SZSOntology.hs revision a1f84b69876a0dd946e68c1f96b783a3c99b9729
01c674544bd4c211141bcd9fb09b96ffc18c6c3dndModule : $Header$
01c674544bd4c211141bcd9fb09b96ffc18c6c3dndDescription : The SZS ontology for TPTP prover results
01c674544bd4c211141bcd9fb09b96ffc18c6c3dndCopyright : (c) Christian Maeder DFKI GmbH 2010
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26ndLicense : GPLv2 or higher, see LICENSE.txt
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26ndMaintainer : Christian.Maeder@dfki.de
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26ndStability : provisional
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26ndPortability : portable
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26ndsee <http://www.cs.miami.edu/~tptp/> under Documents and SZSOntology
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26ndsuccesses :: [(String, String)]
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26ndsuccesses =
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd [ ("Success", "SUC")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd -- The logical data has been processed successfully.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("UnsatisfiabilityPreserving", "UNP")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- If there does not exist a model of Ax then there does not exist a model of
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd C, i.e., if Ax is unsatisfiable then C is unsatisfiable. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("SatisfiabilityPreserving", "SAP")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- If there exists a model of Ax then there exists a model of C, i.e., if Ax
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd is satisfiable then C is satisfiable.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - F is satisfiable. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("EquiSatisfiable", "ESA")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- There exists a model of Ax iff there exists a model of C, i.e., Ax is
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd (un)satisfiable iff C is (un)satisfiable. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("Satisfiable", "SAT")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- Some interpretations are models of Ax, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd some models of Ax are models of C.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - F is satisfiable, and ~F is not valid.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - Possible dataforms are Models of Ax | C. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("FinitelySatisfiable", "FSA")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- Some finite interpretations are finite models of Ax, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd some finite models of Ax are finite models of C.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - F is satisfiable, and ~F is not valid.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - Possible dataforms are FiniteModels of Ax | C. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("Theorem", "THM")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- All models of Ax are models of C.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - F is valid, and C is a theorem of Ax.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - Possible dataforms are Proofs of C from Ax. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("Equivalent", "EQV")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- Some interpretations are models of Ax,
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd all models of Ax are models of C, and
f5f948a91315652103ddae08be22d76f63ba96d4nd all models of C are models of Ax.
f5f948a91315652103ddae08be22d76f63ba96d4nd - F is valid, C is a theorem of Ax, and Ax is a theorem of C.
f5f948a91315652103ddae08be22d76f63ba96d4nd - Possible dataforms are Proofs of C from Ax and of Ax from C. -}
f5f948a91315652103ddae08be22d76f63ba96d4nd , ("TautologousConclusion", "TAC")
f5f948a91315652103ddae08be22d76f63ba96d4nd {- Some interpretations are models of Ax, and
f5f948a91315652103ddae08be22d76f63ba96d4nd all interpretations are models of C.
f5f948a91315652103ddae08be22d76f63ba96d4nd - F is valid, and C is a tautology.
f5f948a91315652103ddae08be22d76f63ba96d4nd - Possible dataforms are Proofs of C. -}
f5f948a91315652103ddae08be22d76f63ba96d4nd , ("WeakerConclusion", "WEC")
f5f948a91315652103ddae08be22d76f63ba96d4nd {- Some interpretations are models of Ax,
f5f948a91315652103ddae08be22d76f63ba96d4nd all models of Ax are models of C, and
f5f948a91315652103ddae08be22d76f63ba96d4nd some models of C are not models of Ax.
f5f948a91315652103ddae08be22d76f63ba96d4nd - See Theorem and Satisfiable. -}
f5f948a91315652103ddae08be22d76f63ba96d4nd , ("EquivalentTheorem", "ETH")
f5f948a91315652103ddae08be22d76f63ba96d4nd {- Some, but not all, interpretations are models of Ax,
f5f948a91315652103ddae08be22d76f63ba96d4nd all models of Ax are models of C, and
f5f948a91315652103ddae08be22d76f63ba96d4nd all models of C are models of Ax.
f5f948a91315652103ddae08be22d76f63ba96d4nd - See Equivalent. -}
f5f948a91315652103ddae08be22d76f63ba96d4nd , ("Tautology", "TAU")
f5f948a91315652103ddae08be22d76f63ba96d4nd {- All interpretations are models of Ax, and
f5f948a91315652103ddae08be22d76f63ba96d4nd all interpretations are models of C.
f5f948a91315652103ddae08be22d76f63ba96d4nd - F is valid, ~F is unsatisfiable, and C is a tautology.
f5f948a91315652103ddae08be22d76f63ba96d4nd - Possible dataforms are Proofs of Ax and of C. -}
f5f948a91315652103ddae08be22d76f63ba96d4nd , ("WeakerTautologousConclusion", "WTC")
f5f948a91315652103ddae08be22d76f63ba96d4nd {- Some, but not all, interpretations are models of Ax, and
f5f948a91315652103ddae08be22d76f63ba96d4nd all interpretations are models of C.
f5f948a91315652103ddae08be22d76f63ba96d4nd - F is valid, and C is a tautology.
f5f948a91315652103ddae08be22d76f63ba96d4nd - See TautologousConclusion and WeakerConclusion. -}
f5f948a91315652103ddae08be22d76f63ba96d4nd , ("WeakerTheorem", "WTH")
f5f948a91315652103ddae08be22d76f63ba96d4nd {- Some interpretations are models of Ax,
f5f948a91315652103ddae08be22d76f63ba96d4nd all models of Ax are models of C,
f5f948a91315652103ddae08be22d76f63ba96d4nd some models of C are not models of Ax, and
f5f948a91315652103ddae08be22d76f63ba96d4nd some interpretations are not models of C.
f5f948a91315652103ddae08be22d76f63ba96d4nd - See Theorem and Satisfiable. -}
f5f948a91315652103ddae08be22d76f63ba96d4nd , ("ContradictoryAxioms", "CAX")
f5f948a91315652103ddae08be22d76f63ba96d4nd {- No interpretations are models of Ax.
f5f948a91315652103ddae08be22d76f63ba96d4nd - F is valid, and anything is a theorem of Ax.
f5f948a91315652103ddae08be22d76f63ba96d4nd - Possible dataforms are Refutations of Ax. -}
f5f948a91315652103ddae08be22d76f63ba96d4nd , ("SatisfiableConclusionContradictoryAxioms", "SCA")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- No interpretations are models of Ax, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd some interpretations are models of C.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - See ContradictoryAxioms. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("TautologousConclusionContradictoryAxioms", "TCA")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- No interpretations are models of Ax, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd all interpretations are models of C.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - See TautologousConclusion and SatisfiableConclusionContradictoryAxioms. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("WeakerConclusionContradictoryAxioms", "WCA")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- No interpretations are models of Ax, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd some, but not all, interpretations are models of C.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - See SatisfiableConclusionContradictoryAxioms and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd SatisfiableCounterConclusionContradictoryAxioms. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("CounterUnsatisfiabilityPreserving", "CUP")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- If there does not exist a model of Ax then there does not exist a model of
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd ~C, i.e., if Ax is unsatisfiable then ~C is unsatisfiable. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("CounterSatisfiabilityPreserving", "CSP")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- If there exists a model of Ax then there exists a model of ~C, i.e., if Ax
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd is satisfiable then ~C is satisfiable. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("EquiCounterSatisfiable", "ECS")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- There exists a model of Ax iff there exists a model of ~C, i.e., Ax is
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd (un)satisfiable iff ~C is (un)satisfiable. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("CounterSatisfiable", "CSA")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- Some interpretations are models of Ax, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd some models of Ax are models of ~C.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - F is not valid, ~F is satisfiable, and C is not a theorem of Ax.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - Possible dataforms are Models of Ax | ~C. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("CounterTheorem", "CTH")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- All models of Ax are models of ~C.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - F is not valid, and ~C is a theorem of Ax.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - Possible dataforms are Proofs of ~C from Ax. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("CounterEquivalent", "CEQ")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- Some interpretations are models of Ax,
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd all models of Ax are models of ~C, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd all models of ~C are models of Ax
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd (i.e., all interpretations are models of Ax xor of C).
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - F is not valid, and ~C is a theorem of Ax.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - Possible dataforms are Proofs of ~C from Ax and of Ax from ~C. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("UnsatisfiableConclusion", "UNC")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- Some interpretations are models of Ax, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd all interpretations are models of ~C
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd (i.e., no interpretations are models of C).
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - F is not valid, and ~C is a tautology.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - Possible dataforms are Proofs of ~C. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("WeakerCounterConclusion", "WCC")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- Some interpretations are models of Ax, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd all models of Ax are models of ~C, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd some models of ~C are not models of Ax.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - See CounterTheorem and CounterSatisfiable. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("EquivalentCounterTheorem", "ECT")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- Some, but not all, interpretations are models of Ax,
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd all models of Ax are models of ~C, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd all models of ~C are models of Ax.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - See CounterEquivalent. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("FinitelyUnsatisfiable", "FUN")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- All finite interpretations are finite models of Ax, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd all finite interpretations are finite models of ~C
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd (i.e., no finite interpretations are finite models of C). -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("Unsatisfiable", "UNS")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- All interpretations are models of Ax, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd all interpretations are models of ~C.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd (i.e., no interpretations are models of C).
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - F is unsatisfiable, ~F is valid, and ~C is a tautology.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - Possible dataforms are Proofs of Ax and of C, and Refutations of F. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("WeakerUnsatisfiableConclusion", "WUC")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- Some, but not all, interpretations are models of Ax, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd all interpretations are models of ~C.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - See Unsatisfiable and WeakerCounterConclusion. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("WeakerCounterTheorem", "WCT")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- Some interpretations are models of Ax,
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd all models of Ax are models of ~C,
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd some models of ~C are not models of Ax, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd some interpretations are not models of ~C.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - See CounterSatisfiable. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("SatisfiableCounterConclusionContradictoryAxioms", "SCC")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- No interpretations are models of Ax, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd some interpretations are models of ~C.
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - See ContradictoryAxioms. -}
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd , ("UnsatisfiableConclusionContradictoryAxioms", "UCA")
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd {- No interpretations are models of Ax, and
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd all interpretations are models of ~C
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd (i.e., no interpretations are models of C).
29fb68cf24dbdb4985cbb4734cb6074ea4bbab26nd - See UnsatisfiableConclusion and