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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SWB027+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 08:50:58 AM UTC 2026

% Result   : Theorem 22.81s 3.32s
% Output   : CNFRefutation 22.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB027+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n017.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sat Sep 26 11:47:03 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.81/3.32  % SZS status Theorem for theBenchmark.p
% 22.81/3.32  % SZS output start CNFRefutation for theBenchmark.p
% 22.81/3.32  fof(rdfs_cext_def, axiom, ! [X0] : ! [X1] : ((iext('uri$urdf$utype',X0,X1) <=> icext(X1,X0)))).
% 22.81/3.32  fof(owl_eqdis_sameas, axiom, ! [X0] : ! [X1] : ((iext('uri$uowl$usameAs',X0,X1) <=> X0 = X1))).
% 22.81/3.32  fof(owl_chain_002, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((iext('uri$urdf$ufirst',X1,X2) & (iext('uri$urdf$urest',X1,X3) & (iext('uri$urdf$ufirst',X3,X4) & iext('uri$urdf$urest',X3,'uri$urdf$unil')))) => (iext('uri$uowl$upropertyChainAxiom',X0,X1) <=> (ip(X0) & (ip(X2) & (ip(X4) & ! [X5] : ! [X6] : ! [X7] : (((iext(X2,X5,X6) & iext(X4,X6,X7)) => iext(X0,X5,X7)))))))))).
% 22.81/3.32  fof(owl_char_inversefunctional, axiom, ! [X0] : ((icext('uri$uowl$uInverseFunctionalProperty',X0) <=> (ip(X0) & ! [X1] : ! [X2] : ! [X3] : (((iext(X0,X1,X3) & iext(X0,X2,X3)) => X1 = X2)))))).
% 22.81/3.32  fof(owl_inv, axiom, ! [X0] : ! [X1] : ((iext('uri$uowl$uinverseOf',X0,X1) <=> (ip(X0) & (ip(X1) & ! [X2] : ! [X3] : ((iext(X0,X2,X3) <=> iext(X1,X3,X2)))))))).
% 22.81/3.32  fof(testcase_premise_fullish_027_Inferred_Property_Characteristics_II, axiom, ? [X0] : ? [X1] : ? [X2] : ((iext('uri$uowl$upropertyChainAxiom','uri$uowl$usameAs',X0) & (iext('uri$urdf$ufirst',X0,'uri$uex$up') & (iext('uri$urdf$urest',X0,X1) & (iext('uri$urdf$ufirst',X1,X2) & (iext('uri$urdf$urest',X1,'uri$urdf$unil') & iext('uri$uowl$uinverseOf',X2,'uri$uex$up')))))))).
% 22.81/3.32  fof(testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II, conjecture, iext('uri$urdf$utype','uri$uex$up','uri$uowl$uInverseFunctionalProperty')).
% 22.81/3.32  fof(negated_conjecture, negated_conjecture, ~iext('uri$urdf$utype','uri$uex$up','uri$uowl$uInverseFunctionalProperty'), inference(negate_conjecture, [status(cth)], [testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II])).
% 22.81/3.32  cnf(c1, plain, iext('uri$urdf$utype',X0,X1) | ~icext(X1,X0), inference(clausification, [status(esa)], [rdfs_cext_def])).
% 22.81/3.32  cnf(c2, plain, ~iext('uri$uowl$usameAs',X0,X1) | X0 = X1, inference(clausification, [status(esa)], [owl_eqdis_sameas])).
% 22.81/3.32  cnf(c4, plain, ~iext('uri$urdf$ufirst',X0,X1) | ~iext('uri$urdf$urest',X2,X0) | ~iext('uri$urdf$urest',X0,'uri$urdf$unil') | ~iext('uri$uowl$upropertyChainAxiom',X3,X2) | ~iext('uri$urdf$ufirst',X2,X4) | X5(X3,X4,X1), inference(clausification, [status(esa)], [owl_chain_002])).
% 22.81/3.32  cnf(c9, plain, ~X0(X1,X2,X3) | ~iext(X2,X4,X5) | ~iext(X3,X5,X6) | iext(X1,X4,X6), inference(clausification, [status(esa)], [owl_chain_002])).
% 22.81/3.32  cnf(c14, plain, icext('uri$uowl$uInverseFunctionalProperty',X0) | ~X1(X0), inference(clausification, [status(esa)], [owl_char_inversefunctional])).
% 22.81/3.32  cnf(c17, plain, X0(X1) | ~ip(X1) | iext(X1,sK21(X1),sK23(X1)), inference(clausification, [status(esa)], [owl_char_inversefunctional])).
% 22.81/3.32  cnf(c18, plain, X0(X1) | ~ip(X1) | iext(X1,sK22(X1),sK23(X1)), inference(clausification, [status(esa)], [owl_char_inversefunctional])).
% 22.81/3.32  cnf(c19, plain, X0(X1) | ~ip(X1) | sK21(X1) != sK22(X1), inference(clausification, [status(esa)], [owl_char_inversefunctional])).
% 22.81/3.32  cnf(c20, plain, ~iext('uri$uowl$uinverseOf',X0,X1) | X2(X0,X1), inference(clausification, [status(esa)], [owl_inv])).
% 22.81/3.32  cnf(c23, plain, ~X0(X1,X2) | ip(X2), inference(clausification, [status(esa)], [owl_inv])).
% 22.81/3.32  cnf(c24, plain, ~X0(X1,X2) | ~iext(X1,X3,X4) | iext(X2,X4,X3), inference(clausification, [status(esa)], [owl_inv])).
% 22.81/3.32  cnf(c25, plain, ~X0(X1,X2) | iext(X1,X3,X4) | ~iext(X2,X4,X3), inference(clausification, [status(esa)], [owl_inv])).
% 22.81/3.32  cnf(c30, plain, iext('uri$uowl$upropertyChainAxiom','uri$uowl$usameAs',sK31), inference(clausification, [status(esa)], [testcase_premise_fullish_027_Inferred_Property_Characteristics_II])).
% 22.81/3.32  cnf(c31, plain, iext('uri$urdf$ufirst',sK31,'uri$uex$up'), inference(clausification, [status(esa)], [testcase_premise_fullish_027_Inferred_Property_Characteristics_II])).
% 22.81/3.32  cnf(c32, plain, iext('uri$urdf$urest',sK31,sK32), inference(clausification, [status(esa)], [testcase_premise_fullish_027_Inferred_Property_Characteristics_II])).
% 22.81/3.32  cnf(c33, plain, iext('uri$urdf$ufirst',sK32,sK33), inference(clausification, [status(esa)], [testcase_premise_fullish_027_Inferred_Property_Characteristics_II])).
% 22.81/3.32  cnf(c34, plain, iext('uri$urdf$urest',sK32,'uri$urdf$unil'), inference(clausification, [status(esa)], [testcase_premise_fullish_027_Inferred_Property_Characteristics_II])).
% 22.81/3.32  cnf(c35, plain, iext('uri$uowl$uinverseOf',sK33,'uri$uex$up'), inference(clausification, [status(esa)], [testcase_premise_fullish_027_Inferred_Property_Characteristics_II])).
% 22.81/3.32  cnf(c36, plain, ~iext('uri$urdf$utype','uri$uex$up','uri$uowl$uInverseFunctionalProperty'), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.81/3.32  cnf(d0, plain, ~iext('uri$urdf$ufirst',X0,X1) | ~iext('uri$urdf$ufirst',sK31,X2) | ~iext('uri$urdf$urest',X0,'uri$urdf$unil') | ~iext('uri$urdf$urest',sK31,X0) | 'Ts4'('uri$uowl$usameAs',X2,X1), inference(resolution, [status(thm)], [c4,c30])).
% 22.81/3.32  cnf(d1, plain, ~iext('uri$urdf$ufirst',sK32,X0) | ~iext('uri$urdf$ufirst',sK31,X1) | ~iext('uri$urdf$urest',sK32,'uri$urdf$unil') | 'Ts4'('uri$uowl$usameAs',X1,X0), inference(resolution, [status(thm)], [d0,c32])).
% 22.81/3.32  cnf(d2, plain, ~iext('uri$urdf$ufirst',sK31,X0) | ~iext('uri$urdf$ufirst',sK32,X1) | 'Ts4'('uri$uowl$usameAs',X0,X1), inference(resolution, [status(thm)], [c34,d1])).
% 22.81/3.32  cnf(d3, plain, ~iext('uri$urdf$ufirst',sK31,X0) | 'Ts4'('uri$uowl$usameAs',X0,sK33), inference(resolution, [status(thm)], [d2,c33])).
% 22.81/3.32  cnf(d4, plain, 'Ts4'('uri$uowl$usameAs','uri$uex$up',sK33), inference(resolution, [status(thm)], [d3,c31])).
% 22.81/3.32  cnf(d5, plain, ~iext(sK33,X0,X1) | iext('uri$uowl$usameAs',X2,X1) | ~iext('uri$uex$up',X2,X0), inference(resolution, [status(thm)], [d4,c9])).
% 22.81/3.32  cnf(d6, plain, 'Ts24'(sK33,'uri$uex$up'), inference(resolution, [status(thm)], [c20,c35])).
% 22.81/3.32  cnf(d7, plain, iext(X0,sK23(X1),sK21(X1)) | ~'Ts24'(X0,X1) | ~ip(X1) | 'Ts16'(X1), inference(resolution, [status(thm)], [c25,c17])).
% 22.81/3.32  cnf(d8, plain, ~ip(X0) | 'Ts16'(X0) | ~'Ts24'(X1,X0) | iext(X2,sK21(X0),sK23(X0)) | ~'Ts24'(X1,X2), inference(resolution, [status(thm)], [d7,c24])).
% 22.81/3.32  cnf(d9, plain, iext(X0,sK21('uri$uex$up'),sK23('uri$uex$up')) | ~ip('uri$uex$up') | 'Ts16'('uri$uex$up') | ~'Ts24'(sK33,X0), inference(resolution, [status(thm)], [d8,d6])).
% 22.81/3.32  cnf(d10, plain, ~icext('uri$uowl$uInverseFunctionalProperty','uri$uex$up'), inference(resolution, [status(thm)], [c1,c36])).
% 22.81/3.32  cnf(d11, plain, ~'Ts16'('uri$uex$up'), inference(resolution, [status(thm)], [c14,d10])).
% 22.81/3.32  cnf(d12, plain, iext(X0,sK21('uri$uex$up'),sK23('uri$uex$up')) | ~ip('uri$uex$up') | ~'Ts24'(sK33,X0), inference(resolution, [status(thm)], [d11,d9])).
% 22.81/3.32  cnf(d13, plain, ip('uri$uex$up'), inference(resolution, [status(thm)], [d6,c23])).
% 22.81/3.32  cnf(d14, plain, iext(X0,sK21('uri$uex$up'),sK23('uri$uex$up')) | ~'Ts24'(sK33,X0), inference(resolution, [status(thm)], [d13,d12])).
% 22.81/3.32  cnf(d15, plain, ~'Ts24'(sK33,X0) | iext(X1,sK23('uri$uex$up'),sK21('uri$uex$up')) | ~'Ts24'(X1,X0), inference(resolution, [status(thm)], [d14,c25])).
% 22.81/3.32  cnf(d16, plain, iext(X0,sK23('uri$uex$up'),sK21('uri$uex$up')) | ~'Ts24'(X0,'uri$uex$up'), inference(resolution, [status(thm)], [d15,d6])).
% 22.81/3.32  cnf(d17, plain, ~'Ts24'(sK33,'uri$uex$up') | iext('uri$uowl$usameAs',X0,sK21('uri$uex$up')) | ~iext('uri$uex$up',X0,sK23('uri$uex$up')), inference(resolution, [status(thm)], [d16,d5])).
% 22.81/3.32  cnf(d18, plain, iext('uri$uowl$usameAs',X0,sK21('uri$uex$up')) | ~iext('uri$uex$up',X0,sK23('uri$uex$up')), inference(resolution, [status(thm)], [d6,d17])).
% 22.81/3.32  cnf(d19, plain, iext('uri$uowl$usameAs',sK22('uri$uex$up'),sK21('uri$uex$up')) | ~ip('uri$uex$up') | 'Ts16'('uri$uex$up'), inference(resolution, [status(thm)], [d18,c18])).
% 22.81/3.32  cnf(d20, plain, iext('uri$uowl$usameAs',sK22('uri$uex$up'),sK21('uri$uex$up')) | ~ip('uri$uex$up'), inference(resolution, [status(thm)], [d11,d19])).
% 22.81/3.32  cnf(d21, plain, iext('uri$uowl$usameAs',sK22('uri$uex$up'),sK21('uri$uex$up')), inference(resolution, [status(thm)], [d13,d20])).
% 22.81/3.32  cnf(d22, plain, sK22('uri$uex$up') = sK21('uri$uex$up'), inference(resolution, [status(thm)], [d21,c2])).
% 22.81/3.32  cnf(d23, plain, sK21('uri$uex$up') != sK21('uri$uex$up') | ~ip('uri$uex$up') | 'Ts16'('uri$uex$up'), inference(superposition, [status(thm)], [d22,c19])).
% 22.81/3.32  cnf(d24, plain, sK21('uri$uex$up') != sK21('uri$uex$up') | ~ip('uri$uex$up'), inference(resolution, [status(thm)], [d11,d23])).
% 22.81/3.32  cnf(d25, plain, sK21('uri$uex$up') != sK21('uri$uex$up'), inference(resolution, [status(thm)], [d13,d24])).
% 22.81/3.32  cnf(d26, plain, $false, inference(equality_resolution, [status(thm)], [d25])).
% 22.81/3.32  % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------