%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PHI015+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 08:19:38 AM UTC 2026
% Result : Theorem 12.14s 2.13s
% Output : CNFRefutation 12.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI015+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.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 04:37:39 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.14/2.13 % SZS status Theorem for theBenchmark.p
% 12.14/2.13 % SZS output start CNFRefutation for theBenchmark.p
% 12.14/2.13 fof(exemplifier_is_object_and_exemplified_is_property, axiom, ! [X0] : ! [X1] : (('exemplifies$uproperty'(X1,X0) => (property(X1) & object(X0))))).
% 12.14/2.13 fof(description_is_property_and_described_is_object, axiom, ! [X0] : ! [X1] : (('is$uthe'(X0,X1) => (property(X1) & object(X0))))).
% 12.14/2.13 fof(description_axiom_schema_instance, axiom, ! [X0] : ! [X1] : ! [X2] : (((property(X0) & (property(X1) & object(X2))) => (('is$uthe'(X2,X0) & 'exemplifies$uproperty'(X1,X2)) <=> ? [X3] : ((object(X3) & ('exemplifies$uproperty'(X0,X3) & (! [X4] : ((object(X4) => ('exemplifies$uproperty'(X0,X4) => X4 = X3))) & 'exemplifies$uproperty'(X1,X3))))))))).
% 12.14/2.13 fof(description_axiom_identity_instance, axiom, ! [X0] : ! [X1] : ! [X2] : (((property(X0) & (object(X1) & object(X2))) => (('is$uthe'(X1,X0) & X1 = X2) <=> ? [X3] : ((object(X3) & ('exemplifies$uproperty'(X0,X3) & (! [X4] : ((object(X4) => ('exemplifies$uproperty'(X0,X4) => X4 = X3))) & X3 = X2)))))))).
% 12.14/2.13 fof(definition_none_greater, axiom, ! [X0] : ((object(X0) => ('exemplifies$uproperty'('none$ugreater',X0) <=> ('exemplifies$uproperty'(conceivable,X0) & ~? [X1] : ((object(X1) & ('exemplifies$urelation'('greater$uthan',X1,X0) & 'exemplifies$uproperty'(conceivable,X1))))))))).
% 12.14/2.13 fof(premise_1, axiom, ? [X0] : ((object(X0) & 'exemplifies$uproperty'('none$ugreater',X0)))).
% 12.14/2.13 fof(premise_2, axiom, ! [X0] : ((object(X0) => (('is$uthe'(X0,'none$ugreater') & ~'exemplifies$uproperty'(existence,X0)) => ? [X1] : ((object(X1) & ('exemplifies$urelation'('greater$uthan',X1,X0) & 'exemplifies$uproperty'(conceivable,X1)))))))).
% 12.14/2.13 fof(definition_god, axiom, 'is$uthe'(god,'none$ugreater')).
% 12.14/2.13 fof(god_exists, conjecture, 'exemplifies$uproperty'(existence,god)).
% 12.14/2.13 fof(negated_conjecture, negated_conjecture, ~'exemplifies$uproperty'(existence,god), inference(negate_conjecture, [status(cth)], [god_exists])).
% 12.14/2.13 cnf(c1, plain, ~'exemplifies$uproperty'(X0,X1) | property(X0), inference(clausification, [status(esa)], [exemplifier_is_object_and_exemplified_is_property])).
% 12.14/2.13 cnf(c4, plain, ~'is$uthe'(X0,X1) | object(X0), inference(clausification, [status(esa)], [description_is_property_and_described_is_object])).
% 12.14/2.13 cnf(c5, plain, ~property(X0) | ~'is$uthe'(X1,X2) | X3(X2,X0) | ~object(X1) | ~property(X2) | ~'exemplifies$uproperty'(X0,X1), inference(clausification, [status(esa)], [description_axiom_schema_instance])).
% 12.14/2.13 cnf(c10, plain, ~X0(X1,X2) | ~object(X3) | ~'exemplifies$uproperty'(X1,X3) | X3 = sK9(X1,X2), inference(clausification, [status(esa)], [description_axiom_schema_instance])).
% 12.14/2.13 cnf(c11, plain, ~X0(X1,X2) | 'exemplifies$uproperty'(X2,sK9(X1,X2)), inference(clausification, [status(esa)], [description_axiom_schema_instance])).
% 12.14/2.13 cnf(c15, plain, ~object(X0) | ~object(X1) | ~property(X2) | X1 != X0 | ~'is$uthe'(X1,X2) | X3(X2,X0), inference(clausification, [status(esa)], [description_axiom_identity_instance])).
% 12.14/2.13 cnf(c17, plain, ~object(X0) | X1 = X0 | ~property(X2) | ~X3(X2,X0) | ~object(X1), inference(clausification, [status(esa)], [description_axiom_identity_instance])).
% 12.14/2.13 cnf(c19, plain, ~X0(X1,X2) | 'exemplifies$uproperty'(X1,sK17(X1,X2)), inference(clausification, [status(esa)], [description_axiom_identity_instance])).
% 12.14/2.13 cnf(c21, plain, ~X0(X1,X2) | sK17(X1,X2) = X2, inference(clausification, [status(esa)], [description_axiom_identity_instance])).
% 12.14/2.13 cnf(c26, plain, ~object(X0) | ~'exemplifies$uproperty'('none$ugreater',X0) | X1(X0), inference(clausification, [status(esa)], [definition_none_greater])).
% 12.14/2.13 cnf(c28, plain, ~X0(X1) | 'exemplifies$uproperty'(conceivable,X1), inference(clausification, [status(esa)], [definition_none_greater])).
% 12.14/2.13 cnf(c29, plain, ~X0(X1) | ~object(X2) | ~'exemplifies$urelation'('greater$uthan',X2,X1) | ~'exemplifies$uproperty'(conceivable,X2), inference(clausification, [status(esa)], [definition_none_greater])).
% 12.14/2.13 cnf(c33, plain, object(sK27), inference(clausification, [status(esa)], [premise_1])).
% 12.14/2.13 cnf(c34, plain, 'exemplifies$uproperty'('none$ugreater',sK27), inference(clausification, [status(esa)], [premise_1])).
% 12.14/2.13 cnf(c35, plain, ~object(X0) | ~'is$uthe'(X0,'none$ugreater') | 'exemplifies$uproperty'(existence,X0) | object(sK29(X0)), inference(clausification, [status(esa)], [premise_2])).
% 12.14/2.13 cnf(c36, plain, ~object(X0) | ~'is$uthe'(X0,'none$ugreater') | 'exemplifies$uproperty'(existence,X0) | 'exemplifies$urelation'('greater$uthan',sK29(X0),X0), inference(clausification, [status(esa)], [premise_2])).
% 12.14/2.13 cnf(c38, plain, 'is$uthe'(god,'none$ugreater'), inference(clausification, [status(esa)], [definition_god])).
% 12.14/2.13 cnf(c39, plain, ~'exemplifies$uproperty'(existence,god), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.14/2.13 cnf(d0, plain, ~property(X0) | ~property('none$ugreater') | ~object(god) | ~'exemplifies$uproperty'(X0,god) | 'Ts5'('none$ugreater',X0), inference(resolution, [status(thm)], [c38,c5])).
% 12.14/2.13 cnf(d1, plain, property('none$ugreater'), inference(resolution, [status(thm)], [c34,c1])).
% 12.14/2.13 cnf(d2, plain, ~property(X0) | ~object(god) | ~'exemplifies$uproperty'(X0,god) | 'Ts5'('none$ugreater',X0), inference(resolution, [status(thm)], [d1,d0])).
% 12.14/2.13 cnf(d3, plain, object(god), inference(resolution, [status(thm)], [c38,c4])).
% 12.14/2.13 cnf(d4, plain, ~property(X0) | ~'exemplifies$uproperty'(X0,god) | 'Ts5'('none$ugreater',X0), inference(resolution, [status(thm)], [d3,d2])).
% 12.14/2.13 cnf(d5, plain, ~property(conceivable) | 'Ts5'('none$ugreater',conceivable) | ~'Ts23'(god), inference(resolution, [status(thm)], [d4,c28])).
% 12.14/2.13 cnf(d6, plain, ~'Ts23'(X0) | property(conceivable), inference(resolution, [status(thm)], [c28,c1])).
% 12.14/2.13 cnf(d7, plain, ~object(sK27) | 'Ts23'(sK27), inference(resolution, [status(thm)], [c26,c34])).
% 12.14/2.13 cnf(d8, plain, 'Ts23'(sK27), inference(resolution, [status(thm)], [c33,d7])).
% 12.14/2.13 cnf(d9, plain, property(conceivable), inference(resolution, [status(thm)], [d8,d6])).
% 12.14/2.13 cnf(d10, plain, 'Ts5'('none$ugreater',conceivable) | ~'Ts23'(god), inference(resolution, [status(thm)], [d9,d5])).
% 12.14/2.13 cnf(d11, plain, ~'Ts23'(god) | X0 = sK9('none$ugreater',conceivable) | ~object(X0) | ~'exemplifies$uproperty'('none$ugreater',X0), inference(resolution, [status(thm)], [d10,c10])).
% 12.14/2.13 cnf(d12, plain, ~property(X0) | ~object(X1) | ~object(X1) | ~'is$uthe'(X1,X0) | 'Ts13'(X0,X1), inference(equality_resolution, [status(thm)], [c15])).
% 12.14/2.13 cnf(d13, plain, ~property('none$ugreater') | ~object(god) | 'Ts13'('none$ugreater',god), inference(resolution, [status(thm)], [d12,c38])).
% 12.14/2.13 cnf(d14, plain, ~object(god) | 'Ts13'('none$ugreater',god), inference(resolution, [status(thm)], [d1,d13])).
% 12.14/2.13 cnf(d15, plain, 'Ts13'('none$ugreater',god), inference(resolution, [status(thm)], [d3,d14])).
% 12.14/2.13 cnf(d16, plain, sK17('none$ugreater',god) = god, inference(resolution, [status(thm)], [d15,c21])).
% 12.14/2.13 cnf(d17, plain, 'exemplifies$uproperty'('none$ugreater',god) | ~'Ts13'('none$ugreater',god), inference(superposition, [status(thm)], [d16,c19])).
% 12.14/2.13 cnf(d18, plain, 'exemplifies$uproperty'('none$ugreater',god), inference(resolution, [status(thm)], [d15,d17])).
% 12.14/2.13 cnf(d19, plain, ~object(god) | 'Ts23'(god), inference(resolution, [status(thm)], [d18,c26])).
% 12.14/2.13 cnf(d20, plain, 'Ts23'(god), inference(resolution, [status(thm)], [d3,d19])).
% 12.14/2.13 cnf(d21, plain, X0 = sK9('none$ugreater',conceivable) | ~object(X0) | ~'exemplifies$uproperty'('none$ugreater',X0), inference(resolution, [status(thm)], [d20,d11])).
% 12.14/2.13 cnf(d22, plain, sK27 = sK9('none$ugreater',conceivable) | ~object(sK27), inference(resolution, [status(thm)], [d21,c34])).
% 12.14/2.13 cnf(d23, plain, sK27 = sK9('none$ugreater',conceivable), inference(resolution, [status(thm)], [c33,d22])).
% 12.14/2.13 cnf(d24, plain, god = sK9('none$ugreater',conceivable) | ~object(god), inference(resolution, [status(thm)], [d21,d18])).
% 12.14/2.13 cnf(d25, plain, god = sK27 | ~object(god), inference(demodulation, [status(thm)], [d24,d23])).
% 12.14/2.13 cnf(d26, plain, god = sK27, inference(resolution, [status(thm)], [d3,d25])).
% 12.14/2.13 cnf(d27, plain, ~object(god) | object(sK29(god)) | 'exemplifies$uproperty'(existence,god), inference(resolution, [status(thm)], [c35,c38])).
% 12.14/2.13 cnf(d28, plain, object(sK29(god)) | ~object(god), inference(resolution, [status(thm)], [c39,d27])).
% 12.14/2.13 cnf(d29, plain, object(sK29(god)), inference(resolution, [status(thm)], [d3,d28])).
% 12.14/2.13 cnf(d30, plain, object(sK29(sK27)), inference(demodulation, [status(thm)], [d29,d26])).
% 12.14/2.13 cnf(d31, plain, X0 = god | ~property('none$ugreater') | ~object(X0) | ~object(god), inference(resolution, [status(thm)], [d15,c17])).
% 12.14/2.13 cnf(d32, plain, X0 = sK27 | ~property('none$ugreater') | ~object(X0) | ~object(god), inference(demodulation, [status(thm)], [d31,d26])).
% 12.14/2.13 cnf(d33, plain, X0 = sK27 | ~property('none$ugreater') | ~object(X0) | ~object(sK27), inference(demodulation, [status(thm)], [d32,d26])).
% 12.14/2.13 cnf(d34, plain, X0 = sK27 | ~property('none$ugreater') | ~object(X0), inference(resolution, [status(thm)], [c33,d33])).
% 12.14/2.13 cnf(d35, plain, X0 = sK27 | ~object(X0), inference(resolution, [status(thm)], [d1,d34])).
% 12.14/2.13 cnf(d36, plain, sK29(sK27) = sK27, inference(resolution, [status(thm)], [d35,d30])).
% 12.14/2.13 cnf(d37, plain, 'exemplifies$urelation'('greater$uthan',sK27,sK27) | ~object(sK27) | 'exemplifies$uproperty'(existence,sK27) | ~'is$uthe'(sK27,'none$ugreater'), inference(superposition, [status(thm)], [d36,c36])).
% 12.14/2.13 cnf(d38, plain, 'exemplifies$uproperty'(existence,sK27) | ~'is$uthe'(sK27,'none$ugreater') | 'exemplifies$urelation'('greater$uthan',sK27,sK27), inference(resolution, [status(thm)], [c33,d37])).
% 12.14/2.13 cnf(d39, plain, 'is$uthe'(sK27,'none$ugreater'), inference(demodulation, [status(thm)], [c38,d26])).
% 12.14/2.13 cnf(d40, plain, 'exemplifies$uproperty'(existence,sK27) | 'exemplifies$urelation'('greater$uthan',sK27,sK27), inference(resolution, [status(thm)], [d39,d38])).
% 12.14/2.13 cnf(d41, plain, ~'exemplifies$uproperty'(existence,sK27), inference(demodulation, [status(thm)], [c39,d26])).
% 12.14/2.13 cnf(d42, plain, 'exemplifies$urelation'('greater$uthan',sK27,sK27), inference(resolution, [status(thm)], [d41,d40])).
% 12.14/2.13 cnf(d43, plain, ~object(sK27) | ~'exemplifies$uproperty'(conceivable,sK27) | ~'Ts23'(sK27), inference(resolution, [status(thm)], [d42,c29])).
% 12.14/2.13 cnf(d44, plain, ~'exemplifies$uproperty'(conceivable,sK27) | ~'Ts23'(sK27), inference(resolution, [status(thm)], [c33,d43])).
% 12.14/2.13 cnf(d45, plain, 'exemplifies$uproperty'(conceivable,sK27) | ~'Ts5'('none$ugreater',conceivable), inference(superposition, [status(thm)], [d23,c11])).
% 12.14/2.13 cnf(d46, plain, 'Ts5'('none$ugreater',conceivable), inference(resolution, [status(thm)], [d20,d10])).
% 12.14/2.13 cnf(d47, plain, 'exemplifies$uproperty'(conceivable,sK27), inference(resolution, [status(thm)], [d46,d45])).
% 12.14/2.13 cnf(d48, plain, ~'Ts23'(sK27), inference(resolution, [status(thm)], [d47,d44])).
% 12.14/2.13 cnf(d49, plain, $false, inference(resolution, [status(thm)], [d8,d48])).
% 12.14/2.13 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------