%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU225+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 08:41:20 AM UTC 2026
% Result : Theorem 58.36s 14.90s
% Output : CNFRefutation 58.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU225+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 08:53:46 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 58.36/14.90 % SZS status Theorem for theBenchmark.p
% 58.36/14.90 % SZS output start CNFRefutation for theBenchmark.p
% 58.36/14.90 fof(d11_relat_1, axiom, ! [X0] : ((relation(X0) => ! [X1] : ! [X2] : ((relation(X2) => (X2 = 'relation$udom$urestriction'(X0,X1) <=> ! [X3] : ! [X4] : ((in('ordered$upair'(X3,X4),X2) <=> (in(X3,X1) & in('ordered$upair'(X3,X4),X0)))))))))).
% 58.36/14.90 fof(dt_k6_relat_1, axiom, ! [X0] : relation('identity$urelation'(X0))).
% 58.36/14.90 fof(dt_k7_relat_1, axiom, ! [X0] : ! [X1] : ((relation(X0) => relation('relation$udom$urestriction'(X0,X1))))).
% 58.36/14.90 fof(fc2_funct_1, axiom, ! [X0] : ((relation('identity$urelation'(X0)) & function('identity$urelation'(X0))))).
% 58.36/14.90 fof(t23_funct_1, lemma, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => ! [X2] : (((relation(X2) & function(X2)) => (in(X0,'relation$udom'(X1)) => apply('relation$ucomposition'(X1,X2),X0) = apply(X2,apply(X1,X0)))))))).
% 58.36/14.90 fof(t35_funct_1, lemma, ! [X0] : ! [X1] : ((in(X1,X0) => apply('identity$urelation'(X0),X1) = X1))).
% 58.36/14.90 fof(t71_relat_1, lemma, ! [X0] : (('relation$udom'('identity$urelation'(X0)) = X0 & 'relation$urng'('identity$urelation'(X0)) = X0))).
% 58.36/14.90 fof(t94_relat_1, lemma, ! [X0] : ! [X1] : ((relation(X1) => 'relation$udom$urestriction'(X1,X0) = 'relation$ucomposition'('identity$urelation'(X0),X1)))).
% 58.36/14.90 fof(t72_funct_1, conjecture, ! [X0] : ! [X1] : ! [X2] : (((relation(X2) & function(X2)) => (in(X1,X0) => apply('relation$udom$urestriction'(X2,X0),X1) = apply(X2,X1))))).
% 58.36/14.90 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : (((relation(X2) & function(X2)) => (in(X1,X0) => apply('relation$udom$urestriction'(X2,X0),X1) = apply(X2,X1)))), inference(negate_conjecture, [status(cth)], [t72_funct_1])).
% 58.36/14.90 cnf(c24, plain, ~relation(X0) | ~relation(X1) | X1 != 'relation$udom$urestriction'(X0,X2) | X3(X0,X2,X1), inference(clausification, [status(esa)], [d11_relat_1])).
% 58.36/14.90 cnf(c25, plain, ~relation(X0) | ~relation(X1) | X1 = 'relation$udom$urestriction'(X0,X2) | ~X3(X0,X2,X1), inference(clausification, [status(esa)], [d11_relat_1])).
% 58.36/14.90 cnf(c249, plain, relation('identity$urelation'(X0)), inference(clausification, [status(esa)], [dt_k6_relat_1])).
% 58.36/14.90 cnf(c252, plain, ~relation(X0) | relation('relation$udom$urestriction'(X0,X1)), inference(clausification, [status(esa)], [dt_k7_relat_1])).
% 58.36/14.90 cnf(c272, plain, function('identity$urelation'(X0)), inference(clausification, [status(esa)], [fc2_funct_1])).
% 58.36/14.90 cnf(c394, plain, ~in(X0,'relation$udom'(X1)) | ~relation(X1) | ~function(X1) | ~relation(X2) | ~function(X2) | apply('relation$ucomposition'(X1,X2),X0) = apply(X2,apply(X1,X0)), inference(clausification, [status(esa)], [t23_funct_1])).
% 58.36/14.90 cnf(c415, plain, ~in(X0,X1) | apply('identity$urelation'(X1),X0) = X0, inference(clausification, [status(esa)], [t35_funct_1])).
% 58.36/14.90 cnf(c495, plain, 'relation$udom'('identity$urelation'(X0)) = X0, inference(clausification, [status(esa)], [t71_relat_1])).
% 58.36/14.90 cnf(c516, plain, ~relation(X0) | 'relation$udom$urestriction'(X0,X1) = 'relation$ucomposition'('identity$urelation'(X1),X0), inference(clausification, [status(esa)], [t94_relat_1])).
% 58.36/14.90 cnf(c525, plain, relation(sK595), inference(clausification, [status(esa)], [negated_conjecture])).
% 58.36/14.90 cnf(c526, plain, function(sK595), inference(clausification, [status(esa)], [negated_conjecture])).
% 58.36/14.90 cnf(c527, plain, in(sK594,sK593), inference(clausification, [status(esa)], [negated_conjecture])).
% 58.36/14.90 cnf(c528, plain, apply('relation$udom$urestriction'(sK595,sK593),sK594) != apply(sK595,sK594), inference(clausification, [status(esa)], [negated_conjecture])).
% 58.36/14.90 cnf(d0, plain, apply(X0,sK594) != apply(sK595,sK594) | ~relation(X0) | ~relation(sK595) | ~'Ts22'(sK595,sK593,X0), inference(superposition, [status(thm)], [c25,c528])).
% 58.36/14.90 cnf(d1, plain, apply(X0,sK594) != apply(sK595,sK594) | ~relation(X0) | ~'Ts22'(sK595,sK593,X0), inference(resolution, [status(thm)], [c525,d0])).
% 58.36/14.90 cnf(d2, plain, apply(X1,apply(X0,sK594)) != apply(sK595,sK594) | ~relation('relation$ucomposition'(X0,X1)) | ~'Ts22'(sK595,sK593,'relation$ucomposition'(X0,X1)) | ~in(sK594,'relation$udom'(X0)) | ~function(X1) | ~function(X0) | ~relation(X1) | ~relation(X0), inference(superposition, [status(thm)], [c394,d1])).
% 58.36/14.90 cnf(d3, plain, apply(X1,sK594) != apply(sK595,sK594) | ~in(sK594,'relation$udom'('identity$urelation'(X0))) | ~function(X1) | ~function('identity$urelation'(X0)) | ~relation(X1) | ~relation('identity$urelation'(X0)) | ~relation('relation$ucomposition'('identity$urelation'(X0),X1)) | ~'Ts22'(sK595,sK593,'relation$ucomposition'('identity$urelation'(X0),X1)) | ~in(sK594,X0), inference(superposition, [status(thm)], [c415,d2])).
% 58.36/14.90 cnf(d4, plain, apply(X1,sK594) != apply(sK595,sK594) | ~in(sK594,X0) | ~in(sK594,X0) | ~function(X1) | ~function('identity$urelation'(X0)) | ~relation(X1) | ~relation('identity$urelation'(X0)) | ~relation('relation$ucomposition'('identity$urelation'(X0),X1)) | ~'Ts22'(sK595,sK593,'relation$ucomposition'('identity$urelation'(X0),X1)), inference(demodulation, [status(thm)], [d3,c495])).
% 58.36/14.90 cnf(d5, plain, apply(X0,sK594) != apply(sK595,sK594) | ~in(sK594,X1) | ~in(sK594,X1) | ~function(X0) | ~function('identity$urelation'(X1)) | ~relation(X0) | ~relation('relation$ucomposition'('identity$urelation'(X1),X0)) | ~'Ts22'(sK595,sK593,'relation$ucomposition'('identity$urelation'(X1),X0)), inference(resolution, [status(thm)], [c249,d4])).
% 58.36/14.90 cnf(d6, plain, apply(X0,sK594) != apply(sK595,sK594) | ~in(sK594,X1) | ~function(X0) | ~relation(X0) | ~relation('relation$ucomposition'('identity$urelation'(X1),X0)) | ~'Ts22'(sK595,sK593,'relation$ucomposition'('identity$urelation'(X1),X0)), inference(resolution, [status(thm)], [c272,d5])).
% 58.36/14.90 cnf(d7, plain, ~in(sK594,X0) | ~function(sK595) | ~relation(sK595) | ~relation('relation$ucomposition'('identity$urelation'(X0),sK595)) | ~'Ts22'(sK595,sK593,'relation$ucomposition'('identity$urelation'(X0),sK595)), inference(equality_resolution, [status(thm)], [d6])).
% 58.36/14.90 cnf(d8, plain, ~in(sK594,X0) | ~function(sK595) | ~relation('relation$ucomposition'('identity$urelation'(X0),sK595)) | ~'Ts22'(sK595,sK593,'relation$ucomposition'('identity$urelation'(X0),sK595)), inference(resolution, [status(thm)], [c525,d7])).
% 58.36/14.90 cnf(d9, plain, ~in(sK594,X0) | ~relation('relation$ucomposition'('identity$urelation'(X0),sK595)) | ~'Ts22'(sK595,sK593,'relation$ucomposition'('identity$urelation'(X0),sK595)), inference(resolution, [status(thm)], [c526,d8])).
% 58.36/14.90 cnf(d10, plain, ~'Ts22'(sK595,sK593,'relation$udom$urestriction'(sK595,X0)) | ~in(sK594,X0) | ~relation('relation$ucomposition'('identity$urelation'(X0),sK595)) | ~relation(sK595), inference(superposition, [status(thm)], [c516,d9])).
% 58.36/14.90 cnf(d11, plain, ~in(sK594,X0) | ~relation('relation$ucomposition'('identity$urelation'(X0),sK595)) | ~'Ts22'(sK595,sK593,'relation$udom$urestriction'(sK595,X0)), inference(resolution, [status(thm)], [c525,d10])).
% 58.36/14.90 cnf(d12, plain, ~relation(X0) | ~relation('relation$udom$urestriction'(X0,X1)) | 'Ts22'(X0,X1,'relation$udom$urestriction'(X0,X1)), inference(equality_resolution, [status(thm)], [c24])).
% 58.36/14.90 cnf(d13, plain, ~relation(sK595) | ~relation('relation$udom$urestriction'(sK595,sK593)) | ~in(sK594,sK593) | ~relation('relation$ucomposition'('identity$urelation'(sK593),sK595)), inference(resolution, [status(thm)], [d12,d11])).
% 58.36/14.90 cnf(d14, plain, ~in(sK594,sK593) | ~relation('relation$udom$urestriction'(sK595,sK593)) | ~relation('relation$ucomposition'('identity$urelation'(sK593),sK595)), inference(resolution, [status(thm)], [c525,d13])).
% 58.36/14.90 cnf(d15, plain, ~relation('relation$udom$urestriction'(sK595,sK593)) | ~relation('relation$ucomposition'('identity$urelation'(sK593),sK595)), inference(resolution, [status(thm)], [c527,d14])).
% 58.36/14.90 cnf(d16, plain, ~relation('relation$udom$urestriction'(sK595,sK593)) | ~relation('relation$udom$urestriction'(sK595,sK593)) | ~relation(sK595), inference(superposition, [status(thm)], [c516,d15])).
% 58.36/14.90 cnf(d17, plain, ~relation('relation$udom$urestriction'(sK595,sK593)), inference(resolution, [status(thm)], [c525,d16])).
% 58.36/14.90 cnf(d18, plain, ~relation(sK595), inference(resolution, [status(thm)], [d17,c252])).
% 58.36/14.90 cnf(d19, plain, $false, inference(resolution, [status(thm)], [c525,d18])).
% 58.36/14.90 % SZS output end CNFRefutation for theBenchmark.p
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