%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU223+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 : n011.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 64.61s 14.53s
% Output : CNFRefutation 64.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU223+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n011.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 08:53:45 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.61/14.53 % SZS status Theorem for theBenchmark.p
% 64.61/14.53 % SZS output start CNFRefutation for theBenchmark.p
% 64.61/14.53 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)))))))))).
% 64.61/14.53 fof(dt_k6_relat_1, axiom, ! [X0] : relation('identity$urelation'(X0))).
% 64.61/14.53 fof(dt_k7_relat_1, axiom, ! [X0] : ! [X1] : ((relation(X0) => relation('relation$udom$urestriction'(X0,X1))))).
% 64.61/14.53 fof(fc2_funct_1, axiom, ! [X0] : ((relation('identity$urelation'(X0)) & function('identity$urelation'(X0))))).
% 64.61/14.53 fof(t23_funct_1, lemma, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => ! [X2] : (((relation(X2) & function(X2)) => (in(X0,'relation$udom'(X1)) => apply('relation$ucomposition'(X1,X2),X0) = apply(X2,apply(X1,X0)))))))).
% 64.61/14.53 fof(t35_funct_1, lemma, ! [X0] : ! [X1] : ((in(X1,X0) => apply('identity$urelation'(X0),X1) = X1))).
% 64.61/14.53 fof(t71_relat_1, lemma, ! [X0] : (('relation$udom'('identity$urelation'(X0)) = X0 & 'relation$urng'('identity$urelation'(X0)) = X0))).
% 64.61/14.53 fof(t86_relat_1, lemma, ! [X0] : ! [X1] : ! [X2] : ((relation(X2) => (in(X0,'relation$udom'('relation$udom$urestriction'(X2,X1))) <=> (in(X0,X1) & in(X0,'relation$udom'(X2))))))).
% 64.61/14.53 fof(t94_relat_1, lemma, ! [X0] : ! [X1] : ((relation(X1) => 'relation$udom$urestriction'(X1,X0) = 'relation$ucomposition'('identity$urelation'(X0),X1)))).
% 64.61/14.53 fof(t70_funct_1, conjecture, ! [X0] : ! [X1] : ! [X2] : (((relation(X2) & function(X2)) => (in(X1,'relation$udom'('relation$udom$urestriction'(X2,X0))) => apply('relation$udom$urestriction'(X2,X0),X1) = apply(X2,X1))))).
% 64.61/14.53 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : (((relation(X2) & function(X2)) => (in(X1,'relation$udom'('relation$udom$urestriction'(X2,X0))) => apply('relation$udom$urestriction'(X2,X0),X1) = apply(X2,X1)))), inference(negate_conjecture, [status(cth)], [t70_funct_1])).
% 64.61/14.53 cnf(c24, plain, ~relation(X0) | ~relation(X1) | X1 != 'relation$udom$urestriction'(X0,X2) | X3(X0,X2,X1), inference(clausification, [status(esa)], [d11_relat_1])).
% 64.61/14.53 cnf(c25, plain, ~relation(X0) | ~relation(X1) | X1 = 'relation$udom$urestriction'(X0,X2) | ~X3(X0,X2,X1), inference(clausification, [status(esa)], [d11_relat_1])).
% 64.61/14.53 cnf(c249, plain, relation('identity$urelation'(X0)), inference(clausification, [status(esa)], [dt_k6_relat_1])).
% 64.61/14.53 cnf(c252, plain, ~relation(X0) | relation('relation$udom$urestriction'(X0,X1)), inference(clausification, [status(esa)], [dt_k7_relat_1])).
% 64.61/14.53 cnf(c272, plain, function('identity$urelation'(X0)), inference(clausification, [status(esa)], [fc2_funct_1])).
% 64.61/14.53 cnf(c391, plain, ~relation(X0) | ~function(X0) | apply('relation$ucomposition'(X0,X1),X2) = apply(X1,apply(X0,X2)) | ~function(X1) | ~in(X2,'relation$udom'(X0)) | ~relation(X1), inference(clausification, [status(esa)], [t23_funct_1])).
% 64.61/14.53 cnf(c412, plain, ~in(X0,X1) | apply('identity$urelation'(X1),X0) = X0, inference(clausification, [status(esa)], [t35_funct_1])).
% 64.61/14.53 cnf(c491, plain, 'relation$udom'('identity$urelation'(X0)) = X0, inference(clausification, [status(esa)], [t71_relat_1])).
% 64.61/14.53 cnf(c500, plain, ~relation(X0) | ~in(X1,'relation$udom'('relation$udom$urestriction'(X0,X2))) | in(X1,X2), inference(clausification, [status(esa)], [t86_relat_1])).
% 64.61/14.53 cnf(c512, plain, ~relation(X0) | 'relation$udom$urestriction'(X0,X1) = 'relation$ucomposition'('identity$urelation'(X1),X0), inference(clausification, [status(esa)], [t94_relat_1])).
% 64.61/14.53 cnf(c521, plain, relation(sK589), inference(clausification, [status(esa)], [negated_conjecture])).
% 64.61/14.53 cnf(c522, plain, function(sK589), inference(clausification, [status(esa)], [negated_conjecture])).
% 64.61/14.53 cnf(c523, plain, in(sK588,'relation$udom'('relation$udom$urestriction'(sK589,sK587))), inference(clausification, [status(esa)], [negated_conjecture])).
% 64.61/14.53 cnf(c524, plain, apply('relation$udom$urestriction'(sK589,sK587),sK588) != apply(sK589,sK588), inference(clausification, [status(esa)], [negated_conjecture])).
% 64.61/14.53 cnf(d0, plain, apply(X0,sK588) != apply(sK589,sK588) | ~relation(X0) | ~relation(sK589) | ~'Ts22'(sK589,sK587,X0), inference(superposition, [status(thm)], [c25,c524])).
% 64.61/14.53 cnf(d1, plain, apply(X0,sK588) != apply(sK589,sK588) | ~relation(X0) | ~'Ts22'(sK589,sK587,X0), inference(resolution, [status(thm)], [c521,d0])).
% 64.61/14.53 cnf(d2, plain, apply(X1,apply(X0,sK588)) != apply(sK589,sK588) | ~relation('relation$ucomposition'(X0,X1)) | ~'Ts22'(sK589,sK587,'relation$ucomposition'(X0,X1)) | ~in(sK588,'relation$udom'(X0)) | ~function(X0) | ~function(X1) | ~relation(X0) | ~relation(X1), inference(superposition, [status(thm)], [c391,d1])).
% 64.61/14.53 cnf(d3, plain, apply(X1,sK588) != apply(sK589,sK588) | ~in(sK588,'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'(sK589,sK587,'relation$ucomposition'('identity$urelation'(X0),X1)) | ~in(sK588,X0), inference(superposition, [status(thm)], [c412,d2])).
% 64.61/14.53 cnf(d4, plain, apply(X1,sK588) != apply(sK589,sK588) | ~in(sK588,X0) | ~in(sK588,X0) | ~function(X1) | ~function('identity$urelation'(X0)) | ~relation(X1) | ~relation('identity$urelation'(X0)) | ~relation('relation$ucomposition'('identity$urelation'(X0),X1)) | ~'Ts22'(sK589,sK587,'relation$ucomposition'('identity$urelation'(X0),X1)), inference(demodulation, [status(thm)], [d3,c491])).
% 64.61/14.53 cnf(d5, plain, apply(X0,sK588) != apply(sK589,sK588) | ~in(sK588,X1) | ~in(sK588,X1) | ~function(X0) | ~function('identity$urelation'(X1)) | ~relation(X0) | ~relation('relation$ucomposition'('identity$urelation'(X1),X0)) | ~'Ts22'(sK589,sK587,'relation$ucomposition'('identity$urelation'(X1),X0)), inference(resolution, [status(thm)], [c249,d4])).
% 64.61/14.53 cnf(d6, plain, apply(X0,sK588) != apply(sK589,sK588) | ~in(sK588,X1) | ~function(X0) | ~relation(X0) | ~relation('relation$ucomposition'('identity$urelation'(X1),X0)) | ~'Ts22'(sK589,sK587,'relation$ucomposition'('identity$urelation'(X1),X0)), inference(resolution, [status(thm)], [c272,d5])).
% 64.61/14.53 cnf(d7, plain, ~in(sK588,X0) | ~function(sK589) | ~relation(sK589) | ~relation('relation$ucomposition'('identity$urelation'(X0),sK589)) | ~'Ts22'(sK589,sK587,'relation$ucomposition'('identity$urelation'(X0),sK589)), inference(equality_resolution, [status(thm)], [d6])).
% 64.61/14.53 cnf(d8, plain, ~in(sK588,X0) | ~function(sK589) | ~relation('relation$ucomposition'('identity$urelation'(X0),sK589)) | ~'Ts22'(sK589,sK587,'relation$ucomposition'('identity$urelation'(X0),sK589)), inference(resolution, [status(thm)], [c521,d7])).
% 64.61/14.53 cnf(d9, plain, ~in(sK588,X0) | ~relation('relation$ucomposition'('identity$urelation'(X0),sK589)) | ~'Ts22'(sK589,sK587,'relation$ucomposition'('identity$urelation'(X0),sK589)), inference(resolution, [status(thm)], [c522,d8])).
% 64.61/14.53 cnf(d10, plain, ~'Ts22'(sK589,sK587,'relation$udom$urestriction'(sK589,X0)) | ~in(sK588,X0) | ~relation('relation$ucomposition'('identity$urelation'(X0),sK589)) | ~relation(sK589), inference(superposition, [status(thm)], [c512,d9])).
% 64.61/14.53 cnf(d11, plain, ~in(sK588,X0) | ~relation('relation$ucomposition'('identity$urelation'(X0),sK589)) | ~'Ts22'(sK589,sK587,'relation$udom$urestriction'(sK589,X0)), inference(resolution, [status(thm)], [c521,d10])).
% 64.61/14.53 cnf(d12, plain, ~relation(X0) | ~relation('relation$udom$urestriction'(X0,X1)) | 'Ts22'(X0,X1,'relation$udom$urestriction'(X0,X1)), inference(equality_resolution, [status(thm)], [c24])).
% 64.61/14.53 cnf(d13, plain, ~relation(sK589) | ~relation('relation$udom$urestriction'(sK589,sK587)) | ~in(sK588,sK587) | ~relation('relation$ucomposition'('identity$urelation'(sK587),sK589)), inference(resolution, [status(thm)], [d12,d11])).
% 64.61/14.53 cnf(d14, plain, ~in(sK588,sK587) | ~relation('relation$udom$urestriction'(sK589,sK587)) | ~relation('relation$ucomposition'('identity$urelation'(sK587),sK589)), inference(resolution, [status(thm)], [c521,d13])).
% 64.61/14.53 cnf(d15, plain, in(sK588,sK587) | ~relation(sK589), inference(resolution, [status(thm)], [c500,c523])).
% 64.61/14.53 cnf(d16, plain, in(sK588,sK587), inference(resolution, [status(thm)], [c521,d15])).
% 64.61/14.53 cnf(d17, plain, ~relation('relation$udom$urestriction'(sK589,sK587)) | ~relation('relation$ucomposition'('identity$urelation'(sK587),sK589)), inference(resolution, [status(thm)], [d16,d14])).
% 64.61/14.53 cnf(d18, plain, ~relation('relation$udom$urestriction'(sK589,sK587)) | ~relation('relation$udom$urestriction'(sK589,sK587)) | ~relation(sK589), inference(superposition, [status(thm)], [c512,d17])).
% 64.61/14.53 cnf(d19, plain, ~relation('relation$udom$urestriction'(sK589,sK587)), inference(resolution, [status(thm)], [c521,d18])).
% 64.61/14.53 cnf(d20, plain, ~relation(sK589), inference(resolution, [status(thm)], [d19,c252])).
% 64.61/14.53 cnf(d21, plain, $false, inference(resolution, [status(thm)], [c521,d20])).
% 64.61/14.53 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------