%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU292+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 08:41:33 AM UTC 2026
% Result : Theorem 22.33s 3.39s
% Output : CNFRefutation 22.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU292+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n015.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 09:10:13 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.33/3.39 % SZS status Theorem for theBenchmark.p
% 22.33/3.39 % SZS output start CNFRefutation for theBenchmark.p
% 22.33/3.39 fof(cc1_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : ((element(X2,powerset('cartesian$uproduct2'(X0,X1))) => relation(X2)))).
% 22.33/3.39 fof(d1_funct_2, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2$uas$usubset'(X2,X0,X1) => (((X1 = 'empty$uset' => X0 = 'empty$uset') => ('quasi$utotal'(X2,X0,X1) <=> X0 = 'relation$udom$uas$usubset'(X0,X1,X2))) & (X1 = 'empty$uset' => (X0 = 'empty$uset' | ('quasi$utotal'(X2,X0,X1) <=> X2 = 'empty$uset'))))))).
% 22.33/3.39 fof(dt_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2$uas$usubset'(X2,X0,X1) => element(X2,powerset('cartesian$uproduct2'(X0,X1)))))).
% 22.33/3.39 fof(redefinition_k4_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2'(X2,X0,X1) => 'relation$udom$uas$usubset'(X0,X1,X2) = 'relation$udom'(X2)))).
% 22.33/3.39 fof(redefinition_m2_relset_1, axiom, ! [X0] : ! [X1] : ! [X2] : (('relation$uof2$uas$usubset'(X2,X0,X1) <=> 'relation$uof2'(X2,X0,X1)))).
% 22.33/3.39 fof(t23_funct_1, axiom, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => ! [X2] : (((relation(X2) & function(X2)) => (in(X0,'relation$udom'(X1)) => apply('relation$ucomposition'(X1,X2),X0) = apply(X2,apply(X1,X0)))))))).
% 22.33/3.39 fof(t21_funct_2, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((function(X3) & ('quasi$utotal'(X3,X0,X1) & 'relation$uof2$uas$usubset'(X3,X0,X1))) => ! [X4] : (((relation(X4) & function(X4)) => (in(X2,X0) => (X1 = 'empty$uset' | apply('relation$ucomposition'(X3,X4),X2) = apply(X4,apply(X3,X2))))))))).
% 22.33/3.39 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : (((function(X3) & ('quasi$utotal'(X3,X0,X1) & 'relation$uof2$uas$usubset'(X3,X0,X1))) => ! [X4] : (((relation(X4) & function(X4)) => (in(X2,X0) => (X1 = 'empty$uset' | apply('relation$ucomposition'(X3,X4),X2) = apply(X4,apply(X3,X2)))))))), inference(negate_conjecture, [status(cth)], [t21_funct_2])).
% 22.33/3.39 cnf(c3, plain, ~element(X0,powerset('cartesian$uproduct2'(X1,X2))) | relation(X0), inference(clausification, [status(esa)], [cc1_relset_1])).
% 22.33/3.39 cnf(c7, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d1_funct_2])).
% 22.33/3.39 cnf(c8, plain, ~X0(X1,X2,X3) | X2 = 'empty$uset' | ~'quasi$utotal'(X3,X1,X2) | X1 = 'relation$udom$uas$usubset'(X1,X2,X3), inference(clausification, [status(esa)], [d1_funct_2])).
% 22.33/3.39 cnf(c16, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | element(X0,powerset('cartesian$uproduct2'(X1,X2))), inference(clausification, [status(esa)], [dt_m2_relset_1])).
% 22.33/3.39 cnf(c71, plain, ~'relation$uof2'(X0,X1,X2) | 'relation$udom$uas$usubset'(X1,X2,X0) = 'relation$udom'(X0), inference(clausification, [status(esa)], [redefinition_k4_relset_1])).
% 22.33/3.39 cnf(c72, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | 'relation$uof2'(X0,X1,X2), inference(clausification, [status(esa)], [redefinition_m2_relset_1])).
% 22.33/3.39 cnf(c76, plain, ~function(X0) | ~function(X1) | ~relation(X1) | ~relation(X0) | apply('relation$ucomposition'(X1,X0),X2) = apply(X0,apply(X1,X2)) | ~in(X2,'relation$udom'(X1)), inference(clausification, [status(esa)], [t23_funct_1])).
% 22.33/3.39 cnf(c85, plain, function(sK90), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.33/3.39 cnf(c86, plain, 'quasi$utotal'(sK90,sK87,sK88), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.33/3.39 cnf(c87, plain, 'relation$uof2$uas$usubset'(sK90,sK87,sK88), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.33/3.39 cnf(c88, plain, relation(sK91), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.33/3.39 cnf(c89, plain, function(sK91), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.33/3.39 cnf(c90, plain, in(sK89,sK87), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.33/3.39 cnf(c91, plain, sK88 != 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 22.33/3.39 cnf(c92, plain, apply('relation$ucomposition'(sK90,sK91),sK89) != apply(sK91,apply(sK90,sK89)), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.33/3.39 cnf(d0, plain, sK88 = 'empty$uset' | sK87 = 'relation$udom$uas$usubset'(sK87,sK88,sK90) | ~'Ts8'(sK87,sK88,sK90), inference(resolution, [status(thm)], [c8,c86])).
% 22.33/3.39 cnf(d1, plain, sK87 = 'relation$udom$uas$usubset'(sK87,sK88,sK90) | ~'Ts8'(sK87,sK88,sK90), inference(resolution, [status(thm)], [c91,d0])).
% 22.33/3.39 cnf(d2, plain, 'Ts8'(sK87,sK88,sK90), inference(resolution, [status(thm)], [c87,c7])).
% 22.33/3.39 cnf(d3, plain, sK87 = 'relation$udom$uas$usubset'(sK87,sK88,sK90), inference(resolution, [status(thm)], [d2,d1])).
% 22.33/3.39 cnf(d4, plain, 'relation$uof2'(sK90,sK87,sK88), inference(resolution, [status(thm)], [c72,c87])).
% 22.33/3.39 cnf(d5, plain, 'relation$udom$uas$usubset'(sK87,sK88,sK90) = 'relation$udom'(sK90), inference(resolution, [status(thm)], [d4,c71])).
% 22.33/3.39 cnf(d6, plain, sK87 = 'relation$udom'(sK90), inference(demodulation, [status(thm)], [d5,d3])).
% 22.33/3.39 cnf(d7, plain, ~in(X0,sK87) | apply('relation$ucomposition'(sK90,X1),X0) = apply(X1,apply(sK90,X0)) | ~function(X1) | ~function(sK90) | ~relation(X1) | ~relation(sK90), inference(superposition, [status(thm)], [d6,c76])).
% 22.33/3.39 cnf(d8, plain, apply('relation$ucomposition'(sK90,X0),X1) = apply(X0,apply(sK90,X1)) | ~in(X1,sK87) | ~function(X0) | ~relation(X0) | ~relation(sK90), inference(resolution, [status(thm)], [c85,d7])).
% 22.33/3.39 cnf(d9, plain, ~'relation$uof2$uas$usubset'(X0,X1,X2) | relation(X0), inference(resolution, [status(thm)], [c16,c3])).
% 22.33/3.39 cnf(d10, plain, relation(sK90), inference(resolution, [status(thm)], [d9,c87])).
% 22.33/3.39 cnf(d11, plain, apply('relation$ucomposition'(sK90,X0),X1) = apply(X0,apply(sK90,X1)) | ~in(X1,sK87) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [d10,d8])).
% 22.33/3.39 cnf(d12, plain, apply('relation$ucomposition'(sK90,X0),sK89) = apply(X0,apply(sK90,sK89)) | ~function(X0) | ~relation(X0), inference(resolution, [status(thm)], [d11,c90])).
% 22.33/3.39 cnf(d13, plain, apply('relation$ucomposition'(sK90,sK91),sK89) = apply(sK91,apply(sK90,sK89)) | ~function(sK91), inference(resolution, [status(thm)], [d12,c88])).
% 22.33/3.39 cnf(d14, plain, apply('relation$ucomposition'(sK90,sK91),sK89) = apply(sK91,apply(sK90,sK89)), inference(resolution, [status(thm)], [c89,d13])).
% 22.33/3.39 cnf(d15, plain, $false, inference(resolution, [status(thm)], [c92,d14])).
% 22.33/3.39 % SZS output end CNFRefutation for theBenchmark.p
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