%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU014+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 08:40:45 AM UTC 2026
% Result : Theorem 76.16s 27.18s
% Output : CNFRefutation 76.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU014+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.37 % Computer : n002.cluster.edu
% 0.11/10.37 % Model : x86_64 x86_64
% 0.11/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.37 % Memory : 8046.5625MB
% 0.11/10.37 % OS : Linux 6.8.0-71-generic
% 0.11/10.37 % CPULimit : 300
% 0.11/10.37 % WCLimit : 300
% 0.11/10.37 % DateTime : Sat Sep 26 08:34:02 UTC 2026
% 0.11/10.38 % CPUTime :
% 0.11/10.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.16/27.18 % SZS status Theorem for theBenchmark.p
% 76.16/27.18 % SZS output start CNFRefutation for theBenchmark.p
% 76.16/27.18 fof(d8_funct_1, axiom, ! [X0] : (((relation(X0) & function(X0)) => ('one$uto$uone'(X0) <=> ! [X1] : ! [X2] : (((in(X1,'relation$udom'(X0)) & (in(X2,'relation$udom'(X0)) & apply(X0,X1) = apply(X0,X2))) => X1 = X2)))))).
% 76.16/27.18 fof(dt_k5_relat_1, axiom, ! [X0] : ! [X1] : (((relation(X0) & relation(X1)) => relation('relation$ucomposition'(X0,X1))))).
% 76.16/27.18 fof(fc1_funct_1, axiom, ! [X0] : ! [X1] : (((relation(X0) & (function(X0) & (relation(X1) & function(X1)))) => (relation('relation$ucomposition'(X0,X1)) & function('relation$ucomposition'(X0,X1)))))).
% 76.16/27.18 fof(t23_funct_1, axiom, ! [X0] : ! [X1] : (((relation(X1) & function(X1)) => ! [X2] : (((relation(X2) & function(X2)) => (in(X0,'relation$udom'(X1)) => apply('relation$ucomposition'(X1,X2),X0) = apply(X2,apply(X1,X0)))))))).
% 76.16/27.18 fof(t46_relat_1, axiom, ! [X0] : ((relation(X0) => ! [X1] : ((relation(X1) => (subset('relation$urng'(X0),'relation$udom'(X1)) => 'relation$udom'('relation$ucomposition'(X0,X1)) = 'relation$udom'(X0))))))).
% 76.16/27.18 fof(t47_funct_1, conjecture, ! [X0] : (((relation(X0) & function(X0)) => ! [X1] : (((relation(X1) & function(X1)) => (('one$uto$uone'('relation$ucomposition'(X1,X0)) & subset('relation$urng'(X1),'relation$udom'(X0))) => 'one$uto$uone'(X1))))))).
% 76.16/27.18 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((relation(X0) & function(X0)) => ! [X1] : (((relation(X1) & function(X1)) => (('one$uto$uone'('relation$ucomposition'(X1,X0)) & subset('relation$urng'(X1),'relation$udom'(X0))) => 'one$uto$uone'(X1)))))), inference(negate_conjecture, [status(cth)], [t47_funct_1])).
% 76.16/27.18 cnf(c3, plain, ~relation(X0) | ~function(X0) | ~'one$uto$uone'(X0) | X1(X0), inference(clausification, [status(esa)], [d8_funct_1])).
% 76.16/27.18 cnf(c4, plain, ~relation(X0) | ~function(X0) | 'one$uto$uone'(X0) | ~X1(X0), inference(clausification, [status(esa)], [d8_funct_1])).
% 76.16/27.18 cnf(c5, plain, apply(X0,X1) != apply(X0,X2) | ~in(X1,'relation$udom'(X0)) | ~in(X2,'relation$udom'(X0)) | X1 = X2 | ~X3(X0), inference(clausification, [status(esa)], [d8_funct_1])).
% 76.16/27.18 cnf(c6, plain, X0(X1) | in(sK8(X1),'relation$udom'(X1)), inference(clausification, [status(esa)], [d8_funct_1])).
% 76.16/27.18 cnf(c7, plain, X0(X1) | in(sK9(X1),'relation$udom'(X1)), inference(clausification, [status(esa)], [d8_funct_1])).
% 76.16/27.18 cnf(c8, plain, X0(X1) | apply(X1,sK8(X1)) = apply(X1,sK9(X1)), inference(clausification, [status(esa)], [d8_funct_1])).
% 76.16/27.18 cnf(c9, plain, X0(X1) | sK8(X1) != sK9(X1), inference(clausification, [status(esa)], [d8_funct_1])).
% 76.16/27.18 cnf(c10, plain, ~relation(X0) | ~relation(X1) | relation('relation$ucomposition'(X0,X1)), inference(clausification, [status(esa)], [dt_k5_relat_1])).
% 76.16/27.18 cnf(c18, plain, ~relation(X0) | function('relation$ucomposition'(X0,X1)) | ~function(X0) | ~function(X1) | ~relation(X1), inference(clausification, [status(esa)], [fc1_funct_1])).
% 76.16/27.18 cnf(c47, plain, ~function(X0) | ~relation(X0) | ~relation(X1) | ~function(X1) | ~in(X2,'relation$udom'(X0)) | apply('relation$ucomposition'(X0,X1),X2) = apply(X1,apply(X0,X2)), inference(clausification, [status(esa)], [t23_funct_1])).
% 76.16/27.18 cnf(c51, plain, ~relation(X0) | ~relation(X1) | ~subset('relation$urng'(X0),'relation$udom'(X1)) | 'relation$udom'('relation$ucomposition'(X0,X1)) = 'relation$udom'(X0), inference(clausification, [status(esa)], [t46_relat_1])).
% 76.16/27.18 cnf(c57, plain, relation(sK59), inference(clausification, [status(esa)], [negated_conjecture])).
% 76.16/27.18 cnf(c58, plain, function(sK59), inference(clausification, [status(esa)], [negated_conjecture])).
% 76.16/27.18 cnf(c59, plain, relation(sK60), inference(clausification, [status(esa)], [negated_conjecture])).
% 76.16/27.18 cnf(c60, plain, function(sK60), inference(clausification, [status(esa)], [negated_conjecture])).
% 76.16/27.18 cnf(c61, plain, 'one$uto$uone'('relation$ucomposition'(sK60,sK59)), inference(clausification, [status(esa)], [negated_conjecture])).
% 76.16/27.18 cnf(c62, plain, subset('relation$urng'(sK60),'relation$udom'(sK59)), inference(clausification, [status(esa)], [negated_conjecture])).
% 76.16/27.18 cnf(c63, plain, ~'one$uto$uone'(sK60), inference(clausification, [status(esa)], [negated_conjecture])).
% 76.16/27.18 cnf(d0, plain, apply(X1,apply(X0,X2)) != apply('relation$ucomposition'(X0,X1),X3) | X2 = X3 | ~in(X3,'relation$udom'('relation$ucomposition'(X0,X1))) | ~in(X2,'relation$udom'('relation$ucomposition'(X0,X1))) | ~'Ts4'('relation$ucomposition'(X0,X1)) | ~in(X2,'relation$udom'(X0)) | ~function(X1) | ~function(X0) | ~relation(X1) | ~relation(X0), inference(superposition, [status(thm)], [c47,c5])).
% 76.16/27.18 cnf(d1, plain, apply(X1,apply(X0,sK8(X0))) != apply('relation$ucomposition'(X0,X1),X2) | sK9(X0) = X2 | ~in(X2,'relation$udom'('relation$ucomposition'(X0,X1))) | ~in(sK9(X0),'relation$udom'(X0)) | ~in(sK9(X0),'relation$udom'('relation$ucomposition'(X0,X1))) | ~function(X1) | ~function(X0) | ~relation(X1) | ~relation(X0) | ~'Ts4'('relation$ucomposition'(X0,X1)) | 'Ts4'(X0), inference(superposition, [status(thm)], [c8,d0])).
% 76.16/27.18 cnf(d2, plain, apply(X1,apply(X0,sK8(X0))) != apply(X1,apply(X0,X2)) | sK9(X0) = X2 | ~in(X2,'relation$udom'('relation$ucomposition'(X0,X1))) | ~in(sK9(X0),'relation$udom'(X0)) | ~in(sK9(X0),'relation$udom'('relation$ucomposition'(X0,X1))) | ~function(X1) | ~function(X0) | ~relation(X1) | ~relation(X0) | 'Ts4'(X0) | ~'Ts4'('relation$ucomposition'(X0,X1)) | ~in(X2,'relation$udom'(X0)) | ~function(X1) | ~function(X0) | ~relation(X1) | ~relation(X0), inference(superposition, [status(thm)], [c47,d1])).
% 76.16/27.18 cnf(d3, plain, sK9(X0) = sK8(X0) | ~in(sK8(X0),'relation$udom'(X0)) | ~in(sK8(X0),'relation$udom'('relation$ucomposition'(X0,X1))) | ~in(sK9(X0),'relation$udom'(X0)) | ~in(sK9(X0),'relation$udom'('relation$ucomposition'(X0,X1))) | ~function(X1) | ~function(X0) | ~relation(X1) | ~relation(X0) | 'Ts4'(X0) | ~'Ts4'('relation$ucomposition'(X0,X1)), inference(equality_resolution, [status(thm)], [d2])).
% 76.16/27.18 cnf(d4, plain, ~in(sK9(X0),'relation$udom'(X0)) | sK9(X0) = sK8(X0) | ~in(sK8(X0),'relation$udom'(X0)) | ~in(sK8(X0),'relation$udom'('relation$ucomposition'(X0,X1))) | ~in(sK9(X0),'relation$udom'(X0)) | ~function(X1) | ~function(X0) | ~relation(X1) | ~relation(X0) | 'Ts4'(X0) | ~'Ts4'('relation$ucomposition'(X0,X1)) | ~relation(X1) | ~relation(X0) | ~subset('relation$urng'(X0),'relation$udom'(X1)), inference(superposition, [status(thm)], [c51,d3])).
% 76.16/27.18 cnf(d5, plain, ~in(sK8(X0),'relation$udom'(X0)) | sK9(X0) = sK8(X0) | ~in(sK8(X0),'relation$udom'(X0)) | ~in(sK9(X0),'relation$udom'(X0)) | ~function(X1) | ~function(X0) | ~relation(X1) | ~relation(X0) | 'Ts4'(X0) | ~'Ts4'('relation$ucomposition'(X0,X1)) | ~subset('relation$urng'(X0),'relation$udom'(X1)) | ~relation(X1) | ~relation(X0) | ~subset('relation$urng'(X0),'relation$udom'(X1)), inference(superposition, [status(thm)], [c51,d4])).
% 76.16/27.18 cnf(d6, plain, sK9(sK60) = sK8(sK60) | ~in(sK8(sK60),'relation$udom'(sK60)) | ~in(sK9(sK60),'relation$udom'(sK60)) | ~function(sK59) | ~function(sK60) | ~relation(sK59) | ~relation(sK60) | 'Ts4'(sK60) | ~'Ts4'('relation$ucomposition'(sK60,sK59)), inference(resolution, [status(thm)], [d5,c62])).
% 76.16/27.18 cnf(d7, plain, sK9(sK60) = sK8(sK60) | ~in(sK8(sK60),'relation$udom'(sK60)) | ~in(sK9(sK60),'relation$udom'(sK60)) | ~function(sK59) | ~function(sK60) | ~relation(sK60) | ~'Ts4'('relation$ucomposition'(sK60,sK59)) | 'Ts4'(sK60), inference(resolution, [status(thm)], [c57,d6])).
% 76.16/27.18 cnf(d8, plain, sK9(sK60) = sK8(sK60) | ~in(sK8(sK60),'relation$udom'(sK60)) | ~in(sK9(sK60),'relation$udom'(sK60)) | ~function(sK60) | ~relation(sK60) | ~'Ts4'('relation$ucomposition'(sK60,sK59)) | 'Ts4'(sK60), inference(resolution, [status(thm)], [c58,d7])).
% 76.16/27.18 cnf(d9, plain, sK9(sK60) = sK8(sK60) | ~in(sK8(sK60),'relation$udom'(sK60)) | ~in(sK9(sK60),'relation$udom'(sK60)) | ~function(sK60) | ~'Ts4'('relation$ucomposition'(sK60,sK59)) | 'Ts4'(sK60), inference(resolution, [status(thm)], [c59,d8])).
% 76.16/27.18 cnf(d10, plain, sK9(sK60) = sK8(sK60) | ~in(sK8(sK60),'relation$udom'(sK60)) | ~in(sK9(sK60),'relation$udom'(sK60)) | ~'Ts4'('relation$ucomposition'(sK60,sK59)) | 'Ts4'(sK60), inference(resolution, [status(thm)], [c60,d9])).
% 76.16/27.18 cnf(d11, plain, ~function('relation$ucomposition'(sK60,sK59)) | ~relation('relation$ucomposition'(sK60,sK59)) | 'Ts4'('relation$ucomposition'(sK60,sK59)), inference(resolution, [status(thm)], [c3,c61])).
% 76.16/27.18 cnf(d12, plain, ~relation(sK59) | ~relation(sK60) | ~function('relation$ucomposition'(sK60,sK59)) | 'Ts4'('relation$ucomposition'(sK60,sK59)), inference(resolution, [status(thm)], [c10,d11])).
% 76.16/27.18 cnf(d13, plain, ~function('relation$ucomposition'(sK60,sK59)) | ~relation(sK60) | 'Ts4'('relation$ucomposition'(sK60,sK59)), inference(resolution, [status(thm)], [c57,d12])).
% 76.16/27.18 cnf(d14, plain, ~function('relation$ucomposition'(sK60,sK59)) | 'Ts4'('relation$ucomposition'(sK60,sK59)), inference(resolution, [status(thm)], [c59,d13])).
% 76.16/27.18 cnf(d15, plain, ~function(sK60) | ~function(sK59) | ~relation(sK60) | ~relation(sK59) | 'Ts4'('relation$ucomposition'(sK60,sK59)), inference(resolution, [status(thm)], [c18,d14])).
% 76.16/27.18 cnf(d16, plain, ~function(sK59) | ~function(sK60) | ~relation(sK60) | 'Ts4'('relation$ucomposition'(sK60,sK59)), inference(resolution, [status(thm)], [c57,d15])).
% 76.16/27.18 cnf(d17, plain, ~function(sK60) | ~relation(sK60) | 'Ts4'('relation$ucomposition'(sK60,sK59)), inference(resolution, [status(thm)], [c58,d16])).
% 76.16/27.18 cnf(d18, plain, ~function(sK60) | 'Ts4'('relation$ucomposition'(sK60,sK59)), inference(resolution, [status(thm)], [c59,d17])).
% 76.16/27.18 cnf(d19, plain, 'Ts4'('relation$ucomposition'(sK60,sK59)), inference(resolution, [status(thm)], [c60,d18])).
% 76.16/27.18 cnf(d20, plain, sK9(sK60) = sK8(sK60) | ~in(sK8(sK60),'relation$udom'(sK60)) | ~in(sK9(sK60),'relation$udom'(sK60)) | 'Ts4'(sK60), inference(resolution, [status(thm)], [d19,d10])).
% 76.16/27.18 cnf(d21, plain, sK9(sK60) = sK8(sK60) | ~in(sK8(sK60),'relation$udom'(sK60)) | 'Ts4'(sK60) | 'Ts4'(sK60), inference(resolution, [status(thm)], [d20,c7])).
% 76.16/27.18 cnf(d22, plain, sK9(sK60) = sK8(sK60) | 'Ts4'(sK60) | 'Ts4'(sK60), inference(resolution, [status(thm)], [d21,c6])).
% 76.16/27.18 cnf(d23, plain, sK8(sK60) != sK8(sK60) | 'Ts4'(sK60) | 'Ts4'(sK60), inference(superposition, [status(thm)], [d22,c9])).
% 76.16/27.18 cnf(d24, plain, 'Ts4'(sK60), inference(equality_resolution, [status(thm)], [d23])).
% 76.16/27.18 cnf(d25, plain, ~function(sK60) | ~relation(sK60) | 'one$uto$uone'(sK60), inference(resolution, [status(thm)], [d24,c4])).
% 76.16/27.18 cnf(d26, plain, ~function(sK60) | 'one$uto$uone'(sK60), inference(resolution, [status(thm)], [c59,d25])).
% 76.16/27.18 cnf(d27, plain, 'one$uto$uone'(sK60), inference(resolution, [status(thm)], [c60,d26])).
% 76.16/27.18 cnf(d28, plain, $false, inference(resolution, [status(thm)], [c63,d27])).
% 76.16/27.18 % SZS output end CNFRefutation for theBenchmark.p
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