%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU271+1 : 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 : n016.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 08:41:30 AM UTC 2026
% Result : Theorem 22.44s 6.99s
% Output : CNFRefutation 22.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU271+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40 % Computer : n016.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 09:07:00 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.44/6.99 % SZS status Theorem for theBenchmark.p
% 22.44/6.99 % SZS output start CNFRefutation for theBenchmark.p
% 22.44/6.99 fof(d10_xboole_0, axiom, ! [X0] : ! [X1] : ((X0 = X1 <=> (subset(X0,X1) & subset(X1,X0))))).
% 22.44/6.99 fof(d12_relat_2, axiom, ! [X0] : ((relation(X0) => (antisymmetric(X0) <=> 'is$uantisymmetric$uin'(X0,'relation$ufield'(X0)))))).
% 22.44/6.99 fof(d1_wellord2, axiom, ! [X0] : ! [X1] : ((relation(X1) => (X1 = 'inclusion$urelation'(X0) <=> ('relation$ufield'(X1) = X0 & ! [X2] : ! [X3] : (((in(X2,X0) & in(X3,X0)) => (in('ordered$upair'(X2,X3),X1) <=> subset(X2,X3))))))))).
% 22.44/6.99 fof(d4_relat_2, axiom, ! [X0] : ((relation(X0) => ! [X1] : (('is$uantisymmetric$uin'(X0,X1) <=> ! [X2] : ! [X3] : (((in(X2,X1) & (in(X3,X1) & (in('ordered$upair'(X2,X3),X0) & in('ordered$upair'(X3,X2),X0)))) => X2 = X3))))))).
% 22.44/6.99 fof(dt_k1_wellord2, axiom, ! [X0] : relation('inclusion$urelation'(X0))).
% 22.44/6.99 fof(t5_wellord2, conjecture, ! [X0] : antisymmetric('inclusion$urelation'(X0))).
% 22.44/6.99 fof(negated_conjecture, negated_conjecture, ~! [X0] : antisymmetric('inclusion$urelation'(X0)), inference(negate_conjecture, [status(cth)], [t5_wellord2])).
% 22.44/6.99 cnf(c15, plain, X0 = X1 | ~subset(X0,X1) | ~subset(X1,X0), inference(clausification, [status(esa)], [d10_xboole_0])).
% 22.44/6.99 cnf(c17, plain, ~relation(X0) | antisymmetric(X0) | ~'is$uantisymmetric$uin'(X0,'relation$ufield'(X0)), inference(clausification, [status(esa)], [d12_relat_2])).
% 22.44/6.99 cnf(c18, plain, ~relation(X0) | X0 != 'inclusion$urelation'(X1) | X2(X1,X0), inference(clausification, [status(esa)], [d1_wellord2])).
% 22.44/6.99 cnf(c20, plain, ~X0(X1,X2) | 'relation$ufield'(X2) = X1, inference(clausification, [status(esa)], [d1_wellord2])).
% 22.44/6.99 cnf(c21, plain, subset(X0,X1) | ~in('ordered$upair'(X0,X1),X2) | ~in(X0,X3) | ~X4(X3,X2) | ~in(X1,X3), inference(clausification, [status(esa)], [d1_wellord2])).
% 22.44/6.99 cnf(c30, plain, ~relation(X0) | 'is$uantisymmetric$uin'(X0,X1) | ~X2(X0,X1), inference(clausification, [status(esa)], [d4_relat_2])).
% 22.44/6.99 cnf(c32, plain, X0(X1,X2) | in(sK26(X1,X2),X2), inference(clausification, [status(esa)], [d4_relat_2])).
% 22.44/6.99 cnf(c33, plain, X0(X1,X2) | in(sK27(X1,X2),X2), inference(clausification, [status(esa)], [d4_relat_2])).
% 22.44/6.99 cnf(c34, plain, X0(X1,X2) | in('ordered$upair'(sK26(X1,X2),sK27(X1,X2)),X1), inference(clausification, [status(esa)], [d4_relat_2])).
% 22.44/6.99 cnf(c35, plain, X0(X1,X2) | in('ordered$upair'(sK27(X1,X2),sK26(X1,X2)),X1), inference(clausification, [status(esa)], [d4_relat_2])).
% 22.44/6.99 cnf(c36, plain, X0(X1,X2) | sK26(X1,X2) != sK27(X1,X2), inference(clausification, [status(esa)], [d4_relat_2])).
% 22.44/6.99 cnf(c39, plain, relation('inclusion$urelation'(X0)), inference(clausification, [status(esa)], [dt_k1_wellord2])).
% 22.44/6.99 cnf(c92, plain, ~antisymmetric('inclusion$urelation'(sK71)), inference(clausification, [status(esa)], [negated_conjecture])).
% 22.44/6.99 cnf(d0, plain, ~relation('inclusion$urelation'(X0)) | 'Ts14'(X0,'inclusion$urelation'(X0)), inference(equality_resolution, [status(thm)], [c18])).
% 22.44/6.99 cnf(d1, plain, 'Ts14'(X0,'inclusion$urelation'(X0)), inference(resolution, [status(thm)], [c39,d0])).
% 22.44/6.99 cnf(d2, plain, 'relation$ufield'('inclusion$urelation'(X0)) = X0, inference(resolution, [status(thm)], [d1,c20])).
% 22.44/7.00 cnf(d3, plain, ~'is$uantisymmetric$uin'('inclusion$urelation'(X0),X0) | ~relation('inclusion$urelation'(X0)) | antisymmetric('inclusion$urelation'(X0)), inference(superposition, [status(thm)], [d2,c17])).
% 22.44/7.00 cnf(d4, plain, antisymmetric('inclusion$urelation'(X0)) | ~'is$uantisymmetric$uin'('inclusion$urelation'(X0),X0), inference(resolution, [status(thm)], [c39,d3])).
% 22.44/7.00 cnf(d5, plain, 'Ts21'(X0,X1) | ~in(sK27(X0,X1),X2) | ~in(sK26(X0,X1),X2) | subset(sK26(X0,X1),sK27(X0,X1)) | ~'Ts14'(X2,X0), inference(resolution, [status(thm)], [c34,c21])).
% 22.44/7.00 cnf(d6, plain, ~in(sK26(X0,X1),X1) | subset(sK26(X0,X1),sK27(X0,X1)) | ~'Ts14'(X1,X0) | 'Ts21'(X0,X1) | 'Ts21'(X0,X1), inference(resolution, [status(thm)], [d5,c33])).
% 22.44/7.00 cnf(d7, plain, 'Ts21'(X0,X1) | subset(sK26(X0,X1),sK27(X0,X1)) | ~'Ts14'(X1,X0) | 'Ts21'(X0,X1), inference(resolution, [status(thm)], [c32,d6])).
% 22.44/7.00 cnf(d8, plain, ~'Ts14'(X0,X1) | 'Ts21'(X1,X0) | sK26(X1,X0) = sK27(X1,X0) | ~subset(sK27(X1,X0),sK26(X1,X0)), inference(resolution, [status(thm)], [d7,c15])).
% 22.44/7.00 cnf(d9, plain, 'Ts21'(X0,X1) | ~subset(sK27(X0,X1),sK26(X0,X1)) | ~'Ts14'(X1,X0) | 'Ts21'(X0,X1), inference(resolution, [status(thm)], [c36,d8])).
% 22.44/7.00 cnf(d10, plain, 'Ts21'(X0,X1) | ~in(sK26(X0,X1),X2) | ~in(sK27(X0,X1),X2) | subset(sK27(X0,X1),sK26(X0,X1)) | ~'Ts14'(X2,X0), inference(resolution, [status(thm)], [c35,c21])).
% 22.44/7.00 cnf(d11, plain, ~in(sK26(X0,X1),X1) | subset(sK27(X0,X1),sK26(X0,X1)) | ~'Ts14'(X1,X0) | 'Ts21'(X0,X1) | 'Ts21'(X0,X1), inference(resolution, [status(thm)], [d10,c33])).
% 22.44/7.00 cnf(d12, plain, 'Ts21'(X0,X1) | subset(sK27(X0,X1),sK26(X0,X1)) | ~'Ts14'(X1,X0) | 'Ts21'(X0,X1), inference(resolution, [status(thm)], [c32,d11])).
% 22.44/7.00 cnf(d13, plain, ~'Ts14'(X0,X1) | 'Ts21'(X1,X0) | ~'Ts14'(X0,X1) | 'Ts21'(X1,X0), inference(resolution, [status(thm)], [d12,d9])).
% 22.44/7.00 cnf(d14, plain, 'Ts21'('inclusion$urelation'(X0),X0), inference(resolution, [status(thm)], [d13,d1])).
% 22.44/7.00 cnf(d15, plain, ~relation('inclusion$urelation'(X0)) | 'is$uantisymmetric$uin'('inclusion$urelation'(X0),X0), inference(resolution, [status(thm)], [d14,c30])).
% 22.44/7.00 cnf(d16, plain, 'is$uantisymmetric$uin'('inclusion$urelation'(X0),X0), inference(resolution, [status(thm)], [c39,d15])).
% 22.44/7.00 cnf(d17, plain, antisymmetric('inclusion$urelation'(X0)), inference(resolution, [status(thm)], [d16,d4])).
% 22.44/7.00 cnf(d18, plain, $false, inference(resolution, [status(thm)], [d17,c92])).
% 22.44/7.00 % SZS output end CNFRefutation for theBenchmark.p
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