%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU268+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 : n020.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 7.84s 9.78s
% Output : CNFRefutation 7.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU268+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.46 % Computer : n020.cluster.edu
% 0.19/5.46 % Model : x86_64 x86_64
% 0.19/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.46 % Memory : 8046.5625MB
% 0.19/5.46 % OS : Linux 6.8.0-71-generic
% 0.19/5.47 % CPULimit : 300
% 0.19/5.47 % WCLimit : 300
% 0.19/5.47 % DateTime : Sat Sep 26 09:03:09 UTC 2026
% 0.19/5.47 % CPUTime :
% 0.19/5.47 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.84/9.78 % SZS status Theorem for theBenchmark.p
% 7.84/9.78 % SZS output start CNFRefutation for theBenchmark.p
% 7.84/9.78 fof(d1_relat_2, axiom, ! [X0] : ((relation(X0) => ! [X1] : (('is$ureflexive$uin'(X0,X1) <=> ! [X2] : ((in(X2,X1) => in('ordered$upair'(X2,X2),X0)))))))).
% 7.84/9.78 fof(d1_wellord2, axiom, ! [X0] : ! [X1] : ((relation(X1) => (X1 = 'inclusion$urelation'(X0) <=> ('relation$ufield'(X1) = X0 & ! [X2] : ! [X3] : (((in(X2,X0) & in(X3,X0)) => (in('ordered$upair'(X2,X3),X1) <=> subset(X2,X3))))))))).
% 7.84/9.78 fof(d9_relat_2, axiom, ! [X0] : ((relation(X0) => (reflexive(X0) <=> 'is$ureflexive$uin'(X0,'relation$ufield'(X0)))))).
% 7.84/9.78 fof(dt_k1_wellord2, axiom, ! [X0] : relation('inclusion$urelation'(X0))).
% 7.84/9.78 fof(reflexivity_r1_tarski, axiom, ! [X0] : ! [X1] : subset(X0,X0)).
% 7.84/9.78 fof(t2_wellord2, conjecture, ! [X0] : reflexive('inclusion$urelation'(X0))).
% 7.84/9.78 fof(negated_conjecture, negated_conjecture, ~! [X0] : reflexive('inclusion$urelation'(X0)), inference(negate_conjecture, [status(cth)], [t2_wellord2])).
% 7.84/9.78 cnf(c14, plain, ~relation(X0) | 'is$ureflexive$uin'(X0,X1) | in(sK14(X0,X1),X1), inference(clausification, [status(esa)], [d1_relat_2])).
% 7.84/9.78 cnf(c15, plain, ~relation(X0) | 'is$ureflexive$uin'(X0,X1) | ~in('ordered$upair'(sK14(X0,X1),sK14(X0,X1)),X0), inference(clausification, [status(esa)], [d1_relat_2])).
% 7.84/9.78 cnf(c16, plain, ~relation(X0) | X0 != 'inclusion$urelation'(X1) | X2(X1,X0), inference(clausification, [status(esa)], [d1_wellord2])).
% 7.84/9.78 cnf(c18, plain, ~X0(X1,X2) | 'relation$ufield'(X2) = X1, inference(clausification, [status(esa)], [d1_wellord2])).
% 7.84/9.78 cnf(c20, plain, ~X0(X1,X2) | ~in(X3,X1) | in('ordered$upair'(X4,X3),X2) | ~subset(X4,X3) | ~in(X4,X1), inference(clausification, [status(esa)], [d1_wellord2])).
% 7.84/9.78 cnf(c30, plain, ~relation(X0) | reflexive(X0) | ~'is$ureflexive$uin'(X0,'relation$ufield'(X0)), inference(clausification, [status(esa)], [d9_relat_2])).
% 7.84/9.78 cnf(c31, plain, relation('inclusion$urelation'(X0)), inference(clausification, [status(esa)], [dt_k1_wellord2])).
% 7.84/9.78 cnf(c73, plain, subset(X0,X0), inference(clausification, [status(esa)], [reflexivity_r1_tarski])).
% 7.84/9.78 cnf(c84, plain, ~reflexive('inclusion$urelation'(sK66)), inference(clausification, [status(esa)], [negated_conjecture])).
% 7.84/9.78 cnf(d0, plain, ~relation('inclusion$urelation'(X0)) | 'Ts15'(X0,'inclusion$urelation'(X0)), inference(equality_resolution, [status(thm)], [c16])).
% 7.84/9.78 cnf(d1, plain, 'Ts15'(X0,'inclusion$urelation'(X0)), inference(resolution, [status(thm)], [c31,d0])).
% 7.84/9.78 cnf(d2, plain, 'relation$ufield'('inclusion$urelation'(X0)) = X0, inference(resolution, [status(thm)], [d1,c18])).
% 7.84/9.78 cnf(d3, plain, ~'is$ureflexive$uin'('inclusion$urelation'(X0),X0) | ~relation('inclusion$urelation'(X0)) | reflexive('inclusion$urelation'(X0)), inference(superposition, [status(thm)], [d2,c30])).
% 7.84/9.78 cnf(d4, plain, ~'is$ureflexive$uin'('inclusion$urelation'(X0),X0) | reflexive('inclusion$urelation'(X0)), inference(resolution, [status(thm)], [c31,d3])).
% 7.84/9.78 cnf(d5, plain, ~in(X0,X1) | ~in(X0,X1) | in('ordered$upair'(X0,X0),X2) | ~'Ts15'(X1,X2), inference(resolution, [status(thm)], [c73,c20])).
% 7.84/9.78 cnf(d6, plain, ~in(X0,X1) | in('ordered$upair'(X0,X0),'inclusion$urelation'(X1)), inference(resolution, [status(thm)], [d5,d1])).
% 7.84/9.78 cnf(d7, plain, ~in(sK14('inclusion$urelation'(X0),X1),X0) | ~relation('inclusion$urelation'(X0)) | 'is$ureflexive$uin'('inclusion$urelation'(X0),X1), inference(resolution, [status(thm)], [d6,c15])).
% 7.84/9.78 cnf(d8, plain, ~in(sK14('inclusion$urelation'(X0),X1),X0) | 'is$ureflexive$uin'('inclusion$urelation'(X0),X1), inference(resolution, [status(thm)], [c31,d7])).
% 7.84/9.78 cnf(d9, plain, 'is$ureflexive$uin'('inclusion$urelation'(X0),X0) | ~relation('inclusion$urelation'(X0)) | 'is$ureflexive$uin'('inclusion$urelation'(X0),X0), inference(resolution, [status(thm)], [d8,c14])).
% 7.84/9.78 cnf(d10, plain, 'is$ureflexive$uin'('inclusion$urelation'(X0),X0), inference(resolution, [status(thm)], [c31,d9])).
% 7.84/9.78 cnf(d11, plain, reflexive('inclusion$urelation'(X0)), inference(resolution, [status(thm)], [d10,d4])).
% 7.84/9.78 cnf(d12, plain, $false, inference(resolution, [status(thm)], [d11,c84])).
% 7.84/9.78 % SZS output end CNFRefutation for theBenchmark.p
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