%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU269+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 : n026.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 38.76s 8.93s
% Output : CNFRefutation 38.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU269+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 09:05:26 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.76/8.93 % SZS status Theorem for theBenchmark.p
% 38.76/8.93 % SZS output start CNFRefutation for theBenchmark.p
% 38.76/8.93 fof(d16_relat_2, axiom, ! [X0] : ((relation(X0) => (transitive(X0) <=> 'is$utransitive$uin'(X0,'relation$ufield'(X0)))))).
% 38.76/8.93 fof(d1_wellord2, axiom, ! [X0] : ! [X1] : ((relation(X1) => (X1 = 'inclusion$urelation'(X0) <=> ('relation$ufield'(X1) = X0 & ! [X2] : ! [X3] : (((in(X2,X0) & in(X3,X0)) => (in('ordered$upair'(X2,X3),X1) <=> subset(X2,X3))))))))).
% 38.76/8.93 fof(d8_relat_2, axiom, ! [X0] : ((relation(X0) => ! [X1] : (('is$utransitive$uin'(X0,X1) <=> ! [X2] : ! [X3] : ! [X4] : (((in(X2,X1) & (in(X3,X1) & (in(X4,X1) & (in('ordered$upair'(X2,X3),X0) & in('ordered$upair'(X3,X4),X0))))) => in('ordered$upair'(X2,X4),X0)))))))).
% 38.76/8.93 fof(dt_k1_wellord2, axiom, ! [X0] : relation('inclusion$urelation'(X0))).
% 38.76/8.93 fof(t1_xboole_1, axiom, ! [X0] : ! [X1] : ! [X2] : (((subset(X0,X1) & subset(X1,X2)) => subset(X0,X2)))).
% 38.76/8.93 fof(t3_wellord2, conjecture, ! [X0] : transitive('inclusion$urelation'(X0))).
% 38.76/8.93 fof(negated_conjecture, negated_conjecture, ~! [X0] : transitive('inclusion$urelation'(X0)), inference(negate_conjecture, [status(cth)], [t3_wellord2])).
% 38.76/8.93 cnf(c14, plain, ~relation(X0) | transitive(X0) | ~'is$utransitive$uin'(X0,'relation$ufield'(X0)), inference(clausification, [status(esa)], [d16_relat_2])).
% 38.76/8.93 cnf(c15, plain, ~relation(X0) | 'inclusion$urelation'(X1) != X0 | 'relation$ufield'(X0) = X1, inference(clausification, [status(esa)], [d1_wellord2])).
% 38.76/8.93 cnf(c16, plain, ~in(X0,X1) | ~in('ordered$upair'(X2,X0),X3) | ~relation(X3) | subset(X2,X0) | 'inclusion$urelation'(X1) != X3 | ~in(X2,X1), inference(clausification, [status(esa)], [d1_wellord2])).
% 38.76/8.93 cnf(c17, plain, ~in(X0,X1) | in('ordered$upair'(X2,X0),X3) | ~subset(X2,X0) | ~relation(X3) | 'inclusion$urelation'(X1) != X3 | ~in(X2,X1), inference(clausification, [status(esa)], [d1_wellord2])).
% 38.76/8.93 cnf(c28, plain, ~relation(X0) | 'is$utransitive$uin'(X0,X1) | X2(X0,X1), inference(clausification, [status(esa)], [d8_relat_2])).
% 38.76/8.93 cnf(c29, plain, ~X0(X1,X2) | in(sK29(X1,X2),X2), inference(clausification, [status(esa)], [d8_relat_2])).
% 38.76/8.93 cnf(c30, plain, ~X0(X1,X2) | in('ordered$upair'(sK28(X1,X2),sK29(X1,X2)),X1), inference(clausification, [status(esa)], [d8_relat_2])).
% 38.76/8.93 cnf(c31, plain, ~X0(X1,X2) | in('ordered$upair'(sK29(X1,X2),sK30(X1,X2)),X1), inference(clausification, [status(esa)], [d8_relat_2])).
% 38.76/8.93 cnf(c32, plain, ~X0(X1,X2) | in(sK30(X1,X2),X2), inference(clausification, [status(esa)], [d8_relat_2])).
% 38.76/8.93 cnf(c33, plain, ~X0(X1,X2) | in(sK28(X1,X2),X2), inference(clausification, [status(esa)], [d8_relat_2])).
% 38.76/8.93 cnf(c34, plain, ~X0(X1,X2) | ~in('ordered$upair'(sK28(X1,X2),sK30(X1,X2)),X1), inference(clausification, [status(esa)], [d8_relat_2])).
% 38.76/8.93 cnf(c35, plain, relation('inclusion$urelation'(X0)), inference(clausification, [status(esa)], [dt_k1_wellord2])).
% 38.76/8.93 cnf(c80, plain, ~subset(X0,X1) | ~subset(X2,X0) | subset(X2,X1), inference(clausification, [status(esa)], [t1_xboole_1])).
% 38.76/8.93 cnf(c89, plain, ~transitive('inclusion$urelation'(sK74)), inference(clausification, [status(esa)], [negated_conjecture])).
% 38.76/8.93 cnf(d0, plain, 'relation$ufield'('inclusion$urelation'(X0)) = X0 | ~relation('inclusion$urelation'(X0)), inference(equality_resolution, [status(thm)], [c15])).
% 38.76/8.93 cnf(d1, plain, 'relation$ufield'('inclusion$urelation'(X0)) = X0, inference(resolution, [status(thm)], [c35,d0])).
% 38.76/8.93 cnf(d2, plain, transitive('inclusion$urelation'(X0)) | ~'is$utransitive$uin'('inclusion$urelation'(X0),'relation$ufield'('inclusion$urelation'(X0))), inference(resolution, [status(thm)], [c35,c14])).
% 38.76/8.93 cnf(d3, plain, transitive('inclusion$urelation'(X0)) | ~'is$utransitive$uin'('inclusion$urelation'(X0),X0), inference(demodulation, [status(thm)], [d2,d1])).
% 38.76/8.93 cnf(d4, plain, 'is$utransitive$uin'('inclusion$urelation'(X0),X1) | 'Ts22'('inclusion$urelation'(X0),X1), inference(resolution, [status(thm)], [c35,c28])).
% 38.76/8.93 cnf(d5, plain, 'Ts22'('inclusion$urelation'(X0),X0) | transitive('inclusion$urelation'(X0)), inference(resolution, [status(thm)], [d4,d3])).
% 38.76/8.93 cnf(d6, plain, 'Ts22'('inclusion$urelation'(sK74),sK74), inference(resolution, [status(thm)], [d5,c89])).
% 38.76/8.93 cnf(d7, plain, in(sK30('inclusion$urelation'(sK74),sK74),sK74), inference(resolution, [status(thm)], [d6,c32])).
% 38.76/8.93 cnf(d8, plain, ~in(X0,X1) | ~in(X2,X1) | in('ordered$upair'(X0,X2),'inclusion$urelation'(X1)) | ~relation('inclusion$urelation'(X1)) | ~subset(X0,X2), inference(equality_resolution, [status(thm)], [c17])).
% 38.76/8.93 cnf(d9, plain, ~in(X0,X1) | ~in(X2,X1) | in('ordered$upair'(X2,X0),'inclusion$urelation'(X1)) | ~subset(X2,X0), inference(resolution, [status(thm)], [c35,d8])).
% 38.76/8.93 cnf(d10, plain, in(sK28('inclusion$urelation'(sK74),sK74),sK74), inference(resolution, [status(thm)], [d6,c33])).
% 38.76/8.93 cnf(d11, plain, ~in(X0,sK74) | in('ordered$upair'(sK28('inclusion$urelation'(sK74),sK74),X0),'inclusion$urelation'(sK74)) | ~subset(sK28('inclusion$urelation'(sK74),sK74),X0), inference(resolution, [status(thm)], [d10,d9])).
% 38.76/8.93 cnf(d12, plain, in('ordered$upair'(sK28('inclusion$urelation'(sK74),sK74),sK30('inclusion$urelation'(sK74),sK74)),'inclusion$urelation'(sK74)) | ~subset(sK28('inclusion$urelation'(sK74),sK74),sK30('inclusion$urelation'(sK74),sK74)), inference(resolution, [status(thm)], [d11,d7])).
% 38.76/8.93 cnf(d13, plain, in(sK29('inclusion$urelation'(sK74),sK74),sK74), inference(resolution, [status(thm)], [d6,c29])).
% 38.76/8.93 cnf(d14, plain, ~in(X0,X1) | ~in(X2,X1) | ~in('ordered$upair'(X2,X0),'inclusion$urelation'(X1)) | ~relation('inclusion$urelation'(X1)) | subset(X2,X0), inference(equality_resolution, [status(thm)], [c16])).
% 38.76/8.93 cnf(d15, plain, ~in(X0,X1) | ~in(X2,X1) | ~in('ordered$upair'(X0,X2),'inclusion$urelation'(X1)) | subset(X0,X2), inference(resolution, [status(thm)], [c35,d14])).
% 38.76/8.93 cnf(d16, plain, ~in(X0,sK74) | ~in('ordered$upair'(X0,sK30('inclusion$urelation'(sK74),sK74)),'inclusion$urelation'(sK74)) | subset(X0,sK30('inclusion$urelation'(sK74),sK74)), inference(resolution, [status(thm)], [d7,d15])).
% 38.76/8.93 cnf(d17, plain, ~in('ordered$upair'(sK29('inclusion$urelation'(sK74),sK74),sK30('inclusion$urelation'(sK74),sK74)),'inclusion$urelation'(sK74)) | subset(sK29('inclusion$urelation'(sK74),sK74),sK30('inclusion$urelation'(sK74),sK74)), inference(resolution, [status(thm)], [d16,d13])).
% 38.76/8.93 cnf(d18, plain, in('ordered$upair'(sK29('inclusion$urelation'(sK74),sK74),sK30('inclusion$urelation'(sK74),sK74)),'inclusion$urelation'(sK74)), inference(resolution, [status(thm)], [d6,c31])).
% 38.76/8.93 cnf(d19, plain, subset(sK29('inclusion$urelation'(sK74),sK74),sK30('inclusion$urelation'(sK74),sK74)), inference(resolution, [status(thm)], [d18,d17])).
% 38.76/8.93 cnf(d20, plain, ~in(X0,sK74) | ~in('ordered$upair'(X0,sK29('inclusion$urelation'(sK74),sK74)),'inclusion$urelation'(sK74)) | subset(X0,sK29('inclusion$urelation'(sK74),sK74)), inference(resolution, [status(thm)], [d13,d15])).
% 38.76/8.93 cnf(d21, plain, ~in('ordered$upair'(sK28('inclusion$urelation'(sK74),sK74),sK29('inclusion$urelation'(sK74),sK74)),'inclusion$urelation'(sK74)) | subset(sK28('inclusion$urelation'(sK74),sK74),sK29('inclusion$urelation'(sK74),sK74)), inference(resolution, [status(thm)], [d20,d10])).
% 38.76/8.93 cnf(d22, plain, in('ordered$upair'(sK28('inclusion$urelation'(sK74),sK74),sK29('inclusion$urelation'(sK74),sK74)),'inclusion$urelation'(sK74)), inference(resolution, [status(thm)], [d6,c30])).
% 38.76/8.93 cnf(d23, plain, subset(sK28('inclusion$urelation'(sK74),sK74),sK29('inclusion$urelation'(sK74),sK74)), inference(resolution, [status(thm)], [d22,d21])).
% 38.76/8.93 cnf(d24, plain, subset(sK28('inclusion$urelation'(sK74),sK74),X0) | ~subset(sK29('inclusion$urelation'(sK74),sK74),X0), inference(resolution, [status(thm)], [d23,c80])).
% 38.76/8.93 cnf(d25, plain, subset(sK28('inclusion$urelation'(sK74),sK74),sK30('inclusion$urelation'(sK74),sK74)), inference(resolution, [status(thm)], [d24,d19])).
% 38.76/8.93 cnf(d26, plain, in('ordered$upair'(sK28('inclusion$urelation'(sK74),sK74),sK30('inclusion$urelation'(sK74),sK74)),'inclusion$urelation'(sK74)), inference(resolution, [status(thm)], [d25,d12])).
% 38.76/8.93 cnf(d27, plain, ~'Ts22'('inclusion$urelation'(sK74),sK74), inference(resolution, [status(thm)], [d26,c34])).
% 38.76/8.93 cnf(d28, plain, $false, inference(resolution, [status(thm)], [d6,d27])).
% 38.76/8.93 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------