%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU180+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 : n017.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 08:41:11 AM UTC 2026
% Result : Theorem 12.46s 1.97s
% Output : CNFRefutation 12.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU180+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
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 08:40:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.46/1.97 % SZS status Theorem for theBenchmark.p
% 12.46/1.97 % SZS output start CNFRefutation for theBenchmark.p
% 12.46/1.97 fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uunion2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) | in(X3,X1))))))).
% 12.46/1.97 fof(d4_relat_1, axiom, ! [X0] : ((relation(X0) => ! [X1] : ((X1 = 'relation$udom'(X0) <=> ! [X2] : ((in(X2,X1) <=> ? [X3] : in('ordered$upair'(X2,X3),X0)))))))).
% 12.46/1.97 fof(d5_relat_1, axiom, ! [X0] : ((relation(X0) => ! [X1] : ((X1 = 'relation$urng'(X0) <=> ! [X2] : ((in(X2,X1) <=> ? [X3] : in('ordered$upair'(X3,X2),X0)))))))).
% 12.46/1.97 fof(d6_relat_1, axiom, ! [X0] : ((relation(X0) => 'relation$ufield'(X0) = 'set$uunion2'('relation$udom'(X0),'relation$urng'(X0))))).
% 12.46/1.97 fof(t30_relat_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ((relation(X2) => (in('ordered$upair'(X0,X1),X2) => (in(X0,'relation$ufield'(X2)) & in(X1,'relation$ufield'(X2))))))).
% 12.46/1.97 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ((relation(X2) => (in('ordered$upair'(X0,X1),X2) => (in(X0,'relation$ufield'(X2)) & in(X1,'relation$ufield'(X2)))))), inference(negate_conjecture, [status(cth)], [t30_relat_1])).
% 12.46/1.97 cnf(c3, plain, X0 != 'set$uunion2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])).
% 12.46/1.97 cnf(c6, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X1), inference(clausification, [status(esa)], [d2_xboole_0])).
% 12.46/1.97 cnf(c7, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X2), inference(clausification, [status(esa)], [d2_xboole_0])).
% 12.46/1.97 cnf(c15, plain, ~relation(X0) | X1 != 'relation$udom'(X0) | in(X2,X1) | ~in('ordered$upair'(X2,X3),X0), inference(clausification, [status(esa)], [d4_relat_1])).
% 12.46/1.97 cnf(c21, plain, ~relation(X0) | X1 != 'relation$urng'(X0) | in(X2,X1) | ~in('ordered$upair'(X3,X2),X0), inference(clausification, [status(esa)], [d5_relat_1])).
% 12.46/1.97 cnf(c27, plain, ~relation(X0) | 'relation$ufield'(X0) = 'set$uunion2'('relation$udom'(X0),'relation$urng'(X0)), inference(clausification, [status(esa)], [d6_relat_1])).
% 12.46/1.97 cnf(c47, plain, relation(sK61), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.46/1.97 cnf(c48, plain, in('ordered$upair'(sK59,sK60),sK61), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.46/1.97 cnf(c49, plain, ~in(sK59,'relation$ufield'(sK61)) | ~in(sK60,'relation$ufield'(sK61)), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.46/1.97 cnf(d0, plain, 'relation$ufield'(sK61) = 'set$uunion2'('relation$udom'(sK61),'relation$urng'(sK61)), inference(resolution, [status(thm)], [c27,c47])).
% 12.46/1.97 cnf(d1, plain, X0 != 'relation$ufield'(sK61) | 'Ts6'('relation$udom'(sK61),'relation$urng'(sK61),X0), inference(superposition, [status(thm)], [d0,c3])).
% 12.46/1.97 cnf(d2, plain, 'Ts6'('relation$udom'(sK61),'relation$urng'(sK61),'relation$ufield'(sK61)), inference(equality_resolution, [status(thm)], [d1])).
% 12.46/1.97 cnf(d3, plain, in(X0,'relation$ufield'(sK61)) | ~in(X0,'relation$urng'(sK61)), inference(resolution, [status(thm)], [d2,c7])).
% 12.46/1.97 cnf(d4, plain, in(X0,'relation$urng'(X1)) | ~in('ordered$upair'(X2,X0),X1) | ~relation(X1), inference(equality_resolution, [status(thm)], [c21])).
% 12.46/1.97 cnf(d5, plain, in(sK60,'relation$urng'(sK61)) | ~relation(sK61), inference(resolution, [status(thm)], [d4,c48])).
% 12.46/1.97 cnf(d6, plain, in(sK60,'relation$urng'(sK61)), inference(resolution, [status(thm)], [c47,d5])).
% 12.46/1.97 cnf(d7, plain, in(sK60,'relation$ufield'(sK61)), inference(resolution, [status(thm)], [d6,d3])).
% 12.46/1.97 cnf(d8, plain, in(X0,'relation$ufield'(sK61)) | ~in(X0,'relation$udom'(sK61)), inference(resolution, [status(thm)], [d2,c6])).
% 12.46/1.97 cnf(d9, plain, in(X0,'relation$udom'(X1)) | ~in('ordered$upair'(X0,X2),X1) | ~relation(X1), inference(equality_resolution, [status(thm)], [c15])).
% 12.46/1.97 cnf(d10, plain, in(sK59,'relation$udom'(sK61)) | ~relation(sK61), inference(resolution, [status(thm)], [d9,c48])).
% 12.46/1.97 cnf(d11, plain, in(sK59,'relation$udom'(sK61)), inference(resolution, [status(thm)], [c47,d10])).
% 12.46/1.97 cnf(d12, plain, in(sK59,'relation$ufield'(sK61)), inference(resolution, [status(thm)], [d11,d8])).
% 12.46/1.97 cnf(d13, plain, ~in(sK60,'relation$ufield'(sK61)), inference(resolution, [status(thm)], [d12,c49])).
% 12.46/1.97 cnf(d14, plain, $false, inference(resolution, [status(thm)], [d13,d7])).
% 12.46/1.97 % SZS output end CNFRefutation for theBenchmark.p
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