%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU180+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 29.37s 4.16s
% Output : CNFRefutation 29.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU180+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 08:45:36 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.37/4.16 % SZS status Theorem for theBenchmark.p
% 29.37/4.16 % SZS output start CNFRefutation for theBenchmark.p
% 29.37/4.16 fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uunion2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) | in(X3,X1))))))).
% 29.37/4.16 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))).
% 29.37/4.16 fof(d6_relat_1, axiom, ! [X0] : ((relation(X0) => 'relation$ufield'(X0) = 'set$uunion2'('relation$udom'(X0),'relation$urng'(X0))))).
% 29.37/4.16 fof(t20_relat_1, lemma, ! [X0] : ! [X1] : ! [X2] : ((relation(X2) => (in('ordered$upair'(X0,X1),X2) => (in(X0,'relation$udom'(X2)) & in(X1,'relation$urng'(X2))))))).
% 29.37/4.16 fof(t7_xboole_1, lemma, ! [X0] : ! [X1] : subset(X0,'set$uunion2'(X0,X1))).
% 29.37/4.16 fof(t30_relat_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ((relation(X2) => (in('ordered$upair'(X0,X1),X2) => (in(X0,'relation$ufield'(X2)) & in(X1,'relation$ufield'(X2))))))).
% 29.37/4.16 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ((relation(X2) => (in('ordered$upair'(X0,X1),X2) => (in(X0,'relation$ufield'(X2)) & in(X1,'relation$ufield'(X2)))))), inference(negate_conjecture, [status(cth)], [t30_relat_1])).
% 29.37/4.16 cnf(c53, plain, X0 != 'set$uunion2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])).
% 29.37/4.16 cnf(c57, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X2), inference(clausification, [status(esa)], [d2_xboole_0])).
% 29.37/4.16 cnf(c78, plain, ~subset(X0,X1) | ~in(X2,X0) | in(X2,X1), inference(clausification, [status(esa)], [d3_tarski])).
% 29.37/4.16 cnf(c129, plain, ~relation(X0) | 'relation$ufield'(X0) = 'set$uunion2'('relation$udom'(X0),'relation$urng'(X0)), inference(clausification, [status(esa)], [d6_relat_1])).
% 29.37/4.16 cnf(c215, plain, ~relation(X0) | ~in('ordered$upair'(X1,X2),X0) | in(X1,'relation$udom'(X0)), inference(clausification, [status(esa)], [t20_relat_1])).
% 29.37/4.16 cnf(c216, plain, ~relation(X0) | ~in('ordered$upair'(X1,X2),X0) | in(X2,'relation$urng'(X0)), inference(clausification, [status(esa)], [t20_relat_1])).
% 29.37/4.16 cnf(c275, plain, subset(X0,'set$uunion2'(X0,X1)), inference(clausification, [status(esa)], [t7_xboole_1])).
% 29.37/4.16 cnf(c289, plain, relation(sK363), inference(clausification, [status(esa)], [negated_conjecture])).
% 29.37/4.16 cnf(c290, plain, in('ordered$upair'(sK361,sK362),sK363), inference(clausification, [status(esa)], [negated_conjecture])).
% 29.37/4.16 cnf(c291, plain, ~in(sK361,'relation$ufield'(sK363)) | ~in(sK362,'relation$ufield'(sK363)), inference(clausification, [status(esa)], [negated_conjecture])).
% 29.37/4.16 cnf(d0, plain, 'relation$ufield'(sK363) = 'set$uunion2'('relation$udom'(sK363),'relation$urng'(sK363)), inference(resolution, [status(thm)], [c129,c289])).
% 29.37/4.16 cnf(d1, plain, X0 != 'relation$ufield'(sK363) | 'Ts47'('relation$udom'(sK363),'relation$urng'(sK363),X0), inference(superposition, [status(thm)], [d0,c53])).
% 29.37/4.16 cnf(d2, plain, 'Ts47'('relation$udom'(sK363),'relation$urng'(sK363),'relation$ufield'(sK363)), inference(equality_resolution, [status(thm)], [d1])).
% 29.37/4.16 cnf(d3, plain, in(X0,'relation$ufield'(sK363)) | ~in(X0,'relation$urng'(sK363)), inference(resolution, [status(thm)], [d2,c57])).
% 29.37/4.16 cnf(d4, plain, in(sK362,'relation$urng'(sK363)) | ~relation(sK363), inference(resolution, [status(thm)], [c216,c290])).
% 29.37/4.16 cnf(d5, plain, in(sK362,'relation$urng'(sK363)), inference(resolution, [status(thm)], [c289,d4])).
% 29.37/4.16 cnf(d6, plain, in(sK362,'relation$ufield'(sK363)), inference(resolution, [status(thm)], [d5,d3])).
% 29.37/4.16 cnf(d7, plain, subset('relation$udom'(sK363),'relation$ufield'(sK363)), inference(superposition, [status(thm)], [d0,c275])).
% 29.37/4.16 cnf(d8, plain, in(X0,'relation$ufield'(sK363)) | ~in(X0,'relation$udom'(sK363)), inference(resolution, [status(thm)], [d7,c78])).
% 29.37/4.16 cnf(d9, plain, in(sK361,'relation$udom'(sK363)) | ~relation(sK363), inference(resolution, [status(thm)], [c215,c290])).
% 29.37/4.16 cnf(d10, plain, in(sK361,'relation$udom'(sK363)), inference(resolution, [status(thm)], [c289,d9])).
% 29.37/4.16 cnf(d11, plain, in(sK361,'relation$ufield'(sK363)), inference(resolution, [status(thm)], [d10,d8])).
% 29.37/4.16 cnf(d12, plain, ~in(sK362,'relation$ufield'(sK363)), inference(resolution, [status(thm)], [d11,c291])).
% 29.37/4.16 cnf(d13, plain, $false, inference(resolution, [status(thm)], [d12,d6])).
% 29.37/4.16 % SZS output end CNFRefutation for theBenchmark.p
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