%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET983+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 08:33:40 AM UTC 2026
% Result : Theorem 7.33s 1.84s
% Output : CNFRefutation 7.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET983+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 08:28:45 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.33/1.84 % SZS status Theorem for theBenchmark.p
% 7.33/1.84 % SZS output start CNFRefutation for theBenchmark.p
% 7.33/1.84 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uintersection2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))))).
% 7.33/1.84 fof(t123_zfmisc_1, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : 'cartesian$uproduct2'('set$uintersection2'(X0,X1),'set$uintersection2'(X2,X3)) = 'set$uintersection2'('cartesian$uproduct2'(X0,X2),'cartesian$uproduct2'(X1,X3))).
% 7.33/1.84 fof(t137_zfmisc_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((in(X0,'cartesian$uproduct2'(X1,X2)) & in(X0,'cartesian$uproduct2'(X3,X4))) => in(X0,'cartesian$uproduct2'('set$uintersection2'(X1,X3),'set$uintersection2'(X2,X4)))))).
% 7.33/1.84 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((in(X0,'cartesian$uproduct2'(X1,X2)) & in(X0,'cartesian$uproduct2'(X3,X4))) => in(X0,'cartesian$uproduct2'('set$uintersection2'(X1,X3),'set$uintersection2'(X2,X4))))), inference(negate_conjecture, [status(cth)], [t137_zfmisc_1])).
% 7.33/1.84 cnf(c2, plain, X0 != 'set$uintersection2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])).
% 7.33/1.84 cnf(c6, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X1) | ~in(X4,X2), inference(clausification, [status(esa)], [d3_xboole_0])).
% 7.33/1.84 cnf(c16, plain, 'cartesian$uproduct2'('set$uintersection2'(X0,X1),'set$uintersection2'(X2,X3)) = 'set$uintersection2'('cartesian$uproduct2'(X0,X2),'cartesian$uproduct2'(X1,X3)), inference(clausification, [status(esa)], [t123_zfmisc_1])).
% 7.33/1.84 cnf(c17, plain, in(sK18,'cartesian$uproduct2'(sK19,sK20)), inference(clausification, [status(esa)], [negated_conjecture])).
% 7.33/1.84 cnf(c18, plain, in(sK18,'cartesian$uproduct2'(sK21,sK22)), inference(clausification, [status(esa)], [negated_conjecture])).
% 7.33/1.84 cnf(c19, plain, ~in(sK18,'cartesian$uproduct2'('set$uintersection2'(sK19,sK21),'set$uintersection2'(sK20,sK22))), inference(clausification, [status(esa)], [negated_conjecture])).
% 7.33/1.84 cnf(d0, plain, ~in(sK18,'set$uintersection2'('cartesian$uproduct2'(sK19,sK20),'cartesian$uproduct2'(sK21,sK22))), inference(demodulation, [status(thm)], [c19,c16])).
% 7.33/1.84 cnf(d1, plain, 'Ts4'(X0,X1,'set$uintersection2'(X0,X1)), inference(equality_resolution, [status(thm)], [c2])).
% 7.33/1.84 cnf(d2, plain, in(X0,'set$uintersection2'(X1,X2)) | ~in(X0,X1) | ~in(X0,X2), inference(resolution, [status(thm)], [d1,c6])).
% 7.33/1.84 cnf(d3, plain, ~in(sK18,'cartesian$uproduct2'(sK21,sK22)) | ~in(sK18,'cartesian$uproduct2'(sK19,sK20)), inference(resolution, [status(thm)], [d2,d0])).
% 7.33/1.84 cnf(d4, plain, ~in(sK18,'cartesian$uproduct2'(sK21,sK22)), inference(resolution, [status(thm)], [c17,d3])).
% 7.33/1.84 cnf(d5, plain, $false, inference(resolution, [status(thm)], [c18,d4])).
% 7.33/1.84 % SZS output end CNFRefutation for theBenchmark.p
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