%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET960+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 08:33:38 AM UTC 2026
% Result : Theorem 9.32s 3.08s
% Output : CNFRefutation 9.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET960+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.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 08:27:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.32/3.08 % SZS status Theorem for theBenchmark.p
% 9.32/3.08 % SZS output start CNFRefutation for theBenchmark.p
% 9.32/3.08 fof(d1_xboole_0, axiom, ! [X0] : ((X0 = 'empty$uset' <=> ! [X1] : ~in(X1,X0)))).
% 9.32/3.08 fof(d2_zfmisc_1, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'cartesian$uproduct2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> ? [X4] : ? [X5] : ((in(X4,X0) & (in(X5,X1) & X3 = 'ordered$upair'(X4,X5))))))))).
% 9.32/3.08 fof(t113_zfmisc_1, conjecture, ! [X0] : ! [X1] : (('cartesian$uproduct2'(X0,X1) = 'empty$uset' <=> (X0 = 'empty$uset' | X1 = 'empty$uset')))).
% 9.32/3.08 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : (('cartesian$uproduct2'(X0,X1) = 'empty$uset' <=> (X0 = 'empty$uset' | X1 = 'empty$uset'))), inference(negate_conjecture, [status(cth)], [t113_zfmisc_1])).
% 9.32/3.08 cnf(c2, plain, X0 != 'empty$uset' | ~in(X1,X0), inference(clausification, [status(esa)], [d1_xboole_0])).
% 9.32/3.08 cnf(c3, plain, X0 = 'empty$uset' | in(sK6(X0),X0), inference(clausification, [status(esa)], [d1_xboole_0])).
% 9.32/3.08 cnf(c4, plain, X0 != 'cartesian$uproduct2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 9.32/3.08 cnf(c5, plain, X0 = 'cartesian$uproduct2'(X1,X2) | ~X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 9.32/3.08 cnf(c9, plain, ~in(X0,X1) | ~X2(X1,X3,X4) | X5 != 'ordered$upair'(X0,X6) | ~in(X6,X3) | in(X5,X4), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 9.32/3.08 cnf(c11, plain, X0(X1,X2,X3) | in(sK16(X1,X2,X3),X3) | in(sK19(X1,X2,X3),X1), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 9.32/3.08 cnf(c12, plain, X0(X1,X2,X3) | in(sK16(X1,X2,X3),X3) | in(sK20(X1,X2,X3),X2), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 9.32/3.08 cnf(c24, plain, 'cartesian$uproduct2'(sK27,sK28) = 'empty$uset' | sK27 = 'empty$uset' | sK28 = 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 9.32/3.08 cnf(c25, plain, sK27 != 'empty$uset' | 'cartesian$uproduct2'(sK27,sK28) != 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 9.32/3.08 cnf(c27, plain, sK28 != 'empty$uset' | 'cartesian$uproduct2'(sK27,sK28) != 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 9.32/3.08 cnf(d0, plain, ~in(X0,'empty$uset'), inference(equality_resolution, [status(thm)], [c2])).
% 9.32/3.08 cnf(d1, plain, in(sK16('empty$uset',X0,X1),X1) | 'Ts7'('empty$uset',X0,X1), inference(resolution, [status(thm)], [d0,c11])).
% 9.32/3.08 cnf(d2, plain, 'Ts7'('empty$uset',X0,'empty$uset'), inference(resolution, [status(thm)], [d1,d0])).
% 9.32/3.08 cnf(d3, plain, 'empty$uset' = 'cartesian$uproduct2'('empty$uset',X0), inference(resolution, [status(thm)], [d2,c5])).
% 9.32/3.08 cnf(d4, plain, in(sK16(X0,'empty$uset',X1),X1) | 'Ts7'(X0,'empty$uset',X1), inference(resolution, [status(thm)], [d0,c12])).
% 9.32/3.08 cnf(d5, plain, 'Ts7'(X0,'empty$uset','empty$uset'), inference(resolution, [status(thm)], [d4,d0])).
% 9.32/3.08 cnf(d6, plain, 'empty$uset' = 'cartesian$uproduct2'(X0,'empty$uset'), inference(resolution, [status(thm)], [d5,c5])).
% 9.32/3.08 cnf(d7, plain, X0 != 'empty$uset' | 'Ts7'(sK27,sK28,X0) | sK27 = 'empty$uset' | sK28 = 'empty$uset', inference(superposition, [status(thm)], [c24,c4])).
% 9.32/3.08 cnf(d8, plain, sK27 = 'empty$uset' | sK28 = 'empty$uset' | 'Ts7'(sK27,sK28,'empty$uset'), inference(equality_resolution, [status(thm)], [d7])).
% 9.32/3.08 cnf(d9, plain, in('ordered$upair'(X0,X1),X2) | ~in(X0,X3) | ~in(X1,X4) | ~'Ts7'(X3,X4,X2), inference(equality_resolution, [status(thm)], [c9])).
% 9.32/3.08 cnf(d10, plain, ~in(X0,sK28) | ~in(X1,sK27) | in('ordered$upair'(X1,X0),'empty$uset') | sK27 = 'empty$uset' | sK28 = 'empty$uset', inference(resolution, [status(thm)], [d9,d8])).
% 9.32/3.08 cnf(d11, plain, sK27 = 'empty$uset' | sK28 = 'empty$uset' | ~in(X0,sK27) | ~in(X1,sK28), inference(resolution, [status(thm)], [d0,d10])).
% 9.32/3.08 cnf(d12, plain, sK27 = 'empty$uset' | sK28 = 'empty$uset' | ~in(X0,sK28) | sK27 = 'empty$uset', inference(resolution, [status(thm)], [d11,c3])).
% 9.32/3.08 cnf(d13, plain, sK27 = 'empty$uset' | sK28 = 'empty$uset' | sK28 = 'empty$uset', inference(resolution, [status(thm)], [d12,c3])).
% 9.32/3.08 cnf(d14, plain, 'cartesian$uproduct2'(sK27,'empty$uset') != 'empty$uset' | sK28 != 'empty$uset' | sK27 = 'empty$uset', inference(superposition, [status(thm)], [d13,c27])).
% 9.32/3.08 cnf(d15, plain, 'empty$uset' != 'empty$uset' | sK27 = 'empty$uset' | sK28 != 'empty$uset', inference(demodulation, [status(thm)], [d14,d6])).
% 9.32/3.08 cnf(d16, plain, 'empty$uset' != 'empty$uset' | 'empty$uset' != 'empty$uset' | sK27 = 'empty$uset' | sK27 = 'empty$uset', inference(superposition, [status(thm)], [d13,d15])).
% 9.32/3.08 cnf(d17, plain, sK27 = 'empty$uset', inference(equality_resolution, [status(thm)], [d16])).
% 9.32/3.08 cnf(d18, plain, 'cartesian$uproduct2'(sK27,sK28) != 'empty$uset', inference(resolution, [status(thm)], [d17,c25])).
% 9.32/3.08 cnf(d19, plain, 'cartesian$uproduct2'('empty$uset',sK28) != 'empty$uset', inference(demodulation, [status(thm)], [d18,d17])).
% 9.32/3.08 cnf(d20, plain, 'empty$uset' != 'empty$uset', inference(demodulation, [status(thm)], [d19,d3])).
% 9.32/3.08 cnf(d21, plain, $false, inference(equality_resolution, [status(thm)], [d20])).
% 9.32/3.08 % SZS output end CNFRefutation for theBenchmark.p
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