%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET901+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 : n001.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 08:33:31 AM UTC 2026
% Result : Theorem 17.68s 7.79s
% Output : CNFRefutation 17.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET901+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n001.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Sat Sep 26 08:30:47 UTC 2026
% 0.18/5.46 % CPUTime :
% 0.18/5.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.68/7.79 % SZS status Theorem for theBenchmark.p
% 17.68/7.79 % SZS output start CNFRefutation for theBenchmark.p
% 17.68/7.79 fof(commutativity_k2_tarski, axiom, ! [X0] : ! [X1] : 'unordered$upair'(X0,X1) = 'unordered$upair'(X1,X0)).
% 17.68/7.79 fof(reflexivity_r1_tarski, axiom, ! [X0] : ! [X1] : subset(X0,X0)).
% 17.68/7.79 fof(l46_zfmisc_1, axiom, ! [X0] : ! [X1] : ! [X2] : ((subset(X0,'unordered$upair'(X1,X2)) <=> ~((X0 != 'empty$uset' & (X0 != singleton(X1) & (X0 != singleton(X2) & X0 != 'unordered$upair'(X1,X2)))))))).
% 17.68/7.79 fof(t42_zfmisc_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ((subset(X0,'unordered$upair'(X1,X2)) <=> ~((X0 != 'empty$uset' & (X0 != singleton(X1) & (X0 != singleton(X2) & X0 != 'unordered$upair'(X1,X2)))))))).
% 17.68/7.79 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ((subset(X0,'unordered$upair'(X1,X2)) <=> ~((X0 != 'empty$uset' & (X0 != singleton(X1) & (X0 != singleton(X2) & X0 != 'unordered$upair'(X1,X2))))))), inference(negate_conjecture, [status(cth)], [t42_zfmisc_1])).
% 17.68/7.79 cnf(c0, plain, 'unordered$upair'(X0,X1) = 'unordered$upair'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_tarski])).
% 17.68/7.79 cnf(c1, plain, subset(X0,X0), inference(clausification, [status(esa)], [reflexivity_r1_tarski])).
% 17.68/7.79 cnf(c5, plain, ~subset(X0,'unordered$upair'(X1,X2)) | X3(X0,X1,X2), inference(clausification, [status(esa)], [l46_zfmisc_1])).
% 17.68/7.79 cnf(c6, plain, subset(X0,'unordered$upair'(X1,X2)) | ~X3(X0,X1,X2), inference(clausification, [status(esa)], [l46_zfmisc_1])).
% 17.68/7.79 cnf(c7, plain, X0 = singleton(X1) | X0 = 'unordered$upair'(X2,X1) | ~X3(X0,X2,X1) | X0 = 'empty$uset' | X0 = singleton(X2), inference(clausification, [status(esa)], [l46_zfmisc_1])).
% 17.68/7.79 cnf(c8, plain, X0(X1,X2,X3) | X1 != 'empty$uset', inference(clausification, [status(esa)], [l46_zfmisc_1])).
% 17.68/7.79 cnf(c9, plain, X0(X1,X2,X3) | X1 != singleton(X2), inference(clausification, [status(esa)], [l46_zfmisc_1])).
% 17.68/7.79 cnf(c10, plain, X0(X1,X2,X3) | X1 != singleton(X3), inference(clausification, [status(esa)], [l46_zfmisc_1])).
% 17.68/7.79 cnf(c13, plain, subset(sK11,'unordered$upair'(sK12,sK13)) | X0(sK11,sK12,sK13), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.68/7.79 cnf(c14, plain, ~X0(sK11,sK12,sK13) | ~subset(sK11,'unordered$upair'(sK12,sK13)), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.68/7.79 cnf(c16, plain, ~X0(X1,X2,X3) | X1 = singleton(X3) | X1 = 'unordered$upair'(X2,X3) | X1 = 'empty$uset' | X1 = singleton(X2), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.68/7.79 cnf(c17, plain, X0(X1,X2,X3) | X1 != 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])).
% 17.68/7.79 cnf(c18, plain, X0(X1,X2,X3) | X1 != singleton(X2), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.68/7.79 cnf(c19, plain, X0(X1,X2,X3) | X1 != singleton(X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.68/7.79 cnf(c20, plain, X0(X1,X2,X3) | X1 != 'unordered$upair'(X2,X3), inference(clausification, [status(esa)], [negated_conjecture])).
% 17.68/7.79 cnf(d0, plain, subset(X2,'unordered$upair'(X1,X0)) | ~'Ts6'(X2,X0,X1), inference(superposition, [status(thm)], [c0,c6])).
% 17.68/7.79 cnf(d1, plain, ~'Ts6'(sK11,sK13,sK12) | ~'Ts10'(sK11,sK12,sK13), inference(resolution, [status(thm)], [d0,c14])).
% 17.68/7.79 cnf(d2, plain, 'Ts6'(singleton(X0),X1,X0), inference(equality_resolution, [status(thm)], [c10])).
% 17.68/7.79 cnf(d3, plain, 'Ts6'(singleton(X0),X0,X1), inference(equality_resolution, [status(thm)], [c9])).
% 17.68/7.79 cnf(d4, plain, 'Ts6'('unordered$upair'(X0,X1),X0,X1), inference(resolution, [status(thm)], [c5,c1])).
% 17.68/7.79 cnf(d5, plain, 'Ts10'(sK11,sK12,sK13) | 'Ts6'(sK11,sK12,sK13), inference(resolution, [status(thm)], [c13,c5])).
% 17.68/7.79 cnf(d6, plain, 'Ts10'(sK11,sK12,sK13) | sK11 = 'unordered$upair'(sK12,sK13) | sK11 = 'empty$uset' | sK11 = singleton(sK13) | sK11 = singleton(sK12), inference(resolution, [status(thm)], [d5,c7])).
% 17.68/7.79 cnf(d7, plain, sK11 = 'unordered$upair'(sK12,sK13) | sK11 = 'empty$uset' | sK11 = singleton(sK12) | sK11 = singleton(sK13) | sK11 = 'unordered$upair'(sK12,sK13) | sK11 = 'empty$uset' | sK11 = singleton(sK13) | sK11 = singleton(sK12), inference(resolution, [status(thm)], [d6,c16])).
% 17.68/7.79 cnf(d8, plain, 'Ts6'(sK11,sK12,sK13) | sK11 = 'empty$uset' | sK11 = singleton(sK12) | sK11 = singleton(sK13), inference(superposition, [status(thm)], [d7,d4])).
% 17.68/7.79 cnf(d9, plain, ~'Ts10'(sK11,sK12,sK13) | ~'Ts6'(sK11,sK12,sK13), inference(resolution, [status(thm)], [c14,c6])).
% 17.68/7.79 cnf(d10, plain, 'Ts10'('unordered$upair'(X0,X1),X0,X1), inference(equality_resolution, [status(thm)], [c20])).
% 17.68/7.79 cnf(d11, plain, 'Ts10'(sK11,sK12,sK13) | sK11 = 'empty$uset' | sK11 = singleton(sK12) | sK11 = singleton(sK13), inference(superposition, [status(thm)], [d7,d10])).
% 17.68/7.79 cnf(d12, plain, sK11 = 'empty$uset' | sK11 = singleton(sK12) | sK11 = singleton(sK13) | ~'Ts6'(sK11,sK12,sK13), inference(resolution, [status(thm)], [d11,d9])).
% 17.68/7.79 cnf(d13, plain, sK11 = 'empty$uset' | sK11 = singleton(sK12) | sK11 = singleton(sK13) | sK11 = 'empty$uset' | sK11 = singleton(sK12) | sK11 = singleton(sK13), inference(resolution, [status(thm)], [d12,d8])).
% 17.68/7.79 cnf(d14, plain, 'Ts6'(sK11,sK13,X0) | sK11 = 'empty$uset' | sK11 = singleton(sK12), inference(superposition, [status(thm)], [d13,d3])).
% 17.68/7.79 cnf(d15, plain, 'Ts10'(singleton(X0),X1,X0), inference(equality_resolution, [status(thm)], [c19])).
% 17.68/7.79 cnf(d16, plain, 'Ts10'(sK11,X0,sK13) | sK11 = 'empty$uset' | sK11 = singleton(sK12), inference(superposition, [status(thm)], [d13,d15])).
% 17.68/7.79 cnf(d17, plain, sK11 = 'empty$uset' | sK11 = singleton(sK12) | ~'Ts6'(sK11,sK13,sK12), inference(resolution, [status(thm)], [d16,d1])).
% 17.68/7.79 cnf(d18, plain, sK11 = 'empty$uset' | sK11 = singleton(sK12) | sK11 = 'empty$uset' | sK11 = singleton(sK12), inference(resolution, [status(thm)], [d17,d14])).
% 17.68/7.79 cnf(d19, plain, 'Ts6'(sK11,X0,sK12) | sK11 = 'empty$uset', inference(superposition, [status(thm)], [d18,d2])).
% 17.68/7.79 cnf(d20, plain, 'Ts10'(singleton(X0),X0,X1), inference(equality_resolution, [status(thm)], [c18])).
% 17.68/7.79 cnf(d21, plain, 'Ts10'(sK11,sK12,X0) | sK11 = 'empty$uset', inference(superposition, [status(thm)], [d18,d20])).
% 17.68/7.79 cnf(d22, plain, sK11 = 'empty$uset' | ~'Ts6'(sK11,sK13,sK12), inference(resolution, [status(thm)], [d21,d1])).
% 17.68/7.79 cnf(d23, plain, sK11 = 'empty$uset' | sK11 = 'empty$uset', inference(resolution, [status(thm)], [d22,d19])).
% 17.68/7.79 cnf(d24, plain, 'Ts6'('empty$uset',X0,X1), inference(equality_resolution, [status(thm)], [c8])).
% 17.68/7.79 cnf(d25, plain, 'Ts6'(sK11,X0,X1), inference(demodulation, [status(thm)], [d24,d23])).
% 17.68/7.79 cnf(d26, plain, ~'Ts10'(sK11,sK12,sK13), inference(resolution, [status(thm)], [d25,d1])).
% 17.68/7.79 cnf(d27, plain, 'Ts10'('empty$uset',X0,X1), inference(equality_resolution, [status(thm)], [c17])).
% 17.68/7.79 cnf(d28, plain, 'Ts10'(sK11,X0,X1), inference(demodulation, [status(thm)], [d27,d23])).
% 17.68/7.79 cnf(d29, plain, $false, inference(resolution, [status(thm)], [d28,d26])).
% 17.68/7.79 % SZS output end CNFRefutation for theBenchmark.p
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