%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU159+3 : 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 : 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 08:41:05 AM UTC 2026
% Result : Theorem 10.82s 1.73s
% Output : CNFRefutation 10.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU159+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 08:42:24 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.82/1.73 % SZS status Theorem for theBenchmark.p
% 10.82/1.73 % SZS output start CNFRefutation for theBenchmark.p
% 10.82/1.73 fof(commutativity_k2_tarski, axiom, ! [X0] : ! [X1] : 'unordered$upair'(X0,X1) = 'unordered$upair'(X1,X0)).
% 10.82/1.73 fof(d2_tarski, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'unordered$upair'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (X3 = X0 | X3 = X1)))))).
% 10.82/1.73 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))).
% 10.82/1.73 fof(t38_zfmisc_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ((subset('unordered$upair'(X0,X1),X2) <=> (in(X0,X2) & in(X1,X2))))).
% 10.82/1.73 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ((subset('unordered$upair'(X0,X1),X2) <=> (in(X0,X2) & in(X1,X2)))), inference(negate_conjecture, [status(cth)], [t38_zfmisc_1])).
% 10.82/1.73 cnf(c1, plain, 'unordered$upair'(X0,X1) = 'unordered$upair'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_tarski])).
% 10.82/1.73 cnf(c2, plain, X0 != 'unordered$upair'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_tarski])).
% 10.82/1.73 cnf(c4, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | X4 = X1 | X4 = X2, inference(clausification, [status(esa)], [d2_tarski])).
% 10.82/1.73 cnf(c5, plain, ~X0(X1,X2,X3) | in(X4,X3) | X4 != X1, inference(clausification, [status(esa)], [d2_tarski])).
% 10.82/1.73 cnf(c13, plain, ~subset(X0,X1) | ~in(X2,X0) | in(X2,X1), inference(clausification, [status(esa)], [d3_tarski])).
% 10.82/1.73 cnf(c14, plain, subset(X0,X1) | in(sK13(X0,X1),X0), inference(clausification, [status(esa)], [d3_tarski])).
% 10.82/1.73 cnf(c15, plain, subset(X0,X1) | ~in(sK13(X0,X1),X1), inference(clausification, [status(esa)], [d3_tarski])).
% 10.82/1.73 cnf(c20, plain, subset('unordered$upair'(sK18,sK19),sK20) | in(sK18,sK20), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.82/1.73 cnf(c21, plain, subset('unordered$upair'(sK18,sK19),sK20) | in(sK19,sK20), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.82/1.73 cnf(c22, plain, ~in(sK18,sK20) | ~in(sK19,sK20) | ~subset('unordered$upair'(sK18,sK19),sK20), inference(clausification, [status(esa)], [negated_conjecture])).
% 10.82/1.73 cnf(d0, plain, 'Ts4'(X0,X1,'unordered$upair'(X0,X1)), inference(equality_resolution, [status(thm)], [c2])).
% 10.82/1.73 cnf(d1, plain, X0 = X1 | X0 = X2 | ~in(X0,'unordered$upair'(X2,X1)), inference(resolution, [status(thm)], [d0,c4])).
% 10.82/1.73 cnf(d2, plain, sK13('unordered$upair'(X0,X1),X2) = X0 | sK13('unordered$upair'(X0,X1),X2) = X1 | subset('unordered$upair'(X0,X1),X2), inference(resolution, [status(thm)], [d1,c14])).
% 10.82/1.73 cnf(d3, plain, in(X0,sK20) | ~in(X0,'unordered$upair'(sK18,sK19)) | in(sK19,sK20), inference(resolution, [status(thm)], [c13,c21])).
% 10.82/1.73 cnf(d4, plain, 'Ts4'(X0,X1,'unordered$upair'(X1,X0)), inference(superposition, [status(thm)], [c1,d0])).
% 10.82/1.73 cnf(d5, plain, in(X0,X1) | ~'Ts4'(X0,X2,X1), inference(equality_resolution, [status(thm)], [c5])).
% 10.82/1.73 cnf(d6, plain, in(X0,'unordered$upair'(X1,X0)), inference(resolution, [status(thm)], [d5,d4])).
% 10.82/1.73 cnf(d7, plain, in(sK19,sK20) | in(sK19,sK20), inference(resolution, [status(thm)], [d6,d3])).
% 10.82/1.73 cnf(d8, plain, ~in(sK18,sK20) | ~subset('unordered$upair'(sK18,sK19),sK20), inference(resolution, [status(thm)], [d7,c22])).
% 10.82/1.73 cnf(d9, plain, in(X0,sK20) | ~in(X0,'unordered$upair'(sK18,sK19)) | in(sK18,sK20), inference(resolution, [status(thm)], [c13,c20])).
% 10.82/1.73 cnf(d10, plain, in(X0,'unordered$upair'(X0,X1)), inference(resolution, [status(thm)], [d5,d0])).
% 10.82/1.73 cnf(d11, plain, in(sK18,sK20) | in(sK18,sK20), inference(resolution, [status(thm)], [d10,d9])).
% 10.82/1.73 cnf(d12, plain, ~subset('unordered$upair'(sK18,sK19),sK20), inference(resolution, [status(thm)], [d11,d8])).
% 10.82/1.73 cnf(d13, plain, sK13('unordered$upair'(sK18,sK19),sK20) = sK19 | sK13('unordered$upair'(sK18,sK19),sK20) = sK18, inference(resolution, [status(thm)], [d12,d2])).
% 10.82/1.73 cnf(d14, plain, ~in(sK19,sK20) | subset('unordered$upair'(sK18,sK19),sK20) | sK13('unordered$upair'(sK18,sK19),sK20) = sK18, inference(superposition, [status(thm)], [d13,c15])).
% 10.82/1.73 cnf(d15, plain, sK13('unordered$upair'(sK18,sK19),sK20) = sK18 | subset('unordered$upair'(sK18,sK19),sK20), inference(resolution, [status(thm)], [d7,d14])).
% 10.82/1.73 cnf(d16, plain, sK13('unordered$upair'(sK18,sK19),sK20) = sK18, inference(resolution, [status(thm)], [d12,d15])).
% 10.82/1.73 cnf(d17, plain, ~in(sK18,sK20) | subset('unordered$upair'(sK18,sK19),sK20), inference(superposition, [status(thm)], [d16,c15])).
% 10.82/1.73 cnf(d18, plain, subset('unordered$upair'(sK18,sK19),sK20), inference(resolution, [status(thm)], [d11,d17])).
% 10.82/1.73 cnf(d19, plain, $false, inference(resolution, [status(thm)], [d12,d18])).
% 10.82/1.73 % SZS output end CNFRefutation for theBenchmark.p
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