%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU125+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 08:40:56 AM UTC 2026
% Result : Theorem 24.29s 5.60s
% Output : CNFRefutation 24.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU125+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n002.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sat Sep 26 08:40:35 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.29/5.60 % SZS status Theorem for theBenchmark.p
% 24.29/5.60 % SZS output start CNFRefutation for theBenchmark.p
% 24.29/5.60 fof(commutativity_k2_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0)).
% 24.29/5.60 fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uunion2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) | in(X3,X1))))))).
% 24.29/5.60 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))).
% 24.29/5.60 fof(t8_xboole_1, conjecture, ! [X0] : ! [X1] : ! [X2] : (((subset(X0,X1) & subset(X2,X1)) => subset('set$uunion2'(X0,X2),X1)))).
% 24.29/5.60 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : (((subset(X0,X1) & subset(X2,X1)) => subset('set$uunion2'(X0,X2),X1))), inference(negate_conjecture, [status(cth)], [t8_xboole_1])).
% 24.29/5.60 cnf(c1, plain, 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_xboole_0])).
% 24.29/5.60 cnf(c2, plain, X0 != 'set$uunion2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])).
% 24.29/5.60 cnf(c3, plain, X0 = 'set$uunion2'(X1,X2) | ~X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])).
% 24.29/5.60 cnf(c4, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X1) | in(X4,X2), inference(clausification, [status(esa)], [d2_xboole_0])).
% 24.29/5.60 cnf(c6, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X2), inference(clausification, [status(esa)], [d2_xboole_0])).
% 24.29/5.60 cnf(c8, plain, X0(X1,X2,X3) | in(sK9(X1,X2,X3),X3) | in(sK9(X1,X2,X3),X1) | in(sK9(X1,X2,X3),X2), inference(clausification, [status(esa)], [d2_xboole_0])).
% 24.29/5.60 cnf(c11, plain, X0(X1,X2,X3) | ~in(sK9(X1,X2,X3),X2) | ~in(sK9(X1,X2,X3),X3), inference(clausification, [status(esa)], [d2_xboole_0])).
% 24.29/5.60 cnf(c13, plain, ~subset(X0,X1) | ~in(X2,X0) | in(X2,X1), inference(clausification, [status(esa)], [d3_tarski])).
% 24.29/5.60 cnf(c14, plain, subset(X0,X1) | in(sK13(X0,X1),X0), inference(clausification, [status(esa)], [d3_tarski])).
% 24.29/5.60 cnf(c15, plain, subset(X0,X1) | ~in(sK13(X0,X1),X1), inference(clausification, [status(esa)], [d3_tarski])).
% 24.29/5.60 cnf(c27, plain, subset(sK30,sK31), inference(clausification, [status(esa)], [negated_conjecture])).
% 24.29/5.60 cnf(c28, plain, subset(sK32,sK31), inference(clausification, [status(esa)], [negated_conjecture])).
% 24.29/5.60 cnf(c29, plain, ~subset('set$uunion2'(sK30,sK32),sK31), inference(clausification, [status(esa)], [negated_conjecture])).
% 24.29/5.60 cnf(d0, plain, in(X0,sK31) | ~in(X0,sK30), inference(resolution, [status(thm)], [c13,c27])).
% 24.29/5.60 cnf(d1, plain, in(sK9(X0,X1,X1),X1) | in(sK9(X0,X1,X1),X0) | 'Ts4'(X0,X1,X1), inference(factoring, [status(thm)], [c8])).
% 24.29/5.60 cnf(d2, plain, in(sK9(sK30,X0,X0),X0) | 'Ts4'(sK30,X0,X0) | in(sK9(sK30,X0,X0),sK31), inference(resolution, [status(thm)], [d1,d0])).
% 24.29/5.60 cnf(d3, plain, in(sK9(sK30,sK31,sK31),sK31) | 'Ts4'(sK30,sK31,sK31), inference(factoring, [status(thm)], [d2])).
% 24.29/5.60 cnf(d4, plain, 'Ts4'(sK30,sK31,sK31) | ~in(sK9(sK30,sK31,sK31),sK31) | 'Ts4'(sK30,sK31,sK31), inference(resolution, [status(thm)], [d3,c11])).
% 24.29/5.60 cnf(d5, plain, 'Ts4'(sK30,sK31,sK31) | 'Ts4'(sK30,sK31,sK31), inference(resolution, [status(thm)], [d4,d3])).
% 24.29/5.60 cnf(d6, plain, sK31 = 'set$uunion2'(sK30,sK31), inference(resolution, [status(thm)], [d5,c3])).
% 24.29/5.60 cnf(d7, plain, sK31 = 'set$uunion2'(sK31,sK30), inference(demodulation, [status(thm)], [d6,c1])).
% 24.29/5.60 cnf(d8, plain, 'Ts4'(X0,X1,'set$uunion2'(X0,X1)), inference(equality_resolution, [status(thm)], [c2])).
% 24.29/5.60 cnf(d9, plain, in(X0,'set$uunion2'(X1,X2)) | ~in(X0,X2), inference(resolution, [status(thm)], [d8,c6])).
% 24.29/5.60 cnf(d10, plain, ~in(sK13(X0,'set$uunion2'(X1,X2)),X2) | subset(X0,'set$uunion2'(X1,X2)), inference(resolution, [status(thm)], [d9,c15])).
% 24.29/5.60 cnf(d11, plain, ~in(sK13(X0,sK31),sK30) | subset(X0,'set$uunion2'(sK31,sK30)), inference(superposition, [status(thm)], [d7,d10])).
% 24.29/5.60 cnf(d12, plain, ~in(sK13(X0,sK31),sK30) | subset(X0,sK31), inference(demodulation, [status(thm)], [d11,d7])).
% 24.29/5.60 cnf(d13, plain, in(X0,X1) | in(X0,X2) | ~in(X0,'set$uunion2'(X2,X1)), inference(resolution, [status(thm)], [d8,c4])).
% 24.29/5.60 cnf(d14, plain, in(sK13('set$uunion2'(X0,X1),X2),X0) | in(sK13('set$uunion2'(X0,X1),X2),X1) | subset('set$uunion2'(X0,X1),X2), inference(resolution, [status(thm)], [d13,c14])).
% 24.29/5.60 cnf(d15, plain, in(X0,sK31) | ~in(X0,sK32), inference(resolution, [status(thm)], [c13,c28])).
% 24.29/5.60 cnf(d16, plain, in(sK9(sK32,X0,X0),X0) | 'Ts4'(sK32,X0,X0) | in(sK9(sK32,X0,X0),sK31), inference(resolution, [status(thm)], [d1,d15])).
% 24.29/5.60 cnf(d17, plain, in(sK9(sK32,sK31,sK31),sK31) | 'Ts4'(sK32,sK31,sK31), inference(factoring, [status(thm)], [d16])).
% 24.29/5.60 cnf(d18, plain, 'Ts4'(sK32,sK31,sK31) | ~in(sK9(sK32,sK31,sK31),sK31) | 'Ts4'(sK32,sK31,sK31), inference(resolution, [status(thm)], [d17,c11])).
% 24.29/5.60 cnf(d19, plain, 'Ts4'(sK32,sK31,sK31) | 'Ts4'(sK32,sK31,sK31), inference(resolution, [status(thm)], [d18,d17])).
% 24.29/5.60 cnf(d20, plain, sK31 = 'set$uunion2'(sK32,sK31), inference(resolution, [status(thm)], [d19,c3])).
% 24.29/5.60 cnf(d21, plain, sK31 = 'set$uunion2'(sK31,sK32), inference(demodulation, [status(thm)], [d20,c1])).
% 24.29/5.60 cnf(d22, plain, ~in(sK13(X0,sK31),sK32) | subset(X0,'set$uunion2'(sK31,sK32)), inference(superposition, [status(thm)], [d21,d10])).
% 24.29/5.60 cnf(d23, plain, ~in(sK13(X0,sK31),sK32) | subset(X0,sK31), inference(demodulation, [status(thm)], [d22,d21])).
% 24.29/5.60 cnf(d24, plain, subset('set$uunion2'(sK32,X0),sK31) | in(sK13('set$uunion2'(sK32,X0),sK31),X0) | subset('set$uunion2'(sK32,X0),sK31), inference(resolution, [status(thm)], [d23,d14])).
% 24.29/5.60 cnf(d25, plain, subset('set$uunion2'(sK32,sK30),sK31) | subset('set$uunion2'(sK32,sK30),sK31), inference(resolution, [status(thm)], [d24,d12])).
% 24.29/5.60 cnf(d26, plain, subset('set$uunion2'(sK30,sK32),sK31), inference(demodulation, [status(thm)], [d25,c1])).
% 24.29/5.60 cnf(d27, plain, $false, inference(resolution, [status(thm)], [c29,d26])).
% 24.29/5.60 % SZS output end CNFRefutation for theBenchmark.p
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