%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SEU126+1 : TPTP v9.3.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n008.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 13.64s 2.15s % Output : CNFRefutation 13.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SEU126+1 : TPTP v9.3.1. Released v3.3.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/0.35 % Computer : n008.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 08:38:39 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 13.64/2.15 % SZS status Theorem for theBenchmark.p % 13.64/2.15 % SZS output start CNFRefutation for theBenchmark.p % 13.64/2.15 fof(commutativity_k2_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0)). % 13.64/2.15 fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uunion2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) | in(X3,X1))))))). % 13.64/2.15 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))). % 13.64/2.15 fof(t12_xboole_1, conjecture, ! [X0] : ! [X1] : ((subset(X0,X1) => 'set$uunion2'(X0,X1) = X1))). % 13.64/2.15 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((subset(X0,X1) => 'set$uunion2'(X0,X1) = X1)), inference(negate_conjecture, [status(cth)], [t12_xboole_1])). % 13.64/2.15 cnf(c1, plain, 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_xboole_0])). % 13.64/2.15 cnf(c6, plain, X0 = 'set$uunion2'(X1,X2) | ~X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])). % 13.64/2.15 cnf(c11, plain, X0(X1,X2,X3) | in(sK11(X1,X2,X3),X3) | in(sK11(X1,X2,X3),X1) | in(sK11(X1,X2,X3),X2), inference(clausification, [status(esa)], [d2_xboole_0])). % 13.64/2.15 cnf(c12, plain, X0(X1,X2,X3) | ~in(sK11(X1,X2,X3),X1) | ~in(sK11(X1,X2,X3),X3), inference(clausification, [status(esa)], [d2_xboole_0])). % 13.64/2.15 cnf(c16, plain, ~subset(X0,X1) | ~in(X2,X0) | in(X2,X1), inference(clausification, [status(esa)], [d3_tarski])). % 13.64/2.15 cnf(c30, plain, subset(sK32,sK33), inference(clausification, [status(esa)], [negated_conjecture])). % 13.64/2.15 cnf(c31, plain, 'set$uunion2'(sK32,sK33) != sK33, inference(clausification, [status(esa)], [negated_conjecture])). % 13.64/2.15 cnf(d0, plain, in(X0,sK33) | ~in(X0,sK32), inference(resolution, [status(thm)], [c16,c30])). % 13.64/2.15 cnf(d1, plain, in(sK11(X0,sK32,X1),sK33) | in(sK11(X0,sK32,X1),X1) | in(sK11(X0,sK32,X1),X0) | 'Ts6'(X0,sK32,X1), inference(resolution, [status(thm)], [d0,c11])). % 13.64/2.15 cnf(d2, plain, in(sK11(X0,sK32,X0),X0) | in(sK11(X0,sK32,X0),sK33) | 'Ts6'(X0,sK32,X0), inference(factoring, [status(thm)], [d1])). % 13.64/2.15 cnf(d3, plain, in(sK11(sK33,sK32,sK33),sK33) | 'Ts6'(sK33,sK32,sK33), inference(factoring, [status(thm)], [d2])). % 13.64/2.15 cnf(d4, plain, 'Ts6'(sK33,sK32,sK33) | ~in(sK11(sK33,sK32,sK33),sK33) | 'Ts6'(sK33,sK32,sK33), inference(resolution, [status(thm)], [d3,c12])). % 13.64/2.15 cnf(d5, plain, 'Ts6'(sK33,sK32,sK33) | 'Ts6'(sK33,sK32,sK33), inference(resolution, [status(thm)], [d4,d3])). % 13.64/2.15 cnf(d6, plain, sK33 = 'set$uunion2'(sK33,sK32), inference(resolution, [status(thm)], [d5,c6])). % 13.64/2.15 cnf(d7, plain, 'set$uunion2'(sK33,sK32) != sK33, inference(demodulation, [status(thm)], [c31,c1])). % 13.64/2.15 cnf(d8, plain, sK33 != sK33, inference(demodulation, [status(thm)], [d7,d6])). % 13.64/2.15 cnf(d9, plain, $false, inference(equality_resolution, [status(thm)], [d8])). % 13.64/2.15 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------