%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SEU126+2 : 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 : 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 08:40:56 AM UTC 2026 % Result : Theorem 16.82s 2.98s % Output : CNFRefutation 16.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SEU126+2 : TPTP v9.3.1. Released v3.3.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.08/0.34 % Computer : n001.cluster.edu % 0.08/0.34 % Model : x86_64 x86_64 % 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.34 % Memory : 8046.5625MB % 0.08/0.34 % OS : Linux 6.8.0-71-generic % 0.08/0.34 % CPULimit : 300 % 0.08/0.34 % WCLimit : 300 % 0.08/0.34 % DateTime : Sat Sep 26 08:43:42 UTC 2026 % 0.08/0.34 % CPUTime : % 0.08/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 16.82/2.98 % SZS status Theorem for theBenchmark.p % 16.82/2.98 % SZS output start CNFRefutation for theBenchmark.p % 16.82/2.98 fof(commutativity_k2_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0)). % 16.82/2.98 fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uunion2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) | in(X3,X1))))))). % 16.82/2.98 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))). % 16.82/2.98 fof(t12_xboole_1, conjecture, ! [X0] : ! [X1] : ((subset(X0,X1) => 'set$uunion2'(X0,X1) = X1))). % 16.82/2.98 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((subset(X0,X1) => 'set$uunion2'(X0,X1) = X1)), inference(negate_conjecture, [status(cth)], [t12_xboole_1])). % 16.82/2.98 cnf(c1, plain, 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_xboole_0])). % 16.82/2.98 cnf(c9, plain, X0 = 'set$uunion2'(X1,X2) | ~X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])). % 16.82/2.98 cnf(c14, plain, X0(X1,X2,X3) | in(sK16(X1,X2,X3),X3) | in(sK16(X1,X2,X3),X1) | in(sK16(X1,X2,X3),X2), inference(clausification, [status(esa)], [d2_xboole_0])). % 16.82/2.98 cnf(c17, plain, X0(X1,X2,X3) | ~in(sK16(X1,X2,X3),X2) | ~in(sK16(X1,X2,X3),X3), inference(clausification, [status(esa)], [d2_xboole_0])). % 16.82/2.98 cnf(c19, plain, ~subset(X0,X1) | ~in(X2,X0) | in(X2,X1), inference(clausification, [status(esa)], [d3_tarski])). % 16.82/2.98 cnf(c58, plain, subset(sK67,sK68), inference(clausification, [status(esa)], [negated_conjecture])). % 16.82/2.98 cnf(c59, plain, 'set$uunion2'(sK67,sK68) != sK68, inference(clausification, [status(esa)], [negated_conjecture])). % 16.82/2.98 cnf(d0, plain, in(X0,sK68) | ~in(X0,sK67), inference(resolution, [status(thm)], [c19,c58])). % 16.82/2.98 cnf(d1, plain, in(sK16(sK67,X0,X1),sK68) | in(sK16(sK67,X0,X1),X1) | in(sK16(sK67,X0,X1),X0) | 'Ts11'(sK67,X0,X1), inference(resolution, [status(thm)], [d0,c14])). % 16.82/2.98 cnf(d2, plain, in(sK16(sK67,X0,X0),X0) | in(sK16(sK67,X0,X0),sK68) | 'Ts11'(sK67,X0,X0), inference(factoring, [status(thm)], [d1])). % 16.82/2.98 cnf(d3, plain, in(sK16(sK67,sK68,sK68),sK68) | 'Ts11'(sK67,sK68,sK68), inference(factoring, [status(thm)], [d2])). % 16.82/2.98 cnf(d4, plain, 'Ts11'(sK67,sK68,sK68) | ~in(sK16(sK67,sK68,sK68),sK68) | 'Ts11'(sK67,sK68,sK68), inference(resolution, [status(thm)], [d3,c17])). % 16.82/2.98 cnf(d5, plain, 'Ts11'(sK67,sK68,sK68) | 'Ts11'(sK67,sK68,sK68), inference(resolution, [status(thm)], [d4,d3])). % 16.82/2.98 cnf(d6, plain, sK68 = 'set$uunion2'(sK67,sK68), inference(resolution, [status(thm)], [d5,c9])). % 16.82/2.98 cnf(d7, plain, sK68 = 'set$uunion2'(sK68,sK67), inference(demodulation, [status(thm)], [d6,c1])). % 16.82/2.98 cnf(d8, plain, 'set$uunion2'(sK68,sK67) != sK68, inference(demodulation, [status(thm)], [c59,c1])). % 16.82/2.98 cnf(d9, plain, sK68 != sK68, inference(demodulation, [status(thm)], [d8,d7])). % 16.82/2.98 cnf(d10, plain, $false, inference(equality_resolution, [status(thm)], [d9])). % 16.82/2.98 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------