%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SEU150+2 : 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 : n017.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 08:41:02 AM UTC 2026 % Result : Theorem 16.74s 2.77s % Output : CNFRefutation 16.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SEU150+2 : TPTP v9.3.1. Released v3.3.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/0.57 % Computer : n017.cluster.edu % 0.10/0.57 % Model : x86_64 x86_64 % 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.57 % Memory : 8046.5625MB % 0.10/0.57 % OS : Linux 6.8.0-71-generic % 0.10/0.57 % CPULimit : 300 % 0.10/0.57 % WCLimit : 300 % 0.10/0.57 % DateTime : Sat Sep 26 08:36:03 UTC 2026 % 0.10/0.57 % CPUTime : % 0.10/0.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 16.74/2.77 % SZS status Theorem for theBenchmark.p % 16.74/2.77 % SZS output start CNFRefutation for theBenchmark.p % 16.74/2.77 fof(commutativity_k2_tarski, axiom, ! [X0] : ! [X1] : 'unordered$upair'(X0,X1) = 'unordered$upair'(X1,X0)). % 16.74/2.77 fof(d1_tarski, axiom, ! [X0] : ! [X1] : ((X1 = singleton(X0) <=> ! [X2] : ((in(X2,X1) <=> X2 = X0))))). % 16.74/2.77 fof(d2_tarski, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'unordered$upair'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (X3 = X0 | X3 = X1)))))). % 16.74/2.77 fof(t8_zfmisc_1, lemma, ! [X0] : ! [X1] : ! [X2] : ((singleton(X0) = 'unordered$upair'(X1,X2) => X0 = X1))). % 16.74/2.77 fof(t9_zfmisc_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ((singleton(X0) = 'unordered$upair'(X1,X2) => X1 = X2))). % 16.74/2.77 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ((singleton(X0) = 'unordered$upair'(X1,X2) => X1 = X2)), inference(negate_conjecture, [status(cth)], [t9_zfmisc_1])). % 16.74/2.77 cnf(c2, plain, 'unordered$upair'(X0,X1) = 'unordered$upair'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_tarski])). % 16.74/2.77 cnf(c8, plain, X0 != singleton(X1) | ~in(X2,X0) | X2 = X1, inference(clausification, [status(esa)], [d1_tarski])). % 16.74/2.77 cnf(c22, plain, X0 != 'unordered$upair'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_tarski])). % 16.74/2.77 cnf(c25, plain, ~X0(X1,X2,X3) | in(X4,X3) | X4 != X1, inference(clausification, [status(esa)], [d2_tarski])). % 16.74/2.77 cnf(c134, plain, singleton(X0) != 'unordered$upair'(X1,X2) | X0 = X1, inference(clausification, [status(esa)], [t8_zfmisc_1])). % 16.74/2.77 cnf(c135, plain, singleton(sK151) = 'unordered$upair'(sK152,sK153), inference(clausification, [status(esa)], [negated_conjecture])). % 16.74/2.77 cnf(c136, plain, sK152 != sK153, inference(clausification, [status(esa)], [negated_conjecture])). % 16.74/2.77 cnf(d0, plain, X0 = X1 | ~in(X0,singleton(X1)), inference(equality_resolution, [status(thm)], [c8])). % 16.74/2.77 cnf(d1, plain, X2 != 'unordered$upair'(X1,X0) | 'Ts23'(X0,X1,X2), inference(superposition, [status(thm)], [c2,c22])). % 16.74/2.77 cnf(d2, plain, singleton(X0) != singleton(sK151) | X0 = sK152, inference(superposition, [status(thm)], [c135,c134])). % 16.74/2.77 cnf(d3, plain, sK151 = sK152, inference(equality_resolution, [status(thm)], [d2])). % 16.74/2.77 cnf(d4, plain, singleton(sK152) = 'unordered$upair'(sK152,sK153), inference(demodulation, [status(thm)], [c135,d3])). % 16.74/2.77 cnf(d5, plain, X0 != singleton(sK152) | 'Ts23'(sK153,sK152,X0), inference(superposition, [status(thm)], [d4,d1])). % 16.74/2.77 cnf(d6, plain, 'Ts23'(sK153,sK152,singleton(sK152)), inference(equality_resolution, [status(thm)], [d5])). % 16.74/2.77 cnf(d7, plain, in(X0,X1) | ~'Ts23'(X0,X2,X1), inference(equality_resolution, [status(thm)], [c25])). % 16.74/2.77 cnf(d8, plain, in(sK153,singleton(sK152)), inference(resolution, [status(thm)], [d7,d6])). % 16.74/2.77 cnf(d9, plain, sK153 = sK152, inference(resolution, [status(thm)], [d8,d0])). % 16.74/2.77 cnf(d10, plain, sK152 != sK152, inference(demodulation, [status(thm)], [c136,d9])). % 16.74/2.77 cnf(d11, plain, $false, inference(equality_resolution, [status(thm)], [d10])). % 16.74/2.77 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------