%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SEU142+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 : n018.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 08:41:00 AM UTC 2026 % Result : Theorem 10.54s 2.02s % Output : CNFRefutation 10.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SEU142+1 : TPTP v9.3.1. Released v3.3.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/0.36 % Computer : n018.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 26 08:42:07 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.54/2.02 % SZS status Theorem for theBenchmark.p % 10.54/2.02 % SZS output start CNFRefutation for theBenchmark.p % 10.54/2.02 fof(d1_tarski, axiom, ! [X0] : ! [X1] : ((X1 = singleton(X0) <=> ! [X2] : ((in(X2,X1) <=> X2 = X0))))). % 10.54/2.02 fof(d2_tarski, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'unordered$upair'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (X3 = X0 | X3 = X1)))))). % 10.54/2.02 fof(t69_enumset1, conjecture, ! [X0] : 'unordered$upair'(X0,X0) = singleton(X0)). % 10.54/2.02 fof(negated_conjecture, negated_conjecture, ~! [X0] : 'unordered$upair'(X0,X0) = singleton(X0), inference(negate_conjecture, [status(cth)], [t69_enumset1])). % 10.54/2.02 cnf(c5, plain, X0 = singleton(X1) | in(sK7(X1,X0),X0) | sK7(X1,X0) = X1, inference(clausification, [status(esa)], [d1_tarski])). % 10.54/2.02 cnf(c6, plain, X0 = singleton(X1) | sK7(X1,X0) != X1 | ~in(sK7(X1,X0),X0), inference(clausification, [status(esa)], [d1_tarski])). % 10.54/2.02 cnf(c8, plain, X0 != 'unordered$upair'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_tarski])). % 10.54/2.02 cnf(c10, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | X4 = X1 | X4 = X2, inference(clausification, [status(esa)], [d2_tarski])). % 10.54/2.02 cnf(c11, plain, ~X0(X1,X2,X3) | in(X4,X3) | X4 != X1, inference(clausification, [status(esa)], [d2_tarski])). % 10.54/2.02 cnf(c23, plain, 'unordered$upair'(sK17,sK17) != singleton(sK17), inference(clausification, [status(esa)], [negated_conjecture])). % 10.54/2.02 cnf(d0, plain, 'Ts8'(X0,X1,'unordered$upair'(X0,X1)), inference(equality_resolution, [status(thm)], [c8])). % 10.54/2.02 cnf(d1, plain, X0 = X1 | X0 = X2 | ~in(X0,'unordered$upair'(X2,X1)), inference(resolution, [status(thm)], [c10,d0])). % 10.54/2.02 cnf(d2, plain, sK7(X0,'unordered$upair'(X1,X2)) = X1 | sK7(X0,'unordered$upair'(X1,X2)) = X2 | 'unordered$upair'(X1,X2) = singleton(X0) | sK7(X0,'unordered$upair'(X1,X2)) = X0, inference(resolution, [status(thm)], [d1,c5])). % 10.54/2.02 cnf(d3, plain, X2 != X1 | 'unordered$upair'(X1,X2) = singleton(X0) | sK7(X0,'unordered$upair'(X1,X2)) = X1 | sK7(X0,'unordered$upair'(X1,X2)) = X0, inference(equality_factoring, [status(thm)], [d2])). % 10.54/2.02 cnf(d4, plain, 'unordered$upair'(X0,X0) = singleton(X1) | sK7(X1,'unordered$upair'(X0,X0)) = X0 | sK7(X1,'unordered$upair'(X0,X0)) = X1, inference(equality_resolution, [status(thm)], [d3])). % 10.54/2.02 cnf(d5, plain, X0 != X1 | 'unordered$upair'(X1,X1) = singleton(X0) | sK7(X0,'unordered$upair'(X1,X1)) = X1, inference(equality_factoring, [status(thm)], [d4])). % 10.54/2.02 cnf(d6, plain, 'unordered$upair'(X0,X0) = singleton(X0) | sK7(X0,'unordered$upair'(X0,X0)) = X0, inference(equality_resolution, [status(thm)], [d5])). % 10.54/2.02 cnf(d7, plain, X0 != X0 | 'unordered$upair'(X0,X0) = singleton(X0) | ~in(sK7(X0,'unordered$upair'(X0,X0)),'unordered$upair'(X0,X0)) | 'unordered$upair'(X0,X0) = singleton(X0), inference(superposition, [status(thm)], [d6,c6])). % 10.54/2.02 cnf(d8, plain, 'unordered$upair'(X0,X0) = singleton(X0) | ~in(sK7(X0,'unordered$upair'(X0,X0)),'unordered$upair'(X0,X0)), inference(equality_resolution, [status(thm)], [d7])). % 10.54/2.02 cnf(d9, plain, ~in(X0,'unordered$upair'(X0,X0)) | 'unordered$upair'(X0,X0) = singleton(X0) | 'unordered$upair'(X0,X0) = singleton(X0), inference(superposition, [status(thm)], [d6,d8])). % 10.54/2.02 cnf(d10, plain, in(X0,X1) | ~'Ts8'(X0,X2,X1), inference(equality_resolution, [status(thm)], [c11])). % 10.54/2.02 cnf(d11, plain, in(X0,'unordered$upair'(X0,X1)), inference(resolution, [status(thm)], [d10,d0])). % 10.54/2.02 cnf(d12, plain, 'unordered$upair'(X0,X0) = singleton(X0), inference(resolution, [status(thm)], [d11,d9])). % 10.54/2.02 cnf(d13, plain, $false, inference(resolution, [status(thm)], [d12,c23])). % 10.54/2.02 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------