%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM385+1 : TPTP v9.3.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n020.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 08:12:38 AM UTC 2026 % Result : Theorem 16.46s 8.77s % Output : CNFRefutation 16.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM385+1 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/5.39 % Computer : n020.cluster.edu % 0.10/5.39 % Model : x86_64 x86_64 % 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/5.39 % Memory : 8046.5625MB % 0.10/5.39 % OS : Linux 6.8.0-71-generic % 0.10/5.39 % CPULimit : 300 % 0.10/5.39 % WCLimit : 300 % 0.10/5.39 % DateTime : Sat Sep 26 02:38:39 UTC 2026 % 0.10/5.39 % CPUTime : % 0.10/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 16.46/8.77 % SZS status Theorem for theBenchmark.p % 16.46/8.77 % SZS output start CNFRefutation for theBenchmark.p % 16.46/8.77 fof(antisymmetry_r2_hidden, axiom, ! [X0] : ! [X1] : ((in(X0,X1) => ~in(X1,X0)))). % 16.46/8.77 fof(d1_ordinal1, axiom, ! [X0] : succ(X0) = 'set$uunion2'(X0,singleton(X0))). % 16.46/8.77 fof(d1_tarski, axiom, ! [X0] : ! [X1] : ((X1 = singleton(X0) <=> ! [X2] : ((in(X2,X1) <=> X2 = X0))))). % 16.46/8.77 fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uunion2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) | in(X3,X1))))))). % 16.46/8.77 fof(t10_ordinal1, axiom, ! [X0] : in(X0,succ(X0))). % 16.46/8.77 fof(t12_ordinal1, conjecture, ! [X0] : ! [X1] : ((succ(X0) = succ(X1) => X0 = X1))). % 16.46/8.77 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((succ(X0) = succ(X1) => X0 = X1)), inference(negate_conjecture, [status(cth)], [t12_ordinal1])). % 16.46/8.77 cnf(c0, plain, ~in(X0,X1) | ~in(X1,X0), inference(clausification, [status(esa)], [antisymmetry_r2_hidden])). % 16.46/8.77 cnf(c7, plain, succ(X0) = 'set$uunion2'(X0,singleton(X0)), inference(clausification, [status(esa)], [d1_ordinal1])). % 16.46/8.77 cnf(c8, plain, X0 != singleton(X1) | ~in(X2,X0) | X2 = X1, inference(clausification, [status(esa)], [d1_tarski])). % 16.46/8.77 cnf(c14, plain, X0 != 'set$uunion2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])). % 16.46/8.77 cnf(c16, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X1) | in(X4,X2), inference(clausification, [status(esa)], [d2_xboole_0])). % 16.46/8.77 cnf(c59, plain, in(X0,succ(X0)), inference(clausification, [status(esa)], [t10_ordinal1])). % 16.46/8.77 cnf(c66, plain, succ(sK50) = succ(sK51), inference(clausification, [status(esa)], [negated_conjecture])). % 16.46/8.77 cnf(c67, plain, sK50 != sK51, inference(clausification, [status(esa)], [negated_conjecture])). % 16.46/8.77 cnf(d0, plain, X0 = X1 | ~in(X0,singleton(X1)), inference(equality_resolution, [status(thm)], [c8])). % 16.46/8.77 cnf(d1, plain, in(sK51,succ(sK50)), inference(superposition, [status(thm)], [c66,c59])). % 16.46/8.77 cnf(d2, plain, X1 != succ(X0) | 'Ts12'(X0,singleton(X0),X1), inference(superposition, [status(thm)], [c7,c14])). % 16.46/8.77 cnf(d3, plain, 'Ts12'(X0,singleton(X0),succ(X0)), inference(equality_resolution, [status(thm)], [d2])). % 16.46/8.77 cnf(d4, plain, in(X0,singleton(X1)) | in(X0,X1) | ~in(X0,succ(X1)), inference(resolution, [status(thm)], [d3,c16])). % 16.46/8.77 cnf(d5, plain, in(sK51,sK50) | in(sK51,singleton(sK50)), inference(resolution, [status(thm)], [d4,d1])). % 16.46/8.77 cnf(d6, plain, X0 != succ(sK50) | 'Ts12'(sK51,singleton(sK51),X0), inference(superposition, [status(thm)], [c66,d2])). % 16.46/8.77 cnf(d7, plain, 'Ts12'(sK51,singleton(sK51),succ(sK50)), inference(equality_resolution, [status(thm)], [d6])). % 16.46/8.77 cnf(d8, plain, in(X0,singleton(sK51)) | in(X0,sK51) | ~in(X0,succ(sK50)), inference(resolution, [status(thm)], [d7,c16])). % 16.46/8.77 cnf(d9, plain, in(sK50,singleton(sK51)) | in(sK50,sK51), inference(resolution, [status(thm)], [d8,c59])). % 16.46/8.77 cnf(d10, plain, in(sK50,sK51) | sK50 = sK51, inference(resolution, [status(thm)], [d9,d0])). % 16.46/8.77 cnf(d11, plain, in(sK50,sK51), inference(resolution, [status(thm)], [c67,d10])). % 16.46/8.77 cnf(d12, plain, ~in(sK51,sK50), inference(resolution, [status(thm)], [d11,c0])). % 16.46/8.77 cnf(d13, plain, in(sK51,singleton(sK50)), inference(resolution, [status(thm)], [d12,d5])). % 16.46/8.77 cnf(d14, plain, sK51 = sK50, inference(resolution, [status(thm)], [d13,d0])). % 16.46/8.77 cnf(d15, plain, sK50 != sK50, inference(demodulation, [status(thm)], [c67,d14])). % 16.46/8.77 cnf(d16, plain, $false, inference(equality_resolution, [status(thm)], [d15])). % 16.46/8.77 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------