%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUN066+2 : TPTP v9.3.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n012.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 08:18:54 AM UTC 2026 % Result : Theorem 12.77s 6.97s % Output : CNFRefutation 12.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : NUN066+2 : TPTP v9.3.1. Released v7.3.0. % 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.03/5.32 % Computer : n012.cluster.edu % 0.03/5.32 % Model : x86_64 x86_64 % 0.03/5.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.03/5.32 % Memory : 8046.5625MB % 0.03/5.32 % OS : Linux 6.8.0-71-generic % 0.03/5.32 % CPULimit : 300 % 0.03/5.32 % WCLimit : 300 % 0.03/5.32 % DateTime : Sat Sep 26 04:30:01 UTC 2026 % 0.03/5.32 % CPUTime : % 0.03/5.32 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.77/6.97 % SZS status Theorem for theBenchmark.p % 12.77/6.97 % SZS output start CNFRefutation for theBenchmark.p % 12.77/6.97 fof(axiom_2, axiom, ! [X0] : ? [X1] : ! [X2] : (((~r2(X0,X2) & X2 != X1) | (r2(X0,X2) & X2 = X1)))). % 12.77/6.97 fof(axiom_3a, axiom, ! [X0] : ! [X1] : ((! [X2] : ((! [X3] : ((~r2(X0,X3) | X3 != X2)) | ~r2(X1,X2))) | X0 = X1))). % 12.77/6.97 fof(axiom_4a, axiom, ! [X0] : ? [X1] : ((? [X2] : ((r1(X2) & r3(X0,X2,X1))) & X1 = X0))). % 12.77/6.97 fof(axiom_7a, axiom, ! [X0] : ! [X1] : ((! [X2] : ((~r1(X2) | X2 != X1)) | ~r2(X0,X1)))). % 12.77/6.97 fof(nonzerononetwoexist, conjecture, ? [X0] : ((! [X1] : ((! [X2] : ((! [X3] : ((~r1(X3) | ~r2(X3,X2))) | ~r2(X2,X1))) | X0 != X1)) & ! [X4] : ((~r1(X4) | X0 != X4))))). % 12.77/6.97 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((! [X1] : ((! [X2] : ((! [X3] : ((~r1(X3) | ~r2(X3,X2))) | ~r2(X2,X1))) | X0 != X1)) & ! [X4] : ((~r1(X4) | X0 != X4)))), inference(negate_conjecture, [status(cth)], [nonzerononetwoexist])). % 12.77/6.97 cnf(c6, plain, X0 != sK3(X1) | r2(X1,X0), inference(clausification, [status(esa)], [axiom_2])). % 12.77/6.97 cnf(c26, plain, ~r2(X0,X1) | X1 != X2 | ~r2(X3,X2) | X0 = X3, inference(clausification, [status(esa)], [axiom_3a])). % 12.77/6.97 cnf(c27, plain, r1(sK31(X0)), inference(clausification, [status(esa)], [axiom_4a])). % 12.77/6.97 cnf(c38, plain, ~r1(X0) | X0 != X1 | ~r2(X2,X1), inference(clausification, [status(esa)], [axiom_7a])). % 12.77/6.97 cnf(c39, plain, ~X0(X1) | r1(sK45(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 12.77/6.97 cnf(c40, plain, ~X0(X1) | X1 = sK45(X1), inference(clausification, [status(esa)], [negated_conjecture])). % 12.77/6.97 cnf(c42, plain, X0(X1) | r2(sK48(X1),sK47(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 12.77/6.97 cnf(c43, plain, X0(X1) | r2(sK47(X1),sK46(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 12.77/6.97 cnf(c44, plain, X0(X1) | X1 = sK46(X1), inference(clausification, [status(esa)], [negated_conjecture])). % 12.77/6.97 cnf(d0, plain, r1(X0) | ~'Ts43'(X0) | ~'Ts43'(X0), inference(superposition, [status(thm)], [c40,c39])). % 12.77/6.97 cnf(d1, plain, r2(X0,sK3(X0)), inference(equality_resolution, [status(thm)], [c6])). % 12.77/6.97 cnf(d2, plain, ~r1(X0) | ~r2(X1,X0), inference(equality_resolution, [status(thm)], [c38])). % 12.77/6.97 cnf(d3, plain, ~r1(sK47(X0)) | 'Ts43'(X0), inference(resolution, [status(thm)], [d2,c42])). % 12.77/6.97 cnf(d4, plain, r2(sK47(X0),X0) | 'Ts43'(X0) | 'Ts43'(X0), inference(superposition, [status(thm)], [c44,c43])). % 12.77/6.97 cnf(d5, plain, X0 = X1 | ~r2(X0,X2) | ~r2(X1,X2), inference(equality_resolution, [status(thm)], [c26])). % 12.77/6.97 cnf(d6, plain, sK47(X0) = X1 | ~r2(X1,X0) | 'Ts43'(X0), inference(resolution, [status(thm)], [d5,d4])). % 12.77/6.97 cnf(d7, plain, ~r1(X1) | 'Ts43'(X0) | ~r2(X1,X0) | 'Ts43'(X0), inference(superposition, [status(thm)], [d6,d3])). % 12.77/6.97 cnf(d8, plain, ~r1(X0) | 'Ts43'(sK3(X0)), inference(resolution, [status(thm)], [d7,d1])). % 12.77/6.97 cnf(d9, plain, ~r1(X0) | r1(sK3(X0)), inference(resolution, [status(thm)], [d8,d0])). % 12.77/6.97 cnf(d10, plain, ~r1(sK3(X0)), inference(resolution, [status(thm)], [d2,d1])). % 12.77/6.97 cnf(d11, plain, ~r1(X0), inference(resolution, [status(thm)], [d10,d9])). % 12.77/6.97 cnf(d12, plain, $false, inference(resolution, [status(thm)], [d11,c27])). % 12.77/6.97 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------