%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUN068+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 : 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 08:18:54 AM UTC 2026 % Result : Theorem 12.63s 1.96s % Output : CNFRefutation 12.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUN068+2 : TPTP v9.3.1. Released v7.3.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.08/0.35 % Computer : n001.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 26 04:35:28 UTC 2026 % 0.08/0.35 % CPUTime : % 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.63/1.96 % SZS status Theorem for theBenchmark.p % 12.63/1.96 % SZS output start CNFRefutation for theBenchmark.p % 12.63/1.96 fof(axiom_1, axiom, ? [X0] : ! [X1] : (((~r1(X1) & X1 != X0) | (r1(X1) & X1 = X0)))). % 12.63/1.96 fof(axiom_2, axiom, ! [X0] : ? [X1] : ! [X2] : (((~r2(X0,X2) & X2 != X1) | (r2(X0,X2) & X2 = X1)))). % 12.63/1.96 fof(axiom_3a, axiom, ! [X0] : ! [X1] : ((! [X2] : ((! [X3] : ((~r2(X0,X3) | X3 != X2)) | ~r2(X1,X2))) | X0 = X1))). % 12.63/1.96 fof(axiom_7a, axiom, ! [X0] : ! [X1] : ((! [X2] : ((~r1(X2) | X2 != X1)) | ~r2(X0,X1)))). % 12.63/1.96 fof(nonzerosnononesexist, conjecture, ? [X0] : ((! [X1] : ((! [X2] : ((~r1(X2) | ~r2(X2,X1))) | X0 != X1)) & ! [X3] : ((~r1(X3) | X0 != X3))))). % 12.63/1.96 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((! [X1] : ((! [X2] : ((~r1(X2) | ~r2(X2,X1))) | X0 != X1)) & ! [X3] : ((~r1(X3) | X0 != X3)))), inference(negate_conjecture, [status(cth)], [nonzerosnononesexist])). % 12.63/1.96 cnf(c1, plain, ~r1(X0) | X0 = sK0, inference(clausification, [status(esa)], [axiom_1])). % 12.63/1.96 cnf(c2, plain, X0 != sK0 | r1(X0), inference(clausification, [status(esa)], [axiom_1])). % 12.63/1.96 cnf(c5, plain, ~r2(X0,X1) | X1 = sK3(X0), inference(clausification, [status(esa)], [axiom_2])). % 12.63/1.96 cnf(c6, plain, X0 != sK3(X1) | r2(X1,X0), inference(clausification, [status(esa)], [axiom_2])). % 12.63/1.96 cnf(c26, plain, ~r2(X0,X1) | X1 != X2 | ~r2(X3,X2) | X0 = X3, inference(clausification, [status(esa)], [axiom_3a])). % 12.63/1.96 cnf(c38, plain, ~r1(X0) | X0 != X1 | ~r2(X2,X1), inference(clausification, [status(esa)], [axiom_7a])). % 12.63/1.96 cnf(c39, plain, ~X0(X1) | r1(sK45(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 12.63/1.96 cnf(c40, plain, ~X0(X1) | X1 = sK45(X1), inference(clausification, [status(esa)], [negated_conjecture])). % 12.63/1.96 cnf(c41, plain, X0(X1) | r1(sK47(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 12.63/1.96 cnf(c42, plain, X0(X1) | r2(sK47(X1),sK46(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 12.63/1.96 cnf(c43, plain, X0(X1) | X1 = sK46(X1), inference(clausification, [status(esa)], [negated_conjecture])). % 12.63/1.96 cnf(d0, plain, r2(X0,sK3(X0)), inference(equality_resolution, [status(thm)], [c6])). % 12.63/1.96 cnf(d1, plain, ~r1(X0) | ~r2(X1,X0), inference(equality_resolution, [status(thm)], [c38])). % 12.63/1.96 cnf(d2, plain, r1(sK0), inference(equality_resolution, [status(thm)], [c2])). % 12.63/1.96 cnf(d3, plain, ~'Ts43'(X0) | sK45(X0) = sK0, inference(resolution, [status(thm)], [c39,c1])). % 12.63/1.96 cnf(d4, plain, sK45(X0) = sK0 | X0 = sK46(X0), inference(resolution, [status(thm)], [d3,c43])). % 12.63/1.96 cnf(d5, plain, 'Ts43'(X0) | sK46(X0) = sK3(sK47(X0)), inference(resolution, [status(thm)], [c42,c5])). % 12.63/1.96 cnf(d6, plain, sK46(X0) = sK3(sK47(X0)) | sK45(X0) = sK0, inference(resolution, [status(thm)], [d5,d3])). % 12.63/1.96 cnf(d7, plain, sK47(X0) = sK0 | 'Ts43'(X0), inference(resolution, [status(thm)], [c1,c41])). % 12.63/1.96 cnf(d8, plain, sK45(X0) = sK0 | sK47(X0) = sK0, inference(resolution, [status(thm)], [d3,d7])). % 12.63/1.96 cnf(d9, plain, sK46(X0) = sK3(sK0) | sK45(X0) = sK0 | sK45(X0) = sK0, inference(superposition, [status(thm)], [d8,d6])). % 12.63/1.96 cnf(d10, plain, X0 = sK3(sK0) | sK45(X0) = sK0 | sK45(X0) = sK0, inference(superposition, [status(thm)], [d9,d4])). % 12.63/1.96 cnf(d11, plain, X0 = sK45(X0) | X0 = sK46(X0), inference(resolution, [status(thm)], [c40,c43])). % 12.63/1.96 cnf(d12, plain, sK46(X0) = sK3(sK47(X0)) | X0 = sK45(X0), inference(resolution, [status(thm)], [d5,c40])). % 12.63/1.96 cnf(d13, plain, sK47(X0) = sK0 | X0 = sK45(X0), inference(resolution, [status(thm)], [d7,c40])). % 12.63/1.96 cnf(d14, plain, sK46(X0) = sK3(sK0) | X0 = sK45(X0) | X0 = sK45(X0), inference(superposition, [status(thm)], [d13,d12])). % 12.63/1.96 cnf(d15, plain, X0 = sK3(sK0) | X0 = sK45(X0) | X0 = sK45(X0), inference(superposition, [status(thm)], [d14,d11])). % 12.63/1.96 cnf(d16, plain, X0 = sK0 | X0 = sK3(sK0) | X0 = sK3(sK0), inference(superposition, [status(thm)], [d15,d10])). % 12.63/1.96 cnf(d17, plain, r2(sK0,X0) | X0 = sK0, inference(superposition, [status(thm)], [d16,d0])). % 12.63/1.96 cnf(d18, plain, X0 = X1 | ~r2(X0,X2) | ~r2(X1,X2), inference(equality_resolution, [status(thm)], [c26])). % 12.63/1.96 cnf(d19, plain, sK0 = X0 | ~r2(X0,X1) | X1 = sK0, inference(resolution, [status(thm)], [d18,d17])). % 12.63/1.96 cnf(d20, plain, sK3(X0) = sK0 | sK0 = X0, inference(resolution, [status(thm)], [d19,d0])). % 12.63/1.96 cnf(d21, plain, r2(X0,sK0) | sK0 = X0, inference(superposition, [status(thm)], [d20,d0])). % 12.63/1.96 cnf(d22, plain, ~r1(sK0) | sK0 = X0, inference(resolution, [status(thm)], [d1,d21])). % 12.63/1.96 cnf(d23, plain, sK0 = X0, inference(resolution, [status(thm)], [d2,d22])). % 12.63/1.96 cnf(d24, plain, r1(X0), inference(superposition, [status(thm)], [d23,d2])). % 12.63/1.96 cnf(d25, plain, ~r2(X0,X1), inference(resolution, [status(thm)], [d24,d1])). % 12.63/1.96 cnf(d26, plain, $false, inference(resolution, [status(thm)], [d25,d0])). % 12.63/1.96 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------