%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUN068+1 : TPTP v9.3.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n003.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 36.61s 5.80s % Output : CNFRefutation 36.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : NUN068+1 : TPTP v9.3.1. Released v7.3.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.13/0.40 % Computer : n003.cluster.edu % 0.13/0.40 % Model : x86_64 x86_64 % 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.40 % Memory : 8046.5625MB % 0.13/0.40 % OS : Linux 6.8.0-71-generic % 0.13/0.40 % CPULimit : 300 % 0.13/0.40 % WCLimit : 300 % 0.13/0.40 % DateTime : Sat Sep 26 04:31:39 UTC 2026 % 0.13/0.40 % CPUTime : % 0.13/0.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 36.61/5.80 % SZS status Theorem for theBenchmark.p % 36.61/5.80 % SZS output start CNFRefutation for theBenchmark.p % 36.61/5.80 fof(axiom_1, axiom, ? [X0] : ! [X1] : (((id(X1,X0) & r1(X1)) | (~r1(X1) & ~id(X1,X0))))). % 36.61/5.80 fof(axiom_2, axiom, ! [X0] : ? [X1] : ! [X2] : (((id(X2,X1) & r2(X0,X2)) | (~r2(X0,X2) & ~id(X2,X1))))). % 36.61/5.80 fof(axiom_5, axiom, ! [X0] : id(X0,X0)). % 36.61/5.80 fof(axiom_6, axiom, ! [X0] : ! [X1] : ((~id(X0,X1) | id(X1,X0)))). % 36.61/5.80 fof(axiom_7, axiom, ! [X0] : ! [X1] : ! [X2] : ((~id(X0,X1) | (id(X0,X2) | ~id(X1,X2))))). % 36.61/5.80 fof(axiom_3a, axiom, ! [X0] : ! [X1] : ((! [X2] : ((! [X3] : ((~id(X3,X2) | ~r2(X0,X3))) | ~r2(X1,X2))) | id(X0,X1)))). % 36.61/5.80 fof(axiom_7a, axiom, ! [X0] : ! [X1] : ((! [X2] : ((~id(X2,X1) | ~r1(X2))) | ~r2(X0,X1)))). % 36.61/5.80 fof(nonzerosnononesexistid, conjecture, ? [X0] : ((! [X1] : ((! [X2] : ((~r1(X2) | ~r2(X2,X1))) | ~id(X0,X1))) & ! [X3] : ((~id(X0,X3) | ~r1(X3)))))). % 36.61/5.80 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((! [X1] : ((! [X2] : ((~r1(X2) | ~r2(X2,X1))) | ~id(X0,X1))) & ! [X3] : ((~id(X0,X3) | ~r1(X3))))), inference(negate_conjecture, [status(cth)], [nonzerosnononesexistid])). % 36.61/5.80 cnf(c0, plain, id(X0,sK0) | ~r1(X0), inference(clausification, [status(esa)], [axiom_1])). % 36.61/5.80 cnf(c3, plain, r1(X0) | ~id(X0,sK0), inference(clausification, [status(esa)], [axiom_1])). % 36.61/5.80 cnf(c7, plain, r2(X0,X1) | ~id(X1,sK3(X0)), inference(clausification, [status(esa)], [axiom_2])). % 36.61/5.80 cnf(c16, plain, id(X0,X0), inference(clausification, [status(esa)], [axiom_5])). % 36.61/5.80 cnf(c17, plain, ~id(X0,X1) | id(X1,X0), inference(clausification, [status(esa)], [axiom_6])). % 36.61/5.80 cnf(c18, plain, ~id(X0,X1) | id(X0,X2) | ~id(X1,X2), inference(clausification, [status(esa)], [axiom_7])). % 36.61/5.80 cnf(c45, plain, ~id(X0,X1) | ~r2(X2,X0) | ~r2(X3,X1) | id(X2,X3), inference(clausification, [status(esa)], [axiom_3a])). % 36.61/5.80 cnf(c57, plain, ~id(X0,X1) | ~r1(X0) | ~r2(X2,X1), inference(clausification, [status(esa)], [axiom_7a])). % 36.61/5.80 cnf(c58, plain, ~X0(X1) | id(X1,sK69(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 36.61/5.80 cnf(c59, plain, ~X0(X1) | r1(sK69(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 36.61/5.80 cnf(c60, plain, X0(X1) | r1(sK71(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 36.61/5.80 cnf(c61, plain, X0(X1) | r2(sK71(X1),sK70(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 36.61/5.80 cnf(c62, plain, X0(X1) | id(X1,sK70(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 36.61/5.80 cnf(d0, plain, r2(X0,sK3(X0)), inference(resolution, [status(thm)], [c7,c16])). % 36.61/5.80 cnf(d1, plain, ~r1(X0) | ~id(X0,sK3(X1)), inference(resolution, [status(thm)], [c57,d0])). % 36.61/5.80 cnf(d2, plain, id(sK70(X0),X0) | 'Ts67'(X0), inference(resolution, [status(thm)], [c17,c62])). % 36.61/5.80 cnf(d3, plain, r2(X0,sK70(sK3(X0))) | 'Ts67'(sK3(X0)), inference(resolution, [status(thm)], [c7,d2])). % 36.61/5.80 cnf(d4, plain, id(X0,X1) | ~id(sK70(sK3(X0)),X2) | ~r2(X1,X2) | 'Ts67'(sK3(X0)), inference(resolution, [status(thm)], [c45,d3])). % 36.61/5.80 cnf(d5, plain, id(sK69(X0),X0) | ~'Ts67'(X0), inference(resolution, [status(thm)], [c17,c58])). % 36.61/5.80 cnf(d6, plain, id(sK0,X0) | ~r1(X0), inference(resolution, [status(thm)], [c17,c0])). % 36.61/5.80 cnf(d7, plain, id(X0,X1) | ~id(X0,sK69(X1)) | ~'Ts67'(X1), inference(resolution, [status(thm)], [c18,d5])). % 36.61/5.80 cnf(d8, plain, id(sK0,X0) | ~'Ts67'(X0) | ~r1(sK69(X0)), inference(resolution, [status(thm)], [d7,d6])). % 36.61/5.80 cnf(d9, plain, id(sK0,X0) | ~'Ts67'(X0) | ~'Ts67'(X0), inference(resolution, [status(thm)], [d8,c59])). % 36.61/5.80 cnf(d10, plain, ~'Ts67'(X0) | id(X0,sK0), inference(resolution, [status(thm)], [d9,c17])). % 36.61/5.80 cnf(d11, plain, ~'Ts67'(X0) | id(X1,sK0) | ~id(X1,X0), inference(resolution, [status(thm)], [d10,c18])). % 36.61/5.80 cnf(d12, plain, id(sK69(X0),sK0) | ~'Ts67'(X0) | ~'Ts67'(X0), inference(resolution, [status(thm)], [d11,d5])). % 36.61/5.80 cnf(d13, plain, ~'Ts67'(X0) | id(sK0,sK69(X0)), inference(resolution, [status(thm)], [d12,c17])). % 36.61/5.80 cnf(d14, plain, r2(X0,sK69(sK3(X0))) | ~'Ts67'(sK3(X0)), inference(resolution, [status(thm)], [c7,d5])). % 36.61/5.80 cnf(d15, plain, ~r1(X0) | ~id(X0,sK69(sK3(X1))) | ~'Ts67'(sK3(X1)), inference(resolution, [status(thm)], [c57,d14])). % 36.61/5.80 cnf(d16, plain, ~r1(sK0) | ~'Ts67'(sK3(X0)) | ~'Ts67'(sK3(X0)), inference(resolution, [status(thm)], [d15,d13])). % 36.61/5.80 cnf(d17, plain, r1(sK0), inference(resolution, [status(thm)], [c3,c16])). % 36.61/5.80 cnf(d18, plain, ~'Ts67'(sK3(X0)), inference(resolution, [status(thm)], [d17,d16])). % 36.61/5.80 cnf(d19, plain, id(X0,X1) | ~id(sK70(sK3(X0)),X2) | ~r2(X1,X2), inference(resolution, [status(thm)], [d18,d4])). % 36.61/5.80 cnf(d20, plain, id(X0,X1) | ~r2(X1,sK70(sK3(X0))), inference(resolution, [status(thm)], [d19,c16])). % 36.61/5.80 cnf(d21, plain, id(X0,sK71(sK3(X0))) | 'Ts67'(sK3(X0)), inference(resolution, [status(thm)], [d20,c61])). % 36.61/5.80 cnf(d22, plain, id(X0,sK71(sK3(X0))), inference(resolution, [status(thm)], [d18,d21])). % 36.61/5.80 cnf(d23, plain, id(sK71(sK3(X0)),X0), inference(resolution, [status(thm)], [d22,c17])). % 36.61/5.80 cnf(d24, plain, ~r1(sK71(sK3(sK3(X0)))), inference(resolution, [status(thm)], [d23,d1])). % 36.61/5.80 cnf(d25, plain, 'Ts67'(sK3(sK3(X0))), inference(resolution, [status(thm)], [d24,c60])). % 36.61/5.80 cnf(d26, plain, $false, inference(resolution, [status(thm)], [d18,d25])). % 36.61/5.80 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------