0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : casc-portfolio.sh -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.41 % Computer : n009.cluster.edu 0.16/0.41 % Model : x86_64 x86_64 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.41 % Memory : 8046.5625MB 0.16/0.41 % OS : Linux 6.8.0-71-generic 0.16/0.41 % CPULimit : 1440 0.16/0.41 % WCLimit : 180 0.16/0.41 % DateTime : Mon Jul 27 10:23:43 UTC 2026 0.16/0.41 % CPUTime : 0.16/0.41 Running casc-portfolio.sh -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 14.98/3.80 % SZS status Theorem for theBenchmark.p 14.98/3.80 % SZS output start CNFRefutation for theBenchmark.p 14.98/3.80 fof(axiom_2, axiom, ! [X0] : ? [X1] : ! [X2] : (((~id(X2,X1) & ~r2(X0,X2)) | (id(X2,X1) & r2(X0,X2))))). 14.98/3.80 fof(axiom_7, axiom, ! [X0] : ! [X1] : ! [X2] : ((~id(X0,X1) | (id(X0,X2) | ~id(X1,X2))))). 14.98/3.80 fof(axiom_2a, axiom, ! [X0] : ! [X1] : ? [X2] : ((? [X3] : ((? [X4] : ((r2(X1,X4) & r4(X0,X4,X3))) & id(X3,X2))) & ? [X5] : ((r4(X0,X1,X5) & r3(X5,X0,X2)))))). 14.98/3.80 fof(axiom_8, axiom, ! [X0] : ! [X1] : ((~id(X0,X1) | ((r1(X1) & r1(X0)) | (~r1(X0) & ~r1(X1)))))). 14.98/3.80 fof(axiom_7a, axiom, ! [X0] : ! [X1] : ((~r2(X0,X1) | ! [X2] : ((~id(X2,X1) | ~r1(X2)))))). 14.98/3.80 fof(axiom_3a, axiom, ! [X0] : ! [X1] : ((id(X0,X1) | ! [X2] : ((! [X3] : ((~r2(X0,X3) | ~id(X3,X2))) | ~r2(X1,X2)))))). 14.98/3.80 fof(axiom_5, axiom, ! [X0] : id(X0,X0)). 14.98/3.80 fof(axiom_4a, axiom, ! [X0] : ? [X1] : ((id(X1,X0) & ? [X2] : ((r1(X2) & r3(X0,X2,X1)))))). 14.98/3.80 fof(axiom_1, axiom, ? [X0] : ! [X1] : (((~r1(X1) & ~id(X1,X0)) | (id(X1,X0) & r1(X1))))). 14.98/3.80 fof(axiom_6, axiom, ! [X0] : ! [X1] : ((id(X1,X0) | ~id(X0,X1)))). 14.98/3.80 fof(nonzerononetwoexistid, conjecture, ? [X0] : ((! [X1] : ((! [X2] : ((! [X3] : ((~r1(X3) | ~r2(X3,X2))) | ~r2(X2,X1))) | ~id(X0,X1))) & ! [X4] : ((~r1(X4) | ~id(X0,X4)))))). 14.98/3.80 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((! [X1] : ((! [X2] : ((! [X3] : ((~r1(X3) | ~r2(X3,X2))) | ~r2(X2,X1))) | ~id(X0,X1))) & ! [X4] : ((~r1(X4) | ~id(X0,X4))))), inference(negate_conjecture, [status(cth)], [nonzerononetwoexistid])). 14.98/3.80 cnf(c1, plain, ~id(X0,sK1(X1)) | r2(X1,X0), inference(clausification, [status(esa)], [axiom_2])). 14.98/3.80 cnf(c2, plain, ~r2(X0,X1) | id(X1,sK1(X0)), inference(clausification, [status(esa)], [axiom_2])). 14.98/3.80 cnf(c4, plain, ~id(X0,X1) | id(X0,X2) | ~id(X1,X2), inference(clausification, [status(esa)], [axiom_7])). 14.98/3.80 cnf(c9, plain, r2(X0,sK14(X1,X0)), inference(clausification, [status(esa)], [axiom_2a])). 14.98/3.80 cnf(c14, plain, ~id(X0,X1) | r1(X1) | ~r1(X0), inference(clausification, [status(esa)], [axiom_8])). 14.98/3.80 cnf(c18, plain, ~r2(X0,X1) | ~id(X2,X1) | ~r1(X2), inference(clausification, [status(esa)], [axiom_7a])). 14.98/3.80 cnf(c19, plain, id(X0,X1) | ~r2(X0,X2) | ~id(X2,X3) | ~r2(X1,X3), inference(clausification, [status(esa)], [axiom_3a])). 14.98/3.80 cnf(c28, plain, id(X0,X0), inference(clausification, [status(esa)], [axiom_5])). 14.98/3.80 cnf(c30, plain, r1(sK36(X0)), inference(clausification, [status(esa)], [axiom_4a])). 14.98/3.80 cnf(c36, plain, ~r1(X0) | id(X0,sK43), inference(clausification, [status(esa)], [axiom_1])). 14.98/3.80 cnf(c53, plain, id(X0,X1) | ~id(X1,X0), inference(clausification, [status(esa)], [axiom_6])). 14.98/3.80 cnf(c58, plain, ~X0(X1) | r1(sK69(X1)), inference(clausification, [status(esa)], [negated_conjecture])). 14.98/3.80 cnf(c59, plain, ~X0(X1) | id(X1,sK69(X1)), inference(clausification, [status(esa)], [negated_conjecture])). 14.98/3.80 cnf(c61, plain, X0(X1) | r2(sK72(X1),sK71(X1)), inference(clausification, [status(esa)], [negated_conjecture])). 14.98/3.80 cnf(c62, plain, X0(X1) | r2(sK71(X1),sK70(X1)), inference(clausification, [status(esa)], [negated_conjecture])). 14.98/3.80 cnf(c63, plain, X0(X1) | id(X1,sK70(X1)), inference(clausification, [status(esa)], [negated_conjecture])). 14.98/3.80 cnf(d0, plain, ~id(X0,sK71(X1)) | ~r1(X0) | 'Ts67'(X1), inference(resolution, [status(thm)], [c18,c61])). 14.98/3.80 cnf(d1, plain, r2(X0,sK1(X0)), inference(resolution, [status(thm)], [c28,c1])). 14.98/3.80 cnf(d2, plain, 'Ts67'(X0) | ~id(sK70(X0),X1) | id(X0,X1), inference(resolution, [status(thm)], [c63,c4])). 14.98/3.80 cnf(d3, plain, id(X0,sK1(X1)) | 'Ts67'(X0) | ~r2(X1,sK70(X0)), inference(resolution, [status(thm)], [d2,c2])). 14.98/3.80 cnf(d4, plain, id(X0,sK1(sK71(X0))) | 'Ts67'(X0) | 'Ts67'(X0), inference(resolution, [status(thm)], [d3,c62])). 14.98/3.80 cnf(d5, plain, ~id(sK14(X0,X1),X2) | id(X1,X3) | ~r2(X3,X2), inference(resolution, [status(thm)], [c19,c9])). 14.98/3.80 cnf(d6, plain, id(X0,X1) | ~r2(X1,sK1(sK71(sK14(X2,X0)))) | 'Ts67'(sK14(X2,X0)), inference(resolution, [status(thm)], [d5,d4])). 14.98/3.80 cnf(d7, plain, ~id(sK69(X0),X1) | id(X0,X1) | ~'Ts67'(X0), inference(resolution, [status(thm)], [c4,c59])). 14.98/3.80 cnf(d8, plain, ~r1(sK69(X0)) | id(X0,sK43) | ~'Ts67'(X0), inference(resolution, [status(thm)], [c36,d7])). 14.98/3.80 cnf(d9, plain, id(X0,sK43) | ~'Ts67'(X0) | ~'Ts67'(X0), inference(resolution, [status(thm)], [d8,c58])). 14.98/3.80 cnf(d10, plain, id(sK43,X0) | ~'Ts67'(X0), inference(resolution, [status(thm)], [c53,d9])). 14.98/3.80 cnf(d11, plain, ~id(X0,sK14(X1,X2)) | ~r1(X0), inference(resolution, [status(thm)], [c18,c9])). 14.98/3.80 cnf(d12, plain, ~r1(sK43) | ~'Ts67'(sK14(X0,X1)), inference(resolution, [status(thm)], [d11,d10])). 14.98/3.80 cnf(d13, plain, ~id(X0,sK70(X1)) | ~r1(X0) | 'Ts67'(X1), inference(resolution, [status(thm)], [c18,c62])). 14.98/3.80 cnf(d14, plain, ~r1(X0) | 'Ts67'(X0) | 'Ts67'(X0), inference(resolution, [status(thm)], [d13,c63])). 14.98/3.80 cnf(d15, plain, 'Ts67'(sK36(X0)), inference(resolution, [status(thm)], [c30,d14])). 14.98/3.80 cnf(d16, plain, ~'Ts67'(X0) | r1(sK43) | ~r1(X0), inference(resolution, [status(thm)], [d9,c14])). 14.98/3.80 cnf(d17, plain, ~r1(sK36(X0)) | r1(sK43), inference(resolution, [status(thm)], [d16,d15])). 14.98/3.80 cnf(d18, plain, r1(sK43), inference(resolution, [status(thm)], [c30,d17])). 14.98/3.80 cnf(d19, plain, ~'Ts67'(sK14(X0,X1)), inference(resolution, [status(thm)], [d18,d12])). 14.98/3.80 cnf(d20, plain, id(X0,X1) | ~r2(X1,sK1(sK71(sK14(X2,X0)))), inference(resolution, [status(thm)], [d19,d6])). 14.98/3.80 cnf(d21, plain, id(X0,sK71(sK14(X1,X0))), inference(resolution, [status(thm)], [d20,d1])). 14.98/3.80 cnf(d22, plain, ~r1(X0) | 'Ts67'(sK14(X1,X0)), inference(resolution, [status(thm)], [d21,d0])). 14.98/3.80 cnf(d23, plain, ~r1(X0), inference(resolution, [status(thm)], [d19,d22])). 14.98/3.80 cnf(d24, plain, $false, inference(resolution, [status(thm)], [d23,c30])). 14.98/3.80 % SZS output end CNFRefutation for theBenchmark.p 15.34/3.80 EOF