0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : casc-portfolio.sh -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.07/0.34 % Computer : n004.cluster.edu 0.07/0.34 % Model : x86_64 x86_64 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.07/0.34 % Memory : 8046.5625MB 0.07/0.34 % OS : Linux 6.8.0-71-generic 0.07/0.34 % CPULimit : 1440 0.07/0.34 % WCLimit : 180 0.07/0.34 % DateTime : Mon Jul 27 10:13:23 UTC 2026 0.07/0.35 % CPUTime : 0.07/0.35 Running casc-portfolio.sh -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 48.24/7.00 % SZS status Theorem for theBenchmark.p 48.24/7.00 % SZS output start CNFRefutation for theBenchmark.p 48.24/7.00 fof(axiom_2, axiom, ! [X0] : ? [X1] : ! [X2] : (((~id(X2,X1) & ~r2(X0,X2)) | (id(X2,X1) & r2(X0,X2))))). 48.24/7.00 fof(axiom_7, axiom, ! [X0] : ! [X1] : ! [X2] : ((~id(X0,X1) | (id(X0,X2) | ~id(X1,X2))))). 48.24/7.00 fof(axiom_8, axiom, ! [X0] : ! [X1] : ((~id(X0,X1) | ((r1(X1) & r1(X0)) | (~r1(X0) & ~r1(X1)))))). 48.24/7.00 fof(axiom_7a, axiom, ! [X0] : ! [X1] : ((~r2(X0,X1) | ! [X2] : ((~id(X2,X1) | ~r1(X2)))))). 48.24/7.00 fof(axiom_9, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((~id(X0,X2) | (~id(X1,X3) | ((~r2(X2,X3) & ~r2(X0,X1)) | (r2(X2,X3) & r2(X0,X1))))))). 48.24/7.00 fof(axiom_3, axiom, ! [X0] : ! [X1] : ? [X2] : ! [X3] : (((r3(X0,X1,X3) & id(X3,X2)) | (~r3(X0,X1,X3) & ~id(X3,X2))))). 48.24/7.00 fof(axiom_5, axiom, ! [X0] : id(X0,X0)). 48.24/7.00 fof(axiom_4a, axiom, ! [X0] : ? [X1] : ((id(X1,X0) & ? [X2] : ((r1(X2) & r3(X0,X2,X1)))))). 48.24/7.00 fof(axiom_10, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : ((~id(X1,X4) | (~id(X2,X5) | ((r3(X0,X1,X2) & r3(X3,X4,X5)) | ((~r3(X0,X1,X2) & ~r3(X3,X4,X5)) | ~id(X0,X3))))))). 48.24/7.00 fof(axiom_1, axiom, ? [X0] : ! [X1] : (((~r1(X1) & ~id(X1,X0)) | (id(X1,X0) & r1(X1))))). 48.24/7.00 fof(axiom_1a, axiom, ! [X0] : ! [X1] : ? [X2] : ((? [X3] : ((? [X4] : ((r3(X0,X4,X3) & r2(X1,X4))) & id(X3,X2))) & ? [X5] : ((r3(X0,X1,X5) & r2(X5,X2)))))). 48.24/7.00 fof(axiom_6, axiom, ! [X0] : ! [X1] : ((id(X1,X0) | ~id(X0,X1)))). 48.24/7.00 fof(zeroplusoneidzero, conjecture, ! [X0] : ((! [X1] : ((~id(X0,X1) | ~r1(X1))) | ! [X2] : ((! [X3] : ((~r2(X3,X2) | ~r1(X3))) | ! [X4] : ((~r1(X4) | ~r3(X4,X2,X0)))))))). 48.24/7.00 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((! [X1] : ((~id(X0,X1) | ~r1(X1))) | ! [X2] : ((! [X3] : ((~r2(X3,X2) | ~r1(X3))) | ! [X4] : ((~r1(X4) | ~r3(X4,X2,X0))))))), inference(negate_conjecture, [status(cth)], [zeroplusoneidzero])). 48.24/7.00 cnf(c2, plain, ~r2(X0,X1) | id(X1,sK1(X0)), inference(clausification, [status(esa)], [axiom_2])). 48.24/7.00 cnf(c4, plain, ~id(X0,X1) | id(X0,X2) | ~id(X1,X2), inference(clausification, [status(esa)], [axiom_7])). 48.24/7.00 cnf(c14, plain, ~id(X0,X1) | r1(X1) | ~r1(X0), inference(clausification, [status(esa)], [axiom_8])). 48.24/7.00 cnf(c17, plain, ~id(X0,X1) | r1(X0) | ~r1(X1), inference(clausification, [status(esa)], [axiom_8])). 48.24/7.00 cnf(c18, plain, ~r2(X0,X1) | ~id(X2,X1) | ~r1(X2), inference(clausification, [status(esa)], [axiom_7a])). 48.24/7.00 cnf(c21, plain, ~id(X0,X1) | ~id(X2,X3) | ~r2(X1,X3) | r2(X0,X2), inference(clausification, [status(esa)], [axiom_9])). 48.24/7.00 cnf(c26, plain, id(X0,sK31(X1,X2)) | ~r3(X1,X2,X0), inference(clausification, [status(esa)], [axiom_3])). 48.24/7.00 cnf(c28, plain, id(X0,X0), inference(clausification, [status(esa)], [axiom_5])). 48.24/7.00 cnf(c29, plain, id(sK35(X0),X0), inference(clausification, [status(esa)], [axiom_4a])). 48.24/7.00 cnf(c34, plain, ~id(X0,X1) | ~id(X2,X3) | r3(X3,X1,X4) | ~r3(X2,X0,X5) | ~id(X5,X4), inference(clausification, [status(esa)], [axiom_10])). 48.24/7.00 cnf(c36, plain, ~r1(X0) | id(X0,sK43), inference(clausification, [status(esa)], [axiom_1])). 48.24/7.00 cnf(c40, plain, r3(X0,sK49(X0,X1),sK48(X0,X1)), inference(clausification, [status(esa)], [axiom_1a])). 48.24/7.00 cnf(c41, plain, r2(X0,sK49(X1,X0)), inference(clausification, [status(esa)], [axiom_1a])). 48.24/7.00 cnf(c42, plain, id(sK48(X0,X1),sK47(X0,X1)), inference(clausification, [status(esa)], [axiom_1a])). 48.24/7.00 cnf(c44, plain, r2(sK50(X0,X1),sK47(X0,X1)), inference(clausification, [status(esa)], [axiom_1a])). 48.24/7.00 cnf(c53, plain, id(X0,X1) | ~id(X1,X0), inference(clausification, [status(esa)], [axiom_6])). 48.24/7.00 cnf(c58, plain, id(sK67,sK68), inference(clausification, [status(esa)], [negated_conjecture])). 48.24/7.00 cnf(c59, plain, r1(sK68), inference(clausification, [status(esa)], [negated_conjecture])). 48.24/7.00 cnf(c60, plain, r2(sK70,sK69), inference(clausification, [status(esa)], [negated_conjecture])). 48.24/7.00 cnf(c61, plain, r1(sK70), inference(clausification, [status(esa)], [negated_conjecture])). 48.24/7.00 cnf(c63, plain, r3(sK71,sK69,sK67), inference(clausification, [status(esa)], [negated_conjecture])). 48.24/7.00 cnf(d0, plain, ~id(X0,sK69) | ~id(X1,sK70) | r2(X1,X0), inference(resolution, [status(thm)], [c21,c60])). 48.24/7.00 cnf(d1, plain, ~id(X0,sK70) | r2(X0,sK69), inference(resolution, [status(thm)], [d0,c28])). 48.24/7.00 cnf(d2, plain, ~id(sK68,X0) | id(sK67,X0), inference(resolution, [status(thm)], [c58,c4])). 48.24/7.00 cnf(d3, plain, ~r1(sK68) | id(sK67,sK43), inference(resolution, [status(thm)], [c36,d2])). 48.24/7.00 cnf(d4, plain, id(sK67,sK43), inference(resolution, [status(thm)], [c59,d3])). 48.24/7.00 cnf(d5, plain, id(sK68,sK67), inference(resolution, [status(thm)], [c53,c58])). 48.24/7.00 cnf(d6, plain, ~id(sK67,X0) | id(sK68,X0), inference(resolution, [status(thm)], [d5,c4])). 48.24/7.00 cnf(d7, plain, id(sK68,sK43), inference(resolution, [status(thm)], [d6,d4])). 48.24/7.00 cnf(d8, plain, id(sK43,sK68), inference(resolution, [status(thm)], [d7,c53])). 48.24/7.00 cnf(d9, plain, ~r1(X0) | ~id(sK43,X1) | id(X0,X1), inference(resolution, [status(thm)], [c36,c4])). 48.24/7.00 cnf(d10, plain, id(X0,sK68) | ~r1(X0), inference(resolution, [status(thm)], [d9,d8])). 48.24/7.00 cnf(d11, plain, ~r1(X0) | id(sK68,X0), inference(resolution, [status(thm)], [d10,c53])). 48.24/7.00 cnf(d12, plain, ~r1(sK70) | r2(sK68,sK69), inference(resolution, [status(thm)], [d11,d1])). 48.24/7.00 cnf(d13, plain, r2(sK68,sK69), inference(resolution, [status(thm)], [c61,d12])). 48.24/7.00 cnf(d14, plain, ~id(sK1(X0),X1) | id(X2,X1) | ~r2(X0,X2), inference(resolution, [status(thm)], [c4,c2])). 48.24/7.00 cnf(d15, plain, id(sK1(X0),X1) | ~r2(X0,X1), inference(resolution, [status(thm)], [c53,c2])). 48.24/7.00 cnf(d16, plain, ~r2(X0,X1) | id(X2,X1) | ~r2(X0,X2), inference(resolution, [status(thm)], [d15,d14])). 48.24/7.00 cnf(d17, plain, id(X0,sK69) | ~r2(sK68,X0), inference(resolution, [status(thm)], [d16,d13])). 48.24/7.00 cnf(d18, plain, id(sK49(X0,sK68),sK69), inference(resolution, [status(thm)], [d17,c41])). 48.24/7.00 cnf(d19, plain, ~id(sK48(X0,X1),X2) | ~id(sK49(X0,X1),X3) | ~id(X0,X4) | r3(X4,X3,X2), inference(resolution, [status(thm)], [c40,c34])). 48.24/7.00 cnf(d20, plain, ~id(X0,X1) | ~id(sK49(X0,X2),X3) | r3(X1,X3,sK48(X0,X2)), inference(resolution, [status(thm)], [d19,c28])). 48.24/7.00 cnf(d21, plain, ~r3(X0,X1,X2) | r1(X2) | ~r1(sK31(X0,X1)), inference(resolution, [status(thm)], [c26,c17])). 48.24/7.00 cnf(d22, plain, ~r3(X0,X1,X2) | r1(sK31(X0,X1)) | ~r1(X2), inference(resolution, [status(thm)], [c26,c14])). 48.24/7.00 cnf(d23, plain, ~r1(sK67) | r1(sK31(sK71,sK69)), inference(resolution, [status(thm)], [d22,c63])). 48.24/7.00 cnf(d24, plain, r1(sK67) | ~r1(sK68), inference(resolution, [status(thm)], [c17,c58])). 48.24/7.00 cnf(d25, plain, r1(sK67), inference(resolution, [status(thm)], [c59,d24])). 48.24/7.00 cnf(d26, plain, r1(sK31(sK71,sK69)), inference(resolution, [status(thm)], [d25,d23])). 48.24/7.00 cnf(d27, plain, ~r3(sK71,sK69,X0) | r1(X0), inference(resolution, [status(thm)], [d26,d21])). 48.24/7.00 cnf(d28, plain, r1(sK48(X0,X1)) | ~id(X0,sK71) | ~id(sK49(X0,X1),sK69), inference(resolution, [status(thm)], [d27,d20])). 48.24/7.00 cnf(d29, plain, r1(sK47(X0,X1)) | ~r1(sK48(X0,X1)), inference(resolution, [status(thm)], [c42,c14])). 48.24/7.00 cnf(d30, plain, ~id(X0,sK47(X1,X2)) | ~r1(X0), inference(resolution, [status(thm)], [c44,c18])). 48.24/7.00 cnf(d31, plain, ~r1(sK68) | ~r1(sK47(X0,X1)), inference(resolution, [status(thm)], [d30,d11])). 48.24/7.00 cnf(d32, plain, ~r1(sK47(X0,X1)), inference(resolution, [status(thm)], [c59,d31])). 48.24/7.00 cnf(d33, plain, ~r1(sK48(X0,X1)), inference(resolution, [status(thm)], [d32,d29])). 48.24/7.00 cnf(d34, plain, ~id(X0,sK71) | ~id(sK49(X0,X1),sK69), inference(resolution, [status(thm)], [d33,d28])). 48.24/7.00 cnf(d35, plain, ~id(X0,sK71), inference(resolution, [status(thm)], [d34,d18])). 48.24/7.00 cnf(d36, plain, $false, inference(resolution, [status(thm)], [d35,c29])). 48.24/7.00 % SZS output end CNFRefutation for theBenchmark.p 48.24/7.01 EOF