%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUN066+1 : 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 : n020.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 23.53s 4.33s % Output : CNFRefutation 23.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUN066+1 : TPTP v9.3.1. Released v7.3.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.13/0.37 % Computer : n020.cluster.edu % 0.13/0.37 % Model : x86_64 x86_64 % 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.37 % Memory : 8046.5625MB % 0.13/0.37 % OS : Linux 6.8.0-71-generic % 0.13/0.37 % CPULimit : 300 % 0.13/0.37 % WCLimit : 300 % 0.13/0.37 % DateTime : Sat Sep 26 04:31:06 UTC 2026 % 0.13/0.37 % CPUTime : % 0.13/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 23.53/4.33 % SZS status Theorem for theBenchmark.p % 23.53/4.33 % SZS output start CNFRefutation for theBenchmark.p % 23.53/4.33 fof(axiom_1, axiom, ? [X0] : ! [X1] : (((id(X1,X0) & r1(X1)) | (~r1(X1) & ~id(X1,X0))))). % 23.53/4.33 fof(axiom_2, axiom, ! [X0] : ? [X1] : ! [X2] : (((id(X2,X1) & r2(X0,X2)) | (~r2(X0,X2) & ~id(X2,X1))))). % 23.53/4.33 fof(axiom_5, axiom, ! [X0] : id(X0,X0)). % 23.53/4.33 fof(axiom_6, axiom, ! [X0] : ! [X1] : ((~id(X0,X1) | id(X1,X0)))). % 23.53/4.33 fof(axiom_7, axiom, ! [X0] : ! [X1] : ! [X2] : ((~id(X0,X1) | (id(X0,X2) | ~id(X1,X2))))). % 23.53/4.33 fof(axiom_8, axiom, ! [X0] : ! [X1] : ((~id(X0,X1) | ((~r1(X0) & ~r1(X1)) | (r1(X0) & r1(X1)))))). % 23.53/4.33 fof(axiom_9, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((~id(X0,X2) | (~id(X1,X3) | ((~r2(X0,X1) & ~r2(X2,X3)) | (r2(X0,X1) & r2(X2,X3))))))). % 23.53/4.33 fof(axiom_3a, axiom, ! [X0] : ! [X1] : ((! [X2] : ((! [X3] : ((~id(X3,X2) | ~r2(X0,X3))) | ~r2(X1,X2))) | id(X0,X1)))). % 23.53/4.33 fof(axiom_4a, axiom, ! [X0] : ? [X1] : ((id(X1,X0) & ? [X2] : ((r1(X2) & r3(X0,X2,X1)))))). % 23.53/4.33 fof(axiom_7a, axiom, ! [X0] : ! [X1] : ((! [X2] : ((~id(X2,X1) | ~r1(X2))) | ~r2(X0,X1)))). % 23.53/4.33 fof(nonzerononetwoexistid, conjecture, ? [X0] : ((! [X1] : ((! [X2] : ((! [X3] : ((~r1(X3) | ~r2(X3,X2))) | ~r2(X2,X1))) | ~id(X0,X1))) & ! [X4] : ((~id(X0,X4) | ~r1(X4)))))). % 23.53/4.33 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((! [X1] : ((! [X2] : ((! [X3] : ((~r1(X3) | ~r2(X3,X2))) | ~r2(X2,X1))) | ~id(X0,X1))) & ! [X4] : ((~id(X0,X4) | ~r1(X4))))), inference(negate_conjecture, [status(cth)], [nonzerononetwoexistid])). % 23.53/4.33 cnf(c0, plain, id(X0,sK0) | ~r1(X0), inference(clausification, [status(esa)], [axiom_1])). % 23.53/4.33 cnf(c3, plain, r1(X0) | ~id(X0,sK0), inference(clausification, [status(esa)], [axiom_1])). % 23.53/4.33 cnf(c4, plain, id(X0,sK3(X1)) | ~r2(X1,X0), inference(clausification, [status(esa)], [axiom_2])). % 23.53/4.33 cnf(c7, plain, r2(X0,X1) | ~id(X1,sK3(X0)), inference(clausification, [status(esa)], [axiom_2])). % 23.53/4.33 cnf(c16, plain, id(X0,X0), inference(clausification, [status(esa)], [axiom_5])). % 23.53/4.33 cnf(c17, plain, ~id(X0,X1) | id(X1,X0), inference(clausification, [status(esa)], [axiom_6])). % 23.53/4.33 cnf(c18, plain, ~id(X0,X1) | id(X0,X2) | ~id(X1,X2), inference(clausification, [status(esa)], [axiom_7])). % 23.53/4.33 cnf(c20, plain, ~id(X0,X1) | ~r1(X0) | r1(X1), inference(clausification, [status(esa)], [axiom_8])). % 23.53/4.33 cnf(c25, plain, ~id(X0,X1) | ~id(X2,X3) | ~r2(X1,X3) | r2(X0,X2), inference(clausification, [status(esa)], [axiom_9])). % 23.53/4.33 cnf(c45, plain, ~id(X0,X1) | ~r2(X2,X0) | ~r2(X3,X1) | id(X2,X3), inference(clausification, [status(esa)], [axiom_3a])). % 23.53/4.33 cnf(c46, plain, id(sK54(X0),X0), inference(clausification, [status(esa)], [axiom_4a])). % 23.53/4.33 cnf(c57, plain, ~id(X0,X1) | ~r1(X0) | ~r2(X2,X1), inference(clausification, [status(esa)], [axiom_7a])). % 23.53/4.33 cnf(c58, plain, ~X0(X1) | id(X1,sK69(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 23.53/4.33 cnf(c59, plain, ~X0(X1) | r1(sK69(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 23.53/4.33 cnf(c61, plain, X0(X1) | r2(sK72(X1),sK71(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 23.53/4.33 cnf(c62, plain, X0(X1) | r2(sK71(X1),sK70(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 23.53/4.33 cnf(c63, plain, X0(X1) | id(X1,sK70(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 23.53/4.33 cnf(d0, plain, r2(X0,sK3(X0)), inference(resolution, [status(thm)], [c16,c7])). % 23.53/4.33 cnf(d1, plain, id(sK70(X0),X0) | 'Ts67'(X0), inference(resolution, [status(thm)], [c17,c63])). % 23.53/4.33 cnf(d2, plain, id(sK71(X0),X1) | ~id(sK70(X0),X2) | ~r2(X1,X2) | 'Ts67'(X0), inference(resolution, [status(thm)], [c45,c62])). % 23.53/4.33 cnf(d3, plain, id(sK71(X0),X1) | ~r2(X1,X0) | 'Ts67'(X0) | 'Ts67'(X0), inference(resolution, [status(thm)], [d2,d1])). % 23.53/4.33 cnf(d4, plain, ~r1(X0) | ~id(X0,sK70(X1)) | 'Ts67'(X1), inference(resolution, [status(thm)], [c57,c62])). % 23.53/4.33 cnf(d5, plain, ~r1(X0) | 'Ts67'(X0) | 'Ts67'(X0), inference(resolution, [status(thm)], [d4,c63])). % 23.53/4.33 cnf(d6, plain, id(sK69(X0),X0) | ~'Ts67'(X0), inference(resolution, [status(thm)], [c17,c58])). % 23.53/4.33 cnf(d7, plain, id(X0,X1) | ~id(X0,sK69(X1)) | ~'Ts67'(X1), inference(resolution, [status(thm)], [c18,d6])). % 23.53/4.33 cnf(d8, plain, id(sK54(sK69(X0)),X0) | ~'Ts67'(X0), inference(resolution, [status(thm)], [c46,d7])). % 23.53/4.33 cnf(d9, plain, ~'Ts67'(sK0) | r1(sK54(sK69(sK0))), inference(resolution, [status(thm)], [d8,c3])). % 23.53/4.33 cnf(d10, plain, r1(sK0), inference(resolution, [status(thm)], [c16,c3])). % 23.53/4.33 cnf(d11, plain, 'Ts67'(sK0), inference(resolution, [status(thm)], [d5,d10])). % 23.53/4.33 cnf(d12, plain, r1(sK54(sK69(sK0))), inference(resolution, [status(thm)], [d11,d9])). % 23.53/4.33 cnf(d13, plain, 'Ts67'(sK54(sK69(sK0))), inference(resolution, [status(thm)], [d12,d5])). % 23.53/4.33 cnf(d14, plain, id(sK0,X0) | ~r1(X0), inference(resolution, [status(thm)], [c17,c0])). % 23.53/4.33 cnf(d15, plain, ~r1(sK69(X0)) | id(sK0,X0) | ~'Ts67'(X0), inference(resolution, [status(thm)], [d14,d7])). % 23.53/4.33 cnf(d16, plain, id(sK0,X0) | ~'Ts67'(X0) | ~'Ts67'(X0), inference(resolution, [status(thm)], [d15,c59])). % 23.53/4.33 cnf(d17, plain, id(X0,X1) | ~id(X0,sK54(X1)), inference(resolution, [status(thm)], [c46,c18])). % 23.53/4.33 cnf(d18, plain, id(sK0,X0) | ~'Ts67'(sK54(X0)), inference(resolution, [status(thm)], [d17,d16])). % 23.53/4.33 cnf(d19, plain, id(sK0,sK69(sK0)), inference(resolution, [status(thm)], [d18,d13])). % 23.53/4.33 cnf(d20, plain, id(X0,sK69(sK0)) | ~id(X0,sK0), inference(resolution, [status(thm)], [d19,c18])). % 23.53/4.33 cnf(d21, plain, ~id(X0,sK0) | id(sK69(sK0),X0), inference(resolution, [status(thm)], [d20,c17])). % 23.53/4.33 cnf(d22, plain, ~id(X0,sK72(X1)) | ~id(X2,sK71(X1)) | r2(X0,X2) | 'Ts67'(X1), inference(resolution, [status(thm)], [c25,c61])). % 23.53/4.33 cnf(d23, plain, ~id(X0,sK71(X1)) | r2(sK54(sK72(X1)),X0) | 'Ts67'(X1), inference(resolution, [status(thm)], [d22,c46])). % 23.53/4.33 cnf(d24, plain, id(sK3(X0),X1) | ~r2(X0,X1), inference(resolution, [status(thm)], [c17,c4])). % 23.53/4.33 cnf(d25, plain, id(sK69(sK0),sK0), inference(resolution, [status(thm)], [d19,c17])). % 23.53/4.33 cnf(d26, plain, id(X0,sK0) | ~id(X0,sK69(sK0)), inference(resolution, [status(thm)], [d25,c18])). % 23.53/4.33 cnf(d27, plain, id(sK3(X0),sK0) | ~r2(X0,sK69(sK0)), inference(resolution, [status(thm)], [d26,d24])). % 23.53/4.33 cnf(d28, plain, ~r1(X0) | ~id(X0,sK3(X1)), inference(resolution, [status(thm)], [d0,c57])). % 23.53/4.33 cnf(d29, plain, ~id(sK3(X0),sK0) | ~r1(sK69(sK0)), inference(resolution, [status(thm)], [d21,d28])). % 23.53/4.33 cnf(d30, plain, r1(X0) | ~r1(sK69(X0)) | ~'Ts67'(X0), inference(resolution, [status(thm)], [c20,d6])). % 23.53/4.33 cnf(d31, plain, r1(X0) | ~'Ts67'(X0) | ~'Ts67'(X0), inference(resolution, [status(thm)], [d30,c59])). % 23.53/4.33 cnf(d32, plain, id(X0,sK70(X1)) | ~id(X0,X1) | 'Ts67'(X1), inference(resolution, [status(thm)], [c18,c63])). % 23.53/4.33 cnf(d33, plain, ~r1(X0) | 'Ts67'(X1) | ~id(X0,X1) | 'Ts67'(X1), inference(resolution, [status(thm)], [d4,d32])). % 23.53/4.33 cnf(d34, plain, ~r1(sK54(X0)) | 'Ts67'(X0), inference(resolution, [status(thm)], [d33,c46])). % 23.53/4.33 cnf(d35, plain, 'Ts67'(sK69(sK0)), inference(resolution, [status(thm)], [d34,d12])). % 23.53/4.33 cnf(d36, plain, r1(sK69(sK0)), inference(resolution, [status(thm)], [d35,d31])). % 23.53/4.33 cnf(d37, plain, ~id(sK3(X0),sK0), inference(resolution, [status(thm)], [d36,d29])). % 23.53/4.33 cnf(d38, plain, ~r2(X0,sK69(sK0)), inference(resolution, [status(thm)], [d37,d27])). % 23.53/4.33 cnf(d39, plain, ~id(sK69(sK0),sK71(X0)) | 'Ts67'(X0), inference(resolution, [status(thm)], [d38,d23])). % 23.53/4.33 cnf(d40, plain, 'Ts67'(X0) | ~id(sK71(X0),sK0), inference(resolution, [status(thm)], [d39,d21])). % 23.53/4.33 cnf(d41, plain, 'Ts67'(X0) | ~r2(sK0,X0) | 'Ts67'(X0), inference(resolution, [status(thm)], [d40,d3])). % 23.53/4.33 cnf(d42, plain, 'Ts67'(sK3(sK0)), inference(resolution, [status(thm)], [d41,d0])). % 23.53/4.33 cnf(d43, plain, ~r1(sK0) | ~'Ts67'(sK3(X0)), inference(resolution, [status(thm)], [d28,d16])). % 23.53/4.33 cnf(d44, plain, ~'Ts67'(sK3(X0)), inference(resolution, [status(thm)], [d10,d43])). % 23.53/4.33 cnf(d45, plain, $false, inference(resolution, [status(thm)], [d44,d42])). % 23.53/4.33 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------