%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : COL046-1 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Fri Jul 15 00:33:59 EDT 2022 % Result : Unsatisfiable 60.22s 7.92s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : COL046-1 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.33 % Computer : n023.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Tue May 31 14:10:26 EDT 2022 % 0.13/0.33 % CPUTime : % 60.22/7.92 % SZS status Unsatisfiable % 60.22/7.92 % SZS output begin IncompleteProof % 60.22/7.92 cnf(c0, axiom, % 60.22/7.92 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0)))). % 60.22/7.92 cnf(c1, plain, % 60.22/7.92 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))), % 60.22/7.92 inference(start, [], [c0])). % 60.22/7.92 % 60.22/7.92 cnf(c2, axiom, % 60.22/7.92 apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))). % 60.22/7.92 cnf(a0, assumption, % 60.22/7.92 apply(X4,X5) = apply(f(X0),apply(X0,f(X0)))). % 60.22/7.92 cnf(c3, plain, % 60.22/7.92 $false, % 60.22/7.92 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 60.22/7.92 cnf(c4, plain, % 60.22/7.92 $false, % 60.22/7.92 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 60.22/7.92 cnf(c5, plain, % 60.22/7.92 X4 != X1 | X5 != apply(X2,X3) | X6 != apply(apply(apply(b,X1),X2),X3) | apply(X0,f(X0)) != X6, % 60.22/7.92 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 60.22/7.92 % 60.22/7.92 cnf(a1, assumption, % 60.22/7.92 X4 = X1). % 60.22/7.92 cnf(c6, plain, % 60.22/7.92 X5 != apply(X2,X3) | X6 != apply(apply(apply(b,X1),X2),X3) | apply(X0,f(X0)) != X6, % 60.22/7.92 inference(reflexivity, [assumptions([a1])], [c5])). % 60.22/7.92 % 60.22/7.92 cnf(c7, axiom, % 60.22/7.92 apply(apply(apply(s,X7),X8),X9) = apply(apply(X7,X9),apply(X8,X9))). % 60.22/7.92 cnf(a2, assumption, % 60.22/7.92 apply(X2,X3) = apply(apply(X7,X9),apply(X8,X9))). % 60.22/7.92 cnf(c8, plain, % 60.22/7.92 X6 != apply(apply(apply(b,X1),X2),X3) | apply(X0,f(X0)) != X6, % 60.22/7.92 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 60.22/7.92 cnf(c9, plain, % 60.22/7.92 $false, % 60.22/7.92 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 60.22/7.92 cnf(c10, plain, % 60.22/7.92 X10 != apply(apply(apply(s,X7),X8),X9) | X5 != X10, % 60.22/7.92 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 60.22/7.92 % 60.22/7.92 cnf(a3, assumption, % 60.22/7.92 X10 = apply(apply(apply(s,X7),X8),X9)). % 60.22/7.92 cnf(c11, plain, % 60.22/7.92 X5 != X10, % 60.22/7.92 inference(reflexivity, [assumptions([a3])], [c10])). % 60.22/7.92 % 60.22/7.92 cnf(a4, assumption, % 60.22/7.92 X5 = X10). % 60.22/7.92 cnf(c12, plain, % 60.22/7.92 $false, % 60.22/7.92 inference(reflexivity, [assumptions([a4])], [c11])). % 60.22/7.92 % 60.22/7.92 cnf(c13, axiom, % 60.22/7.92 apply(apply(apply(s,X11),X12),X13) = apply(apply(X11,X13),apply(X12,X13))). % 60.22/7.92 cnf(a5, assumption, % 60.22/7.92 apply(apply(b,X1),X2) = apply(apply(X11,X13),apply(X12,X13))). % 60.22/7.92 cnf(c14, plain, % 60.22/7.92 apply(X0,f(X0)) != X6, % 60.22/7.92 inference(strict_function_extension, [assumptions([a5])], [c8, c13])). % 60.22/7.92 cnf(c15, plain, % 60.22/7.92 $false, % 60.22/7.92 inference(strict_function_extension, [assumptions([a5])], [c8, c13])). % 60.22/7.92 cnf(c16, plain, % 60.22/7.92 X14 != apply(apply(apply(s,X11),X12),X13) | X6 != apply(X14,X3), % 60.22/7.92 inference(strict_function_extension, [assumptions([a5])], [c8, c13])). % 60.22/7.92 % 60.22/7.92 cnf(c17, axiom, % 60.22/7.92 apply(apply(apply(b,X15),X16),X17) = apply(X15,apply(X16,X17))). % 60.22/7.92 cnf(a6, assumption, % 60.22/7.92 apply(apply(s,X11),X12) = apply(X15,apply(X16,X17))). % 60.22/7.92 cnf(c18, plain, % 60.22/7.92 X6 != apply(X14,X3), % 60.22/7.92 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 60.22/7.92 cnf(c19, plain, % 60.22/7.92 $false, % 60.22/7.92 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 60.22/7.92 cnf(c20, plain, % 60.22/7.92 X18 != apply(apply(apply(b,X15),X16),X17) | X14 != apply(X18,X13), % 60.22/7.92 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 60.22/7.92 % 60.22/7.92 cnf(c21, axiom, % 60.22/7.92 apply(m,X19) = apply(X19,X19)). % 60.22/7.92 cnf(a7, assumption, % 60.22/7.92 apply(apply(apply(b,X15),X16),X17) = apply(X19,X19)). % 60.22/7.92 cnf(c22, plain, % 60.22/7.92 X14 != apply(X18,X13), % 60.22/7.92 inference(strict_function_extension, [assumptions([a7])], [c20, c21])). % 60.22/7.92 cnf(c23, plain, % 60.22/7.92 $false, % 60.22/7.92 inference(strict_function_extension, [assumptions([a7])], [c20, c21])). % 60.22/7.92 cnf(c24, plain, % 60.22/7.92 X20 != apply(m,X19) | X18 != X20, % 60.22/7.92 inference(strict_function_extension, [assumptions([a7])], [c20, c21])). % 60.22/7.92 % 60.22/7.92 cnf(a8, assumption, % 60.22/7.92 X20 = apply(m,X19)). % 60.22/7.92 cnf(c25, plain, % 60.22/7.92 X18 != X20, % 60.22/7.92 inference(reflexivity, [assumptions([a8])], [c24])). % 60.22/7.92 % 60.22/7.92 cnf(a9, assumption, % 60.22/7.92 X18 = X20). % 60.22/7.92 cnf(c26, plain, % 60.22/7.92 $false, % 60.22/7.92 inference(reflexivity, [assumptions([a9])], [c25])). % 60.22/7.92 % 60.22/7.92 cnf(a10, assumption, % 60.22/7.92 X14 = apply(X18,X13)). % 60.22/7.92 cnf(c27, plain, % 60.22/7.92 $false, % 60.22/7.92 inference(reflexivity, [assumptions([a10])], [c22])). % 60.22/7.92 % 60.22/7.92 cnf(c28, plain, % 60.22/7.92 X5 = apply(X2,X3)). % 60.22/7.92 cnf(a11, assumption, % 60.22/7.92 apply(X14,X3) = apply(X2,X3)). % 60.22/7.92 cnf(c29, plain, % 60.22/7.92 $false, % 60.22/7.92 inference(equality_reduction, [assumptions([a11])], [c18, c28])). % 60.22/7.92 cnf(c30, plain, % 60.22/7.92 X6 != X5, % 60.22/7.92 inference(equality_reduction, [assumptions([a11])], [c18, c28])). % 60.22/7.92 % 60.22/7.92 cnf(a12, assumption, % 60.22/7.92 X6 = X5). % 60.22/7.92 cnf(c31, plain, % 60.22/7.92 $false, % 60.22/7.92 inference(reflexivity, [assumptions([a12])], [c30])). % 60.22/7.92 % 60.22/7.92 cnf(a13, assumption, % 60.22/7.92 apply(X0,f(X0)) = X6). % 60.22/7.92 cnf(c32, plain, % 60.22/7.92 $false, % 60.22/7.92 inference(reflexivity, [assumptions([a13])], [c14])). % 60.22/7.92 % 60.22/7.92 cnf(c33, plain, % 60.22/7.92 $false, % 60.22/7.92 inference(constraint_solving, [ % 60.22/7.92 bind(X0, apply(apply(s,X7),X8)), % 60.22/7.92 bind(X1, f(X0)), % 60.22/7.92 bind(X2, apply(X7,X9)), % 60.22/7.92 bind(X3, apply(X8,X9)), % 60.22/7.92 bind(X6, apply(X0,f(X0))), % 60.22/7.92 bind(X4, f(X0)), % 60.22/7.92 bind(X5, apply(X0,f(X0))), % 60.22/7.92 bind(X7, apply(X16,X17)), % 60.22/7.92 bind(X8, X8), % 60.22/7.92 bind(X9, f(X0)), % 60.22/7.92 bind(X10, apply(apply(apply(s,X7),X8),X9)), % 60.22/7.92 bind(X11, b), % 60.22/7.92 bind(X12, apply(X16,X17)), % 60.22/7.92 bind(X13, f(X0)), % 60.22/7.92 bind(X14, apply(X18,X13)), % 60.22/7.92 bind(X15, apply(s,X11)), % 60.22/7.92 bind(X16, m), % 60.22/7.92 bind(X17, apply(apply(b,X15),X16)), % 60.22/7.92 bind(X18, apply(m,X19)), % 60.22/7.92 bind(X19, apply(apply(b,X15),X16)), % 60.22/7.92 bind(X20, apply(m,X19)) % 60.22/7.92 ], % 60.22/7.92 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13])). % 60.22/7.92 % 60.22/7.92 % SZS output end IncompleteProof %------------------------------------------------------------------------------