%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : COL036-1 : 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 : n025.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 00:33:57 EDT 2022 % Result : Unsatisfiable 143.67s 18.51s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : COL036-1 : TPTP v8.1.0. Released v1.0.0. % 0.06/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n025.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue May 31 05:00:57 EDT 2022 % 0.12/0.33 % CPUTime : % 143.67/18.51 % SZS status Unsatisfiable % 143.67/18.51 % SZS output begin IncompleteProof % 143.67/18.51 cnf(c0, axiom, % 143.67/18.51 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0)))). % 143.67/18.51 cnf(c1, plain, % 143.67/18.51 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))), % 143.67/18.51 inference(start, [], [c0])). % 143.67/18.51 % 143.67/18.51 cnf(c2, axiom, % 143.67/18.51 apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))). % 143.67/18.51 cnf(a0, assumption, % 143.67/18.51 apply(X0,f(X0)) = apply(apply(apply(b,X1),X2),X3)). % 143.67/18.51 cnf(c3, plain, % 143.67/18.51 $false, % 143.67/18.51 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 143.67/18.51 cnf(c4, plain, % 143.67/18.51 $false, % 143.67/18.51 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 143.67/18.51 cnf(c5, plain, % 143.67/18.51 X4 != apply(X1,apply(X2,X3)) | apply(X0,f(X0)) != apply(f(X0),X4), % 143.67/18.51 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 143.67/18.51 % 143.67/18.51 cnf(a1, assumption, % 143.67/18.51 X4 = apply(X1,apply(X2,X3))). % 143.67/18.51 cnf(c6, plain, % 143.67/18.51 apply(X0,f(X0)) != apply(f(X0),X4), % 143.67/18.51 inference(reflexivity, [assumptions([a1])], [c5])). % 143.67/18.51 % 143.67/18.51 cnf(c7, axiom, % 143.67/18.51 apply(apply(apply(b,X5),X6),X7) = apply(X5,apply(X6,X7))). % 143.67/18.51 cnf(a2, assumption, % 143.67/18.51 apply(X8,X9) = apply(f(X0),X4)). % 143.67/18.51 cnf(c8, plain, % 143.67/18.51 $false, % 143.67/18.51 inference(lazy_function_extension, [assumptions([a2])], [c6, c7])). % 143.67/18.51 cnf(c9, plain, % 143.67/18.51 $false, % 143.67/18.51 inference(lazy_function_extension, [assumptions([a2])], [c6, c7])). % 143.67/18.51 cnf(c10, plain, % 143.67/18.51 X8 != X5 | X9 != apply(X6,X7) | X10 != apply(apply(apply(b,X5),X6),X7) | apply(X0,f(X0)) != X10, % 143.67/18.51 inference(lazy_function_extension, [assumptions([a2])], [c6, c7])). % 143.67/18.51 % 143.67/18.51 cnf(a3, assumption, % 143.67/18.51 X8 = X5). % 143.67/18.51 cnf(c11, plain, % 143.67/18.51 X9 != apply(X6,X7) | X10 != apply(apply(apply(b,X5),X6),X7) | apply(X0,f(X0)) != X10, % 143.67/18.51 inference(reflexivity, [assumptions([a3])], [c10])). % 143.67/18.51 % 143.67/18.51 cnf(c12, axiom, % 143.67/18.51 apply(apply(apply(s,X11),X12),X13) = apply(apply(X11,X13),apply(X12,X13))). % 143.67/18.51 cnf(a4, assumption, % 143.67/18.51 apply(X6,X7) = apply(apply(X11,X13),apply(X12,X13))). % 143.67/18.51 cnf(c13, plain, % 143.67/18.51 X10 != apply(apply(apply(b,X5),X6),X7) | apply(X0,f(X0)) != X10, % 143.67/18.51 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 143.67/18.51 cnf(c14, plain, % 143.67/18.51 $false, % 143.67/18.51 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 143.67/18.51 cnf(c15, plain, % 143.67/18.51 X14 != apply(apply(apply(s,X11),X12),X13) | X9 != X14, % 143.67/18.51 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 143.67/18.51 % 143.67/18.51 cnf(a5, assumption, % 143.67/18.51 X14 = apply(apply(apply(s,X11),X12),X13)). % 143.67/18.51 cnf(c16, plain, % 143.67/18.51 X9 != X14, % 143.67/18.51 inference(reflexivity, [assumptions([a5])], [c15])). % 143.67/18.51 % 143.67/18.51 cnf(a6, assumption, % 143.67/18.51 X9 = X14). % 143.67/18.51 cnf(c17, plain, % 143.67/18.51 $false, % 143.67/18.51 inference(reflexivity, [assumptions([a6])], [c16])). % 143.67/18.51 % 143.67/18.51 cnf(c18, axiom, % 143.67/18.51 apply(apply(t,X15),X16) = apply(X16,X15)). % 143.67/18.51 cnf(a7, assumption, % 143.67/18.51 apply(apply(apply(b,X5),X6),X7) = apply(X16,X15)). % 143.67/18.51 cnf(c19, plain, % 143.67/18.51 apply(X0,f(X0)) != X10, % 143.67/18.51 inference(strict_function_extension, [assumptions([a7])], [c13, c18])). % 143.67/18.51 cnf(c20, plain, % 143.67/18.51 $false, % 143.67/18.51 inference(strict_function_extension, [assumptions([a7])], [c13, c18])). % 143.67/18.51 cnf(c21, plain, % 143.67/18.51 X17 != apply(apply(t,X15),X16) | X10 != X17, % 143.67/18.51 inference(strict_function_extension, [assumptions([a7])], [c13, c18])). % 143.67/18.51 % 143.67/18.51 cnf(c22, axiom, % 143.67/18.51 apply(apply(apply(s,X18),X19),X20) = apply(apply(X18,X20),apply(X19,X20))). % 143.67/18.51 cnf(a8, assumption, % 143.67/18.51 apply(apply(t,X15),X16) = apply(apply(X18,X20),apply(X19,X20))). % 143.67/18.51 cnf(c23, plain, % 143.67/18.51 X10 != X17, % 143.67/18.51 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 143.67/18.51 cnf(c24, plain, % 143.67/18.51 $false, % 143.67/18.51 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 143.67/18.51 cnf(c25, plain, % 143.67/18.51 X21 != apply(apply(apply(s,X18),X19),X20) | X17 != X21, % 143.67/18.51 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 143.67/18.51 % 143.67/18.51 cnf(c26, plain, % 143.67/18.51 X9 = apply(X6,X7)). % 143.67/18.51 cnf(a9, assumption, % 143.67/18.51 apply(apply(apply(s,X18),X19),X20) = apply(X6,X7)). % 143.67/18.51 cnf(c27, plain, % 143.67/18.51 X17 != X21, % 143.67/18.51 inference(equality_reduction, [assumptions([a9])], [c25, c26])). % 143.67/18.51 cnf(c28, plain, % 143.67/18.51 X21 != X9, % 143.67/18.51 inference(equality_reduction, [assumptions([a9])], [c25, c26])). % 143.67/18.51 % 143.67/18.51 cnf(a10, assumption, % 143.67/18.51 X21 = X9). % 143.67/18.51 cnf(c29, plain, % 143.67/18.51 $false, % 143.67/18.51 inference(reflexivity, [assumptions([a10])], [c28])). % 143.67/18.51 % 143.67/18.51 cnf(a11, assumption, % 143.67/18.51 X17 = X21). % 143.67/18.51 cnf(c30, plain, % 143.67/18.51 $false, % 143.67/18.51 inference(reflexivity, [assumptions([a11])], [c27])). % 143.67/18.51 % 143.67/18.51 cnf(a12, assumption, % 143.67/18.51 X10 = X17). % 143.67/18.51 cnf(c31, plain, % 143.67/18.51 $false, % 143.67/18.51 inference(reflexivity, [assumptions([a12])], [c23])). % 143.67/18.51 % 143.67/18.51 cnf(c32, plain, % 143.67/18.51 apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))). % 143.67/18.51 cnf(a13, assumption, % 143.67/18.51 apply(X0,f(X0)) = apply(apply(apply(b,X1),X2),X3)). % 143.67/18.51 cnf(a14, assumption, % 143.67/18.51 apply(X1,apply(X2,X3)) = X22). % 143.67/18.51 cnf(c33, plain, % 143.67/18.51 $false, % 143.67/18.51 inference(equality_reduction, [assumptions([a13, a14])], [c19, c32])). % 143.67/18.51 cnf(c34, plain, % 143.67/18.51 X22 != X10, % 143.67/18.51 inference(equality_reduction, [assumptions([a13, a14])], [c19, c32])). % 143.67/18.51 % 143.67/18.51 cnf(a15, assumption, % 143.67/18.51 X22 = X10). % 143.67/18.51 cnf(c35, plain, % 143.67/18.51 $false, % 143.67/18.51 inference(reflexivity, [assumptions([a15])], [c34])). % 143.67/18.51 % 143.67/18.51 cnf(c36, plain, % 143.67/18.51 $false, % 143.67/18.51 inference(constraint_solving, [ % 143.67/18.51 bind(X0, apply(apply(b,X1),X2)), % 143.67/18.51 bind(X1, apply(apply(s,X11),X12)), % 143.67/18.51 bind(X2, b), % 143.67/18.51 bind(X3, f(X0)), % 143.67/18.51 bind(X4, apply(X1,apply(X2,X3))), % 143.67/18.51 bind(X5, f(X0)), % 143.67/18.51 bind(X6, apply(X11,X13)), % 143.67/18.51 bind(X7, apply(X12,X13)), % 143.67/18.51 bind(X10, apply(X1,apply(X2,X3))), % 143.67/18.51 bind(X8, f(X0)), % 143.67/18.51 bind(X9, apply(X1,apply(X2,X3))), % 143.67/18.51 bind(X11, apply(s,X18)), % 143.67/18.51 bind(X12, apply(s,X18)), % 143.67/18.51 bind(X13, apply(X2,X3)), % 143.67/18.51 bind(X14, apply(apply(apply(s,X11),X12),X13)), % 143.67/18.51 bind(X15, apply(X12,X13)), % 143.67/18.51 bind(X16, apply(apply(b,X5),X6)), % 143.67/18.51 bind(X17, apply(X1,apply(X2,X3))), % 143.67/18.51 bind(X18, t), % 143.67/18.51 bind(X19, apply(b,X5)), % 143.67/18.51 bind(X20, apply(X12,X13)), % 143.67/18.51 bind(X21, apply(X1,apply(X2,X3))), % 143.67/18.51 bind(X22, apply(X1,apply(X2,X3))) % 143.67/18.51 ], % 143.67/18.51 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15])). % 143.67/18.51 % 143.67/18.51 % SZS output end IncompleteProof %------------------------------------------------------------------------------