%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : COL044-1 : 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 00:33:58 EDT 2022 % Result : Unsatisfiable 10.67s 1.68s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : COL044-1 : 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 : n023.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 10:32:56 EDT 2022 % 0.12/0.33 % CPUTime : % 10.67/1.68 % SZS status Unsatisfiable % 10.67/1.68 % SZS output begin IncompleteProof % 10.67/1.68 cnf(c0, axiom, % 10.67/1.68 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0)))). % 10.67/1.68 cnf(c1, plain, % 10.67/1.68 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))), % 10.67/1.68 inference(start, [], [c0])). % 10.67/1.68 % 10.67/1.68 cnf(c2, axiom, % 10.67/1.68 apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))). % 10.67/1.68 cnf(a0, assumption, % 10.67/1.68 apply(f(X0),apply(X0,f(X0))) = apply(X1,apply(X2,X3))). % 10.67/1.68 cnf(c3, plain, % 10.67/1.68 $false, % 10.67/1.68 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 10.67/1.68 cnf(c4, plain, % 10.67/1.68 $false, % 10.67/1.68 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 10.67/1.68 cnf(c5, plain, % 10.67/1.68 X4 != apply(apply(apply(b,X1),X2),X3) | apply(X0,f(X0)) != X4, % 10.67/1.68 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 10.67/1.68 % 10.67/1.68 cnf(c6, axiom, % 10.67/1.68 apply(apply(apply(n,X5),X6),X7) = apply(apply(apply(X5,X7),X6),X7)). % 10.67/1.68 cnf(a1, assumption, % 10.67/1.68 apply(apply(apply(b,X1),X2),X3) = apply(apply(apply(X5,X7),X6),X7)). % 10.67/1.68 cnf(c7, plain, % 10.67/1.68 apply(X0,f(X0)) != X4, % 10.67/1.68 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 10.67/1.68 cnf(c8, plain, % 10.67/1.68 $false, % 10.67/1.68 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 10.67/1.68 cnf(c9, plain, % 10.67/1.68 X8 != apply(apply(apply(n,X5),X6),X7) | X4 != X8, % 10.67/1.68 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 10.67/1.68 % 10.67/1.68 cnf(c10, axiom, % 10.67/1.68 apply(apply(apply(b,X9),X10),X11) = apply(X9,apply(X10,X11))). % 10.67/1.68 cnf(a2, assumption, % 10.67/1.68 apply(apply(n,X5),X6) = apply(X9,apply(X10,X11))). % 10.67/1.68 cnf(c11, plain, % 10.67/1.68 X4 != X8, % 10.67/1.68 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 10.67/1.68 cnf(c12, plain, % 10.67/1.68 $false, % 10.67/1.68 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 10.67/1.68 cnf(c13, plain, % 10.67/1.68 X12 != apply(apply(apply(b,X9),X10),X11) | X8 != apply(X12,X7), % 10.67/1.68 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 10.67/1.68 % 10.67/1.68 cnf(c14, axiom, % 10.67/1.68 apply(apply(apply(n,X13),X14),X15) = apply(apply(apply(X13,X15),X14),X15)). % 10.67/1.68 cnf(a3, assumption, % 10.67/1.68 apply(X16,X17) = apply(apply(apply(b,X9),X10),X11)). % 10.67/1.68 cnf(c15, plain, % 10.67/1.68 X8 != apply(X12,X7), % 10.67/1.68 inference(lazy_function_extension, [assumptions([a3])], [c13, c14])). % 10.67/1.68 cnf(c16, plain, % 10.67/1.68 $false, % 10.67/1.68 inference(lazy_function_extension, [assumptions([a3])], [c13, c14])). % 10.67/1.68 cnf(c17, plain, % 10.67/1.68 X16 != apply(apply(X13,X15),X14) | X17 != X15 | X18 != apply(apply(apply(n,X13),X14),X15) | X12 != X18, % 10.67/1.68 inference(lazy_function_extension, [assumptions([a3])], [c13, c14])). % 10.67/1.68 % 10.67/1.68 cnf(c18, axiom, % 10.67/1.68 apply(apply(apply(b,X19),X20),X21) = apply(X19,apply(X20,X21))). % 10.67/1.68 cnf(a4, assumption, % 10.67/1.68 apply(apply(X13,X15),X14) = apply(apply(apply(b,X19),X20),X21)). % 10.67/1.68 cnf(c19, plain, % 10.67/1.68 X17 != X15 | X18 != apply(apply(apply(n,X13),X14),X15) | X12 != X18, % 10.67/1.68 inference(strict_function_extension, [assumptions([a4])], [c17, c18])). % 10.67/1.68 cnf(c20, plain, % 10.67/1.68 $false, % 10.67/1.68 inference(strict_function_extension, [assumptions([a4])], [c17, c18])). % 10.67/1.68 cnf(c21, plain, % 10.67/1.68 X22 != apply(X19,apply(X20,X21)) | X16 != X22, % 10.67/1.68 inference(strict_function_extension, [assumptions([a4])], [c17, c18])). % 10.67/1.68 % 10.67/1.68 cnf(a5, assumption, % 10.67/1.68 X22 = apply(X19,apply(X20,X21))). % 10.67/1.68 cnf(c22, plain, % 10.67/1.68 X16 != X22, % 10.67/1.68 inference(reflexivity, [assumptions([a5])], [c21])). % 10.67/1.68 % 10.67/1.68 cnf(a6, assumption, % 10.67/1.68 X16 = X22). % 10.67/1.68 cnf(c23, plain, % 10.67/1.68 $false, % 10.67/1.68 inference(reflexivity, [assumptions([a6])], [c22])). % 10.67/1.68 % 10.67/1.68 cnf(a7, assumption, % 10.67/1.68 X17 = X15). % 10.67/1.68 cnf(c24, plain, % 10.67/1.68 X18 != apply(apply(apply(n,X13),X14),X15) | X12 != X18, % 10.67/1.68 inference(reflexivity, [assumptions([a7])], [c19])). % 10.67/1.68 % 10.67/1.68 cnf(a8, assumption, % 10.67/1.68 X18 = apply(apply(apply(n,X13),X14),X15)). % 10.67/1.68 cnf(c25, plain, % 10.67/1.68 X12 != X18, % 10.67/1.68 inference(reflexivity, [assumptions([a8])], [c24])). % 10.67/1.68 % 10.67/1.68 cnf(a9, assumption, % 10.67/1.68 X12 = X18). % 10.67/1.68 cnf(c26, plain, % 10.67/1.68 $false, % 10.67/1.68 inference(reflexivity, [assumptions([a9])], [c25])). % 10.67/1.68 % 10.67/1.68 cnf(a10, assumption, % 10.67/1.68 X8 = apply(X12,X7)). % 10.67/1.68 cnf(c27, plain, % 10.67/1.68 $false, % 10.67/1.68 inference(reflexivity, [assumptions([a10])], [c15])). % 10.67/1.68 % 10.67/1.68 cnf(a11, assumption, % 10.67/1.68 X4 = X8). % 10.67/1.68 cnf(c28, plain, % 10.67/1.68 $false, % 10.67/1.68 inference(reflexivity, [assumptions([a11])], [c11])). % 10.67/1.68 % 10.67/1.68 cnf(a12, assumption, % 10.67/1.68 apply(X0,f(X0)) = X4). % 10.67/1.68 cnf(c29, plain, % 10.67/1.68 $false, % 10.67/1.68 inference(reflexivity, [assumptions([a12])], [c7])). % 10.67/1.68 % 10.67/1.68 cnf(c30, plain, % 10.67/1.68 $false, % 10.67/1.68 inference(constraint_solving, [ % 10.67/1.68 bind(X0, apply(X10,X11)), % 10.67/1.68 bind(X1, f(X0)), % 10.67/1.68 bind(X2, apply(X10,X11)), % 10.67/1.68 bind(X3, f(X0)), % 10.67/1.68 bind(X4, apply(X12,X7)), % 10.67/1.68 bind(X5, b), % 10.67/1.68 bind(X6, apply(X10,X11)), % 10.67/1.68 bind(X7, f(X0)), % 10.67/1.68 bind(X8, apply(X12,X7)), % 10.67/1.68 bind(X9, apply(n,X5)), % 10.67/1.68 bind(X10, apply(X20,X21)), % 10.67/1.68 bind(X11, apply(n,X13)), % 10.67/1.68 bind(X12, apply(apply(apply(n,X13),X14),X15)), % 10.67/1.68 bind(X13, apply(b,X19)), % 10.67/1.68 bind(X14, X21), % 10.67/1.68 bind(X15, apply(n,X13)), % 10.67/1.68 bind(X18, apply(apply(apply(n,X13),X14),X15)), % 10.67/1.68 bind(X16, apply(apply(b,X9),X10)), % 10.67/1.68 bind(X17, apply(n,X13)), % 10.67/1.68 bind(X19, apply(b,X9)), % 10.67/1.68 bind(X20, apply(n,X13)), % 10.67/1.68 bind(X21, X21), % 10.67/1.68 bind(X22, apply(X19,apply(X20,X21))) % 10.67/1.68 ], % 10.67/1.68 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])). % 10.67/1.68 % 10.67/1.68 % SZS output end IncompleteProof %------------------------------------------------------------------------------