%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : COL041-1 : 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 0.21s 0.43s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : COL041-1 : TPTP v8.1.0. Released v1.0.0. % 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n025.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue May 31 08:31:58 EDT 2022 % 0.13/0.35 % CPUTime : % 0.21/0.43 % SZS status Unsatisfiable % 0.21/0.43 % SZS output begin IncompleteProof % 0.21/0.43 cnf(c0, axiom, % 0.21/0.43 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0)))). % 0.21/0.43 cnf(c1, plain, % 0.21/0.43 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))), % 0.21/0.43 inference(start, [], [c0])). % 0.21/0.43 % 0.21/0.43 cnf(c2, axiom, % 0.21/0.43 apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))). % 0.21/0.43 cnf(a0, assumption, % 0.21/0.43 apply(X0,f(X0)) = apply(apply(apply(b,X1),X2),X3)). % 0.21/0.43 cnf(c3, plain, % 0.21/0.43 $false, % 0.21/0.43 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.21/0.43 cnf(c4, plain, % 0.21/0.43 $false, % 0.21/0.43 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.21/0.43 cnf(c5, plain, % 0.21/0.43 X4 != apply(X1,apply(X2,X3)) | apply(X0,f(X0)) != apply(f(X0),X4), % 0.21/0.43 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.21/0.43 % 0.21/0.43 cnf(a1, assumption, % 0.21/0.43 X4 = apply(X1,apply(X2,X3))). % 0.21/0.43 cnf(c6, plain, % 0.21/0.43 apply(X0,f(X0)) != apply(f(X0),X4), % 0.21/0.43 inference(reflexivity, [assumptions([a1])], [c5])). % 0.21/0.43 % 0.21/0.43 cnf(c7, axiom, % 0.21/0.43 apply(apply(apply(b,X5),X6),X7) = apply(X5,apply(X6,X7))). % 0.21/0.43 cnf(a2, assumption, % 0.21/0.43 apply(f(X0),X4) = apply(X5,apply(X6,X7))). % 0.21/0.43 cnf(c8, plain, % 0.21/0.43 $false, % 0.21/0.43 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 0.21/0.43 cnf(c9, plain, % 0.21/0.43 $false, % 0.21/0.43 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 0.21/0.43 cnf(c10, plain, % 0.21/0.43 X8 != apply(apply(apply(b,X5),X6),X7) | apply(X0,f(X0)) != X8, % 0.21/0.43 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 0.21/0.43 % 0.21/0.43 cnf(c11, axiom, % 0.21/0.43 apply(apply(apply(c,X9),X10),X11) = apply(apply(X9,X11),X10)). % 0.21/0.43 cnf(a3, assumption, % 0.21/0.43 apply(apply(b,X5),X6) = apply(apply(X9,X11),X10)). % 0.21/0.43 cnf(c12, plain, % 0.21/0.43 apply(X0,f(X0)) != X8, % 0.21/0.43 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 0.21/0.43 cnf(c13, plain, % 0.21/0.43 $false, % 0.21/0.43 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 0.21/0.43 cnf(c14, plain, % 0.21/0.43 X12 != apply(apply(apply(c,X9),X10),X11) | X8 != apply(X12,X7), % 0.21/0.43 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 0.21/0.43 % 0.21/0.43 cnf(a4, assumption, % 0.21/0.43 X12 = apply(apply(apply(c,X9),X10),X11)). % 0.21/0.43 cnf(c15, plain, % 0.21/0.43 X8 != apply(X12,X7), % 0.21/0.43 inference(reflexivity, [assumptions([a4])], [c14])). % 0.21/0.43 % 0.21/0.43 cnf(c16, axiom, % 0.21/0.43 apply(m,X13) = apply(X13,X13)). % 0.21/0.43 cnf(a5, assumption, % 0.21/0.43 apply(X12,X7) = apply(X13,X13)). % 0.21/0.43 cnf(c17, plain, % 0.21/0.43 $false, % 0.21/0.43 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 0.21/0.43 cnf(c18, plain, % 0.21/0.43 $false, % 0.21/0.43 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 0.21/0.43 cnf(c19, plain, % 0.21/0.43 X14 != apply(m,X13) | X8 != X14, % 0.21/0.43 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 0.21/0.43 % 0.21/0.43 cnf(a6, assumption, % 0.21/0.43 X14 = apply(m,X13)). % 0.21/0.43 cnf(c20, plain, % 0.21/0.43 X8 != X14, % 0.21/0.43 inference(reflexivity, [assumptions([a6])], [c19])). % 0.21/0.43 % 0.21/0.43 cnf(a7, assumption, % 0.21/0.43 X8 = X14). % 0.21/0.43 cnf(c21, plain, % 0.21/0.43 $false, % 0.21/0.43 inference(reflexivity, [assumptions([a7])], [c20])). % 0.21/0.43 % 0.21/0.43 cnf(c22, plain, % 0.21/0.43 apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))). % 0.21/0.43 cnf(a8, assumption, % 0.21/0.43 apply(X0,f(X0)) = apply(apply(apply(b,X1),X2),X3)). % 0.21/0.43 cnf(a9, assumption, % 0.21/0.43 apply(X1,apply(X2,X3)) = X15). % 0.21/0.43 cnf(c23, plain, % 0.21/0.43 $false, % 0.21/0.43 inference(equality_reduction, [assumptions([a8, a9])], [c12, c22])). % 0.21/0.43 cnf(c24, plain, % 0.21/0.43 X15 != X8, % 0.21/0.43 inference(equality_reduction, [assumptions([a8, a9])], [c12, c22])). % 0.21/0.43 % 0.21/0.43 cnf(a10, assumption, % 0.21/0.43 X15 = X8). % 0.21/0.43 cnf(c25, plain, % 0.21/0.43 $false, % 0.21/0.43 inference(reflexivity, [assumptions([a10])], [c24])). % 0.21/0.43 % 0.21/0.43 cnf(c26, plain, % 0.21/0.43 $false, % 0.21/0.43 inference(constraint_solving, [ % 0.21/0.43 bind(X0, apply(apply(b,X1),X2)), % 0.21/0.43 bind(X1, m), % 0.21/0.43 bind(X2, apply(apply(c,X9),X10)), % 0.21/0.43 bind(X3, f(X0)), % 0.21/0.43 bind(X4, apply(X1,apply(X2,X3))), % 0.21/0.43 bind(X5, f(X0)), % 0.21/0.43 bind(X6, m), % 0.21/0.43 bind(X7, apply(X2,X3)), % 0.21/0.43 bind(X8, apply(m,X13)), % 0.21/0.43 bind(X9, b), % 0.21/0.43 bind(X10, m), % 0.21/0.43 bind(X11, f(X0)), % 0.21/0.43 bind(X12, apply(apply(apply(c,X9),X10),X11)), % 0.21/0.43 bind(X13, apply(apply(apply(c,X9),X10),X11)), % 0.21/0.43 bind(X14, apply(m,X13)), % 0.21/0.43 bind(X15, apply(X1,apply(X2,X3))) % 0.21/0.43 ], % 0.21/0.43 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])). % 0.21/0.43 % 0.21/0.43 % SZS output end IncompleteProof %------------------------------------------------------------------------------