%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : COL033-1 : 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 : n026.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 0.12s 0.39s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : COL033-1 : TPTP v8.1.0. Released v1.0.0. % 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n026.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 06:02:55 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.39 % SZS status Unsatisfiable % 0.12/0.39 % SZS output begin IncompleteProof % 0.12/0.39 cnf(c0, axiom, % 0.12/0.39 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0)))). % 0.12/0.39 cnf(c1, plain, % 0.12/0.39 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))), % 0.12/0.39 inference(start, [], [c0])). % 0.12/0.39 % 0.12/0.39 cnf(c2, axiom, % 0.12/0.39 apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))). % 0.12/0.39 cnf(a0, assumption, % 0.12/0.39 apply(X0,f(X0)) = apply(apply(apply(b,X1),X2),X3)). % 0.12/0.39 cnf(c3, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.39 cnf(c4, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.39 cnf(c5, plain, % 0.12/0.39 X4 != apply(X1,apply(X2,X3)) | apply(X0,f(X0)) != apply(f(X0),X4), % 0.12/0.39 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.39 % 0.12/0.39 cnf(a1, assumption, % 0.12/0.39 X4 = apply(X1,apply(X2,X3))). % 0.12/0.39 cnf(c6, plain, % 0.12/0.39 apply(X0,f(X0)) != apply(f(X0),X4), % 0.12/0.39 inference(reflexivity, [assumptions([a1])], [c5])). % 0.12/0.39 % 0.12/0.39 cnf(c7, axiom, % 0.12/0.39 apply(apply(l,X5),X6) = apply(X5,apply(X6,X6))). % 0.12/0.39 cnf(a2, assumption, % 0.12/0.39 apply(X7,X8) = apply(f(X0),X4)). % 0.12/0.39 cnf(c8, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(lazy_function_extension, [assumptions([a2])], [c6, c7])). % 0.12/0.39 cnf(c9, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(lazy_function_extension, [assumptions([a2])], [c6, c7])). % 0.12/0.39 cnf(c10, plain, % 0.12/0.39 X7 != X5 | X8 != apply(X6,X6) | X9 != apply(apply(l,X5),X6) | apply(X0,f(X0)) != X9, % 0.12/0.39 inference(lazy_function_extension, [assumptions([a2])], [c6, c7])). % 0.12/0.39 % 0.12/0.39 cnf(a3, assumption, % 0.12/0.39 X7 = X5). % 0.12/0.39 cnf(c11, plain, % 0.12/0.39 X8 != apply(X6,X6) | X9 != apply(apply(l,X5),X6) | apply(X0,f(X0)) != X9, % 0.12/0.39 inference(reflexivity, [assumptions([a3])], [c10])). % 0.12/0.39 % 0.12/0.39 cnf(c12, axiom, % 0.12/0.39 apply(m,X10) = apply(X10,X10)). % 0.12/0.39 cnf(a4, assumption, % 0.12/0.39 apply(X6,X6) = apply(X10,X10)). % 0.12/0.39 cnf(c13, plain, % 0.12/0.39 X9 != apply(apply(l,X5),X6) | apply(X0,f(X0)) != X9, % 0.12/0.39 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 0.12/0.39 cnf(c14, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 0.12/0.39 cnf(c15, plain, % 0.12/0.39 X11 != apply(m,X10) | X8 != X11, % 0.12/0.39 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 0.12/0.39 % 0.12/0.39 cnf(a5, assumption, % 0.12/0.39 X11 = apply(m,X10)). % 0.12/0.39 cnf(c16, plain, % 0.12/0.39 X8 != X11, % 0.12/0.39 inference(reflexivity, [assumptions([a5])], [c15])). % 0.12/0.39 % 0.12/0.39 cnf(a6, assumption, % 0.12/0.39 X8 = X11). % 0.12/0.39 cnf(c17, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(reflexivity, [assumptions([a6])], [c16])). % 0.12/0.39 % 0.12/0.39 cnf(c18, plain, % 0.12/0.39 X8 = apply(X6,X6)). % 0.12/0.39 cnf(a7, assumption, % 0.12/0.39 apply(apply(l,X5),X6) = apply(X6,X6)). % 0.12/0.39 cnf(c19, plain, % 0.12/0.39 apply(X0,f(X0)) != X9, % 0.12/0.39 inference(equality_reduction, [assumptions([a7])], [c13, c18])). % 0.12/0.39 cnf(c20, plain, % 0.12/0.39 X9 != X8, % 0.12/0.39 inference(equality_reduction, [assumptions([a7])], [c13, c18])). % 0.12/0.39 % 0.12/0.39 cnf(a8, assumption, % 0.12/0.39 X9 = X8). % 0.12/0.39 cnf(c21, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(reflexivity, [assumptions([a8])], [c20])). % 0.12/0.39 % 0.12/0.39 cnf(c22, plain, % 0.12/0.39 apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))). % 0.12/0.39 cnf(a9, assumption, % 0.12/0.39 apply(X0,f(X0)) = apply(apply(apply(b,X1),X2),X3)). % 0.12/0.39 cnf(a10, assumption, % 0.12/0.39 apply(X1,apply(X2,X3)) = X12). % 0.12/0.39 cnf(c23, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(equality_reduction, [assumptions([a9, a10])], [c19, c22])). % 0.12/0.39 cnf(c24, plain, % 0.12/0.39 X12 != X9, % 0.12/0.39 inference(equality_reduction, [assumptions([a9, a10])], [c19, c22])). % 0.12/0.39 % 0.12/0.39 cnf(a11, assumption, % 0.12/0.39 X12 = X9). % 0.12/0.39 cnf(c25, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(reflexivity, [assumptions([a11])], [c24])). % 0.12/0.39 % 0.12/0.39 cnf(c26, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(constraint_solving, [ % 0.12/0.39 bind(X0, apply(apply(b,X1),X2)), % 0.12/0.39 bind(X1, m), % 0.12/0.39 bind(X2, l), % 0.12/0.39 bind(X3, f(X0)), % 0.12/0.39 bind(X4, apply(X1,apply(X2,X3))), % 0.12/0.39 bind(X5, f(X0)), % 0.12/0.39 bind(X6, apply(X2,X3)), % 0.12/0.39 bind(X9, apply(X1,apply(X2,X3))), % 0.12/0.39 bind(X7, f(X0)), % 0.12/0.39 bind(X8, apply(X1,apply(X2,X3))), % 0.12/0.39 bind(X10, apply(X2,X3)), % 0.12/0.39 bind(X11, apply(m,X10)), % 0.12/0.39 bind(X12, apply(X1,apply(X2,X3))) % 0.12/0.39 ], % 0.12/0.39 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])). % 0.12/0.39 % 0.12/0.39 % SZS output end IncompleteProof %------------------------------------------------------------------------------