%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : COL030-1 : 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 : n024.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 0.14s 0.35s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : COL030-1 : TPTP v8.1.0. Released v1.0.0. % 0.06/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.33 % Computer : n024.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 600 % 0.14/0.33 % DateTime : Tue May 31 09:06:51 EDT 2022 % 0.14/0.34 % CPUTime : % 0.14/0.35 % SZS status Unsatisfiable % 0.14/0.35 % SZS output begin IncompleteProof % 0.14/0.35 cnf(c0, axiom, % 0.14/0.35 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0)))). % 0.14/0.35 cnf(c1, plain, % 0.14/0.35 apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))), % 0.14/0.35 inference(start, [], [c0])). % 0.14/0.35 % 0.14/0.35 cnf(c2, axiom, % 0.14/0.35 apply(apply(l,X1),X2) = apply(X1,apply(X2,X2))). % 0.14/0.35 cnf(a0, assumption, % 0.14/0.35 apply(X3,X4) = apply(f(X0),apply(X0,f(X0)))). % 0.14/0.35 cnf(c3, plain, % 0.14/0.35 $false, % 0.14/0.35 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.35 cnf(c4, plain, % 0.14/0.35 $false, % 0.14/0.35 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.35 cnf(c5, plain, % 0.14/0.35 X3 != X1 | X4 != apply(X2,X2) | X5 != apply(apply(l,X1),X2) | apply(X0,f(X0)) != X5, % 0.14/0.35 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.35 % 0.14/0.35 cnf(a1, assumption, % 0.14/0.35 X3 = X1). % 0.14/0.35 cnf(c6, plain, % 0.14/0.35 X4 != apply(X2,X2) | X5 != apply(apply(l,X1),X2) | apply(X0,f(X0)) != X5, % 0.14/0.35 inference(reflexivity, [assumptions([a1])], [c5])). % 0.14/0.35 % 0.14/0.35 cnf(c7, axiom, % 0.14/0.35 apply(apply(apply(s,X6),X7),X8) = apply(apply(X6,X8),apply(X7,X8))). % 0.14/0.35 cnf(a2, assumption, % 0.14/0.35 apply(X2,X2) = apply(apply(X6,X8),apply(X7,X8))). % 0.14/0.35 cnf(c8, plain, % 0.14/0.35 X5 != apply(apply(l,X1),X2) | apply(X0,f(X0)) != X5, % 0.14/0.35 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 0.14/0.35 cnf(c9, plain, % 0.14/0.35 $false, % 0.14/0.35 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 0.14/0.35 cnf(c10, plain, % 0.14/0.35 X9 != apply(apply(apply(s,X6),X7),X8) | X4 != X9, % 0.14/0.35 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 0.14/0.35 % 0.14/0.35 cnf(a3, assumption, % 0.14/0.35 X9 = apply(apply(apply(s,X6),X7),X8)). % 0.14/0.35 cnf(c11, plain, % 0.14/0.35 X4 != X9, % 0.14/0.35 inference(reflexivity, [assumptions([a3])], [c10])). % 0.14/0.35 % 0.14/0.35 cnf(a4, assumption, % 0.14/0.35 X4 = X9). % 0.14/0.35 cnf(c12, plain, % 0.14/0.35 $false, % 0.14/0.35 inference(reflexivity, [assumptions([a4])], [c11])). % 0.14/0.35 % 0.14/0.35 cnf(c13, plain, % 0.14/0.35 X4 = apply(X2,X2)). % 0.14/0.35 cnf(a5, assumption, % 0.14/0.35 apply(apply(l,X1),X2) = apply(X2,X2)). % 0.14/0.35 cnf(c14, plain, % 0.14/0.35 apply(X0,f(X0)) != X5, % 0.14/0.35 inference(equality_reduction, [assumptions([a5])], [c8, c13])). % 0.14/0.35 cnf(c15, plain, % 0.14/0.35 X5 != X4, % 0.14/0.35 inference(equality_reduction, [assumptions([a5])], [c8, c13])). % 0.14/0.35 % 0.14/0.35 cnf(a6, assumption, % 0.14/0.35 X5 = X4). % 0.14/0.35 cnf(c16, plain, % 0.14/0.35 $false, % 0.14/0.35 inference(reflexivity, [assumptions([a6])], [c15])). % 0.14/0.35 % 0.14/0.35 cnf(a7, assumption, % 0.14/0.35 apply(X0,f(X0)) = X5). % 0.14/0.35 cnf(c17, plain, % 0.14/0.35 $false, % 0.14/0.35 inference(reflexivity, [assumptions([a7])], [c14])). % 0.14/0.35 % 0.14/0.35 cnf(c18, plain, % 0.14/0.35 $false, % 0.14/0.35 inference(constraint_solving, [ % 0.14/0.35 bind(X0, apply(apply(s,X6),X7)), % 0.14/0.35 bind(X1, f(X0)), % 0.14/0.35 bind(X2, apply(X6,X8)), % 0.14/0.35 bind(X5, apply(X0,f(X0))), % 0.14/0.35 bind(X3, f(X0)), % 0.14/0.35 bind(X4, apply(X0,f(X0))), % 0.14/0.35 bind(X6, l), % 0.14/0.35 bind(X7, l), % 0.14/0.35 bind(X8, f(X0)), % 0.14/0.35 bind(X9, apply(apply(apply(s,X6),X7),X8)) % 0.14/0.35 ], % 0.14/0.35 [a0, a1, a2, a3, a4, a5, a6, a7])). % 0.14/0.35 % 0.14/0.35 % SZS output end IncompleteProof %------------------------------------------------------------------------------