%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : COL001-1 : 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 : n032.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 00:33:52 EDT 2022 % Result : Unsatisfiable 9.60s 1.50s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.01/0.10 % Problem : COL001-1 : TPTP v8.1.0. Released v1.0.0. % 0.01/0.11 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.10/0.30 % Computer : n032.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.30 % CPULimit : 300 % 0.10/0.30 % WCLimit : 600 % 0.10/0.30 % DateTime : Tue May 31 15:52:28 EDT 2022 % 0.10/0.30 % CPUTime : % 9.60/1.50 % SZS status Unsatisfiable % 9.60/1.50 % SZS output begin IncompleteProof % 9.60/1.50 cnf(c0, axiom, % 9.60/1.50 apply(combinator,X0) != X0). % 9.60/1.50 cnf(c1, plain, % 9.60/1.50 apply(combinator,X0) != X0, % 9.60/1.50 inference(start, [], [c0])). % 9.60/1.50 % 9.60/1.50 cnf(c2, axiom, % 9.60/1.50 apply(apply(apply(s,X1),X2),X3) = apply(apply(X1,X3),apply(X2,X3))). % 9.60/1.50 cnf(a0, assumption, % 9.60/1.50 apply(X4,X5) = apply(combinator,X0)). % 9.60/1.50 cnf(c3, plain, % 9.60/1.50 $false, % 9.60/1.50 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 9.60/1.50 cnf(c4, plain, % 9.60/1.50 $false, % 9.60/1.50 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 9.60/1.50 cnf(c5, plain, % 9.60/1.50 X4 != apply(X1,X3) | X5 != apply(X2,X3) | X6 != apply(apply(apply(s,X1),X2),X3) | X6 != X0, % 9.60/1.50 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 9.60/1.50 % 9.60/1.50 cnf(c6, axiom, % 9.60/1.50 apply(apply(k,X7),X8) = X7). % 9.60/1.50 cnf(a1, assumption, % 9.60/1.50 apply(X1,X3) = apply(apply(k,X7),X8)). % 9.60/1.50 cnf(c7, plain, % 9.60/1.50 X5 != apply(X2,X3) | X6 != apply(apply(apply(s,X1),X2),X3) | X6 != X0, % 9.60/1.50 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 9.60/1.50 cnf(c8, plain, % 9.60/1.50 $false, % 9.60/1.50 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 9.60/1.50 cnf(c9, plain, % 9.60/1.50 X9 != X7 | X4 != X9, % 9.60/1.50 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 9.60/1.50 % 9.60/1.50 cnf(a2, assumption, % 9.60/1.50 X9 = X7). % 9.60/1.50 cnf(c10, plain, % 9.60/1.50 X4 != X9, % 9.60/1.50 inference(reflexivity, [assumptions([a2])], [c9])). % 9.60/1.50 % 9.60/1.50 cnf(a3, assumption, % 9.60/1.50 X4 = X9). % 9.60/1.50 cnf(c11, plain, % 9.60/1.50 $false, % 9.60/1.50 inference(reflexivity, [assumptions([a3])], [c10])). % 9.60/1.50 % 9.60/1.50 cnf(a4, assumption, % 9.60/1.50 X5 = apply(X2,X3)). % 9.60/1.50 cnf(c12, plain, % 9.60/1.50 X6 != apply(apply(apply(s,X1),X2),X3) | X6 != X0, % 9.60/1.50 inference(reflexivity, [assumptions([a4])], [c7])). % 9.60/1.50 % 9.60/1.50 cnf(c13, axiom, % 9.60/1.50 apply(apply(apply(s,X10),X11),X12) = apply(apply(X10,X12),apply(X11,X12))). % 9.60/1.50 cnf(a5, assumption, % 9.60/1.50 apply(X13,X14) = apply(apply(apply(s,X1),X2),X3)). % 9.60/1.50 cnf(c14, plain, % 9.60/1.50 X6 != X0, % 9.60/1.50 inference(lazy_function_extension, [assumptions([a5])], [c12, c13])). % 9.60/1.50 cnf(c15, plain, % 9.60/1.50 $false, % 9.60/1.50 inference(lazy_function_extension, [assumptions([a5])], [c12, c13])). % 9.60/1.50 cnf(c16, plain, % 9.60/1.50 X13 != apply(X10,X12) | X14 != apply(X11,X12) | X15 != apply(apply(apply(s,X10),X11),X12) | X6 != X15, % 9.60/1.50 inference(lazy_function_extension, [assumptions([a5])], [c12, c13])). % 9.60/1.50 % 9.60/1.50 cnf(a6, assumption, % 9.60/1.50 X13 = apply(X10,X12)). % 9.60/1.50 cnf(c17, plain, % 9.60/1.50 X14 != apply(X11,X12) | X15 != apply(apply(apply(s,X10),X11),X12) | X6 != X15, % 9.60/1.50 inference(reflexivity, [assumptions([a6])], [c16])). % 9.60/1.50 % 9.60/1.50 cnf(c18, axiom, % 9.60/1.50 apply(apply(apply(s,X16),X17),X18) = apply(apply(X16,X18),apply(X17,X18))). % 9.60/1.50 cnf(a7, assumption, % 9.60/1.50 apply(X11,X12) = apply(apply(apply(s,X16),X17),X18)). % 9.60/1.50 cnf(c19, plain, % 9.60/1.50 X15 != apply(apply(apply(s,X10),X11),X12) | X6 != X15, % 9.60/1.50 inference(strict_function_extension, [assumptions([a7])], [c17, c18])). % 9.60/1.50 cnf(c20, plain, % 9.60/1.50 $false, % 9.60/1.50 inference(strict_function_extension, [assumptions([a7])], [c17, c18])). % 9.60/1.50 cnf(c21, plain, % 9.60/1.50 X19 != apply(apply(X16,X18),apply(X17,X18)) | X14 != X19, % 9.60/1.50 inference(strict_function_extension, [assumptions([a7])], [c17, c18])). % 9.60/1.50 % 9.60/1.50 cnf(c22, axiom, % 9.60/1.50 apply(apply(k,X20),X21) = X20). % 9.60/1.50 cnf(a8, assumption, % 9.60/1.50 apply(apply(X16,X18),apply(X17,X18)) = apply(apply(k,X20),X21)). % 9.60/1.50 cnf(c23, plain, % 9.60/1.50 X14 != X19, % 9.60/1.50 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 9.60/1.50 cnf(c24, plain, % 9.60/1.50 $false, % 9.60/1.50 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 9.60/1.50 cnf(c25, plain, % 9.60/1.50 X22 != X20 | X19 != X22, % 9.60/1.50 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 9.60/1.50 % 9.60/1.50 cnf(a9, assumption, % 9.60/1.50 X22 = X20). % 9.60/1.50 cnf(c26, plain, % 9.60/1.50 X19 != X22, % 9.60/1.50 inference(reflexivity, [assumptions([a9])], [c25])). % 9.60/1.50 % 9.60/1.50 cnf(a10, assumption, % 9.60/1.50 X19 = X22). % 9.60/1.50 cnf(c27, plain, % 9.60/1.50 $false, % 9.60/1.50 inference(reflexivity, [assumptions([a10])], [c26])). % 9.60/1.50 % 9.60/1.50 cnf(a11, assumption, % 9.60/1.50 X14 = X19). % 9.60/1.50 cnf(c28, plain, % 9.60/1.50 $false, % 9.60/1.50 inference(reflexivity, [assumptions([a11])], [c23])). % 9.60/1.50 % 9.60/1.50 cnf(a12, assumption, % 9.60/1.50 X15 = apply(apply(apply(s,X10),X11),X12)). % 9.60/1.50 cnf(c29, plain, % 9.60/1.50 X6 != X15, % 9.60/1.50 inference(reflexivity, [assumptions([a12])], [c19])). % 9.60/1.50 % 9.60/1.50 cnf(a13, assumption, % 9.60/1.50 X6 = X15). % 9.60/1.50 cnf(c30, plain, % 9.60/1.50 $false, % 9.60/1.50 inference(reflexivity, [assumptions([a13])], [c29])). % 9.60/1.50 % 9.60/1.50 cnf(a14, assumption, % 9.60/1.50 X6 = X0). % 9.60/1.50 cnf(c31, plain, % 9.60/1.50 $false, % 9.60/1.50 inference(reflexivity, [assumptions([a14])], [c14])). % 9.60/1.50 % 9.60/1.50 cnf(c32, plain, % 9.60/1.50 $false, % 9.60/1.50 inference(constraint_solving, [ % 9.60/1.50 bind(X0, apply(X2,X3)), % 9.60/1.50 bind(X1, apply(k,X7)), % 9.60/1.50 bind(X2, apply(apply(s,X10),X11)), % 9.60/1.50 bind(X3, apply(apply(s,X10),X11)), % 9.60/1.50 bind(X6, apply(apply(apply(s,X10),X11),X12)), % 9.60/1.50 bind(X4, combinator), % 9.60/1.50 bind(X5, apply(X2,X3)), % 9.60/1.50 bind(X7, combinator), % 9.60/1.50 bind(X8, apply(apply(s,X10),X11)), % 9.60/1.50 bind(X9, combinator), % 9.60/1.50 bind(X10, apply(s,X1)), % 9.60/1.50 bind(X11, apply(apply(s,X16),X17)), % 9.60/1.50 bind(X12, apply(apply(s,X10),X11)), % 9.60/1.50 bind(X15, apply(apply(apply(s,X10),X11),X12)), % 9.60/1.50 bind(X13, apply(apply(s,X1),X2)), % 9.60/1.50 bind(X14, apply(apply(s,X10),X11)), % 9.60/1.50 bind(X16, k), % 9.60/1.50 bind(X17, X17), % 9.60/1.50 bind(X18, apply(apply(s,X10),X11)), % 9.60/1.50 bind(X19, apply(apply(s,X10),X11)), % 9.60/1.50 bind(X20, apply(apply(s,X10),X11)), % 9.60/1.50 bind(X21, apply(X17,X18)), % 9.60/1.50 bind(X22, apply(apply(s,X10),X11)) % 9.60/1.50 ], % 9.60/1.50 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])). % 9.60/1.50 % 9.60/1.50 % SZS output end IncompleteProof %------------------------------------------------------------------------------