%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP186-4 : TPTP v8.1.0. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n019.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 : Sat Jul 16 10:09:37 EDT 2022 % Result : Unsatisfiable 72.42s 9.57s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP186-4 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.33 % Computer : n019.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % 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 : Mon Jun 13 10:48:24 EDT 2022 % 0.13/0.34 % CPUTime : % 72.42/9.57 % SZS status Unsatisfiable % 72.42/9.57 % SZS output begin IncompleteProof % 72.42/9.57 cnf(c0, axiom, % 72.42/9.57 least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(inverse(a),b))). % 72.42/9.57 cnf(c1, plain, % 72.42/9.57 least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(inverse(a),b)), % 72.42/9.57 inference(start, [], [c0])). % 72.42/9.57 % 72.42/9.57 cnf(c2, axiom, % 72.42/9.57 least_upper_bound(X0,X1) = least_upper_bound(X1,X0)). % 72.42/9.57 cnf(a0, assumption, % 72.42/9.57 least_upper_bound(multiply(a,b),identity) = least_upper_bound(X0,X1)). % 72.42/9.57 cnf(c3, plain, % 72.42/9.57 $false, % 72.42/9.57 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 72.42/9.57 cnf(c4, plain, % 72.42/9.57 $false, % 72.42/9.57 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 72.42/9.57 cnf(c5, plain, % 72.42/9.57 X2 != least_upper_bound(X1,X0) | X2 != multiply(a,least_upper_bound(inverse(a),b)), % 72.42/9.57 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 72.42/9.57 % 72.42/9.57 cnf(a1, assumption, % 72.42/9.57 X2 = least_upper_bound(X1,X0)). % 72.42/9.57 cnf(c6, plain, % 72.42/9.57 X2 != multiply(a,least_upper_bound(inverse(a),b)), % 72.42/9.57 inference(reflexivity, [assumptions([a1])], [c5])). % 72.42/9.57 % 72.42/9.57 cnf(c7, axiom, % 72.42/9.57 multiply(X3,least_upper_bound(X4,X5)) = least_upper_bound(multiply(X3,X4),multiply(X3,X5))). % 72.42/9.57 cnf(a2, assumption, % 72.42/9.57 multiply(a,least_upper_bound(inverse(a),b)) = multiply(X3,least_upper_bound(X4,X5))). % 72.42/9.57 cnf(c8, plain, % 72.42/9.57 $false, % 72.42/9.57 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 72.42/9.57 cnf(c9, plain, % 72.42/9.57 $false, % 72.42/9.57 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 72.42/9.57 cnf(c10, plain, % 72.42/9.57 X6 != least_upper_bound(multiply(X3,X4),multiply(X3,X5)) | X2 != X6, % 72.42/9.57 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 72.42/9.57 % 72.42/9.57 cnf(c11, axiom, % 72.42/9.57 identity = multiply(inverse(X7),X7)). % 72.42/9.57 cnf(a3, assumption, % 72.42/9.57 multiply(X8,X9) = multiply(X3,X4)). % 72.42/9.57 cnf(c12, plain, % 72.42/9.57 X2 != X6, % 72.42/9.57 inference(lazy_function_extension, [assumptions([a3])], [c10, c11])). % 72.42/9.57 cnf(c13, plain, % 72.42/9.57 $false, % 72.42/9.57 inference(lazy_function_extension, [assumptions([a3])], [c10, c11])). % 72.42/9.57 cnf(c14, plain, % 72.42/9.57 X8 != inverse(X7) | X9 != X7 | X10 != identity | X6 != least_upper_bound(X10,multiply(X3,X5)), % 72.42/9.57 inference(lazy_function_extension, [assumptions([a3])], [c10, c11])). % 72.42/9.57 % 72.42/9.57 cnf(c15, axiom, % 72.42/9.57 inverse(inverse(X11)) = X11). % 72.42/9.57 cnf(a4, assumption, % 72.42/9.57 inverse(X7) = inverse(inverse(X11))). % 72.42/9.57 cnf(c16, plain, % 72.42/9.57 X9 != X7 | X10 != identity | X6 != least_upper_bound(X10,multiply(X3,X5)), % 72.42/9.57 inference(strict_function_extension, [assumptions([a4])], [c14, c15])). % 72.42/9.57 cnf(c17, plain, % 72.42/9.57 $false, % 72.42/9.57 inference(strict_function_extension, [assumptions([a4])], [c14, c15])). % 72.42/9.57 cnf(c18, plain, % 72.42/9.57 X12 != X11 | X8 != X12, % 72.42/9.57 inference(strict_function_extension, [assumptions([a4])], [c14, c15])). % 72.42/9.57 % 72.42/9.57 cnf(a5, assumption, % 72.42/9.57 X12 = X11). % 72.42/9.57 cnf(c19, plain, % 72.42/9.57 X8 != X12, % 72.42/9.57 inference(reflexivity, [assumptions([a5])], [c18])). % 72.42/9.57 % 72.42/9.57 cnf(a6, assumption, % 72.42/9.57 X8 = X12). % 72.42/9.57 cnf(c20, plain, % 72.42/9.57 $false, % 72.42/9.57 inference(reflexivity, [assumptions([a6])], [c19])). % 72.42/9.57 % 72.42/9.57 cnf(a7, assumption, % 72.42/9.57 X9 = X7). % 72.42/9.57 cnf(c21, plain, % 72.42/9.57 X10 != identity | X6 != least_upper_bound(X10,multiply(X3,X5)), % 72.42/9.57 inference(reflexivity, [assumptions([a7])], [c16])). % 72.42/9.57 % 72.42/9.57 cnf(a8, assumption, % 72.42/9.57 X10 = identity). % 72.42/9.57 cnf(c22, plain, % 72.42/9.57 X6 != least_upper_bound(X10,multiply(X3,X5)), % 72.42/9.57 inference(reflexivity, [assumptions([a8])], [c21])). % 72.42/9.57 % 72.42/9.57 cnf(a9, assumption, % 72.42/9.57 X6 = least_upper_bound(X10,multiply(X3,X5))). % 72.42/9.57 cnf(c23, plain, % 72.42/9.57 $false, % 72.42/9.57 inference(reflexivity, [assumptions([a9])], [c22])). % 72.42/9.57 % 72.42/9.57 cnf(a10, assumption, % 72.42/9.57 X2 = X6). % 72.42/9.57 cnf(c24, plain, % 72.42/9.57 $false, % 72.42/9.57 inference(reflexivity, [assumptions([a10])], [c12])). % 72.42/9.57 % 72.42/9.57 cnf(c25, plain, % 72.42/9.57 $false, % 72.42/9.57 inference(constraint_solving, [ % 72.42/9.57 bind(X0, multiply(a,b)), % 72.42/9.57 bind(X1, identity), % 72.42/9.57 bind(X2, least_upper_bound(X1,X0)), % 72.42/9.57 bind(X3, a), % 72.42/9.57 bind(X4, inverse(a)), % 72.42/9.57 bind(X5, b), % 72.42/9.57 bind(X6, least_upper_bound(X10,multiply(X3,X5))), % 72.42/9.57 bind(X7, inverse(X11)), % 72.42/9.57 bind(X10, identity), % 72.42/9.57 bind(X8, a), % 72.42/9.57 bind(X9, inverse(a)), % 72.42/9.57 bind(X11, a), % 72.42/9.57 bind(X12, a) % 72.42/9.57 ], % 72.42/9.57 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])). % 72.42/9.57 % 72.42/9.57 % SZS output end IncompleteProof %------------------------------------------------------------------------------