%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP165-1 : 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 : n009.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 10:09:26 EDT 2022 % Result : Unsatisfiable 10.67s 1.72s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP165-1 : 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 % 0.12/0.34 % Computer : n009.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jun 14 02:33:53 EDT 2022 % 0.12/0.34 % CPUTime : % 10.67/1.72 % SZS status Unsatisfiable % 10.67/1.72 % SZS output begin IncompleteProof % 10.67/1.72 cnf(c0, axiom, % 10.67/1.72 multiply(a,a) != least_upper_bound(a,multiply(a,a))). % 10.67/1.72 cnf(c1, plain, % 10.67/1.72 multiply(a,a) != least_upper_bound(a,multiply(a,a)), % 10.67/1.72 inference(start, [], [c0])). % 10.67/1.72 % 10.67/1.72 cnf(c2, axiom, % 10.67/1.72 multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X0,X2),multiply(X1,X2))). % 10.67/1.72 cnf(a0, assumption, % 10.67/1.72 least_upper_bound(X3,X4) = least_upper_bound(a,multiply(a,a))). % 10.67/1.72 cnf(c3, plain, % 10.67/1.72 $false, % 10.67/1.72 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 10.67/1.72 cnf(c4, plain, % 10.67/1.72 $false, % 10.67/1.72 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 10.67/1.72 cnf(c5, plain, % 10.67/1.72 X3 != multiply(X0,X2) | X4 != multiply(X1,X2) | X5 != multiply(least_upper_bound(X0,X1),X2) | multiply(a,a) != X5, % 10.67/1.72 inference(lazy_function_extension, [assumptions([a0])], [c1, c2])). % 10.67/1.72 % 10.67/1.72 cnf(c6, axiom, % 10.67/1.72 multiply(identity,X6) = X6). % 10.67/1.72 cnf(a1, assumption, % 10.67/1.72 multiply(X0,X2) = multiply(identity,X6)). % 10.67/1.72 cnf(c7, plain, % 10.67/1.72 X4 != multiply(X1,X2) | X5 != multiply(least_upper_bound(X0,X1),X2) | multiply(a,a) != X5, % 10.67/1.72 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 10.67/1.72 cnf(c8, plain, % 10.67/1.72 $false, % 10.67/1.72 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 10.67/1.72 cnf(c9, plain, % 10.67/1.72 X7 != X6 | X3 != X7, % 10.67/1.72 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 10.67/1.72 % 10.67/1.72 cnf(a2, assumption, % 10.67/1.72 X7 = X6). % 10.67/1.72 cnf(c10, plain, % 10.67/1.72 X3 != X7, % 10.67/1.72 inference(reflexivity, [assumptions([a2])], [c9])). % 10.67/1.72 % 10.67/1.72 cnf(a3, assumption, % 10.67/1.72 X3 = X7). % 10.67/1.72 cnf(c11, plain, % 10.67/1.72 $false, % 10.67/1.72 inference(reflexivity, [assumptions([a3])], [c10])). % 10.67/1.72 % 10.67/1.72 cnf(a4, assumption, % 10.67/1.72 X4 = multiply(X1,X2)). % 10.67/1.72 cnf(c12, plain, % 10.67/1.72 X5 != multiply(least_upper_bound(X0,X1),X2) | multiply(a,a) != X5, % 10.67/1.72 inference(reflexivity, [assumptions([a4])], [c7])). % 10.67/1.72 % 10.67/1.72 cnf(c13, axiom, % 10.67/1.72 least_upper_bound(X8,X9) = least_upper_bound(X9,X8)). % 10.67/1.72 cnf(a5, assumption, % 10.67/1.72 least_upper_bound(X0,X1) = least_upper_bound(X9,X8)). % 10.67/1.72 cnf(c14, plain, % 10.67/1.72 multiply(a,a) != X5, % 10.67/1.72 inference(strict_function_extension, [assumptions([a5])], [c12, c13])). % 10.67/1.72 cnf(c15, plain, % 10.67/1.72 $false, % 10.67/1.72 inference(strict_function_extension, [assumptions([a5])], [c12, c13])). % 10.67/1.72 cnf(c16, plain, % 10.67/1.72 X10 != least_upper_bound(X8,X9) | X5 != multiply(X10,X2), % 10.67/1.72 inference(strict_function_extension, [assumptions([a5])], [c12, c13])). % 10.67/1.72 % 10.67/1.72 cnf(c17, axiom, % 10.67/1.72 a = least_upper_bound(a,identity)). % 10.67/1.72 cnf(a6, assumption, % 10.67/1.72 least_upper_bound(X8,X9) = least_upper_bound(a,identity)). % 10.67/1.72 cnf(c18, plain, % 10.67/1.72 X5 != multiply(X10,X2), % 10.67/1.72 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 10.67/1.72 cnf(c19, plain, % 10.67/1.72 $false, % 10.67/1.72 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 10.67/1.72 cnf(c20, plain, % 10.67/1.72 X11 != a | X10 != X11, % 10.67/1.72 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 10.67/1.72 % 10.67/1.72 cnf(a7, assumption, % 10.67/1.72 X11 = a). % 10.67/1.72 cnf(c21, plain, % 10.67/1.72 X10 != X11, % 10.67/1.72 inference(reflexivity, [assumptions([a7])], [c20])). % 10.67/1.72 % 10.67/1.72 cnf(a8, assumption, % 10.67/1.72 X10 = X11). % 10.67/1.72 cnf(c22, plain, % 10.67/1.72 $false, % 10.67/1.72 inference(reflexivity, [assumptions([a8])], [c21])). % 10.67/1.72 % 10.67/1.72 cnf(a9, assumption, % 10.67/1.72 X5 = multiply(X10,X2)). % 10.67/1.72 cnf(c23, plain, % 10.67/1.72 $false, % 10.67/1.72 inference(reflexivity, [assumptions([a9])], [c18])). % 10.67/1.72 % 10.67/1.72 cnf(a10, assumption, % 10.67/1.72 multiply(a,a) = X5). % 10.67/1.72 cnf(c24, plain, % 10.67/1.72 $false, % 10.67/1.72 inference(reflexivity, [assumptions([a10])], [c14])). % 10.67/1.72 % 10.67/1.72 cnf(c25, plain, % 10.67/1.72 $false, % 10.67/1.72 inference(constraint_solving, [ % 10.67/1.72 bind(X0, identity), % 10.67/1.72 bind(X1, a), % 10.67/1.72 bind(X2, a), % 10.67/1.72 bind(X5, multiply(X10,X2)), % 10.67/1.72 bind(X3, a), % 10.67/1.72 bind(X4, multiply(a,a)), % 10.67/1.72 bind(X6, a), % 10.67/1.72 bind(X7, a), % 10.67/1.72 bind(X8, a), % 10.67/1.72 bind(X9, identity), % 10.67/1.72 bind(X10, a), % 10.67/1.72 bind(X11, a) % 10.67/1.72 ], % 10.67/1.72 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])). % 10.67/1.72 % 10.67/1.72 % SZS output end IncompleteProof %------------------------------------------------------------------------------