%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP021-1 : 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 : n023.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 10:08:36 EDT 2022 % Result : Unsatisfiable 0.12s 0.34s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GRP021-1 : TPTP v8.1.0. Released v1.0.0. % 0.06/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n023.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 : Mon Jun 13 13:51:51 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.34 % SZS status Unsatisfiable % 0.12/0.34 % SZS output begin IncompleteProof % 0.12/0.34 cnf(c0, axiom, % 0.12/0.34 identity != multiply(a,inverse(a))). % 0.12/0.34 cnf(c1, plain, % 0.12/0.34 identity != multiply(a,inverse(a)), % 0.12/0.34 inference(start, [], [c0])). % 0.12/0.34 % 0.12/0.34 cnf(c2, axiom, % 0.12/0.34 X0 = X1 | ~product(X2,X3,X1) | ~product(X2,X3,X0)). % 0.12/0.34 cnf(a0, assumption, % 0.12/0.34 multiply(a,inverse(a)) = X0). % 0.12/0.34 cnf(c3, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.34 cnf(c4, plain, % 0.12/0.34 ~product(X2,X3,X1) | ~product(X2,X3,X0), % 0.12/0.34 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.34 cnf(c5, plain, % 0.12/0.34 X1 != X4 | identity != X4, % 0.12/0.34 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.34 % 0.12/0.34 cnf(a1, assumption, % 0.12/0.34 X1 = X4). % 0.12/0.34 cnf(c6, plain, % 0.12/0.34 identity != X4, % 0.12/0.34 inference(reflexivity, [assumptions([a1])], [c5])). % 0.12/0.34 % 0.12/0.34 cnf(a2, assumption, % 0.12/0.34 identity = X4). % 0.12/0.34 cnf(c7, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(reflexivity, [assumptions([a2])], [c6])). % 0.12/0.34 % 0.12/0.34 cnf(c8, axiom, % 0.12/0.34 product(X5,inverse(X5),identity)). % 0.12/0.34 cnf(a3, assumption, % 0.12/0.34 X2 = X5). % 0.12/0.34 cnf(a4, assumption, % 0.12/0.34 X3 = inverse(X5)). % 0.12/0.34 cnf(a5, assumption, % 0.12/0.34 X1 = identity). % 0.12/0.34 cnf(c9, plain, % 0.12/0.34 ~product(X2,X3,X0), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 0.12/0.34 cnf(c10, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 0.12/0.34 % 0.12/0.34 cnf(c11, axiom, % 0.12/0.34 product(X6,X7,multiply(X6,X7))). % 0.12/0.34 cnf(a6, assumption, % 0.12/0.34 X2 = X6). % 0.12/0.34 cnf(a7, assumption, % 0.12/0.34 X3 = X7). % 0.12/0.34 cnf(a8, assumption, % 0.12/0.34 X0 = multiply(X6,X7)). % 0.12/0.34 cnf(c12, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c9, c11])). % 0.12/0.34 cnf(c13, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c9, c11])). % 0.12/0.34 % 0.12/0.34 cnf(c14, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(constraint_solving, [ % 0.12/0.34 bind(X0, multiply(a,inverse(a))), % 0.12/0.34 bind(X1, identity), % 0.12/0.34 bind(X2, a), % 0.12/0.34 bind(X3, inverse(X5)), % 0.12/0.34 bind(X4, identity), % 0.12/0.34 bind(X5, a), % 0.12/0.34 bind(X6, a), % 0.12/0.34 bind(X7, inverse(X5)) % 0.12/0.34 ], % 0.12/0.34 [a0, a1, a2, a3, a4, a5, a6, a7, a8])). % 0.12/0.34 % 0.12/0.34 % SZS output end IncompleteProof %------------------------------------------------------------------------------