%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP034-4 : 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 : n008.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 10:08:42 EDT 2022 % Result : Unsatisfiable 0.12s 0.34s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : GRP034-4 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n008.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 : Tue Jun 14 10:26:52 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 ~subgroup_member(inverse(a))). % 0.12/0.34 cnf(c1, plain, % 0.12/0.34 ~subgroup_member(inverse(a)), % 0.12/0.34 inference(start, [], [c0])). % 0.12/0.34 % 0.12/0.34 cnf(c2, axiom, % 0.12/0.34 subgroup_member(X0) | ~product(X1,inverse(X2),X0) | ~subgroup_member(X1) | ~subgroup_member(X2)). % 0.12/0.34 cnf(a0, assumption, % 0.12/0.34 inverse(a) = X0). % 0.12/0.34 cnf(c3, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.34 cnf(c4, plain, % 0.12/0.34 ~product(X1,inverse(X2),X0) | ~subgroup_member(X1) | ~subgroup_member(X2), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.34 % 0.12/0.34 cnf(c5, axiom, % 0.12/0.34 product(identity,X3,X3)). % 0.12/0.34 cnf(a1, assumption, % 0.12/0.34 X1 = identity). % 0.12/0.34 cnf(a2, assumption, % 0.12/0.34 inverse(X2) = X3). % 0.12/0.34 cnf(a3, assumption, % 0.12/0.34 X0 = X3). % 0.12/0.34 cnf(c6, plain, % 0.12/0.34 ~subgroup_member(X1) | ~subgroup_member(X2), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a1, a2, a3])], [c4, c5])). % 0.12/0.34 cnf(c7, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a1, a2, a3])], [c4, c5])). % 0.12/0.34 % 0.12/0.34 cnf(c8, axiom, % 0.12/0.34 subgroup_member(X4) | ~product(X5,inverse(X6),X4) | ~subgroup_member(X5) | ~subgroup_member(X6)). % 0.12/0.34 cnf(a4, assumption, % 0.12/0.34 X1 = X4). % 0.12/0.34 cnf(c9, plain, % 0.12/0.34 ~subgroup_member(X2), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a4])], [c6, c8])). % 0.12/0.34 cnf(c10, plain, % 0.12/0.34 ~product(X5,inverse(X6),X4) | ~subgroup_member(X5) | ~subgroup_member(X6), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a4])], [c6, c8])). % 0.12/0.34 % 0.12/0.34 cnf(c11, axiom, % 0.12/0.34 product(X7,inverse(X7),identity)). % 0.12/0.34 cnf(a5, assumption, % 0.12/0.34 X5 = X7). % 0.12/0.34 cnf(a6, assumption, % 0.12/0.34 inverse(X6) = inverse(X7)). % 0.12/0.34 cnf(a7, assumption, % 0.12/0.34 X4 = identity). % 0.12/0.34 cnf(c12, plain, % 0.12/0.34 ~subgroup_member(X5) | ~subgroup_member(X6), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c10, c11])). % 0.12/0.34 cnf(c13, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c10, c11])). % 0.12/0.34 % 0.12/0.34 cnf(c14, axiom, % 0.12/0.34 subgroup_member(a)). % 0.12/0.34 cnf(a8, assumption, % 0.12/0.34 X5 = a). % 0.12/0.34 cnf(c15, plain, % 0.12/0.34 ~subgroup_member(X6), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a8])], [c12, c14])). % 0.12/0.34 cnf(c16, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a8])], [c12, c14])). % 0.12/0.34 % 0.12/0.34 cnf(c17, plain, % 0.12/0.34 subgroup_member(X5)). % 0.12/0.34 cnf(a9, assumption, % 0.12/0.34 X6 = X5). % 0.12/0.34 cnf(c18, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(predicate_reduction, [assumptions([a9])], [c15, c17])). % 0.12/0.34 % 0.12/0.34 cnf(c19, plain, % 0.12/0.34 subgroup_member(X5)). % 0.12/0.34 cnf(a10, assumption, % 0.12/0.34 X2 = X5). % 0.12/0.34 cnf(c20, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(predicate_reduction, [assumptions([a10])], [c9, c19])). % 0.12/0.34 % 0.12/0.34 cnf(c21, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(constraint_solving, [ % 0.12/0.34 bind(X0, inverse(a)), % 0.12/0.34 bind(X1, identity), % 0.12/0.34 bind(X2, a), % 0.12/0.34 bind(X3, inverse(X2)), % 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, a) % 0.12/0.34 ], % 0.12/0.34 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])). % 0.12/0.34 % 0.12/0.34 % SZS output end IncompleteProof %------------------------------------------------------------------------------