%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP036-3 : 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 : n020.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 0.13s 0.36s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GRP036-3 : TPTP v8.1.0. Released v1.0.0. % 0.11/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n020.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % 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 18:05:20 EDT 2022 % 0.13/0.34 % CPUTime : % 0.13/0.36 % SZS status Unsatisfiable % 0.13/0.36 % SZS output begin IncompleteProof % 0.13/0.36 cnf(c0, axiom, % 0.13/0.36 identity != another_identity). % 0.13/0.36 cnf(c1, plain, % 0.13/0.36 identity != another_identity, % 0.13/0.36 inference(start, [], [c0])). % 0.13/0.36 % 0.13/0.36 cnf(c2, axiom, % 0.13/0.36 X0 = X1 | ~product(X2,X3,X1) | ~product(X2,X3,X0)). % 0.13/0.36 cnf(a0, assumption, % 0.13/0.36 another_identity = X0). % 0.13/0.36 cnf(c3, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.36 cnf(c4, plain, % 0.13/0.36 ~product(X2,X3,X1) | ~product(X2,X3,X0), % 0.13/0.36 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.36 cnf(c5, plain, % 0.13/0.36 X1 != X4 | identity != X4, % 0.13/0.36 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.36 % 0.13/0.36 cnf(a1, assumption, % 0.13/0.36 X1 = X4). % 0.13/0.36 cnf(c6, plain, % 0.13/0.36 identity != X4, % 0.13/0.36 inference(reflexivity, [assumptions([a1])], [c5])). % 0.13/0.36 % 0.13/0.36 cnf(a2, assumption, % 0.13/0.36 identity = X4). % 0.13/0.36 cnf(c7, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(reflexivity, [assumptions([a2])], [c6])). % 0.13/0.36 % 0.13/0.36 cnf(c8, axiom, % 0.13/0.36 product(X5,X6,X7) | ~product(X8,X9,X7) | ~product(X10,X6,X9) | ~product(X8,X10,X5)). % 0.13/0.36 cnf(a3, assumption, % 0.13/0.36 X2 = X5). % 0.13/0.36 cnf(a4, assumption, % 0.13/0.36 X3 = X6). % 0.13/0.36 cnf(a5, assumption, % 0.13/0.36 X1 = X7). % 0.13/0.36 cnf(c9, plain, % 0.13/0.36 ~product(X2,X3,X0), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 0.13/0.36 cnf(c10, plain, % 0.13/0.36 ~product(X8,X9,X7) | ~product(X10,X6,X9) | ~product(X8,X10,X5), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 0.13/0.36 % 0.13/0.36 cnf(c11, axiom, % 0.13/0.36 product(inverse(X11),X11,identity)). % 0.13/0.36 cnf(a6, assumption, % 0.13/0.36 X8 = inverse(X11)). % 0.13/0.36 cnf(a7, assumption, % 0.13/0.36 X9 = X11). % 0.13/0.36 cnf(a8, assumption, % 0.13/0.36 X7 = identity). % 0.13/0.36 cnf(c12, plain, % 0.13/0.36 ~product(X10,X6,X9) | ~product(X8,X10,X5), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c10, c11])). % 0.13/0.36 cnf(c13, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c10, c11])). % 0.13/0.36 % 0.13/0.36 cnf(c14, axiom, % 0.13/0.36 product(X12,another_identity,X12) | ~subgroup_member(X12)). % 0.13/0.36 cnf(a9, assumption, % 0.13/0.36 X10 = X12). % 0.13/0.36 cnf(a10, assumption, % 0.13/0.36 X6 = another_identity). % 0.13/0.36 cnf(a11, assumption, % 0.13/0.36 X9 = X12). % 0.13/0.36 cnf(c15, plain, % 0.13/0.36 ~product(X8,X10,X5), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c12, c14])). % 0.13/0.36 cnf(c16, plain, % 0.13/0.36 ~subgroup_member(X12), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c12, c14])). % 0.13/0.36 % 0.13/0.36 cnf(c17, axiom, % 0.13/0.36 subgroup_member(another_identity)). % 0.13/0.36 cnf(a12, assumption, % 0.13/0.36 X12 = another_identity). % 0.13/0.36 cnf(c18, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a12])], [c16, c17])). % 0.13/0.36 cnf(c19, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a12])], [c16, c17])). % 0.13/0.36 % 0.13/0.36 cnf(c20, plain, % 0.13/0.36 product(X8,X9,X7)). % 0.13/0.36 cnf(a13, assumption, % 0.13/0.36 X8 = X8). % 0.13/0.36 cnf(a14, assumption, % 0.13/0.36 X10 = X9). % 0.13/0.36 cnf(a15, assumption, % 0.13/0.36 X5 = X7). % 0.13/0.36 cnf(c21, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(predicate_reduction, [assumptions([a13, a14, a15])], [c15, c20])). % 0.13/0.36 % 0.13/0.36 cnf(c22, axiom, % 0.13/0.36 product(identity,X13,X13)). % 0.13/0.36 cnf(a16, assumption, % 0.13/0.36 X2 = identity). % 0.13/0.36 cnf(a17, assumption, % 0.13/0.36 X3 = X13). % 0.13/0.36 cnf(a18, assumption, % 0.13/0.36 X0 = X13). % 0.13/0.36 cnf(c23, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c9, c22])). % 0.13/0.36 cnf(c24, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c9, c22])). % 0.13/0.36 % 0.13/0.36 cnf(c25, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(constraint_solving, [ % 0.13/0.36 bind(X0, another_identity), % 0.13/0.36 bind(X1, identity), % 0.13/0.36 bind(X2, identity), % 0.13/0.36 bind(X3, another_identity), % 0.13/0.36 bind(X4, identity), % 0.13/0.36 bind(X5, identity), % 0.13/0.36 bind(X6, another_identity), % 0.13/0.36 bind(X7, identity), % 0.13/0.36 bind(X8, inverse(X11)), % 0.13/0.36 bind(X9, another_identity), % 0.13/0.36 bind(X10, another_identity), % 0.13/0.36 bind(X11, another_identity), % 0.13/0.36 bind(X12, another_identity), % 0.13/0.36 bind(X13, another_identity) % 0.13/0.36 ], % 0.13/0.36 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18])). % 0.13/0.36 % 0.13/0.36 % SZS output end IncompleteProof %------------------------------------------------------------------------------