%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : BOO012-3 : 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 : n029.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 : Thu Jul 14 23:43:11 EDT 2022 % Result : Unsatisfiable 234.32s 30.93s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : BOO012-3 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.08/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.35 % Computer : n029.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Wed Jun 1 16:35:15 EDT 2022 % 0.14/0.35 % CPUTime : % 234.32/30.93 % SZS status Unsatisfiable % 234.32/30.93 % SZS output begin IncompleteProof % 234.32/30.93 cnf(c0, axiom, % 234.32/30.93 x != inverse(inverse(x))). % 234.32/30.93 cnf(c1, plain, % 234.32/30.93 x != inverse(inverse(x)), % 234.32/30.93 inference(start, [], [c0])). % 234.32/30.93 % 234.32/30.93 cnf(c2, axiom, % 234.32/30.93 X0 = X1 | ~sum(X2,X3,X1) | ~sum(X2,X3,X0)). % 234.32/30.93 cnf(a0, assumption, % 234.32/30.93 inverse(inverse(x)) = X1). % 234.32/30.93 cnf(c3, plain, % 234.32/30.93 $false, % 234.32/30.93 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 234.32/30.93 cnf(c4, plain, % 234.32/30.93 ~sum(X2,X3,X1) | ~sum(X2,X3,X0), % 234.32/30.93 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 234.32/30.93 cnf(c5, plain, % 234.32/30.93 X0 != X4 | x != X4, % 234.32/30.93 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 234.32/30.93 % 234.32/30.93 cnf(a1, assumption, % 234.32/30.93 X0 = X4). % 234.32/30.93 cnf(c6, plain, % 234.32/30.93 x != X4, % 234.32/30.93 inference(reflexivity, [assumptions([a1])], [c5])). % 234.32/30.93 % 234.32/30.93 cnf(a2, assumption, % 234.32/30.93 x = X4). % 234.32/30.93 cnf(c7, plain, % 234.32/30.93 $false, % 234.32/30.93 inference(reflexivity, [assumptions([a2])], [c6])). % 234.32/30.93 % 234.32/30.93 cnf(c8, axiom, % 234.32/30.93 sum(X5,X6,X7) | ~product(X8,X9,X7) | ~sum(X10,X11,X8) | ~product(X11,X9,X6) | ~product(X10,X9,X5)). % 234.32/30.93 cnf(a3, assumption, % 234.32/30.93 X2 = X5). % 234.32/30.93 cnf(a4, assumption, % 234.32/30.93 X3 = X6). % 234.32/30.93 cnf(a5, assumption, % 234.32/30.93 X1 = X7). % 234.32/30.93 cnf(c9, plain, % 234.32/30.93 ~sum(X2,X3,X0), % 234.32/30.93 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 234.32/30.93 cnf(c10, plain, % 234.32/30.93 ~product(X8,X9,X7) | ~sum(X10,X11,X8) | ~product(X11,X9,X6) | ~product(X10,X9,X5), % 234.32/30.93 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 234.32/30.93 % 234.32/30.93 cnf(c11, axiom, % 234.32/30.93 product(multiplicative_identity,X12,X12)). % 234.32/30.93 cnf(a6, assumption, % 234.32/30.93 X8 = multiplicative_identity). % 234.32/30.93 cnf(a7, assumption, % 234.32/30.93 X9 = X12). % 234.32/30.93 cnf(a8, assumption, % 234.32/30.93 X7 = X12). % 234.32/30.93 cnf(c12, plain, % 234.32/30.93 ~sum(X10,X11,X8) | ~product(X11,X9,X6) | ~product(X10,X9,X5), % 234.32/30.93 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c10, c11])). % 234.32/30.93 cnf(c13, plain, % 234.32/30.93 $false, % 234.32/30.93 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c10, c11])). % 234.32/30.93 % 234.32/30.93 cnf(c14, axiom, % 234.32/30.93 sum(X13,inverse(X13),multiplicative_identity)). % 234.32/30.93 cnf(a9, assumption, % 234.32/30.93 X10 = X13). % 234.32/30.93 cnf(a10, assumption, % 234.32/30.93 X11 = inverse(X13)). % 234.32/30.93 cnf(a11, assumption, % 234.32/30.93 X8 = multiplicative_identity). % 234.32/30.93 cnf(c15, plain, % 234.32/30.93 ~product(X11,X9,X6) | ~product(X10,X9,X5), % 234.32/30.93 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c12, c14])). % 234.32/30.93 cnf(c16, plain, % 234.32/30.93 $false, % 234.32/30.93 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c12, c14])). % 234.32/30.93 % 234.32/30.93 cnf(c17, axiom, % 234.32/30.93 product(X14,inverse(X14),additive_identity)). % 234.32/30.93 cnf(a12, assumption, % 234.32/30.93 X11 = X14). % 234.32/30.93 cnf(a13, assumption, % 234.32/30.93 X9 = inverse(X14)). % 234.32/30.93 cnf(a14, assumption, % 234.32/30.93 X6 = additive_identity). % 234.32/30.93 cnf(c18, plain, % 234.32/30.93 ~product(X10,X9,X5), % 234.32/30.93 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c17])). % 234.32/30.93 cnf(c19, plain, % 234.32/30.93 $false, % 234.32/30.93 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c17])). % 234.32/30.93 % 234.32/30.93 cnf(c20, axiom, % 234.32/30.93 product(X15,X16,multiply(X15,X16))). % 234.32/30.93 cnf(a15, assumption, % 234.32/30.93 X10 = X15). % 234.32/30.93 cnf(a16, assumption, % 234.32/30.93 X9 = X16). % 234.32/30.93 cnf(a17, assumption, % 234.32/30.93 X5 = multiply(X15,X16)). % 234.32/30.93 cnf(c21, plain, % 234.32/30.93 $false, % 234.32/30.93 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c18, c20])). % 234.32/30.93 cnf(c22, plain, % 234.32/30.93 $false, % 234.32/30.93 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c18, c20])). % 234.32/30.93 % 234.32/30.93 cnf(c23, axiom, % 234.32/30.94 sum(X17,X18,X19) | ~product(X20,X21,X19) | ~sum(X22,X23,X21) | ~product(X20,X23,X18) | ~product(X20,X22,X17)). % 234.32/30.94 cnf(a18, assumption, % 234.32/30.94 X2 = X17). % 234.32/30.94 cnf(a19, assumption, % 234.32/30.94 X3 = X18). % 234.32/30.94 cnf(a20, assumption, % 234.32/30.94 X0 = X19). % 234.32/30.94 cnf(c24, plain, % 234.32/30.94 $false, % 234.32/30.94 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c9, c23])). % 234.32/30.94 cnf(c25, plain, % 234.32/30.94 ~product(X20,X21,X19) | ~sum(X22,X23,X21) | ~product(X20,X23,X18) | ~product(X20,X22,X17), % 234.32/30.94 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c9, c23])). % 234.32/30.94 % 234.32/30.94 cnf(c26, axiom, % 234.32/30.94 product(X24,multiplicative_identity,X24)). % 234.32/30.94 cnf(a21, assumption, % 234.32/30.94 X20 = X24). % 234.32/30.94 cnf(a22, assumption, % 234.32/30.94 X21 = multiplicative_identity). % 234.32/30.94 cnf(a23, assumption, % 234.32/30.94 X19 = X24). % 234.32/30.94 cnf(c27, plain, % 234.32/30.94 ~sum(X22,X23,X21) | ~product(X20,X23,X18) | ~product(X20,X22,X17), % 234.32/30.94 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c25, c26])). % 234.32/30.94 cnf(c28, plain, % 234.32/30.94 $false, % 234.32/30.94 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c25, c26])). % 234.32/30.94 % 234.32/30.94 cnf(c29, axiom, % 234.32/30.94 sum(inverse(X25),X25,multiplicative_identity)). % 234.32/30.94 cnf(a24, assumption, % 234.32/30.94 X22 = inverse(X25)). % 234.32/30.94 cnf(a25, assumption, % 234.32/30.94 X23 = X25). % 234.32/30.94 cnf(a26, assumption, % 234.32/30.94 X21 = multiplicative_identity). % 234.32/30.94 cnf(c30, plain, % 234.32/30.94 ~product(X20,X23,X18) | ~product(X20,X22,X17), % 234.32/30.94 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c27, c29])). % 234.32/30.94 cnf(c31, plain, % 234.32/30.94 $false, % 234.32/30.94 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c27, c29])). % 234.32/30.94 % 234.32/30.94 cnf(c32, axiom, % 234.32/30.94 product(X26,inverse(X26),additive_identity)). % 234.32/30.94 cnf(a27, assumption, % 234.32/30.94 X20 = X26). % 234.32/30.94 cnf(a28, assumption, % 234.32/30.94 X23 = inverse(X26)). % 234.32/30.94 cnf(a29, assumption, % 234.32/30.94 X18 = additive_identity). % 234.32/30.94 cnf(c33, plain, % 234.32/30.94 ~product(X20,X22,X17), % 234.32/30.94 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c30, c32])). % 234.32/30.94 cnf(c34, plain, % 234.32/30.94 $false, % 234.32/30.94 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c30, c32])). % 234.32/30.94 % 234.32/30.94 cnf(c35, plain, % 234.32/30.94 product(X10,X9,X5)). % 234.32/30.94 cnf(a30, assumption, % 234.32/30.94 X20 = X10). % 234.32/30.94 cnf(a31, assumption, % 234.32/30.94 X22 = X9). % 234.32/30.94 cnf(a32, assumption, % 234.32/30.94 X17 = X5). % 234.32/30.94 cnf(c36, plain, % 234.32/30.94 $false, % 234.32/30.94 inference(predicate_reduction, [assumptions([a30, a31, a32])], [c33, c35])). % 234.32/30.94 % 234.32/30.94 cnf(c37, plain, % 234.32/30.94 $false, % 234.32/30.94 inference(constraint_solving, [ % 234.32/30.94 bind(X0, x), % 234.32/30.94 bind(X1, inverse(inverse(x))), % 234.32/30.94 bind(X2, multiply(X15,X16)), % 234.32/30.94 bind(X3, additive_identity), % 234.32/30.94 bind(X4, x), % 234.32/30.94 bind(X5, multiply(X15,X16)), % 234.32/30.94 bind(X6, additive_identity), % 234.32/30.94 bind(X7, inverse(inverse(x))), % 234.32/30.94 bind(X8, multiplicative_identity), % 234.32/30.94 bind(X9, inverse(inverse(x))), % 234.32/30.94 bind(X10, x), % 234.32/30.94 bind(X11, inverse(X13)), % 234.32/30.94 bind(X12, inverse(inverse(x))), % 234.32/30.94 bind(X13, x), % 234.32/30.94 bind(X14, inverse(X13)), % 234.32/30.94 bind(X15, x), % 234.32/30.94 bind(X16, inverse(inverse(x))), % 234.32/30.94 bind(X17, multiply(X15,X16)), % 234.32/30.94 bind(X18, additive_identity), % 234.32/30.94 bind(X19, x), % 234.32/30.94 bind(X20, x), % 234.32/30.94 bind(X21, multiplicative_identity), % 234.32/30.94 bind(X22, inverse(X25)), % 234.32/30.94 bind(X23, inverse(X26)), % 234.32/30.94 bind(X24, x), % 234.32/30.94 bind(X25, inverse(X26)), % 234.32/30.94 bind(X26, x) % 234.32/30.94 ], % 234.32/30.94 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32])). % 234.32/30.94 % 234.32/30.94 % SZS output end IncompleteProof %------------------------------------------------------------------------------