%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : BOO012-1 : 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 : n017.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 3.79s 0.88s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : BOO012-1 : TPTP v8.1.0. Released v1.0.0. % 0.06/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n017.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 : Wed Jun 1 14:35:57 EDT 2022 % 0.13/0.34 % CPUTime : % 3.79/0.88 % SZS status Unsatisfiable % 3.79/0.88 % SZS output begin IncompleteProof % 3.79/0.88 cnf(c0, axiom, % 3.79/0.88 x != inverse(inverse(x))). % 3.79/0.88 cnf(c1, plain, % 3.79/0.88 x != inverse(inverse(x)), % 3.79/0.88 inference(start, [], [c0])). % 3.79/0.88 % 3.79/0.88 cnf(c2, axiom, % 3.79/0.88 X0 = X1 | ~sum(X2,X3,X1) | ~sum(X2,X3,X0)). % 3.79/0.88 cnf(a0, assumption, % 3.79/0.88 inverse(inverse(x)) = X1). % 3.79/0.88 cnf(c3, plain, % 3.79/0.88 $false, % 3.79/0.88 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 3.79/0.88 cnf(c4, plain, % 3.79/0.88 ~sum(X2,X3,X1) | ~sum(X2,X3,X0), % 3.79/0.88 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 3.79/0.88 cnf(c5, plain, % 3.79/0.88 X0 != X4 | x != X4, % 3.79/0.88 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 3.79/0.88 % 3.79/0.88 cnf(a1, assumption, % 3.79/0.88 X0 = X4). % 3.79/0.88 cnf(c6, plain, % 3.79/0.88 x != X4, % 3.79/0.88 inference(reflexivity, [assumptions([a1])], [c5])). % 3.79/0.88 % 3.79/0.88 cnf(a2, assumption, % 3.79/0.88 x = X4). % 3.79/0.88 cnf(c7, plain, % 3.79/0.88 $false, % 3.79/0.88 inference(reflexivity, [assumptions([a2])], [c6])). % 3.79/0.88 % 3.79/0.88 cnf(c8, axiom, % 3.79/0.88 sum(additive_identity,X5,X5)). % 3.79/0.88 cnf(a3, assumption, % 3.79/0.88 X2 = additive_identity). % 3.79/0.88 cnf(a4, assumption, % 3.79/0.88 X3 = X5). % 3.79/0.88 cnf(a5, assumption, % 3.79/0.88 X1 = X5). % 3.79/0.88 cnf(c9, plain, % 3.79/0.88 ~sum(X2,X3,X0), % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 3.79/0.88 cnf(c10, plain, % 3.79/0.88 $false, % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 3.79/0.88 % 3.79/0.88 cnf(c11, axiom, % 3.79/0.88 sum(X6,X7,X8) | ~product(X9,X10,X8) | ~product(X11,X12,X6) | ~sum(X12,X7,X10) | ~sum(X11,X7,X9)). % 3.79/0.88 cnf(a6, assumption, % 3.79/0.88 X2 = X6). % 3.79/0.88 cnf(a7, assumption, % 3.79/0.88 X3 = X7). % 3.79/0.88 cnf(a8, assumption, % 3.79/0.88 X0 = X8). % 3.79/0.88 cnf(c12, plain, % 3.79/0.88 $false, % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c9, c11])). % 3.79/0.88 cnf(c13, plain, % 3.79/0.88 ~product(X9,X10,X8) | ~product(X11,X12,X6) | ~sum(X12,X7,X10) | ~sum(X11,X7,X9), % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c9, c11])). % 3.79/0.88 % 3.79/0.88 cnf(c14, axiom, % 3.79/0.88 product(X13,X14,X15) | ~sum(X16,X17,X15) | ~product(X18,X19,X17) | ~sum(X16,X19,X14) | ~sum(X16,X18,X13)). % 3.79/0.88 cnf(a9, assumption, % 3.79/0.88 X9 = X13). % 3.79/0.88 cnf(a10, assumption, % 3.79/0.88 X10 = X14). % 3.79/0.88 cnf(a11, assumption, % 3.79/0.88 X8 = X15). % 3.79/0.88 cnf(c15, plain, % 3.79/0.88 ~product(X11,X12,X6) | ~sum(X12,X7,X10) | ~sum(X11,X7,X9), % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c13, c14])). % 3.79/0.88 cnf(c16, plain, % 3.79/0.88 ~sum(X16,X17,X15) | ~product(X18,X19,X17) | ~sum(X16,X19,X14) | ~sum(X16,X18,X13), % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c13, c14])). % 3.79/0.88 % 3.79/0.88 cnf(c17, axiom, % 3.79/0.88 sum(X20,additive_identity,X20)). % 3.79/0.88 cnf(a12, assumption, % 3.79/0.88 X16 = X20). % 3.79/0.88 cnf(a13, assumption, % 3.79/0.88 X17 = additive_identity). % 3.79/0.88 cnf(a14, assumption, % 3.79/0.88 X15 = X20). % 3.79/0.88 cnf(c18, plain, % 3.79/0.88 ~product(X18,X19,X17) | ~sum(X16,X19,X14) | ~sum(X16,X18,X13), % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c16, c17])). % 3.79/0.88 cnf(c19, plain, % 3.79/0.88 $false, % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c16, c17])). % 3.79/0.88 % 3.79/0.88 cnf(c20, axiom, % 3.79/0.88 product(X21,inverse(X21),additive_identity)). % 3.79/0.88 cnf(a15, assumption, % 3.79/0.88 X18 = X21). % 3.79/0.88 cnf(a16, assumption, % 3.79/0.88 X19 = inverse(X21)). % 3.79/0.88 cnf(a17, assumption, % 3.79/0.88 X17 = additive_identity). % 3.79/0.88 cnf(c21, plain, % 3.79/0.88 ~sum(X16,X19,X14) | ~sum(X16,X18,X13), % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c18, c20])). % 3.79/0.88 cnf(c22, plain, % 3.79/0.88 $false, % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c18, c20])). % 3.79/0.88 % 3.79/0.88 cnf(c23, axiom, % 3.79/0.88 sum(X22,X23,add(X22,X23))). % 3.79/0.88 cnf(a18, assumption, % 3.79/0.88 X16 = X22). % 3.79/0.88 cnf(a19, assumption, % 3.79/0.88 X19 = X23). % 3.79/0.88 cnf(a20, assumption, % 3.79/0.88 X14 = add(X22,X23)). % 3.79/0.88 cnf(c24, plain, % 3.79/0.88 ~sum(X16,X18,X13), % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c21, c23])). % 3.79/0.88 cnf(c25, plain, % 3.79/0.88 $false, % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c21, c23])). % 3.79/0.88 % 3.79/0.88 cnf(c26, axiom, % 3.79/0.88 sum(X24,inverse(X24),multiplicative_identity)). % 3.79/0.88 cnf(a21, assumption, % 3.79/0.88 X16 = X24). % 3.79/0.88 cnf(a22, assumption, % 3.79/0.88 X18 = inverse(X24)). % 3.79/0.88 cnf(a23, assumption, % 3.79/0.88 X13 = multiplicative_identity). % 3.79/0.88 cnf(c27, plain, % 3.79/0.88 $false, % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c24, c26])). % 3.79/0.88 cnf(c28, plain, % 3.79/0.88 $false, % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c24, c26])). % 3.79/0.88 % 3.79/0.88 cnf(c29, axiom, % 3.79/0.88 product(inverse(X25),X25,additive_identity)). % 3.79/0.88 cnf(a24, assumption, % 3.79/0.88 X11 = inverse(X25)). % 3.79/0.88 cnf(a25, assumption, % 3.79/0.88 X12 = X25). % 3.79/0.88 cnf(a26, assumption, % 3.79/0.88 X6 = additive_identity). % 3.79/0.88 cnf(c30, plain, % 3.79/0.88 ~sum(X12,X7,X10) | ~sum(X11,X7,X9), % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c15, c29])). % 3.79/0.88 cnf(c31, plain, % 3.79/0.88 $false, % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c15, c29])). % 3.79/0.88 % 3.79/0.88 cnf(c32, plain, % 3.79/0.88 sum(X16,X19,X14)). % 3.79/0.88 cnf(a27, assumption, % 3.79/0.88 X12 = X16). % 3.79/0.88 cnf(a28, assumption, % 3.79/0.88 X7 = X19). % 3.79/0.88 cnf(a29, assumption, % 3.79/0.88 X10 = X14). % 3.79/0.88 cnf(c33, plain, % 3.79/0.88 ~sum(X11,X7,X9), % 3.79/0.88 inference(predicate_reduction, [assumptions([a27, a28, a29])], [c30, c32])). % 3.79/0.88 % 3.79/0.88 cnf(c34, axiom, % 3.79/0.88 sum(X26,inverse(X26),multiplicative_identity)). % 3.79/0.88 cnf(a30, assumption, % 3.79/0.88 X11 = X26). % 3.79/0.88 cnf(a31, assumption, % 3.79/0.88 X7 = inverse(X26)). % 3.79/0.88 cnf(a32, assumption, % 3.79/0.88 X9 = multiplicative_identity). % 3.79/0.88 cnf(c35, plain, % 3.79/0.88 $false, % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c33, c34])). % 3.79/0.88 cnf(c36, plain, % 3.79/0.88 $false, % 3.79/0.88 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c33, c34])). % 3.79/0.88 % 3.79/0.88 cnf(c37, plain, % 3.79/0.88 $false, % 3.79/0.88 inference(constraint_solving, [ % 3.79/0.88 bind(X0, x), % 3.79/0.88 bind(X1, inverse(inverse(x))), % 3.79/0.88 bind(X2, additive_identity), % 3.79/0.88 bind(X3, inverse(inverse(x))), % 3.79/0.88 bind(X4, x), % 3.79/0.88 bind(X5, inverse(inverse(x))), % 3.79/0.88 bind(X6, additive_identity), % 3.79/0.88 bind(X7, inverse(inverse(x))), % 3.79/0.88 bind(X8, x), % 3.79/0.88 bind(X9, multiplicative_identity), % 3.79/0.88 bind(X10, add(X22,X23)), % 3.79/0.88 bind(X11, inverse(X25)), % 3.79/0.88 bind(X12, x), % 3.79/0.88 bind(X13, multiplicative_identity), % 3.79/0.88 bind(X14, add(X22,X23)), % 3.79/0.88 bind(X15, x), % 3.79/0.88 bind(X16, x), % 3.79/0.88 bind(X17, additive_identity), % 3.79/0.88 bind(X18, inverse(X24)), % 3.79/0.88 bind(X19, inverse(X21)), % 3.79/0.88 bind(X20, x), % 3.79/0.88 bind(X21, inverse(X24)), % 3.79/0.88 bind(X22, x), % 3.79/0.88 bind(X23, inverse(X21)), % 3.79/0.88 bind(X24, x), % 3.79/0.88 bind(X25, x), % 3.79/0.88 bind(X26, inverse(X25)) % 3.79/0.88 ], % 3.79/0.88 [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])). % 3.79/0.88 % 3.79/0.88 % SZS output end IncompleteProof %------------------------------------------------------------------------------