%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP012-2 : 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 : n010.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 10:08:33 EDT 2022 % Result : Unsatisfiable 2.49s 0.67s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP012-2 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n010.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 : Tue Jun 14 09:46:39 EDT 2022 % 0.13/0.34 % CPUTime : % 2.49/0.67 % SZS status Unsatisfiable % 2.49/0.67 % SZS output begin IncompleteProof % 2.49/0.67 cnf(c0, axiom, % 2.49/0.67 d != inverse(c)). % 2.49/0.67 cnf(c1, plain, % 2.49/0.67 d != inverse(c), % 2.49/0.67 inference(start, [], [c0])). % 2.49/0.67 % 2.49/0.67 cnf(c2, axiom, % 2.49/0.67 X0 = X1 | ~product(X2,X3,X1) | ~product(X2,X3,X0)). % 2.49/0.67 cnf(a0, assumption, % 2.49/0.67 inverse(c) = X0). % 2.49/0.67 cnf(c3, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 2.49/0.67 cnf(c4, plain, % 2.49/0.67 ~product(X2,X3,X1) | ~product(X2,X3,X0), % 2.49/0.67 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 2.49/0.67 cnf(c5, plain, % 2.49/0.67 X1 != X4 | d != X4, % 2.49/0.67 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 2.49/0.67 % 2.49/0.67 cnf(a1, assumption, % 2.49/0.67 X1 = X4). % 2.49/0.67 cnf(c6, plain, % 2.49/0.67 d != X4, % 2.49/0.67 inference(reflexivity, [assumptions([a1])], [c5])). % 2.49/0.67 % 2.49/0.67 cnf(a2, assumption, % 2.49/0.67 d = X4). % 2.49/0.67 cnf(c7, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(reflexivity, [assumptions([a2])], [c6])). % 2.49/0.67 % 2.49/0.67 cnf(c8, axiom, % 2.49/0.67 product(identity,X5,X5)). % 2.49/0.67 cnf(a3, assumption, % 2.49/0.67 X2 = identity). % 2.49/0.67 cnf(a4, assumption, % 2.49/0.67 X3 = X5). % 2.49/0.67 cnf(a5, assumption, % 2.49/0.67 X1 = X5). % 2.49/0.67 cnf(c9, plain, % 2.49/0.67 ~product(X2,X3,X0), % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 2.49/0.67 cnf(c10, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 2.49/0.67 % 2.49/0.67 cnf(c11, axiom, % 2.49/0.67 product(X6,X7,X8) | ~product(X9,X10,X8) | ~product(X11,X7,X10) | ~product(X9,X11,X6)). % 2.49/0.67 cnf(a6, assumption, % 2.49/0.67 X2 = X6). % 2.49/0.67 cnf(a7, assumption, % 2.49/0.67 X3 = X7). % 2.49/0.67 cnf(a8, assumption, % 2.49/0.67 X0 = X8). % 2.49/0.67 cnf(c12, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c9, c11])). % 2.49/0.67 cnf(c13, plain, % 2.49/0.67 ~product(X9,X10,X8) | ~product(X11,X7,X10) | ~product(X9,X11,X6), % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c9, c11])). % 2.49/0.67 % 2.49/0.67 cnf(c14, axiom, % 2.49/0.67 product(X12,identity,X12)). % 2.49/0.67 cnf(a9, assumption, % 2.49/0.67 X9 = X12). % 2.49/0.67 cnf(a10, assumption, % 2.49/0.67 X10 = identity). % 2.49/0.67 cnf(a11, assumption, % 2.49/0.67 X8 = X12). % 2.49/0.67 cnf(c15, plain, % 2.49/0.67 ~product(X11,X7,X10) | ~product(X9,X11,X6), % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c13, c14])). % 2.49/0.67 cnf(c16, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c13, c14])). % 2.49/0.67 % 2.49/0.67 cnf(c17, axiom, % 2.49/0.67 product(X13,X14,X15) | ~product(X16,X17,X15) | ~product(X18,X17,X14) | ~product(X13,X18,X16)). % 2.49/0.67 cnf(a12, assumption, % 2.49/0.67 X11 = X13). % 2.49/0.67 cnf(a13, assumption, % 2.49/0.67 X7 = X14). % 2.49/0.67 cnf(a14, assumption, % 2.49/0.67 X10 = X15). % 2.49/0.67 cnf(c18, plain, % 2.49/0.67 ~product(X9,X11,X6), % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c17])). % 2.49/0.67 cnf(c19, plain, % 2.49/0.67 ~product(X16,X17,X15) | ~product(X18,X17,X14) | ~product(X13,X18,X16), % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c17])). % 2.49/0.67 % 2.49/0.67 cnf(c20, axiom, % 2.49/0.67 product(X19,inverse(X19),identity)). % 2.49/0.67 cnf(a15, assumption, % 2.49/0.67 X16 = X19). % 2.49/0.67 cnf(a16, assumption, % 2.49/0.67 X17 = inverse(X19)). % 2.49/0.67 cnf(a17, assumption, % 2.49/0.67 X15 = identity). % 2.49/0.67 cnf(c21, plain, % 2.49/0.67 ~product(X18,X17,X14) | ~product(X13,X18,X16), % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c19, c20])). % 2.49/0.67 cnf(c22, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c19, c20])). % 2.49/0.67 % 2.49/0.67 cnf(c23, axiom, % 2.49/0.67 product(inverse(b),inverse(a),d)). % 2.49/0.67 cnf(a18, assumption, % 2.49/0.67 X18 = inverse(b)). % 2.49/0.67 cnf(a19, assumption, % 2.49/0.67 X17 = inverse(a)). % 2.49/0.67 cnf(a20, assumption, % 2.49/0.67 X14 = d). % 2.49/0.67 cnf(c24, plain, % 2.49/0.67 ~product(X13,X18,X16), % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c21, c23])). % 2.49/0.67 cnf(c25, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c21, c23])). % 2.49/0.67 % 2.49/0.67 cnf(c26, axiom, % 2.49/0.67 product(X20,X21,X22) | ~product(X23,X24,X22) | ~product(X25,X21,X24) | ~product(X23,X25,X20)). % 2.49/0.67 cnf(a21, assumption, % 2.49/0.67 X13 = X20). % 2.49/0.67 cnf(a22, assumption, % 2.49/0.67 X18 = X21). % 2.49/0.67 cnf(a23, assumption, % 2.49/0.67 X16 = X22). % 2.49/0.67 cnf(c27, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c24, c26])). % 2.49/0.67 cnf(c28, plain, % 2.49/0.67 ~product(X23,X24,X22) | ~product(X25,X21,X24) | ~product(X23,X25,X20), % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c24, c26])). % 2.49/0.67 % 2.49/0.67 cnf(c29, axiom, % 2.49/0.67 product(X26,identity,X26)). % 2.49/0.67 cnf(a24, assumption, % 2.49/0.67 X23 = X26). % 2.49/0.67 cnf(a25, assumption, % 2.49/0.67 X24 = identity). % 2.49/0.67 cnf(a26, assumption, % 2.49/0.67 X22 = X26). % 2.49/0.67 cnf(c30, plain, % 2.49/0.67 ~product(X25,X21,X24) | ~product(X23,X25,X20), % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c28, c29])). % 2.49/0.67 cnf(c31, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c28, c29])). % 2.49/0.67 % 2.49/0.67 cnf(c32, axiom, % 2.49/0.67 product(X27,inverse(X27),identity)). % 2.49/0.67 cnf(a27, assumption, % 2.49/0.67 X25 = X27). % 2.49/0.67 cnf(a28, assumption, % 2.49/0.67 X21 = inverse(X27)). % 2.49/0.67 cnf(a29, assumption, % 2.49/0.67 X24 = identity). % 2.49/0.67 cnf(c33, plain, % 2.49/0.67 ~product(X23,X25,X20), % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c30, c32])). % 2.49/0.67 cnf(c34, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c30, c32])). % 2.49/0.67 % 2.49/0.67 cnf(c35, axiom, % 2.49/0.67 product(a,b,c)). % 2.49/0.67 cnf(a30, assumption, % 2.49/0.67 X23 = a). % 2.49/0.67 cnf(a31, assumption, % 2.49/0.67 X25 = b). % 2.49/0.67 cnf(a32, assumption, % 2.49/0.67 X20 = c). % 2.49/0.67 cnf(c36, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c33, c35])). % 2.49/0.67 cnf(c37, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c33, c35])). % 2.49/0.67 % 2.49/0.67 cnf(c38, axiom, % 2.49/0.67 product(inverse(X28),X28,identity)). % 2.49/0.67 cnf(a33, assumption, % 2.49/0.67 X9 = inverse(X28)). % 2.49/0.67 cnf(a34, assumption, % 2.49/0.67 X11 = X28). % 2.49/0.67 cnf(a35, assumption, % 2.49/0.67 X6 = identity). % 2.49/0.67 cnf(c39, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c18, c38])). % 2.49/0.67 cnf(c40, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c18, c38])). % 2.49/0.67 % 2.49/0.67 cnf(c41, plain, % 2.49/0.67 $false, % 2.49/0.67 inference(constraint_solving, [ % 2.49/0.67 bind(X0, inverse(c)), % 2.49/0.67 bind(X1, d), % 2.49/0.67 bind(X2, identity), % 2.49/0.67 bind(X3, d), % 2.49/0.67 bind(X4, d), % 2.49/0.67 bind(X5, d), % 2.49/0.67 bind(X6, identity), % 2.49/0.67 bind(X7, d), % 2.49/0.67 bind(X8, inverse(c)), % 2.49/0.67 bind(X9, inverse(c)), % 2.49/0.67 bind(X10, identity), % 2.49/0.67 bind(X11, c), % 2.49/0.67 bind(X12, inverse(c)), % 2.49/0.67 bind(X13, c), % 2.49/0.67 bind(X14, d), % 2.49/0.67 bind(X15, identity), % 2.49/0.67 bind(X16, a), % 2.49/0.67 bind(X17, inverse(X19)), % 2.49/0.67 bind(X18, inverse(b)), % 2.49/0.67 bind(X19, a), % 2.49/0.67 bind(X20, c), % 2.49/0.67 bind(X21, inverse(b)), % 2.49/0.67 bind(X22, a), % 2.49/0.67 bind(X23, a), % 2.49/0.67 bind(X24, identity), % 2.49/0.67 bind(X25, b), % 2.49/0.67 bind(X26, a), % 2.49/0.67 bind(X27, b), % 2.49/0.67 bind(X28, c) % 2.49/0.67 ], % 2.49/0.67 [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, a33, a34, a35])). % 2.49/0.67 % 2.49/0.67 % SZS output end IncompleteProof %------------------------------------------------------------------------------