%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP035-3 : 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 : n025.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 83.64s 11.08s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GRP035-3 : TPTP v8.1.0. Released v1.0.0. % 0.12/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.15/0.35 % Computer : n025.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 600 % 0.15/0.35 % DateTime : Tue Jun 14 01:09:24 EDT 2022 % 0.15/0.35 % CPUTime : % 83.64/11.08 % SZS status Unsatisfiable % 83.64/11.08 % SZS output begin IncompleteProof % 83.64/11.08 cnf(c0, axiom, % 83.64/11.08 ~subgroup_member(c)). % 83.64/11.08 cnf(c1, plain, % 83.64/11.08 ~subgroup_member(c), % 83.64/11.08 inference(start, [], [c0])). % 83.64/11.08 % 83.64/11.08 cnf(c2, axiom, % 83.64/11.08 subgroup_member(X0) | ~product(X1,inverse(X2),X0) | ~subgroup_member(X2) | ~subgroup_member(X1)). % 83.64/11.08 cnf(a0, assumption, % 83.64/11.08 c = X0). % 83.64/11.08 cnf(c3, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 83.64/11.08 cnf(c4, plain, % 83.64/11.08 ~product(X1,inverse(X2),X0) | ~subgroup_member(X2) | ~subgroup_member(X1), % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 83.64/11.08 % 83.64/11.08 cnf(c5, axiom, % 83.64/11.08 product(X3,X4,X5) | ~product(X6,X7,X5) | ~product(X8,X4,X7) | ~product(X6,X8,X3)). % 83.64/11.08 cnf(a1, assumption, % 83.64/11.08 X1 = X3). % 83.64/11.08 cnf(a2, assumption, % 83.64/11.08 inverse(X2) = X4). % 83.64/11.08 cnf(a3, assumption, % 83.64/11.08 X0 = X5). % 83.64/11.08 cnf(c6, plain, % 83.64/11.08 ~subgroup_member(X2) | ~subgroup_member(X1), % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a1, a2, a3])], [c4, c5])). % 83.64/11.08 cnf(c7, plain, % 83.64/11.08 ~product(X6,X7,X5) | ~product(X8,X4,X7) | ~product(X6,X8,X3), % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a1, a2, a3])], [c4, c5])). % 83.64/11.08 % 83.64/11.08 cnf(c8, axiom, % 83.64/11.08 product(X9,identity,X9)). % 83.64/11.08 cnf(a4, assumption, % 83.64/11.08 X6 = X9). % 83.64/11.08 cnf(a5, assumption, % 83.64/11.08 X7 = identity). % 83.64/11.08 cnf(a6, assumption, % 83.64/11.08 X5 = X9). % 83.64/11.08 cnf(c9, plain, % 83.64/11.08 ~product(X8,X4,X7) | ~product(X6,X8,X3), % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c7, c8])). % 83.64/11.08 cnf(c10, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c7, c8])). % 83.64/11.08 % 83.64/11.08 cnf(c11, axiom, % 83.64/11.08 product(X10,inverse(X10),identity)). % 83.64/11.08 cnf(a7, assumption, % 83.64/11.08 X8 = X10). % 83.64/11.08 cnf(a8, assumption, % 83.64/11.08 X4 = inverse(X10)). % 83.64/11.08 cnf(a9, assumption, % 83.64/11.08 X7 = identity). % 83.64/11.08 cnf(c12, plain, % 83.64/11.08 ~product(X6,X8,X3), % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c9, c11])). % 83.64/11.08 cnf(c13, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c9, c11])). % 83.64/11.08 % 83.64/11.08 cnf(c14, axiom, % 83.64/11.08 product(X11,X12,X13) | ~product(X14,X15,X13) | ~product(X16,X12,X15) | ~product(X14,X16,X11)). % 83.64/11.08 cnf(a10, assumption, % 83.64/11.08 X6 = X11). % 83.64/11.08 cnf(a11, assumption, % 83.64/11.08 X8 = X12). % 83.64/11.08 cnf(a12, assumption, % 83.64/11.08 X3 = X13). % 83.64/11.08 cnf(c15, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c12, c14])). % 83.64/11.08 cnf(c16, plain, % 83.64/11.08 ~product(X14,X15,X13) | ~product(X16,X12,X15) | ~product(X14,X16,X11), % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c12, c14])). % 83.64/11.08 % 83.64/11.08 cnf(c17, axiom, % 83.64/11.08 product(X17,identity,X17)). % 83.64/11.08 cnf(a13, assumption, % 83.64/11.08 X14 = X17). % 83.64/11.08 cnf(a14, assumption, % 83.64/11.08 X15 = identity). % 83.64/11.08 cnf(a15, assumption, % 83.64/11.08 X13 = X17). % 83.64/11.08 cnf(c18, plain, % 83.64/11.08 ~product(X16,X12,X15) | ~product(X14,X16,X11), % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c16, c17])). % 83.64/11.08 cnf(c19, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c16, c17])). % 83.64/11.08 % 83.64/11.08 cnf(c20, axiom, % 83.64/11.08 product(X18,inverse(X18),identity)). % 83.64/11.08 cnf(a16, assumption, % 83.64/11.08 X16 = X18). % 83.64/11.08 cnf(a17, assumption, % 83.64/11.08 X12 = inverse(X18)). % 83.64/11.08 cnf(a18, assumption, % 83.64/11.08 X15 = identity). % 83.64/11.08 cnf(c21, plain, % 83.64/11.08 ~product(X14,X16,X11), % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c18, c20])). % 83.64/11.08 cnf(c22, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c18, c20])). % 83.64/11.08 % 83.64/11.08 cnf(c23, axiom, % 83.64/11.08 product(a,b,c)). % 83.64/11.08 cnf(a19, assumption, % 83.64/11.08 X14 = a). % 83.64/11.08 cnf(a20, assumption, % 83.64/11.08 X16 = b). % 83.64/11.08 cnf(a21, assumption, % 83.64/11.08 X11 = c). % 83.64/11.08 cnf(c24, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c21, c23])). % 83.64/11.08 cnf(c25, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c21, c23])). % 83.64/11.08 % 83.64/11.08 cnf(c26, axiom, % 83.64/11.08 subgroup_member(X19) | ~product(X20,inverse(X21),X19) | ~subgroup_member(X21) | ~subgroup_member(X20)). % 83.64/11.08 cnf(a22, assumption, % 83.64/11.08 X2 = X19). % 83.64/11.08 cnf(c27, plain, % 83.64/11.08 ~subgroup_member(X1), % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a22])], [c6, c26])). % 83.64/11.08 cnf(c28, plain, % 83.64/11.08 ~product(X20,inverse(X21),X19) | ~subgroup_member(X21) | ~subgroup_member(X20), % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a22])], [c6, c26])). % 83.64/11.08 % 83.64/11.08 cnf(c29, axiom, % 83.64/11.08 product(identity,X22,X22)). % 83.64/11.08 cnf(a23, assumption, % 83.64/11.08 X20 = identity). % 83.64/11.08 cnf(a24, assumption, % 83.64/11.08 inverse(X21) = X22). % 83.64/11.08 cnf(a25, assumption, % 83.64/11.08 X19 = X22). % 83.64/11.08 cnf(c30, plain, % 83.64/11.08 ~subgroup_member(X21) | ~subgroup_member(X20), % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a23, a24, a25])], [c28, c29])). % 83.64/11.08 cnf(c31, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a23, a24, a25])], [c28, c29])). % 83.64/11.08 % 83.64/11.08 cnf(c32, axiom, % 83.64/11.08 subgroup_member(b)). % 83.64/11.08 cnf(a26, assumption, % 83.64/11.08 X21 = b). % 83.64/11.08 cnf(c33, plain, % 83.64/11.08 ~subgroup_member(X20), % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a26])], [c30, c32])). % 83.64/11.08 cnf(c34, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a26])], [c30, c32])). % 83.64/11.08 % 83.64/11.08 cnf(c35, axiom, % 83.64/11.08 subgroup_member(X23) | ~product(X24,inverse(X25),X23) | ~subgroup_member(X25) | ~subgroup_member(X24)). % 83.64/11.08 cnf(a27, assumption, % 83.64/11.08 X20 = X23). % 83.64/11.08 cnf(c36, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a27])], [c33, c35])). % 83.64/11.08 cnf(c37, plain, % 83.64/11.08 ~product(X24,inverse(X25),X23) | ~subgroup_member(X25) | ~subgroup_member(X24), % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a27])], [c33, c35])). % 83.64/11.08 % 83.64/11.08 cnf(c38, plain, % 83.64/11.08 product(X16,X12,X15)). % 83.64/11.08 cnf(a28, assumption, % 83.64/11.08 X24 = X16). % 83.64/11.08 cnf(a29, assumption, % 83.64/11.08 inverse(X25) = X12). % 83.64/11.08 cnf(a30, assumption, % 83.64/11.08 X23 = X15). % 83.64/11.08 cnf(c39, plain, % 83.64/11.08 ~subgroup_member(X25) | ~subgroup_member(X24), % 83.64/11.08 inference(predicate_reduction, [assumptions([a28, a29, a30])], [c37, c38])). % 83.64/11.08 % 83.64/11.08 cnf(c40, plain, % 83.64/11.08 subgroup_member(X21)). % 83.64/11.08 cnf(a31, assumption, % 83.64/11.08 X25 = X21). % 83.64/11.08 cnf(c41, plain, % 83.64/11.08 ~subgroup_member(X24), % 83.64/11.08 inference(predicate_reduction, [assumptions([a31])], [c39, c40])). % 83.64/11.08 % 83.64/11.08 cnf(c42, plain, % 83.64/11.08 subgroup_member(X21)). % 83.64/11.08 cnf(a32, assumption, % 83.64/11.08 X24 = X21). % 83.64/11.08 cnf(c43, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(predicate_reduction, [assumptions([a32])], [c41, c42])). % 83.64/11.08 % 83.64/11.08 cnf(c44, axiom, % 83.64/11.08 subgroup_member(a)). % 83.64/11.08 cnf(a33, assumption, % 83.64/11.08 X1 = a). % 83.64/11.08 cnf(c45, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a33])], [c27, c44])). % 83.64/11.08 cnf(c46, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(strict_predicate_extension, [assumptions([a33])], [c27, c44])). % 83.64/11.08 % 83.64/11.08 cnf(c47, plain, % 83.64/11.08 $false, % 83.64/11.08 inference(constraint_solving, [ % 83.64/11.08 bind(X0, c), % 83.64/11.08 bind(X1, a), % 83.64/11.08 bind(X2, inverse(X18)), % 83.64/11.08 bind(X3, a), % 83.64/11.08 bind(X4, inverse(X2)), % 83.64/11.08 bind(X5, c), % 83.64/11.08 bind(X6, c), % 83.64/11.08 bind(X7, identity), % 83.64/11.08 bind(X8, inverse(X18)), % 83.64/11.08 bind(X9, c), % 83.64/11.08 bind(X10, inverse(X18)), % 83.64/11.08 bind(X11, c), % 83.64/11.08 bind(X12, inverse(X18)), % 83.64/11.08 bind(X13, a), % 83.64/11.08 bind(X14, a), % 83.64/11.08 bind(X15, identity), % 83.64/11.08 bind(X16, b), % 83.64/11.08 bind(X17, a), % 83.64/11.08 bind(X18, b), % 83.64/11.08 bind(X19, inverse(X18)), % 83.64/11.08 bind(X20, identity), % 83.64/11.08 bind(X21, b), % 83.64/11.08 bind(X22, inverse(X21)), % 83.64/11.08 bind(X23, identity), % 83.64/11.08 bind(X24, b), % 83.64/11.08 bind(X25, b) % 83.64/11.08 ], % 83.64/11.08 [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])). % 83.64/11.08 % 83.64/11.08 % SZS output end IncompleteProof %------------------------------------------------------------------------------