%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP012-3 : 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 : n024.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 10:08:34 EDT 2022 % Result : Unsatisfiable 0.23s 0.57s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : GRP012-3 : TPTP v8.1.0. Released v1.0.0. % 0.07/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.35 % Computer : n024.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 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Tue Jun 14 02:02:48 EDT 2022 % 0.14/0.36 % CPUTime : % 0.23/0.57 % SZS status Unsatisfiable % 0.23/0.57 % SZS output begin IncompleteProof % 0.23/0.57 cnf(c0, axiom, % 0.23/0.57 inverse(multiply(a,b)) != multiply(inverse(b),inverse(a))). % 0.23/0.57 cnf(c1, plain, % 0.23/0.57 inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)), % 0.23/0.57 inference(start, [], [c0])). % 0.23/0.57 % 0.23/0.57 cnf(c2, axiom, % 0.23/0.57 X0 = X1 | ~product(X2,X3,X1) | ~product(X2,X3,X0)). % 0.23/0.57 cnf(a0, assumption, % 0.23/0.57 multiply(inverse(b),inverse(a)) = X0). % 0.23/0.57 cnf(c3, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 0.23/0.57 cnf(c4, plain, % 0.23/0.57 ~product(X2,X3,X1) | ~product(X2,X3,X0), % 0.23/0.57 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 0.23/0.57 cnf(c5, plain, % 0.23/0.57 X1 != X4 | inverse(multiply(a,b)) != X4, % 0.23/0.57 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 0.23/0.57 % 0.23/0.57 cnf(a1, assumption, % 0.23/0.57 X1 = X4). % 0.23/0.57 cnf(c6, plain, % 0.23/0.57 inverse(multiply(a,b)) != X4, % 0.23/0.57 inference(reflexivity, [assumptions([a1])], [c5])). % 0.23/0.57 % 0.23/0.57 cnf(a2, assumption, % 0.23/0.57 inverse(multiply(a,b)) = X4). % 0.23/0.57 cnf(c7, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(reflexivity, [assumptions([a2])], [c6])). % 0.23/0.57 % 0.23/0.57 cnf(c8, axiom, % 0.23/0.57 product(identity,X5,X5)). % 0.23/0.57 cnf(a3, assumption, % 0.23/0.57 X2 = identity). % 0.23/0.57 cnf(a4, assumption, % 0.23/0.57 X3 = X5). % 0.23/0.57 cnf(a5, assumption, % 0.23/0.57 X1 = X5). % 0.23/0.57 cnf(c9, plain, % 0.23/0.57 ~product(X2,X3,X0), % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 0.23/0.57 cnf(c10, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 0.23/0.57 % 0.23/0.57 cnf(c11, axiom, % 0.23/0.57 product(X6,X7,X8) | ~product(X9,X10,X8) | ~product(X11,X7,X10) | ~product(X9,X11,X6)). % 0.23/0.57 cnf(a6, assumption, % 0.23/0.57 X2 = X6). % 0.23/0.57 cnf(a7, assumption, % 0.23/0.57 X3 = X7). % 0.23/0.57 cnf(a8, assumption, % 0.23/0.57 X0 = X8). % 0.23/0.57 cnf(c12, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c9, c11])). % 0.23/0.57 cnf(c13, plain, % 0.23/0.57 ~product(X9,X10,X8) | ~product(X11,X7,X10) | ~product(X9,X11,X6), % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c9, c11])). % 0.23/0.57 % 0.23/0.57 cnf(c14, axiom, % 0.23/0.57 product(X12,X13,multiply(X12,X13))). % 0.23/0.57 cnf(a9, assumption, % 0.23/0.57 X9 = X12). % 0.23/0.57 cnf(a10, assumption, % 0.23/0.57 X10 = X13). % 0.23/0.57 cnf(a11, assumption, % 0.23/0.57 X8 = multiply(X12,X13)). % 0.23/0.57 cnf(c15, plain, % 0.23/0.57 ~product(X11,X7,X10) | ~product(X9,X11,X6), % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c13, c14])). % 0.23/0.57 cnf(c16, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c13, c14])). % 0.23/0.57 % 0.23/0.57 cnf(c17, axiom, % 0.23/0.57 product(X14,X15,X16) | ~product(X17,X18,X16) | ~product(X19,X15,X18) | ~product(X17,X19,X14)). % 0.23/0.57 cnf(a12, assumption, % 0.23/0.57 X11 = X14). % 0.23/0.57 cnf(a13, assumption, % 0.23/0.57 X7 = X15). % 0.23/0.57 cnf(a14, assumption, % 0.23/0.57 X10 = X16). % 0.23/0.57 cnf(c18, plain, % 0.23/0.57 ~product(X9,X11,X6), % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c17])). % 0.23/0.57 cnf(c19, plain, % 0.23/0.57 ~product(X17,X18,X16) | ~product(X19,X15,X18) | ~product(X17,X19,X14), % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c17])). % 0.23/0.57 % 0.23/0.57 cnf(c20, axiom, % 0.23/0.57 product(X20,identity,X20)). % 0.23/0.57 cnf(a15, assumption, % 0.23/0.57 X17 = X20). % 0.23/0.57 cnf(a16, assumption, % 0.23/0.57 X18 = identity). % 0.23/0.57 cnf(a17, assumption, % 0.23/0.57 X16 = X20). % 0.23/0.57 cnf(c21, plain, % 0.23/0.57 ~product(X19,X15,X18) | ~product(X17,X19,X14), % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c19, c20])). % 0.23/0.57 cnf(c22, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c19, c20])). % 0.23/0.57 % 0.23/0.57 cnf(c23, axiom, % 0.23/0.57 product(X21,inverse(X21),identity)). % 0.23/0.57 cnf(a18, assumption, % 0.23/0.57 X19 = X21). % 0.23/0.57 cnf(a19, assumption, % 0.23/0.57 X15 = inverse(X21)). % 0.23/0.57 cnf(a20, assumption, % 0.23/0.57 X18 = identity). % 0.23/0.57 cnf(c24, plain, % 0.23/0.57 ~product(X17,X19,X14), % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c21, c23])). % 0.23/0.57 cnf(c25, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c21, c23])). % 0.23/0.57 % 0.23/0.57 cnf(c26, axiom, % 0.23/0.57 product(X22,X23,X24) | ~product(X25,X26,X24) | ~product(X27,X26,X23) | ~product(X22,X27,X25)). % 0.23/0.57 cnf(a21, assumption, % 0.23/0.57 X17 = X22). % 0.23/0.57 cnf(a22, assumption, % 0.23/0.57 X19 = X23). % 0.23/0.57 cnf(a23, assumption, % 0.23/0.57 X14 = X24). % 0.23/0.57 cnf(c27, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c24, c26])). % 0.23/0.57 cnf(c28, plain, % 0.23/0.57 ~product(X25,X26,X24) | ~product(X27,X26,X23) | ~product(X22,X27,X25), % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c24, c26])). % 0.23/0.57 % 0.23/0.57 cnf(c29, axiom, % 0.23/0.57 product(identity,X28,X28)). % 0.23/0.57 cnf(a24, assumption, % 0.23/0.57 X25 = identity). % 0.23/0.57 cnf(a25, assumption, % 0.23/0.57 X26 = X28). % 0.23/0.57 cnf(a26, assumption, % 0.23/0.57 X24 = X28). % 0.23/0.57 cnf(c30, plain, % 0.23/0.57 ~product(X27,X26,X23) | ~product(X22,X27,X25), % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c28, c29])). % 0.23/0.57 cnf(c31, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c28, c29])). % 0.23/0.57 % 0.23/0.57 cnf(c32, axiom, % 0.23/0.57 product(X29,X30,multiply(X29,X30))). % 0.23/0.57 cnf(a27, assumption, % 0.23/0.57 X27 = X29). % 0.23/0.57 cnf(a28, assumption, % 0.23/0.57 X26 = X30). % 0.23/0.57 cnf(a29, assumption, % 0.23/0.57 X23 = multiply(X29,X30)). % 0.23/0.57 cnf(c33, plain, % 0.23/0.57 ~product(X22,X27,X25), % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c30, c32])). % 0.23/0.57 cnf(c34, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c30, c32])). % 0.23/0.57 % 0.23/0.57 cnf(c35, axiom, % 0.23/0.57 product(inverse(X31),X31,identity)). % 0.23/0.57 cnf(a30, assumption, % 0.23/0.57 X22 = inverse(X31)). % 0.23/0.57 cnf(a31, assumption, % 0.23/0.57 X27 = X31). % 0.23/0.57 cnf(a32, assumption, % 0.23/0.57 X25 = identity). % 0.23/0.57 cnf(c36, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c33, c35])). % 0.23/0.57 cnf(c37, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c33, c35])). % 0.23/0.57 % 0.23/0.57 cnf(c38, axiom, % 0.23/0.57 product(inverse(X32),X32,identity)). % 0.23/0.57 cnf(a33, assumption, % 0.23/0.57 X9 = inverse(X32)). % 0.23/0.57 cnf(a34, assumption, % 0.23/0.57 X11 = X32). % 0.23/0.57 cnf(a35, assumption, % 0.23/0.57 X6 = identity). % 0.23/0.57 cnf(c39, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c18, c38])). % 0.23/0.57 cnf(c40, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c18, c38])). % 0.23/0.57 % 0.23/0.57 cnf(c41, plain, % 0.23/0.57 $false, % 0.23/0.57 inference(constraint_solving, [ % 0.23/0.57 bind(X0, multiply(inverse(b),inverse(a))), % 0.23/0.57 bind(X1, inverse(multiply(a,b))), % 0.23/0.57 bind(X2, identity), % 0.23/0.57 bind(X3, inverse(multiply(a,b))), % 0.23/0.57 bind(X4, inverse(multiply(a,b))), % 0.23/0.57 bind(X5, inverse(multiply(a,b))), % 0.23/0.57 bind(X6, identity), % 0.23/0.57 bind(X7, inverse(multiply(a,b))), % 0.23/0.57 bind(X8, multiply(inverse(b),inverse(a))), % 0.23/0.57 bind(X9, inverse(b)), % 0.23/0.57 bind(X10, inverse(a)), % 0.23/0.57 bind(X11, b), % 0.23/0.57 bind(X12, inverse(b)), % 0.23/0.57 bind(X13, inverse(a)), % 0.23/0.57 bind(X14, b), % 0.23/0.57 bind(X15, inverse(multiply(a,b))), % 0.23/0.57 bind(X16, inverse(a)), % 0.23/0.57 bind(X17, inverse(a)), % 0.23/0.57 bind(X18, identity), % 0.23/0.57 bind(X19, multiply(a,b)), % 0.23/0.57 bind(X20, inverse(a)), % 0.23/0.57 bind(X21, multiply(a,b)), % 0.23/0.57 bind(X22, inverse(a)), % 0.23/0.57 bind(X23, multiply(a,b)), % 0.23/0.57 bind(X24, b), % 0.23/0.57 bind(X25, identity), % 0.23/0.57 bind(X26, b), % 0.23/0.57 bind(X27, a), % 0.23/0.57 bind(X28, b), % 0.23/0.57 bind(X29, a), % 0.23/0.57 bind(X30, b), % 0.23/0.57 bind(X31, a), % 0.23/0.57 bind(X32, b) % 0.23/0.57 ], % 0.23/0.57 [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])). % 0.23/0.57 % 0.23/0.57 % SZS output end IncompleteProof %------------------------------------------------------------------------------