%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP047-2 : 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 : 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 : Sat Jul 16 10:08:45 EDT 2022 % Result : Unsatisfiable 0.19s 0.36s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP047-2 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n029.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jun 13 12:12:40 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.36 % SZS status Unsatisfiable % 0.19/0.36 % SZS output begin IncompleteProof % 0.19/0.36 cnf(c0, axiom, % 0.19/0.36 ~equalish(multiply(c,a),multiply(c,b))). % 0.19/0.36 cnf(c1, plain, % 0.19/0.36 ~equalish(multiply(c,a),multiply(c,b)), % 0.19/0.36 inference(start, [], [c0])). % 0.19/0.36 % 0.19/0.36 cnf(c2, axiom, % 0.19/0.36 equalish(X0,X1) | ~product(X2,X3,X1) | ~product(X2,X3,X0)). % 0.19/0.36 cnf(a0, assumption, % 0.19/0.36 multiply(c,a) = X0). % 0.19/0.36 cnf(a1, assumption, % 0.19/0.36 multiply(c,b) = X1). % 0.19/0.36 cnf(c3, plain, % 0.19/0.36 $false, % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.19/0.36 cnf(c4, plain, % 0.19/0.36 ~product(X2,X3,X1) | ~product(X2,X3,X0), % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.19/0.36 % 0.19/0.36 cnf(c5, axiom, % 0.19/0.36 product(X4,X5,X6) | ~product(X7,X8,X6) | ~product(X9,X5,X8) | ~product(X7,X9,X4)). % 0.19/0.36 cnf(a2, assumption, % 0.19/0.36 X2 = X4). % 0.19/0.36 cnf(a3, assumption, % 0.19/0.36 X3 = X5). % 0.19/0.36 cnf(a4, assumption, % 0.19/0.36 X1 = X6). % 0.19/0.36 cnf(c6, plain, % 0.19/0.36 ~product(X2,X3,X0), % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c4, c5])). % 0.19/0.36 cnf(c7, plain, % 0.19/0.36 ~product(X7,X8,X6) | ~product(X9,X5,X8) | ~product(X7,X9,X4), % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c4, c5])). % 0.19/0.36 % 0.19/0.36 cnf(c8, axiom, % 0.19/0.36 product(X10,X11,multiply(X10,X11))). % 0.19/0.36 cnf(a5, assumption, % 0.19/0.36 X7 = X10). % 0.19/0.36 cnf(a6, assumption, % 0.19/0.36 X8 = X11). % 0.19/0.36 cnf(a7, assumption, % 0.19/0.36 X6 = multiply(X10,X11)). % 0.19/0.36 cnf(c9, plain, % 0.19/0.36 ~product(X9,X5,X8) | ~product(X7,X9,X4), % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c7, c8])). % 0.19/0.36 cnf(c10, plain, % 0.19/0.36 $false, % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c7, c8])). % 0.19/0.36 % 0.19/0.36 cnf(c11, axiom, % 0.19/0.36 product(X12,X13,X14) | ~product(X12,X13,X15) | ~equalish(X15,X14)). % 0.19/0.36 cnf(a8, assumption, % 0.19/0.36 X9 = X12). % 0.19/0.36 cnf(a9, assumption, % 0.19/0.36 X5 = X13). % 0.19/0.36 cnf(a10, assumption, % 0.19/0.36 X8 = X14). % 0.19/0.36 cnf(c12, plain, % 0.19/0.36 ~product(X7,X9,X4), % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c9, c11])). % 0.19/0.36 cnf(c13, plain, % 0.19/0.36 ~product(X12,X13,X15) | ~equalish(X15,X14), % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c9, c11])). % 0.19/0.36 % 0.19/0.36 cnf(c14, axiom, % 0.19/0.36 product(identity,X16,X16)). % 0.19/0.36 cnf(a11, assumption, % 0.19/0.36 X12 = identity). % 0.19/0.36 cnf(a12, assumption, % 0.19/0.36 X13 = X16). % 0.19/0.36 cnf(a13, assumption, % 0.19/0.36 X15 = X16). % 0.19/0.36 cnf(c15, plain, % 0.19/0.36 ~equalish(X15,X14), % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c13, c14])). % 0.19/0.36 cnf(c16, plain, % 0.19/0.36 $false, % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c13, c14])). % 0.19/0.36 % 0.19/0.36 cnf(c17, axiom, % 0.19/0.36 equalish(a,b)). % 0.19/0.36 cnf(a14, assumption, % 0.19/0.36 X15 = a). % 0.19/0.36 cnf(a15, assumption, % 0.19/0.36 X14 = b). % 0.19/0.36 cnf(c18, plain, % 0.19/0.36 $false, % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a14, a15])], [c15, c17])). % 0.19/0.36 cnf(c19, plain, % 0.19/0.36 $false, % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a14, a15])], [c15, c17])). % 0.19/0.36 % 0.19/0.36 cnf(c20, axiom, % 0.19/0.36 product(X17,X18,multiply(X17,X18))). % 0.19/0.36 cnf(a16, assumption, % 0.19/0.36 X7 = X17). % 0.19/0.36 cnf(a17, assumption, % 0.19/0.36 X9 = X18). % 0.19/0.36 cnf(a18, assumption, % 0.19/0.36 X4 = multiply(X17,X18)). % 0.19/0.36 cnf(c21, plain, % 0.19/0.36 $false, % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c12, c20])). % 0.19/0.36 cnf(c22, plain, % 0.19/0.36 $false, % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c12, c20])). % 0.19/0.36 % 0.19/0.36 cnf(c23, axiom, % 0.19/0.36 product(X19,X20,X21) | ~product(X22,X23,X21) | ~product(X24,X20,X23) | ~product(X22,X24,X19)). % 0.19/0.36 cnf(a19, assumption, % 0.19/0.36 X2 = X19). % 0.19/0.36 cnf(a20, assumption, % 0.19/0.36 X3 = X20). % 0.19/0.36 cnf(a21, assumption, % 0.19/0.36 X0 = X21). % 0.19/0.36 cnf(c24, plain, % 0.19/0.36 $false, % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c6, c23])). % 0.19/0.36 cnf(c25, plain, % 0.19/0.36 ~product(X22,X23,X21) | ~product(X24,X20,X23) | ~product(X22,X24,X19), % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c6, c23])). % 0.19/0.36 % 0.19/0.36 cnf(c26, axiom, % 0.19/0.36 product(X25,X26,multiply(X25,X26))). % 0.19/0.36 cnf(a22, assumption, % 0.19/0.36 X22 = X25). % 0.19/0.36 cnf(a23, assumption, % 0.19/0.36 X23 = X26). % 0.19/0.36 cnf(a24, assumption, % 0.19/0.36 X21 = multiply(X25,X26)). % 0.19/0.36 cnf(c27, plain, % 0.19/0.36 ~product(X24,X20,X23) | ~product(X22,X24,X19), % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c25, c26])). % 0.19/0.36 cnf(c28, plain, % 0.19/0.36 $false, % 0.19/0.36 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c25, c26])). % 0.19/0.36 % 0.19/0.36 cnf(c29, plain, % 0.19/0.36 product(X12,X13,X15)). % 0.19/0.36 cnf(a25, assumption, % 0.19/0.36 X24 = X12). % 0.19/0.36 cnf(a26, assumption, % 0.19/0.36 X20 = X13). % 0.19/0.36 cnf(a27, assumption, % 0.19/0.36 X23 = X15). % 0.19/0.36 cnf(c30, plain, % 0.19/0.36 ~product(X22,X24,X19), % 0.19/0.36 inference(predicate_reduction, [assumptions([a25, a26, a27])], [c27, c29])). % 0.19/0.36 % 0.19/0.36 cnf(c31, plain, % 0.19/0.36 product(X7,X9,X4)). % 0.19/0.36 cnf(a28, assumption, % 0.19/0.36 X22 = X7). % 0.19/0.36 cnf(a29, assumption, % 0.19/0.36 X24 = X9). % 0.19/0.36 cnf(a30, assumption, % 0.19/0.36 X19 = X4). % 0.19/0.36 cnf(c32, plain, % 0.19/0.36 $false, % 0.19/0.36 inference(predicate_reduction, [assumptions([a28, a29, a30])], [c30, c31])). % 0.19/0.36 % 0.19/0.36 cnf(c33, plain, % 0.19/0.36 $false, % 0.19/0.36 inference(constraint_solving, [ % 0.19/0.36 bind(X0, multiply(c,a)), % 0.19/0.36 bind(X1, multiply(c,b)), % 0.19/0.36 bind(X2, multiply(X17,X18)), % 0.19/0.36 bind(X3, a), % 0.19/0.36 bind(X4, multiply(X17,X18)), % 0.19/0.36 bind(X5, a), % 0.19/0.36 bind(X6, multiply(c,b)), % 0.19/0.36 bind(X7, c), % 0.19/0.36 bind(X8, b), % 0.19/0.36 bind(X9, identity), % 0.19/0.36 bind(X10, c), % 0.19/0.36 bind(X11, b), % 0.19/0.36 bind(X12, identity), % 0.19/0.36 bind(X13, a), % 0.19/0.36 bind(X14, b), % 0.19/0.36 bind(X15, a), % 0.19/0.36 bind(X16, a), % 0.19/0.36 bind(X17, c), % 0.19/0.36 bind(X18, identity), % 0.19/0.36 bind(X19, multiply(X17,X18)), % 0.19/0.36 bind(X20, a), % 0.19/0.36 bind(X21, multiply(c,a)), % 0.19/0.36 bind(X22, c), % 0.19/0.36 bind(X23, a), % 0.19/0.36 bind(X24, identity), % 0.19/0.36 bind(X25, c), % 0.19/0.36 bind(X26, a) % 0.19/0.36 ], % 0.19/0.36 [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])). % 0.19/0.36 % 0.19/0.36 % SZS output end IncompleteProof %------------------------------------------------------------------------------