%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP010-4 : 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 : n018.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 6.86s 1.21s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GRP010-4 : TPTP v8.1.0. Released v1.0.0. % 0.11/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.34 % Computer : n018.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Mon Jun 13 06:36:27 EDT 2022 % 0.14/0.34 % CPUTime : % 6.86/1.21 % SZS status Unsatisfiable % 6.86/1.21 % SZS output begin IncompleteProof % 6.86/1.21 cnf(c0, axiom, % 6.86/1.21 identity != multiply(b,c)). % 6.86/1.21 cnf(c1, plain, % 6.86/1.21 identity != multiply(b,c), % 6.86/1.21 inference(start, [], [c0])). % 6.86/1.21 % 6.86/1.21 cnf(c2, axiom, % 6.86/1.21 multiply(identity,X0) = X0). % 6.86/1.21 cnf(a0, assumption, % 6.86/1.21 multiply(b,c) = X0). % 6.86/1.21 cnf(c3, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 6.86/1.21 cnf(c4, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 6.86/1.21 cnf(c5, plain, % 6.86/1.21 multiply(identity,X0) != X1 | identity != X1, % 6.86/1.21 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 6.86/1.21 % 6.86/1.21 cnf(c6, axiom, % 6.86/1.21 multiply(multiply(X2,X3),X4) = multiply(X2,multiply(X3,X4))). % 6.86/1.21 cnf(a1, assumption, % 6.86/1.21 multiply(X5,X6) = multiply(identity,X0)). % 6.86/1.21 cnf(c7, plain, % 6.86/1.21 identity != X1, % 6.86/1.21 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 6.86/1.21 cnf(c8, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 6.86/1.21 cnf(c9, plain, % 6.86/1.21 X5 != multiply(X2,X3) | X6 != X4 | X7 != multiply(X2,multiply(X3,X4)) | X7 != X1, % 6.86/1.21 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 6.86/1.21 % 6.86/1.21 cnf(c10, axiom, % 6.86/1.21 identity = multiply(inverse(X8),X8)). % 6.86/1.21 cnf(a2, assumption, % 6.86/1.21 multiply(X2,X3) = multiply(inverse(X8),X8)). % 6.86/1.21 cnf(c11, plain, % 6.86/1.21 X6 != X4 | X7 != multiply(X2,multiply(X3,X4)) | X7 != X1, % 6.86/1.21 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 6.86/1.21 cnf(c12, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 6.86/1.21 cnf(c13, plain, % 6.86/1.21 X9 != identity | X5 != X9, % 6.86/1.21 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 6.86/1.21 % 6.86/1.21 cnf(a3, assumption, % 6.86/1.21 X9 = identity). % 6.86/1.21 cnf(c14, plain, % 6.86/1.21 X5 != X9, % 6.86/1.21 inference(reflexivity, [assumptions([a3])], [c13])). % 6.86/1.21 % 6.86/1.21 cnf(a4, assumption, % 6.86/1.21 X5 = X9). % 6.86/1.21 cnf(c15, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(reflexivity, [assumptions([a4])], [c14])). % 6.86/1.21 % 6.86/1.21 cnf(a5, assumption, % 6.86/1.21 X6 = X4). % 6.86/1.21 cnf(c16, plain, % 6.86/1.21 X7 != multiply(X2,multiply(X3,X4)) | X7 != X1, % 6.86/1.21 inference(reflexivity, [assumptions([a5])], [c11])). % 6.86/1.21 % 6.86/1.21 cnf(c17, axiom, % 6.86/1.21 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))). % 6.86/1.21 cnf(a6, assumption, % 6.86/1.21 multiply(X3,X4) = multiply(X10,multiply(X11,X12))). % 6.86/1.21 cnf(c18, plain, % 6.86/1.21 X7 != X1, % 6.86/1.21 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 6.86/1.21 cnf(c19, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 6.86/1.21 cnf(c20, plain, % 6.86/1.21 X13 != multiply(multiply(X10,X11),X12) | X7 != multiply(X2,X13), % 6.86/1.21 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 6.86/1.21 % 6.86/1.21 cnf(c21, axiom, % 6.86/1.21 identity = multiply(c,b)). % 6.86/1.21 cnf(a7, assumption, % 6.86/1.21 multiply(X10,X11) = multiply(c,b)). % 6.86/1.21 cnf(c22, plain, % 6.86/1.21 X7 != multiply(X2,X13), % 6.86/1.21 inference(strict_function_extension, [assumptions([a7])], [c20, c21])). % 6.86/1.21 cnf(c23, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(strict_function_extension, [assumptions([a7])], [c20, c21])). % 6.86/1.21 cnf(c24, plain, % 6.86/1.21 X14 != identity | X13 != multiply(X14,X12), % 6.86/1.21 inference(strict_function_extension, [assumptions([a7])], [c20, c21])). % 6.86/1.21 % 6.86/1.21 cnf(a8, assumption, % 6.86/1.21 X14 = identity). % 6.86/1.21 cnf(c25, plain, % 6.86/1.21 X13 != multiply(X14,X12), % 6.86/1.21 inference(reflexivity, [assumptions([a8])], [c24])). % 6.86/1.21 % 6.86/1.21 cnf(c26, axiom, % 6.86/1.21 multiply(identity,X15) = X15). % 6.86/1.21 cnf(a9, assumption, % 6.86/1.21 multiply(X14,X12) = multiply(identity,X15)). % 6.86/1.21 cnf(c27, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(strict_function_extension, [assumptions([a9])], [c25, c26])). % 6.86/1.21 cnf(c28, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(strict_function_extension, [assumptions([a9])], [c25, c26])). % 6.86/1.21 cnf(c29, plain, % 6.86/1.21 X16 != X15 | X13 != X16, % 6.86/1.21 inference(strict_function_extension, [assumptions([a9])], [c25, c26])). % 6.86/1.21 % 6.86/1.21 cnf(a10, assumption, % 6.86/1.21 X16 = X15). % 6.86/1.21 cnf(c30, plain, % 6.86/1.21 X13 != X16, % 6.86/1.21 inference(reflexivity, [assumptions([a10])], [c29])). % 6.86/1.21 % 6.86/1.21 cnf(a11, assumption, % 6.86/1.21 X13 = X16). % 6.86/1.21 cnf(c31, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(reflexivity, [assumptions([a11])], [c30])). % 6.86/1.21 % 6.86/1.21 cnf(c32, plain, % 6.86/1.21 X5 = multiply(X2,X3)). % 6.86/1.21 cnf(a12, assumption, % 6.86/1.21 multiply(X2,X13) = multiply(X2,X3)). % 6.86/1.21 cnf(c33, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(equality_reduction, [assumptions([a12])], [c22, c32])). % 6.86/1.21 cnf(c34, plain, % 6.86/1.21 X7 != X5, % 6.86/1.21 inference(equality_reduction, [assumptions([a12])], [c22, c32])). % 6.86/1.21 % 6.86/1.21 cnf(a13, assumption, % 6.86/1.21 X7 = X5). % 6.86/1.21 cnf(c35, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(reflexivity, [assumptions([a13])], [c34])). % 6.86/1.21 % 6.86/1.21 cnf(a14, assumption, % 6.86/1.21 X7 = X1). % 6.86/1.21 cnf(c36, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(reflexivity, [assumptions([a14])], [c18])). % 6.86/1.21 % 6.86/1.21 cnf(a15, assumption, % 6.86/1.21 identity = X1). % 6.86/1.21 cnf(c37, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(reflexivity, [assumptions([a15])], [c7])). % 6.86/1.21 % 6.86/1.21 cnf(c38, plain, % 6.86/1.21 $false, % 6.86/1.21 inference(constraint_solving, [ % 6.86/1.21 bind(X0, multiply(b,c)), % 6.86/1.21 bind(X1, identity), % 6.86/1.21 bind(X2, inverse(X8)), % 6.86/1.21 bind(X3, c), % 6.86/1.21 bind(X4, multiply(b,c)), % 6.86/1.21 bind(X7, identity), % 6.86/1.21 bind(X5, identity), % 6.86/1.21 bind(X6, multiply(b,c)), % 6.86/1.21 bind(X8, c), % 6.86/1.21 bind(X9, identity), % 6.86/1.21 bind(X10, c), % 6.86/1.21 bind(X11, b), % 6.86/1.21 bind(X12, c), % 6.86/1.21 bind(X13, c), % 6.86/1.21 bind(X14, identity), % 6.86/1.21 bind(X15, c), % 6.86/1.21 bind(X16, c) % 6.86/1.21 ], % 6.86/1.21 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15])). % 6.86/1.21 % 6.86/1.21 % SZS output end IncompleteProof %------------------------------------------------------------------------------