%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP022-2 : 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 : 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 10:08:36 EDT 2022 % Result : Unsatisfiable 1.97s 0.58s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GRP022-2 : TPTP v8.1.0. Released v1.0.0. % 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.33 % Computer : n025.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Tue Jun 14 14:08:54 EDT 2022 % 0.13/0.34 % CPUTime : % 1.97/0.58 % SZS status Unsatisfiable % 1.97/0.58 % SZS output begin IncompleteProof % 1.97/0.58 cnf(c0, axiom, % 1.97/0.58 a != inverse(inverse(a))). % 1.97/0.58 cnf(c1, plain, % 1.97/0.58 a != inverse(inverse(a)), % 1.97/0.58 inference(start, [], [c0])). % 1.97/0.58 % 1.97/0.58 cnf(c2, axiom, % 1.97/0.58 multiply(identity,X0) = X0). % 1.97/0.58 cnf(a0, assumption, % 1.97/0.58 inverse(inverse(a)) = X0). % 1.97/0.58 cnf(c3, plain, % 1.97/0.58 $false, % 1.97/0.58 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 1.97/0.58 cnf(c4, plain, % 1.97/0.58 $false, % 1.97/0.58 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 1.97/0.58 cnf(c5, plain, % 1.97/0.58 multiply(identity,X0) != X1 | a != X1, % 1.97/0.58 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 1.97/0.58 % 1.97/0.58 cnf(c6, axiom, % 1.97/0.58 multiply(multiply(X2,X3),X4) = multiply(X2,multiply(X3,X4))). % 1.97/0.58 cnf(a1, assumption, % 1.97/0.58 multiply(X5,X6) = multiply(identity,X0)). % 1.97/0.58 cnf(c7, plain, % 1.97/0.58 a != X1, % 1.97/0.58 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 1.97/0.58 cnf(c8, plain, % 1.97/0.58 $false, % 1.97/0.58 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 1.97/0.58 cnf(c9, plain, % 1.97/0.58 X5 != multiply(X2,X3) | X6 != X4 | X7 != multiply(X2,multiply(X3,X4)) | X7 != X1, % 1.97/0.58 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 1.97/0.58 % 1.97/0.58 cnf(c10, axiom, % 1.97/0.58 identity = multiply(X8,inverse(X8))). % 1.97/0.58 cnf(a2, assumption, % 1.97/0.58 multiply(X2,X3) = multiply(X8,inverse(X8))). % 1.97/0.58 cnf(c11, plain, % 1.97/0.58 X6 != X4 | X7 != multiply(X2,multiply(X3,X4)) | X7 != X1, % 1.97/0.58 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 1.97/0.58 cnf(c12, plain, % 1.97/0.58 $false, % 1.97/0.58 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 1.97/0.58 cnf(c13, plain, % 1.97/0.58 X9 != identity | X5 != X9, % 1.97/0.58 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 1.97/0.58 % 1.97/0.58 cnf(a3, assumption, % 1.97/0.58 X9 = identity). % 1.97/0.58 cnf(c14, plain, % 1.97/0.58 X5 != X9, % 1.97/0.58 inference(reflexivity, [assumptions([a3])], [c13])). % 1.97/0.58 % 1.97/0.58 cnf(a4, assumption, % 1.97/0.58 X5 = X9). % 1.97/0.58 cnf(c15, plain, % 1.97/0.58 $false, % 1.97/0.58 inference(reflexivity, [assumptions([a4])], [c14])). % 1.97/0.58 % 1.97/0.58 cnf(a5, assumption, % 1.97/0.58 X6 = X4). % 1.97/0.58 cnf(c16, plain, % 1.97/0.58 X7 != multiply(X2,multiply(X3,X4)) | X7 != X1, % 1.97/0.58 inference(reflexivity, [assumptions([a5])], [c11])). % 1.97/0.58 % 1.97/0.58 cnf(c17, axiom, % 1.97/0.58 identity = multiply(X10,inverse(X10))). % 1.97/0.58 cnf(a6, assumption, % 1.97/0.58 multiply(X3,X4) = multiply(X10,inverse(X10))). % 1.97/0.58 cnf(c18, plain, % 1.97/0.58 X7 != X1, % 1.97/0.58 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 1.97/0.58 cnf(c19, plain, % 1.97/0.58 $false, % 1.97/0.58 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 1.97/0.58 cnf(c20, plain, % 1.97/0.58 X11 != identity | X7 != multiply(X2,X11), % 1.97/0.58 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 1.97/0.58 % 1.97/0.58 cnf(a7, assumption, % 1.97/0.58 X11 = identity). % 1.97/0.58 cnf(c21, plain, % 1.97/0.58 X7 != multiply(X2,X11), % 1.97/0.58 inference(reflexivity, [assumptions([a7])], [c20])). % 1.97/0.58 % 1.97/0.58 cnf(c22, axiom, % 1.97/0.58 multiply(X12,identity) = X12). % 1.97/0.58 cnf(a8, assumption, % 1.97/0.58 multiply(X2,X11) = multiply(X12,identity)). % 1.97/0.58 cnf(c23, plain, % 1.97/0.58 $false, % 1.97/0.58 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 1.97/0.58 cnf(c24, plain, % 1.97/0.58 $false, % 1.97/0.58 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 1.97/0.58 cnf(c25, plain, % 1.97/0.58 X13 != X12 | X7 != X13, % 1.97/0.58 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 1.97/0.58 % 1.97/0.58 cnf(a9, assumption, % 1.97/0.58 X13 = X12). % 1.97/0.58 cnf(c26, plain, % 1.97/0.58 X7 != X13, % 1.97/0.58 inference(reflexivity, [assumptions([a9])], [c25])). % 1.97/0.58 % 1.97/0.58 cnf(a10, assumption, % 1.97/0.58 X7 = X13). % 1.97/0.58 cnf(c27, plain, % 1.97/0.58 $false, % 1.97/0.58 inference(reflexivity, [assumptions([a10])], [c26])). % 1.97/0.58 % 1.97/0.58 cnf(a11, assumption, % 1.97/0.58 X7 = X1). % 1.97/0.58 cnf(c28, plain, % 1.97/0.58 $false, % 1.97/0.58 inference(reflexivity, [assumptions([a11])], [c18])). % 1.97/0.58 % 1.97/0.58 cnf(a12, assumption, % 1.97/0.58 a = X1). % 1.97/0.58 cnf(c29, plain, % 1.97/0.58 $false, % 1.97/0.58 inference(reflexivity, [assumptions([a12])], [c7])). % 1.97/0.58 % 1.97/0.58 cnf(c30, plain, % 1.97/0.58 $false, % 1.97/0.58 inference(constraint_solving, [ % 1.97/0.58 bind(X0, inverse(inverse(a))), % 1.97/0.58 bind(X1, a), % 1.97/0.58 bind(X2, a), % 1.97/0.58 bind(X3, inverse(X8)), % 1.97/0.58 bind(X4, inverse(inverse(a))), % 1.97/0.58 bind(X7, a), % 1.97/0.58 bind(X5, identity), % 1.97/0.58 bind(X6, inverse(inverse(a))), % 1.97/0.58 bind(X8, a), % 1.97/0.58 bind(X9, identity), % 1.97/0.58 bind(X10, inverse(X8)), % 1.97/0.58 bind(X11, identity), % 1.97/0.58 bind(X12, a), % 1.97/0.58 bind(X13, a) % 1.97/0.58 ], % 1.97/0.58 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])). % 1.97/0.58 % 1.97/0.58 % SZS output end IncompleteProof 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