%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : BOO001-1 : 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 : n022.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 : Thu Jul 14 23:43:08 EDT 2022 % Result : Unsatisfiable 285.35s 36.55s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : BOO001-1 : TPTP v8.1.0. Released v1.0.0. % 0.06/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.34 % Computer : n022.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 1 20:08:22 EDT 2022 % 0.12/0.34 % CPUTime : % 285.35/36.55 % SZS status Unsatisfiable % 285.35/36.55 % SZS output begin IncompleteProof % 285.35/36.55 cnf(c0, axiom, % 285.35/36.55 a != inverse(inverse(a))). % 285.35/36.55 cnf(c1, plain, % 285.35/36.55 a != inverse(inverse(a)), % 285.35/36.55 inference(start, [], [c0])). % 285.35/36.55 % 285.35/36.55 cnf(c2, axiom, % 285.35/36.55 multiply(X0,X1,inverse(X1)) = X0). % 285.35/36.55 cnf(a0, assumption, % 285.35/36.55 inverse(inverse(a)) = X0). % 285.35/36.55 cnf(c3, plain, % 285.35/36.55 $false, % 285.35/36.55 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 285.35/36.55 cnf(c4, plain, % 285.35/36.55 $false, % 285.35/36.55 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 285.35/36.55 cnf(c5, plain, % 285.35/36.55 multiply(X0,X1,inverse(X1)) != X2 | a != X2, % 285.35/36.55 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 285.35/36.55 % 285.35/36.55 cnf(c6, axiom, % 285.35/36.55 multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7)) = multiply(X3,X4,multiply(X5,X6,X7))). % 285.35/36.55 cnf(a1, assumption, % 285.35/36.55 multiply(X8,X9,X10) = multiply(X0,X1,inverse(X1))). % 285.35/36.55 cnf(c7, plain, % 285.35/36.55 a != X2, % 285.35/36.55 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 285.35/36.55 cnf(c8, plain, % 285.35/36.55 $false, % 285.35/36.55 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 285.35/36.55 cnf(c9, plain, % 285.35/36.55 X8 != X3 | X9 != X4 | X10 != multiply(X5,X6,X7) | X11 != multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7)) | X11 != X2, % 285.35/36.55 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 285.35/36.55 % 285.35/36.55 cnf(a2, assumption, % 285.35/36.55 X8 = X3). % 285.35/36.55 cnf(c10, plain, % 285.35/36.55 X9 != X4 | X10 != multiply(X5,X6,X7) | X11 != multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7)) | X11 != X2, % 285.35/36.55 inference(reflexivity, [assumptions([a2])], [c9])). % 285.35/36.55 % 285.35/36.55 cnf(a3, assumption, % 285.35/36.55 X9 = X4). % 285.35/36.55 cnf(c11, plain, % 285.35/36.55 X10 != multiply(X5,X6,X7) | X11 != multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7)) | X11 != X2, % 285.35/36.55 inference(reflexivity, [assumptions([a3])], [c10])). % 285.35/36.55 % 285.35/36.55 cnf(c12, axiom, % 285.35/36.55 multiply(X12,X13,X13) = X13). % 285.35/36.55 cnf(a4, assumption, % 285.35/36.55 multiply(X5,X6,X7) = multiply(X12,X13,X13)). % 285.35/36.55 cnf(c13, plain, % 285.35/36.55 X11 != multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7)) | X11 != X2, % 285.35/36.55 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 285.35/36.55 cnf(c14, plain, % 285.35/36.55 $false, % 285.35/36.55 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 285.35/36.55 cnf(c15, plain, % 285.35/36.55 X14 != X13 | X10 != X14, % 285.35/36.55 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 285.35/36.55 % 285.35/36.55 cnf(a5, assumption, % 285.35/36.55 X14 = X13). % 285.35/36.55 cnf(c16, plain, % 285.35/36.55 X10 != X14, % 285.35/36.55 inference(reflexivity, [assumptions([a5])], [c15])). % 285.35/36.55 % 285.35/36.55 cnf(a6, assumption, % 285.35/36.55 X10 = X14). % 285.35/36.55 cnf(c17, plain, % 285.35/36.55 $false, % 285.35/36.55 inference(reflexivity, [assumptions([a6])], [c16])). % 285.35/36.55 % 285.35/36.55 cnf(c18, plain, % 285.35/36.55 multiply(X0,X1,inverse(X1)) = X0). % 285.35/36.55 cnf(a7, assumption, % 285.35/36.55 multiply(X3,X4,X7) = multiply(X0,X1,inverse(X1))). % 285.35/36.55 cnf(c19, plain, % 285.35/36.55 X11 != X2, % 285.35/36.55 inference(equality_reduction, [assumptions([a7])], [c13, c18])). % 285.35/36.55 cnf(c20, plain, % 285.35/36.55 X11 != multiply(multiply(X3,X4,X5),X6,X0), % 285.35/36.55 inference(equality_reduction, [assumptions([a7])], [c13, c18])). % 285.35/36.55 % 285.35/36.55 cnf(c21, axiom, % 285.35/36.55 multiply(X15,X16,X16) = X16). % 285.35/36.55 cnf(a8, assumption, % 285.35/36.55 multiply(X3,X4,X5) = multiply(X15,X16,X16)). % 285.35/36.55 cnf(c22, plain, % 285.35/36.55 $false, % 285.35/36.55 inference(strict_function_extension, [assumptions([a8])], [c20, c21])). % 285.35/36.55 cnf(c23, plain, % 285.35/36.55 $false, % 285.35/36.55 inference(strict_function_extension, [assumptions([a8])], [c20, c21])). % 285.35/36.55 cnf(c24, plain, % 285.35/36.55 X17 != X16 | X11 != multiply(X17,X6,X0), % 285.35/36.55 inference(strict_function_extension, [assumptions([a8])], [c20, c21])). % 285.35/36.55 % 285.35/36.55 cnf(a9, assumption, % 285.35/36.55 X17 = X16). % 285.35/36.55 cnf(c25, plain, % 285.35/36.55 X11 != multiply(X17,X6,X0), % 285.35/36.55 inference(reflexivity, [assumptions([a9])], [c24])). % 285.35/36.55 % 285.35/36.55 cnf(c26, axiom, % 285.35/36.55 multiply(X18,X19,inverse(X19)) = X18). % 285.35/36.55 cnf(a10, assumption, % 285.35/36.55 multiply(X17,X6,X0) = multiply(X18,X19,inverse(X19))). % 285.35/36.55 cnf(c27, plain, % 285.35/36.55 $false, % 285.35/36.55 inference(strict_function_extension, [assumptions([a10])], [c25, c26])). % 285.35/36.55 cnf(c28, plain, % 285.35/36.55 $false, % 285.35/36.55 inference(strict_function_extension, [assumptions([a10])], [c25, c26])). % 285.35/36.55 cnf(c29, plain, % 285.35/36.55 X20 != X18 | X11 != X20, % 285.35/36.55 inference(strict_function_extension, [assumptions([a10])], [c25, c26])). % 285.35/36.55 % 285.35/36.55 cnf(a11, assumption, % 285.35/36.55 X20 = X18). % 285.35/36.55 cnf(c30, plain, % 285.35/36.55 X11 != X20, % 285.35/36.55 inference(reflexivity, [assumptions([a11])], [c29])). % 285.35/36.55 % 285.35/36.55 cnf(a12, assumption, % 285.35/36.55 X11 = X20). % 285.35/36.55 cnf(c31, plain, % 285.35/36.55 $false, % 285.35/36.55 inference(reflexivity, [assumptions([a12])], [c30])). % 285.35/36.55 % 285.35/36.55 cnf(a13, assumption, % 285.35/36.55 X11 = X2). % 285.35/36.55 cnf(c32, plain, % 285.35/36.55 $false, % 285.35/36.55 inference(reflexivity, [assumptions([a13])], [c19])). % 285.35/36.55 % 285.35/36.55 cnf(a14, assumption, % 285.35/36.55 a = X2). % 285.35/36.55 cnf(c33, plain, % 285.35/36.55 $false, % 285.35/36.55 inference(reflexivity, [assumptions([a14])], [c7])). % 285.35/36.55 % 285.35/36.55 cnf(c34, plain, % 285.35/36.55 $false, % 285.35/36.55 inference(constraint_solving, [ % 285.35/36.55 bind(X0, inverse(inverse(a))), % 285.35/36.55 bind(X1, a), % 285.35/36.55 bind(X2, a), % 285.35/36.55 bind(X3, inverse(inverse(a))), % 285.35/36.55 bind(X4, a), % 285.35/36.55 bind(X5, a), % 285.35/36.55 bind(X6, inverse(X1)), % 285.35/36.55 bind(X7, inverse(X1)), % 285.35/36.55 bind(X11, a), % 285.35/36.55 bind(X8, inverse(inverse(a))), % 285.35/36.55 bind(X9, a), % 285.35/36.55 bind(X10, inverse(X1)), % 285.35/36.55 bind(X12, a), % 285.35/36.55 bind(X13, inverse(X1)), % 285.35/36.55 bind(X14, inverse(X1)), % 285.35/36.55 bind(X15, inverse(inverse(a))), % 285.35/36.55 bind(X16, a), % 285.35/36.55 bind(X17, a), % 285.35/36.55 bind(X18, a), % 285.35/36.55 bind(X19, inverse(X1)), % 285.35/36.55 bind(X20, a) % 285.35/36.55 ], % 285.35/36.55 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])). % 285.35/36.55 % 285.35/36.55 % SZS output end IncompleteProof %------------------------------------------------------------------------------