%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : BOO003-2 : 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 : n028.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 99.70s 13.19s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : BOO003-2 : TPTP v8.1.0. Released v1.0.0. % 0.08/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.35 % Computer : n028.cluster.edu % 0.12/0.35 % Model : x86_64 x86_64 % 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.35 % Memory : 8042.1875MB % 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.35 % CPULimit : 300 % 0.12/0.35 % WCLimit : 600 % 0.12/0.35 % DateTime : Wed Jun 1 21:40:23 EDT 2022 % 0.12/0.35 % CPUTime : % 99.70/13.19 % SZS status Unsatisfiable % 99.70/13.19 % SZS output begin IncompleteProof % 99.70/13.19 cnf(c0, axiom, % 99.70/13.19 a != multiply(a,a)). % 99.70/13.19 cnf(c1, plain, % 99.70/13.19 a != multiply(a,a), % 99.70/13.19 inference(start, [], [c0])). % 99.70/13.19 % 99.70/13.19 cnf(c2, axiom, % 99.70/13.19 add(X0,additive_identity) = X0). % 99.70/13.19 cnf(a0, assumption, % 99.70/13.19 multiply(a,a) = X0). % 99.70/13.19 cnf(c3, plain, % 99.70/13.19 $false, % 99.70/13.19 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 99.70/13.19 cnf(c4, plain, % 99.70/13.19 $false, % 99.70/13.19 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 99.70/13.19 cnf(c5, plain, % 99.70/13.19 add(X0,additive_identity) != X1 | a != X1, % 99.70/13.19 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 99.70/13.19 % 99.70/13.19 cnf(c6, axiom, % 99.70/13.19 multiply(add(X2,X3),X4) = add(multiply(X2,X4),multiply(X3,X4))). % 99.70/13.19 cnf(a1, assumption, % 99.70/13.19 add(X5,X6) = add(X0,additive_identity)). % 99.70/13.19 cnf(c7, plain, % 99.70/13.19 a != X1, % 99.70/13.19 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 99.70/13.19 cnf(c8, plain, % 99.70/13.19 $false, % 99.70/13.19 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 99.70/13.19 cnf(c9, plain, % 99.70/13.19 X5 != multiply(X2,X4) | X6 != multiply(X3,X4) | X7 != multiply(add(X2,X3),X4) | X7 != X1, % 99.70/13.19 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 99.70/13.19 % 99.70/13.19 cnf(a2, assumption, % 99.70/13.19 X5 = multiply(X2,X4)). % 99.70/13.19 cnf(c10, plain, % 99.70/13.19 X6 != multiply(X3,X4) | X7 != multiply(add(X2,X3),X4) | X7 != X1, % 99.70/13.19 inference(reflexivity, [assumptions([a2])], [c9])). % 99.70/13.19 % 99.70/13.19 cnf(c11, axiom, % 99.70/13.19 additive_identity = multiply(inverse(X8),X8)). % 99.70/13.19 cnf(a3, assumption, % 99.70/13.19 multiply(X3,X4) = multiply(inverse(X8),X8)). % 99.70/13.19 cnf(c12, plain, % 99.70/13.19 X7 != multiply(add(X2,X3),X4) | X7 != X1, % 99.70/13.19 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 99.70/13.19 cnf(c13, plain, % 99.70/13.19 $false, % 99.70/13.19 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 99.70/13.19 cnf(c14, plain, % 99.70/13.19 X9 != additive_identity | X6 != X9, % 99.70/13.19 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 99.70/13.19 % 99.70/13.19 cnf(a4, assumption, % 99.70/13.19 X9 = additive_identity). % 99.70/13.19 cnf(c15, plain, % 99.70/13.19 X6 != X9, % 99.70/13.19 inference(reflexivity, [assumptions([a4])], [c14])). % 99.70/13.19 % 99.70/13.19 cnf(a5, assumption, % 99.70/13.19 X6 = X9). % 99.70/13.19 cnf(c16, plain, % 99.70/13.19 $false, % 99.70/13.19 inference(reflexivity, [assumptions([a5])], [c15])). % 99.70/13.19 % 99.70/13.19 cnf(c17, axiom, % 99.70/13.19 add(X10,inverse(X10)) = multiplicative_identity). % 99.70/13.19 cnf(a6, assumption, % 99.70/13.19 add(X2,X3) = add(X10,inverse(X10))). % 99.70/13.19 cnf(c18, plain, % 99.70/13.19 X7 != X1, % 99.70/13.19 inference(strict_function_extension, [assumptions([a6])], [c12, c17])). % 99.70/13.19 cnf(c19, plain, % 99.70/13.19 $false, % 99.70/13.19 inference(strict_function_extension, [assumptions([a6])], [c12, c17])). % 99.70/13.19 cnf(c20, plain, % 99.70/13.19 X11 != multiplicative_identity | X7 != multiply(X11,X4), % 99.70/13.19 inference(strict_function_extension, [assumptions([a6])], [c12, c17])). % 99.70/13.19 % 99.70/13.19 cnf(a7, assumption, % 99.70/13.19 X11 = multiplicative_identity). % 99.70/13.19 cnf(c21, plain, % 99.70/13.19 X7 != multiply(X11,X4), % 99.70/13.19 inference(reflexivity, [assumptions([a7])], [c20])). % 99.70/13.19 % 99.70/13.19 cnf(c22, axiom, % 99.70/13.19 multiply(multiplicative_identity,X12) = X12). % 99.70/13.19 cnf(a8, assumption, % 99.70/13.19 multiply(X11,X4) = multiply(multiplicative_identity,X12)). % 99.70/13.19 cnf(c23, plain, % 99.70/13.19 $false, % 99.70/13.19 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 99.70/13.19 cnf(c24, plain, % 99.70/13.19 $false, % 99.70/13.19 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 99.70/13.19 cnf(c25, plain, % 99.70/13.19 X13 != X12 | X7 != X13, % 99.70/13.19 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 99.70/13.19 % 99.70/13.19 cnf(a9, assumption, % 99.70/13.19 X13 = X12). % 99.70/13.19 cnf(c26, plain, % 99.70/13.19 X7 != X13, % 99.70/13.19 inference(reflexivity, [assumptions([a9])], [c25])). % 99.70/13.19 % 99.70/13.19 cnf(a10, assumption, % 99.70/13.19 X7 = X13). % 99.70/13.19 cnf(c27, plain, % 99.70/13.19 $false, % 99.70/13.19 inference(reflexivity, [assumptions([a10])], [c26])). % 99.70/13.19 % 99.70/13.19 cnf(a11, assumption, % 99.70/13.19 X7 = X1). % 99.70/13.19 cnf(c28, plain, % 99.70/13.19 $false, % 99.70/13.19 inference(reflexivity, [assumptions([a11])], [c18])). % 99.70/13.19 % 99.70/13.19 cnf(a12, assumption, % 99.70/13.19 a = X1). % 99.70/13.19 cnf(c29, plain, % 99.70/13.19 $false, % 99.70/13.19 inference(reflexivity, [assumptions([a12])], [c7])). % 99.70/13.19 % 99.70/13.19 cnf(c30, plain, % 99.70/13.19 $false, % 99.70/13.19 inference(constraint_solving, [ % 99.70/13.19 bind(X0, multiply(a,a)), % 99.70/13.19 bind(X1, a), % 99.70/13.19 bind(X2, a), % 99.70/13.19 bind(X3, inverse(X8)), % 99.70/13.19 bind(X4, a), % 99.70/13.19 bind(X7, a), % 99.70/13.19 bind(X5, multiply(a,a)), % 99.70/13.19 bind(X6, additive_identity), % 99.70/13.19 bind(X8, a), % 99.70/13.19 bind(X9, additive_identity), % 99.70/13.19 bind(X10, a), % 99.70/13.19 bind(X11, multiplicative_identity), % 99.70/13.19 bind(X12, a), % 99.70/13.19 bind(X13, a) % 99.70/13.19 ], % 99.70/13.19 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])). % 99.70/13.19 % 99.70/13.19 % SZS output end IncompleteProof %------------------------------------------------------------------------------