%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : BOO006-2 : 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 : n032.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 23:43:09 EDT 2022 % Result : Unsatisfiable 35.37s 4.86s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.09 % Problem : BOO006-2 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.10 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.29 % Computer : n032.cluster.edu % 0.09/0.29 % Model : x86_64 x86_64 % 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.29 % Memory : 8042.1875MB % 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.29 % CPULimit : 300 % 0.09/0.29 % WCLimit : 600 % 0.09/0.29 % DateTime : Wed Jun 1 20:36:30 EDT 2022 % 0.09/0.29 % CPUTime : % 35.37/4.86 % SZS status Unsatisfiable % 35.37/4.86 % SZS output begin IncompleteProof % 35.37/4.86 cnf(c0, axiom, % 35.37/4.86 additive_identity != multiply(a,additive_identity)). % 35.37/4.86 cnf(c1, plain, % 35.37/4.86 additive_identity != multiply(a,additive_identity), % 35.37/4.86 inference(start, [], [c0])). % 35.37/4.86 % 35.37/4.86 cnf(c2, axiom, % 35.37/4.86 add(additive_identity,X0) = X0). % 35.37/4.86 cnf(a0, assumption, % 35.37/4.86 multiply(a,additive_identity) = X0). % 35.37/4.86 cnf(c3, plain, % 35.37/4.86 $false, % 35.37/4.86 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 35.37/4.86 cnf(c4, plain, % 35.37/4.86 $false, % 35.37/4.86 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 35.37/4.86 cnf(c5, plain, % 35.37/4.86 add(additive_identity,X0) != X1 | additive_identity != X1, % 35.37/4.86 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 35.37/4.86 % 35.37/4.86 cnf(c6, axiom, % 35.37/4.86 multiply(X2,add(X3,X4)) = add(multiply(X2,X3),multiply(X2,X4))). % 35.37/4.86 cnf(a1, assumption, % 35.37/4.86 add(X5,X6) = add(additive_identity,X0)). % 35.37/4.86 cnf(c7, plain, % 35.37/4.86 additive_identity != X1, % 35.37/4.86 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 35.37/4.86 cnf(c8, plain, % 35.37/4.86 $false, % 35.37/4.86 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 35.37/4.86 cnf(c9, plain, % 35.37/4.86 X5 != multiply(X2,X3) | X6 != multiply(X2,X4) | X7 != multiply(X2,add(X3,X4)) | X7 != X1, % 35.37/4.86 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 35.37/4.86 % 35.37/4.86 cnf(c10, axiom, % 35.37/4.86 multiply(X8,inverse(X8)) = additive_identity). % 35.37/4.86 cnf(a2, assumption, % 35.37/4.86 multiply(X2,X3) = multiply(X8,inverse(X8))). % 35.37/4.86 cnf(c11, plain, % 35.37/4.86 X6 != multiply(X2,X4) | X7 != multiply(X2,add(X3,X4)) | X7 != X1, % 35.37/4.86 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 35.37/4.86 cnf(c12, plain, % 35.37/4.86 $false, % 35.37/4.86 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 35.37/4.86 cnf(c13, plain, % 35.37/4.86 X9 != additive_identity | X5 != X9, % 35.37/4.86 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 35.37/4.86 % 35.37/4.86 cnf(a3, assumption, % 35.37/4.86 X9 = additive_identity). % 35.37/4.86 cnf(c14, plain, % 35.37/4.86 X5 != X9, % 35.37/4.86 inference(reflexivity, [assumptions([a3])], [c13])). % 35.37/4.86 % 35.37/4.86 cnf(a4, assumption, % 35.37/4.86 X5 = X9). % 35.37/4.86 cnf(c15, plain, % 35.37/4.86 $false, % 35.37/4.86 inference(reflexivity, [assumptions([a4])], [c14])). % 35.37/4.86 % 35.37/4.86 cnf(a5, assumption, % 35.37/4.86 X6 = multiply(X2,X4)). % 35.37/4.86 cnf(c16, plain, % 35.37/4.86 X7 != multiply(X2,add(X3,X4)) | X7 != X1, % 35.37/4.86 inference(reflexivity, [assumptions([a5])], [c11])). % 35.37/4.86 % 35.37/4.86 cnf(c17, axiom, % 35.37/4.86 add(X10,additive_identity) = X10). % 35.37/4.86 cnf(a6, assumption, % 35.37/4.86 add(X3,X4) = add(X10,additive_identity)). % 35.37/4.86 cnf(c18, plain, % 35.37/4.86 X7 != X1, % 35.37/4.86 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 35.37/4.86 cnf(c19, plain, % 35.37/4.86 $false, % 35.37/4.86 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 35.37/4.86 cnf(c20, plain, % 35.37/4.86 X11 != X10 | X7 != multiply(X2,X11), % 35.37/4.86 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 35.37/4.86 % 35.37/4.86 cnf(a7, assumption, % 35.37/4.86 X11 = X10). % 35.37/4.86 cnf(c21, plain, % 35.37/4.86 X7 != multiply(X2,X11), % 35.37/4.86 inference(reflexivity, [assumptions([a7])], [c20])). % 35.37/4.86 % 35.37/4.86 cnf(c22, plain, % 35.37/4.86 X5 = multiply(X2,X3)). % 35.37/4.86 cnf(a8, assumption, % 35.37/4.86 multiply(X2,X11) = multiply(X2,X3)). % 35.37/4.86 cnf(c23, plain, % 35.37/4.86 $false, % 35.37/4.86 inference(equality_reduction, [assumptions([a8])], [c21, c22])). % 35.37/4.86 cnf(c24, plain, % 35.37/4.86 X7 != X5, % 35.37/4.86 inference(equality_reduction, [assumptions([a8])], [c21, c22])). % 35.37/4.86 % 35.37/4.86 cnf(a9, assumption, % 35.37/4.86 X7 = X5). % 35.37/4.86 cnf(c25, plain, % 35.37/4.86 $false, % 35.37/4.86 inference(reflexivity, [assumptions([a9])], [c24])). % 35.37/4.86 % 35.37/4.86 cnf(a10, assumption, % 35.37/4.86 X7 = X1). % 35.37/4.86 cnf(c26, plain, % 35.37/4.86 $false, % 35.37/4.86 inference(reflexivity, [assumptions([a10])], [c18])). % 35.37/4.86 % 35.37/4.86 cnf(a11, assumption, % 35.37/4.86 additive_identity = X1). % 35.37/4.86 cnf(c27, plain, % 35.37/4.86 $false, % 35.37/4.86 inference(reflexivity, [assumptions([a11])], [c7])). % 35.37/4.86 % 35.37/4.86 cnf(c28, plain, % 35.37/4.86 $false, % 35.37/4.86 inference(constraint_solving, [ % 35.37/4.87 bind(X0, multiply(a,additive_identity)), % 35.37/4.87 bind(X1, additive_identity), % 35.37/4.87 bind(X2, a), % 35.37/4.87 bind(X3, inverse(X8)), % 35.37/4.87 bind(X4, additive_identity), % 35.37/4.87 bind(X7, additive_identity), % 35.37/4.87 bind(X5, additive_identity), % 35.37/4.87 bind(X6, multiply(a,additive_identity)), % 35.37/4.87 bind(X8, a), % 35.37/4.87 bind(X9, additive_identity), % 35.37/4.87 bind(X10, inverse(X8)), % 35.37/4.87 bind(X11, inverse(X8)) % 35.37/4.87 ], % 35.37/4.87 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])). % 35.37/4.87 % 35.37/4.87 % SZS output end IncompleteProof 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