%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ALG372-1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n021.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 17:21:16 EDT 2022 % Result : Unsatisfiable 80.70s 11.09s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : ALG372-1 : TPTP v8.1.0. Released v4.1.0. % 0.06/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n021.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Thu Jun 9 05:55:53 EDT 2022 % 0.13/0.34 % CPUTime : % 80.70/11.09 % SZS status Unsatisfiable % 80.70/11.09 % SZS output begin IncompleteProof % 80.70/11.09 cnf(c0, axiom, % 80.70/11.09 ~c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)). % 80.70/11.09 cnf(c1, plain, % 80.70/11.09 ~c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal), % 80.70/11.09 inference(start, [], [c0])). % 80.70/11.09 % 80.70/11.09 cnf(c2, axiom, % 80.70/11.09 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0) | ~class_RealVector_Oreal__normed__vector(X0)). % 80.70/11.09 cnf(a0, assumption, % 80.70/11.09 c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0)). % 80.70/11.09 cnf(c3, plain, % 80.70/11.09 c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal), % 80.70/11.09 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 80.70/11.09 cnf(c4, plain, % 80.70/11.09 ~class_RealVector_Oreal__normed__vector(X0), % 80.70/11.09 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 80.70/11.09 cnf(c5, plain, % 80.70/11.09 X1 != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) | ~c_lessequals(X1,v_r,tc_RealDef_Oreal), % 80.70/11.09 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 80.70/11.09 % 80.70/11.09 cnf(a1, assumption, % 80.70/11.09 X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)). % 80.70/11.09 cnf(c6, plain, % 80.70/11.09 ~c_lessequals(X1,v_r,tc_RealDef_Oreal), % 80.70/11.09 inference(reflexivity, [assumptions([a1])], [c5])). % 80.70/11.09 % 80.70/11.09 cnf(c7, axiom, % 80.70/11.09 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)). % 80.70/11.09 cnf(a2, assumption, % 80.70/11.09 X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)). % 80.70/11.09 cnf(a3, assumption, % 80.70/11.09 v_r = v_r). % 80.70/11.09 cnf(a4, assumption, % 80.70/11.09 tc_RealDef_Oreal = tc_RealDef_Oreal). % 80.70/11.09 cnf(c8, plain, % 80.70/11.09 $false, % 80.70/11.09 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c6, c7])). % 80.70/11.09 cnf(c9, plain, % 80.70/11.09 $false, % 80.70/11.09 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c6, c7])). % 80.70/11.09 % 80.70/11.09 cnf(c10, axiom, % 80.70/11.09 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)). % 80.70/11.09 cnf(a5, assumption, % 80.70/11.09 X0 = tc_Complex_Ocomplex). % 80.70/11.09 cnf(c11, plain, % 80.70/11.09 $false, % 80.70/11.09 inference(strict_predicate_extension, [assumptions([a5])], [c4, c10])). % 80.70/11.09 cnf(c12, plain, % 80.70/11.09 $false, % 80.70/11.09 inference(strict_predicate_extension, [assumptions([a5])], [c4, c10])). % 80.70/11.09 % 80.70/11.09 cnf(c13, axiom, % 80.70/11.09 c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = X2 | ~class_OrderedGroup_Ogroup__add(X3)). % 80.70/11.09 cnf(a6, assumption, % 80.70/11.09 c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X3),X3)). % 80.70/11.09 cnf(c14, plain, % 80.70/11.09 $false, % 80.70/11.09 inference(strict_function_extension, [assumptions([a6])], [c3, c13])). % 80.70/11.09 cnf(c15, plain, % 80.70/11.09 ~class_OrderedGroup_Ogroup__add(X3), % 80.70/11.09 inference(strict_function_extension, [assumptions([a6])], [c3, c13])). % 80.70/11.09 cnf(c16, plain, % 80.70/11.09 X4 != X2 | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X4, % 80.70/11.09 inference(strict_function_extension, [assumptions([a6])], [c3, c13])). % 80.70/11.09 % 80.70/11.09 cnf(a7, assumption, % 80.70/11.09 X4 = X2). % 80.70/11.09 cnf(c17, plain, % 80.70/11.09 c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != X4, % 80.70/11.09 inference(reflexivity, [assumptions([a7])], [c16])). % 80.70/11.09 % 80.70/11.09 cnf(a8, assumption, % 80.70/11.09 c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X4). % 80.70/11.09 cnf(c18, plain, % 80.70/11.09 $false, % 80.70/11.09 inference(reflexivity, [assumptions([a8])], [c17])). % 80.70/11.09 % 80.70/11.09 cnf(c19, axiom, % 80.70/11.09 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal)). % 80.70/11.09 cnf(a9, assumption, % 80.70/11.09 X3 = tc_RealDef_Oreal). % 80.70/11.09 cnf(c20, plain, % 80.70/11.09 $false, % 80.70/11.09 inference(strict_predicate_extension, [assumptions([a9])], [c15, c19])). % 80.70/11.09 cnf(c21, plain, % 80.70/11.09 $false, % 80.70/11.09 inference(strict_predicate_extension, [assumptions([a9])], [c15, c19])). % 80.70/11.09 % 80.70/11.09 cnf(c22, plain, % 80.70/11.09 $false, % 80.70/11.09 inference(constraint_solving, [ % 80.70/11.09 bind(X0, tc_Complex_Ocomplex), % 80.70/11.09 bind(X1, c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)), % 80.70/11.09 bind(X2, c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)), % 80.70/11.09 bind(X3, tc_RealDef_Oreal), % 80.70/11.09 bind(X4, c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)) % 80.70/11.09 ], % 80.70/11.09 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9])). % 80.70/11.09 % 80.70/11.09 % SZS output end IncompleteProof %------------------------------------------------------------------------------