%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ALG438-1 : 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 17:21:28 EDT 2022 % Result : Unsatisfiable 0.12s 0.39s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ALG438-1 : TPTP v8.1.0. Released v4.1.0. % 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n021.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jun 8 02:14:52 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.39 % SZS status Unsatisfiable % 0.12/0.39 % SZS output begin IncompleteProof % 0.12/0.39 cnf(c0, axiom, % 0.12/0.39 c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))). % 0.12/0.39 cnf(c1, plain, % 0.12/0.39 c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)), % 0.12/0.39 inference(start, [], [c0])). % 0.12/0.39 % 0.12/0.39 cnf(c2, axiom, % 0.12/0.39 c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X0,X1,X2),X3,tc_Polynomial_Opoly(X2)) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X0,X3,X2),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X2)),X2),tc_Polynomial_Opoly(X2)) | ~class_Ring__and__Field_Ocomm__semiring__0(X2)). % 0.12/0.39 cnf(a0, assumption, % 0.12/0.39 c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X0,X3,X2),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X2)),X2),tc_Polynomial_Opoly(X2))). % 0.12/0.39 cnf(c3, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.39 cnf(c4, plain, % 0.12/0.39 ~class_Ring__and__Field_Ocomm__semiring__0(X2), % 0.12/0.39 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.39 cnf(c5, plain, % 0.12/0.39 X4 != c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X0,X1,X2),X3,tc_Polynomial_Opoly(X2)) | c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X4, % 0.12/0.39 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.39 % 0.12/0.39 cnf(a1, assumption, % 0.12/0.39 X4 = c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X0,X1,X2),X3,tc_Polynomial_Opoly(X2))). % 0.12/0.39 cnf(c6, plain, % 0.12/0.39 c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != X4, % 0.12/0.39 inference(reflexivity, [assumptions([a1])], [c5])). % 0.12/0.39 % 0.12/0.39 cnf(a2, assumption, % 0.12/0.39 c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X4). % 0.12/0.39 cnf(c7, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(reflexivity, [assumptions([a2])], [c6])). % 0.12/0.39 % 0.12/0.39 cnf(c8, axiom, % 0.12/0.39 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)). % 0.12/0.39 cnf(a3, assumption, % 0.12/0.39 X2 = tc_Complex_Ocomplex). % 0.12/0.39 cnf(c9, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(strict_predicate_extension, [assumptions([a3])], [c4, c8])). % 0.12/0.39 cnf(c10, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(strict_predicate_extension, [assumptions([a3])], [c4, c8])). % 0.12/0.39 % 0.12/0.39 cnf(c11, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(constraint_solving, [ % 0.12/0.39 bind(X0, v_a), % 0.12/0.39 bind(X1, c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex)), % 0.12/0.39 bind(X2, tc_Complex_Ocomplex), % 0.12/0.39 bind(X3, v_q), % 0.12/0.39 bind(X4, c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X0,X1,X2),X3,tc_Polynomial_Opoly(X2))) % 0.12/0.39 ], % 0.12/0.39 [a0, a1, a2, a3])). % 0.12/0.39 % 0.12/0.39 % SZS output end IncompleteProof %------------------------------------------------------------------------------