%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ALG387-1 : 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 : 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 17:21:21 EDT 2022 % Result : Unsatisfiable 1.46s 0.56s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : ALG387-1 : TPTP v8.1.0. Released v4.1.0. % 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n028.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 13:42:01 EDT 2022 % 0.12/0.33 % CPUTime : % 1.46/0.56 % SZS status Unsatisfiable % 1.46/0.56 % SZS output begin IncompleteProof % 1.46/0.56 cnf(c0, axiom, % 1.46/0.56 ~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)). % 1.46/0.56 cnf(c1, plain, % 1.46/0.56 ~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal), % 1.46/0.56 inference(start, [], [c0])). % 1.46/0.56 % 1.46/0.56 cnf(c2, axiom, % 1.46/0.56 ~c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)). % 1.46/0.56 cnf(a0, assumption, % 1.46/0.56 c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)). % 1.46/0.56 cnf(a1, assumption, % 1.46/0.56 c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)). % 1.46/0.56 cnf(a2, assumption, % 1.46/0.56 tc_RealDef_Oreal = tc_RealDef_Oreal). % 1.46/0.56 cnf(c3, plain, % 1.46/0.56 $false, % 1.46/0.56 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 1.46/0.56 cnf(c4, plain, % 1.46/0.56 ~c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal), % 1.46/0.56 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 1.46/0.56 % 1.46/0.56 cnf(c5, axiom, % 1.46/0.56 c_lessequals(X2,c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),tc_RealDef_Oreal) | c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)). % 1.46/0.56 cnf(a3, assumption, % 1.46/0.56 v_r____ = X2). % 1.46/0.56 cnf(a4, assumption, % 1.46/0.56 c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex)). % 1.46/0.56 cnf(a5, assumption, % 1.46/0.56 tc_RealDef_Oreal = tc_RealDef_Oreal). % 1.46/0.56 cnf(c6, plain, % 1.46/0.56 $false, % 1.46/0.56 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 1.46/0.56 cnf(c7, plain, % 1.46/0.56 c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),tc_RealDef_Oreal), % 1.46/0.56 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 1.46/0.56 % 1.46/0.56 cnf(c8, axiom, % 1.46/0.56 ~c_lessequals(c_RealVector_Onorm__class_Onorm(X4,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)). % 1.46/0.56 cnf(a6, assumption, % 1.46/0.56 c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(X4,tc_Complex_Ocomplex)). % 1.46/0.56 cnf(a7, assumption, % 1.46/0.56 c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal)). % 1.46/0.56 cnf(a8, assumption, % 1.46/0.56 tc_RealDef_Oreal = tc_RealDef_Oreal). % 1.46/0.56 cnf(c9, plain, % 1.46/0.56 $false, % 1.46/0.56 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 1.46/0.56 cnf(c10, plain, % 1.46/0.56 c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal), % 1.46/0.56 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 1.46/0.56 % 1.46/0.56 cnf(c11, plain, % 1.46/0.56 ~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)). % 1.46/0.56 cnf(a9, assumption, % 1.46/0.56 c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)). % 1.46/0.56 cnf(a10, assumption, % 1.46/0.56 c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex)). % 1.46/0.56 cnf(a11, assumption, % 1.46/0.56 tc_RealDef_Oreal = tc_RealDef_Oreal). % 1.46/0.56 cnf(c12, plain, % 1.46/0.56 $false, % 1.46/0.56 inference(predicate_reduction, [assumptions([a9, a10, a11])], [c10, c11])). % 1.46/0.56 % 1.46/0.56 cnf(c13, plain, % 1.46/0.56 $false, % 1.46/0.56 inference(constraint_solving, [ % 1.46/0.56 bind(X0, v_v____), % 1.46/0.56 bind(X1, hAPP(v_x,X0)), % 1.46/0.56 bind(X2, v_r____), % 1.46/0.56 bind(X3, hAPP(v_x,X0)), % 1.46/0.56 bind(X4, hAPP(v_x,X0)) % 1.46/0.56 ], % 1.46/0.56 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])). % 1.46/0.56 % 1.46/0.56 % SZS output end IncompleteProof %------------------------------------------------------------------------------