%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWW232+1 : TPTP v8.1.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n025.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 21 01:31:25 EDT 2022 % Result : Theorem 7.89s 8.08s % Output : Proof 7.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SWW232+1 : TPTP v8.1.0. Released v5.2.0. % 0.04/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n025.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 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sat Jun 4 13:41:16 EDT 2022 % 0.12/0.34 % CPUTime : % 7.89/8.08 % SZS status Theorem % 7.89/8.08 (* PROOF-FOUND *) % 7.89/8.08 (* BEGIN-PROOF *) % 7.89/8.08 % SZS output start Proof % 7.89/8.08 1. ((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) ((v_cs____) = (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) ### Axiom % 7.89/8.08 2. (-. ((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex))))) ((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) ### NotNot 1 % 7.89/8.08 3. (-. (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oplus__class_Oplus (tc_RealDef_Oreal) (v_da____) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (v_aa____))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z))))))) (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oplus__class_Oplus (tc_RealDef_Oreal) (v_da____) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (v_aa____))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z)))))) ### Axiom % 7.89/8.08 4. (((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) => (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oplus__class_Oplus (tc_RealDef_Oreal) (v_da____) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (v_aa____))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z))))))) (-. (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oplus__class_Oplus (tc_RealDef_Oreal) (v_da____) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (v_aa____))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z))))))) ((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) ### Imply 2 3 % 7.89/8.08 5. (All V_d, (((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) => (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) V_d (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z)))))))) ((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) (-. (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oplus__class_Oplus (tc_RealDef_Oreal) (v_da____) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (v_aa____))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z))))))) ### All 4 % 7.89/8.08 6. (All V_a, (All V_d, (((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) => (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) V_d (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) V_a (v_cs____))) B_z))))))))) (-. (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oplus__class_Oplus (tc_RealDef_Oreal) (v_da____) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (v_aa____))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z))))))) ((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) ### All 5 % 7.89/8.08 7. (-. (v_thesis____)) (v_thesis____) ### P-NotP % 7.89/8.08 8. ((Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oplus__class_Oplus (tc_RealDef_Oreal) (v_da____) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (v_aa____))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z)))))) => (v_thesis____)) (-. (v_thesis____)) ((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) (All V_a, (All V_d, (((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) => (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) V_d (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) V_a (v_cs____))) B_z))))))))) ### Imply 6 7 % 7.89/8.08 % SZS output end Proof % 7.89/8.08 (* END-PROOF *) %------------------------------------------------------------------------------