%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWW221+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 01:31:24 EDT 2022 % Result : Theorem 22.43s 22.73s % Output : Proof 22.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWW221+1 : TPTP v8.1.0. Released v5.2.0. % 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n025.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 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Sun Jun 5 16:44:32 EDT 2022 % 0.13/0.35 % CPUTime : % 22.43/22.73 % SZS status Theorem % 22.43/22.73 (* PROOF-FOUND *) % 22.43/22.73 (* BEGIN-PROOF *) % 22.43/22.73 % SZS output start Proof % 22.43/22.73 1. (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) T_0) (-. (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) T_0)) ### Axiom % 22.43/22.73 2. (All B_w, (((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____)))) /\ (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____))) T_0)) => (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) B_w) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))) (c_Rings_Oinverse__class_Odivide (tc_RealDef_Oreal) (c_Groups_Oabs__class_Oabs (tc_RealDef_Oreal) (c_Groups_Ominus__class_Ominus (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))) (c_Groups_Ouminus__class_Ouminus (tc_RealDef_Oreal) (v_s____)))) (c_Int_Onumber__class_Onumber__of (tc_RealDef_Oreal) (c_Int_OBit0 (c_Int_OBit1 (c_Int_OPls)))))))) (-. (All B_w, (((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____)))) /\ (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____))) T_0)) => (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) B_w) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))) (c_Rings_Oinverse__class_Odivide (tc_RealDef_Oreal) (c_Groups_Oabs__class_Oabs (tc_RealDef_Oreal) (c_Groups_Ominus__class_Ominus (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))) (c_Groups_Ouminus__class_Ouminus (tc_RealDef_Oreal) (v_s____)))) (c_Int_Onumber__class_Onumber__of (tc_RealDef_Oreal) (c_Int_OBit0 (c_Int_OBit1 (c_Int_OPls))))))))) ### Axiom % 22.43/22.73 3. (-. (v_thesis____)) (v_thesis____) ### P-NotP % 22.43/22.73 4. ((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) T_0) => ((All B_w, (((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____)))) /\ (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____))) T_0)) => (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) B_w) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))) (c_Rings_Oinverse__class_Odivide (tc_RealDef_Oreal) (c_Groups_Oabs__class_Oabs (tc_RealDef_Oreal) (c_Groups_Ominus__class_Ominus (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))) (c_Groups_Ouminus__class_Ouminus (tc_RealDef_Oreal) (v_s____)))) (c_Int_Onumber__class_Onumber__of (tc_RealDef_Oreal) (c_Int_OBit0 (c_Int_OBit1 (c_Int_OPls)))))))) => (v_thesis____))) (-. (v_thesis____)) (All B_w, (((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____)))) /\ (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____))) T_0)) => (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) B_w) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))) (c_Rings_Oinverse__class_Odivide (tc_RealDef_Oreal) (c_Groups_Oabs__class_Oabs (tc_RealDef_Oreal) (c_Groups_Ominus__class_Ominus (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))) (c_Groups_Ouminus__class_Ouminus (tc_RealDef_Oreal) (v_s____)))) (c_Int_Onumber__class_Onumber__of (tc_RealDef_Oreal) (c_Int_OBit0 (c_Int_OBit1 (c_Int_OPls)))))))) (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) T_0) ### DisjTree 1 2 3 % 22.43/22.73 5. (All B_d, ((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) B_d) => ((All B_w, (((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____)))) /\ (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____))) B_d)) => (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) B_w) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))) (c_Rings_Oinverse__class_Odivide (tc_RealDef_Oreal) (c_Groups_Oabs__class_Oabs (tc_RealDef_Oreal) (c_Groups_Ominus__class_Ominus (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))) (c_Groups_Ouminus__class_Ouminus (tc_RealDef_Oreal) (v_s____)))) (c_Int_Onumber__class_Onumber__of (tc_RealDef_Oreal) (c_Int_OBit0 (c_Int_OBit1 (c_Int_OPls)))))))) => (v_thesis____)))) (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) T_0) (All B_w, (((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____)))) /\ (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____))) T_0)) => (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) B_w) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))) (c_Rings_Oinverse__class_Odivide (tc_RealDef_Oreal) (c_Groups_Oabs__class_Oabs (tc_RealDef_Oreal) (c_Groups_Ominus__class_Ominus (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))) (c_Groups_Ouminus__class_Ouminus (tc_RealDef_Oreal) (v_s____)))) (c_Int_Onumber__class_Onumber__of (tc_RealDef_Oreal) (c_Int_OBit0 (c_Int_OBit1 (c_Int_OPls)))))))) (-. (v_thesis____)) ### All 4 % 22.43/22.73 6. ((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) T_0) /\ (All B_w, (((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____)))) /\ (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____))) T_0)) => (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) B_w) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))) (c_Rings_Oinverse__class_Odivide (tc_RealDef_Oreal) (c_Groups_Oabs__class_Oabs (tc_RealDef_Oreal) (c_Groups_Ominus__class_Ominus (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))) (c_Groups_Ouminus__class_Ouminus (tc_RealDef_Oreal) (v_s____)))) (c_Int_Onumber__class_Onumber__of (tc_RealDef_Oreal) (c_Int_OBit0 (c_Int_OBit1 (c_Int_OPls))))))))) (-. (v_thesis____)) (All B_d, ((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) B_d) => ((All B_w, (((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____)))) /\ (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____))) B_d)) => (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) B_w) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))) (c_Rings_Oinverse__class_Odivide (tc_RealDef_Oreal) (c_Groups_Oabs__class_Oabs (tc_RealDef_Oreal) (c_Groups_Ominus__class_Ominus (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))) (c_Groups_Ouminus__class_Ouminus (tc_RealDef_Oreal) (v_s____)))) (c_Int_Onumber__class_Onumber__of (tc_RealDef_Oreal) (c_Int_OBit0 (c_Int_OBit1 (c_Int_OPls)))))))) => (v_thesis____)))) ### And 5 % 22.43/22.74 7. (Ex B_d, ((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) B_d) /\ (All B_w, (((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____)))) /\ (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____))) B_d)) => (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) B_w) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))) (c_Rings_Oinverse__class_Odivide (tc_RealDef_Oreal) (c_Groups_Oabs__class_Oabs (tc_RealDef_Oreal) (c_Groups_Ominus__class_Ominus (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))) (c_Groups_Ouminus__class_Ouminus (tc_RealDef_Oreal) (v_s____)))) (c_Int_Onumber__class_Onumber__of (tc_RealDef_Oreal) (c_Int_OBit0 (c_Int_OBit1 (c_Int_OPls)))))))))) (All B_d, ((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) B_d) => ((All B_w, (((c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_Groups_Ozero__class_Ozero (tc_RealDef_Oreal)) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____)))) /\ (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) B_w (v_z____))) B_d)) => (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (c_Groups_Ominus__class_Ominus (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) B_w) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))) (c_Rings_Oinverse__class_Odivide (tc_RealDef_Oreal) (c_Groups_Oabs__class_Oabs (tc_RealDef_Oreal) (c_Groups_Ominus__class_Ominus (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))) (c_Groups_Ouminus__class_Ouminus (tc_RealDef_Oreal) (v_s____)))) (c_Int_Onumber__class_Onumber__of (tc_RealDef_Oreal) (c_Int_OBit0 (c_Int_OBit1 (c_Int_OPls)))))))) => (v_thesis____)))) (-. (v_thesis____)) ### Exists 6 % 22.43/22.74 % SZS output end Proof % 22.43/22.74 (* END-PROOF *) %------------------------------------------------------------------------------