TSTP Solution File: SWW229+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SWW229+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 : n023.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 26.51s 26.73s
% Output : Proof 26.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWW229+1 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jun 5 19:58:39 EDT 2022
% 0.15/0.36 % CPUTime :
% 26.51/26.73 % SZS status Theorem
% 26.51/26.73 (* PROOF-FOUND *)
% 26.51/26.73 (* BEGIN-PROOF *)
% 26.51/26.73 % SZS output start Proof
% 26.51/26.73 1. (class_RealVector_Oreal__normed__vector (tc_Complex_Ocomplex)) (-. (class_RealVector_Oreal__normed__vector (tc_Complex_Ocomplex))) ### Axiom
% 26.51/26.73 2. (-. (c_Orderings_Oord__class_Oless__eq (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_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____)))))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))))) (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)) (v_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____))))) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))))) (c_Orderings_Oord__class_Oless__eq (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_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____)))))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))))) (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)) (v_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____))))) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))))) ### Axiom
% 26.51/26.73 3. ((class_RealVector_Oreal__normed__vector (tc_Complex_Ocomplex)) => (c_Orderings_Oord__class_Oless__eq (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_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____)))))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))))) (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)) (v_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____))))) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))))) (-. (c_Orderings_Oord__class_Oless__eq (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_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____)))))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))))) (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)) (v_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____))))) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))))) (class_RealVector_Oreal__normed__vector (tc_Complex_Ocomplex)) ### Imply 1 2
% 26.51/26.73 4. (All T_a, ((class_RealVector_Oreal__normed__vector T_a) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oabs__class_Oabs (tc_RealDef_Oreal) (c_Groups_Ominus__class_Ominus (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm T_a (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____)))))) (c_RealVector_Onorm__class_Onorm T_a (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))))) (c_RealVector_Onorm__class_Onorm T_a (c_Groups_Ominus__class_Ominus T_a (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____))))) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))))))) (class_RealVector_Oreal__normed__vector (tc_Complex_Ocomplex)) (-. (c_Orderings_Oord__class_Oless__eq (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_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____)))))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))))) (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)) (v_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____))))) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))))) ### All 3
% 26.51/26.73 5. (All V_a, (All T_a, ((class_RealVector_Oreal__normed__vector T_a) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oabs__class_Oabs (tc_RealDef_Oreal) (c_Groups_Ominus__class_Ominus (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm T_a V_a) (c_RealVector_Onorm__class_Onorm T_a (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))))) (c_RealVector_Onorm__class_Onorm T_a (c_Groups_Ominus__class_Ominus T_a V_a (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))))))) (-. (c_Orderings_Oord__class_Oless__eq (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_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____)))))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))))) (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)) (v_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____))))) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))))) (class_RealVector_Oreal__normed__vector (tc_Complex_Ocomplex)) ### All 4
% 26.51/26.73 6. (All V_b, (All V_a, (All T_a, ((class_RealVector_Oreal__normed__vector T_a) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oabs__class_Oabs (tc_RealDef_Oreal) (c_Groups_Ominus__class_Ominus (tc_RealDef_Oreal) (c_RealVector_Onorm__class_Onorm T_a V_a) (c_RealVector_Onorm__class_Onorm T_a V_b))) (c_RealVector_Onorm__class_Onorm T_a (c_Groups_Ominus__class_Ominus T_a V_a V_b))))))) (class_RealVector_Oreal__normed__vector (tc_Complex_Ocomplex)) (-. (c_Orderings_Oord__class_Oless__eq (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_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____)))))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____))))) (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)) (v_g____ (hAPP (v_f____) (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (v_N1____) (v_N2____))))) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (v_p)) (v_z____)))))) ### All 5
% 26.51/26.73 % SZS output end Proof
% 26.51/26.73 (* END-PROOF *)
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