TSTP Solution File: SWW221+1 by SuperZenon---0.0.1

%------------------------------------------------------------------------------
% 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 *)
%------------------------------------------------------------------------------