%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : ITP010+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n020.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 : Sun Jul 17 01:27:11 EDT 2022

% Result   : Theorem 1.91s 2.10s
% Output   : Proof 1.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ITP010+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.03/0.13  % Command  : run_zenon %s %d
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 : Thu Jun  2 23:23:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.91/2.10  (* PROOF-FOUND *)
% 1.91/2.10  % SZS status Theorem
% 1.91/2.10  (* BEGIN-PROOF *)
% 1.91/2.10  % SZS output start Proof
% 1.91/2.10  Theorem conj_thm_2Ecardinal_2ECARD__NOT__LE : (forall A_27a : zenon_U, ((ne A_27a)->(forall A_27b : zenon_U, ((ne A_27b)->(forall V0s : zenon_U, ((mem V0s (arr A_27a (bool)))->(forall V1t : zenon_U, ((mem V1t (arr A_27b (bool)))->((~(p (ap (ap (c_2Ecardinal_2Ecardleq A_27a A_27b) V0s) V1t)))<->(~(p (ap (ap (c_2Ecardinal_2Ecardleq A_27a A_27b) V0s) V1t)))))))))))).
% 1.91/2.10  Proof.
% 1.91/2.10  apply NNPP. intro zenon_G.
% 1.91/2.10  apply (zenon_notallex_s (fun A_27a : zenon_U => ((ne A_27a)->(forall A_27b : zenon_U, ((ne A_27b)->(forall V0s : zenon_U, ((mem V0s (arr A_27a (bool)))->(forall V1t : zenon_U, ((mem V1t (arr A_27b (bool)))->((~(p (ap (ap (c_2Ecardinal_2Ecardleq A_27a A_27b) V0s) V1t)))<->(~(p (ap (ap (c_2Ecardinal_2Ecardleq A_27a A_27b) V0s) V1t)))))))))))) zenon_G); [ zenon_intro zenon_H2139; idtac ].
% 1.91/2.10  elim zenon_H2139. zenon_intro zenon_TA_27a_mpe. zenon_intro zenon_H213b.
% 1.91/2.10  apply (zenon_notimply_s _ _ zenon_H213b). zenon_intro zenon_H213d. zenon_intro zenon_H213c.
% 1.91/2.10  apply (zenon_notallex_s (fun A_27b : zenon_U => ((ne A_27b)->(forall V0s : zenon_U, ((mem V0s (arr zenon_TA_27a_mpe (bool)))->(forall V1t : zenon_U, ((mem V1t (arr A_27b (bool)))->((~(p (ap (ap (c_2Ecardinal_2Ecardleq zenon_TA_27a_mpe A_27b) V0s) V1t)))<->(~(p (ap (ap (c_2Ecardinal_2Ecardleq zenon_TA_27a_mpe A_27b) V0s) V1t)))))))))) zenon_H213c); [ zenon_intro zenon_H213e; idtac ].
% 1.91/2.10  elim zenon_H213e. zenon_intro zenon_TA_27b_mpj. zenon_intro zenon_H2140.
% 1.91/2.10  apply (zenon_notimply_s _ _ zenon_H2140). zenon_intro zenon_H2142. zenon_intro zenon_H2141.
% 1.91/2.10  apply (zenon_notallex_s (fun V0s : zenon_U => ((mem V0s (arr zenon_TA_27a_mpe (bool)))->(forall V1t : zenon_U, ((mem V1t (arr zenon_TA_27b_mpj (bool)))->((~(p (ap (ap (c_2Ecardinal_2Ecardleq zenon_TA_27a_mpe zenon_TA_27b_mpj) V0s) V1t)))<->(~(p (ap (ap (c_2Ecardinal_2Ecardleq zenon_TA_27a_mpe zenon_TA_27b_mpj) V0s) V1t)))))))) zenon_H2141); [ zenon_intro zenon_H2143; idtac ].
% 1.91/2.10  elim zenon_H2143. zenon_intro zenon_TV0s_mpo. zenon_intro zenon_H2145.
% 1.91/2.10  apply (zenon_notimply_s _ _ zenon_H2145). zenon_intro zenon_H2147. zenon_intro zenon_H2146.
% 1.91/2.10  apply (zenon_notallex_s (fun V1t : zenon_U => ((mem V1t (arr zenon_TA_27b_mpj (bool)))->((~(p (ap (ap (c_2Ecardinal_2Ecardleq zenon_TA_27a_mpe zenon_TA_27b_mpj) zenon_TV0s_mpo) V1t)))<->(~(p (ap (ap (c_2Ecardinal_2Ecardleq zenon_TA_27a_mpe zenon_TA_27b_mpj) zenon_TV0s_mpo) V1t)))))) zenon_H2146); [ zenon_intro zenon_H2148; idtac ].
% 1.91/2.10  elim zenon_H2148. zenon_intro zenon_TV1t_mpt. zenon_intro zenon_H214a.
% 1.91/2.10  apply (zenon_notimply_s _ _ zenon_H214a). zenon_intro zenon_H214c. zenon_intro zenon_H214b.
% 1.91/2.10  apply (zenon_notequiv_s _ _ zenon_H214b); [ zenon_intro zenon_H214d; zenon_intro zenon_H214e | zenon_intro zenon_H214e; zenon_intro zenon_H214d ].
% 1.91/2.10  exact (zenon_H214d zenon_H214e).
% 1.91/2.10  exact (zenon_H214d zenon_H214e).
% 1.91/2.10  Qed.
% 1.91/2.10  % SZS output end Proof
% 1.91/2.10  (* END-PROOF *)
% 1.91/2.10  nodes searched: 145
% 1.91/2.10  max branch formulas: 8768
% 1.91/2.10  proof nodes created: 12
% 1.91/2.10  formulas created: 408056
% 1.91/2.10  
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