TSTP Solution File: ITP010+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ITP010+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n019.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 0.18s 0.50s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP010+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.04/0.13 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 3 03:12:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.50 (* PROOF-FOUND *)
% 0.18/0.50 % SZS status Theorem
% 0.18/0.50 (* BEGIN-PROOF *)
% 0.18/0.50 % SZS output start Proof
% 0.18/0.50 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)))))))))))).
% 0.18/0.50 Proof.
% 0.18/0.50 apply NNPP. intro zenon_G.
% 0.18/0.50 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_H29; idtac ].
% 0.18/0.50 elim zenon_H29. zenon_intro zenon_TA_27a_bq. zenon_intro zenon_H2b.
% 0.18/0.50 apply (zenon_notimply_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 0.18/0.50 apply (zenon_notallex_s (fun A_27b : zenon_U => ((ne A_27b)->(forall V0s : zenon_U, ((mem V0s (arr zenon_TA_27a_bq (bool)))->(forall V1t : zenon_U, ((mem V1t (arr A_27b (bool)))->((~(p (ap (ap (c_2Ecardinal_2Ecardleq zenon_TA_27a_bq A_27b) V0s) V1t)))<->(~(p (ap (ap (c_2Ecardinal_2Ecardleq zenon_TA_27a_bq A_27b) V0s) V1t)))))))))) zenon_H2c); [ zenon_intro zenon_H2e; idtac ].
% 0.18/0.50 elim zenon_H2e. zenon_intro zenon_TA_27b_bv. zenon_intro zenon_H30.
% 0.18/0.50 apply (zenon_notimply_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31.
% 0.18/0.50 apply (zenon_notallex_s (fun V0s : zenon_U => ((mem V0s (arr zenon_TA_27a_bq (bool)))->(forall V1t : zenon_U, ((mem V1t (arr zenon_TA_27b_bv (bool)))->((~(p (ap (ap (c_2Ecardinal_2Ecardleq zenon_TA_27a_bq zenon_TA_27b_bv) V0s) V1t)))<->(~(p (ap (ap (c_2Ecardinal_2Ecardleq zenon_TA_27a_bq zenon_TA_27b_bv) V0s) V1t)))))))) zenon_H31); [ zenon_intro zenon_H33; idtac ].
% 0.18/0.50 elim zenon_H33. zenon_intro zenon_TV0s_ca. zenon_intro zenon_H35.
% 0.18/0.50 apply (zenon_notimply_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.18/0.50 apply (zenon_notallex_s (fun V1t : zenon_U => ((mem V1t (arr zenon_TA_27b_bv (bool)))->((~(p (ap (ap (c_2Ecardinal_2Ecardleq zenon_TA_27a_bq zenon_TA_27b_bv) zenon_TV0s_ca) V1t)))<->(~(p (ap (ap (c_2Ecardinal_2Ecardleq zenon_TA_27a_bq zenon_TA_27b_bv) zenon_TV0s_ca) V1t)))))) zenon_H36); [ zenon_intro zenon_H38; idtac ].
% 0.18/0.50 elim zenon_H38. zenon_intro zenon_TV1t_cf. zenon_intro zenon_H3a.
% 0.18/0.50 apply (zenon_notimply_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 0.18/0.50 apply (zenon_notequiv_s _ _ zenon_H3b); [ zenon_intro zenon_H3d; zenon_intro zenon_H3e | zenon_intro zenon_H3e; zenon_intro zenon_H3d ].
% 0.18/0.50 exact (zenon_H3d zenon_H3e).
% 0.18/0.50 exact (zenon_H3d zenon_H3e).
% 0.18/0.50 Qed.
% 0.18/0.50 % SZS output end Proof
% 0.18/0.50 (* END-PROOF *)
% 0.18/0.50 nodes searched: 17
% 0.18/0.50 max branch formulas: 61
% 0.18/0.50 proof nodes created: 12
% 0.18/0.50 formulas created: 828
% 0.18/0.50
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