TSTP Solution File: SYN937+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN937+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n003.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 13:56:33 EDT 2022
% Result : Theorem 0.18s 0.48s
% 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
% 0.06/0.11 % Problem : SYN937+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 13:45:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 (* PROOF-FOUND *)
% 0.18/0.48 % SZS status Theorem
% 0.18/0.48 (* BEGIN-PROOF *)
% 0.18/0.48 % SZS output start Proof
% 0.18/0.48 Theorem prove_this : ((forall X : zenon_U, ((p X)->(c)))<->((exists X : zenon_U, (p X))->(c))).
% 0.18/0.48 Proof.
% 0.18/0.48 assert (zenon_L1_ : (~(c)) -> (c) -> False).
% 0.18/0.48 do 0 intro. intros zenon_H1 zenon_H2.
% 0.18/0.48 exact (zenon_H1 zenon_H2).
% 0.18/0.48 (* end of lemma zenon_L1_ *)
% 0.18/0.48 apply NNPP. intro zenon_G.
% 0.18/0.48 apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H6; zenon_intro zenon_H5 | zenon_intro zenon_H4; zenon_intro zenon_H3 ].
% 0.18/0.48 apply (zenon_notallex_s (fun X : zenon_U => ((p X)->(c))) zenon_H6); [ zenon_intro zenon_H7; idtac ].
% 0.18/0.48 elim zenon_H7. zenon_intro zenon_TX_i. zenon_intro zenon_H9.
% 0.18/0.48 apply (zenon_notimply_s _ _ zenon_H9). zenon_intro zenon_Ha. zenon_intro zenon_H1.
% 0.18/0.48 apply (zenon_imply_s _ _ zenon_H5); [ zenon_intro zenon_Hb | zenon_intro zenon_H2 ].
% 0.18/0.48 apply zenon_Hb. exists zenon_TX_i. apply NNPP. zenon_intro zenon_Hc.
% 0.18/0.48 exact (zenon_Hc zenon_Ha).
% 0.18/0.48 exact (zenon_H1 zenon_H2).
% 0.18/0.48 apply (zenon_notimply_s _ _ zenon_H3). zenon_intro zenon_Hd. zenon_intro zenon_H1.
% 0.18/0.48 elim zenon_Hd. zenon_intro zenon_TX_o. zenon_intro zenon_Hf.
% 0.18/0.48 generalize (zenon_H4 zenon_TX_o). zenon_intro zenon_H10.
% 0.18/0.48 apply (zenon_imply_s _ _ zenon_H10); [ zenon_intro zenon_H11 | zenon_intro zenon_H2 ].
% 0.18/0.48 exact (zenon_H11 zenon_Hf).
% 0.18/0.48 exact (zenon_H1 zenon_H2).
% 0.18/0.48 Qed.
% 0.18/0.48 % SZS output end Proof
% 0.18/0.48 (* END-PROOF *)
% 0.18/0.48 nodes searched: 18
% 0.18/0.48 max branch formulas: 11
% 0.18/0.48 proof nodes created: 12
% 0.18/0.48 formulas created: 104
% 0.18/0.48
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