TSTP Solution File: SYN930+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN930+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n013.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 13:56:31 EDT 2022
% Result : Theorem 0.18s 0.49s
% 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
% 0.07/0.12 % Problem : SYN930+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n013.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 : Tue Jul 12 04:14:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 (* PROOF-FOUND *)
% 0.18/0.49 % SZS status Theorem
% 0.18/0.49 (* BEGIN-PROOF *)
% 0.18/0.49 % SZS output start Proof
% 0.18/0.49 Theorem prove_this : ((forall X : zenon_U, ((p X)\/(c)))<->((forall X : zenon_U, (p X))\/(c))).
% 0.18/0.49 Proof.
% 0.18/0.49 assert (zenon_L1_ : (~(c)) -> (c) -> False).
% 0.18/0.49 do 0 intro. intros zenon_H1 zenon_H2.
% 0.18/0.49 exact (zenon_H1 zenon_H2).
% 0.18/0.49 (* end of lemma zenon_L1_ *)
% 0.18/0.49 apply NNPP. intro zenon_G.
% 0.18/0.49 apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H6; zenon_intro zenon_H5 | zenon_intro zenon_H4; zenon_intro zenon_H3 ].
% 0.18/0.49 apply (zenon_notallex_s (fun X : zenon_U => ((p X)\/(c))) zenon_H6); [ zenon_intro zenon_H7; idtac ].
% 0.18/0.49 elim zenon_H7. zenon_intro zenon_TX_i. zenon_intro zenon_H9.
% 0.18/0.49 apply (zenon_notor_s _ _ zenon_H9). zenon_intro zenon_Ha. zenon_intro zenon_H1.
% 0.18/0.49 apply (zenon_or_s _ _ zenon_H5); [ zenon_intro zenon_Hb | zenon_intro zenon_H2 ].
% 0.18/0.49 generalize (zenon_Hb zenon_TX_i). zenon_intro zenon_Hc.
% 0.18/0.49 exact (zenon_Ha zenon_Hc).
% 0.18/0.49 exact (zenon_H1 zenon_H2).
% 0.18/0.49 apply (zenon_notor_s _ _ zenon_H3). zenon_intro zenon_Hd. zenon_intro zenon_H1.
% 0.18/0.49 apply (zenon_notallex_s (fun X : zenon_U => (p X)) zenon_Hd); [ zenon_intro zenon_He; idtac ].
% 0.18/0.49 elim zenon_He. zenon_intro zenon_TX_p. zenon_intro zenon_H10.
% 0.18/0.49 generalize (zenon_H4 zenon_TX_p). zenon_intro zenon_H11.
% 0.18/0.49 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H12 | zenon_intro zenon_H2 ].
% 0.18/0.49 exact (zenon_H10 zenon_H12).
% 0.18/0.49 exact (zenon_H1 zenon_H2).
% 0.18/0.49 Qed.
% 0.18/0.49 % SZS output end Proof
% 0.18/0.49 (* END-PROOF *)
% 0.18/0.49 nodes searched: 19
% 0.18/0.49 max branch formulas: 12
% 0.18/0.49 proof nodes created: 12
% 0.18/0.49 formulas created: 107
% 0.18/0.49
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