TSTP Solution File: SYN729+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN729+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n014.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 13:55:21 EDT 2022
% Result : Theorem 0.17s 0.46s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN729+1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : run_zenon %s %d
% 0.12/0.32 % Computer : n014.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jul 11 13:48:34 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.46 (* PROOF-FOUND *)
% 0.17/0.46 % SZS status Theorem
% 0.17/0.46 (* BEGIN-PROOF *)
% 0.17/0.46 % SZS output start Proof
% 0.17/0.46 Theorem thm72 : (((forall X : zenon_U, (exists Y : zenon_U, ((p X)->((l X (g (h Y)))/\(p Y)))))/\(forall W : zenon_U, ((p W)->((p (g W))/\(p (h W))))))->(forall X : zenon_U, ((p X)->(exists Y : zenon_U, ((l X Y)/\(p Y)))))).
% 0.17/0.46 Proof.
% 0.17/0.46 apply NNPP. intro zenon_G.
% 0.17/0.46 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1.
% 0.17/0.46 apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3.
% 0.17/0.46 apply (zenon_notallex_s (fun X : zenon_U => ((p X)->(exists Y : zenon_U, ((l X Y)/\(p Y))))) zenon_H1); [ zenon_intro zenon_H5; idtac ].
% 0.17/0.46 elim zenon_H5. zenon_intro zenon_TX_g. zenon_intro zenon_H7.
% 0.17/0.46 apply (zenon_notimply_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.17/0.46 generalize (zenon_H4 zenon_TX_g). zenon_intro zenon_Ha.
% 0.17/0.46 elim zenon_Ha. zenon_intro zenon_TY_l. zenon_intro zenon_Hc.
% 0.17/0.46 apply (zenon_imply_s _ _ zenon_Hc); [ zenon_intro zenon_He | zenon_intro zenon_Hd ].
% 0.17/0.46 exact (zenon_He zenon_H9).
% 0.17/0.46 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.17/0.46 generalize (zenon_H3 (h zenon_TY_l)). zenon_intro zenon_H11.
% 0.17/0.46 apply (zenon_imply_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ].
% 0.17/0.46 generalize (zenon_H3 zenon_TY_l). zenon_intro zenon_H14.
% 0.17/0.46 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ].
% 0.17/0.46 exact (zenon_H16 zenon_Hf).
% 0.17/0.46 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 0.17/0.46 exact (zenon_H13 zenon_H17).
% 0.17/0.46 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.17/0.46 apply zenon_H8. exists (g (h zenon_TY_l)). apply NNPP. zenon_intro zenon_H1b.
% 0.17/0.46 apply (zenon_notand_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ].
% 0.17/0.46 exact (zenon_H1d zenon_H10).
% 0.17/0.46 exact (zenon_H1c zenon_H1a).
% 0.17/0.46 Qed.
% 0.17/0.46 % SZS output end Proof
% 0.17/0.46 (* END-PROOF *)
% 0.17/0.46 nodes searched: 73
% 0.17/0.46 max branch formulas: 65
% 0.17/0.46 proof nodes created: 27
% 0.17/0.46 formulas created: 437
% 0.17/0.46
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