TSTP Solution File: SYN403+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN403+1 : TPTP v8.1.0. Released v2.0.0.
% 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 13:51:52 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN403+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 12 04:32:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 (* PROOF-FOUND *)
% 0.20/0.51 % SZS status Theorem
% 0.20/0.51 (* BEGIN-PROOF *)
% 0.20/0.51 % SZS output start Proof
% 0.20/0.51 Theorem kalish234 : (forall X : zenon_U, ((((f X)->(g X))/\((g X)->(h X)))->((f X)->(h X)))).
% 0.20/0.51 Proof.
% 0.20/0.51 apply NNPP. intro zenon_G.
% 0.20/0.51 apply (zenon_notallex_s (fun X : zenon_U => ((((f X)->(g X))/\((g X)->(h X)))->((f X)->(h X)))) zenon_G); [ zenon_intro zenon_H1; idtac ].
% 0.20/0.51 elim zenon_H1. zenon_intro zenon_TX_c. zenon_intro zenon_H3.
% 0.20/0.51 apply (zenon_notimply_s _ _ zenon_H3). zenon_intro zenon_H5. zenon_intro zenon_H4.
% 0.20/0.51 apply (zenon_notimply_s _ _ zenon_H4). zenon_intro zenon_H7. zenon_intro zenon_H6.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H5). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.20/0.51 apply (zenon_imply_s _ _ zenon_H9); [ zenon_intro zenon_Hb | zenon_intro zenon_Ha ].
% 0.20/0.51 exact (zenon_Hb zenon_H7).
% 0.20/0.51 apply (zenon_imply_s _ _ zenon_H8); [ zenon_intro zenon_Hd | zenon_intro zenon_Hc ].
% 0.20/0.51 exact (zenon_Hd zenon_Ha).
% 0.20/0.51 exact (zenon_H6 zenon_Hc).
% 0.20/0.51 Qed.
% 0.20/0.51 % SZS output end Proof
% 0.20/0.51 (* END-PROOF *)
% 0.20/0.51 nodes searched: 8
% 0.20/0.51 max branch formulas: 9
% 0.20/0.51 proof nodes created: 7
% 0.20/0.51 formulas created: 81
% 0.20/0.51
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