TSTP Solution File: SYN407+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN407+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n023.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 13:51:54 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
% 0.07/0.11 % Problem : SYN407+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n023.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 20:22:09 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 kalish241 : ((forall X : zenon_U, ((f X)->((g X)\/(h X))))->((forall Y : zenon_U, ((f Y)->(g Y)))\/(exists Z : zenon_U, ((f Z)/\(h Z))))).
% 0.18/0.48 Proof.
% 0.18/0.48 apply NNPP. intro zenon_G.
% 0.18/0.48 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1.
% 0.18/0.48 apply (zenon_notor_s _ _ zenon_H1). zenon_intro zenon_H4. zenon_intro zenon_H3.
% 0.18/0.48 apply (zenon_notallex_s (fun Y : zenon_U => ((f Y)->(g Y))) zenon_H4); [ zenon_intro zenon_H5; idtac ].
% 0.18/0.48 elim zenon_H5. zenon_intro zenon_TY_g. zenon_intro zenon_H7.
% 0.18/0.48 apply (zenon_notimply_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.18/0.48 generalize (zenon_H2 zenon_TY_g). zenon_intro zenon_Ha.
% 0.18/0.48 apply (zenon_imply_s _ _ zenon_Ha); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ].
% 0.18/0.48 exact (zenon_Hc zenon_H9).
% 0.18/0.48 apply (zenon_or_s _ _ zenon_Hb); [ zenon_intro zenon_He | zenon_intro zenon_Hd ].
% 0.18/0.48 exact (zenon_H8 zenon_He).
% 0.18/0.48 apply zenon_H3. exists zenon_TY_g. apply NNPP. zenon_intro zenon_Hf.
% 0.18/0.48 apply (zenon_notand_s _ _ zenon_Hf); [ zenon_intro zenon_Hc | zenon_intro zenon_H10 ].
% 0.18/0.48 exact (zenon_Hc zenon_H9).
% 0.18/0.48 exact (zenon_H10 zenon_Hd).
% 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: 22
% 0.18/0.48 max branch formulas: 21
% 0.18/0.48 proof nodes created: 12
% 0.18/0.48 formulas created: 140
% 0.18/0.48
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