TSTP Solution File: SYN413+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : SYN413+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n024.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 13:51:56 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
% 0.03/0.12 % Problem : SYN413+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jul 12 00:06:28 EDT 2022
% 0.11/0.33 % 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 kalish256 : ((forall Z : zenon_U, (exists Y : zenon_U, (forall X : zenon_U, ((f X Y)<->((f X Z)/\(~(f X X)))))))->(~(exists V : zenon_U, (forall U : zenon_U, (f U V))))).
% 0.18/0.49 Proof.
% 0.18/0.49 apply NNPP. intro zenon_G.
% 0.18/0.49 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1.
% 0.18/0.49 apply zenon_H1. zenon_intro zenon_H3.
% 0.18/0.49 elim zenon_H3. zenon_intro zenon_TV_e. zenon_intro zenon_H5.
% 0.18/0.49 generalize (zenon_H2 zenon_TV_e). zenon_intro zenon_H6.
% 0.18/0.49 elim zenon_H6. zenon_intro zenon_TY_h. zenon_intro zenon_H8.
% 0.18/0.49 generalize (zenon_H8 zenon_TY_h). zenon_intro zenon_H9.
% 0.18/0.49 apply (zenon_equiv_s _ _ zenon_H9); [ zenon_intro zenon_Hd; zenon_intro zenon_Hc | zenon_intro zenon_Hb; zenon_intro zenon_Ha ].
% 0.18/0.49 apply (zenon_notand_s _ _ zenon_Hc); [ zenon_intro zenon_Hf | zenon_intro zenon_He ].
% 0.18/0.49 generalize (zenon_H5 zenon_TY_h). zenon_intro zenon_H10.
% 0.18/0.49 exact (zenon_Hf zenon_H10).
% 0.18/0.49 exact (zenon_He zenon_Hd).
% 0.18/0.49 apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_H10. zenon_intro zenon_Hd.
% 0.18/0.49 exact (zenon_Hd zenon_Hb).
% 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: 121
% 0.18/0.49 max branch formulas: 58
% 0.18/0.49 proof nodes created: 28
% 0.18/0.49 formulas created: 322
% 0.18/0.49
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