TSTP Solution File: SYN382+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN382+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n026.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 13:51:41 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN382+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 17:38:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 (* PROOF-FOUND *)
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 (* BEGIN-PROOF *)
% 0.19/0.49 % SZS output start Proof
% 0.19/0.49 Theorem x2134 : ((forall Z : zenon_U, (exists X : zenon_U, ((forall Y : zenon_U, (big_p X Y))\/(big_q X Z))))->(forall Y : zenon_U, (exists X : zenon_U, ((big_p X Y)\/(big_q X Y))))).
% 0.19/0.49 Proof.
% 0.19/0.49 apply NNPP. intro zenon_G.
% 0.19/0.49 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1.
% 0.19/0.49 apply (zenon_notallex_s (fun Y : zenon_U => (exists X : zenon_U, ((big_p X Y)\/(big_q X Y)))) zenon_H1); [ zenon_intro zenon_H3; idtac ].
% 0.19/0.49 elim zenon_H3. zenon_intro zenon_TY_e. zenon_intro zenon_H5.
% 0.19/0.49 generalize (zenon_H2 zenon_TY_e). zenon_intro zenon_H6.
% 0.19/0.49 elim zenon_H6. zenon_intro zenon_TX_h. zenon_intro zenon_H8.
% 0.19/0.49 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ].
% 0.19/0.49 generalize (zenon_Ha zenon_TY_e). zenon_intro zenon_Hb.
% 0.19/0.49 apply zenon_H5. exists zenon_TX_h. apply NNPP. zenon_intro zenon_Hc.
% 0.19/0.49 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.19/0.49 exact (zenon_He zenon_Hb).
% 0.19/0.49 apply zenon_H5. exists zenon_TX_h. apply NNPP. zenon_intro zenon_Hc.
% 0.19/0.49 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.19/0.49 exact (zenon_Hd zenon_H9).
% 0.19/0.49 Qed.
% 0.19/0.49 % SZS output end Proof
% 0.19/0.49 (* END-PROOF *)
% 0.19/0.49 nodes searched: 33
% 0.19/0.49 max branch formulas: 22
% 0.19/0.49 proof nodes created: 19
% 0.19/0.49 formulas created: 164
% 0.19/0.49
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