TSTP Solution File: SYN944+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN944+1 : TPTP v8.1.0. Released v3.1.0.
% 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 13:56:36 EDT 2022
% Result : Theorem 0.20s 0.52s
% 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 : SYN944+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.13/0.35 % Computer : n026.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 08:58:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 (* PROOF-FOUND *)
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 (* BEGIN-PROOF *)
% 0.20/0.52 % SZS output start Proof
% 0.20/0.52 Theorem prove_this : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (((s A)/\((s B)/\((r B C)/\((forall X : zenon_U, ((s X)->(p X)))/\(forall X : zenon_U, (forall Y : zenon_U, ((r X Y)->(q X Y))))))))->(exists X : zenon_U, (exists Y : zenon_U, ((p X)/\(q X Y)))))))).
% 0.20/0.52 Proof.
% 0.20/0.52 apply NNPP. intro zenon_G.
% 0.20/0.52 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (((s A)/\((s B)/\((r B C)/\((forall X : zenon_U, ((s X)->(p X)))/\(forall X : zenon_U, (forall Y : zenon_U, ((r X Y)->(q X Y))))))))->(exists X : zenon_U, (exists Y : zenon_U, ((p X)/\(q X Y)))))))) zenon_G); [ zenon_intro zenon_H1; idtac ].
% 0.20/0.52 elim zenon_H1. zenon_intro zenon_TA_c. zenon_intro zenon_H3.
% 0.20/0.52 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (((s zenon_TA_c)/\((s B)/\((r B C)/\((forall X : zenon_U, ((s X)->(p X)))/\(forall X : zenon_U, (forall Y : zenon_U, ((r X Y)->(q X Y))))))))->(exists X : zenon_U, (exists Y : zenon_U, ((p X)/\(q X Y))))))) zenon_H3); [ zenon_intro zenon_H4; idtac ].
% 0.20/0.52 elim zenon_H4. zenon_intro zenon_TB_f. zenon_intro zenon_H6.
% 0.20/0.52 apply (zenon_notallex_s (fun C : zenon_U => (((s zenon_TA_c)/\((s zenon_TB_f)/\((r zenon_TB_f C)/\((forall X : zenon_U, ((s X)->(p X)))/\(forall X : zenon_U, (forall Y : zenon_U, ((r X Y)->(q X Y))))))))->(exists X : zenon_U, (exists Y : zenon_U, ((p X)/\(q X Y)))))) zenon_H6); [ zenon_intro zenon_H7; idtac ].
% 0.20/0.52 elim zenon_H7. zenon_intro zenon_TC_i. zenon_intro zenon_H9.
% 0.20/0.52 apply (zenon_notimply_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.20/0.52 apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.20/0.52 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.20/0.52 apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H11. zenon_intro zenon_H10.
% 0.20/0.52 apply (zenon_and_s _ _ zenon_H10). zenon_intro zenon_H13. zenon_intro zenon_H12.
% 0.20/0.52 apply zenon_Ha. exists zenon_TB_f. apply NNPP. zenon_intro zenon_H14.
% 0.20/0.52 apply zenon_H14. exists zenon_TC_i. apply NNPP. zenon_intro zenon_H15.
% 0.20/0.52 apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ].
% 0.20/0.52 generalize (zenon_H13 zenon_TB_f). zenon_intro zenon_H18.
% 0.20/0.52 apply (zenon_imply_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 0.20/0.52 exact (zenon_H1a zenon_Hf).
% 0.20/0.52 exact (zenon_H17 zenon_H19).
% 0.20/0.52 generalize (zenon_H12 zenon_TB_f). zenon_intro zenon_H1b.
% 0.20/0.52 generalize (zenon_H1b zenon_TC_i). zenon_intro zenon_H1c.
% 0.20/0.52 apply (zenon_imply_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ].
% 0.20/0.52 exact (zenon_H1e zenon_H11).
% 0.20/0.52 exact (zenon_H16 zenon_H1d).
% 0.20/0.52 Qed.
% 0.20/0.52 % SZS output end Proof
% 0.20/0.52 (* END-PROOF *)
% 0.20/0.52 nodes searched: 61
% 0.20/0.52 max branch formulas: 55
% 0.20/0.52 proof nodes created: 21
% 0.20/0.52 formulas created: 313
% 0.20/0.52
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