TSTP Solution File: SYN979+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN979+1 : TPTP v8.1.0. Released v3.1.0.
% 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 13:56:49 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN979+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n013.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 : Tue Jul 12 01:36:14 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 prove_this : (forall A : zenon_U, (forall B : zenon_U, (exists X : zenon_U, (exists Y : zenon_U, ((((q X)->(p X A))/\((q A)/\((q B)/\(((r Y)->(p B Y))/\((r A)/\((r B)/\(((s A)->(p X Y))/\(s A))))))))->(p A B)))))).
% 0.18/0.48 Proof.
% 0.18/0.48 apply NNPP. intro zenon_G.
% 0.18/0.48 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (exists X : zenon_U, (exists Y : zenon_U, ((((q X)->(p X A))/\((q A)/\((q B)/\(((r Y)->(p B Y))/\((r A)/\((r B)/\(((s A)->(p X Y))/\(s A))))))))->(p A B)))))) zenon_G); [ zenon_intro zenon_H3; idtac ].
% 0.18/0.48 elim zenon_H3. zenon_intro zenon_TA_e. zenon_intro zenon_H5.
% 0.18/0.48 apply (zenon_notallex_s (fun B : zenon_U => (exists X : zenon_U, (exists Y : zenon_U, ((((q X)->(p X zenon_TA_e))/\((q zenon_TA_e)/\((q B)/\(((r Y)->(p B Y))/\((r zenon_TA_e)/\((r B)/\(((s zenon_TA_e)->(p X Y))/\(s zenon_TA_e))))))))->(p zenon_TA_e B))))) zenon_H5); [ zenon_intro zenon_H6; idtac ].
% 0.18/0.48 elim zenon_H6. zenon_intro zenon_TB_h. zenon_intro zenon_H8.
% 0.18/0.48 apply zenon_H8. exists zenon_TA_e. apply NNPP. zenon_intro zenon_H9.
% 0.18/0.48 apply zenon_H9. exists zenon_TB_h. apply NNPP. zenon_intro zenon_Ha.
% 0.18/0.48 apply (zenon_notimply_s _ _ zenon_Ha). zenon_intro zenon_Hc. zenon_intro zenon_Hb.
% 0.18/0.48 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.18/0.48 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.18/0.48 apply (zenon_and_s _ _ zenon_Hf). zenon_intro zenon_H12. zenon_intro zenon_H11.
% 0.18/0.48 apply (zenon_and_s _ _ zenon_H11). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.18/0.48 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H16. zenon_intro zenon_H15.
% 0.18/0.48 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 0.18/0.48 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.18/0.48 apply (zenon_imply_s _ _ zenon_H1a); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ].
% 0.18/0.48 exact (zenon_H1c zenon_H19).
% 0.18/0.48 exact (zenon_Hb zenon_H1b).
% 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: 31
% 0.18/0.48 max branch formulas: 39
% 0.18/0.48 proof nodes created: 12
% 0.18/0.48 formulas created: 325
% 0.18/0.48
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