TSTP Solution File: SYN327+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN327+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n008.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 13:51:07 EDT 2022
% Result : Theorem 0.20s 0.50s
% 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
% 0.04/0.12 % Problem : SYN327+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n008.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 : Tue Jul 12 04:35:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 (* PROOF-FOUND *)
% 0.20/0.50 % SZS status Theorem
% 0.20/0.50 (* BEGIN-PROOF *)
% 0.20/0.50 % SZS output start Proof
% 0.20/0.50 Theorem church_46_12_2 : (forall X : zenon_U, (exists Y : zenon_U, (forall Z : zenon_U, ((big_f Y X)->(((big_f X Z)->(big_f X Y))/\((big_f X Y)->((~(big_f X Z))->((big_f Y X)/\(big_f Z Y))))))))).
% 0.20/0.50 Proof.
% 0.20/0.50 apply NNPP. intro zenon_G.
% 0.20/0.50 apply (zenon_notallex_s (fun X : zenon_U => (exists Y : zenon_U, (forall Z : zenon_U, ((big_f Y X)->(((big_f X Z)->(big_f X Y))/\((big_f X Y)->((~(big_f X Z))->((big_f Y X)/\(big_f Z Y))))))))) zenon_G); [ zenon_intro zenon_H1; idtac ].
% 0.20/0.50 elim zenon_H1. zenon_intro zenon_TX_c. zenon_intro zenon_H3.
% 0.20/0.50 apply zenon_H3. exists zenon_TX_c. apply NNPP. zenon_intro zenon_H4.
% 0.20/0.50 apply (zenon_notallex_s (fun Z : zenon_U => ((big_f zenon_TX_c zenon_TX_c)->(((big_f zenon_TX_c Z)->(big_f zenon_TX_c zenon_TX_c))/\((big_f zenon_TX_c zenon_TX_c)->((~(big_f zenon_TX_c Z))->((big_f zenon_TX_c zenon_TX_c)/\(big_f Z zenon_TX_c))))))) zenon_H4); [ zenon_intro zenon_H5; idtac ].
% 0.20/0.50 elim zenon_H5. zenon_intro zenon_TZ_g. zenon_intro zenon_H7.
% 0.20/0.50 apply (zenon_notimply_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.20/0.50 apply (zenon_notand_s _ _ zenon_H8); [ zenon_intro zenon_Hb | zenon_intro zenon_Ha ].
% 0.20/0.50 apply (zenon_notimply_s _ _ zenon_Hb). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.20/0.50 exact (zenon_Hc zenon_H9).
% 0.20/0.50 apply (zenon_notimply_s _ _ zenon_Ha). zenon_intro zenon_H9. zenon_intro zenon_He.
% 0.20/0.50 apply (zenon_notimply_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.20/0.50 apply (zenon_notand_s _ _ zenon_Hf); [ zenon_intro zenon_Hc | zenon_intro zenon_H11 ].
% 0.20/0.50 exact (zenon_Hc zenon_H9).
% 0.20/0.50 apply zenon_H3. exists zenon_TZ_g. apply NNPP. zenon_intro zenon_H12.
% 0.20/0.50 apply (zenon_notallex_s (fun Z : zenon_U => ((big_f zenon_TZ_g zenon_TX_c)->(((big_f zenon_TX_c Z)->(big_f zenon_TX_c zenon_TZ_g))/\((big_f zenon_TX_c zenon_TZ_g)->((~(big_f zenon_TX_c Z))->((big_f zenon_TZ_g zenon_TX_c)/\(big_f Z zenon_TZ_g))))))) zenon_H12); [ zenon_intro zenon_H13; idtac ].
% 0.20/0.50 elim zenon_H13. zenon_intro zenon_TZ_u. zenon_intro zenon_H15.
% 0.20/0.50 apply (zenon_notimply_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 0.20/0.50 exact (zenon_H11 zenon_H17).
% 0.20/0.50 Qed.
% 0.20/0.50 % SZS output end Proof
% 0.20/0.50 (* END-PROOF *)
% 0.20/0.50 nodes searched: 28
% 0.20/0.50 max branch formulas: 30
% 0.20/0.50 proof nodes created: 15
% 0.20/0.50 formulas created: 233
% 0.20/0.50
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