TSTP Solution File: SYN346+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN346+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n012.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 13:51:21 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN346+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.13/0.35 % Computer : n012.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 01:23:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 Zenon warning: unused variable (X1 : zenon_U) in zenon_G
% 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 church_46_17_2 : (forall X1 : zenon_U, (forall X2 : zenon_U, (exists Y1 : zenon_U, (exists Y2 : zenon_U, (forall Z1 : zenon_U, (forall Z2 : zenon_U, ((big_f X2 Z1)->((big_f Y1 Z2)->(((big_f Y1 Z1)/\(big_f Y2 Z1))\/((big_f X2 Z2)/\(big_f Y2 Z2))))))))))).
% 0.20/0.52 Proof.
% 0.20/0.52 apply NNPP. intro zenon_G.
% 0.20/0.52 apply (zenon_notallex_s (fun X1 : zenon_U => (forall X2 : zenon_U, (exists Y1 : zenon_U, (exists Y2 : zenon_U, (forall Z1 : zenon_U, (forall Z2 : zenon_U, ((big_f X2 Z1)->((big_f Y1 Z2)->(((big_f Y1 Z1)/\(big_f Y2 Z1))\/((big_f X2 Z2)/\(big_f Y2 Z2))))))))))) zenon_G); [ zenon_intro zenon_H1; idtac ].
% 0.20/0.52 elim zenon_H1. zenon_intro zenon_TX1_c. zenon_intro zenon_H3.
% 0.20/0.52 apply (zenon_notallex_s (fun X2 : zenon_U => (exists Y1 : zenon_U, (exists Y2 : zenon_U, (forall Z1 : zenon_U, (forall Z2 : zenon_U, ((big_f X2 Z1)->((big_f Y1 Z2)->(((big_f Y1 Z1)/\(big_f Y2 Z1))\/((big_f X2 Z2)/\(big_f Y2 Z2)))))))))) zenon_H3); [ zenon_intro zenon_H4; idtac ].
% 0.20/0.52 elim zenon_H4. zenon_intro zenon_TX2_f. zenon_intro zenon_H6.
% 0.20/0.52 apply zenon_H6. exists zenon_TX2_f. apply NNPP. zenon_intro zenon_H7.
% 0.20/0.52 apply zenon_H7. exists zenon_TX2_f. apply NNPP. zenon_intro zenon_H8.
% 0.20/0.52 apply (zenon_notallex_s (fun Z1 : zenon_U => (forall Z2 : zenon_U, ((big_f zenon_TX2_f Z1)->((big_f zenon_TX2_f Z2)->(((big_f zenon_TX2_f Z1)/\(big_f zenon_TX2_f Z1))\/((big_f zenon_TX2_f Z2)/\(big_f zenon_TX2_f Z2))))))) zenon_H8); [ zenon_intro zenon_H9; idtac ].
% 0.20/0.52 elim zenon_H9. zenon_intro zenon_TZ1_k. zenon_intro zenon_Hb.
% 0.20/0.52 apply (zenon_notallex_s (fun Z2 : zenon_U => ((big_f zenon_TX2_f zenon_TZ1_k)->((big_f zenon_TX2_f Z2)->(((big_f zenon_TX2_f zenon_TZ1_k)/\(big_f zenon_TX2_f zenon_TZ1_k))\/((big_f zenon_TX2_f Z2)/\(big_f zenon_TX2_f Z2)))))) zenon_Hb); [ zenon_intro zenon_Hc; idtac ].
% 0.20/0.52 elim zenon_Hc. zenon_intro zenon_TZ2_n. zenon_intro zenon_He.
% 0.20/0.52 apply (zenon_notimply_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.20/0.52 apply (zenon_notimply_s _ _ zenon_Hf). zenon_intro zenon_H12. zenon_intro zenon_H11.
% 0.20/0.52 apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.20/0.52 apply (zenon_notand_s _ _ zenon_H14); [ zenon_intro zenon_H15 | zenon_intro zenon_H15 ].
% 0.20/0.52 exact (zenon_H15 zenon_H10).
% 0.20/0.52 exact (zenon_H15 zenon_H10).
% 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: 50
% 0.20/0.52 max branch formulas: 54
% 0.20/0.52 proof nodes created: 15
% 0.20/0.52 formulas created: 457
% 0.20/0.52
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