TSTP Solution File: SYN941+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN941+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n025.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 13:56:35 EDT 2022
% Result : Theorem 0.19s 0.50s
% 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
% 0.03/0.12 % Problem : SYN941+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 06:05:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 (* PROOF-FOUND *)
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 (* BEGIN-PROOF *)
% 0.19/0.50 % SZS output start Proof
% 0.19/0.50 Theorem prove_this : (forall B : zenon_U, (forall C : zenon_U, ((q (f B))->(exists X : zenon_U, (exists Y : zenon_U, (((p (f Y))->((p X)/\((r Y)->((r B)/\(r C)))))/\(q X))))))).
% 0.19/0.50 Proof.
% 0.19/0.50 assert (zenon_L1_ : forall (zenon_TC_f : zenon_U) (zenon_TB_g : zenon_U), (~(exists Y : zenon_U, (((p (f Y))->((p (f zenon_TB_g))/\((r Y)->((r zenon_TB_g)/\(r zenon_TC_f)))))/\(q (f zenon_TB_g))))) -> (~(p (f zenon_TB_g))) -> (q (f zenon_TB_g)) -> False).
% 0.19/0.50 do 2 intro. intros zenon_H2 zenon_H3 zenon_H4.
% 0.19/0.50 apply zenon_H2. exists zenon_TB_g. apply NNPP. zenon_intro zenon_H7.
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ].
% 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.19/0.50 exact (zenon_H3 zenon_Hb).
% 0.19/0.50 exact (zenon_H8 zenon_H4).
% 0.19/0.50 (* end of lemma zenon_L1_ *)
% 0.19/0.50 apply NNPP. intro zenon_G.
% 0.19/0.50 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, ((q (f B))->(exists X : zenon_U, (exists Y : zenon_U, (((p (f Y))->((p X)/\((r Y)->((r B)/\(r C)))))/\(q X))))))) zenon_G); [ zenon_intro zenon_Hc; idtac ].
% 0.19/0.50 elim zenon_Hc. zenon_intro zenon_TB_g. zenon_intro zenon_Hd.
% 0.19/0.50 apply (zenon_notallex_s (fun C : zenon_U => ((q (f zenon_TB_g))->(exists X : zenon_U, (exists Y : zenon_U, (((p (f Y))->((p X)/\((r Y)->((r zenon_TB_g)/\(r C)))))/\(q X)))))) zenon_Hd); [ zenon_intro zenon_He; idtac ].
% 0.19/0.50 elim zenon_He. zenon_intro zenon_TC_f. zenon_intro zenon_Hf.
% 0.19/0.50 apply (zenon_notimply_s _ _ zenon_Hf). zenon_intro zenon_H4. zenon_intro zenon_H10.
% 0.19/0.50 apply zenon_H10. exists (f zenon_TB_g). apply NNPP. zenon_intro zenon_H2.
% 0.19/0.50 apply zenon_H2. exists zenon_E. apply NNPP. zenon_intro zenon_H11.
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_H11); [ zenon_intro zenon_H12 | zenon_intro zenon_H8 ].
% 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_H13); [ zenon_intro zenon_H3 | zenon_intro zenon_H15 ].
% 0.19/0.50 apply (zenon_L1_ zenon_TC_f zenon_TB_g); trivial.
% 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_H16); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ].
% 0.19/0.50 apply zenon_H2. exists zenon_TB_g. apply NNPP. zenon_intro zenon_H7.
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ].
% 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_Ha); [ zenon_intro zenon_H3 | zenon_intro zenon_H1a ].
% 0.19/0.50 exact (zenon_H3 zenon_Hb).
% 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H1a). zenon_intro zenon_H1b. zenon_intro zenon_H16.
% 0.19/0.50 exact (zenon_H19 zenon_H1b).
% 0.19/0.50 exact (zenon_H8 zenon_H4).
% 0.19/0.50 apply zenon_H2. exists zenon_TC_f. apply NNPP. zenon_intro zenon_H1c.
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_H1c); [ zenon_intro zenon_H1d | zenon_intro zenon_H8 ].
% 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_H1e); [ zenon_intro zenon_H3 | zenon_intro zenon_H20 ].
% 0.19/0.50 apply (zenon_L1_ zenon_TC_f zenon_TB_g); trivial.
% 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H20). zenon_intro zenon_H21. zenon_intro zenon_H16.
% 0.19/0.50 exact (zenon_H18 zenon_H21).
% 0.19/0.50 exact (zenon_H8 zenon_H4).
% 0.19/0.50 exact (zenon_H8 zenon_H4).
% 0.19/0.50 Qed.
% 0.19/0.50 % SZS output end Proof
% 0.19/0.50 (* END-PROOF *)
% 0.19/0.50 nodes searched: 43
% 0.19/0.50 max branch formulas: 34
% 0.19/0.50 proof nodes created: 31
% 0.19/0.50 formulas created: 238
% 0.19/0.50
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