TSTP Solution File: PHI010+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : PHI010+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n027.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 : Mon Jul 18 16:50:14 EDT 2022
% Result : Theorem 118.09s 118.35s
% Output : Proof 118.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PHI010+1 : TPTP v8.1.0. Released v7.2.0.
% 0.07/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n027.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 : Thu Jun 2 01:11:49 EDT 2022
% 0.13/0.33 % CPUTime :
% 118.09/118.35 (* PROOF-FOUND *)
% 118.09/118.35 % SZS status Theorem
% 118.09/118.35 (* BEGIN-PROOF *)
% 118.09/118.35 % SZS output start Proof
% 118.09/118.35 Theorem lemma_1 : (forall X : zenon_U, (forall F : zenon_U, (forall Y : zenon_U, (((object X)/\((property F)/\(object Y)))->(((is_the X F)/\(X = Y))->(exemplifies_property F Y)))))).
% 118.09/118.35 Proof.
% 118.09/118.35 assert (zenon_L1_ : forall (zenon_TY_j : zenon_U) (zenon_TF_k : zenon_U) (zenon_TX_l : zenon_U), (((is_the zenon_TX_l zenon_TF_k)/\(zenon_TX_l = zenon_TY_j))<->(exists Y : zenon_U, ((object Y)/\((exemplifies_property zenon_TF_k Y)/\((forall Z : zenon_U, ((object Z)->((exemplifies_property zenon_TF_k Z)->(Z = Y))))/\(Y = zenon_TY_j)))))) -> (~(exists Y : zenon_U, ((object Y)/\((exemplifies_property zenon_TF_k Y)/\((forall Z : zenon_U, ((object Z)->((exemplifies_property zenon_TF_k Z)->(Z = Y))))/\(Y = zenon_TY_j)))))) -> (is_the zenon_TX_l zenon_TF_k) -> (zenon_TX_l = zenon_TY_j) -> False).
% 118.09/118.35 do 3 intro. intros zenon_H5 zenon_H6 zenon_H7 zenon_H8.
% 118.09/118.35 apply (zenon_equiv_s _ _ zenon_H5); [ zenon_intro zenon_He; zenon_intro zenon_H6 | zenon_intro zenon_Hd; zenon_intro zenon_Hc ].
% 118.09/118.35 apply (zenon_notand_s _ _ zenon_He); [ zenon_intro zenon_H10 | zenon_intro zenon_Hf ].
% 118.09/118.35 exact (zenon_H10 zenon_H7).
% 118.09/118.35 exact (zenon_Hf zenon_H8).
% 118.09/118.35 exact (zenon_H6 zenon_Hc).
% 118.09/118.35 (* end of lemma zenon_L1_ *)
% 118.09/118.35 assert (zenon_L2_ : forall (zenon_TY_j : zenon_U) (zenon_TF_k : zenon_U), (exists Y : zenon_U, ((object Y)/\((exemplifies_property zenon_TF_k Y)/\((forall Z : zenon_U, ((object Z)->((exemplifies_property zenon_TF_k Z)->(Z = Y))))/\(Y = zenon_TY_j))))) -> (~(exemplifies_property zenon_TF_k zenon_TY_j)) -> False).
% 118.09/118.35 do 2 intro. intros zenon_Hc zenon_H11.
% 118.09/118.35 elim zenon_Hc. zenon_intro zenon_TY_s. zenon_intro zenon_H13.
% 118.09/118.35 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 118.09/118.35 apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 118.09/118.35 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18.
% 118.09/118.35 cut ((exemplifies_property zenon_TF_k zenon_TY_s) = (exemplifies_property zenon_TF_k zenon_TY_j)).
% 118.09/118.35 intro zenon_D_pnotp.
% 118.09/118.35 apply zenon_H11.
% 118.09/118.35 rewrite <- zenon_D_pnotp.
% 118.09/118.35 exact zenon_H17.
% 118.09/118.35 cut ((zenon_TY_s = zenon_TY_j)); [idtac | apply NNPP; zenon_intro zenon_H1a].
% 118.09/118.35 cut ((zenon_TF_k = zenon_TF_k)); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 118.09/118.35 congruence.
% 118.09/118.35 apply zenon_H1b. apply refl_equal.
% 118.09/118.35 exact (zenon_H1a zenon_H18).
% 118.09/118.35 (* end of lemma zenon_L2_ *)
% 118.09/118.35 apply NNPP. intro zenon_G.
% 118.09/118.35 apply (zenon_notallex_s (fun X : zenon_U => (forall F : zenon_U, (forall Y : zenon_U, (((object X)/\((property F)/\(object Y)))->(((is_the X F)/\(X = Y))->(exemplifies_property F Y)))))) zenon_G); [ zenon_intro zenon_H1c; idtac ].
% 118.09/118.35 elim zenon_H1c. zenon_intro zenon_TX_l. zenon_intro zenon_H1d.
% 118.09/118.35 apply (zenon_notallex_s (fun F : zenon_U => (forall Y : zenon_U, (((object zenon_TX_l)/\((property F)/\(object Y)))->(((is_the zenon_TX_l F)/\(zenon_TX_l = Y))->(exemplifies_property F Y))))) zenon_H1d); [ zenon_intro zenon_H1e; idtac ].
% 118.09/118.35 elim zenon_H1e. zenon_intro zenon_TF_k. zenon_intro zenon_H1f.
% 118.09/118.35 apply (zenon_notallex_s (fun Y : zenon_U => (((object zenon_TX_l)/\((property zenon_TF_k)/\(object Y)))->(((is_the zenon_TX_l zenon_TF_k)/\(zenon_TX_l = Y))->(exemplifies_property zenon_TF_k Y)))) zenon_H1f); [ zenon_intro zenon_H20; idtac ].
% 118.09/118.35 elim zenon_H20. zenon_intro zenon_TY_j. zenon_intro zenon_H21.
% 118.09/118.35 apply (zenon_notimply_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 118.09/118.35 apply (zenon_notimply_s _ _ zenon_H22). zenon_intro zenon_Hd. zenon_intro zenon_H11.
% 118.09/118.35 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H7. zenon_intro zenon_H8.
% 118.09/118.35 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 118.09/118.35 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26.
% 118.09/118.35 generalize (description_axiom_identity_instance zenon_TF_k). zenon_intro zenon_H28.
% 118.09/118.35 generalize (zenon_H28 zenon_TX_l). zenon_intro zenon_H29.
% 118.09/118.35 generalize (zenon_H29 zenon_TY_j). zenon_intro zenon_H2a.
% 118.09/118.35 apply (zenon_imply_s _ _ zenon_H2a); [ zenon_intro zenon_H2b | zenon_intro zenon_H5 ].
% 118.09/118.35 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ].
% 118.09/118.35 exact (zenon_H2d zenon_H27).
% 118.09/118.35 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_H2f | zenon_intro zenon_H2e ].
% 118.09/118.35 exact (zenon_H2f zenon_H25).
% 118.09/118.35 exact (zenon_H2e zenon_H26).
% 118.09/118.35 apply (zenon_equiv_s _ _ zenon_H5); [ zenon_intro zenon_He; zenon_intro zenon_H6 | zenon_intro zenon_Hd; zenon_intro zenon_Hc ].
% 118.09/118.35 apply (zenon_L1_ zenon_TY_j zenon_TF_k zenon_TX_l); trivial.
% 118.09/118.35 apply (zenon_L2_ zenon_TY_j zenon_TF_k); trivial.
% 118.09/118.35 Qed.
% 118.09/118.35 % SZS output end Proof
% 118.09/118.35 (* END-PROOF *)
% 118.09/118.35 nodes searched: 4457176
% 118.09/118.35 max branch formulas: 17821
% 118.09/118.35 proof nodes created: 167757
% 118.09/118.35 formulas created: 6699893
% 118.09/118.35
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