TSTP Solution File: PHI014+1 by Zenon---0.7.1

View Problem - Process Solution

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% File     : Zenon---0.7.1
% Problem  : PHI014+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n032.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 0.15s 0.42s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : PHI014+1 : TPTP v8.1.0. Released v7.2.0.
% 0.08/0.11  % Command  : run_zenon %s %d
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Thu Jun  2 01:16:30 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 0.15/0.42  (* PROOF-FOUND *)
% 0.15/0.42  % SZS status Theorem
% 0.15/0.42  (* BEGIN-PROOF *)
% 0.15/0.42  % SZS output start Proof
% 0.15/0.42  Theorem god_exists : (exemplifies_property (existence) (god)).
% 0.15/0.42  Proof.
% 0.15/0.42  assert (zenon_L1_ : (~(object (god))) -> False).
% 0.15/0.42  do 0 intro. intros zenon_H6.
% 0.15/0.42  generalize (description_is_property_and_described_is_object (god)). zenon_intro zenon_H7.
% 0.15/0.42  generalize (zenon_H7 (none_greater)). zenon_intro zenon_H8.
% 0.15/0.42  apply (zenon_imply_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ].
% 0.15/0.42  exact (zenon_Ha definition_god).
% 0.15/0.42  apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hc. zenon_intro zenon_Hb.
% 0.15/0.42  exact (zenon_H6 zenon_Hb).
% 0.15/0.42  (* end of lemma zenon_L1_ *)
% 0.15/0.42  assert (zenon_L2_ : (object (god)) -> (~(exemplifies_property (existence) (god))) -> (exemplifies_property (none_greater) (god)) -> False).
% 0.15/0.42  do 0 intro. intros zenon_Hb zenon_G zenon_Hd.
% 0.15/0.42  generalize (definition_none_greater (god)). zenon_intro zenon_He.
% 0.15/0.42  apply (zenon_imply_s _ _ zenon_He); [ zenon_intro zenon_H6 | zenon_intro zenon_Hf ].
% 0.15/0.42  exact (zenon_H6 zenon_Hb).
% 0.15/0.42  apply (zenon_equiv_s _ _ zenon_Hf); [ zenon_intro zenon_H12; zenon_intro zenon_H11 | zenon_intro zenon_Hd; zenon_intro zenon_H10 ].
% 0.15/0.42  exact (zenon_H12 zenon_Hd).
% 0.15/0.42  apply (zenon_and_s _ _ zenon_H10). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.15/0.42  generalize (premise_2 (god)). zenon_intro zenon_H15.
% 0.15/0.42  apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_H6 | zenon_intro zenon_H16 ].
% 0.15/0.42  exact (zenon_H6 zenon_Hb).
% 0.15/0.42  apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 0.15/0.42  apply (zenon_notand_s _ _ zenon_H18); [ zenon_intro zenon_Ha | zenon_intro zenon_H19 ].
% 0.15/0.42  exact (zenon_Ha definition_god).
% 0.15/0.42  exact (zenon_H19 zenon_G).
% 0.15/0.42  exact (zenon_H13 zenon_H17).
% 0.15/0.42  (* end of lemma zenon_L2_ *)
% 0.15/0.42  apply NNPP. intro zenon_G.
% 0.15/0.42  generalize (description_theorem_2 (none_greater)). zenon_intro zenon_H1a.
% 0.15/0.42  apply (zenon_imply_s _ _ zenon_H1a); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ].
% 0.15/0.42  generalize (description_is_property_and_described_is_object (god)). zenon_intro zenon_H7.
% 0.15/0.42  generalize (zenon_H7 (none_greater)). zenon_intro zenon_H8.
% 0.15/0.42  apply (zenon_imply_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ].
% 0.15/0.42  exact (zenon_Ha definition_god).
% 0.15/0.42  apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hc. zenon_intro zenon_Hb.
% 0.15/0.42  exact (zenon_H1c zenon_Hc).
% 0.15/0.42  apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ].
% 0.15/0.42  apply zenon_H1e. exists (god). apply NNPP. zenon_intro zenon_H1f.
% 0.15/0.42  apply (zenon_notand_s _ _ zenon_H1f); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.15/0.42  apply (zenon_L1_); trivial.
% 0.15/0.42  exact (zenon_Ha definition_god).
% 0.15/0.42  generalize (zenon_H1d (god)). zenon_intro zenon_H20.
% 0.15/0.42  apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H6 | zenon_intro zenon_H21 ].
% 0.15/0.42  apply (zenon_L1_); trivial.
% 0.15/0.42  apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_Ha | zenon_intro zenon_Hd ].
% 0.15/0.42  exact (zenon_Ha definition_god).
% 0.15/0.42  generalize (description_is_property_and_described_is_object (god)). zenon_intro zenon_H7.
% 0.15/0.42  generalize (zenon_H7 (none_greater)). zenon_intro zenon_H8.
% 0.15/0.42  apply (zenon_imply_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ].
% 0.15/0.42  exact (zenon_Ha definition_god).
% 0.15/0.42  apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hc. zenon_intro zenon_Hb.
% 0.15/0.42  apply (zenon_L2_); trivial.
% 0.15/0.42  Qed.
% 0.15/0.42  % SZS output end Proof
% 0.15/0.42  (* END-PROOF *)
% 0.15/0.42  nodes searched: 169
% 0.15/0.42  max branch formulas: 111
% 0.15/0.42  proof nodes created: 60
% 0.15/0.42  formulas created: 718
% 0.15/0.42  
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