TSTP Solution File: PHI013+1 by Zenon---0.7.1

View Problem - Process Solution

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% File     : Zenon---0.7.1
% Problem  : PHI013+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n017.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 0.19s 0.55s
% 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
% 0.05/0.12  % Problem  : PHI013+1 : TPTP v8.1.0. Released v7.2.0.
% 0.05/0.12  % Command  : run_zenon %s %d
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  2 00:24:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.55  (* PROOF-FOUND *)
% 0.19/0.55  % SZS status Theorem
% 0.19/0.55  (* BEGIN-PROOF *)
% 0.19/0.55  % SZS output start Proof
% 0.19/0.55  Theorem god_exists : (exemplifies_property (existence) (god)).
% 0.19/0.55  Proof.
% 0.19/0.55  assert (zenon_L1_ : (~(object (god))) -> False).
% 0.19/0.55  do 0 intro. intros zenon_H9.
% 0.19/0.55  generalize (description_is_property_and_described_is_object (god)). zenon_intro zenon_Ha.
% 0.19/0.55  generalize (zenon_Ha (none_greater)). zenon_intro zenon_Hb.
% 0.19/0.55  apply (zenon_imply_s _ _ zenon_Hb); [ zenon_intro zenon_Hd | zenon_intro zenon_Hc ].
% 0.19/0.55  exact (zenon_Hd definition_god).
% 0.19/0.55  apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.19/0.55  exact (zenon_H9 zenon_He).
% 0.19/0.55  (* end of lemma zenon_L1_ *)
% 0.19/0.55  assert (zenon_L2_ : (forall Z : zenon_U, ((object Z)->((is_the Z (none_greater))->(exemplifies_property (none_greater) Z)))) -> (~(exemplifies_property (none_greater) (god))) -> False).
% 0.19/0.55  do 0 intro. intros zenon_H10 zenon_H11.
% 0.19/0.55  generalize (zenon_H10 (god)). zenon_intro zenon_H12.
% 0.19/0.55  apply (zenon_imply_s _ _ zenon_H12); [ zenon_intro zenon_H9 | zenon_intro zenon_H13 ].
% 0.19/0.55  apply (zenon_L1_); trivial.
% 0.19/0.55  apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_Hd | zenon_intro zenon_H14 ].
% 0.19/0.55  exact (zenon_Hd definition_god).
% 0.19/0.55  exact (zenon_H11 zenon_H14).
% 0.19/0.55  (* end of lemma zenon_L2_ *)
% 0.19/0.55  apply NNPP. intro zenon_G.
% 0.19/0.55  generalize (description_theorem_2 (none_greater)). zenon_intro zenon_H15.
% 0.19/0.55  apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ].
% 0.19/0.55  generalize (description_is_property_and_described_is_object (god)). zenon_intro zenon_Ha.
% 0.19/0.55  generalize (zenon_Ha (none_greater)). zenon_intro zenon_Hb.
% 0.19/0.55  apply (zenon_imply_s _ _ zenon_Hb); [ zenon_intro zenon_Hd | zenon_intro zenon_Hc ].
% 0.19/0.55  exact (zenon_Hd definition_god).
% 0.19/0.55  apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.19/0.55  exact (zenon_H17 zenon_Hf).
% 0.19/0.55  apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H10 ].
% 0.19/0.55  apply zenon_H18. exists (god). apply NNPP. zenon_intro zenon_H19.
% 0.19/0.55  apply (zenon_notand_s _ _ zenon_H19); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd ].
% 0.19/0.55  apply (zenon_L1_); trivial.
% 0.19/0.55  exact (zenon_Hd definition_god).
% 0.19/0.55  generalize (definition_none_greater (god)). zenon_intro zenon_H1a.
% 0.19/0.55  apply (zenon_imply_s _ _ zenon_H1a); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b ].
% 0.19/0.55  apply (zenon_L1_); trivial.
% 0.19/0.55  apply (zenon_equiv_s _ _ zenon_H1b); [ zenon_intro zenon_H11; zenon_intro zenon_H1d | zenon_intro zenon_H14; zenon_intro zenon_H1c ].
% 0.19/0.55  apply (zenon_L2_); trivial.
% 0.19/0.55  apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.19/0.55  generalize (premise_2 (god)). zenon_intro zenon_H20.
% 0.19/0.55  apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H9 | zenon_intro zenon_H21 ].
% 0.19/0.55  apply (zenon_L1_); trivial.
% 0.19/0.55  apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 0.19/0.55  apply (zenon_notand_s _ _ zenon_H23); [ zenon_intro zenon_Hd | zenon_intro zenon_H24 ].
% 0.19/0.55  exact (zenon_Hd definition_god).
% 0.19/0.55  exact (zenon_H24 zenon_G).
% 0.19/0.55  exact (zenon_H1e zenon_H22).
% 0.19/0.55  Qed.
% 0.19/0.55  % SZS output end Proof
% 0.19/0.55  (* END-PROOF *)
% 0.19/0.55  nodes searched: 1491
% 0.19/0.55  max branch formulas: 522
% 0.19/0.55  proof nodes created: 264
% 0.19/0.55  formulas created: 4162
% 0.19/0.55  
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