TSTP Solution File: CSR147+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : CSR147+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n026.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 : Sat Jul 16 00:03:41 EDT 2022

% Result   : Theorem 0.88s 1.04s
% Output   : Proof 0.88s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : CSR147+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.11  % Command  : run_zenon %s %d
% 0.11/0.31  % Computer : n026.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Fri Jun 10 07:13:03 EDT 2022
% 0.17/0.31  % CPUTime  : 
% 0.88/1.04  (* PROOF-FOUND *)
% 0.88/1.04  % SZS status Theorem
% 0.88/1.04  (* BEGIN-PROOF *)
% 0.88/1.04  % SZS output start Proof
% 0.88/1.04  Theorem jim_is_experienced : (s__more_experienced (jim) (geoff)).
% 0.88/1.04  Proof.
% 0.88/1.04  assert (zenon_L1_ : (~((n48) = (n48))) -> False).
% 0.88/1.04  do 0 intro. intros zenon_He.
% 0.88/1.04  apply zenon_He. apply refl_equal.
% 0.88/1.04  (* end of lemma zenon_L1_ *)
% 0.88/1.04  assert (zenon_L2_ : (~((jim) = (jim))) -> False).
% 0.88/1.04  do 0 intro. intros zenon_Hf.
% 0.88/1.04  apply zenon_Hf. apply refl_equal.
% 0.88/1.04  (* end of lemma zenon_L2_ *)
% 0.88/1.04  assert (zenon_L3_ : (~((s__siblingFn (jim)) = (geoff))) -> False).
% 0.88/1.04  do 0 intro. intros zenon_H10.
% 0.88/1.04  apply (zenon_congruence_lr_s _ (fun zenon_Vh : _ => (~((s__siblingFn (jim)) = zenon_Vh))) _ _ zenon_H10 geoff_and_jim). zenon_intro zenon_H11.
% 0.88/1.04  apply zenon_H11. apply refl_equal.
% 0.88/1.04  (* end of lemma zenon_L3_ *)
% 0.88/1.04  assert (zenon_L4_ : (s__has_seen_more (s__siblingFn (jim)) (jim)) -> False).
% 0.88/1.04  do 0 intro. intros zenon_H12.
% 0.88/1.04  cut ((s__has_seen_more (s__siblingFn (jim)) (jim)) = (s__has_seen_more (geoff) (jim))).
% 0.88/1.04  intro zenon_D_pnotp.
% 0.88/1.04  apply jim_has_seen_more.
% 0.88/1.04  rewrite <- zenon_D_pnotp.
% 0.88/1.04  exact zenon_H12.
% 0.88/1.04  cut (((jim) = (jim))); [idtac | apply NNPP; zenon_intro zenon_Hf].
% 0.88/1.04  cut (((s__siblingFn (jim)) = (geoff))); [idtac | apply NNPP; zenon_intro zenon_H10].
% 0.88/1.04  congruence.
% 0.88/1.04  apply (zenon_L3_); trivial.
% 0.88/1.04  apply zenon_Hf. apply refl_equal.
% 0.88/1.04  (* end of lemma zenon_L4_ *)
% 0.88/1.04  apply NNPP. intro zenon_G.
% 0.88/1.04  generalize (experience (jim)). zenon_intro zenon_H13.
% 0.88/1.04  generalize (zenon_H13 (n54)). zenon_intro zenon_H14.
% 0.88/1.04  generalize (zenon_H14 (n48)). zenon_intro zenon_H15.
% 0.88/1.04  apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ].
% 0.88/1.04  exact (zenon_H17 jim_human).
% 0.88/1.04  apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ].
% 0.88/1.04  apply (zenon_notand_s _ _ zenon_H19); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ].
% 0.88/1.04  exact (zenon_H1b jim_54).
% 0.88/1.04  apply (zenon_notand_s _ _ zenon_H1a); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ].
% 0.88/1.04  cut ((s__age (geoff) (n48)) = (s__age (s__siblingFn (jim)) (n48))).
% 0.88/1.04  intro zenon_D_pnotp.
% 0.88/1.04  apply zenon_H1d.
% 0.88/1.04  rewrite <- zenon_D_pnotp.
% 0.88/1.04  exact geoff_48.
% 0.88/1.04  cut (((n48) = (n48))); [idtac | apply NNPP; zenon_intro zenon_He].
% 0.88/1.04  cut (((geoff) = (s__siblingFn (jim)))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 0.88/1.04  congruence.
% 0.88/1.04  exact (zenon_H1e geoff_and_jim).
% 0.88/1.04  apply zenon_He. apply refl_equal.
% 0.88/1.04  exact (zenon_H1c greater_54_48).
% 0.88/1.04  apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1f | zenon_intro zenon_H12 ].
% 0.88/1.04  cut ((s__more_experienced (jim) (s__siblingFn (jim))) = (s__more_experienced (jim) (geoff))).
% 0.88/1.04  intro zenon_D_pnotp.
% 0.88/1.04  apply zenon_G.
% 0.88/1.04  rewrite <- zenon_D_pnotp.
% 0.88/1.04  exact zenon_H1f.
% 0.88/1.04  cut (((s__siblingFn (jim)) = (geoff))); [idtac | apply NNPP; zenon_intro zenon_H10].
% 0.88/1.04  cut (((jim) = (jim))); [idtac | apply NNPP; zenon_intro zenon_Hf].
% 0.88/1.04  congruence.
% 0.88/1.04  apply zenon_Hf. apply refl_equal.
% 0.88/1.04  apply (zenon_L3_); trivial.
% 0.88/1.04  apply (zenon_L4_); trivial.
% 0.88/1.04  Qed.
% 0.88/1.04  % SZS output end Proof
% 0.88/1.04  (* END-PROOF *)
% 0.88/1.04  nodes searched: 8160
% 0.88/1.04  max branch formulas: 703
% 0.88/1.04  proof nodes created: 28
% 0.88/1.04  formulas created: 6167
% 0.88/1.04  
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