TSTP Solution File: CSR256+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : CSR256+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n021.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 00:03:58 EDT 2022

% Result   : Theorem 8.47s 8.67s
% Output   : Proof 8.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR256+1 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.12  % Command  : run_zenon %s %d
% 0.12/0.34  % Computer : n021.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 : Sat Jun 11 05:01:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 8.47/8.67  (* PROOF-FOUND *)
% 8.47/8.67  % SZS status Theorem
% 8.47/8.67  (* BEGIN-PROOF *)
% 8.47/8.67  % SZS output start Proof
% 8.47/8.67  Theorem subclassEvent0321 : (p__d__subclass (c__Funding) (c__SocialInteraction)).
% 8.47/8.67  Proof.
% 8.47/8.67  assert (zenon_L1_ : (~((c__ChangeOfPossession) = (c__ChangeOfPossession))) -> False).
% 8.47/8.67  do 0 intro. intros zenon_H1d07.
% 8.47/8.67  apply zenon_H1d07. apply refl_equal.
% 8.47/8.67  (* end of lemma zenon_L1_ *)
% 8.47/8.67  apply NNPP. intro zenon_G.
% 8.47/8.67  elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((p__d__subclass x y)->((p__d__subclass y z)->(p__d__subclass x z))))))); [ zenon_intro zenon_H1d08 | zenon_intro zenon_H1d09 ].
% 8.47/8.67  elim (classic ((~((c__Funding) = (c__ChangeOfPossession)))/\(~(p__d__subclass (c__Funding) (c__ChangeOfPossession))))); [ zenon_intro zenon_H1d0a | zenon_intro zenon_H1d0b ].
% 8.47/8.67  apply (zenon_and_s _ _ zenon_H1d0a). zenon_intro zenon_H1d0d. zenon_intro zenon_H1d0c.
% 8.47/8.67  elim (classic ((~((c__Funding) = (c__Giving)))/\(~(p__d__subclass (c__Funding) (c__Giving))))); [ zenon_intro zenon_H1d0e | zenon_intro zenon_H1d0f ].
% 8.47/8.67  apply (zenon_and_s _ _ zenon_H1d0e). zenon_intro zenon_H1d11. zenon_intro zenon_H1d10.
% 8.47/8.67  exact (zenon_H1d10 mergeA2526).
% 8.47/8.67  cut ((p__d__subclass (c__Giving) (c__ChangeOfPossession)) = (p__d__subclass (c__Funding) (c__ChangeOfPossession))).
% 8.47/8.67  intro zenon_D_pnotp.
% 8.47/8.67  apply zenon_H1d0c.
% 8.47/8.67  rewrite <- zenon_D_pnotp.
% 8.47/8.67  exact mergeA2523.
% 8.47/8.67  cut (((c__ChangeOfPossession) = (c__ChangeOfPossession))); [idtac | apply NNPP; zenon_intro zenon_H1d07].
% 8.47/8.67  cut (((c__Giving) = (c__Funding))); [idtac | apply NNPP; zenon_intro zenon_H1d12].
% 8.47/8.67  congruence.
% 8.47/8.67  apply (zenon_notand_s _ _ zenon_H1d0f); [ zenon_intro zenon_H1d14 | zenon_intro zenon_H1d13 ].
% 8.47/8.67  apply zenon_H1d14. zenon_intro zenon_H1d15.
% 8.47/8.67  elim (classic ((c__Funding) = (c__Funding))); [ zenon_intro zenon_H1d16 | zenon_intro zenon_H1d17 ].
% 8.47/8.67  cut (((c__Funding) = (c__Funding)) = ((c__Giving) = (c__Funding))).
% 8.47/8.67  intro zenon_D_pnotp.
% 8.47/8.67  apply zenon_H1d12.
% 8.47/8.67  rewrite <- zenon_D_pnotp.
% 8.47/8.67  exact zenon_H1d16.
% 8.47/8.67  cut (((c__Funding) = (c__Funding))); [idtac | apply NNPP; zenon_intro zenon_H1d17].
% 8.47/8.67  cut (((c__Funding) = (c__Giving))); [idtac | apply NNPP; zenon_intro zenon_H1d11].
% 8.47/8.67  congruence.
% 8.47/8.67  exact (zenon_H1d11 zenon_H1d15).
% 8.47/8.67  apply zenon_H1d17. apply refl_equal.
% 8.47/8.67  apply zenon_H1d17. apply refl_equal.
% 8.47/8.67  apply zenon_H1d13. zenon_intro mergeA2526.
% 8.47/8.67  generalize (zenon_H1d08 (c__Funding)). zenon_intro zenon_H1d18.
% 8.47/8.67  generalize (zenon_H1d18 (c__Giving)). zenon_intro zenon_H1d19.
% 8.47/8.67  generalize (zenon_H1d19 (c__ChangeOfPossession)). zenon_intro zenon_H1d1a.
% 8.47/8.67  apply (zenon_imply_s _ _ zenon_H1d1a); [ zenon_intro zenon_H1d10 | zenon_intro zenon_H1d1b ].
% 8.47/8.67  exact (zenon_H1d10 mergeA2526).
% 8.47/8.67  apply (zenon_imply_s _ _ zenon_H1d1b); [ zenon_intro zenon_H1d1d | zenon_intro zenon_H1d1c ].
% 8.47/8.67  exact (zenon_H1d1d mergeA2523).
% 8.47/8.67  exact (zenon_H1d0c zenon_H1d1c).
% 8.47/8.67  apply zenon_H1d07. apply refl_equal.
% 8.47/8.67  cut ((p__d__subclass (c__ChangeOfPossession) (c__SocialInteraction)) = (p__d__subclass (c__Funding) (c__SocialInteraction))).
% 8.47/8.67  intro zenon_D_pnotp.
% 8.47/8.67  apply zenon_G.
% 8.47/8.67  rewrite <- zenon_D_pnotp.
% 8.47/8.67  exact mergeA2519.
% 8.47/8.67  cut (((c__SocialInteraction) = (c__SocialInteraction))); [idtac | apply NNPP; zenon_intro zenon_H1d1e].
% 8.47/8.67  cut (((c__ChangeOfPossession) = (c__Funding))); [idtac | apply NNPP; zenon_intro zenon_H1d1f].
% 8.47/8.67  congruence.
% 8.47/8.67  apply (zenon_notand_s _ _ zenon_H1d0b); [ zenon_intro zenon_H1d21 | zenon_intro zenon_H1d20 ].
% 8.47/8.67  apply zenon_H1d21. zenon_intro zenon_H1d22.
% 8.47/8.67  elim (classic ((c__Funding) = (c__Funding))); [ zenon_intro zenon_H1d16 | zenon_intro zenon_H1d17 ].
% 8.47/8.67  cut (((c__Funding) = (c__Funding)) = ((c__ChangeOfPossession) = (c__Funding))).
% 8.47/8.67  intro zenon_D_pnotp.
% 8.47/8.67  apply zenon_H1d1f.
% 8.47/8.67  rewrite <- zenon_D_pnotp.
% 8.47/8.67  exact zenon_H1d16.
% 8.47/8.67  cut (((c__Funding) = (c__Funding))); [idtac | apply NNPP; zenon_intro zenon_H1d17].
% 8.47/8.67  cut (((c__Funding) = (c__ChangeOfPossession))); [idtac | apply NNPP; zenon_intro zenon_H1d0d].
% 8.47/8.67  congruence.
% 8.47/8.67  exact (zenon_H1d0d zenon_H1d22).
% 8.47/8.67  apply zenon_H1d17. apply refl_equal.
% 8.47/8.67  apply zenon_H1d17. apply refl_equal.
% 8.47/8.67  apply zenon_H1d20. zenon_intro zenon_H1d1c.
% 8.47/8.67  generalize (zenon_H1d08 (c__Funding)). zenon_intro zenon_H1d18.
% 8.47/8.67  generalize (zenon_H1d18 (c__ChangeOfPossession)). zenon_intro zenon_H1d23.
% 8.47/8.67  generalize (zenon_H1d23 (c__SocialInteraction)). zenon_intro zenon_H1d24.
% 8.47/8.69  apply (zenon_imply_s _ _ zenon_H1d24); [ zenon_intro zenon_H1d0c | zenon_intro zenon_H1d25 ].
% 8.47/8.69  exact (zenon_H1d0c zenon_H1d1c).
% 8.47/8.69  apply (zenon_imply_s _ _ zenon_H1d25); [ zenon_intro zenon_H1d27 | zenon_intro zenon_H1d26 ].
% 8.47/8.69  exact (zenon_H1d27 mergeA2519).
% 8.47/8.69  exact (zenon_G zenon_H1d26).
% 8.47/8.69  apply zenon_H1d1e. apply refl_equal.
% 8.47/8.69  apply zenon_H1d09. zenon_intro zenon_Tx_lbc. apply NNPP. zenon_intro zenon_H1d29.
% 8.47/8.69  apply zenon_H1d29. zenon_intro zenon_Ty_lbe. apply NNPP. zenon_intro zenon_H1d2b.
% 8.47/8.69  apply zenon_H1d2b. zenon_intro zenon_Tz_lbg. apply NNPP. zenon_intro zenon_H1d2d.
% 8.47/8.69  apply (zenon_notimply_s _ _ zenon_H1d2d). zenon_intro zenon_H1d2f. zenon_intro zenon_H1d2e.
% 8.47/8.69  apply (zenon_notimply_s _ _ zenon_H1d2e). zenon_intro zenon_H1d31. zenon_intro zenon_H1d30.
% 8.47/8.69  generalize (predefinitionsA8 zenon_Tx_lbc). zenon_intro zenon_H1d32.
% 8.47/8.69  generalize (zenon_H1d32 zenon_Ty_lbe). zenon_intro zenon_H1d33.
% 8.47/8.69  generalize (zenon_H1d33 zenon_Tz_lbg). zenon_intro zenon_H1d34.
% 8.47/8.69  apply (zenon_imply_s _ _ zenon_H1d34); [ zenon_intro zenon_H1d36 | zenon_intro zenon_H1d35 ].
% 8.47/8.69  apply (zenon_notand_s _ _ zenon_H1d36); [ zenon_intro zenon_H1d38 | zenon_intro zenon_H1d37 ].
% 8.47/8.69  exact (zenon_H1d38 zenon_H1d2f).
% 8.47/8.69  exact (zenon_H1d37 zenon_H1d31).
% 8.47/8.69  exact (zenon_H1d30 zenon_H1d35).
% 8.47/8.69  Qed.
% 8.47/8.69  % SZS output end Proof
% 8.47/8.69  (* END-PROOF *)
% 8.47/8.69  nodes searched: 215765
% 8.47/8.69  max branch formulas: 56581
% 8.47/8.69  proof nodes created: 86
% 8.47/8.69  formulas created: 2706427
% 8.47/8.69  
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