TSTP Solution File: PUZ001+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Mon Jul 18 18:33:35 EDT 2022
% Result : Theorem 0.39s 0.59s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n026.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 May 28 22:32:54 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.39/0.59 (* PROOF-FOUND *)
% 0.39/0.59 % SZS status Theorem
% 0.39/0.59 (* BEGIN-PROOF *)
% 0.39/0.59 % SZS output start Proof
% 0.39/0.59 Theorem pel55 : (killed (agatha) (agatha)).
% 0.39/0.59 Proof.
% 0.39/0.59 assert (zenon_L1_ : (~((agatha) = (agatha))) -> False).
% 0.39/0.59 do 0 intro. intros zenon_He.
% 0.39/0.59 apply zenon_He. apply refl_equal.
% 0.39/0.59 (* end of lemma zenon_L1_ *)
% 0.39/0.59 assert (zenon_L2_ : forall (zenon_TX_r : zenon_U), (~(killed (agatha) (agatha))) -> (killed zenon_TX_r (agatha)) -> (zenon_TX_r = (agatha)) -> False).
% 0.39/0.59 do 1 intro. intros zenon_G zenon_Hf zenon_H10.
% 0.39/0.59 cut ((killed zenon_TX_r (agatha)) = (killed (agatha) (agatha))).
% 0.39/0.59 intro zenon_D_pnotp.
% 0.39/0.59 apply zenon_G.
% 0.39/0.59 rewrite <- zenon_D_pnotp.
% 0.39/0.59 exact zenon_Hf.
% 0.39/0.59 cut (((agatha) = (agatha))); [idtac | apply NNPP; zenon_intro zenon_He].
% 0.39/0.59 cut ((zenon_TX_r = (agatha))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 0.39/0.59 congruence.
% 0.39/0.59 exact (zenon_H12 zenon_H10).
% 0.39/0.59 apply zenon_He. apply refl_equal.
% 0.39/0.59 (* end of lemma zenon_L2_ *)
% 0.39/0.59 assert (zenon_L3_ : forall (zenon_TY_w : zenon_U) (zenon_TX_r : zenon_U), (~(zenon_TX_r = zenon_TY_w)) -> (zenon_TX_r = (butler)) -> (zenon_TY_w = (butler)) -> False).
% 0.39/0.59 do 2 intro. intros zenon_H13 zenon_H14 zenon_H15.
% 0.39/0.59 cut ((zenon_TX_r = (butler)) = (zenon_TX_r = zenon_TY_w)).
% 0.39/0.59 intro zenon_D_pnotp.
% 0.39/0.59 apply zenon_H13.
% 0.39/0.59 rewrite <- zenon_D_pnotp.
% 0.39/0.59 exact zenon_H14.
% 0.39/0.59 cut (((butler) = zenon_TY_w)); [idtac | apply NNPP; zenon_intro zenon_H17].
% 0.39/0.59 cut ((zenon_TX_r = zenon_TX_r)); [idtac | apply NNPP; zenon_intro zenon_H18].
% 0.39/0.59 congruence.
% 0.39/0.59 apply zenon_H18. apply refl_equal.
% 0.39/0.59 apply zenon_H17. apply sym_equal. exact zenon_H15.
% 0.39/0.59 (* end of lemma zenon_L3_ *)
% 0.39/0.59 assert (zenon_L4_ : (~((butler) = (butler))) -> False).
% 0.39/0.59 do 0 intro. intros zenon_H19.
% 0.39/0.59 apply zenon_H19. apply refl_equal.
% 0.39/0.59 (* end of lemma zenon_L4_ *)
% 0.39/0.59 assert (zenon_L5_ : forall (zenon_TX_r : zenon_U), (zenon_TX_r = (charles)) -> (killed zenon_TX_r (agatha)) -> False).
% 0.39/0.59 do 1 intro. intros zenon_H1a zenon_Hf.
% 0.39/0.59 generalize (pel55_7 (agatha)). zenon_intro zenon_H1b.
% 0.39/0.59 apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ].
% 0.39/0.59 exact (zenon_H1d pel55_11).
% 0.39/0.59 generalize (pel55_6 (agatha)). zenon_intro zenon_H1e.
% 0.39/0.59 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ].
% 0.39/0.59 exact (zenon_H20 zenon_H1c).
% 0.39/0.59 generalize (pel55_4 zenon_TX_r). zenon_intro zenon_H21.
% 0.39/0.59 generalize (zenon_H21 (agatha)). zenon_intro zenon_H22.
% 0.39/0.59 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 0.39/0.59 exact (zenon_H24 zenon_Hf).
% 0.39/0.59 cut ((hates zenon_TX_r (agatha)) = (hates (charles) (agatha))).
% 0.39/0.59 intro zenon_D_pnotp.
% 0.39/0.59 apply zenon_H1f.
% 0.39/0.59 rewrite <- zenon_D_pnotp.
% 0.39/0.59 exact zenon_H23.
% 0.39/0.59 cut (((agatha) = (agatha))); [idtac | apply NNPP; zenon_intro zenon_He].
% 0.39/0.59 cut ((zenon_TX_r = (charles))); [idtac | apply NNPP; zenon_intro zenon_H25].
% 0.39/0.59 congruence.
% 0.39/0.59 exact (zenon_H25 zenon_H1a).
% 0.39/0.59 apply zenon_He. apply refl_equal.
% 0.39/0.59 (* end of lemma zenon_L5_ *)
% 0.39/0.59 apply NNPP. intro zenon_G.
% 0.39/0.59 elim pel55_1. zenon_intro zenon_TX_r. zenon_intro zenon_H26.
% 0.39/0.59 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H27. zenon_intro zenon_Hf.
% 0.39/0.59 generalize (pel55_3 zenon_TX_r). zenon_intro zenon_H28.
% 0.39/0.59 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 0.39/0.59 exact (zenon_H2a zenon_H27).
% 0.39/0.59 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H10 | zenon_intro zenon_H2b ].
% 0.39/0.59 apply (zenon_L2_ zenon_TX_r); trivial.
% 0.39/0.59 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H14 | zenon_intro zenon_H1a ].
% 0.39/0.59 generalize (pel55_10 (agatha)). zenon_intro zenon_H2c.
% 0.39/0.59 elim zenon_H2c. zenon_intro zenon_TY_w. zenon_intro zenon_H2d.
% 0.39/0.59 generalize (pel55_7 zenon_TY_w). zenon_intro zenon_H2e.
% 0.39/0.59 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.39/0.59 apply zenon_H30. zenon_intro zenon_H15.
% 0.39/0.59 generalize (pel55_8 zenon_TY_w). zenon_intro zenon_H31.
% 0.39/0.59 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ].
% 0.39/0.59 apply zenon_H33. zenon_intro zenon_H34.
% 0.39/0.59 generalize (pel55_5 zenon_TY_w). zenon_intro zenon_H35.
% 0.39/0.59 generalize (zenon_H35 (agatha)). zenon_intro zenon_H36.
% 0.39/0.59 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 0.39/0.59 cut ((killed zenon_TX_r (agatha)) = (killed zenon_TY_w (agatha))).
% 0.39/0.59 intro zenon_D_pnotp.
% 0.39/0.59 apply zenon_H38.
% 0.39/0.59 rewrite <- zenon_D_pnotp.
% 0.39/0.59 exact zenon_Hf.
% 0.39/0.59 cut (((agatha) = (agatha))); [idtac | apply NNPP; zenon_intro zenon_He].
% 0.39/0.59 cut ((zenon_TX_r = zenon_TY_w)); [idtac | apply NNPP; zenon_intro zenon_H13].
% 0.39/0.59 congruence.
% 0.39/0.59 apply (zenon_L3_ zenon_TY_w zenon_TX_r); trivial.
% 0.39/0.59 apply zenon_He. apply refl_equal.
% 0.39/0.59 exact (zenon_H37 zenon_H34).
% 0.39/0.59 generalize (pel55_10 (butler)). zenon_intro zenon_H39.
% 0.39/0.59 elim zenon_H39. zenon_intro zenon_TY_cg. zenon_intro zenon_H3b.
% 0.39/0.59 generalize (pel55_9 zenon_TY_cg). zenon_intro zenon_H3c.
% 0.39/0.59 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 0.39/0.59 generalize (pel55_7 zenon_TY_cg). zenon_intro zenon_H3f.
% 0.39/0.59 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ].
% 0.39/0.59 apply zenon_H41. zenon_intro zenon_H42.
% 0.39/0.59 cut ((hates (butler) zenon_TY_w) = (hates (butler) zenon_TY_cg)).
% 0.39/0.59 intro zenon_D_pnotp.
% 0.39/0.59 apply zenon_H3b.
% 0.39/0.59 rewrite <- zenon_D_pnotp.
% 0.39/0.59 exact zenon_H32.
% 0.39/0.59 cut ((zenon_TY_w = zenon_TY_cg)); [idtac | apply NNPP; zenon_intro zenon_H43].
% 0.39/0.59 cut (((butler) = (butler))); [idtac | apply NNPP; zenon_intro zenon_H19].
% 0.39/0.59 congruence.
% 0.39/0.59 apply zenon_H19. apply refl_equal.
% 0.39/0.59 cut ((zenon_TY_w = (butler)) = (zenon_TY_w = zenon_TY_cg)).
% 0.39/0.59 intro zenon_D_pnotp.
% 0.39/0.59 apply zenon_H43.
% 0.39/0.59 rewrite <- zenon_D_pnotp.
% 0.39/0.59 exact zenon_H15.
% 0.39/0.59 cut (((butler) = zenon_TY_cg)); [idtac | apply NNPP; zenon_intro zenon_H44].
% 0.39/0.59 cut ((zenon_TY_w = zenon_TY_w)); [idtac | apply NNPP; zenon_intro zenon_H45].
% 0.39/0.59 congruence.
% 0.39/0.59 apply zenon_H45. apply refl_equal.
% 0.39/0.59 apply zenon_H44. apply sym_equal. exact zenon_H42.
% 0.39/0.59 exact (zenon_H3e zenon_H40).
% 0.39/0.59 exact (zenon_H3b zenon_H3d).
% 0.39/0.59 exact (zenon_H2d zenon_H2f).
% 0.39/0.59 apply (zenon_L5_ zenon_TX_r); trivial.
% 0.39/0.59 Qed.
% 0.39/0.59 % SZS output end Proof
% 0.39/0.59 (* END-PROOF *)
% 0.39/0.59 nodes searched: 3322
% 0.39/0.59 max branch formulas: 293
% 0.39/0.59 proof nodes created: 351
% 0.39/0.59 formulas created: 3585
% 0.39/0.59
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