TSTP Solution File: SWW469+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWW469+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n019.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 : Thu Jul 21 02:21:44 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW469+1 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 4 12:15:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 (* PROOF-FOUND *)
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 (* BEGIN-PROOF *)
% 0.19/0.50 % SZS output start Proof
% 0.19/0.50 Theorem conj_1 : (forall T : zenon_U, ((is_state T)->(~(forall S : zenon_U, ((is_state S)->(S = T)))))).
% 0.19/0.50 Proof.
% 0.19/0.50 apply NNPP. intro zenon_G.
% 0.19/0.50 apply (zenon_equiv_s _ _ fact_0_state__not__singleton__def); [ zenon_intro zenon_H8; zenon_intro zenon_H7 | zenon_intro conj_0; zenon_intro zenon_H6 ].
% 0.19/0.50 exact (zenon_H8 conj_0).
% 0.19/0.50 elim zenon_H6. zenon_intro zenon_TS_j. zenon_intro zenon_Ha.
% 0.19/0.50 elim zenon_Ha. zenon_intro zenon_TT_l. zenon_intro zenon_Hc.
% 0.19/0.50 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.19/0.50 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.19/0.50 apply (zenon_notallex_s (fun T : zenon_U => ((is_state T)->(~(forall S : zenon_U, ((is_state S)->(S = T)))))) zenon_G); [ zenon_intro zenon_H11; idtac ].
% 0.19/0.50 elim zenon_H11. zenon_intro zenon_TT_s. zenon_intro zenon_H13.
% 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.19/0.50 apply zenon_H14. zenon_intro zenon_H16.
% 0.19/0.50 generalize (zenon_H16 zenon_TT_l). zenon_intro zenon_H17.
% 0.19/0.50 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ].
% 0.19/0.50 exact (zenon_H19 zenon_H10).
% 0.19/0.50 elim (classic (zenon_TT_l = zenon_TT_l)); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ].
% 0.19/0.50 cut ((zenon_TT_l = zenon_TT_l) = (zenon_TS_j = zenon_TT_l)).
% 0.19/0.50 intro zenon_D_pnotp.
% 0.19/0.50 apply zenon_Hf.
% 0.19/0.50 rewrite <- zenon_D_pnotp.
% 0.19/0.50 exact zenon_H1a.
% 0.19/0.50 cut ((zenon_TT_l = zenon_TT_l)); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 0.19/0.50 cut ((zenon_TT_l = zenon_TS_j)); [idtac | apply NNPP; zenon_intro zenon_H1c].
% 0.19/0.50 congruence.
% 0.19/0.50 cut ((zenon_TT_l = zenon_TT_s) = (zenon_TT_l = zenon_TS_j)).
% 0.19/0.50 intro zenon_D_pnotp.
% 0.19/0.50 apply zenon_H1c.
% 0.19/0.50 rewrite <- zenon_D_pnotp.
% 0.19/0.50 exact zenon_H18.
% 0.19/0.50 cut ((zenon_TT_s = zenon_TS_j)); [idtac | apply NNPP; zenon_intro zenon_H1d].
% 0.19/0.50 cut ((zenon_TT_l = zenon_TT_l)); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 0.19/0.50 congruence.
% 0.19/0.50 apply zenon_H1b. apply refl_equal.
% 0.19/0.50 generalize (zenon_H16 zenon_TS_j). zenon_intro zenon_H1e.
% 0.19/0.50 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ].
% 0.19/0.50 exact (zenon_H20 zenon_He).
% 0.19/0.50 apply zenon_H1d. apply sym_equal. exact zenon_H1f.
% 0.19/0.50 apply zenon_H1b. apply refl_equal.
% 0.19/0.50 apply zenon_H1b. apply refl_equal.
% 0.19/0.50 Qed.
% 0.19/0.50 % SZS output end Proof
% 0.19/0.50 (* END-PROOF *)
% 0.19/0.50 nodes searched: 29
% 0.19/0.50 max branch formulas: 28
% 0.19/0.50 proof nodes created: 17
% 0.19/0.50 formulas created: 168
% 0.19/0.50
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