TSTP Solution File: SWW469+5 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : SWW469+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n029.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 2.49s 2.69s
% Output : Proof 2.49s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWW469+5 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.14 % Command : run_zenon %s %d
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 4 21:12:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.49/2.69 (* PROOF-FOUND *)
% 2.49/2.69 % SZS status Theorem
% 2.49/2.69 (* BEGIN-PROOF *)
% 2.49/2.69 % SZS output start Proof
% 2.49/2.69 Theorem conj_1 : (forall T : zenon_U, (~(forall S : zenon_U, ((ti (state) S) = (ti (state) T))))).
% 2.49/2.69 Proof.
% 2.49/2.69 assert (zenon_L1_ : forall (zenon_TT_cm : zenon_U) (zenon_TT_cn : zenon_U), (forall S : zenon_U, ((ti (state) S) = (ti (state) zenon_TT_cn))) -> (~((ti (state) zenon_TT_cn) = (ti (state) zenon_TT_cm))) -> False).
% 2.49/2.69 do 2 intro. intros zenon_H0 zenon_H3f.
% 2.49/2.69 generalize (zenon_H0 zenon_TT_cm). zenon_intro zenon_H42.
% 2.49/2.69 apply zenon_H3f. apply sym_equal. exact zenon_H42.
% 2.49/2.69 (* end of lemma zenon_L1_ *)
% 2.49/2.69 apply NNPP. intro zenon_G.
% 2.49/2.69 apply (zenon_notallex_s (fun T : zenon_U => (~(forall S : zenon_U, ((ti (state) S) = (ti (state) T))))) zenon_G); [ zenon_intro zenon_H43; idtac ].
% 2.49/2.69 elim zenon_H43. zenon_intro zenon_TT_cn. zenon_intro zenon_H44.
% 2.49/2.69 apply zenon_H44. zenon_intro zenon_H0.
% 2.49/2.69 apply (zenon_equiv_s _ _ fact_0_state__not__singleton__def); [ zenon_intro zenon_H47; zenon_intro zenon_H46 | zenon_intro conj_0; zenon_intro zenon_H45 ].
% 2.49/2.69 exact (zenon_H47 conj_0).
% 2.49/2.69 elim zenon_H45. zenon_intro zenon_TS_cu. zenon_intro zenon_H49.
% 2.49/2.69 elim zenon_H49. zenon_intro zenon_TT_cm. zenon_intro zenon_H4a.
% 2.49/2.69 generalize (zenon_H0 zenon_E). zenon_intro zenon_H4b.
% 2.49/2.69 cut (((ti (state) zenon_E) = (ti (state) zenon_TT_cn)) = ((ti (state) zenon_TS_cu) = (ti (state) zenon_TT_cm))).
% 2.49/2.69 intro zenon_D_pnotp.
% 2.49/2.69 apply zenon_H4a.
% 2.49/2.69 rewrite <- zenon_D_pnotp.
% 2.49/2.69 exact zenon_H4b.
% 2.49/2.69 cut (((ti (state) zenon_TT_cn) = (ti (state) zenon_TT_cm))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 2.49/2.69 cut (((ti (state) zenon_E) = (ti (state) zenon_TS_cu))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 2.49/2.69 congruence.
% 2.49/2.69 elim (classic ((ti (state) zenon_TS_cu) = (ti (state) zenon_TS_cu))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 2.49/2.69 cut (((ti (state) zenon_TS_cu) = (ti (state) zenon_TS_cu)) = ((ti (state) zenon_E) = (ti (state) zenon_TS_cu))).
% 2.49/2.69 intro zenon_D_pnotp.
% 2.49/2.69 apply zenon_H4c.
% 2.49/2.69 rewrite <- zenon_D_pnotp.
% 2.49/2.69 exact zenon_H4d.
% 2.49/2.69 cut (((ti (state) zenon_TS_cu) = (ti (state) zenon_TS_cu))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 2.49/2.69 cut (((ti (state) zenon_TS_cu) = (ti (state) zenon_E))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 2.49/2.69 congruence.
% 2.49/2.69 generalize (zenon_H0 zenon_TS_cu). zenon_intro zenon_H50.
% 2.49/2.69 elim (classic ((ti (state) zenon_E) = (ti (state) zenon_E))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ].
% 2.49/2.69 cut (((ti (state) zenon_E) = (ti (state) zenon_E)) = ((ti (state) zenon_TS_cu) = (ti (state) zenon_E))).
% 2.49/2.69 intro zenon_D_pnotp.
% 2.49/2.69 apply zenon_H4f.
% 2.49/2.69 rewrite <- zenon_D_pnotp.
% 2.49/2.69 exact zenon_H51.
% 2.49/2.69 cut (((ti (state) zenon_E) = (ti (state) zenon_E))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 2.49/2.69 cut (((ti (state) zenon_E) = (ti (state) zenon_TS_cu))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 2.49/2.69 congruence.
% 2.49/2.69 cut (((ti (state) zenon_E) = (ti (state) zenon_TT_cn)) = ((ti (state) zenon_E) = (ti (state) zenon_TS_cu))).
% 2.49/2.69 intro zenon_D_pnotp.
% 2.49/2.69 apply zenon_H4c.
% 2.49/2.69 rewrite <- zenon_D_pnotp.
% 2.49/2.69 exact zenon_H4b.
% 2.49/2.69 cut (((ti (state) zenon_TT_cn) = (ti (state) zenon_TS_cu))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 2.49/2.69 cut (((ti (state) zenon_E) = (ti (state) zenon_E))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 2.49/2.69 congruence.
% 2.49/2.69 apply zenon_H52. apply refl_equal.
% 2.49/2.69 apply zenon_H53. apply sym_equal. exact zenon_H50.
% 2.49/2.69 apply zenon_H52. apply refl_equal.
% 2.49/2.69 apply zenon_H52. apply refl_equal.
% 2.49/2.69 apply zenon_H4e. apply refl_equal.
% 2.49/2.69 apply zenon_H4e. apply refl_equal.
% 2.49/2.69 apply (zenon_L1_ zenon_TT_cm zenon_TT_cn); trivial.
% 2.49/2.69 Qed.
% 2.49/2.69 % SZS output end Proof
% 2.49/2.69 (* END-PROOF *)
% 2.49/2.69 nodes searched: 5342
% 2.49/2.69 max branch formulas: 2003
% 2.49/2.69 proof nodes created: 67
% 2.49/2.69 formulas created: 110612
% 2.49/2.69
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