TSTP Solution File: KRS085+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : KRS085+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n032.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 : Sun Jul 17 03:39:24 EDT 2022
% Result : Unsatisfiable 0.15s 0.42s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : KRS085+1 : TPTP v8.1.0. Released v3.1.0.
% 0.09/0.11 % Command : run_zenon %s %d
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Tue Jun 7 08:30:50 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.42 (* PROOF-FOUND *)
% 0.15/0.42 % SZS status Unsatisfiable
% 0.15/0.42 (* BEGIN-PROOF *)
% 0.15/0.42 % SZS output start Proof
% 0.15/0.42 Theorem zenon_thm : False.
% 0.15/0.42 Proof.
% 0.15/0.42 elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((rr x y)->((rr y z)->(rr x z))))))); [ zenon_intro zenon_H16 | zenon_intro zenon_H17 ].
% 0.15/0.42 generalize (axiom_2 (i2003_11_14_17_19_39537)). zenon_intro zenon_H18.
% 0.15/0.42 apply (zenon_equiv_s _ _ zenon_H18); [ zenon_intro zenon_H1b; zenon_intro zenon_H1a | zenon_intro axiom_7; zenon_intro zenon_H19 ].
% 0.15/0.42 exact (zenon_H1b axiom_7).
% 0.15/0.42 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 0.15/0.42 elim zenon_H1d. zenon_intro zenon_TY_be. zenon_intro zenon_H1f.
% 0.15/0.42 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H21. zenon_intro zenon_H20.
% 0.15/0.42 elim zenon_H20. zenon_intro zenon_TZ_bi. zenon_intro zenon_H23.
% 0.15/0.42 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 0.15/0.42 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26.
% 0.15/0.42 generalize (zenon_H26 (i2003_11_14_17_19_39537)). zenon_intro zenon_H28.
% 0.15/0.42 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 0.15/0.42 generalize (axiom_5 zenon_TZ_bi). zenon_intro zenon_H2b.
% 0.15/0.42 generalize (zenon_H2b (i2003_11_14_17_19_39537)). zenon_intro zenon_H2c.
% 0.15/0.42 apply (zenon_equiv_s _ _ zenon_H2c); [ zenon_intro zenon_H2a; zenon_intro zenon_H2f | zenon_intro zenon_H2e; zenon_intro zenon_H2d ].
% 0.15/0.42 elim (classic ((~((i2003_11_14_17_19_39537) = zenon_TY_be))/\(~(rr (i2003_11_14_17_19_39537) zenon_TY_be)))); [ zenon_intro zenon_H30 | zenon_intro zenon_H31 ].
% 0.15/0.42 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32.
% 0.15/0.42 exact (zenon_H32 zenon_H21).
% 0.15/0.42 cut ((rr zenon_TY_be zenon_TZ_bi) = (rr (i2003_11_14_17_19_39537) zenon_TZ_bi)).
% 0.15/0.42 intro zenon_D_pnotp.
% 0.15/0.42 apply zenon_H2f.
% 0.15/0.42 rewrite <- zenon_D_pnotp.
% 0.15/0.42 exact zenon_H25.
% 0.15/0.42 cut ((zenon_TZ_bi = zenon_TZ_bi)); [idtac | apply NNPP; zenon_intro zenon_H34].
% 0.15/0.42 cut ((zenon_TY_be = (i2003_11_14_17_19_39537))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 0.15/0.42 congruence.
% 0.15/0.42 apply (zenon_notand_s _ _ zenon_H31); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ].
% 0.15/0.42 apply zenon_H37. zenon_intro zenon_H38.
% 0.15/0.42 elim (classic ((i2003_11_14_17_19_39537) = (i2003_11_14_17_19_39537))); [ zenon_intro zenon_H39 | zenon_intro zenon_H3a ].
% 0.15/0.42 cut (((i2003_11_14_17_19_39537) = (i2003_11_14_17_19_39537)) = (zenon_TY_be = (i2003_11_14_17_19_39537))).
% 0.15/0.42 intro zenon_D_pnotp.
% 0.15/0.42 apply zenon_H35.
% 0.15/0.42 rewrite <- zenon_D_pnotp.
% 0.15/0.42 exact zenon_H39.
% 0.15/0.42 cut (((i2003_11_14_17_19_39537) = (i2003_11_14_17_19_39537))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 0.15/0.42 cut (((i2003_11_14_17_19_39537) = zenon_TY_be)); [idtac | apply NNPP; zenon_intro zenon_H33].
% 0.15/0.42 congruence.
% 0.15/0.42 exact (zenon_H33 zenon_H38).
% 0.15/0.42 apply zenon_H3a. apply refl_equal.
% 0.15/0.42 apply zenon_H3a. apply refl_equal.
% 0.15/0.42 apply zenon_H36. zenon_intro zenon_H21.
% 0.15/0.42 generalize (zenon_H16 (i2003_11_14_17_19_39537)). zenon_intro zenon_H3b.
% 0.15/0.42 generalize (zenon_H3b zenon_TY_be). zenon_intro zenon_H3c.
% 0.15/0.42 generalize (zenon_H3c zenon_TZ_bi). zenon_intro zenon_H3d.
% 0.15/0.42 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H32 | zenon_intro zenon_H3e ].
% 0.15/0.42 exact (zenon_H32 zenon_H21).
% 0.15/0.42 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H3f | zenon_intro zenon_H2d ].
% 0.15/0.42 exact (zenon_H3f zenon_H25).
% 0.15/0.42 exact (zenon_H2f zenon_H2d).
% 0.15/0.42 apply zenon_H34. apply refl_equal.
% 0.15/0.42 exact (zenon_H2a zenon_H2e).
% 0.15/0.42 exact (zenon_H29 zenon_H1c).
% 0.15/0.42 apply zenon_H17. zenon_intro zenon_Tx_cm. apply NNPP. zenon_intro zenon_H41.
% 0.15/0.42 apply zenon_H41. zenon_intro zenon_Ty_co. apply NNPP. zenon_intro zenon_H43.
% 0.15/0.42 apply zenon_H43. zenon_intro zenon_Tz_cq. apply NNPP. zenon_intro zenon_H45.
% 0.15/0.42 apply (zenon_notimply_s _ _ zenon_H45). zenon_intro zenon_H47. zenon_intro zenon_H46.
% 0.15/0.42 apply (zenon_notimply_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48.
% 0.15/0.42 generalize (axiom_6 zenon_Tx_cm). zenon_intro zenon_H4a.
% 0.15/0.42 generalize (zenon_H4a zenon_Ty_co). zenon_intro zenon_H4b.
% 0.15/0.42 generalize (zenon_H4b zenon_Tz_cq). zenon_intro zenon_H4c.
% 0.15/0.42 apply (zenon_imply_s _ _ zenon_H4c); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ].
% 0.15/0.42 apply (zenon_notand_s _ _ zenon_H4e); [ zenon_intro zenon_H50 | zenon_intro zenon_H4f ].
% 0.15/0.42 exact (zenon_H50 zenon_H47).
% 0.15/0.42 exact (zenon_H4f zenon_H49).
% 0.15/0.42 exact (zenon_H48 zenon_H4d).
% 0.15/0.42 Qed.
% 0.15/0.42 % SZS output end Proof
% 0.15/0.42 (* END-PROOF *)
% 0.15/0.42 nodes searched: 113
% 0.15/0.42 max branch formulas: 137
% 0.15/0.42 proof nodes created: 13
% 0.15/0.42 formulas created: 1180
% 0.15/0.42
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