TSTP Solution File: KRS119+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : KRS119+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n027.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 03:39:30 EDT 2022
% Result : Unsatisfiable 214.94s 215.17s
% Output : Proof 215.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS119+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 08:48:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 214.94/215.17 (* PROOF-FOUND *)
% 214.94/215.17 % SZS status Unsatisfiable
% 214.94/215.17 (* BEGIN-PROOF *)
% 214.94/215.17 % SZS output start Proof
% 214.94/215.17 Theorem zenon_thm : False.
% 214.94/215.17 Proof.
% 214.94/215.17 assert (zenon_L1_ : (cp1xcomp (i2003_11_14_17_21_44786)) -> (~(exists Y : zenon_U, (ra_Px1 (i2003_11_14_17_21_44786) Y))) -> False).
% 214.94/215.17 do 0 intro. intros zenon_H1f zenon_H20.
% 214.94/215.17 generalize (axiom_4 (i2003_11_14_17_21_44786)). zenon_intro zenon_H21.
% 214.94/215.17 apply (zenon_equiv_s _ _ zenon_H21); [ zenon_intro zenon_H23; zenon_intro zenon_H20 | zenon_intro zenon_H1f; zenon_intro zenon_H22 ].
% 214.94/215.17 exact (zenon_H23 zenon_H1f).
% 214.94/215.17 exact (zenon_H20 zenon_H22).
% 214.94/215.17 (* end of lemma zenon_L1_ *)
% 214.94/215.17 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_H24 | zenon_intro zenon_H25 ].
% 214.94/215.17 generalize (axiom_2 (i2003_11_14_17_21_44786)). zenon_intro zenon_H26.
% 214.94/215.17 apply (zenon_equiv_s _ _ zenon_H26); [ zenon_intro zenon_H29; zenon_intro zenon_H28 | zenon_intro axiom_11; zenon_intro zenon_H27 ].
% 214.94/215.17 exact (zenon_H29 axiom_11).
% 214.94/215.17 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H2b. zenon_intro zenon_H2a.
% 214.94/215.17 elim zenon_H2b. zenon_intro zenon_TY_bs. zenon_intro zenon_H2d.
% 214.94/215.17 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 214.94/215.17 generalize (axiom_6 zenon_TY_bs). zenon_intro zenon_H30.
% 214.94/215.17 apply (zenon_equiv_s _ _ zenon_H30); [ zenon_intro zenon_H33; zenon_intro zenon_H32 | zenon_intro zenon_H2e; zenon_intro zenon_H31 ].
% 214.94/215.17 exact (zenon_H33 zenon_H2e).
% 214.94/215.17 elim zenon_H31. zenon_intro zenon_TY_ca. zenon_intro zenon_H35.
% 214.94/215.17 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 214.94/215.17 generalize (axiom_5 zenon_TY_ca). zenon_intro zenon_H38.
% 214.94/215.17 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H3b; zenon_intro zenon_H3a | zenon_intro zenon_H36; zenon_intro zenon_H39 ].
% 214.94/215.17 exact (zenon_H3b zenon_H36).
% 214.94/215.17 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H3d. zenon_intro zenon_H3c.
% 214.94/215.17 generalize (axiom_3 (i2003_11_14_17_21_44786)). zenon_intro zenon_H3e.
% 214.94/215.17 apply (zenon_equiv_s _ _ zenon_H3e); [ zenon_intro zenon_H40; zenon_intro zenon_H3f | zenon_intro zenon_H2a; zenon_intro zenon_H20 ].
% 214.94/215.17 exact (zenon_H40 zenon_H2a).
% 214.94/215.17 generalize (rinvR_substitution_1 zenon_TY_ca). zenon_intro zenon_H41.
% 214.94/215.17 generalize (zenon_H41 zenon_TY_ca). zenon_intro zenon_H42.
% 214.94/215.17 generalize (zenon_H42 (i2003_11_14_17_21_44786)). zenon_intro zenon_H43.
% 214.94/215.17 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ].
% 214.94/215.17 apply (zenon_notand_s _ _ zenon_H45); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ].
% 214.94/215.17 apply zenon_H47. apply refl_equal.
% 214.94/215.17 generalize (axiom_9 zenon_TY_ca). zenon_intro zenon_H48.
% 214.94/215.17 generalize (zenon_H48 (i2003_11_14_17_21_44786)). zenon_intro zenon_H49.
% 214.94/215.17 apply (zenon_equiv_s _ _ zenon_H49); [ zenon_intro zenon_H46; zenon_intro zenon_H4b | zenon_intro zenon_H44; zenon_intro zenon_H4a ].
% 214.94/215.17 elim (classic ((~((i2003_11_14_17_21_44786) = zenon_TY_bs))/\(~(rr (i2003_11_14_17_21_44786) zenon_TY_bs)))); [ zenon_intro zenon_H4c | zenon_intro zenon_H4d ].
% 214.94/215.17 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 214.94/215.17 exact (zenon_H4e zenon_H2f).
% 214.94/215.17 cut ((rr zenon_TY_bs zenon_TY_ca) = (rr (i2003_11_14_17_21_44786) zenon_TY_ca)).
% 214.94/215.17 intro zenon_D_pnotp.
% 214.94/215.17 apply zenon_H4b.
% 214.94/215.17 rewrite <- zenon_D_pnotp.
% 214.94/215.17 exact zenon_H37.
% 214.94/215.17 cut ((zenon_TY_ca = zenon_TY_ca)); [idtac | apply NNPP; zenon_intro zenon_H47].
% 214.94/215.17 cut ((zenon_TY_bs = (i2003_11_14_17_21_44786))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 214.94/215.17 congruence.
% 214.94/215.17 apply (zenon_notand_s _ _ zenon_H4d); [ zenon_intro zenon_H52 | zenon_intro zenon_H51 ].
% 214.94/215.17 apply zenon_H52. zenon_intro zenon_H53.
% 214.94/215.17 elim (classic ((i2003_11_14_17_21_44786) = (i2003_11_14_17_21_44786))); [ zenon_intro zenon_H54 | zenon_intro zenon_H55 ].
% 214.94/215.17 cut (((i2003_11_14_17_21_44786) = (i2003_11_14_17_21_44786)) = (zenon_TY_bs = (i2003_11_14_17_21_44786))).
% 214.94/215.17 intro zenon_D_pnotp.
% 214.94/215.17 apply zenon_H50.
% 214.94/215.17 rewrite <- zenon_D_pnotp.
% 214.94/215.17 exact zenon_H54.
% 214.94/215.17 cut (((i2003_11_14_17_21_44786) = (i2003_11_14_17_21_44786))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 214.94/215.17 cut (((i2003_11_14_17_21_44786) = zenon_TY_bs)); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 214.94/215.17 congruence.
% 214.94/215.17 exact (zenon_H4f zenon_H53).
% 214.94/215.17 apply zenon_H55. apply refl_equal.
% 215.04/215.23 apply zenon_H55. apply refl_equal.
% 215.04/215.23 apply zenon_H51. zenon_intro zenon_H2f.
% 215.04/215.23 generalize (zenon_H24 (i2003_11_14_17_21_44786)). zenon_intro zenon_H56.
% 215.04/215.23 generalize (zenon_H56 zenon_TY_bs). zenon_intro zenon_H57.
% 215.04/215.23 generalize (zenon_H57 zenon_TY_ca). zenon_intro zenon_H58.
% 215.04/215.23 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H4e | zenon_intro zenon_H59 ].
% 215.04/215.23 exact (zenon_H4e zenon_H2f).
% 215.04/215.23 apply (zenon_imply_s _ _ zenon_H59); [ zenon_intro zenon_H5a | zenon_intro zenon_H4a ].
% 215.04/215.23 exact (zenon_H5a zenon_H37).
% 215.04/215.23 exact (zenon_H4b zenon_H4a).
% 215.04/215.23 apply zenon_H47. apply refl_equal.
% 215.04/215.23 exact (zenon_H46 zenon_H44).
% 215.04/215.23 generalize (axiom_9 zenon_TY_ca). zenon_intro zenon_H48.
% 215.04/215.23 generalize (zenon_H48 (i2003_11_14_17_21_44786)). zenon_intro zenon_H49.
% 215.04/215.23 apply (zenon_equiv_s _ _ zenon_H49); [ zenon_intro zenon_H46; zenon_intro zenon_H4b | zenon_intro zenon_H44; zenon_intro zenon_H4a ].
% 215.04/215.23 exact (zenon_H46 zenon_H44).
% 215.04/215.23 generalize (zenon_H3c (i2003_11_14_17_21_44786)). zenon_intro zenon_H5b.
% 215.04/215.23 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_H46 | zenon_intro zenon_H1f ].
% 215.04/215.23 generalize (axiom_9 zenon_TY_ca). zenon_intro zenon_H48.
% 215.04/215.23 generalize (zenon_H48 (i2003_11_14_17_21_44786)). zenon_intro zenon_H49.
% 215.04/215.23 apply (zenon_equiv_s _ _ zenon_H49); [ zenon_intro zenon_H46; zenon_intro zenon_H4b | zenon_intro zenon_H44; zenon_intro zenon_H4a ].
% 215.04/215.23 exact (zenon_H4b zenon_H4a).
% 215.04/215.23 exact (zenon_H46 zenon_H44).
% 215.04/215.23 apply (zenon_L1_); trivial.
% 215.04/215.23 apply zenon_H25. zenon_intro zenon_Tx_do. apply NNPP. zenon_intro zenon_H5d.
% 215.04/215.23 apply zenon_H5d. zenon_intro zenon_Ty_dq. apply NNPP. zenon_intro zenon_H5f.
% 215.04/215.23 apply zenon_H5f. zenon_intro zenon_Tz_ds. apply NNPP. zenon_intro zenon_H61.
% 215.04/215.23 apply (zenon_notimply_s _ _ zenon_H61). zenon_intro zenon_H63. zenon_intro zenon_H62.
% 215.04/215.23 apply (zenon_notimply_s _ _ zenon_H62). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 215.04/215.23 generalize (axiom_10 zenon_Tx_do). zenon_intro zenon_H66.
% 215.04/215.23 generalize (zenon_H66 zenon_Ty_dq). zenon_intro zenon_H67.
% 215.04/215.23 generalize (zenon_H67 zenon_Tz_ds). zenon_intro zenon_H68.
% 215.04/215.23 apply (zenon_imply_s _ _ zenon_H68); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ].
% 215.04/215.23 apply (zenon_notand_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 215.04/215.23 exact (zenon_H6c zenon_H63).
% 215.04/215.23 exact (zenon_H6b zenon_H65).
% 215.04/215.23 exact (zenon_H64 zenon_H69).
% 215.04/215.23 Qed.
% 215.04/215.23 % SZS output end Proof
% 215.04/215.23 (* END-PROOF *)
% 215.04/215.23 nodes searched: 38322475
% 215.04/215.23 max branch formulas: 130741
% 215.04/215.23 proof nodes created: 75217
% 215.04/215.23 formulas created: 10318232
% 215.04/215.23
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