TSTP Solution File: KRS098+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : KRS098+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n023.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 03:39:26 EDT 2022
% Result : Unsatisfiable 0.47s 0.63s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS098+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jun 7 20:27:38 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.47/0.63 (* PROOF-FOUND *)
% 0.47/0.63 % SZS status Unsatisfiable
% 0.47/0.63 (* BEGIN-PROOF *)
% 0.47/0.63 % SZS output start Proof
% 0.47/0.63 Theorem zenon_thm : False.
% 0.47/0.63 Proof.
% 0.47/0.63 assert (zenon_L1_ : forall (zenon_TY_bp : zenon_U), (~(rr (i2003_11_14_17_20_25524) zenon_TY_bp)) -> (rr2 (i2003_11_14_17_20_25524) zenon_TY_bp) -> False).
% 0.47/0.63 do 1 intro. intros zenon_H27 zenon_H28.
% 0.47/0.63 generalize (axiom_9 (i2003_11_14_17_20_25524)). zenon_intro zenon_H2a.
% 0.47/0.63 generalize (zenon_H2a zenon_TY_bp). zenon_intro zenon_H2b.
% 0.47/0.63 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ].
% 0.47/0.63 exact (zenon_H2d zenon_H28).
% 0.47/0.63 exact (zenon_H27 zenon_H2c).
% 0.47/0.63 (* end of lemma zenon_L1_ *)
% 0.47/0.63 assert (zenon_L2_ : forall (zenon_TZ_bx : zenon_U) (zenon_TY_bp : zenon_U) (zenon_TY_by : zenon_U), (zenon_TY_by = zenon_TY_bp) -> (rtt zenon_TY_bp zenon_TZ_bx) -> (~(rtt zenon_TY_by zenon_TZ_bx)) -> False).
% 0.47/0.63 do 3 intro. intros zenon_H2e zenon_H2f zenon_H30.
% 0.47/0.63 generalize (rtt_substitution_1 zenon_TY_bp). zenon_intro zenon_H33.
% 0.47/0.63 generalize (zenon_H33 zenon_TY_by). zenon_intro zenon_H34.
% 0.47/0.63 generalize (zenon_H34 zenon_TZ_bx). zenon_intro zenon_H35.
% 0.47/0.63 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ].
% 0.47/0.63 apply (zenon_notand_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ].
% 0.47/0.63 apply zenon_H39. apply sym_equal. exact zenon_H2e.
% 0.47/0.63 exact (zenon_H38 zenon_H2f).
% 0.47/0.63 exact (zenon_H30 zenon_H36).
% 0.47/0.63 (* end of lemma zenon_L2_ *)
% 0.47/0.63 assert (zenon_L3_ : forall (zenon_TY_by : zenon_U) (zenon_TY_bp : zenon_U) (zenon_TZ_bx : zenon_U), (forall B : zenon_U, (forall C : zenon_U, (((zenon_TZ_bx = B)/\(rtt C zenon_TZ_bx))->(rtt C B)))) -> (rt2 zenon_TY_bp zenon_TZ_bx) -> (~(rtt zenon_TY_by zenon_TZ_bx)) -> (rr2 (i2003_11_14_17_20_25524) zenon_TY_bp) -> (rr3 (i2003_11_14_17_20_25524) zenon_TY_by) -> (~(exists Y1 : zenon_U, ((rr (i2003_11_14_17_20_25524) zenon_TY_by)/\((rr (i2003_11_14_17_20_25524) Y1)/\(~(zenon_TY_by = Y1)))))) -> False).
% 0.47/0.63 do 3 intro. intros zenon_H3a zenon_H3b zenon_H30 zenon_H28 zenon_H3c zenon_H3d.
% 0.47/0.63 generalize (zenon_H3a zenon_TZ_bx). zenon_intro zenon_H3e.
% 0.47/0.63 apply zenon_H3d. exists zenon_TY_bp. apply NNPP. zenon_intro zenon_H3f.
% 0.47/0.63 apply (zenon_notand_s _ _ zenon_H3f); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ].
% 0.47/0.63 generalize (axiom_12 (i2003_11_14_17_20_25524)). zenon_intro zenon_H42.
% 0.47/0.63 generalize (zenon_H42 zenon_TY_by). zenon_intro zenon_H43.
% 0.47/0.63 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ].
% 0.47/0.63 exact (zenon_H45 zenon_H3c).
% 0.47/0.63 exact (zenon_H41 zenon_H44).
% 0.47/0.63 apply (zenon_notand_s _ _ zenon_H40); [ zenon_intro zenon_H27 | zenon_intro zenon_H46 ].
% 0.47/0.63 apply (zenon_L1_ zenon_TY_bp); trivial.
% 0.47/0.63 apply zenon_H46. zenon_intro zenon_H2e.
% 0.47/0.63 generalize (axiom_11 zenon_TY_bp). zenon_intro zenon_H47.
% 0.47/0.63 generalize (zenon_H3e zenon_TY_bp). zenon_intro zenon_H48.
% 0.47/0.63 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H49 | zenon_intro zenon_H2f ].
% 0.47/0.63 apply (zenon_notand_s _ _ zenon_H49); [ zenon_intro zenon_H4a | zenon_intro zenon_H38 ].
% 0.47/0.63 apply zenon_H4a. apply refl_equal.
% 0.47/0.63 generalize (zenon_H47 zenon_TZ_bx). zenon_intro zenon_H4b.
% 0.47/0.63 apply (zenon_imply_s _ _ zenon_H4b); [ zenon_intro zenon_H4c | zenon_intro zenon_H2f ].
% 0.47/0.63 exact (zenon_H4c zenon_H3b).
% 0.47/0.63 exact (zenon_H38 zenon_H2f).
% 0.47/0.63 apply (zenon_L2_ zenon_TZ_bx zenon_TY_bp zenon_TY_by); trivial.
% 0.47/0.63 (* end of lemma zenon_L3_ *)
% 0.47/0.63 generalize (axiom_2 (i2003_11_14_17_20_25524)). zenon_intro zenon_H4d.
% 0.47/0.63 apply (zenon_equiv_s _ _ zenon_H4d); [ zenon_intro zenon_H50; zenon_intro zenon_H4f | zenon_intro axiom_4; zenon_intro zenon_H4e ].
% 0.47/0.63 exact (zenon_H50 axiom_4).
% 0.47/0.63 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H52. zenon_intro zenon_H51.
% 0.47/0.63 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H54. zenon_intro zenon_H53.
% 0.47/0.63 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55.
% 0.47/0.63 elim zenon_H52. zenon_intro zenon_TY_by. zenon_intro zenon_H57.
% 0.47/0.63 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H3c. zenon_intro zenon_H58.
% 0.47/0.63 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5a. zenon_intro zenon_H59.
% 0.47/0.63 elim zenon_H5a. zenon_intro zenon_TZ_dn. zenon_intro zenon_H5c.
% 0.47/0.63 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H5e. zenon_intro zenon_H5d.
% 0.47/0.63 elim zenon_H54. zenon_intro zenon_TY_bp. zenon_intro zenon_H5f.
% 0.47/0.63 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H28. zenon_intro zenon_H60.
% 0.47/0.63 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 0.47/0.63 elim zenon_H61. zenon_intro zenon_TZ_bx. zenon_intro zenon_H63.
% 0.47/0.63 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H3b. zenon_intro zenon_H64.
% 0.47/0.63 generalize (axiom_7 zenon_TZ_bx). zenon_intro zenon_H65.
% 0.47/0.63 apply (zenon_notand_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ].
% 0.47/0.63 generalize (zenon_H59 zenon_TZ_dn). zenon_intro zenon_H68.
% 0.47/0.63 generalize (ce_substitution_1 zenon_TZ_dn). zenon_intro zenon_H69.
% 0.47/0.63 generalize (rtt_substitution_2 zenon_TZ_bx). zenon_intro zenon_H3a.
% 0.47/0.63 generalize (zenon_H68 zenon_TZ_bx). zenon_intro zenon_H6a.
% 0.47/0.63 apply (zenon_imply_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 0.47/0.63 apply (zenon_notand_s _ _ zenon_H6c); [ zenon_intro zenon_H6d | zenon_intro zenon_H30 ].
% 0.47/0.63 generalize (axiom_13 zenon_TY_by). zenon_intro zenon_H6e.
% 0.47/0.63 generalize (zenon_H6e zenon_TZ_dn). zenon_intro zenon_H6f.
% 0.47/0.63 apply (zenon_imply_s _ _ zenon_H6f); [ zenon_intro zenon_H71 | zenon_intro zenon_H70 ].
% 0.47/0.63 exact (zenon_H71 zenon_H5e).
% 0.47/0.63 exact (zenon_H6d zenon_H70).
% 0.47/0.63 apply zenon_H56. exists zenon_TY_by. apply NNPP. zenon_intro zenon_H3d.
% 0.47/0.63 apply (zenon_L3_ zenon_TY_by zenon_TY_bp zenon_TZ_bx); trivial.
% 0.47/0.63 generalize (zenon_H69 zenon_TZ_bx). zenon_intro zenon_H72.
% 0.47/0.63 apply (zenon_imply_s _ _ zenon_H72); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ].
% 0.47/0.63 apply (zenon_notand_s _ _ zenon_H74); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ].
% 0.47/0.63 exact (zenon_H76 zenon_H6b).
% 0.47/0.63 exact (zenon_H75 zenon_H5d).
% 0.47/0.63 exact (zenon_H67 zenon_H73).
% 0.47/0.63 exact (zenon_H66 zenon_H64).
% 0.47/0.63 Qed.
% 0.47/0.63 % SZS output end Proof
% 0.47/0.63 (* END-PROOF *)
% 0.47/0.63 nodes searched: 10118
% 0.47/0.63 max branch formulas: 1325
% 0.47/0.63 proof nodes created: 765
% 0.47/0.63 formulas created: 22378
% 0.47/0.63
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