TSTP Solution File: KRS088+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : KRS088+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n024.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 03:39:25 EDT 2022
% Result : Unsatisfiable 1.57s 1.75s
% Output : Proof 1.57s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS088+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n024.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 19:41:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.57/1.75 (* PROOF-FOUND *)
% 1.57/1.75 % SZS status Unsatisfiable
% 1.57/1.75 (* BEGIN-PROOF *)
% 1.57/1.75 % SZS output start Proof
% 1.57/1.75 Theorem zenon_thm : False.
% 1.57/1.75 Proof.
% 1.57/1.75 assert (zenon_L1_ : forall (zenon_TY_y : zenon_U), (rf (i2003_11_14_17_19_49673) zenon_TY_y) -> (~(rinvF zenon_TY_y (i2003_11_14_17_19_49673))) -> False).
% 1.57/1.75 do 1 intro. intros zenon_H16 zenon_H17.
% 1.57/1.75 generalize (axiom_4 zenon_TY_y). zenon_intro zenon_H19.
% 1.57/1.75 generalize (zenon_H19 (i2003_11_14_17_19_49673)). zenon_intro zenon_H1a.
% 1.57/1.75 apply (zenon_equiv_s _ _ zenon_H1a); [ zenon_intro zenon_H17; zenon_intro zenon_H1c | zenon_intro zenon_H1b; zenon_intro zenon_H16 ].
% 1.57/1.75 exact (zenon_H1c zenon_H16).
% 1.57/1.75 exact (zenon_H17 zenon_H1b).
% 1.57/1.75 (* end of lemma zenon_L1_ *)
% 1.57/1.75 assert (zenon_L2_ : forall (zenon_TY_y : zenon_U), (exists W : zenon_U, ((rf (i2003_11_14_17_19_49673) W)/\(~(cp1 W)))) -> (forall B : zenon_U, (((zenon_TY_y = B)/\(cp1 zenon_TY_y))->(cp1 B))) -> (forall Z : zenon_U, (((rf (i2003_11_14_17_19_49673) zenon_TY_y)/\(rf (i2003_11_14_17_19_49673) Z))->(zenon_TY_y = Z))) -> (rf (i2003_11_14_17_19_49673) zenon_TY_y) -> (cp1 zenon_TY_y) -> False).
% 1.57/1.75 do 1 intro. intros zenon_H1d zenon_H1e zenon_H1f zenon_H16 zenon_H20.
% 1.57/1.75 elim zenon_H1d. zenon_intro zenon_TW_bh. zenon_intro zenon_H22.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 1.57/1.75 generalize (zenon_H1e zenon_TW_bh). zenon_intro zenon_H25.
% 1.57/1.75 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 1.57/1.75 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ].
% 1.57/1.75 generalize (zenon_H1f zenon_TW_bh). zenon_intro zenon_H2a.
% 1.57/1.75 apply (zenon_imply_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 1.57/1.75 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_H1c | zenon_intro zenon_H2d ].
% 1.57/1.75 exact (zenon_H1c zenon_H16).
% 1.57/1.75 exact (zenon_H2d zenon_H24).
% 1.57/1.75 exact (zenon_H29 zenon_H2b).
% 1.57/1.75 exact (zenon_H28 zenon_H20).
% 1.57/1.75 exact (zenon_H23 zenon_H26).
% 1.57/1.75 (* end of lemma zenon_L2_ *)
% 1.57/1.75 generalize (axiom_2 (i2003_11_14_17_19_49673)). zenon_intro zenon_H2e.
% 1.57/1.75 apply (zenon_equiv_s _ _ zenon_H2e); [ zenon_intro zenon_H31; zenon_intro zenon_H30 | zenon_intro axiom_7; zenon_intro zenon_H2f ].
% 1.57/1.75 exact (zenon_H31 axiom_7).
% 1.57/1.75 elim zenon_H2f. zenon_intro zenon_TY_y. zenon_intro zenon_H32.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H33.
% 1.57/1.75 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H34. zenon_intro zenon_H20.
% 1.57/1.75 generalize (axiom_3 (i2003_11_14_17_19_49673)). zenon_intro zenon_H35.
% 1.57/1.75 generalize (zenon_H35 zenon_TY_y). zenon_intro zenon_H1f.
% 1.57/1.75 generalize (cp1_substitution_1 zenon_TY_y). zenon_intro zenon_H1e.
% 1.57/1.75 generalize (zenon_H34 (i2003_11_14_17_19_49673)). zenon_intro zenon_H36.
% 1.57/1.75 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H17 | zenon_intro zenon_H1d ].
% 1.57/1.75 apply (zenon_L1_ zenon_TY_y); trivial.
% 1.57/1.75 apply (zenon_L2_ zenon_TY_y); trivial.
% 1.57/1.75 Qed.
% 1.57/1.75 % SZS output end Proof
% 1.57/1.75 (* END-PROOF *)
% 1.57/1.75 nodes searched: 85004
% 1.57/1.75 max branch formulas: 7565
% 1.57/1.75 proof nodes created: 3873
% 1.57/1.75 formulas created: 183398
% 1.57/1.75
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