TSTP Solution File: KRS078+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : KRS078+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n028.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 03:39:23 EDT 2022
% Result : Unsatisfiable 0.46s 0.64s
% Output : Proof 0.46s
% 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 : KRS078+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 13:53:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/0.64 (* PROOF-FOUND *)
% 0.46/0.64 % SZS status Unsatisfiable
% 0.46/0.64 (* BEGIN-PROOF *)
% 0.46/0.64 % SZS output start Proof
% 0.46/0.64 Theorem zenon_thm : False.
% 0.46/0.64 Proof.
% 0.46/0.64 assert (zenon_L1_ : forall (zenon_TY_u : zenon_U), (rr (i2003_11_14_17_19_13721) zenon_TY_u) -> (~(rinvR zenon_TY_u (i2003_11_14_17_19_13721))) -> False).
% 0.46/0.64 do 1 intro. intros zenon_H12 zenon_H13.
% 0.46/0.64 generalize (axiom_3 zenon_TY_u). zenon_intro zenon_H15.
% 0.46/0.64 generalize (zenon_H15 (i2003_11_14_17_19_13721)). zenon_intro zenon_H16.
% 0.46/0.64 apply (zenon_equiv_s _ _ zenon_H16); [ zenon_intro zenon_H13; zenon_intro zenon_H18 | zenon_intro zenon_H17; zenon_intro zenon_H12 ].
% 0.46/0.64 exact (zenon_H18 zenon_H12).
% 0.46/0.64 exact (zenon_H13 zenon_H17).
% 0.46/0.64 (* end of lemma zenon_L1_ *)
% 0.46/0.64 generalize (axiom_2 (i2003_11_14_17_19_13721)). zenon_intro zenon_H19.
% 0.46/0.64 apply (zenon_equiv_s _ _ zenon_H19); [ zenon_intro zenon_H1c; zenon_intro zenon_H1b | zenon_intro axiom_4; zenon_intro zenon_H1a ].
% 0.46/0.64 exact (zenon_H1c axiom_4).
% 0.46/0.64 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.46/0.64 elim zenon_H1e. zenon_intro zenon_TY_u. zenon_intro zenon_H1f.
% 0.46/0.64 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H20.
% 0.46/0.64 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H22. zenon_intro zenon_H21.
% 0.46/0.64 elim zenon_H22. zenon_intro zenon_TZ_bj. zenon_intro zenon_H24.
% 0.46/0.64 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H26. zenon_intro zenon_H25.
% 0.46/0.64 generalize (axiom_3 zenon_TY_u). zenon_intro zenon_H15.
% 0.46/0.64 generalize (zenon_H15 zenon_TZ_bj). zenon_intro zenon_H27.
% 0.46/0.64 apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H2a; zenon_intro zenon_H29 | zenon_intro zenon_H26; zenon_intro zenon_H28 ].
% 0.46/0.64 exact (zenon_H2a zenon_H26).
% 0.46/0.64 elim zenon_H1d. zenon_intro zenon_TY_br. zenon_intro zenon_H2c.
% 0.46/0.64 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d.
% 0.46/0.64 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 0.46/0.64 generalize (zenon_H25 zenon_TY_br). zenon_intro zenon_H31.
% 0.46/0.64 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ].
% 0.46/0.64 generalize (zenon_H21 (i2003_11_14_17_19_13721)). zenon_intro zenon_H34.
% 0.46/0.64 generalize (zenon_H34 zenon_TZ_bj). zenon_intro zenon_H35.
% 0.46/0.64 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ].
% 0.46/0.64 apply (zenon_notand_s _ _ zenon_H37); [ zenon_intro zenon_H13 | zenon_intro zenon_H2a ].
% 0.46/0.64 apply (zenon_L1_ zenon_TY_u); trivial.
% 0.46/0.64 generalize (axiom_3 zenon_TY_u). zenon_intro zenon_H15.
% 0.46/0.64 generalize (zenon_H15 zenon_TZ_bj). zenon_intro zenon_H27.
% 0.46/0.64 apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H2a; zenon_intro zenon_H29 | zenon_intro zenon_H26; zenon_intro zenon_H28 ].
% 0.46/0.64 exact (zenon_H29 zenon_H28).
% 0.46/0.64 exact (zenon_H2a zenon_H26).
% 0.46/0.64 generalize (rs_substitution_1 (i2003_11_14_17_19_13721)). zenon_intro zenon_H38.
% 0.46/0.64 generalize (zenon_H38 zenon_TZ_bj). zenon_intro zenon_H39.
% 0.46/0.64 generalize (zenon_H39 zenon_TY_br). zenon_intro zenon_H3a.
% 0.46/0.64 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 0.46/0.64 apply (zenon_notand_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 0.46/0.64 exact (zenon_H3e zenon_H36).
% 0.46/0.64 exact (zenon_H3d zenon_H2e).
% 0.46/0.64 exact (zenon_H33 zenon_H3b).
% 0.46/0.64 exact (zenon_H2f zenon_H32).
% 0.46/0.64 Qed.
% 0.46/0.64 % SZS output end Proof
% 0.46/0.64 (* END-PROOF *)
% 0.46/0.64 nodes searched: 7284
% 0.46/0.64 max branch formulas: 1079
% 0.46/0.64 proof nodes created: 874
% 0.46/0.64 formulas created: 18787
% 0.46/0.64
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