TSTP Solution File: KRS073+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n029.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 03:39:22 EDT 2022
% Result : Unsatisfiable 104.57s 104.80s
% Output : Proof 104.57s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 12:09:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 104.57/104.80 (* PROOF-FOUND *)
% 104.57/104.80 % SZS status Unsatisfiable
% 104.57/104.80 (* BEGIN-PROOF *)
% 104.57/104.80 % SZS output start Proof
% 104.57/104.80 Theorem zenon_thm : False.
% 104.57/104.80 Proof.
% 104.57/104.80 assert (zenon_L1_ : forall (zenon_TY_bg : zenon_U), (rf (i2003_11_14_17_18_54369) zenon_TY_bg) -> (~(rinvF zenon_TY_bg (i2003_11_14_17_18_54369))) -> False).
% 104.57/104.80 do 1 intro. intros zenon_H1e zenon_H1f.
% 104.57/104.80 generalize (axiom_5 zenon_TY_bg). zenon_intro zenon_H21.
% 104.57/104.80 generalize (zenon_H21 (i2003_11_14_17_18_54369)). zenon_intro zenon_H22.
% 104.57/104.80 apply (zenon_equiv_s _ _ zenon_H22); [ zenon_intro zenon_H1f; zenon_intro zenon_H24 | zenon_intro zenon_H23; zenon_intro zenon_H1e ].
% 104.57/104.80 exact (zenon_H24 zenon_H1e).
% 104.57/104.80 exact (zenon_H1f zenon_H23).
% 104.57/104.80 (* end of lemma zenon_L1_ *)
% 104.57/104.80 assert (zenon_L2_ : forall (zenon_TW_bn : zenon_U), (rs (i2003_11_14_17_18_54369) zenon_TW_bn) -> (~(rinvS zenon_TW_bn (i2003_11_14_17_18_54369))) -> False).
% 104.57/104.80 do 1 intro. intros zenon_H25 zenon_H26.
% 104.57/104.80 generalize (axiom_7 zenon_TW_bn). zenon_intro zenon_H28.
% 104.57/104.80 generalize (zenon_H28 (i2003_11_14_17_18_54369)). zenon_intro zenon_H29.
% 104.57/104.80 apply (zenon_equiv_s _ _ zenon_H29); [ zenon_intro zenon_H26; zenon_intro zenon_H2b | zenon_intro zenon_H2a; zenon_intro zenon_H25 ].
% 104.57/104.80 exact (zenon_H2b zenon_H25).
% 104.57/104.80 exact (zenon_H26 zenon_H2a).
% 104.57/104.80 (* end of lemma zenon_L2_ *)
% 104.57/104.80 assert (zenon_L3_ : forall (zenon_TY_bg : zenon_U), (rinvS zenon_TY_bg (i2003_11_14_17_18_54369)) -> (~(rs (i2003_11_14_17_18_54369) zenon_TY_bg)) -> False).
% 104.57/104.80 do 1 intro. intros zenon_H2c zenon_H2d.
% 104.57/104.80 generalize (axiom_7 zenon_TY_bg). zenon_intro zenon_H2e.
% 104.57/104.80 generalize (zenon_H2e (i2003_11_14_17_18_54369)). zenon_intro zenon_H2f.
% 104.57/104.80 apply (zenon_equiv_s _ _ zenon_H2f); [ zenon_intro zenon_H31; zenon_intro zenon_H2d | zenon_intro zenon_H2c; zenon_intro zenon_H30 ].
% 104.57/104.80 exact (zenon_H31 zenon_H2c).
% 104.57/104.80 exact (zenon_H2d zenon_H30).
% 104.57/104.80 (* end of lemma zenon_L3_ *)
% 104.57/104.80 assert (zenon_L4_ : forall (zenon_TY_bg : zenon_U), (exists W : zenon_U, ((rs (i2003_11_14_17_18_54369) W)/\(cp W))) -> (forall Z : zenon_U, (((rf (i2003_11_14_17_18_54369) zenon_TY_bg)/\(rf (i2003_11_14_17_18_54369) Z))->(zenon_TY_bg = Z))) -> (rf (i2003_11_14_17_18_54369) zenon_TY_bg) -> (~(rs (i2003_11_14_17_18_54369) zenon_TY_bg)) -> False).
% 104.57/104.80 do 1 intro. intros zenon_H32 zenon_H33 zenon_H1e zenon_H2d.
% 104.57/104.80 elim zenon_H32. zenon_intro zenon_TW_bn. zenon_intro zenon_H34.
% 104.57/104.80 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H25. zenon_intro zenon_H35.
% 104.57/104.80 generalize (rinvS_substitution_1 zenon_TW_bn). zenon_intro zenon_H36.
% 104.57/104.80 generalize (zenon_H36 zenon_TY_bg). zenon_intro zenon_H37.
% 104.57/104.80 generalize (zenon_H33 zenon_TW_bn). zenon_intro zenon_H38.
% 104.57/104.80 apply (zenon_imply_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 104.57/104.80 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H24 | zenon_intro zenon_H3b ].
% 104.57/104.80 exact (zenon_H24 zenon_H1e).
% 104.57/104.80 generalize (axiom_11 (i2003_11_14_17_18_54369)). zenon_intro zenon_H3c.
% 104.57/104.80 generalize (zenon_H3c zenon_TW_bn). zenon_intro zenon_H3d.
% 104.57/104.80 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H2b | zenon_intro zenon_H3e ].
% 104.57/104.80 exact (zenon_H2b zenon_H25).
% 104.57/104.80 exact (zenon_H3b zenon_H3e).
% 104.57/104.80 generalize (zenon_H37 (i2003_11_14_17_18_54369)). zenon_intro zenon_H3f.
% 104.57/104.80 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H40 | zenon_intro zenon_H2c ].
% 104.57/104.80 apply (zenon_notand_s _ _ zenon_H40); [ zenon_intro zenon_H41 | zenon_intro zenon_H26 ].
% 104.57/104.80 apply zenon_H41. apply sym_equal. exact zenon_H39.
% 104.57/104.80 apply (zenon_L2_ zenon_TW_bn); trivial.
% 104.57/104.80 apply (zenon_L3_ zenon_TY_bg); trivial.
% 104.57/104.80 (* end of lemma zenon_L4_ *)
% 104.57/104.80 generalize (axiom_2 (i2003_11_14_17_18_54369)). zenon_intro zenon_H42.
% 104.57/104.80 apply (zenon_equiv_s _ _ zenon_H42); [ zenon_intro zenon_H45; zenon_intro zenon_H44 | zenon_intro axiom_9; zenon_intro zenon_H43 ].
% 104.57/104.80 exact (zenon_H45 axiom_9).
% 104.57/104.80 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H47. zenon_intro zenon_H46.
% 104.57/104.80 elim zenon_H47. zenon_intro zenon_TY_bg. zenon_intro zenon_H48.
% 104.57/104.80 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1e. zenon_intro zenon_H49.
% 104.57/104.80 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4b. zenon_intro zenon_H4a.
% 104.57/104.80 generalize (zenon_H4b (i2003_11_14_17_18_54369)). zenon_intro zenon_H4c.
% 104.57/104.80 apply (zenon_imply_s _ _ zenon_H4c); [ zenon_intro zenon_H31 | zenon_intro zenon_H4d ].
% 104.57/104.82 generalize (axiom_7 zenon_TY_bg). zenon_intro zenon_H2e.
% 104.57/104.82 generalize (zenon_H2e (i2003_11_14_17_18_54369)). zenon_intro zenon_H2f.
% 104.57/104.82 apply (zenon_equiv_s _ _ zenon_H2f); [ zenon_intro zenon_H31; zenon_intro zenon_H2d | zenon_intro zenon_H2c; zenon_intro zenon_H30 ].
% 104.57/104.82 generalize (axiom_3 (i2003_11_14_17_18_54369)). zenon_intro zenon_H4e.
% 104.57/104.82 generalize (zenon_H4e zenon_TY_bg). zenon_intro zenon_H33.
% 104.57/104.82 generalize (zenon_H4a (i2003_11_14_17_18_54369)). zenon_intro zenon_H4f.
% 104.57/104.82 apply (zenon_imply_s _ _ zenon_H4f); [ zenon_intro zenon_H1f | zenon_intro zenon_H32 ].
% 104.57/104.82 apply (zenon_L1_ zenon_TY_bg); trivial.
% 104.57/104.82 apply (zenon_L4_ zenon_TY_bg); trivial.
% 104.57/104.82 exact (zenon_H31 zenon_H2c).
% 104.57/104.82 exact (zenon_H46 zenon_H4d).
% 104.57/104.82 Qed.
% 104.57/104.82 % SZS output end Proof
% 104.57/104.82 (* END-PROOF *)
% 104.57/104.82 nodes searched: 2446438
% 104.57/104.82 max branch formulas: 50571
% 104.57/104.82 proof nodes created: 31168
% 104.57/104.82 formulas created: 5524049
% 104.57/104.82
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