TSTP Solution File: KRS109+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : KRS109+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 03:39:28 EDT 2022
% Result : Unsatisfiable 0.49s 0.68s
% Output : Proof 0.49s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS109+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n027.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 13:55:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.49/0.68 (* PROOF-FOUND *)
% 0.49/0.68 % SZS status Unsatisfiable
% 0.49/0.68 (* BEGIN-PROOF *)
% 0.49/0.68 % SZS output start Proof
% 0.49/0.68 Theorem zenon_thm : False.
% 0.49/0.68 Proof.
% 0.49/0.68 assert (zenon_L1_ : forall (zenon_TY_bp : zenon_U), (rf (i2003_11_14_17_21_08508) zenon_TY_bp) -> (~(rinvF zenon_TY_bp (i2003_11_14_17_21_08508))) -> False).
% 0.49/0.68 do 1 intro. intros zenon_H27 zenon_H28.
% 0.49/0.68 generalize (axiom_9 zenon_TY_bp). zenon_intro zenon_H2a.
% 0.49/0.68 generalize (zenon_H2a (i2003_11_14_17_21_08508)). zenon_intro zenon_H2b.
% 0.49/0.68 apply (zenon_equiv_s _ _ zenon_H2b); [ zenon_intro zenon_H28; zenon_intro zenon_H2d | zenon_intro zenon_H2c; zenon_intro zenon_H27 ].
% 0.49/0.68 exact (zenon_H2d zenon_H27).
% 0.49/0.68 exact (zenon_H28 zenon_H2c).
% 0.49/0.68 (* end of lemma zenon_L1_ *)
% 0.49/0.68 assert (zenon_L2_ : forall (zenon_TY_bp : zenon_U), (ca_Vx3 (i2003_11_14_17_21_08508)) -> (~(rs (i2003_11_14_17_21_08508) zenon_TY_bp)) -> (rf (i2003_11_14_17_21_08508) zenon_TY_bp) -> (forall Y : zenon_U, (forall Z : zenon_U, (((rf (i2003_11_14_17_21_08508) Y)/\(rf (i2003_11_14_17_21_08508) Z))->(Y = Z)))) -> False).
% 0.49/0.68 do 1 intro. intros zenon_H2e zenon_H2f zenon_H27 zenon_H30.
% 0.49/0.68 generalize (axiom_6 (i2003_11_14_17_21_08508)). zenon_intro zenon_H31.
% 0.49/0.68 apply (zenon_equiv_s _ _ zenon_H31); [ zenon_intro zenon_H34; zenon_intro zenon_H33 | zenon_intro zenon_H2e; zenon_intro zenon_H32 ].
% 0.49/0.68 exact (zenon_H34 zenon_H2e).
% 0.49/0.68 elim zenon_H32. zenon_intro zenon_TY_cb. zenon_intro zenon_H36.
% 0.49/0.68 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 0.49/0.68 generalize (rs_substitution_2 zenon_TY_cb). zenon_intro zenon_H39.
% 0.49/0.68 generalize (zenon_H30 zenon_TY_cb). zenon_intro zenon_H3a.
% 0.49/0.68 generalize (zenon_H39 zenon_TY_bp). zenon_intro zenon_H3b.
% 0.49/0.68 generalize (zenon_H3a zenon_TY_bp). zenon_intro zenon_H3c.
% 0.49/0.68 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 0.49/0.68 apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H3f | zenon_intro zenon_H2d ].
% 0.49/0.68 generalize (axiom_14 (i2003_11_14_17_21_08508)). zenon_intro zenon_H40.
% 0.49/0.68 generalize (zenon_H40 zenon_TY_cb). zenon_intro zenon_H41.
% 0.49/0.68 apply (zenon_imply_s _ _ zenon_H41); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ].
% 0.49/0.68 exact (zenon_H43 zenon_H38).
% 0.49/0.68 exact (zenon_H3f zenon_H42).
% 0.49/0.68 exact (zenon_H2d zenon_H27).
% 0.49/0.68 generalize (zenon_H3b (i2003_11_14_17_21_08508)). zenon_intro zenon_H44.
% 0.49/0.68 apply (zenon_imply_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ].
% 0.49/0.68 apply (zenon_notand_s _ _ zenon_H46); [ zenon_intro zenon_H47 | zenon_intro zenon_H43 ].
% 0.49/0.68 exact (zenon_H47 zenon_H3d).
% 0.49/0.68 exact (zenon_H43 zenon_H38).
% 0.49/0.68 exact (zenon_H2f zenon_H45).
% 0.49/0.68 (* end of lemma zenon_L2_ *)
% 0.49/0.68 assert (zenon_L3_ : (cp (i2003_11_14_17_21_08508)) -> (exists Y : zenon_U, (ra_Px1 (i2003_11_14_17_21_08508) Y)) -> False).
% 0.49/0.68 do 0 intro. intros zenon_H48 zenon_H49.
% 0.49/0.68 generalize (axiom_3 (i2003_11_14_17_21_08508)). zenon_intro zenon_H4a.
% 0.49/0.68 apply (zenon_equiv_s _ _ zenon_H4a); [ zenon_intro zenon_H4d; zenon_intro zenon_H4c | zenon_intro zenon_H48; zenon_intro zenon_H4b ].
% 0.49/0.68 exact (zenon_H4d zenon_H48).
% 0.49/0.68 exact (zenon_H4b zenon_H49).
% 0.49/0.68 (* end of lemma zenon_L3_ *)
% 0.49/0.68 generalize (axiom_2 (i2003_11_14_17_21_08508)). zenon_intro zenon_H4e.
% 0.49/0.68 apply (zenon_equiv_s _ _ zenon_H4e); [ zenon_intro zenon_H51; zenon_intro zenon_H50 | zenon_intro axiom_13; zenon_intro zenon_H4f ].
% 0.49/0.68 exact (zenon_H51 axiom_13).
% 0.49/0.68 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H53. zenon_intro zenon_H52.
% 0.49/0.68 generalize (axiom_4 (i2003_11_14_17_21_08508)). zenon_intro zenon_H54.
% 0.49/0.68 apply (zenon_equiv_s _ _ zenon_H54); [ zenon_intro zenon_H55; zenon_intro zenon_H4b | zenon_intro zenon_H53; zenon_intro zenon_H49 ].
% 0.49/0.68 exact (zenon_H55 zenon_H53).
% 0.49/0.68 elim zenon_H52. zenon_intro zenon_TY_bp. zenon_intro zenon_H56.
% 0.49/0.68 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H27. zenon_intro zenon_H57.
% 0.49/0.68 generalize (axiom_5 zenon_TY_bp). zenon_intro zenon_H58.
% 0.49/0.68 apply (zenon_equiv_s _ _ zenon_H58); [ zenon_intro zenon_H5b; zenon_intro zenon_H5a | zenon_intro zenon_H57; zenon_intro zenon_H59 ].
% 0.49/0.68 exact (zenon_H5b zenon_H57).
% 0.49/0.68 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H5d. zenon_intro zenon_H5c.
% 0.49/0.68 generalize (axiom_7 (i2003_11_14_17_21_08508)). zenon_intro zenon_H30.
% 0.49/0.68 generalize (zenon_H5d (i2003_11_14_17_21_08508)). zenon_intro zenon_H5e.
% 0.49/0.68 apply (zenon_imply_s _ _ zenon_H5e); [ zenon_intro zenon_H5f | zenon_intro zenon_H48 ].
% 0.49/0.68 generalize (axiom_11 zenon_TY_bp). zenon_intro zenon_H60.
% 0.49/0.68 generalize (zenon_H60 (i2003_11_14_17_21_08508)). zenon_intro zenon_H61.
% 0.49/0.68 apply (zenon_equiv_s _ _ zenon_H61); [ zenon_intro zenon_H5f; zenon_intro zenon_H2f | zenon_intro zenon_H62; zenon_intro zenon_H45 ].
% 0.49/0.68 generalize (zenon_H5c (i2003_11_14_17_21_08508)). zenon_intro zenon_H63.
% 0.49/0.68 apply (zenon_imply_s _ _ zenon_H63); [ zenon_intro zenon_H28 | zenon_intro zenon_H2e ].
% 0.49/0.68 apply (zenon_L1_ zenon_TY_bp); trivial.
% 0.49/0.68 apply (zenon_L2_ zenon_TY_bp); trivial.
% 0.49/0.68 exact (zenon_H5f zenon_H62).
% 0.49/0.68 apply (zenon_L3_); trivial.
% 0.49/0.68 Qed.
% 0.49/0.68 % SZS output end Proof
% 0.49/0.68 (* END-PROOF *)
% 0.49/0.68 nodes searched: 10302
% 0.49/0.68 max branch formulas: 2718
% 0.49/0.68 proof nodes created: 675
% 0.49/0.68 formulas created: 39975
% 0.49/0.68
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