TSTP Solution File: KRS070+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : KRS070+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n022.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 0.46s 0.71s
% 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
% 0.11/0.12 % Problem : KRS070+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n022.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 10:30:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/0.71 (* PROOF-FOUND *)
% 0.46/0.71 % SZS status Unsatisfiable
% 0.46/0.71 (* BEGIN-PROOF *)
% 0.46/0.71 % SZS output start Proof
% 0.46/0.71 Theorem zenon_thm : False.
% 0.46/0.71 Proof.
% 0.46/0.71 assert (zenon_L1_ : forall (zenon_TY_bu : zenon_U), (~(rrx (i2003_11_14_17_18_32242) zenon_TY_bu)) -> (rrx3 (i2003_11_14_17_18_32242) zenon_TY_bu) -> False).
% 0.46/0.71 do 1 intro. intros zenon_H2c zenon_H2d.
% 0.46/0.71 generalize (axiom_9 (i2003_11_14_17_18_32242)). zenon_intro zenon_H2f.
% 0.46/0.71 generalize (zenon_H2f zenon_TY_bu). zenon_intro zenon_H30.
% 0.46/0.71 apply (zenon_imply_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 0.46/0.71 exact (zenon_H32 zenon_H2d).
% 0.46/0.71 exact (zenon_H2c zenon_H31).
% 0.46/0.71 (* end of lemma zenon_L1_ *)
% 0.46/0.71 generalize (axiom_2 (i2003_11_14_17_18_32242)). zenon_intro zenon_H33.
% 0.46/0.71 apply (zenon_equiv_s _ _ zenon_H33); [ zenon_intro zenon_H36; zenon_intro zenon_H35 | zenon_intro axiom_8; zenon_intro zenon_H34 ].
% 0.46/0.71 exact (zenon_H36 axiom_8).
% 0.46/0.71 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 0.46/0.71 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39.
% 0.46/0.71 elim zenon_H38. zenon_intro zenon_TY_ch. zenon_intro zenon_H3c.
% 0.46/0.71 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3e. zenon_intro zenon_H3d.
% 0.46/0.71 elim zenon_H39. zenon_intro zenon_TY_bu. zenon_intro zenon_H3f.
% 0.46/0.71 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H2d. zenon_intro zenon_H40.
% 0.46/0.71 apply zenon_H3a. exists zenon_TY_bu. apply NNPP. zenon_intro zenon_H41.
% 0.46/0.71 apply (zenon_notand_s _ _ zenon_H41); [ zenon_intro zenon_H32 | zenon_intro zenon_H42 ].
% 0.46/0.71 exact (zenon_H32 zenon_H2d).
% 0.46/0.71 apply (zenon_notand_s _ _ zenon_H42); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ].
% 0.46/0.71 generalize (cc2_substitution_1 zenon_TY_ch). zenon_intro zenon_H45.
% 0.46/0.71 generalize (zenon_H45 zenon_TY_bu). zenon_intro zenon_H46.
% 0.46/0.71 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 0.46/0.71 apply (zenon_notand_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ].
% 0.46/0.71 generalize (axiom_3 (i2003_11_14_17_18_32242)). zenon_intro zenon_H4b.
% 0.46/0.71 generalize (zenon_H4b zenon_TY_ch). zenon_intro zenon_H4c.
% 0.46/0.71 generalize (zenon_H4c zenon_TY_bu). zenon_intro zenon_H4d.
% 0.46/0.71 apply (zenon_imply_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 0.46/0.71 apply (zenon_notand_s _ _ zenon_H4f); [ zenon_intro zenon_H50 | zenon_intro zenon_H2c ].
% 0.46/0.71 generalize (axiom_16 (i2003_11_14_17_18_32242)). zenon_intro zenon_H51.
% 0.46/0.71 generalize (zenon_H51 zenon_TY_ch). zenon_intro zenon_H52.
% 0.46/0.71 apply (zenon_imply_s _ _ zenon_H52); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ].
% 0.46/0.71 exact (zenon_H54 zenon_H3e).
% 0.46/0.71 exact (zenon_H50 zenon_H53).
% 0.46/0.71 apply (zenon_L1_ zenon_TY_bu); trivial.
% 0.46/0.71 exact (zenon_H4a zenon_H4e).
% 0.46/0.71 exact (zenon_H49 zenon_H3d).
% 0.46/0.71 exact (zenon_H44 zenon_H47).
% 0.46/0.71 exact (zenon_H43 zenon_H40).
% 0.46/0.71 Qed.
% 0.46/0.71 % SZS output end Proof
% 0.46/0.71 (* END-PROOF *)
% 0.46/0.71 nodes searched: 10482
% 0.46/0.71 max branch formulas: 1842
% 0.46/0.71 proof nodes created: 413
% 0.46/0.71 formulas created: 28976
% 0.46/0.71
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