TSTP Solution File: KRS191+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : KRS191+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 03:39:43 EDT 2022
% Result : Theorem 8.86s 9.05s
% Output : Proof 8.86s
% 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 : KRS191+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n024.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 10:32:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 8.86/9.05 (* PROOF-FOUND *)
% 8.86/9.05 % SZS status Theorem
% 8.86/9.05 (* BEGIN-PROOF *)
% 8.86/9.05 % SZS output start Proof
% 8.86/9.05 Theorem isa_wtc_thm : (isa (wtc) (thm)).
% 8.86/9.05 Proof.
% 8.86/9.05 assert (zenon_L1_ : forall (zenon_TI1_bj : zenon_U) (zenon_TC_bk : zenon_U), (forall I2 : zenon_U, (model I2 zenon_TC_bk)) -> (~(model zenon_TI1_bj zenon_TC_bk)) -> False).
% 8.86/9.05 do 2 intro. intros zenon_H21 zenon_H22.
% 8.86/9.05 generalize (zenon_H21 zenon_TI1_bj). zenon_intro zenon_H25.
% 8.86/9.05 exact (zenon_H22 zenon_H25).
% 8.86/9.05 (* end of lemma zenon_L1_ *)
% 8.86/9.05 apply NNPP. intro zenon_G.
% 8.86/9.05 generalize (isa (wtc)). zenon_intro zenon_H26.
% 8.86/9.05 generalize (zenon_H26 (thm)). zenon_intro zenon_H27.
% 8.86/9.05 apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H2a; zenon_intro zenon_G | zenon_intro zenon_H29; zenon_intro zenon_H28 ].
% 8.86/9.05 apply (zenon_notallex_s (fun Ax : zenon_U => (forall C : zenon_U, ((status Ax C (wtc))->(status Ax C (thm))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ].
% 8.86/9.05 elim zenon_H2b. zenon_intro zenon_TAx_bs. zenon_intro zenon_H2d.
% 8.86/9.05 apply (zenon_notallex_s (fun C : zenon_U => ((status zenon_TAx_bs C (wtc))->(status zenon_TAx_bs C (thm)))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ].
% 8.86/9.05 elim zenon_H2e. zenon_intro zenon_TC_bk. zenon_intro zenon_H2f.
% 8.86/9.05 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 8.86/9.05 generalize (wtc zenon_TAx_bs). zenon_intro zenon_H32.
% 8.86/9.05 generalize (thm zenon_TAx_bs). zenon_intro zenon_H33.
% 8.86/9.05 generalize (zenon_H33 zenon_TC_bk). zenon_intro zenon_H34.
% 8.86/9.05 apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_H37; zenon_intro zenon_H30 | zenon_intro zenon_H36; zenon_intro zenon_H35 ].
% 8.86/9.05 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TAx_bs)->(model I1 zenon_TC_bk))) zenon_H37); [ zenon_intro zenon_H38; idtac ].
% 8.86/9.05 elim zenon_H38. zenon_intro zenon_TI1_bj. zenon_intro zenon_H39.
% 8.86/9.05 apply (zenon_notimply_s _ _ zenon_H39). zenon_intro zenon_H3a. zenon_intro zenon_H22.
% 8.86/9.05 generalize (zenon_H32 zenon_TC_bk). zenon_intro zenon_H3b.
% 8.86/9.05 apply (zenon_equiv_s _ _ zenon_H3b); [ zenon_intro zenon_H3e; zenon_intro zenon_H3d | zenon_intro zenon_H3c; zenon_intro zenon_H31 ].
% 8.86/9.05 exact (zenon_H3d zenon_H31).
% 8.86/9.05 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H40. zenon_intro zenon_H3f.
% 8.86/9.05 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H41. zenon_intro zenon_H21.
% 8.86/9.05 apply (zenon_L1_ zenon_TI1_bj zenon_TC_bk); trivial.
% 8.86/9.05 exact (zenon_H30 zenon_H35).
% 8.86/9.05 exact (zenon_G zenon_H28).
% 8.86/9.05 Qed.
% 8.86/9.05 % SZS output end Proof
% 8.86/9.05 (* END-PROOF *)
% 8.86/9.05 nodes searched: 535951
% 8.86/9.05 max branch formulas: 7196
% 8.86/9.05 proof nodes created: 34616
% 8.86/9.05 formulas created: 1172042
% 8.86/9.05
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