TSTP Solution File: SWV384+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWV384+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n011.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 : Wed Jul 20 23:04:10 EDT 2022
% Result : Theorem 0.46s 0.64s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV384+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n011.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 14 16:59:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.46/0.64 Zenon warning: unused variable (X : zenon_U) in ax47
% 0.46/0.64 Zenon warning: unused variable (X : zenon_U) in ax48
% 0.46/0.64 Zenon warning: unused variable (X : zenon_U) in ax49
% 0.46/0.64 Zenon warning: unused variable (X : zenon_U) in ax51
% 0.46/0.64 (* PROOF-FOUND *)
% 0.46/0.64 % SZS status Theorem
% 0.46/0.64 (* BEGIN-PROOF *)
% 0.46/0.64 % SZS output start Proof
% 0.46/0.64 Theorem l20_co : (forall X1 : zenon_U, (forall X2 : zenon_U, (forall X3 : zenon_U, (((~(check_cpq (triple X1 X2 X3)))\/(~(ok (triple X1 X2 X3))))->(forall X4 : zenon_U, (forall X5 : zenon_U, (forall X6 : zenon_U, ((succ_cpq (triple X1 X2 X3) (triple X4 X5 X6))->((~(ok (triple X4 X5 X6)))\/(~(check_cpq (triple X4 X5 X6)))))))))))).
% 0.46/0.64 Proof.
% 0.46/0.64 apply NNPP. intro zenon_G.
% 0.46/0.64 apply (zenon_imply_s _ _ l20_induction); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ].
% 0.46/0.64 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, ((succ_cpq (triple U V W) (triple X Y Z))->(((~(check_cpq (triple X Y Z)))\/(~(ok (triple X Y Z))))->((~(check_cpq (im_succ_cpq (triple X Y Z))))\/(~(ok (im_succ_cpq (triple X Y Z))))))))))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ].
% 0.46/0.64 elim zenon_H2e. zenon_intro zenon_TU_bv. zenon_intro zenon_H30.
% 0.46/0.64 apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, ((succ_cpq (triple zenon_TU_bv V W) (triple X Y Z))->(((~(check_cpq (triple X Y Z)))\/(~(ok (triple X Y Z))))->((~(check_cpq (im_succ_cpq (triple X Y Z))))\/(~(ok (im_succ_cpq (triple X Y Z)))))))))))) zenon_H30); [ zenon_intro zenon_H31; idtac ].
% 0.46/0.64 elim zenon_H31. zenon_intro zenon_TV_by. zenon_intro zenon_H33.
% 0.46/0.64 apply (zenon_notallex_s (fun W : zenon_U => (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, ((succ_cpq (triple zenon_TU_bv zenon_TV_by W) (triple X Y Z))->(((~(check_cpq (triple X Y Z)))\/(~(ok (triple X Y Z))))->((~(check_cpq (im_succ_cpq (triple X Y Z))))\/(~(ok (im_succ_cpq (triple X Y Z))))))))))) zenon_H33); [ zenon_intro zenon_H34; idtac ].
% 0.46/0.64 elim zenon_H34. zenon_intro zenon_TW_cb. zenon_intro zenon_H36.
% 0.46/0.64 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, ((succ_cpq (triple zenon_TU_bv zenon_TV_by zenon_TW_cb) (triple X Y Z))->(((~(check_cpq (triple X Y Z)))\/(~(ok (triple X Y Z))))->((~(check_cpq (im_succ_cpq (triple X Y Z))))\/(~(ok (im_succ_cpq (triple X Y Z)))))))))) zenon_H36); [ zenon_intro zenon_H37; idtac ].
% 0.46/0.64 elim zenon_H37. zenon_intro zenon_TX_ce. zenon_intro zenon_H39.
% 0.46/0.64 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, ((succ_cpq (triple zenon_TU_bv zenon_TV_by zenon_TW_cb) (triple zenon_TX_ce Y Z))->(((~(check_cpq (triple zenon_TX_ce Y Z)))\/(~(ok (triple zenon_TX_ce Y Z))))->((~(check_cpq (im_succ_cpq (triple zenon_TX_ce Y Z))))\/(~(ok (im_succ_cpq (triple zenon_TX_ce Y Z))))))))) zenon_H39); [ zenon_intro zenon_H3a; idtac ].
% 0.46/0.64 elim zenon_H3a. zenon_intro zenon_TY_ch. zenon_intro zenon_H3c.
% 0.46/0.64 apply (zenon_notallex_s (fun Z : zenon_U => ((succ_cpq (triple zenon_TU_bv zenon_TV_by zenon_TW_cb) (triple zenon_TX_ce zenon_TY_ch Z))->(((~(check_cpq (triple zenon_TX_ce zenon_TY_ch Z)))\/(~(ok (triple zenon_TX_ce zenon_TY_ch Z))))->((~(check_cpq (im_succ_cpq (triple zenon_TX_ce zenon_TY_ch Z))))\/(~(ok (im_succ_cpq (triple zenon_TX_ce zenon_TY_ch Z)))))))) zenon_H3c); [ zenon_intro zenon_H3d; idtac ].
% 0.46/0.64 elim zenon_H3d. zenon_intro zenon_TZ_ck. zenon_intro zenon_H3f.
% 0.46/0.64 apply (zenon_notimply_s _ _ zenon_H3f). zenon_intro zenon_H41. zenon_intro zenon_H40.
% 0.46/0.64 apply (zenon_notimply_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42.
% 0.46/0.64 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44.
% 0.46/0.64 apply zenon_H44. zenon_intro zenon_H46.
% 0.46/0.64 apply zenon_H45. zenon_intro zenon_H47.
% 0.46/0.64 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ].
% 0.46/0.64 generalize (l12_l13 zenon_TX_ce). zenon_intro zenon_H4a.
% 0.46/0.64 generalize (zenon_H4a zenon_TY_ch). zenon_intro zenon_H4b.
% 0.46/0.64 generalize (zenon_H4b zenon_TZ_ck). zenon_intro zenon_H4c.
% 0.46/0.64 apply (zenon_imply_s _ _ zenon_H4c); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ].
% 0.46/0.64 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H50. zenon_intro zenon_H4f.
% 0.46/0.65 exact (zenon_H50 zenon_H49).
% 0.46/0.65 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H52 | zenon_intro zenon_H51 ].
% 0.46/0.65 exact (zenon_H52 zenon_H47).
% 0.46/0.65 exact (zenon_H51 zenon_H46).
% 0.46/0.65 generalize (l12_l13 zenon_TX_ce). zenon_intro zenon_H4a.
% 0.46/0.65 generalize (zenon_H4a zenon_TY_ch). zenon_intro zenon_H4b.
% 0.46/0.65 generalize (zenon_H4b zenon_TZ_ck). zenon_intro zenon_H4c.
% 0.46/0.65 apply (zenon_imply_s _ _ zenon_H4c); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ].
% 0.46/0.65 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H50. zenon_intro zenon_H4f.
% 0.46/0.65 exact (zenon_H4f zenon_H48).
% 0.46/0.65 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H52 | zenon_intro zenon_H51 ].
% 0.46/0.65 exact (zenon_H52 zenon_H47).
% 0.46/0.65 exact (zenon_H51 zenon_H46).
% 0.46/0.65 exact (zenon_G zenon_H2c).
% 0.46/0.65 Qed.
% 0.46/0.65 % SZS output end Proof
% 0.46/0.65 (* END-PROOF *)
% 0.46/0.65 nodes searched: 2340
% 0.46/0.65 max branch formulas: 886
% 0.46/0.65 proof nodes created: 145
% 0.46/0.65 formulas created: 15913
% 0.46/0.65
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