TSTP Solution File: SWV386+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWV386+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Wed Jul 20 23:04:10 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV386+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % 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 : Wed Jun 15 17:36:17 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.55 Zenon warning: unused variable (X : zenon_U) in ax47
% 0.20/0.55 Zenon warning: unused variable (X : zenon_U) in ax48
% 0.20/0.55 Zenon warning: unused variable (X : zenon_U) in ax49
% 0.20/0.55 Zenon warning: unused variable (X : zenon_U) in ax51
% 0.20/0.55 (* PROOF-FOUND *)
% 0.20/0.55 % SZS status Theorem
% 0.20/0.55 (* BEGIN-PROOF *)
% 0.20/0.55 % SZS output start Proof
% 0.20/0.55 Theorem l22_co : (forall U : zenon_U, (forall V : zenon_U, (forall W : zenon_U, ((~(check_cpq (triple U V W)))->(forall X : zenon_U, ((~(check_cpq (insert_cpq (triple U V W) X)))\/(~(ok (insert_cpq (triple U V W) X))))))))).
% 0.20/0.55 Proof.
% 0.20/0.55 apply NNPP. intro zenon_G.
% 0.20/0.55 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, ((~(check_cpq (triple U V W)))->(forall X : zenon_U, ((~(check_cpq (insert_cpq (triple U V W) X)))\/(~(ok (insert_cpq (triple U V W) X))))))))) zenon_G); [ zenon_intro zenon_H2b; idtac ].
% 0.20/0.55 elim zenon_H2b. zenon_intro zenon_TU_bs. zenon_intro zenon_H2d.
% 0.20/0.55 apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, ((~(check_cpq (triple zenon_TU_bs V W)))->(forall X : zenon_U, ((~(check_cpq (insert_cpq (triple zenon_TU_bs V W) X)))\/(~(ok (insert_cpq (triple zenon_TU_bs V W) X)))))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ].
% 0.20/0.55 elim zenon_H2e. zenon_intro zenon_TV_bv. zenon_intro zenon_H30.
% 0.20/0.55 apply (zenon_notallex_s (fun W : zenon_U => ((~(check_cpq (triple zenon_TU_bs zenon_TV_bv W)))->(forall X : zenon_U, ((~(check_cpq (insert_cpq (triple zenon_TU_bs zenon_TV_bv W) X)))\/(~(ok (insert_cpq (triple zenon_TU_bs zenon_TV_bv W) X))))))) zenon_H30); [ zenon_intro zenon_H31; idtac ].
% 0.20/0.55 elim zenon_H31. zenon_intro zenon_TW_by. zenon_intro zenon_H33.
% 0.20/0.55 apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.20/0.55 apply (zenon_notallex_s (fun X : zenon_U => ((~(check_cpq (insert_cpq (triple zenon_TU_bs zenon_TV_bv zenon_TW_by) X)))\/(~(ok (insert_cpq (triple zenon_TU_bs zenon_TV_bv zenon_TW_by) X))))) zenon_H34); [ zenon_intro zenon_H36; idtac ].
% 0.20/0.55 elim zenon_H36. zenon_intro zenon_TX_cd. zenon_intro zenon_H38.
% 0.20/0.55 apply (zenon_notor_s _ _ zenon_H38). zenon_intro zenon_H3a. zenon_intro zenon_H39.
% 0.20/0.55 apply zenon_H3a. zenon_intro zenon_H3b.
% 0.20/0.55 generalize (l22_l26 zenon_TU_bs). zenon_intro zenon_H3c.
% 0.20/0.55 generalize (zenon_H3c zenon_TV_bv). zenon_intro zenon_H3d.
% 0.20/0.55 generalize (zenon_H3d zenon_TW_by). zenon_intro zenon_H3e.
% 0.20/0.55 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 0.20/0.55 exact (zenon_H40 zenon_H35).
% 0.20/0.55 generalize (zenon_H3f zenon_TX_cd). zenon_intro zenon_H41.
% 0.20/0.55 exact (zenon_H41 zenon_H3b).
% 0.20/0.55 Qed.
% 0.20/0.55 % SZS output end Proof
% 0.20/0.55 (* END-PROOF *)
% 0.20/0.55 nodes searched: 814
% 0.20/0.55 max branch formulas: 548
% 0.20/0.55 proof nodes created: 57
% 0.20/0.55 formulas created: 7241
% 0.20/0.55
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