TSTP Solution File: COM125+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : COM125+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n010.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 : Fri Jul 15 01:53:20 EDT 2022
% Result : Theorem 0.18s 0.56s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COM125+1 : TPTP v8.1.0. Released v6.4.0.
% 0.10/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n010.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 : Thu Jun 16 18:08:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.56 (* PROOF-FOUND *)
% 0.18/0.56 % SZS status Theorem
% 0.18/0.56 (* BEGIN-PROOF *)
% 0.18/0.56 % SZS output start Proof
% 0.18/0.56 Theorem T-Weak-FreeVar-abs : (forall Vx : zenon_U, (forall VS : zenon_U, (forall VC : zenon_U, (forall Vy : zenon_U, (forall VS1 : zenon_U, (forall VT : zenon_U, (((~(visFreeVar Vx (vabs Vy VS1 (veabs))))/\(vtcheck VC (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind Vx VS VC) (vabs Vy VS1 (veabs)) VT)))))))).
% 0.18/0.56 Proof.
% 0.18/0.56 apply NNPP. intro zenon_G.
% 0.18/0.56 apply (zenon_notallex_s (fun Vx : zenon_U => (forall VS : zenon_U, (forall VC : zenon_U, (forall Vy : zenon_U, (forall VS1 : zenon_U, (forall VT : zenon_U, (((~(visFreeVar Vx (vabs Vy VS1 (veabs))))/\(vtcheck VC (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind Vx VS VC) (vabs Vy VS1 (veabs)) VT)))))))) zenon_G); [ zenon_intro zenon_H3c; idtac ].
% 0.18/0.56 elim zenon_H3c. zenon_intro zenon_TVx_cj. zenon_intro zenon_H3e.
% 0.18/0.56 apply (zenon_notallex_s (fun VS : zenon_U => (forall VC : zenon_U, (forall Vy : zenon_U, (forall VS1 : zenon_U, (forall VT : zenon_U, (((~(visFreeVar zenon_TVx_cj (vabs Vy VS1 (veabs))))/\(vtcheck VC (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind zenon_TVx_cj VS VC) (vabs Vy VS1 (veabs)) VT))))))) zenon_H3e); [ zenon_intro zenon_H3f; idtac ].
% 0.18/0.56 elim zenon_H3f. zenon_intro zenon_TVS_cm. zenon_intro zenon_H41.
% 0.18/0.56 apply (zenon_notallex_s (fun VC : zenon_U => (forall Vy : zenon_U, (forall VS1 : zenon_U, (forall VT : zenon_U, (((~(visFreeVar zenon_TVx_cj (vabs Vy VS1 (veabs))))/\(vtcheck VC (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind zenon_TVx_cj zenon_TVS_cm VC) (vabs Vy VS1 (veabs)) VT)))))) zenon_H41); [ zenon_intro zenon_H42; idtac ].
% 0.18/0.56 elim zenon_H42. zenon_intro zenon_TVC_cp. zenon_intro zenon_H44.
% 0.18/0.56 apply (zenon_notallex_s (fun Vy : zenon_U => (forall VS1 : zenon_U, (forall VT : zenon_U, (((~(visFreeVar zenon_TVx_cj (vabs Vy VS1 (veabs))))/\(vtcheck zenon_TVC_cp (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind zenon_TVx_cj zenon_TVS_cm zenon_TVC_cp) (vabs Vy VS1 (veabs)) VT))))) zenon_H44); [ zenon_intro zenon_H45; idtac ].
% 0.18/0.56 elim zenon_H45. zenon_intro zenon_TVy_cs. zenon_intro zenon_H47.
% 0.18/0.56 apply (zenon_notallex_s (fun VS1 : zenon_U => (forall VT : zenon_U, (((~(visFreeVar zenon_TVx_cj (vabs zenon_TVy_cs VS1 (veabs))))/\(vtcheck zenon_TVC_cp (vabs zenon_TVy_cs VS1 (veabs)) VT))->(vtcheck (vbind zenon_TVx_cj zenon_TVS_cm zenon_TVC_cp) (vabs zenon_TVy_cs VS1 (veabs)) VT)))) zenon_H47); [ zenon_intro zenon_H48; idtac ].
% 0.18/0.56 elim zenon_H48. zenon_intro zenon_TVS1_cv. zenon_intro zenon_H4a.
% 0.18/0.56 apply (zenon_notallex_s (fun VT : zenon_U => (((~(visFreeVar zenon_TVx_cj (vabs zenon_TVy_cs zenon_TVS1_cv (veabs))))/\(vtcheck zenon_TVC_cp (vabs zenon_TVy_cs zenon_TVS1_cv (veabs)) VT))->(vtcheck (vbind zenon_TVx_cj zenon_TVS_cm zenon_TVC_cp) (vabs zenon_TVy_cs zenon_TVS1_cv (veabs)) VT))) zenon_H4a); [ zenon_intro zenon_H4b; idtac ].
% 0.18/0.56 elim zenon_H4b. zenon_intro zenon_TVT_cy. zenon_intro zenon_H4d.
% 0.18/0.56 apply (zenon_notimply_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 0.18/0.56 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 0.18/0.56 generalize (T-Weak-FreeVar-abs-2 zenon_TVx_cj). zenon_intro zenon_H52.
% 0.18/0.56 generalize (T-Weak-FreeVar-abs-1 zenon_TVx_cj). zenon_intro zenon_H53.
% 0.18/0.56 generalize (zenon_H52 zenon_TVS_cm). zenon_intro zenon_H54.
% 0.18/0.56 generalize (zenon_H54 zenon_TVC_cp). zenon_intro zenon_H55.
% 0.18/0.56 generalize (zenon_H53 zenon_TVS_cm). zenon_intro zenon_H56.
% 0.18/0.56 generalize (zenon_H55 zenon_TVy_cs). zenon_intro zenon_H57.
% 0.18/0.56 generalize (zenon_H56 zenon_TVC_cp). zenon_intro zenon_H58.
% 0.18/0.56 generalize (zenon_H57 zenon_TVS1_cv). zenon_intro zenon_H59.
% 0.18/0.56 generalize (zenon_H58 zenon_TVy_cs). zenon_intro zenon_H5a.
% 0.18/0.56 generalize (zenon_H59 zenon_TVT_cy). zenon_intro zenon_H5b.
% 0.18/0.56 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_H5d | zenon_intro zenon_H5c ].
% 0.18/0.56 apply (zenon_notand_s _ _ zenon_H5d); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ].
% 0.18/0.56 generalize (zenon_H5a zenon_TVS1_cv). zenon_intro zenon_H60.
% 0.18/0.56 generalize (zenon_H60 zenon_TVT_cy). zenon_intro zenon_H61.
% 0.18/0.56 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H62 | zenon_intro zenon_H5c ].
% 0.18/0.56 apply (zenon_notand_s _ _ zenon_H62); [ zenon_intro zenon_H63 | zenon_intro zenon_H5e ].
% 0.18/0.56 exact (zenon_H63 zenon_H5f).
% 0.18/0.56 apply (zenon_notand_s _ _ zenon_H5e); [ zenon_intro zenon_H65 | zenon_intro zenon_H64 ].
% 0.18/0.56 exact (zenon_H65 zenon_H51).
% 0.18/0.56 exact (zenon_H64 zenon_H50).
% 0.18/0.56 exact (zenon_H4e zenon_H5c).
% 0.18/0.56 apply (zenon_notand_s _ _ zenon_H5e); [ zenon_intro zenon_H65 | zenon_intro zenon_H64 ].
% 0.18/0.56 exact (zenon_H65 zenon_H51).
% 0.18/0.56 exact (zenon_H64 zenon_H50).
% 0.18/0.56 exact (zenon_H4e zenon_H5c).
% 0.18/0.56 Qed.
% 0.18/0.56 % SZS output end Proof
% 0.18/0.56 (* END-PROOF *)
% 0.18/0.56 nodes searched: 1497
% 0.18/0.56 max branch formulas: 1093
% 0.18/0.56 proof nodes created: 135
% 0.18/0.56 formulas created: 15535
% 0.18/0.56
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