TSTP Solution File: COM141+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : COM141+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n017.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 01:53:24 EDT 2022
% Result : Theorem 0.39s 0.57s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM141+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 16:38:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.39/0.57 (* PROOF-FOUND *)
% 0.39/0.57 % SZS status Theorem
% 0.39/0.57 (* BEGIN-PROOF *)
% 0.39/0.57 % SZS output start Proof
% 0.39/0.57 Theorem T-Weak-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, ((((vlookup Vx VC) = (vnoType))/\(vtcheck VC (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind Vx VS VC) (vabs Vy VS1 (veabs)) VT)))))))).
% 0.39/0.57 Proof.
% 0.39/0.57 apply NNPP. intro zenon_G.
% 0.39/0.57 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, ((((vlookup Vx VC) = (vnoType))/\(vtcheck VC (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind Vx VS VC) (vabs Vy VS1 (veabs)) VT)))))))) zenon_G); [ zenon_intro zenon_H3a; idtac ].
% 0.39/0.57 elim zenon_H3a. zenon_intro zenon_TVx_ch. zenon_intro zenon_H3c.
% 0.39/0.57 apply (zenon_notallex_s (fun VS : zenon_U => (forall VC : zenon_U, (forall Vy : zenon_U, (forall VS1 : zenon_U, (forall VT : zenon_U, ((((vlookup zenon_TVx_ch VC) = (vnoType))/\(vtcheck VC (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind zenon_TVx_ch VS VC) (vabs Vy VS1 (veabs)) VT))))))) zenon_H3c); [ zenon_intro zenon_H3d; idtac ].
% 0.39/0.57 elim zenon_H3d. zenon_intro zenon_TVS_ck. zenon_intro zenon_H3f.
% 0.39/0.57 apply (zenon_notallex_s (fun VC : zenon_U => (forall Vy : zenon_U, (forall VS1 : zenon_U, (forall VT : zenon_U, ((((vlookup zenon_TVx_ch VC) = (vnoType))/\(vtcheck VC (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind zenon_TVx_ch zenon_TVS_ck VC) (vabs Vy VS1 (veabs)) VT)))))) zenon_H3f); [ zenon_intro zenon_H40; idtac ].
% 0.39/0.57 elim zenon_H40. zenon_intro zenon_TVC_cn. zenon_intro zenon_H42.
% 0.39/0.57 apply (zenon_notallex_s (fun Vy : zenon_U => (forall VS1 : zenon_U, (forall VT : zenon_U, ((((vlookup zenon_TVx_ch zenon_TVC_cn) = (vnoType))/\(vtcheck zenon_TVC_cn (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind zenon_TVx_ch zenon_TVS_ck zenon_TVC_cn) (vabs Vy VS1 (veabs)) VT))))) zenon_H42); [ zenon_intro zenon_H43; idtac ].
% 0.39/0.57 elim zenon_H43. zenon_intro zenon_TVy_cq. zenon_intro zenon_H45.
% 0.39/0.57 apply (zenon_notallex_s (fun VS1 : zenon_U => (forall VT : zenon_U, ((((vlookup zenon_TVx_ch zenon_TVC_cn) = (vnoType))/\(vtcheck zenon_TVC_cn (vabs zenon_TVy_cq VS1 (veabs)) VT))->(vtcheck (vbind zenon_TVx_ch zenon_TVS_ck zenon_TVC_cn) (vabs zenon_TVy_cq VS1 (veabs)) VT)))) zenon_H45); [ zenon_intro zenon_H46; idtac ].
% 0.39/0.57 elim zenon_H46. zenon_intro zenon_TVS1_ct. zenon_intro zenon_H48.
% 0.39/0.57 apply (zenon_notallex_s (fun VT : zenon_U => ((((vlookup zenon_TVx_ch zenon_TVC_cn) = (vnoType))/\(vtcheck zenon_TVC_cn (vabs zenon_TVy_cq zenon_TVS1_ct (veabs)) VT))->(vtcheck (vbind zenon_TVx_ch zenon_TVS_ck zenon_TVC_cn) (vabs zenon_TVy_cq zenon_TVS1_ct (veabs)) VT))) zenon_H48); [ zenon_intro zenon_H49; idtac ].
% 0.39/0.57 elim zenon_H49. zenon_intro zenon_TVT_cw. zenon_intro zenon_H4b.
% 0.39/0.57 apply (zenon_notimply_s _ _ zenon_H4b). zenon_intro zenon_H4d. zenon_intro zenon_H4c.
% 0.39/0.57 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e.
% 0.39/0.57 generalize (T-Weak-abs-2 zenon_TVx_ch). zenon_intro zenon_H50.
% 0.39/0.57 generalize (T-Weak-abs-1 zenon_TVx_ch). zenon_intro zenon_H51.
% 0.39/0.57 generalize (zenon_H50 zenon_TVS_ck). zenon_intro zenon_H52.
% 0.39/0.57 generalize (zenon_H51 zenon_TVS_ck). zenon_intro zenon_H53.
% 0.39/0.57 generalize (zenon_H52 zenon_TVC_cn). zenon_intro zenon_H54.
% 0.39/0.57 generalize (zenon_H53 zenon_TVC_cn). zenon_intro zenon_H55.
% 0.39/0.57 generalize (zenon_H54 zenon_TVy_cq). zenon_intro zenon_H56.
% 0.39/0.57 generalize (zenon_H55 zenon_TVy_cq). zenon_intro zenon_H57.
% 0.39/0.57 generalize (zenon_H56 zenon_TVS1_ct). zenon_intro zenon_H58.
% 0.39/0.57 generalize (zenon_H57 zenon_TVS1_ct). zenon_intro zenon_H59.
% 0.39/0.57 generalize (zenon_H58 zenon_TVT_cw). zenon_intro zenon_H5a.
% 0.39/0.57 apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ].
% 0.39/0.57 apply (zenon_notand_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ].
% 0.39/0.57 generalize (zenon_H59 zenon_TVT_cw). zenon_intro zenon_H5f.
% 0.39/0.57 apply (zenon_imply_s _ _ zenon_H5f); [ zenon_intro zenon_H60 | zenon_intro zenon_H5b ].
% 0.39/0.57 apply (zenon_notand_s _ _ zenon_H60); [ zenon_intro zenon_H61 | zenon_intro zenon_H5d ].
% 0.39/0.57 exact (zenon_H61 zenon_H5e).
% 0.39/0.57 apply (zenon_notand_s _ _ zenon_H5d); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ].
% 0.39/0.57 exact (zenon_H63 zenon_H4f).
% 0.39/0.57 exact (zenon_H62 zenon_H4e).
% 0.39/0.57 exact (zenon_H4c zenon_H5b).
% 0.39/0.57 apply (zenon_notand_s _ _ zenon_H5d); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ].
% 0.39/0.57 exact (zenon_H63 zenon_H4f).
% 0.39/0.57 exact (zenon_H62 zenon_H4e).
% 0.39/0.57 exact (zenon_H4c zenon_H5b).
% 0.39/0.57 Qed.
% 0.39/0.57 % SZS output end Proof
% 0.39/0.57 (* END-PROOF *)
% 0.39/0.57 nodes searched: 1222
% 0.39/0.57 max branch formulas: 974
% 0.39/0.57 proof nodes created: 108
% 0.39/0.57 formulas created: 13613
% 0.39/0.57
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