TSTP Solution File: COM147+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : COM147+1 : TPTP v8.1.0. Released v6.4.0.
% 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 : Fri Jul 15 01:53:25 EDT 2022
% Result : Theorem 0.38s 0.56s
% Output : Proof 0.38s
% 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 : COM147+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n022.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 19:10:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.38/0.56 (* PROOF-FOUND *)
% 0.38/0.56 % SZS status Theorem
% 0.38/0.56 (* BEGIN-PROOF *)
% 0.38/0.56 % SZS output start Proof
% 0.38/0.56 Theorem T-Progress-T-abs : (forall VTin : zenon_U, (forall Vx : zenon_U, (forall VS : zenon_U, (((vtcheck (vempty) (vabs Vx VS (ve1)) VTin)/\(~(visValue (vabs Vx VS (ve1)))))->(exists Veout : zenon_U, ((vreduce (vabs Vx VS (ve1))) = (vsomeExp Veout))))))).
% 0.38/0.56 Proof.
% 0.38/0.56 apply NNPP. intro zenon_G.
% 0.38/0.56 apply (zenon_notallex_s (fun VTin : zenon_U => (forall Vx : zenon_U, (forall VS : zenon_U, (((vtcheck (vempty) (vabs Vx VS (ve1)) VTin)/\(~(visValue (vabs Vx VS (ve1)))))->(exists Veout : zenon_U, ((vreduce (vabs Vx VS (ve1))) = (vsomeExp Veout))))))) zenon_G); [ zenon_intro zenon_H3a; idtac ].
% 0.38/0.56 elim zenon_H3a. zenon_intro zenon_TVTin_ch. zenon_intro zenon_H3c.
% 0.38/0.56 apply (zenon_notallex_s (fun Vx : zenon_U => (forall VS : zenon_U, (((vtcheck (vempty) (vabs Vx VS (ve1)) zenon_TVTin_ch)/\(~(visValue (vabs Vx VS (ve1)))))->(exists Veout : zenon_U, ((vreduce (vabs Vx VS (ve1))) = (vsomeExp Veout)))))) zenon_H3c); [ zenon_intro zenon_H3d; idtac ].
% 0.38/0.56 elim zenon_H3d. zenon_intro zenon_TVx_ck. zenon_intro zenon_H3f.
% 0.38/0.56 apply (zenon_notallex_s (fun VS : zenon_U => (((vtcheck (vempty) (vabs zenon_TVx_ck VS (ve1)) zenon_TVTin_ch)/\(~(visValue (vabs zenon_TVx_ck VS (ve1)))))->(exists Veout : zenon_U, ((vreduce (vabs zenon_TVx_ck VS (ve1))) = (vsomeExp Veout))))) zenon_H3f); [ zenon_intro zenon_H40; idtac ].
% 0.38/0.56 elim zenon_H40. zenon_intro zenon_TVS_cn. zenon_intro zenon_H42.
% 0.38/0.56 apply (zenon_notimply_s _ _ zenon_H42). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 0.38/0.56 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H46. zenon_intro zenon_H45.
% 0.38/0.56 generalize (isValue0 zenon_TVx_ck). zenon_intro zenon_H47.
% 0.38/0.56 generalize (zenon_H47 zenon_TVS_cn). zenon_intro zenon_H48.
% 0.38/0.56 generalize (zenon_H48 (ve1)). zenon_intro zenon_H49.
% 0.38/0.56 generalize (zenon_H49 (vabs zenon_TVx_ck zenon_TVS_cn (ve1))). zenon_intro zenon_H4a.
% 0.38/0.56 apply (zenon_imply_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ].
% 0.38/0.56 apply zenon_H4c. apply refl_equal.
% 0.38/0.56 exact (zenon_H45 zenon_H4b).
% 0.38/0.56 Qed.
% 0.38/0.56 % SZS output end Proof
% 0.38/0.56 (* END-PROOF *)
% 0.38/0.56 nodes searched: 828
% 0.38/0.56 max branch formulas: 834
% 0.38/0.56 proof nodes created: 41
% 0.38/0.56 formulas created: 12058
% 0.38/0.56
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