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SuperZenon---0.0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SEV608+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_super_zenon -p0 -itptp -om -max-time %d %s

% Computer : n020.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  : 300s
% DateTime : Tue May  5 06:55:47 PM UTC 2026

% Result   : Theorem 8.57s 8.88s
% Output   : Proof 8.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV608+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.16/0.34  % Computer : n020.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue May  5 05:26:04 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 8.57/8.88  % SZS status Theorem
% 8.57/8.88  (* PROOF-FOUND *)
% 8.57/8.88  (* BEGIN-PROOF *)
% 8.57/8.88  % SZS output start Proof
% 8.57/8.88  1. (-. (All V0__K, ((cCoq_2eInit_2eDatatypes_2enat___24t V0__K) => (All V1__g, ((cColor_2egraph___24t V1__g) => (All V2__n, ((cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t V2__n) => (((cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1 (cColor_2esubset__nodes___24a2 (cColor_2elow__deg___24a1 V0__K) V1__g)) = (cCoq_2eInit_2eDatatypes_2eSome___24a2 (cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt) V2__n)) => (cCoq_2eInit_2ePeano_2elt___24a2 (cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2 (cColor_2enodeset) (cColor_2eremove__node___24a2 V2__n V1__g)) (cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2 (cColor_2enodeset) V1__g)))))))))) (All V0__K, ((cCoq_2eInit_2eDatatypes_2enat___24t V0__K) => (All V1__g, ((cColor_2egraph___24t V1__g) => (All V2__n, ((cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t V2__n) => (((cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1 (cColor_2esubset__nodes___24a2 (cColor_2elow__deg___24a1 V0__K) V1__g)) = (cCoq_2eInit_2eDatatypes_2eSome___24a2 (cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt) V2__n)) => (cCoq_2eInit_2ePeano_2elt___24a2 (cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2 (cColor_2enodeset) (cColor_2eremove__node___24a2 V2__n V1__g)) (cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2 (cColor_2enodeset) V1__g)))))))))   ### Axiom
% 8.57/8.88  % SZS output end Proof
% 8.57/8.88  (* END-PROOF *)
%------------------------------------------------------------------------------