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SATCoP---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SEV677+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n029.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 06:55:04 PM UTC 2026

% Result   : Theorem 132.47s 17.18s
% Output   : Proof 132.96s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    cCoq_2eInit_2eDatatypes_2enat___24t(sK1622),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL')]) ).

cnf(g1,plain,
    ~ cTopology_2eTopologicalSpaces_2eopen___24a2(cX,cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL')]) ).

cnf(g2,plain,
    ( ~ cCoq_2eInit_2eDatatypes_2enat___24t(sK1622)
    | sPE(cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622),cU0)
    | sP138(sK1622) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_UrysohnsLemma.Urysohns_Lemma_construction.Un')]) ).

cnf(g3,plain,
    cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(cX),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_X')]) ).

cnf(g4,plain,
    ( ~ cCoq_2eInit_2eDatatypes_2enat___24t(sK332(sK1622))
    | sPE(cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622),cU1)
    | sP137(sK1622)
    | ~ sP138(sK1622) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_UrysohnsLemma.Urysohns_Lemma_construction.Un')]) ).

cnf(g5,plain,
    ( cCoq_2eInit_2eDatatypes_2enat___24t(sK332(sK1622))
    | ~ sP138(sK1622) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_UrysohnsLemma.Urysohns_Lemma_construction.Un')]) ).

cnf(g6,plain,
    ( ~ sPE(cX,cX)
    | ~ sPE(cU1,cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622))
    | ~ cTopology_2eTopologicalSpaces_2eopen___24a2(cX,cU1)
    | cTopology_2eTopologicalSpaces_2eopen___24a2(cX,cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    cTopology_2eTopologicalSpaces_2eopen___24a2(cX,cU1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p','U1_open')]) ).

cnf(g8,plain,
    ( ~ sPE(cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622),cU1)
    | sPE(cU1,cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ sPE(cX,cX)
    | ~ sPE(cU0,cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622))
    | ~ cTopology_2eTopologicalSpaces_2eopen___24a2(cX,cU0)
    | cTopology_2eTopologicalSpaces_2eopen___24a2(cX,cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    cTopology_2eTopologicalSpaces_2eopen___24a2(cX,cU0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p','U0_open')]) ).

cnf(g11,plain,
    sPE(cX,cX),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622),cU0)
    | sPE(cU0,cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(cX,cX)
    | ~ sPE(cCoq_2eSets_2eEnsembles_2eFull__set___24a1(cTopology_2eTopologicalSpaces_2epoint__set___24a1(cX)),cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622))
    | ~ cTopology_2eTopologicalSpaces_2eopen___24a2(cX,cCoq_2eSets_2eEnsembles_2eFull__set___24a1(cTopology_2eTopologicalSpaces_2epoint__set___24a1(cX)))
    | cTopology_2eTopologicalSpaces_2eopen___24a2(cX,cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(cX)
    | cTopology_2eTopologicalSpaces_2eopen___24a2(cX,cCoq_2eSets_2eEnsembles_2eFull__set___24a1(cTopology_2eTopologicalSpaces_2epoint__set___24a1(cX))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p','Topology.TopologicalSpaces.open_full')]) ).

cnf(g15,plain,
    ( ~ sPE(cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622),cCoq_2eSets_2eEnsembles_2eFull__set___24a1(cTopology_2eTopologicalSpaces_2epoint__set___24a1(cX)))
    | sPE(cCoq_2eSets_2eEnsembles_2eFull__set___24a1(cTopology_2eTopologicalSpaces_2epoint__set___24a1(cX)),cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( sPE(cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(sK1622),cCoq_2eSets_2eEnsembles_2eFull__set___24a1(cTopology_2eTopologicalSpaces_2epoint__set___24a1(cX)))
    | ~ sP137(sK1622) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_UrysohnsLemma.Urysohns_Lemma_construction.Un')]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV677+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13  % Command  : satcop --statistics %s
% 0.16/0.34  % Computer : n029.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 08:22:44 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 132.47/17.18  % symbols: 4182
% 132.47/17.18  % clauses: 10459
% 132.47/17.18  % start clauses: 2
% 132.47/17.18  % iterative deepening steps: 2049
% 132.47/17.18  % maximum path limit: 3
% 132.47/17.18  % literal attempts: 52000802
% 132.47/17.18  % depth failures: 51669232
% 132.47/17.18  % regularity failures: 8190
% 132.47/17.18  % tautology failures: 26460
% 132.47/17.18  % reductions: 189752
% 132.47/17.18  % extensions: 51809192
% 132.47/17.18  % SAT variables: 4293732
% 132.47/17.18  % SAT clauses: 3390384
% 132.47/17.18  % WalkSAT solutions: 3390379
% 132.47/17.18  % CDCL solutions: 1
% 132.47/17.18  % SZS status Theorem for theBenchmark
% 132.47/17.18  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------