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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : COM261_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:11:49 PM UTC 2026

% Result   : Theorem 35.36s 10.75s
% Output   : CNFRefutation 35.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  143 ( 102 unt;   0 typ;   0 def)
%            Number of atoms       :  207 ( 186 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  100 (  36   ~;  50   |;   8   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :   18 (  17 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   46 (  46 usr;  15 con; 0-3 aty)
%            Number of variables   :  272 (   0 sgn 267   !;   5   ?; 272   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,type,
    vAval: $tType ).

tff(decl_sort2,type,
    vExp: $tType ).

tff(decl_sort3,type,
    vQMap: $tType ).

tff(decl_sort4,type,
    vQID: $tType ).

tff(decl_sort5,type,
    vLabel: $tType ).

tff(decl_sort6,type,
    vAType: $tType ).

tff(decl_sort7,type,
    vEntry: $tType ).

tff(decl_sort8,type,
    vMapConf: $tType ).

tff(decl_sort9,type,
    vQuestionnaire: $tType ).

tff(decl_sort10,type,
    vnat: $tType ).

tff(decl_sort11,type,
    vOptAType: $tType ).

tff(decl_sort12,type,
    vYN: $tType ).

tff(decl_sort13,type,
    vstring: $tType ).

tff(decl_sort14,type,
    vAnsMap: $tType ).

tff(decl_sort15,type,
    vQConf: $tType ).

tff(decl_sort16,type,
    vOptQConf: $tType ).

tff(decl_sort17,type,
    vATMap: $tType ).

tff(decl_25,type,
    vquestion: ( vAType * ( vLabel * vQID ) ) > vEntry ).

tff(decl_32,type,
    vNum: vnat > vAval ).

tff(decl_35,type,
    vT: vstring > vAval ).

tff(decl_36,type,
    vNumber: vAType ).

tff(decl_40,type,
    vabind: ( vAnsMap * ( vAval * vQID ) ) > vAnsMap ).

tff(decl_42,type,
    vYesNo: vAType ).

tff(decl_50,type,
    vqempty: vQuestionnaire ).

tff(decl_51,type,
    vsomeQConf: vQConf > vOptQConf ).

tff(decl_55,type,
    vB: vYN > vAval ).

tff(decl_56,type,
    vQC: ( vQuestionnaire * ( vQMap * vAnsMap ) ) > vQConf ).

tff(decl_60,type,
    vText: vAType ).

tff(decl_62,type,
    vqsingle: vEntry > vQuestionnaire ).

tff(decl_63,type,
    vMC: ( vATMap * vATMap ) > vMapConf ).

tff(decl_67,type,
    vqvar: vQID > vExp ).

tff(decl_69,type,
    vatmbind: ( vATMap * ( vAType * vQID ) ) > vATMap ).

tff(decl_74,type,
    vsomeAType: vAType > vOptAType ).

tff(decl_77,type,
    vatmempty: vATMap ).

tff(decl_80,type,
    vgetAnswer: ( vAType * vLabel ) > vAval ).

tff(decl_81,type,
    vecheck: ( vExp * vATMap ) > vOptAType ).

tff(decl_82,type,
    vgetAM: vQConf > vAnsMap ).

tff(decl_84,type,
    vaskText: vLabel > vstring ).

tff(decl_86,type,
    vtypeOf: vAval > vAType ).

tff(decl_88,type,
    vgetQM: vQConf > vQMap ).

tff(decl_92,type,
    vaskYesNo: vLabel > vYN ).

tff(decl_94,type,
    vtypeAM: vAnsMap > vATMap ).

tff(decl_96,type,
    vaskNumber: vLabel > vnat ).

tff(decl_103,type,
    vlookupATMap: ( vATMap * vQID ) > vOptAType ).

tff(decl_109,type,
    vgetQuest: vQConf > vQuestionnaire ).

tff(decl_113,type,
    vreduce: ( vQMap * ( vAnsMap * vQuestionnaire ) ) > vOptQConf ).

tff(decl_117,type,
    vtypeQM: vQMap > vATMap ).

tff(decl_130,type,
    vptcheck: ( vMapConf * ( vQuestionnaire * vMapConf ) ) > $o ).

tff(decl_135,type,
    vgetAType: vOptAType > vAType ).

tff(decl_177,type,
    esk15_1: vMapConf > vATMap ).

tff(decl_178,type,
    esk16_1: vMapConf > vATMap ).

tff(decl_209,type,
    esk47_1: vATMap > vQID ).

tff(decl_210,type,
    esk48_1: vATMap > vAType ).

tff(decl_211,type,
    esk49_1: vATMap > vATMap ).

tff(decl_398,type,
    esk236_0: vATMap ).

tff(decl_399,type,
    esk237_0: vQuestionnaire ).

tff(decl_400,type,
    esk238_0: vQMap ).

tff(decl_401,type,
    esk239_0: vAType ).

tff(decl_402,type,
    esk240_0: vAnsMap ).

tff(decl_403,type,
    esk241_0: vLabel ).

tff(decl_404,type,
    esk242_0: vATMap ).

tff(decl_405,type,
    esk243_0: vAnsMap ).

tff(decl_406,type,
    esk244_0: vQMap ).

tff(decl_407,type,
    esk245_0: vQID ).

tff('EQ-someQConf',axiom,
    ! [X44: vQConf,X45: vQConf] :
      ( ( vsomeQConf(X44) = vsomeQConf(X45) )
     => ( X44 = X45 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','EQ-someQConf') ).

tff('reduce-1',axiom,
    ! [X150: vQMap,X274: vAType,X72: vLabel,X126: vAnsMap,X71: vQID] : ( vreduce(vqsingle(vquestion(X71,X72,X274)),X126,X150) = vsomeQConf(vQC(vabind(X71,vgetAnswer(X72,X274),X126),X150,vqempty)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reduce-1') ).

tff('Preservation-qsingle-question',conjecture,
    ! [X500: vATMap,X501: vQuestionnaire,X150: vQMap,X274: vAType,X372: vAnsMap,X72: vLabel,X357: vATMap,X126: vAnsMap,X375: vQMap,X71: vQID] :
      ( ( ( vreduce(vqsingle(vquestion(X71,X72,X274)),X126,X150) = vsomeQConf(vQC(X372,X375,X501)) )
        & vptcheck(vMC(vtypeAM(X126),vtypeQM(X150)),vqsingle(vquestion(X71,X72,X274)),vMC(X357,X500)) )
     => vptcheck(vMC(vtypeAM(X372),vtypeQM(X375)),X501,vMC(X357,X500)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Preservation-qsingle-question') ).

tff('getQM-0',axiom,
    ! [X149: vAnsMap,X150: vQMap,X151: vQuestionnaire] : ( vgetQM(vQC(X149,X150,X151)) = X150 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getQM-0') ).

tff('getQuest-0',axiom,
    ! [X155: vAnsMap,X156: vQMap,X157: vQuestionnaire] : ( vgetQuest(vQC(X155,X156,X157)) = X157 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getQuest-0') ).

tff('EQ-atmbind',axiom,
    ! [X6: vQID,X16: vATMap,X15: vATMap,X4: vAType,X2: vQID,X8: vAType] :
      ( ( vatmbind(X2,X4,X15) = vatmbind(X6,X8,X16) )
     => ( ( X15 = X16 )
        & ( X4 = X8 )
        & ( X2 = X6 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','EQ-atmbind') ).

tff('dom-ATMap',axiom,
    ! [X62: vATMap] :
      ( ? [X2: vQID,X4: vAType,X15: vATMap] : ( X62 = vatmbind(X2,X4,X15) )
      | ( X62 = vatmempty ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dom-ATMap') ).

tff('DIFF-atmempty-atmbind',axiom,
    ! [X2: vQID,X4: vAType,X15: vATMap] : ( vatmempty != vatmbind(X2,X4,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-atmempty-atmbind') ).

tff('Tquestion_inv2',axiom,
    ! [X434: vATMap,X355: vATMap,X435: vATMap,X73: vAType,X72: vLabel,X357: vATMap,X71: vQID] :
      ( vptcheck(vMC(X355,X434),vqsingle(vquestion(X71,X72,X73)),vMC(X357,X435))
     => ( X357 = vatmbind(X71,X73,X355) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Tquestion_inv2') ).

tff('getAM-0',axiom,
    ! [X126: vAnsMap,X145: vQMap,X146: vQuestionnaire] : ( vgetAM(vQC(X126,X145,X146)) = X126 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getAM-0') ).

tff('Tquestion_inv3',axiom,
    ! [X436: vATMap,X355: vATMap,X437: vATMap,X73: vAType,X72: vLabel,X357: vATMap,X71: vQID] :
      ( vptcheck(vMC(X355,X436),vqsingle(vquestion(X71,X72,X73)),vMC(X357,X437))
     => ( X437 = X436 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Tquestion_inv3') ).

tff('dom-AType',axiom,
    ! [X19: vAType] :
      ( ( X19 = vText )
      | ( X19 = vNumber )
      | ( X19 = vYesNo ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dom-AType') ).

tff('typeAM-1',axiom,
    ! [X71: vQID,X76: vAval,X372: vAnsMap] : ( vtypeAM(vabind(X71,X76,X372)) = vatmbind(X71,vtypeOf(X76),vtypeAM(X372)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','typeAM-1') ).

tff('typeOf-2',axiom,
    ! [X106: vstring] : ( vtypeOf(vT(X106)) = vText ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','typeOf-2') ).

tff('getAnswer-2',axiom,
    ! [X72: vLabel] : ( vgetAnswer(X72,vText) = vT(vaskText(X72)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getAnswer-2') ).

tff('DIFF-YesNo-Text',axiom,
    vYesNo != vText,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-YesNo-Text') ).

tff('DIFF-Number-Text',axiom,
    vNumber != vText,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-Number-Text') ).

tff('lookupATMap-1',axiom,
    ! [X291: vQID,X73: vAType,X349: vATMap] : ( vlookupATMap(X291,vatmbind(X291,X73,X349)) = vsomeAType(X73) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lookupATMap-1') ).

tff('echeck-3',axiom,
    ! [X355: vATMap,X71: vQID] : ( vecheck(X355,vqvar(X71)) = vlookupATMap(X71,X355) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','echeck-3') ).

tff('Tqempty',axiom,
    ! [X355: vATMap,X413: vATMap] : vptcheck(vMC(X355,X413),vqempty,vMC(X355,X413)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Tqempty') ).

tff('dom-MapConf',axiom,
    ! [X14: vMapConf] :
    ? [X15: vATMap,X16: vATMap] : ( X14 = vMC(X15,X16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dom-MapConf') ).

tff('getAType-0',axiom,
    ! [X70: vAType] : ( vgetAType(vsomeAType(X70)) = X70 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getAType-0') ).

tff('typeOf-0',axiom,
    ! [X78: vYN] : ( vtypeOf(vB(X78)) = vYesNo ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','typeOf-0') ).

tff('getAnswer-0',axiom,
    ! [X72: vLabel] : ( vgetAnswer(X72,vYesNo) = vB(vaskYesNo(X72)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getAnswer-0') ).

tff('typeOf-1',axiom,
    ! [X105: vnat] : ( vtypeOf(vNum(X105)) = vNumber ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','typeOf-1') ).

tff('getAnswer-1',axiom,
    ! [X72: vLabel] : ( vgetAnswer(X72,vNumber) = vNum(vaskNumber(X72)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getAnswer-1') ).

tff(c_0_26,plain,
    ! [X702: vQConf,X703: vQConf] :
      ( ( X702 = X703 )
      | ( vsomeQConf(X702) != vsomeQConf(X703) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someQConf'])])]) ).

tff(c_0_27,plain,
    ! [X1150: vQMap,X1151: vAType,X1152: vLabel,X1153: vAnsMap,X1154: vQID] : ( vreduce(vqsingle(vquestion(X1154,X1152,X1151)),X1153,X1150) = vsomeQConf(vQC(vabind(X1154,vgetAnswer(X1152,X1151),X1153),X1150,vqempty)) ),
    inference(variable_rename,[status(thm)],['reduce-1']) ).

tff(c_0_28,negated_conjecture,
    ~ ! [X500: vATMap,X501: vQuestionnaire,X150: vQMap,X274: vAType,X372: vAnsMap,X72: vLabel,X357: vATMap,X126: vAnsMap,X375: vQMap,X71: vQID] :
        ( ( ( vreduce(vqsingle(vquestion(X71,X72,X274)),X126,X150) = vsomeQConf(vQC(X372,X375,X501)) )
          & vptcheck(vMC(vtypeAM(X126),vtypeQM(X150)),vqsingle(vquestion(X71,X72,X274)),vMC(X357,X500)) )
       => vptcheck(vMC(vtypeAM(X372),vtypeQM(X375)),X501,vMC(X357,X500)) ),
    inference(assume_negation,[status(cth)],['Preservation-qsingle-question']) ).

tcf(c_0_29,plain,
    ! [X44: vQConf,X45: vQConf] :
      ( ( vsomeQConf(X44) != vsomeQConf(X45) )
      | ( X44 = X45 ) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

tcf(c_0_30,plain,
    ! [X2: vQID,X3: vLabel,X4: vAType,X55: vAnsMap,X11: vQMap] : vreduce(vqsingle(vquestion(X2,X3,X4)),X55,X11) = vsomeQConf(vQC(vabind(X2,vgetAnswer(X3,X4),X55),X11,vqempty)),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

tff(c_0_31,negated_conjecture,
    ( ~ vptcheck(vMC(vtypeAM(esk240_0),vtypeQM(esk244_0)),esk237_0,vMC(esk242_0,esk236_0))
    & ( vreduce(vqsingle(vquestion(esk245_0,esk241_0,esk239_0)),esk243_0,esk238_0) = vsomeQConf(vQC(esk240_0,esk244_0,esk237_0)) )
    & vptcheck(vMC(vtypeAM(esk243_0),vtypeQM(esk238_0)),vqsingle(vquestion(esk245_0,esk241_0,esk239_0)),vMC(esk242_0,esk236_0)) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).

tcf(c_0_32,plain,
    ! [X2: vQID,X3: vLabel,X4: vAType,X11: vQMap,X55: vAnsMap,X44: vQConf] :
      ( ( vreduce(vqsingle(vquestion(X2,X3,X4)),X55,X11) != vsomeQConf(X44) )
      | ( vQC(vabind(X2,vgetAnswer(X3,X4),X55),X11,vqempty) = X44 ) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

tcf(c_0_33,negated_conjecture,
    vreduce(vqsingle(vquestion(esk245_0,esk241_0,esk239_0)),esk243_0,esk238_0) = vsomeQConf(vQC(esk240_0,esk244_0,esk237_0)),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

tff(c_0_34,plain,
    ! [X995: vAnsMap,X996: vQMap,X997: vQuestionnaire] : ( vgetQM(vQC(X995,X996,X997)) = X996 ),
    inference(variable_rename,[status(thm)],['getQM-0']) ).

tcf(c_0_35,negated_conjecture,
    ! [X44: vQConf] :
      ( ( vsomeQConf(vQC(esk240_0,esk244_0,esk237_0)) != vsomeQConf(X44) )
      | ( vQC(vabind(esk245_0,vgetAnswer(esk241_0,esk239_0),esk243_0),esk238_0,vqempty) = X44 ) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

tcf(c_0_36,plain,
    ! [X55: vAnsMap,X32: vQuestionnaire,X11: vQMap] : vgetQM(vQC(X55,X11,X32)) = X11,
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

tcf(c_0_37,negated_conjecture,
    vQC(vabind(esk245_0,vgetAnswer(esk241_0,esk239_0),esk243_0),esk238_0,vqempty) = vQC(esk240_0,esk244_0,esk237_0),
    inference(er,[status(thm)],[c_0_35]) ).

tff(c_0_38,plain,
    ! [X1002: vAnsMap,X1003: vQMap,X1004: vQuestionnaire] : ( vgetQuest(vQC(X1002,X1003,X1004)) = X1004 ),
    inference(variable_rename,[status(thm)],['getQuest-0']) ).

tcf(c_0_39,negated_conjecture,
    esk244_0 = esk238_0,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_36]) ).

tcf(c_0_40,plain,
    ! [X11: vQMap,X55: vAnsMap,X32: vQuestionnaire] : vgetQuest(vQC(X55,X11,X32)) = X32,
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

tcf(c_0_41,negated_conjecture,
    vQC(vabind(esk245_0,vgetAnswer(esk241_0,esk239_0),esk243_0),esk238_0,vqempty) = vQC(esk240_0,esk238_0,esk237_0),
    inference(rw,[status(thm)],[c_0_37,c_0_39]) ).

tff(c_0_42,plain,
    ! [X775: vQID,X776: vATMap,X777: vATMap,X778: vAType,X779: vQID,X780: vAType] :
      ( ( ( vatmbind(X779,X778,X777) != vatmbind(X775,X780,X776) )
        | ( X777 = X776 ) )
      & ( ( vatmbind(X779,X778,X777) != vatmbind(X775,X780,X776) )
        | ( X778 = X780 ) )
      & ( ( vatmbind(X779,X778,X777) != vatmbind(X775,X780,X776) )
        | ( X779 = X775 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-atmbind'])])])]) ).

tff(c_0_43,plain,
    ! [X771: vATMap] :
      ( ( X771 = vatmbind(esk47_1(X771),esk48_1(X771),esk49_1(X771)) )
      | ( X771 = vatmempty ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['dom-ATMap'])]) ).

tff(c_0_44,plain,
    ! [X2: vQID,X4: vAType,X15: vATMap] : ( vatmempty != vatmbind(X2,X4,X15) ),
    inference(fof_simplification,[status(thm)],['DIFF-atmempty-atmbind']) ).

tff(c_0_45,plain,
    ! [X1422: vATMap,X1423: vATMap,X1424: vATMap,X1425: vAType,X1426: vLabel,X1427: vATMap,X1428: vQID] :
      ( ( X1427 = vatmbind(X1428,X1425,X1423) )
      | ~ vptcheck(vMC(X1423,X1422),vqsingle(vquestion(X1428,X1426,X1425)),vMC(X1427,X1424)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Tquestion_inv2'])])]) ).

tff(c_0_46,plain,
    ! [X988: vAnsMap,X989: vQMap,X990: vQuestionnaire] : ( vgetAM(vQC(X988,X989,X990)) = X988 ),
    inference(variable_rename,[status(thm)],['getAM-0']) ).

tcf(c_0_47,negated_conjecture,
    esk237_0 = vqempty,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_40]) ).

tcf(c_0_48,plain,
    ! [X2: vQID,X4: vAType,X6: vQID,X8: vAType,X15: vATMap,X16: vATMap] :
      ( ( vatmbind(X2,X4,X15) != vatmbind(X6,X8,X16) )
      | ( X2 = X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

tcf(c_0_49,plain,
    ! [X15: vATMap] :
      ( ( X15 = vatmbind(esk47_1(X15),esk48_1(X15),esk49_1(X15)) )
      | ( X15 = vatmempty ) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

tff(c_0_50,plain,
    ! [X781: vQID,X782: vAType,X783: vATMap] : ( vatmempty != vatmbind(X781,X782,X783) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_44])]) ).

tcf(c_0_51,plain,
    ! [X2: vQID,X4: vAType,X6: vQID,X8: vAType,X15: vATMap,X16: vATMap] :
      ( ( vatmbind(X2,X4,X15) != vatmbind(X6,X8,X16) )
      | ( X4 = X8 ) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

tff(c_0_52,plain,
    ! [X1429: vATMap,X1430: vATMap,X1431: vATMap,X1432: vAType,X1433: vLabel,X1434: vATMap,X1435: vQID] :
      ( ( X1431 = X1429 )
      | ~ vptcheck(vMC(X1430,X1429),vqsingle(vquestion(X1435,X1433,X1432)),vMC(X1434,X1431)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Tquestion_inv3'])])]) ).

tcf(c_0_53,plain,
    ! [X2: vQID,X3: vLabel,X4: vAType,X16: vATMap,X15: vATMap,X17: vATMap,X18: vATMap] :
      ( ~ vptcheck(vMC(X15,X16),vqsingle(vquestion(X2,X3,X4)),vMC(X17,X18))
      | ( X17 = vatmbind(X2,X4,X15) ) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

tcf(c_0_54,negated_conjecture,
    vptcheck(vMC(vtypeAM(esk243_0),vtypeQM(esk238_0)),vqsingle(vquestion(esk245_0,esk241_0,esk239_0)),vMC(esk242_0,esk236_0)),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

tff(c_0_55,plain,
    ! [X591: vAType] :
      ( ( X591 = vText )
      | ( X591 = vNumber )
      | ( X591 = vYesNo ) ),
    inference(variable_rename,[status(thm)],['dom-AType']) ).

tff(c_0_56,plain,
    ! [X1300: vQID,X1301: vAval,X1302: vAnsMap] : ( vtypeAM(vabind(X1300,X1301,X1302)) = vatmbind(X1300,vtypeOf(X1301),vtypeAM(X1302)) ),
    inference(variable_rename,[status(thm)],['typeAM-1']) ).

tcf(c_0_57,plain,
    ! [X11: vQMap,X32: vQuestionnaire,X55: vAnsMap] : vgetAM(vQC(X55,X11,X32)) = X55,
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

tcf(c_0_58,negated_conjecture,
    vQC(vabind(esk245_0,vgetAnswer(esk241_0,esk239_0),esk243_0),esk238_0,vqempty) = vQC(esk240_0,esk238_0,vqempty),
    inference(rw,[status(thm)],[c_0_41,c_0_47]) ).

tff(c_0_59,plain,
    ! [X911: vstring] : ( vtypeOf(vT(X911)) = vText ),
    inference(variable_rename,[status(thm)],['typeOf-2']) ).

tff(c_0_60,plain,
    ! [X1041: vLabel] : ( vgetAnswer(X1041,vText) = vT(vaskText(X1041)) ),
    inference(variable_rename,[status(thm)],['getAnswer-2']) ).

tff(c_0_61,plain,
    vYesNo != vText,
    inference(fof_simplification,[status(thm)],['DIFF-YesNo-Text']) ).

tff(c_0_62,plain,
    vNumber != vText,
    inference(fof_simplification,[status(thm)],['DIFF-Number-Text']) ).

tff(c_0_63,plain,
    ! [X1242: vQID,X1243: vAType,X1244: vATMap] : ( vlookupATMap(X1242,vatmbind(X1242,X1243,X1244)) = vsomeAType(X1243) ),
    inference(variable_rename,[status(thm)],['lookupATMap-1']) ).

tff(c_0_64,plain,
    ! [X1339: vATMap,X1340: vQID] : ( vecheck(X1339,vqvar(X1340)) = vlookupATMap(X1340,X1339) ),
    inference(variable_rename,[status(thm)],['echeck-3']) ).

tcf(c_0_65,plain,
    ! [X2: vQID,X4: vAType,X15: vATMap,X16: vATMap] :
      ( ( X15 != vatmbind(X2,X4,X16) )
      | ( X15 = vatmempty )
      | ( esk47_1(X15) = X2 ) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

tcf(c_0_66,plain,
    ! [X2: vQID,X4: vAType,X15: vATMap] : vatmempty != vatmbind(X2,X4,X15),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

tcf(c_0_67,plain,
    ! [X2: vQID,X4: vAType,X15: vATMap,X16: vATMap] :
      ( ( X15 != vatmbind(X2,X4,X16) )
      | ( X15 = vatmempty )
      | ( esk48_1(X15) = X4 ) ),
    inference(spm,[status(thm)],[c_0_51,c_0_49]) ).

tcf(c_0_68,plain,
    ! [X2: vQID,X3: vLabel,X4: vAType,X16: vATMap,X15: vATMap,X17: vATMap,X18: vATMap] :
      ( ~ vptcheck(vMC(X15,X16),vqsingle(vquestion(X2,X3,X4)),vMC(X17,X18))
      | ( X18 = X16 ) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

tcf(c_0_69,negated_conjecture,
    vatmbind(esk245_0,esk239_0,vtypeAM(esk243_0)) = esk242_0,
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

tcf(c_0_70,plain,
    ! [X4: vAType] :
      ( ( X4 = vText )
      | ( X4 = vNumber )
      | ( X4 = vYesNo ) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

tcf(c_0_71,plain,
    ! [X2: vQID,X21: vAval,X55: vAnsMap] : vtypeAM(vabind(X2,X21,X55)) = vatmbind(X2,vtypeOf(X21),vtypeAM(X55)),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

tcf(c_0_72,negated_conjecture,
    vabind(esk245_0,vgetAnswer(esk241_0,esk239_0),esk243_0) = esk240_0,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_57]) ).

tcf(c_0_73,plain,
    ! [X49: vstring] : vtypeOf(vT(X49)) = vText,
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

tcf(c_0_74,plain,
    ! [X3: vLabel] : vgetAnswer(X3,vText) = vT(vaskText(X3)),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

tff(c_0_75,plain,
    vYesNo != vText,
    inference(fof_nnf,[status(thm)],[c_0_61]) ).

tff(c_0_76,plain,
    vNumber != vText,
    inference(fof_nnf,[status(thm)],[c_0_62]) ).

tcf(c_0_77,plain,
    ! [X2: vQID,X15: vATMap,X4: vAType] : vlookupATMap(X2,vatmbind(X2,X4,X15)) = vsomeAType(X4),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

tcf(c_0_78,plain,
    ! [X2: vQID,X15: vATMap] : vecheck(X15,vqvar(X2)) = vlookupATMap(X2,X15),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

tcf(c_0_79,plain,
    ! [X15: vATMap,X4: vAType,X2: vQID] : esk47_1(vatmbind(X2,X4,X15)) = X2,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_65]),c_0_66]) ).

tcf(c_0_80,plain,
    ! [X2: vQID,X15: vATMap,X4: vAType] : esk48_1(vatmbind(X2,X4,X15)) = X4,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_67]),c_0_66]) ).

tcf(c_0_81,plain,
    ! [X2: vQID,X4: vAType,X6: vQID,X8: vAType,X15: vATMap,X16: vATMap] :
      ( ( vatmbind(X2,X4,X15) != vatmbind(X6,X8,X16) )
      | ( X15 = X16 ) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

tcf(c_0_82,negated_conjecture,
    ~ vptcheck(vMC(vtypeAM(esk240_0),vtypeQM(esk244_0)),esk237_0,vMC(esk242_0,esk236_0)),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

tcf(c_0_83,negated_conjecture,
    vtypeQM(esk238_0) = esk236_0,
    inference(spm,[status(thm)],[c_0_68,c_0_54]) ).

tcf(c_0_84,negated_conjecture,
    ( ( esk239_0 = vNumber )
    | ( esk239_0 = vYesNo )
    | ( vatmbind(esk245_0,vText,vtypeAM(esk243_0)) = esk242_0 ) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

tcf(c_0_85,plain,
    ! [X2: vQID,X55: vAnsMap,X21: vAval] :
      ( ( vtypeOf(X21) = vNumber )
      | ( vtypeOf(X21) = vYesNo )
      | ( vtypeAM(vabind(X2,X21,X55)) = vatmbind(X2,vText,vtypeAM(X55)) ) ),
    inference(spm,[status(thm)],[c_0_71,c_0_70]) ).

tcf(c_0_86,negated_conjecture,
    ( ( esk239_0 = vNumber )
    | ( esk239_0 = vYesNo )
    | ( vabind(esk245_0,vgetAnswer(esk241_0,vText),esk243_0) = esk240_0 ) ),
    inference(spm,[status(thm)],[c_0_72,c_0_70]) ).

tcf(c_0_87,plain,
    ! [X3: vLabel] : vtypeOf(vgetAnswer(X3,vText)) = vText,
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

tcf(c_0_88,plain,
    vYesNo != vText,
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

tcf(c_0_89,plain,
    vNumber != vText,
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

tff(c_0_90,plain,
    ! [X1365: vATMap,X1366: vATMap] : vptcheck(vMC(X1365,X1366),vqempty,vMC(X1365,X1366)),
    inference(variable_rename,[status(thm)],['Tqempty']) ).

tff(c_0_91,plain,
    ! [X581: vMapConf] : ( X581 = vMC(esk15_1(X581),esk16_1(X581)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['dom-MapConf'])]) ).

tcf(c_0_92,plain,
    ! [X2: vQID,X15: vATMap,X4: vAType] : vecheck(vatmbind(X2,X4,X15),vqvar(X2)) = vsomeAType(X4),
    inference(rw,[status(thm)],[c_0_77,c_0_78]) ).

tcf(c_0_93,plain,
    ! [X55: vAnsMap,X21: vAval,X2: vQID] : esk47_1(vtypeAM(vabind(X2,X21,X55))) = X2,
    inference(spm,[status(thm)],[c_0_79,c_0_71]) ).

tcf(c_0_94,plain,
    ! [X2: vQID,X21: vAval,X55: vAnsMap] : vtypeAM(vabind(X2,X21,X55)) != vatmempty,
    inference(spm,[status(thm)],[c_0_66,c_0_71]) ).

tcf(c_0_95,plain,
    ! [X2: vQID,X55: vAnsMap,X21: vAval] : esk48_1(vtypeAM(vabind(X2,X21,X55))) = vtypeOf(X21),
    inference(spm,[status(thm)],[c_0_80,c_0_71]) ).

tcf(c_0_96,plain,
    ! [X2: vQID,X4: vAType,X15: vATMap,X16: vATMap] :
      ( ( X15 != vatmbind(X2,X4,X16) )
      | ( X15 = vatmempty )
      | ( esk49_1(X15) = X16 ) ),
    inference(spm,[status(thm)],[c_0_81,c_0_49]) ).

tcf(c_0_97,negated_conjecture,
    ~ vptcheck(vMC(vtypeAM(esk240_0),esk236_0),esk237_0,vMC(esk242_0,esk236_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_39]),c_0_83]) ).

tcf(c_0_98,negated_conjecture,
    ! [X4: vAType] :
      ( ( X4 = vNumber )
      | ( X4 = vYesNo )
      | ( esk239_0 = vYesNo )
      | ( esk239_0 = vNumber )
      | ( vatmbind(esk245_0,X4,vtypeAM(esk243_0)) = esk242_0 ) ),
    inference(spm,[status(thm)],[c_0_84,c_0_70]) ).

tcf(c_0_99,negated_conjecture,
    ( ( esk239_0 = vYesNo )
    | ( esk239_0 = vNumber )
    | ( vatmbind(esk245_0,vText,vtypeAM(esk243_0)) = vtypeAM(esk240_0) ) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_87]),c_0_88]),c_0_89]) ).

tcf(c_0_100,plain,
    ! [X15: vATMap,X16: vATMap] : vptcheck(vMC(X15,X16),vqempty,vMC(X15,X16)),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

tcf(c_0_101,plain,
    ! [X14: vMapConf] : X14 = vMC(esk15_1(X14),esk16_1(X14)),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

tff(c_0_102,plain,
    ! [X817: vAType] : ( vgetAType(vsomeAType(X817)) = X817 ),
    inference(variable_rename,[status(thm)],['getAType-0']) ).

tcf(c_0_103,plain,
    ! [X15: vATMap] :
      ( ( X15 = vatmempty )
      | ( vecheck(X15,vqvar(esk47_1(X15))) = vsomeAType(esk48_1(X15)) ) ),
    inference(spm,[status(thm)],[c_0_92,c_0_49]) ).

tcf(c_0_104,negated_conjecture,
    esk47_1(vtypeAM(esk240_0)) = esk245_0,
    inference(spm,[status(thm)],[c_0_93,c_0_72]) ).

tcf(c_0_105,negated_conjecture,
    vtypeAM(esk240_0) != vatmempty,
    inference(spm,[status(thm)],[c_0_94,c_0_72]) ).

tcf(c_0_106,negated_conjecture,
    esk48_1(vtypeAM(esk240_0)) = vtypeOf(vgetAnswer(esk241_0,esk239_0)),
    inference(spm,[status(thm)],[c_0_95,c_0_72]) ).

tcf(c_0_107,plain,
    ! [X2: vQID,X4: vAType,X15: vATMap] : esk49_1(vatmbind(X2,X4,X15)) = X15,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_96]),c_0_66]) ).

tcf(c_0_108,negated_conjecture,
    ~ vptcheck(vMC(vtypeAM(esk240_0),esk236_0),vqempty,vMC(esk242_0,esk236_0)),
    inference(rw,[status(thm)],[c_0_97,c_0_47]) ).

tcf(c_0_109,negated_conjecture,
    ( ( esk239_0 = vNumber )
    | ( esk239_0 = vYesNo )
    | ( vtypeAM(esk240_0) = esk242_0 ) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_88]),c_0_89]) ).

tcf(c_0_110,plain,
    ! [X14: vMapConf] : vptcheck(X14,vqempty,X14),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

tff(c_0_111,plain,
    ! [X909: vYN] : ( vtypeOf(vB(X909)) = vYesNo ),
    inference(variable_rename,[status(thm)],['typeOf-0']) ).

tff(c_0_112,plain,
    ! [X1039: vLabel] : ( vgetAnswer(X1039,vYesNo) = vB(vaskYesNo(X1039)) ),
    inference(variable_rename,[status(thm)],['getAnswer-0']) ).

tcf(c_0_113,plain,
    ! [X4: vAType] : vgetAType(vsomeAType(X4)) = X4,
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

tcf(c_0_114,negated_conjecture,
    vsomeAType(vtypeOf(vgetAnswer(esk241_0,esk239_0))) = vecheck(vtypeAM(esk240_0),vqvar(esk245_0)),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_106]) ).

tcf(c_0_115,plain,
    ! [X2: vQID,X21: vAval,X55: vAnsMap] : esk49_1(vtypeAM(vabind(X2,X21,X55))) = vtypeAM(X55),
    inference(spm,[status(thm)],[c_0_107,c_0_71]) ).

tcf(c_0_116,negated_conjecture,
    ( ( esk239_0 = vYesNo )
    | ( esk239_0 = vNumber ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]) ).

tcf(c_0_117,plain,
    ! [X10: vYN] : vtypeOf(vB(X10)) = vYesNo,
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

tcf(c_0_118,plain,
    ! [X3: vLabel] : vgetAnswer(X3,vYesNo) = vB(vaskYesNo(X3)),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

tcf(c_0_119,negated_conjecture,
    vtypeOf(vgetAnswer(esk241_0,esk239_0)) = vgetAType(vecheck(vtypeAM(esk240_0),vqvar(esk245_0))),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

tcf(c_0_120,negated_conjecture,
    esk49_1(vtypeAM(esk240_0)) = vtypeAM(esk243_0),
    inference(spm,[status(thm)],[c_0_115,c_0_72]) ).

tcf(c_0_121,plain,
    ! [X2: vQID,X55: vAnsMap,X21: vAval] : vecheck(vtypeAM(vabind(X2,X21,X55)),vqvar(X2)) = vsomeAType(vtypeOf(X21)),
    inference(spm,[status(thm)],[c_0_92,c_0_71]) ).

tcf(c_0_122,negated_conjecture,
    ( ( esk239_0 = vNumber )
    | ( vabind(esk245_0,vgetAnswer(esk241_0,vYesNo),esk243_0) = esk240_0 ) ),
    inference(spm,[status(thm)],[c_0_72,c_0_116]) ).

tcf(c_0_123,plain,
    ! [X3: vLabel] : vtypeOf(vgetAnswer(X3,vYesNo)) = vYesNo,
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

tcf(c_0_124,negated_conjecture,
    vatmbind(esk245_0,vgetAType(vecheck(vtypeAM(esk240_0),vqvar(esk245_0))),vtypeAM(esk243_0)) = vtypeAM(esk240_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_104]),c_0_105]),c_0_106]),c_0_119]),c_0_120]) ).

tcf(c_0_125,negated_conjecture,
    ( ( esk239_0 = vNumber )
    | ( vecheck(vtypeAM(esk240_0),vqvar(esk245_0)) = vsomeAType(vYesNo) ) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).

tcf(c_0_126,negated_conjecture,
    ( ( esk239_0 = vNumber )
    | ( vatmbind(esk245_0,vYesNo,vtypeAM(esk243_0)) = esk242_0 ) ),
    inference(spm,[status(thm)],[c_0_69,c_0_116]) ).

tcf(c_0_127,negated_conjecture,
    ( ( esk239_0 = vNumber )
    | ( vatmbind(esk245_0,vYesNo,vtypeAM(esk243_0)) = vtypeAM(esk240_0) ) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_113]) ).

tcf(c_0_128,negated_conjecture,
    ( ( esk239_0 = vNumber )
    | ( vtypeAM(esk240_0) = esk242_0 ) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

tff(c_0_129,plain,
    ! [X910: vnat] : ( vtypeOf(vNum(X910)) = vNumber ),
    inference(variable_rename,[status(thm)],['typeOf-1']) ).

tff(c_0_130,plain,
    ! [X1040: vLabel] : ( vgetAnswer(X1040,vNumber) = vNum(vaskNumber(X1040)) ),
    inference(variable_rename,[status(thm)],['getAnswer-1']) ).

tcf(c_0_131,negated_conjecture,
    esk239_0 = vNumber,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_128]),c_0_110])]) ).

tcf(c_0_132,plain,
    ! [X29: vnat] : vtypeOf(vNum(X29)) = vNumber,
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

tcf(c_0_133,plain,
    ! [X3: vLabel] : vgetAnswer(X3,vNumber) = vNum(vaskNumber(X3)),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

tcf(c_0_134,negated_conjecture,
    vsomeAType(esk239_0) = vecheck(esk242_0,vqvar(esk245_0)),
    inference(spm,[status(thm)],[c_0_92,c_0_69]) ).

tcf(c_0_135,negated_conjecture,
    vabind(esk245_0,vgetAnswer(esk241_0,vNumber),esk243_0) = esk240_0,
    inference(spm,[status(thm)],[c_0_72,c_0_131]) ).

tcf(c_0_136,plain,
    ! [X3: vLabel] : vtypeOf(vgetAnswer(X3,vNumber)) = vNumber,
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

tcf(c_0_137,negated_conjecture,
    vsomeAType(vNumber) = vecheck(esk242_0,vqvar(esk245_0)),
    inference(rw,[status(thm)],[c_0_134,c_0_131]) ).

tcf(c_0_138,negated_conjecture,
    vecheck(vtypeAM(esk240_0),vqvar(esk245_0)) = vecheck(esk242_0,vqvar(esk245_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_135]),c_0_136]),c_0_137]) ).

tcf(c_0_139,negated_conjecture,
    vgetAType(vecheck(esk242_0,vqvar(esk245_0))) = esk239_0,
    inference(spm,[status(thm)],[c_0_113,c_0_134]) ).

tcf(c_0_140,negated_conjecture,
    vatmbind(esk245_0,vNumber,vtypeAM(esk243_0)) = esk242_0,
    inference(rw,[status(thm)],[c_0_69,c_0_131]) ).

tcf(c_0_141,negated_conjecture,
    vtypeAM(esk240_0) = esk242_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_138]),c_0_139]),c_0_131]),c_0_140]) ).

cnf(c_0_142,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_141]),c_0_110])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : COM261_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/5.45  % Computer : n020.cluster.edu
% 0.19/5.45  % Model    : x86_64 x86_64
% 0.19/5.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.45  % Memory   : 8046.5625MB
% 0.19/5.45  % OS       : Linux 6.8.0-71-generic
% 0.19/5.45  % CPULimit : 300
% 0.19/5.45  % WCLimit  : 300
% 0.19/5.45  % DateTime : Mon Sep 21 14:21:52 UTC 2026
% 0.19/5.46  % CPUTime  : 
% 0.19/5.46  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/5.52  Running first-order theorem proving
% 0.23/5.52  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.36/10.75  % Version: 3.5.1
% 35.36/10.75  % Preprocessing class: FSLMSMSMSSSNFFN.
% 35.36/10.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.36/10.75  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 35.36/10.75  % Starting new_bool_3 with 600s (2) cores
% 35.36/10.75  % Starting new_bool_1 with 300s (1) cores
% 35.36/10.75  % Starting sh5l with 300s (1) cores
% 35.36/10.75  % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 3162938 completed with status 0
% 35.36/10.75  % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 35.36/10.75  % Preprocessing class: FSLMSMSMSSSNFFN.
% 35.36/10.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.36/10.75  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 35.36/10.75  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 35.36/10.75  % No SInE strategy applied
% 35.36/10.75  % Search class: FGUSM-SMLM32-DFFFFFNN
% 35.36/10.75  % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 35.36/10.75  % Starting SubtermCWHack with 109s (1) cores
% 35.36/10.75  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 35.36/10.75  % Starting sh3 with 217s (1) cores
% 35.36/10.75  % Starting ho_unfolding_3 with 217s (1) cores
% 35.36/10.75  % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 3162947 completed with status 0
% 35.36/10.75  % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 35.36/10.75  % Preprocessing class: FSLMSMSMSSSNFFN.
% 35.36/10.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.36/10.75  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 35.36/10.75  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 35.36/10.75  % No SInE strategy applied
% 35.36/10.75  % Search class: FGUSM-SMLM32-DFFFFFNN
% 35.36/10.75  % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 35.36/10.75  % Starting SubtermCWHack with 109s (1) cores
% 35.36/10.75  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 35.36/10.75  % Preprocessing time       : 0.053 s
% 35.36/10.75  % Presaturation interreduction done
% 35.36/10.75  
% 35.36/10.75  % Proof found!
% 35.36/10.75  % SZS status Theorem
% 35.36/10.75  % SZS output start CNFRefutation
% See solution above
% 35.36/10.75  % Parsed axioms                        : 504
% 35.36/10.75  % Removed by relevancy pruning/SinE    : 0
% 35.36/10.75  % Initial clauses                      : 2524
% 35.36/10.75  % Removed in clause preprocessing      : 150
% 35.36/10.75  % Initial clauses in saturation        : 2374
% 35.36/10.75  % Processed clauses                    : 13666
% 35.36/10.75  % ...of these trivial                  : 138
% 35.36/10.75  % ...subsumed                          : 6635
% 35.36/10.75  % ...remaining for further processing  : 6893
% 35.36/10.75  % Other redundant clauses eliminated   : 3554
% 35.36/10.75  % Clauses deleted for lack of memory   : 0
% 35.36/10.75  % Backward-subsumed                    : 117
% 35.36/10.75  % Backward-rewritten                   : 368
% 35.36/10.75  % Generated clauses                    : 93244
% 35.36/10.75  % ...of the previous two non-redundant : 85364
% 35.36/10.75  % ...aggressively subsumed             : 0
% 35.36/10.75  % Contextual simplify-reflections      : 45
% 35.36/10.75  % Paramodulations                      : 88947
% 35.36/10.75  % Factorizations                       : 250
% 35.36/10.75  % NegExts                              : 0
% 35.36/10.75  % Equation resolutions                 : 4047
% 35.36/10.75  % Disequality decompositions           : 0
% 35.36/10.75  % Total rewrite steps                  : 12221
% 35.36/10.75  % ...of those cached                   : 11233
% 35.36/10.75  % Propositional unsat checks           : 0
% 35.36/10.75  %    Propositional check models        : 0
% 35.36/10.75  %    Propositional check unsatisfiable : 0
% 35.36/10.75  %    Propositional clauses             : 0
% 35.36/10.75  %    Propositional clauses after purity: 0
% 35.36/10.75  %    Propositional unsat core size     : 0
% 35.36/10.75  %    Propositional preprocessing time  : 0.000
% 35.36/10.75  %    Propositional encoding time       : 0.000
% 35.36/10.75  %    Propositional solver time         : 0.000
% 35.36/10.75  %    Success case prop preproc time    : 0.000
% 35.36/10.75  %    Success case prop encoding time   : 0.000
% 35.36/10.75  %    Success case prop solver time     : 0.000
% 35.36/10.75  % Current number of processed clauses  : 4322
% 35.36/10.75  %    Positive orientable unit clauses  : 325
% 35.36/10.75  %    Positive unorientable unit clauses: 23
% 35.36/10.75  %    Negative unit clauses             : 287
% 35.36/10.75  %    Non-unit-clauses                  : 3687
% 35.36/10.75  % Current number of unprocessed clauses: 75463
% 35.36/10.75  % ...number of literals in the above   : 306468
% 35.36/10.75  % Current number of archived formulas  : 0
% 35.36/10.75  % Current number of archived clauses   : 2577
% 35.36/10.75  % Clause-clause subsumption calls (NU) : 2751451
% 35.36/10.75  % Rec. Clause-clause subsumption calls : 1166884
% 35.36/10.75  % Non-unit clause-clause subsumptions  : 5494
% 35.36/10.75  % Unit Clause-clause subsumption calls : 285114
% 35.36/10.75  % Rewrite failures with RHS unbound    : 467
% 35.36/10.75  % BW rewrite match attempts            : 2648
% 35.36/10.75  % BW rewrite match successes           : 132
% 35.36/10.75  % Condensation attempts                : 0
% 35.36/10.75  % Condensation successes               : 0
% 35.36/10.75  % Termbank termtop insertions          : 1014740
% 35.36/10.75  % Search garbage collected termcells   : 16343
% 35.36/10.75  
% 35.36/10.75  % -------------------------------------------------
% 35.36/10.75  % User time                : 4.943 s
% 35.36/10.75  % System time              : 0.122 s
% 35.36/10.75  % Total time               : 5.065 s
% 35.36/10.75  % Maximum resident set size: 8832 pages
% 35.36/10.75  
% 35.36/10.75  % -------------------------------------------------
% 35.36/10.75  % User time                : 19.562 s
% 35.36/10.75  % System time              : 0.510 s
% 35.36/10.75  % Total time               : 20.072 s
% 35.36/10.75  % Maximum resident set size: 5376 pages
% 35.36/10.75  % E exiting
%------------------------------------------------------------------------------