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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : COM281_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 : Tue Sep 29 09:39:59 AM UTC 2026

% Result   : Theorem 0.66s 0.96s
% Output   : Refutation 2.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   45 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   89 (  30 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   83 (  39   ~;  26   |;  13   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :   21 (  20 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   24 (  22 usr;   1 prp; 0-3 aty)
%            Number of functors    :  140 ( 140 usr;  20 con; 0-3 aty)
%            Number of variables   :   91 (  83   !;   8   ?;  91   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    vRow: $tType ).

tff(type_def_6,type,
    vPred: $tType ).

tff(type_def_7,type,
    vName: $tType ).

tff(type_def_8,type,
    vAttrL: $tType ).

tff(type_def_9,type,
    vRawTable: $tType ).

tff(type_def_10,type,
    vOptRawTable: $tType ).

tff(type_def_11,type,
    vFType: $tType ).

tff(type_def_12,type,
    vOptTType: $tType ).

tff(type_def_13,type,
    vTTContext: $tType ).

tff(type_def_14,type,
    vQuery: $tType ).

tff(type_def_15,type,
    vVal: $tType ).

tff(type_def_16,type,
    vOptTable: $tType ).

tff(type_def_17,type,
    vTStore: $tType ).

tff(type_def_18,type,
    vExp: $tType ).

tff(type_def_19,type,
    vTable: $tType ).

tff(type_def_20,type,
    vTType: $tType ).

tff(type_def_21,type,
    vSelect: $tType ).

tff(type_def_22,type,
    vOptFType: $tType ).

tff(type_def_23,type,
    vOptVal: $tType ).

tff(type_def_24,type,
    vOptQuery: $tType ).

tff(func_def_0,type,
    vrempty: vRow ).

tff(func_def_1,type,
    vconstant: vVal > vExp ).

tff(func_def_2,type,
    vlookup: vName > vExp ).

tff(func_def_3,type,
    vtvalue: vTable > vQuery ).

tff(func_def_4,type,
    vacons: ( vName * vAttrL ) > vAttrL ).

tff(func_def_5,type,
    vsomeQuery: vQuery > vOptQuery ).

tff(func_def_6,type,
    vsomeFType: vFType > vOptFType ).

tff(func_def_7,type,
    vall: vSelect ).

tff(func_def_8,type,
    vrcons: ( vVal * vRow ) > vRow ).

tff(func_def_9,type,
    vttcons: ( vName * vFType * vTType ) > vTType ).

tff(func_def_10,type,
    vtempty: vRawTable ).

tff(func_def_11,type,
    vselectFromWhere: ( vSelect * vName * vPred ) > vQuery ).

tff(func_def_12,type,
    vaempty: vAttrL ).

tff(func_def_13,type,
    vnoRawTable: vOptRawTable ).

tff(func_def_14,type,
    vtcons: ( vRow * vRawTable ) > vRawTable ).

tff(func_def_15,type,
    vsomeTType: vTType > vOptTType ).

tff(func_def_16,type,
    vsomeVal: vVal > vOptVal ).

tff(func_def_17,type,
    vIntersection: ( vQuery * vQuery ) > vQuery ).

tff(func_def_18,type,
    vptrue: vPred ).

tff(func_def_19,type,
    vsomeRawTable: vRawTable > vOptRawTable ).

tff(func_def_20,type,
    vbindStore: ( vName * vTable * vTStore ) > vTStore ).

tff(func_def_21,type,
    vnoQuery: vOptQuery ).

tff(func_def_22,type,
    vnot: vPred > vPred ).

tff(func_def_23,type,
    vnoVal: vOptVal ).

tff(func_def_24,type,
    vnoTType: vOptTType ).

tff(func_def_25,type,
    vttempty: vTType ).

tff(func_def_26,type,
    vnoTable: vOptTable ).

tff(func_def_27,type,
    vDifference: ( vQuery * vQuery ) > vQuery ).

tff(func_def_28,type,
    vnoFType: vOptFType ).

tff(func_def_29,type,
    vUnion: ( vQuery * vQuery ) > vQuery ).

tff(func_def_30,type,
    vbindContext: ( vName * vTType * vTTContext ) > vTTContext ).

tff(func_def_31,type,
    vlt: ( vExp * vExp ) > vPred ).

tff(func_def_32,type,
    vemptyContext: vTTContext ).

tff(func_def_33,type,
    vgt: ( vExp * vExp ) > vPred ).

tff(func_def_34,type,
    vsomeTable: vTable > vOptTable ).

tff(func_def_35,type,
    vemptyStore: vTStore ).

tff(func_def_36,type,
    veq: ( vExp * vExp ) > vPred ).

tff(func_def_37,type,
    vand: ( vPred * vPred ) > vPred ).

tff(func_def_38,type,
    vlist: vAttrL > vSelect ).

tff(func_def_39,type,
    vtable: ( vAttrL * vRawTable ) > vTable ).

tff(func_def_40,type,
    vprojectTable: ( vSelect * vTable ) > vOptTable ).

tff(func_def_41,type,
    vinitFType: vFType ).

tff(func_def_42,type,
    vprojectTypeAttrL: ( vAttrL * vTType ) > vOptTType ).

tff(func_def_43,type,
    venumVal: vVal > vVal ).

tff(func_def_44,type,
    vinitVal: vVal ).

tff(func_def_45,type,
    vgetRaw: vTable > vRawTable ).

tff(func_def_46,type,
    vprojectFirstRaw: vRawTable > vRawTable ).

tff(func_def_47,type,
    vlookupStore: ( vName * vTStore ) > vOptTable ).

tff(func_def_48,type,
    vrawUnion: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_49,type,
    venumFType: vFType > vFType ).

tff(func_def_50,type,
    vattachColToFrontRaw: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_51,type,
    vprojectEmptyCol: vRawTable > vRawTable ).

tff(func_def_52,type,
    vfilterTable: ( vTable * vPred ) > vTable ).

tff(func_def_53,type,
    venumName: vName > vName ).

tff(func_def_54,type,
    vgetAttrL: vTable > vAttrL ).

tff(func_def_55,type,
    vevalExpRow: ( vExp * vAttrL * vRow ) > vOptVal ).

tff(func_def_56,type,
    vfindCol: ( vName * vAttrL * vRawTable ) > vOptRawTable ).

tff(func_def_57,type,
    vlookupContext: ( vName * vTTContext ) > vOptTType ).

tff(func_def_58,type,
    vreduce: ( vQuery * vTStore ) > vOptQuery ).

tff(func_def_59,type,
    vfieldType: vVal > vFType ).

tff(func_def_60,type,
    vrawIntersection: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_61,type,
    vtypeOfExp: ( vExp * vTType ) > vOptFType ).

tff(func_def_62,type,
    vdropFirstColRaw: vRawTable > vRawTable ).

tff(func_def_63,type,
    vfindColType: ( vName * vTType ) > vOptFType ).

tff(func_def_64,type,
    vinitName: vName ).

tff(func_def_65,type,
    vfilterRows: ( vRawTable * vAttrL * vPred ) > vRawTable ).

tff(func_def_66,type,
    vprojectType: ( vSelect * vTType ) > vOptTType ).

tff(func_def_67,type,
    vprojectCols: ( vAttrL * vAttrL * vRawTable ) > vOptRawTable ).

tff(func_def_68,type,
    vrawDifference: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_69,type,
    vappend: ( vAttrL * vAttrL ) > vAttrL ).

tff(func_def_70,type,
    vgetFType: vOptFType > vFType ).

tff(func_def_71,type,
    vgetQuery: vOptQuery > vQuery ).

tff(func_def_72,type,
    vgetTType: vOptTType > vTType ).

tff(func_def_73,type,
    vgetVal: vOptVal > vVal ).

tff(func_def_74,type,
    vgetTable: vOptTable > vTable ).

tff(func_def_75,type,
    vgetRawTable: vOptRawTable > vRawTable ).

tff(func_def_76,type,
    sK3: vTType ).

tff(func_def_77,type,
    sK4: vTable ).

tff(func_def_78,type,
    sK5: vPred ).

tff(func_def_79,type,
    sK6: ( vTable * vPred ) > vAttrL ).

tff(func_def_80,type,
    sK7: ( vTable * vPred ) > vRawTable ).

tff(func_def_81,type,
    sK8: ( vTable * vPred ) > vPred ).

tff(func_def_82,type,
    sK9: vTable > vAttrL ).

tff(func_def_83,type,
    sK10: vTable > vRawTable ).

tff(func_def_84,type,
    sK11: ( vRawTable * vAttrL * vPred ) > vPred ).

tff(func_def_85,type,
    sK12: ( vRawTable * vAttrL * vPred ) > vRow ).

tff(func_def_86,type,
    sK13: ( vRawTable * vAttrL * vPred ) > vRawTable ).

tff(func_def_87,type,
    sK14: ( vRawTable * vAttrL * vPred ) > vAttrL ).

tff(func_def_88,type,
    sK15: ( vRawTable * vAttrL * vPred ) > vRawTable ).

tff(func_def_89,type,
    sK16: ( vRawTable * vAttrL * vPred ) > vPred ).

tff(func_def_90,type,
    sK17: ( vRawTable * vAttrL * vPred ) > vRow ).

tff(func_def_91,type,
    sK18: ( vRawTable * vAttrL * vPred ) > vRawTable ).

tff(func_def_92,type,
    sK19: ( vRawTable * vAttrL * vPred ) > vAttrL ).

tff(func_def_93,type,
    sK20: ( vRawTable * vAttrL * vPred ) > vRawTable ).

tff(func_def_94,type,
    sK21: ( vRawTable * vAttrL * vPred ) > vAttrL ).

tff(func_def_95,type,
    sK22: ( vRawTable * vAttrL * vPred ) > vPred ).

tff(func_def_96,type,
    sK23: ( vTType * vTable ) > vTType ).

tff(func_def_97,type,
    sK24: ( vTType * vTable ) > vAttrL ).

tff(func_def_98,type,
    sK25: ( vTType * vTable ) > vRawTable ).

tff(func_def_99,type,
    sK26: ( vTType * vTable ) > vTType ).

tff(func_def_100,type,
    sK27: ( vTType * vTable ) > vAttrL ).

tff(func_def_101,type,
    sK28: ( vTType * vTable ) > vRawTable ).

tff(func_def_102,type,
    sK29: ( vTType * vRawTable ) > vRow ).

tff(func_def_103,type,
    sK30: ( vTType * vRawTable ) > vRawTable ).

tff(func_def_104,type,
    sK31: ( vTType * vRawTable ) > vTType ).

tff(func_def_105,type,
    sK32: ( vTType * vRawTable ) > vTType ).

tff(func_def_106,type,
    sK33: ( vTType * vRawTable ) > vRow ).

tff(func_def_107,type,
    sK34: ( vTType * vRawTable ) > vRawTable ).

tff(func_def_108,type,
    sK35: ( vTType * vRawTable ) > vTType ).

tff(func_def_109,type,
    sK36: vRawTable > vRow ).

tff(func_def_110,type,
    sK37: vRawTable > vRawTable ).

tff(func_def_111,type,
    sK38: ( vTType * vAttrL ) > vTType ).

tff(func_def_112,type,
    sK39: ( vTType * vAttrL ) > vAttrL ).

tff(func_def_113,type,
    sK40: ( vTType * vAttrL ) > vTType ).

tff(func_def_114,type,
    sK41: ( vTType * vAttrL ) > vName ).

tff(func_def_115,type,
    sK42: ( vTType * vAttrL ) > vFType ).

tff(func_def_116,type,
    sK43: ( vTType * vAttrL ) > vName ).

tff(func_def_117,type,
    sK44: ( vTType * vAttrL ) > vAttrL ).

tff(func_def_118,type,
    sK45: ( vTType * vAttrL ) > vTType ).

tff(func_def_119,type,
    sK46: ( vTType * vAttrL ) > vName ).

tff(func_def_120,type,
    sK47: ( vTType * vAttrL ) > vFType ).

tff(func_def_121,type,
    sK48: ( vTType * vAttrL ) > vName ).

tff(func_def_122,type,
    sK49: ( vTType * vAttrL ) > vAttrL ).

tff(func_def_123,type,
    sK50: vTType > vName ).

tff(func_def_124,type,
    sK51: vTType > vFType ).

tff(func_def_125,type,
    sK52: vTType > vTType ).

tff(func_def_126,type,
    sK53: vAttrL > vName ).

tff(func_def_127,type,
    sK54: vAttrL > vAttrL ).

tff(func_def_128,type,
    sK55: vTType > vName ).

tff(func_def_129,type,
    sK56: vTType > vFType ).

tff(func_def_130,type,
    sK57: vTType > vTType ).

tff(func_def_131,type,
    sK58: vRow > vVal ).

tff(func_def_132,type,
    sK59: vRow > vRow ).

tff(func_def_133,type,
    sK60: vAttrL > vName ).

tff(func_def_134,type,
    sK61: vAttrL > vAttrL ).

tff(func_def_135,type,
    sK62: vTType > vName ).

tff(func_def_136,type,
    sK63: vTType > vFType ).

tff(func_def_137,type,
    sK64: vTType > vTType ).

tff(func_def_138,type,
    sK65: vRow > vVal ).

tff(func_def_139,type,
    sK66: vRow > vRow ).

tff(pred_def_1,type,
    vmatchingAttrL: ( vTType * vAttrL ) > $o ).

tff(pred_def_2,type,
    visSomeTType: vOptTType > $o ).

tff(pred_def_3,type,
    visSomeRawTable: vOptRawTable > $o ).

tff(pred_def_4,type,
    vsameLength: ( vRawTable * vRawTable ) > $o ).

tff(pred_def_5,type,
    vfilterSingleRow: ( vPred * vAttrL * vRow ) > $o ).

tff(pred_def_6,type,
    vlessThan: ( vVal * vVal ) > $o ).

tff(pred_def_7,type,
    visSomeVal: vOptVal > $o ).

tff(pred_def_8,type,
    vwelltypedRawtable: ( vTType * vRawTable ) > $o ).

tff(pred_def_9,type,
    vgreaterThan: ( vVal * vVal ) > $o ).

tff(pred_def_10,type,
    visValue: vQuery > $o ).

tff(pred_def_11,type,
    vwelltypedtable: ( vTType * vTable ) > $o ).

tff(pred_def_12,type,
    visSomeFType: vOptFType > $o ).

tff(pred_def_13,type,
    vtcheckPred: ( vPred * vTType ) > $o ).

tff(pred_def_14,type,
    vrowIn: ( vRow * vRawTable ) > $o ).

tff(pred_def_15,type,
    visSomeTable: vOptTable > $o ).

tff(pred_def_16,type,
    vwelltypedRow: ( vTType * vRow ) > $o ).

tff(pred_def_17,type,
    visSomeQuery: vOptQuery > $o ).

tff(pred_def_18,type,
    vstoreContextConsistent: ( vTStore * vTTContext ) > $o ).

tff(pred_def_19,type,
    vptcheck: ( vTTContext * vQuery * vTType ) > $o ).

tff(pred_def_20,type,
    sP0: ( vRawTable * vAttrL * vPred ) > $o ).

tff(pred_def_21,type,
    sP1: ( vRawTable * vAttrL * vPred ) > $o ).

tff(pred_def_22,type,
    sP2: ( vTType * vAttrL ) > $o ).

tff(f52,axiom,
    ! [X0: vTable] :
    ? [X1: vAttrL,X2: vRawTable] : ( X0 = vtable(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dom-Table') ).

tff(f53,axiom,
    ! [X0: vAttrL,X1: vRawTable,X2: vAttrL,X3: vRawTable] :
      ( ( vtable(X0,X1) = vtable(X2,X3) )
     => ( ( X0 = X2 )
        & ( X1 = X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','EQ-table') ).

tff(f116,axiom,
    ! [X0: vTType,X1: vAttrL,X2: vRawTable] :
      ( vwelltypedtable(X0,vtable(X1,X2))
    <=> ( vmatchingAttrL(X0,X1)
        & vwelltypedRawtable(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','welltypedtable-0') ).

tff(f224,axiom,
    ! [X0: vTable,X1: vPred] :
    ? [X2: vAttrL,X3: vRawTable,X4: vPred] :
      ( ( X0 = vtable(X2,X3) )
      & ( X1 = X4 )
      & ( vfilterTable(X0,X1) = vtable(X2,vfilterRows(X3,X2,X4)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','filterTable-INV') ).

tff(f293,axiom,
    ! [X0: vTType,X1: vRawTable,X2: vAttrL,X3: vPred] :
      ( vwelltypedRawtable(X0,X1)
     => vwelltypedRawtable(X0,vfilterRows(X1,X2,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filterRowsPreservesTable) ).

tff(f294,conjecture,
    ! [X0: vTType,X1: vTable,X2: vPred] :
      ( vwelltypedtable(X0,X1)
     => vwelltypedtable(X0,vfilterTable(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filterPreservesType) ).

tff(f295,negated_conjecture,
    ~ ! [X0: vTType,X1: vTable,X2: vPred] :
        ( vwelltypedtable(X0,X1)
       => vwelltypedtable(X0,vfilterTable(X1,X2)) ),
    inference(negated_conjecture,[status(cth)],[f294]) ).

tff(f297,plain,
    ? [X0: vTType,X1: vTable,X2: vPred] :
      ( ~ vwelltypedtable(X0,vfilterTable(X1,X2))
      & vwelltypedtable(X0,X1) ),
    inference(ennf_transformation,[],[f295]) ).

tff(f313,plain,
    ! [X0: vAttrL,X1: vRawTable,X2: vAttrL,X3: vRawTable] :
      ( ( ( X0 = X2 )
        & ( X1 = X3 ) )
      | ( vtable(X0,X1) != vtable(X2,X3) ) ),
    inference(ennf_transformation,[],[f53]) ).

tff(f314,plain,
    ! [X0: vTType,X1: vRawTable,X2: vAttrL,X3: vPred] :
      ( vwelltypedRawtable(X0,vfilterRows(X1,X2,X3))
      | ~ vwelltypedRawtable(X0,X1) ),
    inference(ennf_transformation,[],[f293]) ).

tff(f347,plain,
    ( ~ vwelltypedtable(sK3,vfilterTable(sK4,sK5))
    & vwelltypedtable(sK3,sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f297]) ).

tff(f348,plain,
    ! [X0: vTable,X1: vPred] :
      ( ( vtable(sK6(X0,X1),sK7(X0,X1)) = X0 )
      & ( sK8(X0,X1) = X1 )
      & ( vfilterTable(X0,X1) = vtable(sK6(X0,X1),vfilterRows(sK7(X0,X1),sK6(X0,X1),sK8(X0,X1))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X2,sK6(X0,X1)),skolemize(X3,sK7(X0,X1)),skolemize(X4,sK8(X0,X1))],[f224]) ).

tff(f349,plain,
    ! [X0: vTable] : ( vtable(sK9(X0),sK10(X0)) = X0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X1,sK9(X0)),skolemize(X2,sK10(X0))],[f52]) ).

tff(f359,plain,
    ! [X0: vTType,X1: vAttrL,X2: vRawTable] :
      ( ( vwelltypedtable(X0,vtable(X1,X2))
        | ~ vmatchingAttrL(X0,X1)
        | ~ vwelltypedRawtable(X0,X2) )
      & ( ( vmatchingAttrL(X0,X1)
          & vwelltypedRawtable(X0,X2) )
        | ~ vwelltypedtable(X0,vtable(X1,X2)) ) ),
    inference(nnf_transformation,[],[f116]) ).

tff(f360,plain,
    ! [X0: vTType,X1: vAttrL,X2: vRawTable] :
      ( ( vwelltypedtable(X0,vtable(X1,X2))
        | ~ vmatchingAttrL(X0,X1)
        | ~ vwelltypedRawtable(X0,X2) )
      & ( ( vmatchingAttrL(X0,X1)
          & vwelltypedRawtable(X0,X2) )
        | ~ vwelltypedtable(X0,vtable(X1,X2)) ) ),
    inference(flattening,[],[f359]) ).

tff(f381,plain,
    vwelltypedtable(sK3,sK4),
    inference(cnf_transformation,[],[f347]) ).

tff(f382,plain,
    ~ vwelltypedtable(sK3,vfilterTable(sK4,sK5)),
    inference(cnf_transformation,[],[f347]) ).

tff(f385,plain,
    ! [X0: vTable,X1: vPred] : ( vfilterTable(X0,X1) = vtable(sK6(X0,X1),vfilterRows(sK7(X0,X1),sK6(X0,X1),sK8(X0,X1))) ),
    inference(cnf_transformation,[],[f348]) ).

tff(f386,plain,
    ! [X0: vTable,X1: vPred] : ( sK8(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f348]) ).

tff(f387,plain,
    ! [X0: vTable,X1: vPred] : ( vtable(sK6(X0,X1),sK7(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f348]) ).

tff(f399,plain,
    ! [X2: vAttrL,X3: vRawTable,X0: vAttrL,X1: vRawTable] :
      ( ( vtable(X0,X1) != vtable(X2,X3) )
      | ( X1 = X3 ) ),
    inference(cnf_transformation,[],[f313]) ).

tff(f400,plain,
    ! [X2: vAttrL,X3: vRawTable,X0: vAttrL,X1: vRawTable] :
      ( ( vtable(X0,X1) != vtable(X2,X3) )
      | ( X0 = X2 ) ),
    inference(cnf_transformation,[],[f313]) ).

tff(f401,plain,
    ! [X0: vTable] : ( vtable(sK9(X0),sK10(X0)) = X0 ),
    inference(cnf_transformation,[],[f349]) ).

tff(f402,plain,
    ! [X2: vAttrL,X3: vPred,X0: vTType,X1: vRawTable] :
      ( vwelltypedRawtable(X0,vfilterRows(X1,X2,X3))
      | ~ vwelltypedRawtable(X0,X1) ),
    inference(cnf_transformation,[],[f314]) ).

tff(f441,plain,
    ! [X2: vRawTable,X0: vTType,X1: vAttrL] :
      ( ~ vwelltypedtable(X0,vtable(X1,X2))
      | vwelltypedRawtable(X0,X2) ),
    inference(cnf_transformation,[],[f360]) ).

tff(f442,plain,
    ! [X2: vRawTable,X0: vTType,X1: vAttrL] :
      ( ~ vwelltypedtable(X0,vtable(X1,X2))
      | vmatchingAttrL(X0,X1) ),
    inference(cnf_transformation,[],[f360]) ).

tff(f443,plain,
    ! [X2: vRawTable,X0: vTType,X1: vAttrL] :
      ( vwelltypedtable(X0,vtable(X1,X2))
      | ~ vmatchingAttrL(X0,X1)
      | ~ vwelltypedRawtable(X0,X2) ),
    inference(cnf_transformation,[],[f360]) ).

tff(f528,plain,
    ~ vwelltypedtable(sK3,vtable(sK6(sK4,sK5),vfilterRows(sK7(sK4,sK5),sK6(sK4,sK5),sK8(sK4,sK5)))),
    inference(definition_unfolding,[],[f382,f385]) ).

tff(f534,plain,
    ! [X0: vTable,X1: vTType] :
      ( vwelltypedRawtable(X1,sK10(X0))
      | ~ vwelltypedtable(X1,X0) ),
    inference(superposition,[],[f441,f401]) ).

tff(f535,plain,
    ! [X0: vTable,X1: vTType] :
      ( vmatchingAttrL(X1,sK9(X0))
      | ~ vwelltypedtable(X1,X0) ),
    inference(superposition,[],[f442,f401]) ).

tff(f541,plain,
    ! [X2: vRawTable,X0: vTable,X1: vAttrL] :
      ( ( vtable(X1,X2) != X0 )
      | ( sK10(X0) = X2 ) ),
    inference(superposition,[],[f399,f401]) ).

tff(f548,plain,
    ! [X0: vAttrL,X1: vRawTable] : ( sK10(vtable(X0,X1)) = X1 ),
    inference(equality_resolution,[],[f541]) ).

tff(f549,plain,
    ! [X2: vRawTable,X0: vTable,X1: vAttrL] :
      ( ( vtable(X1,X2) != X0 )
      | ( sK9(X0) = X1 ) ),
    inference(superposition,[],[f400,f401]) ).

tff(f554,plain,
    ! [X0: vTable,X1: vPred] : ( sK7(X0,X1) = sK10(X0) ),
    inference(superposition,[],[f548,f387]) ).

tff(f574,plain,
    ! [X0: vAttrL,X1: vRawTable] : ( sK9(vtable(X0,X1)) = X0 ),
    inference(equality_resolution,[],[f549]) ).

tff(f576,plain,
    ! [X0: vTable,X1: vPred] : ( sK6(X0,X1) = sK9(X0) ),
    inference(superposition,[],[f574,f387]) ).

tff(f635,plain,
    ( ~ vmatchingAttrL(sK3,sK6(sK4,sK5))
    | ~ vwelltypedRawtable(sK3,vfilterRows(sK7(sK4,sK5),sK6(sK4,sK5),sK8(sK4,sK5))) ),
    inference(resolution,[],[f443,f528]) ).

tff(f648,plain,
    ( ~ vmatchingAttrL(sK3,sK9(sK4))
    | ~ vwelltypedRawtable(sK3,vfilterRows(sK7(sK4,sK5),sK6(sK4,sK5),sK8(sK4,sK5))) ),
    inference(forward_demodulation,[],[f635,f576]) ).

tff(f652,plain,
    ( ~ vwelltypedRawtable(sK3,vfilterRows(sK7(sK4,sK5),sK6(sK4,sK5),sK5))
    | ~ vmatchingAttrL(sK3,sK9(sK4)) ),
    inference(forward_demodulation,[],[f648,f386]) ).

tff(f654,plain,
    ( ~ vwelltypedRawtable(sK3,vfilterRows(sK7(sK4,sK5),sK9(sK4),sK5))
    | ~ vmatchingAttrL(sK3,sK9(sK4)) ),
    inference(forward_demodulation,[],[f652,f576]) ).

tff(f655,plain,
    ( ~ vwelltypedRawtable(sK3,vfilterRows(sK10(sK4),sK9(sK4),sK5))
    | ~ vmatchingAttrL(sK3,sK9(sK4)) ),
    inference(forward_demodulation,[],[f654,f554]) ).

tff(f656,plain,
    ( ~ vwelltypedRawtable(sK3,sK10(sK4))
    | ~ vmatchingAttrL(sK3,sK9(sK4)) ),
    inference(resolution,[],[f655,f402]) ).

tff(f657,plain,
    ( ~ vmatchingAttrL(sK3,sK9(sK4))
    | ~ vwelltypedtable(sK3,sK4) ),
    inference(resolution,[],[f656,f534]) ).

tff(f658,plain,
    ~ vwelltypedtable(sK3,sK4),
    inference(forward_subsumption_resolution,[],[f657,f535]) ).

tff(f659,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f658,f381]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM281_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n016.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 22:08:49 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.96  % (4085379)Detected formulas, will run a generic FOF schedule.
% 0.66/0.96  % (4085388)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1801120184:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.66/0.96  % (4085388)First to succeed.
% 0.66/0.96  % (4085388)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4085379"
% 0.66/0.96  % (4085385)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3617413645:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.66/0.96  % (4085384)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=434891021:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.66/0.96  % (4085387)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2525028505:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.66/0.96  % (4085386)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3005884581:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.66/0.96  % (4085387)Refutation not found, incomplete strategy
% 0.66/0.96  % (4085387)------------------------------
% 0.66/0.96  % (4085387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.66/0.96  % (4085387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.96  % (4085387)CaDiCaL version: 2.1.3
% 0.66/0.96  % (4085387)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.96  % (4085387)Time elapsed: 0.003 s
% 0.66/0.96  % (4085387)Peak memory usage: 88 MB
% 0.66/0.96  % (4085387)Instructions burned: 1 (million)
% 0.66/0.96  % (4085389)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=209656522:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.66/0.96  % (4085390)dis-21_1_sil=8000:lcm=predicate:random_seed=3399755933:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.66/0.96  % (4085390)Instruction limit reached! 
% 0.66/0.96  % (4085390)------------------------------
% 0.66/0.96  % (4085390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.66/0.96  % (4085390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.96  % (4085390)CaDiCaL version: 2.1.3
% 0.66/0.96  % (4085390)Termination reason: Instruction limit
% 0.66/0.96  % (4085390)Termination phase: Saturation
% 0.66/0.96  % (4085390)Time elapsed: 0.076 s
% 0.66/0.96  % (4085390)Peak memory usage: 91 MB
% 0.66/0.96  % (4085390)Instructions burned: 130 (million)
% 0.66/0.96  % (4085389)Instruction limit reached! 
% 0.66/0.96  % (4085389)------------------------------
% 0.66/0.96  % (4085389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.66/0.96  % (4085389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.96  % (4085389)CaDiCaL version: 2.1.3
% 0.66/0.96  % (4085389)Termination reason: Instruction limit
% 0.66/0.96  % (4085389)Termination phase: Saturation
% 0.66/0.96  % (4085389)Time elapsed: 0.090 s
% 0.66/0.96  % (4085389)Peak memory usage: 90 MB
% 0.66/0.96  % (4085389)Instructions burned: 139 (million)
% 0.66/0.96  % (4085388)Refutation found. Thanks to Tanya!
% 0.66/0.96  % SZS status Theorem for theBenchmark
% 0.66/0.96  % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.16  % (4085388)------------------------------
% 2.72/1.16  % (4085388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.16  % (4085388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.16  % (4085388)CaDiCaL version: 2.1.3
% 2.72/1.16  % (4085388)Termination reason: Refutation
% 2.72/1.16  % (4085388)Time elapsed: 0.007 s
% 2.72/1.16  % (4085388)Peak memory usage: 89 MB
% 2.72/1.16  % (4085388)Instructions burned: 16 (million)
% 2.72/1.16  % (4085388)------------------------------
% 2.72/1.16  % (4085388)------------------------------
% 2.72/1.16  % (4085379)Success in time 0.305 s
% 2.72/1.16  % Vampire exiting
%------------------------------------------------------------------------------