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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWW937+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 03:11:25 PM UTC 2026

% Result   : Theorem 10.74s 4.03s
% Output   : CNFRefutation 10.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   58 (  23 unt;   0 def)
%            Number of atoms       :  179 (  45 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  202 (  81   ~;  69   |;  38   &)
%                                         (  12 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;   8 con; 0-4 aty)
%            Number of variables   :  120 (   3 sgn  58   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conjecture,conjecture,
    ! [X10,X25,X26,X27,X28] :
      ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X25),s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X26))),s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X27))),s__02(cfun__02(X10,cbool__00),X28))))
     => ? [X29,X30,X31] :
          ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X27),s__02(cfun__02(X10,cbool__00),X31))))
          & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X26),s__02(cfun__02(X10,cbool__00),X30))))
          & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X25),s__02(cfun__02(X10,cbool__00),X29))))
          & p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X10,cbool__00),X28),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X29),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X30),s__02(cfun__02(X10,cbool__00),X31)))))))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).

fof('HL_FALSITY',axiom,
    ~ p__01(s__02(cbool__00,cF__00)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','HL_FALSITY') ).

fof('HL_BOOL_CASES',axiom,
    ! [X1] :
      ( s__02(cbool__00,X1) = s__02(cbool__00,cF__00)
      | s__02(cbool__00,X1) = s__02(cbool__00,cT__00) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','HL_BOOL_CASES') ).

fof('thm.bool.EQ_CLAUSES',axiom,
    ! [X9] :
      ( ( s__02(cbool__00,X9) = s__02(cbool__00,cF__00)
      <=> ~ p__01(s__02(cbool__00,X9)) )
      & ( s__02(cbool__00,cF__00) = s__02(cbool__00,X9)
      <=> ~ p__01(s__02(cbool__00,X9)) )
      & ( s__02(cbool__00,X9) = s__02(cbool__00,cT__00)
      <=> p__01(s__02(cbool__00,X9)) )
      & ( s__02(cbool__00,cT__00) = s__02(cbool__00,X9)
      <=> p__01(s__02(cbool__00,X9)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm.bool.EQ_CLAUSES') ).

fof('thm.set_sep.STAR_def',axiom,
    ! [X10,X20,X19,X6] :
      ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X20),s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X19))),s__02(cfun__02(X10,cbool__00),X6))))
    <=> ? [X22,X23] :
          ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X19),s__02(cfun__02(X10,cbool__00),X23))))
          & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X20),s__02(cfun__02(X10,cbool__00),X22))))
          & p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X10,cbool__00),X6),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(cfun__02(X10,cbool__00),X23)))))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm.set_sep.STAR_def') ).

fof('thm.set_sep.SPLIT_def',axiom,
    ! [X10,X21,X22,X23] :
      ( p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X10,cbool__00),X21),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(cfun__02(X10,cbool__00),X23))))))
    <=> ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(cfun__02(X10,cbool__00),X23))))
        & s__02(cfun__02(X10,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(cfun__02(X10,cbool__00),X23))) = s__02(cfun__02(X10,cbool__00),X21) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm.set_sep.SPLIT_def') ).

fof('HL_TRUTH',axiom,
    p__01(s__02(cbool__00,cT__00)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','HL_TRUTH') ).

fof('thm.cfHeapsBase.SPLIT3_def',axiom,
    ! [X10,X21,X22,X23,X24] :
      ( p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X10,cbool__00),X21),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X23),s__02(cfun__02(X10,cbool__00),X24))))))))
    <=> ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(cfun__02(X10,cbool__00),X24))))
        & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X10,cbool__00),X23),s__02(cfun__02(X10,cbool__00),X24))))
        & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(cfun__02(X10,cbool__00),X23))))
        & s__02(cfun__02(X10,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X10,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X10,cbool__00),X22),s__02(cfun__02(X10,cbool__00),X23))),s__02(cfun__02(X10,cbool__00),X24))) = s__02(cfun__02(X10,cbool__00),X21) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm.cfHeapsBase.SPLIT3_def') ).

fof('thm.pred_set.DISJOINT_UNION',axiom,
    ! [X10,X21,X9,X22] :
      ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X10,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X10,cbool__00),X21),s__02(cfun__02(X10,cbool__00),X9))),s__02(cfun__02(X10,cbool__00),X22))))
    <=> ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X10,cbool__00),X9),s__02(cfun__02(X10,cbool__00),X22))))
        & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X10,cbool__00),X21),s__02(cfun__02(X10,cbool__00),X22)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm.pred_set.DISJOINT_UNION') ).

fof(c_0_9,negated_conjecture,
    ~ ! [X10,X25,X26,X27,X28] :
        ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X25),s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X26))),s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X27))),s__02(cfun__02(X10,cbool__00),X28))))
       => ? [X29,X30,X31] :
            ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X27),s__02(cfun__02(X10,cbool__00),X31))))
            & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X26),s__02(cfun__02(X10,cbool__00),X30))))
            & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X10,cbool__00),cbool__00),X25),s__02(cfun__02(X10,cbool__00),X29))))
            & p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X10,cbool__00),X28),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X29),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X10,cbool__00),cfun__02(X10,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X10,cbool__00),X30),s__02(cfun__02(X10,cbool__00),X31)))))))) ) ),
    inference(assume_negation,[status(cth)],[conjecture]) ).

fof(c_0_10,plain,
    ~ p__01(s__02(cbool__00,cF__00)),
    inference(fof_simplification,[status(thm)],['HL_FALSITY']) ).

fof(c_0_11,negated_conjecture,
    ! [X105,X106,X107] :
      ( ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),X107))))
        | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0),s__02(cfun__02(esk4_0,cbool__00),X106))))
        | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(esk4_0,cbool__00),X105))))
        | ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(esk4_0,cbool__00),esk8_0),s__02(c_27type_2epair_2eprod_27__02(cfun__02(esk4_0,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(esk4_0,cbool__00),cfun__02(esk4_0,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(esk4_0,cbool__00),X105),s__02(c_27type_2epair_2eprod_27__02(cfun__02(esk4_0,cbool__00),cfun__02(esk4_0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(esk4_0,cbool__00),X106),s__02(cfun__02(esk4_0,cbool__00),X107)))))))) )
      & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0))),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0))),s__02(cfun__02(esk4_0,cbool__00),esk8_0)))) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).

fof(c_0_12,plain,
    ! [X32] :
      ( s__02(cbool__00,X32) = s__02(cbool__00,cF__00)
      | s__02(cbool__00,X32) = s__02(cbool__00,cT__00) ),
    inference(variable_rename,[status(thm)],['HL_BOOL_CASES']) ).

fof(c_0_13,plain,
    ~ p__01(s__02(cbool__00,cF__00)),
    inference(fof_nnf,[status(thm)],[c_0_10]) ).

fof(c_0_14,plain,
    ! [X9] :
      ( ( s__02(cbool__00,X9) = s__02(cbool__00,cF__00)
      <=> ~ p__01(s__02(cbool__00,X9)) )
      & ( s__02(cbool__00,cF__00) = s__02(cbool__00,X9)
      <=> ~ p__01(s__02(cbool__00,X9)) )
      & ( s__02(cbool__00,X9) = s__02(cbool__00,cT__00)
      <=> p__01(s__02(cbool__00,X9)) )
      & ( s__02(cbool__00,cT__00) = s__02(cbool__00,X9)
      <=> p__01(s__02(cbool__00,X9)) ) ),
    inference(fof_simplification,[status(thm)],['thm.bool.EQ_CLAUSES']) ).

fof(c_0_15,plain,
    ! [X83,X84,X85,X86,X89,X90,X91,X92,X93,X94] :
      ( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X89,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X89,cbool__00),cbool__00),X90),s__02(cfun__02(cfun__02(X89,cbool__00),cbool__00),X91))),s__02(cfun__02(X89,cbool__00),X92))))
        | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X89,cbool__00),cbool__00),X91),s__02(cfun__02(X89,cbool__00),X94))))
        | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X89,cbool__00),cbool__00),X90),s__02(cfun__02(X89,cbool__00),X93))))
        | ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X89,cbool__00),X92),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X89,cbool__00),cfun__02(X89,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X89,cbool__00),X93),s__02(cfun__02(X89,cbool__00),X94)))))) )
      & ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X84),s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X85))),s__02(cfun__02(X83,cbool__00),X86))))
        | p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X85),s__02(cfun__02(X83,cbool__00),esk3_4(X83,X84,X85,X86))))) )
      & ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X84),s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X85))),s__02(cfun__02(X83,cbool__00),X86))))
        | p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X84),s__02(cfun__02(X83,cbool__00),esk2_4(X83,X84,X85,X86))))) )
      & ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X84),s__02(cfun__02(cfun__02(X83,cbool__00),cbool__00),X85))),s__02(cfun__02(X83,cbool__00),X86))))
        | p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X83,cbool__00),X86),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X83,cbool__00),cfun__02(X83,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X83,cbool__00),esk2_4(X83,X84,X85,X86)),s__02(cfun__02(X83,cbool__00),esk3_4(X83,X84,X85,X86))))))) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.set_sep.STAR_def'])])])])])])]) ).

cnf(c_0_16,negated_conjecture,
    p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0))),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0))),s__02(cfun__02(esk4_0,cbool__00),esk8_0)))),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    ( s__02(cbool__00,X1) = s__02(cbool__00,cF__00)
    | s__02(cbool__00,X1) = s__02(cbool__00,cT__00) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    ~ p__01(s__02(cbool__00,cF__00)),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_19,plain,
    ! [X79,X80,X81,X82] :
      ( ( p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X79,cbool__00),X80),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X79,cbool__00),cfun__02(X79,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X79,cbool__00),X81),s__02(cfun__02(X79,cbool__00),X82))))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X79,cbool__00),X81),s__02(cfun__02(X79,cbool__00),X82))))
        | s__02(cfun__02(X79,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X79,cbool__00),X81),s__02(cfun__02(X79,cbool__00),X82))) != s__02(cfun__02(X79,cbool__00),X80) )
      & ( ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X79,cbool__00),X80),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X79,cbool__00),cfun__02(X79,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X79,cbool__00),X81),s__02(cfun__02(X79,cbool__00),X82))))))
        | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X79,cbool__00),X81),s__02(cfun__02(X79,cbool__00),X82)))) )
      & ( ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X79,cbool__00),X80),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X79,cbool__00),cfun__02(X79,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X79,cbool__00),X81),s__02(cfun__02(X79,cbool__00),X82))))))
        | s__02(cfun__02(X79,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X79,cbool__00),X81),s__02(cfun__02(X79,cbool__00),X82))) = s__02(cfun__02(X79,cbool__00),X80) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.set_sep.SPLIT_def'])])])]) ).

fof(c_0_20,plain,
    ! [X46] :
      ( ( s__02(cbool__00,X46) = s__02(cbool__00,cF__00)
        | p__01(s__02(cbool__00,X46)) )
      & ( ~ p__01(s__02(cbool__00,X46))
        | s__02(cbool__00,X46) != s__02(cbool__00,cF__00) )
      & ( s__02(cbool__00,cF__00) = s__02(cbool__00,X46)
        | p__01(s__02(cbool__00,X46)) )
      & ( ~ p__01(s__02(cbool__00,X46))
        | s__02(cbool__00,cF__00) != s__02(cbool__00,X46) )
      & ( s__02(cbool__00,X46) = s__02(cbool__00,cT__00)
        | ~ p__01(s__02(cbool__00,X46)) )
      & ( p__01(s__02(cbool__00,X46))
        | s__02(cbool__00,X46) != s__02(cbool__00,cT__00) )
      & ( s__02(cbool__00,cT__00) = s__02(cbool__00,X46)
        | ~ p__01(s__02(cbool__00,X46)) )
      & ( p__01(s__02(cbool__00,X46))
        | s__02(cbool__00,cT__00) != s__02(cbool__00,X46) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

cnf(c_0_21,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X2),s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X3))),s__02(cfun__02(X1,cbool__00),X4))))
    | p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X2),s__02(cfun__02(X1,cbool__00),esk2_4(X1,X2,X3,X4))))) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0))),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0))),s__02(cfun__02(esk4_0,cbool__00),esk8_0))) = s__02(cbool__00,cT__00),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_23,plain,
    p__01(s__02(cbool__00,cT__00)),
    inference(split_conjunct,[status(thm)],['HL_TRUTH']) ).

cnf(c_0_24,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X1,cbool__00),X4),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X1,cbool__00),cfun__02(X1,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3))))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3)))) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X3),s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X4))),s__02(cfun__02(X1,cbool__00),X2))))
    | p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X1,cbool__00),cfun__02(X1,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X1,cbool__00),esk2_4(X1,X3,X4,X2)),s__02(cfun__02(X1,cbool__00),esk3_4(X1,X3,X4,X2))))))) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_26,plain,
    ( ~ p__01(s__02(cbool__00,X1))
    | s__02(cbool__00,X1) = s__02(cbool__00,cT__00) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,negated_conjecture,
    p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0))),s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).

fof(c_0_28,plain,
    ! [X95,X96,X97,X98,X99] :
      ( ( p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X95,cbool__00),X96),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X98),s__02(cfun__02(X95,cbool__00),X99))))))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(cfun__02(X95,cbool__00),X99))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X95,cbool__00),X98),s__02(cfun__02(X95,cbool__00),X99))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(cfun__02(X95,cbool__00),X98))))
        | s__02(cfun__02(X95,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X95,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(cfun__02(X95,cbool__00),X98))),s__02(cfun__02(X95,cbool__00),X99))) != s__02(cfun__02(X95,cbool__00),X96) )
      & ( ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X95,cbool__00),X96),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X98),s__02(cfun__02(X95,cbool__00),X99))))))))
        | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(cfun__02(X95,cbool__00),X99)))) )
      & ( ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X95,cbool__00),X96),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X98),s__02(cfun__02(X95,cbool__00),X99))))))))
        | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X95,cbool__00),X98),s__02(cfun__02(X95,cbool__00),X99)))) )
      & ( ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X95,cbool__00),X96),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X98),s__02(cfun__02(X95,cbool__00),X99))))))))
        | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(cfun__02(X95,cbool__00),X98)))) )
      & ( ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X95,cbool__00),X96),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X95,cbool__00),cfun__02(X95,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X95,cbool__00),X98),s__02(cfun__02(X95,cbool__00),X99))))))))
        | s__02(cfun__02(X95,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X95,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X95,cbool__00),X97),s__02(cfun__02(X95,cbool__00),X98))),s__02(cfun__02(X95,cbool__00),X99))) = s__02(cfun__02(X95,cbool__00),X96) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.cfHeapsBase.SPLIT3_def'])])])]) ).

cnf(c_0_29,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X1,cbool__00),X4),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X1,cbool__00),cfun__02(X1,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3))))))
    | s__02(cfun__02(X1,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3))) = s__02(cfun__02(X1,cbool__00),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_30,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X3),s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X2))),s__02(cfun__02(X1,cbool__00),X4))))
    | p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X2),s__02(cfun__02(X1,cbool__00),esk3_4(X1,X3,X2,X4))))) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_31,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X2),s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X3))),s__02(cfun__02(X1,cbool__00),X4))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),esk2_4(X1,X2,X3,X4)),s__02(cfun__02(X1,cbool__00),esk3_4(X1,X2,X3,X4))))) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_32,negated_conjecture,
    s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0))),s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))) = s__02(cbool__00,cT__00),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),X3))))
    | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0),s__02(cfun__02(esk4_0,cbool__00),X2))))
    | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(esk4_0,cbool__00),X1))))
    | ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(esk4_0,cbool__00),esk8_0),s__02(c_27type_2epair_2eprod_27__02(cfun__02(esk4_0,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(esk4_0,cbool__00),cfun__02(esk4_0,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(esk4_0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(esk4_0,cbool__00),cfun__02(esk4_0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(esk4_0,cbool__00),X2),s__02(cfun__02(esk4_0,cbool__00),X3)))))))) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_34,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X4))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),X3),s__02(cfun__02(X1,cbool__00),X4))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3))))
    | s__02(cfun__02(X1,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X1,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3))),s__02(cfun__02(X1,cbool__00),X4))) != s__02(cfun__02(X1,cbool__00),X5)
    | p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X1,cbool__00),X5),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X1,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X1,cbool__00),cfun__02(X1,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X1,cbool__00),cfun__02(X1,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X1,cbool__00),X3),s__02(cfun__02(X1,cbool__00),X4)))))))) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X2),s__02(cfun__02(cfun__02(X1,cbool__00),cbool__00),X3))),s__02(cfun__02(X1,cbool__00),X4))))
    | s__02(cfun__02(X1,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X1,cbool__00),esk2_4(X1,X2,X3,X4)),s__02(cfun__02(X1,cbool__00),esk3_4(X1,X2,X3,X4)))) = s__02(cfun__02(X1,cbool__00),X4) ),
    inference(spm,[status(thm)],[c_0_29,c_0_25]) ).

cnf(c_0_36,negated_conjecture,
    p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))))),
    inference(spm,[status(thm)],[c_0_21,c_0_27]) ).

cnf(c_0_37,negated_conjecture,
    p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))))),
    inference(spm,[status(thm)],[c_0_30,c_0_27]) ).

cnf(c_0_38,negated_conjecture,
    p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_23])]) ).

fof(c_0_39,plain,
    ! [X75,X76,X77,X78] :
      ( ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X75,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X75,cbool__00),X76),s__02(cfun__02(X75,cbool__00),X77))),s__02(cfun__02(X75,cbool__00),X78))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X75,cbool__00),X77),s__02(cfun__02(X75,cbool__00),X78))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X75,cbool__00),X76),s__02(cfun__02(X75,cbool__00),X78)))) )
      & ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X75,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X75,cbool__00),X76),s__02(cfun__02(X75,cbool__00),X77))),s__02(cfun__02(X75,cbool__00),X78))))
        | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X75,cbool__00),X77),s__02(cfun__02(X75,cbool__00),X78)))) )
      & ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X75,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X75,cbool__00),X76),s__02(cfun__02(X75,cbool__00),X77))),s__02(cfun__02(X75,cbool__00),X78))))
        | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X75,cbool__00),X76),s__02(cfun__02(X75,cbool__00),X78)))) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['thm.pred_set.DISJOINT_UNION'])])])]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),X1),s__02(cfun__02(esk4_0,cbool__00),X2))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),X1),s__02(cfun__02(esk4_0,cbool__00),X3))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),X2),s__02(cfun__02(esk4_0,cbool__00),X3))))
    | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),X3))))
    | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0),s__02(cfun__02(esk4_0,cbool__00),X2))))
    | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(esk4_0,cbool__00),X1))))
    | s__02(cfun__02(esk4_0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(esk4_0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(esk4_0,cbool__00),X1),s__02(cfun__02(esk4_0,cbool__00),X2))),s__02(cfun__02(esk4_0,cbool__00),X3))) != s__02(cfun__02(esk4_0,cbool__00),esk8_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    s__02(cfun__02(esk4_0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))) = s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_23])]) ).

cnf(c_0_42,negated_conjecture,
    s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))) = s__02(cbool__00,cT__00),
    inference(spm,[status(thm)],[c_0_26,c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))) = s__02(cbool__00,cT__00),
    inference(spm,[status(thm)],[c_0_26,c_0_37]) ).

cnf(c_0_44,negated_conjecture,
    s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))) = s__02(cbool__00,cT__00),
    inference(spm,[status(thm)],[c_0_26,c_0_38]) ).

cnf(c_0_45,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X1,cbool__00),X4),s__02(cfun__02(X1,cbool__00),X2))),s__02(cfun__02(X1,cbool__00),X3))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3)))) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),X1))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),X1))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),X1))))
    | s__02(cfun__02(esk4_0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),X1))) != s__02(cfun__02(esk4_0,cbool__00),esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_23]),c_0_43]),c_0_23]),c_0_44]),c_0_23])]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),X1))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),X1)))) ),
    inference(spm,[status(thm)],[c_0_45,c_0_41]) ).

cnf(c_0_48,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X4))),s__02(cfun__02(X1,cbool__00),X3))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X1,cbool__00),X2),s__02(cfun__02(X1,cbool__00),X3)))) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),X1))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),X1))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),X1))))
    | s__02(cfun__02(esk4_0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),X1))) != s__02(cfun__02(esk4_0,cbool__00),esk8_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),X1))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,esk5_0,esk6_0,esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))),s__02(cfun__02(esk4_0,cbool__00),X1)))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_41]) ).

cnf(c_0_51,negated_conjecture,
    p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_22]),c_0_23])]) ).

cnf(c_0_52,negated_conjecture,
    p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0))))),
    inference(spm,[status(thm)],[c_0_30,c_0_16]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),X1))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),X1))))
    | s__02(cfun__02(esk4_0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),X1))) != s__02(cfun__02(esk4_0,cbool__00),esk8_0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_54,negated_conjecture,
    s__02(cfun__02(esk4_0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))) = s__02(cfun__02(esk4_0,cbool__00),esk8_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_22]),c_0_23])]) ).

cnf(c_0_55,negated_conjecture,
    s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(esk4_0,cbool__00),esk2_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))) = s__02(cbool__00,cT__00),
    inference(spm,[status(thm)],[c_0_26,c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk7_0),s__02(cfun__02(esk4_0,cbool__00),esk3_4(esk4_0,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk5_0),s__02(cfun__02(cfun__02(esk4_0,cbool__00),cbool__00),esk6_0)),esk7_0,esk8_0)))) = s__02(cbool__00,cT__00),
    inference(spm,[status(thm)],[c_0_26,c_0_52]) ).

cnf(c_0_57,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_23]),c_0_56]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW937+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n018.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep 21 10:21:28 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43  Running first-order theorem proving
% 0.14/0.43  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
% 10.74/4.03  % Version: 3.5.1
% 10.74/4.03  % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.74/4.03  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.74/4.03  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.74/4.03  % Starting new_bool_3 with 300s (1) cores
% 10.74/4.03  % Starting new_bool_1 with 300s (1) cores
% 10.74/4.03  % Starting sh5l with 300s (1) cores
% 10.74/4.03  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1634655 completed with status 0
% 10.74/4.03  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 10.74/4.03  % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.74/4.03  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.74/4.03  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.74/4.03  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.74/4.03  % No SInE strategy applied
% 10.74/4.03  % Search class: FGHSF-FFLM32-DFFFFFNN
% 10.74/4.03  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 10.74/4.03  % Starting SubtermCWHack with 136s (1) cores
% 10.74/4.03  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 10.74/4.03  % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 226s (1) cores
% 10.74/4.03  % Starting new_bool_3 with 226s (1) cores
% 10.74/4.03  % Starting new_bool_1 with 226s (1) cores
% 10.74/4.03  % G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 1634664 completed with status 0
% 10.74/4.03  % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 10.74/4.03  % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.74/4.03  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.74/4.03  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.74/4.03  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.74/4.03  % No SInE strategy applied
% 10.74/4.03  % Search class: FGHSF-FFLM32-DFFFFFNN
% 10.74/4.03  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 10.74/4.03  % Starting SubtermCWHack with 136s (1) cores
% 10.74/4.03  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 10.74/4.03  % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 226s (1) cores
% 10.74/4.03  % Preprocessing time       : 0.176 s
% 10.74/4.03  
% 10.74/4.03  % Proof found!
% 10.74/4.03  % SZS status Theorem
% 10.74/4.03  % SZS output start CNFRefutation
% See solution above
% 10.74/4.03  % Parsed axioms                        : 29
% 10.74/4.03  % Removed by relevancy pruning/SinE    : 0
% 10.74/4.03  % Initial clauses                      : 233
% 10.74/4.03  % Removed in clause preprocessing      : 168
% 10.74/4.03  % Initial clauses in saturation        : 65
% 10.74/4.03  % Processed clauses                    : 1792
% 10.74/4.03  % ...of these trivial                  : 21
% 10.74/4.03  % ...subsumed                          : 1461
% 10.74/4.03  % ...remaining for further processing  : 310
% 10.74/4.03  % Other redundant clauses eliminated   : 0
% 10.74/4.03  % Clauses deleted for lack of memory   : 0
% 10.74/4.03  % Backward-subsumed                    : 17
% 10.74/4.03  % Backward-rewritten                   : 13
% 10.74/4.03  % Generated clauses                    : 57556
% 10.74/4.03  % ...of the previous two non-redundant : 53365
% 10.74/4.03  % ...aggressively subsumed             : 0
% 10.74/4.03  % Contextual simplify-reflections      : 1
% 10.74/4.03  % Paramodulations                      : 56925
% 10.74/4.03  % Factorizations                       : 585
% 10.74/4.03  % NegExts                              : 0
% 10.74/4.03  % Equation resolutions                 : 46
% 10.74/4.03  % Disequality decompositions           : 0
% 10.74/4.03  % Total rewrite steps                  : 3264
% 10.74/4.03  % ...of those cached                   : 3247
% 10.74/4.03  % Propositional unsat checks           : 0
% 10.74/4.03  %    Propositional check models        : 0
% 10.74/4.03  %    Propositional check unsatisfiable : 0
% 10.74/4.03  %    Propositional clauses             : 0
% 10.74/4.03  %    Propositional clauses after purity: 0
% 10.74/4.03  %    Propositional unsat core size     : 0
% 10.74/4.03  %    Propositional preprocessing time  : 0.000
% 10.74/4.03  %    Propositional encoding time       : 0.000
% 10.74/4.04  %    Propositional solver time         : 0.000
% 10.74/4.04  %    Success case prop preproc time    : 0.000
% 10.74/4.04  %    Success case prop encoding time   : 0.000
% 10.74/4.04  %    Success case prop solver time     : 0.000
% 10.74/4.04  % Current number of processed clauses  : 280
% 10.74/4.04  %    Positive orientable unit clauses  : 10
% 10.74/4.04  %    Positive unorientable unit clauses: 0
% 10.74/4.04  %    Negative unit clauses             : 2
% 10.74/4.04  %    Non-unit-clauses                  : 268
% 10.74/4.04  % Current number of unprocessed clauses: 51288
% 10.74/4.04  % ...number of literals in the above   : 327771
% 10.74/4.04  % Current number of archived formulas  : 0
% 10.74/4.04  % Current number of archived clauses   : 30
% 10.74/4.04  % Clause-clause subsumption calls (NU) : 33213
% 10.74/4.04  % Rec. Clause-clause subsumption calls : 8821
% 10.74/4.04  % Non-unit clause-clause subsumptions  : 1220
% 10.74/4.04  % Unit Clause-clause subsumption calls : 39
% 10.74/4.04  % Rewrite failures with RHS unbound    : 0
% 10.74/4.04  % BW rewrite match attempts            : 181
% 10.74/4.04  % BW rewrite match successes           : 7
% 10.74/4.04  % Condensation attempts                : 0
% 10.74/4.04  % Condensation successes               : 0
% 10.74/4.04  % Termbank termtop insertions          : 3478492
% 10.74/4.04  % Search garbage collected termcells   : 1865
% 10.74/4.04  
% 10.74/4.04  % -------------------------------------------------
% 10.74/4.04  % User time                : 3.110 s
% 10.74/4.04  % System time              : 0.089 s
% 10.74/4.04  % Total time               : 3.199 s
% 10.74/4.04  % Maximum resident set size: 4212 pages
% 10.74/4.04  
% 10.74/4.04  % -------------------------------------------------
% 10.74/4.04  % User time                : 16.427 s
% 10.74/4.04  % System time              : 0.352 s
% 10.74/4.04  % Total time               : 16.779 s
% 10.74/4.04  % Maximum resident set size: 4864 pages
% 10.74/4.04  % E exiting
%------------------------------------------------------------------------------