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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : RNG112+4 : TPTP v9.3.1. Released v4.0.0.
% 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 02:05:54 PM UTC 2026

% Result   : Theorem 0.14s 0.48s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   28 (   8 unt;   0 def)
%            Number of atoms       :  308 ( 119 equ)
%            Maximal formula atoms :   68 (  11 avg)
%            Number of connectives :  411 ( 131   ~; 142   |; 121   &)
%                                         (   7 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  10 con; 0-2 aty)
%            Number of variables   :   95 (   0 sgn  43   !;  43   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2228,hypothesis,
    ? [X1] :
      ( X1 != sz00
      & aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
      & ? [X2,X3] :
          ( sdtpldt0(X2,X3) = X1
          & aElementOf0(X3,slsdtgt0(xb))
          & aElementOf0(X2,slsdtgt0(xa)) )
      & ! [X2] :
          ( aElementOf0(X2,slsdtgt0(xb))
        <=> ? [X3] :
              ( sdtasdt0(xb,X3) = X2
              & aElement0(X3) ) )
      & ! [X2] :
          ( aElementOf0(X2,slsdtgt0(xa))
        <=> ? [X3] :
              ( sdtasdt0(xa,X3) = X2
              & aElement0(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2228) ).

fof(m__,conjecture,
    ? [X1] :
      ( ! [X2] :
          ( ( X2 != sz00
            & aElementOf0(X2,xI)
            & ? [X3,X4] :
                ( sdtpldt0(X3,X4) = X2
                & aElementOf0(X4,slsdtgt0(xb))
                & aElementOf0(X3,slsdtgt0(xa)) ) )
         => ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) )
      & X1 != sz00
      & ( aElementOf0(X1,xI)
        | ? [X2,X3] :
            ( sdtpldt0(X2,X3) = X1
            & aElementOf0(X3,slsdtgt0(xb))
            & aElementOf0(X2,slsdtgt0(xa)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(m__2351,hypothesis,
    ! [X1] :
      ( ( X1 != sz00
        & ( aElementOf0(X1,xI)
          | ? [X2,X3] :
              ( sdtpldt0(X2,X3) = X1
              & aElementOf0(X3,slsdtgt0(xb))
              & aElementOf0(X2,slsdtgt0(xa)) ) ) )
     => ? [X2] :
          ( ! [X3] :
              ( ( X3 != sz00
                & ( aElementOf0(X3,xI)
                  | ? [X4,X5] :
                      ( sdtpldt0(X4,X5) = X3
                      & aElementOf0(X5,slsdtgt0(xb))
                      & aElementOf0(X4,slsdtgt0(xa)) ) ) )
             => ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X2)) )
          & X2 != sz00
          & aElementOf0(X2,xI)
          & ? [X3,X4] :
              ( sdtpldt0(X3,X4) = X2
              & aElementOf0(X4,slsdtgt0(xb))
              & aElementOf0(X3,slsdtgt0(xa)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2351) ).

fof(m__2174,hypothesis,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X1] :
        ( aElementOf0(X1,xI)
      <=> ? [X2,X3] :
            ( sdtpldt0(X2,X3) = X1
            & aElementOf0(X3,slsdtgt0(xb))
            & aElementOf0(X2,slsdtgt0(xa)) ) )
    & ! [X1] :
        ( aElementOf0(X1,slsdtgt0(xb))
      <=> ? [X2] :
            ( sdtasdt0(xb,X2) = X1
            & aElement0(X2) ) )
    & ! [X1] :
        ( aElementOf0(X1,slsdtgt0(xa))
      <=> ? [X2] :
            ( sdtasdt0(xa,X2) = X1
            & aElement0(X2) ) )
    & aIdeal0(xI)
    & ! [X1] :
        ( aElementOf0(X1,xI)
       => ( ! [X2] :
              ( aElement0(X2)
             => aElementOf0(sdtasdt0(X2,X1),xI) )
          & ! [X2] :
              ( aElementOf0(X2,xI)
             => aElementOf0(sdtpldt0(X1,X2),xI) ) ) )
    & aSet0(xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

fof(c_0_4,hypothesis,
    ? [X1] :
      ( X1 != sz00
      & aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
      & ? [X2,X3] :
          ( sdtpldt0(X2,X3) = X1
          & aElementOf0(X3,slsdtgt0(xb))
          & aElementOf0(X2,slsdtgt0(xa)) )
      & ! [X2] :
          ( aElementOf0(X2,slsdtgt0(xb))
        <=> ? [X3] :
              ( sdtasdt0(xb,X3) = X2
              & aElement0(X3) ) )
      & ! [X2] :
          ( aElementOf0(X2,slsdtgt0(xa))
        <=> ? [X3] :
              ( sdtasdt0(xa,X3) = X2
              & aElement0(X3) ) ) ),
    inference(fof_simplification,[status(thm)],[m__2228]) ).

fof(c_0_5,negated_conjecture,
    ~ ? [X1] :
        ( ! [X2] :
            ( ( X2 != sz00
              & aElementOf0(X2,xI)
              & ? [X3,X4] :
                  ( sdtpldt0(X3,X4) = X2
                  & aElementOf0(X4,slsdtgt0(xb))
                  & aElementOf0(X3,slsdtgt0(xa)) ) )
           => ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) )
        & X1 != sz00
        & ( aElementOf0(X1,xI)
          | ? [X2,X3] :
              ( sdtpldt0(X2,X3) = X1
              & aElementOf0(X3,slsdtgt0(xb))
              & aElementOf0(X2,slsdtgt0(xa)) ) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_6,hypothesis,
    ! [X1] :
      ( ( X1 != sz00
        & ( aElementOf0(X1,xI)
          | ? [X2,X3] :
              ( sdtpldt0(X2,X3) = X1
              & aElementOf0(X3,slsdtgt0(xb))
              & aElementOf0(X2,slsdtgt0(xa)) ) ) )
     => ? [X2] :
          ( ! [X3] :
              ( ( X3 != sz00
                & ( aElementOf0(X3,xI)
                  | ? [X4,X5] :
                      ( sdtpldt0(X4,X5) = X3
                      & aElementOf0(X5,slsdtgt0(xb))
                      & aElementOf0(X4,slsdtgt0(xa)) ) ) )
             => ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X2)) )
          & X2 != sz00
          & aElementOf0(X2,xI)
          & ? [X3,X4] :
              ( sdtpldt0(X3,X4) = X2
              & aElementOf0(X4,slsdtgt0(xb))
              & aElementOf0(X3,slsdtgt0(xa)) ) ) ),
    inference(fof_simplification,[status(thm)],[m__2351]) ).

fof(c_0_7,hypothesis,
    ! [X144,X146,X147,X149] :
      ( esk32_0 != sz00
      & aElementOf0(esk32_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
      & sdtpldt0(esk35_0,esk36_0) = esk32_0
      & aElementOf0(esk36_0,slsdtgt0(xb))
      & aElementOf0(esk35_0,slsdtgt0(xa))
      & ( aElementOf0(X147,slsdtgt0(xb))
        | sdtasdt0(xb,X149) != X147
        | ~ aElement0(X149) )
      & ( ~ aElementOf0(X147,slsdtgt0(xb))
        | sdtasdt0(xb,esk34_1(X147)) = X147 )
      & ( ~ aElementOf0(X147,slsdtgt0(xb))
        | aElement0(esk34_1(X147)) )
      & ( aElementOf0(X144,slsdtgt0(xa))
        | sdtasdt0(xa,X146) != X144
        | ~ aElement0(X146) )
      & ( ~ aElementOf0(X144,slsdtgt0(xa))
        | sdtasdt0(xa,esk33_1(X144)) = X144 )
      & ( ~ aElementOf0(X144,slsdtgt0(xa))
        | aElement0(esk33_1(X144)) ) ),
    inference(distribute,[status(thm)],[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_4])])])])])]) ).

fof(c_0_8,hypothesis,
    ! [X122,X123,X124,X125,X127,X128,X129,X131,X132,X133,X136,X137,X138] :
      ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
      & ( aElementOf0(X136,xI)
        | sdtpldt0(X137,X138) != X136
        | ~ aElementOf0(X138,slsdtgt0(xb))
        | ~ aElementOf0(X137,slsdtgt0(xa)) )
      & ( ~ aElementOf0(X133,xI)
        | sdtpldt0(esk26_1(X133),esk27_1(X133)) = X133 )
      & ( ~ aElementOf0(X133,xI)
        | aElementOf0(esk27_1(X133),slsdtgt0(xb)) )
      & ( ~ aElementOf0(X133,xI)
        | aElementOf0(esk26_1(X133),slsdtgt0(xa)) )
      & ( aElementOf0(X131,slsdtgt0(xb))
        | sdtasdt0(xb,X132) != X131
        | ~ aElement0(X132) )
      & ( ~ aElementOf0(X129,slsdtgt0(xb))
        | sdtasdt0(xb,esk25_1(X129)) = X129 )
      & ( ~ aElementOf0(X129,slsdtgt0(xb))
        | aElement0(esk25_1(X129)) )
      & ( aElementOf0(X127,slsdtgt0(xa))
        | sdtasdt0(xa,X128) != X127
        | ~ aElement0(X128) )
      & ( ~ aElementOf0(X125,slsdtgt0(xa))
        | sdtasdt0(xa,esk24_1(X125)) = X125 )
      & ( ~ aElementOf0(X125,slsdtgt0(xa))
        | aElement0(esk24_1(X125)) )
      & aIdeal0(xI)
      & ( ~ aElementOf0(X122,xI)
        | aElementOf0(sdtasdt0(X124,X122),xI)
        | ~ aElement0(X124) )
      & ( ~ aElementOf0(X122,xI)
        | aElementOf0(sdtpldt0(X122,X123),xI)
        | ~ aElementOf0(X123,xI) )
      & aSet0(xI) ),
    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)],[m__2174])])])])])])]) ).

fof(c_0_9,negated_conjecture,
    ~ ? [X1] :
        ( ! [X2] :
            ( ( X2 != sz00
              & aElementOf0(X2,xI)
              & ? [X3,X4] :
                  ( sdtpldt0(X3,X4) = X2
                  & aElementOf0(X4,slsdtgt0(xb))
                  & aElementOf0(X3,slsdtgt0(xa)) ) )
           => ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) )
        & X1 != sz00
        & ( aElementOf0(X1,xI)
          | ? [X2,X3] :
              ( sdtpldt0(X2,X3) = X1
              & aElementOf0(X3,slsdtgt0(xb))
              & aElementOf0(X2,slsdtgt0(xa)) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_10,hypothesis,
    ! [X152,X153,X154,X158,X159,X160] :
      ( ( X152 = sz00
        | ~ aElementOf0(X152,xI)
        | ~ iLess0(sbrdtbr0(X158),sbrdtbr0(esk37_0))
        | X158 = sz00
        | ~ aElementOf0(X158,xI) )
      & ( X152 = sz00
        | ~ aElementOf0(X152,xI)
        | ~ iLess0(sbrdtbr0(X158),sbrdtbr0(esk37_0))
        | X158 = sz00
        | sdtpldt0(X159,X160) != X158
        | ~ aElementOf0(X160,slsdtgt0(xb))
        | ~ aElementOf0(X159,slsdtgt0(xa)) )
      & ( X152 = sz00
        | ~ aElementOf0(X152,xI)
        | esk37_0 != sz00 )
      & ( X152 = sz00
        | ~ aElementOf0(X152,xI)
        | aElementOf0(esk37_0,xI) )
      & ( X152 = sz00
        | ~ aElementOf0(X152,xI)
        | sdtpldt0(esk38_0,esk39_0) = esk37_0 )
      & ( X152 = sz00
        | ~ aElementOf0(X152,xI)
        | aElementOf0(esk39_0,slsdtgt0(xb)) )
      & ( X152 = sz00
        | ~ aElementOf0(X152,xI)
        | aElementOf0(esk38_0,slsdtgt0(xa)) )
      & ( X152 = sz00
        | sdtpldt0(X153,X154) != X152
        | ~ aElementOf0(X154,slsdtgt0(xb))
        | ~ aElementOf0(X153,slsdtgt0(xa))
        | ~ iLess0(sbrdtbr0(X158),sbrdtbr0(esk37_0))
        | X158 = sz00
        | ~ aElementOf0(X158,xI) )
      & ( X152 = sz00
        | sdtpldt0(X153,X154) != X152
        | ~ aElementOf0(X154,slsdtgt0(xb))
        | ~ aElementOf0(X153,slsdtgt0(xa))
        | ~ iLess0(sbrdtbr0(X158),sbrdtbr0(esk37_0))
        | X158 = sz00
        | sdtpldt0(X159,X160) != X158
        | ~ aElementOf0(X160,slsdtgt0(xb))
        | ~ aElementOf0(X159,slsdtgt0(xa)) )
      & ( X152 = sz00
        | sdtpldt0(X153,X154) != X152
        | ~ aElementOf0(X154,slsdtgt0(xb))
        | ~ aElementOf0(X153,slsdtgt0(xa))
        | esk37_0 != sz00 )
      & ( X152 = sz00
        | sdtpldt0(X153,X154) != X152
        | ~ aElementOf0(X154,slsdtgt0(xb))
        | ~ aElementOf0(X153,slsdtgt0(xa))
        | aElementOf0(esk37_0,xI) )
      & ( X152 = sz00
        | sdtpldt0(X153,X154) != X152
        | ~ aElementOf0(X154,slsdtgt0(xb))
        | ~ aElementOf0(X153,slsdtgt0(xa))
        | sdtpldt0(esk38_0,esk39_0) = esk37_0 )
      & ( X152 = sz00
        | sdtpldt0(X153,X154) != X152
        | ~ aElementOf0(X154,slsdtgt0(xb))
        | ~ aElementOf0(X153,slsdtgt0(xa))
        | aElementOf0(esk39_0,slsdtgt0(xb)) )
      & ( X152 = sz00
        | sdtpldt0(X153,X154) != X152
        | ~ aElementOf0(X154,slsdtgt0(xb))
        | ~ aElementOf0(X153,slsdtgt0(xa))
        | aElementOf0(esk38_0,slsdtgt0(xa)) ) ),
    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)],[c_0_6])])])])])])]) ).

cnf(c_0_11,hypothesis,
    aElementOf0(esk32_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,hypothesis,
    xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_13,negated_conjecture,
    ! [X161,X162,X163] :
      ( ( X161 = sz00
        | ~ aElementOf0(X161,xI)
        | iLess0(sbrdtbr0(esk40_1(X161)),sbrdtbr0(X161)) )
      & ( X161 = sz00
        | ~ aElementOf0(X161,xI)
        | esk40_1(X161) != sz00 )
      & ( X161 = sz00
        | ~ aElementOf0(X161,xI)
        | aElementOf0(esk40_1(X161),xI) )
      & ( X161 = sz00
        | ~ aElementOf0(X161,xI)
        | sdtpldt0(esk41_1(X161),esk42_1(X161)) = esk40_1(X161) )
      & ( X161 = sz00
        | ~ aElementOf0(X161,xI)
        | aElementOf0(esk42_1(X161),slsdtgt0(xb)) )
      & ( X161 = sz00
        | ~ aElementOf0(X161,xI)
        | aElementOf0(esk41_1(X161),slsdtgt0(xa)) )
      & ( X161 = sz00
        | sdtpldt0(X162,X163) != X161
        | ~ aElementOf0(X163,slsdtgt0(xb))
        | ~ aElementOf0(X162,slsdtgt0(xa))
        | iLess0(sbrdtbr0(esk40_1(X161)),sbrdtbr0(X161)) )
      & ( X161 = sz00
        | sdtpldt0(X162,X163) != X161
        | ~ aElementOf0(X163,slsdtgt0(xb))
        | ~ aElementOf0(X162,slsdtgt0(xa))
        | esk40_1(X161) != sz00 )
      & ( X161 = sz00
        | sdtpldt0(X162,X163) != X161
        | ~ aElementOf0(X163,slsdtgt0(xb))
        | ~ aElementOf0(X162,slsdtgt0(xa))
        | aElementOf0(esk40_1(X161),xI) )
      & ( X161 = sz00
        | sdtpldt0(X162,X163) != X161
        | ~ aElementOf0(X163,slsdtgt0(xb))
        | ~ aElementOf0(X162,slsdtgt0(xa))
        | sdtpldt0(esk41_1(X161),esk42_1(X161)) = esk40_1(X161) )
      & ( X161 = sz00
        | sdtpldt0(X162,X163) != X161
        | ~ aElementOf0(X163,slsdtgt0(xb))
        | ~ aElementOf0(X162,slsdtgt0(xa))
        | aElementOf0(esk42_1(X161),slsdtgt0(xb)) )
      & ( X161 = sz00
        | sdtpldt0(X162,X163) != X161
        | ~ aElementOf0(X163,slsdtgt0(xb))
        | ~ aElementOf0(X162,slsdtgt0(xa))
        | aElementOf0(esk41_1(X161),slsdtgt0(xa)) ) ),
    inference(distribute,[status(thm)],[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])])])])])]) ).

cnf(c_0_14,hypothesis,
    ( ~ aElementOf0(X1,xI)
    | X1 = sz00
    | aElementOf0(esk37_0,xI) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,hypothesis,
    aElementOf0(esk32_0,xI),
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,hypothesis,
    esk32_0 != sz00,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_17,hypothesis,
    ( ~ aElementOf0(X1,xI)
    | esk37_0 != sz00
    | X1 = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,hypothesis,
    ( ~ aElementOf0(X2,xI)
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
    | ~ aElementOf0(X1,xI)
    | X2 = sz00
    | X1 = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ aElementOf0(X1,xI)
    | X1 = sz00
    | iLess0(sbrdtbr0(esk40_1(X1)),sbrdtbr0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,hypothesis,
    aElementOf0(esk37_0,xI),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_21,hypothesis,
    esk37_0 != sz00,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ aElementOf0(X1,xI)
    | ~ aElementOf0(esk40_1(esk37_0),xI)
    | X1 = sz00
    | esk40_1(esk37_0) = sz00 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),c_0_21]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ aElementOf0(X1,xI)
    | X1 = sz00
    | aElementOf0(esk40_1(X1),xI) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ aElementOf0(X1,xI)
    | X1 = sz00
    | esk40_1(esk37_0) = sz00 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_20])]),c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ aElementOf0(X1,xI)
    | esk40_1(X1) != sz00
    | X1 = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_26,hypothesis,
    esk40_1(esk37_0) = sz00,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_20]),c_0_21]) ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_20])]),c_0_21]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : RNG112+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n020.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 04:21:33 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41  Running first-order theorem proving
% 0.14/0.41  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
% 0.14/0.48  % Version: 3.5.1
% 0.14/0.48  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.48  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.48  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.48  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.48  % Starting sh5l with 300s (1) cores
% 0.14/0.48  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1989858 completed with status 0
% 0.14/0.48  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.14/0.48  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.48  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.48  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.48  % No SInE strategy applied
% 0.14/0.48  % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.14/0.48  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.48  % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.48  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/0.48  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.48  % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.14/0.48  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.14/0.48  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 1989871 completed with status 0
% 0.14/0.48  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.14/0.48  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.48  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.48  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.48  % No SInE strategy applied
% 0.14/0.48  % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.14/0.48  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.48  % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.48  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/0.48  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.48  % Preprocessing time       : 0.004 s
% 0.14/0.48  % Presaturation interreduction done
% 0.14/0.48  
% 0.14/0.48  % Proof found!
% 0.14/0.48  % SZS status Theorem
% 0.14/0.48  % SZS output start CNFRefutation
% See solution above
% 0.14/0.48  % Parsed axioms                        : 46
% 0.14/0.48  % Removed by relevancy pruning/SinE    : 0
% 0.14/0.48  % Initial clauses                      : 198
% 0.14/0.48  % Removed in clause preprocessing      : 4
% 0.14/0.48  % Initial clauses in saturation        : 194
% 0.14/0.48  % Processed clauses                    : 394
% 0.14/0.48  % ...of these trivial                  : 4
% 0.14/0.48  % ...subsumed                          : 8
% 0.14/0.48  % ...remaining for further processing  : 382
% 0.14/0.48  % Other redundant clauses eliminated   : 46
% 0.14/0.48  % Clauses deleted for lack of memory   : 0
% 0.14/0.48  % Backward-subsumed                    : 4
% 0.14/0.48  % Backward-rewritten                   : 11
% 0.14/0.48  % Generated clauses                    : 318
% 0.14/0.48  % ...of the previous two non-redundant : 196
% 0.14/0.48  % ...aggressively subsumed             : 0
% 0.14/0.48  % Contextual simplify-reflections      : 1
% 0.14/0.48  % Paramodulations                      : 275
% 0.14/0.48  % Factorizations                       : 0
% 0.14/0.48  % NegExts                              : 0
% 0.14/0.48  % Equation resolutions                 : 46
% 0.14/0.48  % Disequality decompositions           : 0
% 0.14/0.48  % Total rewrite steps                  : 292
% 0.14/0.48  % ...of those cached                   : 248
% 0.14/0.48  % Propositional unsat checks           : 0
% 0.14/0.48  %    Propositional check models        : 0
% 0.14/0.48  %    Propositional check unsatisfiable : 0
% 0.14/0.48  %    Propositional clauses             : 0
% 0.14/0.48  %    Propositional clauses after purity: 0
% 0.14/0.48  %    Propositional unsat core size     : 0
% 0.14/0.48  %    Propositional preprocessing time  : 0.000
% 0.14/0.48  %    Propositional encoding time       : 0.000
% 0.14/0.48  %    Propositional solver time         : 0.000
% 0.14/0.48  %    Success case prop preproc time    : 0.000
% 0.14/0.48  %    Success case prop encoding time   : 0.000
% 0.14/0.48  %    Success case prop solver time     : 0.000
% 0.14/0.48  % Current number of processed clauses  : 143
% 0.14/0.48  %    Positive orientable unit clauses  : 55
% 0.14/0.48  %    Positive unorientable unit clauses: 0
% 0.14/0.48  %    Negative unit clauses             : 3
% 0.14/0.48  %    Non-unit-clauses                  : 85
% 0.14/0.48  % Current number of unprocessed clauses: 175
% 0.14/0.48  % ...number of literals in the above   : 702
% 0.14/0.48  % Current number of archived formulas  : 0
% 0.14/0.48  % Current number of archived clauses   : 206
% 0.14/0.48  % Clause-clause subsumption calls (NU) : 5246
% 0.14/0.48  % Rec. Clause-clause subsumption calls : 1611
% 0.14/0.48  % Non-unit clause-clause subsumptions  : 11
% 0.14/0.48  % Unit Clause-clause subsumption calls : 121
% 0.14/0.48  % Rewrite failures with RHS unbound    : 0
% 0.14/0.48  % BW rewrite match attempts            : 11
% 0.14/0.48  % BW rewrite match successes           : 11
% 0.14/0.48  % Condensation attempts                : 0
% 0.14/0.48  % Condensation successes               : 0
% 0.14/0.48  % Termbank termtop insertions          : 18250
% 0.14/0.48  % Search garbage collected termcells   : 2813
% 0.14/0.48  
% 0.14/0.48  % -------------------------------------------------
% 0.14/0.48  % User time                : 0.036 s
% 0.14/0.48  % System time              : 0.009 s
% 0.14/0.48  % Total time               : 0.045 s
% 0.14/0.48  % Maximum resident set size: 3712 pages
% 0.14/0.48  
% 0.14/0.48  % -------------------------------------------------
% 0.14/0.48  % User time                : 0.152 s
% 0.14/0.48  % System time              : 0.027 s
% 0.14/0.48  % Total time               : 0.179 s
% 0.14/0.48  % Maximum resident set size: 4608 pages
% 0.14/0.48  % E exiting
%------------------------------------------------------------------------------