↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LAT386+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/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 01:05:14 PM UTC 2026

% Result   : Theorem 12.58s 2.20s
% Output   : CNFRefutation 12.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  100 (  23 unt;   0 def)
%            Number of atoms       :  488 (  18 equ)
%            Maximal formula atoms :   40 (   4 avg)
%            Number of connectives :  560 ( 172   ~; 196   |; 140   &)
%                                         (   1 <=>;  51  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   8 con; 0-3 aty)
%            Number of variables   :  139 (   0 sgn  74   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__1123,hypothesis,
    ( isOn0(xf,xU)
    & szRzazndt0(xf) = xU
    & szDzozmdt0(xf) = szRzazndt0(xf)
    & isMonotone0(xf)
    & ! [X1,X2] :
        ( ( aElementOf0(X2,szDzozmdt0(xf))
          & aElementOf0(X1,szDzozmdt0(xf)) )
       => ( sdtlseqdt0(X1,X2)
         => sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ) )
    & aFunction0(xf)
    & aCompleteLattice0(xU)
    & ! [X1] :
        ( ( aSubsetOf0(X1,xU)
          | ( ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,xU) )
            & aSet0(X1) ) )
       => ? [X2] :
            ( ? [X3] :
                ( aSupremumOfIn0(X3,X1,xU)
                & ! [X4] :
                    ( ( aUpperBoundOfIn0(X4,X1,xU)
                      | ( ! [X5] :
                            ( aElementOf0(X5,X1)
                           => sdtlseqdt0(X5,X4) )
                        & aElementOf0(X4,xU) ) )
                   => sdtlseqdt0(X3,X4) )
                & aUpperBoundOfIn0(X3,X1,xU)
                & ! [X4] :
                    ( aElementOf0(X4,X1)
                   => sdtlseqdt0(X4,X3) )
                & aElementOf0(X3,xU)
                & aElementOf0(X3,xU) )
            & aInfimumOfIn0(X2,X1,xU)
            & ! [X3] :
                ( ( aLowerBoundOfIn0(X3,X1,xU)
                  | ( ! [X4] :
                        ( aElementOf0(X4,X1)
                       => sdtlseqdt0(X3,X4) )
                    & aElementOf0(X3,xU) ) )
               => sdtlseqdt0(X3,X2) )
            & aLowerBoundOfIn0(X2,X1,xU)
            & ! [X3] :
                ( aElementOf0(X3,X1)
               => sdtlseqdt0(X2,X3) )
            & aElementOf0(X2,xU)
            & aElementOf0(X2,xU) ) )
    & aSet0(xU) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1123) ).

fof(m__1144,hypothesis,
    ( xS = cS1142(xf)
    & ! [X1] :
        ( ( ( aFixedPointOf0(X1,xf)
            | ( sdtlpdtrp0(xf,X1) = X1
              & aElementOf0(X1,szDzozmdt0(xf)) ) )
         => aElementOf0(X1,xS) )
        & ( aElementOf0(X1,xS)
         => ( aFixedPointOf0(X1,xf)
            & sdtlpdtrp0(xf,X1) = X1
            & aElementOf0(X1,szDzozmdt0(xf)) ) ) )
    & aSet0(xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1144) ).

fof(m__1261,hypothesis,
    ( aInfimumOfIn0(xp,xP,xU)
    & ! [X1] :
        ( ( aLowerBoundOfIn0(X1,xP,xU)
          | ( ! [X2] :
                ( aElementOf0(X2,xP)
               => sdtlseqdt0(X1,X2) )
            & aElementOf0(X1,xU) ) )
       => sdtlseqdt0(X1,xp) )
    & aLowerBoundOfIn0(xp,xP,xU)
    & ! [X1] :
        ( aElementOf0(X1,xP)
       => sdtlseqdt0(xp,X1) )
    & aElementOf0(xp,xU)
    & aElementOf0(xp,xU) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1261) ).

fof(m__1173,hypothesis,
    ( aSubsetOf0(xT,xS)
    & ! [X1] :
        ( aElementOf0(X1,xT)
       => aElementOf0(X1,xS) )
    & aSet0(xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1173) ).

fof(m__1244,hypothesis,
    ( xP = cS1241(xU,xf,xT)
    & ! [X1] :
        ( ( ( ( aUpperBoundOfIn0(X1,xT,xU)
              | ! [X2] :
                  ( aElementOf0(X2,xT)
                 => sdtlseqdt0(X2,X1) ) )
            & sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
            & aElementOf0(X1,xU) )
         => aElementOf0(X1,xP) )
        & ( aElementOf0(X1,xP)
         => ( aUpperBoundOfIn0(X1,xT,xU)
            & ! [X2] :
                ( aElementOf0(X2,xT)
               => sdtlseqdt0(X2,X1) )
            & sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
            & aElementOf0(X1,xU) ) ) )
    & aSet0(xP) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1244) ).

fof(mEOfElem,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aElementOf0(X2,X1)
         => aElement0(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

fof(m__,conjecture,
    ( ( aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
      | ! [X1] :
          ( aElementOf0(X1,xT)
         => sdtlseqdt0(X1,sdtlpdtrp0(xf,xp)) ) )
    & ( aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
      | ! [X1] :
          ( aElementOf0(X1,xP)
         => sdtlseqdt0(sdtlpdtrp0(xf,xp),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(mTrans,axiom,
    ! [X1,X2,X3] :
      ( ( aElement0(X3)
        & aElement0(X2)
        & aElement0(X1) )
     => ( ( sdtlseqdt0(X2,X3)
          & sdtlseqdt0(X1,X2) )
       => sdtlseqdt0(X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTrans) ).

fof(mARefl,axiom,
    ! [X1] :
      ( aElement0(X1)
     => sdtlseqdt0(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mARefl) ).

fof(mImgSort,axiom,
    ! [X1] :
      ( aFunction0(X1)
     => ! [X2] :
          ( aElementOf0(X2,szDzozmdt0(X1))
         => aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgSort) ).

fof(c_0_10,plain,
    ! [X1] :
      ( epred1_1(X1)
    <=> ? [X2] :
          ( ? [X3] :
              ( aSupremumOfIn0(X3,X1,xU)
              & ! [X4] :
                  ( ( aUpperBoundOfIn0(X4,X1,xU)
                    | ( ! [X5] :
                          ( aElementOf0(X5,X1)
                         => sdtlseqdt0(X5,X4) )
                      & aElementOf0(X4,xU) ) )
                 => sdtlseqdt0(X3,X4) )
              & aUpperBoundOfIn0(X3,X1,xU)
              & ! [X4] :
                  ( aElementOf0(X4,X1)
                 => sdtlseqdt0(X4,X3) )
              & aElementOf0(X3,xU) )
          & aInfimumOfIn0(X2,X1,xU)
          & ! [X3] :
              ( ( aLowerBoundOfIn0(X3,X1,xU)
                | ( ! [X4] :
                      ( aElementOf0(X4,X1)
                     => sdtlseqdt0(X3,X4) )
                  & aElementOf0(X3,xU) ) )
             => sdtlseqdt0(X3,X2) )
          & aLowerBoundOfIn0(X2,X1,xU)
          & ! [X3] :
              ( aElementOf0(X3,X1)
             => sdtlseqdt0(X2,X3) )
          & aElementOf0(X2,xU) ) ),
    introduced(definition) ).

fof(c_0_11,hypothesis,
    ( isOn0(xf,xU)
    & szRzazndt0(xf) = xU
    & szDzozmdt0(xf) = szRzazndt0(xf)
    & isMonotone0(xf)
    & ! [X1,X2] :
        ( ( aElementOf0(X2,szDzozmdt0(xf))
          & aElementOf0(X1,szDzozmdt0(xf)) )
       => ( sdtlseqdt0(X1,X2)
         => sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ) )
    & aFunction0(xf)
    & aCompleteLattice0(xU)
    & ! [X1] :
        ( ( aSubsetOf0(X1,xU)
          | ( ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,xU) )
            & aSet0(X1) ) )
       => epred1_1(X1) )
    & aSet0(xU) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[m__1123]),c_0_10]) ).

fof(c_0_12,hypothesis,
    ! [X20,X22,X23] :
      ( isOn0(xf,xU)
      & szRzazndt0(xf) = xU
      & szDzozmdt0(xf) = szRzazndt0(xf)
      & isMonotone0(xf)
      & ( sdtlseqdt0(sdtlpdtrp0(xf,X22),sdtlpdtrp0(xf,X23))
        | ~ sdtlseqdt0(X22,X23)
        | ~ aElementOf0(X23,szDzozmdt0(xf))
        | ~ aElementOf0(X22,szDzozmdt0(xf)) )
      & aFunction0(xf)
      & aCompleteLattice0(xU)
      & ( epred1_1(X20)
        | ~ aSubsetOf0(X20,xU) )
      & ( epred1_1(X20)
        | ~ aSet0(X20)
        | ~ aElementOf0(esk5_1(X20),xU) )
      & ( epred1_1(X20)
        | ~ aSet0(X20)
        | aElementOf0(esk5_1(X20),X20) )
      & aSet0(xU) ),
    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_11])])])])])]) ).

fof(c_0_13,hypothesis,
    ! [X41] :
      ( xS = cS1142(xf)
      & ( aElementOf0(X41,xS)
        | ~ aFixedPointOf0(X41,xf) )
      & ( aElementOf0(X41,xS)
        | sdtlpdtrp0(xf,X41) != X41
        | ~ aElementOf0(X41,szDzozmdt0(xf)) )
      & ( ~ aElementOf0(X41,xS)
        | aFixedPointOf0(X41,xf) )
      & ( ~ aElementOf0(X41,xS)
        | sdtlpdtrp0(xf,X41) = X41 )
      & ( ~ aElementOf0(X41,xS)
        | aElementOf0(X41,szDzozmdt0(xf)) )
      & aSet0(xS) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1144])])])])]) ).

cnf(c_0_14,hypothesis,
    szDzozmdt0(xf) = szRzazndt0(xf),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,hypothesis,
    szRzazndt0(xf) = xU,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_16,hypothesis,
    ( aInfimumOfIn0(xp,xP,xU)
    & ! [X1] :
        ( ( aLowerBoundOfIn0(X1,xP,xU)
          | ( ! [X2] :
                ( aElementOf0(X2,xP)
               => sdtlseqdt0(X1,X2) )
            & aElementOf0(X1,xU) ) )
       => sdtlseqdt0(X1,xp) )
    & aLowerBoundOfIn0(xp,xP,xU)
    & ! [X1] :
        ( aElementOf0(X1,xP)
       => sdtlseqdt0(xp,X1) )
    & aElementOf0(xp,xU) ),
    inference(fof_simplification,[status(thm)],[m__1261]) ).

cnf(c_0_17,hypothesis,
    ( ~ aElementOf0(X1,xS)
    | aElementOf0(X1,szDzozmdt0(xf)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,hypothesis,
    szDzozmdt0(xf) = xU,
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

fof(c_0_19,hypothesis,
    ! [X31] :
      ( aSubsetOf0(xT,xS)
      & ( aElementOf0(X31,xS)
        | ~ aElementOf0(X31,xT) )
      & aSet0(xT) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1173])])])]) ).

fof(c_0_20,hypothesis,
    ! [X28,X29] :
      ( aInfimumOfIn0(xp,xP,xU)
      & ( sdtlseqdt0(X29,xp)
        | ~ aLowerBoundOfIn0(X29,xP,xU) )
      & ( sdtlseqdt0(X29,xp)
        | ~ aElementOf0(X29,xU)
        | ~ sdtlseqdt0(X29,esk7_1(X29)) )
      & ( sdtlseqdt0(X29,xp)
        | ~ aElementOf0(X29,xU)
        | aElementOf0(esk7_1(X29),xP) )
      & aLowerBoundOfIn0(xp,xP,xU)
      & ( sdtlseqdt0(xp,X28)
        | ~ aElementOf0(X28,xP) )
      & aElementOf0(xp,xU) ),
    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_16])])])])])]) ).

fof(c_0_21,hypothesis,
    ! [X24,X25,X26] :
      ( xP = cS1241(xU,xf,xT)
      & ( aElementOf0(X26,xP)
        | ~ sdtlseqdt0(sdtlpdtrp0(xf,X26),X26)
        | ~ aElementOf0(X26,xU)
        | ~ aUpperBoundOfIn0(X26,xT,xU) )
      & ( aElementOf0(X26,xP)
        | ~ sdtlseqdt0(sdtlpdtrp0(xf,X26),X26)
        | ~ aElementOf0(X26,xU)
        | ~ sdtlseqdt0(esk6_1(X26),X26) )
      & ( aElementOf0(X26,xP)
        | ~ sdtlseqdt0(sdtlpdtrp0(xf,X26),X26)
        | ~ aElementOf0(X26,xU)
        | aElementOf0(esk6_1(X26),xT) )
      & ( ~ aElementOf0(X24,xP)
        | aUpperBoundOfIn0(X24,xT,xU) )
      & ( ~ aElementOf0(X24,xP)
        | sdtlseqdt0(X25,X24)
        | ~ aElementOf0(X25,xT) )
      & ( ~ aElementOf0(X24,xP)
        | sdtlseqdt0(sdtlpdtrp0(xf,X24),X24) )
      & ( ~ aElementOf0(X24,xP)
        | aElementOf0(X24,xU) )
      & aSet0(xP) ),
    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__1244])])])])])])]) ).

cnf(c_0_22,hypothesis,
    ( ~ aElementOf0(X1,xS)
    | aElementOf0(X1,xU) ),
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,hypothesis,
    ( ~ aElementOf0(X1,xT)
    | aElementOf0(X1,xS) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_24,plain,
    ! [X1] :
      ( epred1_1(X1)
     => ? [X2] :
          ( ? [X3] :
              ( aSupremumOfIn0(X3,X1,xU)
              & ! [X4] :
                  ( ( aUpperBoundOfIn0(X4,X1,xU)
                    | ( ! [X5] :
                          ( aElementOf0(X5,X1)
                         => sdtlseqdt0(X5,X4) )
                      & aElementOf0(X4,xU) ) )
                 => sdtlseqdt0(X3,X4) )
              & aUpperBoundOfIn0(X3,X1,xU)
              & ! [X4] :
                  ( aElementOf0(X4,X1)
                 => sdtlseqdt0(X4,X3) )
              & aElementOf0(X3,xU) )
          & aInfimumOfIn0(X2,X1,xU)
          & ! [X3] :
              ( ( aLowerBoundOfIn0(X3,X1,xU)
                | ( ! [X4] :
                      ( aElementOf0(X4,X1)
                     => sdtlseqdt0(X3,X4) )
                  & aElementOf0(X3,xU) ) )
             => sdtlseqdt0(X3,X2) )
          & aLowerBoundOfIn0(X2,X1,xU)
          & ! [X3] :
              ( aElementOf0(X3,X1)
             => sdtlseqdt0(X2,X3) )
          & aElementOf0(X2,xU) ) ),
    inference(split_equiv,[status(thm)],[c_0_10]) ).

cnf(c_0_25,hypothesis,
    ( ~ aElementOf0(X1,xU)
    | ~ sdtlseqdt0(X1,esk7_1(X1))
    | sdtlseqdt0(X1,xp) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_26,hypothesis,
    ( ~ aElementOf0(X2,xP)
    | ~ aElementOf0(X1,xT)
    | sdtlseqdt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_27,hypothesis,
    ( ~ aElementOf0(X1,xT)
    | aElementOf0(X1,xU) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

fof(c_0_28,plain,
    ! [X92,X94,X95,X98,X99] :
      ( ( ~ epred1_1(X92)
        | aSupremumOfIn0(esk18_1(X92),X92,xU) )
      & ( ~ epred1_1(X92)
        | sdtlseqdt0(esk18_1(X92),X99)
        | ~ aUpperBoundOfIn0(X99,X92,xU) )
      & ( ~ epred1_1(X92)
        | sdtlseqdt0(esk18_1(X92),X99)
        | ~ aElementOf0(X99,xU)
        | ~ sdtlseqdt0(esk19_2(X92,X99),X99) )
      & ( ~ epred1_1(X92)
        | sdtlseqdt0(esk18_1(X92),X99)
        | ~ aElementOf0(X99,xU)
        | aElementOf0(esk19_2(X92,X99),X92) )
      & ( ~ epred1_1(X92)
        | aUpperBoundOfIn0(esk18_1(X92),X92,xU) )
      & ( ~ epred1_1(X92)
        | sdtlseqdt0(X98,esk18_1(X92))
        | ~ aElementOf0(X98,X92) )
      & ( ~ epred1_1(X92)
        | aElementOf0(esk18_1(X92),xU) )
      & ( ~ epred1_1(X92)
        | aInfimumOfIn0(esk16_1(X92),X92,xU) )
      & ( ~ epred1_1(X92)
        | sdtlseqdt0(X95,esk16_1(X92))
        | ~ aLowerBoundOfIn0(X95,X92,xU) )
      & ( ~ epred1_1(X92)
        | sdtlseqdt0(X95,esk16_1(X92))
        | ~ aElementOf0(X95,xU)
        | ~ sdtlseqdt0(X95,esk17_2(X92,X95)) )
      & ( ~ epred1_1(X92)
        | sdtlseqdt0(X95,esk16_1(X92))
        | ~ aElementOf0(X95,xU)
        | aElementOf0(esk17_2(X92,X95),X92) )
      & ( ~ epred1_1(X92)
        | aLowerBoundOfIn0(esk16_1(X92),X92,xU) )
      & ( ~ epred1_1(X92)
        | sdtlseqdt0(esk16_1(X92),X94)
        | ~ aElementOf0(X94,X92) )
      & ( ~ epred1_1(X92)
        | aElementOf0(esk16_1(X92),xU) ) ),
    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_24])])])])])])]) ).

cnf(c_0_29,hypothesis,
    ( ~ aElementOf0(X1,xT)
    | ~ aElementOf0(esk7_1(X1),xP)
    | sdtlseqdt0(X1,xp) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_30,hypothesis,
    ( ~ aElementOf0(X1,xU)
    | sdtlseqdt0(X1,xp)
    | aElementOf0(esk7_1(X1),xP) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_31,hypothesis,
    ( ~ aSet0(X1)
    | epred1_1(X1)
    | aElementOf0(esk5_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_32,hypothesis,
    aSet0(xT),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_33,plain,
    ( ~ epred1_1(X1)
    | ~ aElementOf0(X2,xU)
    | ~ sdtlseqdt0(esk19_2(X1,X2),X2)
    | sdtlseqdt0(esk18_1(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,hypothesis,
    ( ~ aElementOf0(X1,xT)
    | sdtlseqdt0(X1,xp) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_27]) ).

cnf(c_0_35,hypothesis,
    aElementOf0(xp,xU),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_36,hypothesis,
    ( ~ aSet0(X1)
    | ~ aElementOf0(esk5_1(X1),xU)
    | epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_37,hypothesis,
    ( aElementOf0(esk5_1(xT),xU)
    | epred1_1(xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_31]),c_0_32])]) ).

fof(c_0_38,plain,
    ! [X62,X63] :
      ( aElement0(X63)
      | ~ aElementOf0(X63,X62)
      | ~ aSet0(X62) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).

fof(c_0_39,negated_conjecture,
    ~ ( ( aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
        | ! [X1] :
            ( aElementOf0(X1,xT)
           => sdtlseqdt0(X1,sdtlpdtrp0(xf,xp)) ) )
      & ( aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
        | ! [X1] :
            ( aElementOf0(X1,xP)
           => sdtlseqdt0(sdtlpdtrp0(xf,xp),X1) ) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_40,plain,
    ! [X47,X48,X49] :
      ( sdtlseqdt0(X47,X49)
      | ~ sdtlseqdt0(X48,X49)
      | ~ sdtlseqdt0(X47,X48)
      | ~ aElement0(X49)
      | ~ aElement0(X48)
      | ~ aElement0(X47) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTrans])])]) ).

cnf(c_0_41,plain,
    ( ~ aElementOf0(esk19_2(X1,xp),xT)
    | ~ epred1_1(X1)
    | sdtlseqdt0(esk18_1(X1),xp) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).

cnf(c_0_42,plain,
    ( ~ epred1_1(X1)
    | ~ aElementOf0(X2,xU)
    | sdtlseqdt0(esk18_1(X1),X2)
    | aElementOf0(esk19_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_43,hypothesis,
    epred1_1(xT),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_32])]) ).

cnf(c_0_44,plain,
    ( ~ aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_45,hypothesis,
    aSet0(xU),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_46,plain,
    ( ~ epred1_1(X1)
    | aElementOf0(esk18_1(X1),xU) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_47,negated_conjecture,
    ( ( ~ aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
      | ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) )
    & ( ~ aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
      | ~ sdtlseqdt0(esk2_0,sdtlpdtrp0(xf,xp)) )
    & ( ~ aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
      | aElementOf0(esk2_0,xT) )
    & ( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),esk1_0)
      | ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) )
    & ( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),esk1_0)
      | ~ sdtlseqdt0(esk2_0,sdtlpdtrp0(xf,xp)) )
    & ( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),esk1_0)
      | aElementOf0(esk2_0,xT) )
    & ( aElementOf0(esk1_0,xP)
      | ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) )
    & ( aElementOf0(esk1_0,xP)
      | ~ sdtlseqdt0(esk2_0,sdtlpdtrp0(xf,xp)) )
    & ( aElementOf0(esk1_0,xP)
      | aElementOf0(esk2_0,xT) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])]) ).

cnf(c_0_48,plain,
    ( ~ sdtlseqdt0(X2,X3)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | sdtlseqdt0(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_49,plain,
    sdtlseqdt0(esk18_1(xT),xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_35])]) ).

cnf(c_0_50,hypothesis,
    aElement0(xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_35]),c_0_45])]) ).

cnf(c_0_51,plain,
    ( ~ epred1_1(X2)
    | ~ aElementOf0(X1,X2)
    | sdtlseqdt0(X1,esk18_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_52,plain,
    ( ~ epred1_1(X1)
    | aElement0(esk18_1(X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_46]),c_0_45])]) ).

cnf(c_0_53,negated_conjecture,
    ( aElementOf0(esk1_0,xP)
    | aElementOf0(esk2_0,xT) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_54,plain,
    ( ~ aElement0(X1)
    | ~ aElement0(esk18_1(xT))
    | ~ sdtlseqdt0(X1,esk18_1(xT))
    | sdtlseqdt0(X1,xp) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).

cnf(c_0_55,plain,
    ( ~ aElement0(X1)
    | ~ aElement0(X3)
    | ~ aElementOf0(X3,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ epred1_1(X2)
    | sdtlseqdt0(X1,esk18_1(X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_51]),c_0_52]) ).

cnf(c_0_56,negated_conjecture,
    ( aElement0(esk2_0)
    | aElementOf0(esk1_0,xP) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_53]),c_0_32])]) ).

fof(c_0_57,plain,
    ! [X44] :
      ( sdtlseqdt0(X44,X44)
      | ~ aElement0(X44) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mARefl])])]) ).

cnf(c_0_58,hypothesis,
    ( ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szDzozmdt0(xf))
    | ~ aElementOf0(X1,szDzozmdt0(xf))
    | sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_59,plain,
    ( ~ aElement0(X1)
    | ~ sdtlseqdt0(X1,esk18_1(xT))
    | sdtlseqdt0(X1,xp) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_52]),c_0_43])]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ sdtlseqdt0(X1,esk2_0)
    | aElementOf0(esk1_0,xP)
    | sdtlseqdt0(X1,esk18_1(xT)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_53]),c_0_43])]),c_0_56]) ).

cnf(c_0_61,plain,
    ( ~ aElement0(X1)
    | sdtlseqdt0(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_62,hypothesis,
    ( ~ aElementOf0(X1,xU)
    | ~ aElementOf0(X2,xU)
    | ~ sdtlseqdt0(X1,X2)
    | sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_18]),c_0_18]) ).

cnf(c_0_63,hypothesis,
    ( ~ aElementOf0(X1,xS)
    | sdtlpdtrp0(xf,X1) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_64,plain,
    ( ~ aElement0(X1)
    | ~ sdtlseqdt0(X1,esk2_0)
    | aElementOf0(esk1_0,xP)
    | sdtlseqdt0(X1,xp) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_65,negated_conjecture,
    ( aElementOf0(esk1_0,xP)
    | sdtlseqdt0(esk2_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_56]) ).

fof(c_0_66,plain,
    ! [X32,X33] :
      ( aElementOf0(sdtlpdtrp0(X32,X33),szRzazndt0(X32))
      | ~ aElementOf0(X33,szDzozmdt0(X32))
      | ~ aFunction0(X32) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgSort])])])]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ sdtlseqdt0(esk2_0,sdtlpdtrp0(xf,xp))
    | aElementOf0(esk1_0,xP) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_68,hypothesis,
    ( ~ aElementOf0(X1,xS)
    | ~ aElementOf0(X2,xU)
    | ~ sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X1,sdtlpdtrp0(xf,X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_22]) ).

cnf(c_0_69,negated_conjecture,
    ( aElementOf0(esk1_0,xP)
    | sdtlseqdt0(esk2_0,xp) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_56]),c_0_65]) ).

cnf(c_0_70,plain,
    ( ~ aElementOf0(X2,szDzozmdt0(X1))
    | ~ aFunction0(X1)
    | aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_71,hypothesis,
    aFunction0(xf),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ aElementOf0(esk2_0,xS)
    | aElementOf0(esk1_0,xP) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_35])]),c_0_69]) ).

cnf(c_0_73,hypothesis,
    ( ~ aElementOf0(X1,xP)
    | sdtlseqdt0(sdtlpdtrp0(xf,X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_74,hypothesis,
    ( ~ aElementOf0(X1,xU)
    | aElementOf0(sdtlpdtrp0(xf,X1),xU) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_15]),c_0_71]),c_0_18])]) ).

cnf(c_0_75,hypothesis,
    ( ~ aElementOf0(X1,xP)
    | sdtlseqdt0(xp,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_76,hypothesis,
    aElementOf0(esk1_0,xP),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_23]),c_0_53]) ).

cnf(c_0_77,hypothesis,
    aSet0(xP),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_78,hypothesis,
    ( ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aElement0(sdtlpdtrp0(xf,X2))
    | ~ aElementOf0(X2,xP)
    | ~ sdtlseqdt0(X1,sdtlpdtrp0(xf,X2))
    | sdtlseqdt0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_73]) ).

cnf(c_0_79,hypothesis,
    ( ~ aElementOf0(X1,xU)
    | aElement0(sdtlpdtrp0(xf,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_74]),c_0_45])]) ).

cnf(c_0_80,hypothesis,
    ( ~ aElementOf0(X1,xP)
    | aElementOf0(X1,xU) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_81,hypothesis,
    ( ~ aElement0(X1)
    | ~ aElement0(X2)
    | ~ aElementOf0(X2,xP)
    | ~ sdtlseqdt0(X1,xp)
    | sdtlseqdt0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_75]),c_0_50])]) ).

cnf(c_0_82,hypothesis,
    aElement0(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_76]),c_0_77])]) ).

cnf(c_0_83,hypothesis,
    ( ~ aElement0(X2)
    | ~ aElementOf0(X1,xU)
    | ~ aElementOf0(X2,xP)
    | ~ sdtlseqdt0(X1,X2)
    | sdtlseqdt0(sdtlpdtrp0(xf,X1),X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_62]),c_0_79]),c_0_79]),c_0_80]) ).

cnf(c_0_84,hypothesis,
    ( ~ aElement0(X1)
    | ~ sdtlseqdt0(X1,xp)
    | sdtlseqdt0(X1,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_76])]) ).

cnf(c_0_85,hypothesis,
    sdtlseqdt0(xp,xp),
    inference(spm,[status(thm)],[c_0_61,c_0_50]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),esk1_0)
    | aElementOf0(esk2_0,xT) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_87,hypothesis,
    ( ~ aElementOf0(X1,xU)
    | ~ sdtlseqdt0(X1,esk1_0)
    | sdtlseqdt0(sdtlpdtrp0(xf,X1),esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_82]),c_0_76])]) ).

cnf(c_0_88,hypothesis,
    sdtlseqdt0(xp,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_50]),c_0_85])]) ).

cnf(c_0_89,hypothesis,
    aSet0(xS),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_90,negated_conjecture,
    aElementOf0(esk2_0,xT),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_35])]) ).

cnf(c_0_91,hypothesis,
    ( ~ aElementOf0(X1,xT)
    | aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_23]),c_0_89])]) ).

cnf(c_0_92,negated_conjecture,
    aElement0(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_90]),c_0_32])]) ).

cnf(c_0_93,negated_conjecture,
    ( ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),esk1_0)
    | ~ sdtlseqdt0(esk2_0,sdtlpdtrp0(xf,xp)) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_94,hypothesis,
    ( ~ aElement0(X1)
    | ~ aElementOf0(X2,xT)
    | ~ sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X1,xp) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_34]),c_0_50])]),c_0_91]) ).

cnf(c_0_95,negated_conjecture,
    sdtlseqdt0(esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_61,c_0_92]) ).

cnf(c_0_96,negated_conjecture,
    ~ sdtlseqdt0(esk2_0,sdtlpdtrp0(xf,xp)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_87]),c_0_88]),c_0_35])]) ).

cnf(c_0_97,hypothesis,
    sdtlseqdt0(esk2_0,xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_90]),c_0_92])]) ).

cnf(c_0_98,hypothesis,
    ~ aElementOf0(esk2_0,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_68]),c_0_97]),c_0_35])]) ).

cnf(c_0_99,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_23]),c_0_90])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : LAT386+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.45  % Computer : n020.cluster.edu
% 0.19/0.45  % Model    : x86_64 x86_64
% 0.19/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45  % Memory   : 8046.5625MB
% 0.19/0.45  % OS       : Linux 6.8.0-71-generic
% 0.19/0.45  % CPULimit : 300
% 0.19/0.45  % WCLimit  : 300
% 0.19/0.45  % DateTime : Sun Sep 20 23:58:32 UTC 2026
% 0.19/0.45  % CPUTime  : 
% 0.19/0.45  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.52  Running first-order theorem proving
% 0.24/0.52  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 12.58/2.20  % Version: 3.5.1
% 12.58/2.20  % Preprocessing class: FSLSSMSSSSSNFFN.
% 12.58/2.20  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.58/2.20  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.58/2.20  % Starting new_bool_3 with 300s (1) cores
% 12.58/2.20  % Starting new_bool_1 with 300s (1) cores
% 12.58/2.20  % Starting sh5l with 300s (1) cores
% 12.58/2.20  % sh5l with pid 1544957 completed with status 0
% 12.58/2.20  % Result found by sh5l
% 12.58/2.20  % Preprocessing class: FSLSSMSSSSSNFFN.
% 12.58/2.20  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.58/2.20  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.58/2.20  % Starting new_bool_3 with 300s (1) cores
% 12.58/2.20  % Starting new_bool_1 with 300s (1) cores
% 12.58/2.20  % Starting sh5l with 300s (1) cores
% 12.58/2.20  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 12.58/2.20  % SinE strategy is gf500_gu_R04_F100_L20000
% 12.58/2.20  % Search class: FGHSF-FFMM31-SFFFFFNN
% 12.58/2.20  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 12.58/2.20  % Starting SubtermCWHack with 28s (1) cores
% 12.58/2.20  % SubtermCWHack with pid 1544965 completed with status 0
% 12.58/2.20  % Result found by SubtermCWHack
% 12.58/2.20  % Preprocessing class: FSLSSMSSSSSNFFN.
% 12.58/2.20  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.58/2.20  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.58/2.20  % Starting new_bool_3 with 300s (1) cores
% 12.58/2.20  % Starting new_bool_1 with 300s (1) cores
% 12.58/2.20  % Starting sh5l with 300s (1) cores
% 12.58/2.20  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 12.58/2.20  % SinE strategy is gf500_gu_R04_F100_L20000
% 12.58/2.20  % Search class: FGHSF-FFMM31-SFFFFFNN
% 12.58/2.20  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 12.58/2.20  % Starting SubtermCWHack with 28s (1) cores
% 12.58/2.20  % Preprocessing time       : 0.004 s
% 12.58/2.20  
% 12.58/2.20  % Proof found!
% 12.58/2.20  % SZS status Theorem
% 12.58/2.20  % SZS output start CNFRefutation
% See solution above
% 12.58/2.20  % Parsed axioms                        : 29
% 12.58/2.20  % Removed by relevancy pruning/SinE    : 1
% 12.58/2.20  % Initial clauses                      : 111
% 12.58/2.20  % Removed in clause preprocessing      : 4
% 12.58/2.20  % Initial clauses in saturation        : 107
% 12.58/2.20  % Processed clauses                    : 7080
% 12.58/2.20  % ...of these trivial                  : 37
% 12.58/2.20  % ...subsumed                          : 4802
% 12.58/2.20  % ...remaining for further processing  : 2241
% 12.58/2.20  % Other redundant clauses eliminated   : 1
% 12.58/2.20  % Clauses deleted for lack of memory   : 0
% 12.58/2.20  % Backward-subsumed                    : 358
% 12.58/2.20  % Backward-rewritten                   : 115
% 12.58/2.20  % Generated clauses                    : 38181
% 12.58/2.20  % ...of the previous two non-redundant : 30747
% 12.58/2.20  % ...aggressively subsumed             : 0
% 12.58/2.20  % Contextual simplify-reflections      : 355
% 12.58/2.20  % Paramodulations                      : 38180
% 12.58/2.20  % Factorizations                       : 0
% 12.58/2.20  % NegExts                              : 0
% 12.58/2.20  % Equation resolutions                 : 1
% 12.58/2.20  % Disequality decompositions           : 0
% 12.58/2.20  % Total rewrite steps                  : 32276
% 12.58/2.20  % ...of those cached                   : 32221
% 12.58/2.20  % Propositional unsat checks           : 0
% 12.58/2.20  %    Propositional check models        : 0
% 12.58/2.20  %    Propositional check unsatisfiable : 0
% 12.58/2.20  %    Propositional clauses             : 0
% 12.58/2.20  %    Propositional clauses after purity: 0
% 12.58/2.20  %    Propositional unsat core size     : 0
% 12.58/2.20  %    Propositional preprocessing time  : 0.000
% 12.58/2.20  %    Propositional encoding time       : 0.000
% 12.58/2.20  %    Propositional solver time         : 0.000
% 12.58/2.20  %    Success case prop preproc time    : 0.000
% 12.58/2.20  %    Success case prop encoding time   : 0.000
% 12.58/2.20  %    Success case prop solver time     : 0.000
% 12.58/2.20  % Current number of processed clauses  : 1767
% 12.58/2.20  %    Positive orientable unit clauses  : 58
% 12.58/2.20  %    Positive unorientable unit clauses: 0
% 12.58/2.20  %    Negative unit clauses             : 10
% 12.58/2.20  %    Non-unit-clauses                  : 1699
% 12.58/2.20  % Current number of unprocessed clauses: 22693
% 12.58/2.20  % ...number of literals in the above   : 139288
% 12.58/2.20  % Current number of archived formulas  : 0
% 12.58/2.20  % Current number of archived clauses   : 473
% 12.58/2.20  % Clause-clause subsumption calls (NU) : 494098
% 12.58/2.20  % Rec. Clause-clause subsumption calls : 179957
% 12.58/2.20  % Non-unit clause-clause subsumptions  : 4152
% 12.58/2.20  % Unit Clause-clause subsumption calls : 16244
% 12.58/2.20  % Rewrite failures with RHS unbound    : 0
% 12.58/2.20  % BW rewrite match attempts            : 18
% 12.58/2.20  % BW rewrite match successes           : 18
% 12.58/2.20  % Condensation attempts                : 0
% 12.58/2.20  % Condensation successes               : 0
% 12.58/2.20  % Termbank termtop insertions          : 667668
% 12.58/2.20  % Search garbage collected termcells   : 2004
% 12.58/2.20  
% 12.58/2.20  % -------------------------------------------------
% 12.58/2.20  % User time                : 1.597 s
% 12.58/2.20  % System time              : 0.033 s
% 12.58/2.20  % Total time               : 1.630 s
% 12.58/2.20  % Maximum resident set size: 3944 pages
% 12.58/2.20  
% 12.58/2.20  % -------------------------------------------------
% 12.58/2.20  % User time                : 1.600 s
% 12.58/2.20  % System time              : 0.040 s
% 12.58/2.20  % Total time               : 1.641 s
% 12.58/2.20  % Maximum resident set size: 4608 pages
% 12.58/2.20  % E exiting
%------------------------------------------------------------------------------