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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM558+1 : 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 : n006.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 01:49:33 PM UTC 2026

% Result   : Theorem 0.32s 0.66s
% Output   : CNFRefutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   56 (  22 unt;   0 def)
%            Number of atoms       :  294 (  59 equ)
%            Maximal formula atoms :   54 (   5 avg)
%            Number of connectives :  401 ( 163   ~; 169   |;  52   &)
%                                         (   9 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  10 con; 0-3 aty)
%            Number of variables   :   77 (   0 sgn  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2227,hypothesis,
    ( slbdtsldtrb0(xS,xk) != slcrc0
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).

fof(mDefSub,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aSubsetOf0(X2,X1)
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,X1) )
            & aSet0(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).

fof(mDefSel,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X2,szNzAzT0)
        & aSet0(X1) )
     => ! [X3] :
          ( X3 = slbdtsldtrb0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( sbrdtbr0(X4) = X2
                  & aSubsetOf0(X4,X1) ) )
            & aSet0(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).

fof(m__2202_02,hypothesis,
    ( xk != sz00
    & aSet0(xT)
    & aSet0(xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).

fof(m__2202,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).

fof(mDefCons,axiom,
    ! [X1,X2] :
      ( ( aElement0(X2)
        & aSet0(X1) )
     => ! [X3] :
          ( X3 = sdtpldt0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( ( X4 = X2
                    | aElementOf0(X4,X1) )
                  & aElement0(X4) ) )
            & aSet0(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).

fof(mEOfElem,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aElementOf0(X2,X1)
         => aElement0(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

fof(mDefDiff,axiom,
    ! [X1,X2] :
      ( ( aElement0(X2)
        & aSet0(X1) )
     => ! [X3] :
          ( X3 = sdtmndt0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( X4 != X2
                  & aElementOf0(X4,X1)
                  & aElement0(X4) ) )
            & aSet0(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).

fof(m__2256,hypothesis,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2256) ).

fof(m__,conjecture,
    aElementOf0(xx,xT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(m__2378,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xS,xk)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2378) ).

fof(m__2357,hypothesis,
    xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2357) ).

fof(m__2304,hypothesis,
    ( aElementOf0(xy,xQ)
    & aElement0(xy) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2304) ).

fof(m__2291,hypothesis,
    ( sbrdtbr0(xQ) = xk
    & isFinite0(xQ)
    & aSet0(xQ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).

fof(c_0_14,hypothesis,
    ( slbdtsldtrb0(xS,xk) != slcrc0
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) ),
    inference(fof_simplification,[status(thm)],[m__2227]) ).

fof(c_0_15,plain,
    ! [X17,X18,X19,X20] :
      ( ( ~ aSet0(X17)
        | aSubsetOf0(X20,X17)
        | ~ aSet0(X20)
        | ~ aElementOf0(esk2_2(X17,X20),X17) )
      & ( ~ aSet0(X17)
        | aSubsetOf0(X20,X17)
        | ~ aSet0(X20)
        | aElementOf0(esk2_2(X17,X20),X20) )
      & ( ~ aSet0(X17)
        | ~ aSubsetOf0(X18,X17)
        | aElementOf0(X19,X17)
        | ~ aElementOf0(X19,X18) )
      & ( ~ aSet0(X17)
        | ~ aSubsetOf0(X18,X17)
        | aSet0(X18) ) ),
    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)],[mDefSub])])])])])])]) ).

fof(c_0_16,hypothesis,
    ( slbdtsldtrb0(xS,xk) != slcrc0
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) ),
    inference(fof_nnf,[status(thm)],[c_0_14]) ).

fof(c_0_17,plain,
    ! [X118,X119,X120,X121,X122,X123] :
      ( ( ~ aElementOf0(X119,szNzAzT0)
        | ~ aSet0(X118)
        | X123 = slbdtsldtrb0(X118,X119)
        | ~ aSet0(X123)
        | aElementOf0(esk11_3(X118,X119,X123),X123)
        | sbrdtbr0(esk11_3(X118,X119,X123)) = X119 )
      & ( ~ aElementOf0(X119,szNzAzT0)
        | ~ aSet0(X118)
        | X123 = slbdtsldtrb0(X118,X119)
        | ~ aSet0(X123)
        | aElementOf0(esk11_3(X118,X119,X123),X123)
        | aSubsetOf0(esk11_3(X118,X119,X123),X118) )
      & ( ~ aElementOf0(X119,szNzAzT0)
        | ~ aSet0(X118)
        | X123 = slbdtsldtrb0(X118,X119)
        | ~ aSet0(X123)
        | sbrdtbr0(esk11_3(X118,X119,X123)) != X119
        | ~ aSubsetOf0(esk11_3(X118,X119,X123),X118)
        | ~ aElementOf0(esk11_3(X118,X119,X123),X123) )
      & ( ~ aElementOf0(X119,szNzAzT0)
        | ~ aSet0(X118)
        | X120 != slbdtsldtrb0(X118,X119)
        | aElementOf0(X122,X120)
        | sbrdtbr0(X122) != X119
        | ~ aSubsetOf0(X122,X118) )
      & ( ~ aElementOf0(X119,szNzAzT0)
        | ~ aSet0(X118)
        | X120 != slbdtsldtrb0(X118,X119)
        | ~ aElementOf0(X121,X120)
        | sbrdtbr0(X121) = X119 )
      & ( ~ aElementOf0(X119,szNzAzT0)
        | ~ aSet0(X118)
        | X120 != slbdtsldtrb0(X118,X119)
        | ~ aElementOf0(X121,X120)
        | aSubsetOf0(X121,X118) )
      & ( ~ aElementOf0(X119,szNzAzT0)
        | ~ aSet0(X118)
        | X120 != slbdtsldtrb0(X118,X119)
        | aSet0(X120) ) ),
    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)],[mDefSel])])])])])])]) ).

fof(c_0_18,hypothesis,
    ( xk != sz00
    & aSet0(xT)
    & aSet0(xS) ),
    inference(fof_simplification,[status(thm)],[m__2202_02]) ).

cnf(c_0_19,plain,
    ( ~ aSet0(X3)
    | ~ aSubsetOf0(X2,X3)
    | ~ aElementOf0(X1,X2)
    | aElementOf0(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,hypothesis,
    aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,plain,
    ( ~ aElementOf0(X3,szNzAzT0)
    | ~ aSet0(X2)
    | X1 != slbdtsldtrb0(X2,X3)
    | aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_22,hypothesis,
    ( xk != sz00
    & aSet0(xT)
    & aSet0(xS) ),
    inference(fof_nnf,[status(thm)],[c_0_18]) ).

cnf(c_0_23,plain,
    ( ~ aElementOf0(X4,szNzAzT0)
    | ~ aSet0(X2)
    | X3 != slbdtsldtrb0(X2,X4)
    | ~ aElementOf0(X1,X3)
    | aSubsetOf0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,hypothesis,
    ( ~ aSet0(slbdtsldtrb0(xT,xk))
    | ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
    | aElementOf0(X1,slbdtsldtrb0(xT,xk)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,plain,
    ( ~ aSet0(X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | aSet0(slbdtsldtrb0(X1,X2)) ),
    inference(er,[status(thm)],[c_0_21]) ).

cnf(c_0_26,hypothesis,
    aElementOf0(xk,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__2202]) ).

cnf(c_0_27,hypothesis,
    aSet0(xT),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_28,plain,
    ! [X30,X31,X32,X33,X34,X35] :
      ( ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X35 = sdtpldt0(X30,X31)
        | ~ aSet0(X35)
        | aElementOf0(esk3_3(X30,X31,X35),X35)
        | esk3_3(X30,X31,X35) = X31
        | aElementOf0(esk3_3(X30,X31,X35),X30) )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X35 = sdtpldt0(X30,X31)
        | ~ aSet0(X35)
        | aElementOf0(esk3_3(X30,X31,X35),X35)
        | aElement0(esk3_3(X30,X31,X35)) )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X35 = sdtpldt0(X30,X31)
        | ~ aSet0(X35)
        | ~ aElementOf0(esk3_3(X30,X31,X35),X35)
        | ~ aElement0(esk3_3(X30,X31,X35))
        | esk3_3(X30,X31,X35) != X31 )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X35 = sdtpldt0(X30,X31)
        | ~ aSet0(X35)
        | ~ aElementOf0(esk3_3(X30,X31,X35),X35)
        | ~ aElement0(esk3_3(X30,X31,X35))
        | ~ aElementOf0(esk3_3(X30,X31,X35),X30) )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X32 != sdtpldt0(X30,X31)
        | aElementOf0(X34,X32)
        | ~ aElement0(X34)
        | X34 != X31 )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X32 != sdtpldt0(X30,X31)
        | aElementOf0(X34,X32)
        | ~ aElement0(X34)
        | ~ aElementOf0(X34,X30) )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X32 != sdtpldt0(X30,X31)
        | ~ aElementOf0(X33,X32)
        | X33 = X31
        | aElementOf0(X33,X30) )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X32 != sdtpldt0(X30,X31)
        | ~ aElementOf0(X33,X32)
        | aElement0(X33) )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X32 != sdtpldt0(X30,X31)
        | aSet0(X32) ) ),
    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)],[mDefCons])])])])])])]) ).

fof(c_0_29,plain,
    ! [X7,X8] :
      ( aElement0(X8)
      | ~ aElementOf0(X8,X7)
      | ~ aSet0(X7) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).

fof(c_0_30,plain,
    ! [X1,X2] :
      ( ( aElement0(X2)
        & aSet0(X1) )
     => ! [X3] :
          ( X3 = sdtmndt0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( X4 != X2
                  & aElementOf0(X4,X1)
                  & aElement0(X4) ) )
            & aSet0(X3) ) ) ),
    inference(fof_simplification,[status(thm)],[mDefDiff]) ).

cnf(c_0_31,plain,
    ( ~ aSet0(X2)
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
    | aSubsetOf0(X1,X2) ),
    inference(er,[status(thm)],[c_0_23]) ).

cnf(c_0_32,hypothesis,
    ( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
    | aElementOf0(X1,slbdtsldtrb0(xT,xk)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).

cnf(c_0_33,plain,
    ( ~ aElement0(X2)
    | ~ aSet0(X4)
    | X3 != sdtpldt0(X4,X2)
    | ~ aElement0(X1)
    | X1 != X2
    | aElementOf0(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,plain,
    ( ~ aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_35,hypothesis,
    aElementOf0(xx,xS),
    inference(split_conjunct,[status(thm)],[m__2256]) ).

cnf(c_0_36,hypothesis,
    aSet0(xS),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_37,plain,
    ! [X37,X38,X39,X40,X41,X42] :
      ( ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X42 = sdtmndt0(X37,X38)
        | ~ aSet0(X42)
        | aElementOf0(esk4_3(X37,X38,X42),X42)
        | esk4_3(X37,X38,X42) != X38 )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X42 = sdtmndt0(X37,X38)
        | ~ aSet0(X42)
        | aElementOf0(esk4_3(X37,X38,X42),X42)
        | aElementOf0(esk4_3(X37,X38,X42),X37) )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X42 = sdtmndt0(X37,X38)
        | ~ aSet0(X42)
        | aElementOf0(esk4_3(X37,X38,X42),X42)
        | aElement0(esk4_3(X37,X38,X42)) )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X42 = sdtmndt0(X37,X38)
        | ~ aSet0(X42)
        | esk4_3(X37,X38,X42) = X38
        | ~ aElementOf0(esk4_3(X37,X38,X42),X37)
        | ~ aElement0(esk4_3(X37,X38,X42))
        | ~ aElementOf0(esk4_3(X37,X38,X42),X42) )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X39 != sdtmndt0(X37,X38)
        | aElementOf0(X41,X39)
        | X41 = X38
        | ~ aElementOf0(X41,X37)
        | ~ aElement0(X41) )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X39 != sdtmndt0(X37,X38)
        | ~ aElementOf0(X40,X39)
        | X40 != X38 )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X39 != sdtmndt0(X37,X38)
        | ~ aElementOf0(X40,X39)
        | aElementOf0(X40,X37) )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X39 != sdtmndt0(X37,X38)
        | ~ aElementOf0(X40,X39)
        | aElement0(X40) )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X39 != sdtmndt0(X37,X38)
        | aSet0(X39) ) ),
    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_30])])])])])])]) ).

fof(c_0_38,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_39,hypothesis,
    ( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
    | aSubsetOf0(X1,xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_26]),c_0_27])]) ).

cnf(c_0_40,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xS,xk)),
    inference(split_conjunct,[status(thm)],[m__2378]) ).

cnf(c_0_41,plain,
    ( ~ aSet0(X2)
    | ~ aElement0(X1)
    | aElementOf0(X1,sdtpldt0(X2,X1)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_33])]) ).

cnf(c_0_42,hypothesis,
    xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
    inference(split_conjunct,[status(thm)],[m__2357]) ).

cnf(c_0_43,hypothesis,
    aElement0(xx),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).

cnf(c_0_44,plain,
    ( ~ aElement0(X3)
    | ~ aSet0(X2)
    | X1 != sdtmndt0(X2,X3)
    | aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

fof(c_0_45,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

cnf(c_0_46,hypothesis,
    aSubsetOf0(xP,xT),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_47,hypothesis,
    ( ~ aSet0(sdtmndt0(xQ,xy))
    | aElementOf0(xx,xP) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).

cnf(c_0_48,plain,
    ( ~ aSet0(X1)
    | ~ aElement0(X2)
    | aSet0(sdtmndt0(X1,X2)) ),
    inference(er,[status(thm)],[c_0_44]) ).

cnf(c_0_49,hypothesis,
    aElement0(xy),
    inference(split_conjunct,[status(thm)],[m__2304]) ).

cnf(c_0_50,hypothesis,
    aSet0(xQ),
    inference(split_conjunct,[status(thm)],[m__2291]) ).

fof(c_0_51,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(fof_nnf,[status(thm)],[c_0_45]) ).

cnf(c_0_52,hypothesis,
    ( ~ aElementOf0(X1,xP)
    | aElementOf0(X1,xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_46]),c_0_27])]) ).

cnf(c_0_53,hypothesis,
    aElementOf0(xx,xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50])]) ).

cnf(c_0_54,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_55,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM558+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.45  % Computer : n006.cluster.edu
% 0.20/0.45  % Model    : x86_64 x86_64
% 0.20/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45  % Memory   : 8046.5625MB
% 0.20/0.45  % OS       : Linux 6.8.0-71-generic
% 0.20/0.45  % CPULimit : 300
% 0.20/0.45  % WCLimit  : 300
% 0.20/0.45  % DateTime : Mon Sep 21 02:39:42 UTC 2026
% 0.20/0.45  % CPUTime  : 
% 0.20/0.46  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.53  Running first-order theorem proving
% 0.26/0.53  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
% 0.32/0.66  % Version: 3.5.1
% 0.32/0.66  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.32/0.66  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.66  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.32/0.66  % Starting new_bool_3 with 300s (1) cores
% 0.32/0.66  % Starting new_bool_1 with 300s (1) cores
% 0.32/0.66  % Starting sh5l with 300s (1) cores
% 0.32/0.66  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1827898 completed with status 0
% 0.32/0.66  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.32/0.66  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.32/0.66  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.66  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.32/0.66  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.32/0.66  % No SInE strategy applied
% 0.32/0.66  % Search class: FGHSF-FSMM31-MFFFFFNN
% 0.32/0.66  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.32/0.66  % Starting SubtermCWHack with 136s (1) cores
% 0.32/0.66  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.32/0.66  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.32/0.66  % Starting new_bool_3 with 136s (1) cores
% 0.32/0.66  % Starting new_bool_1 with 136s (1) cores
% 0.32/0.66  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1827904 completed with status 0
% 0.32/0.66  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.32/0.66  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.32/0.66  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.66  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.32/0.66  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.32/0.66  % No SInE strategy applied
% 0.32/0.66  % Search class: FGHSF-FSMM31-MFFFFFNN
% 0.32/0.66  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.32/0.66  % Starting SubtermCWHack with 136s (1) cores
% 0.32/0.66  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.32/0.66  % Preprocessing time       : 0.003 s
% 0.32/0.66  % Presaturation interreduction done
% 0.32/0.66  
% 0.32/0.66  % Proof found!
% 0.32/0.66  % SZS status Theorem
% 0.32/0.66  % SZS output start CNFRefutation
% See solution above
% 0.32/0.66  % Parsed axioms                        : 72
% 0.32/0.66  % Removed by relevancy pruning/SinE    : 0
% 0.32/0.66  % Initial clauses                      : 128
% 0.32/0.66  % Removed in clause preprocessing      : 6
% 0.32/0.66  % Initial clauses in saturation        : 122
% 0.32/0.66  % Processed clauses                    : 462
% 0.32/0.66  % ...of these trivial                  : 2
% 0.32/0.66  % ...subsumed                          : 72
% 0.32/0.66  % ...remaining for further processing  : 388
% 0.32/0.66  % Other redundant clauses eliminated   : 34
% 0.32/0.66  % Clauses deleted for lack of memory   : 0
% 0.32/0.66  % Backward-subsumed                    : 7
% 0.32/0.66  % Backward-rewritten                   : 10
% 0.32/0.66  % Generated clauses                    : 756
% 0.32/0.66  % ...of the previous two non-redundant : 659
% 0.32/0.66  % ...aggressively subsumed             : 0
% 0.32/0.66  % Contextual simplify-reflections      : 24
% 0.32/0.66  % Paramodulations                      : 724
% 0.32/0.66  % Factorizations                       : 0
% 0.32/0.66  % NegExts                              : 0
% 0.32/0.66  % Equation resolutions                 : 35
% 0.32/0.66  % Disequality decompositions           : 0
% 0.32/0.66  % Total rewrite steps                  : 409
% 0.32/0.66  % ...of those cached                   : 379
% 0.32/0.66  % Propositional unsat checks           : 0
% 0.32/0.66  %    Propositional check models        : 0
% 0.32/0.66  %    Propositional check unsatisfiable : 0
% 0.32/0.66  %    Propositional clauses             : 0
% 0.32/0.66  %    Propositional clauses after purity: 0
% 0.32/0.66  %    Propositional unsat core size     : 0
% 0.32/0.66  %    Propositional preprocessing time  : 0.000
% 0.32/0.66  %    Propositional encoding time       : 0.000
% 0.32/0.66  %    Propositional solver time         : 0.000
% 0.32/0.66  %    Success case prop preproc time    : 0.000
% 0.32/0.66  %    Success case prop encoding time   : 0.000
% 0.32/0.66  %    Success case prop solver time     : 0.000
% 0.32/0.66  % Current number of processed clauses  : 223
% 0.32/0.66  %    Positive orientable unit clauses  : 39
% 0.32/0.66  %    Positive unorientable unit clauses: 0
% 0.32/0.66  %    Negative unit clauses             : 11
% 0.32/0.66  %    Non-unit-clauses                  : 173
% 0.32/0.66  % Current number of unprocessed clauses: 433
% 0.32/0.66  % ...number of literals in the above   : 2580
% 0.32/0.66  % Current number of archived formulas  : 0
% 0.32/0.66  % Current number of archived clauses   : 138
% 0.32/0.66  % Clause-clause subsumption calls (NU) : 5407
% 0.32/0.66  % Rec. Clause-clause subsumption calls : 1920
% 0.32/0.66  % Non-unit clause-clause subsumptions  : 80
% 0.32/0.66  % Unit Clause-clause subsumption calls : 457
% 0.32/0.66  % Rewrite failures with RHS unbound    : 0
% 0.32/0.66  % BW rewrite match attempts            : 10
% 0.32/0.66  % BW rewrite match successes           : 10
% 0.32/0.66  % Condensation attempts                : 0
% 0.32/0.66  % Condensation successes               : 0
% 0.32/0.66  % Termbank termtop insertions          : 23944
% 0.32/0.66  % Search garbage collected termcells   : 2310
% 0.32/0.66  
% 0.32/0.66  % -------------------------------------------------
% 0.32/0.66  % User time                : 0.046 s
% 0.32/0.66  % System time              : 0.009 s
% 0.32/0.66  % Total time               : 0.055 s
% 0.32/0.66  % Maximum resident set size: 3708 pages
% 0.32/0.66  
% 0.32/0.66  % -------------------------------------------------
% 0.32/0.66  % User time                : 0.130 s
% 0.32/0.66  % System time              : 0.023 s
% 0.32/0.66  % Total time               : 0.153 s
% 0.32/0.66  % Maximum resident set size: 4608 pages
% 0.32/0.66  % E exiting
%------------------------------------------------------------------------------