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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM443+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 : n001.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 01:49:06 PM UTC 2026

% Result   : Theorem 0.15s 5.54s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (  11 unt;   0 def)
%            Number of atoms       :  242 (  32 equ)
%            Maximal formula atoms :   50 (   7 avg)
%            Number of connectives :  280 (  70   ~;  70   |; 114   &)
%                                         (   0 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   60 (   0 sgn  33   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ( sdteqdtlpzmzozddtrp0(xc,xb,xq)
      & aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
      & ? [X1] :
          ( sdtasdt0(xq,X1) = sdtpldt0(xc,smndt0(xb))
          & aInteger0(X1) )
      & aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
      & ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
      & ! [X1] :
          ( ( ( ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
                | aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
                | ? [X2] :
                    ( sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa))
                    & aInteger0(X2) ) )
              & aInteger0(X1) )
           => aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
          & ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
           => ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
              & aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
              & ? [X2] :
                  ( sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa))
                  & aInteger0(X2) )
              & aInteger0(X1) ) ) )
      & aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
   => ( ( ! [X1] :
            ( ( ( ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
                  | aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
                  | ? [X2] :
                      ( sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa))
                      & aInteger0(X2) ) )
                & aInteger0(X1) )
             => aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
            & ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
             => ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
                & aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
                & ? [X2] :
                    ( sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa))
                    & aInteger0(X2) )
                & aInteger0(X1) ) ) )
        & aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
     => ( aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
        | ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(mEquModTrn,axiom,
    ! [X1,X2,X3,X4] :
      ( ( aInteger0(X4)
        & X3 != sz00
        & aInteger0(X3)
        & aInteger0(X2)
        & aInteger0(X1) )
     => ( ( sdteqdtlpzmzozddtrp0(X2,X4,X3)
          & sdteqdtlpzmzozddtrp0(X1,X2,X3) )
       => sdteqdtlpzmzozddtrp0(X1,X4,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModTrn) ).

fof(m__1962,hypothesis,
    ( xq != sz00
    & aInteger0(xq)
    & aInteger0(xa) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1962) ).

fof(mEquModSym,axiom,
    ! [X1,X2,X3] :
      ( ( X3 != sz00
        & aInteger0(X3)
        & aInteger0(X2)
        & aInteger0(X1) )
     => ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
       => sdteqdtlpzmzozddtrp0(X2,X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModSym) ).

fof(m__2010,hypothesis,
    ( aInteger0(xc)
    & aInteger0(xb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2010) ).

fof(c_0_5,negated_conjecture,
    ~ ( ( sdteqdtlpzmzozddtrp0(xc,xb,xq)
        & aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
        & ? [X1] :
            ( sdtasdt0(xq,X1) = sdtpldt0(xc,smndt0(xb))
            & aInteger0(X1) )
        & aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
        & ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        & ! [X1] :
            ( ( ( ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
                  | aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
                  | ? [X2] :
                      ( sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa))
                      & aInteger0(X2) ) )
                & aInteger0(X1) )
             => aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
            & ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
             => ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
                & aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
                & ? [X2] :
                    ( sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa))
                    & aInteger0(X2) )
                & aInteger0(X1) ) ) )
        & aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
     => ( ( ! [X1] :
              ( ( ( ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
                    | aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
                    | ? [X2] :
                        ( sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa))
                        & aInteger0(X2) ) )
                  & aInteger0(X1) )
               => aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
              & ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
               => ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
                  & aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
                  & ? [X2] :
                      ( sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa))
                      & aInteger0(X2) )
                  & aInteger0(X1) ) ) )
          & aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
       => ( aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
          | ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_6,plain,
    ! [X1,X2,X3,X4] :
      ( ( aInteger0(X4)
        & X3 != sz00
        & aInteger0(X3)
        & aInteger0(X2)
        & aInteger0(X1) )
     => ( ( sdteqdtlpzmzozddtrp0(X2,X4,X3)
          & sdteqdtlpzmzozddtrp0(X1,X2,X3) )
       => sdteqdtlpzmzozddtrp0(X1,X4,X3) ) ),
    inference(fof_simplification,[status(thm)],[mEquModTrn]) ).

fof(c_0_7,negated_conjecture,
    ~ ( ( sdteqdtlpzmzozddtrp0(xc,xb,xq)
        & aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
        & ? [X1] :
            ( sdtasdt0(xq,X1) = sdtpldt0(xc,smndt0(xb))
            & aInteger0(X1) )
        & aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
        & ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        & ! [X1] :
            ( ( ( ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
                  | aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
                  | ? [X2] :
                      ( sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa))
                      & aInteger0(X2) ) )
                & aInteger0(X1) )
             => aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
            & ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
             => ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
                & aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
                & ? [X2] :
                    ( sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa))
                    & aInteger0(X2) )
                & aInteger0(X1) ) ) )
        & aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
     => ( ( ! [X1] :
              ( ( ( ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
                    | aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
                    | ? [X2] :
                        ( sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa))
                        & aInteger0(X2) ) )
                  & aInteger0(X1) )
               => aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
              & ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
               => ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
                  & aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
                  & ? [X2] :
                      ( sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa))
                      & aInteger0(X2) )
                  & aInteger0(X1) ) ) )
          & aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
       => ( aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
          | ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_8,hypothesis,
    ( xq != sz00
    & aInteger0(xq)
    & aInteger0(xa) ),
    inference(fof_simplification,[status(thm)],[m__1962]) ).

fof(c_0_9,plain,
    ! [X1,X2,X3] :
      ( ( X3 != sz00
        & aInteger0(X3)
        & aInteger0(X2)
        & aInteger0(X1) )
     => ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
       => sdteqdtlpzmzozddtrp0(X2,X1,X3) ) ),
    inference(fof_simplification,[status(thm)],[mEquModSym]) ).

fof(c_0_10,plain,
    ! [X49,X50,X51,X52] :
      ( sdteqdtlpzmzozddtrp0(X49,X52,X51)
      | ~ sdteqdtlpzmzozddtrp0(X50,X52,X51)
      | ~ sdteqdtlpzmzozddtrp0(X49,X50,X51)
      | ~ aInteger0(X52)
      | X51 = sz00
      | ~ aInteger0(X51)
      | ~ aInteger0(X50)
      | ~ aInteger0(X49) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

fof(c_0_11,negated_conjecture,
    ! [X5,X7,X8,X10,X12,X13] :
      ( ~ aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
      & aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
      & ( aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | ~ aInteger0(X12)
        | ~ sdteqdtlpzmzozddtrp0(X12,xa,xq) )
      & ( aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | ~ aInteger0(X12)
        | ~ aDivisorOf0(xq,sdtpldt0(X12,smndt0(xa))) )
      & ( aElementOf0(X12,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | ~ aInteger0(X12)
        | sdtasdt0(xq,X13) != sdtpldt0(X12,smndt0(xa))
        | ~ aInteger0(X13) )
      & ( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | sdteqdtlpzmzozddtrp0(X10,xa,xq) )
      & ( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | aDivisorOf0(xq,sdtpldt0(X10,smndt0(xa))) )
      & ( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | sdtasdt0(xq,esk3_1(X10)) = sdtpldt0(X10,smndt0(xa)) )
      & ( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | aInteger0(esk3_1(X10)) )
      & ( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | aInteger0(X10) )
      & aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
      & sdteqdtlpzmzozddtrp0(xc,xb,xq)
      & aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
      & sdtasdt0(xq,esk2_0) = sdtpldt0(xc,smndt0(xb))
      & aInteger0(esk2_0)
      & aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
      & ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
      & ( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | ~ aInteger0(X7)
        | ~ sdteqdtlpzmzozddtrp0(X7,xa,xq) )
      & ( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | ~ aInteger0(X7)
        | ~ aDivisorOf0(xq,sdtpldt0(X7,smndt0(xa))) )
      & ( aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | ~ aInteger0(X7)
        | sdtasdt0(xq,X8) != sdtpldt0(X7,smndt0(xa))
        | ~ aInteger0(X8) )
      & ( ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | sdteqdtlpzmzozddtrp0(X5,xa,xq) )
      & ( ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | aDivisorOf0(xq,sdtpldt0(X5,smndt0(xa))) )
      & ( ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | sdtasdt0(xq,esk1_1(X5)) = sdtpldt0(X5,smndt0(xa)) )
      & ( ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | aInteger0(esk1_1(X5)) )
      & ( ~ aElementOf0(X5,szAzrzSzezqlpdtcmdtrp0(xa,xq))
        | aInteger0(X5) )
      & aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
    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_7])])])])])])]) ).

fof(c_0_12,hypothesis,
    ( xq != sz00
    & aInteger0(xq)
    & aInteger0(xa) ),
    inference(fof_nnf,[status(thm)],[c_0_8]) ).

fof(c_0_13,plain,
    ! [X46,X47,X48] :
      ( sdteqdtlpzmzozddtrp0(X47,X46,X48)
      | ~ sdteqdtlpzmzozddtrp0(X46,X47,X48)
      | X48 = sz00
      | ~ aInteger0(X48)
      | ~ aInteger0(X47)
      | ~ aInteger0(X46) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

cnf(c_0_14,plain,
    ( ~ sdteqdtlpzmzozddtrp0(X2,X4,X3)
    | ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
    | ~ aInteger0(X4)
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sdteqdtlpzmzozddtrp0(X1,X4,X3)
    | X3 = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    sdteqdtlpzmzozddtrp0(xc,xb,xq),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,hypothesis,
    aInteger0(xb),
    inference(split_conjunct,[status(thm)],[m__2010]) ).

cnf(c_0_17,hypothesis,
    aInteger0(xq),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,hypothesis,
    aInteger0(xc),
    inference(split_conjunct,[status(thm)],[m__2010]) ).

cnf(c_0_19,hypothesis,
    xq != sz00,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,plain,
    ( ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sdteqdtlpzmzozddtrp0(X2,X1,X3)
    | X3 = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | sdteqdtlpzmzozddtrp0(X1,xa,xq) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_22,hypothesis,
    aInteger0(xa),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ aInteger0(X1)
    | ~ sdteqdtlpzmzozddtrp0(X1,xc,xq)
    | sdteqdtlpzmzozddtrp0(X1,xb,xq) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]),c_0_18])]),c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | sdteqdtlpzmzozddtrp0(xa,X1,xq) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_17]),c_0_22])]),c_0_19]),c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_27,negated_conjecture,
    sdteqdtlpzmzozddtrp0(xa,xb,xq),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_22]),c_0_26])]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ aInteger0(X1)
    | ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
    | aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_29,negated_conjecture,
    sdteqdtlpzmzozddtrp0(xb,xa,xq),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_27]),c_0_17]),c_0_16]),c_0_22])]),c_0_19]) ).

cnf(c_0_30,negated_conjecture,
    ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_31,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_16])]),c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM443+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.38  % Computer : n001.cluster.edu
% 0.11/5.38  % Model    : x86_64 x86_64
% 0.11/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38  % Memory   : 8046.5625MB
% 0.11/5.38  % OS       : Linux 6.8.0-71-generic
% 0.11/5.38  % CPULimit : 300
% 0.11/5.38  % WCLimit  : 300
% 0.11/5.38  % DateTime : Mon Sep 21 02:35:50 UTC 2026
% 0.11/5.38  % CPUTime  : 
% 0.11/5.39  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.45  Running first-order theorem proving
% 0.15/5.45  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
% 0.15/5.54  % Version: 3.5.1
% 0.15/5.54  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.54  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.54  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.54  % Starting new_bool_3 with 300s (1) cores
% 0.15/5.54  % Starting new_bool_1 with 300s (1) cores
% 0.15/5.54  % Starting sh5l with 300s (1) cores
% 0.15/5.54  % new_bool_3 with pid 2003079 completed with status 0
% 0.15/5.54  % Result found by new_bool_3
% 0.15/5.54  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.54  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.54  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.54  % Starting new_bool_3 with 300s (1) cores
% 0.15/5.54  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.54  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.54  % Search class: FGHSF-FSLM31-SFFFFFNN
% 0.15/5.54  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.54  % Starting SubtermCWHack with 31s (1) cores
% 0.15/5.54  % SubtermCWHack with pid 2003083 completed with status 0
% 0.15/5.54  % Result found by SubtermCWHack
% 0.15/5.54  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.54  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.54  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.54  % Starting new_bool_3 with 300s (1) cores
% 0.15/5.54  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.54  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.54  % Search class: FGHSF-FSLM31-SFFFFFNN
% 0.15/5.54  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.54  % Starting SubtermCWHack with 31s (1) cores
% 0.15/5.54  % Preprocessing time       : 0.002 s
% 0.15/5.54  
% 0.15/5.54  % Proof found!
% 0.15/5.54  % SZS status Theorem
% 0.15/5.54  % SZS output start CNFRefutation
% See solution above
% 0.15/5.54  % Parsed axioms                        : 43
% 0.15/5.54  % Removed by relevancy pruning/SinE    : 4
% 0.15/5.54  % Initial clauses                      : 126
% 0.15/5.54  % Removed in clause preprocessing      : 4
% 0.15/5.54  % Initial clauses in saturation        : 122
% 0.15/5.54  % Processed clauses                    : 534
% 0.15/5.54  % ...of these trivial                  : 6
% 0.15/5.54  % ...subsumed                          : 322
% 0.15/5.54  % ...remaining for further processing  : 206
% 0.15/5.54  % Other redundant clauses eliminated   : 27
% 0.15/5.54  % Clauses deleted for lack of memory   : 0
% 0.15/5.54  % Backward-subsumed                    : 2
% 0.15/5.54  % Backward-rewritten                   : 6
% 0.15/5.54  % Generated clauses                    : 1374
% 0.15/5.54  % ...of the previous two non-redundant : 1125
% 0.15/5.54  % ...aggressively subsumed             : 0
% 0.15/5.54  % Contextual simplify-reflections      : 8
% 0.15/5.54  % Paramodulations                      : 1347
% 0.15/5.54  % Factorizations                       : 0
% 0.15/5.54  % NegExts                              : 0
% 0.15/5.54  % Equation resolutions                 : 27
% 0.15/5.54  % Disequality decompositions           : 0
% 0.15/5.54  % Total rewrite steps                  : 1207
% 0.15/5.54  % ...of those cached                   : 1186
% 0.15/5.54  % Propositional unsat checks           : 0
% 0.15/5.54  %    Propositional check models        : 0
% 0.15/5.54  %    Propositional check unsatisfiable : 0
% 0.15/5.54  %    Propositional clauses             : 0
% 0.15/5.54  %    Propositional clauses after purity: 0
% 0.15/5.54  %    Propositional unsat core size     : 0
% 0.15/5.54  %    Propositional preprocessing time  : 0.000
% 0.15/5.54  %    Propositional encoding time       : 0.000
% 0.15/5.54  %    Propositional solver time         : 0.000
% 0.15/5.54  %    Success case prop preproc time    : 0.000
% 0.15/5.54  %    Success case prop encoding time   : 0.000
% 0.15/5.54  %    Success case prop solver time     : 0.000
% 0.15/5.54  % Current number of processed clauses  : 173
% 0.15/5.54  %    Positive orientable unit clauses  : 25
% 0.15/5.54  %    Positive unorientable unit clauses: 0
% 0.15/5.54  %    Negative unit clauses             : 3
% 0.15/5.54  %    Non-unit-clauses                  : 145
% 0.15/5.54  % Current number of unprocessed clauses: 689
% 0.15/5.54  % ...number of literals in the above   : 3042
% 0.15/5.54  % Current number of archived formulas  : 0
% 0.15/5.54  % Current number of archived clauses   : 8
% 0.15/5.54  % Clause-clause subsumption calls (NU) : 4870
% 0.15/5.54  % Rec. Clause-clause subsumption calls : 3273
% 0.15/5.54  % Non-unit clause-clause subsumptions  : 331
% 0.15/5.54  % Unit Clause-clause subsumption calls : 37
% 0.15/5.54  % Rewrite failures with RHS unbound    : 0
% 0.15/5.54  % BW rewrite match attempts            : 6
% 0.15/5.54  % BW rewrite match successes           : 6
% 0.15/5.54  % Condensation attempts                : 0
% 0.15/5.54  % Condensation successes               : 0
% 0.15/5.54  % Termbank termtop insertions          : 31315
% 0.15/5.54  % Search garbage collected termcells   : 2319
% 0.15/5.54  
% 0.15/5.54  % -------------------------------------------------
% 0.15/5.54  % User time                : 0.045 s
% 0.15/5.54  % System time              : 0.003 s
% 0.15/5.54  % Total time               : 0.048 s
% 0.15/5.54  % Maximum resident set size: 3952 pages
% 0.15/5.54  
% 0.15/5.54  % -------------------------------------------------
% 0.15/5.54  % User time                : 0.049 s
% 0.15/5.54  % System time              : 0.010 s
% 0.15/5.54  % Total time               : 0.059 s
% 0.15/5.54  % Maximum resident set size: 4864 pages
% 0.15/5.54  % E exiting
%------------------------------------------------------------------------------