↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM428+3 : 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 01:49:03 PM UTC 2026

% Result   : Theorem 4.96s 1.13s
% Output   : CNFRefutation 4.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   47
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  191 (  71 unt;   0 def)
%            Number of atoms       :  491 ( 169 equ)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  496 ( 196   ~; 190   |;  83   &)
%                                         (   4 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :  157 (   0 sgn  73   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mAddAsso,axiom,
    ! [X1,X2,X3] :
      ( ( aInteger0(X3)
        & aInteger0(X2)
        & aInteger0(X1) )
     => sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).

fof(mAddNeg,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ( sz00 = sdtpldt0(smndt0(X1),X1)
        & sdtpldt0(X1,smndt0(X1)) = sz00 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).

fof(mIntNeg,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => aInteger0(smndt0(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).

fof(m__,conjecture,
    ( ( sdteqdtlpzmzozddtrp0(xb,xc,xq)
      & aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
      & ? [X1] :
          ( sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xc))
          & aInteger0(X1) )
      & sdteqdtlpzmzozddtrp0(xa,xb,xq)
      & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
      & ? [X1] :
          ( sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb))
          & aInteger0(X1) ) )
   => ( sdteqdtlpzmzozddtrp0(xa,xc,xq)
      | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
      | ? [X1] :
          ( sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xc))
          & aInteger0(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(m__818,hypothesis,
    ( aInteger0(xc)
    & xq != sz00
    & aInteger0(xq)
    & aInteger0(xb)
    & aInteger0(xa) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__818) ).

fof(mAddZero,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ( X1 = sdtpldt0(sz00,X1)
        & sdtpldt0(X1,sz00) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).

fof(mIntPlus,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X2)
        & aInteger0(X1) )
     => aInteger0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).

fof(mIntZero,axiom,
    aInteger0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).

fof(mAddComm,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X2)
        & aInteger0(X1) )
     => sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).

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(mEquMod,axiom,
    ! [X1,X2,X3] :
      ( ( X3 != sz00
        & aInteger0(X3)
        & aInteger0(X2)
        & aInteger0(X1) )
     => ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
      <=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquMod) ).

fof(mDivisor,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ! [X2] :
          ( aDivisorOf0(X2,X1)
        <=> ( ? [X3] :
                ( sdtasdt0(X2,X3) = X1
                & aInteger0(X3) )
            & X2 != sz00
            & aInteger0(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).

fof(mMulAsso,axiom,
    ! [X1,X2,X3] :
      ( ( aInteger0(X3)
        & aInteger0(X2)
        & aInteger0(X1) )
     => sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).

fof(mMulZero,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ( sz00 = sdtasdt0(sz00,X1)
        & sdtasdt0(X1,sz00) = sz00 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).

fof(mIntMult,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X2)
        & aInteger0(X1) )
     => aInteger0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).

fof(mMulComm,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X2)
        & aInteger0(X1) )
     => sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

fof(mMulMinOne,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
        & sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).

fof(mIntOne,axiom,
    aInteger0(sz10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).

fof(mDistrib,axiom,
    ! [X1,X2,X3] :
      ( ( aInteger0(X3)
        & aInteger0(X2)
        & aInteger0(X1) )
     => ( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
        & sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).

fof(mMulOne,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ( X1 = sdtasdt0(sz10,X1)
        & sdtasdt0(X1,sz10) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).

fof(c_0_20,plain,
    ! [X10,X11,X12] :
      ( sdtpldt0(X10,sdtpldt0(X11,X12)) = sdtpldt0(sdtpldt0(X10,X11),X12)
      | ~ aInteger0(X12)
      | ~ aInteger0(X11)
      | ~ aInteger0(X10) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])])]) ).

fof(c_0_21,plain,
    ! [X16] :
      ( ( ~ aInteger0(X16)
        | sz00 = sdtpldt0(smndt0(X16),X16) )
      & ( ~ aInteger0(X16)
        | sdtpldt0(X16,smndt0(X16)) = sz00 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])])]) ).

fof(c_0_22,plain,
    ! [X5] :
      ( aInteger0(smndt0(X5))
      | ~ aInteger0(X5) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])])]) ).

fof(c_0_23,negated_conjecture,
    ~ ( ( sdteqdtlpzmzozddtrp0(xb,xc,xq)
        & aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
        & ? [X1] :
            ( sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xc))
            & aInteger0(X1) )
        & sdteqdtlpzmzozddtrp0(xa,xb,xq)
        & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
        & ? [X1] :
            ( sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb))
            & aInteger0(X1) ) )
     => ( sdteqdtlpzmzozddtrp0(xa,xc,xq)
        | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
        | ? [X1] :
            ( sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xc))
            & aInteger0(X1) ) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_24,hypothesis,
    ( aInteger0(xc)
    & xq != sz00
    & aInteger0(xq)
    & aInteger0(xb)
    & aInteger0(xa) ),
    inference(fof_simplification,[status(thm)],[m__818]) ).

fof(c_0_25,plain,
    ! [X15] :
      ( ( ~ aInteger0(X15)
        | X15 = sdtpldt0(sz00,X15) )
      & ( ~ aInteger0(X15)
        | sdtpldt0(X15,sz00) = X15 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])])]) ).

cnf(c_0_26,plain,
    ( ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    ( ~ aInteger0(X1)
    | sz00 = sdtpldt0(smndt0(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,plain,
    ( ~ aInteger0(X1)
    | aInteger0(smndt0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_29,negated_conjecture,
    ! [X45] :
      ( ~ sdteqdtlpzmzozddtrp0(xa,xc,xq)
      & ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
      & ( sdtasdt0(xq,X45) != sdtpldt0(xa,smndt0(xc))
        | ~ aInteger0(X45) )
      & sdteqdtlpzmzozddtrp0(xb,xc,xq)
      & aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
      & sdtasdt0(xq,esk3_0) = sdtpldt0(xb,smndt0(xc))
      & aInteger0(esk3_0)
      & sdteqdtlpzmzozddtrp0(xa,xb,xq)
      & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
      & sdtasdt0(xq,esk2_0) = sdtpldt0(xa,smndt0(xb))
      & aInteger0(esk2_0) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])]) ).

fof(c_0_30,hypothesis,
    ( aInteger0(xc)
    & xq != sz00
    & aInteger0(xq)
    & aInteger0(xb)
    & aInteger0(xa) ),
    inference(fof_nnf,[status(thm)],[c_0_24]) ).

fof(c_0_31,plain,
    ! [X6,X7] :
      ( aInteger0(sdtpldt0(X6,X7))
      | ~ aInteger0(X7)
      | ~ aInteger0(X6) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])])]) ).

cnf(c_0_32,plain,
    ( ~ aInteger0(X1)
    | X1 = sdtpldt0(sz00,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_33,plain,
    aInteger0(sz00),
    inference(split_conjunct,[status(thm)],[mIntZero]) ).

cnf(c_0_34,plain,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

cnf(c_0_35,negated_conjecture,
    sdtasdt0(xq,esk3_0) = sdtpldt0(xb,smndt0(xc)),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_36,hypothesis,
    aInteger0(xb),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_37,plain,
    ( ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | aInteger0(sdtpldt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_38,plain,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_32]),c_0_33])]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ aInteger0(smndt0(xc))
    | sdtpldt0(smndt0(xb),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).

cnf(c_0_40,hypothesis,
    aInteger0(xc),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ aInteger0(smndt0(xc))
    | aInteger0(sdtasdt0(xq,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_36])]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ aInteger0(smndt0(xc))
    | sdtpldt0(sz00,sdtasdt0(xq,esk3_0)) = sdtasdt0(xq,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_35]),c_0_36])]) ).

cnf(c_0_43,negated_conjecture,
    sdtpldt0(smndt0(xb),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,smndt0(xc)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_28]),c_0_40])]) ).

cnf(c_0_44,negated_conjecture,
    aInteger0(sdtasdt0(xq,esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_28]),c_0_40])]) ).

cnf(c_0_45,negated_conjecture,
    sdtpldt0(sz00,sdtasdt0(xq,esk3_0)) = sdtasdt0(xq,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_28]),c_0_40])]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ aInteger0(smndt0(xb))
    | sdtpldt0(smndt0(smndt0(xb)),sdtpldt0(sz00,smndt0(xc))) = sdtasdt0(xq,esk3_0) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_43]),c_0_44])]),c_0_45]) ).

cnf(c_0_47,negated_conjecture,
    sdtpldt0(smndt0(smndt0(xb)),sdtpldt0(sz00,smndt0(xc))) = sdtasdt0(xq,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_28]),c_0_36])]) ).

fof(c_0_48,plain,
    ! [X13,X14] :
      ( sdtpldt0(X13,X14) = sdtpldt0(X14,X13)
      | ~ aInteger0(X14)
      | ~ aInteger0(X13) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])])]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ aInteger0(smndt0(xc))
    | sdtpldt0(smndt0(smndt0(xb)),smndt0(xc)) = sdtasdt0(xq,esk3_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_32]) ).

cnf(c_0_50,plain,
    ( ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_51,negated_conjecture,
    sdtpldt0(smndt0(smndt0(xb)),smndt0(xc)) = sdtasdt0(xq,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_28]),c_0_40])]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ aInteger0(smndt0(xc))
    | ~ aInteger0(smndt0(smndt0(xb)))
    | sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk3_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ aInteger0(smndt0(smndt0(xb)))
    | sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_28]),c_0_40])]) ).

cnf(c_0_54,plain,
    ( ~ aInteger0(X1)
    | sdtpldt0(X1,smndt0(X1)) = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ aInteger0(smndt0(xb))
    | sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk3_0) ),
    inference(spm,[status(thm)],[c_0_53,c_0_28]) ).

cnf(c_0_56,plain,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_54]),c_0_28]) ).

cnf(c_0_57,negated_conjecture,
    sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_28]),c_0_36])]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ aInteger0(smndt0(smndt0(xb)))
    | sdtpldt0(sz00,smndt0(smndt0(xb))) = sdtpldt0(xc,sdtasdt0(xq,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_40])]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ aInteger0(smndt0(xc))
    | ~ aInteger0(smndt0(smndt0(xb)))
    | sdtpldt0(smndt0(smndt0(xc)),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,smndt0(smndt0(xb))) ),
    inference(spm,[status(thm)],[c_0_34,c_0_57]) ).

fof(c_0_60,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]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ aInteger0(smndt0(xb))
    | sdtpldt0(sz00,smndt0(smndt0(xb))) = sdtpldt0(xc,sdtasdt0(xq,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_28]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ aInteger0(smndt0(smndt0(xb)))
    | sdtpldt0(smndt0(smndt0(xc)),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,smndt0(smndt0(xb))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_28]),c_0_40])]) ).

fof(c_0_63,plain,
    ! [X1,X2,X3] :
      ( ( X3 != sz00
        & aInteger0(X3)
        & aInteger0(X2)
        & aInteger0(X1) )
     => ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
      <=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
    inference(fof_simplification,[status(thm)],[mEquMod]) ).

fof(c_0_64,plain,
    ! [X40,X41,X42] :
      ( sdteqdtlpzmzozddtrp0(X41,X40,X42)
      | ~ sdteqdtlpzmzozddtrp0(X40,X41,X42)
      | X42 = sz00
      | ~ aInteger0(X42)
      | ~ aInteger0(X41)
      | ~ aInteger0(X40) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])]) ).

cnf(c_0_65,negated_conjecture,
    sdtpldt0(sz00,smndt0(smndt0(xb))) = sdtpldt0(xc,sdtasdt0(xq,esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_28]),c_0_36])]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ aInteger0(smndt0(xb))
    | sdtpldt0(smndt0(smndt0(xc)),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,smndt0(smndt0(xb))) ),
    inference(spm,[status(thm)],[c_0_62,c_0_28]) ).

fof(c_0_67,plain,
    ! [X1] :
      ( aInteger0(X1)
     => ! [X2] :
          ( aDivisorOf0(X2,X1)
        <=> ( ? [X3] :
                ( sdtasdt0(X2,X3) = X1
                & aInteger0(X3) )
            & X2 != sz00
            & aInteger0(X2) ) ) ),
    inference(fof_simplification,[status(thm)],[mDivisor]) ).

fof(c_0_68,plain,
    ! [X35,X36,X37] :
      ( ( X37 = sz00
        | ~ aInteger0(X37)
        | ~ aInteger0(X36)
        | ~ aInteger0(X35)
        | sdteqdtlpzmzozddtrp0(X35,X36,X37)
        | ~ aDivisorOf0(X37,sdtpldt0(X35,smndt0(X36))) )
      & ( X37 = sz00
        | ~ aInteger0(X37)
        | ~ aInteger0(X36)
        | ~ aInteger0(X35)
        | aDivisorOf0(X37,sdtpldt0(X35,smndt0(X36)))
        | ~ sdteqdtlpzmzozddtrp0(X35,X36,X37) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])]) ).

cnf(c_0_69,plain,
    ( ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sdteqdtlpzmzozddtrp0(X2,X1,X3)
    | X3 = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_70,negated_conjecture,
    sdteqdtlpzmzozddtrp0(xb,xc,xq),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_71,hypothesis,
    aInteger0(xq),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_72,hypothesis,
    xq != sz00,
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ aInteger0(smndt0(smndt0(xb)))
    | smndt0(smndt0(xb)) = sdtpldt0(xc,sdtasdt0(xq,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_65]) ).

cnf(c_0_74,negated_conjecture,
    sdtpldt0(smndt0(smndt0(xc)),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,smndt0(smndt0(xb))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_28]),c_0_36])]) ).

fof(c_0_75,plain,
    ! [X30,X31,X33,X34] :
      ( ( ~ aInteger0(X30)
        | aDivisorOf0(X33,X30)
        | sdtasdt0(X33,X34) != X30
        | ~ aInteger0(X34)
        | X33 = sz00
        | ~ aInteger0(X33) )
      & ( ~ aInteger0(X30)
        | ~ aDivisorOf0(X31,X30)
        | sdtasdt0(X31,esk1_2(X30,X31)) = X30 )
      & ( ~ aInteger0(X30)
        | ~ aDivisorOf0(X31,X30)
        | aInteger0(esk1_2(X30,X31)) )
      & ( ~ aInteger0(X30)
        | ~ aDivisorOf0(X31,X30)
        | X31 != sz00 )
      & ( ~ aInteger0(X30)
        | ~ aDivisorOf0(X31,X30)
        | aInteger0(X31) ) ),
    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_67])])])])])])]) ).

cnf(c_0_76,plain,
    ( ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
    | X3 = sz00
    | aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_77,negated_conjecture,
    sdteqdtlpzmzozddtrp0(xc,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_69,c_0_70]),c_0_71]),c_0_40]),c_0_36])]),c_0_72]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ aInteger0(smndt0(xb))
    | smndt0(smndt0(xb)) = sdtpldt0(xc,sdtasdt0(xq,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_73,c_0_28]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ aInteger0(smndt0(smndt0(xc)))
    | aInteger0(sdtpldt0(sz00,smndt0(smndt0(xb)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_74]),c_0_44])]) ).

cnf(c_0_80,plain,
    ( ~ aInteger0(X2)
    | ~ aDivisorOf0(X1,X2)
    | sdtasdt0(X1,esk1_2(X2,X1)) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_81,negated_conjecture,
    aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb))),
    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_76,c_0_77]),c_0_71]),c_0_36]),c_0_40])]),c_0_72]) ).

cnf(c_0_82,plain,
    ( ~ aInteger0(X1)
    | ~ aDivisorOf0(X2,X1)
    | aInteger0(esk1_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_83,negated_conjecture,
    smndt0(smndt0(xb)) = sdtpldt0(xc,sdtasdt0(xq,esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_28]),c_0_36])]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ aInteger0(smndt0(xc))
    | aInteger0(sdtpldt0(sz00,smndt0(smndt0(xb)))) ),
    inference(spm,[status(thm)],[c_0_79,c_0_28]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ aInteger0(sdtpldt0(xc,smndt0(xb)))
    | sdtasdt0(xq,esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) = sdtpldt0(xc,smndt0(xb)) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ aInteger0(sdtpldt0(xc,smndt0(xb)))
    | aInteger0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_81]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ aInteger0(smndt0(xb))
    | sdtpldt0(smndt0(xb),sdtpldt0(xc,sdtasdt0(xq,esk3_0))) = sz00 ),
    inference(spm,[status(thm)],[c_0_54,c_0_83]) ).

cnf(c_0_88,negated_conjecture,
    aInteger0(sdtpldt0(sz00,smndt0(smndt0(xb)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_28]),c_0_40])]) ).

fof(c_0_89,plain,
    ! [X17,X18,X19] :
      ( sdtasdt0(X17,sdtasdt0(X18,X19)) = sdtasdt0(sdtasdt0(X17,X18),X19)
      | ~ aInteger0(X19)
      | ~ aInteger0(X18)
      | ~ aInteger0(X17) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])])]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ aInteger0(smndt0(xb))
    | sdtasdt0(xq,esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) = sdtpldt0(xc,smndt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_37]),c_0_40])]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ aInteger0(smndt0(xb))
    | aInteger0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_37]),c_0_40])]) ).

cnf(c_0_92,negated_conjecture,
    sdtpldt0(smndt0(xb),sdtpldt0(xc,sdtasdt0(xq,esk3_0))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_28]),c_0_36])]) ).

cnf(c_0_93,negated_conjecture,
    sdtpldt0(sz00,sdtpldt0(xc,sdtasdt0(xq,esk3_0))) = sdtpldt0(xc,sdtasdt0(xq,esk3_0)),
    inference(rw,[status(thm)],[c_0_65,c_0_83]) ).

cnf(c_0_94,negated_conjecture,
    aInteger0(sdtpldt0(xc,sdtasdt0(xq,esk3_0))),
    inference(rw,[status(thm)],[c_0_88,c_0_65]) ).

cnf(c_0_95,plain,
    ( ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_96,negated_conjecture,
    sdtasdt0(xq,esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) = sdtpldt0(xc,smndt0(xb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_28]),c_0_36])]) ).

cnf(c_0_97,negated_conjecture,
    aInteger0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_28]),c_0_36])]) ).

fof(c_0_98,plain,
    ! [X26] :
      ( ( ~ aInteger0(X26)
        | sz00 = sdtasdt0(sz00,X26) )
      & ( ~ aInteger0(X26)
        | sdtasdt0(X26,sz00) = sz00 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])])]) ).

fof(c_0_99,plain,
    ! [X8,X9] :
      ( aInteger0(sdtasdt0(X8,X9))
      | ~ aInteger0(X9)
      | ~ aInteger0(X8) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])])]) ).

cnf(c_0_100,negated_conjecture,
    sdtpldt0(xc,sdtasdt0(xq,esk3_0)) = sdtpldt0(xb,sz00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_92]),c_0_93]),c_0_94]),c_0_36])]) ).

cnf(c_0_101,negated_conjecture,
    ( ~ aInteger0(X1)
    | sdtasdt0(xq,sdtasdt0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq),X1)) = sdtasdt0(sdtpldt0(xc,smndt0(xb)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),c_0_71])]) ).

cnf(c_0_102,plain,
    ( ~ aInteger0(X1)
    | sdtasdt0(X1,sz00) = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_103,plain,
    ( ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | aInteger0(sdtasdt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ aInteger0(smndt0(xb))
    | aInteger0(sdtpldt0(sz00,smndt0(xc))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_43]),c_0_44])]) ).

cnf(c_0_105,negated_conjecture,
    sdtpldt0(smndt0(xb),sdtpldt0(xb,sz00)) = sz00,
    inference(rw,[status(thm)],[c_0_92,c_0_100]) ).

cnf(c_0_106,plain,
    ( ~ aInteger0(X1)
    | sdtpldt0(X1,sz00) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_107,plain,
    ! [X20,X21] :
      ( sdtasdt0(X20,X21) = sdtasdt0(X21,X20)
      | ~ aInteger0(X21)
      | ~ aInteger0(X20) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])])]) ).

cnf(c_0_108,negated_conjecture,
    sdtasdt0(sdtpldt0(xc,smndt0(xb)),sz00) = sdtasdt0(xq,sz00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_33]),c_0_97])]) ).

cnf(c_0_109,negated_conjecture,
    aInteger0(sdtpldt0(xc,smndt0(xb))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_96]),c_0_97]),c_0_71])]) ).

cnf(c_0_110,negated_conjecture,
    aInteger0(sdtpldt0(sz00,smndt0(xc))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_28]),c_0_36])]) ).

cnf(c_0_111,negated_conjecture,
    sdtpldt0(smndt0(xb),xb) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_36])]) ).

cnf(c_0_112,plain,
    ( ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_113,negated_conjecture,
    sdtasdt0(xq,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_108]),c_0_109])]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ aInteger0(smndt0(smndt0(xb)))
    | sdtpldt0(sdtpldt0(sz00,smndt0(xc)),smndt0(smndt0(xb))) = sdtasdt0(xq,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_110])]) ).

cnf(c_0_115,negated_conjecture,
    sdtpldt0(xb,sz00) = sdtpldt0(sz00,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_111]),c_0_36])]) ).

cnf(c_0_116,negated_conjecture,
    sdtasdt0(sz00,xq) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_33]),c_0_71])]) ).

fof(c_0_117,plain,
    ! [X27] :
      ( ( ~ aInteger0(X27)
        | smndt0(X27) = sdtasdt0(X27,smndt0(sz10)) )
      & ( ~ aInteger0(X27)
        | sdtasdt0(smndt0(sz10),X27) = smndt0(X27) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])])]) ).

cnf(c_0_118,negated_conjecture,
    sdtpldt0(sdtpldt0(sz00,smndt0(xc)),sdtpldt0(xc,sdtasdt0(xq,esk3_0))) = sdtasdt0(xq,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_83]),c_0_83]),c_0_94])]) ).

cnf(c_0_119,negated_conjecture,
    sdtpldt0(sz00,xb) = xb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_115]),c_0_36])]) ).

cnf(c_0_120,negated_conjecture,
    ( ~ aInteger0(X1)
    | sdtasdt0(sz00,sdtasdt0(xq,X1)) = sdtasdt0(sz00,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_116]),c_0_71]),c_0_33])]) ).

cnf(c_0_121,plain,
    ( ~ aInteger0(X1)
    | smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_122,plain,
    ( ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | ~ aInteger0(X3)
    | sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X2,sdtpldt0(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_50]) ).

cnf(c_0_123,negated_conjecture,
    sdtpldt0(sdtpldt0(sz00,smndt0(xc)),xb) = sdtasdt0(xq,esk3_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_100]),c_0_115]),c_0_119]) ).

cnf(c_0_124,negated_conjecture,
    ( ~ aInteger0(X1)
    | ~ aInteger0(smndt0(xc))
    | sdtpldt0(xb,sdtpldt0(smndt0(xc),X1)) = sdtpldt0(sdtasdt0(xq,esk3_0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_35]),c_0_36])]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ aInteger0(smndt0(sz10))
    | sdtasdt0(sz00,smndt0(sz10)) = sdtasdt0(sz00,smndt0(xq)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_71])]) ).

cnf(c_0_126,plain,
    aInteger0(sz10),
    inference(split_conjunct,[status(thm)],[mIntOne]) ).

cnf(c_0_127,plain,
    ( ~ aInteger0(smndt0(sz00))
    | smndt0(sz00) = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_27]),c_0_33])]) ).

cnf(c_0_128,negated_conjecture,
    ( ~ aInteger0(smndt0(xc))
    | sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_119]),c_0_36]),c_0_33])]) ).

cnf(c_0_129,negated_conjecture,
    ( ~ aInteger0(X1)
    | sdtpldt0(xb,sdtpldt0(smndt0(xc),X1)) = sdtpldt0(sdtasdt0(xq,esk3_0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_28]),c_0_40])]) ).

cnf(c_0_130,plain,
    ( ~ aInteger0(X1)
    | sz00 = sdtasdt0(sz00,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_131,negated_conjecture,
    sdtasdt0(sz00,smndt0(sz10)) = sdtasdt0(sz00,smndt0(xq)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_28]),c_0_126])]) ).

cnf(c_0_132,plain,
    smndt0(sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_28]),c_0_33])]) ).

cnf(c_0_133,plain,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(smndt0(sdtpldt0(X1,X2)))
    | sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_26]),c_0_37]) ).

cnf(c_0_134,negated_conjecture,
    sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_28]),c_0_40])]) ).

cnf(c_0_135,negated_conjecture,
    sdtpldt0(sdtasdt0(xq,esk3_0),xc) = xb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_27]),c_0_115]),c_0_119]),c_0_40])]) ).

cnf(c_0_136,plain,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | sdtasdt0(sz00,sdtasdt0(X1,X2)) = sdtasdt0(sz00,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_130]),c_0_33])]) ).

cnf(c_0_137,negated_conjecture,
    sdtasdt0(sz00,smndt0(xq)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_131]),c_0_132]),c_0_33])]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ aInteger0(smndt0(xc))
    | ~ aInteger0(smndt0(sdtasdt0(xq,esk3_0)))
    | sdtpldt0(smndt0(xc),sdtpldt0(xb,smndt0(sdtasdt0(xq,esk3_0)))) = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_36])]) ).

cnf(c_0_139,negated_conjecture,
    sdtpldt0(smndt0(sdtasdt0(xq,esk3_0)),xb) = sdtpldt0(sz00,xc),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_135]),c_0_40]),c_0_44])]) ).

cnf(c_0_140,plain,
    ( ~ aInteger0(X1)
    | ~ aInteger0(smndt0(sz10))
    | sdtasdt0(sz00,smndt0(X1)) = sz00 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_121]),c_0_131]),c_0_137]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ aInteger0(smndt0(sdtasdt0(xq,esk3_0)))
    | sdtpldt0(smndt0(xc),sdtpldt0(xb,smndt0(sdtasdt0(xq,esk3_0)))) = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_28]),c_0_40])]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ aInteger0(smndt0(sdtasdt0(xq,esk3_0)))
    | sdtpldt0(xb,smndt0(sdtasdt0(xq,esk3_0))) = sdtpldt0(sz00,xc) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_139]),c_0_36])]) ).

cnf(c_0_143,plain,
    ( ~ aInteger0(X1)
    | sdtasdt0(sz00,smndt0(X1)) = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_28]),c_0_126])]) ).

cnf(c_0_144,negated_conjecture,
    smndt0(smndt0(xb)) = sdtpldt0(xb,sz00),
    inference(rw,[status(thm)],[c_0_83,c_0_100]) ).

cnf(c_0_145,negated_conjecture,
    sdtpldt0(smndt0(xc),sdtpldt0(xb,smndt0(sdtasdt0(xq,esk3_0)))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_28]),c_0_44])]) ).

cnf(c_0_146,negated_conjecture,
    sdtpldt0(xb,smndt0(sdtasdt0(xq,esk3_0))) = sdtpldt0(sz00,xc),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_28]),c_0_44])]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ aInteger0(smndt0(xb))
    | sdtasdt0(sz00,sdtpldt0(xb,sz00)) = sz00 ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_148,negated_conjecture,
    sdtpldt0(smndt0(xc),sdtpldt0(sz00,xc)) = sz00,
    inference(rw,[status(thm)],[c_0_145,c_0_146]) ).

fof(c_0_149,plain,
    ! [X23,X24,X25] :
      ( ( ~ aInteger0(X25)
        | ~ aInteger0(X24)
        | ~ aInteger0(X23)
        | sdtasdt0(sdtpldt0(X23,X24),X25) = sdtpldt0(sdtasdt0(X23,X25),sdtasdt0(X24,X25)) )
      & ( ~ aInteger0(X25)
        | ~ aInteger0(X24)
        | ~ aInteger0(X23)
        | sdtasdt0(X23,sdtpldt0(X24,X25)) = sdtpldt0(sdtasdt0(X23,X24),sdtasdt0(X23,X25)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistrib])])])]) ).

fof(c_0_150,plain,
    ! [X22] :
      ( ( ~ aInteger0(X22)
        | X22 = sdtasdt0(sz10,X22) )
      & ( ~ aInteger0(X22)
        | sdtasdt0(X22,sz10) = X22 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulOne])])])]) ).

cnf(c_0_151,negated_conjecture,
    ( ~ aInteger0(smndt0(xb))
    | sdtasdt0(sz00,sdtpldt0(sz00,xb)) = sz00 ),
    inference(rw,[status(thm)],[c_0_147,c_0_115]) ).

cnf(c_0_152,negated_conjecture,
    sdtpldt0(smndt0(xc),xc) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_32]),c_0_40])]) ).

cnf(c_0_153,plain,
    ( ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_154,plain,
    ( ~ aInteger0(X1)
    | X1 = sdtasdt0(sz10,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_155,negated_conjecture,
    ( ~ aInteger0(smndt0(xb))
    | sdtasdt0(sz00,xb) = sz00 ),
    inference(rw,[status(thm)],[c_0_151,c_0_119]) ).

cnf(c_0_156,negated_conjecture,
    sdtpldt0(xc,sz00) = sdtpldt0(sz00,xc),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_152]),c_0_40])]) ).

cnf(c_0_157,plain,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | sdtpldt0(sdtasdt0(X1,X2),X2) = sdtasdt0(sdtpldt0(X1,sz10),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_126])]) ).

cnf(c_0_158,negated_conjecture,
    sdtasdt0(sz00,xb) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_28]),c_0_36])]) ).

cnf(c_0_159,plain,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X3)
    | aInteger0(sdtasdt0(sdtpldt0(X1,X2),X3)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_153]),c_0_103]),c_0_103]) ).

cnf(c_0_160,negated_conjecture,
    sdtpldt0(sz00,xc) = xc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_156]),c_0_40])]) ).

cnf(c_0_161,negated_conjecture,
    sdtasdt0(sdtpldt0(sz00,sz10),xb) = xb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_119]),c_0_36]),c_0_33])]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ aInteger0(X1)
    | aInteger0(sdtasdt0(xc,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_40]),c_0_33])]) ).

cnf(c_0_163,plain,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X3)
    | aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_95]),c_0_103]) ).

cnf(c_0_164,negated_conjecture,
    sdtasdt0(sz10,xb) = xb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_32]),c_0_126])]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ aInteger0(smndt0(xc))
    | sdtpldt0(xc,smndt0(xc)) = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_152]),c_0_40])]) ).

cnf(c_0_166,negated_conjecture,
    ( ~ aInteger0(smndt0(sz10))
    | aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_121]),c_0_40])]) ).

cnf(c_0_167,negated_conjecture,
    ( ~ aInteger0(X1)
    | aInteger0(sdtasdt0(X1,xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_36]),c_0_126])]) ).

cnf(c_0_168,plain,
    ( ~ aInteger0(X1)
    | sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_169,negated_conjecture,
    sdtpldt0(xc,smndt0(xc)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_28]),c_0_40])]) ).

cnf(c_0_170,negated_conjecture,
    aInteger0(smndt0(xc)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_28]),c_0_126])]) ).

cnf(c_0_171,negated_conjecture,
    sdtasdt0(xq,esk2_0) = sdtpldt0(xa,smndt0(xb)),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_172,hypothesis,
    aInteger0(xa),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_173,negated_conjecture,
    ( ~ aInteger0(smndt0(sz10))
    | aInteger0(smndt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_36])]) ).

cnf(c_0_174,negated_conjecture,
    sdtpldt0(smndt0(xc),sz00) = sdtpldt0(sz00,smndt0(xc)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_169]),c_0_40])]),c_0_170])]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ aInteger0(X1)
    | ~ aInteger0(smndt0(xb))
    | sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk2_0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_171]),c_0_172])]) ).

cnf(c_0_176,negated_conjecture,
    aInteger0(smndt0(xb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_28]),c_0_126])]) ).

cnf(c_0_177,negated_conjecture,
    sdtpldt0(sz00,smndt0(xc)) = smndt0(xc),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_174]),c_0_170])]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ aInteger0(X1)
    | sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk2_0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_176])]) ).

cnf(c_0_179,negated_conjecture,
    sdtpldt0(smndt0(xb),sdtasdt0(xq,esk3_0)) = smndt0(xc),
    inference(rw,[status(thm)],[c_0_43,c_0_177]) ).

cnf(c_0_180,plain,
    ( ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_181,negated_conjecture,
    sdtpldt0(sdtasdt0(xq,esk2_0),sdtasdt0(xq,esk3_0)) = sdtpldt0(xa,smndt0(xc)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_44])]) ).

cnf(c_0_182,negated_conjecture,
    aInteger0(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_183,negated_conjecture,
    aInteger0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_184,negated_conjecture,
    ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc))),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_185,negated_conjecture,
    sdtpldt0(xa,smndt0(xc)) = sdtasdt0(xq,sdtpldt0(esk2_0,esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]),c_0_183]),c_0_71])]) ).

cnf(c_0_186,plain,
    ( ~ aInteger0(X3)
    | sdtasdt0(X1,X2) != X3
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | aDivisorOf0(X1,X3)
    | X1 = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_187,negated_conjecture,
    ~ aDivisorOf0(xq,sdtasdt0(xq,sdtpldt0(esk2_0,esk3_0))),
    inference(rw,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_188,plain,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | aDivisorOf0(X1,sdtasdt0(X1,X2))
    | X1 = sz00 ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_186]),c_0_103]) ).

cnf(c_0_189,negated_conjecture,
    ~ aInteger0(sdtpldt0(esk2_0,esk3_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_71])]),c_0_72]) ).

cnf(c_0_190,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_37]),c_0_182]),c_0_183])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM428+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n020.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep 21 02:29:32 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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
% 4.96/1.13  % Version: 3.5.1
% 4.96/1.13  % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.96/1.13  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.96/1.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.96/1.13  % Starting new_bool_3 with 300s (1) cores
% 4.96/1.13  % Starting new_bool_1 with 300s (1) cores
% 4.96/1.13  % Starting sh5l with 300s (1) cores
% 4.96/1.13  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1798066 completed with status 0
% 4.96/1.13  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.96/1.13  % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.96/1.13  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.96/1.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.96/1.13  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.96/1.13  % No SInE strategy applied
% 4.96/1.13  % Search class: FGHSF-FFMM21-SFFFFFNN
% 4.96/1.13  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.96/1.13  % Starting SubtermCWHack with 136s (1) cores
% 4.96/1.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.96/1.13  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 4.96/1.13  % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 4.96/1.13  % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 4.96/1.13  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with pid 1798074 completed with status 0
% 4.96/1.13  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 4.96/1.13  % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.96/1.13  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.96/1.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.96/1.13  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.96/1.13  % No SInE strategy applied
% 4.96/1.13  % Search class: FGHSF-FFMM21-SFFFFFNN
% 4.96/1.13  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.96/1.13  % Starting SubtermCWHack with 136s (1) cores
% 4.96/1.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.96/1.13  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 4.96/1.13  % Preprocessing time       : 0.002 s
% 4.96/1.13  % Presaturation interreduction done
% 4.96/1.13  
% 4.96/1.13  % Proof found!
% 4.96/1.13  % SZS status Theorem
% 4.96/1.13  % SZS output start CNFRefutation
% See solution above
% 4.96/1.13  % Parsed axioms                        : 23
% 4.96/1.13  % Removed by relevancy pruning/SinE    : 0
% 4.96/1.13  % Initial clauses                      : 48
% 4.96/1.13  % Removed in clause preprocessing      : 1
% 4.96/1.13  % Initial clauses in saturation        : 47
% 4.96/1.13  % Processed clauses                    : 4038
% 4.96/1.13  % ...of these trivial                  : 254
% 4.96/1.13  % ...subsumed                          : 2158
% 4.96/1.13  % ...remaining for further processing  : 1626
% 4.96/1.13  % Other redundant clauses eliminated   : 3
% 4.96/1.13  % Clauses deleted for lack of memory   : 0
% 4.96/1.13  % Backward-subsumed                    : 73
% 4.96/1.13  % Backward-rewritten                   : 642
% 4.96/1.13  % Generated clauses                    : 30463
% 4.96/1.13  % ...of the previous two non-redundant : 26989
% 4.96/1.13  % ...aggressively subsumed             : 0
% 4.96/1.13  % Contextual simplify-reflections      : 99
% 4.96/1.13  % Paramodulations                      : 30460
% 4.96/1.13  % Factorizations                       : 0
% 4.96/1.13  % NegExts                              : 0
% 4.96/1.13  % Equation resolutions                 : 3
% 4.96/1.13  % Disequality decompositions           : 0
% 4.96/1.13  % Total rewrite steps                  : 42461
% 4.96/1.13  % ...of those cached                   : 42019
% 4.96/1.13  % Propositional unsat checks           : 0
% 4.96/1.13  %    Propositional check models        : 0
% 4.96/1.13  %    Propositional check unsatisfiable : 0
% 4.96/1.13  %    Propositional clauses             : 0
% 4.96/1.13  %    Propositional clauses after purity: 0
% 4.96/1.13  %    Propositional unsat core size     : 0
% 4.96/1.13  %    Propositional preprocessing time  : 0.000
% 4.96/1.13  %    Propositional encoding time       : 0.000
% 4.96/1.13  %    Propositional solver time         : 0.000
% 4.96/1.13  %    Success case prop preproc time    : 0.000
% 4.96/1.13  %    Success case prop encoding time   : 0.000
% 4.96/1.13  %    Success case prop solver time     : 0.000
% 4.96/1.13  % Current number of processed clauses  : 862
% 4.96/1.13  %    Positive orientable unit clauses  : 382
% 4.96/1.13  %    Positive unorientable unit clauses: 0
% 4.96/1.13  %    Negative unit clauses             : 9
% 4.96/1.13  %    Non-unit-clauses                  : 471
% 4.96/1.13  % Current number of unprocessed clauses: 22878
% 4.96/1.13  % ...number of literals in the above   : 81551
% 4.96/1.13  % Current number of archived formulas  : 0
% 4.96/1.13  % Current number of archived clauses   : 762
% 4.96/1.13  % Clause-clause subsumption calls (NU) : 96770
% 4.96/1.13  % Rec. Clause-clause subsumption calls : 47206
% 4.96/1.13  % Non-unit clause-clause subsumptions  : 1581
% 4.96/1.13  % Unit Clause-clause subsumption calls : 20637
% 4.96/1.13  % Rewrite failures with RHS unbound    : 0
% 4.96/1.13  % BW rewrite match attempts            : 459
% 4.96/1.13  % BW rewrite match successes           : 191
% 4.96/1.13  % Condensation attempts                : 0
% 4.96/1.13  % Condensation successes               : 0
% 4.96/1.13  % Termbank termtop insertions          : 658588
% 4.96/1.13  % Search garbage collected termcells   : 582
% 4.96/1.13  
% 4.96/1.13  % -------------------------------------------------
% 4.96/1.13  % User time                : 0.626 s
% 4.96/1.13  % System time              : 0.023 s
% 4.96/1.13  % Total time               : 0.649 s
% 4.96/1.13  % Maximum resident set size: 3660 pages
% 4.96/1.13  
% 4.96/1.13  % -------------------------------------------------
% 4.96/1.13  % User time                : 3.101 s
% 4.96/1.13  % System time              : 0.152 s
% 4.96/1.13  % Total time               : 3.253 s
% 4.96/1.13  % Maximum resident set size: 4864 pages
% 4.96/1.13  % E exiting
%------------------------------------------------------------------------------