TSTP Solution File: NUM424+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUM424+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:07:04 EDT 2023

% Result   : Theorem 3.13s 0.82s
% Output   : CNFRefutation 3.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  144 (  59 unt;   0 def)
%            Number of atoms       :  328 ( 128 equ)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  320 ( 136   ~; 127   |;  42   &)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  108 (   0 sgn;  49   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ( ? [X1] :
          ( aInteger0(X1)
          & sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) )
      & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
      & sdteqdtlpzmzozddtrp0(xa,xb,xq) )
   => ( ? [X1] :
          ( aInteger0(X1)
          & sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xa)) )
      | aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
      | sdteqdtlpzmzozddtrp0(xb,xa,xq) ) ),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',m__) ).

fof(mAddAsso,axiom,
    ! [X1,X2,X3] :
      ( ( aInteger0(X1)
        & aInteger0(X2)
        & aInteger0(X3) )
     => sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',mAddAsso) ).

fof(m__704,hypothesis,
    ( aInteger0(xa)
    & aInteger0(xb)
    & aInteger0(xq)
    & xq != sz00 ),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',m__704) ).

fof(mIntNeg,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => aInteger0(smndt0(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',mIntNeg) ).

fof(mIntPlus,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X1)
        & aInteger0(X2) )
     => aInteger0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',mIntPlus) ).

fof(mAddZero,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ( sdtpldt0(X1,sz00) = X1
        & X1 = sdtpldt0(sz00,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',mAddZero) ).

fof(mAddNeg,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ( sdtpldt0(X1,smndt0(X1)) = sz00
        & sz00 = sdtpldt0(smndt0(X1),X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',mAddNeg) ).

fof(mIntZero,axiom,
    aInteger0(sz00),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',mIntZero) ).

fof(mAddComm,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X1)
        & aInteger0(X2) )
     => sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',mAddComm) ).

fof(mDistrib,axiom,
    ! [X1,X2,X3] :
      ( ( aInteger0(X1)
        & aInteger0(X2)
        & aInteger0(X3) )
     => ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
        & sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',mDistrib) ).

fof(mIntMult,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X1)
        & aInteger0(X2) )
     => aInteger0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',mIntMult) ).

fof(mMulMinOne,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
        & smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',mMulMinOne) ).

fof(mIntOne,axiom,
    aInteger0(sz10),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',mIntOne) ).

fof(mMulComm,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X1)
        & aInteger0(X2) )
     => sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',mMulComm) ).

fof(mMulAsso,axiom,
    ! [X1,X2,X3] :
      ( ( aInteger0(X1)
        & aInteger0(X2)
        & aInteger0(X3) )
     => sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3) ),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',mMulAsso) ).

fof(mDivisor,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ! [X2] :
          ( aDivisorOf0(X2,X1)
        <=> ( aInteger0(X2)
            & X2 != sz00
            & ? [X3] :
                ( aInteger0(X3)
                & sdtasdt0(X2,X3) = X1 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p',mDivisor) ).

fof(c_0_16,negated_conjecture,
    ~ ( ( ? [X1] :
            ( aInteger0(X1)
            & sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) )
        & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
        & sdteqdtlpzmzozddtrp0(xa,xb,xq) )
     => ( ? [X1] :
            ( aInteger0(X1)
            & sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xa)) )
        | aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
        | sdteqdtlpzmzozddtrp0(xb,xa,xq) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_17,plain,
    ! [X18,X19,X20] :
      ( ~ aInteger0(X18)
      | ~ aInteger0(X19)
      | ~ aInteger0(X20)
      | sdtpldt0(X18,sdtpldt0(X19,X20)) = sdtpldt0(sdtpldt0(X18,X19),X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).

fof(c_0_18,negated_conjecture,
    ! [X5] :
      ( aInteger0(esk1_0)
      & sdtasdt0(xq,esk1_0) = sdtpldt0(xa,smndt0(xb))
      & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
      & sdteqdtlpzmzozddtrp0(xa,xb,xq)
      & ( ~ aInteger0(X5)
        | sdtasdt0(xq,X5) != sdtpldt0(xb,smndt0(xa)) )
      & ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
      & ~ sdteqdtlpzmzozddtrp0(xb,xa,xq) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).

cnf(c_0_19,plain,
    ( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    sdtasdt0(xq,esk1_0) = sdtpldt0(xa,smndt0(xb)),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_21,hypothesis,
    aInteger0(xa),
    inference(split_conjunct,[status(thm)],[m__704]) ).

fof(c_0_22,plain,
    ! [X28] :
      ( ~ aInteger0(X28)
      | aInteger0(smndt0(X28)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).

fof(c_0_23,plain,
    ! [X16,X17] :
      ( ~ aInteger0(X16)
      | ~ aInteger0(X17)
      | aInteger0(sdtpldt0(X16,X17)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).

cnf(c_0_24,negated_conjecture,
    ( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk1_0),X1)
    | ~ aInteger0(smndt0(xb))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_25,plain,
    ( aInteger0(smndt0(X1))
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_26,hypothesis,
    aInteger0(xb),
    inference(split_conjunct,[status(thm)],[m__704]) ).

fof(c_0_27,plain,
    ! [X23] :
      ( ( sdtpldt0(X23,sz00) = X23
        | ~ aInteger0(X23) )
      & ( X23 = sdtpldt0(sz00,X23)
        | ~ aInteger0(X23) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).

fof(c_0_28,plain,
    ! [X24] :
      ( ( sdtpldt0(X24,smndt0(X24)) = sz00
        | ~ aInteger0(X24) )
      & ( sz00 = sdtpldt0(smndt0(X24),X24)
        | ~ aInteger0(X24) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])]) ).

cnf(c_0_29,plain,
    ( aInteger0(sdtpldt0(X1,X2))
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    ( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk1_0),X1)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).

cnf(c_0_31,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_32,plain,
    aInteger0(sz00),
    inference(split_conjunct,[status(thm)],[mIntZero]) ).

fof(c_0_33,plain,
    ! [X21,X22] :
      ( ~ aInteger0(X21)
      | ~ aInteger0(X22)
      | sdtpldt0(X21,X22) = sdtpldt0(X22,X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).

cnf(c_0_34,plain,
    ( sz00 = sdtpldt0(smndt0(X1),X1)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,negated_conjecture,
    ( aInteger0(sdtasdt0(xq,esk1_0))
    | ~ aInteger0(smndt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_20]),c_0_21])]) ).

cnf(c_0_36,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xq,esk1_0),sz00) = sdtasdt0(xq,esk1_0)
    | ~ aInteger0(smndt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_20]),c_0_32])]) ).

cnf(c_0_37,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    sdtpldt0(sdtasdt0(xq,esk1_0),xb) = sdtpldt0(xa,sz00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_34]),c_0_26])]) ).

cnf(c_0_39,negated_conjecture,
    aInteger0(sdtasdt0(xq,esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_25]),c_0_26])]) ).

cnf(c_0_40,negated_conjecture,
    sdtpldt0(sdtasdt0(xq,esk1_0),sz00) = sdtasdt0(xq,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_25]),c_0_26])]) ).

cnf(c_0_41,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_34]),c_0_25]) ).

cnf(c_0_42,negated_conjecture,
    sdtpldt0(xb,sdtasdt0(xq,esk1_0)) = sdtpldt0(xa,sz00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_26]),c_0_39])]) ).

cnf(c_0_43,negated_conjecture,
    sdtpldt0(sz00,sdtasdt0(xq,esk1_0)) = sdtasdt0(xq,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_40]),c_0_32]),c_0_39])]) ).

cnf(c_0_44,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_45,negated_conjecture,
    sdtpldt0(smndt0(xb),sdtpldt0(xa,sz00)) = sdtasdt0(xq,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_39]),c_0_26])]) ).

cnf(c_0_46,plain,
    ( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_44]),c_0_25]) ).

cnf(c_0_47,negated_conjecture,
    sdtpldt0(smndt0(xb),xa) = sdtasdt0(xq,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_31]),c_0_21])]) ).

fof(c_0_48,plain,
    ! [X25,X26,X27] :
      ( ( sdtasdt0(X25,sdtpldt0(X26,X27)) = sdtpldt0(sdtasdt0(X25,X26),sdtasdt0(X25,X27))
        | ~ aInteger0(X25)
        | ~ aInteger0(X26)
        | ~ aInteger0(X27) )
      & ( sdtasdt0(sdtpldt0(X25,X26),X27) = sdtpldt0(sdtasdt0(X25,X27),sdtasdt0(X26,X27))
        | ~ aInteger0(X25)
        | ~ aInteger0(X26)
        | ~ aInteger0(X27) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistrib])])]) ).

fof(c_0_49,plain,
    ! [X30,X31] :
      ( ~ aInteger0(X30)
      | ~ aInteger0(X31)
      | aInteger0(sdtasdt0(X30,X31)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])]) ).

cnf(c_0_50,negated_conjecture,
    sdtpldt0(xa,sz00) = sdtpldt0(sz00,xa),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_42]),c_0_21]),c_0_26])]) ).

cnf(c_0_51,plain,
    ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_52,plain,
    ( aInteger0(sdtasdt0(X1,X2))
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    sdtpldt0(sz00,xa) = xa,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_50]),c_0_21])]) ).

cnf(c_0_54,plain,
    ( aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3)))
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_51]),c_0_52]),c_0_52]) ).

cnf(c_0_55,negated_conjecture,
    sdtpldt0(xb,sdtasdt0(xq,esk1_0)) = xa,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_50]),c_0_53]) ).

fof(c_0_56,plain,
    ! [X29] :
      ( ( sdtasdt0(smndt0(sz10),X29) = smndt0(X29)
        | ~ aInteger0(X29) )
      & ( smndt0(X29) = sdtasdt0(X29,smndt0(sz10))
        | ~ aInteger0(X29) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])]) ).

cnf(c_0_57,plain,
    ( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
    | ~ aInteger0(smndt0(sdtpldt0(X1,X2)))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_19]),c_0_29]) ).

cnf(c_0_58,negated_conjecture,
    sdtpldt0(sdtasdt0(xq,esk1_0),xb) = xa,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_50]),c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    ( aInteger0(sdtasdt0(X1,xa))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_39]),c_0_26])]) ).

cnf(c_0_60,plain,
    ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_61,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xq,esk1_0),sdtpldt0(xb,smndt0(xa))) = sz00
    | ~ aInteger0(smndt0(xa)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_26]),c_0_39])]) ).

cnf(c_0_62,negated_conjecture,
    ( sdtpldt0(smndt0(xa),sdtasdt0(xq,esk1_0)) = sdtpldt0(sz00,smndt0(xb))
    | ~ aInteger0(smndt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_20]),c_0_21])]) ).

cnf(c_0_63,negated_conjecture,
    ( aInteger0(smndt0(xa))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_21])]) ).

cnf(c_0_64,plain,
    aInteger0(sz10),
    inference(split_conjunct,[status(thm)],[mIntOne]) ).

cnf(c_0_65,plain,
    ( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_19]),c_0_29]) ).

cnf(c_0_66,negated_conjecture,
    sdtpldt0(sdtasdt0(xq,esk1_0),sdtpldt0(xb,smndt0(xa))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_25]),c_0_21])]) ).

cnf(c_0_67,negated_conjecture,
    sdtpldt0(smndt0(xa),sdtasdt0(xq,esk1_0)) = sdtpldt0(sz00,smndt0(xb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_25]),c_0_26])]) ).

cnf(c_0_68,negated_conjecture,
    aInteger0(smndt0(xa)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_25]),c_0_64])]) ).

cnf(c_0_69,negated_conjecture,
    sdtpldt0(xb,sdtpldt0(sz00,smndt0(xb))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_39]),c_0_26])]),c_0_68])]) ).

cnf(c_0_70,plain,
    ( X1 = sdtpldt0(sz00,X1)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_71,negated_conjecture,
    ( sdtpldt0(sz00,sdtpldt0(smndt0(xb),xb)) = sz00
    | ~ aInteger0(smndt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_69]),c_0_26]),c_0_32])]) ).

cnf(c_0_72,plain,
    ( sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_70]),c_0_32])]) ).

cnf(c_0_73,negated_conjecture,
    sdtpldt0(sz00,sdtpldt0(smndt0(xb),xb)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_25]),c_0_26])]) ).

cnf(c_0_74,negated_conjecture,
    ( sdtpldt0(smndt0(xb),xb) = sz00
    | ~ aInteger0(smndt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_26])]) ).

cnf(c_0_75,negated_conjecture,
    sdtpldt0(smndt0(xb),xb) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_25]),c_0_26])]) ).

cnf(c_0_76,negated_conjecture,
    sdtpldt0(xb,sz00) = sdtpldt0(sz00,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_75]),c_0_26])]) ).

cnf(c_0_77,plain,
    ( smndt0(sz00) = sz00
    | ~ aInteger0(smndt0(sz00)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_34]),c_0_32])]) ).

cnf(c_0_78,plain,
    ( sdtpldt0(X1,sdtpldt0(sz00,X2)) = sdtpldt0(X1,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_31]),c_0_32])]) ).

cnf(c_0_79,negated_conjecture,
    sdtpldt0(sz00,xb) = xb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_76]),c_0_26])]) ).

cnf(c_0_80,plain,
    smndt0(sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_25]),c_0_32])]) ).

cnf(c_0_81,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xq,esk1_0),smndt0(smndt0(xb))) = sdtpldt0(xa,sz00)
    | ~ aInteger0(smndt0(xb)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_44]),c_0_25]) ).

cnf(c_0_82,negated_conjecture,
    ( sdtpldt0(xb,smndt0(xb)) = sz00
    | ~ aInteger0(smndt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_69]),c_0_26])]) ).

cnf(c_0_83,negated_conjecture,
    ( aInteger0(sdtasdt0(X1,xb))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_79]),c_0_26]),c_0_32])]) ).

cnf(c_0_84,negated_conjecture,
    sdtpldt0(xa,sz00) = xa,
    inference(rw,[status(thm)],[c_0_50,c_0_53]) ).

cnf(c_0_85,plain,
    sdtpldt0(sz00,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_80]),c_0_32])]) ).

cnf(c_0_86,negated_conjecture,
    sdtpldt0(sdtasdt0(xq,esk1_0),smndt0(smndt0(xb))) = sdtpldt0(xa,sz00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_25]),c_0_26])]) ).

cnf(c_0_87,negated_conjecture,
    sdtpldt0(xb,smndt0(xb)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_25]),c_0_26])]) ).

cnf(c_0_88,negated_conjecture,
    ( aInteger0(smndt0(xb))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_60]),c_0_26])]) ).

cnf(c_0_89,negated_conjecture,
    sdtpldt0(smndt0(xa),xa) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_84]),c_0_85]),c_0_32]),c_0_21])]) ).

cnf(c_0_90,negated_conjecture,
    sdtpldt0(sdtasdt0(xq,esk1_0),smndt0(smndt0(xb))) = xa,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_50]),c_0_53]) ).

cnf(c_0_91,negated_conjecture,
    sdtpldt0(smndt0(sdtasdt0(xq,esk1_0)),xa) = sdtpldt0(sz00,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_58]),c_0_26]),c_0_39])]) ).

cnf(c_0_92,negated_conjecture,
    ( sdtpldt0(smndt0(xb),sz00) = sdtpldt0(sz00,smndt0(xb))
    | ~ aInteger0(smndt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_87]),c_0_26])]) ).

cnf(c_0_93,negated_conjecture,
    aInteger0(smndt0(xb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_25]),c_0_64])]) ).

cnf(c_0_94,negated_conjecture,
    ( sdtpldt0(xa,smndt0(xa)) = sz00
    | ~ aInteger0(smndt0(xa)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_89]),c_0_21])]) ).

cnf(c_0_95,negated_conjecture,
    ( sdtpldt0(sz00,smndt0(smndt0(xb))) = sdtpldt0(sz00,xb)
    | ~ aInteger0(smndt0(smndt0(xb))) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_90]),c_0_39])]),c_0_91]) ).

cnf(c_0_96,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xq,esk1_0),smndt0(xa)) = sdtpldt0(sz00,smndt0(xb))
    | ~ aInteger0(smndt0(xa)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_67]),c_0_39])]) ).

cnf(c_0_97,negated_conjecture,
    sdtpldt0(smndt0(xb),sz00) = sdtpldt0(sz00,smndt0(xb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]) ).

cnf(c_0_98,negated_conjecture,
    sdtpldt0(xa,smndt0(xa)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_25]),c_0_21])]) ).

cnf(c_0_99,negated_conjecture,
    ( sdtpldt0(sz00,smndt0(smndt0(xb))) = sdtpldt0(sz00,xb)
    | ~ aInteger0(smndt0(xb)) ),
    inference(spm,[status(thm)],[c_0_95,c_0_25]) ).

cnf(c_0_100,negated_conjecture,
    sdtpldt0(sdtasdt0(xq,esk1_0),smndt0(xa)) = sdtpldt0(sz00,smndt0(xb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_25]),c_0_21])]) ).

cnf(c_0_101,negated_conjecture,
    sdtpldt0(sz00,smndt0(xb)) = smndt0(xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_97]),c_0_93])]) ).

cnf(c_0_102,negated_conjecture,
    sdtpldt0(smndt0(xa),sz00) = sdtpldt0(sz00,smndt0(xa)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_98]),c_0_21])]),c_0_68])]) ).

cnf(c_0_103,negated_conjecture,
    ( sdtpldt0(sz00,smndt0(smndt0(xb))) = xb
    | ~ aInteger0(smndt0(xb)) ),
    inference(rw,[status(thm)],[c_0_99,c_0_79]) ).

cnf(c_0_104,negated_conjecture,
    sdtpldt0(sdtasdt0(xq,esk1_0),smndt0(xa)) = smndt0(xb),
    inference(rw,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_105,negated_conjecture,
    sdtpldt0(sz00,smndt0(xa)) = smndt0(xa),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_102]),c_0_68])]) ).

cnf(c_0_106,negated_conjecture,
    sdtpldt0(sz00,smndt0(smndt0(xb))) = xb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_25]),c_0_26])]) ).

cnf(c_0_107,negated_conjecture,
    ( sdtpldt0(xa,smndt0(sdtasdt0(xq,esk1_0))) = sdtpldt0(sz00,xb)
    | ~ aInteger0(smndt0(sdtasdt0(xq,esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_91]),c_0_21])]) ).

cnf(c_0_108,negated_conjecture,
    sdtpldt0(smndt0(sdtasdt0(xq,esk1_0)),smndt0(xb)) = smndt0(xa),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_104]),c_0_105]),c_0_68]),c_0_39])]) ).

cnf(c_0_109,negated_conjecture,
    ( smndt0(smndt0(xb)) = xb
    | ~ aInteger0(smndt0(smndt0(xb))) ),
    inference(spm,[status(thm)],[c_0_70,c_0_106]) ).

cnf(c_0_110,negated_conjecture,
    sdtpldt0(xa,smndt0(sdtasdt0(xq,esk1_0))) = sdtpldt0(sz00,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_25]),c_0_39])]) ).

cnf(c_0_111,negated_conjecture,
    ( sdtpldt0(smndt0(xb),smndt0(sdtasdt0(xq,esk1_0))) = smndt0(xa)
    | ~ aInteger0(smndt0(sdtasdt0(xq,esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_108]),c_0_93])]) ).

cnf(c_0_112,negated_conjecture,
    ( smndt0(smndt0(xb)) = xb
    | ~ aInteger0(smndt0(xb)) ),
    inference(spm,[status(thm)],[c_0_109,c_0_25]) ).

cnf(c_0_113,negated_conjecture,
    sdtpldt0(xa,smndt0(sdtasdt0(xq,esk1_0))) = xb,
    inference(rw,[status(thm)],[c_0_110,c_0_79]) ).

fof(c_0_114,plain,
    ! [X35,X36] :
      ( ~ aInteger0(X35)
      | ~ aInteger0(X36)
      | sdtasdt0(X35,X36) = sdtasdt0(X36,X35) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).

cnf(c_0_115,negated_conjecture,
    sdtpldt0(smndt0(xb),smndt0(sdtasdt0(xq,esk1_0))) = smndt0(xa),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_25]),c_0_39])]) ).

cnf(c_0_116,negated_conjecture,
    smndt0(smndt0(xb)) = xb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_25]),c_0_26])]) ).

cnf(c_0_117,negated_conjecture,
    ( sdtpldt0(sz00,smndt0(sdtasdt0(xq,esk1_0))) = sdtpldt0(smndt0(xa),xb)
    | ~ aInteger0(smndt0(sdtasdt0(xq,esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_113]),c_0_21])]) ).

cnf(c_0_118,negated_conjecture,
    ( ~ aInteger0(X1)
    | sdtasdt0(xq,X1) != sdtpldt0(xb,smndt0(xa)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_119,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

cnf(c_0_120,hypothesis,
    aInteger0(xq),
    inference(split_conjunct,[status(thm)],[m__704]) ).

fof(c_0_121,plain,
    ! [X32,X33,X34] :
      ( ~ aInteger0(X32)
      | ~ aInteger0(X33)
      | ~ aInteger0(X34)
      | sdtasdt0(X32,sdtasdt0(X33,X34)) = sdtasdt0(sdtasdt0(X32,X33),X34) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).

cnf(c_0_122,negated_conjecture,
    ( sdtpldt0(sz00,smndt0(sdtasdt0(xq,esk1_0))) = sdtpldt0(xb,smndt0(xa))
    | ~ aInteger0(smndt0(sdtasdt0(xq,esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_115]),c_0_116]),c_0_93])]) ).

cnf(c_0_123,negated_conjecture,
    sdtpldt0(sz00,smndt0(sdtasdt0(xq,esk1_0))) = sdtpldt0(smndt0(xa),xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_25]),c_0_39])]) ).

cnf(c_0_124,negated_conjecture,
    ( sdtasdt0(X1,xq) != sdtpldt0(xb,smndt0(xa))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120])]) ).

cnf(c_0_125,plain,
    ( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

fof(c_0_126,plain,
    ! [X11,X12,X14,X15] :
      ( ( aInteger0(X12)
        | ~ aDivisorOf0(X12,X11)
        | ~ aInteger0(X11) )
      & ( X12 != sz00
        | ~ aDivisorOf0(X12,X11)
        | ~ aInteger0(X11) )
      & ( aInteger0(esk2_2(X11,X12))
        | ~ aDivisorOf0(X12,X11)
        | ~ aInteger0(X11) )
      & ( sdtasdt0(X12,esk2_2(X11,X12)) = X11
        | ~ aDivisorOf0(X12,X11)
        | ~ aInteger0(X11) )
      & ( ~ aInteger0(X14)
        | X14 = sz00
        | ~ aInteger0(X15)
        | sdtasdt0(X14,X15) != X11
        | aDivisorOf0(X14,X11)
        | ~ aInteger0(X11) ) ),
    inference(distribute,[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)],[mDivisor])])])])])]) ).

cnf(c_0_127,negated_conjecture,
    aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_128,negated_conjecture,
    ( sdtpldt0(smndt0(xa),xb) = sdtpldt0(xb,smndt0(xa))
    | ~ aInteger0(smndt0(sdtasdt0(xq,esk1_0))) ),
    inference(rw,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_129,negated_conjecture,
    ( sdtasdt0(X1,sdtasdt0(X2,xq)) != sdtpldt0(xb,smndt0(xa))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_120])]),c_0_52]) ).

cnf(c_0_130,plain,
    ( sdtasdt0(X1,esk2_2(X2,X1)) = X2
    | ~ aDivisorOf0(X1,X2)
    | ~ aInteger0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_131,negated_conjecture,
    aDivisorOf0(xq,sdtasdt0(xq,esk1_0)),
    inference(rw,[status(thm)],[c_0_127,c_0_20]) ).

cnf(c_0_132,plain,
    ( aInteger0(esk2_2(X1,X2))
    | ~ aDivisorOf0(X2,X1)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_133,negated_conjecture,
    sdtpldt0(smndt0(xa),xb) = sdtpldt0(xb,smndt0(xa)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_25]),c_0_39])]) ).

cnf(c_0_134,negated_conjecture,
    ( sdtasdt0(X1,sdtasdt0(xq,X2)) != sdtpldt0(xb,smndt0(xa))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_119]),c_0_120])]) ).

cnf(c_0_135,negated_conjecture,
    sdtasdt0(xq,esk2_2(sdtasdt0(xq,esk1_0),xq)) = sdtasdt0(xq,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_39])]) ).

cnf(c_0_136,negated_conjecture,
    aInteger0(esk2_2(sdtasdt0(xq,esk1_0),xq)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_131]),c_0_39])]) ).

cnf(c_0_137,negated_conjecture,
    sdtpldt0(sz00,smndt0(sdtasdt0(xq,esk1_0))) = sdtpldt0(xb,smndt0(xa)),
    inference(rw,[status(thm)],[c_0_123,c_0_133]) ).

cnf(c_0_138,negated_conjecture,
    ( sdtasdt0(X1,sdtasdt0(xq,esk1_0)) != sdtpldt0(xb,smndt0(xa))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136])]) ).

cnf(c_0_139,negated_conjecture,
    ( sdtpldt0(xb,smndt0(xa)) = smndt0(sdtasdt0(xq,esk1_0))
    | ~ aInteger0(smndt0(sdtasdt0(xq,esk1_0))) ),
    inference(spm,[status(thm)],[c_0_70,c_0_137]) ).

cnf(c_0_140,negated_conjecture,
    ( sdtpldt0(xb,smndt0(xa)) != smndt0(sdtasdt0(xq,esk1_0))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_60]),c_0_39])]) ).

cnf(c_0_141,negated_conjecture,
    sdtpldt0(xb,smndt0(xa)) = smndt0(sdtasdt0(xq,esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_25]),c_0_39])]) ).

cnf(c_0_142,negated_conjecture,
    ~ aInteger0(smndt0(sz10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141])]) ).

cnf(c_0_143,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_25]),c_0_64])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : NUM424+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 13:49:01 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order model finding
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.o4JQSJ5K1k/E---3.1_17045.p
% 3.13/0.82  # Version: 3.1pre001
% 3.13/0.82  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.13/0.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.13/0.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.13/0.82  # Starting new_bool_3 with 300s (1) cores
% 3.13/0.82  # Starting new_bool_1 with 300s (1) cores
% 3.13/0.82  # Starting sh5l with 300s (1) cores
% 3.13/0.82  # sh5l with pid 17126 completed with status 0
% 3.13/0.82  # Result found by sh5l
% 3.13/0.82  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.13/0.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.13/0.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.13/0.82  # Starting new_bool_3 with 300s (1) cores
% 3.13/0.82  # Starting new_bool_1 with 300s (1) cores
% 3.13/0.82  # Starting sh5l with 300s (1) cores
% 3.13/0.82  # SinE strategy is gf500_gu_R04_F100_L20000
% 3.13/0.82  # Search class: FGHSF-FFMM21-SFFFFFNN
% 3.13/0.82  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 3.13/0.82  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 3.13/0.82  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 17129 completed with status 0
% 3.13/0.82  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 3.13/0.82  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.13/0.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.13/0.82  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.13/0.82  # Starting new_bool_3 with 300s (1) cores
% 3.13/0.82  # Starting new_bool_1 with 300s (1) cores
% 3.13/0.82  # Starting sh5l with 300s (1) cores
% 3.13/0.82  # SinE strategy is gf500_gu_R04_F100_L20000
% 3.13/0.82  # Search class: FGHSF-FFMM21-SFFFFFNN
% 3.13/0.82  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 3.13/0.82  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 3.13/0.82  # Preprocessing time       : 0.001 s
% 3.13/0.82  # Presaturation interreduction done
% 3.13/0.82  
% 3.13/0.82  # Proof found!
% 3.13/0.82  # SZS status Theorem
% 3.13/0.82  # SZS output start CNFRefutation
% See solution above
% 3.13/0.82  # Parsed axioms                        : 22
% 3.13/0.82  # Removed by relevancy pruning/SinE    : 0
% 3.13/0.82  # Initial clauses                      : 42
% 3.13/0.82  # Removed in clause preprocessing      : 1
% 3.13/0.82  # Initial clauses in saturation        : 41
% 3.13/0.82  # Processed clauses                    : 2637
% 3.13/0.82  # ...of these trivial                  : 163
% 3.13/0.82  # ...subsumed                          : 1378
% 3.13/0.82  # ...remaining for further processing  : 1096
% 3.13/0.82  # Other redundant clauses eliminated   : 3
% 3.13/0.82  # Clauses deleted for lack of memory   : 0
% 3.13/0.82  # Backward-subsumed                    : 48
% 3.13/0.82  # Backward-rewritten                   : 511
% 3.13/0.82  # Generated clauses                    : 20667
% 3.13/0.82  # ...of the previous two non-redundant : 18578
% 3.13/0.82  # ...aggressively subsumed             : 0
% 3.13/0.82  # Contextual simplify-reflections      : 93
% 3.13/0.82  # Paramodulations                      : 20664
% 3.13/0.82  # Factorizations                       : 0
% 3.13/0.82  # NegExts                              : 0
% 3.13/0.82  # Equation resolutions                 : 3
% 3.13/0.82  # Total rewrite steps                  : 29509
% 3.13/0.82  # Propositional unsat checks           : 0
% 3.13/0.82  #    Propositional check models        : 0
% 3.13/0.82  #    Propositional check unsatisfiable : 0
% 3.13/0.82  #    Propositional clauses             : 0
% 3.13/0.82  #    Propositional clauses after purity: 0
% 3.13/0.82  #    Propositional unsat core size     : 0
% 3.13/0.82  #    Propositional preprocessing time  : 0.000
% 3.13/0.82  #    Propositional encoding time       : 0.000
% 3.13/0.82  #    Propositional solver time         : 0.000
% 3.13/0.82  #    Success case prop preproc time    : 0.000
% 3.13/0.82  #    Success case prop encoding time   : 0.000
% 3.13/0.82  #    Success case prop solver time     : 0.000
% 3.13/0.82  # Current number of processed clauses  : 494
% 3.13/0.82  #    Positive orientable unit clauses  : 253
% 3.13/0.82  #    Positive unorientable unit clauses: 0
% 3.13/0.82  #    Negative unit clauses             : 5
% 3.13/0.82  #    Non-unit-clauses                  : 236
% 3.13/0.82  # Current number of unprocessed clauses: 15788
% 3.13/0.82  # ...number of literals in the above   : 63845
% 3.13/0.82  # Current number of archived formulas  : 0
% 3.13/0.82  # Current number of archived clauses   : 600
% 3.13/0.82  # Clause-clause subsumption calls (NU) : 40212
% 3.13/0.82  # Rec. Clause-clause subsumption calls : 18830
% 3.13/0.82  # Non-unit clause-clause subsumptions  : 1126
% 3.13/0.82  # Unit Clause-clause subsumption calls : 2565
% 3.13/0.82  # Rewrite failures with RHS unbound    : 0
% 3.13/0.82  # BW rewrite match attempts            : 764
% 3.13/0.82  # BW rewrite match successes           : 152
% 3.13/0.82  # Condensation attempts                : 0
% 3.13/0.82  # Condensation successes               : 0
% 3.13/0.82  # Termbank termtop insertions          : 417676
% 3.13/0.82  
% 3.13/0.82  # -------------------------------------------------
% 3.13/0.82  # User time                : 0.356 s
% 3.13/0.82  # System time              : 0.014 s
% 3.13/0.82  # Total time               : 0.370 s
% 3.13/0.82  # Maximum resident set size: 1844 pages
% 3.13/0.82  
% 3.13/0.82  # -------------------------------------------------
% 3.13/0.82  # User time                : 0.359 s
% 3.13/0.82  # System time              : 0.014 s
% 3.13/0.82  # Total time               : 0.373 s
% 3.13/0.82  # Maximum resident set size: 1728 pages
% 3.13/0.82  % E---3.1 exiting
%------------------------------------------------------------------------------