TSTP Solution File: NUM431+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : NUM431+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 01:26:09 EDT 2024

% Result   : Theorem 1.03s 0.60s
% Output   : CNFRefutation 1.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  131 (  50 unt;   0 def)
%            Number of atoms       :  323 ( 108 equ)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  325 ( 133   ~; 125   |;  49   &)
%                                         (   4 <=>;  14  =>;   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   :  110 (   0 sgn  55   !;   2   ?)

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

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

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

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

fof(m__899,hypothesis,
    ( aInteger0(xm)
    & sdtasdt0(xq,xm) = sdtpldt0(xb,smndt0(xc)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__899) ).

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

fof(m__853,hypothesis,
    ( sdteqdtlpzmzozddtrp0(xa,xb,xq)
    & sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__853) ).

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/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).

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

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

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

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

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/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).

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

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

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

fof(m__876,hypothesis,
    ( aInteger0(xn)
    & sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__876) ).

fof(m__,conjecture,
    sdtasdt0(xq,sdtpldt0(xn,xm)) = sdtpldt0(xa,smndt0(xc)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(c_0_19,hypothesis,
    ( aInteger0(xa)
    & aInteger0(xb)
    & aInteger0(xq)
    & xq != sz00
    & aInteger0(xc) ),
    inference(fof_simplification,[status(thm)],[m__818]) ).

fof(c_0_20,plain,
    ! [X1,X2,X3] :
      ( ( aInteger0(X1)
        & aInteger0(X2)
        & aInteger0(X3)
        & X3 != sz00 )
     => ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
      <=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
    inference(fof_simplification,[status(thm)],[mEquMod]) ).

fof(c_0_21,plain,
    ! [X4,X5] :
      ( ~ aInteger0(X4)
      | ~ aInteger0(X5)
      | aInteger0(sdtpldt0(X4,X5)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])])]) ).

fof(c_0_22,hypothesis,
    ( aInteger0(xa)
    & aInteger0(xb)
    & aInteger0(xq)
    & xq != sz00
    & aInteger0(xc) ),
    inference(fof_nnf,[status(thm)],[c_0_19]) ).

fof(c_0_23,plain,
    ! [X1] :
      ( aInteger0(X1)
     => ! [X2] :
          ( aDivisorOf0(X2,X1)
        <=> ( aInteger0(X2)
            & X2 != sz00
            & ? [X3] :
                ( aInteger0(X3)
                & sdtasdt0(X2,X3) = X1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mDivisor]) ).

fof(c_0_24,plain,
    ! [X16,X17,X18] :
      ( ( ~ sdteqdtlpzmzozddtrp0(X16,X17,X18)
        | aDivisorOf0(X18,sdtpldt0(X16,smndt0(X17)))
        | ~ aInteger0(X16)
        | ~ aInteger0(X17)
        | ~ aInteger0(X18)
        | X18 = sz00 )
      & ( ~ aDivisorOf0(X18,sdtpldt0(X16,smndt0(X17)))
        | sdteqdtlpzmzozddtrp0(X16,X17,X18)
        | ~ aInteger0(X16)
        | ~ aInteger0(X17)
        | ~ aInteger0(X18)
        | X18 = sz00 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).

cnf(c_0_25,plain,
    ( aInteger0(sdtpldt0(X1,X2))
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,hypothesis,
    sdtasdt0(xq,xm) = sdtpldt0(xb,smndt0(xc)),
    inference(split_conjunct,[status(thm)],[m__899]) ).

cnf(c_0_27,hypothesis,
    aInteger0(xb),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_28,plain,
    ! [X19] :
      ( ~ aInteger0(X19)
      | aInteger0(smndt0(X19)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])])]) ).

fof(c_0_29,plain,
    ! [X33,X34,X36,X37] :
      ( ( aInteger0(X34)
        | ~ aDivisorOf0(X34,X33)
        | ~ aInteger0(X33) )
      & ( X34 != sz00
        | ~ aDivisorOf0(X34,X33)
        | ~ aInteger0(X33) )
      & ( aInteger0(esk1_2(X33,X34))
        | ~ aDivisorOf0(X34,X33)
        | ~ aInteger0(X33) )
      & ( sdtasdt0(X34,esk1_2(X33,X34)) = X33
        | ~ aDivisorOf0(X34,X33)
        | ~ aInteger0(X33) )
      & ( ~ aInteger0(X36)
        | X36 = sz00
        | ~ aInteger0(X37)
        | sdtasdt0(X36,X37) != X33
        | aDivisorOf0(X36,X33)
        | ~ aInteger0(X33) ) ),
    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_23])])])])])])]) ).

cnf(c_0_30,plain,
    ( aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2)))
    | X3 = sz00
    | ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_31,hypothesis,
    sdteqdtlpzmzozddtrp0(xb,xc,xq),
    inference(split_conjunct,[status(thm)],[m__853]) ).

cnf(c_0_32,hypothesis,
    aInteger0(xq),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33,hypothesis,
    aInteger0(xc),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_34,hypothesis,
    xq != sz00,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_35,hypothesis,
    ( aInteger0(sdtasdt0(xq,xm))
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).

cnf(c_0_36,plain,
    ( aInteger0(smndt0(X1))
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_37,plain,
    ! [X23,X24,X25] :
      ( ~ aInteger0(X23)
      | ~ aInteger0(X24)
      | ~ aInteger0(X25)
      | sdtasdt0(X23,sdtasdt0(X24,X25)) = sdtasdt0(sdtasdt0(X23,X24),X25) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])])]) ).

cnf(c_0_38,plain,
    ( sdtasdt0(X1,esk1_2(X2,X1)) = X2
    | ~ aDivisorOf0(X1,X2)
    | ~ aInteger0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_39,hypothesis,
    aDivisorOf0(xq,sdtasdt0(xq,xm)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_26]),c_0_32]),c_0_33]),c_0_27])]),c_0_34]) ).

cnf(c_0_40,hypothesis,
    aInteger0(sdtasdt0(xq,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_33])]) ).

cnf(c_0_41,plain,
    ( aInteger0(esk1_2(X1,X2))
    | ~ aDivisorOf0(X2,X1)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_42,plain,
    ( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_43,hypothesis,
    sdtasdt0(xq,esk1_2(sdtasdt0(xq,xm),xq)) = sdtasdt0(xq,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).

cnf(c_0_44,hypothesis,
    aInteger0(esk1_2(sdtasdt0(xq,xm),xq)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_39]),c_0_40])]) ).

fof(c_0_45,plain,
    ! [X20] :
      ( ( sdtasdt0(smndt0(sz10),X20) = smndt0(X20)
        | ~ aInteger0(X20) )
      & ( smndt0(X20) = sdtasdt0(X20,smndt0(sz10))
        | ~ aInteger0(X20) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])])]) ).

cnf(c_0_46,hypothesis,
    ( sdtasdt0(xq,sdtasdt0(esk1_2(sdtasdt0(xq,xm),xq),X1)) = sdtasdt0(sdtasdt0(xq,xm),X1)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_32])]),c_0_44])]) ).

cnf(c_0_47,plain,
    ( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_48,plain,
    ! [X21,X22] :
      ( ~ aInteger0(X21)
      | ~ aInteger0(X22)
      | aInteger0(sdtasdt0(X21,X22)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])])]) ).

cnf(c_0_49,hypothesis,
    ( sdtasdt0(xq,smndt0(esk1_2(sdtasdt0(xq,xm),xq))) = sdtasdt0(sdtasdt0(xq,xm),smndt0(sz10))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_44])]) ).

cnf(c_0_50,plain,
    aInteger0(sz10),
    inference(split_conjunct,[status(thm)],[mIntOne]) ).

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

cnf(c_0_52,hypothesis,
    sdtasdt0(xq,smndt0(esk1_2(sdtasdt0(xq,xm),xq))) = sdtasdt0(sdtasdt0(xq,xm),smndt0(sz10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_36]),c_0_50])]) ).

fof(c_0_53,plain,
    ! [X12] :
      ( ( sdtpldt0(X12,smndt0(X12)) = sz00
        | ~ aInteger0(X12) )
      & ( sz00 = sdtpldt0(smndt0(X12),X12)
        | ~ aInteger0(X12) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])])]) ).

fof(c_0_54,plain,
    ! [X6,X7,X8] :
      ( ~ aInteger0(X6)
      | ~ aInteger0(X7)
      | ~ aInteger0(X8)
      | sdtpldt0(X6,sdtpldt0(X7,X8)) = sdtpldt0(sdtpldt0(X6,X7),X8) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])])]) ).

cnf(c_0_55,hypothesis,
    ( aInteger0(sdtasdt0(sdtasdt0(xq,xm),smndt0(sz10)))
    | ~ aInteger0(smndt0(esk1_2(sdtasdt0(xq,xm),xq))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_32])]) ).

cnf(c_0_56,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_57,plain,
    ( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_58,hypothesis,
    aInteger0(sdtasdt0(sdtasdt0(xq,xm),smndt0(sz10))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_36]),c_0_44])]) ).

fof(c_0_59,plain,
    ! [X11] :
      ( ( sdtpldt0(X11,sz00) = X11
        | ~ aInteger0(X11) )
      & ( X11 = sdtpldt0(sz00,X11)
        | ~ aInteger0(X11) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])])]) ).

cnf(c_0_60,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_56,c_0_57]),c_0_25]) ).

cnf(c_0_61,hypothesis,
    aInteger0(smndt0(sdtasdt0(xq,xm))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_47]),c_0_40])]) ).

cnf(c_0_62,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_63,plain,
    ( sz00 = sdtpldt0(smndt0(X1),X1)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_64,plain,
    aInteger0(sz00),
    inference(split_conjunct,[status(thm)],[mIntZero]) ).

cnf(c_0_65,hypothesis,
    ( sdtpldt0(xb,sdtpldt0(smndt0(xc),smndt0(sdtasdt0(xq,xm)))) = sz00
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_26]),c_0_61]),c_0_27])]) ).

cnf(c_0_66,plain,
    ( smndt0(sz00) = sz00
    | ~ aInteger0(smndt0(sz00)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).

cnf(c_0_67,hypothesis,
    sdtpldt0(xb,sdtpldt0(smndt0(xc),smndt0(sdtasdt0(xq,xm)))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_36]),c_0_33])]) ).

cnf(c_0_68,plain,
    smndt0(sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_36]),c_0_64])]) ).

cnf(c_0_69,hypothesis,
    ( sdtpldt0(xb,sdtpldt0(sdtpldt0(smndt0(xc),smndt0(sdtasdt0(xq,xm))),sz00)) = sz00
    | ~ aInteger0(sdtpldt0(smndt0(xc),smndt0(sdtasdt0(xq,xm)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_67]),c_0_68]),c_0_68]),c_0_64]),c_0_27])]) ).

cnf(c_0_70,hypothesis,
    ( sdtpldt0(xb,sdtpldt0(sdtpldt0(smndt0(xc),smndt0(sdtasdt0(xq,xm))),sz00)) = sz00
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_25]),c_0_61])]) ).

cnf(c_0_71,hypothesis,
    sdtpldt0(xb,sdtpldt0(sdtpldt0(smndt0(xc),smndt0(sdtasdt0(xq,xm))),sz00)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_36]),c_0_33])]) ).

cnf(c_0_72,hypothesis,
    ( sdtpldt0(xb,sdtpldt0(smndt0(xc),sdtpldt0(smndt0(sdtasdt0(xq,xm)),sz00))) = sz00
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_57]),c_0_64]),c_0_61])]) ).

fof(c_0_73,plain,
    ! [X9,X10] :
      ( ~ aInteger0(X9)
      | ~ aInteger0(X10)
      | sdtpldt0(X9,X10) = sdtpldt0(X10,X9) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])])]) ).

cnf(c_0_74,hypothesis,
    sdtpldt0(xb,sdtpldt0(smndt0(xc),sdtpldt0(smndt0(sdtasdt0(xq,xm)),sz00))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_36]),c_0_33])]) ).

cnf(c_0_75,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_76,hypothesis,
    sdtpldt0(xb,sdtpldt0(smndt0(xc),sdtpldt0(sz00,smndt0(sdtasdt0(xq,xm))))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_64]),c_0_61])]) ).

cnf(c_0_77,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_75,c_0_57]),c_0_25]) ).

cnf(c_0_78,hypothesis,
    ( sdtpldt0(xb,sdtpldt0(sz00,sdtpldt0(smndt0(sdtasdt0(xq,xm)),smndt0(xc)))) = sz00
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_61]),c_0_64])]) ).

cnf(c_0_79,hypothesis,
    sdtpldt0(xb,sdtpldt0(sz00,sdtpldt0(smndt0(sdtasdt0(xq,xm)),smndt0(xc)))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_36]),c_0_33])]) ).

cnf(c_0_80,hypothesis,
    ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xq,xm)),smndt0(xc)),xb)) = sz00
    | ~ aInteger0(sdtpldt0(smndt0(sdtasdt0(xq,xm)),smndt0(xc))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_79]),c_0_27]),c_0_64])]) ).

cnf(c_0_81,plain,
    ( X1 = sdtpldt0(sz00,X1)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_82,hypothesis,
    ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xq,xm)),smndt0(xc)),xb)) = sz00
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_25]),c_0_61])]) ).

cnf(c_0_83,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_63]),c_0_36]) ).

cnf(c_0_84,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_57,c_0_81]),c_0_64])]) ).

cnf(c_0_85,hypothesis,
    sdtpldt0(sz00,sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xq,xm)),smndt0(xc)),xb)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_36]),c_0_33])]) ).

cnf(c_0_86,hypothesis,
    ( sdtpldt0(smndt0(xb),sdtasdt0(xq,xm)) = sdtpldt0(sz00,smndt0(xc))
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_26]),c_0_27])]) ).

cnf(c_0_87,hypothesis,
    ( sdtpldt0(sz00,sdtasdt0(xq,xm)) = sdtasdt0(xq,xm)
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_26]),c_0_27])]) ).

cnf(c_0_88,hypothesis,
    ( sdtpldt0(sz00,sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtpldt0(smndt0(xc),xb))) = sz00
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_57]),c_0_27]),c_0_61])]) ).

cnf(c_0_89,plain,
    ( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_56]),c_0_36]) ).

cnf(c_0_90,hypothesis,
    sdtpldt0(smndt0(xb),sdtasdt0(xq,xm)) = sdtpldt0(sz00,smndt0(xc)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_36]),c_0_33])]) ).

cnf(c_0_91,hypothesis,
    sdtpldt0(sz00,sdtasdt0(xq,xm)) = sdtasdt0(xq,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_36]),c_0_33])]) ).

cnf(c_0_92,hypothesis,
    sdtpldt0(sz00,sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtpldt0(smndt0(xc),xb))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_36]),c_0_33])]) ).

cnf(c_0_93,hypothesis,
    sdtpldt0(xb,sdtpldt0(sz00,smndt0(xc))) = sdtasdt0(xq,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_40]),c_0_27])]) ).

cnf(c_0_94,hypothesis,
    ( sdtpldt0(sz00,sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtasdt0(xq,xm))) = sz00
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_75]),c_0_26]),c_0_27])]) ).

cnf(c_0_95,hypothesis,
    ( sdtpldt0(sz00,sdtpldt0(smndt0(xc),xb)) = sdtasdt0(xq,xm)
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_93]),c_0_27]),c_0_64])]) ).

cnf(c_0_96,hypothesis,
    sdtpldt0(sz00,sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtasdt0(xq,xm))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_36]),c_0_33])]) ).

cnf(c_0_97,hypothesis,
    sdtpldt0(sz00,sdtpldt0(smndt0(xc),xb)) = sdtasdt0(xq,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_36]),c_0_33])]) ).

cnf(c_0_98,hypothesis,
    ( sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtasdt0(xq,xm)) = sz00
    | ~ aInteger0(sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtasdt0(xq,xm))) ),
    inference(spm,[status(thm)],[c_0_81,c_0_96]) ).

cnf(c_0_99,hypothesis,
    ( sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,xm)
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_97]),c_0_27])]) ).

cnf(c_0_100,hypothesis,
    sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtasdt0(xq,xm)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_25]),c_0_40]),c_0_61])]) ).

cnf(c_0_101,hypothesis,
    sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_36]),c_0_33])]) ).

cnf(c_0_102,plain,
    ( aInteger0(sdtpldt0(X1,sdtpldt0(X2,X3)))
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_57]),c_0_25]) ).

cnf(c_0_103,hypothesis,
    sdtpldt0(sdtasdt0(xq,xm),sz00) = sdtasdt0(xq,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_100]),c_0_91]),c_0_40])]) ).

cnf(c_0_104,hypothesis,
    sdtpldt0(xc,sdtasdt0(xq,xm)) = sdtpldt0(sz00,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_101]),c_0_27]),c_0_33])]) ).

cnf(c_0_105,hypothesis,
    ( aInteger0(sdtpldt0(X1,sdtasdt0(xq,xm)))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_64]),c_0_40])]) ).

fof(c_0_106,plain,
    ! [X13,X14,X15] :
      ( ( sdtasdt0(X13,sdtpldt0(X14,X15)) = sdtpldt0(sdtasdt0(X13,X14),sdtasdt0(X13,X15))
        | ~ aInteger0(X13)
        | ~ aInteger0(X14)
        | ~ aInteger0(X15) )
      & ( sdtasdt0(sdtpldt0(X13,X14),X15) = sdtpldt0(sdtasdt0(X13,X15),sdtasdt0(X14,X15))
        | ~ aInteger0(X13)
        | ~ aInteger0(X14)
        | ~ aInteger0(X15) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistrib])])])]) ).

cnf(c_0_107,hypothesis,
    sdtpldt0(smndt0(xc),sdtpldt0(sz00,xb)) = sdtasdt0(xq,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_104]),c_0_91]),c_0_40]),c_0_33])]) ).

cnf(c_0_108,hypothesis,
    aInteger0(sdtpldt0(sz00,xb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_104]),c_0_33])]) ).

cnf(c_0_109,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_106]) ).

cnf(c_0_110,hypothesis,
    sdtpldt0(sz00,sdtpldt0(sz00,xb)) = sdtpldt0(sz00,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_107]),c_0_104]),c_0_108]),c_0_33])]) ).

cnf(c_0_111,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_25,c_0_109]),c_0_51]),c_0_51]) ).

cnf(c_0_112,hypothesis,
    sdtpldt0(sz00,xb) = xb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_81]),c_0_27])]) ).

cnf(c_0_113,hypothesis,
    ( aInteger0(sdtasdt0(X1,xb))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_27]),c_0_64])]) ).

cnf(c_0_114,plain,
    ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_115,hypothesis,
    sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)),
    inference(split_conjunct,[status(thm)],[m__876]) ).

cnf(c_0_116,hypothesis,
    aInteger0(xa),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_117,hypothesis,
    ( aInteger0(smndt0(xb))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_27])]) ).

cnf(c_0_118,hypothesis,
    ( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,xn),X1)
    | ~ aInteger0(smndt0(xb))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_115]),c_0_116])]) ).

cnf(c_0_119,hypothesis,
    aInteger0(smndt0(xb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_36]),c_0_50])]) ).

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

cnf(c_0_121,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_57,c_0_62]),c_0_64])]) ).

cnf(c_0_122,hypothesis,
    sdtpldt0(xa,sdtpldt0(sz00,smndt0(xc))) = sdtpldt0(sdtasdt0(xq,xn),sdtasdt0(xq,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_90]),c_0_40])]) ).

fof(c_0_123,negated_conjecture,
    sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).

cnf(c_0_124,hypothesis,
    ( sdtpldt0(sdtasdt0(xq,xn),sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xc))
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_116])]) ).

fof(c_0_125,negated_conjecture,
    sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
    inference(fof_nnf,[status(thm)],[c_0_123]) ).

cnf(c_0_126,hypothesis,
    sdtpldt0(sdtasdt0(xq,xn),sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xc)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_36]),c_0_33])]) ).

cnf(c_0_127,hypothesis,
    aInteger0(xm),
    inference(split_conjunct,[status(thm)],[m__899]) ).

cnf(c_0_128,hypothesis,
    aInteger0(xn),
    inference(split_conjunct,[status(thm)],[m__876]) ).

cnf(c_0_129,negated_conjecture,
    sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_130,hypothesis,
    $false,
    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_109,c_0_126]),c_0_127]),c_0_128]),c_0_32])]),c_0_129]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NUM431+1 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n010.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 06:00:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order model finding
% 0.21/0.48  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.03/0.60  # Version: 3.1.0
% 1.03/0.60  # Preprocessing class: FSMSSMSMSSSNFFN.
% 1.03/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.03/0.60  # Starting new_bool_3 with 300s (1) cores
% 1.03/0.60  # Starting new_bool_1 with 300s (1) cores
% 1.03/0.60  # Starting sh5l with 300s (1) cores
% 1.03/0.60  # sh5l with pid 27249 completed with status 0
% 1.03/0.60  # Result found by sh5l
% 1.03/0.60  # Preprocessing class: FSMSSMSMSSSNFFN.
% 1.03/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.03/0.60  # Starting new_bool_3 with 300s (1) cores
% 1.03/0.60  # Starting new_bool_1 with 300s (1) cores
% 1.03/0.60  # Starting sh5l with 300s (1) cores
% 1.03/0.60  # SinE strategy is gf500_gu_R04_F100_L20000
% 1.03/0.60  # Search class: FGHSF-FFMM21-SFFFFFNN
% 1.03/0.60  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.03/0.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 1.03/0.60  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 27257 completed with status 0
% 1.03/0.60  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 1.03/0.60  # Preprocessing class: FSMSSMSMSSSNFFN.
% 1.03/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/0.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.03/0.60  # Starting new_bool_3 with 300s (1) cores
% 1.03/0.60  # Starting new_bool_1 with 300s (1) cores
% 1.03/0.60  # Starting sh5l with 300s (1) cores
% 1.03/0.60  # SinE strategy is gf500_gu_R04_F100_L20000
% 1.03/0.60  # Search class: FGHSF-FFMM21-SFFFFFNN
% 1.03/0.60  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.03/0.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 1.03/0.60  # Preprocessing time       : 0.002 s
% 1.03/0.60  # Presaturation interreduction done
% 1.03/0.60  
% 1.03/0.60  # Proof found!
% 1.03/0.60  # SZS status Theorem
% 1.03/0.60  # SZS output start CNFRefutation
% See solution above
% 1.03/0.60  # Parsed axioms                        : 26
% 1.03/0.60  # Removed by relevancy pruning/SinE    : 0
% 1.03/0.60  # Initial clauses                      : 44
% 1.03/0.60  # Removed in clause preprocessing      : 1
% 1.03/0.60  # Initial clauses in saturation        : 43
% 1.03/0.60  # Processed clauses                    : 840
% 1.03/0.60  # ...of these trivial                  : 66
% 1.03/0.60  # ...subsumed                          : 267
% 1.03/0.60  # ...remaining for further processing  : 507
% 1.03/0.60  # Other redundant clauses eliminated   : 2
% 1.03/0.60  # Clauses deleted for lack of memory   : 0
% 1.03/0.60  # Backward-subsumed                    : 10
% 1.03/0.60  # Backward-rewritten                   : 98
% 1.03/0.60  # Generated clauses                    : 5031
% 1.03/0.60  # ...of the previous two non-redundant : 4007
% 1.03/0.60  # ...aggressively subsumed             : 0
% 1.03/0.60  # Contextual simplify-reflections      : 33
% 1.03/0.60  # Paramodulations                      : 5029
% 1.03/0.60  # Factorizations                       : 0
% 1.03/0.60  # NegExts                              : 0
% 1.03/0.60  # Equation resolutions                 : 2
% 1.03/0.60  # Disequality decompositions           : 0
% 1.03/0.60  # Total rewrite steps                  : 7320
% 1.03/0.60  # ...of those cached                   : 7139
% 1.03/0.60  # Propositional unsat checks           : 0
% 1.03/0.60  #    Propositional check models        : 0
% 1.03/0.60  #    Propositional check unsatisfiable : 0
% 1.03/0.60  #    Propositional clauses             : 0
% 1.03/0.60  #    Propositional clauses after purity: 0
% 1.03/0.60  #    Propositional unsat core size     : 0
% 1.03/0.60  #    Propositional preprocessing time  : 0.000
% 1.03/0.60  #    Propositional encoding time       : 0.000
% 1.03/0.60  #    Propositional solver time         : 0.000
% 1.03/0.60  #    Success case prop preproc time    : 0.000
% 1.03/0.60  #    Success case prop encoding time   : 0.000
% 1.03/0.60  #    Success case prop solver time     : 0.000
% 1.03/0.60  # Current number of processed clauses  : 354
% 1.03/0.60  #    Positive orientable unit clauses  : 186
% 1.03/0.60  #    Positive unorientable unit clauses: 0
% 1.03/0.60  #    Negative unit clauses             : 2
% 1.03/0.60  #    Non-unit-clauses                  : 166
% 1.03/0.60  # Current number of unprocessed clauses: 3170
% 1.03/0.60  # ...number of literals in the above   : 11778
% 1.03/0.60  # Current number of archived formulas  : 0
% 1.03/0.60  # Current number of archived clauses   : 151
% 1.03/0.60  # Clause-clause subsumption calls (NU) : 2979
% 1.03/0.60  # Rec. Clause-clause subsumption calls : 2082
% 1.03/0.60  # Non-unit clause-clause subsumptions  : 310
% 1.03/0.60  # Unit Clause-clause subsumption calls : 100
% 1.03/0.60  # Rewrite failures with RHS unbound    : 0
% 1.03/0.60  # BW rewrite match attempts            : 528
% 1.03/0.60  # BW rewrite match successes           : 70
% 1.03/0.60  # Condensation attempts                : 0
% 1.03/0.60  # Condensation successes               : 0
% 1.03/0.60  # Termbank termtop insertions          : 97532
% 1.03/0.60  # Search garbage collected termcells   : 470
% 1.03/0.60  
% 1.03/0.60  # -------------------------------------------------
% 1.03/0.60  # User time                : 0.101 s
% 1.03/0.60  # System time              : 0.006 s
% 1.03/0.60  # Total time               : 0.107 s
% 1.03/0.60  # Maximum resident set size: 1844 pages
% 1.03/0.60  
% 1.03/0.60  # -------------------------------------------------
% 1.03/0.60  # User time                : 0.103 s
% 1.03/0.60  # System time              : 0.008 s
% 1.03/0.60  # Total time               : 0.111 s
% 1.03/0.60  # Maximum resident set size: 1752 pages
% 1.03/0.60  % E---3.1 exiting
%------------------------------------------------------------------------------