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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM436+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:49:05 PM UTC 2026

% Result   : Theorem 0.24s 5.63s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   63 (  16 unt;   0 def)
%            Number of atoms       :  244 (  47 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  294 ( 113   ~; 102   |;  58   &)
%                                         (   4 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    3 (   1 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   :   87 (   0 sgn  54   !;   2   ?)

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

fof(m__979,hypothesis,
    ( xq != sz00
    & aInteger0(xq)
    & xp != sz00
    & aInteger0(xp)
    & aInteger0(xb)
    & aInteger0(xa) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__979) ).

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/sandbox/benchmark/theBenchmark.p',mEquMod) ).

fof(m__1071,hypothesis,
    ( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm))
    & sdtasdt0(xp,sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xb)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1071) ).

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

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

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

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/sandbox/benchmark/theBenchmark.p',mEquModSym) ).

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

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

fof(m__1032,hypothesis,
    ( sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb))
    & aInteger0(xm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1032) ).

fof(m__,conjecture,
    ( sdteqdtlpzmzozddtrp0(xa,xb,xq)
    & sdteqdtlpzmzozddtrp0(xa,xb,xp) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(c_0_12,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_13,hypothesis,
    ( xq != sz00
    & aInteger0(xq)
    & xp != sz00
    & aInteger0(xp)
    & aInteger0(xb)
    & aInteger0(xa) ),
    inference(fof_simplification,[status(thm)],[m__979]) ).

fof(c_0_14,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_15,plain,
    ! [X31,X32,X34,X35] :
      ( ( ~ aInteger0(X31)
        | aDivisorOf0(X34,X31)
        | sdtasdt0(X34,X35) != X31
        | ~ aInteger0(X35)
        | X34 = sz00
        | ~ aInteger0(X34) )
      & ( ~ aInteger0(X31)
        | ~ aDivisorOf0(X32,X31)
        | sdtasdt0(X32,esk1_2(X31,X32)) = X31 )
      & ( ~ aInteger0(X31)
        | ~ aDivisorOf0(X32,X31)
        | aInteger0(esk1_2(X31,X32)) )
      & ( ~ aInteger0(X31)
        | ~ aDivisorOf0(X32,X31)
        | X32 != sz00 )
      & ( ~ aInteger0(X31)
        | ~ aDivisorOf0(X32,X31)
        | aInteger0(X32) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])])])]) ).

cnf(c_0_16,hypothesis,
    sdtasdt0(xp,sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xb)),
    inference(split_conjunct,[status(thm)],[m__1071]) ).

cnf(c_0_17,hypothesis,
    sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
    inference(split_conjunct,[status(thm)],[m__1071]) ).

fof(c_0_18,hypothesis,
    ( xq != sz00
    & aInteger0(xq)
    & xp != sz00
    & aInteger0(xp)
    & aInteger0(xb)
    & aInteger0(xa) ),
    inference(fof_nnf,[status(thm)],[c_0_13]) ).

fof(c_0_19,plain,
    ! [X36,X37,X38] :
      ( ( X38 = sz00
        | ~ aInteger0(X38)
        | ~ aInteger0(X37)
        | ~ aInteger0(X36)
        | sdteqdtlpzmzozddtrp0(X36,X37,X38)
        | ~ aDivisorOf0(X38,sdtpldt0(X36,smndt0(X37))) )
      & ( X38 = sz00
        | ~ aInteger0(X38)
        | ~ aInteger0(X37)
        | ~ aInteger0(X36)
        | aDivisorOf0(X38,sdtpldt0(X36,smndt0(X37)))
        | ~ sdteqdtlpzmzozddtrp0(X36,X37,X38) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).

cnf(c_0_20,plain,
    ( ~ aInteger0(X3)
    | sdtasdt0(X1,X2) != X3
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | aDivisorOf0(X1,X3)
    | X1 = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,hypothesis,
    sdtasdt0(xq,sdtasdt0(xp,xm)) = sdtasdt0(xp,sdtasdt0(xq,xm)),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,hypothesis,
    aInteger0(xq),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,hypothesis,
    xq != sz00,
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,plain,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X3)))
    | X1 = sz00
    | sdteqdtlpzmzozddtrp0(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,hypothesis,
    ( ~ aInteger0(X1)
    | ~ aInteger0(sdtasdt0(xp,xm))
    | sdtasdt0(xp,sdtasdt0(xq,xm)) != X1
    | aDivisorOf0(xq,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),c_0_23]) ).

fof(c_0_26,plain,
    ! [X7,X8] :
      ( aInteger0(sdtpldt0(X7,X8))
      | ~ aInteger0(X8)
      | ~ aInteger0(X7) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])])]) ).

fof(c_0_27,plain,
    ! [X6] :
      ( aInteger0(smndt0(X6))
      | ~ aInteger0(X6) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])])]) ).

fof(c_0_28,plain,
    ! [X1,X2,X3,X4] :
      ( ( aInteger0(X4)
        & X3 != sz00
        & aInteger0(X3)
        & aInteger0(X2)
        & aInteger0(X1) )
     => ( ( sdteqdtlpzmzozddtrp0(X2,X4,X3)
          & sdteqdtlpzmzozddtrp0(X1,X2,X3) )
       => sdteqdtlpzmzozddtrp0(X1,X4,X3) ) ),
    inference(fof_simplification,[status(thm)],[mEquModTrn]) ).

cnf(c_0_29,hypothesis,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(sdtpldt0(X1,smndt0(X2)))
    | ~ aInteger0(sdtasdt0(xp,xm))
    | sdtpldt0(X1,smndt0(X2)) != sdtasdt0(xp,sdtasdt0(xq,xm))
    | sdteqdtlpzmzozddtrp0(X1,X2,xq) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_22])]),c_0_23]) ).

cnf(c_0_30,plain,
    ( ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | aInteger0(sdtpldt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,plain,
    ( ~ aInteger0(X1)
    | aInteger0(smndt0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_32,plain,
    ! [X1,X2,X3] :
      ( ( X3 != sz00
        & aInteger0(X3)
        & aInteger0(X2)
        & aInteger0(X1) )
     => ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
       => sdteqdtlpzmzozddtrp0(X2,X1,X3) ) ),
    inference(fof_simplification,[status(thm)],[mEquModSym]) ).

fof(c_0_33,plain,
    ! [X44,X45,X46,X47] :
      ( sdteqdtlpzmzozddtrp0(X44,X47,X46)
      | ~ sdteqdtlpzmzozddtrp0(X45,X47,X46)
      | ~ sdteqdtlpzmzozddtrp0(X44,X45,X46)
      | ~ aInteger0(X47)
      | X46 = sz00
      | ~ aInteger0(X46)
      | ~ aInteger0(X45)
      | ~ aInteger0(X44) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).

cnf(c_0_34,hypothesis,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(sdtasdt0(xp,xm))
    | sdtpldt0(X1,smndt0(X2)) != sdtasdt0(xp,sdtasdt0(xq,xm))
    | sdteqdtlpzmzozddtrp0(X1,X2,xq) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_35,hypothesis,
    sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,sdtasdt0(xq,xm)),
    inference(rw,[status(thm)],[c_0_17,c_0_21]) ).

cnf(c_0_36,hypothesis,
    aInteger0(xb),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_37,hypothesis,
    aInteger0(xa),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_38,plain,
    ! [X41,X42,X43] :
      ( sdteqdtlpzmzozddtrp0(X42,X41,X43)
      | ~ sdteqdtlpzmzozddtrp0(X41,X42,X43)
      | X43 = sz00
      | ~ aInteger0(X43)
      | ~ aInteger0(X42)
      | ~ aInteger0(X41) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).

cnf(c_0_39,plain,
    ( ~ sdteqdtlpzmzozddtrp0(X2,X4,X3)
    | ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
    | ~ aInteger0(X4)
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sdteqdtlpzmzozddtrp0(X1,X4,X3)
    | X3 = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_40,hypothesis,
    ( ~ aInteger0(sdtasdt0(xp,xm))
    | sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37])]) ).

cnf(c_0_41,plain,
    ( ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sdteqdtlpzmzozddtrp0(X2,X1,X3)
    | X3 = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_42,hypothesis,
    ( ~ aInteger0(X1)
    | ~ aInteger0(sdtasdt0(xp,xm))
    | ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
    | sdteqdtlpzmzozddtrp0(X1,xb,xq) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_36]),c_0_22]),c_0_37])]),c_0_23]) ).

fof(c_0_43,plain,
    ! [X9,X10] :
      ( aInteger0(sdtasdt0(X9,X10))
      | ~ aInteger0(X10)
      | ~ aInteger0(X9) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])])]) ).

fof(c_0_44,plain,
    ! [X1,X2] :
      ( ( X2 != sz00
        & aInteger0(X2)
        & aInteger0(X1) )
     => sdteqdtlpzmzozddtrp0(X1,X1,X2) ),
    inference(fof_simplification,[status(thm)],[mEquModRef]) ).

cnf(c_0_45,hypothesis,
    ( ~ aInteger0(X1)
    | ~ aInteger0(sdtasdt0(xp,xm))
    | ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
    | sdteqdtlpzmzozddtrp0(xb,X1,xq) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_22]),c_0_36])]),c_0_23]) ).

cnf(c_0_46,plain,
    ( ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | aInteger0(sdtasdt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_47,hypothesis,
    aInteger0(xm),
    inference(split_conjunct,[status(thm)],[m__1032]) ).

cnf(c_0_48,hypothesis,
    aInteger0(xp),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_49,plain,
    ! [X39,X40] :
      ( sdteqdtlpzmzozddtrp0(X39,X39,X40)
      | X40 = sz00
      | ~ aInteger0(X40)
      | ~ aInteger0(X39) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).

fof(c_0_50,negated_conjecture,
    ~ ( sdteqdtlpzmzozddtrp0(xa,xb,xq)
      & sdteqdtlpzmzozddtrp0(xa,xb,xp) ),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_51,hypothesis,
    ( ~ aInteger0(X1)
    | ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
    | sdteqdtlpzmzozddtrp0(xb,X1,xq) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48])]) ).

cnf(c_0_52,plain,
    ( ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sdteqdtlpzmzozddtrp0(X1,X1,X2)
    | X2 = sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

fof(c_0_53,negated_conjecture,
    ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xq)
    | ~ sdteqdtlpzmzozddtrp0(xa,xb,xp) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])]) ).

cnf(c_0_54,hypothesis,
    sdteqdtlpzmzozddtrp0(xb,xa,xq),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_37]),c_0_22])]),c_0_23]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xq)
    | ~ sdteqdtlpzmzozddtrp0(xa,xb,xp) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_56,hypothesis,
    sdteqdtlpzmzozddtrp0(xa,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_41,c_0_54]),c_0_22]),c_0_37]),c_0_36])]),c_0_23]) ).

cnf(c_0_57,hypothesis,
    ( ~ aInteger0(X1)
    | ~ aDivisorOf0(X1,sdtasdt0(xp,sdtasdt0(xq,xm)))
    | sdteqdtlpzmzozddtrp0(xa,xb,X1)
    | X1 = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_35]),c_0_36]),c_0_37])]) ).

cnf(c_0_58,plain,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | aDivisorOf0(X1,sdtasdt0(X1,X2))
    | X1 = sz00 ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_46]) ).

cnf(c_0_59,hypothesis,
    xp != sz00,
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_60,negated_conjecture,
    ~ sdteqdtlpzmzozddtrp0(xa,xb,xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]) ).

cnf(c_0_61,hypothesis,
    ~ aInteger0(sdtasdt0(xq,xm)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_48])]),c_0_59]),c_0_60]) ).

cnf(c_0_62,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_46]),c_0_47]),c_0_22])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : NUM436+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/5.47  % Computer : n001.cluster.edu
% 0.20/5.47  % Model    : x86_64 x86_64
% 0.20/5.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/5.47  % Memory   : 8046.5625MB
% 0.20/5.47  % OS       : Linux 6.8.0-71-generic
% 0.20/5.47  % CPULimit : 300
% 0.20/5.47  % WCLimit  : 300
% 0.20/5.47  % DateTime : Mon Sep 21 02:34:49 UTC 2026
% 0.20/5.47  % CPUTime  : 
% 0.20/5.47  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/5.54  Running first-order theorem proving
% 0.24/5.54  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.24/5.63  % Version: 3.5.1
% 0.24/5.63  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/5.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/5.63  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/5.63  % Starting new_bool_3 with 300s (1) cores
% 0.24/5.63  % Starting new_bool_1 with 300s (1) cores
% 0.24/5.63  % Starting sh5l with 300s (1) cores
% 0.24/5.63  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2001459 completed with status 0
% 0.24/5.63  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.24/5.63  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/5.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/5.63  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/5.63  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/5.63  % No SInE strategy applied
% 0.24/5.63  % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.24/5.63  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/5.63  % Starting SubtermCWHack with 136s (1) cores
% 0.24/5.63  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/5.63  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.24/5.63  % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.24/5.63  % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 0.24/5.63  % G-E--_208_C18_F1_AE_CS_SP_PS_S3S with pid 2001468 completed with status 0
% 0.24/5.63  % Result found by G-E--_208_C18_F1_AE_CS_SP_PS_S3S
% 0.24/5.63  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/5.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/5.63  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/5.63  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/5.63  % No SInE strategy applied
% 0.24/5.63  % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.24/5.63  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/5.63  % Starting SubtermCWHack with 136s (1) cores
% 0.24/5.63  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/5.63  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.24/5.63  % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.24/5.63  % Preprocessing time       : 0.003 s
% 0.24/5.63  % Presaturation interreduction done
% 0.24/5.63  
% 0.24/5.63  % Proof found!
% 0.24/5.63  % SZS status Theorem
% 0.24/5.63  % SZS output start CNFRefutation
% See solution above
% 0.24/5.63  % Parsed axioms                        : 27
% 0.24/5.63  % Removed by relevancy pruning/SinE    : 0
% 0.24/5.63  % Initial clauses                      : 45
% 0.24/5.63  % Removed in clause preprocessing      : 1
% 0.24/5.63  % Initial clauses in saturation        : 44
% 0.24/5.63  % Processed clauses                    : 437
% 0.24/5.63  % ...of these trivial                  : 8
% 0.24/5.63  % ...subsumed                          : 186
% 0.24/5.63  % ...remaining for further processing  : 243
% 0.24/5.63  % Other redundant clauses eliminated   : 8
% 0.24/5.63  % Clauses deleted for lack of memory   : 0
% 0.24/5.63  % Backward-subsumed                    : 29
% 0.24/5.63  % Backward-rewritten                   : 3
% 0.24/5.63  % Generated clauses                    : 908
% 0.24/5.63  % ...of the previous two non-redundant : 711
% 0.24/5.63  % ...aggressively subsumed             : 0
% 0.24/5.63  % Contextual simplify-reflections      : 16
% 0.24/5.63  % Paramodulations                      : 892
% 0.24/5.63  % Factorizations                       : 0
% 0.24/5.63  % NegExts                              : 0
% 0.24/5.63  % Equation resolutions                 : 16
% 0.24/5.63  % Disequality decompositions           : 0
% 0.24/5.63  % Total rewrite steps                  : 1129
% 0.24/5.63  % ...of those cached                   : 1105
% 0.24/5.63  % Propositional unsat checks           : 0
% 0.24/5.63  %    Propositional check models        : 0
% 0.24/5.63  %    Propositional check unsatisfiable : 0
% 0.24/5.63  %    Propositional clauses             : 0
% 0.24/5.63  %    Propositional clauses after purity: 0
% 0.24/5.63  %    Propositional unsat core size     : 0
% 0.24/5.63  %    Propositional preprocessing time  : 0.000
% 0.24/5.63  %    Propositional encoding time       : 0.000
% 0.24/5.63  %    Propositional solver time         : 0.000
% 0.24/5.63  %    Success case prop preproc time    : 0.000
% 0.24/5.63  %    Success case prop encoding time   : 0.000
% 0.24/5.63  %    Success case prop solver time     : 0.000
% 0.24/5.63  % Current number of processed clauses  : 167
% 0.24/5.63  %    Positive orientable unit clauses  : 26
% 0.24/5.63  %    Positive unorientable unit clauses: 0
% 0.24/5.63  %    Negative unit clauses             : 4
% 0.24/5.63  %    Non-unit-clauses                  : 137
% 0.24/5.63  % Current number of unprocessed clauses: 353
% 0.24/5.63  % ...number of literals in the above   : 1497
% 0.24/5.63  % Current number of archived formulas  : 0
% 0.24/5.63  % Current number of archived clauses   : 76
% 0.24/5.63  % Clause-clause subsumption calls (NU) : 3340
% 0.24/5.63  % Rec. Clause-clause subsumption calls : 1621
% 0.24/5.63  % Non-unit clause-clause subsumptions  : 194
% 0.24/5.63  % Unit Clause-clause subsumption calls : 115
% 0.24/5.63  % Rewrite failures with RHS unbound    : 0
% 0.24/5.63  % BW rewrite match attempts            : 17
% 0.24/5.63  % BW rewrite match successes           : 9
% 0.24/5.63  % Condensation attempts                : 0
% 0.24/5.63  % Condensation successes               : 0
% 0.24/5.63  % Termbank termtop insertions          : 18508
% 0.24/5.63  % Search garbage collected termcells   : 522
% 0.24/5.63  
% 0.24/5.63  % -------------------------------------------------
% 0.24/5.63  % User time                : 0.049 s
% 0.24/5.63  % System time              : 0.010 s
% 0.24/5.63  % Total time               : 0.059 s
% 0.24/5.63  % Maximum resident set size: 3660 pages
% 0.24/5.63  
% 0.24/5.63  % -------------------------------------------------
% 0.24/5.63  % User time                : 0.189 s
% 0.24/5.63  % System time              : 0.023 s
% 0.24/5.63  % Total time               : 0.212 s
% 0.24/5.63  % Maximum resident set size: 4608 pages
% 0.24/5.63  % E exiting
%------------------------------------------------------------------------------