TSTP Solution File: ARI629_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ARI629_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n004.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 Aug 22 10:34:09 EDT 2023

% Result   : Theorem 26.85s 10.93s
% Output   : CNFRefutation 26.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  123 (  85 unt;   4 typ;   0 def)
%            Number of atoms       :  166 (  82 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  124 (  77   ~;  40   |;   1   &)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  347 (  67 atm; 145 fun;  96 num;  39 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (   4 usr;   7 con; 0-2 aty)
%            Number of variables   :   39 (;  39   !;   0   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp

%Foreground sorts:

%Background operators:
tff('#skE_1',type,
    '#skE_1': $real ).

tff(x,type,
    x: $real ).

tff('#skE_2',type,
    '#skE_2': $real ).

tff(y,type,
    y: $real ).

%Foreground operators:

tff(f_81,axiom,
    ! [A: $real,B: $real] : ( $product(A,B) = $product(B,A) ),
    file('/export/starexec/sandbox/solver/bin/lemmas/mult_lemmas_real.p',mult_comm) ).

tff(f_83,axiom,
    ! [A: $real,B: $real,C: $real] : ( $product(A,$sum(B,C)) = $sum($product(A,B),$product(A,C)) ),
    file('/export/starexec/sandbox/solver/bin/lemmas/mult_lemmas_real.p',mult_dist) ).

tff(f_31,negated_conjecture,
    ~ $greatereq($product($sum(1,$product(y,y)),x),$sum(1,$product(y,y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion) ).

tff(f_69,axiom,
    ! [X: $real,Y: $real,Z: $real] :
      ( ( Y != 0 )
     => ( ( Z = $quotient(X,Y) )
      <=> ( X = $product(Y,Z) ) ) ),
    file('/export/starexec/sandbox/solver/bin/lemmas/mult_lemmas_real.p',nonzero_eq_divide_eq) ).

tff(f_89,axiom,
    ! [A: $real,B: $real] : ( $uminus($product(A,B)) = $product($uminus(A),B) ),
    file('/export/starexec/sandbox/solver/bin/lemmas/mult_lemmas_real.p',minus_mult_left) ).

tff(f_163,axiom,
    ! [A: $real,B: $real] :
      ( $less(0,A)
     => ( $less(1,$quotient(B,A))
      <=> $less(A,B) ) ),
    file('/export/starexec/sandbox/solver/bin/lemmas/mult_lemmas_real.p',less_divide_eq_1_pos) ).

tff(f_29,hypothesis,
    $greater(x,1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis) ).

tff(f_106,axiom,
    ! [A: $real,B: $real] :
      ( ( $less(0,A)
        & $less(0,B) )
     => $less(0,$product(A,B)) ),
    file('/export/starexec/sandbox/solver/bin/lemmas/mult_lemmas_real.p',mult_nonneg_nonneg) ).

tff(f_97,axiom,
    ! [C: $real,B: $real] :
      ( ( $product(C,B) = C )
    <=> ( ( C = 0 )
        | ( B = 1 ) ) ),
    file('/export/starexec/sandbox/solver/bin/lemmas/mult_lemmas_real.p',mult_cancel_right1) ).

tff(c_26,plain,
    ! [B_22: $real,A_23: $real] : ( $product(B_22,A_23) = $product(A_23,B_22) ),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_92,plain,
    ! [A_27: $real,B_28: $real,C_29: $real] : ( $product(A_27,$sum(B_28,C_29)) = $sum($product(A_27,B_28),$product(A_27,C_29)) ),
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_4,plain,
    ~ $greatereq($product($sum(1,$product(y,y)),x),$sum(1,$product(y,y))),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_81,plain,
    ~ $lesseq($sum(1,$product(y,y)),$product($sum(1,$product(y,y)),x)),
    inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_4]) ).

tff(c_107,plain,
    ~ $lesseq($sum(1,$product(y,y)),$sum($product(1,x),$product(x,$product(y,y)))),
    inference(demodulation,[status(thm),theory(equality)],[c_26,c_92,c_26,c_81]) ).

tff(c_109,plain,
    ~ $lesseq($sum(1,$product(y,y)),$sum(x,$product(x,$product(y,y)))),
    inference(backgroundSimplification,[status(thm),theory('LFA')],[c_107]) ).

tff(c_125,plain,
    $product(y,y) = '#skE_1',
    inference(define,[status(thm),theory(equality)],[c_109]) ).

tff(c_13,plain,
    ! [Y_10: $real,Z_11: $real] :
      ( ( $quotient($product(Y_10,Z_11),Y_10) = Z_11 )
      | ( Y_10 = 0 ) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_214,plain,
    ( ( $quotient('#skE_1',y) = y )
    | ( y = 0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_125,c_13]) ).

tff(c_32319,plain,
    y = 0,
    inference(splitLeft,[status(thm)],[c_214]) ).

tff(c_117,plain,
    $product(y,y) = '#skE_1',
    inference(define,[status(thm),theory(equality)],[c_109]) ).

tff(c_86,plain,
    ! [A_32: $real,B_33: $real,X_110: $real] :
      ( ( $uminus($product(A_32,B_33)) = $product(X_110,B_33) )
      | ( X_110 != $uminus(A_32) ) ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_31747,plain,
    ! [A_14385: $real] :
      ( ( $uminus($product(A_14385,y)) = '#skE_1' )
      | ( y != $uminus(A_14385) ) ),
    inference(superposition,[status(thm),theory(equality)],[c_86,c_125]) ).

tff(c_31790,plain,
    ( ( $uminus('#skE_1') = '#skE_1' )
    | ( $uminus(y) != y ) ),
    inference(superposition,[status(thm),theory(equality)],[c_117,c_31747]) ).

tff(c_31791,plain,
    ( ( $uminus('#skE_1') = '#skE_1' )
    | ( $uminus(y) != y ) ),
    inference(backgroundSimplification,[status(thm),theory('LFA')],[c_31790]) ).

tff(c_31804,plain,
    $uminus(y) != y,
    inference(splitLeft,[status(thm)],[c_31791]) ).

tff(c_32324,plain,
    $uminus(0) != 0,
    inference(demodulation,[status(thm),theory(equality)],[c_32319,c_32319,c_31804]) ).

tff(c_32333,plain,
    $false,
    inference(backgroundSimplification,[status(thm),theory('LFA')],[c_32324]) ).

tff(c_32335,plain,
    y != 0,
    inference(splitRight,[status(thm)],[c_214]) ).

tff(c_111,plain,
    $product(y,y) = '#skE_1',
    inference(define,[status(thm),theory(equality)],[c_109]) ).

tff(c_110,plain,
    ~ $lesseq($sum(1,$product(y,y)),$sum(x,$product(x,$product(y,y)))),
    inference(backgroundSimplification,[status(thm),theory('LFA')],[c_107]) ).

tff(c_114,plain,
    ~ $lesseq($sum(1,'#skE_1'),$sum(x,$product(x,'#skE_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_111,c_111,c_110]) ).

tff(c_122,plain,
    ~ $lesseq($sum(1,'#skE_1'),$sum(x,$product('#skE_1',x))),
    inference(demodulation,[status(thm),theory(equality)],[c_26,c_114]) ).

tff(c_31805,plain,
    $product('#skE_1',x) = '#skE_2',
    inference(define,[status(thm),theory(equality)],[c_122]) ).

tff(c_31904,plain,
    ( ( $quotient('#skE_2','#skE_1') = x )
    | ( '#skE_1' = 0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31805,c_13]) ).

tff(c_32440,plain,
    '#skE_1' = 0,
    inference(splitLeft,[status(thm)],[c_31904]) ).

tff(c_32337,plain,
    $quotient('#skE_1',y) = y,
    inference(splitRight,[status(thm)],[c_214]) ).

tff(c_32443,plain,
    $quotient(0,y) = y,
    inference(demodulation,[status(thm),theory(equality)],[c_32440,c_32337]) ).

tff(c_32444,plain,
    y = 0,
    inference(backgroundSimplification,[status(thm),theory('LFA')],[c_32443]) ).

tff(c_32475,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_32335,c_32444]) ).

tff(c_32482,plain,
    $quotient('#skE_2','#skE_1') = x,
    inference(splitRight,[status(thm)],[c_31904]) ).

tff(c_76,plain,
    ! [B_92: $real,A_91: $real] :
      ( ~ $less(1,$quotient(B_92,A_91))
      | ~ $less(0,A_91)
      | $less(A_91,B_92) ),
    inference(cnfTransformation,[status(thm)],[f_163]) ).

tff(c_78,plain,
    ! [B_95: $real,A_96: $real] :
      ( ~ $less(1,$quotient(B_95,A_96))
      | ~ $less(0,A_96)
      | ~ $lesseq(B_95,A_96) ),
    inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_76]) ).

tff(c_32580,plain,
    ( ~ $less(1,x)
    | ~ $less(0,'#skE_1')
    | ~ $lesseq('#skE_2','#skE_1') ),
    inference(superposition,[status(thm),theory(equality)],[c_32482,c_78]) ).

tff(c_33680,plain,
    ~ $lesseq('#skE_2','#skE_1'),
    inference(splitLeft,[status(thm)],[c_32580]) ).

tff(c_263,plain,
    $product('#skE_1',x) = '#skE_2',
    inference(define,[status(thm),theory(equality)],[c_122]) ).

tff(c_262,plain,
    ~ $lesseq($sum(1,'#skE_1'),$sum(x,$product('#skE_1',x))),
    inference(demodulation,[status(thm),theory(equality)],[c_26,c_114]) ).

tff(c_265,plain,
    ~ $lesseq($sum(1,'#skE_1'),$sum(x,'#skE_2')),
    inference(demodulation,[status(thm),theory(equality)],[c_263,c_262]) ).

tff(c_1,plain,
    $greater(x,1),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_2,plain,
    ~ $lesseq(x,1),
    inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_1]) ).

tff(c_33681,plain,
    $false,
    inference(close,[status(thm),theory('LFA')],[c_33680,c_265,c_2]) ).

tff(c_33682,plain,
    ( ~ $less(0,'#skE_1')
    | ~ $less(1,x) ),
    inference(splitRight,[status(thm)],[c_32580]) ).

tff(c_33685,plain,
    ~ $less(1,x),
    inference(splitLeft,[status(thm)],[c_33682]) ).

tff(c_33686,plain,
    $false,
    inference(close,[status(thm),theory('LFA')],[c_33685,c_2]) ).

tff(c_33687,plain,
    ~ $less(0,'#skE_1'),
    inference(splitRight,[status(thm)],[c_33682]) ).

tff(c_652,plain,
    $product($uminus(y),y) = $uminus('#skE_1'),
    inference(superposition,[status(thm),theory(equality)],[c_125,c_86]) ).

tff(c_5934,plain,
    $product(y,$uminus(y)) = $uminus('#skE_1'),
    inference(superposition,[status(thm),theory(equality)],[c_26,c_652]) ).

tff(c_6154,plain,
    $product($uminus(y),$uminus(y)) = $uminus($uminus('#skE_1')),
    inference(superposition,[status(thm),theory(equality)],[c_5934,c_86]) ).

tff(c_29250,plain,
    $product($uminus(y),$uminus(y)) = '#skE_1',
    inference(backgroundSimplification,[status(thm),theory('LFA')],[c_6154]) ).

tff(c_43,plain,
    ! [A_40: $real,B_41: $real] :
      ( $less(0,$product(A_40,B_41))
      | ~ $less(0,A_40)
      | ~ $less(0,B_41) ),
    inference(cnfTransformation,[status(thm)],[f_106]) ).

tff(c_45,plain,
    ! [A_42: $real,B_43: $real] :
      ( ~ $lesseq($product(A_42,B_43),0)
      | ~ $less(0,A_42)
      | ~ $less(0,B_43) ),
    inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_43]) ).

tff(c_29696,plain,
    ( ~ $lesseq('#skE_1',0)
    | ~ $less(0,$uminus(y)) ),
    inference(superposition,[status(thm),theory(equality)],[c_29250,c_45]) ).

tff(c_31231,plain,
    ~ $less(0,$uminus(y)),
    inference(splitLeft,[status(thm)],[c_29696]) ).

tff(c_272,plain,
    ! [A_199: $real] :
      ( ( $uminus($product(A_199,y)) = '#skE_1' )
      | ( y != $uminus(A_199) ) ),
    inference(superposition,[status(thm),theory(equality)],[c_86,c_125]) ).

tff(c_315,plain,
    ( ( $uminus('#skE_1') = '#skE_1' )
    | ( $uminus(y) != y ) ),
    inference(superposition,[status(thm),theory(equality)],[c_117,c_272]) ).

tff(c_316,plain,
    ( ( $uminus('#skE_1') = '#skE_1' )
    | ( $uminus(y) != y ) ),
    inference(backgroundSimplification,[status(thm),theory('LFA')],[c_315]) ).

tff(c_329,plain,
    $uminus(y) != y,
    inference(splitLeft,[status(thm)],[c_316]) ).

tff(c_234,plain,
    ( ~ $lesseq('#skE_1',0)
    | ~ $less(0,y) ),
    inference(superposition,[status(thm),theory(equality)],[c_125,c_45]) ).

tff(c_269,plain,
    ~ $less(0,y),
    inference(splitLeft,[status(thm)],[c_234]) ).

tff(c_31232,plain,
    $false,
    inference(close,[status(thm),theory('LFA')],[c_31231,c_329,c_269]) ).

tff(c_31233,plain,
    ~ $lesseq('#skE_1',0),
    inference(splitRight,[status(thm)],[c_29696]) ).

tff(c_332,plain,
    $product('#skE_1',x) = '#skE_2',
    inference(define,[status(thm),theory(equality)],[c_122]) ).

tff(c_431,plain,
    ( ( $quotient('#skE_2','#skE_1') = x )
    | ( '#skE_1' = 0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_332,c_13]) ).

tff(c_1572,plain,
    '#skE_1' = 0,
    inference(splitLeft,[status(thm)],[c_431]) ).

tff(c_268,plain,
    $product('#skE_1',x) = '#skE_2',
    inference(define,[status(thm),theory(equality)],[c_122]) ).

tff(c_973,plain,
    ! [A_439: $real] :
      ( ( $uminus($product(A_439,x)) = '#skE_2' )
      | ( '#skE_1' != $uminus(A_439) ) ),
    inference(superposition,[status(thm),theory(equality)],[c_332,c_86]) ).

tff(c_1037,plain,
    ( ( $uminus('#skE_2') = '#skE_2' )
    | ( $uminus('#skE_1') != '#skE_1' ) ),
    inference(superposition,[status(thm),theory(equality)],[c_268,c_973]) ).

tff(c_1038,plain,
    ( ( $uminus('#skE_2') = '#skE_2' )
    | ( $uminus('#skE_1') != '#skE_1' ) ),
    inference(backgroundSimplification,[status(thm),theory('LFA')],[c_1037]) ).

tff(c_1056,plain,
    $uminus('#skE_1') != '#skE_1',
    inference(splitLeft,[status(thm)],[c_1038]) ).

tff(c_1592,plain,
    $uminus(0) != 0,
    inference(demodulation,[status(thm),theory(equality)],[c_1572,c_1572,c_1056]) ).

tff(c_1634,plain,
    $false,
    inference(backgroundSimplification,[status(thm),theory('LFA')],[c_1592]) ).

tff(c_1641,plain,
    $quotient('#skE_2','#skE_1') = x,
    inference(splitRight,[status(thm)],[c_431]) ).

tff(c_1739,plain,
    ( ~ $less(1,x)
    | ~ $less(0,'#skE_1')
    | ~ $lesseq('#skE_2','#skE_1') ),
    inference(superposition,[status(thm),theory(equality)],[c_1641,c_78]) ).

tff(c_1752,plain,
    ~ $lesseq('#skE_2','#skE_1'),
    inference(splitLeft,[status(thm)],[c_1739]) ).

tff(c_1753,plain,
    $false,
    inference(close,[status(thm),theory('LFA')],[c_1752,c_265,c_2]) ).

tff(c_1754,plain,
    ( ~ $less(0,'#skE_1')
    | ~ $less(1,x) ),
    inference(splitRight,[status(thm)],[c_1739]) ).

tff(c_1984,plain,
    ~ $less(1,x),
    inference(splitLeft,[status(thm)],[c_1754]) ).

tff(c_1985,plain,
    $false,
    inference(close,[status(thm),theory('LFA')],[c_1984,c_2]) ).

tff(c_1986,plain,
    ~ $less(0,'#skE_1'),
    inference(splitRight,[status(thm)],[c_1754]) ).

tff(c_451,plain,
    ( ~ $lesseq('#skE_2',0)
    | ~ $less(0,'#skE_1')
    | ~ $less(0,x) ),
    inference(superposition,[status(thm),theory(equality)],[c_332,c_45]) ).

tff(c_845,plain,
    ~ $less(0,x),
    inference(splitLeft,[status(thm)],[c_451]) ).

tff(c_846,plain,
    $false,
    inference(close,[status(thm),theory('LFA')],[c_845,c_2]) ).

tff(c_847,plain,
    ( ~ $less(0,'#skE_1')
    | ~ $lesseq('#skE_2',0) ),
    inference(splitRight,[status(thm)],[c_451]) ).

tff(c_850,plain,
    ~ $lesseq('#skE_2',0),
    inference(splitLeft,[status(thm)],[c_847]) ).

tff(c_1989,plain,
    $false,
    inference(close,[status(thm),theory('LFA')],[c_1986,c_850,c_265,c_2]) ).

tff(c_1990,plain,
    $uminus('#skE_2') = '#skE_2',
    inference(splitRight,[status(thm)],[c_1038]) ).

tff(c_1992,plain,
    $false,
    inference(close,[status(thm),theory('LFA')],[c_1990,c_850]) ).

tff(c_1993,plain,
    ~ $less(0,'#skE_1'),
    inference(splitRight,[status(thm)],[c_847]) ).

tff(c_31740,plain,
    $false,
    inference(close,[status(thm),theory('LFA')],[c_31233,c_1993]) ).

tff(c_31742,plain,
    $uminus(y) = y,
    inference(splitRight,[status(thm)],[c_316]) ).

tff(c_31741,plain,
    $uminus('#skE_1') = '#skE_1',
    inference(splitRight,[status(thm)],[c_316]) ).

tff(c_34,plain,
    ! [C_36: $real,B_37: $real] :
      ( ( $product(C_36,B_37) != C_36 )
      | ( C_36 = 0 )
      | ( B_37 = 1 ) ),
    inference(cnfTransformation,[status(thm)],[f_97]) ).

tff(c_233,plain,
    ( ( '#skE_1' = 0 )
    | ( y = 1 )
    | ( y != '#skE_1' ) ),
    inference(superposition,[status(thm),theory(equality)],[c_125,c_34]) ).

tff(c_260,plain,
    y != '#skE_1',
    inference(splitLeft,[status(thm)],[c_233]) ).

tff(c_31743,plain,
    $false,
    inference(close,[status(thm),theory('LFA')],[c_31742,c_31741,c_260]) ).

tff(c_31744,plain,
    ~ $lesseq('#skE_1',0),
    inference(splitRight,[status(thm)],[c_234]) ).

tff(c_33690,plain,
    $false,
    inference(close,[status(thm),theory('LFA')],[c_33687,c_31744]) ).

tff(c_33691,plain,
    $uminus('#skE_1') = '#skE_1',
    inference(splitRight,[status(thm)],[c_31791]) ).

tff(c_33693,plain,
    $false,
    inference(close,[status(thm),theory('LFA')],[c_33691,c_31744]) ).

tff(c_33695,plain,
    y = '#skE_1',
    inference(splitRight,[status(thm)],[c_233]) ).

tff(c_33694,plain,
    ( ( y = 1 )
    | ( '#skE_1' = 0 ) ),
    inference(splitRight,[status(thm)],[c_233]) ).

tff(c_33702,plain,
    ( ( '#skE_1' = 1 )
    | ( '#skE_1' = 0 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_33695,c_33694]) ).

tff(c_33703,plain,
    '#skE_1' = 0,
    inference(splitLeft,[status(thm)],[c_33702]) ).

tff(c_33730,plain,
    ~ $lesseq($sum(1,0),$sum(x,$product(0,x))),
    inference(demodulation,[status(thm),theory(equality)],[c_33703,c_33703,c_122]) ).

tff(c_33731,plain,
    ~ $lesseq(1,$sum(x,$product(0,x))),
    inference(backgroundSimplification,[status(thm),theory('LFA')],[c_33730]) ).

tff(c_33732,plain,
    $false,
    inference(close,[status(thm),theory('LFA')],[c_33731,c_2]) ).

tff(c_33733,plain,
    '#skE_1' = 1,
    inference(splitRight,[status(thm)],[c_33702]) ).

tff(c_33754,plain,
    ~ $lesseq($sum(1,1),$sum(x,$product(1,x))),
    inference(demodulation,[status(thm),theory(equality)],[c_33733,c_33733,c_122]) ).

tff(c_33755,plain,
    ~ $lesseq(2,$sum(x,x)),
    inference(backgroundSimplification,[status(thm),theory('LFA')],[c_33754]) ).

tff(c_33756,plain,
    $false,
    inference(close,[status(thm),theory('LFA')],[c_33755,c_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI629_1 : TPTP v8.1.2. Released v6.3.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug  4 00:05:41 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 26.85/10.93  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.85/10.95  
% 26.85/10.95  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 26.94/11.00  
% 26.94/11.00  Inference rules
% 26.94/11.00  ----------------------
% 26.94/11.00  #Ref     : 0
% 26.94/11.00  #Sup     : 5417
% 26.94/11.00  #Fact    : 0
% 26.94/11.00  #Define  : 2
% 26.94/11.00  #Split   : 90
% 26.94/11.00  #Chain   : 0
% 26.94/11.00  #Close   : 21
% 26.94/11.00  
% 26.94/11.00  Ordering : LPO
% 26.94/11.00  
% 26.94/11.00  Simplification rules
% 26.94/11.00  ----------------------
% 26.94/11.00  #Subsume      : 1264
% 26.94/11.00  #Demod        : 2718
% 26.94/11.00  #Tautology    : 593
% 26.94/11.00  #SimpNegUnit  : 670
% 26.94/11.00  #BackRed      : 142
% 26.94/11.00  
% 26.94/11.00  #Partial instantiations: 0
% 26.94/11.00  #Strategies tried      : 1
% 26.94/11.00  
% 26.94/11.00  Timing (in seconds)
% 26.94/11.00  ----------------------
% 26.94/11.00  Preprocessing        : 0.69
% 26.94/11.00  Parsing              : 0.32
% 26.94/11.00  CNF conversion       : 0.03
% 26.94/11.00  Main loop            : 9.22
% 26.94/11.00  Inferencing          : 0.76
% 26.94/11.00  Reduction            : 1.57
% 26.94/11.00  Demodulation         : 1.17
% 26.94/11.00  BG Simplification    : 0.36
% 26.94/11.00  Subsumption          : 0.85
% 26.94/11.00  Abstraction          : 0.25
% 26.94/11.00  MUC search           : 3.59
% 26.94/11.00  Cooper               : 0.00
% 26.94/11.00  Total                : 9.99
% 26.94/11.00  Index Insertion      : 0.00
% 26.94/11.00  Index Deletion       : 0.00
% 26.94/11.00  Index Matching       : 0.00
% 26.94/11.00  BG Taut test         : 0.00
%------------------------------------------------------------------------------