TSTP Solution File: ARI688_1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ARI688_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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n016.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 10:34:15 EDT 2023

% Result   : Theorem 2.35s 1.54s
% Output   : CNFRefutation 2.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   8 unt;   3 typ;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number arithmetic     :   38 (   0 atm;  22 fun;  16 num;   0 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (   3 usr;  10 con; 0-2 aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

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

%Foreground sorts:

%Background operators:
tff(b,type,
    b: $int ).

tff(a,type,
    a: $int ).

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

%Foreground operators:

tff(f_33,negated_conjecture,
    $sum($product(8,x),$product($uminus(1),$difference($product(4353078,b),$product(287,a)))) != 0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

tff(f_30,axiom,
    $product(98164184,x) = a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1) ).

tff(f_31,axiom,
    $product(6472,x) = b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq2) ).

tff(c_3,plain,
    $sum($product(8,x),$sum($product(287,a),$product($uminus(4353078),b))) != 0,
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_5,plain,
    $product(8,x) != $sum($product($uminus(287),a),$product(4353078,b)),
    inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_3]) ).

tff(c_7,plain,
    $product(98164184,x) = a,
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_6,plain,
    $product(6472,x) = b,
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_8,plain,
    $false,
    inference(close,[status(thm),theory('LIA')],[c_5,c_7,c_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ARI688_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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug  4 00:37:53 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.35/1.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.35/1.54  
% 2.35/1.54  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.35/1.57  
% 2.35/1.57  Inference rules
% 2.35/1.57  ----------------------
% 2.35/1.57  #Ref     : 0
% 2.35/1.57  #Sup     : 0
% 2.35/1.57  #Fact    : 0
% 2.35/1.57  #Define  : 0
% 2.35/1.57  #Split   : 0
% 2.35/1.57  #Chain   : 0
% 2.35/1.57  #Close   : 1
% 2.35/1.57  
% 2.35/1.57  Ordering : LPO
% 2.35/1.57  
% 2.35/1.57  Simplification rules
% 2.35/1.57  ----------------------
% 2.35/1.57  #Subsume      : 0
% 2.35/1.57  #Demod        : 0
% 2.35/1.57  #Tautology    : 0
% 2.35/1.57  #SimpNegUnit  : 0
% 2.35/1.57  #BackRed      : 0
% 2.35/1.57  
% 2.35/1.57  #Partial instantiations: 0
% 2.35/1.57  #Strategies tried      : 1
% 2.35/1.57  
% 2.35/1.57  Timing (in seconds)
% 2.35/1.57  ----------------------
% 2.35/1.58  Preprocessing        : 0.41
% 2.35/1.58  Parsing              : 0.23
% 2.35/1.58  CNF conversion       : 0.01
% 2.35/1.58  Main loop            : 0.09
% 2.35/1.58  Inferencing          : 0.00
% 2.35/1.58  Reduction            : 0.02
% 2.35/1.58  Demodulation         : 0.01
% 2.35/1.58  BG Simplification    : 0.02
% 2.35/1.58  Subsumption          : 0.02
% 2.35/1.58  Abstraction          : 0.00
% 2.35/1.58  MUC search           : 0.01
% 2.35/1.58  Cooper               : 0.03
% 2.35/1.58  Total                : 0.55
% 2.35/1.58  Index Insertion      : 0.00
% 2.35/1.58  Index Deletion       : 0.00
% 2.35/1.58  Index Matching       : 0.00
% 2.35/1.58  BG Taut test         : 0.00
%------------------------------------------------------------------------------