TSTP Solution File: ARI118_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ARI118_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n012.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 10:33:15 EDT 2023

% Result   : Theorem 2.74s 1.68s
% Output   : CNFRefutation 2.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :    7 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    4 (   2   ~;   1   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   14 (   0 atm;   4 fun;   3 num;   7 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    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (;   5   !;   2   ?;   7   :)

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

%Foreground sorts:

%Background operators:

%Foreground operators:

tff(f_87,axiom,
    ! [C: $int,B: $int] :
      ( ( $product(C,B) = C )
    <=> ( ( C = 0 )
        | ( B = 1 ) ) ),
    file('/export/starexec/sandbox2/solver/bin/lemmas/mult_lemmas.p',mult_cancel_right1) ).

tff(f_30,negated_conjecture,
    ~ ? [Xa: $int,Ya: $int] : ( $product(Xa,Ya) = Xa ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_something_anotherthing_firstthing) ).

tff(c_29,plain,
    ! [C_25: $int] : ( $product(C_25,1) = C_25 ),
    inference(cnfTransformation,[status(thm)],[f_87]) ).

tff(c_42,plain,
    ! [X_34a: $int,Y_35a: $int] : ( $product(X_34a,Y_35a) != X_34a ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_76,plain,
    $false,
    inference(superposition,[status(thm),theory(equality)],[c_29,c_42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ARI118_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14  % 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 : n012.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 00:07:52 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.74/1.68  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.74/1.68  
% 2.74/1.68  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.74/1.71  
% 2.74/1.71  Inference rules
% 2.74/1.71  ----------------------
% 2.74/1.71  #Ref     : 0
% 2.74/1.71  #Sup     : 7
% 2.74/1.71  #Fact    : 0
% 2.74/1.71  #Define  : 0
% 2.74/1.71  #Split   : 0
% 2.74/1.71  #Chain   : 0
% 2.74/1.71  #Close   : 0
% 2.74/1.71  
% 2.74/1.71  Ordering : LPO
% 2.74/1.71  
% 2.74/1.71  Simplification rules
% 2.74/1.71  ----------------------
% 2.74/1.71  #Subsume      : 1
% 2.74/1.71  #Demod        : 1
% 2.74/1.71  #Tautology    : 0
% 2.74/1.71  #SimpNegUnit  : 0
% 2.74/1.71  #BackRed      : 0
% 2.74/1.71  
% 2.74/1.71  #Partial instantiations: 0
% 2.74/1.71  #Strategies tried      : 1
% 2.74/1.71  
% 2.74/1.71  Timing (in seconds)
% 2.74/1.71  ----------------------
% 2.95/1.72  Preprocessing        : 0.51
% 2.95/1.72  Parsing              : 0.28
% 2.95/1.72  CNF conversion       : 0.03
% 2.95/1.72  Main loop            : 0.09
% 2.95/1.72  Inferencing          : 0.03
% 2.95/1.72  Reduction            : 0.03
% 2.95/1.72  Demodulation         : 0.02
% 2.95/1.72  BG Simplification    : 0.04
% 2.95/1.72  Subsumption          : 0.03
% 2.95/1.72  Abstraction          : 0.01
% 2.95/1.72  MUC search           : 0.00
% 2.95/1.72  Cooper               : 0.00
% 2.95/1.72  Total                : 0.65
% 2.95/1.72  Index Insertion      : 0.00
% 2.95/1.72  Index Deletion       : 0.00
% 2.95/1.72  Index Matching       : 0.00
% 2.95/1.72  BG Taut test         : 0.00
%------------------------------------------------------------------------------