TSTP Solution File: ARI739_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ARI739_1 : TPTP v8.1.2. Released v7.0.0.
% 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 : n029.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 10:34:18 EDT 2023

% Result   : Theorem 3.34s 1.91s
% Output   : CNFRefutation 3.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of formulae    :    9 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :    5 (   4 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number arithmetic     :    6 (   0 atm;   0 fun;   4 num;   2 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :    2 (;   2   !;   0   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp > log2 > log10 > log > exp

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(log,type,
    log: $real > $real ).

tff(log2,type,
    log2: $real > $real ).

tff(exp,type,
    exp: $real > $real ).

tff(log10,type,
    log10: $real > $real ).

tff(f_39,axiom,
    ! [Xa: $real] : ( log(exp(Xa)) = Xa ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',log_exp) ).

tff(f_49,negated_conjecture,
    log(exp(1)) != 1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',log_e) ).

tff(c_9,plain,
    ! [X_5a: $real] : ( log(exp(X_5a)) = X_5a ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_16,plain,
    log(exp(1)) != 1,
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_101,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_9,c_16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI739_1 : TPTP v8.1.2. Released v7.0.0.
% 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
% 0.16/0.34  % Computer : n029.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Fri Aug  4 00:27:23 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 3.34/1.91  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.34/1.92  
% 3.34/1.92  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.34/1.94  
% 3.34/1.94  Inference rules
% 3.34/1.94  ----------------------
% 3.34/1.94  #Ref     : 0
% 3.34/1.94  #Sup     : 0
% 3.34/1.94  #Fact    : 0
% 3.34/1.94  #Define  : 0
% 3.34/1.94  #Split   : 0
% 3.34/1.94  #Chain   : 0
% 3.34/1.94  #Close   : 0
% 3.34/1.94  
% 3.34/1.94  Ordering : LPO
% 3.34/1.94  
% 3.34/1.94  Simplification rules
% 3.34/1.94  ----------------------
% 3.34/1.94  #Subsume      : 8
% 3.34/1.94  #Demod        : 1
% 3.34/1.94  #Tautology    : 1
% 3.34/1.94  #SimpNegUnit  : 0
% 3.34/1.94  #BackRed      : 0
% 3.34/1.94  
% 3.34/1.94  #Partial instantiations: 0
% 3.34/1.94  #Strategies tried      : 1
% 3.34/1.94  
% 3.34/1.94  Timing (in seconds)
% 3.34/1.94  ----------------------
% 3.34/1.94  Preprocessing        : 0.70
% 3.34/1.94  Parsing              : 0.33
% 3.34/1.95  CNF conversion       : 0.03
% 3.34/1.95  Main loop            : 0.04
% 3.34/1.95  Inferencing          : 0.00
% 3.34/1.95  Reduction            : 0.02
% 3.34/1.95  Demodulation         : 0.02
% 3.34/1.95  BG Simplification    : 0.04
% 3.34/1.95  Subsumption          : 0.01
% 3.34/1.95  Abstraction          : 0.02
% 3.34/1.95  MUC search           : 0.00
% 3.34/1.95  Cooper               : 0.00
% 3.34/1.95  Total                : 0.79
% 3.34/1.95  Index Insertion      : 0.00
% 3.34/1.95  Index Deletion       : 0.00
% 3.34/1.95  Index Matching       : 0.00
% 3.34/1.95  BG Taut test         : 0.00
%------------------------------------------------------------------------------