TSTP Solution File: SYN954+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN954+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n006.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 11:16:58 EDT 2023

% Result   : Theorem 2.43s 1.54s
% Output   : CNFRefutation 2.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   2 unt;   4 typ;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   12 (   4   ~;   3   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    7 (;   6   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ q > p > #nlpp > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(q,type,
    q: $i > $o ).

tff(p,type,
    p: $i > $o ).

tff('#skF_2',type,
    '#skF_2': $i ).

tff('#skF_1',type,
    '#skF_1': $i ).

tff(f_39,negated_conjecture,
    ~ ! [A,B] :
        ( ! [Z] :
            ( q(Z)
           => p(Z) )
       => ? [X] :
            ( ( p(X)
             => p(A) )
            & ( q(X)
             => p(B) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

tff(c_10,plain,
    ! [X_4] :
      ( p(X_4)
      | q(X_4) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_12,plain,
    ! [Z_6] :
      ( p(Z_6)
      | ~ q(Z_6) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_16,plain,
    ! [X_4] : p(X_4),
    inference(resolution,[status(thm)],[c_10,c_12]) ).

tff(c_4,plain,
    ( ~ p('#skF_1')
    | ~ p('#skF_2') ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_26,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SYN954+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.13  % 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 : n006.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 : Thu Aug  3 17:10:14 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.43/1.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.43/1.54  
% 2.43/1.54  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.43/1.56  
% 2.43/1.56  Inference rules
% 2.43/1.56  ----------------------
% 2.43/1.56  #Ref     : 0
% 2.43/1.56  #Sup     : 1
% 2.43/1.56  #Fact    : 0
% 2.43/1.56  #Define  : 0
% 2.43/1.56  #Split   : 0
% 2.43/1.56  #Chain   : 0
% 2.43/1.56  #Close   : 0
% 2.43/1.56  
% 2.43/1.56  Ordering : KBO
% 2.43/1.56  
% 2.43/1.56  Simplification rules
% 2.43/1.56  ----------------------
% 2.43/1.56  #Subsume      : 0
% 2.43/1.56  #Demod        : 7
% 2.43/1.56  #Tautology    : 3
% 2.43/1.56  #SimpNegUnit  : 0
% 2.43/1.56  #BackRed      : 0
% 2.43/1.56  
% 2.43/1.56  #Partial instantiations: 0
% 2.43/1.56  #Strategies tried      : 1
% 2.43/1.56  
% 2.43/1.56  Timing (in seconds)
% 2.43/1.56  ----------------------
% 2.43/1.57  Preprocessing        : 0.38
% 2.43/1.57  Parsing              : 0.21
% 2.43/1.57  CNF conversion       : 0.02
% 2.43/1.57  Main loop            : 0.14
% 2.43/1.57  Inferencing          : 0.07
% 2.66/1.57  Reduction            : 0.02
% 2.66/1.57  Demodulation         : 0.01
% 2.66/1.57  BG Simplification    : 0.01
% 2.66/1.57  Subsumption          : 0.03
% 2.66/1.57  Abstraction          : 0.00
% 2.66/1.57  MUC search           : 0.00
% 2.66/1.57  Cooper               : 0.00
% 2.66/1.57  Total                : 0.57
% 2.66/1.57  Index Insertion      : 0.00
% 2.66/1.57  Index Deletion       : 0.00
% 2.66/1.57  Index Matching       : 0.00
% 2.66/1.57  BG Taut test         : 0.00
%------------------------------------------------------------------------------