TSTP Solution File: SYN926+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN926+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 : n002.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 11:16:52 EDT 2023

% Result   : Theorem 2.01s 1.51s
% Output   : CNFRefutation 2.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   6 unt;   3 typ;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :    9 (   5   ~;   1   |;   2   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 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    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    7 (;   4   !;   3   ?;   0   :)

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

%Foreground sorts:

%Background operators:

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

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

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

tff(f_36,negated_conjecture,
    ~ ( ? [X] :
          ( p(X)
          & q(X) )
     => ( ? [X] : p(X)
        & ? [X] : q(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

tff(c_2,plain,
    ! [X_2,X_1] :
      ( ~ q(X_2)
      | ~ p(X_1) ),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_7,plain,
    ! [X_1] : ~ p(X_1),
    inference(splitLeft,[status(thm)],[c_2]) ).

tff(c_6,plain,
    p('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_9,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7,c_6]) ).

tff(c_10,plain,
    ! [X_2] : ~ q(X_2),
    inference(splitRight,[status(thm)],[c_2]) ).

tff(c_4,plain,
    q('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_12,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10,c_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN926+1 : TPTP v8.1.2. Released v3.1.0.
% 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
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 17:37:31 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 2.01/1.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.01/1.51  
% 2.01/1.51  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.01/1.55  
% 2.01/1.55  Inference rules
% 2.01/1.55  ----------------------
% 2.01/1.55  #Ref     : 0
% 2.01/1.55  #Sup     : 0
% 2.01/1.55  #Fact    : 0
% 2.01/1.55  #Define  : 0
% 2.01/1.55  #Split   : 1
% 2.01/1.55  #Chain   : 0
% 2.01/1.55  #Close   : 0
% 2.01/1.55  
% 2.01/1.55  Ordering : KBO
% 2.01/1.55  
% 2.01/1.55  Simplification rules
% 2.01/1.55  ----------------------
% 2.01/1.55  #Subsume      : 0
% 2.01/1.55  #Demod        : 0
% 2.01/1.55  #Tautology    : 0
% 2.01/1.55  #SimpNegUnit  : 2
% 2.01/1.55  #BackRed      : 2
% 2.01/1.55  
% 2.01/1.55  #Partial instantiations: 0
% 2.01/1.55  #Strategies tried      : 1
% 2.01/1.55  
% 2.01/1.55  Timing (in seconds)
% 2.01/1.55  ----------------------
% 2.01/1.55  Preprocessing        : 0.37
% 2.01/1.55  Parsing              : 0.21
% 2.01/1.55  CNF conversion       : 0.02
% 2.01/1.55  Main loop            : 0.10
% 2.01/1.55  Inferencing          : 0.03
% 2.01/1.55  Reduction            : 0.02
% 2.01/1.55  Demodulation         : 0.02
% 2.01/1.55  BG Simplification    : 0.01
% 2.01/1.55  Subsumption          : 0.02
% 2.01/1.55  Abstraction          : 0.00
% 2.01/1.55  MUC search           : 0.00
% 2.01/1.55  Cooper               : 0.00
% 2.01/1.55  Total                : 0.53
% 2.01/1.55  Index Insertion      : 0.00
% 2.01/1.55  Index Deletion       : 0.00
% 2.01/1.55  Index Matching       : 0.00
% 2.01/1.55  BG Taut test         : 0.00
%------------------------------------------------------------------------------