TSTP Solution File: SYN931+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN931+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 : n025.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 11:16:53 EDT 2023

% Result   : Theorem 2.41s 1.59s
% Output   : CNFRefutation 2.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   8   ~;   4   |;   2   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    8 (;   6   !;   2   ?;   0   :)

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

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(c,type,
    c: $o ).

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

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

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

tff(f_35,negated_conjecture,
    ~ ( ? [X] :
          ( p(X)
          & c )
    <=> ( ? [X] : p(X)
        & c ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

tff(c_10,plain,
    c,
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_2,plain,
    ! [X_1,X_2] :
      ( ~ p(X_1)
      | ~ c
      | ~ p(X_2) ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_26,plain,
    ! [X_1,X_2] :
      ( ~ p(X_1)
      | ~ p(X_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_2]) ).

tff(c_27,plain,
    ! [X_2] : ~ p(X_2),
    inference(splitLeft,[status(thm)],[c_26]) ).

tff(c_18,plain,
    ( p('#skF_1')
    | p('#skF_2') ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_29,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_27,c_27,c_18]) ).

tff(c_30,plain,
    ! [X_1] : ~ p(X_1),
    inference(splitRight,[status(thm)],[c_26]) ).

tff(c_32,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_30,c_30,c_18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN931+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13  % 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 : n025.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 17:24:05 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.41/1.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.41/1.59  
% 2.41/1.59  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.56/1.62  
% 2.56/1.62  Inference rules
% 2.56/1.62  ----------------------
% 2.56/1.62  #Ref     : 0
% 2.56/1.62  #Sup     : 0
% 2.56/1.63  #Fact    : 0
% 2.56/1.63  #Define  : 0
% 2.56/1.63  #Split   : 1
% 2.56/1.63  #Chain   : 0
% 2.56/1.63  #Close   : 0
% 2.56/1.63  
% 2.56/1.63  Ordering : KBO
% 2.56/1.63  
% 2.56/1.63  Simplification rules
% 2.56/1.63  ----------------------
% 2.56/1.63  #Subsume      : 0
% 2.56/1.63  #Demod        : 5
% 2.56/1.63  #Tautology    : 4
% 2.56/1.63  #SimpNegUnit  : 2
% 2.56/1.63  #BackRed      : 0
% 2.56/1.63  
% 2.56/1.63  #Partial instantiations: 0
% 2.56/1.63  #Strategies tried      : 1
% 2.56/1.63  
% 2.56/1.63  Timing (in seconds)
% 2.56/1.63  ----------------------
% 2.56/1.63  Preprocessing        : 0.41
% 2.56/1.63  Parsing              : 0.22
% 2.56/1.63  CNF conversion       : 0.03
% 2.56/1.63  Main loop            : 0.12
% 2.56/1.63  Inferencing          : 0.03
% 2.56/1.63  Reduction            : 0.03
% 2.56/1.63  Demodulation         : 0.02
% 2.56/1.63  BG Simplification    : 0.01
% 2.56/1.63  Subsumption          : 0.03
% 2.56/1.63  Abstraction          : 0.01
% 2.56/1.63  MUC search           : 0.00
% 2.56/1.63  Cooper               : 0.00
% 2.56/1.63  Total                : 0.58
% 2.56/1.63  Index Insertion      : 0.00
% 2.56/1.63  Index Deletion       : 0.00
% 2.56/1.63  Index Matching       : 0.00
% 2.56/1.63  BG Taut test         : 0.00
%------------------------------------------------------------------------------