TSTP Solution File: SYN367+1 by Beagle---0.9.47

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.47
% Problem  : SYN367+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xms512M -Xmx4G -Xss10M -XX:MaxPermSize=384M -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 : n021.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  : 600s
% DateTime : Thu Jul 21 02:37:08 EDT 2022

% Result   : Theorem 1.48s 1.05s
% Output   : CNFRefutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (   7 unt;   8 typ;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   12 (   5   ~;   4   |;   2   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    5 (   0 usr;   3 ari)
%            Number of type conns  :    8 (   5   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ big_r > big_q > #nlpp > p > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#nlpp',type,
    '#nlpp': ( $real * $real ) > $real ).

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

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

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

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

tff('#nlpp_001',type,
    '#nlpp': ( $rat * $rat ) > $rat ).

tff('#nlpp_002',type,
    '#nlpp': ( $int * $int ) > $int ).

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

tff(f_41,negated_conjecture,
    ~ ( ! [X] :
          ( ( p
            & big_q(X) )
          | ( ~ p
            & big_r(X) ) )
     => ( ! [X] : big_q(X)
        | ! [X] : big_r(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2118) ).

tff(c_8,plain,
    ! [X_1] :
      ( p
      | big_r(X_1) ),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_13,plain,
    p,
    inference(splitLeft,[status(thm)],[c_8]) ).

tff(c_10,plain,
    ! [X_1] :
      ( big_q(X_1)
      | ~ p ),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_15,plain,
    ! [X_1] : big_q(X_1),
    inference(demodulation,[status(thm),theory(equality)],[c_13,c_10]) ).

tff(c_4,plain,
    ~ big_q('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_18,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_15,c_4]) ).

tff(c_19,plain,
    ! [X_1] : big_r(X_1),
    inference(splitRight,[status(thm)],[c_8]) ).

tff(c_2,plain,
    ~ big_r('#skF_2'),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_23,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_19,c_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN367+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.14  % Command  : java -Xms512M -Xmx4G -Xss10M -XX:MaxPermSize=384M -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
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jul 11 14:45:53 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.37  OpenJDK 64-Bit Server VM warning: ignoring option MaxPermSize=384M; support was removed in 8.0
% 1.48/1.05  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/1.05  
% 1.48/1.05  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.57/1.07  
% 1.57/1.07  Inference rules
% 1.57/1.07  ----------------------
% 1.57/1.07  #Ref     : 0
% 1.57/1.07  #Sup     : 0
% 1.57/1.07  #Fact    : 0
% 1.57/1.07  #Define  : 0
% 1.57/1.07  #Split   : 1
% 1.57/1.07  #Chain   : 0
% 1.57/1.07  #Close   : 0
% 1.57/1.07  
% 1.57/1.07  Ordering : KBO
% 1.57/1.07  
% 1.57/1.07  Simplification rules
% 1.57/1.07  ----------------------
% 1.57/1.07  #Subsume      : 0
% 1.57/1.07  #Demod        : 3
% 1.57/1.07  #Tautology    : 1
% 1.57/1.07  #SimpNegUnit  : 0
% 1.57/1.07  #BackRed      : 2
% 1.57/1.07  
% 1.57/1.07  #Partial instantiations: 0
% 1.57/1.07  #Strategies tried      : 1
% 1.57/1.07  
% 1.57/1.07  Timing (in seconds)
% 1.57/1.07  ----------------------
% 1.57/1.08  Preprocessing        : 0.24
% 1.57/1.08  Parsing              : 0.13
% 1.57/1.08  CNF conversion       : 0.01
% 1.57/1.08  Main loop            : 0.05
% 1.57/1.08  Inferencing          : 0.02
% 1.57/1.08  Reduction            : 0.02
% 1.57/1.08  Demodulation         : 0.01
% 1.57/1.08  BG Simplification    : 0.01
% 1.57/1.08  Subsumption          : 0.00
% 1.57/1.08  Abstraction          : 0.00
% 1.57/1.08  MUC search           : 0.00
% 1.57/1.08  Cooper               : 0.00
% 1.57/1.08  Total                : 0.32
% 1.57/1.08  Index Insertion      : 0.00
% 1.57/1.08  Index Deletion       : 0.00
% 1.57/1.08  Index Matching       : 0.00
% 1.57/1.08  BG Taut test         : 0.00
%------------------------------------------------------------------------------