TSTP Solution File: SYN969+1 by Beagle---0.9.47

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.47
% Problem  : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xms512M -Xmx4G -Xss10M -XX:MaxPermSize=384M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n018.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 02:46:10 EDT 2022

% Result   : Theorem 1.44s 1.04s
% Output   : CNFRefutation 1.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   5 unt;   7 typ;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   12 (   5   ~;   2   |;   1   &)
%                                         (   0 <=>;   4  =>;   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  :    9 (   6   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?;   0   :)

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

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

tff(f_39,negated_conjecture,
    ~ ! [B] :
        ( ( ! [X] :
              ( p(X)
             => q(X) )
          & r(B) )
       => ( ! [Y] :
              ( r(Y)
             => p(Y) )
         => q(B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

tff(c_6,plain,
    r('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_9,plain,
    ! [Y_5] :
      ( p(Y_5)
      | ~ r(Y_5) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_13,plain,
    p('#skF_1'),
    inference(resolution,[status(thm)],[c_6,c_9]) ).

tff(c_14,plain,
    ! [X_6] :
      ( q(X_6)
      | ~ p(X_6) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_2,plain,
    ~ q('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_17,plain,
    ~ p('#skF_1'),
    inference(resolution,[status(thm)],[c_14,c_2]) ).

tff(c_21,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_13,c_17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : java -Xms512M -Xmx4G -Xss10M -XX:MaxPermSize=384M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 12:52:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  OpenJDK 64-Bit Server VM warning: ignoring option MaxPermSize=384M; support was removed in 8.0
% 1.44/1.04  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.44/1.04  
% 1.44/1.04  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.44/1.05  
% 1.44/1.05  Inference rules
% 1.44/1.05  ----------------------
% 1.44/1.05  #Ref     : 0
% 1.44/1.05  #Sup     : 2
% 1.44/1.05  #Fact    : 0
% 1.44/1.05  #Define  : 0
% 1.44/1.05  #Split   : 0
% 1.44/1.05  #Chain   : 0
% 1.44/1.05  #Close   : 0
% 1.44/1.05  
% 1.44/1.05  Ordering : KBO
% 1.44/1.05  
% 1.44/1.05  Simplification rules
% 1.44/1.05  ----------------------
% 1.44/1.05  #Subsume      : 0
% 1.44/1.05  #Demod        : 1
% 1.44/1.05  #Tautology    : 0
% 1.44/1.05  #SimpNegUnit  : 0
% 1.44/1.05  #BackRed      : 0
% 1.44/1.05  
% 1.44/1.05  #Partial instantiations: 0
% 1.44/1.05  #Strategies tried      : 1
% 1.44/1.05  
% 1.44/1.05  Timing (in seconds)
% 1.44/1.05  ----------------------
% 1.44/1.05  Preprocessing        : 0.23
% 1.44/1.05  Parsing              : 0.13
% 1.44/1.05  CNF conversion       : 0.01
% 1.44/1.05  Main loop            : 0.07
% 1.44/1.05  Inferencing          : 0.04
% 1.44/1.05  Reduction            : 0.01
% 1.44/1.05  Demodulation         : 0.01
% 1.44/1.05  BG Simplification    : 0.01
% 1.44/1.05  Subsumption          : 0.00
% 1.44/1.05  Abstraction          : 0.00
% 1.44/1.05  MUC search           : 0.00
% 1.44/1.05  Cooper               : 0.00
% 1.44/1.05  Total                : 0.31
% 1.44/1.05  Index Insertion      : 0.00
% 1.44/1.05  Index Deletion       : 0.00
% 1.44/1.05  Index Matching       : 0.00
% 1.44/1.05  BG Taut test         : 0.00
%------------------------------------------------------------------------------