TSTP Solution File: SYO898_9 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYO898_9 : TPTP v8.2.0. Released v8.2.0.
% 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 : n008.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 11:18:37 EDT 2023

% Result   : Theorem 2.49s 1.51s
% Output   : CNFRefutation 2.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   11 (   5   ~;   2   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :    6 (   6 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :    7 (;   5   !;   2   ?;   7   :)

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

%Foreground sorts:
tff($ki_world,type,
    $ki_world: $tType ).

%Background operators:

%Foreground operators:
tff(p,type,
    p: $ki_world > $o ).

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

tff('#skF_1',type,
    '#skF_1': $ki_world > $ki_world ).

tff(f_31,axiom,
    ! [W: $ki_world] :
    ? [V: $ki_world] : $ki_accessible(W,V),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_serial) ).

tff(f_43,negated_conjecture,
    ~ ( ! [W: $ki_world] :
          ( $ki_accessible($ki_local_world,W)
         => p(W) )
     => ? [W: $ki_world] :
          ( $ki_accessible($ki_local_world,W)
          & ( q(W)
           => p(W) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).

tff(c_2,plain,
    ! [W_1: $ki_world] : $ki_accessible(W_1,'#skF_1'(W_1)),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_10,plain,
    ! [W_6: $ki_world] :
      ( ~ p(W_6)
      | ~ $ki_accessible($ki_local_world,W_6) ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_15,plain,
    ~ p('#skF_1'($ki_local_world)),
    inference(resolution,[status(thm)],[c_2,c_10]) ).

tff(c_16,plain,
    ! [W_7: $ki_world] :
      ( p(W_7)
      | ~ $ki_accessible($ki_local_world,W_7) ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_20,plain,
    p('#skF_1'($ki_local_world)),
    inference(resolution,[status(thm)],[c_2,c_16]) ).

tff(c_24,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_15,c_20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYO898_9 : TPTP v8.2.0. Released v8.2.0.
% 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
% 0.13/0.33  % Computer : n008.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  : 300
% 0.13/0.33  % DateTime : Thu Aug  3 15:57:19 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 2.49/1.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.49/1.52  
% 2.49/1.52  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.49/1.54  
% 2.49/1.54  Inference rules
% 2.49/1.54  ----------------------
% 2.49/1.54  #Ref     : 0
% 2.49/1.54  #Sup     : 2
% 2.49/1.54  #Fact    : 0
% 2.49/1.54  #Define  : 0
% 2.49/1.54  #Split   : 0
% 2.49/1.54  #Chain   : 0
% 2.49/1.54  #Close   : 0
% 2.49/1.54  
% 2.49/1.54  Ordering : KBO
% 2.49/1.54  
% 2.49/1.54  Simplification rules
% 2.49/1.54  ----------------------
% 2.49/1.54  #Subsume      : 0
% 2.49/1.54  #Demod        : 0
% 2.49/1.54  #Tautology    : 0
% 2.49/1.54  #SimpNegUnit  : 1
% 2.49/1.54  #BackRed      : 0
% 2.49/1.54  
% 2.49/1.54  #Partial instantiations: 0
% 2.49/1.54  #Strategies tried      : 1
% 2.49/1.54  
% 2.49/1.54  Timing (in seconds)
% 2.49/1.54  ----------------------
% 2.49/1.54  Preprocessing        : 0.40
% 2.49/1.54  Parsing              : 0.24
% 2.49/1.54  CNF conversion       : 0.02
% 2.49/1.54  Main loop            : 0.13
% 2.49/1.54  Inferencing          : 0.06
% 2.49/1.54  Reduction            : 0.02
% 2.49/1.54  Demodulation         : 0.02
% 2.49/1.54  BG Simplification    : 0.01
% 2.49/1.54  Subsumption          : 0.03
% 2.49/1.54  Abstraction          : 0.00
% 2.49/1.54  MUC search           : 0.00
% 2.49/1.54  Cooper               : 0.00
% 2.49/1.54  Total                : 0.57
% 2.49/1.54  Index Insertion      : 0.00
% 2.49/1.54  Index Deletion       : 0.00
% 2.49/1.54  Index Matching       : 0.00
% 2.49/1.55  BG Taut test         : 0.00
%------------------------------------------------------------------------------