TSTP Solution File: SYO900_11 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYO900_11 : 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/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 : n026.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 2.17s 1.57s
% Output   : CNFRefutation 2.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   14 (   5 unt;   7 typ;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   13 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :    2 (   2 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   12 (;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
%$ q > p > #nlpp > #skF_4 > #skF_2 > #skF_1 > #skF_3

%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_4',type,
    '#skF_4': $ki_world ).

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

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

tff('#skF_3',type,
    '#skF_3': $ki_world ).

tff(f_30,axiom,
    ! [W: $ki_world,V: $ki_world] : $ki_accessible(W,V),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).

tff(f_56,negated_conjecture,
    ~ ( ! [W: $ki_world] :
          ( $ki_accessible($ki_local_world,W)
         => ( ! [W0: $ki_world] :
                ( $ki_accessible(W,W0)
               => p(W0) )
           => ! [W0: $ki_world] :
                ( $ki_accessible(W,W0)
               => q(W0) ) ) )
      | ! [W: $ki_world] :
          ( $ki_accessible($ki_local_world,W)
         => ( ! [W0: $ki_world] :
                ( $ki_accessible(W,W0)
               => q(W0) )
           => ! [W0: $ki_world] :
                ( $ki_accessible(W,W0)
               => p(W0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).

tff(c_2,plain,
    ! [W_1: $ki_world,V_2: $ki_world] : $ki_accessible(W_1,V_2),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_8,plain,
    ! [W0_8: $ki_world] :
      ( q(W0_8)
      | ~ $ki_accessible('#skF_3',W0_8) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_23,plain,
    ! [W0_8: $ki_world] : q(W0_8),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_8]) ).

tff(c_12,plain,
    ~ q('#skF_2'),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_28,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_23,c_12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO900_11 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -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
% 0.13/0.35  % Computer : n026.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 16:12:31 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.17/1.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.17/1.57  
% 2.17/1.57  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.17/1.61  
% 2.17/1.61  Inference rules
% 2.17/1.61  ----------------------
% 2.17/1.61  #Ref     : 0
% 2.17/1.61  #Sup     : 0
% 2.17/1.61  #Fact    : 0
% 2.17/1.61  #Define  : 0
% 2.17/1.61  #Split   : 0
% 2.17/1.61  #Chain   : 0
% 2.17/1.61  #Close   : 0
% 2.17/1.61  
% 2.17/1.61  Ordering : KBO
% 2.17/1.61  
% 2.17/1.61  Simplification rules
% 2.17/1.61  ----------------------
% 2.17/1.61  #Subsume      : 4
% 2.17/1.61  #Demod        : 8
% 2.17/1.61  #Tautology    : 4
% 2.17/1.61  #SimpNegUnit  : 0
% 2.17/1.61  #BackRed      : 0
% 2.17/1.61  
% 2.17/1.61  #Partial instantiations: 0
% 2.17/1.61  #Strategies tried      : 1
% 2.17/1.61  
% 2.17/1.61  Timing (in seconds)
% 2.17/1.61  ----------------------
% 2.17/1.62  Preprocessing        : 0.46
% 2.17/1.62  Parsing              : 0.27
% 2.17/1.62  CNF conversion       : 0.03
% 2.17/1.62  Main loop            : 0.07
% 2.17/1.62  Inferencing          : 0.00
% 2.17/1.62  Reduction            : 0.03
% 2.17/1.62  Demodulation         : 0.03
% 2.17/1.62  BG Simplification    : 0.01
% 2.17/1.62  Subsumption          : 0.03
% 2.17/1.62  Abstraction          : 0.00
% 2.17/1.62  MUC search           : 0.00
% 2.17/1.62  Cooper               : 0.00
% 2.17/1.62  Total                : 0.59
% 2.17/1.62  Index Insertion      : 0.00
% 2.17/1.62  Index Deletion       : 0.00
% 2.17/1.62  Index Matching       : 0.00
% 2.17/1.62  BG Taut test         : 0.00
%------------------------------------------------------------------------------