TSTP Solution File: SWB002+2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWB002+2 : TPTP v8.1.2. Released v5.2.0.
% 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 : 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  : 300s
% DateTime : Tue Aug 22 11:00:12 EDT 2023

% Result   : Theorem 2.39s 1.55s
% Output   : CNFRefutation 2.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   12 (   4 unt;   5 typ;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   1   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   1   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    5 (;   2   !;   3   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ iext > #nlpp > uri_ex_s > uri_ex_q > uri_ex_p > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(uri_ex_s,type,
    uri_ex_s: $i ).

tff(uri_ex_p,type,
    uri_ex_p: $i ).

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

tff(iext,type,
    iext: ( $i * $i * $i ) > $o ).

tff(uri_ex_q,type,
    uri_ex_q: $i ).

tff(f_33,axiom,
    ? [BNODE_o] :
      ( iext(uri_ex_p,uri_ex_s,BNODE_o)
      & iext(uri_ex_q,BNODE_o,uri_ex_s) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_002_Existential_Blank_Nodes) ).

tff(f_29,negated_conjecture,
    ~ ? [BNODE_x,BNODE_y] :
        ( iext(uri_ex_p,BNODE_x,BNODE_y)
        & iext(uri_ex_q,BNODE_y,BNODE_x) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_002_Existential_Blank_Nodes) ).

tff(c_6,plain,
    iext(uri_ex_p,uri_ex_s,'#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_4,plain,
    iext(uri_ex_q,'#skF_1',uri_ex_s),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_7,plain,
    ! [BNODE_y_3,BNODE_x_4] :
      ( ~ iext(uri_ex_q,BNODE_y_3,BNODE_x_4)
      | ~ iext(uri_ex_p,BNODE_x_4,BNODE_y_3) ),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_10,plain,
    ~ iext(uri_ex_p,uri_ex_s,'#skF_1'),
    inference(resolution,[status(thm)],[c_4,c_7]) ).

tff(c_14,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB002+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % 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
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 18:28:06 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.39/1.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.39/1.55  
% 2.39/1.55  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.53/1.58  
% 2.53/1.58  Inference rules
% 2.53/1.58  ----------------------
% 2.53/1.58  #Ref     : 0
% 2.53/1.58  #Sup     : 1
% 2.53/1.58  #Fact    : 0
% 2.53/1.58  #Define  : 0
% 2.53/1.58  #Split   : 0
% 2.53/1.58  #Chain   : 0
% 2.53/1.58  #Close   : 0
% 2.53/1.58  
% 2.53/1.58  Ordering : KBO
% 2.53/1.58  
% 2.53/1.58  Simplification rules
% 2.53/1.58  ----------------------
% 2.53/1.58  #Subsume      : 0
% 2.53/1.58  #Demod        : 1
% 2.53/1.58  #Tautology    : 0
% 2.53/1.58  #SimpNegUnit  : 0
% 2.53/1.58  #BackRed      : 0
% 2.53/1.58  
% 2.53/1.58  #Partial instantiations: 0
% 2.53/1.58  #Strategies tried      : 1
% 2.53/1.58  
% 2.53/1.58  Timing (in seconds)
% 2.53/1.58  ----------------------
% 2.53/1.58  Preprocessing        : 0.40
% 2.53/1.58  Parsing              : 0.22
% 2.53/1.58  CNF conversion       : 0.02
% 2.53/1.58  Main loop            : 0.13
% 2.53/1.58  Inferencing          : 0.07
% 2.53/1.58  Reduction            : 0.02
% 2.53/1.58  Demodulation         : 0.02
% 2.53/1.58  BG Simplification    : 0.01
% 2.53/1.58  Subsumption          : 0.02
% 2.53/1.58  Abstraction          : 0.00
% 2.53/1.58  MUC search           : 0.00
% 2.53/1.58  Cooper               : 0.00
% 2.53/1.58  Total                : 0.57
% 2.53/1.58  Index Insertion      : 0.00
% 2.53/1.58  Index Deletion       : 0.00
% 2.53/1.58  Index Matching       : 0.00
% 2.53/1.58  BG Taut test         : 0.00
%------------------------------------------------------------------------------