TSTP Solution File: LCL172-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL172-1 : TPTP v8.1.2. Released v1.1.0.
% 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 10:47:32 EDT 2023

% Result   : Unsatisfiable 2.96s 2.13s
% Output   : CNFRefutation 3.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   15 (   6 unt;   7 typ;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   4   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (;   8   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ theorem > axiom > or > #nlpp > not > r > q > p

%Foreground sorts:

%Background operators:

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

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

tff(or,type,
    or: ( $i * $i ) > $i ).

tff(not,type,
    not: $i > $i ).

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

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

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

tff(f_59,axiom,
    ! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
    file(unknown,unknown) ).

tff(f_66,axiom,
    ! [X] :
      ( theorem(X)
      | ~ axiom(X) ),
    file(unknown,unknown) ).

tff(f_86,axiom,
    ~ theorem(or(not(or(not(p),or(not(q),r))),or(not(q),or(not(p),r)))),
    file(unknown,unknown) ).

tff(c_8,plain,
    ! [A_6,B_7,C_8] : axiom(or(not(or(A_6,or(B_7,C_8))),or(B_7,or(A_6,C_8)))),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_12,plain,
    ! [X_12] :
      ( ~ axiom(X_12)
      | theorem(X_12) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_18,plain,
    ~ theorem(or(not(or(not(p),or(not(q),r))),or(not(q),or(not(p),r)))),
    inference(cnfTransformation,[status(thm)],[f_86]) ).

tff(c_269,plain,
    ~ axiom(or(not(or(not(p),or(not(q),r))),or(not(q),or(not(p),r)))),
    inference(resolution,[status(thm)],[c_12,c_18]) ).

tff(c_278,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_269]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LCL172-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.12  % 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
% 0.13/0.32  % Computer : n021.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Thu Aug  3 13:55:51 EDT 2023
% 0.13/0.32  % CPUTime  : 
% 2.96/2.13  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.96/2.14  
% 2.96/2.14  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.39/2.17  
% 3.39/2.17  Inference rules
% 3.39/2.17  ----------------------
% 3.39/2.17  #Ref     : 0
% 3.39/2.17  #Sup     : 57
% 3.39/2.17  #Fact    : 0
% 3.39/2.17  #Define  : 0
% 3.39/2.17  #Split   : 0
% 3.39/2.17  #Chain   : 0
% 3.39/2.17  #Close   : 0
% 3.39/2.17  
% 3.39/2.17  Ordering : KBO
% 3.39/2.18  
% 3.39/2.18  Simplification rules
% 3.39/2.18  ----------------------
% 3.39/2.18  #Subsume      : 19
% 3.39/2.18  #Demod        : 1
% 3.39/2.18  #Tautology    : 3
% 3.39/2.18  #SimpNegUnit  : 0
% 3.39/2.18  #BackRed      : 0
% 3.39/2.18  
% 3.39/2.18  #Partial instantiations: 0
% 3.39/2.18  #Strategies tried      : 1
% 3.39/2.18  
% 3.39/2.18  Timing (in seconds)
% 3.39/2.18  ----------------------
% 3.39/2.18  Preprocessing        : 0.56
% 3.39/2.18  Parsing              : 0.31
% 3.39/2.18  CNF conversion       : 0.03
% 3.39/2.18  Main loop            : 0.43
% 3.39/2.18  Inferencing          : 0.19
% 3.39/2.18  Reduction            : 0.09
% 3.39/2.18  Demodulation         : 0.07
% 3.39/2.18  BG Simplification    : 0.01
% 3.39/2.18  Subsumption          : 0.11
% 3.39/2.18  Abstraction          : 0.02
% 3.39/2.18  MUC search           : 0.00
% 3.39/2.18  Cooper               : 0.00
% 3.39/2.18  Total                : 1.06
% 3.39/2.18  Index Insertion      : 0.00
% 3.39/2.18  Index Deletion       : 0.00
% 3.39/2.18  Index Matching       : 0.00
% 3.39/2.18  BG Taut test         : 0.00
%------------------------------------------------------------------------------