TSTP Solution File: LCL170-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL170-1 : 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 : n025.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 10:47:31 EDT 2023

% Result   : Unsatisfiable 2.21s 1.57s
% Output   : CNFRefutation 2.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   14 (   6 unt;   6 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    :    4 (   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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (;   6   !;   0   ?;   0   :)

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

%Foreground sorts:

%Background operators:

%Foreground operators:
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_55,axiom,
    ! [A,B] : axiom(or(not(A),or(B,A))),
    file(unknown,unknown) ).

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

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

tff(c_4,plain,
    ! [A_2,B_3] : axiom(or(not(A_2),or(B_3,A_2))),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

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(q),or(not(p),q))),
    inference(cnfTransformation,[status(thm)],[f_86]) ).

tff(c_24,plain,
    ~ axiom(or(not(q),or(not(p),q))),
    inference(resolution,[status(thm)],[c_12,c_18]) ).

tff(c_28,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL170-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14  % 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
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 14:01:49 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 2.21/1.57  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.21/1.58  
% 2.21/1.58  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.21/1.60  
% 2.21/1.60  Inference rules
% 2.21/1.60  ----------------------
% 2.21/1.60  #Ref     : 0
% 2.21/1.60  #Sup     : 1
% 2.21/1.60  #Fact    : 0
% 2.21/1.60  #Define  : 0
% 2.21/1.60  #Split   : 0
% 2.21/1.60  #Chain   : 0
% 2.21/1.60  #Close   : 0
% 2.21/1.60  
% 2.21/1.60  Ordering : KBO
% 2.21/1.60  
% 2.21/1.60  Simplification rules
% 2.21/1.60  ----------------------
% 2.21/1.60  #Subsume      : 0
% 2.21/1.60  #Demod        : 1
% 2.21/1.60  #Tautology    : 0
% 2.21/1.60  #SimpNegUnit  : 0
% 2.21/1.60  #BackRed      : 0
% 2.21/1.60  
% 2.21/1.60  #Partial instantiations: 0
% 2.21/1.60  #Strategies tried      : 1
% 2.21/1.60  
% 2.21/1.60  Timing (in seconds)
% 2.21/1.60  ----------------------
% 2.21/1.61  Preprocessing        : 0.41
% 2.21/1.61  Parsing              : 0.22
% 2.21/1.61  CNF conversion       : 0.02
% 2.21/1.61  Main loop            : 0.15
% 2.21/1.61  Inferencing          : 0.06
% 2.21/1.61  Reduction            : 0.03
% 2.21/1.61  Demodulation         : 0.03
% 2.21/1.61  BG Simplification    : 0.01
% 2.21/1.61  Subsumption          : 0.03
% 2.21/1.61  Abstraction          : 0.00
% 2.21/1.61  MUC search           : 0.00
% 2.21/1.61  Cooper               : 0.00
% 2.21/1.61  Total                : 0.60
% 2.21/1.61  Index Insertion      : 0.00
% 2.21/1.61  Index Deletion       : 0.00
% 2.21/1.61  Index Matching       : 0.00
% 2.21/1.61  BG Taut test         : 0.00
%------------------------------------------------------------------------------