TSTP Solution File: LCL171-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL171-1 : 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 : n012.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 2.70s 1.65s
% Output   : CNFRefutation 2.70s
% 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    :    5 (   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_57,axiom,
    ! [A,B] : axiom(or(not(or(A,B)),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(or(not(p),not(q))),or(not(q),not(p)))),
    file(unknown,unknown) ).

tff(c_6,plain,
    ! [A_4,B_5] : axiom(or(not(or(A_4,B_5)),or(B_5,A_4))),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

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

tff(c_61,plain,
    ~ axiom(or(not(or(not(p),not(q))),or(not(q),not(p)))),
    inference(resolution,[status(thm)],[c_12,c_18]) ).

tff(c_66,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_61]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL171-1 : 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
% 0.13/0.35  % Computer : n012.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 13:34:37 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.70/1.65  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.70/1.65  
% 2.70/1.65  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.70/1.68  
% 2.70/1.68  Inference rules
% 2.70/1.68  ----------------------
% 2.70/1.68  #Ref     : 0
% 2.70/1.68  #Sup     : 9
% 2.70/1.68  #Fact    : 0
% 2.70/1.68  #Define  : 0
% 2.70/1.68  #Split   : 0
% 2.70/1.68  #Chain   : 0
% 2.70/1.68  #Close   : 0
% 2.70/1.68  
% 2.70/1.68  Ordering : KBO
% 2.70/1.68  
% 2.70/1.68  Simplification rules
% 2.70/1.68  ----------------------
% 2.70/1.68  #Subsume      : 0
% 2.70/1.68  #Demod        : 1
% 2.70/1.68  #Tautology    : 1
% 2.70/1.68  #SimpNegUnit  : 0
% 2.70/1.68  #BackRed      : 0
% 2.70/1.68  
% 2.70/1.68  #Partial instantiations: 0
% 2.70/1.68  #Strategies tried      : 1
% 2.70/1.68  
% 2.70/1.68  Timing (in seconds)
% 2.70/1.68  ----------------------
% 2.70/1.68  Preprocessing        : 0.43
% 2.70/1.68  Parsing              : 0.24
% 2.70/1.68  CNF conversion       : 0.02
% 2.70/1.68  Main loop            : 0.18
% 2.70/1.68  Inferencing          : 0.08
% 2.70/1.68  Reduction            : 0.04
% 2.70/1.68  Demodulation         : 0.03
% 2.70/1.68  BG Simplification    : 0.01
% 2.70/1.68  Subsumption          : 0.04
% 2.70/1.68  Abstraction          : 0.01
% 2.70/1.68  MUC search           : 0.00
% 2.70/1.68  Cooper               : 0.00
% 2.70/1.68  Total                : 0.65
% 2.70/1.68  Index Insertion      : 0.00
% 2.70/1.68  Index Deletion       : 0.00
% 2.70/1.68  Index Matching       : 0.00
% 2.70/1.68  BG Taut test         : 0.00
%------------------------------------------------------------------------------