TSTP Solution File: COL052-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : COL052-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n003.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 10:34:54 EDT 2023

% Result   : Unsatisfiable 2.47s 1.63s
% Output   : CNFRefutation 2.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   19 (  12 unt;   7 typ;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   3   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (;  14   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ response > compose > #nlpp > common_bird > odd_bird > c > b > a

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

tff(f_46,axiom,
    c = compose(a,b),
    file(unknown,unknown) ).

tff(f_30,axiom,
    ! [X,Y,W] : ( response(compose(X,Y),W) = response(X,response(Y,W)) ),
    file(unknown,unknown) ).

tff(f_41,axiom,
    ! [X] : ( response(c,common_bird(X)) = response(X,common_bird(X)) ),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ! [V] : ( response(a,V) != response(odd_bird,V) ),
    file(unknown,unknown) ).

tff(c_8,plain,
    compose(a,b) = c,
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_35,plain,
    ! [X_8,Y_9,W_10] : ( response(compose(X_8,Y_9),W_10) = response(X_8,response(Y_9,W_10)) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_52,plain,
    ! [W_10] : ( response(a,response(b,W_10)) = response(c,W_10) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_35]) ).

tff(c_4,plain,
    ! [X_4] : ( response(c,common_bird(X_4)) = response(X_4,common_bird(X_4)) ),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_64,plain,
    ! [X_12,Y_13] : ( response(X_12,response(Y_13,common_bird(compose(X_12,Y_13)))) = response(c,common_bird(compose(X_12,Y_13))) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_35]) ).

tff(c_6,plain,
    ! [V_5] : ( response(odd_bird,V_5) != response(a,V_5) ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_108,plain,
    ! [Y_14] : ( response(a,response(Y_14,common_bird(compose(odd_bird,Y_14)))) != response(c,common_bird(compose(odd_bird,Y_14))) ),
    inference(superposition,[status(thm),theory(equality)],[c_64,c_6]) ).

tff(c_118,plain,
    $false,
    inference(superposition,[status(thm),theory(equality)],[c_52,c_108]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : COL052-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14  % 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
% 0.15/0.36  % Computer : n003.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 18:12:38 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 2.47/1.63  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.47/1.63  
% 2.47/1.63  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.47/1.65  
% 2.47/1.65  Inference rules
% 2.47/1.65  ----------------------
% 2.47/1.65  #Ref     : 0
% 2.47/1.65  #Sup     : 26
% 2.47/1.65  #Fact    : 0
% 2.47/1.65  #Define  : 0
% 2.47/1.65  #Split   : 0
% 2.47/1.65  #Chain   : 0
% 2.47/1.65  #Close   : 0
% 2.47/1.65  
% 2.47/1.65  Ordering : KBO
% 2.47/1.65  
% 2.47/1.65  Simplification rules
% 2.47/1.65  ----------------------
% 2.47/1.65  #Subsume      : 0
% 2.47/1.65  #Demod        : 7
% 2.47/1.65  #Tautology    : 16
% 2.47/1.65  #SimpNegUnit  : 0
% 2.47/1.65  #BackRed      : 0
% 2.47/1.65  
% 2.47/1.65  #Partial instantiations: 0
% 2.47/1.65  #Strategies tried      : 1
% 2.47/1.65  
% 2.47/1.65  Timing (in seconds)
% 2.47/1.65  ----------------------
% 2.47/1.66  Preprocessing        : 0.40
% 2.47/1.66  Parsing              : 0.21
% 2.68/1.66  CNF conversion       : 0.02
% 2.68/1.66  Main loop            : 0.19
% 2.68/1.66  Inferencing          : 0.08
% 2.68/1.66  Reduction            : 0.05
% 2.68/1.66  Demodulation         : 0.04
% 2.68/1.66  BG Simplification    : 0.01
% 2.68/1.66  Subsumption          : 0.03
% 2.68/1.66  Abstraction          : 0.01
% 2.68/1.66  MUC search           : 0.00
% 2.68/1.66  Cooper               : 0.00
% 2.68/1.66  Total                : 0.64
% 2.68/1.66  Index Insertion      : 0.00
% 2.68/1.66  Index Deletion       : 0.00
% 2.68/1.66  Index Matching       : 0.00
% 2.68/1.66  BG Taut test         : 0.00
%------------------------------------------------------------------------------