TSTP Solution File: SYN315-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN315-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n017.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 11:10:23 EDT 2023

% Result   : Unsatisfiable 2.43s 1.55s
% Output   : CNFRefutation 2.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   18 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   10 (;  10   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p > f > #nlpp > y > a

%Foreground sorts:

%Background operators:

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

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

tff(y,type,
    y: $i > $i ).

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

tff(f_36,axiom,
    ! [X] :
      ( ~ p(a)
      | f(X) ),
    file(unknown,unknown) ).

tff(f_31,axiom,
    ! [X] :
      ( ~ f(X)
      | p(a) ),
    file(unknown,unknown) ).

tff(f_46,axiom,
    ! [X] :
      ( p(a)
      | f(y(X)) ),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ! [X] :
      ( ~ f(y(X))
      | ~ p(a) ),
    file(unknown,unknown) ).

tff(c_4,plain,
    ! [X_2] :
      ( f(X_2)
      | ~ p(a) ),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_9,plain,
    ~ p(a),
    inference(splitLeft,[status(thm)],[c_4]) ).

tff(c_2,plain,
    ! [X_1] :
      ( p(a)
      | ~ f(X_1) ),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_10,plain,
    ! [X_1] : ~ f(X_1),
    inference(negUnitSimplification,[status(thm)],[c_9,c_2]) ).

tff(c_8,plain,
    ! [X_4] :
      ( f(y(X_4))
      | p(a) ),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_12,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9,c_10,c_8]) ).

tff(c_13,plain,
    ! [X_2] : f(X_2),
    inference(splitRight,[status(thm)],[c_4]) ).

tff(c_14,plain,
    p(a),
    inference(splitRight,[status(thm)],[c_4]) ).

tff(c_6,plain,
    ! [X_3] :
      ( ~ p(a)
      | ~ f(y(X_3)) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_19,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_13,c_14,c_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem  : SYN315-1 : TPTP v8.1.2. Released v1.2.0.
% 0.14/0.16  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.37  % Computer : n017.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu Aug  3 16:56:21 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 2.43/1.55  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.43/1.56  
% 2.43/1.56  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.48/1.59  
% 2.48/1.59  Inference rules
% 2.48/1.59  ----------------------
% 2.48/1.59  #Ref     : 0
% 2.48/1.59  #Sup     : 0
% 2.48/1.59  #Fact    : 0
% 2.48/1.59  #Define  : 0
% 2.48/1.59  #Split   : 1
% 2.48/1.59  #Chain   : 0
% 2.48/1.59  #Close   : 0
% 2.48/1.59  
% 2.48/1.59  Ordering : KBO
% 2.48/1.59  
% 2.48/1.59  Simplification rules
% 2.48/1.59  ----------------------
% 2.48/1.59  #Subsume      : 0
% 2.48/1.59  #Demod        : 4
% 2.48/1.59  #Tautology    : 1
% 2.48/1.59  #SimpNegUnit  : 2
% 2.48/1.59  #BackRed      : 0
% 2.48/1.59  
% 2.48/1.59  #Partial instantiations: 0
% 2.48/1.59  #Strategies tried      : 1
% 2.48/1.59  
% 2.48/1.59  Timing (in seconds)
% 2.48/1.59  ----------------------
% 2.48/1.60  Preprocessing        : 0.38
% 2.48/1.60  Parsing              : 0.21
% 2.48/1.60  CNF conversion       : 0.02
% 2.48/1.60  Main loop            : 0.11
% 2.48/1.60  Inferencing          : 0.04
% 2.48/1.60  Reduction            : 0.02
% 2.48/1.60  Demodulation         : 0.01
% 2.48/1.60  BG Simplification    : 0.01
% 2.48/1.60  Subsumption          : 0.03
% 2.48/1.60  Abstraction          : 0.00
% 2.48/1.60  MUC search           : 0.00
% 2.48/1.60  Cooper               : 0.00
% 2.48/1.60  Total                : 0.54
% 2.48/1.60  Index Insertion      : 0.00
% 2.48/1.60  Index Deletion       : 0.00
% 2.48/1.60  Index Matching       : 0.00
% 2.48/1.60  BG Taut test         : 0.00
%------------------------------------------------------------------------------