TSTP Solution File: SYN058-1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN058-1 : 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 : n001.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 11:09:10 EDT 2023

% Result   : Unsatisfiable 2.21s 1.59s
% Output   : CNFRefutation 2.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   32 (  16 unt;   9 typ;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  15   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   12 (;  12   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ big_s > big_r > big_q > big_p > big_g > big_f > #nlpp > d > c > b

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

tff(f_54,axiom,
    big_f(d),
    file(unknown,unknown) ).

tff(f_52,axiom,
    ! [Y,X] :
      ( ~ big_s(Y)
      | ~ big_f(X)
      | big_g(X) ),
    file(unknown,unknown) ).

tff(f_28,axiom,
    ! [X,Y] :
      ( ~ big_p(X)
      | big_q(Y) ),
    file(unknown,unknown) ).

tff(f_53,axiom,
    big_p(d),
    file(unknown,unknown) ).

tff(f_36,axiom,
    ( ~ big_q(b)
    | big_s(c) ),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ~ big_g(d),
    file(unknown,unknown) ).

tff(c_16,plain,
    big_f(d),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_12,plain,
    ! [X_4,Y_3] :
      ( big_g(X_4)
      | ~ big_f(X_4)
      | ~ big_s(Y_3) ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_40,plain,
    ! [Y_3] : ~ big_s(Y_3),
    inference(splitLeft,[status(thm)],[c_12]) ).

tff(c_2,plain,
    ! [Y_2,X_1] :
      ( big_q(Y_2)
      | ~ big_p(X_1) ),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_21,plain,
    ! [X_1] : ~ big_p(X_1),
    inference(splitLeft,[status(thm)],[c_2]) ).

tff(c_14,plain,
    big_p(d),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_23,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_21,c_14]) ).

tff(c_24,plain,
    ! [Y_2] : big_q(Y_2),
    inference(splitRight,[status(thm)],[c_2]) ).

tff(c_6,plain,
    ( big_s(c)
    | ~ big_q(b) ),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_19,plain,
    ~ big_q(b),
    inference(splitLeft,[status(thm)],[c_6]) ).

tff(c_27,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_19]) ).

tff(c_28,plain,
    big_s(c),
    inference(splitRight,[status(thm)],[c_6]) ).

tff(c_42,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_40,c_28]) ).

tff(c_44,plain,
    ! [X_6] :
      ( big_g(X_6)
      | ~ big_f(X_6) ),
    inference(splitRight,[status(thm)],[c_12]) ).

tff(c_18,plain,
    ~ big_g(d),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_47,plain,
    ~ big_f(d),
    inference(resolution,[status(thm)],[c_44,c_18]) ).

tff(c_51,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SYN058-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15  % 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
% 0.14/0.36  % Computer : n001.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 17:41:25 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 2.21/1.59  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.21/1.60  
% 2.21/1.60  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.63/1.63  
% 2.63/1.63  Inference rules
% 2.63/1.63  ----------------------
% 2.63/1.63  #Ref     : 0
% 2.63/1.63  #Sup     : 1
% 2.63/1.63  #Fact    : 0
% 2.63/1.63  #Define  : 0
% 2.63/1.63  #Split   : 6
% 2.63/1.63  #Chain   : 0
% 2.63/1.63  #Close   : 0
% 2.63/1.63  
% 2.63/1.63  Ordering : KBO
% 2.63/1.63  
% 2.63/1.63  Simplification rules
% 2.63/1.63  ----------------------
% 2.63/1.63  #Subsume      : 3
% 2.63/1.63  #Demod        : 6
% 2.63/1.63  #Tautology    : 2
% 2.63/1.63  #SimpNegUnit  : 3
% 2.63/1.63  #BackRed      : 4
% 2.63/1.63  
% 2.63/1.63  #Partial instantiations: 0
% 2.63/1.63  #Strategies tried      : 1
% 2.63/1.63  
% 2.63/1.63  Timing (in seconds)
% 2.63/1.63  ----------------------
% 2.63/1.63  Preprocessing        : 0.38
% 2.63/1.63  Parsing              : 0.21
% 2.63/1.63  CNF conversion       : 0.02
% 2.63/1.63  Main loop            : 0.18
% 2.63/1.63  Inferencing          : 0.07
% 2.63/1.63  Reduction            : 0.04
% 2.63/1.63  Demodulation         : 0.03
% 2.63/1.63  BG Simplification    : 0.01
% 2.63/1.63  Subsumption          : 0.04
% 2.63/1.63  Abstraction          : 0.01
% 2.63/1.63  MUC search           : 0.00
% 2.63/1.63  Cooper               : 0.00
% 2.63/1.63  Total                : 0.61
% 2.63/1.63  Index Insertion      : 0.00
% 2.63/1.63  Index Deletion       : 0.00
% 2.63/1.63  Index Matching       : 0.00
% 2.63/1.63  BG Taut test         : 0.00
%------------------------------------------------------------------------------