TSTP Solution File: SYN061-1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN061-1 : 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 : n016.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 11:09:11 EDT 2023

% Result   : Unsatisfiable 2.11s 1.57s
% Output   : CNFRefutation 2.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   20 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    7 (;   7   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ big_j > big_i > big_h > big_g > big_f > #nlpp > a

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

tff(f_36,axiom,
    big_f(a),
    file(unknown,unknown) ).

tff(f_35,axiom,
    big_i(a),
    file(unknown,unknown) ).

tff(f_40,axiom,
    ! [X] :
      ( big_h(X)
      | big_j(X) ),
    file(unknown,unknown) ).

tff(f_46,axiom,
    ! [X] :
      ( ~ big_i(X)
      | ~ big_j(X) ),
    file(unknown,unknown) ).

tff(f_34,axiom,
    ! [X] :
      ( ~ big_f(X)
      | ~ big_h(X) ),
    file(unknown,unknown) ).

tff(c_8,plain,
    big_f(a),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_6,plain,
    big_i(a),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_10,plain,
    ! [X_3] :
      ( big_j(X_3)
      | big_h(X_3) ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_15,plain,
    ! [X_7] :
      ( ~ big_j(X_7)
      | ~ big_i(X_7) ),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_21,plain,
    ! [X_9] :
      ( ~ big_i(X_9)
      | big_h(X_9) ),
    inference(resolution,[status(thm)],[c_10,c_15]) ).

tff(c_25,plain,
    big_h(a),
    inference(resolution,[status(thm)],[c_6,c_21]) ).

tff(c_4,plain,
    ! [X_2] :
      ( ~ big_h(X_2)
      | ~ big_f(X_2) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_28,plain,
    ~ big_f(a),
    inference(resolution,[status(thm)],[c_25,c_4]) ).

tff(c_32,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN061-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n016.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 17:36:23 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.11/1.57  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.11/1.58  
% 2.11/1.58  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.11/1.60  
% 2.11/1.60  Inference rules
% 2.11/1.60  ----------------------
% 2.11/1.60  #Ref     : 0
% 2.11/1.60  #Sup     : 3
% 2.11/1.60  #Fact    : 0
% 2.11/1.60  #Define  : 0
% 2.11/1.60  #Split   : 0
% 2.11/1.60  #Chain   : 0
% 2.11/1.60  #Close   : 0
% 2.11/1.60  
% 2.11/1.60  Ordering : KBO
% 2.11/1.60  
% 2.11/1.60  Simplification rules
% 2.11/1.60  ----------------------
% 2.11/1.60  #Subsume      : 0
% 2.11/1.60  #Demod        : 1
% 2.11/1.60  #Tautology    : 0
% 2.11/1.60  #SimpNegUnit  : 0
% 2.11/1.60  #BackRed      : 0
% 2.11/1.60  
% 2.11/1.60  #Partial instantiations: 0
% 2.11/1.60  #Strategies tried      : 1
% 2.11/1.60  
% 2.11/1.60  Timing (in seconds)
% 2.11/1.60  ----------------------
% 2.11/1.61  Preprocessing        : 0.38
% 2.11/1.61  Parsing              : 0.21
% 2.11/1.61  CNF conversion       : 0.02
% 2.11/1.61  Main loop            : 0.16
% 2.11/1.61  Inferencing          : 0.09
% 2.11/1.61  Reduction            : 0.03
% 2.11/1.61  Demodulation         : 0.02
% 2.11/1.61  BG Simplification    : 0.01
% 2.11/1.61  Subsumption          : 0.02
% 2.11/1.61  Abstraction          : 0.00
% 2.11/1.61  MUC search           : 0.00
% 2.11/1.61  Cooper               : 0.00
% 2.11/1.61  Total                : 0.59
% 2.11/1.61  Index Insertion      : 0.00
% 2.11/1.61  Index Deletion       : 0.00
% 2.11/1.61  Index Matching       : 0.00
% 2.11/1.61  BG Taut test         : 0.00
%------------------------------------------------------------------------------