TSTP Solution File: SYN060+1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN060+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n026.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   : Theorem 2.59s 1.63s
% Output   : CNFRefutation 2.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   6 unt;   5 typ;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   7   ~;   4   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    6 (;   6   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ big_i > big_h > big_g > big_f > #nlpp > #skF_1

%Foreground sorts:

%Background operators:

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

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

tff('#skF_1',type,
    '#skF_1': $i ).

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

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

tff(f_42,axiom,
    ! [X] :
      ( ( big_g(X)
       => ~ big_i(X) )
     => ( big_f(X)
        & big_h(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel30_2) ).

tff(f_45,negated_conjecture,
    ~ ! [X] : big_i(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel30) ).

tff(f_33,axiom,
    ! [X] :
      ( ( big_f(X)
        | big_g(X) )
     => ~ big_h(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel30_1) ).

tff(c_17,plain,
    ! [X_5] :
      ( big_i(X_5)
      | big_h(X_5) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_14,plain,
    ~ big_i('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_21,plain,
    big_h('#skF_1'),
    inference(resolution,[status(thm)],[c_17,c_14]) ).

tff(c_4,plain,
    ! [X_1] :
      ( ~ big_f(X_1)
      | ~ big_h(X_1) ),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_28,plain,
    ~ big_f('#skF_1'),
    inference(resolution,[status(thm)],[c_21,c_4]) ).

tff(c_39,plain,
    ! [X_7] :
      ( big_i(X_7)
      | big_f(X_7) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_42,plain,
    big_f('#skF_1'),
    inference(resolution,[status(thm)],[c_39,c_14]) ).

tff(c_46,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_28,c_42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN060+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % 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
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Thu Aug  3 17:47:32 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 2.59/1.63  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.59/1.63  
% 2.59/1.63  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.76/1.66  
% 2.76/1.66  Inference rules
% 2.76/1.66  ----------------------
% 2.76/1.66  #Ref     : 0
% 2.76/1.66  #Sup     : 6
% 2.76/1.66  #Fact    : 0
% 2.76/1.66  #Define  : 0
% 2.76/1.66  #Split   : 0
% 2.76/1.66  #Chain   : 0
% 2.76/1.66  #Close   : 0
% 2.76/1.66  
% 2.76/1.66  Ordering : KBO
% 2.76/1.66  
% 2.76/1.66  Simplification rules
% 2.76/1.66  ----------------------
% 2.76/1.66  #Subsume      : 0
% 2.76/1.66  #Demod        : 0
% 2.76/1.66  #Tautology    : 1
% 2.76/1.66  #SimpNegUnit  : 1
% 2.76/1.66  #BackRed      : 0
% 2.76/1.66  
% 2.76/1.66  #Partial instantiations: 0
% 2.76/1.66  #Strategies tried      : 1
% 2.76/1.66  
% 2.76/1.66  Timing (in seconds)
% 2.76/1.66  ----------------------
% 2.76/1.66  Preprocessing        : 0.42
% 2.76/1.66  Parsing              : 0.24
% 2.76/1.66  CNF conversion       : 0.02
% 2.76/1.66  Main loop            : 0.16
% 2.76/1.66  Inferencing          : 0.09
% 2.76/1.66  Reduction            : 0.02
% 2.76/1.66  Demodulation         : 0.01
% 2.76/1.66  BG Simplification    : 0.01
% 2.76/1.66  Subsumption          : 0.03
% 2.76/1.66  Abstraction          : 0.00
% 2.76/1.66  MUC search           : 0.00
% 2.76/1.66  Cooper               : 0.00
% 2.76/1.66  Total                : 0.62
% 2.76/1.66  Index Insertion      : 0.00
% 2.76/1.66  Index Deletion       : 0.00
% 2.76/1.66  Index Matching       : 0.00
% 2.76/1.66  BG Taut test         : 0.00
%------------------------------------------------------------------------------