TSTP Solution File: MSC011+1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MSC011+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n008.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 10:49:49 EDT 2023

% Result   : Theorem 1.98s 1.43s
% Output   : CNFRefutation 1.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   7   ~;   4   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    7 (;   6   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ not_drunk > drunk > #nlpp > neg_psi > goal > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(neg_psi,type,
    neg_psi: $o ).

tff(goal,type,
    goal: $o ).

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

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

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

tff(f_40,negated_conjecture,
    ~ goal,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).

tff(f_34,axiom,
    ! [A] :
      ( drunk(A)
      & neg_psi ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neg_phi) ).

tff(f_30,axiom,
    ! [A] :
      ( ( drunk(A)
        & not_drunk(A) )
     => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_cons) ).

tff(f_38,axiom,
    ( neg_psi
   => ? [A] : not_drunk(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neg_psi_ax) ).

tff(c_10,plain,
    ~ goal,
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_4,plain,
    ! [A_2] : drunk(A_2),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_2,plain,
    ! [A_1] :
      ( goal
      | ~ not_drunk(A_1)
      | ~ drunk(A_1) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_14,plain,
    ! [A_1] :
      ( goal
      | ~ not_drunk(A_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).

tff(c_15,plain,
    ! [A_1] : ~ not_drunk(A_1),
    inference(negUnitSimplification,[status(thm)],[c_10,c_14]) ).

tff(c_6,plain,
    neg_psi,
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_8,plain,
    ( not_drunk('#skF_1')
    | ~ neg_psi ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_12,plain,
    not_drunk('#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_8]) ).

tff(c_16,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_15,c_12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MSC011+1 : TPTP v8.1.2. Released v3.2.0.
% 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
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 13:11:49 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 1.98/1.43  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.98/1.43  
% 1.98/1.43  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.98/1.47  
% 1.98/1.47  Inference rules
% 1.98/1.47  ----------------------
% 1.98/1.47  #Ref     : 0
% 1.98/1.47  #Sup     : 0
% 1.98/1.47  #Fact    : 0
% 1.98/1.47  #Define  : 0
% 1.98/1.47  #Split   : 0
% 1.98/1.47  #Chain   : 0
% 1.98/1.47  #Close   : 0
% 1.98/1.47  
% 1.98/1.47  Ordering : KBO
% 1.98/1.47  
% 1.98/1.47  Simplification rules
% 1.98/1.47  ----------------------
% 1.98/1.47  #Subsume      : 4
% 1.98/1.47  #Demod        : 2
% 1.98/1.47  #Tautology    : 0
% 1.98/1.47  #SimpNegUnit  : 2
% 1.98/1.47  #BackRed      : 0
% 1.98/1.47  
% 1.98/1.47  #Partial instantiations: 0
% 1.98/1.47  #Strategies tried      : 1
% 1.98/1.47  
% 1.98/1.47  Timing (in seconds)
% 1.98/1.47  ----------------------
% 1.98/1.48  Preprocessing        : 0.36
% 1.98/1.48  Parsing              : 0.21
% 1.98/1.48  CNF conversion       : 0.02
% 1.98/1.48  Main loop            : 0.06
% 1.98/1.48  Inferencing          : 0.00
% 1.98/1.48  Reduction            : 0.03
% 1.98/1.48  Demodulation         : 0.02
% 1.98/1.48  BG Simplification    : 0.01
% 1.98/1.48  Subsumption          : 0.02
% 1.98/1.48  Abstraction          : 0.00
% 1.98/1.48  MUC search           : 0.00
% 1.98/1.48  Cooper               : 0.00
% 1.98/1.48  Total                : 0.48
% 1.98/1.48  Index Insertion      : 0.00
% 1.98/1.48  Index Deletion       : 0.00
% 1.98/1.48  Index Matching       : 0.00
% 1.98/1.48  BG Taut test         : 0.00
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