TSTP Solution File: PUZ001-1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ001-1 : 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 : n010.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 10:53:48 EDT 2023

% Result   : Unsatisfiable 2.62s 1.67s
% Output   : CNFRefutation 2.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   38 (  14 unt;   7 typ;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   50 (  27   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   17 (;  17   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ richer > killed > hates > lives > #nlpp > charles > butler > agatha

%Foreground sorts:

%Background operators:

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

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

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

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

tff(richer,type,
    richer: ( $i * $i ) > $o ).

tff(hates,type,
    hates: ( $i * $i ) > $o ).

tff(killed,type,
    killed: ( $i * $i ) > $o ).

tff(f_58,axiom,
    hates(agatha,agatha),
    file(unknown,unknown) ).

tff(f_59,axiom,
    hates(agatha,charles),
    file(unknown,unknown) ).

tff(f_80,axiom,
    ( killed(butler,agatha)
    | killed(charles,agatha) ),
    file(unknown,unknown) ).

tff(f_64,axiom,
    ! [X,Y] :
      ( ~ killed(X,Y)
      | hates(X,Y) ),
    file(unknown,unknown) ).

tff(f_35,axiom,
    lives(butler),
    file(unknown,unknown) ).

tff(f_76,axiom,
    ! [X] :
      ( ~ lives(X)
      | richer(X,agatha)
      | hates(butler,X) ),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ! [X,Y] :
      ( ~ killed(X,Y)
      | ~ richer(X,Y) ),
    file(unknown,unknown) ).

tff(f_69,axiom,
    ! [X] :
      ( ~ hates(agatha,X)
      | hates(butler,X) ),
    file(unknown,unknown) ).

tff(f_57,axiom,
    ! [X] :
      ( ~ hates(X,agatha)
      | ~ hates(X,butler)
      | ~ hates(X,charles) ),
    file(unknown,unknown) ).

tff(f_48,axiom,
    ! [X] :
      ( ~ hates(agatha,X)
      | ~ hates(charles,X) ),
    file(unknown,unknown) ).

tff(c_14,plain,
    hates(agatha,agatha),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_16,plain,
    hates(agatha,charles),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_24,plain,
    ( killed(charles,agatha)
    | killed(butler,agatha) ),
    inference(cnfTransformation,[status(thm)],[f_80]) ).

tff(c_28,plain,
    killed(butler,agatha),
    inference(splitLeft,[status(thm)],[c_24]) ).

tff(c_18,plain,
    ! [X_5,Y_6] :
      ( hates(X_5,Y_6)
      | ~ killed(X_5,Y_6) ),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_33,plain,
    hates(butler,agatha),
    inference(resolution,[status(thm)],[c_28,c_18]) ).

tff(c_4,plain,
    lives(butler),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_34,plain,
    ! [X_15] :
      ( hates(butler,X_15)
      | richer(X_15,agatha)
      | ~ lives(X_15) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_8,plain,
    ! [X_1,Y_2] :
      ( ~ richer(X_1,Y_2)
      | ~ killed(X_1,Y_2) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_39,plain,
    ! [X_16] :
      ( ~ killed(X_16,agatha)
      | hates(butler,X_16)
      | ~ lives(X_16) ),
    inference(resolution,[status(thm)],[c_34,c_8]) ).

tff(c_42,plain,
    ( hates(butler,butler)
    | ~ lives(butler) ),
    inference(resolution,[status(thm)],[c_28,c_39]) ).

tff(c_45,plain,
    hates(butler,butler),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_42]) ).

tff(c_20,plain,
    ! [X_7] :
      ( hates(butler,X_7)
      | ~ hates(agatha,X_7) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_46,plain,
    ! [X_17] :
      ( ~ hates(X_17,charles)
      | ~ hates(X_17,butler)
      | ~ hates(X_17,agatha) ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_50,plain,
    ( ~ hates(butler,butler)
    | ~ hates(butler,agatha)
    | ~ hates(agatha,charles) ),
    inference(resolution,[status(thm)],[c_20,c_46]) ).

tff(c_57,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_33,c_45,c_50]) ).

tff(c_58,plain,
    killed(charles,agatha),
    inference(splitRight,[status(thm)],[c_24]) ).

tff(c_63,plain,
    hates(charles,agatha),
    inference(resolution,[status(thm)],[c_58,c_18]) ).

tff(c_10,plain,
    ! [X_3] :
      ( ~ hates(charles,X_3)
      | ~ hates(agatha,X_3) ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_66,plain,
    ~ hates(agatha,agatha),
    inference(resolution,[status(thm)],[c_63,c_10]) ).

tff(c_70,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PUZ001-1 : 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 : n010.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 17:25:59 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.62/1.67  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.62/1.67  
% 2.62/1.67  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.91/1.70  
% 2.91/1.70  Inference rules
% 2.91/1.70  ----------------------
% 2.91/1.70  #Ref     : 0
% 2.91/1.70  #Sup     : 7
% 2.91/1.70  #Fact    : 0
% 2.91/1.70  #Define  : 0
% 2.91/1.70  #Split   : 1
% 2.91/1.70  #Chain   : 0
% 2.91/1.70  #Close   : 0
% 2.91/1.70  
% 2.91/1.70  Ordering : KBO
% 2.91/1.70  
% 2.91/1.70  Simplification rules
% 2.91/1.70  ----------------------
% 2.91/1.70  #Subsume      : 0
% 2.91/1.70  #Demod        : 5
% 2.91/1.70  #Tautology    : 0
% 2.91/1.70  #SimpNegUnit  : 0
% 2.91/1.70  #BackRed      : 0
% 2.91/1.70  
% 2.91/1.70  #Partial instantiations: 0
% 2.91/1.70  #Strategies tried      : 1
% 2.91/1.70  
% 2.91/1.70  Timing (in seconds)
% 2.91/1.70  ----------------------
% 2.91/1.71  Preprocessing        : 0.42
% 2.91/1.71  Parsing              : 0.23
% 2.91/1.71  CNF conversion       : 0.02
% 2.91/1.71  Main loop            : 0.22
% 2.91/1.71  Inferencing          : 0.10
% 2.91/1.71  Reduction            : 0.05
% 2.91/1.71  Demodulation         : 0.03
% 2.91/1.71  BG Simplification    : 0.02
% 2.91/1.71  Subsumption          : 0.04
% 2.91/1.71  Abstraction          : 0.01
% 2.91/1.71  MUC search           : 0.00
% 2.91/1.71  Cooper               : 0.00
% 2.91/1.71  Total                : 0.69
% 2.91/1.71  Index Insertion      : 0.00
% 2.91/1.71  Index Deletion       : 0.00
% 2.91/1.71  Index Matching       : 0.00
% 2.91/1.71  BG Taut test         : 0.00
%------------------------------------------------------------------------------