TSTP Solution File: PUZ013-1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ013-1 : 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 : n023.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 10:53:57 EDT 2023

% Result   : Unsatisfiable 2.56s 1.58s
% Output   : CNFRefutation 2.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   36 (  12 unt;  13 typ;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  21   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  13 usr;  14 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp > some_welsh_eat_not > some_welsh_eat > some_scotch_dance_not > some_scotch_dance > some_of_the_eleven_are_not_oiling > some_monitors_are_not_awake > some_monitors_are_awake > some_irish_fight_not > some_irish_fight > some_germans_play_not > some_germans_play > some_english_sing_not > some_english_sing

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_164,axiom,
    ~ some_monitors_are_awake,
    file(unknown,unknown) ).

tff(f_161,axiom,
    some_english_sing,
    file(unknown,unknown) ).

tff(f_162,axiom,
    some_scotch_dance_not,
    file(unknown,unknown) ).

tff(f_148,axiom,
    ( some_monitors_are_not_awake
    | some_monitors_are_awake ),
    file(unknown,unknown) ).

tff(f_135,axiom,
    ( ~ some_english_sing
    | ~ some_monitors_are_not_awake
    | some_irish_fight_not ),
    file(unknown,unknown) ).

tff(f_102,axiom,
    ( ~ some_scotch_dance_not
    | ~ some_irish_fight_not
    | some_germans_play ),
    file(unknown,unknown) ).

tff(f_128,axiom,
    ( ~ some_english_sing
    | some_english_sing_not
    | ~ some_scotch_dance_not
    | ~ some_germans_play ),
    file(unknown,unknown) ).

tff(f_69,axiom,
    ( ~ some_english_sing
    | ~ some_english_sing_not
    | some_monitors_are_awake ),
    file(unknown,unknown) ).

tff(c_40,plain,
    ~ some_monitors_are_awake,
    inference(cnfTransformation,[status(thm)],[f_164]) ).

tff(c_36,plain,
    some_english_sing,
    inference(cnfTransformation,[status(thm)],[f_161]) ).

tff(c_38,plain,
    some_scotch_dance_not,
    inference(cnfTransformation,[status(thm)],[f_162]) ).

tff(c_26,plain,
    ( some_monitors_are_awake
    | some_monitors_are_not_awake ),
    inference(cnfTransformation,[status(thm)],[f_148]) ).

tff(c_42,plain,
    some_monitors_are_not_awake,
    inference(negUnitSimplification,[status(thm)],[c_40,c_26]) ).

tff(c_20,plain,
    ( some_irish_fight_not
    | ~ some_monitors_are_not_awake
    | ~ some_english_sing ),
    inference(cnfTransformation,[status(thm)],[f_135]) ).

tff(c_45,plain,
    some_irish_fight_not,
    inference(demodulation,[status(thm),theory(equality)],[c_36,c_42,c_20]) ).

tff(c_12,plain,
    ( some_germans_play
    | ~ some_irish_fight_not
    | ~ some_scotch_dance_not ),
    inference(cnfTransformation,[status(thm)],[f_102]) ).

tff(c_50,plain,
    some_germans_play,
    inference(demodulation,[status(thm),theory(equality)],[c_38,c_45,c_12]) ).

tff(c_18,plain,
    ( ~ some_germans_play
    | ~ some_scotch_dance_not
    | some_english_sing_not
    | ~ some_english_sing ),
    inference(cnfTransformation,[status(thm)],[f_128]) ).

tff(c_48,plain,
    ( ~ some_germans_play
    | some_english_sing_not ),
    inference(demodulation,[status(thm),theory(equality)],[c_36,c_38,c_18]) ).

tff(c_53,plain,
    some_english_sing_not,
    inference(demodulation,[status(thm),theory(equality)],[c_50,c_48]) ).

tff(c_2,plain,
    ( some_monitors_are_awake
    | ~ some_english_sing_not
    | ~ some_english_sing ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_61,plain,
    some_monitors_are_awake,
    inference(demodulation,[status(thm),theory(equality)],[c_36,c_53,c_2]) ).

tff(c_62,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_40,c_61]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : PUZ013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14  % 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
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 17:54:22 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 2.56/1.58  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.56/1.59  
% 2.56/1.59  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.64/1.62  
% 2.64/1.62  Inference rules
% 2.64/1.62  ----------------------
% 2.64/1.62  #Ref     : 0
% 2.64/1.62  #Sup     : 0
% 2.64/1.62  #Fact    : 0
% 2.64/1.62  #Define  : 0
% 2.64/1.62  #Split   : 0
% 2.64/1.62  #Chain   : 0
% 2.64/1.62  #Close   : 0
% 2.64/1.62  
% 2.64/1.62  Ordering : KBO
% 2.64/1.62  
% 2.64/1.62  Simplification rules
% 2.64/1.62  ----------------------
% 2.64/1.62  #Subsume      : 15
% 2.64/1.62  #Demod        : 16
% 2.64/1.62  #Tautology    : 4
% 2.64/1.62  #SimpNegUnit  : 2
% 2.64/1.62  #BackRed      : 0
% 2.64/1.62  
% 2.64/1.62  #Partial instantiations: 0
% 2.64/1.62  #Strategies tried      : 1
% 2.64/1.62  
% 2.64/1.62  Timing (in seconds)
% 2.64/1.62  ----------------------
% 2.64/1.63  Preprocessing        : 0.40
% 2.64/1.63  Parsing              : 0.21
% 2.64/1.63  CNF conversion       : 0.02
% 2.64/1.63  Main loop            : 0.09
% 2.64/1.63  Inferencing          : 0.00
% 2.64/1.63  Reduction            : 0.04
% 2.64/1.63  Demodulation         : 0.03
% 2.64/1.63  BG Simplification    : 0.02
% 2.64/1.63  Subsumption          : 0.03
% 2.64/1.63  Abstraction          : 0.01
% 2.64/1.63  MUC search           : 0.00
% 2.64/1.63  Cooper               : 0.00
% 2.64/1.63  Total                : 0.55
% 2.64/1.63  Index Insertion      : 0.00
% 2.64/1.63  Index Deletion       : 0.00
% 2.64/1.63  Index Matching       : 0.00
% 2.64/1.63  BG Taut test         : 0.00
%------------------------------------------------------------------------------