TSTP Solution File: PUZ008-2 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ008-2 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n032.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 10:53:50 EDT 2023

% Result   : Unsatisfiable 2.56s 1.64s
% Output   : CNFRefutation 3.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   49 (  16 unt;  11 typ;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   48 (  26   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   5   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ banks > west > east > #nlpp > m > c > n3 > n2 > n1 > n0 > boatonwest > boatoneast

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(west,type,
    west: ( $i * $i ) > $i ).

tff(east,type,
    east: ( $i * $i ) > $i ).

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

tff(c,type,
    c: $i > $i ).

tff(n3,type,
    n3: $i ).

tff(n1,type,
    n1: $i ).

tff(n0,type,
    n0: $i ).

tff(m,type,
    m: $i > $i ).

tff(n2,type,
    n2: $i ).

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

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

tff(f_157,axiom,
    ~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
    file(unknown,unknown) ).

tff(f_144,axiom,
    ( ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest)
    | banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) ),
    file(unknown,unknown) ).

tff(f_119,axiom,
    ( ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
    | banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest) ),
    file(unknown,unknown) ).

tff(f_155,axiom,
    banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest),
    file(unknown,unknown) ).

tff(f_136,axiom,
    ( ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)
    | banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast) ),
    file(unknown,unknown) ).

tff(f_123,axiom,
    ( ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast)
    | banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
    file(unknown,unknown) ).

tff(f_60,axiom,
    ( ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
    | banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
    file(unknown,unknown) ).

tff(f_77,axiom,
    ( ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
    | banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
    file(unknown,unknown) ).

tff(f_110,axiom,
    ( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
    | banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
    file(unknown,unknown) ).

tff(f_149,axiom,
    ( ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
    | banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
    file(unknown,unknown) ).

tff(f_114,axiom,
    ( ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
    | banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
    file(unknown,unknown) ).

tff(f_69,axiom,
    ( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
    | banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ( ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
    | banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
    file(unknown,unknown) ).

tff(c_64,plain,
    ~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
    inference(cnfTransformation,[status(thm)],[f_157]) ).

tff(c_56,plain,
    ( banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast)
    | ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest) ),
    inference(cnfTransformation,[status(thm)],[f_144]) ).

tff(c_66,plain,
    ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest),
    inference(negUnitSimplification,[status(thm)],[c_64,c_56]) ).

tff(c_44,plain,
    ( banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatonwest)
    | ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
    inference(cnfTransformation,[status(thm)],[f_119]) ).

tff(c_71,plain,
    ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast),
    inference(negUnitSimplification,[status(thm)],[c_66,c_44]) ).

tff(c_62,plain,
    banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest),
    inference(cnfTransformation,[status(thm)],[f_155]) ).

tff(c_52,plain,
    ( banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast)
    | ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest) ),
    inference(cnfTransformation,[status(thm)],[f_136]) ).

tff(c_68,plain,
    banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast),
    inference(demodulation,[status(thm),theory(equality)],[c_62,c_52]) ).

tff(c_46,plain,
    ( banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
    | ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatoneast) ),
    inference(cnfTransformation,[status(thm)],[f_123]) ).

tff(c_70,plain,
    banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest),
    inference(demodulation,[status(thm),theory(equality)],[c_68,c_46]) ).

tff(c_16,plain,
    ( banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
    | ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_81,plain,
    banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast),
    inference(demodulation,[status(thm),theory(equality)],[c_70,c_16]) ).

tff(c_24,plain,
    ( banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
    | ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_83,plain,
    banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest),
    inference(demodulation,[status(thm),theory(equality)],[c_81,c_24]) ).

tff(c_40,plain,
    ( banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
    | ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
    inference(cnfTransformation,[status(thm)],[f_110]) ).

tff(c_85,plain,
    banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast),
    inference(demodulation,[status(thm),theory(equality)],[c_83,c_40]) ).

tff(c_58,plain,
    ( banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
    | ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
    inference(cnfTransformation,[status(thm)],[f_149]) ).

tff(c_89,plain,
    banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest),
    inference(demodulation,[status(thm),theory(equality)],[c_85,c_58]) ).

tff(c_42,plain,
    ( banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
    | ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
    inference(cnfTransformation,[status(thm)],[f_114]) ).

tff(c_92,plain,
    banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast),
    inference(demodulation,[status(thm),theory(equality)],[c_89,c_42]) ).

tff(c_20,plain,
    ( banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
    | ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_94,plain,
    banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest),
    inference(demodulation,[status(thm),theory(equality)],[c_92,c_20]) ).

tff(c_14,plain,
    ( banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
    | ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_96,plain,
    banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast),
    inference(demodulation,[status(thm),theory(equality)],[c_94,c_14]) ).

tff(c_97,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_71,c_96]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : PUZ008-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.30  % Computer : n032.cluster.edu
% 0.12/0.30  % Model    : x86_64 x86_64
% 0.12/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30  % Memory   : 8042.1875MB
% 0.12/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30  % CPULimit : 300
% 0.12/0.30  % WCLimit  : 300
% 0.12/0.30  % DateTime : Thu Aug  3 17:38:06 EDT 2023
% 0.12/0.30  % CPUTime  : 
% 2.56/1.64  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/1.65  
% 2.56/1.65  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.17/1.69  
% 3.17/1.69  Inference rules
% 3.17/1.69  ----------------------
% 3.17/1.69  #Ref     : 0
% 3.17/1.69  #Sup     : 0
% 3.17/1.69  #Fact    : 0
% 3.17/1.69  #Define  : 0
% 3.17/1.69  #Split   : 0
% 3.17/1.69  #Chain   : 0
% 3.17/1.69  #Close   : 0
% 3.17/1.69  
% 3.17/1.69  Ordering : KBO
% 3.17/1.69  
% 3.17/1.69  Simplification rules
% 3.17/1.69  ----------------------
% 3.17/1.69  #Subsume      : 22
% 3.17/1.69  #Demod        : 19
% 3.17/1.69  #Tautology    : 9
% 3.17/1.69  #SimpNegUnit  : 5
% 3.17/1.69  #BackRed      : 0
% 3.17/1.69  
% 3.17/1.69  #Partial instantiations: 0
% 3.17/1.69  #Strategies tried      : 1
% 3.17/1.69  
% 3.17/1.69  Timing (in seconds)
% 3.17/1.69  ----------------------
% 3.17/1.70  Preprocessing        : 0.58
% 3.17/1.70  Parsing              : 0.30
% 3.17/1.70  CNF conversion       : 0.02
% 3.17/1.70  Main loop            : 0.14
% 3.17/1.70  Inferencing          : 0.00
% 3.17/1.70  Reduction            : 0.07
% 3.17/1.70  Demodulation         : 0.06
% 3.17/1.70  BG Simplification    : 0.02
% 3.17/1.70  Subsumption          : 0.05
% 3.17/1.70  Abstraction          : 0.01
% 3.17/1.70  MUC search           : 0.00
% 3.17/1.70  Cooper               : 0.00
% 3.17/1.70  Total                : 0.79
% 3.17/1.70  Index Insertion      : 0.00
% 3.17/1.70  Index Deletion       : 0.00
% 3.17/1.70  Index Matching       : 0.00
% 3.17/1.70  BG Taut test         : 0.00
%------------------------------------------------------------------------------