TSTP Solution File: PUZ047-1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ047-1 : TPTP v8.1.2. Released v2.5.0.
% 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 10:54:07 EDT 2023

% Result   : Unsatisfiable 2.10s 1.54s
% Output   : CNFRefutation 2.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   33 (  12 unt;   8 typ;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   35 (  22   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   5   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-5 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-1 aty)
%            Number of variables   :   32 (;  32   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p > #nlpp > take_wolf > take_goat > take_cabbage > go_alone > start > south > north

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

tff(f_67,axiom,
    ! [A,B,C] :
      ( p(north,A,north,B,take_goat(C))
      | ~ p(south,A,south,B,C) ),
    file(unknown,unknown) ).

tff(f_72,axiom,
    ! [A,B,C] :
      ( p(south,A,south,B,take_goat(C))
      | ~ p(north,A,north,B,C) ),
    file(unknown,unknown) ).

tff(f_95,axiom,
    ! [A] : ~ p(north,north,north,north,A),
    file(unknown,unknown) ).

tff(f_32,axiom,
    ! [A] :
      ( p(south,north,south,north,go_alone(A))
      | ~ p(north,north,south,north,A) ),
    file(unknown,unknown) ).

tff(f_47,axiom,
    ! [A] :
      ( p(north,north,south,north,take_wolf(A))
      | ~ p(south,south,south,north,A) ),
    file(unknown,unknown) ).

tff(f_87,axiom,
    ! [A] :
      ( p(north,south,north,north,take_cabbage(A))
      | ~ p(south,south,north,south,A) ),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ! [A] :
      ( p(south,south,north,south,go_alone(A))
      | ~ p(north,south,north,south,A) ),
    file(unknown,unknown) ).

tff(f_22,axiom,
    p(south,south,south,south,start),
    file(unknown,unknown) ).

tff(c_20,plain,
    ! [A_9,B_10,C_11] :
      ( ~ p(south,A_9,south,B_10,C_11)
      | p(north,A_9,north,B_10,take_goat(C_11)) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_55,plain,
    ! [A_37,B_38,C_39] :
      ( ~ p(north,A_37,north,B_38,C_39)
      | p(south,A_37,south,B_38,take_goat(C_39)) ),
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_44,plain,
    ! [A_31,B_32,C_33] :
      ( ~ p(south,A_31,south,B_32,C_33)
      | p(north,A_31,north,B_32,take_goat(C_33)) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_32,plain,
    ! [A_19] : ~ p(north,north,north,north,A_19),
    inference(cnfTransformation,[status(thm)],[f_95]) ).

tff(c_49,plain,
    ! [C_33] : ~ p(south,north,south,north,C_33),
    inference(resolution,[status(thm)],[c_44,c_32]) ).

tff(c_6,plain,
    ! [A_2] :
      ( ~ p(north,north,south,north,A_2)
      | p(south,north,south,north,go_alone(A_2)) ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_50,plain,
    ! [A_2] : ~ p(north,north,south,north,A_2),
    inference(negUnitSimplification,[status(thm)],[c_49,c_6]) ).

tff(c_12,plain,
    ! [A_5] :
      ( ~ p(south,south,south,north,A_5)
      | p(north,north,south,north,take_wolf(A_5)) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_52,plain,
    ! [A_5] : ~ p(south,south,south,north,A_5),
    inference(negUnitSimplification,[status(thm)],[c_50,c_12]) ).

tff(c_64,plain,
    ! [C_39] : ~ p(north,south,north,north,C_39),
    inference(resolution,[status(thm)],[c_55,c_52]) ).

tff(c_28,plain,
    ! [A_17] :
      ( ~ p(south,south,north,south,A_17)
      | p(north,south,north,north,take_cabbage(A_17)) ),
    inference(cnfTransformation,[status(thm)],[f_87]) ).

tff(c_66,plain,
    ! [A_17] : ~ p(south,south,north,south,A_17),
    inference(negUnitSimplification,[status(thm)],[c_64,c_28]) ).

tff(c_10,plain,
    ! [A_4] :
      ( ~ p(north,south,north,south,A_4)
      | p(south,south,north,south,go_alone(A_4)) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_83,plain,
    ! [A_43] : ~ p(north,south,north,south,A_43),
    inference(negUnitSimplification,[status(thm)],[c_66,c_10]) ).

tff(c_88,plain,
    ! [C_11] : ~ p(south,south,south,south,C_11),
    inference(resolution,[status(thm)],[c_20,c_83]) ).

tff(c_2,plain,
    p(south,south,south,south,start),
    inference(cnfTransformation,[status(thm)],[f_22]) ).

tff(c_96,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_88,c_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : PUZ047-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09  % 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
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Thu Aug  3 17:37:51 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 2.10/1.54  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.10/1.55  
% 2.10/1.55  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.10/1.59  
% 2.10/1.59  Inference rules
% 2.10/1.59  ----------------------
% 2.10/1.59  #Ref     : 0
% 2.10/1.59  #Sup     : 7
% 2.10/1.59  #Fact    : 0
% 2.10/1.59  #Define  : 0
% 2.10/1.59  #Split   : 0
% 2.10/1.59  #Chain   : 0
% 2.10/1.59  #Close   : 0
% 2.10/1.59  
% 2.10/1.59  Ordering : KBO
% 2.10/1.59  
% 2.10/1.59  Simplification rules
% 2.10/1.59  ----------------------
% 2.10/1.59  #Subsume      : 9
% 2.10/1.59  #Demod        : 0
% 2.10/1.59  #Tautology    : 0
% 2.10/1.59  #SimpNegUnit  : 7
% 2.10/1.59  #BackRed      : 6
% 2.10/1.59  
% 2.10/1.59  #Partial instantiations: 0
% 2.10/1.59  #Strategies tried      : 1
% 2.10/1.59  
% 2.10/1.59  Timing (in seconds)
% 2.10/1.59  ----------------------
% 2.10/1.59  Preprocessing        : 0.44
% 2.10/1.59  Parsing              : 0.25
% 2.10/1.59  CNF conversion       : 0.02
% 2.10/1.59  Main loop            : 0.23
% 2.10/1.59  Inferencing          : 0.10
% 2.10/1.59  Reduction            : 0.05
% 2.10/1.59  Demodulation         : 0.03
% 2.10/1.59  BG Simplification    : 0.02
% 2.10/1.59  Subsumption          : 0.06
% 2.10/1.59  Abstraction          : 0.01
% 2.10/1.59  MUC search           : 0.00
% 2.10/1.59  Cooper               : 0.00
% 2.10/1.59  Total                : 0.74
% 2.10/1.59  Index Insertion      : 0.00
% 2.10/1.59  Index Deletion       : 0.00
% 2.10/1.59  Index Matching       : 0.00
% 2.10/1.59  BG Taut test         : 0.00
%------------------------------------------------------------------------------