TSTP Solution File: PUZ002-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ002-1 : 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 : n026.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 10:53:49 EDT 2023

% Result   : Unsatisfiable 2.72s 1.64s
% Output   : CNFRefutation 2.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   47 (   8 unt;  12 typ;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   55 (  28   ~;  27   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   27 (;  27   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ takes_to_me > suitable_pet > prowler > mouse_killer > kangaroo > in_house > gazer > detested > cat > carnivore > avoided > #nlpp > the_kangaroo

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_85,axiom,
    ~ avoided(the_kangaroo),
    file(unknown,unknown) ).

tff(f_77,axiom,
    ! [Animal] :
      ( takes_to_me(Animal)
      | detested(Animal) ),
    file(unknown,unknown) ).

tff(f_62,axiom,
    ! [Taken_animal] :
      ( ~ takes_to_me(Taken_animal)
      | in_house(Taken_animal) ),
    file(unknown,unknown) ).

tff(f_37,axiom,
    ! [Cat] :
      ( ~ in_house(Cat)
      | cat(Cat) ),
    file(unknown,unknown) ).

tff(f_47,axiom,
    ! [Detested] :
      ( ~ detested(Detested)
      | avoided(Detested) ),
    file(unknown,unknown) ).

tff(f_57,axiom,
    ! [Cat] :
      ( ~ cat(Cat)
      | mouse_killer(Cat) ),
    file(unknown,unknown) ).

tff(f_73,axiom,
    ! [Killer] :
      ( ~ mouse_killer(Killer)
      | carnivore(Killer) ),
    file(unknown,unknown) ).

tff(f_52,axiom,
    ! [Carnivore] :
      ( ~ carnivore(Carnivore)
      | prowler(Carnivore) ),
    file(unknown,unknown) ).

tff(f_82,axiom,
    ! [Prowler] :
      ( ~ prowler(Prowler)
      | gazer(Prowler) ),
    file(unknown,unknown) ).

tff(f_83,axiom,
    kangaroo(the_kangaroo),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ! [Gazer] :
      ( ~ gazer(Gazer)
      | suitable_pet(Gazer) ),
    file(unknown,unknown) ).

tff(f_68,axiom,
    ! [Kangaroo] :
      ( ~ kangaroo(Kangaroo)
      | ~ suitable_pet(Kangaroo) ),
    file(unknown,unknown) ).

tff(c_24,plain,
    ~ avoided(the_kangaroo),
    inference(cnfTransformation,[status(thm)],[f_85]) ).

tff(c_41,plain,
    ! [Animal_19] :
      ( detested(Animal_19)
      | takes_to_me(Animal_19) ),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_12,plain,
    ! [Taken_animal_6] :
      ( in_house(Taken_animal_6)
      | ~ takes_to_me(Taken_animal_6) ),
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_51,plain,
    ! [Animal_21] :
      ( in_house(Animal_21)
      | detested(Animal_21) ),
    inference(resolution,[status(thm)],[c_41,c_12]) ).

tff(c_2,plain,
    ! [Cat_1] :
      ( cat(Cat_1)
      | ~ in_house(Cat_1) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_67,plain,
    ! [Animal_25] :
      ( cat(Animal_25)
      | detested(Animal_25) ),
    inference(resolution,[status(thm)],[c_51,c_2]) ).

tff(c_6,plain,
    ! [Detested_3] :
      ( avoided(Detested_3)
      | ~ detested(Detested_3) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_72,plain,
    ! [Animal_26] :
      ( avoided(Animal_26)
      | cat(Animal_26) ),
    inference(resolution,[status(thm)],[c_67,c_6]) ).

tff(c_10,plain,
    ! [Cat_5] :
      ( mouse_killer(Cat_5)
      | ~ cat(Cat_5) ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_36,plain,
    ! [Killer_18] :
      ( carnivore(Killer_18)
      | ~ mouse_killer(Killer_18) ),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_40,plain,
    ! [Cat_5] :
      ( carnivore(Cat_5)
      | ~ cat(Cat_5) ),
    inference(resolution,[status(thm)],[c_10,c_36]) ).

tff(c_77,plain,
    ! [Animal_27] :
      ( carnivore(Animal_27)
      | avoided(Animal_27) ),
    inference(resolution,[status(thm)],[c_72,c_40]) ).

tff(c_8,plain,
    ! [Carnivore_4] :
      ( prowler(Carnivore_4)
      | ~ carnivore(Carnivore_4) ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_46,plain,
    ! [Prowler_20] :
      ( gazer(Prowler_20)
      | ~ prowler(Prowler_20) ),
    inference(cnfTransformation,[status(thm)],[f_82]) ).

tff(c_50,plain,
    ! [Carnivore_4] :
      ( gazer(Carnivore_4)
      | ~ carnivore(Carnivore_4) ),
    inference(resolution,[status(thm)],[c_8,c_46]) ).

tff(c_22,plain,
    kangaroo(the_kangaroo),
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_4,plain,
    ! [Gazer_2] :
      ( suitable_pet(Gazer_2)
      | ~ gazer(Gazer_2) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_31,plain,
    ! [Kangaroo_17] :
      ( ~ suitable_pet(Kangaroo_17)
      | ~ kangaroo(Kangaroo_17) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_57,plain,
    ! [Gazer_23] :
      ( ~ kangaroo(Gazer_23)
      | ~ gazer(Gazer_23) ),
    inference(resolution,[status(thm)],[c_4,c_31]) ).

tff(c_61,plain,
    ~ gazer(the_kangaroo),
    inference(resolution,[status(thm)],[c_22,c_57]) ).

tff(c_66,plain,
    ~ carnivore(the_kangaroo),
    inference(resolution,[status(thm)],[c_50,c_61]) ).

tff(c_80,plain,
    avoided(the_kangaroo),
    inference(resolution,[status(thm)],[c_77,c_66]) ).

tff(c_84,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_24,c_80]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ002-1 : TPTP v8.1.2. Released v1.0.0.
% 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
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug  3 17:54:47 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.72/1.64  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.72/1.64  
% 2.72/1.64  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.72/1.67  
% 2.72/1.67  Inference rules
% 2.72/1.67  ----------------------
% 2.72/1.67  #Ref     : 0
% 2.72/1.67  #Sup     : 10
% 2.72/1.67  #Fact    : 0
% 2.72/1.67  #Define  : 0
% 2.72/1.67  #Split   : 0
% 2.72/1.67  #Chain   : 0
% 2.72/1.67  #Close   : 0
% 2.72/1.67  
% 2.72/1.67  Ordering : KBO
% 2.72/1.67  
% 2.72/1.67  Simplification rules
% 2.72/1.67  ----------------------
% 2.72/1.67  #Subsume      : 0
% 2.72/1.67  #Demod        : 0
% 2.72/1.67  #Tautology    : 0
% 2.72/1.67  #SimpNegUnit  : 1
% 2.72/1.67  #BackRed      : 0
% 2.72/1.67  
% 2.72/1.67  #Partial instantiations: 0
% 2.72/1.67  #Strategies tried      : 1
% 2.72/1.67  
% 2.72/1.67  Timing (in seconds)
% 2.72/1.67  ----------------------
% 2.72/1.67  Preprocessing        : 0.41
% 2.72/1.67  Parsing              : 0.23
% 2.72/1.67  CNF conversion       : 0.02
% 2.72/1.67  Main loop            : 0.21
% 2.72/1.67  Inferencing          : 0.11
% 2.72/1.67  Reduction            : 0.04
% 2.72/1.67  Demodulation         : 0.03
% 2.72/1.67  BG Simplification    : 0.02
% 2.72/1.67  Subsumption          : 0.03
% 2.72/1.68  Abstraction          : 0.01
% 2.72/1.68  MUC search           : 0.00
% 2.72/1.68  Cooper               : 0.00
% 2.72/1.68  Total                : 0.67
% 2.72/1.68  Index Insertion      : 0.00
% 2.72/1.68  Index Deletion       : 0.00
% 2.72/1.68  Index Matching       : 0.00
% 2.72/1.68  BG Taut test         : 0.00
%------------------------------------------------------------------------------