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Beagle---0.9.52.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : PLA003-1 : TPTP v9.0.0. 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 : n011.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 : Wed Apr  9 08:23:00 PM UTC 2025

% Result   : Unsatisfiable 3.10s 1.82s
% Output   : CNFRefutation 3.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   29 (  16   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :   56 (  56   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ can > monkey > ladder > bananas > #nlpp > the_ladder > the_bananas > nothing > l2 > l1 > l0 > floor > ceiling

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(l0,type,
    l0: $i ).

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

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

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

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

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

tff(l2,type,
    l2: $i ).

tff(nothing,type,
    nothing: $i ).

tff(l1,type,
    l1: $i ).

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

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

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

tff(f_70,axiom,
    can(monkey(l0,floor,nothing),ladder(l1,floor),bananas(l2,ceiling)),
    file(unknown,unknown) ).

tff(f_49,axiom,
    ! [Location2,Ladder,Bananas,Location1] :
      ( can(monkey(Location2,floor,nothing),Ladder,Bananas)
      | ~ can(monkey(Location1,floor,nothing),Ladder,Bananas) ),
    file(unknown,unknown) ).

tff(f_69,axiom,
    ! [Location,Height,Bananas] :
      ( can(monkey(Location,Height,the_ladder),ladder(Location,Height),Bananas)
      | ~ can(monkey(Location,Height,nothing),ladder(Location,Height),Bananas) ),
    file(unknown,unknown) ).

tff(f_39,axiom,
    ! [Location2,Bananas,Location1] :
      ( can(monkey(Location2,floor,the_ladder),ladder(Location2,floor),Bananas)
      | ~ can(monkey(Location1,floor,the_ladder),ladder(Location1,floor),Bananas) ),
    file(unknown,unknown) ).

tff(f_54,axiom,
    ! [Location,Height,Bananas,Any_height] :
      ( can(monkey(Location,Height,nothing),ladder(Location,floor),Bananas)
      | ~ can(monkey(Location,Height,the_ladder),ladder(Location,Any_height),Bananas) ),
    file(unknown,unknown) ).

tff(f_29,axiom,
    ! [Location1,Bananas] :
      ( can(monkey(Location1,ceiling,nothing),ladder(Location1,floor),Bananas)
      | ~ can(monkey(Location1,floor,nothing),ladder(Location1,floor),Bananas) ),
    file(unknown,unknown) ).

tff(f_73,axiom,
    ! [Somewhere,Some_height,Ladder,What] : ~ can(monkey(Somewhere,Some_height,the_bananas),Ladder,What),
    file(unknown,unknown) ).

tff(f_64,axiom,
    ! [Location,Height,Ladder] :
      ( can(monkey(Location,Height,the_bananas),Ladder,bananas(Location,Height))
      | ~ can(monkey(Location,Height,nothing),Ladder,bananas(Location,Height)) ),
    file(unknown,unknown) ).

tff(c_20,plain,
    can(monkey(l0,floor,nothing),ladder(l1,floor),bananas(l2,ceiling)),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_27,plain,
    ! [Location1_39,Ladder_40,Bananas_41,Location2_42] :
      ( ~ can(monkey(Location1_39,floor,nothing),Ladder_40,Bananas_41)
      | can(monkey(Location2_42,floor,nothing),Ladder_40,Bananas_41) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_30,plain,
    ! [Location2_42] : can(monkey(Location2_42,floor,nothing),ladder(l1,floor),bananas(l2,ceiling)),
    inference(resolution,[status(thm)],[c_20,c_27]) ).

tff(c_48,plain,
    ! [Location_50,Height_51,Bananas_52] :
      ( ~ can(monkey(Location_50,Height_51,nothing),ladder(Location_50,Height_51),Bananas_52)
      | can(monkey(Location_50,Height_51,the_ladder),ladder(Location_50,Height_51),Bananas_52) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_6,plain,
    ! [Location1_7,Bananas_6,Location2_5] :
      ( ~ can(monkey(Location1_7,floor,the_ladder),ladder(Location1_7,floor),Bananas_6)
      | can(monkey(Location2_5,floor,the_ladder),ladder(Location2_5,floor),Bananas_6) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_68,plain,
    ! [Location2_59,Bananas_60,Location_61] :
      ( can(monkey(Location2_59,floor,the_ladder),ladder(Location2_59,floor),Bananas_60)
      | ~ can(monkey(Location_61,floor,nothing),ladder(Location_61,floor),Bananas_60) ),
    inference(resolution,[status(thm)],[c_48,c_6]) ).

tff(c_76,plain,
    ! [Location2_62] : can(monkey(Location2_62,floor,the_ladder),ladder(Location2_62,floor),bananas(l2,ceiling)),
    inference(resolution,[status(thm)],[c_30,c_68]) ).

tff(c_12,plain,
    ! [Location_15,Height_16,Any_height_18,Bananas_17] :
      ( ~ can(monkey(Location_15,Height_16,the_ladder),ladder(Location_15,Any_height_18),Bananas_17)
      | can(monkey(Location_15,Height_16,nothing),ladder(Location_15,floor),Bananas_17) ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_85,plain,
    ! [Location2_63] : can(monkey(Location2_63,floor,nothing),ladder(Location2_63,floor),bananas(l2,ceiling)),
    inference(resolution,[status(thm)],[c_76,c_12]) ).

tff(c_2,plain,
    ! [Location1_1,Bananas_2] :
      ( ~ can(monkey(Location1_1,floor,nothing),ladder(Location1_1,floor),Bananas_2)
      | can(monkey(Location1_1,ceiling,nothing),ladder(Location1_1,floor),Bananas_2) ),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_133,plain,
    ! [Location2_69] : can(monkey(Location2_69,ceiling,nothing),ladder(Location2_69,floor),bananas(l2,ceiling)),
    inference(resolution,[status(thm)],[c_85,c_2]) ).

tff(c_22,plain,
    ! [Somewhere_28,Some_height_29,Ladder_30,What_31] : ~ can(monkey(Somewhere_28,Some_height_29,the_bananas),Ladder_30,What_31),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_16,plain,
    ! [Location_22,Height_23,Ladder_24] :
      ( ~ can(monkey(Location_22,Height_23,nothing),Ladder_24,bananas(Location_22,Height_23))
      | can(monkey(Location_22,Height_23,the_bananas),Ladder_24,bananas(Location_22,Height_23)) ),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_23,plain,
    ! [Location_22,Height_23,Ladder_24] : ~ can(monkey(Location_22,Height_23,nothing),Ladder_24,bananas(Location_22,Height_23)),
    inference(negUnitSimplification,[status(thm)],[c_22,c_16]) ).

tff(c_138,plain,
    $false,
    inference(resolution,[status(thm)],[c_133,c_23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : PLA003-1 : TPTP v9.0.0. Released v1.0.0.
% 0.10/0.13  % 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
% 0.13/0.34  % Computer : n011.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 : Tue Apr  8 16:31:33 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 3.10/1.82  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.10/1.83  
% 3.10/1.83  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------