TSTP Solution File: PUZ033-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ033-1 : 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 : n006.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 10:54:04 EDT 2023

% Result   : Unsatisfiable 2.00s 1.51s
% Output   : CNFRefutation 2.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   55 (  15 unt;  12 typ;   0 def)
%            Number of atoms       :   89 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   93 (  47   ~;  46   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 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  :   13 (  12 usr;  13 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp > window_is_shut > wind_in_gusts > wind_in_east > sunshine > neighbor_practices_flute > i_feel_rheumatic > headache > foggy > fire_smokes > fire_is_lit > door_is_open > cold

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_106,axiom,
    wind_in_east,
    file(unknown,unknown) ).

tff(f_41,axiom,
    ( ~ wind_in_east
    | sunshine ),
    file(unknown,unknown) ).

tff(f_93,axiom,
    ( ~ sunshine
    | foggy ),
    file(unknown,unknown) ).

tff(f_108,axiom,
    ~ window_is_shut,
    file(unknown,unknown) ).

tff(f_80,axiom,
    ( ~ sunshine
    | cold
    | ~ foggy
    | window_is_shut ),
    file(unknown,unknown) ).

tff(f_48,axiom,
    ( ~ cold
    | ~ foggy
    | neighbor_practices_flute ),
    file(unknown,unknown) ).

tff(f_98,axiom,
    ( ~ neighbor_practices_flute
    | ~ door_is_open ),
    file(unknown,unknown) ).

tff(f_105,axiom,
    ( ~ foggy
    | ~ wind_in_east
    | i_feel_rheumatic ),
    file(unknown,unknown) ).

tff(f_59,axiom,
    ( ~ cold
    | ~ i_feel_rheumatic
    | fire_is_lit ),
    file(unknown,unknown) ).

tff(f_89,axiom,
    ( wind_in_gusts
    | ~ fire_is_lit
    | door_is_open
    | ~ i_feel_rheumatic ),
    file(unknown,unknown) ).

tff(f_52,axiom,
    ( ~ fire_smokes
    | door_is_open ),
    file(unknown,unknown) ).

tff(f_66,axiom,
    ( ~ wind_in_east
    | ~ wind_in_gusts
    | fire_smokes ),
    file(unknown,unknown) ).

tff(c_24,plain,
    wind_in_east,
    inference(cnfTransformation,[status(thm)],[f_106]) ).

tff(c_2,plain,
    ( sunshine
    | ~ wind_in_east ),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_33,plain,
    sunshine,
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_2]) ).

tff(c_18,plain,
    ( foggy
    | ~ sunshine ),
    inference(cnfTransformation,[status(thm)],[f_93]) ).

tff(c_35,plain,
    foggy,
    inference(demodulation,[status(thm),theory(equality)],[c_33,c_18]) ).

tff(c_26,plain,
    ~ window_is_shut,
    inference(cnfTransformation,[status(thm)],[f_108]) ).

tff(c_14,plain,
    ( window_is_shut
    | ~ foggy
    | cold
    | ~ sunshine ),
    inference(cnfTransformation,[status(thm)],[f_80]) ).

tff(c_29,plain,
    ( ~ foggy
    | cold
    | ~ sunshine ),
    inference(negUnitSimplification,[status(thm)],[c_26,c_14]) ).

tff(c_37,plain,
    ( ~ foggy
    | cold ),
    inference(demodulation,[status(thm),theory(equality)],[c_33,c_29]) ).

tff(c_43,plain,
    cold,
    inference(demodulation,[status(thm),theory(equality)],[c_35,c_37]) ).

tff(c_4,plain,
    ( neighbor_practices_flute
    | ~ foggy
    | ~ cold ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_41,plain,
    ( neighbor_practices_flute
    | ~ cold ),
    inference(demodulation,[status(thm),theory(equality)],[c_35,c_4]) ).

tff(c_49,plain,
    neighbor_practices_flute,
    inference(demodulation,[status(thm),theory(equality)],[c_43,c_41]) ).

tff(c_20,plain,
    ( ~ door_is_open
    | ~ neighbor_practices_flute ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_51,plain,
    ~ door_is_open,
    inference(demodulation,[status(thm),theory(equality)],[c_49,c_20]) ).

tff(c_22,plain,
    ( i_feel_rheumatic
    | ~ wind_in_east
    | ~ foggy ),
    inference(cnfTransformation,[status(thm)],[f_105]) ).

tff(c_28,plain,
    ( i_feel_rheumatic
    | ~ foggy ),
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_22]) ).

tff(c_39,plain,
    i_feel_rheumatic,
    inference(demodulation,[status(thm),theory(equality)],[c_35,c_28]) ).

tff(c_8,plain,
    ( fire_is_lit
    | ~ i_feel_rheumatic
    | ~ cold ),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_45,plain,
    ( fire_is_lit
    | ~ i_feel_rheumatic ),
    inference(demodulation,[status(thm),theory(equality)],[c_43,c_8]) ).

tff(c_53,plain,
    fire_is_lit,
    inference(demodulation,[status(thm),theory(equality)],[c_39,c_45]) ).

tff(c_16,plain,
    ( ~ i_feel_rheumatic
    | door_is_open
    | ~ fire_is_lit
    | wind_in_gusts ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_47,plain,
    ( door_is_open
    | ~ fire_is_lit
    | wind_in_gusts ),
    inference(demodulation,[status(thm),theory(equality)],[c_39,c_16]) ).

tff(c_55,plain,
    ( door_is_open
    | wind_in_gusts ),
    inference(demodulation,[status(thm),theory(equality)],[c_53,c_47]) ).

tff(c_57,plain,
    wind_in_gusts,
    inference(negUnitSimplification,[status(thm)],[c_51,c_55]) ).

tff(c_6,plain,
    ( door_is_open
    | ~ fire_smokes ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_56,plain,
    ~ fire_smokes,
    inference(negUnitSimplification,[status(thm)],[c_51,c_6]) ).

tff(c_10,plain,
    ( fire_smokes
    | ~ wind_in_gusts
    | ~ wind_in_east ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_31,plain,
    ( fire_smokes
    | ~ wind_in_gusts ),
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_10]) ).

tff(c_58,plain,
    ~ wind_in_gusts,
    inference(negUnitSimplification,[status(thm)],[c_56,c_31]) ).

tff(c_60,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_57,c_58]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ033-1 : 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
% 0.14/0.35  % Computer : n006.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 17:32:29 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 2.00/1.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.00/1.51  
% 2.00/1.51  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.31/1.55  
% 2.31/1.55  Inference rules
% 2.31/1.55  ----------------------
% 2.31/1.55  #Ref     : 0
% 2.31/1.55  #Sup     : 0
% 2.31/1.55  #Fact    : 0
% 2.31/1.55  #Define  : 0
% 2.31/1.55  #Split   : 0
% 2.31/1.55  #Chain   : 0
% 2.31/1.55  #Close   : 0
% 2.31/1.55  
% 2.31/1.55  Ordering : KBO
% 2.31/1.55  
% 2.31/1.55  Simplification rules
% 2.31/1.55  ----------------------
% 2.31/1.55  #Subsume      : 12
% 2.31/1.55  #Demod        : 15
% 2.31/1.55  #Tautology    : 0
% 2.31/1.55  #SimpNegUnit  : 4
% 2.31/1.55  #BackRed      : 0
% 2.31/1.55  
% 2.31/1.55  #Partial instantiations: 0
% 2.31/1.55  #Strategies tried      : 1
% 2.31/1.55  
% 2.31/1.55  Timing (in seconds)
% 2.31/1.55  ----------------------
% 2.31/1.56  Preprocessing        : 0.38
% 2.31/1.56  Parsing              : 0.20
% 2.31/1.56  CNF conversion       : 0.01
% 2.31/1.56  Main loop            : 0.10
% 2.31/1.56  Inferencing          : 0.00
% 2.31/1.56  Reduction            : 0.05
% 2.31/1.56  Demodulation         : 0.03
% 2.31/1.56  BG Simplification    : 0.01
% 2.31/1.56  Subsumption          : 0.04
% 2.31/1.56  Abstraction          : 0.01
% 2.31/1.56  MUC search           : 0.00
% 2.31/1.56  Cooper               : 0.00
% 2.31/1.56  Total                : 0.54
% 2.31/1.56  Index Insertion      : 0.00
% 2.31/1.56  Index Deletion       : 0.00
% 2.31/1.56  Index Matching       : 0.00
% 2.31/1.56  BG Taut test         : 0.00
%------------------------------------------------------------------------------