TSTP Solution File: PUZ004-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ004-1 : 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/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 : n018.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 2.54s 1.83s
% Output   : CNFRefutation 2.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   42 (  14 unt;  10 typ;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   42 (  24   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 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  :   11 (  10 usr;  11 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp > on_one_sheet > on_blue_paper > in_third_person > in_black_ink > filed > dated > crossed > can_be_read > by_brown > begins_with_dear_sir

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

tff(f_75,axiom,
    can_be_read,
    file(unknown,unknown) ).

tff(f_49,axiom,
    ( ~ can_be_read
    | ~ filed ),
    file(unknown,unknown) ).

tff(f_64,axiom,
    ( ~ on_blue_paper
    | filed ),
    file(unknown,unknown) ).

tff(f_74,axiom,
    by_brown,
    file(unknown,unknown) ).

tff(f_60,axiom,
    ( ~ by_brown
    | begins_with_dear_sir ),
    file(unknown,unknown) ).

tff(f_73,axiom,
    ( ~ begins_with_dear_sir
    | ~ in_third_person ),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ( in_third_person
    | ~ in_black_ink ),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ( crossed
    | in_black_ink ),
    file(unknown,unknown) ).

tff(f_68,axiom,
    ( on_one_sheet
    | ~ crossed ),
    file(unknown,unknown) ).

tff(f_53,axiom,
    ( ~ on_one_sheet
    | dated ),
    file(unknown,unknown) ).

tff(f_36,axiom,
    ( ~ dated
    | on_blue_paper ),
    file(unknown,unknown) ).

tff(c_24,plain,
    can_be_read,
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_8,plain,
    ( ~ filed
    | ~ can_be_read ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_30,plain,
    ~ filed,
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_8]) ).

tff(c_16,plain,
    ( filed
    | ~ on_blue_paper ),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_31,plain,
    ~ on_blue_paper,
    inference(negUnitSimplification,[status(thm)],[c_30,c_16]) ).

tff(c_22,plain,
    by_brown,
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_14,plain,
    ( begins_with_dear_sir
    | ~ by_brown ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_26,plain,
    begins_with_dear_sir,
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_14]) ).

tff(c_20,plain,
    ( ~ in_third_person
    | ~ begins_with_dear_sir ),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_28,plain,
    ~ in_third_person,
    inference(demodulation,[status(thm),theory(equality)],[c_26,c_20]) ).

tff(c_6,plain,
    ( ~ in_black_ink
    | in_third_person ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_32,plain,
    ~ in_black_ink,
    inference(negUnitSimplification,[status(thm)],[c_28,c_6]) ).

tff(c_12,plain,
    ( in_black_ink
    | crossed ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_33,plain,
    crossed,
    inference(negUnitSimplification,[status(thm)],[c_32,c_12]) ).

tff(c_18,plain,
    ( ~ crossed
    | on_one_sheet ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

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

tff(c_10,plain,
    ( dated
    | ~ on_one_sheet ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_37,plain,
    dated,
    inference(demodulation,[status(thm),theory(equality)],[c_35,c_10]) ).

tff(c_2,plain,
    ( on_blue_paper
    | ~ dated ),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_40,plain,
    on_blue_paper,
    inference(demodulation,[status(thm),theory(equality)],[c_37,c_2]) ).

tff(c_41,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_31,c_40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : PUZ004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.08  % 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
% 0.09/0.27  % Computer : n018.cluster.edu
% 0.09/0.27  % Model    : x86_64 x86_64
% 0.09/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27  % Memory   : 8042.1875MB
% 0.09/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27  % CPULimit : 300
% 0.09/0.27  % WCLimit  : 300
% 0.09/0.27  % DateTime : Thu Aug  3 17:46:50 EDT 2023
% 0.09/0.28  % CPUTime  : 
% 2.54/1.83  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.54/1.84  
% 2.54/1.84  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.59/1.90  
% 2.59/1.90  Inference rules
% 2.59/1.90  ----------------------
% 2.59/1.90  #Ref     : 0
% 2.59/1.90  #Sup     : 0
% 2.59/1.90  #Fact    : 0
% 2.59/1.90  #Define  : 0
% 2.59/1.90  #Split   : 0
% 2.59/1.90  #Chain   : 0
% 2.59/1.90  #Close   : 0
% 2.59/1.90  
% 2.59/1.90  Ordering : KBO
% 2.59/1.90  
% 2.59/1.90  Simplification rules
% 2.59/1.90  ----------------------
% 2.59/1.90  #Subsume      : 11
% 2.59/1.90  #Demod        : 6
% 2.59/1.90  #Tautology    : 0
% 2.59/1.90  #SimpNegUnit  : 5
% 2.59/1.90  #BackRed      : 0
% 2.59/1.90  
% 2.59/1.90  #Partial instantiations: 0
% 2.59/1.90  #Strategies tried      : 1
% 2.59/1.90  
% 2.59/1.90  Timing (in seconds)
% 2.59/1.90  ----------------------
% 2.59/1.91  Preprocessing        : 0.56
% 2.59/1.91  Parsing              : 0.29
% 2.59/1.91  CNF conversion       : 0.02
% 2.59/1.91  Main loop            : 0.12
% 2.59/1.91  Inferencing          : 0.00
% 2.59/1.91  Reduction            : 0.05
% 2.59/1.91  Demodulation         : 0.04
% 2.59/1.91  BG Simplification    : 0.02
% 2.59/1.91  Subsumption          : 0.06
% 2.59/1.91  Abstraction          : 0.01
% 2.59/1.91  MUC search           : 0.00
% 2.59/1.91  Cooper               : 0.00
% 2.59/1.91  Total                : 0.78
% 2.59/1.91  Index Insertion      : 0.00
% 2.59/1.91  Index Deletion       : 0.00
% 2.59/1.91  Index Matching       : 0.00
% 2.59/1.91  BG Taut test         : 0.00
%------------------------------------------------------------------------------