TSTP Solution File: PLA001-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PLA001-1 : 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 : n014.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 10:53:34 EDT 2023

% Result   : Unsatisfiable 3.22s 1.79s
% Output   : CNFRefutation 3.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   50 (  21 unt;  20 typ;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  19   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (   6   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :   18 (  18 usr;  14 con; 0-2 aty)
%            Number of variables   :   49 (;  49   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ at > next_to > drive > #nlpp > wait_at > s > buy > winnemucca > start > saltLakeCity > rockSprings > omaha > northPlatte > none > lincoln > laramie > initial_situation > grandIsland > elko > desMoines > cheyenne

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

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

tff(none,type,
    none: $i ).

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

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

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

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

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

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

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

tff(f_59,axiom,
    next_to(cheyenne,northPlatte),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ! [FromCity,Loaves,Situation,Time,ToCity] :
      ( ~ at(FromCity,Loaves,Time,Situation)
      | ~ next_to(FromCity,ToCity)
      | at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) ),
    file(unknown,unknown) ).

tff(f_60,axiom,
    next_to(northPlatte,grandIsland),
    file(unknown,unknown) ).

tff(f_61,axiom,
    next_to(grandIsland,lincoln),
    file(unknown,unknown) ).

tff(f_62,axiom,
    next_to(lincoln,omaha),
    file(unknown,unknown) ).

tff(f_63,axiom,
    next_to(omaha,desMoines),
    file(unknown,unknown) ).

tff(f_53,axiom,
    ! [City,Loaves,Time,Situation] :
      ( ~ at(City,Loaves,Time,Situation)
      | at(City,s(Loaves),s(Time),buy(Situation)) ),
    file(unknown,unknown) ).

tff(f_67,axiom,
    ! [Time,Situation] : ~ at(desMoines,s(none),Time,Situation),
    file(unknown,unknown) ).

tff(f_64,axiom,
    at(cheyenne,none,start,initial_situation),
    file(unknown,unknown) ).

tff(c_20,plain,
    next_to(cheyenne,northPlatte),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_52,plain,
    ! [Situation_35,Loaves_33,FromCity_37,Time_34,ToCity_36] :
      ( at(ToCity_36,Loaves_33,s(s(Time_34)),drive(ToCity_36,Situation_35))
      | ~ next_to(FromCity_37,ToCity_36)
      | ~ at(FromCity_37,Loaves_33,Time_34,Situation_35) ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_73,plain,
    ! [Loaves_33,Time_34,Situation_35] :
      ( at(northPlatte,Loaves_33,s(s(Time_34)),drive(northPlatte,Situation_35))
      | ~ at(cheyenne,Loaves_33,Time_34,Situation_35) ),
    inference(resolution,[status(thm)],[c_20,c_52]) ).

tff(c_22,plain,
    next_to(northPlatte,grandIsland),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_75,plain,
    ! [Loaves_33,Time_34,Situation_35] :
      ( at(grandIsland,Loaves_33,s(s(Time_34)),drive(grandIsland,Situation_35))
      | ~ at(northPlatte,Loaves_33,Time_34,Situation_35) ),
    inference(resolution,[status(thm)],[c_22,c_52]) ).

tff(c_24,plain,
    next_to(grandIsland,lincoln),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_206,plain,
    ! [Loaves_105,Time_106,Situation_107] :
      ( at(lincoln,Loaves_105,s(s(Time_106)),drive(lincoln,Situation_107))
      | ~ at(grandIsland,Loaves_105,Time_106,Situation_107) ),
    inference(resolution,[status(thm)],[c_24,c_52]) ).

tff(c_26,plain,
    next_to(lincoln,omaha),
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_168,plain,
    ! [Loaves_98,Time_99,Situation_100] :
      ( at(omaha,Loaves_98,s(s(Time_99)),drive(omaha,Situation_100))
      | ~ at(lincoln,Loaves_98,Time_99,Situation_100) ),
    inference(resolution,[status(thm)],[c_26,c_52]) ).

tff(c_28,plain,
    next_to(omaha,desMoines),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_84,plain,
    ! [Loaves_41,Time_42,Situation_43] :
      ( at(desMoines,Loaves_41,s(s(Time_42)),drive(desMoines,Situation_43))
      | ~ at(omaha,Loaves_41,Time_42,Situation_43) ),
    inference(resolution,[status(thm)],[c_28,c_52]) ).

tff(c_40,plain,
    ! [City_27,Loaves_28,Time_29,Situation_30] :
      ( at(City_27,s(Loaves_28),s(Time_29),buy(Situation_30))
      | ~ at(City_27,Loaves_28,Time_29,Situation_30) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_32,plain,
    ! [Time_19,Situation_20] : ~ at(desMoines,s(none),Time_19,Situation_20),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_45,plain,
    ! [Time_29,Situation_30] : ~ at(desMoines,none,Time_29,Situation_30),
    inference(resolution,[status(thm)],[c_40,c_32]) ).

tff(c_93,plain,
    ! [Time_42,Situation_43] : ~ at(omaha,none,Time_42,Situation_43),
    inference(resolution,[status(thm)],[c_84,c_45]) ).

tff(c_178,plain,
    ! [Time_99,Situation_100] : ~ at(lincoln,none,Time_99,Situation_100),
    inference(resolution,[status(thm)],[c_168,c_93]) ).

tff(c_217,plain,
    ! [Time_108,Situation_109] : ~ at(grandIsland,none,Time_108,Situation_109),
    inference(resolution,[status(thm)],[c_206,c_178]) ).

tff(c_233,plain,
    ! [Time_110,Situation_111] : ~ at(northPlatte,none,Time_110,Situation_111),
    inference(resolution,[status(thm)],[c_75,c_217]) ).

tff(c_247,plain,
    ! [Time_34,Situation_35] : ~ at(cheyenne,none,Time_34,Situation_35),
    inference(resolution,[status(thm)],[c_73,c_233]) ).

tff(c_30,plain,
    at(cheyenne,none,start,initial_situation),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_250,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_247,c_30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PLA001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % 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
% 0.14/0.35  % Computer : n014.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 18:15:03 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 3.22/1.79  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.22/1.80  
% 3.22/1.80  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.22/1.84  
% 3.22/1.84  Inference rules
% 3.22/1.84  ----------------------
% 3.22/1.84  #Ref     : 0
% 3.22/1.84  #Sup     : 45
% 3.22/1.84  #Fact    : 0
% 3.22/1.84  #Define  : 0
% 3.22/1.84  #Split   : 0
% 3.22/1.84  #Chain   : 0
% 3.22/1.84  #Close   : 0
% 3.22/1.84  
% 3.22/1.84  Ordering : KBO
% 3.22/1.84  
% 3.22/1.84  Simplification rules
% 3.22/1.84  ----------------------
% 3.22/1.84  #Subsume      : 16
% 3.22/1.84  #Demod        : 0
% 3.22/1.84  #Tautology    : 0
% 3.22/1.84  #SimpNegUnit  : 1
% 3.22/1.84  #BackRed      : 1
% 3.22/1.84  
% 3.22/1.84  #Partial instantiations: 0
% 3.22/1.84  #Strategies tried      : 1
% 3.22/1.84  
% 3.22/1.84  Timing (in seconds)
% 3.22/1.84  ----------------------
% 3.22/1.84  Preprocessing        : 0.43
% 3.22/1.84  Parsing              : 0.24
% 3.22/1.84  CNF conversion       : 0.03
% 3.22/1.84  Main loop            : 0.33
% 3.22/1.84  Inferencing          : 0.15
% 3.22/1.84  Reduction            : 0.08
% 3.22/1.84  Demodulation         : 0.05
% 3.22/1.84  BG Simplification    : 0.01
% 3.22/1.84  Subsumption          : 0.06
% 3.22/1.84  Abstraction          : 0.01
% 3.22/1.84  MUC search           : 0.00
% 3.22/1.84  Cooper               : 0.00
% 3.22/1.84  Total                : 0.82
% 3.22/1.84  Index Insertion      : 0.00
% 3.22/1.84  Index Deletion       : 0.00
% 3.22/1.84  Index Matching       : 0.00
% 3.22/1.84  BG Taut test         : 0.00
%------------------------------------------------------------------------------