TSTP Solution File: MSC001-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MSC001-1 : 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 : n032.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 10:49:47 EDT 2023

% Result   : Unsatisfiable 3.53s 1.88s
% Output   : CNFRefutation 3.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   50 (  11 unt;  15 typ;   0 def)
%            Number of atoms       :   70 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   74 (  39   ~;  35   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (   8   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   73 (;  73   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ at > hold > red > answer > do > #nlpp > thing > taken > go > there > s > pick_up > now > let_go > here > hand

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_39,axiom,
    ! [A,B] : at(hand,A,do(go(A),B)),
    file(unknown,unknown) ).

tff(f_94,axiom,
    ! [A,B] :
      ( ~ at(hand,A,B)
      | at(thing(taken(B)),A,B) ),
    file(unknown,unknown) ).

tff(f_55,axiom,
    ! [A,B,C] :
      ( ~ at(hand,A,B)
      | ~ at(thing(C),A,B)
      | hold(thing(taken(B)),do(pick_up,B)) ),
    file(unknown,unknown) ).

tff(f_89,axiom,
    ! [A,B,C] :
      ( ~ hold(thing(A),B)
      | hold(thing(A),do(go(C),B)) ),
    file(unknown,unknown) ).

tff(f_63,axiom,
    ! [A,B,C] :
      ( ~ hold(thing(A),B)
      | ~ at(hand,C,B)
      | at(thing(A),C,B) ),
    file(unknown,unknown) ).

tff(f_117,axiom,
    ! [A] : ~ answer(A),
    file(unknown,unknown) ).

tff(f_79,axiom,
    ! [A,B] :
      ( ~ red(A)
      | ~ at(A,there,B)
      | answer(B) ),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ! [A,B] : ~ hold(thing(A),do(let_go,B)),
    file(unknown,unknown) ).

tff(f_47,axiom,
    ! [A,B,C] :
      ( ~ at(thing(A),B,do(go(B),C))
      | at(thing(A),B,C)
      | hold(thing(A),C) ),
    file(unknown,unknown) ).

tff(f_109,axiom,
    ! [A,B,C] :
      ( ~ at(A,B,do(let_go,C))
      | at(A,B,C) ),
    file(unknown,unknown) ).

tff(f_114,axiom,
    ! [A] :
      ( ~ at(A,here,now)
      | red(A) ),
    file(unknown,unknown) ).

tff(c_8,plain,
    ! [A_5,B_6] : at(hand,A_5,do(go(A_5),B_6)),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_26,plain,
    ! [B_28,A_27] :
      ( at(thing(taken(B_28)),A_27,B_28)
      | ~ at(hand,A_27,B_28) ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_235,plain,
    ! [B_82,C_83,A_84] :
      ( hold(thing(taken(B_82)),do(pick_up,B_82))
      | ~ at(thing(C_83),A_84,B_82)
      | ~ at(hand,A_84,B_82) ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_258,plain,
    ! [B_85,A_86] :
      ( hold(thing(taken(B_85)),do(pick_up,B_85))
      | ~ at(hand,A_86,B_85) ),
    inference(resolution,[status(thm)],[c_26,c_235]) ).

tff(c_269,plain,
    ! [A_5,B_6] : hold(thing(taken(do(go(A_5),B_6))),do(pick_up,do(go(A_5),B_6))),
    inference(resolution,[status(thm)],[c_8,c_258]) ).

tff(c_24,plain,
    ! [A_24,C_26,B_25] :
      ( hold(thing(A_24),do(go(C_26),B_25))
      | ~ hold(thing(A_24),B_25) ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_126,plain,
    ! [A_67,C_68,B_69] :
      ( at(thing(A_67),C_68,B_69)
      | ~ at(hand,C_68,B_69)
      | ~ hold(thing(A_67),B_69) ),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_36,plain,
    ! [A_39] : ~ answer(A_39),
    inference(cnfTransformation,[status(thm)],[f_117]) ).

tff(c_20,plain,
    ! [B_20,A_19] :
      ( answer(B_20)
      | ~ at(A_19,there,B_20)
      | ~ red(A_19) ),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_37,plain,
    ! [A_19,B_20] :
      ( ~ at(A_19,there,B_20)
      | ~ red(A_19) ),
    inference(negUnitSimplification,[status(thm)],[c_36,c_20]) ).

tff(c_184,plain,
    ! [A_74,B_75] :
      ( ~ red(thing(A_74))
      | ~ at(hand,there,B_75)
      | ~ hold(thing(A_74),B_75) ),
    inference(resolution,[status(thm)],[c_126,c_37]) ).

tff(c_458,plain,
    ! [A_101,C_102,B_103] :
      ( ~ red(thing(A_101))
      | ~ at(hand,there,do(go(C_102),B_103))
      | ~ hold(thing(A_101),B_103) ),
    inference(resolution,[status(thm)],[c_24,c_184]) ).

tff(c_463,plain,
    ! [A_104,B_105] :
      ( ~ red(thing(A_104))
      | ~ hold(thing(A_104),B_105) ),
    inference(resolution,[status(thm)],[c_8,c_458]) ).

tff(c_470,plain,
    ! [A_5,B_6] : ~ red(thing(taken(do(go(A_5),B_6)))),
    inference(resolution,[status(thm)],[c_269,c_463]) ).

tff(c_4,plain,
    ! [A_3,B_4] : ~ hold(thing(A_3),do(let_go,B_4)),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_281,plain,
    ! [A_89,C_90,B_91] :
      ( hold(thing(A_89),C_90)
      | at(thing(A_89),B_91,C_90)
      | ~ at(thing(A_89),B_91,do(go(B_91),C_90)) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_292,plain,
    ! [A_27,C_90] :
      ( hold(thing(taken(do(go(A_27),C_90))),C_90)
      | at(thing(taken(do(go(A_27),C_90))),A_27,C_90)
      | ~ at(hand,A_27,do(go(A_27),C_90)) ),
    inference(resolution,[status(thm)],[c_26,c_281]) ).

tff(c_553,plain,
    ! [A_120,C_121] :
      ( hold(thing(taken(do(go(A_120),C_121))),C_121)
      | at(thing(taken(do(go(A_120),C_121))),A_120,C_121) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_292]) ).

tff(c_32,plain,
    ! [A_35,B_36,C_37] :
      ( at(A_35,B_36,C_37)
      | ~ at(A_35,B_36,do(let_go,C_37)) ),
    inference(cnfTransformation,[status(thm)],[f_109]) ).

tff(c_584,plain,
    ! [A_120,C_37] :
      ( at(thing(taken(do(go(A_120),do(let_go,C_37)))),A_120,C_37)
      | hold(thing(taken(do(go(A_120),do(let_go,C_37)))),do(let_go,C_37)) ),
    inference(resolution,[status(thm)],[c_553,c_32]) ).

tff(c_639,plain,
    ! [A_123,C_124] : at(thing(taken(do(go(A_123),do(let_go,C_124)))),A_123,C_124),
    inference(negUnitSimplification,[status(thm)],[c_4,c_584]) ).

tff(c_34,plain,
    ! [A_38] :
      ( red(A_38)
      | ~ at(A_38,here,now) ),
    inference(cnfTransformation,[status(thm)],[f_114]) ).

tff(c_678,plain,
    red(thing(taken(do(go(here),do(let_go,now))))),
    inference(resolution,[status(thm)],[c_639,c_34]) ).

tff(c_691,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_470,c_678]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MSC001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12  % 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
% 0.12/0.32  % Computer : n032.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu Aug  3 13:13:21 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 3.53/1.88  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.53/1.89  
% 3.53/1.89  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.62/1.92  
% 3.62/1.92  Inference rules
% 3.62/1.92  ----------------------
% 3.62/1.92  #Ref     : 0
% 3.62/1.92  #Sup     : 127
% 3.62/1.92  #Fact    : 0
% 3.62/1.92  #Define  : 0
% 3.62/1.92  #Split   : 2
% 3.62/1.92  #Chain   : 0
% 3.62/1.92  #Close   : 0
% 3.62/1.92  
% 3.62/1.92  Ordering : KBO
% 3.62/1.92  
% 3.62/1.92  Simplification rules
% 3.62/1.92  ----------------------
% 3.62/1.92  #Subsume      : 37
% 3.62/1.92  #Demod        : 4
% 3.62/1.92  #Tautology    : 8
% 3.62/1.92  #SimpNegUnit  : 6
% 3.62/1.92  #BackRed      : 0
% 3.62/1.92  
% 3.62/1.92  #Partial instantiations: 0
% 3.62/1.92  #Strategies tried      : 1
% 3.62/1.92  
% 3.62/1.92  Timing (in seconds)
% 3.62/1.92  ----------------------
% 3.62/1.93  Preprocessing        : 0.47
% 3.62/1.93  Parsing              : 0.27
% 3.62/1.93  CNF conversion       : 0.03
% 3.62/1.93  Main loop            : 0.48
% 3.62/1.93  Inferencing          : 0.20
% 3.62/1.93  Reduction            : 0.12
% 3.62/1.93  Demodulation         : 0.08
% 3.62/1.93  BG Simplification    : 0.02
% 3.62/1.93  Subsumption          : 0.11
% 3.62/1.93  Abstraction          : 0.02
% 3.62/1.93  MUC search           : 0.00
% 3.62/1.93  Cooper               : 0.00
% 3.62/1.93  Total                : 1.00
% 3.62/1.93  Index Insertion      : 0.00
% 3.62/1.93  Index Deletion       : 0.00
% 3.62/1.93  Index Matching       : 0.00
% 3.62/1.93  BG Taut test         : 0.00
%------------------------------------------------------------------------------