TSTP Solution File: COM002-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : COM002-2 : 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 : n015.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 10:35:12 EDT 2023

% Result   : Unsatisfiable 3.33s 1.85s
% Output   : CNFRefutation 3.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   35
% Syntax   : Number of formulae    :   57 (  19 unt;  26 typ;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  19   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  10   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  16 con; 0-2 aty)
%            Number of variables   :   24 (;  24   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ labels > has > follows > fails > times > plus > ifthen > equal_function > assign > #nlpp > goto > register_k > register_j > p8 > p7 > p6 > p5 > p4 > p3 > p2 > p1 > out > n2 > n1 > n0 > n > loop

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

tff(p1,type,
    p1: $i ).

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

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

tff(n1,type,
    n1: $i ).

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

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

tff(n0,type,
    n0: $i ).

tff(p8,type,
    p8: $i ).

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

tff(p5,type,
    p5: $i ).

tff(p7,type,
    p7: $i ).

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

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

tff(p3,type,
    p3: $i ).

tff(p4,type,
    p4: $i ).

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

tff(n2,type,
    n2: $i ).

tff(p6,type,
    p6: $i ).

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

tff(p2,type,
    p2: $i ).

tff(f_65,axiom,
    follows(p6,p3),
    file(unknown,unknown) ).

tff(f_34,axiom,
    ! [Goal_state,Start_state] :
      ( ~ fails(Goal_state,Start_state)
      | ~ follows(Goal_state,Start_state) ),
    file(unknown,unknown) ).

tff(f_70,axiom,
    has(p8,goto(loop)),
    file(unknown,unknown) ).

tff(f_60,axiom,
    labels(loop,p3),
    file(unknown,unknown) ).

tff(f_50,axiom,
    ! [Goal_state,Start_state,Label] :
      ( ~ fails(Goal_state,Start_state)
      | ~ has(Start_state,goto(Label))
      | ~ labels(Label,Goal_state) ),
    file(unknown,unknown) ).

tff(f_71,axiom,
    fails(p3,p3),
    file(unknown,unknown) ).

tff(f_41,axiom,
    ! [Goal_state,Start_state,Intermediate_state] :
      ( ~ fails(Goal_state,Start_state)
      | fails(Goal_state,Intermediate_state)
      | fails(Intermediate_state,Start_state) ),
    file(unknown,unknown) ).

tff(f_69,axiom,
    follows(p8,p7),
    file(unknown,unknown) ).

tff(f_67,axiom,
    follows(p7,p6),
    file(unknown,unknown) ).

tff(c_26,plain,
    follows(p6,p3),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_39,plain,
    ! [Goal_state_12,Start_state_13] :
      ( ~ follows(Goal_state_12,Start_state_13)
      | ~ fails(Goal_state_12,Start_state_13) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_58,plain,
    ~ fails(p6,p3),
    inference(resolution,[status(thm)],[c_26,c_39]) ).

tff(c_36,plain,
    has(p8,goto(loop)),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_16,plain,
    labels(loop,p3),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_73,plain,
    ! [Label_20,Goal_state_21,Start_state_22] :
      ( ~ labels(Label_20,Goal_state_21)
      | ~ has(Start_state_22,goto(Label_20))
      | ~ fails(Goal_state_21,Start_state_22) ),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_160,plain,
    ! [Start_state_26] :
      ( ~ has(Start_state_26,goto(loop))
      | ~ fails(p3,Start_state_26) ),
    inference(resolution,[status(thm)],[c_16,c_73]) ).

tff(c_164,plain,
    ~ fails(p3,p8),
    inference(resolution,[status(thm)],[c_36,c_160]) ).

tff(c_38,plain,
    fails(p3,p3),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_69,plain,
    ! [Intermediate_state_17,Start_state_18,Goal_state_19] :
      ( fails(Intermediate_state_17,Start_state_18)
      | fails(Goal_state_19,Intermediate_state_17)
      | ~ fails(Goal_state_19,Start_state_18) ),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_93,plain,
    ! [Intermediate_state_23] :
      ( fails(Intermediate_state_23,p3)
      | fails(p3,Intermediate_state_23) ),
    inference(resolution,[status(thm)],[c_38,c_69]) ).

tff(c_4,plain,
    ! [Intermediate_state_5,Start_state_4,Goal_state_3] :
      ( fails(Intermediate_state_5,Start_state_4)
      | fails(Goal_state_3,Intermediate_state_5)
      | ~ fails(Goal_state_3,Start_state_4) ),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_292,plain,
    ! [Intermediate_state_31,Intermediate_state_32] :
      ( fails(Intermediate_state_31,Intermediate_state_32)
      | fails(p3,Intermediate_state_31)
      | fails(Intermediate_state_32,p3) ),
    inference(resolution,[status(thm)],[c_93,c_4]) ).

tff(c_34,plain,
    follows(p8,p7),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_60,plain,
    ~ fails(p8,p7),
    inference(resolution,[status(thm)],[c_34,c_39]) ).

tff(c_307,plain,
    ( fails(p3,p8)
    | fails(p7,p3) ),
    inference(resolution,[status(thm)],[c_292,c_60]) ).

tff(c_338,plain,
    fails(p7,p3),
    inference(negUnitSimplification,[status(thm)],[c_164,c_307]) ).

tff(c_355,plain,
    ! [Intermediate_state_33] :
      ( fails(Intermediate_state_33,p3)
      | fails(p7,Intermediate_state_33) ),
    inference(resolution,[status(thm)],[c_338,c_4]) ).

tff(c_30,plain,
    follows(p7,p6),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_63,plain,
    ~ fails(p7,p6),
    inference(resolution,[status(thm)],[c_30,c_39]) ).

tff(c_364,plain,
    fails(p6,p3),
    inference(resolution,[status(thm)],[c_355,c_63]) ).

tff(c_370,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_58,c_364]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : COM002-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % 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
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 23:51:44 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 3.33/1.85  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.33/1.85  
% 3.33/1.85  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.60/1.88  
% 3.60/1.88  Inference rules
% 3.60/1.88  ----------------------
% 3.60/1.88  #Ref     : 0
% 3.60/1.88  #Sup     : 66
% 3.60/1.88  #Fact    : 8
% 3.60/1.88  #Define  : 0
% 3.60/1.88  #Split   : 0
% 3.60/1.88  #Chain   : 0
% 3.60/1.88  #Close   : 0
% 3.60/1.88  
% 3.60/1.88  Ordering : KBO
% 3.60/1.88  
% 3.60/1.88  Simplification rules
% 3.60/1.88  ----------------------
% 3.60/1.88  #Subsume      : 3
% 3.60/1.88  #Demod        : 17
% 3.60/1.88  #Tautology    : 15
% 3.60/1.88  #SimpNegUnit  : 4
% 3.60/1.88  #BackRed      : 0
% 3.60/1.88  
% 3.60/1.88  #Partial instantiations: 0
% 3.60/1.88  #Strategies tried      : 1
% 3.60/1.88  
% 3.60/1.88  Timing (in seconds)
% 3.60/1.88  ----------------------
% 3.60/1.89  Preprocessing        : 0.43
% 3.60/1.89  Parsing              : 0.24
% 3.60/1.89  CNF conversion       : 0.02
% 3.60/1.89  Main loop            : 0.39
% 3.60/1.89  Inferencing          : 0.18
% 3.60/1.89  Reduction            : 0.10
% 3.60/1.89  Demodulation         : 0.07
% 3.60/1.89  BG Simplification    : 0.01
% 3.60/1.89  Subsumption          : 0.07
% 3.60/1.89  Abstraction          : 0.01
% 3.60/1.89  MUC search           : 0.00
% 3.60/1.89  Cooper               : 0.00
% 3.60/1.89  Total                : 0.86
% 3.60/1.89  Index Insertion      : 0.00
% 3.60/1.89  Index Deletion       : 0.00
% 3.60/1.89  Index Matching       : 0.00
% 3.60/1.89  BG Taut test         : 0.00
%------------------------------------------------------------------------------