TSTP Solution File: CSR023+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : CSR023+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 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 : n021.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 10:35:34 EDT 2023

% Result   : Theorem 12.92s 4.14s
% Output   : CNFRefutation 12.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   42
% Syntax   : Number of formulae    :   54 (  10 unt;  36 typ;   0 def)
%            Number of atoms       :   46 (  18 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   41 (  13   ~;  14   |;  11   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   55 (  21   >;  34   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-4 aty)
%            Number of functors    :   24 (  24 usr;  15 con; 0-3 aty)
%            Number of variables   :   18 (;  18   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ trajectory > antitrajectory > terminates > stoppedIn > startedIn > releases > initiates > releasedAt > less_or_equal > less > holdsAt > happens > plus > #nlpp > spinning > push > pull > n9 > n8 > n7 > n6 > n5 > n4 > n3 > n2 > n1 > n0 > forwards > backwards > #skF_6 > #skF_1 > #skF_4 > #skF_2 > #skF_8 > #skF_3 > #skF_7 > #skF_5

%Foreground sorts:

%Background operators:

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

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

tff('#skF_6',type,
    '#skF_6': ( $i * $i ) > $i ).

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

tff('#skF_1',type,
    '#skF_1': ( $i * $i * $i ) > $i ).

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

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

tff(n8,type,
    n8: $i ).

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

tff(n9,type,
    n9: $i ).

tff('#skF_4',type,
    '#skF_4': ( $i * $i * $i ) > $i ).

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

tff(n3,type,
    n3: $i ).

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

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

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

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

tff(n7,type,
    n7: $i ).

tff(n6,type,
    n6: $i ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i * $i ) > $i ).

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

tff('#skF_8',type,
    '#skF_8': ( $i * $i ) > $i ).

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

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

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

tff(n4,type,
    n4: $i ).

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

tff('#skF_3',type,
    '#skF_3': ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_7',type,
    '#skF_7': ( $i * $i ) > $i ).

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

tff(n5,type,
    n5: $i ).

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

tff('#skF_5',type,
    '#skF_5': ( $i * $i ) > $i ).

tff(f_390,negated_conjecture,
    ~ holdsAt(spinning,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spinning_3) ).

tff(f_301,axiom,
    ! [Event,Time] :
      ( happens(Event,Time)
    <=> ( ( ( Event = push )
          & ( Time = n0 ) )
        | ( ( Event = pull )
          & ( Time = n1 ) )
        | ( ( Event = pull )
          & ( Time = n2 ) )
        | ( ( Event = push )
          & ( Time = n2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax',happens_all_defn) ).

tff(f_319,axiom,
    plus(n1,n2) = n3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).

tff(f_325,axiom,
    ! [X,Y] : ( plus(X,Y) = plus(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).

tff(f_238,axiom,
    ! [Event,Fluent,Time] :
      ( initiates(Event,Fluent,Time)
    <=> ( ( ( Event = push )
          & ( Fluent = forwards )
          & ~ happens(pull,Time) )
        | ( ( Event = pull )
          & ( Fluent = backwards )
          & ~ happens(push,Time) )
        | ( ( Event = pull )
          & ( Fluent = spinning )
          & happens(push,Time) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax',initiates_all_defn) ).

tff(f_166,axiom,
    ! [Event,Time,Fluent] :
      ( ( happens(Event,Time)
        & initiates(Event,Fluent,Time) )
     => holdsAt(Fluent,plus(Time,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_holds) ).

tff(c_1712,plain,
    ~ holdsAt(spinning,n3),
    inference(cnfTransformation,[status(thm)],[f_390]) ).

tff(c_1616,plain,
    happens(push,n2),
    inference(cnfTransformation,[status(thm)],[f_301]) ).

tff(c_1618,plain,
    happens(pull,n2),
    inference(cnfTransformation,[status(thm)],[f_301]) ).

tff(c_1642,plain,
    plus(n1,n2) = n3,
    inference(cnfTransformation,[status(thm)],[f_319]) ).

tff(c_1652,plain,
    ! [Y_65,X_64] : ( plus(Y_65,X_64) = plus(X_64,Y_65) ),
    inference(cnfTransformation,[status(thm)],[f_325]) ).

tff(c_106,plain,
    ! [Time_55] :
      ( ~ happens(push,Time_55)
      | initiates(pull,spinning,Time_55) ),
    inference(cnfTransformation,[status(thm)],[f_238]) ).

tff(c_3933,plain,
    ! [Fluent_213,Time_214,Event_215] :
      ( holdsAt(Fluent_213,plus(Time_214,n1))
      | ~ initiates(Event_215,Fluent_213,Time_214)
      | ~ happens(Event_215,Time_214) ),
    inference(cnfTransformation,[status(thm)],[f_166]) ).

tff(c_7677,plain,
    ! [Time_406] :
      ( holdsAt(spinning,plus(Time_406,n1))
      | ~ happens(pull,Time_406)
      | ~ happens(push,Time_406) ),
    inference(resolution,[status(thm)],[c_106,c_3933]) ).

tff(c_11550,plain,
    ! [Y_574] :
      ( holdsAt(spinning,plus(n1,Y_574))
      | ~ happens(pull,Y_574)
      | ~ happens(push,Y_574) ),
    inference(superposition,[status(thm),theory(equality)],[c_1652,c_7677]) ).

tff(c_11582,plain,
    ( holdsAt(spinning,n3)
    | ~ happens(pull,n2)
    | ~ happens(push,n2) ),
    inference(superposition,[status(thm),theory(equality)],[c_1642,c_11550]) ).

tff(c_11607,plain,
    holdsAt(spinning,n3),
    inference(demodulation,[status(thm),theory(equality)],[c_1616,c_1618,c_11582]) ).

tff(c_11609,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1712,c_11607]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR023+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 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
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Aug  3 20:38:22 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 12.92/4.14  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.92/4.15  
% 12.92/4.15  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.92/4.17  
% 12.92/4.17  Inference rules
% 12.92/4.17  ----------------------
% 12.92/4.17  #Ref     : 0
% 12.92/4.17  #Sup     : 1804
% 12.92/4.17  #Fact    : 2
% 12.92/4.17  #Define  : 0
% 12.92/4.17  #Split   : 35
% 12.92/4.17  #Chain   : 0
% 12.92/4.17  #Close   : 0
% 12.92/4.17  
% 12.92/4.17  Ordering : KBO
% 12.92/4.17  
% 12.92/4.17  Simplification rules
% 12.92/4.17  ----------------------
% 12.92/4.17  #Subsume      : 1091
% 12.92/4.17  #Demod        : 898
% 12.92/4.17  #Tautology    : 816
% 12.92/4.17  #SimpNegUnit  : 507
% 12.92/4.17  #BackRed      : 325
% 12.92/4.17  
% 12.92/4.17  #Partial instantiations: 0
% 12.92/4.17  #Strategies tried      : 1
% 12.92/4.17  
% 12.92/4.17  Timing (in seconds)
% 12.92/4.17  ----------------------
% 12.92/4.18  Preprocessing        : 0.87
% 12.92/4.18  Parsing              : 0.33
% 12.92/4.18  CNF conversion       : 0.08
% 12.92/4.18  Main loop            : 2.17
% 12.92/4.18  Inferencing          : 0.60
% 12.92/4.18  Reduction            : 0.79
% 12.92/4.18  Demodulation         : 0.51
% 12.92/4.18  BG Simplification    : 0.14
% 12.92/4.18  Subsumption          : 0.57
% 12.92/4.18  Abstraction          : 0.05
% 12.92/4.18  MUC search           : 0.00
% 12.92/4.18  Cooper               : 0.00
% 12.92/4.18  Total                : 3.09
% 12.92/4.18  Index Insertion      : 0.00
% 12.92/4.18  Index Deletion       : 0.00
% 12.92/4.18  Index Matching       : 0.00
% 12.92/4.18  BG Taut test         : 0.00
%------------------------------------------------------------------------------