TSTP Solution File: CSR015+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : CSR015+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/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 : n011.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 10:35:33 EDT 2023

% Result   : Theorem 8.97s 3.09s
% Output   : CNFRefutation 8.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   41
% Syntax   : Number of formulae    :   53 (   8 unt;  36 typ;   0 def)
%            Number of atoms       :   55 (  22 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :   58 (  20   ~;  18   |;  17   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   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   :   15 (;  15   !;   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_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/sandbox/benchmark/Axioms/CSR001+2.ax',happens_all_defn) ).

tff(f_391,negated_conjecture,
    ~ ~ holdsAt(backwards,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_backwards_1) ).

tff(f_280,axiom,
    ! [Event,Fluent,Time] :
      ( terminates(Event,Fluent,Time)
    <=> ( ( ( Event = push )
          & ( Fluent = backwards )
          & ~ happens(pull,Time) )
        | ( ( Event = pull )
          & ( Fluent = forwards )
          & ~ happens(push,Time) )
        | ( ( Event = pull )
          & ( Fluent = forwards )
          & happens(push,Time) )
        | ( ( Event = pull )
          & ( Fluent = backwards )
          & happens(push,Time) )
        | ( ( Event = push )
          & ( Fluent = spinning )
          & ~ happens(pull,Time) )
        | ( ( Event = pull )
          & ( Fluent = spinning )
          & ~ happens(push,Time) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax',terminates_all_defn) ).

tff(f_315,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).

tff(f_174,axiom,
    ! [Event,Time,Fluent] :
      ( ( happens(Event,Time)
        & terminates(Event,Fluent,Time) )
     => ~ holdsAt(Fluent,plus(Time,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).

tff(c_1622,plain,
    happens(push,n0),
    inference(cnfTransformation,[status(thm)],[f_301]) ).

tff(c_1712,plain,
    holdsAt(backwards,n1),
    inference(cnfTransformation,[status(thm)],[f_391]) ).

tff(c_1574,plain,
    ! [Time_58] :
      ( ~ happens(push,Time_58)
      | terminates(pull,backwards,Time_58) ),
    inference(cnfTransformation,[status(thm)],[f_280]) ).

tff(c_1634,plain,
    plus(n0,n1) = n1,
    inference(cnfTransformation,[status(thm)],[f_315]) ).

tff(c_4018,plain,
    ! [Fluent_219,Time_220,Event_221] :
      ( ~ holdsAt(Fluent_219,plus(Time_220,n1))
      | ~ terminates(Event_221,Fluent_219,Time_220)
      | ~ happens(Event_221,Time_220) ),
    inference(cnfTransformation,[status(thm)],[f_174]) ).

tff(c_4990,plain,
    ! [Fluent_268,Event_269] :
      ( ~ holdsAt(Fluent_268,n1)
      | ~ terminates(Event_269,Fluent_268,n0)
      | ~ happens(Event_269,n0) ),
    inference(superposition,[status(thm),theory(equality)],[c_1634,c_4018]) ).

tff(c_4998,plain,
    ( ~ holdsAt(backwards,n1)
    | ~ happens(pull,n0)
    | ~ happens(push,n0) ),
    inference(resolution,[status(thm)],[c_1574,c_4990]) ).

tff(c_5020,plain,
    ~ happens(pull,n0),
    inference(demodulation,[status(thm),theory(equality)],[c_1622,c_1712,c_4998]) ).

tff(c_1580,plain,
    ! [Time_58] :
      ( happens(pull,Time_58)
      | terminates(push,backwards,Time_58) ),
    inference(cnfTransformation,[status(thm)],[f_280]) ).

tff(c_5006,plain,
    ( ~ holdsAt(backwards,n1)
    | ~ happens(push,n0)
    | happens(pull,n0) ),
    inference(resolution,[status(thm)],[c_1580,c_4990]) ).

tff(c_5026,plain,
    happens(pull,n0),
    inference(demodulation,[status(thm),theory(equality)],[c_1622,c_1712,c_5006]) ).

tff(c_5031,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5020,c_5026]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : CSR015+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 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
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 20:38:36 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 8.97/3.09  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.97/3.10  
% 8.97/3.10  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.97/3.12  
% 8.97/3.12  Inference rules
% 8.97/3.12  ----------------------
% 8.97/3.12  #Ref     : 0
% 8.97/3.12  #Sup     : 606
% 8.97/3.12  #Fact    : 2
% 8.97/3.12  #Define  : 0
% 8.97/3.12  #Split   : 29
% 8.97/3.12  #Chain   : 0
% 8.97/3.12  #Close   : 0
% 8.97/3.12  
% 8.97/3.12  Ordering : KBO
% 8.97/3.12  
% 8.97/3.12  Simplification rules
% 8.97/3.12  ----------------------
% 8.97/3.12  #Subsume      : 699
% 8.97/3.12  #Demod        : 377
% 8.97/3.12  #Tautology    : 477
% 8.97/3.12  #SimpNegUnit  : 142
% 8.97/3.12  #BackRed      : 266
% 8.97/3.12  
% 8.97/3.12  #Partial instantiations: 0
% 8.97/3.12  #Strategies tried      : 1
% 8.97/3.12  
% 8.97/3.12  Timing (in seconds)
% 8.97/3.12  ----------------------
% 8.97/3.13  Preprocessing        : 0.84
% 8.97/3.13  Parsing              : 0.31
% 8.97/3.13  CNF conversion       : 0.08
% 8.97/3.13  Main loop            : 1.14
% 8.97/3.13  Inferencing          : 0.31
% 8.97/3.13  Reduction            : 0.39
% 8.97/3.13  Demodulation         : 0.27
% 8.97/3.13  BG Simplification    : 0.13
% 8.97/3.13  Subsumption          : 0.30
% 8.97/3.13  Abstraction          : 0.04
% 8.97/3.13  MUC search           : 0.00
% 8.97/3.13  Cooper               : 0.00
% 8.97/3.13  Total                : 2.03
% 8.97/3.13  Index Insertion      : 0.00
% 8.97/3.13  Index Deletion       : 0.00
% 8.97/3.13  Index Matching       : 0.00
% 8.97/3.13  BG Taut test         : 0.00
%------------------------------------------------------------------------------