TSTP Solution File: SWV465+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV465+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : 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 11:04:17 EDT 2023

% Result   : Theorem 20.01s 8.46s
% Output   : CNFRefutation 20.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   57
% Syntax   : Number of formulae    :  102 (  31 unt;  50 typ;   0 def)
%            Number of atoms       :  185 (  82 equ)
%            Maximal formula atoms :   88 (   3 avg)
%            Number of connectives :  206 (  73   ~;  45   |;  63   &)
%                                         (   3 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   39 (  27   >;  12   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   45 (  45 usr;  23 con; 0-4 aty)
%            Number of variables   :   91 (;  91   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ setIn > leq > elem > pidElem > ordered > snoc > m_Ack > index > cons > #nlpp > tail > s > queue > pidMsg > m_NotNorm > m_NormQ > m_Ldr > m_Halt > m_Down > last > init > host > head > zero > wait > status > setEmpty > q_nil > pids > pendack > norm > nil > nbr_proc > ldr > elid > elec_2 > elec_1 > down > alive > #skF_2 > #skF_11 > #skF_1 > #skF_7 > #skF_3 > #skF_10 > #skF_8 > #skF_5 > #skF_6 > #skF_9 > #skF_12 > #skF_4

%Foreground sorts:

%Background operators:

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

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

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

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

tff(elec_1,type,
    elec_1: $i ).

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

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

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

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

tff('#skF_11',type,
    '#skF_11': $i ).

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

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

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

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

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

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

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

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

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

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

tff('#skF_10',type,
    '#skF_10': $i ).

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

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

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

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

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

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

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

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

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

tff('#skF_9',type,
    '#skF_9': $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_12',type,
    '#skF_12': $i ).

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

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

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

tff(elec_2,type,
    elec_2: $i ).

tff(f_545,negated_conjecture,
    ~ ! [V,W,X] :
        ( ( ! [Y,Z] :
              ( elem(m_Ldr(Z),queue(host(Y)))
             => ~ leq(host(Y),host(Z)) )
          & ! [Y,Z] :
              ( elem(m_Down(Z),queue(host(Y)))
             => ( host(Z) != host(Y) ) )
          & ! [Y,Z] :
              ( elem(m_Halt(Z),queue(host(Y)))
             => ~ leq(host(Y),host(Z)) )
          & ! [Y,Z,Pid0] :
              ( elem(m_Ack(Pid0,Y),queue(host(Z)))
             => ~ leq(host(Y),host(Pid0)) )
          & ! [Y,Z] :
              ( ( ( Z != Y )
                & ( host(Z) = host(Y) ) )
             => ( ~ setIn(Y,alive)
                | ~ setIn(Z,alive) ) )
          & ! [Y,Z] :
              ( ( setIn(Z,alive)
                & elem(m_Ack(Z,Y),queue(host(Z))) )
             => leq(host(Y),index(pendack,host(Z))) )
          & ! [Y,Z] :
              ( ( setIn(Z,alive)
                & ( index(status,host(Z)) = elec_1 ) )
             => ~ elem(m_Ack(Z,Y),queue(host(Z))) )
          & ! [Y] :
              ( ( ( ( index(status,host(Y)) = elec_1 )
                  | ( index(status,host(Y)) = elec_2 ) )
                & setIn(Y,alive) )
             => ( index(elid,host(Y)) = Y ) )
          & ! [Y,Z] :
              ( ( ~ leq(host(Y),host(Z))
                & setIn(Y,alive)
                & setIn(Z,alive)
                & ( index(status,host(Y)) = elec_2 )
                & ( index(status,host(Z)) = elec_2 ) )
             => leq(index(pendack,host(Z)),host(Y)) )
          & ! [Y,Z,Pid0] :
              ( ( setIn(Pid0,alive)
                & elem(m_Down(Z),queue(host(Pid0)))
                & ( host(Z) = host(Y) ) )
             => ~ ( setIn(Y,alive)
                  & ( index(ldr,host(Y)) = host(Y) )
                  & ( index(status,host(Y)) = norm ) ) )
          & ! [Y,Z,Pid0] :
              ( ( setIn(Y,alive)
                & setIn(Pid0,alive)
                & ( host(Pid0) = host(Z) )
                & ( index(status,host(Y)) = elec_2 )
                & ( index(status,host(Pid0)) = elec_2 ) )
             => ~ elem(m_Ack(Y,Z),queue(host(Y))) )
          & ! [Y,Z] :
              ( ( ~ leq(host(Y),host(Z))
                & setIn(Y,alive)
                & setIn(Z,alive)
                & ( index(status,host(Y)) = elec_2 )
                & ( index(status,host(Z)) = elec_2 ) )
             => ~ leq(index(pendack,host(Y)),index(pendack,host(Z))) )
          & ! [Y,Z,Pid0] :
              ( ( ~ leq(index(pendack,host(Pid0)),host(Y))
                & setIn(Pid0,alive)
                & elem(m_Halt(Pid0),queue(host(Z)))
                & ( index(status,host(Pid0)) = elec_2 ) )
             => ~ ( setIn(Y,alive)
                  & ( index(ldr,host(Y)) = host(Y) )
                  & ( index(status,host(Y)) = norm ) ) )
          & ! [Y,Z,Pid20,Pid0] :
              ( ( ! [V0] :
                    ( ( ~ leq(host(Pid0),V0)
                      & leq(s(zero),V0) )
                   => ( setIn(V0,index(down,host(Pid0)))
                      | ( V0 = host(Pid20) ) ) )
                & elem(m_Down(Pid20),queue(host(Pid0)))
                & ( host(Pid0) = host(Z) )
                & ( host(Pid0) = nbr_proc )
                & ( index(status,host(Pid0)) = elec_1 ) )
             => ~ ( setIn(Y,alive)
                  & elem(m_Down(Z),queue(host(Y))) ) )
          & ! [Y,Z,Pid20,Pid0] :
              ( ( setIn(Pid0,alive)
                & elem(m_Ack(Pid0,Z),queue(host(Pid0)))
                & elem(m_Down(Pid20),queue(host(Pid0)))
                & leq(nbr_proc,s(index(pendack,host(Pid0))))
                & ( index(status,host(Pid0)) = elec_2 )
                & ( host(Z) = index(pendack,host(Pid0)) )
                & ( host(Pid20) = s(index(pendack,host(Pid0))) ) )
             => ~ ( setIn(Y,alive)
                  & ( index(ldr,host(Y)) = host(Y) )
                  & ( index(status,host(Y)) = norm ) ) )
          & ( queue(host(X)) = cons(m_NormQ(W),V) ) )
       => ( setIn(X,alive)
         => ( ( index(status,host(X)) != norm )
           => ! [Y,Z,X0,Y0] :
                ( ( host(W) = host(Y0) )
               => ( ( host(X) = host(Y0) )
                 => ( ( setIn(Y0,alive)
                      & elem(m_Down(X0),snoc(V,m_NotNorm(W)))
                      & elem(m_Ack(Y0,Z),snoc(V,m_NotNorm(W)))
                      & leq(nbr_proc,s(index(pendack,host(Y0))))
                      & ( index(status,host(Y0)) = elec_2 )
                      & ( host(Z) = index(pendack,host(Y0)) )
                      & ( host(X0) = s(index(pendack,host(Y0))) ) )
                   => ~ ( setIn(Y,alive)
                        & ( index(ldr,host(Y)) = host(Y) )
                        & ( index(status,host(Y)) = norm ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

tff(f_74,axiom,
    ! [P] : leq(host(P),nbr_proc),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_04) ).

tff(f_309,axiom,
    ! [X,Y] :
      ( ( leq(X,Y)
        & leq(Y,X) )
    <=> ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).

tff(f_113,axiom,
    ! [X,Y] : ( m_Down(X) != m_NotNorm(Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_19) ).

tff(f_230,axiom,
    ! [X,Y,Q] :
      ( elem(X,snoc(Q,Y))
    <=> ( ( X = Y )
        | elem(X,Q) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_47) ).

tff(f_224,axiom,
    ! [X,Y,Q] :
      ( elem(X,cons(Y,Q))
    <=> ( ( X = Y )
        | elem(X,Q) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).

tff(f_95,axiom,
    ! [X,Y,Z] : ( m_Ack(X,Y) != m_NotNorm(Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_13) ).

tff(c_204,plain,
    setIn('#skF_9',alive),
    inference(cnfTransformation,[status(thm)],[f_545]) ).

tff(c_202,plain,
    index(ldr,host('#skF_9')) = host('#skF_9'),
    inference(cnfTransformation,[status(thm)],[f_545]) ).

tff(c_200,plain,
    index(status,host('#skF_9')) = norm,
    inference(cnfTransformation,[status(thm)],[f_545]) ).

tff(c_12,plain,
    ! [P_6] : leq(host(P_6),nbr_proc),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_208,plain,
    index(pendack,host('#skF_12')) = host('#skF_10'),
    inference(cnfTransformation,[status(thm)],[f_545]) ).

tff(c_206,plain,
    s(index(pendack,host('#skF_12'))) = host('#skF_11'),
    inference(cnfTransformation,[status(thm)],[f_545]) ).

tff(c_271,plain,
    s(host('#skF_10')) = host('#skF_11'),
    inference(demodulation,[status(thm),theory(equality)],[c_208,c_206]) ).

tff(c_212,plain,
    leq(nbr_proc,s(index(pendack,host('#skF_12')))),
    inference(cnfTransformation,[status(thm)],[f_545]) ).

tff(c_270,plain,
    leq(nbr_proc,s(host('#skF_10'))),
    inference(demodulation,[status(thm),theory(equality)],[c_208,c_212]) ).

tff(c_272,plain,
    leq(nbr_proc,host('#skF_11')),
    inference(demodulation,[status(thm),theory(equality)],[c_271,c_270]) ).

tff(c_1013,plain,
    ! [Y_330,X_331] :
      ( ( Y_330 = X_331 )
      | ~ leq(Y_330,X_331)
      | ~ leq(X_331,Y_330) ),
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_1047,plain,
    ( ( host('#skF_11') = nbr_proc )
    | ~ leq(host('#skF_11'),nbr_proc) ),
    inference(resolution,[status(thm)],[c_272,c_1013]) ).

tff(c_1068,plain,
    host('#skF_11') = nbr_proc,
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_1047]) ).

tff(c_42,plain,
    ! [Y_29,X_28] : ( m_NotNorm(Y_29) != m_Down(X_28) ),
    inference(cnfTransformation,[status(thm)],[f_113]) ).

tff(c_216,plain,
    elem(m_Down('#skF_11'),snoc('#skF_5',m_NotNorm('#skF_6'))),
    inference(cnfTransformation,[status(thm)],[f_545]) ).

tff(c_2357,plain,
    ! [X_399,Q_400,Y_401] :
      ( elem(X_399,Q_400)
      | ( Y_401 = X_399 )
      | ~ elem(X_399,snoc(Q_400,Y_401)) ),
    inference(cnfTransformation,[status(thm)],[f_230]) ).

tff(c_2377,plain,
    ( elem(m_Down('#skF_11'),'#skF_5')
    | ( m_NotNorm('#skF_6') = m_Down('#skF_11') ) ),
    inference(resolution,[status(thm)],[c_216,c_2357]) ).

tff(c_2396,plain,
    elem(m_Down('#skF_11'),'#skF_5'),
    inference(negUnitSimplification,[status(thm)],[c_42,c_2377]) ).

tff(c_220,plain,
    host('#skF_7') = host('#skF_12'),
    inference(cnfTransformation,[status(thm)],[f_545]) ).

tff(c_228,plain,
    cons(m_NormQ('#skF_6'),'#skF_5') = queue(host('#skF_7')),
    inference(cnfTransformation,[status(thm)],[f_545]) ).

tff(c_268,plain,
    cons(m_NormQ('#skF_6'),'#skF_5') = queue(host('#skF_12')),
    inference(demodulation,[status(thm),theory(equality)],[c_220,c_228]) ).

tff(c_969,plain,
    ! [X_325,Q_326,Y_327] :
      ( ~ elem(X_325,Q_326)
      | elem(X_325,cons(Y_327,Q_326)) ),
    inference(cnfTransformation,[status(thm)],[f_224]) ).

tff(c_975,plain,
    ! [X_325] :
      ( ~ elem(X_325,'#skF_5')
      | elem(X_325,queue(host('#skF_12'))) ),
    inference(superposition,[status(thm),theory(equality)],[c_268,c_969]) ).

tff(c_30,plain,
    ! [Z_15,X_13,Y_14] : ( m_NotNorm(Z_15) != m_Ack(X_13,Y_14) ),
    inference(cnfTransformation,[status(thm)],[f_95]) ).

tff(c_214,plain,
    elem(m_Ack('#skF_12','#skF_10'),snoc('#skF_5',m_NotNorm('#skF_6'))),
    inference(cnfTransformation,[status(thm)],[f_545]) ).

tff(c_2374,plain,
    ( elem(m_Ack('#skF_12','#skF_10'),'#skF_5')
    | ( m_Ack('#skF_12','#skF_10') = m_NotNorm('#skF_6') ) ),
    inference(resolution,[status(thm)],[c_214,c_2357]) ).

tff(c_2393,plain,
    elem(m_Ack('#skF_12','#skF_10'),'#skF_5'),
    inference(negUnitSimplification,[status(thm)],[c_30,c_2374]) ).

tff(c_218,plain,
    setIn('#skF_12',alive),
    inference(cnfTransformation,[status(thm)],[f_545]) ).

tff(c_184,plain,
    ! [Y_117] : leq(Y_117,Y_117),
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_1084,plain,
    s(host('#skF_10')) = nbr_proc,
    inference(demodulation,[status(thm),theory(equality)],[c_1068,c_271]) ).

tff(c_210,plain,
    index(status,host('#skF_12')) = elec_2,
    inference(cnfTransformation,[status(thm)],[f_545]) ).

tff(c_230,plain,
    ! [Y_203,Pid0_206,Pid20_205,Z_204] :
      ( ( index(status,host(Y_203)) != norm )
      | ( index(ldr,host(Y_203)) != host(Y_203) )
      | ~ setIn(Y_203,alive)
      | ( s(index(pendack,host(Pid0_206))) != host(Pid20_205) )
      | ( index(pendack,host(Pid0_206)) != host(Z_204) )
      | ( index(status,host(Pid0_206)) != elec_2 )
      | ~ leq(nbr_proc,s(index(pendack,host(Pid0_206))))
      | ~ elem(m_Down(Pid20_205),queue(host(Pid0_206)))
      | ~ elem(m_Ack(Pid0_206,Z_204),queue(host(Pid0_206)))
      | ~ setIn(Pid0_206,alive) ),
    inference(cnfTransformation,[status(thm)],[f_545]) ).

tff(c_6360,plain,
    ! [Pid0_551,Pid20_552,Z_553] :
      ( ( s(index(pendack,host(Pid0_551))) != host(Pid20_552) )
      | ( index(pendack,host(Pid0_551)) != host(Z_553) )
      | ( index(status,host(Pid0_551)) != elec_2 )
      | ~ leq(nbr_proc,s(index(pendack,host(Pid0_551))))
      | ~ elem(m_Down(Pid20_552),queue(host(Pid0_551)))
      | ~ elem(m_Ack(Pid0_551,Z_553),queue(host(Pid0_551)))
      | ~ setIn(Pid0_551,alive) ),
    inference(splitLeft,[status(thm)],[c_230]) ).

tff(c_6377,plain,
    ! [Pid20_552,Z_553] :
      ( ( s(index(pendack,host('#skF_12'))) != host(Pid20_552) )
      | ( index(pendack,host('#skF_12')) != host(Z_553) )
      | ( index(status,host('#skF_12')) != elec_2 )
      | ~ leq(nbr_proc,s(host('#skF_10')))
      | ~ elem(m_Down(Pid20_552),queue(host('#skF_12')))
      | ~ elem(m_Ack('#skF_12',Z_553),queue(host('#skF_12')))
      | ~ setIn('#skF_12',alive) ),
    inference(superposition,[status(thm),theory(equality)],[c_208,c_6360]) ).

tff(c_6386,plain,
    ! [Pid20_552,Z_553] :
      ( ( host(Pid20_552) != nbr_proc )
      | ( host(Z_553) != host('#skF_10') )
      | ~ elem(m_Down(Pid20_552),queue(host('#skF_12')))
      | ~ elem(m_Ack('#skF_12',Z_553),queue(host('#skF_12'))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_218,c_184,c_1084,c_210,c_208,c_1084,c_208,c_6377]) ).

tff(c_39033,plain,
    ! [Z_1125] :
      ( ( host(Z_1125) != host('#skF_10') )
      | ~ elem(m_Ack('#skF_12',Z_1125),queue(host('#skF_12'))) ),
    inference(splitLeft,[status(thm)],[c_6386]) ).

tff(c_39038,plain,
    ! [Z_1126] :
      ( ( host(Z_1126) != host('#skF_10') )
      | ~ elem(m_Ack('#skF_12',Z_1126),'#skF_5') ),
    inference(resolution,[status(thm)],[c_975,c_39033]) ).

tff(c_39043,plain,
    $false,
    inference(resolution,[status(thm)],[c_2393,c_39038]) ).

tff(c_39045,plain,
    ! [Pid20_1127] :
      ( ( host(Pid20_1127) != nbr_proc )
      | ~ elem(m_Down(Pid20_1127),queue(host('#skF_12'))) ),
    inference(splitRight,[status(thm)],[c_6386]) ).

tff(c_39056,plain,
    ! [Pid20_1128] :
      ( ( host(Pid20_1128) != nbr_proc )
      | ~ elem(m_Down(Pid20_1128),'#skF_5') ),
    inference(resolution,[status(thm)],[c_975,c_39045]) ).

tff(c_39065,plain,
    host('#skF_11') != nbr_proc,
    inference(resolution,[status(thm)],[c_2396,c_39056]) ).

tff(c_39069,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1068,c_39065]) ).

tff(c_40251,plain,
    ! [Y_1165] :
      ( ( index(status,host(Y_1165)) != norm )
      | ( index(ldr,host(Y_1165)) != host(Y_1165) )
      | ~ setIn(Y_1165,alive) ),
    inference(splitRight,[status(thm)],[c_230]) ).

tff(c_40260,plain,
    ( ( index(ldr,host('#skF_9')) != host('#skF_9') )
    | ~ setIn('#skF_9',alive) ),
    inference(superposition,[status(thm),theory(equality)],[c_200,c_40251]) ).

tff(c_40271,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_204,c_202,c_40260]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV465+1 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.16/0.36  % Computer : n015.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Thu Aug  3 23:32:59 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 20.01/8.46  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.01/8.47  
% 20.01/8.47  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.01/8.50  
% 20.01/8.50  Inference rules
% 20.01/8.50  ----------------------
% 20.01/8.50  #Ref     : 30
% 20.01/8.50  #Sup     : 9017
% 20.01/8.50  #Fact    : 26
% 20.01/8.50  #Define  : 0
% 20.01/8.50  #Split   : 19
% 20.01/8.50  #Chain   : 0
% 20.01/8.50  #Close   : 0
% 20.01/8.50  
% 20.01/8.50  Ordering : KBO
% 20.01/8.50  
% 20.01/8.50  Simplification rules
% 20.01/8.50  ----------------------
% 20.01/8.50  #Subsume      : 2654
% 20.01/8.50  #Demod        : 4081
% 20.01/8.50  #Tautology    : 2196
% 20.01/8.50  #SimpNegUnit  : 370
% 20.01/8.50  #BackRed      : 57
% 20.01/8.50  
% 20.01/8.50  #Partial instantiations: 0
% 20.01/8.50  #Strategies tried      : 1
% 20.01/8.50  
% 20.01/8.50  Timing (in seconds)
% 20.01/8.50  ----------------------
% 20.01/8.51  Preprocessing        : 0.73
% 20.01/8.51  Parsing              : 0.32
% 20.01/8.51  CNF conversion       : 0.06
% 20.01/8.51  Main loop            : 6.67
% 20.01/8.51  Inferencing          : 1.30
% 20.01/8.51  Reduction            : 2.76
% 20.01/8.51  Demodulation         : 1.96
% 20.01/8.51  BG Simplification    : 0.10
% 20.01/8.51  Subsumption          : 2.12
% 20.01/8.51  Abstraction          : 0.11
% 20.01/8.51  MUC search           : 0.00
% 20.01/8.51  Cooper               : 0.00
% 20.01/8.51  Total                : 7.45
% 20.01/8.51  Index Insertion      : 0.00
% 20.01/8.51  Index Deletion       : 0.00
% 20.01/8.51  Index Matching       : 0.00
% 20.01/8.51  BG Taut test         : 0.00
%------------------------------------------------------------------------------