TSTP Solution File: SWV466+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV466+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/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 : n016.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 47.82s 33.22s
% Output   : CNFRefutation 47.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   61
% Syntax   : Number of formulae    :  129 (  41 unt;  53 typ;   0 def)
%            Number of atoms       :  241 (  95 equ)
%            Maximal formula atoms :   92 (   3 avg)
%            Number of connectives :  256 (  91   ~;  71   |;  63   &)
%                                         (   5 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (   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    :   48 (  48 usr;  26 con; 0-4 aty)
%            Number of variables   :  100 (; 100   !;   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 > acks > #skF_2 > #skF_11 > #skF_1 > #skF_9 > #skF_7 > #skF_3 > #skF_10 > #skF_14 > #skF_5 > #skF_6 > #skF_13 > #skF_8 > #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(acks,type,
    acks: $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('#skF_9',type,
    '#skF_9': ( $i * $i * $i * $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(setIn,type,
    setIn: ( $i * $i ) > $o ).

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

tff('#skF_14',type,
    '#skF_14': $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('#skF_13',type,
    '#skF_13': $i ).

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

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

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

tff('#skF_8',type,
    '#skF_8': $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_555,negated_conjecture,
    ~ ! [V,W,X,Y] :
        ( ( ! [Z,Pid0] :
              ( elem(m_Ldr(Pid0),queue(host(Z)))
             => ~ leq(host(Z),host(Pid0)) )
          & ! [Z,Pid0] :
              ( elem(m_Down(Pid0),queue(host(Z)))
             => ( host(Pid0) != host(Z) ) )
          & ! [Z,Pid0] :
              ( elem(m_Halt(Pid0),queue(host(Z)))
             => ~ leq(host(Z),host(Pid0)) )
          & ! [Z,Pid20,Pid0] :
              ( elem(m_Ack(Pid0,Z),queue(host(Pid20)))
             => ~ leq(host(Z),host(Pid0)) )
          & ! [Z,Pid0] :
              ( ( ( Pid0 != Z )
                & ( host(Pid0) = host(Z) ) )
             => ( ~ setIn(Z,alive)
                | ~ setIn(Pid0,alive) ) )
          & ! [Z,Pid0] :
              ( ( setIn(Pid0,alive)
                & elem(m_Ack(Pid0,Z),queue(host(Pid0))) )
             => leq(host(Z),index(pendack,host(Pid0))) )
          & ! [Z,Pid0] :
              ( ( setIn(Pid0,alive)
                & ( index(status,host(Pid0)) = elec_1 ) )
             => ~ elem(m_Ack(Pid0,Z),queue(host(Pid0))) )
          & ! [Z] :
              ( ( ( ( index(status,host(Z)) = elec_1 )
                  | ( index(status,host(Z)) = elec_2 ) )
                & setIn(Z,alive) )
             => ( index(elid,host(Z)) = Z ) )
          & ! [Z,Pid20,Pid0] :
              ( ( setIn(Pid0,alive)
                & elem(m_Down(Pid20),queue(host(Pid0)))
                & ( host(Pid20) = host(Z) ) )
             => ~ ( setIn(Z,alive)
                  & ( index(ldr,host(Z)) = host(Z) )
                  & ( index(status,host(Z)) = norm ) ) )
          & ! [Z,Pid0] :
              ( ( ~ leq(host(Z),host(Pid0))
                & setIn(Z,alive)
                & setIn(Pid0,alive)
                & ( index(status,host(Z)) = elec_2 )
                & ( index(status,host(Pid0)) = elec_2 ) )
             => leq(index(pendack,host(Pid0)),host(Z)) )
          & ! [Z,Pid20,Pid0] :
              ( ( setIn(Z,alive)
                & setIn(Pid0,alive)
                & ( host(Pid0) = host(Pid20) )
                & ( index(status,host(Z)) = elec_2 )
                & ( index(status,host(Pid0)) = elec_2 ) )
             => ~ elem(m_Ack(Z,Pid20),queue(host(Z))) )
          & ! [Z,Pid0] :
              ( ( ~ leq(host(Z),host(Pid0))
                & setIn(Z,alive)
                & setIn(Pid0,alive)
                & ( index(status,host(Z)) = elec_2 )
                & ( index(status,host(Pid0)) = elec_2 ) )
             => ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0))) )
          & ! [Z,Pid20,Pid0] :
              ( ( ~ leq(index(pendack,host(Pid0)),host(Z))
                & setIn(Pid0,alive)
                & elem(m_Halt(Pid0),queue(host(Pid20)))
                & ( index(status,host(Pid0)) = elec_2 ) )
             => ~ ( setIn(Z,alive)
                  & ( index(ldr,host(Z)) = host(Z) )
                  & ( index(status,host(Z)) = norm ) ) )
          & ! [Z,Pid30,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) = nbr_proc )
                & ( host(Pid0) = host(Pid30) )
                & ( index(status,host(Pid0)) = elec_1 ) )
             => ~ ( setIn(Z,alive)
                  & elem(m_Down(Pid30),queue(host(Z))) ) )
          & ! [Z,Pid30,Pid20,Pid0] :
              ( ( setIn(Pid0,alive)
                & elem(m_Down(Pid20),queue(host(Pid0)))
                & elem(m_Ack(Pid0,Pid30),queue(host(Pid0)))
                & leq(nbr_proc,s(index(pendack,host(Pid0))))
                & ( index(status,host(Pid0)) = elec_2 )
                & ( host(Pid30) = index(pendack,host(Pid0)) )
                & ( host(Pid20) = s(index(pendack,host(Pid0))) ) )
             => ~ ( setIn(Z,alive)
                  & ( index(ldr,host(Z)) = host(Z) )
                  & ( index(status,host(Z)) = norm ) ) )
          & ( queue(host(X)) = cons(m_Down(Y),V) ) )
       => ( setIn(X,alive)
         => ( leq(host(X),host(Y))
           => ( ( ( index(status,host(X)) = elec_2 )
                & ( host(Y) = index(pendack,host(X)) ) )
             => ( leq(nbr_proc,index(pendack,host(X)))
               => ! [Z] :
                    ( setIn(host(Z),index(acks,host(X)))
                   => ! [V0] :
                        ( ( host(X) = host(V0) )
                       => ! [W0,X0,Y0] :
                            ( ( host(Z) = host(Y0) )
                           => ( ( host(X) != host(Y0) )
                             => ( ( setIn(Y0,alive)
                                  & leq(nbr_proc,s(index(pendack,host(Y0))))
                                  & elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X)))
                                  & elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Ldr(X)))
                                  & ( index(status,host(Y0)) = elec_2 )
                                  & ( host(W0) = index(pendack,host(Y0)) )
                                  & ( host(X0) = s(index(pendack,host(Y0))) ) )
                               => ~ ( setIn(V0,alive)
                                    & ( host(X) = host(V0) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

tff(f_74,axiom,
    ! [P] : leq(host(P),nbr_proc),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).

tff(f_309,axiom,
    ! [X,Y] :
      ( ( leq(X,Y)
        & leq(Y,X) )
    <=> ( X = Y ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).

tff(f_224,axiom,
    ! [X,Y,Q] :
      ( elem(X,cons(Y,Q))
    <=> ( ( X = Y )
        | elem(X,Q) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).

tff(f_319,axiom,
    ! [X,Y] :
      ( leq(X,Y)
    <=> leq(s(X),s(Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_63) ).

tff(f_325,axiom,
    ! [X,Y] :
      ( leq(X,s(Y))
    <=> ( ( X = s(Y) )
        | leq(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_64) ).

tff(f_98,axiom,
    ! [X,Y,Z] : ( m_Ack(X,Y) != m_Ldr(Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_14) ).

tff(f_230,axiom,
    ! [X,Y,Q] :
      ( elem(X,snoc(Q,Y))
    <=> ( ( X = Y )
        | elem(X,Q) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_47) ).

tff(c_234,plain,
    setIn('#skF_7',alive),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_230,plain,
    index(status,host('#skF_7')) = elec_2,
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_216,plain,
    setIn('#skF_14',alive),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_208,plain,
    index(status,host('#skF_14')) = elec_2,
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_206,plain,
    index(pendack,host('#skF_14')) = host('#skF_12'),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_2260,plain,
    ! [Pid0_418,Z_419] :
      ( leq(index(pendack,host(Pid0_418)),host(Z_419))
      | ( index(status,host(Pid0_418)) != elec_2 )
      | ( index(status,host(Z_419)) != elec_2 )
      | ~ setIn(Pid0_418,alive)
      | ~ setIn(Z_419,alive)
      | leq(host(Z_419),host(Pid0_418)) ),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_2285,plain,
    ! [Z_419] :
      ( leq(host('#skF_12'),host(Z_419))
      | ( index(status,host('#skF_14')) != elec_2 )
      | ( index(status,host(Z_419)) != elec_2 )
      | ~ setIn('#skF_14',alive)
      | ~ setIn(Z_419,alive)
      | leq(host(Z_419),host('#skF_14')) ),
    inference(superposition,[status(thm),theory(equality)],[c_206,c_2260]) ).

tff(c_2302,plain,
    ! [Z_419] :
      ( leq(host('#skF_12'),host(Z_419))
      | ( index(status,host(Z_419)) != elec_2 )
      | ~ setIn(Z_419,alive)
      | leq(host(Z_419),host('#skF_14')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_216,c_208,c_2285]) ).

tff(c_218,plain,
    host('#skF_7') != host('#skF_14'),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

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

tff(c_228,plain,
    index(pendack,host('#skF_7')) = host('#skF_8'),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_226,plain,
    leq(nbr_proc,index(pendack,host('#skF_7'))),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_275,plain,
    leq(nbr_proc,host('#skF_8')),
    inference(demodulation,[status(thm),theory(equality)],[c_228,c_226]) ).

tff(c_829,plain,
    ! [Y_344,X_345] :
      ( ( Y_344 = X_345 )
      | ~ leq(Y_344,X_345)
      | ~ leq(X_345,Y_344) ),
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_857,plain,
    ( ( host('#skF_8') = nbr_proc )
    | ~ leq(host('#skF_8'),nbr_proc) ),
    inference(resolution,[status(thm)],[c_275,c_829]) ).

tff(c_883,plain,
    host('#skF_8') = nbr_proc,
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_857]) ).

tff(c_894,plain,
    index(pendack,host('#skF_7')) = nbr_proc,
    inference(demodulation,[status(thm),theory(equality)],[c_883,c_228]) ).

tff(c_2401,plain,
    ! [Z_426,Pid0_427] :
      ( ~ leq(index(pendack,host(Z_426)),index(pendack,host(Pid0_427)))
      | ( index(status,host(Pid0_427)) != elec_2 )
      | ( index(status,host(Z_426)) != elec_2 )
      | ~ setIn(Pid0_427,alive)
      | ~ setIn(Z_426,alive)
      | leq(host(Z_426),host(Pid0_427)) ),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_2428,plain,
    ! [Pid0_427] :
      ( ~ leq(host('#skF_12'),index(pendack,host(Pid0_427)))
      | ( index(status,host(Pid0_427)) != elec_2 )
      | ( index(status,host('#skF_14')) != elec_2 )
      | ~ setIn(Pid0_427,alive)
      | ~ setIn('#skF_14',alive)
      | leq(host('#skF_14'),host(Pid0_427)) ),
    inference(superposition,[status(thm),theory(equality)],[c_206,c_2401]) ).

tff(c_57881,plain,
    ! [Pid0_1480] :
      ( ~ leq(host('#skF_12'),index(pendack,host(Pid0_1480)))
      | ( index(status,host(Pid0_1480)) != elec_2 )
      | ~ setIn(Pid0_1480,alive)
      | leq(host('#skF_14'),host(Pid0_1480)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_216,c_208,c_2428]) ).

tff(c_57916,plain,
    ( ~ leq(host('#skF_12'),nbr_proc)
    | ( index(status,host('#skF_7')) != elec_2 )
    | ~ setIn('#skF_7',alive)
    | leq(host('#skF_14'),host('#skF_7')) ),
    inference(superposition,[status(thm),theory(equality)],[c_894,c_57881]) ).

tff(c_57941,plain,
    leq(host('#skF_14'),host('#skF_7')),
    inference(demodulation,[status(thm),theory(equality)],[c_234,c_230,c_12,c_57916]) ).

tff(c_180,plain,
    ! [Y_117,X_116] :
      ( ( Y_117 = X_116 )
      | ~ leq(Y_117,X_116)
      | ~ leq(X_116,Y_117) ),
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_57981,plain,
    ( ( host('#skF_7') = host('#skF_14') )
    | ~ leq(host('#skF_7'),host('#skF_14')) ),
    inference(resolution,[status(thm)],[c_57941,c_180]) ).

tff(c_58004,plain,
    ~ leq(host('#skF_7'),host('#skF_14')),
    inference(negUnitSimplification,[status(thm)],[c_218,c_57981]) ).

tff(c_58008,plain,
    ( leq(host('#skF_12'),host('#skF_7'))
    | ( index(status,host('#skF_7')) != elec_2 )
    | ~ setIn('#skF_7',alive) ),
    inference(resolution,[status(thm)],[c_2302,c_58004]) ).

tff(c_58047,plain,
    leq(host('#skF_12'),host('#skF_7')),
    inference(demodulation,[status(thm),theory(equality)],[c_234,c_230,c_58008]) ).

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

tff(c_236,plain,
    cons(m_Down('#skF_8'),'#skF_5') = queue(host('#skF_7')),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_116,plain,
    ! [Y_82,Q_83] : elem(Y_82,cons(Y_82,Q_83)),
    inference(cnfTransformation,[status(thm)],[f_224]) ).

tff(c_531,plain,
    elem(m_Down('#skF_8'),queue(host('#skF_7'))),
    inference(superposition,[status(thm),theory(equality)],[c_236,c_116]) ).

tff(c_717,plain,
    ! [Z_322,Pid0_323] :
      ( ( host(Z_322) != host(Pid0_323) )
      | ~ elem(m_Down(Pid0_323),queue(host(Z_322))) ),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_727,plain,
    host('#skF_7') != host('#skF_8'),
    inference(resolution,[status(thm)],[c_531,c_717]) ).

tff(c_232,plain,
    leq(host('#skF_7'),host('#skF_8')),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_855,plain,
    ( ( host('#skF_7') = host('#skF_8') )
    | ~ leq(host('#skF_8'),host('#skF_7')) ),
    inference(resolution,[status(thm)],[c_232,c_829]) ).

tff(c_880,plain,
    ~ leq(host('#skF_8'),host('#skF_7')),
    inference(negUnitSimplification,[status(thm)],[c_727,c_855]) ).

tff(c_1002,plain,
    ~ leq(nbr_proc,host('#skF_7')),
    inference(demodulation,[status(thm),theory(equality)],[c_883,c_880]) ).

tff(c_204,plain,
    s(index(pendack,host('#skF_14'))) = host('#skF_13'),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_278,plain,
    s(host('#skF_12')) = host('#skF_13'),
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_204]) ).

tff(c_214,plain,
    leq(nbr_proc,s(index(pendack,host('#skF_14')))),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_277,plain,
    leq(nbr_proc,s(host('#skF_12'))),
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_214]) ).

tff(c_279,plain,
    leq(nbr_proc,host('#skF_13')),
    inference(demodulation,[status(thm),theory(equality)],[c_278,c_277]) ).

tff(c_859,plain,
    ( ( host('#skF_13') = nbr_proc )
    | ~ leq(host('#skF_13'),nbr_proc) ),
    inference(resolution,[status(thm)],[c_279,c_829]) ).

tff(c_886,plain,
    host('#skF_13') = nbr_proc,
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_859]) ).

tff(c_923,plain,
    s(host('#skF_12')) = nbr_proc,
    inference(demodulation,[status(thm),theory(equality)],[c_886,c_278]) ).

tff(c_188,plain,
    ! [X_121,Y_122] :
      ( leq(s(X_121),s(Y_122))
      | ~ leq(X_121,Y_122) ),
    inference(cnfTransformation,[status(thm)],[f_319]) ).

tff(c_973,plain,
    ! [Y_122] :
      ( leq(nbr_proc,s(Y_122))
      | ~ leq(host('#skF_12'),Y_122) ),
    inference(superposition,[status(thm),theory(equality)],[c_923,c_188]) ).

tff(c_58108,plain,
    leq(nbr_proc,s(host('#skF_7'))),
    inference(resolution,[status(thm)],[c_58047,c_973]) ).

tff(c_192,plain,
    ! [X_123,Y_124] :
      ( leq(X_123,Y_124)
      | ( s(Y_124) = X_123 )
      | ~ leq(X_123,s(Y_124)) ),
    inference(cnfTransformation,[status(thm)],[f_325]) ).

tff(c_58133,plain,
    ( leq(nbr_proc,host('#skF_7'))
    | ( s(host('#skF_7')) = nbr_proc ) ),
    inference(resolution,[status(thm)],[c_58108,c_192]) ).

tff(c_58150,plain,
    s(host('#skF_7')) = nbr_proc,
    inference(negUnitSimplification,[status(thm)],[c_1002,c_58133]) ).

tff(c_1017,plain,
    ! [X_348,Y_349] :
      ( leq(X_348,Y_349)
      | ~ leq(s(X_348),s(Y_349)) ),
    inference(cnfTransformation,[status(thm)],[f_319]) ).

tff(c_1023,plain,
    ! [X_348] :
      ( leq(X_348,host('#skF_12'))
      | ~ leq(s(X_348),nbr_proc) ),
    inference(superposition,[status(thm),theory(equality)],[c_923,c_1017]) ).

tff(c_58375,plain,
    ( leq(host('#skF_7'),host('#skF_12'))
    | ~ leq(nbr_proc,nbr_proc) ),
    inference(superposition,[status(thm),theory(equality)],[c_58150,c_1023]) ).

tff(c_58519,plain,
    leq(host('#skF_7'),host('#skF_12')),
    inference(demodulation,[status(thm),theory(equality)],[c_184,c_58375]) ).

tff(c_58570,plain,
    ( ( host('#skF_7') = host('#skF_12') )
    | ~ leq(host('#skF_12'),host('#skF_7')) ),
    inference(resolution,[status(thm)],[c_58519,c_180]) ).

tff(c_58595,plain,
    host('#skF_7') = host('#skF_12'),
    inference(demodulation,[status(thm),theory(equality)],[c_58047,c_58570]) ).

tff(c_58622,plain,
    index(status,host('#skF_12')) = elec_2,
    inference(demodulation,[status(thm),theory(equality)],[c_58595,c_230]) ).

tff(c_32,plain,
    ! [Z_18,X_16,Y_17] : ( m_Ldr(Z_18) != m_Ack(X_16,Y_17) ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_210,plain,
    elem(m_Ack('#skF_14','#skF_12'),snoc(queue(host('#skF_14')),m_Ldr('#skF_7'))),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_2327,plain,
    ! [X_421,Q_422,Y_423] :
      ( elem(X_421,Q_422)
      | ( Y_423 = X_421 )
      | ~ elem(X_421,snoc(Q_422,Y_423)) ),
    inference(cnfTransformation,[status(thm)],[f_230]) ).

tff(c_2341,plain,
    ( elem(m_Ack('#skF_14','#skF_12'),queue(host('#skF_14')))
    | ( m_Ack('#skF_14','#skF_12') = m_Ldr('#skF_7') ) ),
    inference(resolution,[status(thm)],[c_210,c_2327]) ).

tff(c_2363,plain,
    elem(m_Ack('#skF_14','#skF_12'),queue(host('#skF_14'))),
    inference(negUnitSimplification,[status(thm)],[c_32,c_2341]) ).

tff(c_244,plain,
    ! [Z_201,Pid20_202,Pid0_203] :
      ( ~ elem(m_Ack(Z_201,Pid20_202),queue(host(Z_201)))
      | ( index(status,host(Pid0_203)) != elec_2 )
      | ( index(status,host(Z_201)) != elec_2 )
      | ( host(Pid20_202) != host(Pid0_203) )
      | ~ setIn(Pid0_203,alive)
      | ~ setIn(Z_201,alive) ),
    inference(cnfTransformation,[status(thm)],[f_555]) ).

tff(c_2463,plain,
    ! [Pid0_203] :
      ( ( index(status,host(Pid0_203)) != elec_2 )
      | ( index(status,host('#skF_14')) != elec_2 )
      | ( host(Pid0_203) != host('#skF_12') )
      | ~ setIn(Pid0_203,alive)
      | ~ setIn('#skF_14',alive) ),
    inference(resolution,[status(thm)],[c_2363,c_244]) ).

tff(c_177801,plain,
    ! [Pid0_26049] :
      ( ( index(status,host(Pid0_26049)) != elec_2 )
      | ( host(Pid0_26049) != host('#skF_12') )
      | ~ setIn(Pid0_26049,alive) ),
    inference(demodulation,[status(thm),theory(equality)],[c_216,c_208,c_2463]) ).

tff(c_177807,plain,
    ( ( index(status,host('#skF_12')) != elec_2 )
    | ( host('#skF_7') != host('#skF_12') )
    | ~ setIn('#skF_7',alive) ),
    inference(superposition,[status(thm),theory(equality)],[c_58595,c_177801]) ).

tff(c_177829,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_234,c_58595,c_58622,c_177807]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV466+1 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug  3 23:34:53 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 47.82/33.22  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.82/33.23  
% 47.82/33.23  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 47.82/33.26  
% 47.82/33.26  Inference rules
% 47.82/33.26  ----------------------
% 47.82/33.26  #Ref     : 57
% 47.82/33.26  #Sup     : 41481
% 47.82/33.26  #Fact    : 58
% 47.82/33.26  #Define  : 0
% 47.82/33.26  #Split   : 40
% 47.82/33.26  #Chain   : 0
% 47.82/33.26  #Close   : 0
% 47.82/33.26  
% 47.82/33.26  Ordering : KBO
% 47.82/33.26  
% 47.82/33.26  Simplification rules
% 47.82/33.26  ----------------------
% 47.82/33.26  #Subsume      : 13566
% 47.82/33.26  #Demod        : 19593
% 47.82/33.26  #Tautology    : 8511
% 47.82/33.26  #SimpNegUnit  : 1033
% 47.82/33.26  #BackRed      : 164
% 47.82/33.26  
% 47.82/33.26  #Partial instantiations: 26670
% 47.82/33.26  #Strategies tried      : 1
% 47.82/33.26  
% 47.82/33.26  Timing (in seconds)
% 47.82/33.26  ----------------------
% 47.82/33.26  Preprocessing        : 0.73
% 47.82/33.26  Parsing              : 0.32
% 47.82/33.26  CNF conversion       : 0.06
% 47.82/33.26  Main loop            : 31.47
% 47.82/33.26  Inferencing          : 3.97
% 47.82/33.26  Reduction            : 13.12
% 47.82/33.26  Demodulation         : 9.40
% 47.82/33.26  BG Simplification    : 0.21
% 47.82/33.26  Subsumption          : 12.44
% 47.82/33.26  Abstraction          : 0.32
% 47.82/33.27  MUC search           : 0.00
% 47.82/33.27  Cooper               : 0.00
% 47.82/33.27  Total                : 32.26
% 47.82/33.27  Index Insertion      : 0.00
% 47.82/33.27  Index Deletion       : 0.00
% 47.82/33.27  Index Matching       : 0.00
% 47.82/33.27  BG Taut test         : 0.00
%------------------------------------------------------------------------------