%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV464+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 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 May 5 05:23:20 PM UTC 2026
% Result : Theorem 0.60s 1.61s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_66)
% Comments :
%------------------------------------------------------------------------------
fof(conj,conjecture,
! [X12,X13,X5,X6] :
( ( ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> host(X14) != host(X7) )
& ! [X7,X14] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X7),queue(host(X14))) )
=> leq(host(X7),index(pendack,host(X14))) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = elec_1 )
=> ~ elem(m_Ack(X14,X7),queue(host(X14))) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X15),queue(host(X7))) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& elem(m_Halt(X14),queue(host(X15)))
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X16,X15,X14] :
( ( ! [X17] :
( ( ~ leq(host(X14),X17)
& leq(s(zero),X17) )
=> ( setIn(X17,index(down,host(X14)))
| X17 = host(X15) ) )
& elem(m_Down(X15),queue(host(X14)))
& host(X14) = nbr_proc
& host(X14) = host(X16)
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X7,alive)
& elem(m_Down(X16),queue(host(X7))) ) )
& ! [X7,X16,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& elem(m_Ack(X14,X16),queue(host(X14)))
& leq(nbr_proc,s(index(pendack,host(X14))))
& index(status,host(X14)) = elec_2
& host(X16) = index(pendack,host(X14))
& host(X15) = s(index(pendack,host(X14))) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& queue(host(X5)) = cons(m_Ack(X13,X6),X12) )
=> ( setIn(X5,alive)
=> ( ( index(elid,host(X5)) = X13
& index(status,host(X5)) = elec_2
& host(X6) = index(pendack,host(X5)) )
=> ( ~ leq(nbr_proc,index(pendack,host(X5)))
=> ! [X7,X18,X19,X20] :
( s(index(pendack,host(X5))) = host(X20)
=> ( host(X5) != host(X20)
=> ( ( setIn(X20,alive)
& leq(nbr_proc,s(index(pendack,host(X20))))
& elem(m_Down(X19),snoc(queue(host(X20)),m_Halt(X5)))
& elem(m_Ack(X20,X18),snoc(queue(host(X20)),m_Halt(X5)))
& index(status,host(X20)) = elec_2
& host(X18) = index(pendack,host(X20))
& host(X19) = s(index(pendack,host(X20))) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(axiom_58,axiom,
! [X5] : ~ leq(s(X5),X5),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
fof(axiom_65,axiom,
! [X5] : ~ setIn(X5,setEmpty),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_65) ).
fof(axiom_45,axiom,
! [X5] : ~ elem(X5,q_nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_45) ).
fof(axiom_54,axiom,
! [X5,X4] :
( ordered(snoc(X4,X5))
<=> ( ordered(X4)
& ! [X6] :
( ( elem(X6,X4)
& pidElem(X5)
& pidElem(X6)
& host(pidMsg(X6)) = host(pidMsg(X5)) )
=> leq(pidMsg(X6),pidMsg(X5)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_54) ).
fof(axiom_53,axiom,
! [X5,X4] :
( ordered(cons(X5,X4))
<=> ( ordered(X4)
& ! [X6] :
( ( elem(X6,X4)
& pidElem(X5)
& pidElem(X6)
& host(pidMsg(X6)) = host(pidMsg(X5)) )
=> leq(pidMsg(X5),pidMsg(X6)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_53) ).
fof(axiom_57,axiom,
! [X4,X5,X6] :
( ( ordered(cons(m_Halt(X5),X4))
& host(X5) = host(X6)
& elem(m_Down(X6),X4) )
=> leq(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_57) ).
fof(axiom,axiom,
! [X1,X2] :
( elem(m_Ack(X1,X2),queue(host(X1)))
=> ( setIn(X1,pids)
& setIn(X2,pids) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom) ).
fof(axiom_55,axiom,
! [X4,X5,X6] :
( ordered(X4)
=> ordered(snoc(X4,m_Ack(X5,X6))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_55) ).
fof(axiom_46,axiom,
! [X5,X6,X4] :
( elem(X5,cons(X6,X4))
<=> ( X5 = X6
| elem(X5,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(axiom_47,axiom,
! [X5,X6,X4] :
( elem(X5,snoc(X4,X6))
<=> ( X5 = X6
| elem(X5,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
fof(axiom_44,axiom,
! [X5,X6,X4] : snoc(cons(X5,X4),X6) = cons(X5,snoc(X4,X6)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_44) ).
fof(axiom_62,axiom,
! [X5,X6,X7] :
( ( leq(X5,X6)
& leq(X6,X7) )
=> leq(X5,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_62) ).
fof(axiom_63,axiom,
! [X5,X6] :
( leq(X5,X6)
<=> leq(s(X5),s(X6)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_63) ).
fof(axiom_64,axiom,
! [X5,X6] :
( leq(X5,s(X6))
<=> ( X5 = s(X6)
| leq(X5,X6) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
fof(axiom_56,axiom,
! [X4,X5] :
( ordered(X4)
=> ordered(snoc(X4,m_Ldr(X5))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_56) ).
fof(axiom_61,axiom,
! [X5,X6] :
( ( leq(X5,X6)
& leq(X6,X5) )
<=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(axiom_31,axiom,
! [X8,X9,X10,X11] :
( X8 != X9
=> m_Ack(X8,X10) != m_Ack(X9,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_31) ).
fof(axiom_32,axiom,
! [X8,X9,X10,X11] :
( X10 != X11
=> m_Ack(X8,X10) != m_Ack(X9,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_32) ).
fof(axiom_01,axiom,
! [X3,X4] :
( s(host(X3)) = host(X4)
=> host(X3) != host(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_01) ).
fof(axiom_38,axiom,
! [X6,X4] : init(snoc(X4,X6)) = X4,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_38) ).
fof(axiom_37,axiom,
! [X6,X4] : last(snoc(X4,X6)) = X6,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_37) ).
fof(axiom_36,axiom,
! [X5,X4] : tail(cons(X5,X4)) = X4,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_36) ).
fof(axiom_35,axiom,
! [X5,X4] : head(cons(X5,X4)) = X5,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_35) ).
fof(axiom_48,axiom,
! [X5] :
( pidElem(X5)
<=> ? [X6] :
( X5 = m_Halt(X6)
| X5 = m_Down(X6) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_48) ).
fof(axiom_60,axiom,
! [X5,X6] :
( leq(X5,X6)
| leq(X6,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_60) ).
fof(axiom_40,axiom,
! [X4] :
( X4 = q_nil
| X4 = snoc(init(X4),last(X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_40) ).
fof(axiom_39,axiom,
! [X4] :
( X4 = q_nil
| X4 = cons(head(X4),tail(X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_39) ).
fof(axiom_15,axiom,
! [X5,X6,X7] : m_Ack(X5,X6) != m_NormQ(X7),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_15) ).
fof(axiom_14,axiom,
! [X5,X6,X7] : m_Ack(X5,X6) != m_Ldr(X7),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_14) ).
fof(axiom_13,axiom,
! [X5,X6,X7] : m_Ack(X5,X6) != m_NotNorm(X7),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_13) ).
fof(axiom_12,axiom,
! [X5,X6,X7] : m_Ack(X5,X6) != m_Down(X7),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_12) ).
fof(axiom_11,axiom,
! [X5,X6,X7] : m_Ack(X5,X6) != m_Halt(X7),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_11) ).
fof(axiom_52,axiom,
! [X5] :
( ordered(cons(X5,q_nil))
& ordered(snoc(q_nil,X5)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_52) ).
fof(axiom_43,axiom,
! [X5] : cons(X5,q_nil) = snoc(q_nil,X5),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_43) ).
fof(axiom_02,axiom,
! [X3] : leq(s(zero),host(X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(axiom_42,axiom,
! [X6,X4] : q_nil != snoc(X4,X6),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_42) ).
fof(axiom_41,axiom,
! [X5,X4] : q_nil != cons(X5,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_41) ).
fof(axiom_04,axiom,
! [X3] : leq(host(X3),nbr_proc),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(axiom_34,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_34) ).
fof(axiom_27,axiom,
! [X5,X6] :
( X5 != X6
<=> m_NormQ(X5) != m_NormQ(X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_27) ).
fof(axiom_29,axiom,
! [X5,X6] :
( X5 != X6
<=> m_Ldr(X5) != m_Ldr(X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_29) ).
fof(axiom_28,axiom,
! [X5,X6] :
( X5 != X6
<=> m_NotNorm(X5) != m_NotNorm(X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_28) ).
fof(axiom_30,axiom,
! [X5,X6] :
( X5 != X6
<=> m_Down(X5) != m_Down(X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_30) ).
fof(axiom_26,axiom,
! [X5,X6] :
( X5 != X6
<=> m_Halt(X5) != m_Halt(X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_26) ).
fof(axiom_59,axiom,
! [X5] : leq(X5,X5),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_59) ).
fof(axiom_25,axiom,
! [X5,X6] : m_NormQ(X5) != m_NotNorm(X6),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_25) ).
fof(axiom_21,axiom,
! [X5,X6] : m_NormQ(X5) != m_Halt(X6),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_21) ).
fof(axiom_23,axiom,
! [X5,X6] : m_Ldr(X5) != m_NormQ(X6),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_23) ).
fof(axiom_20,axiom,
! [X5,X6] : m_Down(X5) != m_NormQ(X6),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_20) ).
fof(axiom_24,axiom,
! [X5,X6] : m_Ldr(X5) != m_NotNorm(X6),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_24) ).
fof(axiom_22,axiom,
! [X5,X6] : m_Ldr(X5) != m_Halt(X6),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_22) ).
fof(axiom_18,axiom,
! [X5,X6] : m_Down(X5) != m_Ldr(X6),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_18) ).
fof(axiom_16,axiom,
! [X5,X6] : m_NotNorm(X5) != m_Halt(X6),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_16) ).
fof(axiom_19,axiom,
! [X5,X6] : m_Down(X5) != m_NotNorm(X6),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_19) ).
fof(axiom_17,axiom,
! [X5,X6] : m_Down(X5) != m_Halt(X6),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_17) ).
fof(axiom_50,axiom,
! [X5] : pidMsg(m_Down(X5)) = X5,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_50) ).
fof(axiom_49,axiom,
! [X5] : pidMsg(m_Halt(X5)) = X5,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_49) ).
fof(axiom_03,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_03) ).
fof(axiom_51,axiom,
ordered(q_nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_51) ).
fof(axiom_10,axiom,
norm != wait,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_10) ).
fof(axiom_09,axiom,
elec_2 != norm,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_09) ).
fof(axiom_07,axiom,
elec_1 != norm,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_07) ).
fof(axiom_08,axiom,
elec_2 != wait,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_08) ).
fof(axiom_06,axiom,
elec_1 != wait,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_06) ).
fof(axiom_05,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_05) ).
fof(i_0_66,plain,
! [X13,X5,X6,X12] :
( epred1_4(X12,X6,X5,X13)
<=> ( ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> host(X14) != host(X7) )
& ! [X7,X14] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X7),queue(host(X14))) )
=> leq(host(X7),index(pendack,host(X14))) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = elec_1 )
=> ~ elem(m_Ack(X14,X7),queue(host(X14))) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X15),queue(host(X7))) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& elem(m_Halt(X14),queue(host(X15)))
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X16,X15,X14] :
( ( ! [X17] :
( ( ~ leq(host(X14),X17)
& leq(s(zero),X17) )
=> ( setIn(X17,index(down,host(X14)))
| X17 = host(X15) ) )
& elem(m_Down(X15),queue(host(X14)))
& host(X14) = nbr_proc
& host(X14) = host(X16)
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X7,alive)
& elem(m_Down(X16),queue(host(X7))) ) )
& ! [X7,X16,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& elem(m_Ack(X14,X16),queue(host(X14)))
& leq(nbr_proc,s(index(pendack,host(X14))))
& index(status,host(X14)) = elec_2
& host(X16) = index(pendack,host(X14))
& host(X15) = s(index(pendack,host(X14))) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& queue(host(X5)) = cons(m_Ack(X13,X6),X12) ) ),
introduced(definition) ).
fof(i_0_67,plain,
! [X13,X5,X6,X12] :
( epred1_4(X12,X6,X5,X13)
=> ( ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> host(X14) != host(X7) )
& ! [X7,X14] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X7),queue(host(X14))) )
=> leq(host(X7),index(pendack,host(X14))) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = elec_1 )
=> ~ elem(m_Ack(X14,X7),queue(host(X14))) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X15),queue(host(X7))) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& elem(m_Halt(X14),queue(host(X15)))
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X16,X15,X14] :
( ( ! [X17] :
( ( ~ leq(host(X14),X17)
& leq(s(zero),X17) )
=> ( setIn(X17,index(down,host(X14)))
| X17 = host(X15) ) )
& elem(m_Down(X15),queue(host(X14)))
& host(X14) = nbr_proc
& host(X14) = host(X16)
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X7,alive)
& elem(m_Down(X16),queue(host(X7))) ) )
& ! [X7,X16,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& elem(m_Ack(X14,X16),queue(host(X14)))
& leq(nbr_proc,s(index(pendack,host(X14))))
& index(status,host(X14)) = elec_2
& host(X16) = index(pendack,host(X14))
& host(X15) = s(index(pendack,host(X14))) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& queue(host(X5)) = cons(m_Ack(X13,X6),X12) ) ),
inference(split_equiv,[status(thm)],[i_0_66]) ).
fof(i_0_68,negated_conjecture,
~ ! [X12,X13,X5,X6] :
( epred1_4(X12,X6,X5,X13)
=> ( setIn(X5,alive)
=> ( ( index(elid,host(X5)) = X13
& index(status,host(X5)) = elec_2
& host(X6) = index(pendack,host(X5)) )
=> ( ~ leq(nbr_proc,index(pendack,host(X5)))
=> ! [X7,X18,X19,X20] :
( s(index(pendack,host(X5))) = host(X20)
=> ( host(X5) != host(X20)
=> ( ( setIn(X20,alive)
& leq(nbr_proc,s(index(pendack,host(X20))))
& elem(m_Down(X19),snoc(queue(host(X20)),m_Halt(X5)))
& elem(m_Ack(X20,X18),snoc(queue(host(X20)),m_Halt(X5)))
& index(status,host(X20)) = elec_2
& host(X18) = index(pendack,host(X20))
& host(X19) = s(index(pendack,host(X20))) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_66]) ).
fof(i_0_69,plain,
! [X5] : ~ leq(s(X5),X5),
inference(fof_simplification,[status(thm)],[axiom_58]) ).
fof(i_0_70,plain,
! [X5] : ~ setIn(X5,setEmpty),
inference(fof_simplification,[status(thm)],[axiom_65]) ).
fof(i_0_71,plain,
! [X5] : ~ elem(X5,q_nil),
inference(fof_simplification,[status(thm)],[axiom_45]) ).
fof(i_0_72,plain,
! [X323,X324,X325,X326,X327,X328,X329,X330,X331,X332,X333,X334,X335,X336,X337,X338,X339,X340,X341,X342,X343,X344,X345,X346,X347,X348,X349,X350,X351,X352,X353,X354,X355,X356,X357,X358,X359,X361,X362,X363,X364] :
( ( ~ elem(m_Ldr(X328),queue(host(X327)))
| ~ leq(host(X327),host(X328))
| ~ epred1_4(X326,X325,X324,X323) )
& ( ~ elem(m_Down(X330),queue(host(X329)))
| host(X330) != host(X329)
| ~ epred1_4(X326,X325,X324,X323) )
& ( ~ elem(m_Halt(X332),queue(host(X331)))
| ~ leq(host(X331),host(X332))
| ~ epred1_4(X326,X325,X324,X323) )
& ( ~ elem(m_Ack(X335,X333),queue(host(X334)))
| ~ leq(host(X333),host(X335))
| ~ epred1_4(X326,X325,X324,X323) )
& ( X337 = X336
| host(X337) != host(X336)
| ~ setIn(X336,alive)
| ~ setIn(X337,alive)
| ~ epred1_4(X326,X325,X324,X323) )
& ( ~ setIn(X339,alive)
| ~ elem(m_Ack(X339,X338),queue(host(X339)))
| leq(host(X338),index(pendack,host(X339)))
| ~ epred1_4(X326,X325,X324,X323) )
& ( ~ setIn(X341,alive)
| index(status,host(X341)) != elec_1
| ~ elem(m_Ack(X341,X340),queue(host(X341)))
| ~ epred1_4(X326,X325,X324,X323) )
& ( index(status,host(X342)) != elec_1
| ~ setIn(X342,alive)
| index(elid,host(X342)) = X342
| ~ epred1_4(X326,X325,X324,X323) )
& ( index(status,host(X342)) != elec_2
| ~ setIn(X342,alive)
| index(elid,host(X342)) = X342
| ~ epred1_4(X326,X325,X324,X323) )
& ( ~ setIn(X345,alive)
| ~ elem(m_Down(X344),queue(host(X345)))
| host(X344) != host(X343)
| ~ setIn(X343,alive)
| index(ldr,host(X343)) != host(X343)
| index(status,host(X343)) != norm
| ~ epred1_4(X326,X325,X324,X323) )
& ( leq(host(X346),host(X347))
| ~ setIn(X346,alive)
| ~ setIn(X347,alive)
| index(status,host(X346)) != elec_2
| index(status,host(X347)) != elec_2
| leq(index(pendack,host(X347)),host(X346))
| ~ epred1_4(X326,X325,X324,X323) )
& ( ~ setIn(X348,alive)
| ~ setIn(X350,alive)
| host(X350) != host(X349)
| index(status,host(X348)) != elec_2
| index(status,host(X350)) != elec_2
| ~ elem(m_Ack(X348,X349),queue(host(X348)))
| ~ epred1_4(X326,X325,X324,X323) )
& ( leq(host(X351),host(X352))
| ~ setIn(X351,alive)
| ~ setIn(X352,alive)
| index(status,host(X351)) != elec_2
| index(status,host(X352)) != elec_2
| ~ leq(index(pendack,host(X351)),index(pendack,host(X352)))
| ~ epred1_4(X326,X325,X324,X323) )
& ( leq(index(pendack,host(X355)),host(X353))
| ~ setIn(X355,alive)
| ~ elem(m_Halt(X355),queue(host(X354)))
| index(status,host(X355)) != elec_2
| ~ setIn(X353,alive)
| index(ldr,host(X353)) != host(X353)
| index(status,host(X353)) != norm
| ~ epred1_4(X326,X325,X324,X323) )
& ( ~ leq(host(X359),esk13_8(X323,X324,X325,X326,X356,X357,X358,X359))
| ~ elem(m_Down(X358),queue(host(X359)))
| host(X359) != nbr_proc
| host(X359) != host(X357)
| index(status,host(X359)) != elec_1
| ~ setIn(X356,alive)
| ~ elem(m_Down(X357),queue(host(X356)))
| ~ epred1_4(X326,X325,X324,X323) )
& ( leq(s(zero),esk13_8(X323,X324,X325,X326,X356,X357,X358,X359))
| ~ elem(m_Down(X358),queue(host(X359)))
| host(X359) != nbr_proc
| host(X359) != host(X357)
| index(status,host(X359)) != elec_1
| ~ setIn(X356,alive)
| ~ elem(m_Down(X357),queue(host(X356)))
| ~ epred1_4(X326,X325,X324,X323) )
& ( ~ setIn(esk13_8(X323,X324,X325,X326,X356,X357,X358,X359),index(down,host(X359)))
| ~ elem(m_Down(X358),queue(host(X359)))
| host(X359) != nbr_proc
| host(X359) != host(X357)
| index(status,host(X359)) != elec_1
| ~ setIn(X356,alive)
| ~ elem(m_Down(X357),queue(host(X356)))
| ~ epred1_4(X326,X325,X324,X323) )
& ( esk13_8(X323,X324,X325,X326,X356,X357,X358,X359) != host(X358)
| ~ elem(m_Down(X358),queue(host(X359)))
| host(X359) != nbr_proc
| host(X359) != host(X357)
| index(status,host(X359)) != elec_1
| ~ setIn(X356,alive)
| ~ elem(m_Down(X357),queue(host(X356)))
| ~ epred1_4(X326,X325,X324,X323) )
& ( ~ setIn(X363,alive)
| ~ elem(m_Down(X362),queue(host(X363)))
| ~ elem(m_Ack(X363,X361),queue(host(X363)))
| ~ leq(nbr_proc,s(index(pendack,host(X363))))
| index(status,host(X363)) != elec_2
| host(X361) != index(pendack,host(X363))
| host(X362) != s(index(pendack,host(X363)))
| ~ setIn(X364,alive)
| index(ldr,host(X364)) != host(X364)
| index(status,host(X364)) != norm
| ~ epred1_4(X326,X325,X324,X323) )
& ( queue(host(X324)) = cons(m_Ack(X323,X325),X326)
| ~ epred1_4(X326,X325,X324,X323) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_67])])])])])]) ).
fof(i_0_73,negated_conjecture,
( epred1_4(esk5_0,esk8_0,esk7_0,esk6_0)
& setIn(esk7_0,alive)
& index(elid,host(esk7_0)) = esk6_0
& index(status,host(esk7_0)) = elec_2
& host(esk8_0) = index(pendack,host(esk7_0))
& ~ leq(nbr_proc,index(pendack,host(esk7_0)))
& s(index(pendack,host(esk7_0))) = host(esk12_0)
& host(esk7_0) != host(esk12_0)
& setIn(esk12_0,alive)
& leq(nbr_proc,s(index(pendack,host(esk12_0))))
& elem(m_Down(esk11_0),snoc(queue(host(esk12_0)),m_Halt(esk7_0)))
& elem(m_Ack(esk12_0,esk10_0),snoc(queue(host(esk12_0)),m_Halt(esk7_0)))
& index(status,host(esk12_0)) = elec_2
& host(esk10_0) = index(pendack,host(esk12_0))
& host(esk11_0) = s(index(pendack,host(esk12_0)))
& setIn(esk9_0,alive)
& index(ldr,host(esk9_0)) = host(esk9_0)
& index(status,host(esk9_0)) = norm ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_68])])]) ).
fof(i_0_74,plain,
! [X287,X288,X289,X290,X291] :
( ( ordered(X288)
| ~ ordered(snoc(X288,X287)) )
& ( ~ elem(X289,X288)
| ~ pidElem(X287)
| ~ pidElem(X289)
| host(pidMsg(X289)) != host(pidMsg(X287))
| leq(pidMsg(X289),pidMsg(X287))
| ~ ordered(snoc(X288,X287)) )
& ( elem(esk4_2(X290,X291),X291)
| ~ ordered(X291)
| ordered(snoc(X291,X290)) )
& ( pidElem(X290)
| ~ ordered(X291)
| ordered(snoc(X291,X290)) )
& ( pidElem(esk4_2(X290,X291))
| ~ ordered(X291)
| ordered(snoc(X291,X290)) )
& ( host(pidMsg(esk4_2(X290,X291))) = host(pidMsg(X290))
| ~ ordered(X291)
| ordered(snoc(X291,X290)) )
& ( ~ leq(pidMsg(esk4_2(X290,X291)),pidMsg(X290))
| ~ ordered(X291)
| ordered(snoc(X291,X290)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_54])])])])])]) ).
fof(i_0_75,plain,
! [X281,X282,X283,X284,X285] :
( ( ordered(X282)
| ~ ordered(cons(X281,X282)) )
& ( ~ elem(X283,X282)
| ~ pidElem(X281)
| ~ pidElem(X283)
| host(pidMsg(X283)) != host(pidMsg(X281))
| leq(pidMsg(X281),pidMsg(X283))
| ~ ordered(cons(X281,X282)) )
& ( elem(esk3_2(X284,X285),X285)
| ~ ordered(X285)
| ordered(cons(X284,X285)) )
& ( pidElem(X284)
| ~ ordered(X285)
| ordered(cons(X284,X285)) )
& ( pidElem(esk3_2(X284,X285))
| ~ ordered(X285)
| ordered(cons(X284,X285)) )
& ( host(pidMsg(esk3_2(X284,X285))) = host(pidMsg(X284))
| ~ ordered(X285)
| ordered(cons(X284,X285)) )
& ( ~ leq(pidMsg(X284),pidMsg(esk3_2(X284,X285)))
| ~ ordered(X285)
| ordered(cons(X284,X285)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_53])])])])])]) ).
fof(i_0_76,plain,
! [X298,X299,X300] :
( ~ ordered(cons(m_Halt(X299),X298))
| host(X299) != host(X300)
| ~ elem(m_Down(X300),X298)
| leq(X299,X300) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_57])]) ).
fof(i_0_77,plain,
! [X186,X187] :
( ( setIn(X186,pids)
| ~ elem(m_Ack(X186,X187),queue(host(X186))) )
& ( setIn(X187,pids)
| ~ elem(m_Ack(X186,X187),queue(host(X186))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom])])]) ).
fof(i_0_78,plain,
! [X293,X294,X295] :
( ~ ordered(X293)
| ordered(snoc(X293,m_Ack(X294,X295))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_55])]) ).
fof(i_0_79,plain,
! [X266,X267,X268] :
( ( ~ elem(X266,cons(X267,X268))
| X266 = X267
| elem(X266,X268) )
& ( X266 != X267
| elem(X266,cons(X267,X268)) )
& ( ~ elem(X266,X268)
| elem(X266,cons(X267,X268)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])]) ).
fof(i_0_80,plain,
! [X269,X270,X271] :
( ( ~ elem(X269,snoc(X271,X270))
| X269 = X270
| elem(X269,X271) )
& ( X269 != X270
| elem(X269,snoc(X271,X270)) )
& ( ~ elem(X269,X271)
| elem(X269,snoc(X271,X270)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_47])])]) ).
fof(i_0_81,plain,
! [X262,X263,X264] : snoc(cons(X262,X264),X263) = cons(X262,snoc(X264,X263)),
inference(variable_rename,[status(thm)],[axiom_44]) ).
fof(i_0_82,plain,
! [X307,X308,X309] :
( ~ leq(X307,X308)
| ~ leq(X308,X309)
| leq(X307,X309) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_62])]) ).
fof(i_0_83,plain,
! [X310,X311] :
( ( ~ leq(X310,X311)
| leq(s(X310),s(X311)) )
& ( ~ leq(s(X310),s(X311))
| leq(X310,X311) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_63])]) ).
fof(i_0_84,plain,
! [X312,X313] :
( ( ~ leq(X312,s(X313))
| X312 = s(X313)
| leq(X312,X313) )
& ( X312 != s(X313)
| leq(X312,s(X313)) )
& ( ~ leq(X312,X313)
| leq(X312,s(X313)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])]) ).
fof(i_0_85,plain,
! [X296,X297] :
( ~ ordered(X296)
| ordered(snoc(X296,m_Ldr(X297))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_56])]) ).
fof(i_0_86,plain,
! [X305,X306] :
( ( ~ leq(X305,X306)
| ~ leq(X306,X305)
| X305 = X306 )
& ( leq(X305,X306)
| X305 != X306 )
& ( leq(X306,X305)
| X305 != X306 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])]) ).
fof(i_0_87,plain,
! [X237,X238,X239,X240] :
( X237 = X238
| m_Ack(X237,X239) != m_Ack(X238,X240) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_31])]) ).
fof(i_0_88,plain,
! [X241,X242,X243,X244] :
( X243 = X244
| m_Ack(X241,X243) != m_Ack(X242,X244) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_32])]) ).
fof(i_0_89,plain,
! [X188,X189] :
( s(host(X188)) != host(X189)
| host(X188) != host(X189) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_01])]) ).
fof(i_0_90,plain,
! [X301] : ~ leq(s(X301),X301),
inference(variable_rename,[status(thm)],[i_0_69]) ).
fof(i_0_91,plain,
! [X253,X254] : init(snoc(X254,X253)) = X254,
inference(variable_rename,[status(thm)],[axiom_38]) ).
fof(i_0_92,plain,
! [X251,X252] : last(snoc(X252,X251)) = X251,
inference(variable_rename,[status(thm)],[axiom_37]) ).
fof(i_0_93,plain,
! [X249,X250] : tail(cons(X249,X250)) = X250,
inference(variable_rename,[status(thm)],[axiom_36]) ).
fof(i_0_94,plain,
! [X247,X248] : head(cons(X247,X248)) = X247,
inference(variable_rename,[status(thm)],[axiom_35]) ).
fof(i_0_95,plain,
! [X272,X275,X276,X277] :
( ( ~ pidElem(X272)
| X272 = m_Halt(esk1_1(X272))
| X272 = m_Down(esk2_1(X272)) )
& ( X275 != m_Halt(X276)
| pidElem(X275) )
& ( X275 != m_Down(X277)
| pidElem(X275) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_48])])])])])]) ).
fof(i_0_96,plain,
! [X303,X304] :
( leq(X303,X304)
| leq(X304,X303) ),
inference(variable_rename,[status(thm)],[axiom_60]) ).
fof(i_0_97,plain,
! [X256] :
( X256 = q_nil
| X256 = snoc(init(X256),last(X256)) ),
inference(variable_rename,[status(thm)],[axiom_40]) ).
fof(i_0_98,plain,
! [X255] :
( X255 = q_nil
| X255 = cons(head(X255),tail(X255)) ),
inference(variable_rename,[status(thm)],[axiom_39]) ).
fof(i_0_99,plain,
! [X204,X205,X206] : m_Ack(X204,X205) != m_NormQ(X206),
inference(variable_rename,[status(thm)],[axiom_15]) ).
fof(i_0_100,plain,
! [X201,X202,X203] : m_Ack(X201,X202) != m_Ldr(X203),
inference(variable_rename,[status(thm)],[axiom_14]) ).
fof(i_0_101,plain,
! [X198,X199,X200] : m_Ack(X198,X199) != m_NotNorm(X200),
inference(variable_rename,[status(thm)],[axiom_13]) ).
fof(i_0_102,plain,
! [X195,X196,X197] : m_Ack(X195,X196) != m_Down(X197),
inference(variable_rename,[status(thm)],[axiom_12]) ).
fof(i_0_103,plain,
! [X192,X193,X194] : m_Ack(X192,X193) != m_Halt(X194),
inference(variable_rename,[status(thm)],[axiom_11]) ).
fof(i_0_104,plain,
! [X280] :
( ordered(cons(X280,q_nil))
& ordered(snoc(q_nil,X280)) ),
inference(variable_rename,[status(thm)],[axiom_52]) ).
fof(i_0_105,plain,
! [X261] : cons(X261,q_nil) = snoc(q_nil,X261),
inference(variable_rename,[status(thm)],[axiom_43]) ).
fof(i_0_106,plain,
! [X190] : leq(s(zero),host(X190)),
inference(variable_rename,[status(thm)],[axiom_02]) ).
fof(i_0_107,plain,
! [X259,X260] : q_nil != snoc(X260,X259),
inference(variable_rename,[status(thm)],[axiom_42]) ).
fof(i_0_108,plain,
! [X257,X258] : q_nil != cons(X257,X258),
inference(variable_rename,[status(thm)],[axiom_41]) ).
fof(i_0_109,plain,
! [X314] : ~ setIn(X314,setEmpty),
inference(variable_rename,[status(thm)],[i_0_70]) ).
fof(i_0_110,plain,
! [X265] : ~ elem(X265,q_nil),
inference(variable_rename,[status(thm)],[i_0_71]) ).
fof(i_0_111,plain,
! [X191] : leq(host(X191),nbr_proc),
inference(variable_rename,[status(thm)],[axiom_04]) ).
fof(i_0_112,plain,
~ setIn(nil,alive),
inference(fof_simplification,[status(thm)],[axiom_34]) ).
fof(i_0_113,plain,
! [X229,X230] :
( ( X229 = X230
| m_NormQ(X229) != m_NormQ(X230) )
& ( m_NormQ(X229) = m_NormQ(X230)
| X229 != X230 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_27])]) ).
fof(i_0_114,plain,
! [X233,X234] :
( ( X233 = X234
| m_Ldr(X233) != m_Ldr(X234) )
& ( m_Ldr(X233) = m_Ldr(X234)
| X233 != X234 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_29])]) ).
fof(i_0_115,plain,
! [X231,X232] :
( ( X231 = X232
| m_NotNorm(X231) != m_NotNorm(X232) )
& ( m_NotNorm(X231) = m_NotNorm(X232)
| X231 != X232 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_28])]) ).
fof(i_0_116,plain,
! [X235,X236] :
( ( X235 = X236
| m_Down(X235) != m_Down(X236) )
& ( m_Down(X235) = m_Down(X236)
| X235 != X236 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_30])]) ).
fof(i_0_117,plain,
! [X227,X228] :
( ( X227 = X228
| m_Halt(X227) != m_Halt(X228) )
& ( m_Halt(X227) = m_Halt(X228)
| X227 != X228 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_26])]) ).
fof(i_0_118,plain,
! [X302] : leq(X302,X302),
inference(variable_rename,[status(thm)],[axiom_59]) ).
fof(i_0_119,plain,
! [X225,X226] : m_NormQ(X225) != m_NotNorm(X226),
inference(variable_rename,[status(thm)],[axiom_25]) ).
fof(i_0_120,plain,
! [X217,X218] : m_NormQ(X217) != m_Halt(X218),
inference(variable_rename,[status(thm)],[axiom_21]) ).
fof(i_0_121,plain,
! [X221,X222] : m_Ldr(X221) != m_NormQ(X222),
inference(variable_rename,[status(thm)],[axiom_23]) ).
fof(i_0_122,plain,
! [X215,X216] : m_Down(X215) != m_NormQ(X216),
inference(variable_rename,[status(thm)],[axiom_20]) ).
fof(i_0_123,plain,
! [X223,X224] : m_Ldr(X223) != m_NotNorm(X224),
inference(variable_rename,[status(thm)],[axiom_24]) ).
fof(i_0_124,plain,
! [X219,X220] : m_Ldr(X219) != m_Halt(X220),
inference(variable_rename,[status(thm)],[axiom_22]) ).
fof(i_0_125,plain,
! [X211,X212] : m_Down(X211) != m_Ldr(X212),
inference(variable_rename,[status(thm)],[axiom_18]) ).
fof(i_0_126,plain,
! [X207,X208] : m_NotNorm(X207) != m_Halt(X208),
inference(variable_rename,[status(thm)],[axiom_16]) ).
fof(i_0_127,plain,
! [X213,X214] : m_Down(X213) != m_NotNorm(X214),
inference(variable_rename,[status(thm)],[axiom_19]) ).
fof(i_0_128,plain,
! [X209,X210] : m_Down(X209) != m_Halt(X210),
inference(variable_rename,[status(thm)],[axiom_17]) ).
fof(i_0_129,plain,
! [X279] : pidMsg(m_Down(X279)) = X279,
inference(variable_rename,[status(thm)],[axiom_50]) ).
fof(i_0_130,plain,
! [X278] : pidMsg(m_Halt(X278)) = X278,
inference(variable_rename,[status(thm)],[axiom_49]) ).
cnf(i_0_131,plain,
( ~ setIn(esk13_8(X1,X2,X3,X4,X5,X6,X7,X8),index(down,host(X8)))
| ~ elem(m_Down(X7),queue(host(X8)))
| host(X8) != nbr_proc
| host(X8) != host(X6)
| index(status,host(X8)) != elec_1
| ~ setIn(X5,alive)
| ~ elem(m_Down(X6),queue(host(X5)))
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_132,plain,
( ~ leq(host(X1),esk13_8(X2,X3,X4,X5,X6,X7,X8,X1))
| ~ elem(m_Down(X8),queue(host(X1)))
| host(X1) != nbr_proc
| host(X1) != host(X7)
| index(status,host(X1)) != elec_1
| ~ setIn(X6,alive)
| ~ elem(m_Down(X7),queue(host(X6)))
| ~ epred1_4(X5,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_133,plain,
( leq(s(zero),esk13_8(X1,X2,X3,X4,X5,X6,X7,X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| host(X8) != nbr_proc
| host(X8) != host(X6)
| index(status,host(X8)) != elec_1
| ~ setIn(X5,alive)
| ~ elem(m_Down(X6),queue(host(X5)))
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_134,plain,
( esk13_8(X1,X2,X3,X4,X5,X6,X7,X8) != host(X7)
| ~ elem(m_Down(X7),queue(host(X8)))
| host(X8) != nbr_proc
| host(X8) != host(X6)
| index(status,host(X8)) != elec_1
| ~ setIn(X5,alive)
| ~ elem(m_Down(X6),queue(host(X5)))
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_135,plain,
( ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(X1)))
| ~ elem(m_Ack(X1,X3),queue(host(X1)))
| ~ leq(nbr_proc,s(index(pendack,host(X1))))
| index(status,host(X1)) != elec_2
| host(X3) != index(pendack,host(X1))
| host(X2) != s(index(pendack,host(X1)))
| ~ setIn(X4,alive)
| index(ldr,host(X4)) != host(X4)
| index(status,host(X4)) != norm
| ~ epred1_4(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_136,plain,
( leq(host(X1),host(X2))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| index(status,host(X1)) != elec_2
| index(status,host(X2)) != elec_2
| ~ leq(index(pendack,host(X1)),index(pendack,host(X2)))
| ~ epred1_4(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_137,plain,
( leq(index(pendack,host(X1)),host(X2))
| ~ setIn(X1,alive)
| ~ elem(m_Halt(X1),queue(host(X3)))
| index(status,host(X1)) != elec_2
| ~ setIn(X2,alive)
| index(ldr,host(X2)) != host(X2)
| index(status,host(X2)) != norm
| ~ epred1_4(X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_138,plain,
( ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| host(X2) != host(X3)
| index(status,host(X1)) != elec_2
| index(status,host(X2)) != elec_2
| ~ elem(m_Ack(X1,X3),queue(host(X1)))
| ~ epred1_4(X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_139,plain,
( leq(host(X1),host(X2))
| leq(index(pendack,host(X2)),host(X1))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| index(status,host(X1)) != elec_2
| index(status,host(X2)) != elec_2
| ~ epred1_4(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_140,plain,
( ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(X1)))
| host(X2) != host(X3)
| ~ setIn(X3,alive)
| index(ldr,host(X3)) != host(X3)
| index(status,host(X3)) != norm
| ~ epred1_4(X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_141,plain,
( leq(host(X2),index(pendack,host(X1)))
| ~ setIn(X1,alive)
| ~ elem(m_Ack(X1,X2),queue(host(X1)))
| ~ epred1_4(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_142,plain,
( ~ setIn(X1,alive)
| index(status,host(X1)) != elec_1
| ~ elem(m_Ack(X1,X2),queue(host(X1)))
| ~ epred1_4(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_143,plain,
( ~ elem(m_Ack(X1,X2),queue(host(X3)))
| ~ leq(host(X2),host(X1))
| ~ epred1_4(X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_144,plain,
( ~ elem(m_Ldr(X1),queue(host(X2)))
| ~ leq(host(X2),host(X1))
| ~ epred1_4(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_145,plain,
( ~ elem(m_Halt(X1),queue(host(X2)))
| ~ leq(host(X2),host(X1))
| ~ epred1_4(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_146,plain,
( ~ elem(m_Down(X1),queue(host(X2)))
| host(X1) != host(X2)
| ~ epred1_4(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_147,plain,
( index(elid,host(X1)) = X1
| index(status,host(X1)) != elec_2
| ~ setIn(X1,alive)
| ~ epred1_4(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_148,plain,
( index(elid,host(X1)) = X1
| index(status,host(X1)) != elec_1
| ~ setIn(X1,alive)
| ~ epred1_4(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_149,plain,
( X1 = X2
| host(X1) != host(X2)
| ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| ~ epred1_4(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_150,plain,
( queue(host(X1)) = cons(m_Ack(X2,X3),X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_151,negated_conjecture,
epred1_4(esk5_0,esk8_0,esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_152,plain,
( ordered(snoc(X2,X1))
| ~ leq(pidMsg(esk4_2(X1,X2)),pidMsg(X1))
| ~ ordered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_153,plain,
( ordered(cons(X1,X2))
| ~ leq(pidMsg(X1),pidMsg(esk3_2(X1,X2)))
| ~ ordered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_154,plain,
( leq(pidMsg(X1),pidMsg(X3))
| ~ elem(X1,X2)
| ~ pidElem(X3)
| ~ pidElem(X1)
| host(pidMsg(X1)) != host(pidMsg(X3))
| ~ ordered(snoc(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_155,plain,
( leq(pidMsg(X3),pidMsg(X1))
| ~ elem(X1,X2)
| ~ pidElem(X3)
| ~ pidElem(X1)
| host(pidMsg(X1)) != host(pidMsg(X3))
| ~ ordered(cons(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_156,plain,
( leq(X1,X3)
| ~ ordered(cons(m_Halt(X1),X2))
| host(X1) != host(X3)
| ~ elem(m_Down(X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_157,plain,
( host(pidMsg(esk4_2(X1,X2))) = host(pidMsg(X1))
| ordered(snoc(X2,X1))
| ~ ordered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_158,plain,
( host(pidMsg(esk3_2(X1,X2))) = host(pidMsg(X1))
| ordered(cons(X1,X2))
| ~ ordered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_159,plain,
( setIn(X1,pids)
| ~ elem(m_Ack(X1,X2),queue(host(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_160,plain,
( setIn(X1,pids)
| ~ elem(m_Ack(X2,X1),queue(host(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_161,negated_conjecture,
elem(m_Ack(esk12_0,esk10_0),snoc(queue(host(esk12_0)),m_Halt(esk7_0))),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_162,plain,
( ordered(snoc(X1,m_Ack(X2,X3)))
| ~ ordered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_163,plain,
( X1 = X2
| elem(X1,X3)
| ~ elem(X1,cons(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_164,plain,
( X1 = X3
| elem(X1,X2)
| ~ elem(X1,snoc(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_165,plain,
snoc(cons(X1,X2),X3) = cons(X1,snoc(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_166,plain,
( elem(esk4_2(X1,X2),X2)
| ordered(snoc(X2,X1))
| ~ ordered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_167,plain,
( elem(esk3_2(X1,X2),X2)
| ordered(cons(X1,X2))
| ~ ordered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_168,negated_conjecture,
leq(nbr_proc,s(index(pendack,host(esk12_0)))),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_169,negated_conjecture,
elem(m_Down(esk11_0),snoc(queue(host(esk12_0)),m_Halt(esk7_0))),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_170,plain,
( pidElem(esk4_2(X1,X2))
| ordered(snoc(X2,X1))
| ~ ordered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_171,plain,
( pidElem(esk3_2(X1,X2))
| ordered(cons(X1,X2))
| ~ ordered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_172,negated_conjecture,
~ leq(nbr_proc,index(pendack,host(esk7_0))),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_173,plain,
( elem(X1,snoc(X2,X3))
| ~ elem(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_174,plain,
( elem(X1,cons(X3,X2))
| ~ elem(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_175,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_176,plain,
( leq(X1,X2)
| ~ leq(s(X1),s(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_177,plain,
( ordered(X1)
| ~ ordered(snoc(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_178,plain,
( ordered(X1)
| ~ ordered(cons(X2,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_179,plain,
( X1 = s(X2)
| leq(X1,X2)
| ~ leq(X1,s(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_180,plain,
( ordered(snoc(X1,m_Ldr(X2)))
| ~ ordered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_181,plain,
( leq(s(X1),s(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_182,plain,
( X1 = X2
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_183,plain,
( X1 = X2
| m_Ack(X1,X3) != m_Ack(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_184,plain,
( X1 = X2
| m_Ack(X3,X1) != m_Ack(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_185,plain,
( elem(X1,snoc(X3,X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_186,plain,
( elem(X1,cons(X2,X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_187,plain,
( leq(X1,s(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_188,plain,
( pidElem(X1)
| ordered(snoc(X2,X1))
| ~ ordered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_189,plain,
( pidElem(X1)
| ordered(cons(X1,X2))
| ~ ordered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_190,plain,
( s(host(X1)) != host(X2)
| host(X1) != host(X2) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_191,negated_conjecture,
s(index(pendack,host(esk7_0))) = host(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_192,negated_conjecture,
host(esk11_0) = s(index(pendack,host(esk12_0))),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_193,plain,
~ leq(s(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_194,plain,
init(snoc(X1,X2)) = X1,
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_195,plain,
last(snoc(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_196,plain,
tail(cons(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_197,plain,
head(cons(X1,X2)) = X1,
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_198,plain,
( X1 = m_Halt(esk1_1(X1))
| X1 = m_Down(esk2_1(X1))
| ~ pidElem(X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_199,plain,
( leq(X1,s(X2))
| X1 != s(X2) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_200,plain,
( leq(X1,X2)
| leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_201,plain,
( X1 = q_nil
| X1 = snoc(init(X1),last(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_202,plain,
( X1 = q_nil
| X1 = cons(head(X1),tail(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_203,plain,
m_Ack(X1,X2) != m_NormQ(X3),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_204,plain,
m_Ack(X1,X2) != m_Ldr(X3),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_205,plain,
m_Ack(X1,X2) != m_NotNorm(X3),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_206,plain,
m_Ack(X1,X2) != m_Down(X3),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_207,plain,
m_Ack(X1,X2) != m_Halt(X3),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_208,plain,
ordered(snoc(q_nil,X1)),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_209,plain,
ordered(cons(X1,q_nil)),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_210,plain,
cons(X1,q_nil) = snoc(q_nil,X1),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_211,plain,
leq(s(zero),host(X1)),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_212,plain,
q_nil != snoc(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_213,plain,
q_nil != cons(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_214,plain,
~ setIn(X1,setEmpty),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_215,plain,
~ elem(X1,q_nil),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_216,plain,
leq(host(X1),nbr_proc),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_217,negated_conjecture,
index(ldr,host(esk9_0)) = host(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_218,negated_conjecture,
host(esk10_0) = index(pendack,host(esk12_0)),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_219,negated_conjecture,
host(esk8_0) = index(pendack,host(esk7_0)),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_220,plain,
( leq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_221,plain,
( leq(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_222,plain,
~ setIn(nil,alive),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_223,plain,
leq(s(zero),nbr_proc),
inference(split_conjunct,[status(thm)],[axiom_03]),
[final] ).
cnf(i_0_224,negated_conjecture,
index(elid,host(esk7_0)) = esk6_0,
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_225,negated_conjecture,
index(status,host(esk12_0)) = elec_2,
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_226,negated_conjecture,
index(status,host(esk9_0)) = norm,
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_227,negated_conjecture,
index(status,host(esk7_0)) = elec_2,
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_228,plain,
( X1 = X2
| m_NormQ(X1) != m_NormQ(X2) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_229,plain,
( X1 = X2
| m_Ldr(X1) != m_Ldr(X2) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_230,plain,
( X1 = X2
| m_NotNorm(X1) != m_NotNorm(X2) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_231,plain,
( X1 = X2
| m_Down(X1) != m_Down(X2) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_232,plain,
( X1 = X2
| m_Halt(X1) != m_Halt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_233,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_234,plain,
m_NormQ(X1) != m_NotNorm(X2),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_235,plain,
m_NormQ(X1) != m_Halt(X2),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_236,plain,
m_Ldr(X1) != m_NormQ(X2),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_237,plain,
m_Down(X1) != m_NormQ(X2),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_238,plain,
m_Ldr(X1) != m_NotNorm(X2),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_239,plain,
m_Ldr(X1) != m_Halt(X2),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_240,plain,
m_Down(X1) != m_Ldr(X2),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_241,plain,
m_NotNorm(X1) != m_Halt(X2),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_242,plain,
m_Down(X1) != m_NotNorm(X2),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_243,plain,
m_Down(X1) != m_Halt(X2),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_244,plain,
( pidElem(X1)
| X1 != m_Down(X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_245,plain,
( pidElem(X1)
| X1 != m_Halt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_246,negated_conjecture,
setIn(esk12_0,alive),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_247,negated_conjecture,
setIn(esk9_0,alive),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_248,negated_conjecture,
setIn(esk7_0,alive),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_249,plain,
pidMsg(m_Down(X1)) = X1,
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_250,plain,
pidMsg(m_Halt(X1)) = X1,
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_251,negated_conjecture,
host(esk7_0) != host(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_252,plain,
ordered(q_nil),
inference(split_conjunct,[status(thm)],[axiom_51]),
[final] ).
cnf(i_0_253,plain,
norm != wait,
inference(split_conjunct,[status(thm)],[axiom_10]),
[final] ).
cnf(i_0_254,plain,
elec_2 != norm,
inference(split_conjunct,[status(thm)],[axiom_09]),
[final] ).
cnf(i_0_255,plain,
elec_1 != norm,
inference(split_conjunct,[status(thm)],[axiom_07]),
[final] ).
cnf(i_0_256,plain,
elec_2 != wait,
inference(split_conjunct,[status(thm)],[axiom_08]),
[final] ).
cnf(i_0_257,plain,
elec_1 != wait,
inference(split_conjunct,[status(thm)],[axiom_06]),
[final] ).
cnf(i_0_258,plain,
elec_1 != elec_2,
inference(split_conjunct,[status(thm)],[axiom_05]),
[final] ).
cnf(i_0_259,axiom,
X1 = X1 ).
cnf(i_0_260,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_261,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_262,axiom,
( X1 != X2
| esk13_8(X1,X3,X4,X5,X6,X7,X8,X9) = esk13_8(X2,X3,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_263,axiom,
( X1 != X2
| esk13_8(X3,X1,X4,X5,X6,X7,X8,X9) = esk13_8(X3,X2,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_264,axiom,
( X1 != X2
| esk13_8(X3,X4,X1,X5,X6,X7,X8,X9) = esk13_8(X3,X4,X2,X5,X6,X7,X8,X9) ) ).
cnf(i_0_265,axiom,
( X1 != X2
| esk13_8(X3,X4,X5,X1,X6,X7,X8,X9) = esk13_8(X3,X4,X5,X2,X6,X7,X8,X9) ) ).
cnf(i_0_266,axiom,
( X1 != X2
| esk13_8(X3,X4,X5,X6,X1,X7,X8,X9) = esk13_8(X3,X4,X5,X6,X2,X7,X8,X9) ) ).
cnf(i_0_267,axiom,
( X1 != X2
| esk13_8(X3,X4,X5,X6,X7,X1,X8,X9) = esk13_8(X3,X4,X5,X6,X7,X2,X8,X9) ) ).
cnf(i_0_268,axiom,
( X1 != X2
| esk13_8(X3,X4,X5,X6,X7,X8,X1,X9) = esk13_8(X3,X4,X5,X6,X7,X8,X2,X9) ) ).
cnf(i_0_269,axiom,
( X1 != X2
| esk13_8(X3,X4,X5,X6,X7,X8,X9,X1) = esk13_8(X3,X4,X5,X6,X7,X8,X9,X2) ) ).
cnf(i_0_270,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_271,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_272,axiom,
( X1 != X2
| snoc(X1,X3) = snoc(X2,X3) ) ).
cnf(i_0_273,axiom,
( X1 != X2
| snoc(X3,X1) = snoc(X3,X2) ) ).
cnf(i_0_274,axiom,
( X1 != X2
| pidMsg(X1) = pidMsg(X2) ) ).
cnf(i_0_275,axiom,
( X1 != X2
| init(X1) = init(X2) ) ).
cnf(i_0_276,axiom,
( X1 != X2
| last(X1) = last(X2) ) ).
cnf(i_0_277,axiom,
( X1 != X2
| tail(X1) = tail(X2) ) ).
cnf(i_0_278,axiom,
( X1 != X2
| head(X1) = head(X2) ) ).
cnf(i_0_279,axiom,
( X1 != X2
| index(X1,X3) = index(X2,X3) ) ).
cnf(i_0_280,axiom,
( X1 != X2
| index(X3,X1) = index(X3,X2) ) ).
cnf(i_0_281,axiom,
( X1 != X2
| m_NormQ(X1) = m_NormQ(X2) ) ).
cnf(i_0_282,axiom,
( X1 != X2
| m_NotNorm(X1) = m_NotNorm(X2) ) ).
cnf(i_0_283,axiom,
( X1 != X2
| host(X1) = host(X2) ) ).
cnf(i_0_284,axiom,
( X1 != X2
| m_Down(X1) = m_Down(X2) ) ).
cnf(i_0_285,axiom,
( X1 != X2
| queue(X1) = queue(X2) ) ).
cnf(i_0_286,axiom,
( X1 != X2
| s(X1) = s(X2) ) ).
cnf(i_0_287,axiom,
( X1 != X2
| m_Ack(X1,X3) = m_Ack(X2,X3) ) ).
cnf(i_0_288,axiom,
( X1 != X2
| m_Ack(X3,X1) = m_Ack(X3,X2) ) ).
cnf(i_0_289,axiom,
( X1 != X2
| m_Halt(X1) = m_Halt(X2) ) ).
cnf(i_0_290,axiom,
( X1 != X2
| m_Ldr(X1) = m_Ldr(X2) ) ).
cnf(i_0_291,axiom,
( X1 != X2
| ~ setIn(X1,X3)
| setIn(X2,X3) ) ).
cnf(i_0_292,axiom,
( X1 != X2
| ~ setIn(X3,X1)
| setIn(X3,X2) ) ).
cnf(i_0_293,axiom,
( X1 != X2
| ~ elem(X1,X3)
| elem(X2,X3) ) ).
cnf(i_0_294,axiom,
( X1 != X2
| ~ elem(X3,X1)
| elem(X3,X2) ) ).
cnf(i_0_295,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_296,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_297,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_298,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_299,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_300,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_301,axiom,
( X1 != X2
| ~ ordered(X1)
| ordered(X2) ) ).
cnf(i_0_302,axiom,
( X1 != X2
| ~ pidElem(X1)
| pidElem(X2) ) ).
cnf(i_0_259_001,axiom,
X1 = X1 ).
cnf(i_0_260_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_261_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_262_004,axiom,
( X1 != X2
| esk13_8(X1,X3,X4,X5,X6,X7,X8,X9) = esk13_8(X2,X3,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_263_005,axiom,
( X1 != X2
| esk13_8(X3,X1,X4,X5,X6,X7,X8,X9) = esk13_8(X3,X2,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_264_006,axiom,
( X1 != X2
| esk13_8(X3,X4,X1,X5,X6,X7,X8,X9) = esk13_8(X3,X4,X2,X5,X6,X7,X8,X9) ) ).
cnf(i_0_265_007,axiom,
( X1 != X2
| esk13_8(X3,X4,X5,X1,X6,X7,X8,X9) = esk13_8(X3,X4,X5,X2,X6,X7,X8,X9) ) ).
cnf(i_0_266_008,axiom,
( X1 != X2
| esk13_8(X3,X4,X5,X6,X1,X7,X8,X9) = esk13_8(X3,X4,X5,X6,X2,X7,X8,X9) ) ).
cnf(i_0_267_009,axiom,
( X1 != X2
| esk13_8(X3,X4,X5,X6,X7,X1,X8,X9) = esk13_8(X3,X4,X5,X6,X7,X2,X8,X9) ) ).
cnf(i_0_268_010,axiom,
( X1 != X2
| esk13_8(X3,X4,X5,X6,X7,X8,X1,X9) = esk13_8(X3,X4,X5,X6,X7,X8,X2,X9) ) ).
cnf(i_0_269_011,axiom,
( X1 != X2
| esk13_8(X3,X4,X5,X6,X7,X8,X9,X1) = esk13_8(X3,X4,X5,X6,X7,X8,X9,X2) ) ).
cnf(i_0_270_012,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_271_013,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_272_014,axiom,
( X1 != X2
| snoc(X1,X3) = snoc(X2,X3) ) ).
cnf(i_0_273_015,axiom,
( X1 != X2
| snoc(X3,X1) = snoc(X3,X2) ) ).
cnf(i_0_274_016,axiom,
( X1 != X2
| pidMsg(X1) = pidMsg(X2) ) ).
cnf(i_0_275_017,axiom,
( X1 != X2
| init(X1) = init(X2) ) ).
cnf(i_0_276_018,axiom,
( X1 != X2
| last(X1) = last(X2) ) ).
cnf(i_0_277_019,axiom,
( X1 != X2
| tail(X1) = tail(X2) ) ).
cnf(i_0_278_020,axiom,
( X1 != X2
| head(X1) = head(X2) ) ).
cnf(i_0_279_021,axiom,
( X1 != X2
| index(X1,X3) = index(X2,X3) ) ).
cnf(i_0_280_022,axiom,
( X1 != X2
| index(X3,X1) = index(X3,X2) ) ).
cnf(i_0_281_023,axiom,
( X1 != X2
| m_NormQ(X1) = m_NormQ(X2) ) ).
cnf(i_0_282_024,axiom,
( X1 != X2
| m_NotNorm(X1) = m_NotNorm(X2) ) ).
cnf(i_0_283_025,axiom,
( X1 != X2
| host(X1) = host(X2) ) ).
cnf(i_0_284_026,axiom,
( X1 != X2
| m_Down(X1) = m_Down(X2) ) ).
cnf(i_0_285_027,axiom,
( X1 != X2
| queue(X1) = queue(X2) ) ).
cnf(i_0_286_028,axiom,
( X1 != X2
| s(X1) = s(X2) ) ).
cnf(i_0_287_029,axiom,
( X1 != X2
| m_Ack(X1,X3) = m_Ack(X2,X3) ) ).
cnf(i_0_288_030,axiom,
( X1 != X2
| m_Ack(X3,X1) = m_Ack(X3,X2) ) ).
cnf(i_0_289_031,axiom,
( X1 != X2
| m_Halt(X1) = m_Halt(X2) ) ).
cnf(i_0_290_032,axiom,
( X1 != X2
| m_Ldr(X1) = m_Ldr(X2) ) ).
cnf(i_0_291_033,axiom,
( X1 != X2
| ~ setIn(X1,X3)
| setIn(X2,X3) ) ).
cnf(i_0_292_034,axiom,
( X1 != X2
| ~ setIn(X3,X1)
| setIn(X3,X2) ) ).
cnf(i_0_293_035,axiom,
( X1 != X2
| ~ elem(X1,X3)
| elem(X2,X3) ) ).
cnf(i_0_294_036,axiom,
( X1 != X2
| ~ elem(X3,X1)
| elem(X3,X2) ) ).
cnf(i_0_295_037,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_296_038,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_297_039,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_298_040,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_299_041,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_300_042,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_301_043,axiom,
( X1 != X2
| ~ ordered(X1)
| ordered(X2) ) ).
cnf(i_0_302_044,axiom,
( X1 != X2
| ~ pidElem(X1)
| pidElem(X2) ) ).
cnf(i_0_303,plain,
( ~ epred1_4(X1,X2,X3,X4)
| ~ elem(m_Down(X5),queue(host(X5))) ),
inference(equality_inference,[],[146]) ).
cnf(i_0_304,plain,
( X1 = X1
| ~ epred1_4(X2,X3,X4,X5)
| ~ setIn(X1,alive)
| ~ setIn(X1,alive) ),
inference(equality_inference,[],[149]) ).
cnf(i_0_305,plain,
( ~ pidElem(X1)
| ~ pidElem(X1)
| ~ elem(X1,X2)
| leq(pidMsg(X1),pidMsg(X1))
| ~ ordered(snoc(X2,X1)) ),
inference(equality_inference,[],[154]) ).
cnf(i_0_306,plain,
( ~ pidElem(X1)
| ~ pidElem(X1)
| ~ elem(X1,X2)
| leq(pidMsg(X1),pidMsg(X1))
| ~ ordered(cons(X1,X2)) ),
inference(equality_inference,[],[155]) ).
cnf(i_0_307,plain,
( leq(X1,X1)
| ~ elem(m_Down(X1),X2)
| ~ ordered(cons(m_Halt(X1),X2)) ),
inference(equality_inference,[],[156]) ).
cnf(i_0_308,plain,
X1 = X1,
inference(equality_inference,[],[183]) ).
cnf(i_0_309,plain,
X1 = X1,
inference(equality_inference,[],[184]) ).
cnf(i_0_310,plain,
elem(X1,snoc(X2,X1)),
inference(equality_inference,[],[185]) ).
cnf(i_0_311,plain,
elem(X1,cons(X1,X2)),
inference(equality_inference,[],[186]) ).
cnf(i_0_312,plain,
leq(X1,X1),
inference(equality_inference,[],[220]) ).
cnf(i_0_313,plain,
leq(X1,X1),
inference(equality_inference,[],[221]) ).
cnf(i_0_314,plain,
X1 = X1,
inference(equality_inference,[],[228]) ).
cnf(i_0_315,plain,
X1 = X1,
inference(equality_inference,[],[229]) ).
cnf(i_0_316,plain,
X1 = X1,
inference(equality_inference,[],[230]) ).
cnf(i_0_317,plain,
X1 = X1,
inference(equality_inference,[],[231]) ).
cnf(i_0_318,plain,
X1 = X1,
inference(equality_inference,[],[232]) ).
cnf(i_0_319,plain,
pidElem(m_Down(X1)),
inference(equality_inference,[],[244]) ).
cnf(i_0_320,plain,
pidElem(m_Halt(X1)),
inference(equality_inference,[],[245]) ).
cnf(i_0_321,plain,
( ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| ~ elem(m_Down(X3),queue(host(X1)))
| ~ elem(m_Ack(X1,X4),queue(host(X1)))
| host(X4) != index(pendack,host(X1))
| index(ldr,host(X2)) != host(X2)
| host(X3) != s(index(pendack,host(X1)))
| index(status,host(X1)) != elec_2
| index(status,host(X2)) != norm
| ~ leq(nbr_proc,s(index(pendack,host(X1)))) ),
inference(scs_inference,[],[i_0_151,i_0_135]) ).
cnf(i_0_322,plain,
( ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| leq(host(X1),host(X2))
| ~ leq(index(pendack,host(X1)),index(pendack,host(X2)))
| index(status,host(X1)) != elec_2
| index(status,host(X2)) != elec_2 ),
inference(scs_inference,[],[i_0_151,i_0_136]) ).
cnf(i_0_323,plain,
( ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| ~ elem(m_Halt(X1),queue(host(X3)))
| leq(index(pendack,host(X1)),host(X2))
| index(ldr,host(X2)) != host(X2)
| index(status,host(X1)) != elec_2
| index(status,host(X2)) != norm ),
inference(scs_inference,[],[i_0_151,i_0_137]) ).
cnf(i_0_324,plain,
( ~ setIn(X1,alive)
| host(X2) != host(X3)
| ~ setIn(X2,alive)
| ~ elem(m_Ack(X1,X3),queue(host(X1)))
| index(status,host(X1)) != elec_2
| index(status,host(X2)) != elec_2 ),
inference(scs_inference,[],[i_0_151,i_0_138]) ).
cnf(i_0_325,plain,
( ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| leq(host(X1),host(X2))
| leq(index(pendack,host(X2)),host(X1))
| index(status,host(X1)) != elec_2
| index(status,host(X2)) != elec_2 ),
inference(scs_inference,[],[i_0_151,i_0_139]) ).
cnf(i_0_326,plain,
( ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| host(X3) != host(X1)
| ~ elem(m_Down(X3),queue(host(X2)))
| index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm ),
inference(scs_inference,[],[i_0_151,i_0_140]) ).
cnf(i_0_327,plain,
( ~ setIn(X1,alive)
| ~ elem(m_Ack(X1,X2),queue(host(X1)))
| leq(host(X2),index(pendack,host(X1))) ),
inference(scs_inference,[],[i_0_151,i_0_141]) ).
cnf(i_0_328,plain,
( ~ setIn(X1,alive)
| ~ elem(m_Ack(X1,X2),queue(host(X1)))
| index(status,host(X1)) != elec_1 ),
inference(scs_inference,[],[i_0_151,i_0_142]) ).
cnf(i_0_329,plain,
( ~ leq(host(X1),host(X2))
| ~ elem(m_Ack(X2,X1),queue(host(X3))) ),
inference(scs_inference,[],[i_0_151,i_0_143]) ).
cnf(i_0_330,plain,
( ~ leq(host(X1),host(X2))
| ~ elem(m_Ldr(X2),queue(host(X1))) ),
inference(scs_inference,[],[i_0_151,i_0_144]) ).
cnf(i_0_331,plain,
( ~ leq(host(X1),host(X2))
| ~ elem(m_Halt(X2),queue(host(X1))) ),
inference(scs_inference,[],[i_0_151,i_0_145]) ).
cnf(i_0_332,plain,
( host(X1) != host(X2)
| ~ elem(m_Down(X1),queue(host(X2))) ),
inference(scs_inference,[],[i_0_151,i_0_146]) ).
cnf(i_0_333,plain,
( ~ setIn(X1,alive)
| index(elid,host(X1)) = X1
| index(status,host(X1)) != elec_2 ),
inference(scs_inference,[],[i_0_151,i_0_147]) ).
cnf(i_0_334,plain,
( ~ setIn(X1,alive)
| index(elid,host(X1)) = X1
| index(status,host(X1)) != elec_1 ),
inference(scs_inference,[],[i_0_151,i_0_148]) ).
cnf(i_0_335,plain,
( X1 = X2
| host(X1) != host(X2)
| ~ setIn(X2,alive)
| ~ setIn(X1,alive) ),
inference(scs_inference,[],[i_0_151,i_0_149]) ).
cnf(i_0_336,plain,
~ elem(m_Down(X1),queue(host(X1))),
inference(scs_inference,[],[i_0_151,i_0_303]) ).
cnf(i_0_337,plain,
~ leq(s(s(X1)),X1),
inference(scs_inference,[],[i_0_193,i_0_187]) ).
cnf(i_0_338,plain,
~ leq(s(X1),X1),
inference(rename_variables,[],[i_0_193]) ).
cnf(i_0_339,plain,
( leq(X1,s(X2))
| ~ leq(X1,X2) ),
inference(rename_variables,[],[i_0_187]) ).
cnf(i_0_340,plain,
leq(index(pendack,host(esk7_0)),nbr_proc),
inference(scs_inference,[],[i_0_172,i_0_193,i_0_187,i_0_200]) ).
cnf(i_0_341,plain,
( leq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_200]) ).
cnf(i_0_342,plain,
leq(host(esk10_0),index(pendack,host(esk12_0))),
inference(scs_inference,[],[i_0_218,i_0_172,i_0_193,i_0_187,i_0_200,i_0_220]) ).
cnf(i_0_343,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_220]) ).
cnf(i_0_344,plain,
leq(index(pendack,host(esk12_0)),host(esk10_0)),
inference(scs_inference,[],[i_0_218,i_0_172,i_0_193,i_0_187,i_0_200,i_0_220,i_0_221]) ).
cnf(i_0_345,plain,
( X1 != X2
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_221]) ).
cnf(i_0_346,plain,
~ elem(m_Ack(X1,X1),queue(host(X2))),
inference(scs_inference,[],[i_0_218,i_0_172,i_0_233,i_0_193,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329]) ).
cnf(i_0_347,plain,
leq(X1,X1),
inference(rename_variables,[],[i_0_233]) ).
cnf(i_0_348,plain,
( ~ leq(host(X1),host(X2))
| ~ elem(m_Ack(X2,X1),queue(host(X3))) ),
inference(rename_variables,[],[i_0_329]) ).
cnf(i_0_349,plain,
index(pendack,host(esk12_0)) = host(esk10_0),
inference(scs_inference,[],[i_0_218,i_0_172,i_0_233,i_0_193,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260]) ).
cnf(i_0_350,plain,
esk7_0 != esk12_0,
inference(scs_inference,[],[i_0_251,i_0_218,i_0_172,i_0_233,i_0_193,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283]) ).
cnf(i_0_351,plain,
pidElem(pidMsg(m_Down(m_Down(X1)))),
inference(scs_inference,[],[i_0_251,i_0_218,i_0_172,i_0_233,i_0_193,i_0_249,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244]) ).
cnf(i_0_352,plain,
pidMsg(m_Down(X1)) = X1,
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_353,plain,
( X1 != m_Down(X2)
| pidElem(X1) ),
inference(rename_variables,[],[i_0_244]) ).
cnf(i_0_354,plain,
pidElem(pidMsg(m_Down(m_Halt(X1)))),
inference(scs_inference,[],[i_0_251,i_0_218,i_0_172,i_0_233,i_0_193,i_0_249,i_0_352,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245]) ).
cnf(i_0_355,plain,
pidMsg(m_Down(X1)) = X1,
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_356,plain,
( X1 != m_Halt(X2)
| pidElem(X1) ),
inference(rename_variables,[],[i_0_245]) ).
cnf(i_0_357,plain,
elem(m_Down(esk11_0),queue(host(esk12_0))),
inference(scs_inference,[],[i_0_251,i_0_169,i_0_218,i_0_172,i_0_233,i_0_193,i_0_243,i_0_249,i_0_352,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164]) ).
cnf(i_0_358,plain,
m_Down(X1) != m_Halt(X2),
inference(rename_variables,[],[i_0_243]) ).
cnf(i_0_359,plain,
( ~ elem(X1,snoc(X2,X3))
| X1 = X3
| elem(X1,X2) ),
inference(rename_variables,[],[i_0_164]) ).
cnf(i_0_360,plain,
~ leq(s(host(X1)),s(zero)),
inference(scs_inference,[],[i_0_251,i_0_169,i_0_218,i_0_172,i_0_233,i_0_193,i_0_338,i_0_243,i_0_211,i_0_249,i_0_352,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175]) ).
cnf(i_0_361,plain,
~ leq(s(X1),X1),
inference(rename_variables,[],[i_0_193]) ).
cnf(i_0_362,plain,
( ~ leq(X1,X2)
| leq(X3,X2)
| ~ leq(X3,X1) ),
inference(rename_variables,[],[i_0_175]) ).
cnf(i_0_363,plain,
index(elid,host(esk12_0)) = esk12_0,
inference(scs_inference,[],[i_0_246,i_0_251,i_0_169,i_0_218,i_0_172,i_0_225,i_0_233,i_0_193,i_0_338,i_0_243,i_0_211,i_0_249,i_0_352,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333]) ).
cnf(i_0_364,plain,
( index(status,host(X1)) != elec_2
| ~ setIn(X1,alive)
| index(elid,host(X1)) = X1 ),
inference(rename_variables,[],[i_0_333]) ).
cnf(i_0_365,plain,
pidMsg(m_Down(host(esk10_0))) = index(pendack,host(esk12_0)),
inference(scs_inference,[],[i_0_246,i_0_251,i_0_169,i_0_218,i_0_172,i_0_225,i_0_233,i_0_193,i_0_338,i_0_243,i_0_211,i_0_249,i_0_352,i_0_355,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261]) ).
cnf(i_0_366,plain,
pidMsg(m_Down(X1)) = X1,
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_367,plain,
~ setIn(pidMsg(m_Down(nil)),alive),
inference(scs_inference,[],[i_0_246,i_0_251,i_0_169,i_0_218,i_0_172,i_0_225,i_0_233,i_0_193,i_0_338,i_0_243,i_0_211,i_0_222,i_0_249,i_0_352,i_0_355,i_0_366,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261,i_0_291]) ).
cnf(i_0_368,plain,
pidMsg(m_Down(X1)) = X1,
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_369,plain,
~ setIn(X1,pidMsg(m_Down(setEmpty))),
inference(scs_inference,[],[i_0_246,i_0_251,i_0_169,i_0_218,i_0_172,i_0_225,i_0_233,i_0_214,i_0_193,i_0_338,i_0_243,i_0_211,i_0_222,i_0_249,i_0_352,i_0_355,i_0_366,i_0_368,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261,i_0_291,i_0_292]) ).
cnf(i_0_370,plain,
pidMsg(m_Down(X1)) = X1,
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_371,plain,
~ elem(pidMsg(m_Down(m_Ack(X1,X1))),queue(host(X2))),
inference(scs_inference,[],[i_0_246,i_0_251,i_0_169,i_0_218,i_0_172,i_0_225,i_0_233,i_0_214,i_0_193,i_0_338,i_0_243,i_0_211,i_0_222,i_0_249,i_0_352,i_0_355,i_0_366,i_0_368,i_0_370,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261,i_0_291,i_0_292,i_0_293]) ).
cnf(i_0_372,plain,
pidMsg(m_Down(X1)) = X1,
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_373,plain,
~ elem(X1,pidMsg(m_Down(q_nil))),
inference(scs_inference,[],[i_0_246,i_0_251,i_0_169,i_0_218,i_0_172,i_0_225,i_0_233,i_0_214,i_0_215,i_0_193,i_0_338,i_0_243,i_0_211,i_0_222,i_0_249,i_0_352,i_0_355,i_0_366,i_0_368,i_0_370,i_0_372,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261,i_0_291,i_0_292,i_0_293,i_0_294]) ).
cnf(i_0_374,plain,
pidMsg(m_Down(X1)) = X1,
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_375,plain,
~ leq(pidMsg(m_Down(nbr_proc)),index(pendack,host(esk7_0))),
inference(scs_inference,[],[i_0_246,i_0_251,i_0_169,i_0_218,i_0_172,i_0_225,i_0_233,i_0_214,i_0_215,i_0_193,i_0_338,i_0_243,i_0_211,i_0_222,i_0_249,i_0_352,i_0_355,i_0_366,i_0_368,i_0_370,i_0_372,i_0_374,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261,i_0_291,i_0_292,i_0_293,i_0_294,i_0_299]) ).
cnf(i_0_376,plain,
pidMsg(m_Down(X1)) = X1,
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_377,plain,
~ leq(nbr_proc,host(esk8_0)),
inference(scs_inference,[],[i_0_246,i_0_251,i_0_169,i_0_218,i_0_219,i_0_172,i_0_225,i_0_233,i_0_214,i_0_215,i_0_193,i_0_338,i_0_243,i_0_211,i_0_222,i_0_249,i_0_352,i_0_355,i_0_366,i_0_368,i_0_370,i_0_372,i_0_374,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261,i_0_291,i_0_292,i_0_293,i_0_294,i_0_299,i_0_300]) ).
cnf(i_0_378,plain,
~ pidElem(m_Ack(X1,X2)),
inference(scs_inference,[],[i_0_246,i_0_251,i_0_169,i_0_218,i_0_219,i_0_172,i_0_225,i_0_233,i_0_214,i_0_215,i_0_193,i_0_338,i_0_206,i_0_207,i_0_243,i_0_211,i_0_222,i_0_249,i_0_352,i_0_355,i_0_366,i_0_368,i_0_370,i_0_372,i_0_374,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261,i_0_291,i_0_292,i_0_293,i_0_294,i_0_299,i_0_300,i_0_198]) ).
cnf(i_0_379,plain,
m_Ack(X1,X2) != m_Down(X3),
inference(rename_variables,[],[i_0_206]) ).
cnf(i_0_380,plain,
m_Ack(X1,X2) != m_Halt(X3),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_381,plain,
( X1 = m_Down(esk2_1(X1))
| X1 = m_Halt(esk1_1(X1))
| ~ pidElem(X1) ),
inference(rename_variables,[],[i_0_198]) ).
cnf(i_0_382,plain,
host(esk11_0) != host(esk9_0),
inference(scs_inference,[],[i_0_246,i_0_247,i_0_251,i_0_169,i_0_218,i_0_219,i_0_217,i_0_172,i_0_225,i_0_226,i_0_233,i_0_214,i_0_215,i_0_193,i_0_338,i_0_206,i_0_207,i_0_243,i_0_211,i_0_222,i_0_249,i_0_352,i_0_355,i_0_366,i_0_368,i_0_370,i_0_372,i_0_374,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261,i_0_291,i_0_292,i_0_293,i_0_294,i_0_299,i_0_300,i_0_198,i_0_326]) ).
cnf(i_0_383,plain,
( index(status,host(X1)) != norm
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| index(ldr,host(X1)) != host(X1)
| ~ elem(m_Down(X3),queue(host(X2)))
| host(X3) != host(X1) ),
inference(rename_variables,[],[i_0_326]) ).
cnf(i_0_384,plain,
~ elem(m_Ack(esk12_0,esk10_0),queue(host(esk12_0))),
inference(scs_inference,[],[i_0_246,i_0_247,i_0_251,i_0_169,i_0_218,i_0_219,i_0_217,i_0_172,i_0_225,i_0_226,i_0_192,i_0_168,i_0_233,i_0_214,i_0_215,i_0_193,i_0_338,i_0_206,i_0_207,i_0_243,i_0_211,i_0_222,i_0_249,i_0_352,i_0_355,i_0_366,i_0_368,i_0_370,i_0_372,i_0_374,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261,i_0_291,i_0_292,i_0_293,i_0_294,i_0_299,i_0_300,i_0_198,i_0_326,i_0_321]) ).
cnf(i_0_385,plain,
( index(status,host(X1)) != elec_2
| index(status,host(X2)) != norm
| ~ leq(nbr_proc,s(index(pendack,host(X1))))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| host(X3) != index(pendack,host(X1))
| index(ldr,host(X2)) != host(X2)
| host(X4) != s(index(pendack,host(X1)))
| ~ elem(m_Ack(X1,X3),queue(host(X1)))
| ~ elem(m_Down(X4),queue(host(X1))) ),
inference(rename_variables,[],[i_0_321]) ).
cnf(i_0_386,plain,
~ leq(host(X1),zero),
inference(scs_inference,[],[i_0_246,i_0_247,i_0_251,i_0_169,i_0_218,i_0_219,i_0_217,i_0_172,i_0_225,i_0_226,i_0_192,i_0_168,i_0_233,i_0_214,i_0_215,i_0_193,i_0_338,i_0_206,i_0_207,i_0_243,i_0_211,i_0_222,i_0_249,i_0_352,i_0_355,i_0_366,i_0_368,i_0_370,i_0_372,i_0_374,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261,i_0_291,i_0_292,i_0_293,i_0_294,i_0_299,i_0_300,i_0_198,i_0_326,i_0_321,i_0_181]) ).
cnf(i_0_387,plain,
( leq(s(X1),s(X2))
| ~ leq(X1,X2) ),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_388,plain,
( ~ leq(s(index(pendack,host(esk12_0))),nbr_proc)
| nbr_proc = s(index(pendack,host(esk12_0))) ),
inference(scs_inference,[],[i_0_246,i_0_247,i_0_251,i_0_169,i_0_218,i_0_219,i_0_217,i_0_172,i_0_225,i_0_226,i_0_192,i_0_168,i_0_233,i_0_214,i_0_215,i_0_193,i_0_338,i_0_206,i_0_207,i_0_243,i_0_211,i_0_222,i_0_249,i_0_352,i_0_355,i_0_366,i_0_368,i_0_370,i_0_372,i_0_374,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261,i_0_291,i_0_292,i_0_293,i_0_294,i_0_299,i_0_300,i_0_198,i_0_326,i_0_321,i_0_181,i_0_182]) ).
cnf(i_0_389,plain,
( ~ leq(X1,X2)
| ~ leq(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_390,plain,
m_Down(X1) != m_Ack(X2,X3),
inference(scs_inference,[],[i_0_246,i_0_247,i_0_251,i_0_169,i_0_218,i_0_219,i_0_217,i_0_172,i_0_225,i_0_226,i_0_192,i_0_168,i_0_233,i_0_319,i_0_214,i_0_215,i_0_193,i_0_338,i_0_206,i_0_207,i_0_243,i_0_211,i_0_222,i_0_249,i_0_352,i_0_355,i_0_366,i_0_368,i_0_370,i_0_372,i_0_374,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261,i_0_291,i_0_292,i_0_293,i_0_294,i_0_299,i_0_300,i_0_198,i_0_326,i_0_321,i_0_181,i_0_182,i_0_302]) ).
cnf(i_0_391,plain,
( ~ elem(m_Ack(esk12_0,X1),queue(host(esk12_0)))
| leq(host(X1),index(pendack,host(esk12_0))) ),
inference(scs_inference,[],[i_0_246,i_0_247,i_0_251,i_0_169,i_0_218,i_0_219,i_0_217,i_0_172,i_0_225,i_0_226,i_0_192,i_0_168,i_0_233,i_0_319,i_0_214,i_0_215,i_0_193,i_0_338,i_0_206,i_0_207,i_0_243,i_0_211,i_0_222,i_0_249,i_0_352,i_0_355,i_0_366,i_0_368,i_0_370,i_0_372,i_0_374,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261,i_0_291,i_0_292,i_0_293,i_0_294,i_0_299,i_0_300,i_0_198,i_0_326,i_0_321,i_0_181,i_0_182,i_0_302,i_0_327]) ).
cnf(i_0_392,plain,
( ~ setIn(X1,alive)
| leq(host(X2),index(pendack,host(X1)))
| ~ elem(m_Ack(X1,X2),queue(host(X1))) ),
inference(rename_variables,[],[i_0_327]) ).
cnf(i_0_393,plain,
( ordered(X1)
| q_nil != X1 ),
inference(scs_inference,[],[i_0_246,i_0_247,i_0_251,i_0_169,i_0_218,i_0_219,i_0_217,i_0_172,i_0_225,i_0_226,i_0_192,i_0_168,i_0_233,i_0_319,i_0_214,i_0_215,i_0_193,i_0_338,i_0_206,i_0_207,i_0_243,i_0_211,i_0_222,i_0_252,i_0_249,i_0_352,i_0_355,i_0_366,i_0_368,i_0_370,i_0_372,i_0_374,i_0_187,i_0_200,i_0_220,i_0_221,i_0_329,i_0_260,i_0_283,i_0_244,i_0_245,i_0_164,i_0_175,i_0_333,i_0_261,i_0_291,i_0_292,i_0_293,i_0_294,i_0_299,i_0_300,i_0_198,i_0_326,i_0_321,i_0_181,i_0_182,i_0_302,i_0_327,i_0_301]) ).
cnf(i_0_394,plain,
ordered(snoc(q_nil,X1)),
inference(rename_variables,[],[i_0_208]) ).
cnf(i_0_395,plain,
( ~ ordered(snoc(X1,X2))
| host(pidMsg(X3)) != host(pidMsg(X2))
| leq(pidMsg(X3),pidMsg(X2))
| ~ pidElem(X2)
| ~ pidElem(X3)
| ~ elem(X3,X1) ),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_396,plain,
pidElem(m_Down(X1)),
inference(rename_variables,[],[i_0_319]) ).
cnf(i_0_397,plain,
pidElem(m_Down(X1)),
inference(rename_variables,[],[i_0_319]) ).
cnf(i_0_399,plain,
~ elem(m_Down(X1),queue(host(X1))),
inference(equality_inference,[],[332]) ).
cnf(i_0_400,plain,
( X1 = X1
| ~ setIn(X1,alive)
| ~ setIn(X1,alive) ),
inference(equality_inference,[],[335]) ).
cnf(i_0_401,plain,
ordered(q_nil),
inference(equality_inference,[],[393]) ).
cnf(i_0_402,plain,
~ leq(s(s(s(X1))),X1),
inference(scs_inference,[],[i_0_337,i_0_187]) ).
cnf(i_0_403,plain,
~ leq(s(s(X1)),X1),
inference(rename_variables,[],[i_0_337]) ).
cnf(i_0_404,plain,
( leq(X1,s(X2))
| ~ leq(X1,X2) ),
inference(rename_variables,[],[i_0_187]) ).
cnf(i_0_405,plain,
leq(X1,s(s(X1))),
inference(scs_inference,[],[i_0_337,i_0_403,i_0_187,i_0_200]) ).
cnf(i_0_406,plain,
( leq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_200]) ).
cnf(i_0_407,plain,
leq(index(status,host(esk7_0)),elec_2),
inference(scs_inference,[],[i_0_227,i_0_337,i_0_403,i_0_187,i_0_200,i_0_220]) ).
cnf(i_0_408,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_220]) ).
cnf(i_0_409,plain,
leq(elec_2,index(status,host(esk7_0))),
inference(scs_inference,[],[i_0_227,i_0_337,i_0_403,i_0_187,i_0_200,i_0_220,i_0_221]) ).
cnf(i_0_410,plain,
( X1 != X2
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_221]) ).
cnf(i_0_411,plain,
pidElem(pidMsg(m_Halt(m_Down(X1)))),
inference(scs_inference,[],[i_0_227,i_0_337,i_0_403,i_0_250,i_0_187,i_0_200,i_0_220,i_0_221,i_0_244]) ).
cnf(i_0_412,plain,
pidMsg(m_Halt(X1)) = X1,
inference(rename_variables,[],[i_0_250]) ).
cnf(i_0_413,plain,
( X1 != m_Down(X2)
| pidElem(X1) ),
inference(rename_variables,[],[i_0_244]) ).
cnf(i_0_414,plain,
pidElem(pidMsg(m_Halt(m_Halt(X1)))),
inference(scs_inference,[],[i_0_227,i_0_337,i_0_403,i_0_250,i_0_412,i_0_187,i_0_200,i_0_220,i_0_221,i_0_244,i_0_245]) ).
cnf(i_0_415,plain,
pidMsg(m_Halt(X1)) = X1,
inference(rename_variables,[],[i_0_250]) ).
cnf(i_0_416,plain,
( X1 != m_Halt(X2)
| pidElem(X1) ),
inference(rename_variables,[],[i_0_245]) ).
cnf(i_0_417,plain,
elec_2 = index(status,host(esk7_0)),
inference(scs_inference,[],[i_0_227,i_0_337,i_0_403,i_0_250,i_0_412,i_0_187,i_0_200,i_0_220,i_0_221,i_0_244,i_0_245,i_0_260]) ).
cnf(i_0_418,plain,
esk11_0 != esk9_0,
inference(scs_inference,[],[i_0_227,i_0_337,i_0_403,i_0_382,i_0_250,i_0_412,i_0_187,i_0_200,i_0_220,i_0_221,i_0_244,i_0_245,i_0_260,i_0_283]) ).
cnf(i_0_419,plain,
$false,
inference(scs_inference,[],[i_0_227,i_0_161,i_0_337,i_0_403,i_0_384,i_0_382,i_0_250,i_0_412,i_0_207,i_0_187,i_0_200,i_0_220,i_0_221,i_0_244,i_0_245,i_0_260,i_0_283,i_0_164]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV464+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n011.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 05:17:17 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.60/1.61 % Version : CSE_E---1.7
% 0.60/1.61 % Problem : theBenchmark.p
% 0.60/1.61 % SZS status Theorem for theBenchmark.p
% 0.60/1.61 % SZS output start CNFRefutation
% See solution above
% 0.92/1.96 % Total time : 1.272s
%------------------------------------------------------------------------------