%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV476+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:22:15 PM UTC 2026
% Result : Theorem 95.20s 16.89s
% Output : CNFRefutation 115.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 52
% Syntax : Number of formulae : 9170 ( 612 unt; 0 def)
% Number of atoms : 30539 (3972 equ)
% Maximal formula atoms : 127 ( 3 avg)
% Number of connectives : 29879 (8510 ~;20801 |; 467 &)
% ( 10 <=>; 91 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 6 avg)
% Maximal term depth : 45 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 37 ( 37 usr; 23 con; 0-2 aty)
% Number of variables : 23044 ( 0 sgn23011 !; 33 ?;22326 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( s(host(X0)) = host(X1)
=> host(X0) != host(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_01) ).
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_03) ).
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f6,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_05) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_06) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_07) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_08) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_09) ).
fof(f11,axiom,
norm != wait,
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_10) ).
fof(f12,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_11) ).
fof(f13,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_12) ).
fof(f14,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NotNorm(X2),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_13) ).
fof(f15,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_14) ).
fof(f16,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NormQ(X2),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_15) ).
fof(f17,axiom,
! [X0,X1] : m_NotNorm(X0) != m_Halt(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_16) ).
fof(f18,axiom,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_18) ).
fof(f20,axiom,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_19) ).
fof(f21,axiom,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_20) ).
fof(f22,axiom,
! [X0,X1] : m_NormQ(X0) != m_Halt(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_21) ).
fof(f23,axiom,
! [X0,X1] : m_Ldr(X0) != m_Halt(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_22) ).
fof(f24,axiom,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_23) ).
fof(f25,axiom,
! [X0,X1] : m_Ldr(X0) != m_NotNorm(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_24) ).
fof(f26,axiom,
! [X0,X1] : m_NormQ(X0) != m_NotNorm(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_25) ).
fof(f27,axiom,
! [X0,X1] :
( X0 != X1
<=> m_Halt(X0) != m_Halt(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_26) ).
fof(f28,axiom,
! [X0,X1] :
( X0 != X1
<=> m_NormQ(X0) != m_NormQ(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_27) ).
fof(f29,axiom,
! [X0,X1] :
( X0 != X1
<=> m_NotNorm(X0) != m_NotNorm(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_28) ).
fof(f30,axiom,
! [X0,X1] :
( X0 != X1
<=> m_Ldr(X0) != m_Ldr(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_29) ).
fof(f31,axiom,
! [X0,X1] :
( X0 != X1
<=> m_Down(X0) != m_Down(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_30) ).
fof(f32,axiom,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_31) ).
fof(f33,axiom,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_32) ).
fof(f42,axiom,
! [X0,X1] : q_nil != cons(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_41) ).
fof(f43,axiom,
! [X0,X1] : q_nil != snoc(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_42) ).
fof(f44,axiom,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_43) ).
fof(f45,axiom,
! [X0,X1,X2] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_44) ).
fof(f46,axiom,
! [X0] : ~ elem(X0,q_nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_45) ).
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(f48,axiom,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_51) ).
fof(f53,axiom,
! [X0] :
( ordered(snoc(q_nil,X0))
& ordered(cons(X0,q_nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_52) ).
fof(f56,axiom,
! [X0,X1,X2] :
( ordered(X0)
=> ordered(snoc(X0,m_Ack(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_55) ).
fof(f57,axiom,
! [X0,X1] :
( ordered(X0)
=> ordered(snoc(X0,m_Ldr(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_56) ).
fof(f58,axiom,
! [X0,X1,X2] :
( ( elem(m_Down(X2),X0)
& host(X1) = host(X2)
& ordered(cons(m_Halt(X1),X0)) )
=> leq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_57) ).
fof(f59,axiom,
! [X0] : ~ leq(s(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
fof(f60,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_59) ).
fof(f61,axiom,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_60) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(f63,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_62) ).
fof(f64,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_63) ).
fof(f65,axiom,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| X0 = s(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X7,X6,X5] :
( ( index(status,host(X5)) = elec_1
& host(X7) = s(host(X5))
& elem(m_Down(X7),queue(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& leq(nbr_proc,s(host(X5)))
& setIn(X5,alive)
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X5),X8) )
=> ( X8 = host(X6)
| setIn(X8,index(down,host(X5))) ) ) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X7,X6,X5] :
( ( index(status,host(X5)) = elec_1
& index(status,host(X4)) = elec_2
& host(X7) = host(X5)
& elem(m_Down(X6),queue(host(X5)))
& leq(host(X4),host(X5))
& setIn(X4,alive)
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X5),X8) )
=> ( X8 = host(X6)
| setIn(X8,index(down,host(X5))) ) ) )
=> ~ elem(m_Ack(X4,X7),queue(host(X4))) )
& ! [X4,X6,X5] :
( ( host(index(elid,host(X5))) = host(X6)
& index(status,host(X5)) = wait
& host(X6) = host(X4)
& elem(m_Down(X4),queue(host(X5)))
& setIn(X5,alive)
& host(X5) != host(X6) )
=> ~ ( index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm
& setIn(X6,alive) ) )
& ! [X4,X6,X5] :
( ( index(ldr,host(X5)) = host(X6)
& index(status,host(X5)) = norm
& host(X6) = host(X4)
& elem(m_Down(X4),queue(host(X5)))
& setIn(X5,alive)
& host(X5) != host(X6) )
=> ~ ( index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm
& setIn(X6,alive) ) )
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( setIn(host(X7),index(down,host(X6)))
& elem(m_Down(X5),queue(host(X4))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( elem(m_Down(X7),queue(host(X6)))
& elem(m_Down(X5),queue(host(X4))) ) )
& ! [X4,X6,X5] :
( ( host(X6) = host(X4)
& elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive)
& ~ leq(host(X6),host(X5)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X5,alive)
& setIn(X4,alive) )
=> X5 = X4 )
& ! [X4,X6,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& host(X6) = host(X5)
& setIn(X5,alive) )
=> ~ ( elem(m_Down(X6),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& host(X5) = host(X6)
& elem(m_Down(X6),queue(host(X4)))
& setIn(X5,alive)
& setIn(X4,alive) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& setIn(X5,alive) )
=> ~ ( setIn(host(X5),index(down,host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& setIn(host(X5),index(down,host(X4)))
& setIn(X5,alive)
& setIn(X4,alive) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4] :
( ( setIn(X4,alive)
& ( index(status,host(X4)) = elec_2
| index(status,host(X4)) = elec_1 ) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( ( host(X3) = index(pendack,host(X2))
& index(status,host(X2)) = elec_2
& index(elid,host(X2)) = X1 )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( ( host(X4) = host(X3)
| setIn(host(X4),index(acks,host(X2))) )
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X4) != host(X11)
=> ( host(X2) != host(X11)
=> ( ( index(status,host(X11)) = elec_1
& host(X9) = s(host(X11))
& elem(m_Down(X10),queue(host(X11)))
& elem(m_Down(X9),queue(host(X11)))
& leq(nbr_proc,s(host(X11)))
& setIn(X11,alive)
& ! [X12] :
( ( leq(s(zero),X12)
& ~ leq(host(X11),X12) )
=> ( X12 = host(X10)
| setIn(X12,index(down,host(X11))) ) ) )
=> ~ ( host(X2) = host(X8)
& setIn(X8,alive) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X7,X6,X5] :
( ( index(status,host(X5)) = elec_1
& host(X7) = s(host(X5))
& elem(m_Down(X7),queue(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& leq(nbr_proc,s(host(X5)))
& setIn(X5,alive)
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X5),X8) )
=> ( X8 = host(X6)
| setIn(X8,index(down,host(X5))) ) ) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X7,X6,X5] :
( ( index(status,host(X5)) = elec_1
& index(status,host(X4)) = elec_2
& host(X7) = host(X5)
& elem(m_Down(X6),queue(host(X5)))
& leq(host(X4),host(X5))
& setIn(X4,alive)
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X5),X8) )
=> ( X8 = host(X6)
| setIn(X8,index(down,host(X5))) ) ) )
=> ~ elem(m_Ack(X4,X7),queue(host(X4))) )
& ! [X4,X6,X5] :
( ( host(index(elid,host(X5))) = host(X6)
& index(status,host(X5)) = wait
& host(X6) = host(X4)
& elem(m_Down(X4),queue(host(X5)))
& setIn(X5,alive)
& host(X5) != host(X6) )
=> ~ ( index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm
& setIn(X6,alive) ) )
& ! [X4,X6,X5] :
( ( index(ldr,host(X5)) = host(X6)
& index(status,host(X5)) = norm
& host(X6) = host(X4)
& elem(m_Down(X4),queue(host(X5)))
& setIn(X5,alive)
& host(X5) != host(X6) )
=> ~ ( index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm
& setIn(X6,alive) ) )
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( setIn(host(X7),index(down,host(X6)))
& elem(m_Down(X5),queue(host(X4))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( elem(m_Down(X7),queue(host(X6)))
& elem(m_Down(X5),queue(host(X4))) ) )
& ! [X4,X6,X5] :
( ( host(X6) = host(X4)
& elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive)
& ~ leq(host(X6),host(X5)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X5,alive)
& setIn(X4,alive) )
=> X5 = X4 )
& ! [X4,X6,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& host(X6) = host(X5)
& setIn(X5,alive) )
=> ~ ( elem(m_Down(X6),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& host(X5) = host(X6)
& elem(m_Down(X6),queue(host(X4)))
& setIn(X5,alive)
& setIn(X4,alive) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& setIn(X5,alive) )
=> ~ ( setIn(host(X5),index(down,host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& setIn(host(X5),index(down,host(X4)))
& setIn(X5,alive)
& setIn(X4,alive) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4] :
( ( setIn(X4,alive)
& ( index(status,host(X4)) = elec_2
| index(status,host(X4)) = elec_1 ) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( ( host(X3) = index(pendack,host(X2))
& index(status,host(X2)) = elec_2
& index(elid,host(X2)) = X1 )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( ( host(X4) = host(X3)
| setIn(host(X4),index(acks,host(X2))) )
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X4) != host(X11)
=> ( host(X2) != host(X11)
=> ( ( index(status,host(X11)) = elec_1
& host(X9) = s(host(X11))
& elem(m_Down(X10),queue(host(X11)))
& elem(m_Down(X9),queue(host(X11)))
& leq(nbr_proc,s(host(X11)))
& setIn(X11,alive)
& ! [X12] :
( ( leq(s(zero),X12)
& ~ leq(host(X11),X12) )
=> ( X12 = host(X10)
| setIn(X12,index(down,host(X11))) ) ) )
=> ~ ( host(X2) = host(X8)
& setIn(X8,alive) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X45,X46,X47,X48] :
( ( elec_1 = index(status,host(X48))
& s(host(X48)) = host(X46)
& elem(m_Down(X46),queue(host(X48)))
& elem(m_Down(X47),queue(host(X48)))
& leq(nbr_proc,s(host(X48)))
& setIn(X48,alive)
& ! [X49] :
( ( leq(s(zero),X49)
& ~ leq(host(X48),X49) )
=> ( host(X47) = X49
| setIn(X49,index(down,host(X48))) ) ) )
=> ~ ( norm = index(status,host(X45))
& host(X45) = index(ldr,host(X45))
& setIn(X45,alive) ) )
& ! [X40,X41,X42,X43] :
( ( elec_1 = index(status,host(X43))
& elec_2 = index(status,host(X40))
& host(X43) = host(X41)
& elem(m_Down(X42),queue(host(X43)))
& leq(host(X40),host(X43))
& setIn(X40,alive)
& ! [X44] :
( ( leq(s(zero),X44)
& ~ leq(host(X43),X44) )
=> ( host(X42) = X44
| setIn(X44,index(down,host(X43))) ) ) )
=> ~ elem(m_Ack(X40,X41),queue(host(X40))) )
& ! [X37,X38,X39] :
( ( host(X38) = host(index(elid,host(X39)))
& wait = index(status,host(X39))
& host(X38) = host(X37)
& elem(m_Down(X37),queue(host(X39)))
& setIn(X39,alive)
& host(X39) != host(X38) )
=> ~ ( host(X38) = index(ldr,host(X38))
& norm = index(status,host(X38))
& setIn(X38,alive) ) )
& ! [X34,X35,X36] :
( ( host(X35) = index(ldr,host(X36))
& norm = index(status,host(X36))
& host(X35) = host(X34)
& elem(m_Down(X34),queue(host(X36)))
& setIn(X36,alive)
& host(X36) != host(X35) )
=> ~ ( host(X35) = index(ldr,host(X35))
& norm = index(status,host(X35))
& setIn(X35,alive) ) )
& ! [X30,X31,X32,X33] :
( ( host(X32) = host(X33)
& host(X30) = host(X31)
& setIn(X32,alive)
& setIn(X30,alive)
& host(X30) != host(X32) )
=> ~ ( setIn(host(X31),index(down,host(X32)))
& elem(m_Down(X33),queue(host(X30))) ) )
& ! [X26,X27,X28,X29] :
( ( host(X28) = host(X29)
& host(X26) = host(X27)
& setIn(X28,alive)
& setIn(X26,alive)
& host(X26) != host(X28) )
=> ~ ( elem(m_Down(X27),queue(host(X28)))
& elem(m_Down(X29),queue(host(X26))) ) )
& ! [X23,X24,X25] :
( ( host(X24) = host(X23)
& elem(m_Down(X24),queue(host(X25)))
& setIn(X25,alive)
& ~ leq(host(X24),host(X25)) )
=> ~ ( norm = index(status,host(X23))
& host(X23) = index(ldr,host(X23))
& setIn(X23,alive) ) )
& ! [X21,X22] :
( ( host(X22) = index(ldr,host(X22))
& norm = index(status,host(X22))
& norm = index(status,host(X21))
& host(X21) = index(ldr,host(X21))
& setIn(X22,alive)
& setIn(X21,alive) )
=> X21 = X22 )
& ! [X18,X19,X20] :
( ( host(X20) = index(ldr,host(X20))
& norm = index(status,host(X20))
& host(X20) = host(X19)
& setIn(X20,alive) )
=> ~ ( elem(m_Down(X19),queue(host(X18)))
& setIn(X18,alive) ) )
& ! [X15,X16,X17] :
( ( elec_2 = index(status,host(X17))
& host(X17) = host(X16)
& elem(m_Down(X16),queue(host(X15)))
& setIn(X17,alive)
& setIn(X15,alive) )
=> leq(index(pendack,host(X17)),host(X15)) )
& ! [X13,X14] :
( ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) )
=> ~ ( setIn(host(X14),index(down,host(X13)))
& setIn(X13,alive) ) )
& ! [X11,X12] :
( ( elec_2 = index(status,host(X12))
& setIn(host(X12),index(down,host(X11)))
& setIn(X12,alive)
& setIn(X11,alive) )
=> leq(index(pendack,host(X12)),host(X11)) )
& ! [X10] :
( ( setIn(X10,alive)
& ( elec_2 = index(status,host(X10))
| elec_1 = index(status,host(X10)) ) )
=> index(elid,host(X10)) = X10 )
& ! [X8,X9] :
( ( host(X8) = host(X9)
& X8 != X9 )
=> ( ~ setIn(X9,alive)
| ~ setIn(X8,alive) ) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X6) != host(X7) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( ( host(X3) = index(pendack,host(X2))
& index(status,host(X2)) = elec_2
& index(elid,host(X2)) = X1 )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X50] :
( ( host(X3) = host(X50)
| setIn(host(X50),index(acks,host(X2))) )
=> ! [X51] :
( host(X2) = host(X51)
=> ! [X52,X53,X54] :
( host(X50) != host(X54)
=> ( host(X2) != host(X54)
=> ( ( elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),queue(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( ( leq(s(zero),X55)
& ~ leq(host(X54),X55) )
=> ( host(X53) = X55
| setIn(X55,index(down,host(X54))) ) ) )
=> ~ ( host(X2) = host(X51)
& setIn(X51,alive) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
? [X0,X1,X2,X3] :
( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X45,X46,X47,X48] :
( elec_1 != index(status,host(X48))
| s(host(X48)) != host(X46)
| ~ elem(m_Down(X46),queue(host(X48)))
| ~ elem(m_Down(X47),queue(host(X48)))
| ~ leq(nbr_proc,s(host(X48)))
| ~ setIn(X48,alive)
| ? [X49] :
( leq(s(zero),X49)
& ~ leq(host(X48),X49)
& host(X47) != X49
& ~ setIn(X49,index(down,host(X48))) )
| norm != index(status,host(X45))
| host(X45) != index(ldr,host(X45))
| ~ setIn(X45,alive) )
& ! [X40,X41,X42,X43] :
( elec_1 != index(status,host(X43))
| elec_2 != index(status,host(X40))
| host(X43) != host(X41)
| ~ elem(m_Down(X42),queue(host(X43)))
| ~ leq(host(X40),host(X43))
| ~ setIn(X40,alive)
| ? [X44] :
( leq(s(zero),X44)
& ~ leq(host(X43),X44)
& host(X42) != X44
& ~ setIn(X44,index(down,host(X43))) )
| ~ elem(m_Ack(X40,X41),queue(host(X40))) )
& ! [X37,X38,X39] :
( host(X38) != host(index(elid,host(X39)))
| wait != index(status,host(X39))
| host(X38) != host(X37)
| ~ elem(m_Down(X37),queue(host(X39)))
| ~ setIn(X39,alive)
| host(X39) = host(X38)
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| ~ setIn(X38,alive) )
& ! [X34,X35,X36] :
( host(X35) != index(ldr,host(X36))
| norm != index(status,host(X36))
| host(X35) != host(X34)
| ~ elem(m_Down(X34),queue(host(X36)))
| ~ setIn(X36,alive)
| host(X36) = host(X35)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| ~ setIn(X35,alive) )
& ! [X30,X31,X32,X33] :
( host(X32) != host(X33)
| host(X30) != host(X31)
| ~ setIn(X32,alive)
| ~ setIn(X30,alive)
| host(X30) = host(X32)
| ~ setIn(host(X31),index(down,host(X32)))
| ~ elem(m_Down(X33),queue(host(X30))) )
& ! [X26,X27,X28,X29] :
( host(X28) != host(X29)
| host(X26) != host(X27)
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| host(X26) = host(X28)
| ~ elem(m_Down(X27),queue(host(X28)))
| ~ elem(m_Down(X29),queue(host(X26))) )
& ! [X23,X24,X25] :
( host(X24) != host(X23)
| ~ elem(m_Down(X24),queue(host(X25)))
| ~ setIn(X25,alive)
| leq(host(X24),host(X25))
| norm != index(status,host(X23))
| host(X23) != index(ldr,host(X23))
| ~ setIn(X23,alive) )
& ! [X21,X22] :
( host(X22) != index(ldr,host(X22))
| norm != index(status,host(X22))
| norm != index(status,host(X21))
| host(X21) != index(ldr,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| X21 = X22 )
& ! [X18,X19,X20] :
( host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| host(X20) != host(X19)
| ~ setIn(X20,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X18,alive) )
& ! [X15,X16,X17] :
( elec_2 != index(status,host(X17))
| host(X17) != host(X16)
| ~ elem(m_Down(X16),queue(host(X15)))
| ~ setIn(X17,alive)
| ~ setIn(X15,alive)
| leq(index(pendack,host(X17)),host(X15)) )
& ! [X13,X14] :
( host(X14) != index(ldr,host(X14))
| norm != index(status,host(X14))
| ~ setIn(X14,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X13,alive) )
& ! [X11,X12] :
( elec_2 != index(status,host(X12))
| ~ setIn(host(X12),index(down,host(X11)))
| ~ setIn(X12,alive)
| ~ setIn(X11,alive)
| leq(index(pendack,host(X12)),host(X11)) )
& ! [X10] :
( ~ setIn(X10,alive)
| ( elec_2 != index(status,host(X10))
& elec_1 != index(status,host(X10)) )
| index(elid,host(X10)) = X10 )
& ! [X8,X9] :
( host(X8) != host(X9)
| X8 = X9
| ~ setIn(X9,alive)
| ~ setIn(X8,alive) )
& ! [X6,X7] :
( ~ elem(m_Down(X7),queue(host(X6)))
| host(X6) != host(X7) )
& ! [X4,X5] :
( ~ elem(m_Ldr(X5),queue(host(X4)))
| ~ leq(host(X4),host(X5)) )
& setIn(X2,alive)
& host(X3) = index(pendack,host(X2))
& index(status,host(X2)) = elec_2
& index(elid,host(X2)) = X1
& leq(nbr_proc,index(pendack,host(X2)))
& ? [X50] :
( ( host(X3) = host(X50)
| setIn(host(X50),index(acks,host(X2))) )
& ? [X51] :
( host(X2) = host(X51)
& ? [X52,X53,X54] :
( host(X50) != host(X54)
& host(X2) != host(X54)
& elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),queue(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( ~ leq(s(zero),X55)
| leq(host(X54),X55)
| host(X53) = X55
| setIn(X55,index(down,host(X54))) )
& host(X2) = host(X51)
& setIn(X51,alive) ) ) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f71,plain,
? [X0,X1,X2,X3] :
( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X45,X46,X47,X48] :
( elec_1 != index(status,host(X48))
| s(host(X48)) != host(X46)
| ~ elem(m_Down(X46),queue(host(X48)))
| ~ elem(m_Down(X47),queue(host(X48)))
| ~ leq(nbr_proc,s(host(X48)))
| ~ setIn(X48,alive)
| ? [X49] :
( leq(s(zero),X49)
& ~ leq(host(X48),X49)
& host(X47) != X49
& ~ setIn(X49,index(down,host(X48))) )
| norm != index(status,host(X45))
| host(X45) != index(ldr,host(X45))
| ~ setIn(X45,alive) )
& ! [X40,X41,X42,X43] :
( elec_1 != index(status,host(X43))
| elec_2 != index(status,host(X40))
| host(X43) != host(X41)
| ~ elem(m_Down(X42),queue(host(X43)))
| ~ leq(host(X40),host(X43))
| ~ setIn(X40,alive)
| ? [X44] :
( leq(s(zero),X44)
& ~ leq(host(X43),X44)
& host(X42) != X44
& ~ setIn(X44,index(down,host(X43))) )
| ~ elem(m_Ack(X40,X41),queue(host(X40))) )
& ! [X37,X38,X39] :
( host(X38) != host(index(elid,host(X39)))
| wait != index(status,host(X39))
| host(X38) != host(X37)
| ~ elem(m_Down(X37),queue(host(X39)))
| ~ setIn(X39,alive)
| host(X39) = host(X38)
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| ~ setIn(X38,alive) )
& ! [X34,X35,X36] :
( host(X35) != index(ldr,host(X36))
| norm != index(status,host(X36))
| host(X35) != host(X34)
| ~ elem(m_Down(X34),queue(host(X36)))
| ~ setIn(X36,alive)
| host(X36) = host(X35)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| ~ setIn(X35,alive) )
& ! [X30,X31,X32,X33] :
( host(X32) != host(X33)
| host(X30) != host(X31)
| ~ setIn(X32,alive)
| ~ setIn(X30,alive)
| host(X30) = host(X32)
| ~ setIn(host(X31),index(down,host(X32)))
| ~ elem(m_Down(X33),queue(host(X30))) )
& ! [X26,X27,X28,X29] :
( host(X28) != host(X29)
| host(X26) != host(X27)
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| host(X26) = host(X28)
| ~ elem(m_Down(X27),queue(host(X28)))
| ~ elem(m_Down(X29),queue(host(X26))) )
& ! [X23,X24,X25] :
( host(X24) != host(X23)
| ~ elem(m_Down(X24),queue(host(X25)))
| ~ setIn(X25,alive)
| leq(host(X24),host(X25))
| norm != index(status,host(X23))
| host(X23) != index(ldr,host(X23))
| ~ setIn(X23,alive) )
& ! [X21,X22] :
( host(X22) != index(ldr,host(X22))
| norm != index(status,host(X22))
| norm != index(status,host(X21))
| host(X21) != index(ldr,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| X21 = X22 )
& ! [X18,X19,X20] :
( host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| host(X20) != host(X19)
| ~ setIn(X20,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X18,alive) )
& ! [X15,X16,X17] :
( elec_2 != index(status,host(X17))
| host(X17) != host(X16)
| ~ elem(m_Down(X16),queue(host(X15)))
| ~ setIn(X17,alive)
| ~ setIn(X15,alive)
| leq(index(pendack,host(X17)),host(X15)) )
& ! [X13,X14] :
( host(X14) != index(ldr,host(X14))
| norm != index(status,host(X14))
| ~ setIn(X14,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X13,alive) )
& ! [X11,X12] :
( elec_2 != index(status,host(X12))
| ~ setIn(host(X12),index(down,host(X11)))
| ~ setIn(X12,alive)
| ~ setIn(X11,alive)
| leq(index(pendack,host(X12)),host(X11)) )
& ! [X10] :
( ~ setIn(X10,alive)
| ( elec_2 != index(status,host(X10))
& elec_1 != index(status,host(X10)) )
| index(elid,host(X10)) = X10 )
& ! [X8,X9] :
( host(X8) != host(X9)
| X8 = X9
| ~ setIn(X9,alive)
| ~ setIn(X8,alive) )
& ! [X6,X7] :
( ~ elem(m_Down(X7),queue(host(X6)))
| host(X6) != host(X7) )
& ! [X4,X5] :
( ~ elem(m_Ldr(X5),queue(host(X4)))
| ~ leq(host(X4),host(X5)) )
& setIn(X2,alive)
& host(X3) = index(pendack,host(X2))
& index(status,host(X2)) = elec_2
& index(elid,host(X2)) = X1
& leq(nbr_proc,index(pendack,host(X2)))
& ? [X50] :
( ( host(X3) = host(X50)
| setIn(host(X50),index(acks,host(X2))) )
& ? [X51] :
( host(X2) = host(X51)
& ? [X52,X53,X54] :
( host(X50) != host(X54)
& host(X2) != host(X54)
& elec_1 = index(status,host(X54))
& s(host(X54)) = host(X52)
& elem(m_Down(X53),queue(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& leq(nbr_proc,s(host(X54)))
& setIn(X54,alive)
& ! [X55] :
( ~ leq(s(zero),X55)
| leq(host(X54),X55)
| host(X53) = X55
| setIn(X55,index(down,host(X54))) )
& host(X2) = host(X51)
& setIn(X51,alive) ) ) ) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ ordered(X0)
| ordered(snoc(X0,m_Ack(X1,X2))) ),
inference(ennf_transformation,[],[f56]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(ennf_transformation,[],[f33]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(ennf_transformation,[],[f32]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ elem(m_Down(X2),X0)
| host(X1) != host(X2)
| ~ ordered(cons(m_Halt(X1),X0))
| leq(X1,X2) ),
inference(ennf_transformation,[],[f58]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ~ elem(m_Down(X2),X0)
| host(X1) != host(X2)
| ~ ordered(cons(m_Halt(X1),X0))
| leq(X1,X2) ),
inference(flattening,[],[f75]) ).
fof(f78,plain,
! [X0,X1] :
( s(host(X0)) != host(X1)
| host(X0) != host(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(ennf_transformation,[],[f63]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1] :
( ~ ordered(X0)
| ordered(snoc(X0,m_Ldr(X1))) ),
inference(ennf_transformation,[],[f57]) ).
fof(f82,plain,
? [X0,X1,X2,X3] :
( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X51,X52,X53,X54] :
( elec_1 != index(status,host(X54))
| s(host(X54)) != host(X52)
| ~ elem(m_Down(X52),queue(host(X54)))
| ~ elem(m_Down(X53),queue(host(X54)))
| ~ leq(nbr_proc,s(host(X54)))
| ~ setIn(X54,alive)
| ? [X55] :
( leq(s(zero),X55)
& ~ leq(host(X54),X55)
& host(X53) != X55
& ~ setIn(X55,index(down,host(X54))) )
| norm != index(status,host(X51))
| host(X51) != index(ldr,host(X51))
| ~ setIn(X51,alive) )
& ! [X46,X47,X48,X49] :
( elec_1 != index(status,host(X49))
| elec_2 != index(status,host(X46))
| host(X47) != host(X49)
| ~ elem(m_Down(X48),queue(host(X49)))
| ~ leq(host(X46),host(X49))
| ~ setIn(X46,alive)
| ? [X50] :
( leq(s(zero),X50)
& ~ leq(host(X49),X50)
& host(X48) != X50
& ~ setIn(X50,index(down,host(X49))) )
| ~ elem(m_Ack(X46,X47),queue(host(X46))) )
& ! [X43,X44,X45] :
( host(X44) != host(index(elid,host(X45)))
| wait != index(status,host(X45))
| host(X43) != host(X44)
| ~ elem(m_Down(X43),queue(host(X45)))
| ~ setIn(X45,alive)
| host(X45) = host(X44)
| host(X44) != index(ldr,host(X44))
| norm != index(status,host(X44))
| ~ setIn(X44,alive) )
& ! [X40,X41,X42] :
( host(X41) != index(ldr,host(X42))
| norm != index(status,host(X42))
| host(X40) != host(X41)
| ~ elem(m_Down(X40),queue(host(X42)))
| ~ setIn(X42,alive)
| host(X42) = host(X41)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| ~ setIn(X41,alive) )
& ! [X36,X37,X38,X39] :
( host(X39) != host(X38)
| host(X36) != host(X37)
| ~ setIn(X38,alive)
| ~ setIn(X36,alive)
| host(X36) = host(X38)
| ~ setIn(host(X37),index(down,host(X38)))
| ~ elem(m_Down(X39),queue(host(X36))) )
& ! [X32,X33,X34,X35] :
( host(X35) != host(X34)
| host(X32) != host(X33)
| ~ setIn(X34,alive)
| ~ setIn(X32,alive)
| host(X32) = host(X34)
| ~ elem(m_Down(X33),queue(host(X34)))
| ~ elem(m_Down(X35),queue(host(X32))) )
& ! [X29,X30,X31] :
( host(X29) != host(X30)
| ~ elem(m_Down(X30),queue(host(X31)))
| ~ setIn(X31,alive)
| leq(host(X30),host(X31))
| norm != index(status,host(X29))
| host(X29) != index(ldr,host(X29))
| ~ setIn(X29,alive) )
& ! [X27,X28] :
( host(X28) != index(ldr,host(X28))
| norm != index(status,host(X28))
| norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| X27 = X28 )
& ! [X24,X25,X26] :
( host(X26) != index(ldr,host(X26))
| norm != index(status,host(X26))
| host(X25) != host(X26)
| ~ setIn(X26,alive)
| ~ elem(m_Down(X25),queue(host(X24)))
| ~ setIn(X24,alive) )
& ! [X21,X22,X23] :
( elec_2 != index(status,host(X23))
| host(X22) != host(X23)
| ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X23,alive)
| ~ setIn(X21,alive)
| leq(index(pendack,host(X23)),host(X21)) )
& ! [X19,X20] :
( host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X20,alive)
| ~ setIn(host(X20),index(down,host(X19)))
| ~ setIn(X19,alive) )
& ! [X17,X18] :
( elec_2 != index(status,host(X18))
| ~ setIn(host(X18),index(down,host(X17)))
| ~ setIn(X18,alive)
| ~ setIn(X17,alive)
| leq(index(pendack,host(X18)),host(X17)) )
& ! [X16] :
( ~ setIn(X16,alive)
| ( elec_2 != index(status,host(X16))
& elec_1 != index(status,host(X16)) )
| index(elid,host(X16)) = X16 )
& ! [X14,X15] :
( host(X14) != host(X15)
| X14 = X15
| ~ setIn(X15,alive)
| ~ setIn(X14,alive) )
& ! [X12,X13] :
( ~ elem(m_Down(X13),queue(host(X12)))
| host(X12) != host(X13) )
& ! [X10,X11] :
( ~ elem(m_Ldr(X11),queue(host(X10)))
| ~ leq(host(X10),host(X11)) )
& setIn(X2,alive)
& host(X3) = index(pendack,host(X2))
& index(status,host(X2)) = elec_2
& index(elid,host(X2)) = X1
& leq(nbr_proc,index(pendack,host(X2)))
& ? [X4] :
( ( host(X4) = host(X3)
| setIn(host(X4),index(acks,host(X2))) )
& ? [X5] :
( host(X2) = host(X5)
& ? [X6,X7,X8] :
( host(X4) != host(X8)
& host(X2) != host(X8)
& elec_1 = index(status,host(X8))
& host(X6) = s(host(X8))
& elem(m_Down(X7),queue(host(X8)))
& elem(m_Down(X6),queue(host(X8)))
& leq(nbr_proc,s(host(X8)))
& setIn(X8,alive)
& ! [X9] :
( ~ leq(s(zero),X9)
| leq(host(X8),X9)
| host(X7) = X9
| setIn(X9,index(down,host(X8))) )
& host(X2) = host(X5)
& setIn(X5,alive) ) ) ) ),
inference(rectify,[],[f71]) ).
fof(f83,plain,
( queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0)
& ! [X51,X52,X53,X54] :
( elec_1 != index(status,host(X54))
| s(host(X54)) != host(X52)
| ~ elem(m_Down(X52),queue(host(X54)))
| ~ elem(m_Down(X53),queue(host(X54)))
| ~ leq(nbr_proc,s(host(X54)))
| ~ setIn(X54,alive)
| ( leq(s(zero),sK10(X53,X54))
& ~ leq(host(X54),sK10(X53,X54))
& host(X53) != sK10(X53,X54)
& ~ setIn(sK10(X53,X54),index(down,host(X54))) )
| norm != index(status,host(X51))
| host(X51) != index(ldr,host(X51))
| ~ setIn(X51,alive) )
& ! [X46,X47,X48,X49] :
( elec_1 != index(status,host(X49))
| elec_2 != index(status,host(X46))
| host(X47) != host(X49)
| ~ elem(m_Down(X48),queue(host(X49)))
| ~ leq(host(X46),host(X49))
| ~ setIn(X46,alive)
| ( leq(s(zero),sK9(X48,X49))
& ~ leq(host(X49),sK9(X48,X49))
& host(X48) != sK9(X48,X49)
& ~ setIn(sK9(X48,X49),index(down,host(X49))) )
| ~ elem(m_Ack(X46,X47),queue(host(X46))) )
& ! [X43,X44,X45] :
( host(X44) != host(index(elid,host(X45)))
| wait != index(status,host(X45))
| host(X43) != host(X44)
| ~ elem(m_Down(X43),queue(host(X45)))
| ~ setIn(X45,alive)
| host(X45) = host(X44)
| host(X44) != index(ldr,host(X44))
| norm != index(status,host(X44))
| ~ setIn(X44,alive) )
& ! [X40,X41,X42] :
( host(X41) != index(ldr,host(X42))
| norm != index(status,host(X42))
| host(X40) != host(X41)
| ~ elem(m_Down(X40),queue(host(X42)))
| ~ setIn(X42,alive)
| host(X42) = host(X41)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| ~ setIn(X41,alive) )
& ! [X36,X37,X38,X39] :
( host(X39) != host(X38)
| host(X36) != host(X37)
| ~ setIn(X38,alive)
| ~ setIn(X36,alive)
| host(X36) = host(X38)
| ~ setIn(host(X37),index(down,host(X38)))
| ~ elem(m_Down(X39),queue(host(X36))) )
& ! [X32,X33,X34,X35] :
( host(X35) != host(X34)
| host(X32) != host(X33)
| ~ setIn(X34,alive)
| ~ setIn(X32,alive)
| host(X32) = host(X34)
| ~ elem(m_Down(X33),queue(host(X34)))
| ~ elem(m_Down(X35),queue(host(X32))) )
& ! [X29,X30,X31] :
( host(X29) != host(X30)
| ~ elem(m_Down(X30),queue(host(X31)))
| ~ setIn(X31,alive)
| leq(host(X30),host(X31))
| norm != index(status,host(X29))
| host(X29) != index(ldr,host(X29))
| ~ setIn(X29,alive) )
& ! [X27,X28] :
( host(X28) != index(ldr,host(X28))
| norm != index(status,host(X28))
| norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| X27 = X28 )
& ! [X24,X25,X26] :
( host(X26) != index(ldr,host(X26))
| norm != index(status,host(X26))
| host(X25) != host(X26)
| ~ setIn(X26,alive)
| ~ elem(m_Down(X25),queue(host(X24)))
| ~ setIn(X24,alive) )
& ! [X21,X22,X23] :
( elec_2 != index(status,host(X23))
| host(X22) != host(X23)
| ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X23,alive)
| ~ setIn(X21,alive)
| leq(index(pendack,host(X23)),host(X21)) )
& ! [X19,X20] :
( host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X20,alive)
| ~ setIn(host(X20),index(down,host(X19)))
| ~ setIn(X19,alive) )
& ! [X17,X18] :
( elec_2 != index(status,host(X18))
| ~ setIn(host(X18),index(down,host(X17)))
| ~ setIn(X18,alive)
| ~ setIn(X17,alive)
| leq(index(pendack,host(X18)),host(X17)) )
& ! [X16] :
( ~ setIn(X16,alive)
| ( elec_2 != index(status,host(X16))
& elec_1 != index(status,host(X16)) )
| index(elid,host(X16)) = X16 )
& ! [X14,X15] :
( host(X14) != host(X15)
| X14 = X15
| ~ setIn(X15,alive)
| ~ setIn(X14,alive) )
& ! [X12,X13] :
( ~ elem(m_Down(X13),queue(host(X12)))
| host(X12) != host(X13) )
& ! [X10,X11] :
( ~ elem(m_Ldr(X11),queue(host(X10)))
| ~ leq(host(X10),host(X11)) )
& setIn(sK2,alive)
& host(sK3) = index(pendack,host(sK2))
& elec_2 = index(status,host(sK2))
& sK1 = index(elid,host(sK2))
& leq(nbr_proc,index(pendack,host(sK2)))
& ( host(sK4) = host(sK3)
| setIn(host(sK4),index(acks,host(sK2))) )
& host(sK2) = host(sK5)
& host(sK8) != host(sK4)
& host(sK2) != host(sK8)
& elec_1 = index(status,host(sK8))
& s(host(sK8)) = host(sK6)
& elem(m_Down(sK7),queue(host(sK8)))
& elem(m_Down(sK6),queue(host(sK8)))
& leq(nbr_proc,s(host(sK8)))
& setIn(sK8,alive)
& ! [X9] :
( ~ leq(s(zero),X9)
| leq(host(sK8),X9)
| host(sK7) = X9
| setIn(X9,index(down,host(sK8))) )
& host(sK2) = host(sK5)
& setIn(sK5,alive) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X50,sK9(X48,X49)),skolemize(X55,sK10(X53,X54))],[f82]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 )
& ( ( ~ elem(X0,X2)
& X0 != X1 )
| elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 )
& ( ( ~ elem(X0,X2)
& X0 != X1 )
| elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( ~ elem(X0,cons(X1,X2))
| elem(X0,X2)
| X0 = X1 )
& ( ( ~ elem(X0,X2)
& X0 != X1 )
| elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( ~ elem(X0,cons(X1,X2))
| elem(X0,X2)
| X0 = X1 )
& ( ( ~ elem(X0,X2)
& X0 != X1 )
| elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ( leq(X1,X0)
& leq(X0,X1) ) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f89,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ( leq(X1,X0)
& leq(X0,X1) ) ) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ( ~ leq(X0,s(X1))
| leq(X0,X1)
| X0 = s(X1) )
& ( ( ~ leq(X0,X1)
& s(X1) != X0 )
| leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f91,plain,
! [X0,X1] :
( ( ~ leq(X0,s(X1))
| leq(X0,X1)
| X0 = s(X1) )
& ( ( ~ leq(X0,X1)
& s(X1) != X0 )
| leq(X0,s(X1)) ) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( ( ~ leq(X0,X1)
| leq(s(X0),s(X1)) )
& ( ~ leq(s(X0),s(X1))
| leq(X0,X1) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f93,plain,
! [X0,X1] :
( ( X0 = X1
| m_Down(X0) != m_Down(X1) )
& ( m_Down(X0) = m_Down(X1)
| X0 != X1 ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f94,plain,
! [X0,X1] :
( ( X0 = X1
| m_Ldr(X0) != m_Ldr(X1) )
& ( m_Ldr(X1) = m_Ldr(X0)
| X0 != X1 ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f95,plain,
! [X0,X1] :
( ( X0 = X1
| m_Halt(X0) != m_Halt(X1) )
& ( m_Halt(X1) = m_Halt(X0)
| X0 != X1 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f96,plain,
! [X0,X1] :
( ( X0 = X1
| m_NotNorm(X0) != m_NotNorm(X1) )
& ( m_NotNorm(X0) = m_NotNorm(X1)
| X0 != X1 ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f97,plain,
! [X0,X1] :
( ( X0 = X1
| m_NormQ(X0) != m_NormQ(X1) )
& ( m_NormQ(X1) = m_NormQ(X0)
| X0 != X1 ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f98,plain,
queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f99,plain,
! [X51,X54,X52,X53] :
( elec_1 != index(status,host(X54))
| s(host(X54)) != host(X52)
| ~ elem(m_Down(X52),queue(host(X54)))
| ~ elem(m_Down(X53),queue(host(X54)))
| ~ leq(nbr_proc,s(host(X54)))
| ~ setIn(X54,alive)
| leq(s(zero),sK10(X53,X54))
| norm != index(status,host(X51))
| host(X51) != index(ldr,host(X51))
| ~ setIn(X51,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f100,plain,
! [X51,X54,X52,X53] :
( elec_1 != index(status,host(X54))
| s(host(X54)) != host(X52)
| ~ elem(m_Down(X52),queue(host(X54)))
| ~ elem(m_Down(X53),queue(host(X54)))
| ~ leq(nbr_proc,s(host(X54)))
| ~ setIn(X54,alive)
| ~ leq(host(X54),sK10(X53,X54))
| norm != index(status,host(X51))
| host(X51) != index(ldr,host(X51))
| ~ setIn(X51,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f101,plain,
! [X51,X54,X52,X53] :
( elec_1 != index(status,host(X54))
| s(host(X54)) != host(X52)
| ~ elem(m_Down(X52),queue(host(X54)))
| ~ elem(m_Down(X53),queue(host(X54)))
| ~ leq(nbr_proc,s(host(X54)))
| ~ setIn(X54,alive)
| host(X53) != sK10(X53,X54)
| norm != index(status,host(X51))
| host(X51) != index(ldr,host(X51))
| ~ setIn(X51,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f102,plain,
! [X51,X54,X52,X53] :
( elec_1 != index(status,host(X54))
| s(host(X54)) != host(X52)
| ~ elem(m_Down(X52),queue(host(X54)))
| ~ elem(m_Down(X53),queue(host(X54)))
| ~ leq(nbr_proc,s(host(X54)))
| ~ setIn(X54,alive)
| ~ setIn(sK10(X53,X54),index(down,host(X54)))
| norm != index(status,host(X51))
| host(X51) != index(ldr,host(X51))
| ~ setIn(X51,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f103,plain,
! [X48,X46,X49,X47] :
( elec_1 != index(status,host(X49))
| elec_2 != index(status,host(X46))
| host(X47) != host(X49)
| ~ elem(m_Down(X48),queue(host(X49)))
| ~ leq(host(X46),host(X49))
| ~ setIn(X46,alive)
| leq(s(zero),sK9(X48,X49))
| ~ elem(m_Ack(X46,X47),queue(host(X46))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f104,plain,
! [X48,X46,X49,X47] :
( elec_1 != index(status,host(X49))
| elec_2 != index(status,host(X46))
| host(X47) != host(X49)
| ~ elem(m_Down(X48),queue(host(X49)))
| ~ leq(host(X46),host(X49))
| ~ setIn(X46,alive)
| ~ leq(host(X49),sK9(X48,X49))
| ~ elem(m_Ack(X46,X47),queue(host(X46))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f105,plain,
! [X48,X46,X49,X47] :
( elec_1 != index(status,host(X49))
| elec_2 != index(status,host(X46))
| host(X47) != host(X49)
| ~ elem(m_Down(X48),queue(host(X49)))
| ~ leq(host(X46),host(X49))
| ~ setIn(X46,alive)
| host(X48) != sK9(X48,X49)
| ~ elem(m_Ack(X46,X47),queue(host(X46))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f106,plain,
! [X48,X46,X49,X47] :
( elec_1 != index(status,host(X49))
| elec_2 != index(status,host(X46))
| host(X47) != host(X49)
| ~ elem(m_Down(X48),queue(host(X49)))
| ~ leq(host(X46),host(X49))
| ~ setIn(X46,alive)
| ~ setIn(sK9(X48,X49),index(down,host(X49)))
| ~ elem(m_Ack(X46,X47),queue(host(X46))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f107,plain,
! [X44,X45,X43] :
( host(X44) != host(index(elid,host(X45)))
| wait != index(status,host(X45))
| host(X43) != host(X44)
| ~ elem(m_Down(X43),queue(host(X45)))
| ~ setIn(X45,alive)
| host(X45) = host(X44)
| host(X44) != index(ldr,host(X44))
| norm != index(status,host(X44))
| ~ setIn(X44,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f108,plain,
! [X40,X41,X42] :
( host(X41) != index(ldr,host(X42))
| norm != index(status,host(X42))
| host(X40) != host(X41)
| ~ elem(m_Down(X40),queue(host(X42)))
| ~ setIn(X42,alive)
| host(X42) = host(X41)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| ~ setIn(X41,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f109,plain,
! [X38,X39,X36,X37] :
( host(X39) != host(X38)
| host(X36) != host(X37)
| ~ setIn(X38,alive)
| ~ setIn(X36,alive)
| host(X36) = host(X38)
| ~ setIn(host(X37),index(down,host(X38)))
| ~ elem(m_Down(X39),queue(host(X36))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f110,plain,
! [X34,X35,X32,X33] :
( host(X35) != host(X34)
| host(X32) != host(X33)
| ~ setIn(X34,alive)
| ~ setIn(X32,alive)
| host(X32) = host(X34)
| ~ elem(m_Down(X33),queue(host(X34)))
| ~ elem(m_Down(X35),queue(host(X32))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f111,plain,
! [X31,X29,X30] :
( host(X29) != host(X30)
| ~ elem(m_Down(X30),queue(host(X31)))
| ~ setIn(X31,alive)
| leq(host(X30),host(X31))
| norm != index(status,host(X29))
| host(X29) != index(ldr,host(X29))
| ~ setIn(X29,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f112,plain,
! [X28,X27] :
( host(X28) != index(ldr,host(X28))
| norm != index(status,host(X28))
| norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| X27 = X28 ),
inference(cnf_transformation,[],[f83]) ).
fof(f113,plain,
! [X26,X24,X25] :
( host(X26) != index(ldr,host(X26))
| norm != index(status,host(X26))
| host(X25) != host(X26)
| ~ setIn(X26,alive)
| ~ elem(m_Down(X25),queue(host(X24)))
| ~ setIn(X24,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f114,plain,
! [X21,X22,X23] :
( elec_2 != index(status,host(X23))
| host(X22) != host(X23)
| ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X23,alive)
| ~ setIn(X21,alive)
| leq(index(pendack,host(X23)),host(X21)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f115,plain,
! [X19,X20] :
( host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X20,alive)
| ~ setIn(host(X20),index(down,host(X19)))
| ~ setIn(X19,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f116,plain,
! [X18,X17] :
( elec_2 != index(status,host(X18))
| ~ setIn(host(X18),index(down,host(X17)))
| ~ setIn(X18,alive)
| ~ setIn(X17,alive)
| leq(index(pendack,host(X18)),host(X17)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f117,plain,
! [X16] :
( ~ setIn(X16,alive)
| elec_2 != index(status,host(X16))
| index(elid,host(X16)) = X16 ),
inference(cnf_transformation,[],[f83]) ).
fof(f118,plain,
! [X16] :
( ~ setIn(X16,alive)
| elec_1 != index(status,host(X16))
| index(elid,host(X16)) = X16 ),
inference(cnf_transformation,[],[f83]) ).
fof(f119,plain,
! [X14,X15] :
( host(X14) != host(X15)
| X14 = X15
| ~ setIn(X15,alive)
| ~ setIn(X14,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f120,plain,
! [X12,X13] :
( ~ elem(m_Down(X13),queue(host(X12)))
| host(X12) != host(X13) ),
inference(cnf_transformation,[],[f83]) ).
fof(f121,plain,
! [X10,X11] :
( ~ elem(m_Ldr(X11),queue(host(X10)))
| ~ leq(host(X10),host(X11)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f122,plain,
setIn(sK2,alive),
inference(cnf_transformation,[],[f83]) ).
fof(f123,plain,
host(sK3) = index(pendack,host(sK2)),
inference(cnf_transformation,[],[f83]) ).
fof(f124,plain,
elec_2 = index(status,host(sK2)),
inference(cnf_transformation,[],[f83]) ).
fof(f125,plain,
sK1 = index(elid,host(sK2)),
inference(cnf_transformation,[],[f83]) ).
fof(f126,plain,
leq(nbr_proc,index(pendack,host(sK2))),
inference(cnf_transformation,[],[f83]) ).
fof(f127,plain,
( host(sK4) = host(sK3)
| setIn(host(sK4),index(acks,host(sK2))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f128,plain,
host(sK2) = host(sK5),
inference(cnf_transformation,[],[f83]) ).
fof(f129,plain,
host(sK8) != host(sK4),
inference(cnf_transformation,[],[f83]) ).
fof(f130,plain,
host(sK2) != host(sK8),
inference(cnf_transformation,[],[f83]) ).
fof(f131,plain,
elec_1 = index(status,host(sK8)),
inference(cnf_transformation,[],[f83]) ).
fof(f132,plain,
s(host(sK8)) = host(sK6),
inference(cnf_transformation,[],[f83]) ).
fof(f133,plain,
elem(m_Down(sK7),queue(host(sK8))),
inference(cnf_transformation,[],[f83]) ).
fof(f134,plain,
elem(m_Down(sK6),queue(host(sK8))),
inference(cnf_transformation,[],[f83]) ).
fof(f135,plain,
leq(nbr_proc,s(host(sK8))),
inference(cnf_transformation,[],[f83]) ).
fof(f136,plain,
setIn(sK8,alive),
inference(cnf_transformation,[],[f83]) ).
fof(f137,plain,
! [X9] :
( ~ leq(s(zero),X9)
| leq(host(sK8),X9)
| host(sK7) = X9
| setIn(X9,index(down,host(sK8))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f139,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f83]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ ordered(X0)
| ordered(snoc(X0,m_Ack(X1,X2))) ),
inference(cnf_transformation,[],[f72]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(cnf_transformation,[],[f73]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(cnf_transformation,[],[f74]) ).
fof(f143,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f15]) ).
fof(f144,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f13]) ).
fof(f145,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f12]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ elem(m_Down(X2),X0)
| host(X1) != host(X2)
| ~ ordered(cons(m_Halt(X1),X0))
| leq(X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ elem(X0,X2)
| elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f149,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| elem(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f87]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ elem(X0,X2)
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f152,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f153,plain,
! [X0] : ~ elem(X0,q_nil),
inference(cnf_transformation,[],[f46]) ).
fof(f155,plain,
! [X0,X1] :
( s(host(X0)) != host(X1)
| host(X0) != host(X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f157,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f160,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f161,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f60]) ).
fof(f162,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,X1)
| s(X1) = X0 ),
inference(cnf_transformation,[],[f91]) ).
fof(f163,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f165,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f166,plain,
! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f167,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f59]) ).
fof(f168,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f4]) ).
fof(f169,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f170,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f172,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f173,plain,
elec_1 != elec_2,
inference(cnf_transformation,[],[f6]) ).
fof(f174,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f175,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f176,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f177,plain,
! [X0,X1] :
( X0 = X1
| m_Down(X0) != m_Down(X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f179,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f19]) ).
fof(f180,plain,
! [X0,X1] : m_Halt(X1) != m_Down(X0),
inference(cnf_transformation,[],[f18]) ).
fof(f181,plain,
! [X0,X1] :
( ~ ordered(X0)
| ordered(snoc(X0,m_Ldr(X1))) ),
inference(cnf_transformation,[],[f81]) ).
fof(f182,plain,
! [X0,X1] :
( X0 = X1
| m_Ldr(X1) != m_Ldr(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f184,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f25]) ).
fof(f185,plain,
! [X0,X1] : m_NormQ(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f24]) ).
fof(f186,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f23]) ).
fof(f187,plain,
! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(cnf_transformation,[],[f45]) ).
fof(f188,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(cnf_transformation,[],[f44]) ).
fof(f189,plain,
! [X0,X1] : cons(X0,X1) != q_nil,
inference(cnf_transformation,[],[f42]) ).
fof(f191,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(cnf_transformation,[],[f53]) ).
fof(f192,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f193,plain,
! [X0,X1] : snoc(X1,X0) != q_nil,
inference(cnf_transformation,[],[f43]) ).
fof(f194,plain,
! [X0,X1] :
( X0 = X1
| m_Halt(X1) != m_Halt(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f196,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f22]) ).
fof(f197,plain,
! [X0,X1] : m_NotNorm(X0) != m_Halt(X1),
inference(cnf_transformation,[],[f17]) ).
fof(f198,plain,
! [X0,X1] :
( X0 = X1
| m_NotNorm(X0) != m_NotNorm(X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f200,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f26]) ).
fof(f201,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f20]) ).
fof(f202,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(cnf_transformation,[],[f14]) ).
fof(f203,plain,
! [X0,X1] :
( X0 = X1
| m_NormQ(X1) != m_NormQ(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f205,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f21]) ).
fof(f206,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2),
inference(cnf_transformation,[],[f16]) ).
fof(f207,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f149]) ).
fof(f208,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f152]) ).
tcf(c_49,negated_conjecture,
setIn(sK5,alive),
inference(cnf_transformation,[],[f139]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] :
( leq(host(sK8),X0)
| setIn(X0,index(down,host(sK8)))
| ( host(sK7) = X0 )
| ~ leq(s(zero),X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_52,negated_conjecture,
setIn(sK8,alive),
inference(cnf_transformation,[],[f136]) ).
tcf(c_53,negated_conjecture,
leq(nbr_proc,s(host(sK8))),
inference(cnf_transformation,[],[f135]) ).
tcf(c_54,negated_conjecture,
elem(m_Down(sK6),queue(host(sK8))),
inference(cnf_transformation,[],[f134]) ).
tcf(c_55,negated_conjecture,
elem(m_Down(sK7),queue(host(sK8))),
inference(cnf_transformation,[],[f133]) ).
tcf(c_56,negated_conjecture,
s(host(sK8)) = host(sK6),
inference(cnf_transformation,[],[f132]) ).
tcf(c_57,negated_conjecture,
index(status,host(sK8)) = elec_1,
inference(cnf_transformation,[],[f131]) ).
tcf(c_58,negated_conjecture,
host(sK2) != host(sK8),
inference(cnf_transformation,[],[f130]) ).
tcf(c_59,negated_conjecture,
host(sK8) != host(sK4),
inference(cnf_transformation,[],[f129]) ).
tcf(c_60,negated_conjecture,
host(sK5) = host(sK2),
inference(cnf_transformation,[],[f128]) ).
tcf(c_61,negated_conjecture,
( setIn(host(sK4),index(acks,host(sK2)))
| ( host(sK4) = host(sK3) ) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_62,negated_conjecture,
leq(nbr_proc,index(pendack,host(sK2))),
inference(cnf_transformation,[],[f126]) ).
tcf(c_63,negated_conjecture,
index(elid,host(sK2)) = sK1,
inference(cnf_transformation,[],[f125]) ).
tcf(c_64,negated_conjecture,
index(status,host(sK2)) = elec_2,
inference(cnf_transformation,[],[f124]) ).
tcf(c_65,negated_conjecture,
index(pendack,host(sK2)) = host(sK3),
inference(cnf_transformation,[],[f123]) ).
tcf(c_66,negated_conjecture,
setIn(sK2,alive),
inference(cnf_transformation,[],[f122]) ).
tcf(c_67,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ leq(host(X1),host(X0))
| ~ elem(m_Ldr(X0),queue(host(X1))) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_68,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X0) != host(X1) ) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_69,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ( host(X0) != host(X1) ) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_70,negated_conjecture,
! [X0: $i] :
( ( index(elid,host(X0)) = X0 )
| ~ setIn(X0,alive)
| ( index(status,host(X0)) != elec_1 ) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_71,negated_conjecture,
! [X0: $i] :
( ( index(elid,host(X0)) = X0 )
| ~ setIn(X0,alive)
| ( index(status,host(X0)) != elec_2 ) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_72,negated_conjecture,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(X0)),host(X1))
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(X0),index(down,host(X1)))
| ( index(status,host(X0)) != elec_2 ) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_73,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(X0),index(down,host(X1)))
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X0)) != norm ) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_74,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( leq(index(pendack,host(X1)),host(X2))
| ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X2)))
| ( host(X0) != host(X1) )
| ( index(status,host(X1)) != elec_2 ) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_75,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X2)))
| ( host(X0) != host(X1) )
| ( index(ldr,host(X1)) != host(X1) )
| ( index(status,host(X1)) != norm ) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_76,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ( index(ldr,host(X1)) != host(X1) )
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X1)) != norm )
| ( index(status,host(X0)) != norm ) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_77,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X1),host(X2))
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X2)))
| ( host(X0) != host(X1) )
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X0)) != norm ) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_78,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( host(X1) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X3),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(X2)))
| ( host(X2) != host(X3) )
| ( host(X0) != host(X1) ) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_79,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( host(X1) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ setIn(host(X3),index(down,host(X1)))
| ( host(X2) != host(X3) )
| ( host(X0) != host(X1) ) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_80,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(host(X1)))
| ( host(X0) != host(X2) )
| ( index(ldr,host(X1)) != host(X0) )
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X1)) != norm )
| ( index(status,host(X0)) != norm ) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_81,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(host(X0)))
| ( host(X1) != host(X2) )
| ( index(ldr,host(X1)) != host(X1) )
| ( index(status,host(X1)) != norm )
| ( index(status,host(X0)) != wait )
| ( host(index(elid,host(X0))) != host(X1) ) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_82,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ setIn(X2,alive)
| ~ leq(host(X2),host(X1))
| ~ elem(m_Down(X3),queue(host(X1)))
| ~ elem(m_Ack(X2,X0),queue(host(X2)))
| ~ setIn(sK9(X3,X1),index(down,host(X1)))
| ( host(X0) != host(X1) )
| ( index(status,host(X2)) != elec_2 )
| ( index(status,host(X1)) != elec_1 ) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_83,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ setIn(X3,alive)
| ~ leq(host(X3),host(X1))
| ~ elem(m_Down(X2),queue(host(X1)))
| ~ elem(m_Ack(X3,X0),queue(host(X3)))
| ( host(X0) != host(X1) )
| ( sK9(X2,X1) != host(X2) )
| ( index(status,host(X3)) != elec_2 )
| ( index(status,host(X1)) != elec_1 ) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_84,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ setIn(X2,alive)
| ~ leq(host(X2),host(X1))
| ~ elem(m_Down(X3),queue(host(X1)))
| ~ leq(host(X1),sK9(X3,X1))
| ~ elem(m_Ack(X2,X0),queue(host(X2)))
| ( host(X0) != host(X1) )
| ( index(status,host(X2)) != elec_2 )
| ( index(status,host(X1)) != elec_1 ) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_85,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(s(zero),sK9(X3,X1))
| ~ setIn(X2,alive)
| ~ leq(host(X2),host(X1))
| ~ elem(m_Down(X3),queue(host(X1)))
| ~ elem(m_Ack(X2,X0),queue(host(X2)))
| ( host(X0) != host(X1) )
| ( index(status,host(X2)) != elec_2 )
| ( index(status,host(X1)) != elec_1 ) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_86,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ leq(nbr_proc,s(host(X0)))
| ~ elem(m_Down(X3),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(sK10(X3,X0),index(down,host(X0)))
| ( s(host(X0)) != host(X1) )
| ( index(ldr,host(X2)) != host(X2) )
| ( index(status,host(X2)) != norm )
| ( index(status,host(X0)) != elec_1 ) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_87,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ leq(nbr_proc,s(host(X0)))
| ~ elem(m_Down(X3),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( s(host(X0)) != host(X1) )
| ( sK10(X3,X0) != host(X3) )
| ( index(ldr,host(X2)) != host(X2) )
| ( index(status,host(X2)) != norm )
| ( index(status,host(X0)) != elec_1 ) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_88,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ leq(nbr_proc,s(host(X0)))
| ~ elem(m_Down(X3),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ leq(host(X0),sK10(X3,X0))
| ( s(host(X0)) != host(X1) )
| ( index(ldr,host(X2)) != host(X2) )
| ( index(status,host(X2)) != norm )
| ( index(status,host(X0)) != elec_1 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_89,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(s(zero),sK10(X3,X0))
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ leq(nbr_proc,s(host(X0)))
| ~ elem(m_Down(X3),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( s(host(X0)) != host(X1) )
| ( index(ldr,host(X2)) != host(X2) )
| ( index(status,host(X2)) != norm )
| ( index(status,host(X0)) != elec_1 ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_90,negated_conjecture,
cons(m_Ack(sK1,sK3),sK0) = queue(host(sK2)),
inference(cnf_transformation,[],[f98]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( m_Ack(X0,X1) != m_Ack(X2,X3) ) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( m_Ack(X0,X1) != m_Ack(X2,X3) ) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f143]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f144]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f145]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| ~ elem(m_Down(X1),X2)
| ~ ordered(cons(m_Halt(X0),X2))
| ( host(X0) != host(X1) ) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] : elem(X0,snoc(X1,X0)),
inference(cnf_transformation,[],[f207]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i] :
( elem(X0,snoc(X1,X2))
| ~ elem(X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] :
( elem(X0,X1)
| ( X0 = X2 )
| ~ elem(X0,snoc(X1,X2)) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] : elem(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f208]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( elem(X0,cons(X2,X1))
| ~ elem(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( elem(X0,X2)
| ( X0 = X1 )
| ~ elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_104,plain,
! [X0: $i] : ~ elem(X0,q_nil),
inference(cnf_transformation,[],[f153]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( ( host(X0) != host(X1) )
| ( s(host(X0)) != host(X1) ) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_111,plain,
! [X0: $i] : leq(X0,X0),
inference(cnf_transformation,[],[f161]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( s(X1) = X0 )
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_117,plain,
! [X0: $i] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f167]) ).
tcf(c_118,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f168]) ).
tcf(c_119,plain,
! [X0: $i] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f169]) ).
tcf(c_120,plain,
! [X0: $i] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f170]) ).
tcf(c_121,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f171]) ).
tcf(c_122,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f172]) ).
tcf(c_123,plain,
elec_1 != elec_2,
inference(cnf_transformation,[],[f173]) ).
tcf(c_124,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f174]) ).
tcf(c_125,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f175]) ).
tcf(c_126,plain,
norm != wait,
inference(cnf_transformation,[],[f176]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( m_Down(X0) != m_Down(X1) ) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f179]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] : m_Down(X0) != m_Halt(X1),
inference(cnf_transformation,[],[f180]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( m_Ldr(X0) != m_Ldr(X1) ) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] : m_Ldr(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f184]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] : m_Ldr(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f185]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i] : m_Ldr(X0) != m_Halt(X1),
inference(cnf_transformation,[],[f186]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i] : cons(X0,snoc(X1,X2)) = snoc(cons(X0,X1),X2),
inference(cnf_transformation,[],[f187]) ).
tcf(c_136,plain,
! [X0: $i] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(cnf_transformation,[],[f188]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] : cons(X0,X1) != q_nil,
inference(cnf_transformation,[],[f189]) ).
tcf(c_138,plain,
! [X0: $i] : ordered(cons(X0,q_nil)),
inference(cnf_transformation,[],[f191]) ).
tcf(c_140,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f192]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i] : snoc(X0,X1) != q_nil,
inference(cnf_transformation,[],[f193]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( m_Halt(X0) != m_Halt(X1) ) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] : m_Halt(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f196]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] : m_Halt(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f197]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( m_NotNorm(X0) != m_NotNorm(X1) ) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] : m_NotNorm(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f200]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i] : m_Down(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f201]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(cnf_transformation,[],[f202]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( m_NormQ(X0) != m_NormQ(X1) ) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] : m_Down(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f205]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i] : m_Ack(X0,X1) != m_NormQ(X2),
inference(cnf_transformation,[],[f206]) ).
tcf(c_954,plain,
leq(nbr_proc,host(sK6)),
inference(demodulation,[status(thm)],[c_53,c_56]) ).
tcf(c_964,plain,
leq(nbr_proc,host(sK3)),
inference(demodulation,[status(thm)],[c_62,c_65]) ).
tcf(c_2566,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( index(status,host(X0)) != norm )
| ( index(ldr,host(X0)) != host(X0) )
| ~ setIn(X0,alive) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_89]) ).
tcf(c_2567,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_11
| ( s(host(X1)) != host(X0) )
| ( index(status,host(X1)) != elec_1 )
| ~ setIn(X1,alive)
| ~ leq(nbr_proc,s(host(X1)))
| leq(s(zero),sK10(X2,X1))
| ~ elem(m_Down(X2),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(X1))) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_89]) ).
tcf(c_2568,negated_conjecture,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
tcf(c_2569,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_12
| ( s(host(X1)) != host(X0) )
| ( index(status,host(X1)) != elec_1 )
| ~ setIn(X1,alive)
| ~ leq(nbr_proc,s(host(X1)))
| ~ leq(host(X1),sK10(X2,X1))
| ~ elem(m_Down(X2),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(X1))) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_88]) ).
tcf(c_2570,negated_conjecture,
( iPr_def_12
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_88]) ).
tcf(c_2571,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_13
| ( s(host(X1)) != host(X0) )
| ( index(status,host(X1)) != elec_1 )
| ( sK10(X2,X1) != host(X2) )
| ~ setIn(X1,alive)
| ~ leq(nbr_proc,s(host(X1)))
| ~ elem(m_Down(X2),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(X1))) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_87]) ).
tcf(c_2572,negated_conjecture,
( iPr_def_13
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_87]) ).
tcf(c_2573,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_14
| ( s(host(X1)) != host(X0) )
| ( index(status,host(X1)) != elec_1 )
| ~ setIn(sK10(X2,X1),index(down,host(X1)))
| ~ setIn(X1,alive)
| ~ leq(nbr_proc,s(host(X1)))
| ~ elem(m_Down(X2),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(X1))) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_86]) ).
tcf(c_2574,negated_conjecture,
( iPr_def_14
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_86]) ).
tcf(c_4391,plain,
~ leq(host(sK6),host(sK8)),
inference(superposition,[status(thm)],[c_56,c_117]) ).
tcf(c_4456,plain,
( ( index(elid,host(sK2)) = sK2 )
| ~ setIn(sK2,alive) ),
inference(superposition,[status(thm)],[c_64,c_71]) ).
tcf(c_4458,plain,
( ( sK2 = sK1 )
| ~ setIn(sK2,alive) ),
inference(light_normalisation,[status(thm)],[c_4456,c_63]) ).
tcf(c_4459,plain,
sK2 = sK1,
inference(forward_subsumption_resolution,[status(thm)],[c_4458,c_66]) ).
tcf(c_4463,plain,
cons(m_Ack(sK2,sK3),sK0) = queue(host(sK2)),
inference(demodulation,[status(thm)],[c_90,c_4459]) ).
tcf(c_4477,plain,
! [X0: $i] : leq(X0,s(X0)),
inference(superposition,[status(thm)],[c_110,c_117]) ).
tcf(c_4505,plain,
! [X0: $i] :
( leq(index(pendack,host(sK2)),host(X0))
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK2),index(down,host(X0))) ),
inference(superposition,[status(thm)],[c_64,c_72]) ).
tcf(c_4506,plain,
! [X0: $i] :
( leq(host(sK3),host(X0))
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK2),index(down,host(X0))) ),
inference(light_normalisation,[status(thm)],[c_4505,c_65]) ).
tcf(c_4507,plain,
! [X0: $i] :
( leq(host(sK3),host(X0))
| ~ setIn(X0,alive)
| ~ setIn(host(sK2),index(down,host(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4506,c_66]) ).
tcf(c_4535,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK2)),host(X1))
| ~ setIn(sK2,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_64,c_74]) ).
tcf(c_4536,plain,
! [X0: $i,X1: $i] :
( leq(host(sK3),host(X1))
| ~ setIn(sK2,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(light_normalisation,[status(thm)],[c_4535,c_65]) ).
tcf(c_4537,plain,
! [X0: $i,X1: $i] :
( leq(host(sK3),host(X1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4536,c_66]) ).
tcf(c_4644,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK10(X1,sK8))
| ~ iPr_def_11
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,s(host(sK8)))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ( s(host(sK8)) != host(X0) ) ),
inference(superposition,[status(thm)],[c_57,c_2567]) ).
tcf(c_4646,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK10(X1,sK8))
| ~ iPr_def_11
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,host(sK6))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ( host(X0) != host(sK6) ) ),
inference(light_normalisation,[status(thm)],[c_4644,c_56]) ).
tcf(c_4647,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK10(X1,sK8))
| ~ iPr_def_11
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ( host(X0) != host(sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4646,c_52,c_954]) ).
tcf(c_4670,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,s(host(sK8)))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK10(X1,sK8))
| ( s(host(sK8)) != host(X0) ) ),
inference(superposition,[status(thm)],[c_57,c_2569]) ).
tcf(c_4672,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,host(sK6))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK10(X1,sK8))
| ( host(X0) != host(sK6) ) ),
inference(light_normalisation,[status(thm)],[c_4670,c_56]) ).
tcf(c_4673,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK10(X1,sK8))
| ( host(X0) != host(sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4672,c_52,c_954]) ).
tcf(c_4722,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,s(host(sK8)))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X1,sK8),index(down,host(sK8)))
| ( s(host(sK8)) != host(X0) ) ),
inference(superposition,[status(thm)],[c_57,c_2573]) ).
tcf(c_4724,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,host(sK6))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X1,sK8),index(down,host(sK8)))
| ( host(X0) != host(sK6) ) ),
inference(light_normalisation,[status(thm)],[c_4722,c_56]) ).
tcf(c_4725,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X1,sK8),index(down,host(sK8)))
| ( host(X0) != host(sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4724,c_52,c_954]) ).
tcf(c_4748,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK9(X2,sK8))
| ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK8))
| ~ elem(m_Down(X2),queue(host(sK8)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != host(sK8) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_57,c_85]) ).
tcf(c_4774,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK8))
| ~ elem(m_Down(X2),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X2,sK8))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != host(sK8) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_57,c_84]) ).
tcf(c_4827,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK8))
| ~ elem(m_Down(X2),queue(host(sK8)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(sK9(X2,sK8),index(down,host(sK8)))
| ( host(X1) != host(sK8) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_57,c_82]) ).
tcf(c_4907,plain,
( leq(host(sK3),host(sK8))
| leq(host(sK8),host(sK2))
| ( host(sK2) = host(sK7) )
| ~ setIn(sK8,alive)
| ~ leq(s(zero),host(sK2)) ),
inference(superposition,[status(thm)],[c_51,c_4507]) ).
tcf(c_4908,plain,
( leq(host(sK3),host(sK8))
| leq(host(sK8),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4907,c_52,c_119]) ).
tcf(c_4929,plain,
! [X0: $i] :
( leq(X0,host(sK6))
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_56,c_113]) ).
tcf(c_4930,plain,
! [X0: $i] : ~ leq(s(s(X0)),X0),
inference(superposition,[status(thm)],[c_113,c_117]) ).
tcf(c_4939,plain,
! [X0: $i] : leq(X0,s(s(X0))),
inference(superposition,[status(thm)],[c_110,c_4930]) ).
tcf(c_4941,plain,
! [X0: $i] : ~ leq(s(s(s(X0))),X0),
inference(superposition,[status(thm)],[c_113,c_4930]) ).
tcf(c_4942,plain,
~ leq(s(host(sK6)),host(sK8)),
inference(superposition,[status(thm)],[c_56,c_4930]) ).
tcf(c_4945,plain,
leq(host(sK8),s(host(sK6))),
inference(superposition,[status(thm)],[c_56,c_4939]) ).
tcf(c_4948,plain,
! [X0: $i] : ~ leq(s(s(s(s(X0)))),X0),
inference(superposition,[status(thm)],[c_113,c_4941]) ).
tcf(c_4987,plain,
! [X0: $i] :
( leq(s(zero),sK10(X0,sK8))
| ~ iPr_def_11
| ~ elem(m_Down(sK6),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8))) ),
inference(equality_resolution,[status(thm)],[c_4647]) ).
tcf(c_4988,plain,
! [X0: $i] :
( leq(s(zero),sK10(X0,sK8))
| ~ iPr_def_11
| ~ elem(m_Down(X0),queue(host(sK8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4987,c_54]) ).
tcf(c_5002,plain,
( leq(s(zero),sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_54,c_4988]) ).
tcf(c_5003,plain,
( leq(s(zero),sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_55,c_4988]) ).
tcf(c_5052,plain,
! [X0: $i] : leq(X0,s(s(s(s(X0))))),
inference(superposition,[status(thm)],[c_110,c_4948]) ).
tcf(c_5071,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ elem(m_Down(sK6),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK10(X0,sK8)) ),
inference(equality_resolution,[status(thm)],[c_4673]) ).
tcf(c_5072,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK10(X0,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5071,c_54]) ).
tcf(c_5086,plain,
( ~ iPr_def_12
| ~ leq(host(sK8),sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_54,c_5072]) ).
tcf(c_5087,plain,
( ~ iPr_def_12
| ~ leq(host(sK8),sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_55,c_5072]) ).
tcf(c_5128,plain,
! [X0: $i] :
( ~ iPr_def_14
| ~ elem(m_Down(sK6),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X0,sK8),index(down,host(sK8))) ),
inference(equality_resolution,[status(thm)],[c_4725]) ).
tcf(c_5129,plain,
! [X0: $i] :
( ~ iPr_def_14
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X0,sK8),index(down,host(sK8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5128,c_54]) ).
tcf(c_5173,plain,
! [X0: $i] :
( elem(X0,queue(host(sK2)))
| ~ elem(X0,sK0) ),
inference(superposition,[status(thm)],[c_4463,c_102]) ).
tcf(c_5184,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_115]) ).
tcf(c_5190,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ~ leq(s(X0),host(sK6)) ),
inference(superposition,[status(thm)],[c_56,c_115]) ).
tcf(c_5206,plain,
! [X0: $i] :
( leq(s(X0),host(sK6))
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_56,c_116]) ).
tcf(c_5328,plain,
! [X0: $i] :
( leq(host(sK8),sK10(X0,sK8))
| ( sK10(X0,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(s(zero),sK10(X0,sK8)) ),
inference(superposition,[status(thm)],[c_51,c_5129]) ).
tcf(c_5345,plain,
( leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(s(zero),sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_54,c_5328]) ).
tcf(c_5346,plain,
( leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(s(zero),sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_55,c_5328]) ).
tcf(c_5370,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK9(X1,sK8))
| ~ setIn(sK2,alive)
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK2,X0),queue(host(sK2)))
| ( host(X0) != host(sK8) ) ),
inference(superposition,[status(thm)],[c_64,c_4748]) ).
tcf(c_5371,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK9(X1,sK8))
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK2,X0),queue(host(sK2)))
| ( host(X0) != host(sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5370,c_66]) ).
tcf(c_5387,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_106]) ).
tcf(c_5388,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| ~ leq(X2,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_106]) ).
tcf(c_5390,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(X2),X1)
| ~ leq(X2,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_116,c_106]) ).
tcf(c_5392,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_119,c_106]) ).
tcf(c_5527,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_5184]) ).
tcf(c_5530,plain,
leq(zero,nbr_proc),
inference(superposition,[status(thm)],[c_118,c_5184]) ).
tcf(c_5538,plain,
! [X0: $i] : leq(X0,s(s(s(s(s(X0)))))),
inference(superposition,[status(thm)],[c_5052,c_5184]) ).
tcf(c_5560,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_5530,c_106]) ).
tcf(c_5574,plain,
( leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_5002,c_5345]) ).
tcf(c_5593,plain,
( leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_5003,c_5346]) ).
tcf(c_5615,plain,
! [X0: $i] :
( leq(s(zero),sK9(X0,sK8))
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK2,sK8),queue(host(sK2))) ),
inference(equality_resolution,[status(thm)],[c_5371]) ).
tcf(c_5636,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK2,alive)
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X1,sK8))
| ~ elem(m_Ack(sK2,X0),queue(host(sK2)))
| ( host(X0) != host(sK8) ) ),
inference(superposition,[status(thm)],[c_64,c_4774]) ).
tcf(c_5637,plain,
! [X0: $i,X1: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X1,sK8))
| ~ elem(m_Ack(sK2,X0),queue(host(sK2)))
| ( host(X0) != host(sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5636,c_66]) ).
tcf(c_5654,plain,
! [X0: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X0,sK8))
| ~ elem(m_Ack(sK2,sK8),queue(host(sK2))) ),
inference(equality_resolution,[status(thm)],[c_5637]) ).
tcf(c_5711,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK2,alive)
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK2,X0),queue(host(sK2)))
| ~ setIn(sK9(X1,sK8),index(down,host(sK8)))
| ( host(X0) != host(sK8) ) ),
inference(superposition,[status(thm)],[c_64,c_4827]) ).
tcf(c_5712,plain,
! [X0: $i,X1: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK2,X0),queue(host(sK2)))
| ~ setIn(sK9(X1,sK8),index(down,host(sK8)))
| ( host(X0) != host(sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5711,c_66]) ).
tcf(c_5764,plain,
! [X0: $i] :
( ( host(X0) = nbr_proc )
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_120,c_109]) ).
tcf(c_5765,plain,
( ( host(sK6) = nbr_proc )
| ~ leq(host(sK6),nbr_proc) ),
inference(superposition,[status(thm)],[c_954,c_109]) ).
tcf(c_5766,plain,
( ( host(sK3) = nbr_proc )
| ~ leq(host(sK3),nbr_proc) ),
inference(superposition,[status(thm)],[c_964,c_109]) ).
tcf(c_5788,plain,
host(sK3) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_5766,c_120]) ).
tcf(c_5789,plain,
host(sK6) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_5765,c_120]) ).
tcf(c_5833,plain,
( leq(nbr_proc,host(sK8))
| leq(host(sK8),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(demodulation,[status(thm)],[c_4908,c_5788]) ).
tcf(c_5834,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(demodulation,[status(thm)],[c_4537,c_5788]) ).
tcf(c_5837,plain,
index(pendack,host(sK2)) = nbr_proc,
inference(demodulation,[status(thm)],[c_65,c_5788]) ).
tcf(c_5851,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,host(sK8)) ),
inference(demodulation,[status(thm)],[c_5206,c_5789]) ).
tcf(c_5853,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ~ leq(s(X0),nbr_proc) ),
inference(demodulation,[status(thm)],[c_5190,c_5789]) ).
tcf(c_5862,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(sK8)) ),
inference(demodulation,[status(thm)],[c_4929,c_5789]) ).
tcf(c_5864,plain,
~ leq(s(nbr_proc),host(sK8)),
inference(demodulation,[status(thm)],[c_4942,c_5789]) ).
tcf(c_5865,plain,
leq(host(sK8),s(nbr_proc)),
inference(demodulation,[status(thm)],[c_4945,c_5789]) ).
tcf(c_5866,plain,
~ leq(nbr_proc,host(sK8)),
inference(demodulation,[status(thm)],[c_4391,c_5789]) ).
tcf(c_5868,plain,
s(host(sK8)) = nbr_proc,
inference(demodulation,[status(thm)],[c_56,c_5789]) ).
tcf(c_5870,plain,
( leq(host(sK8),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5833,c_5866]) ).
tcf(c_5969,plain,
! [X0: $i] :
( ~ elem(m_Down(sK3),queue(host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_5788,c_68]) ).
tcf(c_5988,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(host(X1),index(down,host(X2)))
| ( host(X2) != nbr_proc )
| ( host(X0) != host(X1) ) ),
inference(superposition,[status(thm)],[c_5788,c_79]) ).
tcf(c_5989,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X2)))
| ( host(X2) != nbr_proc )
| ( host(X0) != host(X1) ) ),
inference(superposition,[status(thm)],[c_5788,c_78]) ).
tcf(c_6296,plain,
! [X0: $i] :
( ~ elem(m_Down(sK6),queue(host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_5789,c_68]) ).
tcf(c_6315,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(host(X1),index(down,host(X2)))
| ( host(X2) != nbr_proc )
| ( host(X0) != host(X1) ) ),
inference(superposition,[status(thm)],[c_5789,c_79]) ).
tcf(c_6316,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X2)))
| ( host(X2) != nbr_proc )
| ( host(X0) != host(X1) ) ),
inference(superposition,[status(thm)],[c_5789,c_78]) ).
tcf(c_6673,plain,
! [X0: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK2,sK8),queue(host(sK2)))
| ~ setIn(sK9(X0,sK8),index(down,host(sK8))) ),
inference(equality_resolution,[status(thm)],[c_5712]) ).
tcf(c_6995,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( s(host(sK8)) = X0 )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_5868,c_114]) ).
tcf(c_7002,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_6995,c_5868]) ).
tcf(c_7079,plain,
leq(zero,s(nbr_proc)),
inference(superposition,[status(thm)],[c_4477,c_5560]) ).
tcf(c_7080,plain,
leq(zero,s(s(nbr_proc))),
inference(superposition,[status(thm)],[c_4939,c_5560]) ).
tcf(c_8305,plain,
! [X0: $i] : leq(X0,s(s(s(s(s(s(X0))))))),
inference(superposition,[status(thm)],[c_5538,c_5184]) ).
tcf(c_9333,plain,
leq(s(zero),s(nbr_proc)),
inference(superposition,[status(thm)],[c_5865,c_5392]) ).
tcf(c_9415,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_9333,c_106]) ).
tcf(c_9959,plain,
! [X0: $i] :
( leq(X0,s(host(sK8)))
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_7002,c_5527]) ).
tcf(c_9995,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_9959,c_5868]) ).
tcf(c_10204,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ~ leq(s(X0),nbr_proc) ),
inference(global_subsumption_just,[status(thm)],[c_9995,c_5862,c_5853]) ).
tcf(c_10230,plain,
( ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_5574,c_5086]) ).
tcf(c_10274,plain,
( iPr_def_10
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_2574,c_10230]) ).
tcf(c_10279,plain,
( iPr_def_10
| ( sK10(sK6,sK8) = host(sK7) ) ),
inference(global_subsumption_just,[status(thm)],[c_10274,c_2568,c_2570,c_2574,c_10230]) ).
tcf(c_10601,plain,
( ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_5593,c_5087]) ).
tcf(c_10675,plain,
( iPr_def_10
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_2574,c_10601]) ).
tcf(c_10689,plain,
( iPr_def_10
| ( sK10(sK7,sK8) = host(sK7) ) ),
inference(global_subsumption_just,[status(thm)],[c_10675,c_2568,c_2570,c_10675]) ).
tcf(c_12285,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ( host(sK2) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_5789,c_5834]) ).
tcf(c_12286,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ( host(sK2) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_5788,c_5834]) ).
tcf(c_12413,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X1))
| leq(s(X0),X2)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_5387]) ).
tcf(c_12416,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_120,c_5387]) ).
tcf(c_13071,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_12416,c_5387]) ).
tcf(c_13910,plain,
! [X0: $i] :
( leq(host(sK8),sK9(X0,sK8))
| ( sK9(X0,sK8) = host(sK7) )
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(s(zero),sK9(X0,sK8))
| ~ elem(m_Ack(sK2,sK8),queue(host(sK2))) ),
inference(superposition,[status(thm)],[c_51,c_6673]) ).
tcf(c_13918,plain,
! [X0: $i] :
( ~ elem(m_Ack(sK2,sK8),queue(host(sK2)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK2),host(sK8))
| ( sK9(X0,sK8) = host(sK7) ) ),
inference(global_subsumption_just,[status(thm)],[c_13910,c_5615,c_5654,c_13910]) ).
tcf(c_13919,plain,
! [X0: $i] :
( ( sK9(X0,sK8) = host(sK7) )
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK2,sK8),queue(host(sK2))) ),
inference(renaming,[status(thm)],[c_13918]) ).
tcf(c_14944,plain,
leq(s(zero),s(s(s(s(s(s(s(nbr_proc)))))))),
inference(superposition,[status(thm)],[c_8305,c_9415]) ).
tcf(c_18913,plain,
( ( host(sK2) = host(sK7) )
| ( host(sK2) = host(sK8) )
| ~ leq(host(sK2),host(sK8)) ),
inference(superposition,[status(thm)],[c_5870,c_109]) ).
tcf(c_18931,plain,
( ( host(sK2) = host(sK7) )
| ~ leq(host(sK2),host(sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18913,c_58]) ).
tcf(c_19492,plain,
( ( host(sK2) = nbr_proc )
| ( host(sK2) = host(sK7) )
| ~ leq(host(sK2),nbr_proc) ),
inference(superposition,[status(thm)],[c_7002,c_18931]) ).
tcf(c_19502,plain,
( ( host(sK2) = nbr_proc )
| ( host(sK2) = host(sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19492,c_120]) ).
tcf(c_21200,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(host(sK7),index(down,host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_19502,c_6315]) ).
tcf(c_21201,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(host(sK7),index(down,host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_19502,c_5988]) ).
tcf(c_21202,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_19502,c_6316]) ).
tcf(c_21203,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_19502,c_5989]) ).
tcf(c_21217,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK7)),host(X1))
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK7) )
| ( index(status,host(sK2)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_19502,c_74]) ).
tcf(c_21219,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_19502,c_68]) ).
tcf(c_21245,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_19502,c_5834]) ).
tcf(c_21296,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(X1),index(down,host(X2)))
| ( host(X2) != host(sK2) )
| ( host(X0) != host(X1) ) ),
inference(superposition,[status(thm)],[c_19502,c_79]) ).
tcf(c_21297,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X2)))
| ( host(X2) != host(sK2) )
| ( host(X0) != host(X1) ) ),
inference(superposition,[status(thm)],[c_19502,c_78]) ).
tcf(c_21496,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK7)),host(X1))
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK7) ) ),
inference(ground_joinability,[status(thm)],[c_21217,c_64]) ).
tcf(c_23401,plain,
! [X0: $i] :
( leq(index(pendack,host(sK7)),host(X0))
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(equality_resolution,[status(thm)],[c_21496]) ).
tcf(c_24898,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_5789,c_21297]) ).
tcf(c_24899,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_5788,c_21297]) ).
tcf(c_26350,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X0) != host(sK2) ) ),
inference(equality_resolution,[status(thm)],[c_21296]) ).
tcf(c_30883,plain,
( leq(s(index(pendack,host(sK7))),nbr_proc)
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(sK8,alive)
| ~ elem(m_Down(sK7),queue(host(sK8))) ),
inference(superposition,[status(thm)],[c_23401,c_5851]) ).
tcf(c_30902,plain,
( leq(s(index(pendack,host(sK7))),nbr_proc)
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30883,c_52,c_55]) ).
tcf(c_31014,plain,
( leq(s(index(pendack,host(sK2))),nbr_proc)
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive) ),
inference(superposition,[status(thm)],[c_19502,c_30902]) ).
tcf(c_31031,plain,
( leq(s(nbr_proc),nbr_proc)
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive) ),
inference(light_normalisation,[status(thm)],[c_31014,c_5837]) ).
tcf(c_31032,plain,
( ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31031,c_117]) ).
tcf(c_34955,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X1))
| ~ leq(X2,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_5388]) ).
tcf(c_34956,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_118,c_5388]) ).
tcf(c_34957,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_119,c_5388]) ).
tcf(c_35963,plain,
~ leq(s(nbr_proc),zero),
inference(superposition,[status(thm)],[c_34957,c_5864]) ).
tcf(c_38675,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK2) )
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK2))) ),
inference(equality_resolution,[status(thm)],[c_26350]) ).
tcf(c_38676,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38675,c_66]) ).
tcf(c_38731,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(host(X0),index(down,host(sK2)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(global_subsumption_just,[status(thm)],[c_38676,c_21219,c_38676]) ).
tcf(c_38732,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK2))) ),
inference(renaming,[status(thm)],[c_38731]) ).
tcf(c_38755,plain,
! [X0: $i,X1: $i] :
( ( host(X0) != host(sK2) )
| ( host(X1) != nbr_proc )
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| ( host(X0) = host(X1) ) ),
inference(global_subsumption_just,[status(thm)],[c_21202,c_5764,c_6296,c_12285,c_21202]) ).
tcf(c_38756,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(renaming,[status(thm)],[c_38755]) ).
tcf(c_39490,plain,
! [X0: $i,X1: $i] :
( ( host(X0) != host(sK2) )
| ( host(X1) != nbr_proc )
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| ( host(X0) = host(X1) ) ),
inference(global_subsumption_just,[status(thm)],[c_21203,c_5764,c_5969,c_12286,c_21203]) ).
tcf(c_39491,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(renaming,[status(thm)],[c_39490]) ).
tcf(c_39567,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X1) != host(sK2) ) ),
inference(global_subsumption_just,[status(thm)],[c_24898,c_5764,c_21245,c_24898]) ).
tcf(c_39568,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X1) = host(X0) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(renaming,[status(thm)],[c_39567]) ).
tcf(c_39570,plain,
! [X0: $i,X1: $i] :
( ( host(X0) != host(sK2) )
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| ( host(X1) = host(X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_39568,c_5764,c_6296,c_12285,c_39568]) ).
tcf(c_39571,plain,
! [X0: $i,X1: $i] :
( ( host(X1) = host(X0) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(renaming,[status(thm)],[c_39570]) ).
tcf(c_39588,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK2)))
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(equality_resolution,[status(thm)],[c_39571]) ).
tcf(c_39589,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK2)))
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39588,c_66]) ).
tcf(c_39625,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),sK0)
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_5173,c_39589]) ).
tcf(c_39639,plain,
( ( host(sK2) = host(sK8) )
| ~ setIn(sK8,alive)
| ~ elem(m_Down(sK6),sK0) ),
inference(superposition,[status(thm)],[c_55,c_39625]) ).
tcf(c_39644,plain,
~ elem(m_Down(sK6),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_39639,c_58,c_52]) ).
tcf(c_40086,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X1) != host(sK2) ) ),
inference(global_subsumption_just,[status(thm)],[c_24899,c_5764,c_21245,c_24899]) ).
tcf(c_40087,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X1) = host(X0) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(renaming,[status(thm)],[c_40086]) ).
tcf(c_40089,plain,
! [X0: $i,X1: $i] :
( ( host(X0) != host(sK2) )
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| ( host(X1) = host(X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_40087,c_5764,c_5969,c_12286,c_40087]) ).
tcf(c_40090,plain,
! [X0: $i,X1: $i] :
( ( host(X1) = host(X0) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(renaming,[status(thm)],[c_40089]) ).
tcf(c_40107,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK2)))
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(equality_resolution,[status(thm)],[c_40090]) ).
tcf(c_40108,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK2)))
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40107,c_66]) ).
tcf(c_40130,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),sK0)
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_5173,c_40108]) ).
tcf(c_40144,plain,
( ( host(sK2) = host(sK8) )
| ~ setIn(sK8,alive)
| ~ elem(m_Down(sK3),sK0) ),
inference(superposition,[status(thm)],[c_55,c_40130]) ).
tcf(c_40149,plain,
~ elem(m_Down(sK3),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_40144,c_58,c_52]) ).
tcf(c_54023,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,X1) ),
inference(superposition,[status(thm)],[c_5789,c_13071]) ).
tcf(c_63842,plain,
~ leq(host(sK6),host(sK8)),
inference(superposition,[status(thm)],[c_56,c_117]) ).
tcf(c_64094,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,s(host(sK8)))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X1,sK8),index(down,host(sK8)))
| ( s(host(sK8)) != host(X0) ) ),
inference(superposition,[status(thm)],[c_57,c_2573]) ).
tcf(c_64096,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,host(sK6))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X1,sK8),index(down,host(sK8)))
| ( host(X0) != host(sK6) ) ),
inference(light_normalisation,[status(thm)],[c_64094,c_56]) ).
tcf(c_64097,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X1,sK8),index(down,host(sK8)))
| ( host(X0) != host(sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64096,c_52,c_954]) ).
tcf(c_64289,plain,
! [X0: $i] : ~ leq(s(s(X0)),X0),
inference(superposition,[status(thm)],[c_113,c_117]) ).
tcf(c_64453,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ~ leq(s(X0),host(sK6)) ),
inference(superposition,[status(thm)],[c_56,c_115]) ).
tcf(c_64467,plain,
! [X0: $i] :
( leq(s(X0),host(sK6))
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_56,c_116]) ).
tcf(c_64597,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| ~ leq(X2,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_106]) ).
tcf(c_64600,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_119,c_106]) ).
tcf(c_64609,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),X0)
| ~ leq(X1,host(sK8))
| ~ leq(host(sK6),X0) ),
inference(superposition,[status(thm)],[c_64467,c_106]) ).
tcf(c_64658,plain,
( ( host(sK6) = nbr_proc )
| ~ leq(host(sK6),nbr_proc) ),
inference(superposition,[status(thm)],[c_954,c_109]) ).
tcf(c_64667,plain,
host(sK6) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_64658,c_120]) ).
tcf(c_64716,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ~ leq(s(X0),nbr_proc) ),
inference(demodulation,[status(thm)],[c_64453,c_64667]) ).
tcf(c_64720,plain,
~ leq(nbr_proc,host(sK8)),
inference(demodulation,[status(thm)],[c_63842,c_64667]) ).
tcf(c_64787,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X1,sK8),index(down,host(sK8)))
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_64097,c_64667]) ).
tcf(c_64931,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_64597]) ).
tcf(c_64976,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_119,c_64931]) ).
tcf(c_65019,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_64976,c_115]) ).
tcf(c_65207,plain,
leq(s(zero),s(nbr_proc)),
inference(superposition,[status(thm)],[c_65019,c_64720]) ).
tcf(c_65212,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_65019,c_115]) ).
tcf(c_65246,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_65207,c_64931]) ).
tcf(c_65818,plain,
! [X0: $i] :
( ~ iPr_def_14
| ~ elem(m_Down(sK6),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X0,sK8),index(down,host(sK8))) ),
inference(superposition,[status(thm)],[c_64667,c_64787]) ).
tcf(c_65874,plain,
! [X0: $i] :
( ~ iPr_def_14
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X0,sK8),index(down,host(sK8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65818,c_54]) ).
tcf(c_66083,plain,
! [X0: $i] : ~ leq(s(s(s(X0))),X0),
inference(superposition,[status(thm)],[c_113,c_64289]) ).
tcf(c_66088,plain,
leq(s(zero),s(s(s(s(nbr_proc))))),
inference(superposition,[status(thm)],[c_65246,c_64289]) ).
tcf(c_66190,plain,
! [X0: $i] :
( leq(host(sK8),sK10(X0,sK8))
| ( sK10(X0,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(s(zero),sK10(X0,sK8)) ),
inference(superposition,[status(thm)],[c_51,c_65874]) ).
tcf(c_66206,plain,
( leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(s(zero),sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_54,c_66190]) ).
tcf(c_66207,plain,
( leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(s(zero),sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_55,c_66190]) ).
tcf(c_66876,plain,
! [X0: $i] : leq(zero,s(s(s(host(X0))))),
inference(superposition,[status(thm)],[c_65212,c_66083]) ).
tcf(c_68778,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),X1)
| ~ leq(nbr_proc,X1)
| ~ leq(X0,host(sK8)) ),
inference(light_normalisation,[status(thm)],[c_64609,c_64667]) ).
tcf(c_69434,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_110,c_64600]) ).
tcf(c_69503,plain,
! [X0: $i] :
( leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),host(X0))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_69434,c_66206]) ).
tcf(c_69504,plain,
! [X0: $i] :
( leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),host(X0))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_69434,c_66207]) ).
tcf(c_71289,plain,
! [X0: $i] :
( leq(host(sK8),sK10(sK6,sK8))
| leq(s(sK10(sK6,sK8)),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_69503,c_68778]) ).
tcf(c_71342,plain,
! [X0: $i] :
( leq(host(sK8),sK10(sK7,sK8))
| leq(s(sK10(sK7,sK8)),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_69504,c_68778]) ).
tcf(c_71741,plain,
( leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),host(sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_71289,c_64716]) ).
tcf(c_71745,plain,
( leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),host(sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(forward_subsumption_resolution,[status(thm)],[c_71741,c_111]) ).
tcf(c_71827,plain,
( leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),host(sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_71342,c_64716]) ).
tcf(c_71831,plain,
( leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),host(sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(forward_subsumption_resolution,[status(thm)],[c_71827,c_111]) ).
tcf(c_84744,plain,
! [X0: $i,X1: $i] :
( leq(s(s(zero)),X0)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_119,c_12413]) ).
tcf(c_84745,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_120,c_12413]) ).
tcf(c_87133,plain,
! [X0: $i] : leq(host(X0),s(nbr_proc)),
inference(superposition,[status(thm)],[c_84745,c_117]) ).
tcf(c_92614,plain,
! [X0: $i] : leq(s(s(zero)),s(s(host(X0)))),
inference(superposition,[status(thm)],[c_84744,c_117]) ).
tcf(c_93022,plain,
leq(s(s(zero)),s(nbr_proc)),
inference(superposition,[status(thm)],[c_5868,c_92614]) ).
tcf(c_93095,plain,
! [X0: $i] :
( leq(s(s(zero)),X0)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_93022,c_106]) ).
tcf(c_95856,plain,
~ leq(s(nbr_proc),s(zero)),
inference(superposition,[status(thm)],[c_93095,c_117]) ).
tcf(c_134081,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| ~ leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_120,c_34955]) ).
tcf(c_137305,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_5789,c_134081]) ).
tcf(c_192973,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_119,c_5390]) ).
tcf(c_195985,plain,
! [X0: $i] : ~ leq(host(X0),zero),
inference(superposition,[status(thm)],[c_192973,c_117]) ).
tcf(c_201087,plain,
leq(host(sK2),nbr_proc),
inference(superposition,[status(thm)],[c_60,c_120]) ).
tcf(c_201088,plain,
~ leq(host(sK6),host(sK8)),
inference(superposition,[status(thm)],[c_56,c_117]) ).
tcf(c_201089,plain,
leq(s(zero),host(sK2)),
inference(superposition,[status(thm)],[c_60,c_119]) ).
tcf(c_201090,plain,
elem(m_Ack(sK1,sK3),queue(host(sK2))),
inference(superposition,[status(thm)],[c_90,c_101]) ).
tcf(c_201099,plain,
! [X0: $i] :
( ~ leq(host(sK5),host(X0))
| ~ elem(m_Ldr(X0),queue(host(sK2))) ),
inference(superposition,[status(thm)],[c_60,c_67]) ).
tcf(c_201100,plain,
! [X0: $i] :
( ~ leq(host(sK2),host(X0))
| ~ elem(m_Ldr(X0),queue(host(sK2))) ),
inference(light_normalisation,[status(thm)],[c_201099,c_60]) ).
tcf(c_201107,plain,
! [X0: $i] :
( ~ elem(m_Down(X0),queue(host(sK5)))
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_60,c_68]) ).
tcf(c_201108,plain,
! [X0: $i] :
( ~ elem(m_Down(sK5),queue(host(X0)))
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_60,c_68]) ).
tcf(c_201109,plain,
! [X0: $i] : ~ elem(m_Down(X0),queue(host(X0))),
inference(equality_resolution,[status(thm)],[c_68]) ).
tcf(c_201112,plain,
! [X0: $i] :
( ~ elem(m_Down(X0),queue(host(sK2)))
| ( host(X0) != host(sK2) ) ),
inference(light_normalisation,[status(thm)],[c_201107,c_60]) ).
tcf(c_201123,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ setIn(sK5,alive)
| ~ setIn(X0,alive)
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_60,c_69]) ).
tcf(c_201126,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ setIn(X0,alive)
| ( host(X0) != host(sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201123,c_49]) ).
tcf(c_201136,plain,
( ( index(elid,host(sK8)) = sK8 )
| ~ setIn(sK8,alive) ),
inference(superposition,[status(thm)],[c_57,c_70]) ).
tcf(c_201138,plain,
( ( index(elid,host(sK5)) = sK5 )
| ~ setIn(sK5,alive)
| ( index(status,host(sK2)) != elec_1 ) ),
inference(superposition,[status(thm)],[c_60,c_70]) ).
tcf(c_201139,plain,
index(elid,host(sK8)) = sK8,
inference(forward_subsumption_resolution,[status(thm)],[c_201136,c_52]) ).
tcf(c_201140,plain,
( ( sK5 = sK1 )
| ~ setIn(sK5,alive)
| ( elec_1 != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_201138,c_60,c_63,c_64]) ).
tcf(c_201148,plain,
( ( index(elid,host(sK2)) = sK2 )
| ~ setIn(sK2,alive) ),
inference(superposition,[status(thm)],[c_64,c_71]) ).
tcf(c_201149,plain,
( ( index(elid,host(sK5)) = sK5 )
| ~ setIn(sK5,alive)
| ( index(status,host(sK2)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_60,c_71]) ).
tcf(c_201150,plain,
( ( sK2 = sK1 )
| ~ setIn(sK2,alive) ),
inference(light_normalisation,[status(thm)],[c_201148,c_63]) ).
tcf(c_201151,plain,
sK2 = sK1,
inference(forward_subsumption_resolution,[status(thm)],[c_201150,c_66]) ).
tcf(c_201152,plain,
( ( index(elid,host(sK5)) = sK5 )
| ~ setIn(sK5,alive) ),
inference(ground_joinability,[status(thm)],[c_201149,c_64]) ).
tcf(c_201153,plain,
( ( sK5 = sK1 )
| ~ setIn(sK5,alive) ),
inference(light_normalisation,[status(thm)],[c_201152,c_60,c_63]) ).
tcf(c_201154,plain,
sK5 = sK1,
inference(forward_subsumption_resolution,[status(thm)],[c_201153,c_49]) ).
tcf(c_201155,plain,
cons(m_Ack(sK2,sK3),sK0) = queue(host(sK2)),
inference(demodulation,[status(thm)],[c_90,c_201151]) ).
tcf(c_201156,plain,
index(elid,host(sK2)) = sK2,
inference(demodulation,[status(thm)],[c_63,c_201151]) ).
tcf(c_201161,plain,
! [X0: $i] : leq(X0,s(X0)),
inference(superposition,[status(thm)],[c_110,c_117]) ).
tcf(c_201165,plain,
sK5 = sK2,
inference(light_normalisation,[status(thm)],[c_201154,c_201151]) ).
tcf(c_201168,plain,
leq(host(sK8),host(sK6)),
inference(superposition,[status(thm)],[c_56,c_201161]) ).
tcf(c_201196,plain,
! [X0: $i] :
( leq(index(pendack,host(sK2)),host(X0))
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK2),index(down,host(X0))) ),
inference(superposition,[status(thm)],[c_64,c_72]) ).
tcf(c_201197,plain,
! [X0: $i] :
( leq(host(sK3),host(X0))
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK2),index(down,host(X0))) ),
inference(light_normalisation,[status(thm)],[c_201196,c_65]) ).
tcf(c_201198,plain,
! [X0: $i] :
( leq(host(sK3),host(X0))
| ~ setIn(X0,alive)
| ~ setIn(host(sK2),index(down,host(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201197,c_66]) ).
tcf(c_201225,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK2)),host(X1))
| ~ setIn(sK2,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_64,c_74]) ).
tcf(c_201226,plain,
! [X0: $i,X1: $i] :
( leq(host(sK3),host(X1))
| ~ setIn(sK2,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(light_normalisation,[status(thm)],[c_201225,c_65]) ).
tcf(c_201227,plain,
! [X0: $i,X1: $i] :
( leq(host(sK3),host(X1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201226,c_66]) ).
tcf(c_201258,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X2)))
| ( host(X0) != host(X1) ) ),
inference(equality_resolution,[status(thm)],[c_78]) ).
tcf(c_201279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ setIn(host(X1),index(down,host(X2)))
| ( host(X0) != host(X1) ) ),
inference(equality_resolution,[status(thm)],[c_79]) ).
tcf(c_201286,plain,
elem(m_Ack(sK2,sK3),queue(host(sK2))),
inference(superposition,[status(thm)],[c_201155,c_101]) ).
tcf(c_201289,plain,
queue(host(sK2)) != q_nil,
inference(superposition,[status(thm)],[c_201155,c_137]) ).
tcf(c_201334,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK10(X1,sK8))
| ~ iPr_def_11
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,s(host(sK8)))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ( s(host(sK8)) != host(X0) ) ),
inference(superposition,[status(thm)],[c_57,c_2567]) ).
tcf(c_201336,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK10(X1,sK8))
| ~ iPr_def_11
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,host(sK6))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ( host(X0) != host(sK6) ) ),
inference(light_normalisation,[status(thm)],[c_201334,c_56]) ).
tcf(c_201337,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK10(X1,sK8))
| ~ iPr_def_11
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ( host(X0) != host(sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201336,c_52,c_954]) ).
tcf(c_201359,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,s(host(sK8)))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK10(X1,sK8))
| ( s(host(sK8)) != host(X0) ) ),
inference(superposition,[status(thm)],[c_57,c_2569]) ).
tcf(c_201361,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,host(sK6))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK10(X1,sK8))
| ( host(X0) != host(sK6) ) ),
inference(light_normalisation,[status(thm)],[c_201359,c_56]) ).
tcf(c_201362,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK10(X1,sK8))
| ( host(X0) != host(sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201361,c_52,c_954]) ).
tcf(c_201384,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,s(host(sK8)))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ( s(host(sK8)) != host(X1) )
| ( sK10(X0,sK8) != host(X0) ) ),
inference(superposition,[status(thm)],[c_57,c_2571]) ).
tcf(c_201386,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,host(sK6))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ( host(X1) != host(sK6) )
| ( sK10(X0,sK8) != host(X0) ) ),
inference(light_normalisation,[status(thm)],[c_201384,c_56]) ).
tcf(c_201387,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ( host(X1) != host(sK6) )
| ( sK10(X0,sK8) != host(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201386,c_52,c_954]) ).
tcf(c_201409,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,s(host(sK8)))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X1,sK8),index(down,host(sK8)))
| ( s(host(sK8)) != host(X0) ) ),
inference(superposition,[status(thm)],[c_57,c_2573]) ).
tcf(c_201411,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ setIn(sK8,alive)
| ~ leq(nbr_proc,host(sK6))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X1,sK8),index(down,host(sK8)))
| ( host(X0) != host(sK6) ) ),
inference(light_normalisation,[status(thm)],[c_201409,c_56]) ).
tcf(c_201412,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X1,sK8),index(down,host(sK8)))
| ( host(X0) != host(sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201411,c_52,c_954]) ).
tcf(c_201434,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK9(X2,sK8))
| ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK8))
| ~ elem(m_Down(X2),queue(host(sK8)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != host(sK8) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_57,c_85]) ).
tcf(c_201459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK8))
| ~ elem(m_Down(X2),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X2,sK8))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != host(sK8) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_57,c_84]) ).
tcf(c_201468,plain,
leq(zero,s(s(host(sK6)))),
inference(superposition,[status(thm)],[c_56,c_66876]) ).
tcf(c_201486,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ( host(X2) != host(sK8) )
| ( sK9(X1,sK8) != host(X1) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_57,c_83]) ).
tcf(c_201511,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK8))
| ~ elem(m_Down(X2),queue(host(sK8)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(sK9(X2,sK8),index(down,host(sK8)))
| ( host(X1) != host(sK8) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_57,c_82]) ).
tcf(c_201558,plain,
! [X0: $i,X1: $i] :
( ( host(index(elid,host(X0))) = host(X0) )
| ~ setIn(X0,alive)
| ~ setIn(index(elid,host(X0)),alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( index(status,host(X0)) != wait )
| ( host(index(elid,host(X0))) != host(X1) )
| ( index(ldr,host(index(elid,host(X0)))) != host(index(elid,host(X0))) )
| ( index(status,host(index(elid,host(X0)))) != norm ) ),
inference(equality_resolution,[status(thm)],[c_81]) ).
tcf(c_201567,plain,
! [X0: $i] :
( ~ elem(m_Down(sK2),queue(host(X0)))
| ( host(X0) != host(sK2) ) ),
inference(light_normalisation,[status(thm)],[c_201108,c_201165]) ).
tcf(c_201572,plain,
~ elem(m_Down(sK2),queue(host(sK2))),
inference(equality_resolution,[status(thm)],[c_201112]) ).
tcf(c_201573,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ setIn(X0,alive)
| ( host(X0) != host(sK2) ) ),
inference(light_normalisation,[status(thm)],[c_201126,c_201165]) ).
tcf(c_201588,plain,
! [X0: $i] :
( leq(X0,host(sK6))
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_56,c_113]) ).
tcf(c_201589,plain,
! [X0: $i] : ~ leq(s(s(X0)),X0),
inference(superposition,[status(thm)],[c_113,c_117]) ).
tcf(c_201592,plain,
! [X0: $i] : leq(X0,s(s(X0))),
inference(superposition,[status(thm)],[c_110,c_201589]) ).
tcf(c_201594,plain,
! [X0: $i] : ~ leq(s(s(s(X0))),X0),
inference(superposition,[status(thm)],[c_113,c_201589]) ).
tcf(c_201595,plain,
~ leq(s(host(sK6)),host(sK8)),
inference(superposition,[status(thm)],[c_56,c_201589]) ).
tcf(c_201596,plain,
leq(host(sK8),s(host(sK6))),
inference(superposition,[status(thm)],[c_56,c_201592]) ).
tcf(c_201605,plain,
! [X0: $i] :
( leq(X0,host(sK6))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_110,c_201588]) ).
tcf(c_201606,plain,
leq(s(zero),host(sK6)),
inference(superposition,[status(thm)],[c_119,c_201588]) ).
tcf(c_201615,plain,
( leq(host(sK3),host(sK8))
| leq(host(sK8),host(sK2))
| ( host(sK2) = host(sK7) )
| ~ setIn(sK8,alive)
| ~ leq(s(zero),host(sK2)) ),
inference(superposition,[status(thm)],[c_51,c_201198]) ).
tcf(c_201616,plain,
( leq(host(sK3),host(sK8))
| leq(host(sK8),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201615,c_52,c_119]) ).
tcf(c_201620,plain,
( ( host(sK2) = host(sK7) )
| leq(host(sK8),host(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_201616,c_5870]) ).
tcf(c_201621,plain,
( leq(host(sK8),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(renaming,[status(thm)],[c_201620]) ).
tcf(c_201634,plain,
! [X0: $i] :
( leq(host(sK3),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK2),queue(host(X0))) ),
inference(equality_resolution,[status(thm)],[c_201227]) ).
tcf(c_201648,plain,
! [X0: $i] :
( leq(s(zero),sK10(X0,sK8))
| ~ iPr_def_11
| ~ elem(m_Down(sK6),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8))) ),
inference(equality_resolution,[status(thm)],[c_201337]) ).
tcf(c_201649,plain,
! [X0: $i] :
( leq(s(zero),sK10(X0,sK8))
| ~ iPr_def_11
| ~ elem(m_Down(X0),queue(host(sK8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201648,c_54]) ).
tcf(c_201662,plain,
( leq(s(zero),sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_54,c_201649]) ).
tcf(c_201663,plain,
( leq(s(zero),sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_55,c_201649]) ).
tcf(c_201678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X2)))
| ( host(X0) != host(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201258,c_68]) ).
tcf(c_201694,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ elem(m_Down(X0),queue(host(X1))) ),
inference(equality_resolution,[status(thm)],[c_201678]) ).
tcf(c_201703,plain,
! [X0: $i] : elem(X0,cons(X0,q_nil)),
inference(superposition,[status(thm)],[c_136,c_98]) ).
tcf(c_201704,plain,
! [X0: $i] :
( ordered(cons(m_Ldr(X0),q_nil))
| ~ ordered(q_nil) ),
inference(superposition,[status(thm)],[c_136,c_130]) ).
tcf(c_201705,plain,
! [X0: $i] : cons(X0,q_nil) != q_nil,
inference(superposition,[status(thm)],[c_136,c_141]) ).
tcf(c_201706,plain,
! [X0: $i] : leq(X0,s(s(s(X0)))),
inference(superposition,[status(thm)],[c_110,c_201594]) ).
tcf(c_201708,plain,
! [X0: $i] : ~ leq(s(s(s(s(X0)))),X0),
inference(superposition,[status(thm)],[c_113,c_201594]) ).
tcf(c_201709,plain,
~ leq(s(s(host(sK6))),host(sK8)),
inference(superposition,[status(thm)],[c_56,c_201594]) ).
tcf(c_201710,plain,
leq(host(sK8),s(s(host(sK6)))),
inference(superposition,[status(thm)],[c_56,c_201706]) ).
tcf(c_201727,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ elem(m_Down(sK6),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK10(X0,sK8)) ),
inference(equality_resolution,[status(thm)],[c_201362]) ).
tcf(c_201728,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK10(X0,sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201727,c_54]) ).
tcf(c_201741,plain,
( ~ iPr_def_12
| ~ leq(host(sK8),sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_54,c_201728]) ).
tcf(c_201742,plain,
( ~ iPr_def_12
| ~ leq(host(sK8),sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_55,c_201728]) ).
tcf(c_201751,plain,
( leq(sK10(sK6,sK8),host(sK8))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_110,c_201741]) ).
tcf(c_201759,plain,
( leq(sK10(sK7,sK8),host(sK8))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_110,c_201742]) ).
tcf(c_201783,plain,
! [X0: $i] :
( ~ iPr_def_14
| ~ elem(m_Down(sK6),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X0,sK8),index(down,host(sK8))) ),
inference(equality_resolution,[status(thm)],[c_201412]) ).
tcf(c_201784,plain,
! [X0: $i] :
( ~ iPr_def_14
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK10(X0,sK8),index(down,host(sK8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201783,c_54]) ).
tcf(c_201797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ setIn(host(X1),index(down,host(X2)))
| ( host(X0) != host(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201279,c_68]) ).
tcf(c_201813,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(X1))) ),
inference(equality_resolution,[status(thm)],[c_201797]) ).
tcf(c_201822,plain,
! [X0: $i,X1: $i] :
( ordered(cons(m_Ack(X0,X1),q_nil))
| ~ ordered(q_nil) ),
inference(superposition,[status(thm)],[c_136,c_91]) ).
tcf(c_201832,plain,
! [X0: $i] :
( elem(X0,queue(host(sK2)))
| ~ elem(X0,sK0) ),
inference(superposition,[status(thm)],[c_201155,c_102]) ).
tcf(c_201841,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_110,c_115]) ).
tcf(c_201842,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_115]) ).
tcf(c_201846,plain,
leq(zero,s(s(s(nbr_proc)))),
inference(superposition,[status(thm)],[c_66088,c_115]) ).
tcf(c_201847,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ leq(host(sK6),s(X0)) ),
inference(superposition,[status(thm)],[c_56,c_115]) ).
tcf(c_201848,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ~ leq(s(X0),host(sK6)) ),
inference(superposition,[status(thm)],[c_56,c_115]) ).
tcf(c_201863,plain,
leq(host(sK8),s(s(s(host(sK6))))),
inference(superposition,[status(thm)],[c_201605,c_201594]) ).
tcf(c_201865,plain,
( leq(sK10(sK6,sK8),host(sK6))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_201605,c_201741]) ).
tcf(c_201866,plain,
( leq(sK10(sK7,sK8),host(sK6))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_201605,c_201742]) ).
tcf(c_201871,plain,
! [X0: $i] : leq(X0,s(s(s(s(X0))))),
inference(superposition,[status(thm)],[c_110,c_201708]) ).
tcf(c_201873,plain,
! [X0: $i] : ~ leq(s(s(s(s(s(X0))))),X0),
inference(superposition,[status(thm)],[c_113,c_201708]) ).
tcf(c_201874,plain,
leq(host(sK8),s(s(s(s(host(sK6)))))),
inference(superposition,[status(thm)],[c_201605,c_201708]) ).
tcf(c_201875,plain,
~ leq(s(s(s(host(sK6)))),host(sK8)),
inference(superposition,[status(thm)],[c_56,c_201708]) ).
tcf(c_201884,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(s(X0),host(sK6)) ),
inference(superposition,[status(thm)],[c_110,c_201847]) ).
tcf(c_201886,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ leq(host(sK6),X0) ),
inference(superposition,[status(thm)],[c_113,c_201847]) ).
tcf(c_201891,plain,
( leq(host(sK8),host(sK8))
| ~ leq(host(sK6),host(sK6)) ),
inference(superposition,[status(thm)],[c_56,c_201847]) ).
tcf(c_201900,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK6),s(X0)) ),
inference(superposition,[status(thm)],[c_110,c_201848]) ).
tcf(c_201902,plain,
leq(zero,host(sK8)),
inference(superposition,[status(thm)],[c_119,c_201848]) ).
tcf(c_201903,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_201605,c_201848]) ).
tcf(c_201915,plain,
! [X0: $i] :
( leq(host(sK8),sK10(X0,sK8))
| ( sK10(X0,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(s(zero),sK10(X0,sK8)) ),
inference(superposition,[status(thm)],[c_51,c_201784]) ).
tcf(c_201931,plain,
( leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(s(zero),sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_54,c_201915]) ).
tcf(c_201932,plain,
( leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(s(zero),sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_55,c_201915]) ).
tcf(c_201949,plain,
( leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),s(zero))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_110,c_201931]) ).
tcf(c_201951,plain,
( leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201662,c_201931]) ).
tcf(c_201968,plain,
( leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),s(zero))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_110,c_201932]) ).
tcf(c_201970,plain,
( leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201663,c_201932]) ).
tcf(c_201994,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK9(X1,sK8))
| ~ setIn(sK2,alive)
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK2,X0),queue(host(sK2)))
| ( host(X0) != host(sK8) ) ),
inference(superposition,[status(thm)],[c_64,c_201434]) ).
tcf(c_201995,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK9(X1,sK8))
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK2,X0),queue(host(sK2)))
| ( host(X0) != host(sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201994,c_66]) ).
tcf(c_202016,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK2,alive)
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X1,sK8))
| ~ elem(m_Ack(sK2,X0),queue(host(sK2)))
| ( host(X0) != host(sK8) ) ),
inference(superposition,[status(thm)],[c_64,c_201459]) ).
tcf(c_202017,plain,
! [X0: $i,X1: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X1,sK8))
| ~ elem(m_Ack(sK2,X0),queue(host(sK2)))
| ( host(X0) != host(sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202016,c_66]) ).
tcf(c_202027,plain,
! [X0: $i] :
( leq(host(sK6),s(X0))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_56,c_116]) ).
tcf(c_202028,plain,
! [X0: $i] :
( leq(s(X0),host(sK6))
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_56,c_116]) ).
tcf(c_202044,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK6))
| leq(host(sK8),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_201605,c_106]) ).
tcf(c_202047,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_106]) ).
tcf(c_202048,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| ~ leq(X2,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_106]) ).
tcf(c_202049,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(X2),X1)
| ~ leq(X2,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_116,c_106]) ).
tcf(c_202050,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_118,c_106]) ).
tcf(c_202051,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_119,c_106]) ).
tcf(c_202052,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_120,c_106]) ).
tcf(c_202053,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(host(sK6),X0) ),
inference(superposition,[status(thm)],[c_954,c_106]) ).
tcf(c_202054,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(host(sK3),X0) ),
inference(superposition,[status(thm)],[c_964,c_106]) ).
tcf(c_202057,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( host(sK2) = host(sK7) )
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_201621,c_106]) ).
tcf(c_202058,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| ~ leq(host(sK6),X0) ),
inference(superposition,[status(thm)],[c_201605,c_106]) ).
tcf(c_202059,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_201592,c_106]) ).
tcf(c_202060,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ leq(s(host(sK6)),X0) ),
inference(superposition,[status(thm)],[c_201596,c_106]) ).
tcf(c_202061,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_201706,c_106]) ).
tcf(c_202062,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ leq(s(s(host(sK6))),X0) ),
inference(superposition,[status(thm)],[c_201710,c_106]) ).
tcf(c_202063,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_201662,c_106]) ).
tcf(c_202064,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_201663,c_106]) ).
tcf(c_202065,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_201871,c_106]) ).
tcf(c_202066,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_7079,c_106]) ).
tcf(c_202067,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_7080,c_106]) ).
tcf(c_202068,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_201846,c_106]) ).
tcf(c_202069,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ~ leq(s(s(s(host(X0)))),X1) ),
inference(superposition,[status(thm)],[c_66876,c_106]) ).
tcf(c_202070,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_66088,c_106]) ).
tcf(c_202071,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ leq(s(s(host(sK6))),X0) ),
inference(superposition,[status(thm)],[c_201468,c_106]) ).
tcf(c_202139,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_201902,c_106]) ).
tcf(c_202140,plain,
leq(zero,host(sK6)),
inference(superposition,[status(thm)],[c_201902,c_201588]) ).
tcf(c_202143,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ leq(host(sK6),X0) ),
inference(superposition,[status(thm)],[c_202140,c_106]) ).
tcf(c_202150,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_201751,c_106]) ).
tcf(c_202159,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_201759,c_106]) ).
tcf(c_202168,plain,
( leq(host(sK6),host(sK6))
| ~ leq(host(sK8),host(sK8)) ),
inference(superposition,[status(thm)],[c_56,c_202027]) ).
tcf(c_202169,plain,
! [X0: $i,X1: $i] :
( leq(host(sK6),X1)
| ~ leq(host(sK8),X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_202027,c_106]) ).
tcf(c_202179,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),X0)
| ~ leq(X1,host(sK8))
| ~ leq(host(sK6),X0) ),
inference(superposition,[status(thm)],[c_202028,c_106]) ).
tcf(c_202198,plain,
! [X0: $i] :
( leq(s(zero),sK9(X0,sK8))
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK2,sK8),queue(host(sK2))) ),
inference(equality_resolution,[status(thm)],[c_201995]) ).
tcf(c_202213,plain,
! [X0: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X0,sK8))
| ~ elem(m_Ack(sK2,sK8),queue(host(sK2))) ),
inference(equality_resolution,[status(thm)],[c_202017]) ).
tcf(c_202233,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK2,alive)
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK2,X1),queue(host(sK2)))
| ( host(X1) != host(sK8) )
| ( sK9(X0,sK8) != host(X0) ) ),
inference(superposition,[status(thm)],[c_64,c_201486]) ).
tcf(c_202234,plain,
! [X0: $i,X1: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK2,X1),queue(host(sK2)))
| ( host(X1) != host(sK8) )
| ( sK9(X0,sK8) != host(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202233,c_66]) ).
tcf(c_202265,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK2,alive)
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK2,X0),queue(host(sK2)))
| ~ setIn(sK9(X1,sK8),index(down,host(sK8)))
| ( host(X0) != host(sK8) ) ),
inference(superposition,[status(thm)],[c_64,c_201511]) ).
tcf(c_202266,plain,
! [X0: $i,X1: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK2,X0),queue(host(sK2)))
| ~ setIn(sK9(X1,sK8),index(down,host(sK8)))
| ( host(X0) != host(sK8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202265,c_66]) ).
tcf(c_202282,plain,
! [X0: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK2,sK8),queue(host(sK2)))
| ~ setIn(sK9(X0,sK8),index(down,host(sK8))) ),
inference(equality_resolution,[status(thm)],[c_202266]) ).
tcf(c_202303,plain,
! [X0: $i] :
( ( host(index(elid,host(sK2))) = host(sK2) )
| ~ setIn(sK2,alive)
| ~ setIn(index(elid,host(sK2)),alive)
| ~ elem(m_Down(X0),queue(host(sK2)))
| ( index(ldr,host(sK2)) != host(sK2) )
| ( index(status,host(sK2)) != wait )
| ( host(index(elid,host(sK2))) != host(X0) )
| ( index(status,host(index(elid,host(sK2)))) != norm ) ),
inference(superposition,[status(thm)],[c_201156,c_201558]) ).
tcf(c_202304,plain,
! [X0: $i] :
( ( host(index(elid,host(sK8))) = host(sK8) )
| ~ setIn(sK8,alive)
| ~ setIn(index(elid,host(sK8)),alive)
| ~ elem(m_Down(X0),queue(host(sK8)))
| ( index(ldr,host(sK8)) != host(sK8) )
| ( index(status,host(sK8)) != wait )
| ( host(index(elid,host(sK8))) != host(X0) )
| ( index(status,host(index(elid,host(sK8)))) != norm ) ),
inference(superposition,[status(thm)],[c_201139,c_201558]) ).
tcf(c_202328,plain,
! [X0: $i] :
( leq(X0,host(sK6))
| ( host(sK8) = X0 )
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_201605,c_109]) ).
tcf(c_202332,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ~ leq(X1,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_109]) ).
tcf(c_202333,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ~ leq(X1,X0)
| ~ leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_116,c_109]) ).
tcf(c_202334,plain,
( ( s(zero) = nbr_proc )
| ~ leq(nbr_proc,s(zero)) ),
inference(superposition,[status(thm)],[c_118,c_109]) ).
tcf(c_202335,plain,
! [X0: $i] :
( ( host(X0) = s(zero) )
| ~ leq(host(X0),s(zero)) ),
inference(superposition,[status(thm)],[c_119,c_109]) ).
tcf(c_202336,plain,
! [X0: $i] :
( ( host(X0) = nbr_proc )
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_120,c_109]) ).
tcf(c_202337,plain,
( ( host(sK6) = nbr_proc )
| ~ leq(host(sK6),nbr_proc) ),
inference(superposition,[status(thm)],[c_954,c_109]) ).
tcf(c_202338,plain,
( ( host(sK3) = nbr_proc )
| ~ leq(host(sK3),nbr_proc) ),
inference(superposition,[status(thm)],[c_964,c_109]) ).
tcf(c_202341,plain,
( ( host(sK2) = host(sK7) )
| ( host(sK2) = host(sK8) )
| ~ leq(host(sK2),host(sK8)) ),
inference(superposition,[status(thm)],[c_201621,c_109]) ).
tcf(c_202342,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( host(sK6) = X0 )
| ~ leq(host(sK6),X0) ),
inference(superposition,[status(thm)],[c_201605,c_109]) ).
tcf(c_202347,plain,
( ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),s(zero)) ),
inference(superposition,[status(thm)],[c_201662,c_109]) ).
tcf(c_202348,plain,
( ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),s(zero)) ),
inference(superposition,[status(thm)],[c_201663,c_109]) ).
tcf(c_202352,plain,
! [X0: $i] :
( ( s(X0) = host(sK6) )
| ~ leq(host(sK8),X0)
| ~ leq(s(X0),host(sK6)) ),
inference(superposition,[status(thm)],[c_202027,c_109]) ).
tcf(c_202353,plain,
! [X0: $i] :
( ( s(X0) = host(sK6) )
| ~ leq(X0,host(sK8))
| ~ leq(host(sK6),s(X0)) ),
inference(superposition,[status(thm)],[c_202028,c_109]) ).
tcf(c_202354,plain,
( ( host(sK8) = zero )
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_201902,c_109]) ).
tcf(c_202355,plain,
( ( host(sK6) = zero )
| ~ leq(host(sK6),zero) ),
inference(superposition,[status(thm)],[c_202140,c_109]) ).
tcf(c_202356,plain,
( ( s(nbr_proc) = zero )
| ~ leq(s(nbr_proc),zero) ),
inference(superposition,[status(thm)],[c_7079,c_109]) ).
tcf(c_202357,plain,
( ( s(s(nbr_proc)) = zero )
| ~ leq(s(s(nbr_proc)),zero) ),
inference(superposition,[status(thm)],[c_7080,c_109]) ).
tcf(c_202358,plain,
( ( s(s(s(nbr_proc))) = zero )
| ~ leq(s(s(s(nbr_proc))),zero) ),
inference(superposition,[status(thm)],[c_201846,c_109]) ).
tcf(c_202359,plain,
! [X0: $i] :
( ( s(s(s(host(X0)))) = zero )
| ~ leq(s(s(s(host(X0)))),zero) ),
inference(superposition,[status(thm)],[c_66876,c_109]) ).
tcf(c_202360,plain,
( ( s(s(s(s(nbr_proc)))) = s(zero) )
| ~ leq(s(s(s(s(nbr_proc)))),s(zero)) ),
inference(superposition,[status(thm)],[c_66088,c_109]) ).
tcf(c_202361,plain,
( ( s(s(host(sK6))) = zero )
| ~ leq(s(s(host(sK6))),zero) ),
inference(superposition,[status(thm)],[c_201468,c_109]) ).
tcf(c_202368,plain,
host(sK3) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_202338,c_120]) ).
tcf(c_202369,plain,
host(sK6) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_202337,c_120]) ).
tcf(c_202410,plain,
( ( host(sK2) = host(sK7) )
| ~ leq(host(sK2),host(sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202341,c_58]) ).
tcf(c_202413,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(demodulation,[status(thm)],[c_201227,c_202368]) ).
tcf(c_202414,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| ~ setIn(X0,alive)
| ~ setIn(host(sK2),index(down,host(X0))) ),
inference(demodulation,[status(thm)],[c_201198,c_202368]) ).
tcf(c_202415,plain,
( setIn(host(sK4),index(acks,host(sK2)))
| ( host(sK4) = nbr_proc ) ),
inference(demodulation,[status(thm)],[c_61,c_202368]) ).
tcf(c_202416,plain,
index(pendack,host(sK2)) = nbr_proc,
inference(demodulation,[status(thm)],[c_65,c_202368]) ).
tcf(c_202417,plain,
leq(nbr_proc,nbr_proc),
inference(demodulation,[status(thm)],[c_964,c_202368]) ).
tcf(c_202427,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,host(sK8)) ),
inference(demodulation,[status(thm)],[c_202028,c_202369]) ).
tcf(c_202428,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| ~ leq(host(sK8),X0) ),
inference(demodulation,[status(thm)],[c_202027,c_202369]) ).
tcf(c_202429,plain,
leq(zero,nbr_proc),
inference(demodulation,[status(thm)],[c_202140,c_202369]) ).
tcf(c_202430,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ~ leq(s(X0),nbr_proc) ),
inference(demodulation,[status(thm)],[c_201848,c_202369]) ).
tcf(c_202431,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ leq(nbr_proc,s(X0)) ),
inference(demodulation,[status(thm)],[c_201847,c_202369]) ).
tcf(c_202432,plain,
~ leq(s(s(s(nbr_proc))),host(sK8)),
inference(demodulation,[status(thm)],[c_201875,c_202369]) ).
tcf(c_202433,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X0) ),
inference(demodulation,[status(thm)],[c_201605,c_202369]) ).
tcf(c_202434,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ( host(X1) != nbr_proc )
| ( sK10(X0,sK8) != host(X0) ) ),
inference(demodulation,[status(thm)],[c_201387,c_202369]) ).
tcf(c_202435,plain,
~ leq(s(s(nbr_proc)),host(sK8)),
inference(demodulation,[status(thm)],[c_201709,c_202369]) ).
tcf(c_202436,plain,
leq(host(sK8),s(s(nbr_proc))),
inference(demodulation,[status(thm)],[c_201710,c_202369]) ).
tcf(c_202437,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(sK8)) ),
inference(demodulation,[status(thm)],[c_201588,c_202369]) ).
tcf(c_202438,plain,
~ leq(s(nbr_proc),host(sK8)),
inference(demodulation,[status(thm)],[c_201595,c_202369]) ).
tcf(c_202439,plain,
leq(host(sK8),s(nbr_proc)),
inference(demodulation,[status(thm)],[c_201596,c_202369]) ).
tcf(c_202441,plain,
~ leq(nbr_proc,host(sK8)),
inference(demodulation,[status(thm)],[c_201088,c_202369]) ).
tcf(c_202442,plain,
leq(host(sK8),nbr_proc),
inference(demodulation,[status(thm)],[c_201168,c_202369]) ).
tcf(c_202443,plain,
s(host(sK8)) = nbr_proc,
inference(demodulation,[status(thm)],[c_56,c_202369]) ).
tcf(c_202465,plain,
( ( zero = nbr_proc )
| ~ leq(nbr_proc,zero) ),
inference(superposition,[status(thm)],[c_202429,c_109]) ).
tcf(c_202466,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202429,c_106]) ).
tcf(c_202472,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(host(sK3),index(down,host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_201797]) ).
tcf(c_202473,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_201678]) ).
tcf(c_202474,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK3))
| ~ elem(m_Down(X2),queue(host(sK3)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(sK9(X2,sK3),index(down,host(sK3)))
| ( host(X1) != host(sK3) )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202368,c_82]) ).
tcf(c_202475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK3))
| ~ elem(m_Down(X1),queue(host(sK3)))
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ( host(X2) != host(sK3) )
| ( index(status,nbr_proc) != elec_1 )
| ( sK9(X1,sK3) != host(X1) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202368,c_83]) ).
tcf(c_202476,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK3))
| ~ elem(m_Down(X2),queue(host(sK3)))
| ~ leq(host(sK3),sK9(X2,sK3))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != host(sK3) )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202368,c_84]) ).
tcf(c_202477,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK9(X2,sK3))
| ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK3))
| ~ elem(m_Down(X2),queue(host(sK3)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != host(sK3) )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202368,c_85]) ).
tcf(c_202478,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ setIn(sK3,alive)
| ~ leq(nbr_proc,s(host(sK3)))
| ~ elem(m_Down(X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ setIn(sK10(X1,sK3),index(down,host(sK3)))
| ( s(host(sK3)) != host(X0) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(superposition,[status(thm)],[c_202368,c_2573]) ).
tcf(c_202479,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ~ setIn(sK3,alive)
| ~ leq(nbr_proc,s(host(sK3)))
| ~ elem(m_Down(X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ( s(host(sK3)) != host(X1) )
| ( index(status,nbr_proc) != elec_1 )
| ( sK10(X0,sK3) != host(X0) ) ),
inference(superposition,[status(thm)],[c_202368,c_2571]) ).
tcf(c_202480,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ~ setIn(sK3,alive)
| ~ leq(nbr_proc,s(host(sK3)))
| ~ elem(m_Down(X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ leq(host(sK3),sK10(X1,sK3))
| ( s(host(sK3)) != host(X0) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(superposition,[status(thm)],[c_202368,c_2569]) ).
tcf(c_202481,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK10(X1,sK3))
| ~ iPr_def_11
| ~ setIn(sK3,alive)
| ~ leq(nbr_proc,s(host(sK3)))
| ~ elem(m_Down(X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ( s(host(sK3)) != host(X0) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(superposition,[status(thm)],[c_202368,c_2567]) ).
tcf(c_202482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X1) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(sK3)))
| ( host(X1) != host(X2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_79]) ).
tcf(c_202483,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X1) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X1) != host(X2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_78]) ).
tcf(c_202484,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK3) )
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,host(sK3)) != norm ) ),
inference(superposition,[status(thm)],[c_202368,c_75]) ).
tcf(c_202485,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK3)),host(X1))
| ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK3) )
| ( index(status,nbr_proc) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202368,c_74]) ).
tcf(c_202487,plain,
! [X0: $i] :
( ~ elem(m_Down(sK3),queue(host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_68]) ).
tcf(c_202488,plain,
! [X0: $i] :
( ~ elem(m_Ldr(X0),queue(nbr_proc))
| ~ leq(host(sK3),host(X0)) ),
inference(superposition,[status(thm)],[c_202368,c_67]) ).
tcf(c_202489,plain,
! [X0: $i] :
( ( host(index(elid,host(sK3))) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(index(elid,host(sK3)),alive)
| ~ elem(m_Down(X0),queue(host(sK3)))
| ( index(status,host(sK3)) != wait )
| ( host(index(elid,host(sK3))) != host(X0) )
| ( index(ldr,host(index(elid,nbr_proc))) != host(index(elid,nbr_proc)) )
| ( index(status,host(index(elid,host(sK3)))) != norm ) ),
inference(superposition,[status(thm)],[c_202368,c_201558]) ).
tcf(c_202490,plain,
! [X0: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK2,sK3),queue(host(sK2)))
| ~ setIn(sK9(X0,sK8),index(down,host(sK8)))
| ( host(sK8) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_202266]) ).
tcf(c_202491,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK3,alive)
| ~ leq(host(sK3),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK3,X0),queue(host(sK3)))
| ~ setIn(sK9(X1,sK8),index(down,host(sK8)))
| ( host(X0) != host(sK8) )
| ( index(status,nbr_proc) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202368,c_201511]) ).
tcf(c_202492,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK3,alive)
| ~ leq(host(sK3),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK3,X1),queue(host(sK3)))
| ( host(X1) != host(sK8) )
| ( index(status,nbr_proc) != elec_2 )
| ( sK9(X0,sK8) != host(X0) ) ),
inference(superposition,[status(thm)],[c_202368,c_201486]) ).
tcf(c_202493,plain,
! [X0: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X0,sK8))
| ~ elem(m_Ack(sK2,sK3),queue(host(sK2)))
| ( host(sK8) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_202017]) ).
tcf(c_202494,plain,
! [X0: $i] :
( leq(s(zero),sK9(X0,sK8))
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK2,sK3),queue(host(sK2)))
| ( host(sK8) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_201995]) ).
tcf(c_202495,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK3,alive)
| ~ leq(host(sK3),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X1,sK8))
| ~ elem(m_Ack(sK3,X0),queue(host(sK3)))
| ( host(X0) != host(sK8) )
| ( index(status,nbr_proc) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202368,c_201459]) ).
tcf(c_202496,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK9(X1,sK8))
| ~ setIn(sK3,alive)
| ~ leq(host(sK3),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK3,X0),queue(host(sK3)))
| ( host(X0) != host(sK8) )
| ( index(status,nbr_proc) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202368,c_201434]) ).
tcf(c_202497,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X1),queue(host(sK3)))
| ~ setIn(host(X0),index(down,host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_201797]) ).
tcf(c_202498,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_201678]) ).
tcf(c_202499,plain,
( ( sK2 = sK3 )
| ~ setIn(sK3,alive)
| ( host(sK2) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_201573]) ).
tcf(c_202501,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(sK3)))
| ( host(X0) != host(X1) )
| ( index(status,host(sK3)) != wait )
| ( host(index(elid,nbr_proc)) != host(X0) )
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X0)) != norm ) ),
inference(superposition,[status(thm)],[c_202368,c_81]) ).
tcf(c_202502,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != host(sK3) )
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,host(sK3)) != norm )
| ( index(ldr,host(X0)) != host(sK3) )
| ( index(status,host(X0)) != norm ) ),
inference(superposition,[status(thm)],[c_202368,c_80]) ).
tcf(c_202503,plain,
~ elem(m_Down(sK3),queue(nbr_proc)),
inference(superposition,[status(thm)],[c_202368,c_201109]) ).
tcf(c_202505,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,host(sK3)) != norm )
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X0)) != norm ) ),
inference(superposition,[status(thm)],[c_202368,c_76]) ).
tcf(c_202506,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(X1))
| ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK3) )
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,host(sK3)) != norm ) ),
inference(superposition,[status(thm)],[c_202368,c_77]) ).
tcf(c_202507,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(host(X1),index(down,host(X2)))
| ( host(X2) != nbr_proc )
| ( host(X0) != host(X1) ) ),
inference(superposition,[status(thm)],[c_202368,c_79]) ).
tcf(c_202508,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X2)))
| ( host(X2) != nbr_proc )
| ( host(X0) != host(X1) ) ),
inference(superposition,[status(thm)],[c_202368,c_78]) ).
tcf(c_202509,plain,
! [X0: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK3),index(down,host(X0)))
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,host(sK3)) != norm ) ),
inference(superposition,[status(thm)],[c_202368,c_73]) ).
tcf(c_202510,plain,
! [X0: $i] :
( leq(index(pendack,host(sK3)),host(X0))
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK3),index(down,host(X0)))
| ( index(status,nbr_proc) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202368,c_72]) ).
tcf(c_202511,plain,
( ~ iPr_def_10
| ~ setIn(sK3,alive)
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,host(sK3)) != norm ) ),
inference(superposition,[status(thm)],[c_202368,c_2566]) ).
tcf(c_202512,plain,
( ( index(elid,host(sK3)) = sK3 )
| ~ setIn(sK3,alive)
| ( index(status,nbr_proc) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202368,c_71]) ).
tcf(c_202513,plain,
( ( index(elid,host(sK3)) = sK3 )
| ~ setIn(sK3,alive)
| ( index(status,nbr_proc) != elec_1 ) ),
inference(superposition,[status(thm)],[c_202368,c_70]) ).
tcf(c_202514,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_69]) ).
tcf(c_202515,plain,
! [X0: $i] :
( ~ elem(m_Down(X0),queue(host(sK3)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_68]) ).
tcf(c_202518,plain,
! [X0: $i] :
( ~ leq(nbr_proc,host(X0))
| ~ elem(m_Ldr(X0),queue(nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_202488,c_202368]) ).
tcf(c_202521,plain,
! [X0: $i] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_202515,c_202368]) ).
tcf(c_202535,plain,
( ( index(elid,nbr_proc) = sK3 )
| ~ setIn(sK3,alive)
| ( index(status,nbr_proc) != elec_1 ) ),
inference(light_normalisation,[status(thm)],[c_202513,c_202368]) ).
tcf(c_202539,plain,
( ( index(elid,nbr_proc) = sK3 )
| ~ setIn(sK3,alive)
| ( index(status,nbr_proc) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_202512,c_202368]) ).
tcf(c_202543,plain,
( ~ iPr_def_10
| ~ setIn(sK3,alive)
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,nbr_proc) != norm ) ),
inference(light_normalisation,[status(thm)],[c_202511,c_202368]) ).
tcf(c_202548,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_202498,c_202368]) ).
tcf(c_202559,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ setIn(host(X0),index(down,host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_202497,c_202368]) ).
tcf(c_202565,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ setIn(nbr_proc,index(down,host(X1)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_202472,c_202368]) ).
tcf(c_202571,plain,
! [X0: $i] :
( leq(index(pendack,nbr_proc),host(X0))
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ setIn(nbr_proc,index(down,host(X0)))
| ( index(status,nbr_proc) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_202510,c_202368]) ).
tcf(c_202577,plain,
! [X0: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ setIn(nbr_proc,index(down,host(X0)))
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,nbr_proc) != norm ) ),
inference(light_normalisation,[status(thm)],[c_202509,c_202368]) ).
tcf(c_202583,plain,
! [X0: $i] :
( leq(s(zero),sK9(X0,sK8))
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ( host(sK8) != nbr_proc ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202494,c_201286]) ).
tcf(c_202588,plain,
! [X0: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X0,sK8))
| ( host(sK8) != nbr_proc ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202493,c_201286]) ).
tcf(c_202593,plain,
! [X0: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ setIn(sK9(X0,sK8),index(down,host(sK8)))
| ( host(sK8) != nbr_proc ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202490,c_201286]) ).
tcf(c_202598,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,nbr_proc),host(X1))
| ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != nbr_proc )
| ( index(status,nbr_proc) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_202485,c_202368]) ).
tcf(c_202605,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != nbr_proc )
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,nbr_proc) != norm ) ),
inference(light_normalisation,[status(thm)],[c_202484,c_202368]) ).
tcf(c_202619,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X1) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X1) != host(X2) )
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_202483,c_202368]) ).
tcf(c_202635,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X1) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| ~ setIn(host(X2),index(down,nbr_proc))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X1) != host(X2) )
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_202482,c_202368]) ).
tcf(c_202643,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,nbr_proc) != norm )
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X0)) != norm ) ),
inference(light_normalisation,[status(thm)],[c_202505,c_202368]) ).
tcf(c_202654,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK10(X1,sK3))
| ~ iPr_def_11
| ~ setIn(sK3,alive)
| ~ leq(nbr_proc,s(nbr_proc))
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ( host(X0) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(light_normalisation,[status(thm)],[c_202481,c_202368]) ).
tcf(c_202655,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK10(X1,sK3))
| ~ iPr_def_11
| ~ setIn(sK3,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ( host(X0) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202654,c_201161]) ).
tcf(c_202664,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ~ setIn(sK3,alive)
| ~ leq(nbr_proc,s(nbr_proc))
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ leq(nbr_proc,sK10(X1,sK3))
| ( host(X0) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(light_normalisation,[status(thm)],[c_202480,c_202368]) ).
tcf(c_202665,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ~ setIn(sK3,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ leq(nbr_proc,sK10(X1,sK3))
| ( host(X0) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202664,c_201161]) ).
tcf(c_202673,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ~ setIn(sK3,alive)
| ~ leq(nbr_proc,s(nbr_proc))
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ( host(X1) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 )
| ( sK10(X0,sK3) != host(X0) ) ),
inference(light_normalisation,[status(thm)],[c_202479,c_202368]) ).
tcf(c_202674,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ~ setIn(sK3,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ( host(X1) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 )
| ( sK10(X0,sK3) != host(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202673,c_201161]) ).
tcf(c_202682,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ setIn(sK3,alive)
| ~ leq(nbr_proc,s(nbr_proc))
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ setIn(sK10(X1,sK3),index(down,nbr_proc))
| ( host(X0) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(light_normalisation,[status(thm)],[c_202478,c_202368]) ).
tcf(c_202683,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ setIn(sK3,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ setIn(sK10(X1,sK3),index(down,nbr_proc))
| ( host(X0) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202682,c_201161]) ).
tcf(c_202691,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK9(X2,sK3))
| ~ setIn(X0,alive)
| ~ leq(host(X0),nbr_proc)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_202477,c_202368]) ).
tcf(c_202692,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK9(X2,sK3))
| ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202691,c_120]) ).
tcf(c_202700,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),nbr_proc)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ leq(nbr_proc,sK9(X2,sK3))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_202476,c_202368]) ).
tcf(c_202701,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ leq(nbr_proc,sK9(X2,sK3))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202700,c_120]) ).
tcf(c_202709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),nbr_proc)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ( host(X2) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( sK9(X1,sK3) != host(X1) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_202475,c_202368]) ).
tcf(c_202710,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ( host(X2) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( sK9(X1,sK3) != host(X1) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202709,c_120]) ).
tcf(c_202718,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),nbr_proc)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ setIn(sK9(X2,sK3),index(down,nbr_proc))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_202474,c_202368]) ).
tcf(c_202719,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ setIn(sK9(X2,sK3),index(down,nbr_proc))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202718,c_120]) ).
tcf(c_202727,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,nbr_proc) != norm )
| ( index(ldr,host(X0)) != nbr_proc )
| ( index(status,host(X0)) != norm ) ),
inference(light_normalisation,[status(thm)],[c_202502,c_202368]) ).
tcf(c_202737,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ( host(X0) != host(X1) )
| ( index(status,nbr_proc) != wait )
| ( host(index(elid,nbr_proc)) != host(X0) )
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X0)) != norm ) ),
inference(light_normalisation,[status(thm)],[c_202501,c_202368]) ).
tcf(c_202747,plain,
! [X0: $i] :
( ( host(index(elid,nbr_proc)) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(index(elid,nbr_proc),alive)
| ~ elem(m_Down(X0),queue(nbr_proc))
| ( index(status,nbr_proc) != wait )
| ( host(index(elid,nbr_proc)) != host(X0) )
| ( index(ldr,host(index(elid,nbr_proc))) != host(index(elid,nbr_proc)) )
| ( index(status,host(index(elid,nbr_proc))) != norm ) ),
inference(light_normalisation,[status(thm)],[c_202489,c_202368]) ).
tcf(c_202806,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(host(sK6),index(down,host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_201797]) ).
tcf(c_202807,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_201678]) ).
tcf(c_202808,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK6))
| ~ elem(m_Down(X2),queue(host(sK6)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(sK9(X2,sK6),index(down,host(sK6)))
| ( host(X1) != host(sK6) )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202369,c_82]) ).
tcf(c_202809,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK6))
| ~ elem(m_Down(X1),queue(host(sK6)))
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ( host(X2) != host(sK6) )
| ( index(status,nbr_proc) != elec_1 )
| ( sK9(X1,sK6) != host(X1) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202369,c_83]) ).
tcf(c_202810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK6))
| ~ elem(m_Down(X2),queue(host(sK6)))
| ~ leq(host(sK6),sK9(X2,sK6))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != host(sK6) )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202369,c_84]) ).
tcf(c_202811,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK9(X2,sK6))
| ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK6))
| ~ elem(m_Down(X2),queue(host(sK6)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != host(sK6) )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202369,c_85]) ).
tcf(c_202812,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ setIn(sK6,alive)
| ~ leq(nbr_proc,s(host(sK6)))
| ~ elem(m_Down(X1),queue(host(sK6)))
| ~ elem(m_Down(X0),queue(host(sK6)))
| ~ setIn(sK10(X1,sK6),index(down,host(sK6)))
| ( s(host(sK6)) != host(X0) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(superposition,[status(thm)],[c_202369,c_2573]) ).
tcf(c_202813,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ~ setIn(sK6,alive)
| ~ leq(nbr_proc,s(host(sK6)))
| ~ elem(m_Down(X1),queue(host(sK6)))
| ~ elem(m_Down(X0),queue(host(sK6)))
| ( s(host(sK6)) != host(X1) )
| ( index(status,nbr_proc) != elec_1 )
| ( sK10(X0,sK6) != host(X0) ) ),
inference(superposition,[status(thm)],[c_202369,c_2571]) ).
tcf(c_202814,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ~ setIn(sK6,alive)
| ~ leq(nbr_proc,s(host(sK6)))
| ~ elem(m_Down(X1),queue(host(sK6)))
| ~ elem(m_Down(X0),queue(host(sK6)))
| ~ leq(host(sK6),sK10(X1,sK6))
| ( s(host(sK6)) != host(X0) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(superposition,[status(thm)],[c_202369,c_2569]) ).
tcf(c_202815,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK10(X1,sK6))
| ~ iPr_def_11
| ~ setIn(sK6,alive)
| ~ leq(nbr_proc,s(host(sK6)))
| ~ elem(m_Down(X1),queue(host(sK6)))
| ~ elem(m_Down(X0),queue(host(sK6)))
| ( s(host(sK6)) != host(X0) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(superposition,[status(thm)],[c_202369,c_2567]) ).
tcf(c_202816,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X1) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(sK6)))
| ( host(X1) != host(X2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_79]) ).
tcf(c_202817,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X1) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK6)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X1) != host(X2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_78]) ).
tcf(c_202818,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK6) )
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,host(sK6)) != norm ) ),
inference(superposition,[status(thm)],[c_202369,c_75]) ).
tcf(c_202819,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK6)),host(X1))
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK6) )
| ( index(status,nbr_proc) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202369,c_74]) ).
tcf(c_202821,plain,
! [X0: $i] :
( ~ elem(m_Down(sK6),queue(host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_68]) ).
tcf(c_202822,plain,
! [X0: $i] :
( ~ elem(m_Ldr(X0),queue(nbr_proc))
| ~ leq(host(sK6),host(X0)) ),
inference(superposition,[status(thm)],[c_202369,c_67]) ).
tcf(c_202823,plain,
! [X0: $i] :
( ( host(index(elid,host(sK6))) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(index(elid,host(sK6)),alive)
| ~ elem(m_Down(X0),queue(host(sK6)))
| ( index(status,host(sK6)) != wait )
| ( host(index(elid,host(sK6))) != host(X0) )
| ( index(ldr,host(index(elid,nbr_proc))) != host(index(elid,nbr_proc)) )
| ( index(status,host(index(elid,host(sK6)))) != norm ) ),
inference(superposition,[status(thm)],[c_202369,c_201558]) ).
tcf(c_202824,plain,
! [X0: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK2,sK6),queue(host(sK2)))
| ~ setIn(sK9(X0,sK8),index(down,host(sK8)))
| ( host(sK8) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_202266]) ).
tcf(c_202825,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK6,alive)
| ~ leq(host(sK6),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK6,X0),queue(host(sK6)))
| ~ setIn(sK9(X1,sK8),index(down,host(sK8)))
| ( host(X0) != host(sK8) )
| ( index(status,nbr_proc) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202369,c_201511]) ).
tcf(c_202826,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK6,alive)
| ~ leq(host(sK6),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK6,X1),queue(host(sK6)))
| ( host(X1) != host(sK8) )
| ( index(status,nbr_proc) != elec_2 )
| ( sK9(X0,sK8) != host(X0) ) ),
inference(superposition,[status(thm)],[c_202369,c_201486]) ).
tcf(c_202827,plain,
! [X0: $i] :
( ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X0,sK8))
| ~ elem(m_Ack(sK2,sK6),queue(host(sK2)))
| ( host(sK8) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_202017]) ).
tcf(c_202828,plain,
! [X0: $i] :
( leq(s(zero),sK9(X0,sK8))
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK2,sK6),queue(host(sK2)))
| ( host(sK8) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_201995]) ).
tcf(c_202829,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK6,alive)
| ~ leq(host(sK6),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X1,sK8))
| ~ elem(m_Ack(sK6,X0),queue(host(sK6)))
| ( host(X0) != host(sK8) )
| ( index(status,nbr_proc) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202369,c_201459]) ).
tcf(c_202830,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK9(X1,sK8))
| ~ setIn(sK6,alive)
| ~ leq(host(sK6),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK6,X0),queue(host(sK6)))
| ( host(X0) != host(sK8) )
| ( index(status,nbr_proc) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202369,c_201434]) ).
tcf(c_202831,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X1),queue(host(sK6)))
| ~ setIn(host(X0),index(down,host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_201797]) ).
tcf(c_202832,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X1),queue(host(sK6)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_201678]) ).
tcf(c_202833,plain,
( ( sK2 = sK6 )
| ~ setIn(sK6,alive)
| ( host(sK2) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_201573]) ).
tcf(c_202835,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(sK6)))
| ( host(X0) != host(X1) )
| ( index(status,host(sK6)) != wait )
| ( host(index(elid,nbr_proc)) != host(X0) )
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X0)) != norm ) ),
inference(superposition,[status(thm)],[c_202369,c_81]) ).
tcf(c_202836,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != host(sK6) )
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,host(sK6)) != norm )
| ( index(ldr,host(X0)) != host(sK6) )
| ( index(status,host(X0)) != norm ) ),
inference(superposition,[status(thm)],[c_202369,c_80]) ).
tcf(c_202837,plain,
~ elem(m_Down(sK6),queue(nbr_proc)),
inference(superposition,[status(thm)],[c_202369,c_201109]) ).
tcf(c_202839,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,host(sK6)) != norm )
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X0)) != norm ) ),
inference(superposition,[status(thm)],[c_202369,c_76]) ).
tcf(c_202840,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(X1))
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK6) )
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,host(sK6)) != norm ) ),
inference(superposition,[status(thm)],[c_202369,c_77]) ).
tcf(c_202841,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(host(X1),index(down,host(X2)))
| ( host(X2) != nbr_proc )
| ( host(X0) != host(X1) ) ),
inference(superposition,[status(thm)],[c_202369,c_79]) ).
tcf(c_202842,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X2)))
| ( host(X2) != nbr_proc )
| ( host(X0) != host(X1) ) ),
inference(superposition,[status(thm)],[c_202369,c_78]) ).
tcf(c_202843,plain,
! [X0: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK6),index(down,host(X0)))
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,host(sK6)) != norm ) ),
inference(superposition,[status(thm)],[c_202369,c_73]) ).
tcf(c_202844,plain,
! [X0: $i] :
( leq(index(pendack,host(sK6)),host(X0))
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK6),index(down,host(X0)))
| ( index(status,nbr_proc) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202369,c_72]) ).
tcf(c_202845,plain,
( ~ iPr_def_10
| ~ setIn(sK6,alive)
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,host(sK6)) != norm ) ),
inference(superposition,[status(thm)],[c_202369,c_2566]) ).
tcf(c_202846,plain,
( ( index(elid,host(sK6)) = sK6 )
| ~ setIn(sK6,alive)
| ( index(status,nbr_proc) != elec_2 ) ),
inference(superposition,[status(thm)],[c_202369,c_71]) ).
tcf(c_202847,plain,
( ( index(elid,host(sK6)) = sK6 )
| ~ setIn(sK6,alive)
| ( index(status,nbr_proc) != elec_1 ) ),
inference(superposition,[status(thm)],[c_202369,c_70]) ).
tcf(c_202848,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_69]) ).
tcf(c_202849,plain,
! [X0: $i] :
( ~ elem(m_Down(X0),queue(host(sK6)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_68]) ).
tcf(c_202865,plain,
( ( index(elid,nbr_proc) = sK6 )
| ~ setIn(sK6,alive)
| ( index(status,nbr_proc) != elec_1 ) ),
inference(light_normalisation,[status(thm)],[c_202847,c_202369]) ).
tcf(c_202869,plain,
( ( index(elid,nbr_proc) = sK6 )
| ~ setIn(sK6,alive)
| ( index(status,nbr_proc) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_202846,c_202369]) ).
tcf(c_202873,plain,
( ~ iPr_def_10
| ~ setIn(sK6,alive)
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,nbr_proc) != norm ) ),
inference(light_normalisation,[status(thm)],[c_202845,c_202369]) ).
tcf(c_202878,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_202832,c_202369]) ).
tcf(c_202889,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ setIn(host(X0),index(down,host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_202831,c_202369]) ).
tcf(c_202896,plain,
! [X0: $i] :
( leq(index(pendack,nbr_proc),host(X0))
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ setIn(nbr_proc,index(down,host(X0)))
| ( index(status,nbr_proc) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_202844,c_202369]) ).
tcf(c_202902,plain,
! [X0: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ setIn(nbr_proc,index(down,host(X0)))
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,nbr_proc) != norm ) ),
inference(light_normalisation,[status(thm)],[c_202843,c_202369]) ).
tcf(c_202923,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,nbr_proc),host(X1))
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != nbr_proc )
| ( index(status,nbr_proc) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_202819,c_202369]) ).
tcf(c_202930,plain,
! [X0: $i,X1: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != nbr_proc )
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,nbr_proc) != norm ) ),
inference(light_normalisation,[status(thm)],[c_202818,c_202369]) ).
tcf(c_202944,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X1) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X1) != host(X2) )
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_202817,c_202369]) ).
tcf(c_202960,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X1) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ setIn(host(X2),index(down,nbr_proc))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X1) != host(X2) )
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_202816,c_202369]) ).
tcf(c_202968,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,nbr_proc) != norm )
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X0)) != norm ) ),
inference(light_normalisation,[status(thm)],[c_202839,c_202369]) ).
tcf(c_202979,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK10(X1,sK6))
| ~ iPr_def_11
| ~ setIn(sK6,alive)
| ~ leq(nbr_proc,s(nbr_proc))
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ( host(X0) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(light_normalisation,[status(thm)],[c_202815,c_202369]) ).
tcf(c_202980,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK10(X1,sK6))
| ~ iPr_def_11
| ~ setIn(sK6,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ( host(X0) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202979,c_201161]) ).
tcf(c_202989,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ~ setIn(sK6,alive)
| ~ leq(nbr_proc,s(nbr_proc))
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ leq(nbr_proc,sK10(X1,sK6))
| ( host(X0) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(light_normalisation,[status(thm)],[c_202814,c_202369]) ).
tcf(c_202990,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ~ setIn(sK6,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ leq(nbr_proc,sK10(X1,sK6))
| ( host(X0) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202989,c_201161]) ).
tcf(c_202998,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ~ setIn(sK6,alive)
| ~ leq(nbr_proc,s(nbr_proc))
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ( host(X1) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 )
| ( sK10(X0,sK6) != host(X0) ) ),
inference(light_normalisation,[status(thm)],[c_202813,c_202369]) ).
tcf(c_202999,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ~ setIn(sK6,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ( host(X1) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 )
| ( sK10(X0,sK6) != host(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202998,c_201161]) ).
tcf(c_203007,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ setIn(sK6,alive)
| ~ leq(nbr_proc,s(nbr_proc))
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ setIn(sK10(X1,sK6),index(down,nbr_proc))
| ( host(X0) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(light_normalisation,[status(thm)],[c_202812,c_202369]) ).
tcf(c_203008,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ setIn(sK6,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ setIn(sK10(X1,sK6),index(down,nbr_proc))
| ( host(X0) != s(nbr_proc) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203007,c_201161]) ).
tcf(c_203016,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK9(X2,sK6))
| ~ setIn(X0,alive)
| ~ leq(host(X0),nbr_proc)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_202811,c_202369]) ).
tcf(c_203017,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK9(X2,sK6))
| ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203016,c_120]) ).
tcf(c_203025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),nbr_proc)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ leq(nbr_proc,sK9(X2,sK6))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_202810,c_202369]) ).
tcf(c_203026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ leq(nbr_proc,sK9(X2,sK6))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203025,c_120]) ).
tcf(c_203034,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),nbr_proc)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ( host(X2) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( sK9(X1,sK6) != host(X1) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_202809,c_202369]) ).
tcf(c_203035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ( host(X2) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( sK9(X1,sK6) != host(X1) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203034,c_120]) ).
tcf(c_203043,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ leq(host(X0),nbr_proc)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ setIn(sK9(X2,sK6),index(down,nbr_proc))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_202808,c_202369]) ).
tcf(c_203044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ setIn(sK9(X2,sK6),index(down,nbr_proc))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( index(status,nbr_proc) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203043,c_120]) ).
tcf(c_203052,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,nbr_proc) != norm )
| ( index(ldr,host(X0)) != nbr_proc )
| ( index(status,host(X0)) != norm ) ),
inference(light_normalisation,[status(thm)],[c_202836,c_202369]) ).
tcf(c_203062,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ( host(X0) != host(X1) )
| ( index(status,nbr_proc) != wait )
| ( host(index(elid,nbr_proc)) != host(X0) )
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X0)) != norm ) ),
inference(light_normalisation,[status(thm)],[c_202835,c_202369]) ).
tcf(c_203072,plain,
! [X0: $i] :
( ( host(index(elid,nbr_proc)) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(index(elid,nbr_proc),alive)
| ~ elem(m_Down(X0),queue(nbr_proc))
| ( index(status,nbr_proc) != wait )
| ( host(index(elid,nbr_proc)) != host(X0) )
| ( index(ldr,host(index(elid,nbr_proc))) != host(index(elid,nbr_proc)) )
| ( index(status,host(index(elid,nbr_proc))) != norm ) ),
inference(light_normalisation,[status(thm)],[c_202823,c_202369]) ).
tcf(c_203090,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_202439,c_106]) ).
tcf(c_203095,plain,
leq(host(sK8),s(s(s(nbr_proc)))),
inference(superposition,[status(thm)],[c_202443,c_201871]) ).
tcf(c_203125,plain,
~ elem(m_Down(sK3),queue(host(sK6))),
inference(superposition,[status(thm)],[c_202369,c_202487]) ).
tcf(c_203126,plain,
~ elem(m_Down(sK3),queue(host(sK3))),
inference(superposition,[status(thm)],[c_202368,c_202487]) ).
tcf(c_203133,plain,
~ elem(m_Down(sK6),queue(host(sK6))),
inference(superposition,[status(thm)],[c_202369,c_202821]) ).
tcf(c_203134,plain,
~ elem(m_Down(sK6),queue(host(sK3))),
inference(superposition,[status(thm)],[c_202368,c_202821]) ).
tcf(c_203145,plain,
( ( sK6 = sK3 )
| ~ setIn(sK3,alive)
| ~ setIn(sK6,alive) ),
inference(superposition,[status(thm)],[c_202369,c_202514]) ).
tcf(c_203160,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK2),queue(host(X0))) ),
inference(light_normalisation,[status(thm)],[c_201634,c_202368]) ).
tcf(c_203170,plain,
( leq(nbr_proc,host(sK6))
| ~ setIn(sK6,alive)
| ~ elem(m_Down(sK2),queue(nbr_proc)) ),
inference(superposition,[status(thm)],[c_202369,c_203160]) ).
tcf(c_203171,plain,
( leq(nbr_proc,host(sK3))
| ~ setIn(sK3,alive)
| ~ elem(m_Down(sK2),queue(nbr_proc)) ),
inference(superposition,[status(thm)],[c_202368,c_203160]) ).
tcf(c_203172,plain,
( leq(nbr_proc,nbr_proc)
| ~ setIn(sK3,alive)
| ~ elem(m_Down(sK2),queue(nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_203171,c_202368]) ).
tcf(c_203173,plain,
( leq(nbr_proc,nbr_proc)
| ~ setIn(sK6,alive)
| ~ elem(m_Down(sK2),queue(nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_203170,c_202369]) ).
tcf(c_203174,plain,
! [X0: $i] : cons(m_Ack(sK2,sK3),snoc(sK0,X0)) = snoc(queue(host(sK2)),X0),
inference(superposition,[status(thm)],[c_201155,c_135]) ).
tcf(c_203175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_135,c_91]) ).
tcf(c_203176,plain,
! [X0: $i,X1: $i,X2: $i] : elem(X0,cons(X1,snoc(X2,X0))),
inference(superposition,[status(thm)],[c_135,c_98]) ).
tcf(c_203177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( elem(X0,cons(X1,snoc(X2,X3)))
| ~ elem(X0,cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_135,c_99]) ).
tcf(c_203178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_135,c_130]) ).
tcf(c_203179,plain,
! [X0: $i,X1: $i,X2: $i] : cons(X0,snoc(X1,X2)) != q_nil,
inference(superposition,[status(thm)],[c_135,c_141]) ).
tcf(c_203210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( elem(X0,cons(X1,X2))
| ( X0 = X3 )
| ~ elem(X0,cons(X1,snoc(X2,X3))) ),
inference(superposition,[status(thm)],[c_135,c_100]) ).
tcf(c_203211,plain,
! [X0: $i,X1: $i] :
( elem(X0,q_nil)
| ( X0 = X1 )
| ~ elem(X0,cons(X1,q_nil)) ),
inference(superposition,[status(thm)],[c_136,c_100]) ).
tcf(c_203212,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ elem(X0,cons(X1,q_nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203211,c_104]) ).
tcf(c_203221,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_202436,c_106]) ).
tcf(c_203242,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK6)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_202508]) ).
tcf(c_203243,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK3)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_202508]) ).
tcf(c_203244,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(sK6),queue(host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_202508]) ).
tcf(c_203245,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(sK3),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_202508]) ).
tcf(c_203277,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK6)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_202842]) ).
tcf(c_203278,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK3)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_202842]) ).
tcf(c_203279,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(sK6),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_202842]) ).
tcf(c_203280,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(sK6),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_202842]) ).
tcf(c_203349,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK6)))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_202507]) ).
tcf(c_203350,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK3)))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_202507]) ).
tcf(c_203351,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(host(sK6),index(down,host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_202507]) ).
tcf(c_203352,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(host(sK3),index(down,host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_202507]) ).
tcf(c_203353,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(equality_resolution,[status(thm)],[c_202507]) ).
tcf(c_203360,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(nbr_proc,index(down,host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_203352,c_202368]) ).
tcf(c_203385,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK6)))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_202841]) ).
tcf(c_203386,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK3)))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_202841]) ).
tcf(c_203387,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(host(sK6),index(down,host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_202841]) ).
tcf(c_203388,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(host(sK3),index(down,host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_202841]) ).
tcf(c_203389,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(equality_resolution,[status(thm)],[c_202841]) ).
tcf(c_203396,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(nbr_proc,index(down,host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_203388,c_202368]) ).
tcf(c_203410,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_203095,c_106]) ).
tcf(c_203413,plain,
( leq(sK10(sK6,sK8),nbr_proc)
| ~ iPr_def_12 ),
inference(light_normalisation,[status(thm)],[c_201865,c_202369]) ).
tcf(c_203420,plain,
( ( sK10(sK6,sK8) = nbr_proc )
| ~ iPr_def_12
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_203413,c_109]) ).
tcf(c_203421,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203413,c_106]) ).
tcf(c_203428,plain,
! [X0: $i,X1: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(sK0,X0),X1)) = snoc(snoc(queue(host(sK2)),X0),X1),
inference(superposition,[status(thm)],[c_203174,c_135]) ).
tcf(c_203429,plain,
! [X0: $i] : snoc(queue(host(sK2)),X0) != q_nil,
inference(superposition,[status(thm)],[c_203174,c_137]) ).
tcf(c_203430,plain,
! [X0: $i] : elem(m_Ack(sK2,sK3),snoc(queue(host(sK2)),X0)),
inference(superposition,[status(thm)],[c_203174,c_101]) ).
tcf(c_203431,plain,
! [X0: $i,X1: $i] :
( elem(X0,snoc(queue(host(sK2)),X1))
| ~ elem(X0,snoc(sK0,X1)) ),
inference(superposition,[status(thm)],[c_203174,c_102]) ).
tcf(c_203442,plain,
! [X0: $i] :
( elem(X0,sK0)
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,queue(host(sK2))) ),
inference(superposition,[status(thm)],[c_201155,c_103]) ).
tcf(c_203443,plain,
! [X0: $i,X1: $i] :
( elem(X0,snoc(sK0,X1))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(queue(host(sK2)),X1)) ),
inference(superposition,[status(thm)],[c_203174,c_103]) ).
tcf(c_203458,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(X0),X1)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_110,c_114]) ).
tcf(c_203460,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),X1)
| ( s(X0) = s(X1) )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_114]) ).
tcf(c_203467,plain,
( leq(host(sK8),nbr_proc)
| ( host(sK8) = s(nbr_proc) ) ),
inference(superposition,[status(thm)],[c_202439,c_114]) ).
tcf(c_203471,plain,
! [X0: $i] :
( leq(zero,s(s(host(X0))))
| ( s(s(s(host(X0)))) = zero ) ),
inference(superposition,[status(thm)],[c_66876,c_114]) ).
tcf(c_203472,plain,
( leq(s(zero),s(s(s(nbr_proc))))
| ( s(s(s(s(nbr_proc)))) = s(zero) ) ),
inference(superposition,[status(thm)],[c_66088,c_114]) ).
tcf(c_203473,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( s(host(sK8)) = X0 )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_202443,c_114]) ).
tcf(c_203477,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_203473,c_202443]) ).
tcf(c_203492,plain,
! [X0: $i] :
( ( host(X0) != nbr_proc )
| ( host(X0) != host(sK8) ) ),
inference(superposition,[status(thm)],[c_202443,c_105]) ).
tcf(c_203493,plain,
! [X0: $i] :
( ( host(X0) != s(nbr_proc) )
| ( host(X0) != host(sK6) ) ),
inference(superposition,[status(thm)],[c_202369,c_105]) ).
tcf(c_203494,plain,
! [X0: $i] :
( ( host(X0) != s(nbr_proc) )
| ( host(X0) != host(sK3) ) ),
inference(superposition,[status(thm)],[c_202368,c_105]) ).
tcf(c_203497,plain,
! [X0: $i] :
( ( host(X0) != nbr_proc )
| ( host(X0) != s(nbr_proc) ) ),
inference(light_normalisation,[status(thm)],[c_203494,c_202368]) ).
tcf(c_203509,plain,
! [X0: $i,X1: $i] :
( leq(sK6,X0)
| ~ elem(m_Down(X0),X1)
| ~ ordered(cons(m_Halt(sK6),X1))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_97]) ).
tcf(c_203510,plain,
! [X0: $i,X1: $i] :
( leq(sK3,X0)
| ~ elem(m_Down(X0),X1)
| ~ ordered(cons(m_Halt(sK3),X1))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_97]) ).
tcf(c_203511,plain,
! [X0: $i,X1: $i] :
( leq(X0,sK6)
| ~ elem(m_Down(sK6),X1)
| ~ ordered(cons(m_Halt(X0),X1))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_97]) ).
tcf(c_203512,plain,
! [X0: $i,X1: $i] :
( leq(X0,sK3)
| ~ elem(m_Down(sK3),X1)
| ~ ordered(cons(m_Halt(X0),X1))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_97]) ).
tcf(c_203534,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( host(sK8) = X0 )
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_202433,c_109]) ).
tcf(c_203535,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_202433,c_106]) ).
tcf(c_203536,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(s(X0),nbr_proc)
| ( s(X0) = host(sK8) ) ),
inference(superposition,[status(thm)],[c_202433,c_114]) ).
tcf(c_203538,plain,
( leq(sK10(sK7,sK8),nbr_proc)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_202433,c_201742]) ).
tcf(c_203556,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_110,c_202466]) ).
tcf(c_203557,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_113,c_202466]) ).
tcf(c_203561,plain,
leq(zero,s(s(s(s(nbr_proc))))),
inference(superposition,[status(thm)],[c_201871,c_202466]) ).
tcf(c_203570,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( X0 = zero )
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_203556,c_109]) ).
tcf(c_203571,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_203556,c_106]) ).
tcf(c_203572,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),nbr_proc)
| ( s(X0) = zero ) ),
inference(superposition,[status(thm)],[c_203556,c_114]) ).
tcf(c_203573,plain,
! [X0: $i] :
( leq(zero,X0)
| ( X0 = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203556,c_109]) ).
tcf(c_203574,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203556,c_106]) ).
tcf(c_203595,plain,
! [X0: $i] : elem(X0,snoc(queue(host(sK2)),X0)),
inference(superposition,[status(thm)],[c_203174,c_203176]) ).
tcf(c_203596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : elem(X0,cons(X1,cons(X2,snoc(X3,X0)))),
inference(superposition,[status(thm)],[c_135,c_203176]) ).
tcf(c_203597,plain,
! [X0: $i,X1: $i] : elem(X0,cons(X1,cons(X0,q_nil))),
inference(superposition,[status(thm)],[c_136,c_203176]) ).
tcf(c_203598,plain,
! [X0: $i,X1: $i,X2: $i] :
( elem(X0,snoc(X2,X0))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_203176,c_103]) ).
tcf(c_203603,plain,
( ( sK10(sK7,sK8) = nbr_proc )
| ~ iPr_def_12
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_203538,c_109]) ).
tcf(c_203604,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203538,c_106]) ).
tcf(c_203633,plain,
! [X0: $i] :
( ~ elem(m_Ldr(X0),sK0)
| ~ leq(host(sK2),host(X0)) ),
inference(superposition,[status(thm)],[c_201832,c_67]) ).
tcf(c_203634,plain,
~ elem(m_Down(sK2),sK0),
inference(superposition,[status(thm)],[c_201832,c_201109]) ).
tcf(c_203643,plain,
~ elem(m_Ldr(sK2),sK0),
inference(superposition,[status(thm)],[c_111,c_203633]) ).
tcf(c_203644,plain,
! [X0: $i] :
( leq(host(X0),host(sK2))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_110,c_203633]) ).
tcf(c_203645,plain,
( ~ elem(m_Ldr(sK6),sK0)
| ~ leq(host(sK2),nbr_proc) ),
inference(superposition,[status(thm)],[c_202369,c_203633]) ).
tcf(c_203646,plain,
( ~ elem(m_Ldr(sK3),sK0)
| ~ leq(host(sK2),nbr_proc) ),
inference(superposition,[status(thm)],[c_202368,c_203633]) ).
tcf(c_203647,plain,
~ elem(m_Ldr(sK3),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_203646,c_120]) ).
tcf(c_203648,plain,
~ elem(m_Ldr(sK6),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_203645,c_120]) ).
tcf(c_203651,plain,
! [X0: $i,X1: $i,X2: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(sK0,X0),X1),X2)) = snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),
inference(superposition,[status(thm)],[c_203428,c_135]) ).
tcf(c_203652,plain,
! [X0: $i,X1: $i] : snoc(snoc(queue(host(sK2)),X0),X1) != q_nil,
inference(superposition,[status(thm)],[c_203428,c_137]) ).
tcf(c_203653,plain,
! [X0: $i,X1: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(queue(host(sK2)),X0),X1)),
inference(superposition,[status(thm)],[c_203428,c_101]) ).
tcf(c_203654,plain,
! [X0: $i,X1: $i,X2: $i] :
( elem(X0,snoc(snoc(queue(host(sK2)),X1),X2))
| ~ elem(X0,snoc(snoc(sK0,X1),X2)) ),
inference(superposition,[status(thm)],[c_203428,c_102]) ).
tcf(c_203655,plain,
! [X0: $i,X1: $i,X2: $i] :
( elem(X0,snoc(snoc(sK0,X1),X2))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(queue(host(sK2)),X1),X2)) ),
inference(superposition,[status(thm)],[c_203428,c_103]) ).
tcf(c_203656,plain,
! [X0: $i,X1: $i] : elem(X0,snoc(snoc(queue(host(sK2)),X1),X0)),
inference(superposition,[status(thm)],[c_203428,c_203176]) ).
tcf(c_203662,plain,
! [X0: $i,X1: $i] :
( elem(X0,cons(X0,q_nil))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_203597,c_103]) ).
tcf(c_203667,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_202443,c_201841]) ).
tcf(c_203668,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_202443,c_201841]) ).
tcf(c_203669,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( s(X0) = s(X1) )
| ~ leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_201841,c_109]) ).
tcf(c_203670,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(s(X2),X1)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_201841,c_106]) ).
tcf(c_203671,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),X0)
| ( s(X0) = s(X1) ) ),
inference(superposition,[status(thm)],[c_201841,c_114]) ).
tcf(c_203735,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_201842]) ).
tcf(c_203736,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_201841,c_201842]) ).
tcf(c_203739,plain,
! [X0: $i] : leq(zero,host(X0)),
inference(superposition,[status(thm)],[c_119,c_201842]) ).
tcf(c_203743,plain,
( leq(zero,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201662,c_201842]) ).
tcf(c_203744,plain,
( leq(zero,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201663,c_201842]) ).
tcf(c_203745,plain,
! [X0: $i] : leq(X0,s(s(s(s(s(X0)))))),
inference(superposition,[status(thm)],[c_201871,c_201842]) ).
tcf(c_203746,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(X0)) ),
inference(superposition,[status(thm)],[c_203556,c_201842]) ).
tcf(c_203748,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202443,c_201842]) ).
tcf(c_203763,plain,
! [X0: $i] :
( ( host(X0) = zero )
| ~ leq(host(X0),zero) ),
inference(superposition,[status(thm)],[c_203739,c_109]) ).
tcf(c_203764,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_203739,c_106]) ).
tcf(c_203774,plain,
( ( sK10(sK6,sK8) = zero )
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),zero) ),
inference(superposition,[status(thm)],[c_203743,c_109]) ).
tcf(c_203775,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_203743,c_106]) ).
tcf(c_203786,plain,
( ( sK10(sK7,sK8) = zero )
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),zero) ),
inference(superposition,[status(thm)],[c_203744,c_109]) ).
tcf(c_203787,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_203744,c_106]) ).
tcf(c_203798,plain,
( leq(nbr_proc,nbr_proc)
| leq(host(sK8),host(sK8)) ),
inference(superposition,[status(thm)],[c_202443,c_203667]) ).
tcf(c_203799,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203667,c_109]) ).
tcf(c_203800,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,host(sK8))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_203667,c_106]) ).
tcf(c_203801,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,host(sK8))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203667,c_114]) ).
tcf(c_203802,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_203667,c_202466]) ).
tcf(c_203803,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| ( host(sK8) = X0 )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_203667,c_109]) ).
tcf(c_203804,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_203667,c_106]) ).
tcf(c_203805,plain,
leq(nbr_proc,s(s(host(sK8)))),
inference(superposition,[status(thm)],[c_203667,c_117]) ).
tcf(c_203806,plain,
( leq(nbr_proc,s(host(sK2)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203667,c_203633]) ).
tcf(c_203807,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203667,c_202437]) ).
tcf(c_203808,plain,
leq(nbr_proc,s(s(s(host(sK8))))),
inference(superposition,[status(thm)],[c_203667,c_201589]) ).
tcf(c_203809,plain,
leq(nbr_proc,s(s(s(s(host(sK8)))))),
inference(superposition,[status(thm)],[c_203667,c_201594]) ).
tcf(c_203810,plain,
leq(nbr_proc,s(s(s(s(s(host(sK8))))))),
inference(superposition,[status(thm)],[c_203667,c_201708]) ).
tcf(c_203811,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_203667,c_201842]) ).
tcf(c_203812,plain,
( leq(nbr_proc,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203667,c_202410]) ).
tcf(c_203813,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(zero,host(sK8)) ),
inference(superposition,[status(thm)],[c_203667,c_202466]) ).
tcf(c_203814,plain,
leq(nbr_proc,s(nbr_proc)),
inference(superposition,[status(thm)],[c_203667,c_202441]) ).
tcf(c_203815,plain,
leq(nbr_proc,s(s(s(s(nbr_proc))))),
inference(superposition,[status(thm)],[c_203667,c_202432]) ).
tcf(c_203816,plain,
leq(nbr_proc,s(s(s(nbr_proc)))),
inference(superposition,[status(thm)],[c_203667,c_202435]) ).
tcf(c_203817,plain,
leq(nbr_proc,s(s(nbr_proc))),
inference(superposition,[status(thm)],[c_203667,c_202438]) ).
tcf(c_203852,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203668,c_109]) ).
tcf(c_203853,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203668,c_106]) ).
tcf(c_203869,plain,
! [X0: $i] :
( ( host(sK8) = X0 )
| ~ leq(nbr_proc,X0)
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_203748,c_109]) ).
tcf(c_203870,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_203748,c_106]) ).
tcf(c_203871,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( s(X0) = host(sK8) )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203748,c_114]) ).
tcf(c_203873,plain,
( ~ iPr_def_12
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_203748,c_201741]) ).
tcf(c_203874,plain,
( ~ iPr_def_12
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_203748,c_201742]) ).
tcf(c_203907,plain,
host(sK8) != nbr_proc,
inference(equality_resolution,[status(thm)],[c_203492]) ).
tcf(c_203912,plain,
! [X0: $i] :
( ( s(zero) = X0 )
| ~ leq(nbr_proc,X0)
| ~ leq(X0,s(zero)) ),
inference(superposition,[status(thm)],[c_202050,c_109]) ).
tcf(c_203913,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_202050,c_106]) ).
tcf(c_203914,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( s(X0) = s(zero) )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_202050,c_114]) ).
tcf(c_203915,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_202050,c_115]) ).
tcf(c_203916,plain,
~ leq(nbr_proc,zero),
inference(superposition,[status(thm)],[c_202050,c_117]) ).
tcf(c_203918,plain,
( leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_202050,c_201931]) ).
tcf(c_203919,plain,
( leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_202050,c_201932]) ).
tcf(c_203948,plain,
! [X0: $i,X1: $i] :
( ( host(X1) = X0 )
| ~ leq(nbr_proc,X0)
| ~ leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_202052,c_109]) ).
tcf(c_203949,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),X1)
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_202052,c_106]) ).
tcf(c_203950,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ( host(X1) = s(X0) )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_202052,c_114]) ).
tcf(c_203951,plain,
! [X0: $i] :
( ~ elem(m_Ldr(X0),sK0)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_202052,c_203633]) ).
tcf(c_203973,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_110,c_202066]) ).
tcf(c_203974,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_113,c_202066]) ).
tcf(c_203978,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_203667,c_202066]) ).
tcf(c_203981,plain,
leq(zero,s(s(s(s(s(nbr_proc)))))),
inference(superposition,[status(thm)],[c_201871,c_202066]) ).
tcf(c_203988,plain,
( ( s(s(s(s(nbr_proc)))) = zero )
| ~ leq(s(s(s(s(nbr_proc)))),zero) ),
inference(superposition,[status(thm)],[c_203561,c_109]) ).
tcf(c_203989,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_203561,c_106]) ).
tcf(c_204000,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( s(X0) = X1 )
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_203736,c_109]) ).
tcf(c_204001,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_203736,c_106]) ).
tcf(c_204008,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_203736,c_201842]) ).
tcf(c_204010,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_203736,c_202066]) ).
tcf(c_204026,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(X0) = zero )
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_203746,c_109]) ).
tcf(c_204027,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_203746,c_106]) ).
tcf(c_204041,plain,
( leq(host(sK8),nbr_proc)
| leq(s(host(sK8)),nbr_proc) ),
inference(superposition,[status(thm)],[c_202433,c_202427]) ).
tcf(c_204044,plain,
leq(s(host(sK8)),nbr_proc),
inference(superposition,[status(thm)],[c_111,c_202427]) ).
tcf(c_204046,plain,
leq(s(s(zero)),nbr_proc),
inference(superposition,[status(thm)],[c_119,c_202427]) ).
tcf(c_204047,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203667,c_202427]) ).
tcf(c_204048,plain,
( leq(s(sK10(sK6,sK8)),nbr_proc)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_201751,c_202427]) ).
tcf(c_204049,plain,
( leq(s(sK10(sK7,sK8)),nbr_proc)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_201759,c_202427]) ).
tcf(c_204060,plain,
( leq(nbr_proc,nbr_proc)
| leq(host(sK8),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_204041,c_202443]) ).
tcf(c_204070,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_113,c_202428]) ).
tcf(c_204074,plain,
leq(nbr_proc,s(host(sK8))),
inference(superposition,[status(thm)],[c_203667,c_202428]) ).
tcf(c_204078,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202052,c_202428]) ).
tcf(c_204092,plain,
( leq(zero,host(sK8))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_202050,c_202430]) ).
tcf(c_204096,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_203668,c_202430]) ).
tcf(c_204098,plain,
( leq(host(sK8),host(sK8))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_202443,c_202430]) ).
tcf(c_204157,plain,
( ( s(s(zero)) = nbr_proc )
| ~ leq(nbr_proc,s(s(zero))) ),
inference(superposition,[status(thm)],[c_204046,c_109]) ).
tcf(c_204158,plain,
! [X0: $i] :
( leq(s(s(zero)),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204046,c_106]) ).
tcf(c_204160,plain,
leq(s(zero),host(sK8)),
inference(superposition,[status(thm)],[c_204046,c_202430]) ).
tcf(c_204170,plain,
! [X0: $i] :
( leq(zero,X0)
| ( s(nbr_proc) = X0 )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_203973,c_109]) ).
tcf(c_204171,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_203973,c_106]) ).
tcf(c_204195,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_110,c_202139]) ).
tcf(c_204197,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_113,c_202139]) ).
tcf(c_204199,plain,
leq(zero,s(host(sK8))),
inference(superposition,[status(thm)],[c_201161,c_202139]) ).
tcf(c_204200,plain,
( leq(zero,host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_201621,c_202139]) ).
tcf(c_204201,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_203667,c_202139]) ).
tcf(c_204202,plain,
leq(zero,s(s(host(sK8)))),
inference(superposition,[status(thm)],[c_201592,c_202139]) ).
tcf(c_204203,plain,
leq(zero,s(s(s(host(sK8))))),
inference(superposition,[status(thm)],[c_201706,c_202139]) ).
tcf(c_204204,plain,
leq(zero,s(s(s(s(host(sK8)))))),
inference(superposition,[status(thm)],[c_201871,c_202139]) ).
tcf(c_204217,plain,
( leq(nbr_proc,nbr_proc)
| leq(zero,host(sK8)) ),
inference(light_normalisation,[status(thm)],[c_204201,c_202443]) ).
tcf(c_204226,plain,
! [X0: $i] :
( leq(zero,X0)
| ( host(sK8) = X0 )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204195,c_109]) ).
tcf(c_204227,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204195,c_106]) ).
tcf(c_204229,plain,
( leq(zero,host(sK2))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_204195,c_203633]) ).
tcf(c_204230,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_204195,c_202427]) ).
tcf(c_204256,plain,
! [X0: $i] :
( leq(zero,X0)
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204230,c_109]) ).
tcf(c_204257,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204230,c_106]) ).
tcf(c_204287,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ elem(m_Ldr(X1),sK0)
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_203644,c_106]) ).
tcf(c_204296,plain,
( ( s(host(sK2)) = nbr_proc )
| ~ elem(m_Ldr(sK8),sK0)
| ~ leq(s(host(sK2)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203806,c_109]) ).
tcf(c_204297,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ elem(m_Ldr(sK8),sK0)
| ~ leq(s(host(sK2)),X0) ),
inference(superposition,[status(thm)],[c_203806,c_106]) ).
tcf(c_204298,plain,
( leq(nbr_proc,host(sK2))
| ( s(host(sK2)) = nbr_proc )
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_114]) ).
tcf(c_204299,plain,
( leq(zero,s(host(sK2)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_202466]) ).
tcf(c_204300,plain,
( leq(host(sK8),host(sK2))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_202431]) ).
tcf(c_204321,plain,
( leq(nbr_proc,s(nbr_proc))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203667,c_203951]) ).
tcf(c_204337,plain,
( ( host(sK2) = host(sK7) )
| ( s(host(sK2)) = nbr_proc )
| ~ leq(s(host(sK2)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203812,c_109]) ).
tcf(c_204338,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ( host(sK2) = host(sK7) )
| ~ leq(s(host(sK2)),X0) ),
inference(superposition,[status(thm)],[c_203812,c_106]) ).
tcf(c_204339,plain,
( leq(nbr_proc,host(sK2))
| ( host(sK2) = host(sK7) )
| ( s(host(sK2)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203812,c_114]) ).
tcf(c_204340,plain,
( leq(zero,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203812,c_202466]) ).
tcf(c_204361,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_110,c_202063]) ).
tcf(c_204362,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203736,c_202063]) ).
tcf(c_204363,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_113,c_202063]) ).
tcf(c_204364,plain,
( leq(s(zero),s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201161,c_202063]) ).
tcf(c_204365,plain,
( leq(zero,sK10(sK6,sK8))
| leq(s(zero),host(sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204195,c_202063]) ).
tcf(c_204366,plain,
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203667,c_202063]) ).
tcf(c_204367,plain,
( leq(s(zero),s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201592,c_202063]) ).
tcf(c_204368,plain,
( leq(s(zero),s(s(s(sK10(sK6,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201706,c_202063]) ).
tcf(c_204369,plain,
( leq(s(zero),s(s(s(s(sK10(sK6,sK8))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201871,c_202063]) ).
tcf(c_204370,plain,
( leq(s(zero),host(sK8))
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201751,c_202063]) ).
tcf(c_204373,plain,
( leq(zero,sK10(sK6,sK8))
| leq(s(zero),s(nbr_proc))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203973,c_202063]) ).
tcf(c_204394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3)) = snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),
inference(superposition,[status(thm)],[c_203651,c_135]) ).
tcf(c_204395,plain,
! [X0: $i,X1: $i,X2: $i] : snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2) != q_nil,
inference(superposition,[status(thm)],[c_203651,c_137]) ).
tcf(c_204396,plain,
! [X0: $i,X1: $i,X2: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2)),
inference(superposition,[status(thm)],[c_203651,c_101]) ).
tcf(c_204397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( elem(X0,snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3))
| ~ elem(X0,snoc(snoc(snoc(sK0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_203651,c_102]) ).
tcf(c_204398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( elem(X0,snoc(snoc(snoc(sK0,X1),X2),X3))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_203651,c_103]) ).
tcf(c_204399,plain,
! [X0: $i,X1: $i,X2: $i] : elem(X0,snoc(snoc(snoc(queue(host(sK2)),X1),X2),X0)),
inference(superposition,[status(thm)],[c_203651,c_203176]) ).
tcf(c_204410,plain,
! [X0: $i] :
( ( s(X0) = zero )
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_203557,c_109]) ).
tcf(c_204411,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_203557,c_106]) ).
tcf(c_204412,plain,
! [X0: $i] :
( leq(zero,X0)
| ( s(X0) = zero )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203557,c_114]) ).
tcf(c_204429,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_110,c_203764]) ).
tcf(c_204430,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_203736,c_203764]) ).
tcf(c_204431,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_203764]) ).
tcf(c_204433,plain,
! [X0: $i] : leq(zero,s(host(X0))),
inference(superposition,[status(thm)],[c_201161,c_203764]) ).
tcf(c_204434,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_203644,c_203764]) ).
tcf(c_204437,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_203667,c_203764]) ).
tcf(c_204438,plain,
! [X0: $i] : leq(zero,s(s(host(X0)))),
inference(superposition,[status(thm)],[c_201592,c_203764]) ).
tcf(c_204440,plain,
! [X0: $i] : leq(zero,s(s(s(s(host(X0)))))),
inference(superposition,[status(thm)],[c_201871,c_203764]) ).
tcf(c_204462,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ( host(X0) = X1 )
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_204429,c_109]) ).
tcf(c_204463,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_204429,c_106]) ).
tcf(c_204491,plain,
! [X0: $i] :
( ( s(host(X0)) = zero )
| ~ leq(s(host(X0)),zero) ),
inference(superposition,[status(thm)],[c_204433,c_109]) ).
tcf(c_204492,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_204433,c_106]) ).
tcf(c_204501,plain,
! [X0: $i] :
( ( s(s(host(X0))) = zero )
| ~ leq(s(s(host(X0))),zero) ),
inference(superposition,[status(thm)],[c_204438,c_109]) ).
tcf(c_204502,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_204438,c_106]) ).
tcf(c_204509,plain,
leq(nbr_proc,s(s(s(s(s(s(host(sK8)))))))),
inference(superposition,[status(thm)],[c_203745,c_202428]) ).
tcf(c_204511,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(s(s(s(s(s(X0))))),X1) ),
inference(superposition,[status(thm)],[c_203745,c_106]) ).
tcf(c_204514,plain,
! [X0: $i] : leq(X0,s(s(s(s(s(s(X0))))))),
inference(superposition,[status(thm)],[c_203745,c_201842]) ).
tcf(c_204516,plain,
! [X0: $i] : leq(zero,s(s(s(s(s(host(X0))))))),
inference(superposition,[status(thm)],[c_203745,c_203764]) ).
tcf(c_204517,plain,
( leq(s(zero),s(s(s(s(s(sK10(sK6,sK8)))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203745,c_202063]) ).
tcf(c_204518,plain,
leq(host(sK8),s(s(s(s(nbr_proc))))),
inference(superposition,[status(thm)],[c_203745,c_202431]) ).
tcf(c_204519,plain,
leq(zero,s(s(s(s(s(s(nbr_proc))))))),
inference(superposition,[status(thm)],[c_203745,c_202066]) ).
tcf(c_204520,plain,
leq(nbr_proc,s(s(s(s(s(nbr_proc)))))),
inference(light_normalisation,[status(thm)],[c_204509,c_202443]) ).
tcf(c_204563,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( s(X0) = zero )
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_203802,c_109]) ).
tcf(c_204564,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,host(sK8))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_203802,c_106]) ).
tcf(c_204565,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| ( s(X0) = zero ) ),
inference(superposition,[status(thm)],[c_203802,c_114]) ).
tcf(c_204566,plain,
( leq(nbr_proc,s(host(sK8)))
| leq(zero,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_203802,c_202428]) ).
tcf(c_204567,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ( host(sK8) = X0 )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_203802,c_109]) ).
tcf(c_204568,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_203802,c_106]) ).
tcf(c_204571,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203802,c_202427]) ).
tcf(c_204575,plain,
leq(zero,s(s(s(s(s(host(sK8))))))),
inference(superposition,[status(thm)],[c_203802,c_201708]) ).
tcf(c_204576,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_203802,c_201842]) ).
tcf(c_204580,plain,
( leq(s(zero),host(sK8))
| leq(zero,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203802,c_202063]) ).
tcf(c_204592,plain,
( leq(nbr_proc,nbr_proc)
| leq(zero,nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_204566,c_202443]) ).
tcf(c_204616,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_110,c_202064]) ).
tcf(c_204617,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203736,c_202064]) ).
tcf(c_204618,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_113,c_202064]) ).
tcf(c_204619,plain,
( leq(s(zero),s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201161,c_202064]) ).
tcf(c_204620,plain,
( leq(s(zero),host(sK8))
| leq(zero,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203802,c_202064]) ).
tcf(c_204621,plain,
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203667,c_202064]) ).
tcf(c_204622,plain,
( leq(s(zero),s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201592,c_202064]) ).
tcf(c_204623,plain,
( leq(s(zero),s(s(s(sK10(sK7,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201706,c_202064]) ).
tcf(c_204624,plain,
( leq(s(zero),s(s(s(s(sK10(sK7,sK8))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201871,c_202064]) ).
tcf(c_204626,plain,
( leq(s(zero),s(s(s(s(s(sK10(sK7,sK8)))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203745,c_202064]) ).
tcf(c_204630,plain,
( leq(zero,sK10(sK7,sK8))
| leq(s(zero),s(nbr_proc))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203973,c_202064]) ).
tcf(c_204671,plain,
( leq(nbr_proc,s(host(sK8)))
| ( host(sK8) = nbr_proc )
| ~ leq(host(sK8),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202428]) ).
tcf(c_204672,plain,
! [X0: $i] :
( ( X0 = nbr_proc )
| ( host(sK8) = X0 )
| ~ leq(X0,nbr_proc)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_203477,c_109]) ).
tcf(c_204673,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ( X1 = nbr_proc )
| ~ leq(X1,nbr_proc)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_203477,c_106]) ).
tcf(c_204675,plain,
( ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(sK8),sK0)
| ~ leq(host(sK2),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_203633]) ).
tcf(c_204676,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202427]) ).
tcf(c_204678,plain,
( ( s(s(host(sK8))) = nbr_proc )
| ~ leq(s(s(host(sK8))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_201589]) ).
tcf(c_204679,plain,
( ( s(s(s(host(sK8)))) = nbr_proc )
| ~ leq(s(s(s(host(sK8)))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_201594]) ).
tcf(c_204680,plain,
( ( s(s(s(s(host(sK8))))) = nbr_proc )
| ~ leq(s(s(s(s(host(sK8))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_201708]) ).
tcf(c_204682,plain,
( ( host(sK2) = nbr_proc )
| ( host(sK2) = host(sK7) )
| ~ leq(host(sK2),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202410]) ).
tcf(c_204684,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| ( host(X0) = nbr_proc )
| ~ leq(host(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_203764]) ).
tcf(c_204685,plain,
( leq(s(zero),host(sK8))
| ( sK10(sK6,sK8) = nbr_proc )
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202063]) ).
tcf(c_204686,plain,
( leq(s(zero),host(sK8))
| ( sK10(sK7,sK8) = nbr_proc )
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202064]) ).
tcf(c_204689,plain,
( ( s(s(s(nbr_proc))) = nbr_proc )
| ~ leq(s(s(s(nbr_proc))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202432]) ).
tcf(c_204690,plain,
( ( s(s(nbr_proc)) = nbr_proc )
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202435]) ).
tcf(c_204691,plain,
( ( s(nbr_proc) = nbr_proc )
| ~ leq(s(nbr_proc),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202438]) ).
tcf(c_204692,plain,
( leq(zero,host(sK8))
| ( s(nbr_proc) = nbr_proc )
| ~ leq(s(nbr_proc),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202066]) ).
tcf(c_204697,plain,
( ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(sK8),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204675,c_120]) ).
tcf(c_204700,plain,
( leq(nbr_proc,nbr_proc)
| ( host(sK8) = nbr_proc )
| ~ leq(host(sK8),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_204671,c_202443]) ).
tcf(c_204701,plain,
( ( host(sK2) = nbr_proc )
| ( host(sK2) = host(sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204682,c_120]) ).
tcf(c_204714,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| ~ leq(host(sK8),X0)
| ~ leq(s(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_202169,c_202369]) ).
tcf(c_204724,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_202433,c_204714]) ).
tcf(c_204726,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(host(sK8)),X0) ),
inference(superposition,[status(thm)],[c_111,c_204714]) ).
tcf(c_204728,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,host(sK8))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_203736,c_204714]) ).
tcf(c_204729,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| ~ leq(host(sK8),X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_113,c_204714]) ).
tcf(c_204730,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_120,c_204714]) ).
tcf(c_204731,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(host(sK8))),X0) ),
inference(superposition,[status(thm)],[c_201161,c_204714]) ).
tcf(c_204734,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ( host(sK8) = nbr_proc )
| ~ leq(host(sK8),nbr_proc)
| ~ leq(s(host(sK8)),X0) ),
inference(superposition,[status(thm)],[c_203477,c_204714]) ).
tcf(c_204735,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(host(sK8)))
| ~ leq(s(host(sK8)),X0) ),
inference(superposition,[status(thm)],[c_203802,c_204714]) ).
tcf(c_204736,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(host(sK8)))
| ~ leq(s(host(sK8)),X0) ),
inference(superposition,[status(thm)],[c_203667,c_204714]) ).
tcf(c_204737,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(s(host(sK8)))),X0) ),
inference(superposition,[status(thm)],[c_201592,c_204714]) ).
tcf(c_204738,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(s(s(host(sK8))))),X0) ),
inference(superposition,[status(thm)],[c_201706,c_204714]) ).
tcf(c_204739,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(s(s(s(host(sK8)))))),X0) ),
inference(superposition,[status(thm)],[c_201871,c_204714]) ).
tcf(c_204740,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_202052,c_204714]) ).
tcf(c_204741,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(s(s(s(s(host(sK8))))))),X0) ),
inference(superposition,[status(thm)],[c_203745,c_204714]) ).
tcf(c_204742,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_203556,c_204714]) ).
tcf(c_204743,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_203095,c_204714]) ).
tcf(c_204744,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_202436,c_204714]) ).
tcf(c_204745,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_202439,c_204714]) ).
tcf(c_204746,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,host(sK8))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_204429,c_204714]) ).
tcf(c_204747,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_203973,c_204714]) ).
tcf(c_204770,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(light_normalisation,[status(thm)],[c_204741,c_202443]) ).
tcf(c_204785,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_110,c_204770]) ).
tcf(c_204786,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_203736,c_204770]) ).
tcf(c_204787,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_113,c_204770]) ).
tcf(c_204788,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_201841,c_204770]) ).
tcf(c_204789,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_116,c_204770]) ).
tcf(c_204790,plain,
leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))),
inference(superposition,[status(thm)],[c_201161,c_204770]) ).
tcf(c_204791,plain,
( leq(nbr_proc,host(sK8))
| ( s(s(s(s(s(nbr_proc))))) = nbr_proc )
| ~ leq(s(s(s(s(s(nbr_proc))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204770]) ).
tcf(c_204794,plain,
leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc)))))))),
inference(superposition,[status(thm)],[c_201592,c_204770]) ).
tcf(c_204795,plain,
leq(nbr_proc,s(s(s(s(s(s(s(s(nbr_proc))))))))),
inference(superposition,[status(thm)],[c_201706,c_204770]) ).
tcf(c_204796,plain,
leq(nbr_proc,s(s(s(s(s(s(s(s(s(nbr_proc)))))))))),
inference(superposition,[status(thm)],[c_201871,c_204770]) ).
tcf(c_204797,plain,
leq(nbr_proc,s(s(s(s(s(s(s(s(s(s(nbr_proc))))))))))),
inference(superposition,[status(thm)],[c_203745,c_204770]) ).
tcf(c_204813,plain,
( ( s(s(s(s(s(nbr_proc))))) = nbr_proc )
| ~ leq(s(s(s(s(s(nbr_proc))))),nbr_proc) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204791,c_202441]) ).
tcf(c_204891,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),X1)
| ~ leq(nbr_proc,X1)
| ~ leq(X0,host(sK8)) ),
inference(light_normalisation,[status(thm)],[c_202179,c_202369]) ).
tcf(c_204901,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(s(host(sK8)),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202433,c_204891]) ).
tcf(c_204904,plain,
! [X0: $i] :
( leq(s(host(sK8)),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_111,c_204891]) ).
tcf(c_204907,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),X1)
| ( X0 = nbr_proc )
| ~ leq(nbr_proc,X1)
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204891]) ).
tcf(c_204908,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203802,c_204891]) ).
tcf(c_204909,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203667,c_204891]) ).
tcf(c_204910,plain,
! [X0: $i] :
( leq(s(sK10(sK6,sK8)),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_201751,c_204891]) ).
tcf(c_204911,plain,
! [X0: $i] :
( leq(s(sK10(sK7,sK8)),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_201759,c_204891]) ).
tcf(c_204939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4)) = snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),
inference(superposition,[status(thm)],[c_204394,c_135]) ).
tcf(c_204940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3) != q_nil,
inference(superposition,[status(thm)],[c_204394,c_137]) ).
tcf(c_204941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3)),
inference(superposition,[status(thm)],[c_204394,c_101]) ).
tcf(c_204942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( elem(X0,snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4))
| ~ elem(X0,snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4)) ),
inference(superposition,[status(thm)],[c_204394,c_102]) ).
tcf(c_204943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( elem(X0,snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4)) ),
inference(superposition,[status(thm)],[c_204394,c_103]) ).
tcf(c_204944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : elem(X0,snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X0)),
inference(superposition,[status(thm)],[c_204394,c_203176]) ).
tcf(c_204971,plain,
! [X0: $i] : ~ leq(s(s(s(s(s(s(X0)))))),X0),
inference(superposition,[status(thm)],[c_113,c_201873]) ).
tcf(c_204974,plain,
( ( s(s(s(s(s(host(sK8)))))) = nbr_proc )
| ~ leq(s(s(s(s(s(host(sK8)))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_201873]) ).
tcf(c_204975,plain,
leq(zero,s(s(s(s(s(s(host(sK8)))))))),
inference(superposition,[status(thm)],[c_203802,c_201873]) ).
tcf(c_204982,plain,
~ leq(s(s(s(s(nbr_proc)))),host(sK8)),
inference(superposition,[status(thm)],[c_202443,c_201873]) ).
tcf(c_204984,plain,
( ( s(s(s(s(nbr_proc)))) = nbr_proc )
| ~ leq(s(s(s(s(nbr_proc)))),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_204974,c_202443]) ).
tcf(c_204989,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_202433,c_202051]) ).
tcf(c_204992,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_110,c_202051]) ).
tcf(c_204993,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_203736,c_202051]) ).
tcf(c_204994,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X1))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_202051]) ).
tcf(c_204996,plain,
! [X0: $i] : leq(s(zero),s(host(X0))),
inference(superposition,[status(thm)],[c_201161,c_202051]) ).
tcf(c_204997,plain,
! [X0: $i] :
( leq(s(zero),host(sK2))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_203644,c_202051]) ).
tcf(c_204998,plain,
( leq(s(zero),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_201621,c_202051]) ).
tcf(c_204999,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| ( host(X0) = nbr_proc )
| ~ leq(host(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202051]) ).
tcf(c_205001,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_203667,c_202051]) ).
tcf(c_205002,plain,
! [X0: $i] : leq(s(zero),s(s(host(X0)))),
inference(superposition,[status(thm)],[c_201592,c_202051]) ).
tcf(c_205003,plain,
! [X0: $i] : leq(s(zero),s(s(s(host(X0))))),
inference(superposition,[status(thm)],[c_201706,c_202051]) ).
tcf(c_205004,plain,
! [X0: $i] : leq(s(zero),s(s(s(s(host(X0)))))),
inference(superposition,[status(thm)],[c_201871,c_202051]) ).
tcf(c_205006,plain,
! [X0: $i] : leq(s(zero),s(s(s(s(s(host(X0))))))),
inference(superposition,[status(thm)],[c_203745,c_202051]) ).
tcf(c_205008,plain,
leq(s(zero),s(s(s(nbr_proc)))),
inference(superposition,[status(thm)],[c_203095,c_202051]) ).
tcf(c_205009,plain,
leq(s(zero),s(s(nbr_proc))),
inference(superposition,[status(thm)],[c_202436,c_202051]) ).
tcf(c_205010,plain,
leq(s(zero),s(nbr_proc)),
inference(superposition,[status(thm)],[c_202439,c_202051]) ).
tcf(c_205038,plain,
( ( s(zero) = s(nbr_proc) )
| ~ leq(s(nbr_proc),s(zero)) ),
inference(superposition,[status(thm)],[c_205010,c_109]) ).
tcf(c_205039,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_205010,c_106]) ).
tcf(c_205061,plain,
! [X0: $i] :
( ( s(host(X0)) = s(zero) )
| ~ leq(s(host(X0)),s(zero)) ),
inference(superposition,[status(thm)],[c_204996,c_109]) ).
tcf(c_205062,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_204996,c_106]) ).
tcf(c_205086,plain,
( ( s(s(nbr_proc)) = s(zero) )
| ~ leq(s(s(nbr_proc)),s(zero)) ),
inference(superposition,[status(thm)],[c_205009,c_109]) ).
tcf(c_205087,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_205009,c_106]) ).
tcf(c_205099,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(zero) = X0 )
| ~ leq(X0,s(zero)) ),
inference(superposition,[status(thm)],[c_204989,c_109]) ).
tcf(c_205100,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204989,c_106]) ).
tcf(c_205101,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(s(X0),nbr_proc)
| ( s(X0) = s(zero) ) ),
inference(superposition,[status(thm)],[c_204989,c_114]) ).
tcf(c_205107,plain,
( leq(sK10(sK6,sK8),nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_204989,c_201931]) ).
tcf(c_205108,plain,
( leq(sK10(sK7,sK8),nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_204989,c_201932]) ).
tcf(c_205150,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(host(sK8),X0)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_110,c_202057]) ).
tcf(c_205151,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203736,c_202057]) ).
tcf(c_205152,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) )
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_113,c_202057]) ).
tcf(c_205153,plain,
( leq(host(sK8),nbr_proc)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_120,c_202057]) ).
tcf(c_205154,plain,
( leq(host(sK8),s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_201161,c_202057]) ).
tcf(c_205157,plain,
( leq(zero,s(host(sK2)))
| leq(host(sK8),host(sK8))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203802,c_202057]) ).
tcf(c_205158,plain,
( leq(nbr_proc,s(host(sK2)))
| leq(host(sK8),host(sK8))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203667,c_202057]) ).
tcf(c_205159,plain,
( leq(host(sK8),s(s(host(sK2))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_201592,c_202057]) ).
tcf(c_205160,plain,
( leq(host(sK8),s(s(s(host(sK2)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_201706,c_202057]) ).
tcf(c_205161,plain,
( leq(host(sK8),s(s(s(s(host(sK2))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_201871,c_202057]) ).
tcf(c_205162,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( host(sK2) = host(sK7) )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202052,c_202057]) ).
tcf(c_205163,plain,
( leq(host(sK8),s(s(s(s(s(host(sK2)))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203745,c_202057]) ).
tcf(c_205164,plain,
( leq(zero,host(sK2))
| leq(host(sK8),nbr_proc)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203556,c_202057]) ).
tcf(c_205165,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(host(sK8),host(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_204429,c_202057]) ).
tcf(c_205325,plain,
( leq(s(zero),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_110,c_202347]) ).
tcf(c_205327,plain,
( leq(zero,sK10(sK6,sK8))
| ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203736,c_202347]) ).
tcf(c_205328,plain,
( ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),zero) ),
inference(superposition,[status(thm)],[c_113,c_202347]) ).
tcf(c_205380,plain,
( leq(s(zero),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_110,c_202348]) ).
tcf(c_205382,plain,
( leq(zero,sK10(sK7,sK8))
| ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203736,c_202348]) ).
tcf(c_205383,plain,
( ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),zero) ),
inference(superposition,[status(thm)],[c_113,c_202348]) ).
tcf(c_205400,plain,
( leq(nbr_proc,host(sK6))
| ~ setIn(sK6,alive)
| ~ setIn(host(sK2),index(down,nbr_proc)) ),
inference(superposition,[status(thm)],[c_202369,c_202414]) ).
tcf(c_205401,plain,
( leq(nbr_proc,host(sK3))
| ~ setIn(sK3,alive)
| ~ setIn(host(sK2),index(down,nbr_proc)) ),
inference(superposition,[status(thm)],[c_202368,c_202414]) ).
tcf(c_205402,plain,
( leq(nbr_proc,nbr_proc)
| ~ setIn(sK3,alive)
| ~ setIn(host(sK2),index(down,nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_205401,c_202368]) ).
tcf(c_205403,plain,
( leq(nbr_proc,nbr_proc)
| ~ setIn(sK6,alive)
| ~ setIn(host(sK2),index(down,nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_205400,c_202369]) ).
tcf(c_205412,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),X0) ),
inference(superposition,[status(thm)],[c_201951,c_204714]) ).
tcf(c_205413,plain,
( leq(nbr_proc,s(sK10(sK6,sK8)))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_202428]) ).
tcf(c_205414,plain,
( ( sK10(sK6,sK8) = host(sK7) )
| ( sK10(sK6,sK8) = host(sK8) )
| ~ iPr_def_14
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),host(sK8)) ),
inference(superposition,[status(thm)],[c_201951,c_109]) ).
tcf(c_205415,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_201951,c_106]) ).
tcf(c_205416,plain,
( ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_201741]) ).
tcf(c_205417,plain,
( leq(s(zero),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_202051]) ).
tcf(c_205418,plain,
( leq(zero,sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_203764]) ).
tcf(c_205458,plain,
( iPr_def_10
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_2574,c_205416]) ).
tcf(c_205467,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK2))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_204429]) ).
tcf(c_205468,plain,
! [X0: $i] :
( leq(host(sK2),X0)
| ( host(sK2) = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204701,c_202052]) ).
tcf(c_205469,plain,
! [X0: $i,X1: $i] :
( leq(X0,sK7)
| ( host(sK2) = nbr_proc )
| ~ elem(m_Down(sK7),X1)
| ~ ordered(cons(m_Halt(X0),X1))
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_97]) ).
tcf(c_205470,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(host(sK7),index(down,host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_202841]) ).
tcf(c_205471,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(host(sK7),index(down,host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_202507]) ).
tcf(c_205472,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_202842]) ).
tcf(c_205473,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_202508]) ).
tcf(c_205474,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(host(sK7),index(down,host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_201797]) ).
tcf(c_205475,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_201678]) ).
tcf(c_205476,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK7))
| ~ elem(m_Down(X2),queue(host(sK7)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(sK9(X2,sK7),index(down,host(sK7)))
| ( host(X1) != host(sK7) )
| ( index(status,host(sK2)) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_204701,c_82]) ).
tcf(c_205477,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK7))
| ~ elem(m_Down(X1),queue(host(sK7)))
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ( host(X2) != host(sK7) )
| ( sK9(X1,sK7) != host(X1) )
| ( index(status,host(sK2)) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_204701,c_83]) ).
tcf(c_205478,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK7))
| ~ elem(m_Down(X2),queue(host(sK7)))
| ~ leq(host(sK7),sK9(X2,sK7))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != host(sK7) )
| ( index(status,host(sK2)) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_204701,c_84]) ).
tcf(c_205479,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK9(X2,sK7))
| ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK7))
| ~ elem(m_Down(X2),queue(host(sK7)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != host(sK7) )
| ( index(status,host(sK2)) != elec_1 )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_204701,c_85]) ).
tcf(c_205480,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ iPr_def_14
| ~ setIn(sK7,alive)
| ~ leq(nbr_proc,s(host(sK7)))
| ~ elem(m_Down(X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7)))
| ~ setIn(sK10(X1,sK7),index(down,host(sK7)))
| ( s(host(sK7)) != host(X0) )
| ( index(status,host(sK2)) != elec_1 ) ),
inference(superposition,[status(thm)],[c_204701,c_2573]) ).
tcf(c_205481,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ iPr_def_13
| ~ setIn(sK7,alive)
| ~ leq(nbr_proc,s(host(sK7)))
| ~ elem(m_Down(X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7)))
| ( s(host(sK7)) != host(X1) )
| ( sK10(X0,sK7) != host(X0) )
| ( index(status,host(sK2)) != elec_1 ) ),
inference(superposition,[status(thm)],[c_204701,c_2571]) ).
tcf(c_205482,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ iPr_def_12
| ~ setIn(sK7,alive)
| ~ leq(nbr_proc,s(host(sK7)))
| ~ elem(m_Down(X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7)))
| ~ leq(host(sK7),sK10(X1,sK7))
| ( s(host(sK7)) != host(X0) )
| ( index(status,host(sK2)) != elec_1 ) ),
inference(superposition,[status(thm)],[c_204701,c_2569]) ).
tcf(c_205483,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK10(X1,sK7))
| ( host(sK2) = nbr_proc )
| ~ iPr_def_11
| ~ setIn(sK7,alive)
| ~ leq(nbr_proc,s(host(sK7)))
| ~ elem(m_Down(X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7)))
| ( s(host(sK7)) != host(X0) )
| ( index(status,host(sK2)) != elec_1 ) ),
inference(superposition,[status(thm)],[c_204701,c_2567]) ).
tcf(c_205484,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X1) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(sK7)))
| ( host(X1) != host(X2) )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_79]) ).
tcf(c_205485,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X1) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X1) != host(X2) )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_78]) ).
tcf(c_205486,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK7) )
| ( index(ldr,host(sK2)) != host(sK2) )
| ( index(status,host(sK7)) != norm ) ),
inference(superposition,[status(thm)],[c_204701,c_75]) ).
tcf(c_205487,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK7)),host(X1))
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK7) )
| ( index(status,host(sK2)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_204701,c_74]) ).
tcf(c_205489,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_68]) ).
tcf(c_205490,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ leq(host(sK7),host(X0))
| ~ elem(m_Ldr(X0),queue(host(sK2))) ),
inference(superposition,[status(thm)],[c_204701,c_67]) ).
tcf(c_205491,plain,
( leq(nbr_proc,host(sK7))
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(host(sK2),index(down,host(sK2))) ),
inference(superposition,[status(thm)],[c_204701,c_202414]) ).
tcf(c_205492,plain,
( leq(s(zero),s(host(sK2)))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_204996]) ).
tcf(c_205493,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( host(sK2) = nbr_proc )
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_204701,c_202051]) ).
tcf(c_205495,plain,
( leq(zero,s(s(host(sK2))))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_204438]) ).
tcf(c_205496,plain,
( leq(zero,s(host(sK2)))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_204433]) ).
tcf(c_205497,plain,
! [X0: $i] :
( leq(zero,X0)
| ( host(sK2) = nbr_proc )
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_204701,c_203764]) ).
tcf(c_205499,plain,
( leq(host(sK2),host(sK2))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(sK7),sK0) ),
inference(superposition,[status(thm)],[c_204701,c_203644]) ).
tcf(c_205501,plain,
( leq(zero,host(sK2))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_203739]) ).
tcf(c_205502,plain,
( ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(sK7),sK0)
| ~ leq(host(sK2),host(sK2)) ),
inference(superposition,[status(thm)],[c_204701,c_203633]) ).
tcf(c_205503,plain,
! [X0: $i,X1: $i] :
( leq(sK7,X0)
| ( host(sK2) = nbr_proc )
| ~ elem(m_Down(X0),X1)
| ~ ordered(cons(m_Halt(sK7),X1))
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_97]) ).
tcf(c_205504,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) != host(sK7) )
| ( s(host(sK2)) != host(X0) ) ),
inference(superposition,[status(thm)],[c_204701,c_105]) ).
tcf(c_205505,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK7)))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_202841]) ).
tcf(c_205506,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK7)))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_202507]) ).
tcf(c_205507,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK7)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_202842]) ).
tcf(c_205508,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK7)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_202508]) ).
tcf(c_205509,plain,
( leq(nbr_proc,host(sK7))
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ elem(m_Down(sK2),queue(host(sK2))) ),
inference(superposition,[status(thm)],[c_204701,c_203160]) ).
tcf(c_205514,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ( host(index(elid,host(sK7))) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(index(elid,host(sK7)),alive)
| ~ elem(m_Down(X0),queue(host(sK7)))
| ( index(status,host(sK7)) != wait )
| ( host(index(elid,host(sK7))) != host(X0) )
| ( index(ldr,host(index(elid,host(sK2)))) != host(index(elid,host(sK2))) )
| ( index(status,host(index(elid,host(sK7)))) != norm ) ),
inference(superposition,[status(thm)],[c_204701,c_201558]) ).
tcf(c_205516,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ leq(host(sK7),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK7,X0),queue(host(sK7)))
| ~ setIn(sK9(X1,sK8),index(down,host(sK8)))
| ( host(X0) != host(sK8) )
| ( index(status,host(sK2)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_204701,c_201511]) ).
tcf(c_205517,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ leq(host(sK7),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK7,X1),queue(host(sK7)))
| ( host(X1) != host(sK8) )
| ( sK9(X0,sK8) != host(X0) )
| ( index(status,host(sK2)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_204701,c_201486]) ).
tcf(c_205520,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ leq(host(sK7),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X1,sK8))
| ~ elem(m_Ack(sK7,X0),queue(host(sK7)))
| ( host(X0) != host(sK8) )
| ( index(status,host(sK2)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_204701,c_201459]) ).
tcf(c_205521,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK9(X1,sK8))
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ leq(host(sK7),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK7,X0),queue(host(sK7)))
| ( host(X0) != host(sK8) )
| ( index(status,host(sK2)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_204701,c_201434]) ).
tcf(c_205522,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X1),queue(host(sK7)))
| ~ setIn(host(X0),index(down,host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_201797]) ).
tcf(c_205523,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_201678]) ).
tcf(c_205524,plain,
( ( sK2 = sK7 )
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive) ),
inference(superposition,[status(thm)],[c_204701,c_201573]) ).
tcf(c_205526,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(sK7)))
| ( host(X0) != host(X1) )
| ( index(status,host(sK7)) != wait )
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X0)) != norm )
| ( host(index(elid,host(sK2))) != host(X0) ) ),
inference(superposition,[status(thm)],[c_204701,c_81]) ).
tcf(c_205527,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != host(sK7) )
| ( index(ldr,host(sK2)) != host(sK2) )
| ( index(status,host(sK7)) != norm )
| ( index(ldr,host(X0)) != host(sK7) )
| ( index(status,host(X0)) != norm ) ),
inference(superposition,[status(thm)],[c_204701,c_80]) ).
tcf(c_205528,plain,
( ( host(sK2) = nbr_proc )
| ~ elem(m_Down(sK7),queue(host(sK2))) ),
inference(superposition,[status(thm)],[c_204701,c_201109]) ).
tcf(c_205529,plain,
( leq(zero,s(s(s(host(sK2)))))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_66876]) ).
tcf(c_205530,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ( index(ldr,host(sK2)) != host(sK2) )
| ( index(status,host(sK7)) != norm )
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X0)) != norm ) ),
inference(superposition,[status(thm)],[c_204701,c_76]) ).
tcf(c_205532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(X1),index(down,host(X2)))
| ( host(X2) != host(sK2) )
| ( host(X0) != host(X1) ) ),
inference(superposition,[status(thm)],[c_204701,c_79]) ).
tcf(c_205533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X2)))
| ( host(X2) != host(sK2) )
| ( host(X0) != host(X1) ) ),
inference(superposition,[status(thm)],[c_204701,c_78]) ).
tcf(c_205534,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK7),index(down,host(X0)))
| ( index(ldr,host(sK2)) != host(sK2) )
| ( index(status,host(sK7)) != norm ) ),
inference(superposition,[status(thm)],[c_204701,c_73]) ).
tcf(c_205535,plain,
! [X0: $i] :
( leq(index(pendack,host(sK7)),host(X0))
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK7),index(down,host(X0)))
| ( index(status,host(sK2)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_204701,c_72]) ).
tcf(c_205536,plain,
( ( host(sK2) = nbr_proc )
| ~ iPr_def_10
| ~ setIn(sK7,alive)
| ( index(ldr,host(sK2)) != host(sK2) )
| ( index(status,host(sK7)) != norm ) ),
inference(superposition,[status(thm)],[c_204701,c_2566]) ).
tcf(c_205537,plain,
( ( host(sK2) = nbr_proc )
| ( index(elid,host(sK7)) = sK7 )
| ~ setIn(sK7,alive)
| ( index(status,host(sK2)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_204701,c_71]) ).
tcf(c_205538,plain,
( ( host(sK2) = nbr_proc )
| ( index(elid,host(sK7)) = sK7 )
| ~ setIn(sK7,alive)
| ( index(status,host(sK2)) != elec_1 ) ),
inference(superposition,[status(thm)],[c_204701,c_70]) ).
tcf(c_205539,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_69]) ).
tcf(c_205540,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ elem(m_Down(X0),queue(host(sK7)))
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_68]) ).
tcf(c_205541,plain,
( leq(s(zero),host(sK2))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_119]) ).
tcf(c_205542,plain,
( leq(host(sK2),nbr_proc)
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_120]) ).
tcf(c_205563,plain,
( ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(sK7),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205502,c_111]) ).
tcf(c_205587,plain,
( ( host(sK2) = nbr_proc )
| ( index(elid,host(sK7)) = sK7 )
| ~ setIn(sK7,alive)
| ( elec_1 != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_205538,c_64]) ).
tcf(c_205588,plain,
( ( host(sK2) = nbr_proc )
| ( index(elid,host(sK7)) = sK7 )
| ~ setIn(sK7,alive) ),
inference(ground_joinability,[status(thm)],[c_205537,c_64]) ).
tcf(c_205631,plain,
! [X0: $i] :
( leq(index(pendack,host(sK7)),host(X0))
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK7),index(down,host(X0))) ),
inference(ground_joinability,[status(thm)],[c_205535,c_64]) ).
tcf(c_205643,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK7)),host(X1))
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK7) ) ),
inference(ground_joinability,[status(thm)],[c_205487,c_64]) ).
tcf(c_205761,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK9(X1,sK8))
| ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ leq(host(sK7),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK7,X0),queue(host(sK7)))
| ( host(X0) != host(sK8) ) ),
inference(ground_joinability,[status(thm)],[c_205521,c_64]) ).
tcf(c_205769,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ leq(host(sK7),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X1,sK8))
| ~ elem(m_Ack(sK7,X0),queue(host(sK7)))
| ( host(X0) != host(sK8) ) ),
inference(ground_joinability,[status(thm)],[c_205520,c_64]) ).
tcf(c_205777,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ leq(host(sK7),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK7,X1),queue(host(sK7)))
| ( host(X1) != host(sK8) )
| ( sK9(X0,sK8) != host(X0) ) ),
inference(ground_joinability,[status(thm)],[c_205517,c_64]) ).
tcf(c_205785,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK10(X1,sK7))
| ( host(sK2) = nbr_proc )
| ~ iPr_def_11
| ~ setIn(sK7,alive)
| ~ leq(nbr_proc,s(host(sK7)))
| ~ elem(m_Down(X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7)))
| ( elec_1 != elec_2 )
| ( s(host(sK7)) != host(X0) ) ),
inference(light_normalisation,[status(thm)],[c_205483,c_64]) ).
tcf(c_205786,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive)
| ~ leq(host(sK7),host(sK8))
| ~ elem(m_Down(X1),queue(host(sK8)))
| ~ elem(m_Ack(sK7,X0),queue(host(sK7)))
| ~ setIn(sK9(X1,sK8),index(down,host(sK8)))
| ( host(X0) != host(sK8) ) ),
inference(ground_joinability,[status(thm)],[c_205516,c_64]) ).
tcf(c_205794,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ iPr_def_12
| ~ setIn(sK7,alive)
| ~ leq(nbr_proc,s(host(sK7)))
| ~ elem(m_Down(X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7)))
| ~ leq(host(sK7),sK10(X1,sK7))
| ( elec_1 != elec_2 )
| ( s(host(sK7)) != host(X0) ) ),
inference(light_normalisation,[status(thm)],[c_205482,c_64]) ).
tcf(c_205795,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ iPr_def_13
| ~ setIn(sK7,alive)
| ~ leq(nbr_proc,s(host(sK7)))
| ~ elem(m_Down(X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7)))
| ( elec_1 != elec_2 )
| ( s(host(sK7)) != host(X1) )
| ( sK10(X0,sK7) != host(X0) ) ),
inference(light_normalisation,[status(thm)],[c_205481,c_64]) ).
tcf(c_205796,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ~ iPr_def_14
| ~ setIn(sK7,alive)
| ~ leq(nbr_proc,s(host(sK7)))
| ~ elem(m_Down(X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7)))
| ~ setIn(sK10(X1,sK7),index(down,host(sK7)))
| ( elec_1 != elec_2 )
| ( s(host(sK7)) != host(X0) ) ),
inference(light_normalisation,[status(thm)],[c_205480,c_64]) ).
tcf(c_205797,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK9(X2,sK7))
| ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK7))
| ~ elem(m_Down(X2),queue(host(sK7)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( elec_1 != elec_2 )
| ( host(X1) != host(sK7) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_205479,c_64]) ).
tcf(c_205798,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK7))
| ~ elem(m_Down(X2),queue(host(sK7)))
| ~ leq(host(sK7),sK9(X2,sK7))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( elec_1 != elec_2 )
| ( host(X1) != host(sK7) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_205478,c_64]) ).
tcf(c_205799,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK7))
| ~ elem(m_Down(X1),queue(host(sK7)))
| ~ elem(m_Ack(X0,X2),queue(host(X0)))
| ( elec_1 != elec_2 )
| ( host(X2) != host(sK7) )
| ( sK9(X1,sK7) != host(X1) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_205477,c_64]) ).
tcf(c_205800,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK7))
| ~ elem(m_Down(X2),queue(host(sK7)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(sK9(X2,sK7),index(down,host(sK7)))
| ( elec_1 != elec_2 )
| ( host(X1) != host(sK7) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(light_normalisation,[status(thm)],[c_205476,c_64]) ).
tcf(c_205811,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(sK7)))
| ( host(X0) != host(sK2) )
| ( host(X0) != host(X1) )
| ( index(status,host(sK7)) != wait )
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X0)) != norm ) ),
inference(light_normalisation,[status(thm)],[c_205526,c_201156]) ).
tcf(c_205822,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ( host(index(elid,host(sK7))) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(index(elid,host(sK7)),alive)
| ~ elem(m_Down(X0),queue(host(sK7)))
| ( index(ldr,host(sK2)) != host(sK2) )
| ( index(status,host(sK7)) != wait )
| ( host(index(elid,host(sK7))) != host(X0) )
| ( index(status,host(index(elid,host(sK7)))) != norm ) ),
inference(light_normalisation,[status(thm)],[c_205514,c_201156]) ).
tcf(c_206175,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(s(zero),X0)
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_204992]) ).
tcf(c_206178,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| ( s(zero) = X0 )
| ~ leq(X0,s(zero)) ),
inference(superposition,[status(thm)],[c_204992,c_109]) ).
tcf(c_206179,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X1)
| leq(X0,host(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204992,c_106]) ).
tcf(c_206180,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(s(X0),host(X1))
| ( s(X0) = s(zero) ) ),
inference(superposition,[status(thm)],[c_204992,c_114]) ).
tcf(c_206181,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_204992,c_115]) ).
tcf(c_206186,plain,
! [X0: $i] :
( leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),host(X0))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_204992,c_201931]) ).
tcf(c_206187,plain,
! [X0: $i] :
( leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),host(X0))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_204992,c_201932]) ).
tcf(c_206189,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_204992,c_202430]) ).
tcf(c_206190,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(s(zero),host(sK8))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_204992,c_204714]) ).
tcf(c_206192,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ( host(X0) = X1 )
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_204992,c_109]) ).
tcf(c_206193,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(s(zero),X2)
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_204992,c_106]) ).
tcf(c_206196,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204992,c_204891]) ).
tcf(c_206197,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_204992,c_202427]) ).
tcf(c_206216,plain,
! [X0: $i] :
( leq(s(zero),host(sK2))
| leq(host(sK8),host(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_204992,c_202057]) ).
tcf(c_206217,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| leq(s(zero),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204992,c_204770]) ).
tcf(c_206319,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),host(sK2))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_206181]) ).
tcf(c_206322,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ( host(X0) = s(X1) )
| ~ leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_206181,c_109]) ).
tcf(c_206323,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),X1)
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_206181,c_106]) ).
tcf(c_206325,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(s(X1)),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206181,c_204891]) ).
tcf(c_206326,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_206181,c_202427]) ).
tcf(c_206375,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_110,c_202059]) ).
tcf(c_206376,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_203736,c_202059]) ).
tcf(c_206377,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_113,c_202059]) ).
tcf(c_206381,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( s(s(X0)) = nbr_proc )
| ~ leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202059]) ).
tcf(c_206382,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_203802,c_202059]) ).
tcf(c_206383,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_203667,c_202059]) ).
tcf(c_206387,plain,
! [X0: $i] : leq(X0,s(s(s(s(s(s(s(X0)))))))),
inference(superposition,[status(thm)],[c_203745,c_202059]) ).
tcf(c_206389,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_203668,c_202059]) ).
tcf(c_206390,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_203556,c_202059]) ).
tcf(c_206391,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_204992,c_202059]) ).
tcf(c_206392,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_204429,c_202059]) ).
tcf(c_206394,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_203973,c_202059]) ).
tcf(c_206499,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_202443,c_206375]) ).
tcf(c_206500,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,host(sK8))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_206375,c_204714]) ).
tcf(c_206502,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( s(s(X0)) = X1 )
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206375,c_109]) ).
tcf(c_206503,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206375,c_106]) ).
tcf(c_206504,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(X0))
| ( s(s(X0)) = X1 ) ),
inference(superposition,[status(thm)],[c_206375,c_114]) ).
tcf(c_206515,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(X0)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206375,c_202059]) ).
tcf(c_206516,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206375,c_202063]) ).
tcf(c_206517,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206375,c_202064]) ).
tcf(c_206521,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(host(sK8),s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_206375,c_202057]) ).
tcf(c_206522,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_206375,c_204770]) ).
tcf(c_206596,plain,
! [X0: $i] :
( ( s(s(host(X0))) = s(zero) )
| ~ leq(s(s(host(X0))),s(zero)) ),
inference(superposition,[status(thm)],[c_205002,c_109]) ).
tcf(c_206597,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_205002,c_106]) ).
tcf(c_206605,plain,
( ( s(s(s(nbr_proc))) = s(zero) )
| ~ leq(s(s(s(nbr_proc))),s(zero)) ),
inference(superposition,[status(thm)],[c_205008,c_109]) ).
tcf(c_206606,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_205008,c_106]) ).
tcf(c_206614,plain,
( ( s(s(s(s(s(nbr_proc))))) = zero )
| ~ leq(s(s(s(s(s(nbr_proc))))),zero) ),
inference(superposition,[status(thm)],[c_203981,c_109]) ).
tcf(c_206615,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_203981,c_106]) ).
tcf(c_206652,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(host(sK8)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_204008,c_204714]) ).
tcf(c_206653,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_204008,c_202428]) ).
tcf(c_206654,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| ( s(X0) = X1 )
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_204008,c_109]) ).
tcf(c_206655,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,s(X2))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_204008,c_106]) ).
tcf(c_206665,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_204008,c_202051]) ).
tcf(c_206666,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_204008,c_203764]) ).
tcf(c_206667,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_204008,c_202059]) ).
tcf(c_206668,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204008,c_202063]) ).
tcf(c_206669,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204008,c_202064]) ).
tcf(c_206670,plain,
( leq(zero,s(sK10(sK6,sK8)))
| ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204008,c_202347]) ).
tcf(c_206671,plain,
( leq(zero,s(sK10(sK7,sK8)))
| ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204008,c_202348]) ).
tcf(c_206674,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_204008,c_202066]) ).
tcf(c_206675,plain,
! [X0: $i] :
( leq(X0,s(host(sK2)))
| leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_204008,c_202057]) ).
tcf(c_206676,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_204008,c_204770]) ).
tcf(c_206687,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(light_normalisation,[status(thm)],[c_206653,c_202443]) ).
tcf(c_206704,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| ~ leq(s(s(X0)),X1) ),
inference(light_normalisation,[status(thm)],[c_206652,c_202443]) ).
tcf(c_206819,plain,
( iPr_def_10
| ( sK10(sK6,sK8) = host(sK7) ) ),
inference(global_subsumption_just,[status(thm)],[c_205458,c_10279]) ).
tcf(c_206825,plain,
( ( host(sK2) = nbr_proc )
| ~ setIn(sK7,alive) ),
inference(global_subsumption_just,[status(thm)],[c_205588,c_31032]) ).
tcf(c_206837,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0)
| ~ leq(host(sK7),host(X0)) ),
inference(superposition,[status(thm)],[c_201832,c_205490]) ).
tcf(c_206847,plain,
( ( host(sK2) = nbr_proc )
| ~ elem(m_Down(sK7),queue(host(sK7))) ),
inference(superposition,[status(thm)],[c_204701,c_205489]) ).
tcf(c_206860,plain,
( ( host(sK2) = nbr_proc )
| ~ elem(m_Down(sK2),queue(host(sK7))) ),
inference(equality_resolution,[status(thm)],[c_205540]) ).
tcf(c_206869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5)) = snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),
inference(superposition,[status(thm)],[c_204939,c_135]) ).
tcf(c_206870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4) != q_nil,
inference(superposition,[status(thm)],[c_204939,c_137]) ).
tcf(c_206871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4)),
inference(superposition,[status(thm)],[c_204939,c_101]) ).
tcf(c_206872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5)) ),
inference(superposition,[status(thm)],[c_204939,c_102]) ).
tcf(c_206873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5)) ),
inference(superposition,[status(thm)],[c_204939,c_103]) ).
tcf(c_206874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X0)),
inference(superposition,[status(thm)],[c_204939,c_203176]) ).
tcf(c_206886,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_110,c_202067]) ).
tcf(c_206889,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_113,c_202067]) ).
tcf(c_206893,plain,
( leq(zero,host(sK8))
| ( s(s(nbr_proc)) = nbr_proc )
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202067]) ).
tcf(c_206895,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_203667,c_202067]) ).
tcf(c_206899,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_204008,c_202067]) ).
tcf(c_206900,plain,
leq(zero,s(s(s(s(s(s(s(nbr_proc)))))))),
inference(superposition,[status(thm)],[c_203745,c_202067]) ).
tcf(c_206907,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206375,c_202067]) ).
tcf(c_206921,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_206886,c_204714]) ).
tcf(c_206923,plain,
! [X0: $i] :
( leq(zero,X0)
| ( s(s(nbr_proc)) = X0 )
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_206886,c_109]) ).
tcf(c_206924,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_206886,c_106]) ).
tcf(c_206973,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_203736,c_203090]) ).
tcf(c_206974,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_113,c_203090]) ).
tcf(c_206976,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_116,c_203090]) ).
tcf(c_206978,plain,
( leq(host(sK8),host(sK8))
| ( s(nbr_proc) = nbr_proc )
| ~ leq(s(nbr_proc),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_203090]) ).
tcf(c_206980,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(host(sK8),host(sK8)) ),
inference(superposition,[status(thm)],[c_203667,c_203090]) ).
tcf(c_206983,plain,
leq(host(sK8),s(s(s(s(s(nbr_proc)))))),
inference(superposition,[status(thm)],[c_201871,c_203090]) ).
tcf(c_206984,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_204008,c_203090]) ).
tcf(c_206985,plain,
leq(host(sK8),s(s(s(s(s(s(nbr_proc))))))),
inference(superposition,[status(thm)],[c_203745,c_203090]) ).
tcf(c_206992,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206375,c_203090]) ).
tcf(c_207016,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(X0) = zero )
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_204010,c_109]) ).
tcf(c_207017,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,s(nbr_proc))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_204010,c_106]) ).
tcf(c_207019,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(host(sK8)))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_204010,c_204714]) ).
tcf(c_207020,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(zero,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_204010,c_202428]) ).
tcf(c_207021,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ( s(nbr_proc) = X0 )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_204010,c_109]) ).
tcf(c_207022,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_204010,c_106]) ).
tcf(c_207034,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_204010,c_202059]) ).
tcf(c_207046,plain,
( leq(zero,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(light_normalisation,[status(thm)],[c_207020,c_202443]) ).
tcf(c_207056,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X0)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(light_normalisation,[status(thm)],[c_207019,c_202443]) ).
tcf(c_207097,plain,
( ( s(sK10(sK6,sK8)) = nbr_proc )
| ~ iPr_def_12
| ~ leq(nbr_proc,s(sK10(sK6,sK8))) ),
inference(superposition,[status(thm)],[c_204048,c_109]) ).
tcf(c_207108,plain,
( ( s(sK10(sK7,sK8)) = nbr_proc )
| ~ iPr_def_12
| ~ leq(nbr_proc,s(sK10(sK7,sK8))) ),
inference(superposition,[status(thm)],[c_204049,c_109]) ).
tcf(c_207137,plain,
! [X0: $i,X1: $i] : elem(X0,cons(X1,snoc(queue(host(sK2)),X0))),
inference(superposition,[status(thm)],[c_203174,c_203596]) ).
tcf(c_207138,plain,
! [X0: $i,X1: $i,X2: $i] : elem(X0,cons(X1,snoc(snoc(queue(host(sK2)),X2),X0))),
inference(superposition,[status(thm)],[c_203428,c_203596]) ).
tcf(c_207139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : elem(X0,cons(X1,snoc(snoc(snoc(queue(host(sK2)),X2),X3),X0))),
inference(superposition,[status(thm)],[c_203651,c_203596]) ).
tcf(c_207140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X0))),
inference(superposition,[status(thm)],[c_204394,c_203596]) ).
tcf(c_207141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X0))),
inference(superposition,[status(thm)],[c_204939,c_203596]) ).
tcf(c_207142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : elem(X0,cons(X1,cons(X2,cons(X3,snoc(X4,X0))))),
inference(superposition,[status(thm)],[c_135,c_203596]) ).
tcf(c_207143,plain,
! [X0: $i,X1: $i,X2: $i] : elem(X0,cons(X1,cons(X2,cons(X0,q_nil)))),
inference(superposition,[status(thm)],[c_136,c_203596]) ).
tcf(c_207144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( elem(X0,cons(X2,snoc(X3,X0)))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_203596,c_103]) ).
tcf(c_207157,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_203735]) ).
tcf(c_207159,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_203735]) ).
tcf(c_207163,plain,
! [X0: $i] :
( leq(X0,s(host(sK8)))
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_203735]) ).
tcf(c_207164,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_203802,c_203735]) ).
tcf(c_207168,plain,
( leq(zero,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201662,c_203735]) ).
tcf(c_207169,plain,
( leq(zero,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201663,c_203735]) ).
tcf(c_207179,plain,
( leq(sK10(sK6,sK8),s(nbr_proc))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_204048,c_203735]) ).
tcf(c_207180,plain,
( leq(sK10(sK7,sK8),s(nbr_proc))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_204049,c_203735]) ).
tcf(c_207190,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206181,c_203735]) ).
tcf(c_207208,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_207163,c_202443]) ).
tcf(c_207221,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_113,c_203974]) ).
tcf(c_207223,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_116,c_203974]) ).
tcf(c_207225,plain,
( leq(zero,s(host(sK8)))
| ( s(nbr_proc) = nbr_proc )
| ~ leq(s(nbr_proc),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_203974]) ).
tcf(c_207247,plain,
( leq(zero,nbr_proc)
| ( s(nbr_proc) = nbr_proc )
| ~ leq(s(nbr_proc),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_207225,c_202443]) ).
tcf(c_207252,plain,
! [X0: $i] :
( ( s(s(zero)) = X0 )
| ~ leq(nbr_proc,X0)
| ~ leq(X0,s(s(zero))) ),
inference(superposition,[status(thm)],[c_204158,c_109]) ).
tcf(c_207253,plain,
! [X0: $i,X1: $i] :
( leq(s(s(zero)),X1)
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204158,c_106]) ).
tcf(c_207254,plain,
! [X0: $i] :
( leq(s(s(zero)),X0)
| ( s(s(zero)) = s(X0) )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204158,c_114]) ).
tcf(c_207255,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204158,c_115]) ).
tcf(c_207256,plain,
~ leq(nbr_proc,s(zero)),
inference(superposition,[status(thm)],[c_204158,c_117]) ).
tcf(c_207261,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204158,c_203735]) ).
tcf(c_207264,plain,
( leq(s(zero),host(sK8))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_204158,c_202430]) ).
tcf(c_207294,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK2))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_204430]) ).
tcf(c_207297,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| ( s(X0) = zero )
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_204430,c_109]) ).
tcf(c_207298,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X0,host(X2))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_204430,c_106]) ).
tcf(c_207300,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,s(host(sK8)))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_204430,c_204714]) ).
tcf(c_207301,plain,
! [X0: $i] :
( leq(zero,s(host(sK8)))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_204430,c_202428]) ).
tcf(c_207302,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| ( host(X0) = X1 )
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_204430,c_109]) ).
tcf(c_207303,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(zero,s(X2))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_204430,c_106]) ).
tcf(c_207305,plain,
! [X0: $i] :
( leq(zero,s(host(sK2)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_204430,c_203633]) ).
tcf(c_207312,plain,
! [X0: $i] : leq(zero,s(s(s(s(s(s(host(X0)))))))),
inference(superposition,[status(thm)],[c_204430,c_201873]) ).
tcf(c_207313,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_204430,c_203735]) ).
tcf(c_207319,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_204430,c_202059]) ).
tcf(c_207331,plain,
! [X0: $i] :
( leq(zero,s(host(sK2)))
| leq(host(sK8),host(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_204430,c_202057]) ).
tcf(c_207338,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(host(X0))) ),
inference(light_normalisation,[status(thm)],[c_207301,c_202443]) ).
tcf(c_207351,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X1)
| ~ leq(s(host(X0)),X1) ),
inference(light_normalisation,[status(thm)],[c_207300,c_202443]) ).
tcf(c_207400,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(sK7)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != host(sK2) )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_205533]) ).
tcf(c_207401,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(sK6)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_202369,c_205533]) ).
tcf(c_207402,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(sK3)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_202368,c_205533]) ).
tcf(c_207403,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X1) != host(sK2) )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_205533]) ).
tcf(c_207404,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_205533]) ).
tcf(c_207405,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_205533]) ).
tcf(c_207406,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X0) != host(sK2) ) ),
inference(equality_resolution,[status(thm)],[c_205533]) ).
tcf(c_207430,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(nbr_proc))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(light_normalisation,[status(thm)],[c_207402,c_202368]) ).
tcf(c_207439,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(nbr_proc))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(light_normalisation,[status(thm)],[c_207401,c_202369]) ).
tcf(c_207486,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(sK7)))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X1) != host(sK2) )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_205532]) ).
tcf(c_207487,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(sK6)))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_202369,c_205532]) ).
tcf(c_207488,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(sK3)))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_202368,c_205532]) ).
tcf(c_207489,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(sK7),index(down,host(X1)))
| ( host(X1) != host(sK2) )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_205532]) ).
tcf(c_207490,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(sK6),index(down,host(X1)))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_205532]) ).
tcf(c_207491,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(sK3),index(down,host(X1)))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_205532]) ).
tcf(c_207492,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X0) != host(sK2) ) ),
inference(equality_resolution,[status(thm)],[c_205532]) ).
tcf(c_207500,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(nbr_proc,index(down,host(X1)))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_207491,c_202368]) ).
tcf(c_207510,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(nbr_proc))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(light_normalisation,[status(thm)],[c_207488,c_202368]) ).
tcf(c_207519,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(nbr_proc))
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(light_normalisation,[status(thm)],[c_207487,c_202369]) ).
tcf(c_207564,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),host(sK8))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_206499,c_204714]) ).
tcf(c_207566,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( s(nbr_proc) = X0 )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_206499,c_109]) ).
tcf(c_207567,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_206499,c_106]) ).
tcf(c_207591,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(nbr_proc))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_206499,c_204714]) ).
tcf(c_207592,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_206499,c_202428]) ).
tcf(c_207593,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( host(sK8) = X0 )
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_206499,c_109]) ).
tcf(c_207594,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206499,c_106]) ).
tcf(c_207595,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(s(X0),s(nbr_proc))
| ( s(X0) = host(sK8) ) ),
inference(superposition,[status(thm)],[c_206499,c_114]) ).
tcf(c_207601,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_206499,c_202051]) ).
tcf(c_207700,plain,
( ( s(sK10(sK6,sK8)) = zero )
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),zero) ),
inference(superposition,[status(thm)],[c_207168,c_109]) ).
tcf(c_207701,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),X0) ),
inference(superposition,[status(thm)],[c_207168,c_106]) ).
tcf(c_207702,plain,
( leq(zero,sK10(sK6,sK8))
| ( s(sK10(sK6,sK8)) = zero )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_207168,c_114]) ).
tcf(c_207712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),
inference(superposition,[status(thm)],[c_206869,c_135]) ).
tcf(c_207713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5) != q_nil,
inference(superposition,[status(thm)],[c_206869,c_137]) ).
tcf(c_207714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5)),
inference(superposition,[status(thm)],[c_206869,c_101]) ).
tcf(c_207715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6)) ),
inference(superposition,[status(thm)],[c_206869,c_102]) ).
tcf(c_207716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6)) ),
inference(superposition,[status(thm)],[c_206869,c_103]) ).
tcf(c_207717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X0)),
inference(superposition,[status(thm)],[c_206869,c_203176]) ).
tcf(c_207718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X0))),
inference(superposition,[status(thm)],[c_206869,c_203596]) ).
tcf(c_207735,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_113,c_204197]) ).
tcf(c_207740,plain,
( leq(zero,s(host(sK8)))
| ( host(sK8) = nbr_proc )
| ~ leq(host(sK8),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204197]) ).
tcf(c_207745,plain,
( leq(zero,s(sK10(sK6,sK8)))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_204197]) ).
tcf(c_207763,plain,
( leq(zero,nbr_proc)
| ( host(sK8) = nbr_proc )
| ~ leq(host(sK8),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_207740,c_202443]) ).
tcf(c_207779,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X1)))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_204431]) ).
tcf(c_207784,plain,
! [X0: $i] :
( leq(zero,s(host(sK8)))
| ( host(X0) = nbr_proc )
| ~ leq(host(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204431]) ).
tcf(c_207805,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ( host(sK2) = nbr_proc )
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_204701,c_204431]) ).
tcf(c_207813,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| ( host(X0) = nbr_proc )
| ~ leq(host(X0),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_207784,c_202443]) ).
tcf(c_207823,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_113,c_204492]) ).
tcf(c_207827,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| ( s(host(X0)) = nbr_proc )
| ~ leq(s(host(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204492]) ).
tcf(c_207828,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_203667,c_204492]) ).
tcf(c_207832,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_204008,c_204492]) ).
tcf(c_207847,plain,
! [X0: $i] :
( leq(zero,X0)
| ( host(sK2) = nbr_proc )
| ~ leq(s(host(sK2)),X0) ),
inference(superposition,[status(thm)],[c_204701,c_204492]) ).
tcf(c_207865,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_203736,c_205039]) ).
tcf(c_207866,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_113,c_205039]) ).
tcf(c_207867,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_201841,c_205039]) ).
tcf(c_207870,plain,
( leq(s(zero),host(sK8))
| ( s(nbr_proc) = nbr_proc )
| ~ leq(s(nbr_proc),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_205039]) ).
tcf(c_207871,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),host(sK8)) ),
inference(superposition,[status(thm)],[c_203667,c_205039]) ).
tcf(c_207874,plain,
leq(s(zero),s(s(s(s(s(nbr_proc)))))),
inference(superposition,[status(thm)],[c_201871,c_205039]) ).
tcf(c_207875,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_204008,c_205039]) ).
tcf(c_207876,plain,
leq(s(zero),s(s(s(s(s(s(nbr_proc))))))),
inference(superposition,[status(thm)],[c_203745,c_205039]) ).
tcf(c_207886,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206375,c_205039]) ).
tcf(c_207903,plain,
! [X0: $i] :
( ( s(s(s(s(host(X0))))) = zero )
| ~ leq(s(s(s(s(host(X0))))),zero) ),
inference(superposition,[status(thm)],[c_204440,c_109]) ).
tcf(c_207904,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ~ leq(s(s(s(s(host(X0))))),X1) ),
inference(superposition,[status(thm)],[c_204440,c_106]) ).
tcf(c_207935,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_204518,c_106]) ).
tcf(c_207946,plain,
! [X0: $i] :
( ( s(s(s(host(X0)))) = s(zero) )
| ~ leq(s(s(s(host(X0)))),s(zero)) ),
inference(superposition,[status(thm)],[c_205003,c_109]) ).
tcf(c_207947,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ~ leq(s(s(s(host(X0)))),X1) ),
inference(superposition,[status(thm)],[c_205003,c_106]) ).
tcf(c_207982,plain,
( ( s(sK10(sK7,sK8)) = zero )
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),zero) ),
inference(superposition,[status(thm)],[c_207169,c_109]) ).
tcf(c_207983,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),X0) ),
inference(superposition,[status(thm)],[c_207169,c_106]) ).
tcf(c_207984,plain,
( leq(zero,sK10(sK7,sK8))
| ( s(sK10(sK7,sK8)) = zero )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_207169,c_114]) ).
tcf(c_208013,plain,
( ( host(sK2) = nbr_proc )
| ~ elem(m_Down(sK7),sK0) ),
inference(superposition,[status(thm)],[c_201832,c_205528]) ).
tcf(c_208024,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_110,c_206704]) ).
tcf(c_208026,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_203736,c_206704]) ).
tcf(c_208027,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_113,c_206704]) ).
tcf(c_208028,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_201841,c_206704]) ).
tcf(c_208029,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_116,c_206704]) ).
tcf(c_208030,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_201161,c_206704]) ).
tcf(c_208031,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(sK8))
| ( s(s(X0)) = nbr_proc )
| ~ leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_206704]) ).
tcf(c_208032,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_203667,c_206704]) ).
tcf(c_208033,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_201592,c_206704]) ).
tcf(c_208034,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_201706,c_206704]) ).
tcf(c_208035,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_201871,c_206704]) ).
tcf(c_208036,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_204008,c_206704]) ).
tcf(c_208037,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_203745,c_206704]) ).
tcf(c_208041,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(X1))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_204430,c_206704]) ).
tcf(c_208042,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(X1))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_204992,c_206704]) ).
tcf(c_208043,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(X1))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_204429,c_206704]) ).
tcf(c_208046,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206499,c_206704]) ).
tcf(c_208047,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_204010,c_206704]) ).
tcf(c_208048,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_203973,c_206704]) ).
tcf(c_208049,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206375,c_206704]) ).
tcf(c_208050,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_206886,c_206704]) ).
tcf(c_208051,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(X1))
| leq(zero,s(X0)) ),
inference(superposition,[status(thm)],[c_206181,c_206704]) ).
tcf(c_208052,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),nbr_proc)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_202443,c_206704]) ).
tcf(c_208097,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(s(X0)) = nbr_proc )
| ~ leq(s(s(X0)),nbr_proc) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208031,c_202441]) ).
tcf(c_208195,plain,
( ( host(sK2) = nbr_proc )
| ~ elem(m_Down(sK2),queue(host(sK2))) ),
inference(superposition,[status(thm)],[c_204701,c_206860]) ).
tcf(c_208196,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ~ leq(s(X0),nbr_proc) ),
inference(global_subsumption_just,[status(thm)],[c_207208,c_10204]) ).
tcf(c_208206,plain,
! [X0: $i] :
( leq(host(X0),host(sK7))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_110,c_206837]) ).
tcf(c_208211,plain,
! [X0: $i] :
( leq(zero,s(host(sK7)))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_204430,c_206837]) ).
tcf(c_208212,plain,
! [X0: $i] :
( leq(s(zero),host(sK7))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_204992,c_206837]) ).
tcf(c_208213,plain,
! [X0: $i] :
( leq(zero,host(sK7))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_204429,c_206837]) ).
tcf(c_208229,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),X0) ),
inference(superposition,[status(thm)],[c_201970,c_204714]) ).
tcf(c_208230,plain,
( leq(nbr_proc,s(sK10(sK7,sK8)))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_202428]) ).
tcf(c_208231,plain,
( ( sK10(sK7,sK8) = host(sK7) )
| ( sK10(sK7,sK8) = host(sK8) )
| ~ iPr_def_14
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),host(sK8)) ),
inference(superposition,[status(thm)],[c_201970,c_109]) ).
tcf(c_208232,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_201970,c_106]) ).
tcf(c_208233,plain,
( ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_201742]) ).
tcf(c_208234,plain,
( leq(zero,s(sK10(sK7,sK8)))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_204431]) ).
tcf(c_208235,plain,
( leq(s(zero),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_202051]) ).
tcf(c_208236,plain,
( leq(zero,sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_203764]) ).
tcf(c_208286,plain,
( iPr_def_10
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_2574,c_208233]) ).
tcf(c_208291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),
inference(superposition,[status(thm)],[c_207712,c_135]) ).
tcf(c_208292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6) != q_nil,
inference(superposition,[status(thm)],[c_207712,c_137]) ).
tcf(c_208293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6)),
inference(superposition,[status(thm)],[c_207712,c_101]) ).
tcf(c_208294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7)) ),
inference(superposition,[status(thm)],[c_207712,c_102]) ).
tcf(c_208295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7)) ),
inference(superposition,[status(thm)],[c_207712,c_103]) ).
tcf(c_208296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X0)),
inference(superposition,[status(thm)],[c_207712,c_203176]) ).
tcf(c_208297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X0))),
inference(superposition,[status(thm)],[c_207712,c_203596]) ).
tcf(c_208309,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206976,c_204714]) ).
tcf(c_208310,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206976,c_202428]) ).
tcf(c_208311,plain,
! [X0: $i] :
( ( s(X0) = host(sK8) )
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_206976,c_109]) ).
tcf(c_208312,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_206976,c_106]) ).
tcf(c_208313,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( s(X0) = host(sK8) )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206976,c_114]) ).
tcf(c_208337,plain,
! [X0: $i,X1: $i,X2: $i] :
( elem(X0,cons(X2,cons(X0,q_nil)))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_207143,c_103]) ).
tcf(c_208342,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_202443,c_207159]) ).
tcf(c_208343,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| ~ leq(host(sK8),X0)
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_207159,c_204714]) ).
tcf(c_208344,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_207159,c_202428]) ).
tcf(c_208345,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = X1 )
| ~ leq(X1,X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207159,c_109]) ).
tcf(c_208346,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| ~ leq(X2,X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207159,c_106]) ).
tcf(c_208347,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| ( s(s(X1)) = X0 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207159,c_114]) ).
tcf(c_208353,plain,
! [X0: $i] : ~ leq(s(s(s(s(s(s(s(X0))))))),X0),
inference(superposition,[status(thm)],[c_207159,c_201873]) ).
tcf(c_208354,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(X1))))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_203735]) ).
tcf(c_208357,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(s(X1))))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_204431]) ).
tcf(c_208358,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(X1)))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_202051]) ).
tcf(c_208360,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X1)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207159,c_206704]) ).
tcf(c_208361,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(X1)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207159,c_202059]) ).
tcf(c_208362,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_207159,c_202063]) ).
tcf(c_208363,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_207159,c_202064]) ).
tcf(c_208366,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207159,c_205039]) ).
tcf(c_208367,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207159,c_203974]) ).
tcf(c_208368,plain,
! [X0: $i] :
( leq(host(sK8),s(s(X0)))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207159,c_203090]) ).
tcf(c_208370,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_207159,c_202067]) ).
tcf(c_208371,plain,
! [X0: $i] :
( leq(host(sK8),s(s(X0)))
| ( host(sK2) = host(sK7) )
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_207159,c_202057]) ).
tcf(c_208372,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X1)))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_207159,c_204492]) ).
tcf(c_208373,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_207159,c_204770]) ).
tcf(c_208439,plain,
! [X0: $i] :
( ( s(s(X0)) = zero )
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_207223,c_109]) ).
tcf(c_208440,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207223,c_106]) ).
tcf(c_208441,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ( s(s(X0)) = zero )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207223,c_114]) ).
tcf(c_208467,plain,
( leq(nbr_proc,nbr_proc)
| leq(s(zero),host(sK8)) ),
inference(superposition,[status(thm)],[c_202443,c_206197]) ).
tcf(c_208468,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| ( s(zero) = X0 )
| ~ leq(X0,s(zero)) ),
inference(superposition,[status(thm)],[c_206197,c_109]) ).
tcf(c_208469,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(s(X0),nbr_proc)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206197,c_106]) ).
tcf(c_208470,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(s(s(X0)),nbr_proc)
| ( s(X0) = s(zero) ) ),
inference(superposition,[status(thm)],[c_206197,c_114]) ).
tcf(c_208476,plain,
( leq(host(sK8),sK10(sK6,sK8))
| leq(s(sK10(sK6,sK8)),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_206197,c_201931]) ).
tcf(c_208477,plain,
( leq(host(sK8),sK10(sK7,sK8))
| leq(s(sK10(sK7,sK8)),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_206197,c_201932]) ).
tcf(c_208480,plain,
( leq(zero,host(sK8))
| leq(s(nbr_proc),nbr_proc) ),
inference(superposition,[status(thm)],[c_206197,c_202430]) ).
tcf(c_208481,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_206197,c_109]) ).
tcf(c_208492,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_206197,c_202430]) ).
tcf(c_208527,plain,
! [X0: $i] :
( leq(zero,X0)
| ( s(s(X0)) = nbr_proc )
| ~ leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_206326,c_109]) ).
tcf(c_208533,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_206326,c_203735]) ).
tcf(c_208537,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_206326,c_202430]) ).
tcf(c_208554,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(X0) = host(sK8) )
| ~ leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_206389,c_109]) ).
tcf(c_208555,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X1)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_206389,c_106]) ).
tcf(c_208571,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(s(X0)) = zero )
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_206390,c_109]) ).
tcf(c_208572,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206390,c_106]) ).
tcf(c_208580,plain,
( iPr_def_10
| ( sK10(sK7,sK8) = host(sK7) ) ),
inference(global_subsumption_just,[status(thm)],[c_208286,c_10689]) ).
tcf(c_208600,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_208342]) ).
tcf(c_208639,plain,
! [X0: $i] :
( ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0)
| ~ leq(s(X0),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_202352,c_202369]) ).
tcf(c_208652,plain,
( ( s(zero) = nbr_proc )
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_202050,c_208639]) ).
tcf(c_208653,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_110,c_208639]) ).
tcf(c_208655,plain,
( ( s(zero) = nbr_proc )
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_118,c_208639]) ).
tcf(c_208656,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_206197,c_208639]) ).
tcf(c_208657,plain,
! [X0: $i] :
( leq(zero,X0)
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204230,c_208639]) ).
tcf(c_208659,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_203556,c_208639]) ).
tcf(c_208660,plain,
( ( s(s(zero)) = nbr_proc )
| ~ leq(host(sK8),s(zero)) ),
inference(superposition,[status(thm)],[c_204046,c_208639]) ).
tcf(c_208663,plain,
( ( s(s(zero)) = nbr_proc )
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(host(sK8),s(zero)) ),
inference(superposition,[status(thm)],[c_204158,c_208639]) ).
tcf(c_208664,plain,
! [X0: $i] :
( leq(zero,X0)
| ( s(s(X0)) = nbr_proc )
| ~ leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_206326,c_208639]) ).
tcf(c_208692,plain,
! [X0: $i] :
( ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0))
| ~ leq(X0,host(sK8)) ),
inference(light_normalisation,[status(thm)],[c_202353,c_202369]) ).
tcf(c_208712,plain,
! [X0: $i] :
( ( X0 = nbr_proc )
| ( s(X0) = nbr_proc )
| ~ leq(X0,nbr_proc)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203477,c_208692]) ).
tcf(c_208719,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204430,c_208692]) ).
tcf(c_208764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),
inference(superposition,[status(thm)],[c_208291,c_135]) ).
tcf(c_208765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7) != q_nil,
inference(superposition,[status(thm)],[c_208291,c_137]) ).
tcf(c_208766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7)),
inference(superposition,[status(thm)],[c_208291,c_101]) ).
tcf(c_208767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8)) ),
inference(superposition,[status(thm)],[c_208291,c_102]) ).
tcf(c_208768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8)) ),
inference(superposition,[status(thm)],[c_208291,c_103]) ).
tcf(c_208769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X0)),
inference(superposition,[status(thm)],[c_208291,c_203176]) ).
tcf(c_208770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X0))),
inference(superposition,[status(thm)],[c_208291,c_203596]) ).
tcf(c_208790,plain,
( leq(s(zero),host(sK2))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_207255]) ).
tcf(c_208811,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_202433,c_202047]) ).
tcf(c_208812,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_206197,c_202047]) ).
tcf(c_208814,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_204989,c_202047]) ).
tcf(c_208815,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202050,c_202047]) ).
tcf(c_208818,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_202047]) ).
tcf(c_208820,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_203736,c_202047]) ).
tcf(c_208821,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_202047]) ).
tcf(c_208822,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(X2))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_201841,c_202047]) ).
tcf(c_208823,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X1))
| leq(s(X0),X2)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_202047]) ).
tcf(c_208826,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_120,c_202047]) ).
tcf(c_208828,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203812,c_202047]) ).
tcf(c_208829,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(host(sK2)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_202047]) ).
tcf(c_208830,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK2))
| leq(host(X0),X1)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_203644,c_202047]) ).
tcf(c_208832,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202047]) ).
tcf(c_208833,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_203667,c_202047]) ).
tcf(c_208835,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_201706,c_202047]) ).
tcf(c_208838,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_201871,c_202047]) ).
tcf(c_208839,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_202047]) ).
tcf(c_208840,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_202047]) ).
tcf(c_208841,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_201751,c_202047]) ).
tcf(c_208842,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_201759,c_202047]) ).
tcf(c_208843,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_206389,c_202047]) ).
tcf(c_208844,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206976,c_202047]) ).
tcf(c_208845,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202052,c_202047]) ).
tcf(c_208847,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_204008,c_202047]) ).
tcf(c_208850,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203743,c_202047]) ).
tcf(c_208851,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203744,c_202047]) ).
tcf(c_208852,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_203745,c_202047]) ).
tcf(c_208853,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X0)
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_206197,c_202047]) ).
tcf(c_208854,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_204230,c_202047]) ).
tcf(c_208855,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X0)
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_203668,c_202047]) ).
tcf(c_208856,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_203667,c_202047]) ).
tcf(c_208857,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(X0,X1) ),
inference(superposition,[status(thm)],[c_203556,c_202047]) ).
tcf(c_208858,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_203095,c_202047]) ).
tcf(c_208859,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_202436,c_202047]) ).
tcf(c_208861,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(X0))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_204430,c_202047]) ).
tcf(c_208862,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_204010,c_202047]) ).
tcf(c_208863,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203557,c_202047]) ).
tcf(c_208864,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_203746,c_202047]) ).
tcf(c_208867,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_201846,c_202047]) ).
tcf(c_208868,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_203561,c_202047]) ).
tcf(c_208869,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_203413,c_202047]) ).
tcf(c_208870,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_203538,c_202047]) ).
tcf(c_208871,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_204430,c_202047]) ).
tcf(c_208872,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),X2)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_204992,c_202047]) ).
tcf(c_208873,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_204429,c_202047]) ).
tcf(c_208874,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(s(zero)),X0) ),
inference(superposition,[status(thm)],[c_204046,c_202047]) ).
tcf(c_208875,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(sK10(sK6,sK8)),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_204048,c_202047]) ).
tcf(c_208876,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(sK10(sK7,sK8)),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_204049,c_202047]) ).
tcf(c_208877,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(s(zero)),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204158,c_202047]) ).
tcf(c_208879,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_204438,c_202047]) ).
tcf(c_208880,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_66876,c_202047]) ).
tcf(c_208881,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_204440,c_202047]) ).
tcf(c_208882,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_206499,c_202047]) ).
tcf(c_208883,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_204010,c_202047]) ).
tcf(c_208884,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_203973,c_202047]) ).
tcf(c_208885,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_203981,c_202047]) ).
tcf(c_208887,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204518,c_202047]) ).
tcf(c_208888,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206390,c_202047]) ).
tcf(c_208889,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207223,c_202047]) ).
tcf(c_208890,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_207168,c_202047]) ).
tcf(c_208891,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_207169,c_202047]) ).
tcf(c_208892,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207159,c_202047]) ).
tcf(c_208893,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206375,c_202047]) ).
tcf(c_208894,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206886,c_202047]) ).
tcf(c_208895,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206326,c_202047]) ).
tcf(c_208896,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_204996,c_202047]) ).
tcf(c_208897,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_205002,c_202047]) ).
tcf(c_208898,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_205003,c_202047]) ).
tcf(c_208899,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_205008,c_202047]) ).
tcf(c_208900,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_205009,c_202047]) ).
tcf(c_208901,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,host(X2))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_206181,c_202047]) ).
tcf(c_208902,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_66088,c_202047]) ).
tcf(c_209479,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK2),X0)
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_208826]) ).
tcf(c_209480,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_202369,c_208826]) ).
tcf(c_209484,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208826,c_202047]) ).
tcf(c_209485,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| ( host(X1) = X0 )
| ~ leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208826,c_109]) ).
tcf(c_209486,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(host(X2),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208826,c_106]) ).
tcf(c_209487,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(host(X0),X1)
| ( host(X0) = s(X1) ) ),
inference(superposition,[status(thm)],[c_208826,c_114]) ).
tcf(c_209489,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| ( s(host(X0)) = nbr_proc )
| ~ leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_208826,c_208692]) ).
tcf(c_209490,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(host(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208826,c_208342]) ).
tcf(c_209491,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),nbr_proc)
| leq(s(host(X1)),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208826,c_204891]) ).
tcf(c_209492,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(s(host(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_208826,c_202427]) ).
tcf(c_209500,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X0)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208826,c_202057]) ).
tcf(c_209657,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X0,X2)
| leq(X2,host(sK8))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208818,c_204714]) ).
tcf(c_209659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,X3)
| leq(X1,X2)
| leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208818,c_202047]) ).
tcf(c_209660,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208818,c_109]) ).
tcf(c_209661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X1)
| leq(X2,X3)
| leq(X0,X2)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208818,c_106]) ).
tcf(c_209662,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X1,X0)
| leq(s(X0),X2)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_208818,c_114]) ).
tcf(c_209666,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208818,c_208692]) ).
tcf(c_209668,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(host(sK8),X2)
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208818,c_204891]) ).
tcf(c_209669,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_208818,c_202427]) ).
tcf(c_209674,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK6,sK8),X0)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_208818,c_201931]) ).
tcf(c_209675,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK7,sK8),X0)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_208818,c_201932]) ).
tcf(c_209679,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208818,c_203735]) ).
tcf(c_209686,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X1,nbr_proc)
| leq(X2,X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208818,c_206704]) ).
tcf(c_209688,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208818,c_202063]) ).
tcf(c_209689,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208818,c_202064]) ).
tcf(c_209690,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,sK10(sK6,sK8))
| ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208818,c_202347]) ).
tcf(c_209691,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,sK10(sK7,sK8))
| ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208818,c_202348]) ).
tcf(c_209696,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208818,c_208639]) ).
tcf(c_209704,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208818,c_205039]) ).
tcf(c_209711,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK2))
| leq(host(sK8),X0)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208818,c_202057]) ).
tcf(c_209712,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208818,c_204492]) ).
tcf(c_209713,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,X0)
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208818,c_204770]) ).
tcf(c_209715,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK7))
| leq(host(X0),X1)
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_208818,c_206837]) ).
tcf(c_209833,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_207179,c_202047]) ).
tcf(c_209834,plain,
( ( sK10(sK6,sK8) = s(nbr_proc) )
| ~ iPr_def_12
| ~ leq(s(nbr_proc),sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_207179,c_109]) ).
tcf(c_209835,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207179,c_106]) ).
tcf(c_209836,plain,
( leq(sK10(sK6,sK8),nbr_proc)
| ( sK10(sK6,sK8) = s(nbr_proc) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_207179,c_114]) ).
tcf(c_209860,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_207180,c_202047]) ).
tcf(c_209861,plain,
( ( sK10(sK7,sK8) = s(nbr_proc) )
| ~ iPr_def_12
| ~ leq(s(nbr_proc),sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_207180,c_109]) ).
tcf(c_209862,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207180,c_106]) ).
tcf(c_209863,plain,
( leq(sK10(sK7,sK8),nbr_proc)
| ( sK10(sK7,sK8) = s(nbr_proc) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_207180,c_114]) ).
tcf(c_210166,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(host(sK2)))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_207190]) ).
tcf(c_210169,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,host(sK8))
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_207190,c_204714]) ).
tcf(c_210172,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ( s(host(X0)) = X1 )
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_207190,c_109]) ).
tcf(c_210173,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_207190,c_106]) ).
tcf(c_210174,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(X0))
| ( s(host(X0)) = X1 ) ),
inference(superposition,[status(thm)],[c_207190,c_114]) ).
tcf(c_210187,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(X1)))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_207190,c_206704]) ).
tcf(c_210199,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(host(sK8),s(host(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_207190,c_202057]) ).
tcf(c_210242,plain,
( leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = s(zero) )
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(s(zero),sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_201949,c_109]) ).
tcf(c_210243,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),X0)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_201949,c_106]) ).
tcf(c_210244,plain,
( leq(sK10(sK6,sK8),zero)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = s(zero) )
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_201949,c_114]) ).
tcf(c_210246,plain,
( leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = s(zero) )
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201949,c_202347]) ).
tcf(c_210276,plain,
( leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = s(zero) )
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(s(zero),sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_201968,c_109]) ).
tcf(c_210277,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),X0)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_201968,c_106]) ).
tcf(c_210278,plain,
( leq(sK10(sK7,sK8),zero)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = s(zero) )
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_201968,c_114]) ).
tcf(c_210280,plain,
( leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = s(zero) )
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201968,c_202348]) ).
tcf(c_210312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),
inference(superposition,[status(thm)],[c_208764,c_135]) ).
tcf(c_210313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8) != q_nil,
inference(superposition,[status(thm)],[c_208764,c_137]) ).
tcf(c_210314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8)),
inference(superposition,[status(thm)],[c_208764,c_101]) ).
tcf(c_210315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9)) ),
inference(superposition,[status(thm)],[c_208764,c_102]) ).
tcf(c_210316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9)) ),
inference(superposition,[status(thm)],[c_208764,c_103]) ).
tcf(c_210317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X0)),
inference(superposition,[status(thm)],[c_208764,c_203176]) ).
tcf(c_210318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X0))),
inference(superposition,[status(thm)],[c_208764,c_203596]) ).
tcf(c_210335,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_113,c_202061]) ).
tcf(c_210339,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( s(s(s(X0))) = nbr_proc )
| ~ leq(s(s(s(X0))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202061]) ).
tcf(c_210340,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_203667,c_202061]) ).
tcf(c_210344,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208818,c_202061]) ).
tcf(c_210345,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_204008,c_202061]) ).
tcf(c_210346,plain,
! [X0: $i] : leq(X0,s(s(s(s(s(s(s(s(X0))))))))),
inference(superposition,[status(thm)],[c_203745,c_202061]) ).
tcf(c_210347,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206197,c_202061]) ).
tcf(c_210349,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_203668,c_202061]) ).
tcf(c_210350,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_203556,c_202061]) ).
tcf(c_210351,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_204430,c_202061]) ).
tcf(c_210352,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_204992,c_202061]) ).
tcf(c_210354,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206499,c_202061]) ).
tcf(c_210355,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_204010,c_202061]) ).
tcf(c_210357,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(X1)))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_207159,c_202061]) ).
tcf(c_210358,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(X0)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206375,c_202061]) ).
tcf(c_210359,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207190,c_202061]) ).
tcf(c_210360,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206886,c_202061]) ).
tcf(c_210420,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_113,c_202068]) ).
tcf(c_210424,plain,
( leq(zero,host(sK8))
| ( s(s(s(nbr_proc))) = nbr_proc )
| ~ leq(s(s(s(nbr_proc))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202068]) ).
tcf(c_210425,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_203667,c_202068]) ).
tcf(c_210429,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208818,c_202068]) ).
tcf(c_210430,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204008,c_202068]) ).
tcf(c_210431,plain,
leq(zero,s(s(s(s(s(s(s(s(nbr_proc))))))))),
inference(superposition,[status(thm)],[c_203745,c_202068]) ).
tcf(c_210442,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_207159,c_202068]) ).
tcf(c_210443,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_206375,c_202068]) ).
tcf(c_210479,plain,
( leq(nbr_proc,s(nbr_proc))
| ( host(sK8) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203667,c_202336]) ).
tcf(c_210484,plain,
( ( host(sK7) = nbr_proc )
| ( host(sK2) = nbr_proc )
| ~ leq(nbr_proc,host(sK2)) ),
inference(superposition,[status(thm)],[c_204701,c_202336]) ).
tcf(c_210494,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_207601,c_204714]) ).
tcf(c_210497,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( s(nbr_proc) = X0 )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207601,c_109]) ).
tcf(c_210498,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207601,c_106]) ).
tcf(c_210512,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_207601,c_206704]) ).
tcf(c_210514,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207601,c_202061]) ).
tcf(c_210530,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(zero) = X0 )
| ~ leq(X0,s(zero)) ),
inference(superposition,[status(thm)],[c_207601,c_109]) ).
tcf(c_210531,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(s(zero),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207601,c_106]) ).
tcf(c_210532,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(s(X0),s(nbr_proc))
| ( s(X0) = s(zero) ) ),
inference(superposition,[status(thm)],[c_207601,c_114]) ).
tcf(c_210540,plain,
( leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),s(nbr_proc))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_207601,c_201931]) ).
tcf(c_210541,plain,
( leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),s(nbr_proc))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_207601,c_201932]) ).
tcf(c_210576,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_207867,c_202047]) ).
tcf(c_210577,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(X0) = s(zero) )
| ~ leq(s(X0),s(zero)) ),
inference(superposition,[status(thm)],[c_207867,c_109]) ).
tcf(c_210578,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),X1)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207867,c_106]) ).
tcf(c_210611,plain,
( leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),host(sK2))
| ( host(sK2) = nbr_proc )
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_204701,c_206186]) ).
tcf(c_210614,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(sK10(sK6,sK8),X0)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_206186,c_202047]) ).
tcf(c_210615,plain,
! [X0: $i] :
( leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ( sK10(sK6,sK8) = host(X0) )
| ~ iPr_def_14
| ~ leq(host(X0),sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_206186,c_109]) ).
tcf(c_210616,plain,
! [X0: $i,X1: $i] :
( leq(sK10(sK6,sK8),X1)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_206186,c_106]) ).
tcf(c_210617,plain,
( leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ( s(sK10(sK6,sK8)) = nbr_proc )
| ~ iPr_def_14
| ~ leq(nbr_proc,s(sK10(sK6,sK8))) ),
inference(superposition,[status(thm)],[c_206186,c_208692]) ).
tcf(c_210619,plain,
! [X0: $i] :
( leq(host(sK8),sK10(sK6,sK8))
| leq(s(sK10(sK6,sK8)),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206186,c_204891]) ).
tcf(c_210661,plain,
( leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),host(sK2))
| ( host(sK2) = nbr_proc )
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_204701,c_206187]) ).
tcf(c_210664,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(sK10(sK7,sK8),X0)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_206187,c_202047]) ).
tcf(c_210665,plain,
! [X0: $i] :
( leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ( sK10(sK7,sK8) = host(X0) )
| ~ iPr_def_14
| ~ leq(host(X0),sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_206187,c_109]) ).
tcf(c_210666,plain,
! [X0: $i,X1: $i] :
( leq(sK10(sK7,sK8),X1)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_206187,c_106]) ).
tcf(c_210667,plain,
( leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ( s(sK10(sK7,sK8)) = nbr_proc )
| ~ iPr_def_14
| ~ leq(nbr_proc,s(sK10(sK7,sK8))) ),
inference(superposition,[status(thm)],[c_206187,c_208692]) ).
tcf(c_210669,plain,
! [X0: $i] :
( leq(host(sK8),sK10(sK7,sK8))
| leq(s(sK10(sK7,sK8)),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206187,c_204891]) ).
tcf(c_210711,plain,
( ~ setIn(sK6,alive)
| ~ setIn(sK8,alive)
| ~ elem(m_Down(sK8),queue(host(sK6))) ),
inference(superposition,[status(thm)],[c_54,c_201694]) ).
tcf(c_210712,plain,
( ~ setIn(sK7,alive)
| ~ setIn(sK8,alive)
| ~ elem(m_Down(sK8),queue(host(sK7))) ),
inference(superposition,[status(thm)],[c_55,c_201694]) ).
tcf(c_210713,plain,
! [X0: $i] :
( ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X0),sK0)
| ~ elem(m_Down(sK2),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_201832,c_201694]) ).
tcf(c_210715,plain,
! [X0: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ elem(m_Down(sK6),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_202369,c_201694]) ).
tcf(c_210716,plain,
! [X0: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ elem(m_Down(sK3),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_202368,c_201694]) ).
tcf(c_210717,plain,
( ~ setIn(sK7,alive)
| ~ elem(m_Down(sK8),queue(host(sK7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210712,c_52]) ).
tcf(c_210720,plain,
( ~ setIn(sK6,alive)
| ~ setIn(sK8,alive)
| ~ elem(m_Down(sK8),queue(nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_210711,c_202369]) ).
tcf(c_210721,plain,
( ~ setIn(sK6,alive)
| ~ elem(m_Down(sK8),queue(nbr_proc)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210720,c_52]) ).
tcf(c_210724,plain,
! [X0: $i] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(X0),sK0)
| ~ elem(m_Down(sK2),queue(host(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210713,c_66]) ).
tcf(c_210751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),
inference(superposition,[status(thm)],[c_210312,c_135]) ).
tcf(c_210752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9) != q_nil,
inference(superposition,[status(thm)],[c_210312,c_137]) ).
tcf(c_210753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9)),
inference(superposition,[status(thm)],[c_210312,c_101]) ).
tcf(c_210754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10)) ),
inference(superposition,[status(thm)],[c_210312,c_102]) ).
tcf(c_210755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10)) ),
inference(superposition,[status(thm)],[c_210312,c_103]) ).
tcf(c_210756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X0)),
inference(superposition,[status(thm)],[c_210312,c_203176]) ).
tcf(c_210757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X0))),
inference(superposition,[status(thm)],[c_210312,c_203596]) ).
tcf(c_210771,plain,
( leq(zero,host(sK8))
| ( host(sK8) = zero ) ),
inference(superposition,[status(thm)],[c_110,c_202354]) ).
tcf(c_210772,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| ( host(sK8) = zero ) ),
inference(superposition,[status(thm)],[c_208818,c_202354]) ).
tcf(c_210779,plain,
~ leq(s(nbr_proc),zero),
inference(global_subsumption_just,[status(thm)],[c_202356,c_35963]) ).
tcf(c_210797,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208533,c_202047]) ).
tcf(c_210798,plain,
! [X0: $i] :
( leq(zero,X0)
| ( s(X0) = s(nbr_proc) )
| ~ leq(s(nbr_proc),s(X0)) ),
inference(superposition,[status(thm)],[c_208533,c_109]) ).
tcf(c_210799,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_208533,c_106]) ).
tcf(c_210809,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(zero,s(X0)) ),
inference(superposition,[status(thm)],[c_208533,c_206704]) ).
tcf(c_210833,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(s(s(zero)),X0) ),
inference(superposition,[status(thm)],[c_208874,c_202047]) ).
tcf(c_210834,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(s(zero)) = X0 )
| ~ leq(X0,s(s(zero))) ),
inference(superposition,[status(thm)],[c_208874,c_109]) ).
tcf(c_210835,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(s(zero)),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208874,c_106]) ).
tcf(c_210836,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(s(s(zero)),X0)
| ( s(s(zero)) = s(X0) ) ),
inference(superposition,[status(thm)],[c_208874,c_114]) ).
tcf(c_210839,plain,
( leq(host(sK8),nbr_proc)
| ( s(s(s(zero))) = nbr_proc )
| ~ leq(nbr_proc,s(s(s(zero)))) ),
inference(superposition,[status(thm)],[c_208874,c_208692]) ).
tcf(c_210840,plain,
( leq(host(sK8),nbr_proc)
| leq(s(s(zero)),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208874,c_208342]) ).
tcf(c_210841,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(s(s(s(zero))),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208874,c_204891]) ).
tcf(c_210842,plain,
( leq(host(sK8),nbr_proc)
| leq(s(s(s(zero))),nbr_proc) ),
inference(superposition,[status(thm)],[c_208874,c_202427]) ).
tcf(c_210949,plain,
( ~ setIn(sK6,alive)
| ~ elem(m_Down(sK6),sK0)
| ~ elem(m_Down(sK2),queue(nbr_proc)) ),
inference(superposition,[status(thm)],[c_202369,c_210724]) ).
tcf(c_210950,plain,
( ~ setIn(sK3,alive)
| ~ elem(m_Down(sK3),sK0)
| ~ elem(m_Down(sK2),queue(nbr_proc)) ),
inference(superposition,[status(thm)],[c_202368,c_210724]) ).
tcf(c_210957,plain,
~ elem(m_Down(sK6),sK0),
inference(global_subsumption_just,[status(thm)],[c_210949,c_39644]) ).
tcf(c_210959,plain,
~ elem(m_Down(sK3),sK0),
inference(global_subsumption_just,[status(thm)],[c_210950,c_40149]) ).
tcf(c_210969,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_204701,c_202413]) ).
tcf(c_210970,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ( host(sK2) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_202413]) ).
tcf(c_210971,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ( host(sK2) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_202413]) ).
tcf(c_210993,plain,
! [X0: $i] :
( leq(host(sK8),host(X0))
| ( host(X0) = host(sK7) )
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive)
| ~ leq(s(zero),host(X0))
| ~ elem(m_Down(sK8),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_51,c_201813]) ).
tcf(c_210995,plain,
! [X0: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X0),queue(host(sK6)))
| ~ setIn(nbr_proc,index(down,host(X0))) ),
inference(superposition,[status(thm)],[c_202369,c_201813]) ).
tcf(c_210996,plain,
! [X0: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ setIn(nbr_proc,index(down,host(X0))) ),
inference(superposition,[status(thm)],[c_202368,c_201813]) ).
tcf(c_210998,plain,
! [X0: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(host(X0),index(down,nbr_proc)) ),
inference(superposition,[status(thm)],[c_202369,c_201813]) ).
tcf(c_210999,plain,
! [X0: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(host(X0),index(down,nbr_proc)) ),
inference(superposition,[status(thm)],[c_202368,c_201813]) ).
tcf(c_211008,plain,
! [X0: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ setIn(nbr_proc,index(down,host(X0))) ),
inference(light_normalisation,[status(thm)],[c_210996,c_202368]) ).
tcf(c_211013,plain,
! [X0: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ setIn(nbr_proc,index(down,host(X0))) ),
inference(light_normalisation,[status(thm)],[c_210995,c_202369]) ).
tcf(c_211018,plain,
! [X0: $i] :
( leq(host(sK8),host(X0))
| ( host(X0) = host(sK7) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK8),queue(host(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210993,c_52,c_119]) ).
tcf(c_211034,plain,
( leq(host(sK8),host(sK3))
| ( host(sK7) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ elem(m_Down(sK8),queue(nbr_proc)) ),
inference(superposition,[status(thm)],[c_202368,c_211018]) ).
tcf(c_211035,plain,
( leq(host(sK8),nbr_proc)
| ( host(sK7) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ elem(m_Down(sK8),queue(nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_211034,c_202368]) ).
tcf(c_211052,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(zero))
| leq(sK10(sK6,sK8),X0)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_202047]) ).
tcf(c_211053,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = X0 )
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(X0,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_209674,c_109]) ).
tcf(c_211054,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(zero))
| leq(sK10(sK6,sK8),X1)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_209674,c_106]) ).
tcf(c_211055,plain,
! [X0: $i] :
( leq(s(X0),s(zero))
| leq(sK10(sK6,sK8),X0)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_114]) ).
tcf(c_211057,plain,
( leq(host(sK8),s(zero))
| leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),s(nbr_proc))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_208342]) ).
tcf(c_211059,plain,
( leq(host(sK8),s(zero))
| leq(host(sK8),sK10(sK6,sK8))
| leq(s(sK10(sK6,sK8)),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_202427]) ).
tcf(c_211060,plain,
( leq(host(sK8),s(zero))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_202437]) ).
tcf(c_211063,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(zero))
| leq(sK10(sK6,sK8),X1)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(s(sK10(sK6,sK8)),X0) ),
inference(superposition,[status(thm)],[c_209674,c_204714]) ).
tcf(c_211064,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK6,sK8),X0)
| leq(nbr_proc,s(sK10(sK6,sK8)))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_202428]) ).
tcf(c_211065,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(zero))
| leq(host(sK8),X1)
| leq(X1,sK10(sK6,sK8))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_202047]) ).
tcf(c_211066,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ( sK10(sK6,sK8) = host(sK8) )
| ~ iPr_def_14
| ~ leq(sK10(sK6,sK8),host(sK8)) ),
inference(superposition,[status(thm)],[c_209674,c_109]) ).
tcf(c_211067,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(host(sK8),X0)
| leq(sK10(sK6,sK8),X1)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_209674,c_106]) ).
tcf(c_211068,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_209674,c_201741]) ).
tcf(c_211069,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK6,sK8),X0)
| leq(zero,s(sK10(sK6,sK8)))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_204431]) ).
tcf(c_211070,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK6,sK8),X0)
| leq(s(zero),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_202051]) ).
tcf(c_211071,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(zero,sK10(sK6,sK8))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_203764]) ).
tcf(c_211270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),
inference(superposition,[status(thm)],[c_210751,c_135]) ).
tcf(c_211271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10) != q_nil,
inference(superposition,[status(thm)],[c_210751,c_137]) ).
tcf(c_211272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10)),
inference(superposition,[status(thm)],[c_210751,c_101]) ).
tcf(c_211273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11)) ),
inference(superposition,[status(thm)],[c_210751,c_102]) ).
tcf(c_211274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11)) ),
inference(superposition,[status(thm)],[c_210751,c_103]) ).
tcf(c_211275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X0)),
inference(superposition,[status(thm)],[c_210751,c_203176]) ).
tcf(c_211276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X0))),
inference(superposition,[status(thm)],[c_210751,c_203596]) ).
tcf(c_211309,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_113,c_203221]) ).
tcf(c_211313,plain,
( leq(host(sK8),host(sK8))
| ( s(s(nbr_proc)) = nbr_proc )
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_203221]) ).
tcf(c_211314,plain,
( leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_203667,c_203221]) ).
tcf(c_211318,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208818,c_203221]) ).
tcf(c_211319,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_204008,c_203221]) ).
tcf(c_211320,plain,
leq(host(sK8),s(s(s(s(s(s(s(nbr_proc)))))))),
inference(superposition,[status(thm)],[c_203745,c_203221]) ).
tcf(c_211332,plain,
! [X0: $i] :
( leq(host(sK8),s(s(X0)))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_207159,c_203221]) ).
tcf(c_211333,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206375,c_203221]) ).
tcf(c_211397,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_206499,c_203571]) ).
tcf(c_211405,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X1,nbr_proc)
| leq(X2,X0)
| leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208818,c_203571]) ).
tcf(c_211409,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(zero,s(X0)) ),
inference(superposition,[status(thm)],[c_203736,c_203571]) ).
tcf(c_211410,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_203571]) ).
tcf(c_211411,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_201841,c_203571]) ).
tcf(c_211412,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(s(X0),nbr_proc)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_203571]) ).
tcf(c_211422,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK8))
| leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203667,c_203571]) ).
tcf(c_211427,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_201871,c_203571]) ).
tcf(c_211433,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(zero,s(X0)) ),
inference(superposition,[status(thm)],[c_206389,c_203571]) ).
tcf(c_211435,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208818,c_203571]) ).
tcf(c_211437,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202052,c_203571]) ).
tcf(c_211438,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(zero))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_203571]) ).
tcf(c_211440,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_204008,c_203571]) ).
tcf(c_211445,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_203745,c_203571]) ).
tcf(c_211446,plain,
( leq(zero,s(zero))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_201949,c_203571]) ).
tcf(c_211447,plain,
( leq(zero,s(zero))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_201968,c_203571]) ).
tcf(c_211451,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,s(X0))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_203667,c_203571]) ).
tcf(c_211468,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(X1))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_204992,c_203571]) ).
tcf(c_211490,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207159,c_203571]) ).
tcf(c_211491,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_206375,c_203571]) ).
tcf(c_211500,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_206181,c_203571]) ).
tcf(c_211585,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203812,c_203574]) ).
tcf(c_211586,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(host(sK2)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_203574]) ).
tcf(c_211588,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_203667,c_203574]) ).
tcf(c_211595,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_203667,c_203574]) ).
tcf(c_211698,plain,
! [X0: $i] : ~ leq(host(X0),zero),
inference(global_subsumption_just,[status(thm)],[c_203763,c_195985]) ).
tcf(c_211715,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),host(sK8)) ),
inference(superposition,[status(thm)],[c_202443,c_203811]) ).
tcf(c_211717,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_203811,c_202047]) ).
tcf(c_211721,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_203811,c_203574]) ).
tcf(c_211723,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_203811,c_207255]) ).
tcf(c_211739,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204364,c_202047]) ).
tcf(c_211740,plain,
( ( s(sK10(sK6,sK8)) = s(zero) )
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),s(zero)) ),
inference(superposition,[status(thm)],[c_204364,c_109]) ).
tcf(c_211741,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),X0) ),
inference(superposition,[status(thm)],[c_204364,c_106]) ).
tcf(c_211742,plain,
( leq(s(zero),sK10(sK6,sK8))
| ( s(sK10(sK6,sK8)) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204364,c_114]) ).
tcf(c_211744,plain,
( leq(zero,s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204364,c_203735]) ).
tcf(c_211822,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(s(s(s(s(s(host(sK8)))))))),X0) ),
inference(superposition,[status(thm)],[c_204514,c_204714]) ).
tcf(c_211823,plain,
leq(nbr_proc,s(s(s(s(s(s(s(host(sK8))))))))),
inference(superposition,[status(thm)],[c_204514,c_202428]) ).
tcf(c_211824,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_204514,c_203571]) ).
tcf(c_211825,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(X0,s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_204514,c_202047]) ).
tcf(c_211827,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(s(s(s(s(s(s(X0)))))),X1) ),
inference(superposition,[status(thm)],[c_204514,c_106]) ).
tcf(c_211832,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_204514,c_203574]) ).
tcf(c_211835,plain,
! [X0: $i] : leq(s(zero),s(s(s(s(s(s(host(X0)))))))),
inference(superposition,[status(thm)],[c_204514,c_202051]) ).
tcf(c_211837,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(s(s(X0))))))))) ),
inference(superposition,[status(thm)],[c_204514,c_206704]) ).
tcf(c_211839,plain,
! [X0: $i] : leq(X0,s(s(s(s(s(s(s(s(s(X0)))))))))),
inference(superposition,[status(thm)],[c_204514,c_202061]) ).
tcf(c_211840,plain,
( leq(s(zero),s(s(s(s(s(s(sK10(sK6,sK8))))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204514,c_202063]) ).
tcf(c_211841,plain,
( leq(s(zero),s(s(s(s(s(s(sK10(sK7,sK8))))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204514,c_202064]) ).
tcf(c_211849,plain,
leq(host(sK8),s(s(s(s(s(s(s(s(nbr_proc))))))))),
inference(superposition,[status(thm)],[c_204514,c_203221]) ).
tcf(c_211851,plain,
leq(zero,s(s(s(s(s(s(s(s(s(nbr_proc)))))))))),
inference(superposition,[status(thm)],[c_204514,c_202068]) ).
tcf(c_211852,plain,
( leq(host(sK8),s(s(s(s(s(s(host(sK2))))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_204514,c_202057]) ).
tcf(c_211853,plain,
! [X0: $i] : leq(zero,s(s(s(s(s(s(s(host(X0))))))))),
inference(superposition,[status(thm)],[c_204514,c_204492]) ).
tcf(c_211854,plain,
leq(nbr_proc,s(s(s(s(s(s(s(s(s(s(s(nbr_proc)))))))))))),
inference(superposition,[status(thm)],[c_204514,c_204770]) ).
tcf(c_211870,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),X0) ),
inference(light_normalisation,[status(thm)],[c_211822,c_202443]) ).
tcf(c_212336,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(s(host(X1))))))) ),
inference(superposition,[status(thm)],[c_204516,c_202047]) ).
tcf(c_212337,plain,
! [X0: $i] :
( ( s(s(s(s(s(host(X0)))))) = zero )
| ~ leq(s(s(s(s(s(host(X0)))))),zero) ),
inference(superposition,[status(thm)],[c_204516,c_109]) ).
tcf(c_212338,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ~ leq(s(s(s(s(s(host(X0)))))),X1) ),
inference(superposition,[status(thm)],[c_204516,c_106]) ).
tcf(c_212354,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_110,c_211870]) ).
tcf(c_212357,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),X0) ),
inference(superposition,[status(thm)],[c_113,c_211870]) ).
tcf(c_212361,plain,
( leq(nbr_proc,host(sK8))
| ( s(s(s(s(s(s(nbr_proc)))))) = nbr_proc )
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_211870]) ).
tcf(c_212366,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,X0)
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208818,c_211870]) ).
tcf(c_212367,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_204008,c_211870]) ).
tcf(c_212380,plain,
leq(nbr_proc,s(s(s(s(s(s(s(s(s(s(s(s(nbr_proc))))))))))))),
inference(superposition,[status(thm)],[c_204514,c_211870]) ).
tcf(c_212381,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),X0) ),
inference(superposition,[status(thm)],[c_207159,c_211870]) ).
tcf(c_212382,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_206375,c_211870]) ).
tcf(c_212401,plain,
( ( s(s(s(s(s(s(nbr_proc)))))) = nbr_proc )
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),nbr_proc) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212361,c_202441]) ).
tcf(c_212426,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(zero))
| leq(sK10(sK6,sK8),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_203571]) ).
tcf(c_212427,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(zero))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_202047]) ).
tcf(c_212428,plain,
! [X0: $i] :
( leq(X0,s(zero))
| ( sK10(sK6,sK8) = X0 )
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12
| ~ leq(X0,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_211068,c_109]) ).
tcf(c_212429,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(zero))
| leq(sK10(sK6,sK8),X1)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_211068,c_106]) ).
tcf(c_212430,plain,
! [X0: $i] :
( leq(s(X0),s(zero))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_114]) ).
tcf(c_212431,plain,
( leq(host(sK8),s(zero))
| ( sK10(sK6,sK8) = host(sK7) )
| ( s(sK10(sK6,sK8)) = nbr_proc )
| ~ iPr_def_14
| ~ iPr_def_12
| ~ leq(nbr_proc,s(sK10(sK6,sK8))) ),
inference(superposition,[status(thm)],[c_211068,c_208692]) ).
tcf(c_212432,plain,
( leq(host(sK8),s(zero))
| leq(sK10(sK6,sK8),s(nbr_proc))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_208342]) ).
tcf(c_212433,plain,
! [X0: $i] :
( leq(host(sK8),s(zero))
| leq(s(sK10(sK6,sK8)),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211068,c_204891]) ).
tcf(c_212434,plain,
( leq(host(sK8),s(zero))
| leq(s(sK10(sK6,sK8)),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_202427]) ).
tcf(c_212435,plain,
( leq(host(sK8),s(zero))
| leq(sK10(sK6,sK8),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_202437]) ).
tcf(c_212505,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(zero))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_203571]) ).
tcf(c_212506,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(zero))
| leq(sK10(sK7,sK8),X0)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_202047]) ).
tcf(c_212507,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = X0 )
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(X0,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_209675,c_109]) ).
tcf(c_212508,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(zero))
| leq(sK10(sK7,sK8),X1)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_209675,c_106]) ).
tcf(c_212509,plain,
! [X0: $i] :
( leq(s(X0),s(zero))
| leq(sK10(sK7,sK8),X0)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_114]) ).
tcf(c_212511,plain,
( leq(host(sK8),s(zero))
| leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),s(nbr_proc))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_208342]) ).
tcf(c_212513,plain,
( leq(host(sK8),s(zero))
| leq(host(sK8),sK10(sK7,sK8))
| leq(s(sK10(sK7,sK8)),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_202427]) ).
tcf(c_212514,plain,
( leq(host(sK8),s(zero))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_202437]) ).
tcf(c_212517,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(zero))
| leq(sK10(sK7,sK8),X1)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(s(sK10(sK7,sK8)),X0) ),
inference(superposition,[status(thm)],[c_209675,c_204714]) ).
tcf(c_212518,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK7,sK8),X0)
| leq(nbr_proc,s(sK10(sK7,sK8)))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_202428]) ).
tcf(c_212520,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(zero))
| leq(host(sK8),X1)
| leq(X1,sK10(sK7,sK8))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_202047]) ).
tcf(c_212521,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ( sK10(sK7,sK8) = host(sK8) )
| ~ iPr_def_14
| ~ leq(sK10(sK7,sK8),host(sK8)) ),
inference(superposition,[status(thm)],[c_209675,c_109]) ).
tcf(c_212522,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(host(sK8),X0)
| leq(sK10(sK7,sK8),X1)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_209675,c_106]) ).
tcf(c_212523,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_209675,c_201742]) ).
tcf(c_212524,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK7,sK8),X0)
| leq(zero,s(sK10(sK7,sK8)))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_204431]) ).
tcf(c_212525,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK7,sK8),X0)
| leq(s(zero),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_202051]) ).
tcf(c_212526,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(zero,sK10(sK7,sK8))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_203764]) ).
tcf(c_212643,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(zero))
| leq(sK10(sK7,sK8),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_203571]) ).
tcf(c_212644,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(zero))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_202047]) ).
tcf(c_212645,plain,
! [X0: $i] :
( leq(X0,s(zero))
| ( sK10(sK7,sK8) = X0 )
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12
| ~ leq(X0,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_212523,c_109]) ).
tcf(c_212646,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(zero))
| leq(sK10(sK7,sK8),X1)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_212523,c_106]) ).
tcf(c_212647,plain,
! [X0: $i] :
( leq(s(X0),s(zero))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_114]) ).
tcf(c_212648,plain,
( leq(host(sK8),s(zero))
| ( sK10(sK7,sK8) = host(sK7) )
| ( s(sK10(sK7,sK8)) = nbr_proc )
| ~ iPr_def_14
| ~ iPr_def_12
| ~ leq(nbr_proc,s(sK10(sK7,sK8))) ),
inference(superposition,[status(thm)],[c_212523,c_208692]) ).
tcf(c_212649,plain,
( leq(host(sK8),s(zero))
| leq(sK10(sK7,sK8),s(nbr_proc))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_208342]) ).
tcf(c_212650,plain,
! [X0: $i] :
( leq(host(sK8),s(zero))
| leq(s(sK10(sK7,sK8)),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_212523,c_204891]) ).
tcf(c_212651,plain,
( leq(host(sK8),s(zero))
| leq(s(sK10(sK7,sK8)),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_202427]) ).
tcf(c_212652,plain,
( leq(host(sK8),s(zero))
| leq(sK10(sK7,sK8),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_202437]) ).
tcf(c_212747,plain,
! [X0: $i] :
( leq(s(zero),sK9(X0,sK8))
| ~ elem(m_Ack(sK2,sK8),sK0)
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8))) ),
inference(superposition,[status(thm)],[c_201832,c_202198]) ).
tcf(c_212760,plain,
! [X0: $i] :
( ~ elem(m_Ack(sK2,sK8),sK0)
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK8),sK9(X0,sK8)) ),
inference(superposition,[status(thm)],[c_201832,c_202213]) ).
tcf(c_212776,plain,
! [X0: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(X0),queue(host(sK6))) ),
inference(superposition,[status(thm)],[c_202369,c_202473]) ).
tcf(c_212777,plain,
! [X0: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(X0),queue(host(sK3))) ),
inference(superposition,[status(thm)],[c_202368,c_202473]) ).
tcf(c_212779,plain,
! [X0: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ elem(m_Down(sK3),queue(host(X0))) ),
inference(light_normalisation,[status(thm)],[c_212776,c_202369]) ).
tcf(c_212794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),
inference(superposition,[status(thm)],[c_211270,c_135]) ).
tcf(c_212795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11) != q_nil,
inference(superposition,[status(thm)],[c_211270,c_137]) ).
tcf(c_212796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11)),
inference(superposition,[status(thm)],[c_211270,c_101]) ).
tcf(c_212797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12)) ),
inference(superposition,[status(thm)],[c_211270,c_102]) ).
tcf(c_212798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12)) ),
inference(superposition,[status(thm)],[c_211270,c_103]) ).
tcf(c_212799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X0)),
inference(superposition,[status(thm)],[c_211270,c_203176]) ).
tcf(c_212800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X0))),
inference(superposition,[status(thm)],[c_211270,c_203596]) ).
tcf(c_212863,plain,
( leq(nbr_proc,s(nbr_proc))
| ~ leq(host(sK8),host(sK8)) ),
inference(superposition,[status(thm)],[c_202443,c_204070]) ).
tcf(c_212865,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(s(X0)))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_202047]) ).
tcf(c_212866,plain,
! [X0: $i] :
( ( s(s(X0)) = nbr_proc )
| ~ leq(host(sK8),X0)
| ~ leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_204070,c_109]) ).
tcf(c_212868,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| ( s(s(X0)) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_114]) ).
tcf(c_212869,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(X0)))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_203574]) ).
tcf(c_212871,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_207255]) ).
tcf(c_212873,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_202431]) ).
tcf(c_212912,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_113,c_204502]) ).
tcf(c_212916,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| ( s(s(host(X0))) = nbr_proc )
| ~ leq(s(s(host(X0))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204502]) ).
tcf(c_212917,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_203667,c_204502]) ).
tcf(c_212921,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208818,c_204502]) ).
tcf(c_212922,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_204008,c_204502]) ).
tcf(c_212935,plain,
! [X0: $i] : leq(zero,s(s(s(s(s(s(s(s(host(X0)))))))))),
inference(superposition,[status(thm)],[c_204514,c_204502]) ).
tcf(c_212936,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X1)))
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_207159,c_204502]) ).
tcf(c_212937,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_206375,c_204502]) ).
tcf(c_212944,plain,
! [X0: $i] :
( leq(zero,X0)
| ( host(sK2) = nbr_proc )
| ~ leq(s(s(host(sK2))),X0) ),
inference(superposition,[status(thm)],[c_204701,c_204502]) ).
tcf(c_213027,plain,
( ( s(s(s(s(s(s(host(sK8))))))) = nbr_proc )
| ~ leq(s(s(s(s(s(s(host(sK8))))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204971]) ).
tcf(c_213042,plain,
! [X0: $i] : ~ leq(s(s(s(s(s(s(s(s(X0)))))))),X0),
inference(superposition,[status(thm)],[c_207159,c_204971]) ).
tcf(c_213049,plain,
~ leq(s(s(s(s(s(nbr_proc))))),host(sK8)),
inference(superposition,[status(thm)],[c_202443,c_204971]) ).
tcf(c_213096,plain,
! [X0: $i] :
( leq(s(zero),s(host(sK2)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_203644,c_204994]) ).
tcf(c_213097,plain,
( leq(s(zero),s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_201621,c_204994]) ).
tcf(c_213098,plain,
! [X0: $i] :
( leq(s(zero),s(host(sK8)))
| ( host(X0) = nbr_proc )
| ~ leq(host(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204994]) ).
tcf(c_213099,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(X0)))
| leq(s(zero),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_203667,c_204994]) ).
tcf(c_213103,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK6,sK8),X0)
| leq(s(zero),s(sK10(sK6,sK8)))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_204994]) ).
tcf(c_213104,plain,
( leq(s(zero),s(sK10(sK6,sK8)))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_204994]) ).
tcf(c_213105,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK7,sK8),X0)
| leq(s(zero),s(sK10(sK7,sK8)))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_204994]) ).
tcf(c_213106,plain,
( leq(s(zero),s(sK10(sK7,sK8)))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_204994]) ).
tcf(c_213108,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206976,c_204994]) ).
tcf(c_213109,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,host(X2))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208818,c_204994]) ).
tcf(c_213112,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_204008,c_204994]) ).
tcf(c_213126,plain,
! [X0: $i] : leq(s(zero),s(s(s(s(s(s(s(host(X0))))))))),
inference(superposition,[status(thm)],[c_204514,c_204994]) ).
tcf(c_213127,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(s(X1))))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_204994]) ).
tcf(c_213131,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ( host(sK2) = nbr_proc )
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_204701,c_204994]) ).
tcf(c_213138,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(host(X0))) ),
inference(light_normalisation,[status(thm)],[c_213099,c_202443]) ).
tcf(c_213147,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| ( host(X0) = nbr_proc )
| ~ leq(host(X0),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_213098,c_202443]) ).
tcf(c_213225,plain,
( ( s(s(s(s(s(s(nbr_proc)))))) = zero )
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),zero) ),
inference(superposition,[status(thm)],[c_204519,c_109]) ).
tcf(c_213226,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),X0) ),
inference(superposition,[status(thm)],[c_204519,c_106]) ).
tcf(c_213258,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( s(s(X0)) = zero )
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_204576,c_109]) ).
tcf(c_213259,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,host(sK8))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_204576,c_106]) ).
tcf(c_213260,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK8))
| ( s(s(X0)) = zero ) ),
inference(superposition,[status(thm)],[c_204576,c_114]) ).
tcf(c_213275,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204619,c_202047]) ).
tcf(c_213276,plain,
( ( s(sK10(sK7,sK8)) = s(zero) )
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),s(zero)) ),
inference(superposition,[status(thm)],[c_204619,c_109]) ).
tcf(c_213277,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),X0) ),
inference(superposition,[status(thm)],[c_204619,c_106]) ).
tcf(c_213278,plain,
( leq(s(zero),sK10(sK7,sK8))
| ( s(sK10(sK7,sK8)) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204619,c_114]) ).
tcf(c_213280,plain,
( leq(zero,s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204619,c_203735]) ).
tcf(c_213326,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208818,c_213049]) ).
tcf(c_213354,plain,
! [X0: $i] :
( ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(X0),queue(host(sK6))) ),
inference(superposition,[status(thm)],[c_202369,c_202807]) ).
tcf(c_213355,plain,
! [X0: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(X0),queue(host(sK3))) ),
inference(superposition,[status(thm)],[c_202368,c_202807]) ).
tcf(c_213356,plain,
! [X0: $i] :
( ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ elem(m_Down(sK6),queue(host(X0))) ),
inference(light_normalisation,[status(thm)],[c_213355,c_202368]) ).
tcf(c_213418,plain,
! [X0: $i] :
( leq(host(sK8),sK9(X0,sK8))
| ( sK9(X0,sK8) = host(sK7) )
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(s(zero),sK9(X0,sK8))
| ~ elem(m_Ack(sK2,sK8),queue(host(sK2))) ),
inference(superposition,[status(thm)],[c_51,c_202282]) ).
tcf(c_213425,plain,
! [X0: $i] :
( ~ elem(m_Ack(sK2,sK8),queue(host(sK2)))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ leq(host(sK2),host(sK8))
| ( sK9(X0,sK8) = host(sK7) ) ),
inference(global_subsumption_just,[status(thm)],[c_213418,c_13919]) ).
tcf(c_213426,plain,
! [X0: $i] :
( ( sK9(X0,sK8) = host(sK7) )
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8)))
| ~ elem(m_Ack(sK2,sK8),queue(host(sK2))) ),
inference(renaming,[status(thm)],[c_213425]) ).
tcf(c_213435,plain,
! [X0: $i] :
( ( sK9(X0,sK8) = host(sK7) )
| ~ elem(m_Ack(sK2,sK8),sK0)
| ~ leq(host(sK2),host(sK8))
| ~ elem(m_Down(X0),queue(host(sK8))) ),
inference(superposition,[status(thm)],[c_201832,c_213426]) ).
tcf(c_213472,plain,
( ( sK9(sK6,sK8) = host(sK7) )
| ~ elem(m_Ack(sK2,sK8),sK0)
| ~ leq(host(sK2),host(sK8)) ),
inference(superposition,[status(thm)],[c_54,c_213435]) ).
tcf(c_213473,plain,
( ( sK9(sK7,sK8) = host(sK7) )
| ~ elem(m_Ack(sK2,sK8),sK0)
| ~ leq(host(sK2),host(sK8)) ),
inference(superposition,[status(thm)],[c_55,c_213435]) ).
tcf(c_213480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),
inference(superposition,[status(thm)],[c_212794,c_135]) ).
tcf(c_213481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12) != q_nil,
inference(superposition,[status(thm)],[c_212794,c_137]) ).
tcf(c_213482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12)),
inference(superposition,[status(thm)],[c_212794,c_101]) ).
tcf(c_213483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13)) ),
inference(superposition,[status(thm)],[c_212794,c_102]) ).
tcf(c_213484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13)) ),
inference(superposition,[status(thm)],[c_212794,c_103]) ).
tcf(c_213485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X0)),
inference(superposition,[status(thm)],[c_212794,c_203176]) ).
tcf(c_213486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X0))),
inference(superposition,[status(thm)],[c_212794,c_203596]) ).
tcf(c_213503,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X1))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_113,c_205062]) ).
tcf(c_213507,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| ( s(host(X0)) = nbr_proc )
| ~ leq(s(host(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_205062]) ).
tcf(c_213508,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_203667,c_205062]) ).
tcf(c_213512,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),X2)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208818,c_205062]) ).
tcf(c_213513,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_204008,c_205062]) ).
tcf(c_213527,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(X1)))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_207159,c_205062]) ).
tcf(c_213534,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( host(sK2) = nbr_proc )
| ~ leq(s(host(sK2)),X0) ),
inference(superposition,[status(thm)],[c_204701,c_205062]) ).
tcf(c_213643,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_113,c_205087]) ).
tcf(c_213647,plain,
( leq(s(zero),host(sK8))
| ( s(s(nbr_proc)) = nbr_proc )
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_205087]) ).
tcf(c_213648,plain,
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_203667,c_205087]) ).
tcf(c_213652,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208818,c_205087]) ).
tcf(c_213653,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_204008,c_205087]) ).
tcf(c_213666,plain,
leq(s(zero),s(s(s(s(s(s(s(s(nbr_proc))))))))),
inference(superposition,[status(thm)],[c_204514,c_205087]) ).
tcf(c_213667,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_207159,c_205087]) ).
tcf(c_213668,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206375,c_205087]) ).
tcf(c_213719,plain,
! [X0: $i] :
( leq(X0,s(host(sK8)))
| ( s(s(X0)) = nbr_proc )
| ~ leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_206377]) ).
tcf(c_213720,plain,
! [X0: $i] :
( leq(X0,s(host(sK8)))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_203667,c_206377]) ).
tcf(c_213724,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208818,c_206377]) ).
tcf(c_213742,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(X1))))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207159,c_206377]) ).
tcf(c_213772,plain,
( leq(zero,s(host(sK8)))
| ( s(s(nbr_proc)) = nbr_proc )
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_206889]) ).
tcf(c_213773,plain,
( leq(zero,s(host(sK8)))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_203667,c_206889]) ).
tcf(c_213777,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208818,c_206889]) ).
tcf(c_213792,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_207159,c_206889]) ).
tcf(c_213799,plain,
( leq(zero,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(light_normalisation,[status(thm)],[c_213773,c_202443]) ).
tcf(c_213805,plain,
( leq(zero,nbr_proc)
| ( s(s(nbr_proc)) = nbr_proc )
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_213772,c_202443]) ).
tcf(c_213810,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(s(zero),s(X0))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_204993]) ).
tcf(c_213814,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(s(zero),s(host(sK8)))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_204993,c_204714]) ).
tcf(c_213816,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(X1))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_204993,c_203571]) ).
tcf(c_213818,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X1))
| ( host(X0) = X1 )
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_204993,c_109]) ).
tcf(c_213819,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(s(zero),s(X2))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_204993,c_106]) ).
tcf(c_213822,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204993,c_208692]) ).
tcf(c_213824,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),X0)
| leq(s(zero),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204993,c_204891]) ).
tcf(c_213825,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_204993,c_202427]) ).
tcf(c_213840,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_204993,c_206377]) ).
tcf(c_213841,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(X1))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_204993,c_206704]) ).
tcf(c_213843,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_204993,c_202061]) ).
tcf(c_213861,plain,
! [X0: $i] :
( leq(host(sK8),host(X0))
| leq(s(zero),s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_204993,c_202057]) ).
tcf(c_213870,plain,
! [X0: $i] :
( leq(s(zero),s(host(sK7)))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_204993,c_206837]) ).
tcf(c_213872,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X2)
| leq(X2,s(X0))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_204993,c_202047]) ).
tcf(c_213873,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| ( s(X0) = s(zero) )
| ~ leq(s(X0),s(zero)) ),
inference(superposition,[status(thm)],[c_204993,c_109]) ).
tcf(c_213874,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X1)
| leq(X0,host(X2))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_204993,c_106]) ).
tcf(c_213909,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(s(zero),nbr_proc)
| ~ leq(s(host(X0)),X1) ),
inference(light_normalisation,[status(thm)],[c_213814,c_202443]) ).
tcf(c_214021,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_205004,c_202047]) ).
tcf(c_214022,plain,
! [X0: $i] :
( ( s(s(s(s(host(X0))))) = s(zero) )
| ~ leq(s(s(s(s(host(X0))))),s(zero)) ),
inference(superposition,[status(thm)],[c_205004,c_109]) ).
tcf(c_214023,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ~ leq(s(s(s(s(host(X0))))),X1) ),
inference(superposition,[status(thm)],[c_205004,c_106]) ).
tcf(c_214048,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(host(sK8)))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_206376,c_204714]) ).
tcf(c_214050,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_206376,c_203571]) ).
tcf(c_214052,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| ( s(s(X0)) = X1 )
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206376,c_109]) ).
tcf(c_214053,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,s(X2))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206376,c_106]) ).
tcf(c_214063,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_203574]) ).
tcf(c_214069,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(s(X0))))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206376,c_206377]) ).
tcf(c_214070,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206376,c_206704]) ).
tcf(c_214072,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(X0)))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_206376,c_202061]) ).
tcf(c_214073,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK6,sK8)))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206376,c_202063]) ).
tcf(c_214074,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK7,sK8)))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206376,c_202064]) ).
tcf(c_214082,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_206376,c_206889]) ).
tcf(c_214083,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206376,c_205087]) ).
tcf(c_214084,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206376,c_203221]) ).
tcf(c_214086,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_206376,c_202068]) ).
tcf(c_214087,plain,
! [X0: $i] :
( leq(X0,s(host(sK2)))
| leq(host(sK8),s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_206376,c_202057]) ).
tcf(c_214088,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(X0)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_206376,c_205062]) ).
tcf(c_214090,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_206376,c_204502]) ).
tcf(c_214093,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_206376,c_211870]) ).
tcf(c_214130,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| ~ leq(s(s(s(X0))),X1) ),
inference(light_normalisation,[status(thm)],[c_214048,c_202443]) ).
tcf(c_214283,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_110,c_214130]) ).
tcf(c_214286,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_113,c_214130]) ).
tcf(c_214290,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(sK8))
| ( s(s(s(X0))) = nbr_proc )
| ~ leq(s(s(s(X0))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_214130]) ).
tcf(c_214291,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_203667,c_214130]) ).
tcf(c_214295,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X1,nbr_proc)
| leq(X2,X0)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208818,c_214130]) ).
tcf(c_214296,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_204008,c_214130]) ).
tcf(c_214302,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(X1))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_204993,c_214130]) ).
tcf(c_214303,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(X1))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_204430,c_214130]) ).
tcf(c_214306,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207601,c_214130]) ).
tcf(c_214307,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206499,c_214130]) ).
tcf(c_214308,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_204010,c_214130]) ).
tcf(c_214310,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(superposition,[status(thm)],[c_204514,c_214130]) ).
tcf(c_214311,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_206376,c_214130]) ).
tcf(c_214312,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X1)))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_207159,c_214130]) ).
tcf(c_214314,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(X1)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207190,c_214130]) ).
tcf(c_214315,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206886,c_214130]) ).
tcf(c_214319,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),nbr_proc)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_202443,c_214130]) ).
tcf(c_214351,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(s(s(X0))) = nbr_proc )
| ~ leq(s(s(s(X0))),nbr_proc) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214290,c_202441]) ).
tcf(c_214415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),
inference(superposition,[status(thm)],[c_213480,c_135]) ).
tcf(c_214416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13) != q_nil,
inference(superposition,[status(thm)],[c_213480,c_137]) ).
tcf(c_214417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13)),
inference(superposition,[status(thm)],[c_213480,c_101]) ).
tcf(c_214418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14)) ),
inference(superposition,[status(thm)],[c_213480,c_102]) ).
tcf(c_214419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14)) ),
inference(superposition,[status(thm)],[c_213480,c_103]) ).
tcf(c_214420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X0)),
inference(superposition,[status(thm)],[c_213480,c_203176]) ).
tcf(c_214421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X0))),
inference(superposition,[status(thm)],[c_213480,c_203596]) ).
tcf(c_214454,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| ~ leq(s(nbr_proc),X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206974,c_204714]) ).
tcf(c_214455,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_206974,c_202428]) ).
tcf(c_214457,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(X0))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_206974,c_202047]) ).
tcf(c_214458,plain,
! [X0: $i] :
( ( s(X0) = host(sK8) )
| ~ leq(s(nbr_proc),X0)
| ~ leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_206974,c_109]) ).
tcf(c_214459,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| ~ leq(s(nbr_proc),X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_206974,c_106]) ).
tcf(c_214460,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( s(X0) = host(sK8) )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_206974,c_114]) ).
tcf(c_214522,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ~ leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_202443,c_207157]) ).
tcf(c_214523,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| ~ leq(s(host(sK8)),X0)
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_204714]) ).
tcf(c_214524,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| ~ leq(s(host(sK8)),X0) ),
inference(superposition,[status(thm)],[c_207157,c_202428]) ).
tcf(c_214525,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207157,c_203571]) ).
tcf(c_214526,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207157,c_202047]) ).
tcf(c_214527,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = X1 )
| ~ leq(s(X1),X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_109]) ).
tcf(c_214528,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| ~ leq(s(X2),X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_106]) ).
tcf(c_214529,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| ( s(s(X1)) = X0 )
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207157,c_114]) ).
tcf(c_214538,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(X0)))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207157,c_203574]) ).
tcf(c_214540,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(s(X1))))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_204994]) ).
tcf(c_214541,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(s(X1))))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_204431]) ).
tcf(c_214544,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(X1))))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_206377]) ).
tcf(c_214547,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X1)))
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_214130]) ).
tcf(c_214548,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(X1)))
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_202061]) ).
tcf(c_214549,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),X0) ),
inference(superposition,[status(thm)],[c_207157,c_202063]) ).
tcf(c_214550,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),X0) ),
inference(superposition,[status(thm)],[c_207157,c_202064]) ).
tcf(c_214558,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_206889]) ).
tcf(c_214559,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_205087]) ).
tcf(c_214560,plain,
! [X0: $i] :
( leq(host(sK8),s(s(X0)))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_203221]) ).
tcf(c_214562,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_202068]) ).
tcf(c_214563,plain,
! [X0: $i] :
( leq(host(sK8),s(s(X0)))
| ( host(sK2) = host(sK7) )
| ~ leq(s(host(sK2)),X0) ),
inference(superposition,[status(thm)],[c_207157,c_202057]) ).
tcf(c_214564,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(X1)))
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_205062]) ).
tcf(c_214566,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X1)))
| ~ leq(s(s(s(host(X0)))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_204502]) ).
tcf(c_214568,plain,
! [X0: $i] : ~ leq(s(s(s(s(s(s(s(s(s(X0))))))))),X0),
inference(superposition,[status(thm)],[c_207157,c_204971]) ).
tcf(c_214569,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| ~ leq(s(s(s(s(s(s(s(nbr_proc))))))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_211870]) ).
tcf(c_214574,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(light_normalisation,[status(thm)],[c_214524,c_202443]) ).
tcf(c_214621,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(X0))),X1) ),
inference(light_normalisation,[status(thm)],[c_214523,c_202443]) ).
tcf(c_214795,plain,
! [X0: $i] :
( ( s(s(X0)) = zero )
| ~ leq(s(nbr_proc),X0)
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_207221,c_109]) ).
tcf(c_214796,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ~ leq(s(nbr_proc),X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207221,c_106]) ).
tcf(c_214797,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ( s(s(X0)) = zero )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207221,c_114]) ).
tcf(c_214833,plain,
! [X0: $i] :
( ( s(s(X0)) = zero )
| ~ leq(host(sK8),X0)
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_207735,c_109]) ).
tcf(c_214834,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ~ leq(host(sK8),X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207735,c_106]) ).
tcf(c_214835,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ( s(s(X0)) = zero )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_207735,c_114]) ).
tcf(c_214885,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(zero,s(s(X0)))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_206392]) ).
tcf(c_214889,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,s(s(host(sK8))))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_206392,c_204714]) ).
tcf(c_214890,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(X0)))
| leq(zero,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_206392,c_202428]) ).
tcf(c_214891,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(X1))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_206392,c_203571]) ).
tcf(c_214892,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,host(X2))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_206392,c_202047]) ).
tcf(c_214893,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X1)))
| ( host(X0) = X1 )
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_206392,c_109]) ).
tcf(c_214894,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(zero,s(s(X2)))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_206392,c_106]) ).
tcf(c_214896,plain,
! [X0: $i] :
( leq(zero,s(s(host(sK2))))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_206392,c_203633]) ).
tcf(c_214897,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_206392,c_208692]) ).
tcf(c_214899,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),X0)
| leq(zero,s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206392,c_204891]) ).
tcf(c_214900,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_206392,c_202427]) ).
tcf(c_214908,plain,
( leq(zero,s(s(host(sK2))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_206392,c_202410]) ).
tcf(c_214915,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_206392,c_206377]) ).
tcf(c_214918,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(X1))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_206392,c_214130]) ).
tcf(c_214919,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_206392,c_202061]) ).
tcf(c_214937,plain,
! [X0: $i] :
( leq(host(sK8),host(X0))
| leq(zero,s(s(host(sK2))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_206392,c_202057]) ).
tcf(c_214946,plain,
! [X0: $i] :
( leq(zero,s(s(host(sK7))))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_206392,c_206837]) ).
tcf(c_214948,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,host(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206392,c_202047]) ).
tcf(c_214949,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| ( s(s(X0)) = zero )
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_206392,c_109]) ).
tcf(c_214950,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X0,host(X2))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206392,c_106]) ).
tcf(c_214954,plain,
! [X0: $i] :
( leq(zero,s(nbr_proc))
| leq(nbr_proc,s(host(X0))) ),
inference(light_normalisation,[status(thm)],[c_214890,c_202443]) ).
tcf(c_214986,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,s(nbr_proc))
| ~ leq(s(host(X0)),X1) ),
inference(light_normalisation,[status(thm)],[c_214889,c_202443]) ).
tcf(c_215020,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(s(X0)) = zero )
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_206394,c_109]) ).
tcf(c_215021,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,s(nbr_proc))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206394,c_106]) ).
tcf(c_215055,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(host(sK2)))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_206666]) ).
tcf(c_215058,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,s(host(sK8)))
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_206666,c_204714]) ).
tcf(c_215059,plain,
! [X0: $i] :
( leq(zero,s(host(sK8)))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_206666,c_202428]) ).
tcf(c_215061,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206666,c_202047]) ).
tcf(c_215062,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| ( s(host(X0)) = X1 )
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_206666,c_109]) ).
tcf(c_215063,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(zero,s(X2))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_206666,c_106]) ).
tcf(c_215064,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,host(X0))
| ( s(host(X0)) = X1 ) ),
inference(superposition,[status(thm)],[c_206666,c_114]) ).
tcf(c_215079,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(s(X0))))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_206666,c_206377]) ).
tcf(c_215082,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(X1)))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_206666,c_214130]) ).
tcf(c_215098,plain,
! [X0: $i] :
( leq(zero,s(host(sK2)))
| leq(host(sK8),s(host(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_206666,c_202057]) ).
tcf(c_215105,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(s(host(X0)))) ),
inference(light_normalisation,[status(thm)],[c_215059,c_202443]) ).
tcf(c_215123,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X1)
| ~ leq(s(s(host(X0))),X1) ),
inference(light_normalisation,[status(thm)],[c_215058,c_202443]) ).
tcf(c_215153,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(host(sK8)))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_206674,c_204714]) ).
tcf(c_215157,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ( s(s(nbr_proc)) = X0 )
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_206674,c_109]) ).
tcf(c_215158,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_206674,c_106]) ).
tcf(c_215177,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_206674,c_214130]) ).
tcf(c_215178,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_206674,c_202061]) ).
tcf(c_215205,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X0)
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(light_normalisation,[status(thm)],[c_215153,c_202443]) ).
tcf(c_215223,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_214522]) ).
tcf(c_215224,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_203667,c_214522]) ).
tcf(c_215225,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208818,c_214522]) ).
tcf(c_215255,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_214574,c_202047]) ).
tcf(c_215256,plain,
! [X0: $i] :
( ( s(s(s(X0))) = nbr_proc )
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(X0))),nbr_proc) ),
inference(superposition,[status(thm)],[c_214574,c_109]) ).
tcf(c_215258,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| ( s(s(s(X0))) = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_214574,c_114]) ).
tcf(c_215259,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_214574,c_203574]) ).
tcf(c_215260,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_214574,c_202466]) ).
tcf(c_215263,plain,
! [X0: $i] :
( leq(host(sK8),s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_214574,c_202431]) ).
tcf(c_215307,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203736,c_214621]) ).
tcf(c_215308,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_113,c_214621]) ).
tcf(c_215309,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_201841,c_214621]) ).
tcf(c_215310,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_116,c_214621]) ).
tcf(c_215311,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_201161,c_214621]) ).
tcf(c_215314,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_201592,c_214621]) ).
tcf(c_215315,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(s(s(s(X0)))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_201706,c_214621]) ).
tcf(c_215316,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(s(s(s(s(X0))))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_201871,c_214621]) ).
tcf(c_215317,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X2,X1)
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208818,c_214621]) ).
tcf(c_215318,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204008,c_214621]) ).
tcf(c_215319,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(s(s(s(s(s(X0)))))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203745,c_214621]) ).
tcf(c_215324,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X1))
| leq(zero,s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206392,c_214621]) ).
tcf(c_215325,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X1))
| leq(s(zero),s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204993,c_214621]) ).
tcf(c_215326,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X1))
| leq(zero,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204430,c_214621]) ).
tcf(c_215327,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X1))
| leq(s(zero),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204992,c_214621]) ).
tcf(c_215329,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(s(zero),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207601,c_214621]) ).
tcf(c_215330,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206499,c_214621]) ).
tcf(c_215331,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(zero,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204010,c_214621]) ).
tcf(c_215333,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204514,c_214621]) ).
tcf(c_215334,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(X1)))
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_214621]) ).
tcf(c_215335,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(X1)))
| leq(X1,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206376,c_214621]) ).
tcf(c_215336,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(X1)))
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_207159,c_214621]) ).
tcf(c_215337,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(X1)))
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206375,c_214621]) ).
tcf(c_215338,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(host(X1)))
| leq(zero,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206666,c_214621]) ).
tcf(c_215340,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(nbr_proc)))
| leq(zero,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206674,c_214621]) ).
tcf(c_215495,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Down(X0),queue(host(sK2))) ),
inference(equality_resolution,[status(thm)],[c_205475]) ).
tcf(c_215496,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Down(X0),queue(host(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215495,c_66]) ).
tcf(c_215509,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ elem(m_Down(X0),sK0)
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_201832,c_215496]) ).
tcf(c_215522,plain,
( ( host(sK2) = nbr_proc )
| ~ setIn(sK8,alive)
| ~ elem(m_Down(sK8),sK0) ),
inference(superposition,[status(thm)],[c_55,c_215509]) ).
tcf(c_215527,plain,
( ( host(sK2) = nbr_proc )
| ~ elem(m_Down(sK8),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215522,c_52]) ).
tcf(c_215536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),
inference(superposition,[status(thm)],[c_214415,c_135]) ).
tcf(c_215537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14) != q_nil,
inference(superposition,[status(thm)],[c_214415,c_137]) ).
tcf(c_215538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14)),
inference(superposition,[status(thm)],[c_214415,c_101]) ).
tcf(c_215539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15)) ),
inference(superposition,[status(thm)],[c_214415,c_102]) ).
tcf(c_215540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15)) ),
inference(superposition,[status(thm)],[c_214415,c_103]) ).
tcf(c_215541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X0)),
inference(superposition,[status(thm)],[c_214415,c_203176]) ).
tcf(c_215542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X0))),
inference(superposition,[status(thm)],[c_214415,c_203596]) ).
tcf(c_215575,plain,
! [X0: $i] :
( leq(zero,s(s(host(sK8))))
| ( host(X0) = nbr_proc )
| ~ leq(host(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_207779]) ).
tcf(c_215580,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK6,sK8),X0)
| leq(zero,s(s(sK10(sK6,sK8))))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_207779]) ).
tcf(c_215581,plain,
( leq(zero,s(s(sK10(sK6,sK8))))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_207779]) ).
tcf(c_215582,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK7,sK8),X0)
| leq(zero,s(s(sK10(sK7,sK8))))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_207779]) ).
tcf(c_215583,plain,
( leq(zero,s(s(sK10(sK7,sK8))))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_207779]) ).
tcf(c_215607,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(s(s(X1)))))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_207779]) ).
tcf(c_215609,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(s(s(X1)))))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_207779]) ).
tcf(c_215615,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ( host(sK2) = nbr_proc )
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_204701,c_207779]) ).
tcf(c_215625,plain,
! [X0: $i] :
( leq(zero,s(nbr_proc))
| ( host(X0) = nbr_proc )
| ~ leq(host(X0),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_215575,c_202443]) ).
tcf(c_215684,plain,
! [X0: $i] :
( leq(zero,s(host(sK8)))
| ( s(host(X0)) = nbr_proc )
| ~ leq(s(host(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_207823]) ).
tcf(c_215706,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(s(X1))))
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_207823]) ).
tcf(c_215717,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ( host(sK2) = nbr_proc )
| ~ leq(s(host(sK2)),X0) ),
inference(superposition,[status(thm)],[c_204701,c_207823]) ).
tcf(c_215725,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| ( s(host(X0)) = nbr_proc )
| ~ leq(s(host(X0)),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_215684,c_202443]) ).
tcf(c_215732,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(X0))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207866,c_202047]) ).
tcf(c_215733,plain,
! [X0: $i] :
( ( s(X0) = s(zero) )
| ~ leq(s(nbr_proc),X0)
| ~ leq(s(X0),s(zero)) ),
inference(superposition,[status(thm)],[c_207866,c_109]) ).
tcf(c_215734,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ~ leq(s(nbr_proc),X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207866,c_106]) ).
tcf(c_215735,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( s(X0) = s(zero) )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207866,c_114]) ).
tcf(c_215785,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(nbr_proc))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206973,c_204714]) ).
tcf(c_215789,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(X0) = host(sK8) )
| ~ leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_206973,c_109]) ).
tcf(c_215790,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_206973,c_106]) ).
tcf(c_215811,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_206983,c_106]) ).
tcf(c_215838,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207261,c_202047]) ).
tcf(c_215839,plain,
! [X0: $i] :
( ( s(X0) = s(zero) )
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),s(zero)) ),
inference(superposition,[status(thm)],[c_207261,c_109]) ).
tcf(c_215840,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207261,c_106]) ).
tcf(c_215841,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( s(X0) = s(zero) )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207261,c_114]) ).
tcf(c_215863,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_207865,c_202047]) ).
tcf(c_215864,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(X0) = s(zero) )
| ~ leq(s(X0),s(zero)) ),
inference(superposition,[status(thm)],[c_207865,c_109]) ).
tcf(c_215865,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(s(zero),X1)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207865,c_106]) ).
tcf(c_215916,plain,
! [X0: $i] :
( ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK6))) ),
inference(superposition,[status(thm)],[c_202369,c_203353]) ).
tcf(c_215917,plain,
! [X0: $i] :
( ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK3))) ),
inference(superposition,[status(thm)],[c_202368,c_203353]) ).
tcf(c_215919,plain,
! [X0: $i] :
( ( host(X0) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(host(X0),index(down,nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_215916,c_202369]) ).
tcf(c_215938,plain,
! [X0: $i] :
( ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK6))) ),
inference(superposition,[status(thm)],[c_202369,c_203389]) ).
tcf(c_215939,plain,
! [X0: $i] :
( ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK3))) ),
inference(superposition,[status(thm)],[c_202368,c_203389]) ).
tcf(c_215940,plain,
! [X0: $i] :
( ( host(X0) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(host(X0),index(down,nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_215939,c_202368]) ).
tcf(c_215962,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X0),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,host(X0))) ),
inference(equality_resolution,[status(thm)],[c_205474]) ).
tcf(c_215963,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ elem(m_Down(X0),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,host(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215962,c_66]) ).
tcf(c_215997,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ elem(m_Down(X0),queue(host(sK2)))
| ~ setIn(host(sK2),index(down,host(X0))) ),
inference(superposition,[status(thm)],[c_204701,c_215963]) ).
tcf(c_215999,plain,
( ( host(sK2) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ elem(m_Down(sK6),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,nbr_proc)) ),
inference(superposition,[status(thm)],[c_202369,c_215963]) ).
tcf(c_216000,plain,
( ( host(sK2) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ elem(m_Down(sK3),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,nbr_proc)) ),
inference(superposition,[status(thm)],[c_202368,c_215963]) ).
tcf(c_216017,plain,
( ~ setIn(sK6,alive)
| ~ elem(m_Down(sK6),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,nbr_proc)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215999,c_202821]) ).
tcf(c_216032,plain,
( ~ setIn(sK3,alive)
| ~ elem(m_Down(sK3),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,nbr_proc)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216000,c_202487]) ).
tcf(c_216043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),
inference(superposition,[status(thm)],[c_215536,c_135]) ).
tcf(c_216044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15) != q_nil,
inference(superposition,[status(thm)],[c_215536,c_137]) ).
tcf(c_216045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15)),
inference(superposition,[status(thm)],[c_215536,c_101]) ).
tcf(c_216046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16)) ),
inference(superposition,[status(thm)],[c_215536,c_102]) ).
tcf(c_216047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16)) ),
inference(superposition,[status(thm)],[c_215536,c_103]) ).
tcf(c_216048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X0)),
inference(superposition,[status(thm)],[c_215536,c_203176]) ).
tcf(c_216049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X0))),
inference(superposition,[status(thm)],[c_215536,c_203596]) ).
tcf(c_216066,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_113,c_202065]) ).
tcf(c_216070,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( s(s(s(s(X0)))) = nbr_proc )
| ~ leq(s(s(s(s(X0)))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202065]) ).
tcf(c_216071,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_203667,c_202065]) ).
tcf(c_216075,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208818,c_202065]) ).
tcf(c_216076,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_204008,c_202065]) ).
tcf(c_216078,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206197,c_202065]) ).
tcf(c_216080,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_203668,c_202065]) ).
tcf(c_216082,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(zero,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_206392,c_202065]) ).
tcf(c_216083,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(s(zero),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_204993,c_202065]) ).
tcf(c_216087,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_207601,c_202065]) ).
tcf(c_216088,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_206499,c_202065]) ).
tcf(c_216089,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_204010,c_202065]) ).
tcf(c_216091,plain,
! [X0: $i] : leq(X0,s(s(s(s(s(s(s(s(s(s(X0))))))))))),
inference(superposition,[status(thm)],[c_204514,c_202065]) ).
tcf(c_216092,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(X1)))
| ~ leq(s(s(s(s(s(X0))))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_202065]) ).
tcf(c_216093,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(X0)))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_206376,c_202065]) ).
tcf(c_216096,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_206666,c_202065]) ).
tcf(c_216098,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_206674,c_202065]) ).
tcf(c_216205,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| ~ leq(s(s(s(host(X0)))),X1) ),
inference(superposition,[status(thm)],[c_113,c_202069]) ).
tcf(c_216209,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| ( s(s(s(host(X0)))) = nbr_proc )
| ~ leq(s(s(s(host(X0)))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202069]) ).
tcf(c_216210,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_203667,c_202069]) ).
tcf(c_216214,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208818,c_202069]) ).
tcf(c_216215,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_204008,c_202069]) ).
tcf(c_216230,plain,
! [X0: $i] : leq(zero,s(s(s(s(s(s(s(s(s(host(X0))))))))))),
inference(superposition,[status(thm)],[c_204514,c_202069]) ).
tcf(c_216231,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X1)))
| ~ leq(s(s(s(s(host(X0))))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_202069]) ).
tcf(c_216232,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_206376,c_202069]) ).
tcf(c_216243,plain,
! [X0: $i] :
( leq(zero,X0)
| ( host(sK2) = nbr_proc )
| ~ leq(s(s(s(host(sK2)))),X0) ),
inference(superposition,[status(thm)],[c_204701,c_202069]) ).
tcf(c_216287,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_113,c_203410]) ).
tcf(c_216291,plain,
( leq(host(sK8),host(sK8))
| ( s(s(s(nbr_proc))) = nbr_proc )
| ~ leq(s(s(s(nbr_proc))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_203410]) ).
tcf(c_216292,plain,
( leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_203667,c_203410]) ).
tcf(c_216296,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208818,c_203410]) ).
tcf(c_216297,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204008,c_203410]) ).
tcf(c_216312,plain,
leq(host(sK8),s(s(s(s(s(s(s(s(s(nbr_proc)))))))))),
inference(superposition,[status(thm)],[c_204514,c_203410]) ).
tcf(c_216313,plain,
! [X0: $i] :
( leq(host(sK8),s(s(X0)))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_203410]) ).
tcf(c_216314,plain,
! [X0: $i] :
( leq(host(sK8),s(s(X0)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_206376,c_203410]) ).
tcf(c_216366,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(sK10(sK6,sK8),X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203421,c_202047]) ).
tcf(c_216367,plain,
! [X0: $i] :
( ( sK10(sK6,sK8) = X0 )
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(X0,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_203421,c_109]) ).
tcf(c_216368,plain,
! [X0: $i,X1: $i] :
( leq(sK10(sK6,sK8),X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_203421,c_106]) ).
tcf(c_216369,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_12
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203421,c_114]) ).
tcf(c_216375,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_12
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203421,c_202063]) ).
tcf(c_216427,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_207874,c_202047]) ).
tcf(c_216428,plain,
( ( s(s(s(s(s(nbr_proc))))) = s(zero) )
| ~ leq(s(s(s(s(s(nbr_proc))))),s(zero)) ),
inference(superposition,[status(thm)],[c_207874,c_109]) ).
tcf(c_216429,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_207874,c_106]) ).
tcf(c_216444,plain,
( leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_202443,c_208030]) ).
tcf(c_216449,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| ( s(s(s(X0))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_208030,c_114]) ).
tcf(c_216450,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208030,c_203574]) ).
tcf(c_216466,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,host(sK8))
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_208835,c_204714]) ).
tcf(c_216468,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208835,c_203571]) ).
tcf(c_216470,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( s(s(s(X0))) = X1 )
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_208835,c_109]) ).
tcf(c_216471,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_208835,c_106]) ).
tcf(c_216472,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(X0)))
| ( s(s(s(X0))) = X1 ) ),
inference(superposition,[status(thm)],[c_208835,c_114]) ).
tcf(c_216489,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(s(X1)))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208835,c_206704]) ).
tcf(c_216491,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(s(X1))))
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208835,c_214621]) ).
tcf(c_216492,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(s(s(X0))))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208835,c_214130]) ).
tcf(c_216494,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| leq(s(zero),s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208835,c_202063]) ).
tcf(c_216495,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| leq(s(zero),s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208835,c_202064]) ).
tcf(c_216496,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(s(X0))))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208835,c_202065]) ).
tcf(c_216505,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208835,c_205087]) ).
tcf(c_216506,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208835,c_203221]) ).
tcf(c_216508,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208835,c_203410]) ).
tcf(c_216510,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(host(sK8),s(s(s(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208835,c_202057]) ).
tcf(c_216515,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(s(X0))))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208835,c_202069]) ).
tcf(c_216516,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208835,c_204770]) ).
tcf(c_216518,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208835,c_211870]) ).
tcf(c_216592,plain,
( ( host(sK2) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ elem(m_Down(sK6),queue(host(sK2)))
| ~ setIn(host(sK2),index(down,nbr_proc)) ),
inference(superposition,[status(thm)],[c_202369,c_215997]) ).
tcf(c_216593,plain,
( ( host(sK2) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ elem(m_Down(sK3),queue(host(sK2)))
| ~ setIn(host(sK2),index(down,nbr_proc)) ),
inference(superposition,[status(thm)],[c_202368,c_215997]) ).
tcf(c_216630,plain,
! [X0: $i,X1: $i] :
( ( host(sK7) = nbr_proc )
| ( host(sK2) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(host(sK7)))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_202619]) ).
tcf(c_216659,plain,
! [X0: $i,X1: $i] :
( ( host(sK7) = nbr_proc )
| ( host(sK2) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(host(sK7)))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_202944]) ).
tcf(c_216688,plain,
! [X0: $i,X1: $i] :
( ( host(sK7) = nbr_proc )
| ( host(sK2) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X0),queue(host(sK7)))
| ~ setIn(host(X1),index(down,nbr_proc))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_202635]) ).
tcf(c_216691,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK7),index(down,nbr_proc))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_202635]) ).
tcf(c_216694,plain,
! [X0: $i,X1: $i] :
( ( host(X1) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| ~ setIn(host(X1),index(down,nbr_proc))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(equality_resolution,[status(thm)],[c_202635]) ).
tcf(c_216755,plain,
! [X0: $i,X1: $i] :
( ( host(sK7) = nbr_proc )
| ( host(sK2) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X0),queue(host(sK7)))
| ~ setIn(host(X1),index(down,nbr_proc))
| ( host(X1) != host(sK2) )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_202960]) ).
tcf(c_216758,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK7),index(down,nbr_proc))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(superposition,[status(thm)],[c_204701,c_202960]) ).
tcf(c_216761,plain,
! [X0: $i,X1: $i] :
( ( host(X1) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ setIn(host(X1),index(down,nbr_proc))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(equality_resolution,[status(thm)],[c_202960]) ).
tcf(c_216786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),
inference(superposition,[status(thm)],[c_216043,c_135]) ).
tcf(c_216787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16) != q_nil,
inference(superposition,[status(thm)],[c_216043,c_137]) ).
tcf(c_216788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16)),
inference(superposition,[status(thm)],[c_216043,c_101]) ).
tcf(c_216789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17)) ),
inference(superposition,[status(thm)],[c_216043,c_102]) ).
tcf(c_216790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17)) ),
inference(superposition,[status(thm)],[c_216043,c_103]) ).
tcf(c_216791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X0)),
inference(superposition,[status(thm)],[c_216043,c_203176]) ).
tcf(c_216792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X0))),
inference(superposition,[status(thm)],[c_216043,c_203596]) ).
tcf(c_216856,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_203736,c_203535]) ).
tcf(c_216857,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_203535]) ).
tcf(c_216858,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_201841,c_203535]) ).
tcf(c_216859,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(host(sK8),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_203535]) ).
tcf(c_216865,plain,
( leq(nbr_proc,nbr_proc)
| leq(host(sK8),s(host(sK2)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_203535]) ).
tcf(c_216869,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(host(sK8),host(sK8)) ),
inference(superposition,[status(thm)],[c_203667,c_203535]) ).
tcf(c_216874,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_201871,c_203535]) ).
tcf(c_216883,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_206389,c_203535]) ).
tcf(c_216885,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1)
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208818,c_203535]) ).
tcf(c_216887,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202052,c_203535]) ).
tcf(c_216889,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),X0)
| leq(sK10(sK6,sK8),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_203535]) ).
tcf(c_216890,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),X0)
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_203535]) ).
tcf(c_216891,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),X0)
| leq(sK10(sK7,sK8),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_203535]) ).
tcf(c_216892,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),X0)
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_203535]) ).
tcf(c_216894,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_204008,c_203535]) ).
tcf(c_216899,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_203745,c_203535]) ).
tcf(c_216903,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_204230,c_203535]) ).
tcf(c_216905,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK8))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_203667,c_203535]) ).
tcf(c_216925,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(host(sK8),s(s(X0)))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_203535]) ).
tcf(c_216926,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK8))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_203811,c_203535]) ).
tcf(c_216927,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(s(X1)))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_206392,c_203535]) ).
tcf(c_216928,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(X1))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_204993,c_203535]) ).
tcf(c_216929,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_204430,c_203535]) ).
tcf(c_216930,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_204992,c_203535]) ).
tcf(c_216931,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_204429,c_203535]) ).
tcf(c_216950,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_204514,c_203535]) ).
tcf(c_216960,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207157,c_203535]) ).
tcf(c_216961,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206376,c_203535]) ).
tcf(c_216962,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207159,c_203535]) ).
tcf(c_216963,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206375,c_203535]) ).
tcf(c_216964,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_206666,c_203535]) ).
tcf(c_216965,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_207190,c_203535]) ).
tcf(c_216968,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_206326,c_203535]) ).
tcf(c_216969,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(host(sK8),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_214574,c_203535]) ).
tcf(c_216976,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_206181,c_203535]) ).
tcf(c_216977,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),nbr_proc)
| leq(host(sK8),host(X0))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_206186,c_203535]) ).
tcf(c_216978,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),nbr_proc)
| leq(host(sK8),host(X0))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_206187,c_203535]) ).
tcf(c_216981,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208835,c_203535]) ).
tcf(c_217151,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) ),
inference(global_subsumption_just,[status(thm)],[c_203570,c_34956]) ).
tcf(c_217172,plain,
( leq(zero,s(zero))
| leq(sK10(sK6,sK8),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_217151]) ).
tcf(c_217174,plain,
( leq(zero,s(zero))
| leq(sK10(sK7,sK8),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_217151]) ).
tcf(c_217201,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(sK10(sK7,sK8),X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203604,c_202047]) ).
tcf(c_217202,plain,
! [X0: $i] :
( ( sK10(sK7,sK8) = X0 )
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(X0,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_203604,c_109]) ).
tcf(c_217203,plain,
! [X0: $i,X1: $i] :
( leq(sK10(sK7,sK8),X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_203604,c_106]) ).
tcf(c_217204,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_12
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203604,c_114]) ).
tcf(c_217238,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| ( X0 = zero )
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_208857,c_109]) ).
tcf(c_217239,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,nbr_proc)
| leq(X0,X2)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208857,c_106]) ).
tcf(c_217243,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X0)
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208857,c_204891]) ).
tcf(c_217247,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,X1)
| leq(X1,host(sK8))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_208857,c_204714]) ).
tcf(c_217252,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ( X0 = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208857,c_109]) ).
tcf(c_217253,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(X1,X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208857,c_106]) ).
tcf(c_217276,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208857,c_202065]) ).
tcf(c_217277,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208857,c_208639]) ).
tcf(c_217285,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208857,c_203221]) ).
tcf(c_217287,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208857,c_203410]) ).
tcf(c_217289,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| leq(X0,host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208857,c_202057]) ).
tcf(c_217298,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(zero,host(sK8))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208857,c_204714]) ).
tcf(c_217300,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208857,c_203535]) ).
tcf(c_217301,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,nbr_proc)
| leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_208857,c_203571]) ).
tcf(c_217303,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208857,c_109]) ).
tcf(c_217304,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X0,nbr_proc)
| leq(X2,X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208857,c_106]) ).
tcf(c_217305,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(s(X0),nbr_proc)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_208857,c_114]) ).
tcf(c_217309,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208857,c_208692]) ).
tcf(c_217311,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(host(sK8),nbr_proc)
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208857,c_204891]) ).
tcf(c_217340,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208857,c_202065]) ).
tcf(c_217371,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK2))
| leq(host(sK8),X0)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208857,c_202057]) ).
tcf(c_217500,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),host(sK8))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_208859,c_204714]) ).
tcf(c_217505,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( s(s(nbr_proc)) = X0 )
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_208859,c_109]) ).
tcf(c_217506,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_208859,c_106]) ).
tcf(c_217524,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208859,c_206704]) ).
tcf(c_217526,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(nbr_proc)))
| leq(host(sK8),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208859,c_214621]) ).
tcf(c_217527,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208859,c_214130]) ).
tcf(c_217531,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208859,c_202065]) ).
tcf(c_217566,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_208867,c_204714]) ).
tcf(c_217571,plain,
! [X0: $i] :
( leq(zero,X0)
| ( s(s(s(nbr_proc))) = X0 )
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_208867,c_109]) ).
tcf(c_217572,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_208867,c_106]) ).
tcf(c_217593,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc))))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208867,c_214130]) ).
tcf(c_217597,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208867,c_202065]) ).
tcf(c_217633,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(host(sK2))))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_208879]) ).
tcf(c_217636,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,host(sK8))
| ~ leq(s(s(s(host(X0)))),X1) ),
inference(superposition,[status(thm)],[c_208879,c_204714]) ).
tcf(c_217638,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(host(sK8),s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_208879,c_203535]) ).
tcf(c_217641,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ( s(s(host(X0))) = X1 )
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_208879,c_109]) ).
tcf(c_217642,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_208879,c_106]) ).
tcf(c_217643,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(host(X0)))
| ( s(s(host(X0))) = X1 ) ),
inference(superposition,[status(thm)],[c_208879,c_114]) ).
tcf(c_217660,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(s(X1)))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_208879,c_206704]) ).
tcf(c_217663,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(host(X1))))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208879,c_214130]) ).
tcf(c_217667,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(host(X1))))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208879,c_202065]) ).
tcf(c_217681,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(host(sK8),s(s(host(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208879,c_202057]) ).
tcf(c_217744,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK7))) ),
inference(superposition,[status(thm)],[c_204701,c_207492]) ).
tcf(c_217747,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK2) )
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK2))) ),
inference(equality_resolution,[status(thm)],[c_207492]) ).
tcf(c_217748,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217747,c_66]) ).
tcf(c_217772,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(host(X0),index(down,host(sK2)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(global_subsumption_just,[status(thm)],[c_217748,c_38732]) ).
tcf(c_217773,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(sK2))) ),
inference(renaming,[status(thm)],[c_217772]) ).
tcf(c_217783,plain,
( ( host(sK2) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ elem(m_Down(sK7),queue(host(sK6)))
| ~ setIn(nbr_proc,index(down,host(sK2))) ),
inference(superposition,[status(thm)],[c_202369,c_217773]) ).
tcf(c_217784,plain,
( ( host(sK2) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ elem(m_Down(sK7),queue(host(sK3)))
| ~ setIn(nbr_proc,index(down,host(sK2))) ),
inference(superposition,[status(thm)],[c_202368,c_217773]) ).
tcf(c_217785,plain,
( ( host(sK2) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ elem(m_Down(sK7),queue(nbr_proc))
| ~ setIn(nbr_proc,index(down,host(sK2))) ),
inference(light_normalisation,[status(thm)],[c_217784,c_202368]) ).
tcf(c_217790,plain,
( ( host(sK2) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ elem(m_Down(sK7),queue(nbr_proc))
| ~ setIn(nbr_proc,index(down,host(sK2))) ),
inference(light_normalisation,[status(thm)],[c_217783,c_202369]) ).
tcf(c_217809,plain,
( ( sK7 = sK3 )
| ( host(sK2) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(sK7,alive)
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,nbr_proc) != norm )
| ( index(ldr,host(sK2)) != host(sK2) )
| ( index(status,host(sK7)) != norm ) ),
inference(superposition,[status(thm)],[c_204701,c_202643]) ).
tcf(c_217834,plain,
( ( sK7 = sK6 )
| ( host(sK2) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(sK7,alive)
| ( index(ldr,nbr_proc) != nbr_proc )
| ( index(status,nbr_proc) != norm )
| ( index(ldr,host(sK2)) != host(sK2) )
| ( index(status,host(sK7)) != norm ) ),
inference(superposition,[status(thm)],[c_204701,c_202968]) ).
tcf(c_217845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),
inference(superposition,[status(thm)],[c_216786,c_135]) ).
tcf(c_217846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17) != q_nil,
inference(superposition,[status(thm)],[c_216786,c_137]) ).
tcf(c_217847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17)),
inference(superposition,[status(thm)],[c_216786,c_101]) ).
tcf(c_217848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18)) ),
inference(superposition,[status(thm)],[c_216786,c_102]) ).
tcf(c_217849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18)) ),
inference(superposition,[status(thm)],[c_216786,c_103]) ).
tcf(c_217850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X0)),
inference(superposition,[status(thm)],[c_216786,c_203176]) ).
tcf(c_217851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X0))),
inference(superposition,[status(thm)],[c_216786,c_203596]) ).
tcf(c_217857,plain,
! [X0: $i,X1: $i] :
( elem(m_Ack(sK2,sK3),snoc(queue(host(sK2)),X1))
| ( m_Ack(sK2,sK3) = X0 ) ),
inference(superposition,[status(thm)],[c_203653,c_100]) ).
tcf(c_217871,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203736,c_203775]) ).
tcf(c_217872,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_113,c_203775]) ).
tcf(c_217874,plain,
( leq(zero,host(sK8))
| ( sK10(sK6,sK8) = nbr_proc )
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_203775]) ).
tcf(c_217875,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203667,c_203775]) ).
tcf(c_217877,plain,
( leq(zero,s(s(s(sK10(sK6,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201706,c_203775]) ).
tcf(c_217878,plain,
( leq(zero,s(s(s(s(sK10(sK6,sK8))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201871,c_203775]) ).
tcf(c_217879,plain,
( leq(zero,host(sK8))
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201751,c_203775]) ).
tcf(c_217880,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208818,c_203775]) ).
tcf(c_217881,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ iPr_def_12
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203421,c_203775]) ).
tcf(c_217884,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204008,c_203775]) ).
tcf(c_217885,plain,
( leq(zero,s(s(s(s(s(sK10(sK6,sK8)))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203745,c_203775]) ).
tcf(c_217898,plain,
( leq(zero,s(s(s(s(s(s(sK10(sK6,sK8))))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204514,c_203775]) ).
tcf(c_217899,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),X0) ),
inference(superposition,[status(thm)],[c_207157,c_203775]) ).
tcf(c_217900,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206376,c_203775]) ).
tcf(c_217901,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_207159,c_203775]) ).
tcf(c_217902,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206375,c_203775]) ).
tcf(c_217910,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| leq(zero,s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208835,c_203775]) ).
tcf(c_218004,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203736,c_203787]) ).
tcf(c_218005,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_113,c_203787]) ).
tcf(c_218007,plain,
( leq(zero,host(sK8))
| ( sK10(sK7,sK8) = nbr_proc )
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_203787]) ).
tcf(c_218008,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203667,c_203787]) ).
tcf(c_218010,plain,
( leq(zero,s(s(s(sK10(sK7,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201706,c_203787]) ).
tcf(c_218011,plain,
( leq(zero,s(s(s(s(sK10(sK7,sK8))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201871,c_203787]) ).
tcf(c_218013,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208818,c_203787]) ).
tcf(c_218017,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204008,c_203787]) ).
tcf(c_218018,plain,
( leq(zero,s(s(s(s(s(sK10(sK7,sK8)))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203745,c_203787]) ).
tcf(c_218031,plain,
( leq(zero,s(s(s(s(s(s(sK10(sK7,sK8))))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204514,c_203787]) ).
tcf(c_218032,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),X0) ),
inference(superposition,[status(thm)],[c_207157,c_203787]) ).
tcf(c_218033,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206376,c_203787]) ).
tcf(c_218034,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_207159,c_203787]) ).
tcf(c_218035,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206375,c_203787]) ).
tcf(c_218043,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| leq(zero,s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208835,c_203787]) ).
tcf(c_218148,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_113,c_203989]) ).
tcf(c_218152,plain,
( leq(zero,host(sK8))
| ( s(s(s(s(nbr_proc)))) = nbr_proc )
| ~ leq(s(s(s(s(nbr_proc)))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_203989]) ).
tcf(c_218153,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_203667,c_203989]) ).
tcf(c_218157,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208818,c_203989]) ).
tcf(c_218158,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204008,c_203989]) ).
tcf(c_218173,plain,
leq(zero,s(s(s(s(s(s(s(s(s(s(nbr_proc))))))))))),
inference(superposition,[status(thm)],[c_204514,c_203989]) ).
tcf(c_218174,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_203989]) ).
tcf(c_218175,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_206376,c_203989]) ).
tcf(c_218186,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208835,c_203989]) ).
tcf(c_218222,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(host(sK2)))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_208896]) ).
tcf(c_218225,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(s(zero),host(sK8))
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_208896,c_204714]) ).
tcf(c_218227,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_208896,c_203535]) ).
tcf(c_218230,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ( s(host(X0)) = X1 )
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_208896,c_109]) ).
tcf(c_218231,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(s(zero),X2)
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_208896,c_106]) ).
tcf(c_218232,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,host(X0))
| ( s(host(X0)) = X1 ) ),
inference(superposition,[status(thm)],[c_208896,c_114]) ).
tcf(c_218249,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(X1)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208896,c_206704]) ).
tcf(c_218251,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(host(X1)))
| leq(s(zero),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208896,c_214621]) ).
tcf(c_218252,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(X1)))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208896,c_214130]) ).
tcf(c_218258,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208896,c_202065]) ).
tcf(c_218273,plain,
! [X0: $i] :
( leq(s(zero),host(sK2))
| leq(host(sK8),s(host(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208896,c_202057]) ).
tcf(c_218359,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_208900,c_204714]) ).
tcf(c_218364,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( s(s(nbr_proc)) = X0 )
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_208900,c_109]) ).
tcf(c_218365,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_208900,c_106]) ).
tcf(c_218383,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208900,c_206704]) ).
tcf(c_218385,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208900,c_214621]) ).
tcf(c_218386,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208900,c_214130]) ).
tcf(c_218392,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208900,c_202065]) ).
tcf(c_218450,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_210347,c_202047]) ).
tcf(c_218451,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(s(X0)) = s(zero) )
| ~ leq(s(s(X0)),s(zero)) ),
inference(superposition,[status(thm)],[c_210347,c_109]) ).
tcf(c_218452,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),X1)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_210347,c_106]) ).
tcf(c_218502,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_210349,c_203535]) ).
tcf(c_218503,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_210349,c_203571]) ).
tcf(c_218504,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_210349,c_202047]) ).
tcf(c_218505,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(s(X0)) = host(sK8) )
| ~ leq(s(s(X0)),host(sK8)) ),
inference(superposition,[status(thm)],[c_210349,c_109]) ).
tcf(c_218506,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X1)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_210349,c_106]) ).
tcf(c_218536,plain,
! [X0: $i,X1: $i] :
( ( host(X0) != host(sK2) )
| ( host(X1) != nbr_proc )
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| ( host(X0) = host(X1) ) ),
inference(global_subsumption_just,[status(thm)],[c_205472,c_38756]) ).
tcf(c_218537,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(renaming,[status(thm)],[c_218536]) ).
tcf(c_218552,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK7)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_218537]) ).
tcf(c_218553,plain,
! [X0: $i] :
( ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK6)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(sK2) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_218537]) ).
tcf(c_218554,plain,
! [X0: $i] :
( ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK3)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(sK2) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_218537]) ).
tcf(c_218555,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK2)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(equality_resolution,[status(thm)],[c_218537]) ).
tcf(c_218556,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK2)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218555,c_66]) ).
tcf(c_218571,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK2)))
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_218556,c_39589]) ).
tcf(c_218582,plain,
! [X0: $i,X1: $i] :
( ( host(X0) != host(sK2) )
| ( host(X1) != nbr_proc )
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| ( host(X0) = host(X1) ) ),
inference(global_subsumption_just,[status(thm)],[c_205473,c_39491]) ).
tcf(c_218583,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(renaming,[status(thm)],[c_218582]) ).
tcf(c_218598,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK7)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_218583]) ).
tcf(c_218599,plain,
! [X0: $i] :
( ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK6)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(sK2) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_218583]) ).
tcf(c_218600,plain,
! [X0: $i] :
( ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK3)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(sK2) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_218583]) ).
tcf(c_218601,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK2)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(equality_resolution,[status(thm)],[c_218583]) ).
tcf(c_218602,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK2)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218601,c_66]) ).
tcf(c_218617,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK2)))
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_218602,c_40108]) ).
tcf(c_218632,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X1) != host(sK2) ) ),
inference(global_subsumption_just,[status(thm)],[c_207404,c_5764,c_21245,c_24898]) ).
tcf(c_218633,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X1) = host(X0) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(renaming,[status(thm)],[c_218632]) ).
tcf(c_218634,plain,
! [X0: $i,X1: $i] :
( ( host(X0) != host(sK2) )
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| ( host(X1) = host(X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_218633,c_5764,c_6296,c_12285,c_39568]) ).
tcf(c_218635,plain,
! [X0: $i,X1: $i] :
( ( host(X1) = host(X0) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(renaming,[status(thm)],[c_218634]) ).
tcf(c_218648,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK7)))
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_204701,c_218635]) ).
tcf(c_218649,plain,
! [X0: $i] :
( ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK6)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(sK2) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_218635]) ).
tcf(c_218650,plain,
! [X0: $i] :
( ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK3)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(sK2) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_218635]) ).
tcf(c_218651,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK2)))
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(equality_resolution,[status(thm)],[c_218635]) ).
tcf(c_218659,plain,
! [X0: $i] :
( ( host(X0) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(nbr_proc))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(sK2) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_218650,c_202368]) ).
tcf(c_218660,plain,
! [X0: $i] :
( ( host(X0) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(nbr_proc))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(sK2) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_218649,c_202369]) ).
tcf(c_218661,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(X1) != host(sK2) ) ),
inference(global_subsumption_just,[status(thm)],[c_207405,c_5764,c_21245,c_24899]) ).
tcf(c_218662,plain,
! [X0: $i,X1: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X1) = host(X0) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(renaming,[status(thm)],[c_218661]) ).
tcf(c_218663,plain,
! [X0: $i,X1: $i] :
( ( host(X0) != host(sK2) )
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| ( host(X1) = host(X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_218662,c_5764,c_5969,c_12286,c_40087]) ).
tcf(c_218664,plain,
! [X0: $i,X1: $i] :
( ( host(X1) = host(X0) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(renaming,[status(thm)],[c_218663]) ).
tcf(c_218677,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK7)))
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_204701,c_218664]) ).
tcf(c_218678,plain,
! [X0: $i] :
( ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK6)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(sK2) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_218664]) ).
tcf(c_218679,plain,
! [X0: $i] :
( ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK3)))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(sK2) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_218664]) ).
tcf(c_218680,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK2)))
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(equality_resolution,[status(thm)],[c_218664]) ).
tcf(c_218688,plain,
! [X0: $i] :
( ( host(X0) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(nbr_proc))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(sK2) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_218679,c_202368]) ).
tcf(c_218689,plain,
! [X0: $i] :
( ( host(X0) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(nbr_proc))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ( host(sK2) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_218678,c_202369]) ).
tcf(c_218708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),
inference(superposition,[status(thm)],[c_217845,c_135]) ).
tcf(c_218709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18) != q_nil,
inference(superposition,[status(thm)],[c_217845,c_137]) ).
tcf(c_218710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18)),
inference(superposition,[status(thm)],[c_217845,c_101]) ).
tcf(c_218711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19)) ),
inference(superposition,[status(thm)],[c_217845,c_102]) ).
tcf(c_218712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19)) ),
inference(superposition,[status(thm)],[c_217845,c_103]) ).
tcf(c_218713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X0)),
inference(superposition,[status(thm)],[c_217845,c_203176]) ).
tcf(c_218714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X0))),
inference(superposition,[status(thm)],[c_217845,c_203596]) ).
tcf(c_218750,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_206197,c_204001]) ).
tcf(c_218754,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1)
| leq(zero,s(X0)) ),
inference(superposition,[status(thm)],[c_208857,c_204001]) ).
tcf(c_218757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,X3)
| leq(X1,X2)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208818,c_204001]) ).
tcf(c_218762,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,s(X1))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_204001]) ).
tcf(c_218768,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204001]) ).
tcf(c_218769,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_203667,c_204001]) ).
tcf(c_218775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X2)
| leq(X2,X0)
| leq(X1,X3)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208818,c_204001]) ).
tcf(c_218776,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_204008,c_204001]) ).
tcf(c_218784,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207866,c_204001]) ).
tcf(c_218787,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,host(X2))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206392,c_204001]) ).
tcf(c_218788,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,host(X2))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_204993,c_204001]) ).
tcf(c_218799,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_207601,c_204001]) ).
tcf(c_218800,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_206499,c_204001]) ).
tcf(c_218801,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_204010,c_204001]) ).
tcf(c_218804,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(X0,s(s(s(s(s(s(s(X1)))))))) ),
inference(superposition,[status(thm)],[c_204514,c_204001]) ).
tcf(c_218805,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,s(s(X1)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_204001]) ).
tcf(c_218806,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(s(X0)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_204001]) ).
tcf(c_218809,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),s(X2))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208896,c_204001]) ).
tcf(c_218810,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(s(X2)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206666,c_204001]) ).
tcf(c_218812,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(nbr_proc)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208900,c_204001]) ).
tcf(c_218813,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(nbr_proc)))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208859,c_204001]) ).
tcf(c_218814,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(X1)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206674,c_204001]) ).
tcf(c_218817,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208857,c_204001]) ).
tcf(c_218828,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(X2))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208835,c_204001]) ).
tcf(c_218829,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208867,c_204001]) ).
tcf(c_218830,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208879,c_204001]) ).
tcf(c_218832,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202443,c_204001]) ).
tcf(c_219051,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_204027]) ).
tcf(c_219057,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK8))
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204027]) ).
tcf(c_219058,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_203667,c_204027]) ).
tcf(c_219064,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X1,nbr_proc)
| leq(X2,X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208818,c_204027]) ).
tcf(c_219065,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_204008,c_204027]) ).
tcf(c_219076,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(X1))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206392,c_204027]) ).
tcf(c_219077,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(X1))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_204993,c_204027]) ).
tcf(c_219093,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_204514,c_204027]) ).
tcf(c_219094,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(X1)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_204027]) ).
tcf(c_219095,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(s(X0)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_204027]) ).
tcf(c_219098,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(host(X1)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208896,c_204027]) ).
tcf(c_219117,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208835,c_204027]) ).
tcf(c_219121,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202443,c_204027]) ).
tcf(c_219181,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| ( s(nbr_proc) = nbr_proc )
| ~ leq(s(nbr_proc),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204171]) ).
tcf(c_219182,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_203667,c_204171]) ).
tcf(c_219186,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X1,X0)
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208818,c_204171]) ).
tcf(c_219187,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_204008,c_204171]) ).
tcf(c_219202,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_204514,c_204171]) ).
tcf(c_219203,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(X0)))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_207157,c_204171]) ).
tcf(c_219204,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_204171]) ).
tcf(c_219214,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,nbr_proc)
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208857,c_204171]) ).
tcf(c_219216,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208835,c_204171]) ).
tcf(c_219292,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_110,c_204227]) ).
tcf(c_219295,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_113,c_204227]) ).
tcf(c_219297,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_201161,c_204227]) ).
tcf(c_219298,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK2))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203644,c_204227]) ).
tcf(c_219299,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_201621,c_204227]) ).
tcf(c_219300,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| ( host(sK8) = nbr_proc )
| ~ leq(host(sK8),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204227]) ).
tcf(c_219301,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_203667,c_204227]) ).
tcf(c_219302,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_201592,c_204227]) ).
tcf(c_219303,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(host(sK8))))) ),
inference(superposition,[status(thm)],[c_201706,c_204227]) ).
tcf(c_219304,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(host(sK8)))))) ),
inference(superposition,[status(thm)],[c_201871,c_204227]) ).
tcf(c_219305,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,s(zero))
| leq(X1,sK10(sK6,sK8))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_204227]) ).
tcf(c_219306,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_204227]) ).
tcf(c_219307,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,s(zero))
| leq(X1,sK10(sK7,sK8))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_204227]) ).
tcf(c_219308,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_204227]) ).
tcf(c_219313,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X1,X0)
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208818,c_204227]) ).
tcf(c_219316,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_204008,c_204227]) ).
tcf(c_219317,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(s(host(sK8))))))) ),
inference(superposition,[status(thm)],[c_203745,c_204227]) ).
tcf(c_219326,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_204429,c_204227]) ).
tcf(c_219330,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_203973,c_204227]) ).
tcf(c_219332,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(s(s(host(sK8)))))))) ),
inference(superposition,[status(thm)],[c_204514,c_204227]) ).
tcf(c_219333,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(X0)))
| ~ leq(s(host(sK8)),X0) ),
inference(superposition,[status(thm)],[c_207157,c_204227]) ).
tcf(c_219334,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(host(sK8)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_204227]) ).
tcf(c_219337,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208896,c_204227]) ).
tcf(c_219338,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(host(sK8)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206666,c_204227]) ).
tcf(c_219339,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_207190,c_204227]) ).
tcf(c_219340,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208900,c_204227]) ).
tcf(c_219341,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),host(sK8))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208859,c_204227]) ).
tcf(c_219342,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,s(host(sK8)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206674,c_204227]) ).
tcf(c_219343,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206886,c_204227]) ).
tcf(c_219344,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,nbr_proc)
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208857,c_204227]) ).
tcf(c_219345,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,host(sK8))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208835,c_204227]) ).
tcf(c_219348,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208867,c_204227]) ).
tcf(c_219349,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208879,c_204227]) ).
tcf(c_219359,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,X0)
| leq(X0,host(sK8)) ),
inference(light_normalisation,[status(thm)],[c_219301,c_202443]) ).
tcf(c_219373,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(zero,X0)
| leq(X0,s(s(nbr_proc))) ),
inference(light_normalisation,[status(thm)],[c_219342,c_202443]) ).
tcf(c_219374,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(zero,X0)
| leq(X0,s(host(X1))) ),
inference(light_normalisation,[status(thm)],[c_219338,c_202443]) ).
tcf(c_219441,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(s(s(X0))) = zero )
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_210350,c_109]) ).
tcf(c_219442,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_210350,c_106]) ).
tcf(c_219456,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_211744,c_202047]) ).
tcf(c_219457,plain,
( ( s(s(sK10(sK6,sK8))) = zero )
| ~ iPr_def_11
| ~ leq(s(s(sK10(sK6,sK8))),zero) ),
inference(superposition,[status(thm)],[c_211744,c_109]) ).
tcf(c_219458,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ iPr_def_11
| ~ leq(s(s(sK10(sK6,sK8))),X0) ),
inference(superposition,[status(thm)],[c_211744,c_106]) ).
tcf(c_219459,plain,
( leq(zero,s(sK10(sK6,sK8)))
| ( s(s(sK10(sK6,sK8))) = zero )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_211744,c_114]) ).
tcf(c_219495,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_213280,c_202047]) ).
tcf(c_219496,plain,
( ( s(s(sK10(sK7,sK8))) = zero )
| ~ iPr_def_11
| ~ leq(s(s(sK10(sK7,sK8))),zero) ),
inference(superposition,[status(thm)],[c_213280,c_109]) ).
tcf(c_219497,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ iPr_def_11
| ~ leq(s(s(sK10(sK7,sK8))),X0) ),
inference(superposition,[status(thm)],[c_213280,c_106]) ).
tcf(c_219498,plain,
( leq(zero,s(sK10(sK7,sK8)))
| ( s(s(sK10(sK7,sK8))) = zero )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_213280,c_114]) ).
tcf(c_219530,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203812,c_218832]) ).
tcf(c_219531,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(host(sK2)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_218832]) ).
tcf(c_219533,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_203667,c_218832]) ).
tcf(c_219540,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(sK8),X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_203667,c_218832]) ).
tcf(c_219542,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(s(X0)))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_218832]) ).
tcf(c_219543,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(sK8),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_203811,c_218832]) ).
tcf(c_219553,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_204514,c_218832]) ).
tcf(c_219554,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(s(X0)))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207157,c_218832]) ).
tcf(c_219555,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_218832]) ).
tcf(c_219556,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207159,c_218832]) ).
tcf(c_219566,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_214574,c_218832]) ).
tcf(c_219567,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X0)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208835,c_218832]) ).
tcf(c_219647,plain,
! [X0: $i,X1: $i] :
( ( host(X0) != host(sK2) )
| ( host(X1) != nbr_proc )
| ~ setIn(host(sK7),index(down,host(X1)))
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| ( host(X0) = host(X1) ) ),
inference(global_subsumption_just,[status(thm)],[c_205470,c_5764,c_6296,c_12285,c_21200]) ).
tcf(c_219648,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(host(sK7),index(down,host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(renaming,[status(thm)],[c_219647]) ).
tcf(c_219663,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK7)))
| ~ setIn(host(sK7),index(down,host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_219648]) ).
tcf(c_219664,plain,
! [X0: $i] :
( ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK6)))
| ~ setIn(host(sK7),index(down,host(X0)))
| ( host(sK2) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_219648]) ).
tcf(c_219665,plain,
! [X0: $i] :
( ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK3)))
| ~ setIn(host(sK7),index(down,host(X0)))
| ( host(sK2) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_219648]) ).
tcf(c_219666,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(equality_resolution,[status(thm)],[c_219648]) ).
tcf(c_219667,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219666,c_66]) ).
tcf(c_219693,plain,
( ( host(sK2) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ elem(m_Down(sK6),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,host(sK6))) ),
inference(superposition,[status(thm)],[c_202369,c_219667]) ).
tcf(c_219694,plain,
( ( host(sK2) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ elem(m_Down(sK6),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,host(sK3))) ),
inference(superposition,[status(thm)],[c_202368,c_219667]) ).
tcf(c_219695,plain,
( ( host(sK2) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ elem(m_Down(sK6),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_219694,c_202368]) ).
tcf(c_219728,plain,
! [X0: $i,X1: $i] :
( ( host(X0) != host(sK2) )
| ( host(X1) != nbr_proc )
| ~ setIn(host(sK7),index(down,host(X1)))
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| ( host(X0) = host(X1) ) ),
inference(global_subsumption_just,[status(thm)],[c_205471,c_5764,c_5969,c_12286,c_21201]) ).
tcf(c_219729,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = host(X1) )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(host(sK7),index(down,host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X0) != host(sK2) ) ),
inference(renaming,[status(thm)],[c_219728]) ).
tcf(c_219744,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ( host(X0) = host(sK7) )
| ~ setIn(sK7,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK7)))
| ~ setIn(host(sK7),index(down,host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_219729]) ).
tcf(c_219745,plain,
! [X0: $i] :
( ( host(X0) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK6)))
| ~ setIn(host(sK7),index(down,host(X0)))
| ( host(sK2) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202369,c_219729]) ).
tcf(c_219746,plain,
! [X0: $i] :
( ( host(X0) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK3)))
| ~ setIn(host(sK7),index(down,host(X0)))
| ( host(sK2) != nbr_proc )
| ( host(X0) != nbr_proc ) ),
inference(superposition,[status(thm)],[c_202368,c_219729]) ).
tcf(c_219747,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(sK2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(equality_resolution,[status(thm)],[c_219729]) ).
tcf(c_219748,plain,
! [X0: $i] :
( ( host(X0) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,host(X0)))
| ( host(X0) != nbr_proc ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219747,c_66]) ).
tcf(c_219774,plain,
( ( host(sK2) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ elem(m_Down(sK3),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,host(sK6))) ),
inference(superposition,[status(thm)],[c_202369,c_219748]) ).
tcf(c_219775,plain,
( ( host(sK2) = host(sK3) )
| ~ setIn(sK3,alive)
| ~ elem(m_Down(sK3),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,host(sK3))) ),
inference(superposition,[status(thm)],[c_202368,c_219748]) ).
tcf(c_219777,plain,
( ( host(sK2) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ elem(m_Down(sK3),queue(host(sK2)))
| ~ setIn(host(sK7),index(down,nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_219774,c_202369]) ).
tcf(c_219786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),
inference(superposition,[status(thm)],[c_218708,c_135]) ).
tcf(c_219787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19) != q_nil,
inference(superposition,[status(thm)],[c_218708,c_137]) ).
tcf(c_219788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19)),
inference(superposition,[status(thm)],[c_218708,c_101]) ).
tcf(c_219789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20)) ),
inference(superposition,[status(thm)],[c_218708,c_102]) ).
tcf(c_219790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20)) ),
inference(superposition,[status(thm)],[c_218708,c_103]) ).
tcf(c_219791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X0)),
inference(superposition,[status(thm)],[c_218708,c_203176]) ).
tcf(c_219792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X0))),
inference(superposition,[status(thm)],[c_218708,c_203596]) ).
tcf(c_219834,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| ( X0 = zero )
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_219292,c_109]) ).
tcf(c_219835,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X0,X2)
| leq(X2,host(sK8))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_219292,c_106]) ).
tcf(c_219836,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,host(sK8))
| leq(s(X0),X1)
| ( s(X0) = zero ) ),
inference(superposition,[status(thm)],[c_219292,c_114]) ).
tcf(c_219839,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),X0)
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_219292,c_204891]) ).
tcf(c_219843,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(zero,host(sK8))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_204227]) ).
tcf(c_219844,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,host(sK8))
| leq(X0,host(sK8))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_219292,c_204714]) ).
tcf(c_219849,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,host(sK8))
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_219292,c_109]) ).
tcf(c_219850,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X0,host(sK8))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_219292,c_106]) ).
tcf(c_219851,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(s(X0),host(sK8))
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_219292,c_114]) ).
tcf(c_219852,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_115]) ).
tcf(c_219854,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(host(X0),host(sK8))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_219292,c_203633]) ).
tcf(c_219855,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),host(sK8))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_219292,c_208692]) ).
tcf(c_219857,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| leq(host(sK8),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_219292,c_204891]) ).
tcf(c_219862,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_219292,c_201708]) ).
tcf(c_219863,plain,
( leq(zero,s(zero))
| leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),host(sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_219292,c_201931]) ).
tcf(c_219864,plain,
( leq(zero,s(zero))
| leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),host(sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_219292,c_201932]) ).
tcf(c_219865,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_219292,c_201873]) ).
tcf(c_219868,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_204027]) ).
tcf(c_219869,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(zero,s(X1))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_204001]) ).
tcf(c_219870,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X1,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_219292,c_203735]) ).
tcf(c_219871,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_201842]) ).
tcf(c_219872,plain,
( leq(zero,host(sK2))
| leq(host(sK8),host(sK8))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_219292,c_202410]) ).
tcf(c_219876,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(X1))
| leq(X0,host(sK8))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_219292,c_207779]) ).
tcf(c_219877,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(X1))
| leq(X0,host(sK8))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_219292,c_204994]) ).
tcf(c_219878,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,host(X1))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_204431]) ).
tcf(c_219879,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(X1))
| leq(X0,host(sK8))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_219292,c_202051]) ).
tcf(c_219880,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_203764]) ).
tcf(c_219881,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(X0,s(X1))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_219292,c_206377]) ).
tcf(c_219882,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,host(sK8))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_219292,c_206704]) ).
tcf(c_219883,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_219292,c_202059]) ).
tcf(c_219885,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,host(sK8))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_219292,c_214130]) ).
tcf(c_219886,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_219292,c_202061]) ).
tcf(c_219891,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_219292,c_202065]) ).
tcf(c_219892,plain,
( leq(zero,sK10(sK6,sK8))
| leq(s(zero),host(sK8))
| ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_219292,c_202347]) ).
tcf(c_219893,plain,
( leq(zero,sK10(sK7,sK8))
| leq(s(zero),host(sK8))
| ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_219292,c_202348]) ).
tcf(c_219900,plain,
! [X0: $i] :
( leq(nbr_proc,host(sK8))
| leq(zero,s(X0))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_202430]) ).
tcf(c_219924,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(X0,host(sK8))
| leq(host(sK8),X0)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_219292,c_202057]) ).
tcf(c_219932,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(zero,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_219292,c_204971]) ).
tcf(c_219936,plain,
! [X0: $i] :
( leq(zero,host(sK7))
| leq(host(X0),host(sK8))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_219292,c_206837]) ).
tcf(c_219937,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,host(sK8))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_204227]) ).
tcf(c_219938,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,X1)
| leq(X1,host(sK8))
| ~ leq(s(host(sK8)),X0) ),
inference(superposition,[status(thm)],[c_219292,c_204714]) ).
tcf(c_219942,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(X1,X2)
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_202047]) ).
tcf(c_219943,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ( host(sK8) = X0 )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_219292,c_109]) ).
tcf(c_219944,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(X1,X2)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_219292,c_106]) ).
tcf(c_219947,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_219292,c_208692]) ).
tcf(c_219949,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_219292,c_204891]) ).
tcf(c_219956,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(zero,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_219292,c_204027]) ).
tcf(c_219957,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,X2)
| leq(X2,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_219292,c_204001]) ).
tcf(c_219961,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,host(sK8))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_219292,c_218832]) ).
tcf(c_219970,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_219292,c_206704]) ).
tcf(c_219972,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(nbr_proc,host(sK8))
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_219292,c_214621]) ).
tcf(c_219973,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_219292,c_214130]) ).
tcf(c_219975,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_219292,c_203775]) ).
tcf(c_219976,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(zero),host(sK8))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_219292,c_202063]) ).
tcf(c_219977,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_219292,c_203787]) ).
tcf(c_219978,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(zero),host(sK8))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_219292,c_202064]) ).
tcf(c_219979,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,host(sK8))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_219292,c_202065]) ).
tcf(c_219986,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,host(sK8))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_219292,c_204171]) ).
tcf(c_219995,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_219292,c_203410]) ).
tcf(c_219997,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_219292,c_203989]) ).
tcf(c_219998,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK2))
| leq(host(sK8),host(sK8))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_219292,c_202057]) ).
tcf(c_220003,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_219292,c_202069]) ).
tcf(c_220005,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(sK8))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_219292,c_204770]) ).
tcf(c_220008,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(sK8))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_219292,c_211870]) ).
tcf(c_220013,plain,
( leq(zero,zero)
| leq(zero,host(sK8)) ),
inference(equality_factoring,[status(thm)],[c_219292]) ).
tcf(c_220015,plain,
( leq(zero,host(sK8))
| leq(host(sK8),zero) ),
inference(equality_factoring,[status(thm)],[c_219292]) ).
tcf(c_220016,plain,
( leq(zero,host(sK8))
| leq(host(sK8),host(sK8)) ),
inference(equality_factoring,[status(thm)],[c_219292]) ).
tcf(c_220288,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(host(sK8),X0)
| leq(s(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_203535]) ).
tcf(c_220289,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(s(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_203571]) ).
tcf(c_220290,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(s(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_202047]) ).
tcf(c_220291,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ( s(X1) = X0 )
| ~ leq(nbr_proc,X0)
| ~ leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_204257,c_109]) ).
tcf(c_220292,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),X1)
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204257,c_106]) ).
tcf(c_220293,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| ( s(X0) = s(X1) )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204257,c_114]) ).
tcf(c_220294,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204257,c_115]) ).
tcf(c_220304,plain,
( leq(zero,zero)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_204257,c_201931]) ).
tcf(c_220305,plain,
( leq(zero,zero)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_204257,c_201932]) ).
tcf(c_220306,plain,
! [X0: $i] :
( leq(zero,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_201873]) ).
tcf(c_220307,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_204027]) ).
tcf(c_220311,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_206377]) ).
tcf(c_220313,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_202059]) ).
tcf(c_220316,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_202061]) ).
tcf(c_220317,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(s(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_202065]) ).
tcf(c_220318,plain,
! [X0: $i] :
( leq(zero,X0)
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204257,c_208639]) ).
tcf(c_220319,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_204257,c_202430]) ).
tcf(c_220337,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_207823]) ).
tcf(c_220339,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_204492]) ).
tcf(c_220340,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(host(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_204502]) ).
tcf(c_220341,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(s(host(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_202069]) ).
tcf(c_220344,plain,
! [X0: $i] :
( leq(zero,s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_204971]) ).
tcf(c_220464,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),X0) ),
inference(superposition,[status(thm)],[c_204361,c_204714]) ).
tcf(c_220469,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( sK10(sK6,sK8) = X0 )
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_204361,c_109]) ).
tcf(c_220470,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_204361,c_106]) ).
tcf(c_220478,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,sK10(sK6,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_204027]) ).
tcf(c_220479,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,sK10(sK6,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_204001]) ).
tcf(c_220491,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK6,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_206704]) ).
tcf(c_220493,plain,
! [X0: $i] :
( leq(nbr_proc,sK10(sK6,sK8))
| leq(s(zero),s(s(s(X0))))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204361,c_214621]) ).
tcf(c_220494,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK6,sK8))
| leq(s(zero),s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_214130]) ).
tcf(c_220500,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| leq(s(zero),s(s(s(s(X0)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_202065]) ).
tcf(c_220514,plain,
( leq(s(zero),host(sK2))
| leq(host(sK8),sK10(sK6,sK8))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_202057]) ).
tcf(c_220615,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(zero,host(X1))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_204463]) ).
tcf(c_220619,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(X1))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_204463]) ).
tcf(c_220622,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK2))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_203644,c_204463]) ).
tcf(c_220624,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(zero,X0)
| leq(X2,host(sK8))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_219292,c_204463]) ).
tcf(c_220625,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK8))
| ( host(X0) = nbr_proc )
| ~ leq(host(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204463]) ).
tcf(c_220626,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_203667,c_204463]) ).
tcf(c_220638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X3)
| leq(X3,X2)
| leq(X2,X0)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208818,c_204463]) ).
tcf(c_220641,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(X0))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_204008,c_204463]) ).
tcf(c_220651,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(X2))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_204429,c_204463]) ).
tcf(c_220654,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_206499,c_204463]) ).
tcf(c_220656,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_203973,c_204463]) ).
tcf(c_220658,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(s(s(host(X1)))))))) ),
inference(superposition,[status(thm)],[c_204514,c_204463]) ).
tcf(c_220659,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(s(X1)))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_204463]) ).
tcf(c_220660,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(s(X0)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_204463]) ).
tcf(c_220661,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(s(X1)))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_204463]) ).
tcf(c_220663,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(s(zero),host(X2))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208896,c_204463]) ).
tcf(c_220664,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,s(host(X2)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206666,c_204463]) ).
tcf(c_220665,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(X2))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_207190,c_204463]) ).
tcf(c_220667,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(nbr_proc)))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_208859,c_204463]) ).
tcf(c_220668,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(host(X1)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206674,c_204463]) ).
tcf(c_220669,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206886,c_204463]) ).
tcf(c_220670,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(zero,X0)
| leq(X2,nbr_proc)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208857,c_204463]) ).
tcf(c_220671,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,host(X2))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208835,c_204463]) ).
tcf(c_220674,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208867,c_204463]) ).
tcf(c_220675,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(X2))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208879,c_204463]) ).
tcf(c_220676,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ( host(sK2) = nbr_proc )
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_204701,c_204463]) ).
tcf(c_220727,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK8))
| ( host(X0) = nbr_proc ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220625,c_120]) ).
tcf(c_220806,plain,
! [X0: $i] :
( ( host(sK7) = nbr_proc )
| ( host(sK2) = nbr_proc )
| ~ setIn(sK3,alive)
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X0),queue(nbr_proc))
| ( host(X0) != host(sK7) )
| ( index(status,nbr_proc) != wait )
| ( index(ldr,host(sK2)) != host(sK2) )
| ( index(status,host(sK7)) != norm )
| ( host(index(elid,nbr_proc)) != host(sK7) ) ),
inference(superposition,[status(thm)],[c_204701,c_202737]) ).
tcf(c_220837,plain,
! [X0: $i] :
( ( host(sK7) = nbr_proc )
| ( host(sK2) = nbr_proc )
| ~ setIn(sK6,alive)
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X0),queue(nbr_proc))
| ( host(X0) != host(sK7) )
| ( index(status,nbr_proc) != wait )
| ( index(ldr,host(sK2)) != host(sK2) )
| ( index(status,host(sK7)) != norm )
| ( host(index(elid,nbr_proc)) != host(sK7) ) ),
inference(superposition,[status(thm)],[c_204701,c_203062]) ).
tcf(c_220854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),
inference(superposition,[status(thm)],[c_219786,c_135]) ).
tcf(c_220855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20) != q_nil,
inference(superposition,[status(thm)],[c_219786,c_137]) ).
tcf(c_220856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20)),
inference(superposition,[status(thm)],[c_219786,c_101]) ).
tcf(c_220857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21)) ),
inference(superposition,[status(thm)],[c_219786,c_102]) ).
tcf(c_220858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21)) ),
inference(superposition,[status(thm)],[c_219786,c_103]) ).
tcf(c_220859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X0)),
inference(superposition,[status(thm)],[c_219786,c_203176]) ).
tcf(c_220860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X0))),
inference(superposition,[status(thm)],[c_219786,c_203596]) ).
tcf(c_220872,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),X0) ),
inference(superposition,[status(thm)],[c_204616,c_204714]) ).
tcf(c_220877,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( sK10(sK7,sK8) = X0 )
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_204616,c_109]) ).
tcf(c_220878,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_204616,c_106]) ).
tcf(c_220886,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,sK10(sK7,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_204027]) ).
tcf(c_220887,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,sK10(sK7,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_204001]) ).
tcf(c_220900,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK7,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_206704]) ).
tcf(c_220902,plain,
! [X0: $i] :
( leq(nbr_proc,sK10(sK7,sK8))
| leq(s(zero),s(s(s(X0))))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204616,c_214621]) ).
tcf(c_220903,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK7,sK8))
| leq(s(zero),s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_214130]) ).
tcf(c_220909,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| leq(s(zero),s(s(s(s(X0)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_202065]) ).
tcf(c_220923,plain,
( leq(s(zero),host(sK2))
| leq(host(sK8),sK10(sK7,sK8))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_202057]) ).
tcf(c_221004,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,host(sK8))
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),X0) ),
inference(superposition,[status(thm)],[c_204785,c_204714]) ).
tcf(c_221005,plain,
( leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_204785,c_202428]) ).
tcf(c_221009,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ( s(s(s(s(s(nbr_proc))))) = X0 )
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_204785,c_109]) ).
tcf(c_221010,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,X0)
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_204785,c_106]) ).
tcf(c_221011,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(s(nbr_proc)))))
| ( s(s(s(s(s(nbr_proc))))) = X0 ) ),
inference(superposition,[status(thm)],[c_204785,c_114]) ).
tcf(c_221019,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204785,c_204001]) ).
tcf(c_221025,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(X1))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204785,c_204463]) ).
tcf(c_221032,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204785,c_206704]) ).
tcf(c_221034,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204785,c_214621]) ).
tcf(c_221035,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(X0))))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204785,c_214130]) ).
tcf(c_221041,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(s(X0)))))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204785,c_202065]) ).
tcf(c_221045,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204785,c_204171]) ).
tcf(c_221065,plain,
( leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_204785,c_211870]) ).
tcf(c_221113,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,host(sK8))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_219292,c_205100]) ).
tcf(c_221116,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_203736,c_205100]) ).
tcf(c_221117,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_205100]) ).
tcf(c_221118,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_201841,c_205100]) ).
tcf(c_221119,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_205100]) ).
tcf(c_221124,plain,
( leq(nbr_proc,nbr_proc)
| leq(s(zero),s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203812,c_205100]) ).
tcf(c_221125,plain,
( leq(nbr_proc,nbr_proc)
| leq(s(zero),s(host(sK2)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_205100]) ).
tcf(c_221127,plain,
( leq(host(sK8),nbr_proc)
| leq(s(zero),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_201621,c_205100]) ).
tcf(c_221130,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(s(zero),host(sK8)) ),
inference(superposition,[status(thm)],[c_203667,c_205100]) ).
tcf(c_221135,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_201871,c_205100]) ).
tcf(c_221144,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_206389,c_205100]) ).
tcf(c_221146,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1)
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208818,c_205100]) ).
tcf(c_221148,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202052,c_205100]) ).
tcf(c_221150,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(zero),X0)
| leq(sK10(sK6,sK8),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_205100]) ).
tcf(c_221151,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(zero),X0)
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_205100]) ).
tcf(c_221153,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(zero),X0)
| leq(sK10(sK7,sK8),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_205100]) ).
tcf(c_221154,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(zero),X0)
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_205100]) ).
tcf(c_221155,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(zero),X0)
| leq(s(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_205100]) ).
tcf(c_221158,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_204008,c_205100]) ).
tcf(c_221163,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_203745,c_205100]) ).
tcf(c_221164,plain,
( leq(s(zero),s(zero))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_201949,c_205100]) ).
tcf(c_221165,plain,
( leq(s(zero),s(zero))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_201968,c_205100]) ).
tcf(c_221169,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK8))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_203667,c_205100]) ).
tcf(c_221190,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(s(zero),s(s(X0)))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_205100]) ).
tcf(c_221191,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK8))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_203811,c_205100]) ).
tcf(c_221217,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_204514,c_205100]) ).
tcf(c_221227,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207157,c_205100]) ).
tcf(c_221228,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206376,c_205100]) ).
tcf(c_221229,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207159,c_205100]) ).
tcf(c_221230,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206375,c_205100]) ).
tcf(c_221241,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(s(zero),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_214574,c_205100]) ).
tcf(c_221254,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208835,c_205100]) ).
tcf(c_221258,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_210349,c_205100]) ).
tcf(c_221412,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X1))
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_113,c_206597]) ).
tcf(c_221416,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_219292,c_206597]) ).
tcf(c_221417,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| ( s(s(host(X0))) = nbr_proc )
| ~ leq(s(s(host(X0))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_206597]) ).
tcf(c_221418,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_203667,c_206597]) ).
tcf(c_221422,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),X2)
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208818,c_206597]) ).
tcf(c_221423,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(zero,s(host(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_206597]) ).
tcf(c_221424,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_204008,c_206597]) ).
tcf(c_221441,plain,
! [X0: $i] : leq(s(zero),s(s(s(s(s(s(s(s(host(X0)))))))))),
inference(superposition,[status(thm)],[c_204514,c_206597]) ).
tcf(c_221442,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(X1)))
| ~ leq(s(s(s(host(X0)))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_206597]) ).
tcf(c_221443,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(X0)))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_206376,c_206597]) ).
tcf(c_221457,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(host(X1))))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208835,c_206597]) ).
tcf(c_221462,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( host(sK2) = nbr_proc )
| ~ leq(s(s(host(sK2))),X0) ),
inference(superposition,[status(thm)],[c_204701,c_206597]) ).
tcf(c_221512,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204367,c_202047]) ).
tcf(c_221513,plain,
( ( s(s(sK10(sK6,sK8))) = s(zero) )
| ~ iPr_def_11
| ~ leq(s(s(sK10(sK6,sK8))),s(zero)) ),
inference(superposition,[status(thm)],[c_204367,c_109]) ).
tcf(c_221514,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_11
| ~ leq(s(s(sK10(sK6,sK8))),X0) ),
inference(superposition,[status(thm)],[c_204367,c_106]) ).
tcf(c_221515,plain,
( leq(s(zero),s(sK10(sK6,sK8)))
| ( s(s(sK10(sK6,sK8))) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204367,c_114]) ).
tcf(c_221555,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204622,c_202047]) ).
tcf(c_221556,plain,
( ( s(s(sK10(sK7,sK8))) = s(zero) )
| ~ iPr_def_11
| ~ leq(s(s(sK10(sK7,sK8))),s(zero)) ),
inference(superposition,[status(thm)],[c_204622,c_109]) ).
tcf(c_221557,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_11
| ~ leq(s(s(sK10(sK7,sK8))),X0) ),
inference(superposition,[status(thm)],[c_204622,c_106]) ).
tcf(c_221558,plain,
( leq(s(zero),s(sK10(sK7,sK8)))
| ( s(s(sK10(sK7,sK8))) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204622,c_114]) ).
tcf(c_221602,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_204794,c_202047]) ).
tcf(c_221603,plain,
( ( s(s(s(s(s(s(s(nbr_proc))))))) = nbr_proc )
| ~ leq(s(s(s(s(s(s(s(nbr_proc))))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_204794,c_109]) ).
tcf(c_221604,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(s(s(s(s(s(nbr_proc))))))),X0) ),
inference(superposition,[status(thm)],[c_204794,c_106]) ).
tcf(c_221605,plain,
( leq(nbr_proc,s(s(s(s(s(s(nbr_proc)))))))
| ( s(s(s(s(s(s(s(nbr_proc))))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204794,c_114]) ).
tcf(c_221606,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_204794,c_218832]) ).
tcf(c_221662,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK8))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206383,c_205100]) ).
tcf(c_221663,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK8))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206383,c_203535]) ).
tcf(c_221665,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(sK8))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206383,c_202047]) ).
tcf(c_221669,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(sK8),X0)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206383,c_218832]) ).
tcf(c_221672,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206383,c_207255]) ).
tcf(c_221674,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206383,c_202431]) ).
tcf(c_221700,plain,
( leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_202443,c_208033]) ).
tcf(c_221704,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208033,c_202047]) ).
tcf(c_221705,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(s(s(s(X0)))) = nbr_proc )
| ~ leq(s(s(s(s(X0)))),nbr_proc) ),
inference(superposition,[status(thm)],[c_208033,c_109]) ).
tcf(c_221706,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_208033,c_106]) ).
tcf(c_221707,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(X0))))
| ( s(s(s(s(X0)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_208033,c_114]) ).
tcf(c_221708,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X0)
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208033,c_218832]) ).
tcf(c_221735,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),X0) ),
inference(superposition,[status(thm)],[c_208850,c_204714]) ).
tcf(c_221741,plain,
! [X0: $i] :
( leq(zero,X0)
| ( sK10(sK6,sK8) = X0 )
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_208850,c_109]) ).
tcf(c_221742,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_208850,c_106]) ).
tcf(c_221751,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_204001]) ).
tcf(c_221757,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_204463]) ).
tcf(c_221764,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK6,sK8))
| leq(zero,s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_206704]) ).
tcf(c_221766,plain,
! [X0: $i] :
( leq(nbr_proc,sK10(sK6,sK8))
| leq(zero,s(s(s(X0))))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208850,c_214621]) ).
tcf(c_221767,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK6,sK8))
| leq(zero,s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_214130]) ).
tcf(c_221773,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| leq(zero,s(s(s(s(X0)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_202065]) ).
tcf(c_221787,plain,
( leq(zero,host(sK2))
| leq(host(sK8),sK10(sK6,sK8))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_202057]) ).
tcf(c_221843,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),X0) ),
inference(superposition,[status(thm)],[c_208851,c_204714]) ).
tcf(c_221849,plain,
! [X0: $i] :
( leq(zero,X0)
| ( sK10(sK7,sK8) = X0 )
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_208851,c_109]) ).
tcf(c_221850,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_208851,c_106]) ).
tcf(c_221859,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_204001]) ).
tcf(c_221865,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_204463]) ).
tcf(c_221872,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK7,sK8))
| leq(zero,s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_206704]) ).
tcf(c_221874,plain,
! [X0: $i] :
( leq(nbr_proc,sK10(sK7,sK8))
| leq(zero,s(s(s(X0))))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208851,c_214621]) ).
tcf(c_221875,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK7,sK8))
| leq(zero,s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_214130]) ).
tcf(c_221881,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| leq(zero,s(s(s(s(X0)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_202065]) ).
tcf(c_221895,plain,
( leq(zero,host(sK2))
| leq(host(sK8),sK10(sK7,sK8))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_202057]) ).
tcf(c_221987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),
inference(superposition,[status(thm)],[c_220854,c_135]) ).
tcf(c_221988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21) != q_nil,
inference(superposition,[status(thm)],[c_220854,c_137]) ).
tcf(c_221989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21)),
inference(superposition,[status(thm)],[c_220854,c_101]) ).
tcf(c_221990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22)) ),
inference(superposition,[status(thm)],[c_220854,c_102]) ).
tcf(c_221991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22)) ),
inference(superposition,[status(thm)],[c_220854,c_103]) ).
tcf(c_221992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X0)),
inference(superposition,[status(thm)],[c_220854,c_203176]) ).
tcf(c_221993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X0))),
inference(superposition,[status(thm)],[c_220854,c_203596]) ).
tcf(c_222098,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_113,c_206606]) ).
tcf(c_222102,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_219292,c_206606]) ).
tcf(c_222103,plain,
( leq(s(zero),host(sK8))
| ( s(s(s(nbr_proc))) = nbr_proc )
| ~ leq(s(s(s(nbr_proc))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_206606]) ).
tcf(c_222104,plain,
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_203667,c_206606]) ).
tcf(c_222108,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208818,c_206606]) ).
tcf(c_222110,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204008,c_206606]) ).
tcf(c_222129,plain,
leq(s(zero),s(s(s(s(s(s(s(s(s(nbr_proc)))))))))),
inference(superposition,[status(thm)],[c_204514,c_206606]) ).
tcf(c_222130,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_206606]) ).
tcf(c_222131,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_206376,c_206606]) ).
tcf(c_222145,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208835,c_206606]) ).
tcf(c_222162,plain,
! [X0: $i,X1: $i,X2: $i] : elem(X0,cons(X1,cons(X2,snoc(queue(host(sK2)),X0)))),
inference(superposition,[status(thm)],[c_203174,c_207142]) ).
tcf(c_222163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(queue(host(sK2)),X3),X0)))),
inference(superposition,[status(thm)],[c_203428,c_207142]) ).
tcf(c_222164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(queue(host(sK2)),X3),X4),X0)))),
inference(superposition,[status(thm)],[c_203651,c_207142]) ).
tcf(c_222165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X0)))),
inference(superposition,[status(thm)],[c_204394,c_207142]) ).
tcf(c_222166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X0)))),
inference(superposition,[status(thm)],[c_204939,c_207142]) ).
tcf(c_222167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X0)))),
inference(superposition,[status(thm)],[c_206869,c_207142]) ).
tcf(c_222168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X0)))),
inference(superposition,[status(thm)],[c_207712,c_207142]) ).
tcf(c_222169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X0)))),
inference(superposition,[status(thm)],[c_208291,c_207142]) ).
tcf(c_222170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X0)))),
inference(superposition,[status(thm)],[c_208764,c_207142]) ).
tcf(c_222171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X0)))),
inference(superposition,[status(thm)],[c_210312,c_207142]) ).
tcf(c_222172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X0)))),
inference(superposition,[status(thm)],[c_210751,c_207142]) ).
tcf(c_222173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X0)))),
inference(superposition,[status(thm)],[c_211270,c_207142]) ).
tcf(c_222174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X0)))),
inference(superposition,[status(thm)],[c_212794,c_207142]) ).
tcf(c_222175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X0)))),
inference(superposition,[status(thm)],[c_213480,c_207142]) ).
tcf(c_222176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X0)))),
inference(superposition,[status(thm)],[c_214415,c_207142]) ).
tcf(c_222177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X0)))),
inference(superposition,[status(thm)],[c_215536,c_207142]) ).
tcf(c_222178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X0)))),
inference(superposition,[status(thm)],[c_216043,c_207142]) ).
tcf(c_222179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X0)))),
inference(superposition,[status(thm)],[c_216786,c_207142]) ).
tcf(c_222180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X0)))),
inference(superposition,[status(thm)],[c_217845,c_207142]) ).
tcf(c_222181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X0)))),
inference(superposition,[status(thm)],[c_218708,c_207142]) ).
tcf(c_222182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X0)))),
inference(superposition,[status(thm)],[c_219786,c_207142]) ).
tcf(c_222183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X0)))),
inference(superposition,[status(thm)],[c_220854,c_207142]) ).
tcf(c_222184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : elem(X0,cons(X1,cons(X2,cons(X3,cons(X4,snoc(X5,X0)))))),
inference(superposition,[status(thm)],[c_135,c_207142]) ).
tcf(c_222185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : elem(X0,cons(X1,cons(X2,cons(X3,cons(X0,q_nil))))),
inference(superposition,[status(thm)],[c_136,c_207142]) ).
tcf(c_222186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( elem(X0,cons(X2,cons(X3,snoc(X4,X0))))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_207142,c_103]) ).
tcf(c_222193,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),nbr_proc)
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_202443,c_208024]) ).
tcf(c_222194,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(nbr_proc,host(sK8))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_208024,c_204714]) ).
tcf(c_222200,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| ( s(s(X0)) = X1 )
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_208024,c_109]) ).
tcf(c_222201,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X0,nbr_proc)
| leq(X2,X1)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_208024,c_106]) ).
tcf(c_222202,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,s(X0))
| ( s(s(X0)) = X1 ) ),
inference(superposition,[status(thm)],[c_208024,c_114]) ).
tcf(c_222209,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208024,c_204027]) ).
tcf(c_222210,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208024,c_204001]) ).
tcf(c_222216,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,host(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208024,c_204463]) ).
tcf(c_222223,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X1)))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208024,c_206704]) ).
tcf(c_222226,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X1)))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208024,c_214130]) ).
tcf(c_222232,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(s(X1)))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208024,c_202065]) ).
tcf(c_222236,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208024,c_204171]) ).
tcf(c_222245,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc))))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208024,c_206606]) ).
tcf(c_222246,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc))))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208024,c_203410]) ).
tcf(c_222249,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(sK2))
| leq(host(sK8),s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208024,c_202057]) ).
tcf(c_222253,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(host(X1))))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208024,c_206597]) ).
tcf(c_222255,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(s(X1)))
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_208024,c_202069]) ).
tcf(c_222258,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208024,c_211870]) ).
tcf(c_222325,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(s(X1),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_206197,c_208821]) ).
tcf(c_222334,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(X1,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_219292,c_208821]) ).
tcf(c_222339,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(s(X2),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_201841,c_208821]) ).
tcf(c_222340,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(X0),X2)
| leq(X2,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_208821]) ).
tcf(c_222343,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_120,c_208821]) ).
tcf(c_222345,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(host(sK2))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203812,c_208821]) ).
tcf(c_222346,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(host(sK2))))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_208821]) ).
tcf(c_222347,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),X1)
| leq(X1,s(host(sK2)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_203644,c_208821]) ).
tcf(c_222349,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(X1,X2)
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_219292,c_208821]) ).
tcf(c_222350,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(host(sK8)))
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_208821]) ).
tcf(c_222351,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_203667,c_208821]) ).
tcf(c_222357,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(host(sK8),X0)
| leq(sK10(sK6,sK8),X1)
| leq(X0,s(sK10(sK6,sK8)))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_208821]) ).
tcf(c_222358,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(sK10(sK6,sK8)))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_208821]) ).
tcf(c_222359,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(host(sK8),X0)
| leq(sK10(sK7,sK8),X1)
| leq(X0,s(sK10(sK7,sK8)))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_208821]) ).
tcf(c_222360,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(sK10(sK7,sK8)))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_208821]) ).
tcf(c_222361,plain,
! [X0: $i] :
( leq(X0,s(host(sK8)))
| leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_201751,c_208821]) ).
tcf(c_222362,plain,
! [X0: $i] :
( leq(X0,s(host(sK8)))
| leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_201759,c_208821]) ).
tcf(c_222368,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,s(X2))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208826,c_208821]) ).
tcf(c_222369,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202052,c_208821]) ).
tcf(c_222370,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(sK10(sK6,sK8),X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203421,c_208821]) ).
tcf(c_222371,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(X0,s(X1))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_208821]) ).
tcf(c_222372,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(X0,s(X1))
| leq(sK10(sK6,sK8),X0)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_208821]) ).
tcf(c_222373,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(sK10(sK7,sK8),X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203604,c_208821]) ).
tcf(c_222374,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(X0,s(X1))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_208821]) ).
tcf(c_222375,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(X0,s(X1))
| leq(sK10(sK7,sK8),X0)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_208821]) ).
tcf(c_222376,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,s(X0))
| leq(s(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_208821]) ).
tcf(c_222385,plain,
! [X0: $i] :
( leq(X0,s(s(zero)))
| leq(sK10(sK6,sK8),X0)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_201949,c_208821]) ).
tcf(c_222386,plain,
! [X0: $i] :
( leq(X0,s(s(zero)))
| leq(sK10(sK7,sK8),X0)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_201968,c_208821]) ).
tcf(c_222387,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X0)
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_206197,c_208821]) ).
tcf(c_222389,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X0)
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_203668,c_208821]) ).
tcf(c_222404,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_207865,c_208821]) ).
tcf(c_222405,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207261,c_208821]) ).
tcf(c_222406,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(s(X0)))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207866,c_208821]) ).
tcf(c_222407,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X0)
| leq(X1,host(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_204993,c_208821]) ).
tcf(c_222411,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(s(s(X0))))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_208821]) ).
tcf(c_222418,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(s(zero)),X0) ),
inference(superposition,[status(thm)],[c_204046,c_208821]) ).
tcf(c_222419,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(sK10(sK6,sK8)),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_204048,c_208821]) ).
tcf(c_222420,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(sK10(sK7,sK8)),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_204049,c_208821]) ).
tcf(c_222421,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(s(s(zero)),X0) ),
inference(superposition,[status(thm)],[c_208874,c_208821]) ).
tcf(c_222422,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(s(s(zero)),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204158,c_208821]) ).
tcf(c_222427,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_208821]) ).
tcf(c_222428,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_208821]) ).
tcf(c_222430,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(sK10(sK6,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204367,c_208821]) ).
tcf(c_222431,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_208821]) ).
tcf(c_222432,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_208821]) ).
tcf(c_222434,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(sK10(sK7,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204622,c_208821]) ).
tcf(c_222447,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(s(X0))))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207221,c_208821]) ).
tcf(c_222453,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,s(s(s(X1))))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207157,c_208821]) ).
tcf(c_222455,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,s(s(s(X1))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207159,c_208821]) ).
tcf(c_222464,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206326,c_208821]) ).
tcf(c_222465,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(X1,X2)
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208857,c_208821]) ).
tcf(c_222467,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(s(s(s(s(s(nbr_proc))))))))) ),
inference(superposition,[status(thm)],[c_204794,c_208821]) ).
tcf(c_222468,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(sK8))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_206383,c_208821]) ).
tcf(c_222469,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_214574,c_208821]) ).
tcf(c_222470,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X0)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_210347,c_208821]) ).
tcf(c_222474,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(s(s(host(X1))))))) ),
inference(superposition,[status(thm)],[c_205004,c_208821]) ).
tcf(c_222477,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),X0)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206181,c_208821]) ).
tcf(c_222478,plain,
! [X0: $i,X1: $i] :
( leq(sK10(sK6,sK8),X0)
| leq(X0,s(host(X1)))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_206186,c_208821]) ).
tcf(c_222479,plain,
! [X0: $i,X1: $i] :
( leq(sK10(sK7,sK8),X0)
| leq(X0,s(host(X1)))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_206187,c_208821]) ).
tcf(c_222480,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_207874,c_208821]) ).
tcf(c_222484,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_207179,c_208821]) ).
tcf(c_222488,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_207180,c_208821]) ).
tcf(c_222490,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208533,c_208821]) ).
tcf(c_222491,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_208033,c_208821]) ).
tcf(c_222492,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(sK10(sK6,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_211744,c_208821]) ).
tcf(c_222493,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(sK10(sK7,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_213280,c_208821]) ).
tcf(c_222536,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(nbr_proc,s(X0)) ),
inference(light_normalisation,[status(thm)],[c_222351,c_202443]) ).
tcf(c_222652,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_222350,c_202443]) ).
tcf(c_222861,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK2),X0)
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_222343]) ).
tcf(c_222862,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_202369,c_222343]) ).
tcf(c_222864,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(host(X1),host(sK8))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_222343,c_204714]) ).
tcf(c_222865,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_222343,c_202428]) ).
tcf(c_222866,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),X2)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_222343,c_208821]) ).
tcf(c_222871,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ( s(nbr_proc) = X0 )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_222343,c_109]) ).
tcf(c_222872,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),X2)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_222343,c_106]) ).
tcf(c_222873,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),X0)
| ( s(nbr_proc) = X0 ) ),
inference(superposition,[status(thm)],[c_222343,c_114]) ).
tcf(c_222874,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_222343,c_115]) ).
tcf(c_222875,plain,
! [X0: $i] : leq(host(X0),s(s(nbr_proc))),
inference(superposition,[status(thm)],[c_222343,c_117]) ).
tcf(c_222876,plain,
! [X0: $i] : leq(host(X0),s(s(s(nbr_proc)))),
inference(superposition,[status(thm)],[c_222343,c_201589]) ).
tcf(c_222877,plain,
! [X0: $i] : leq(host(X0),s(s(s(s(nbr_proc))))),
inference(superposition,[status(thm)],[c_222343,c_201594]) ).
tcf(c_222878,plain,
! [X0: $i] : leq(host(X0),s(s(s(s(s(nbr_proc)))))),
inference(superposition,[status(thm)],[c_222343,c_201708]) ).
tcf(c_222879,plain,
! [X0: $i] : leq(host(X0),s(s(s(s(s(s(nbr_proc))))))),
inference(superposition,[status(thm)],[c_222343,c_201873]) ).
tcf(c_222881,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_222343,c_204001]) ).
tcf(c_222882,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(nbr_proc)))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_222343,c_203735]) ).
tcf(c_222883,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_222343,c_201842]) ).
tcf(c_222887,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(nbr_proc))
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_222343,c_204463]) ).
tcf(c_222893,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(nbr_proc)))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_222343,c_206377]) ).
tcf(c_222894,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_222343,c_206704]) ).
tcf(c_222895,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_222343,c_202059]) ).
tcf(c_222896,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(host(X1),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_222343,c_214621]) ).
tcf(c_222897,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(host(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_222343,c_214130]) ).
tcf(c_222898,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_222343,c_202061]) ).
tcf(c_222903,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(X0),s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_222343,c_202065]) ).
tcf(c_222907,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(host(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_222343,c_204171]) ).
tcf(c_222928,plain,
! [X0: $i] : leq(host(X0),s(s(s(s(s(s(s(nbr_proc)))))))),
inference(superposition,[status(thm)],[c_222343,c_204971]) ).
tcf(c_222932,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(X1,s(X2))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_222343,c_208821]) ).
tcf(c_222936,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_222343,c_202047]) ).
tcf(c_222937,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| ( host(X1) = X0 )
| ~ leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_222343,c_109]) ).
tcf(c_222938,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X2),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_222343,c_106]) ).
tcf(c_222939,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),X1)
| leq(s(X1),s(nbr_proc))
| ( host(X0) = s(X1) ) ),
inference(superposition,[status(thm)],[c_222343,c_114]) ).
tcf(c_222940,plain,
! [X0: $i] :
( leq(host(X0),s(nbr_proc))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_222343,c_203633]) ).
tcf(c_222957,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X0)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_222343,c_202057]) ).
tcf(c_222958,plain,
! [X0: $i] :
( leq(host(X0),s(nbr_proc))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_222343,c_206837]) ).
tcf(c_223098,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_222875,c_208821]) ).
tcf(c_223102,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_222875,c_202047]) ).
tcf(c_223103,plain,
! [X0: $i] :
( ( s(s(nbr_proc)) = host(X0) )
| ~ leq(s(s(nbr_proc)),host(X0)) ),
inference(superposition,[status(thm)],[c_222875,c_109]) ).
tcf(c_223104,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_222875,c_106]) ).
tcf(c_223105,plain,
! [X0: $i] :
( leq(host(X0),s(nbr_proc))
| ( s(s(nbr_proc)) = host(X0) ) ),
inference(superposition,[status(thm)],[c_222875,c_114]) ).
tcf(c_223139,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_222876,c_208821]) ).
tcf(c_223144,plain,
! [X0: $i] :
( ( s(s(s(nbr_proc))) = host(X0) )
| ~ leq(s(s(s(nbr_proc))),host(X0)) ),
inference(superposition,[status(thm)],[c_222876,c_109]) ).
tcf(c_223145,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_222876,c_106]) ).
tcf(c_223166,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,nbr_proc)
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_202443,c_222536]) ).
tcf(c_223167,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(X1))
| leq(X1,host(sK8))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_222536,c_204714]) ).
tcf(c_223169,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(nbr_proc,s(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_222536,c_208821]) ).
tcf(c_223171,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_222536,c_203535]) ).
tcf(c_223174,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| ( X0 = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_222536,c_109]) ).
tcf(c_223175,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(nbr_proc,s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_222536,c_106]) ).
tcf(c_223177,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_222536,c_201589]) ).
tcf(c_223178,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_222536,c_201594]) ).
tcf(c_223182,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(nbr_proc,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_222536,c_204001]) ).
tcf(c_223183,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_222536,c_203735]) ).
tcf(c_223188,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_222536,c_204463]) ).
tcf(c_223194,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_222536,c_206377]) ).
tcf(c_223205,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_222536,c_208639]) ).
tcf(c_223206,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_222536,c_202430]) ).
tcf(c_223207,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_222536,c_204171]) ).
tcf(c_223220,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_222536,c_202057]) ).
tcf(c_223230,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(host(sK8)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_222536,c_204714]) ).
tcf(c_223231,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(nbr_proc,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_222536,c_202428]) ).
tcf(c_223232,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_222536,c_208821]) ).
tcf(c_223233,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_222536,c_205100]) ).
tcf(c_223234,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_222536,c_203535]) ).
tcf(c_223235,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_222536,c_203571]) ).
tcf(c_223236,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1)
| leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_222536,c_202047]) ).
tcf(c_223237,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_222536,c_109]) ).
tcf(c_223238,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(X2,X1)
| leq(nbr_proc,s(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_222536,c_106]) ).
tcf(c_223239,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(s(X0),nbr_proc)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_222536,c_114]) ).
tcf(c_223240,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_222536,c_115]) ).
tcf(c_223244,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_222536,c_208342]) ).
tcf(c_223246,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(X0))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_222536,c_202427]) ).
tcf(c_223247,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_222536,c_202437]) ).
tcf(c_223251,plain,
( leq(nbr_proc,s(s(zero)))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_222536,c_201931]) ).
tcf(c_223252,plain,
( leq(nbr_proc,s(s(zero)))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_222536,c_201932]) ).
tcf(c_223256,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_222536,c_204027]) ).
tcf(c_223257,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_222536,c_204001]) ).
tcf(c_223258,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_222536,c_203735]) ).
tcf(c_223259,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_222536,c_201842]) ).
tcf(c_223261,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_222536,c_218832]) ).
tcf(c_223264,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,nbr_proc)
| leq(X1,X2)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_222536,c_204463]) ).
tcf(c_223266,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(X1)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_222536,c_204994]) ).
tcf(c_223267,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_222536,c_204431]) ).
tcf(c_223268,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_222536,c_202051]) ).
tcf(c_223269,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_222536,c_203764]) ).
tcf(c_223270,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_222536,c_206377]) ).
tcf(c_223271,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_222536,c_206704]) ).
tcf(c_223272,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_222536,c_202059]) ).
tcf(c_223275,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_222536,c_202061]) ).
tcf(c_223280,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_222536,c_202065]) ).
tcf(c_223287,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),nbr_proc) ),
inference(superposition,[status(thm)],[c_222536,c_202441]) ).
tcf(c_223288,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_222536,c_208639]) ).
tcf(c_223291,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_222536,c_203915]) ).
tcf(c_223293,plain,
( leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_222536,c_202432]) ).
tcf(c_223300,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X0)
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_222536,c_203090]) ).
tcf(c_223304,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X0)
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_222536,c_203221]) ).
tcf(c_223307,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X0)
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_222536,c_203410]) ).
tcf(c_223315,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_222536,c_207823]) ).
tcf(c_223316,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_222536,c_205062]) ).
tcf(c_223317,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_222536,c_204492]) ).
tcf(c_223318,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_222536,c_206597]) ).
tcf(c_223319,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_222536,c_204502]) ).
tcf(c_223320,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_222536,c_202069]) ).
tcf(c_223321,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_222536,c_214522]) ).
tcf(c_223322,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_222536,c_204770]) ).
tcf(c_223324,plain,
( leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_222536,c_204982]) ).
tcf(c_223326,plain,
( leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_222536,c_213049]) ).
tcf(c_223328,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_222536,c_208821]) ).
tcf(c_223332,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_222536,c_202047]) ).
tcf(c_223333,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_222536,c_109]) ).
tcf(c_223334,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X2,nbr_proc)
| leq(X0,X2)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_222536,c_106]) ).
tcf(c_223335,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,X1)
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_222536,c_114]) ).
tcf(c_223336,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(host(sK8),X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_222536,c_218832]) ).
tcf(c_223343,plain,
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(nbr_proc)) ),
inference(equality_factoring,[status(thm)],[c_222536]) ).
tcf(c_223345,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(s(nbr_proc),nbr_proc) ),
inference(equality_factoring,[status(thm)],[c_222536]) ).
tcf(c_223375,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X0)) ),
inference(light_normalisation,[status(thm)],[c_223231,c_202443]) ).
tcf(c_223508,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| ~ leq(s(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_223230,c_202443]) ).
tcf(c_223697,plain,
! [X0: $i] : leq(host(X0),s(nbr_proc)),
inference(global_subsumption_just,[status(thm)],[c_222940,c_87133]) ).
tcf(c_223709,plain,
! [X0: $i] :
( ( host(X0) = s(nbr_proc) )
| ~ leq(s(nbr_proc),host(X0)) ),
inference(superposition,[status(thm)],[c_223697,c_109]) ).
tcf(c_223710,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223697,c_106]) ).
tcf(c_223741,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(X0))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_113,c_223710]) ).
tcf(c_223743,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_116,c_223710]) ).
tcf(c_223745,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_223710]) ).
tcf(c_223746,plain,
! [X0: $i] :
( leq(host(X0),host(sK8))
| ( s(nbr_proc) = nbr_proc )
| ~ leq(s(nbr_proc),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_223710]) ).
tcf(c_223773,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(X0)))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_207157,c_223710]) ).
tcf(c_223775,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(X0)))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207159,c_223710]) ).
tcf(c_223808,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),host(sK8))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_208858,c_204714]) ).
tcf(c_223810,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208858,c_208821]) ).
tcf(c_223812,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X0)
| leq(host(sK8),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_203535]) ).
tcf(c_223815,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( s(s(s(nbr_proc))) = X0 )
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_208858,c_109]) ).
tcf(c_223816,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_208858,c_106]) ).
tcf(c_223825,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(X1))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_204001]) ).
tcf(c_223831,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),host(X1))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_204463]) ).
tcf(c_223840,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(nbr_proc))))
| leq(host(sK8),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208858,c_214621]) ).
tcf(c_223841,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc))))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208858,c_214130]) ).
tcf(c_223847,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208858,c_202065]) ).
tcf(c_223850,plain,
( leq(host(sK8),nbr_proc)
| leq(host(sK8),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208858,c_202431]) ).
tcf(c_223852,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_204171]) ).
tcf(c_223858,plain,
( leq(host(sK8),s(s(nbr_proc)))
| leq(host(sK8),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_203221]) ).
tcf(c_223864,plain,
( leq(host(sK8),host(sK2))
| leq(host(sK8),s(s(s(nbr_proc))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208858,c_202057]) ).
tcf(c_223871,plain,
( leq(nbr_proc,s(s(s(nbr_proc))))
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208858,c_204770]) ).
tcf(c_223902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),
inference(superposition,[status(thm)],[c_221987,c_135]) ).
tcf(c_223903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22) != q_nil,
inference(superposition,[status(thm)],[c_221987,c_137]) ).
tcf(c_223904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22)),
inference(superposition,[status(thm)],[c_221987,c_101]) ).
tcf(c_223905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23)) ),
inference(superposition,[status(thm)],[c_221987,c_102]) ).
tcf(c_223906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23)) ),
inference(superposition,[status(thm)],[c_221987,c_103]) ).
tcf(c_223907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X0)),
inference(superposition,[status(thm)],[c_221987,c_203176]) ).
tcf(c_223908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X0))),
inference(superposition,[status(thm)],[c_221987,c_203596]) ).
tcf(c_223909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X0)))),
inference(superposition,[status(thm)],[c_221987,c_207142]) ).
tcf(c_223919,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK2),s(X0))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_222874]) ).
tcf(c_223925,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(host(X2),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_222874,c_208821]) ).
tcf(c_223926,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_222874,c_205100]) ).
tcf(c_223927,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_222874,c_203535]) ).
tcf(c_223930,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| ( host(X1) = s(X0) )
| ~ leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_222874,c_109]) ).
tcf(c_223931,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(host(X2),X1)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_222874,c_106]) ).
tcf(c_223939,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_222874,c_202057]) ).
tcf(c_223959,plain,
! [X0: $i] :
( leq(host(sK2),s(X0))
| ( host(sK2) = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204701,c_223743]) ).
tcf(c_223965,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),X1)
| leq(X1,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223743,c_208821]) ).
tcf(c_223967,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),nbr_proc)
| leq(host(sK8),s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223743,c_203535]) ).
tcf(c_223968,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223743,c_203571]) ).
tcf(c_223970,plain,
! [X0: $i,X1: $i] :
( ( host(X1) = s(X0) )
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_223743,c_109]) ).
tcf(c_223971,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),X1)
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_223743,c_106]) ).
tcf(c_223972,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ( host(X1) = s(X0) )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223743,c_114]) ).
tcf(c_223979,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223743,c_202057]) ).
tcf(c_224023,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(X0))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_113,c_223104]) ).
tcf(c_224027,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(nbr_proc)))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_223104]) ).
tcf(c_224028,plain,
! [X0: $i] :
( leq(host(X0),host(sK8))
| ( s(s(nbr_proc)) = nbr_proc )
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_223104]) ).
tcf(c_224029,plain,
! [X0: $i] :
( leq(host(X0),host(sK8))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_203667,c_223104]) ).
tcf(c_224035,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_204008,c_223104]) ).
tcf(c_224053,plain,
! [X0: $i] : leq(host(X0),s(s(s(s(s(s(s(s(nbr_proc))))))))),
inference(superposition,[status(thm)],[c_204514,c_223104]) ).
tcf(c_224054,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_208024,c_223104]) ).
tcf(c_224055,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(X0)))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_223104]) ).
tcf(c_224056,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(s(nbr_proc))))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_223104]) ).
tcf(c_224067,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(host(X1),nbr_proc)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_222536,c_223104]) ).
tcf(c_224068,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),nbr_proc)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208857,c_223104]) ).
tcf(c_224071,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(nbr_proc)))
| leq(host(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208835,c_223104]) ).
tcf(c_224131,plain,
! [X0: $i] :
( leq(host(sK2),s(X0))
| ( host(sK2) = nbr_proc )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_204701,c_223741]) ).
tcf(c_224132,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_202369,c_223741]) ).
tcf(c_224137,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),X1)
| leq(X1,s(s(X0)))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223741,c_208821]) ).
tcf(c_224139,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),nbr_proc)
| leq(host(sK8),s(X0))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223741,c_203535]) ).
tcf(c_224140,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(host(X1),nbr_proc)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223741,c_203571]) ).
tcf(c_224141,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(host(X1),X2)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223741,c_202047]) ).
tcf(c_224142,plain,
! [X0: $i,X1: $i] :
( ( host(X1) = s(X0) )
| ~ leq(s(nbr_proc),X0)
| ~ leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_223741,c_109]) ).
tcf(c_224143,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),X1)
| ~ leq(s(nbr_proc),X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_223741,c_106]) ).
tcf(c_224144,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ( host(X1) = s(X0) )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223741,c_114]) ).
tcf(c_224151,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223741,c_202057]) ).
tcf(c_224191,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_222877,c_208821]) ).
tcf(c_224196,plain,
! [X0: $i] :
( ( s(s(s(s(nbr_proc)))) = host(X0) )
| ~ leq(s(s(s(s(nbr_proc)))),host(X0)) ),
inference(superposition,[status(thm)],[c_222877,c_109]) ).
tcf(c_224197,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_222877,c_106]) ).
tcf(c_224216,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(s(s(zero)),X0) ),
inference(superposition,[status(thm)],[c_222418,c_208821]) ).
tcf(c_224220,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(s(s(zero)),X0) ),
inference(superposition,[status(thm)],[c_222418,c_202047]) ).
tcf(c_224221,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(s(zero)) = X0 )
| ~ leq(X0,s(s(zero))) ),
inference(superposition,[status(thm)],[c_222418,c_109]) ).
tcf(c_224222,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(s(s(zero)),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_222418,c_106]) ).
tcf(c_224223,plain,
! [X0: $i] :
( leq(s(X0),s(nbr_proc))
| leq(s(s(zero)),X0)
| ( s(s(zero)) = s(X0) ) ),
inference(superposition,[status(thm)],[c_222418,c_114]) ).
tcf(c_224224,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_222418,c_115]) ).
tcf(c_224226,plain,
( leq(host(sK8),s(nbr_proc))
| ( s(s(s(zero))) = nbr_proc )
| ~ leq(nbr_proc,s(s(s(zero)))) ),
inference(superposition,[status(thm)],[c_222418,c_208692]) ).
tcf(c_224227,plain,
( leq(host(sK8),s(nbr_proc))
| leq(s(s(zero)),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_222418,c_208342]) ).
tcf(c_224228,plain,
! [X0: $i] :
( leq(host(sK8),s(nbr_proc))
| leq(s(s(s(zero))),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_222418,c_204891]) ).
tcf(c_224229,plain,
( leq(host(sK8),s(nbr_proc))
| leq(s(s(s(zero))),nbr_proc) ),
inference(superposition,[status(thm)],[c_222418,c_202427]) ).
tcf(c_224240,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(s(zero),host(sK8)) ),
inference(superposition,[status(thm)],[c_222418,c_202430]) ).
tcf(c_224265,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_222878,c_208821]) ).
tcf(c_224270,plain,
! [X0: $i] :
( ( s(s(s(s(s(nbr_proc))))) = host(X0) )
| ~ leq(s(s(s(s(s(nbr_proc))))),host(X0)) ),
inference(superposition,[status(thm)],[c_222878,c_109]) ).
tcf(c_224271,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_222878,c_106]) ).
tcf(c_224301,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK2),s(X0))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_222883]) ).
tcf(c_224307,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,s(nbr_proc))
| leq(host(X2),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_222883,c_208821]) ).
tcf(c_224308,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X1),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_222883,c_205100]) ).
tcf(c_224309,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X1),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_222883,c_203535]) ).
tcf(c_224312,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| ( host(X1) = s(X0) )
| ~ leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_222883,c_109]) ).
tcf(c_224313,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X2),X1)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_222883,c_106]) ).
tcf(c_224321,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_222883,c_202057]) ).
tcf(c_224343,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208870,c_208821]) ).
tcf(c_224347,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208870,c_202047]) ).
tcf(c_224348,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( sK10(sK7,sK8) = X0 )
| ~ iPr_def_12
| ~ leq(X0,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_208870,c_109]) ).
tcf(c_224349,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK7,sK8),X1)
| ~ iPr_def_12
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208870,c_106]) ).
tcf(c_224350,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208870,c_114]) ).
tcf(c_224396,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215260,c_208821]) ).
tcf(c_224401,plain,
! [X0: $i] :
( ( s(s(s(X0))) = zero )
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_215260,c_109]) ).
tcf(c_224402,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_215260,c_106]) ).
tcf(c_224403,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ( s(s(s(X0))) = zero )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215260,c_114]) ).
tcf(c_224428,plain,
! [X0: $i] :
( ( s(s(X0)) = host(sK8) )
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(X0)),host(sK8)) ),
inference(superposition,[status(thm)],[c_215263,c_109]) ).
tcf(c_224429,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_215263,c_106]) ).
tcf(c_224430,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| ( s(s(X0)) = host(sK8) )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215263,c_114]) ).
tcf(c_224433,plain,
! [X0: $i] :
( leq(s(zero),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215263,c_204994]) ).
tcf(c_224456,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_216080,c_205100]) ).
tcf(c_224457,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_216080,c_203535]) ).
tcf(c_224458,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_216080,c_203571]) ).
tcf(c_224460,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(s(s(X0))) = host(sK8) )
| ~ leq(s(s(s(X0))),host(sK8)) ),
inference(superposition,[status(thm)],[c_216080,c_109]) ).
tcf(c_224461,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X1)
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_216080,c_106]) ).
tcf(c_224522,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(host(sK8)))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_223178,c_204714]) ).
tcf(c_224523,plain,
( leq(nbr_proc,s(host(sK8)))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_223178,c_202428]) ).
tcf(c_224524,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_223178,c_208821]) ).
tcf(c_224526,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(host(sK8),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_223178,c_203535]) ).
tcf(c_224528,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_223178,c_202047]) ).
tcf(c_224529,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| ( s(s(s(nbr_proc))) = X0 )
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_223178,c_109]) ).
tcf(c_224530,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_223178,c_106]) ).
tcf(c_224531,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(nbr_proc)))
| ( s(s(s(nbr_proc))) = X0 ) ),
inference(superposition,[status(thm)],[c_223178,c_114]) ).
tcf(c_224532,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_223178,c_115]) ).
tcf(c_224539,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_223178,c_204001]) ).
tcf(c_224540,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_223178,c_203735]) ).
tcf(c_224541,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_223178,c_201842]) ).
tcf(c_224543,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_223178,c_203574]) ).
tcf(c_224545,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(host(X1)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_223178,c_204463]) ).
tcf(c_224551,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_223178,c_206377]) ).
tcf(c_224552,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc))))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_223178,c_206704]) ).
tcf(c_224553,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_223178,c_202059]) ).
tcf(c_224555,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc))))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_223178,c_214130]) ).
tcf(c_224556,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_223178,c_202061]) ).
tcf(c_224561,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_223178,c_202065]) ).
tcf(c_224564,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_223178,c_202431]) ).
tcf(c_224566,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_223178,c_204171]) ).
tcf(c_224575,plain,
( leq(nbr_proc,s(s(s(s(nbr_proc)))))
| leq(host(sK8),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_223178,c_203410]) ).
tcf(c_224578,plain,
( leq(nbr_proc,s(host(sK2)))
| leq(host(sK8),s(s(s(nbr_proc))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_223178,c_202057]) ).
tcf(c_224585,plain,
( leq(nbr_proc,s(s(s(nbr_proc))))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_223178,c_204770]) ).
tcf(c_224596,plain,
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(light_normalisation,[status(thm)],[c_224523,c_202443]) ).
tcf(c_224621,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,X0)
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(light_normalisation,[status(thm)],[c_224522,c_202443]) ).
tcf(c_224636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),
inference(superposition,[status(thm)],[c_223902,c_135]) ).
tcf(c_224637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23) != q_nil,
inference(superposition,[status(thm)],[c_223902,c_137]) ).
tcf(c_224638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23)),
inference(superposition,[status(thm)],[c_223902,c_101]) ).
tcf(c_224639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24)) ),
inference(superposition,[status(thm)],[c_223902,c_102]) ).
tcf(c_224640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24)) ),
inference(superposition,[status(thm)],[c_223902,c_103]) ).
tcf(c_224641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X0)),
inference(superposition,[status(thm)],[c_223902,c_203176]) ).
tcf(c_224642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X0))),
inference(superposition,[status(thm)],[c_223902,c_203596]) ).
tcf(c_224643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X0)))),
inference(superposition,[status(thm)],[c_223902,c_207142]) ).
tcf(c_224670,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(s(X1),X0)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_224224,c_208821]) ).
tcf(c_224675,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( s(X0) = s(nbr_proc) )
| ~ leq(s(nbr_proc),s(X0)) ),
inference(superposition,[status(thm)],[c_224224,c_109]) ).
tcf(c_224676,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(s(X1),X0)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_224224,c_106]) ).
tcf(c_224689,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_224224,c_206704]) ).
tcf(c_224742,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_224532,c_208821]) ).
tcf(c_224746,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_224532,c_202047]) ).
tcf(c_224747,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| ( s(s(X0)) = nbr_proc )
| ~ leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_224532,c_109]) ).
tcf(c_224748,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(s(nbr_proc)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_224532,c_106]) ).
tcf(c_224749,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(nbr_proc)))
| ( s(s(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_224532,c_114]) ).
tcf(c_224750,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_224532,c_218832]) ).
tcf(c_224756,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(s(host(sK8))))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_224532,c_204714]) ).
tcf(c_224757,plain,
( leq(nbr_proc,s(s(s(nbr_proc))))
| leq(nbr_proc,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_224532,c_202428]) ).
tcf(c_224760,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(host(sK8),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_224532,c_203535]) ).
tcf(c_224762,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_224532,c_202047]) ).
tcf(c_224763,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| ( s(s(nbr_proc)) = X0 )
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_224532,c_109]) ).
tcf(c_224764,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_224532,c_106]) ).
tcf(c_224765,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0)))
| ( s(s(nbr_proc)) = X0 ) ),
inference(superposition,[status(thm)],[c_224532,c_114]) ).
tcf(c_224766,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_224532,c_115]) ).
tcf(c_224773,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(nbr_proc)))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_224532,c_204001]) ).
tcf(c_224775,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_224532,c_201842]) ).
tcf(c_224776,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_224532,c_218832]) ).
tcf(c_224777,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_224532,c_203574]) ).
tcf(c_224779,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(nbr_proc)))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_224532,c_204463]) ).
tcf(c_224786,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_224532,c_206704]) ).
tcf(c_224787,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_224532,c_202059]) ).
tcf(c_224789,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_224532,c_214130]) ).
tcf(c_224790,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_224532,c_202061]) ).
tcf(c_224795,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(nbr_proc,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_224532,c_202065]) ).
tcf(c_224798,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(host(sK8),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_224532,c_202431]) ).
tcf(c_224809,plain,
( leq(host(sK8),s(s(nbr_proc)))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_224532,c_203410]) ).
tcf(c_224812,plain,
( leq(nbr_proc,s(s(host(sK2))))
| leq(host(sK8),s(s(nbr_proc)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_224532,c_202057]) ).
tcf(c_224830,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(light_normalisation,[status(thm)],[c_224757,c_202443]) ).
tcf(c_224865,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(nbr_proc))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(light_normalisation,[status(thm)],[c_224756,c_202443]) ).
tcf(c_224961,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_224766,c_208821]) ).
tcf(c_224965,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_224766,c_202047]) ).
tcf(c_224966,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(s(s(X0))) = nbr_proc )
| ~ leq(s(s(s(X0))),nbr_proc) ),
inference(superposition,[status(thm)],[c_224766,c_109]) ).
tcf(c_224967,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(nbr_proc))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_224766,c_106]) ).
tcf(c_224968,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0)))
| ( s(s(s(X0))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_224766,c_114]) ).
tcf(c_224969,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_224766,c_218832]) ).
tcf(c_225004,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(X2))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_222536,c_209486]) ).
tcf(c_225010,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,nbr_proc)
| leq(X1,host(sK8))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_219292,c_209486]) ).
tcf(c_225013,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_203736,c_209486]) ).
tcf(c_225014,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(host(X2),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_209486]) ).
tcf(c_225015,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(s(X2),nbr_proc)
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_201841,c_209486]) ).
tcf(c_225016,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(X0),nbr_proc)
| leq(host(X2),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_209486]) ).
tcf(c_225021,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(host(X0),s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203812,c_209486]) ).
tcf(c_225022,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(host(X0),s(host(sK2)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_209486]) ).
tcf(c_225024,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(host(X0),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_201621,c_209486]) ).
tcf(c_225025,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,nbr_proc)
| leq(X1,X2)
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_209486]) ).
tcf(c_225027,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_203667,c_209486]) ).
tcf(c_225028,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_201592,c_209486]) ).
tcf(c_225029,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_201706,c_209486]) ).
tcf(c_225032,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(X0),s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_201871,c_209486]) ).
tcf(c_225033,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),nbr_proc)
| leq(X1,s(zero))
| leq(sK10(sK6,sK8),X1)
| leq(host(X0),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_209486]) ).
tcf(c_225034,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(host(X0),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_209486]) ).
tcf(c_225035,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),nbr_proc)
| leq(X1,s(zero))
| leq(sK10(sK7,sK8),X1)
| leq(host(X0),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_209486]) ).
tcf(c_225036,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(host(X0),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_209486]) ).
tcf(c_225037,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),nbr_proc)
| leq(host(X0),host(sK8))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_201751,c_209486]) ).
tcf(c_225038,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),nbr_proc)
| leq(host(X0),host(sK8))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_201759,c_209486]) ).
tcf(c_225039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X2,X3)
| leq(X1,X2)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208818,c_209486]) ).
tcf(c_225040,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,s(nbr_proc))
| leq(host(X2),nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_222343,c_209486]) ).
tcf(c_225041,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(host(X2),nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208826,c_209486]) ).
tcf(c_225044,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(host(X0),X1)
| leq(sK10(sK6,sK8),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_209486]) ).
tcf(c_225045,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(host(X0),X1)
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_209486]) ).
tcf(c_225048,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(host(X0),X1)
| leq(sK10(sK7,sK8),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_209486]) ).
tcf(c_225049,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(host(X0),X1)
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_209486]) ).
tcf(c_225053,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,s(X2))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_204008,c_209486]) ).
tcf(c_225058,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(X0),s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_203745,c_209486]) ).
tcf(c_225059,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),nbr_proc)
| leq(host(X0),s(zero))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_201949,c_209486]) ).
tcf(c_225060,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),nbr_proc)
| leq(host(X0),s(zero))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_201968,c_209486]) ).
tcf(c_225065,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X1,host(sK8))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_203667,c_209486]) ).
tcf(c_225084,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(host(X1),s(s(X0)))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_209486]) ).
tcf(c_225085,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X1,host(sK8))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_203811,c_209486]) ).
tcf(c_225086,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(zero,s(s(X2)))
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_206392,c_209486]) ).
tcf(c_225087,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(s(zero),s(X2))
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_204993,c_209486]) ).
tcf(c_225088,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(zero,s(X2))
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_204430,c_209486]) ).
tcf(c_225089,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(s(zero),X2)
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_204992,c_209486]) ).
tcf(c_225090,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,nbr_proc)
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_204429,c_209486]) ).
tcf(c_225101,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(host(X0),sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_209486]) ).
tcf(c_225102,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(host(X0),sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_209486]) ).
tcf(c_225105,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(host(X0),sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_209486]) ).
tcf(c_225106,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(host(X0),sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_209486]) ).
tcf(c_225114,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(X0),s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_204514,c_209486]) ).
tcf(c_225125,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(host(X2),s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207157,c_209486]) ).
tcf(c_225126,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,s(X2))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_209486]) ).
tcf(c_225127,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(host(X2),s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207159,c_209486]) ).
tcf(c_225128,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_206375,c_209486]) ).
tcf(c_225129,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(s(zero),X2)
| leq(host(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_208896,c_209486]) ).
tcf(c_225130,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(zero,s(X2))
| leq(host(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_206666,c_209486]) ).
tcf(c_225131,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,nbr_proc)
| leq(host(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_207190,c_209486]) ).
tcf(c_225137,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),nbr_proc)
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_206326,c_209486]) ).
tcf(c_225143,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X1,host(sK8))
| leq(host(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206383,c_209486]) ).
tcf(c_225144,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(host(X1),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_214574,c_209486]) ).
tcf(c_225152,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),nbr_proc)
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_206181,c_209486]) ).
tcf(c_225153,plain,
! [X0: $i,X1: $i] :
( leq(sK10(sK6,sK8),nbr_proc)
| leq(host(X0),host(X1))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_206186,c_209486]) ).
tcf(c_225154,plain,
! [X0: $i,X1: $i] :
( leq(sK10(sK7,sK8),nbr_proc)
| leq(host(X0),host(X1))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_206187,c_209486]) ).
tcf(c_225159,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,s(nbr_proc))
| leq(host(X2),nbr_proc)
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_222883,c_209486]) ).
tcf(c_225160,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(host(X2),nbr_proc)
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_222874,c_209486]) ).
tcf(c_225161,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(host(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208835,c_209486]) ).
tcf(c_225165,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),nbr_proc)
| leq(host(X1),s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215263,c_209486]) ).
tcf(c_225166,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_210349,c_209486]) ).
tcf(c_225171,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,nbr_proc)
| leq(host(X0),s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208879,c_209486]) ).
tcf(c_225177,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(host(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_216080,c_209486]) ).
tcf(c_225405,plain,
! [X0: $i] :
( leq(host(sK2),X0)
| leq(X0,s(s(nbr_proc)))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_223102]) ).
tcf(c_225406,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_202369,c_223102]) ).
tcf(c_225408,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(s(nbr_proc)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_223102,c_204714]) ).
tcf(c_225411,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(host(X1),X2)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_223102,c_208821]) ).
tcf(c_225412,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(X1),nbr_proc)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_223102,c_205100]) ).
tcf(c_225415,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(nbr_proc)))
| ( host(X1) = X0 )
| ~ leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_223102,c_109]) ).
tcf(c_225416,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),X1)
| leq(X0,s(s(nbr_proc)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_223102,c_106]) ).
tcf(c_225417,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),X1)
| leq(s(X1),s(s(nbr_proc)))
| ( host(X0) = s(X1) ) ),
inference(superposition,[status(thm)],[c_223102,c_114]) ).
tcf(c_225419,plain,
! [X0: $i] :
( leq(host(sK8),s(s(nbr_proc)))
| ( s(host(X0)) = nbr_proc )
| ~ leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_223102,c_208692]) ).
tcf(c_225421,plain,
! [X0: $i,X1: $i] :
( leq(s(host(X1)),X0)
| leq(host(sK8),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223102,c_204891]) ).
tcf(c_225422,plain,
! [X0: $i] :
( leq(s(host(X0)),nbr_proc)
| leq(host(sK8),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_223102,c_202427]) ).
tcf(c_225424,plain,
( leq(sK10(sK6,sK8),s(s(nbr_proc)))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_223102,c_201741]) ).
tcf(c_225425,plain,
( leq(sK10(sK7,sK8),s(s(nbr_proc)))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_223102,c_201742]) ).
tcf(c_225426,plain,
( leq(host(sK8),s(s(nbr_proc)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_223102,c_202410]) ).
tcf(c_225435,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(s(nbr_proc)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_223102,c_202057]) ).
tcf(c_225437,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(host(X1),host(sK8))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_223102,c_204714]) ).
tcf(c_225440,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),X2)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_223102,c_208821]) ).
tcf(c_225444,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ( s(s(nbr_proc)) = X0 )
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_223102,c_109]) ).
tcf(c_225445,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),X2)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_223102,c_106]) ).
tcf(c_225446,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X1),X0)
| ( s(s(nbr_proc)) = X0 ) ),
inference(superposition,[status(thm)],[c_223102,c_114]) ).
tcf(c_225454,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(s(nbr_proc)))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_223102,c_204001]) ).
tcf(c_225457,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(host(X1),nbr_proc)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_223102,c_218832]) ).
tcf(c_225460,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(s(nbr_proc)))
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_223102,c_204463]) ).
tcf(c_225469,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X1),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223102,c_214621]) ).
tcf(c_225470,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_223102,c_214130]) ).
tcf(c_225476,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(nbr_proc)))
| leq(host(X0),s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_223102,c_202065]) ).
tcf(c_225493,plain,
! [X0: $i] :
( leq(host(X0),host(sK2))
| leq(host(sK8),s(s(nbr_proc)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_223102,c_202057]) ).
tcf(c_225611,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK2),s(s(X0)))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_225028]) ).
tcf(c_225617,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(host(X2),nbr_proc)
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_225028,c_209486]) ).
tcf(c_225618,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(host(X2),X0)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_225028,c_208821]) ).
tcf(c_225619,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),nbr_proc)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_225028,c_205100]) ).
tcf(c_225620,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),nbr_proc)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_225028,c_203571]) ).
tcf(c_225622,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| ( s(s(X0)) = host(X1) )
| ~ leq(s(s(X0)),host(X1)) ),
inference(superposition,[status(thm)],[c_225028,c_109]) ).
tcf(c_225623,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(host(X2),X1)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_225028,c_106]) ).
tcf(c_225624,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),s(X0))
| ( s(s(X0)) = host(X1) ) ),
inference(superposition,[status(thm)],[c_225028,c_114]) ).
tcf(c_225631,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_225028,c_202057]) ).
tcf(c_225667,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),X0)
| leq(X0,s(s(s(nbr_proc))))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_225424,c_208821]) ).
tcf(c_225671,plain,
( ( s(s(nbr_proc)) = sK10(sK6,sK8) )
| ~ iPr_def_12
| ~ leq(s(s(nbr_proc)),sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_225424,c_109]) ).
tcf(c_225672,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_225424,c_106]) ).
tcf(c_225673,plain,
( leq(sK10(sK6,sK8),s(nbr_proc))
| ( s(s(nbr_proc)) = sK10(sK6,sK8) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_225424,c_114]) ).
tcf(c_225693,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),X0)
| leq(X0,s(s(s(nbr_proc))))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_225425,c_208821]) ).
tcf(c_225697,plain,
( ( s(s(nbr_proc)) = sK10(sK7,sK8) )
| ~ iPr_def_12
| ~ leq(s(s(nbr_proc)),sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_225425,c_109]) ).
tcf(c_225698,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_225425,c_106]) ).
tcf(c_225699,plain,
( leq(sK10(sK7,sK8),s(nbr_proc))
| ( s(s(nbr_proc)) = sK10(sK7,sK8) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_225425,c_114]) ).
tcf(c_225719,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(s(sK10(sK6,sK8))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204368,c_208821]) ).
tcf(c_225723,plain,
( ( s(s(s(sK10(sK6,sK8)))) = s(zero) )
| ~ iPr_def_11
| ~ leq(s(s(s(sK10(sK6,sK8)))),s(zero)) ),
inference(superposition,[status(thm)],[c_204368,c_109]) ).
tcf(c_225724,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_11
| ~ leq(s(s(s(sK10(sK6,sK8)))),X0) ),
inference(superposition,[status(thm)],[c_204368,c_106]) ).
tcf(c_225725,plain,
( leq(s(zero),s(s(sK10(sK6,sK8))))
| ( s(s(s(sK10(sK6,sK8)))) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204368,c_114]) ).
tcf(c_225801,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(s(sK10(sK7,sK8))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204623,c_208821]) ).
tcf(c_225805,plain,
( ( s(s(s(sK10(sK7,sK8)))) = s(zero) )
| ~ iPr_def_11
| ~ leq(s(s(s(sK10(sK7,sK8)))),s(zero)) ),
inference(superposition,[status(thm)],[c_204623,c_109]) ).
tcf(c_225806,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_11
| ~ leq(s(s(s(sK10(sK7,sK8)))),X0) ),
inference(superposition,[status(thm)],[c_204623,c_106]) ).
tcf(c_225807,plain,
( leq(s(zero),s(s(sK10(sK7,sK8))))
| ( s(s(s(sK10(sK7,sK8)))) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204623,c_114]) ).
tcf(c_225829,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(host(sK8)))
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_204788,c_204714]) ).
tcf(c_225830,plain,
( leq(nbr_proc,s(host(sK8)))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204788,c_202428]) ).
tcf(c_225836,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| ( s(s(s(s(nbr_proc)))) = X0 )
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_204788,c_109]) ).
tcf(c_225837,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_204788,c_106]) ).
tcf(c_225846,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_204001]) ).
tcf(c_225850,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_203574]) ).
tcf(c_225852,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(host(X1)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_204463]) ).
tcf(c_225859,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(X0))))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_206704]) ).
tcf(c_225862,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_204788,c_214130]) ).
tcf(c_225863,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(s(X0)))))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_202061]) ).
tcf(c_225868,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(nbr_proc)))))
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_204788,c_202065]) ).
tcf(c_225871,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_204788,c_202431]) ).
tcf(c_225873,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_204171]) ).
tcf(c_225882,plain,
( leq(nbr_proc,s(s(s(s(nbr_proc)))))
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_203410]) ).
tcf(c_225885,plain,
( leq(nbr_proc,s(host(sK2)))
| leq(host(sK8),s(s(s(s(nbr_proc)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_204788,c_202057]) ).
tcf(c_225892,plain,
( leq(nbr_proc,s(s(s(s(nbr_proc)))))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_204788,c_204770]) ).
tcf(c_225895,plain,
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(light_normalisation,[status(thm)],[c_225830,c_202443]) ).
tcf(c_225909,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,X0)
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(light_normalisation,[status(thm)],[c_225829,c_202443]) ).
tcf(c_225926,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(s(s(s(s(s(s(nbr_proc)))))))))) ),
inference(superposition,[status(thm)],[c_204795,c_208821]) ).
tcf(c_225930,plain,
( ( s(s(s(s(s(s(s(s(nbr_proc)))))))) = nbr_proc )
| ~ leq(s(s(s(s(s(s(s(s(nbr_proc)))))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_204795,c_109]) ).
tcf(c_225931,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(s(s(s(s(s(s(nbr_proc)))))))),X0) ),
inference(superposition,[status(thm)],[c_204795,c_106]) ).
tcf(c_225933,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(s(s(s(s(s(s(s(nbr_proc))))))))) ),
inference(superposition,[status(thm)],[c_204795,c_218832]) ).
tcf(c_225934,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(s(s(s(s(nbr_proc))))))))) ),
inference(superposition,[status(thm)],[c_204795,c_203574]) ).
tcf(c_225949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),
inference(superposition,[status(thm)],[c_224636,c_135]) ).
tcf(c_225950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24) != q_nil,
inference(superposition,[status(thm)],[c_224636,c_137]) ).
tcf(c_225951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24)),
inference(superposition,[status(thm)],[c_224636,c_101]) ).
tcf(c_225952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25)) ),
inference(superposition,[status(thm)],[c_224636,c_102]) ).
tcf(c_225953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25)) ),
inference(superposition,[status(thm)],[c_224636,c_103]) ).
tcf(c_225954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X0)),
inference(superposition,[status(thm)],[c_224636,c_203176]) ).
tcf(c_225955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X0))),
inference(superposition,[status(thm)],[c_224636,c_203596]) ).
tcf(c_225956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X0)))),
inference(superposition,[status(thm)],[c_224636,c_207142]) ).
tcf(c_225966,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_222536,c_210335]) ).
tcf(c_225972,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(X0,s(X1))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_219292,c_210335]) ).
tcf(c_225980,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(host(sK8)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_219292,c_210335]) ).
tcf(c_225981,plain,
! [X0: $i] :
( leq(X0,s(host(sK8)))
| ( s(s(s(X0))) = nbr_proc )
| ~ leq(s(s(s(X0))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_210335]) ).
tcf(c_225982,plain,
! [X0: $i] :
( leq(X0,s(host(sK8)))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_203667,c_210335]) ).
tcf(c_225987,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(zero,s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_210335]) ).
tcf(c_225999,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_210335]) ).
tcf(c_226000,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK6,sK8)))
| leq(s(zero),s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_210335]) ).
tcf(c_226001,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_210335]) ).
tcf(c_226002,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK7,sK8)))
| leq(s(zero),s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_210335]) ).
tcf(c_226008,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(X1))))
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_210335]) ).
tcf(c_226015,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(s(nbr_proc))))
| leq(host(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_223102,c_210335]) ).
tcf(c_226021,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_222536,c_210335]) ).
tcf(c_226028,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(nbr_proc)))))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208858,c_210335]) ).
tcf(c_226098,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,s(host(sK8)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_219292,c_210420]) ).
tcf(c_226099,plain,
( leq(zero,s(host(sK8)))
| ( s(s(s(nbr_proc))) = nbr_proc )
| ~ leq(s(s(s(nbr_proc))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_210420]) ).
tcf(c_226100,plain,
( leq(zero,s(host(sK8)))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_203667,c_210420]) ).
tcf(c_226126,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_210420]) ).
tcf(c_226152,plain,
( leq(zero,nbr_proc)
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(light_normalisation,[status(thm)],[c_226100,c_202443]) ).
tcf(c_226155,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(zero,X0)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(light_normalisation,[status(thm)],[c_226098,c_202443]) ).
tcf(c_226156,plain,
( leq(zero,nbr_proc)
| ( s(s(s(nbr_proc))) = nbr_proc )
| ~ leq(s(s(s(nbr_proc))),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_226099,c_202443]) ).
tcf(c_226161,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(X0))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_222536,c_211309]) ).
tcf(c_226176,plain,
( leq(host(sK8),s(host(sK8)))
| ( s(s(nbr_proc)) = nbr_proc )
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_211309]) ).
tcf(c_226177,plain,
( leq(nbr_proc,s(s(s(nbr_proc))))
| leq(host(sK8),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_203667,c_211309]) ).
tcf(c_226203,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(X0))))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_211309]) ).
tcf(c_226205,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(X0))))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_207159,c_211309]) ).
tcf(c_226216,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_222536,c_211309]) ).
tcf(c_226217,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208857,c_211309]) ).
tcf(c_226222,plain,
( leq(nbr_proc,s(s(s(nbr_proc))))
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_223178,c_211309]) ).
tcf(c_226223,plain,
( leq(host(sK8),s(s(nbr_proc)))
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208858,c_211309]) ).
tcf(c_226234,plain,
( leq(host(sK8),nbr_proc)
| ( s(s(nbr_proc)) = nbr_proc )
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_226176,c_202443]) ).
tcf(c_226273,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(zero,s(X0)) ),
inference(superposition,[status(thm)],[c_222536,c_211410]) ).
tcf(c_226279,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_211410]) ).
tcf(c_226284,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_201841,c_211410]) ).
tcf(c_226285,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(zero,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_211410]) ).
tcf(c_226290,plain,
( leq(nbr_proc,nbr_proc)
| leq(zero,s(s(host(sK2))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203812,c_211410]) ).
tcf(c_226291,plain,
( leq(nbr_proc,nbr_proc)
| leq(zero,s(s(host(sK2))))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_211410]) ).
tcf(c_226293,plain,
( leq(host(sK8),nbr_proc)
| leq(zero,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_201621,c_211410]) ).
tcf(c_226296,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(zero,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_203667,c_211410]) ).
tcf(c_226311,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(host(X1),nbr_proc)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_223102,c_211410]) ).
tcf(c_226314,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(zero))
| leq(sK10(sK6,sK8),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_211410]) ).
tcf(c_226315,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(zero))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_211410]) ).
tcf(c_226318,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(zero))
| leq(sK10(sK7,sK8),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_211410]) ).
tcf(c_226319,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(zero))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_211410]) ).
tcf(c_226320,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,s(X0))
| leq(s(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_211410]) ).
tcf(c_226329,plain,
( leq(zero,s(s(zero)))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_201949,c_211410]) ).
tcf(c_226330,plain,
( leq(zero,s(s(zero)))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_201968,c_211410]) ).
tcf(c_226335,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK8))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_203667,c_211410]) ).
tcf(c_226354,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,s(s(s(X0))))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_211410]) ).
tcf(c_226397,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(s(X1))))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207157,c_211410]) ).
tcf(c_226399,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(s(X1))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207159,c_211410]) ).
tcf(c_226433,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X1),nbr_proc)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_222883,c_211410]) ).
tcf(c_226450,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_216080,c_211410]) ).
tcf(c_226457,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),nbr_proc)
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_225028,c_211410]) ).
tcf(c_226460,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X0)) ),
inference(light_normalisation,[status(thm)],[c_226296,c_202443]) ).
tcf(c_226548,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(s(s(s(host(X1)))))))) ),
inference(superposition,[status(thm)],[c_205006,c_208821]) ).
tcf(c_226552,plain,
! [X0: $i] :
( ( s(s(s(s(s(host(X0)))))) = s(zero) )
| ~ leq(s(s(s(s(s(host(X0)))))),s(zero)) ),
inference(superposition,[status(thm)],[c_205006,c_109]) ).
tcf(c_226553,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ~ leq(s(s(s(s(s(host(X0)))))),X1) ),
inference(superposition,[status(thm)],[c_205006,c_106]) ).
tcf(c_226577,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( s(s(s(X0))) = zero )
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_206382,c_109]) ).
tcf(c_226578,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,host(sK8))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_206382,c_106]) ).
tcf(c_226579,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(zero,s(s(X0)))
| ( s(s(s(X0))) = zero ) ),
inference(superposition,[status(thm)],[c_206382,c_114]) ).
tcf(c_226590,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(s(s(s(s(s(s(host(sK8))))))))),X0) ),
inference(superposition,[status(thm)],[c_206387,c_204714]) ).
tcf(c_226591,plain,
leq(nbr_proc,s(s(s(s(s(s(s(s(host(sK8)))))))))),
inference(superposition,[status(thm)],[c_206387,c_202428]) ).
tcf(c_226593,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(X0),s(s(s(s(s(s(s(X1)))))))) ),
inference(superposition,[status(thm)],[c_206387,c_209486]) ).
tcf(c_226595,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_206387,c_205100]) ).
tcf(c_226599,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(s(s(s(s(s(s(s(X0))))))),X1) ),
inference(superposition,[status(thm)],[c_206387,c_106]) ).
tcf(c_226602,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(s(s(s(s(s(s(X0))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_204027]) ).
tcf(c_226603,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(X0,s(s(s(s(s(s(s(s(X1))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_204001]) ).
tcf(c_226609,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(s(s(s(host(X1))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_204463]) ).
tcf(c_226619,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206387,c_214621]) ).
tcf(c_226620,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_214130]) ).
tcf(c_226622,plain,
( leq(zero,s(s(s(s(s(s(s(sK10(sK6,sK8)))))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206387,c_203775]) ).
tcf(c_226623,plain,
( leq(s(zero),s(s(s(s(s(s(s(sK10(sK6,sK8)))))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206387,c_202063]) ).
tcf(c_226624,plain,
( leq(zero,s(s(s(s(s(s(s(sK10(sK7,sK8)))))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206387,c_203787]) ).
tcf(c_226625,plain,
( leq(s(zero),s(s(s(s(s(s(s(sK10(sK7,sK8)))))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206387,c_202064]) ).
tcf(c_226626,plain,
! [X0: $i] : leq(X0,s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))),
inference(superposition,[status(thm)],[c_206387,c_202065]) ).
tcf(c_226636,plain,
! [X0: $i] : leq(host(X0),s(s(s(s(s(s(s(s(s(nbr_proc)))))))))),
inference(superposition,[status(thm)],[c_206387,c_223104]) ).
tcf(c_226641,plain,
leq(s(zero),s(s(s(s(s(s(s(s(s(s(nbr_proc))))))))))),
inference(superposition,[status(thm)],[c_206387,c_206606]) ).
tcf(c_226642,plain,
leq(host(sK8),s(s(s(s(s(s(s(s(s(s(nbr_proc))))))))))),
inference(superposition,[status(thm)],[c_206387,c_203410]) ).
tcf(c_226644,plain,
leq(zero,s(s(s(s(s(s(s(s(s(s(s(nbr_proc)))))))))))),
inference(superposition,[status(thm)],[c_206387,c_203989]) ).
tcf(c_226645,plain,
( leq(host(sK8),s(s(s(s(s(s(s(host(sK2)))))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_206387,c_202057]) ).
tcf(c_226649,plain,
! [X0: $i] : leq(s(zero),s(s(s(s(s(s(s(s(s(host(X0))))))))))),
inference(superposition,[status(thm)],[c_206387,c_206597]) ).
tcf(c_226651,plain,
! [X0: $i] : leq(zero,s(s(s(s(s(s(s(s(s(s(host(X0)))))))))))),
inference(superposition,[status(thm)],[c_206387,c_202069]) ).
tcf(c_226653,plain,
leq(nbr_proc,s(s(s(s(s(s(s(s(s(s(s(s(s(nbr_proc)))))))))))))),
inference(superposition,[status(thm)],[c_206387,c_211870]) ).
tcf(c_226755,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(s(zero),s(s(X0)))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_206391]) ).
tcf(c_226759,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(s(zero),s(s(host(sK8))))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_206391,c_204714]) ).
tcf(c_226760,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(X0)))
| leq(s(zero),s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_206391,c_202428]) ).
tcf(c_226761,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(host(X1)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206391,c_211410]) ).
tcf(c_226762,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),host(X2))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206391,c_209486]) ).
tcf(c_226763,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,s(host(X2)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206391,c_208821]) ).
tcf(c_226764,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),host(X1))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206391,c_205100]) ).
tcf(c_226767,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(X1)))
| ( host(X0) = X1 )
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_206391,c_109]) ).
tcf(c_226768,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(s(zero),s(s(X2)))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_206391,c_106]) ).
tcf(c_226770,plain,
! [X0: $i] :
( leq(s(zero),s(s(host(sK2))))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_206391,c_203633]) ).
tcf(c_226771,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_206391,c_208692]) ).
tcf(c_226773,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),X0)
| leq(s(zero),s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206391,c_204891]) ).
tcf(c_226774,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206391,c_202427]) ).
tcf(c_226780,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(X1))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206391,c_204027]) ).
tcf(c_226781,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,host(X2))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206391,c_204001]) ).
tcf(c_226784,plain,
( leq(s(zero),s(s(host(sK2))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_206391,c_202410]) ).
tcf(c_226797,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| leq(s(zero),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_206391,c_210335]) ).
tcf(c_226798,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X1))
| leq(s(zero),s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206391,c_214621]) ).
tcf(c_226799,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(X1))
| leq(s(zero),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_206391,c_214130]) ).
tcf(c_226805,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(s(zero),s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_206391,c_202065]) ).
tcf(c_226827,plain,
! [X0: $i] :
( leq(host(sK8),host(X0))
| leq(s(zero),s(s(host(sK2))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_206391,c_202057]) ).
tcf(c_226840,plain,
! [X0: $i] :
( leq(s(zero),s(s(host(sK7))))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_206391,c_206837]) ).
tcf(c_226843,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X0)
| leq(X1,host(X2))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206391,c_208821]) ).
tcf(c_226847,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| ( s(s(X0)) = s(zero) )
| ~ leq(s(s(X0)),s(zero)) ),
inference(superposition,[status(thm)],[c_206391,c_109]) ).
tcf(c_226848,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X1)
| leq(X0,host(X2))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206391,c_106]) ).
tcf(c_226857,plain,
! [X0: $i] :
( leq(s(zero),s(nbr_proc))
| leq(nbr_proc,s(host(X0))) ),
inference(light_normalisation,[status(thm)],[c_226760,c_202443]) ).
tcf(c_226895,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(s(zero),s(nbr_proc))
| ~ leq(s(host(X0)),X1) ),
inference(light_normalisation,[status(thm)],[c_226759,c_202443]) ).
tcf(c_227302,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_202443,c_208028]) ).
tcf(c_227306,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X2,nbr_proc)
| leq(X1,s(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208028,c_208821]) ).
tcf(c_227309,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X1,nbr_proc)
| leq(X2,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208028,c_202047]) ).
tcf(c_227310,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_208028,c_109]) ).
tcf(c_227311,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X2,nbr_proc)
| leq(X0,s(X2))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208028,c_106]) ).
tcf(c_227312,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,s(X1))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_208028,c_114]) ).
tcf(c_227313,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X2)
| leq(X2,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208028,c_218832]) ).
tcf(c_227314,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X1,nbr_proc)
| leq(X2,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208028,c_203574]) ).
tcf(c_227320,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(host(sK8)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_208028,c_204714]) ).
tcf(c_227321,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(sK8)))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208028,c_202428]) ).
tcf(c_227323,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(X2))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208028,c_209486]) ).
tcf(c_227325,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208028,c_205100]) ).
tcf(c_227328,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| ( s(X0) = X1 )
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208028,c_109]) ).
tcf(c_227329,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(X2,X1)
| leq(nbr_proc,s(X2))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208028,c_106]) ).
tcf(c_227330,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,X0)
| leq(nbr_proc,s(X1))
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_208028,c_114]) ).
tcf(c_227337,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208028,c_204027]) ).
tcf(c_227338,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X1)
| leq(X1,s(X2))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208028,c_204001]) ).
tcf(c_227341,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208028,c_218832]) ).
tcf(c_227342,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208028,c_203574]) ).
tcf(c_227344,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,nbr_proc)
| leq(X1,s(X2))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_208028,c_204463]) ).
tcf(c_227351,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208028,c_206704]) ).
tcf(c_227355,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208028,c_214130]) ).
tcf(c_227361,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208028,c_202065]) ).
tcf(c_227365,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208028,c_207255]) ).
tcf(c_227367,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208028,c_202431]) ).
tcf(c_227368,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208028,c_223710]) ).
tcf(c_227370,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208028,c_205039]) ).
tcf(c_227380,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(X0))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208028,c_203410]) ).
tcf(c_227383,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(sK2)))
| leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208028,c_202057]) ).
tcf(c_227385,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(X1))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_208028,c_205062]) ).
tcf(c_227387,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(X1))
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_208028,c_206597]) ).
tcf(c_227388,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_208028,c_204502]) ).
tcf(c_227389,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_208028,c_202069]) ).
tcf(c_227390,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208028,c_204770]) ).
tcf(c_227392,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_208028,c_211870]) ).
tcf(c_227395,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(light_normalisation,[status(thm)],[c_227321,c_202443]) ).
tcf(c_227475,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| ~ leq(s(s(X0)),X1) ),
inference(light_normalisation,[status(thm)],[c_227320,c_202443]) ).
tcf(c_227503,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_208034,c_208821]) ).
tcf(c_227507,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(s(s(s(s(X0))))) = nbr_proc )
| ~ leq(s(s(s(s(s(X0))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_208034,c_109]) ).
tcf(c_227508,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| ~ leq(s(s(s(s(s(X0))))),X1) ),
inference(superposition,[status(thm)],[c_208034,c_106]) ).
tcf(c_227510,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X0)
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_208034,c_218832]) ).
tcf(c_227511,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_208034,c_203574]) ).
tcf(c_227537,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| ~ leq(host(sK8),host(sK8)) ),
inference(superposition,[status(thm)],[c_202443,c_208344]) ).
tcf(c_227538,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,s(s(s(s(X0)))))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208344,c_211410]) ).
tcf(c_227539,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(host(X1),s(s(s(X0))))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208344,c_209486]) ).
tcf(c_227540,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(s(s(s(X0)))))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208344,c_208821]) ).
tcf(c_227541,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(s(zero),s(s(s(X0))))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208344,c_205100]) ).
tcf(c_227544,plain,
! [X0: $i] :
( ( s(s(s(X0))) = nbr_proc )
| ~ leq(host(sK8),X0)
| ~ leq(s(s(s(X0))),nbr_proc) ),
inference(superposition,[status(thm)],[c_208344,c_109]) ).
tcf(c_227546,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| ( s(s(s(X0))) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208344,c_114]) ).
tcf(c_227547,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(s(s(X0))))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208344,c_218832]) ).
tcf(c_227548,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(s(X0))))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208344,c_203574]) ).
tcf(c_227549,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208344,c_202466]) ).
tcf(c_227550,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208344,c_207255]) ).
tcf(c_227552,plain,
! [X0: $i] :
( leq(host(sK8),s(s(X0)))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208344,c_202431]) ).
tcf(c_227592,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK8))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_202443,c_208833]) ).
tcf(c_227593,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,host(sK8))
| leq(nbr_proc,s(host(sK8)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208833,c_204714]) ).
tcf(c_227595,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(zero,s(X0))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_211410]) ).
tcf(c_227596,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(nbr_proc,s(X2))
| leq(X1,host(sK8))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208833,c_209486]) ).
tcf(c_227597,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(X1,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208833,c_208821]) ).
tcf(c_227598,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X0,host(sK8))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208833,c_205100]) ).
tcf(c_227601,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X0,host(sK8))
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208833,c_109]) ).
tcf(c_227602,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(nbr_proc,s(X2))
| leq(X0,host(sK8))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208833,c_106]) ).
tcf(c_227603,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(s(X0),host(sK8))
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_208833,c_114]) ).
tcf(c_227604,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_115]) ).
tcf(c_227606,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(sK2)))
| leq(host(X0),host(sK8))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_208833,c_203633]) ).
tcf(c_227608,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc))
| leq(host(sK8),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_208342]) ).
tcf(c_227609,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(s(X1),X0)
| leq(host(sK8),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208833,c_204891]) ).
tcf(c_227610,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(X0),nbr_proc)
| leq(host(sK8),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_202427]) ).
tcf(c_227615,plain,
( leq(nbr_proc,s(s(zero)))
| leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),host(sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_208833,c_201931]) ).
tcf(c_227616,plain,
( leq(nbr_proc,s(s(zero)))
| leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),host(sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_208833,c_201932]) ).
tcf(c_227617,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_208833,c_201873]) ).
tcf(c_227620,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_204027]) ).
tcf(c_227621,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_204001]) ).
tcf(c_227622,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_203735]) ).
tcf(c_227625,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(nbr_proc,s(nbr_proc))
| leq(X1,host(sK8))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208833,c_218832]) ).
tcf(c_227626,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_203574]) ).
tcf(c_227628,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_204463]) ).
tcf(c_227629,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(host(X1)))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_207779]) ).
tcf(c_227630,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(host(X1)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208833,c_204994]) ).
tcf(c_227631,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_204431]) ).
tcf(c_227632,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),X1)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_202051]) ).
tcf(c_227634,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208833,c_206377]) ).
tcf(c_227635,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208833,c_206704]) ).
tcf(c_227636,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208833,c_202059]) ).
tcf(c_227637,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208833,c_210335]) ).
tcf(c_227639,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208833,c_214130]) ).
tcf(c_227640,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208833,c_202061]) ).
tcf(c_227641,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_203775]) ).
tcf(c_227642,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),X0)
| leq(nbr_proc,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_202063]) ).
tcf(c_227643,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_203787]) ).
tcf(c_227644,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),X0)
| leq(nbr_proc,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_202064]) ).
tcf(c_227645,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208833,c_202065]) ).
tcf(c_227646,plain,
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(sK10(sK6,sK8)))
| ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_202347]) ).
tcf(c_227647,plain,
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(sK10(sK7,sK8)))
| ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_202348]) ).
tcf(c_227649,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(host(X0),host(sK8))
| ( host(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_208833,c_202336]) ).
tcf(c_227650,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(host(X0),host(sK8))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_208833,c_203951]) ).
tcf(c_227653,plain,
! [X0: $i] :
( leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(X0)))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208833,c_208639]) ).
tcf(c_227655,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(s(zero),X0)
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_207255]) ).
tcf(c_227656,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_203915]) ).
tcf(c_227657,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),X0)
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_202431]) ).
tcf(c_227662,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),X1)
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208833,c_223710]) ).
tcf(c_227664,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),X0)
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208833,c_205039]) ).
tcf(c_227665,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208833,c_203974]) ).
tcf(c_227667,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),s(X0))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208833,c_211309]) ).
tcf(c_227668,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),X1)
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208833,c_223104]) ).
tcf(c_227669,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208833,c_206889]) ).
tcf(c_227670,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),X0)
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208833,c_205087]) ).
tcf(c_227671,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208833,c_202067]) ).
tcf(c_227672,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208833,c_210420]) ).
tcf(c_227673,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),X0)
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208833,c_206606]) ).
tcf(c_227674,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),X0)
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208833,c_203410]) ).
tcf(c_227675,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208833,c_202068]) ).
tcf(c_227680,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208833,c_203989]) ).
tcf(c_227682,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_208833,c_207823]) ).
tcf(c_227683,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),X1)
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_208833,c_205062]) ).
tcf(c_227684,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_208833,c_204492]) ).
tcf(c_227685,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),X1)
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_208833,c_206597]) ).
tcf(c_227686,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_208833,c_204502]) ).
tcf(c_227687,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_208833,c_202069]) ).
tcf(c_227688,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_214522]) ).
tcf(c_227689,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208833,c_204770]) ).
tcf(c_227690,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_208833,c_204971]) ).
tcf(c_227691,plain,
( leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208833,c_204982]) ).
tcf(c_227692,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_208833,c_211870]) ).
tcf(c_227693,plain,
( leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208833,c_213049]) ).
tcf(c_227694,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(sK7)))
| leq(host(X0),host(sK8))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_208833,c_206837]) ).
tcf(c_227696,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X1,X2)
| leq(X2,host(sK8))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208833,c_209486]) ).
tcf(c_227697,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X1,X2)
| leq(X2,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208833,c_208821]) ).
tcf(c_227698,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,X1)
| leq(X1,host(sK8))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208833,c_205100]) ).
tcf(c_227700,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X1,X2)
| leq(X2,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208833,c_202047]) ).
tcf(c_227703,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X0,X1)
| leq(X1,host(sK8))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_208833,c_114]) ).
tcf(c_227704,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,host(sK8))
| leq(host(sK8),X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208833,c_218832]) ).
tcf(c_227708,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208833,c_207255]) ).
tcf(c_227710,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208833,c_202431]) ).
tcf(c_227711,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(X1))
| leq(X1,host(sK8))
| ~ leq(s(host(sK8)),X0) ),
inference(superposition,[status(thm)],[c_208833,c_204714]) ).
tcf(c_227714,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(nbr_proc,s(X1))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_209486]) ).
tcf(c_227715,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(nbr_proc,s(X1))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208833,c_208821]) ).
tcf(c_227717,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(zero,host(sK8))
| leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208833,c_203571]) ).
tcf(c_227718,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(nbr_proc,s(X1))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_202047]) ).
tcf(c_227719,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| ( host(sK8) = X0 )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208833,c_109]) ).
tcf(c_227720,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(nbr_proc,s(X1))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208833,c_106]) ).
tcf(c_227721,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208833,c_117]) ).
tcf(c_227722,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(sK2))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_208833,c_203633]) ).
tcf(c_227723,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208833,c_208692]) ).
tcf(c_227724,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208833,c_208342]) ).
tcf(c_227725,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(nbr_proc,s(X2))
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208833,c_204891]) ).
tcf(c_227726,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_208833,c_202427]) ).
tcf(c_227728,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_208833,c_201589]) ).
tcf(c_227729,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(s(host(sK8))))) ),
inference(superposition,[status(thm)],[c_208833,c_201594]) ).
tcf(c_227730,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(host(sK8)))))) ),
inference(superposition,[status(thm)],[c_208833,c_201708]) ).
tcf(c_227731,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(s(host(sK8))))))) ),
inference(superposition,[status(thm)],[c_208833,c_201873]) ).
tcf(c_227732,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208833,c_204027]) ).
tcf(c_227733,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(nbr_proc,s(X0))
| leq(X2,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208833,c_204001]) ).
tcf(c_227734,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(X0))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208833,c_203735]) ).
tcf(c_227736,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208833,c_202410]) ).
tcf(c_227738,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_203574]) ).
tcf(c_227740,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(nbr_proc,s(X0))
| leq(X2,host(sK8))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208833,c_204463]) ).
tcf(c_227741,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(X1))
| leq(zero,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_208833,c_207779]) ).
tcf(c_227742,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(X1))
| leq(s(zero),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208833,c_204994]) ).
tcf(c_227743,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(X1))
| leq(zero,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208833,c_204431]) ).
tcf(c_227744,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(X1))
| leq(s(zero),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_202051]) ).
tcf(c_227745,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208833,c_203764]) ).
tcf(c_227746,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,s(host(sK8)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208833,c_206377]) ).
tcf(c_227747,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208833,c_206704]) ).
tcf(c_227748,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208833,c_202059]) ).
tcf(c_227749,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,s(host(sK8)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208833,c_210335]) ).
tcf(c_227751,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208833,c_214130]) ).
tcf(c_227752,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,host(sK8))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208833,c_202061]) ).
tcf(c_227753,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_203775]) ).
tcf(c_227754,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(zero),host(sK8))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_202063]) ).
tcf(c_227755,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_203787]) ).
tcf(c_227756,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(zero),host(sK8))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_202064]) ).
tcf(c_227757,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,host(sK8))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208833,c_202065]) ).
tcf(c_227758,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| ( host(sK8) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_208833,c_202336]) ).
tcf(c_227759,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_208833,c_203951]) ).
tcf(c_227764,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_223710]) ).
tcf(c_227765,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(nbr_proc,s(X0))
| leq(X1,host(sK8))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208833,c_204171]) ).
tcf(c_227766,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc))
| leq(s(zero),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_205039]) ).
tcf(c_227767,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc))
| leq(zero,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208833,c_203974]) ).
tcf(c_227768,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208833,c_202066]) ).
tcf(c_227769,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(nbr_proc)))
| leq(host(sK8),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208833,c_211309]) ).
tcf(c_227770,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(s(nbr_proc)))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_223104]) ).
tcf(c_227771,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(zero,s(host(sK8)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208833,c_206889]) ).
tcf(c_227772,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(zero),host(sK8))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208833,c_205087]) ).
tcf(c_227773,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208833,c_202067]) ).
tcf(c_227774,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(zero,s(host(sK8)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208833,c_210420]) ).
tcf(c_227775,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(zero),host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208833,c_206606]) ).
tcf(c_227776,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(host(sK8),host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208833,c_203410]) ).
tcf(c_227779,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(sK2))
| leq(host(sK8),host(sK8))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208833,c_202057]) ).
tcf(c_227780,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(zero,s(host(sK8)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208833,c_207823]) ).
tcf(c_227781,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(s(zero),host(sK8))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208833,c_205062]) ).
tcf(c_227782,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208833,c_204492]) ).
tcf(c_227783,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(s(zero),host(sK8))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208833,c_206597]) ).
tcf(c_227784,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208833,c_204502]) ).
tcf(c_227785,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208833,c_202069]) ).
tcf(c_227788,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(s(s(host(sK8)))))))) ),
inference(superposition,[status(thm)],[c_208833,c_204971]) ).
tcf(c_227795,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(s(nbr_proc),host(sK8)) ),
inference(equality_factoring,[status(thm)],[c_208833]) ).
tcf(c_227796,plain,
( leq(nbr_proc,s(host(sK8)))
| leq(host(sK8),host(sK8)) ),
inference(equality_factoring,[status(thm)],[c_208833]) ).
tcf(c_227818,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_227767,c_202443]) ).
tcf(c_227825,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,host(X1)) ),
inference(light_normalisation,[status(thm)],[c_227743,c_202443]) ).
tcf(c_227852,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(host(X1))) ),
inference(light_normalisation,[status(thm)],[c_227780,c_202443]) ).
tcf(c_227853,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(light_normalisation,[status(thm)],[c_227771,c_202443]) ).
tcf(c_227861,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,host(X1)) ),
inference(light_normalisation,[status(thm)],[c_227742,c_202443]) ).
tcf(c_227862,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(nbr_proc))
| leq(nbr_proc,s(X0))
| leq(X0,host(X1)) ),
inference(light_normalisation,[status(thm)],[c_227741,c_202443]) ).
tcf(c_227901,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(light_normalisation,[status(thm)],[c_227774,c_202443]) ).
tcf(c_227902,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(light_normalisation,[status(thm)],[c_227769,c_202443]) ).
tcf(c_228038,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,X1)
| leq(X0,host(sK8))
| ~ leq(s(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_227593,c_202443]) ).
tcf(c_228039,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227653,c_202441]) ).
tcf(c_228148,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK2))
| leq(zero,s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_211410]) ).
tcf(c_228149,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X1,host(sK2))
| leq(host(X0),s(X1))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_209486]) ).
tcf(c_228150,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(sK2))
| leq(X0,s(s(X1)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_208821]) ).
tcf(c_228151,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK2))
| leq(s(zero),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_205100]) ).
tcf(c_228153,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(sK2))
| leq(X0,s(X1))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_202047]) ).
tcf(c_228154,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| ( host(sK2) = host(sK7) )
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_227736,c_109]) ).
tcf(c_228155,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,host(sK2))
| ( host(sK2) = host(sK7) )
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_227736,c_106]) ).
tcf(c_228156,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,host(sK2))
| ( host(sK2) = host(sK7) )
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_227736,c_114]) ).
tcf(c_228157,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK2))
| leq(host(sK8),X0)
| leq(X0,s(X1))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_218832]) ).
tcf(c_228158,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,host(sK2))
| leq(X0,s(X1))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_203574]) ).
tcf(c_228159,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_202466]) ).
tcf(c_228161,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(s(zero),X0)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_207255]) ).
tcf(c_228164,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(host(sK8)))
| ( host(sK2) = host(sK7) )
| ~ leq(s(host(sK2)),X0) ),
inference(superposition,[status(thm)],[c_227736,c_204714]) ).
tcf(c_228166,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(zero,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_211410]) ).
tcf(c_228167,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(host(X0),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_209486]) ).
tcf(c_228168,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(X0,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_208821]) ).
tcf(c_228169,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(s(zero),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_205100]) ).
tcf(c_228170,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK2))
| leq(nbr_proc,s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_203571]) ).
tcf(c_228171,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(X0,host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_202047]) ).
tcf(c_228172,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| ( host(sK2) = X0 )
| ( host(sK2) = host(sK7) )
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_227736,c_109]) ).
tcf(c_228173,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| ( host(sK2) = host(sK7) )
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_227736,c_106]) ).
tcf(c_228174,plain,
( leq(nbr_proc,s(s(host(sK2))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_117]) ).
tcf(c_228176,plain,
( leq(nbr_proc,s(s(s(host(sK2)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_201589]) ).
tcf(c_228177,plain,
( leq(nbr_proc,s(s(s(s(host(sK2))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_201594]) ).
tcf(c_228178,plain,
( leq(nbr_proc,s(s(s(s(s(host(sK2)))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_201708]) ).
tcf(c_228179,plain,
( leq(nbr_proc,s(s(s(s(s(s(host(sK2))))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_201873]) ).
tcf(c_228180,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK2))
| leq(nbr_proc,s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_204027]) ).
tcf(c_228181,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK2))
| leq(nbr_proc,s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_204001]) ).
tcf(c_228182,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_203735]) ).
tcf(c_228183,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(nbr_proc,s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_201842]) ).
tcf(c_228185,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_203574]) ).
tcf(c_228186,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(zero,host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_202466]) ).
tcf(c_228187,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK2))
| leq(nbr_proc,s(host(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_204463]) ).
tcf(c_228188,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(X0)))
| leq(zero,s(s(host(sK2))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_207779]) ).
tcf(c_228189,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(X0)))
| leq(s(zero),s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_204994]) ).
tcf(c_228190,plain,
! [X0: $i] :
( leq(zero,s(host(sK2)))
| leq(nbr_proc,s(host(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_204431]) ).
tcf(c_228191,plain,
! [X0: $i] :
( leq(s(zero),host(sK2))
| leq(nbr_proc,s(host(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_202051]) ).
tcf(c_228192,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(nbr_proc,s(host(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_203764]) ).
tcf(c_228193,plain,
! [X0: $i] :
( leq(X0,s(host(sK2)))
| leq(nbr_proc,s(s(s(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_206377]) ).
tcf(c_228194,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(sK2))
| leq(nbr_proc,s(s(s(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_206704]) ).
tcf(c_228195,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(nbr_proc,s(s(s(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_202059]) ).
tcf(c_228196,plain,
! [X0: $i] :
( leq(X0,s(host(sK2)))
| leq(nbr_proc,s(s(s(s(X0)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_210335]) ).
tcf(c_228197,plain,
! [X0: $i] :
( leq(nbr_proc,host(sK2))
| leq(nbr_proc,s(s(s(s(X0)))))
| ( host(sK2) = host(sK7) )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227736,c_214621]) ).
tcf(c_228198,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(sK2))
| leq(nbr_proc,s(s(s(s(X0)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_214130]) ).
tcf(c_228199,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(nbr_proc,s(s(s(s(X0)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_202061]) ).
tcf(c_228200,plain,
( leq(zero,host(sK2))
| leq(nbr_proc,s(sK10(sK6,sK8)))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_227736,c_203775]) ).
tcf(c_228201,plain,
( leq(s(zero),host(sK2))
| leq(nbr_proc,s(sK10(sK6,sK8)))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_227736,c_202063]) ).
tcf(c_228202,plain,
( leq(zero,host(sK2))
| leq(nbr_proc,s(sK10(sK7,sK8)))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_227736,c_203787]) ).
tcf(c_228203,plain,
( leq(s(zero),host(sK2))
| leq(nbr_proc,s(sK10(sK7,sK8)))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_227736,c_202064]) ).
tcf(c_228204,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(nbr_proc,s(s(s(s(s(X0))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_202065]) ).
tcf(c_228207,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_223710]) ).
tcf(c_228208,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK2))
| leq(nbr_proc,s(s(nbr_proc)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_204171]) ).
tcf(c_228209,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_205039]) ).
tcf(c_228210,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(zero,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_203974]) ).
tcf(c_228211,plain,
( leq(zero,host(sK2))
| leq(nbr_proc,s(s(nbr_proc)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_202066]) ).
tcf(c_228213,plain,
! [X0: $i] :
( leq(host(X0),host(sK2))
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_223104]) ).
tcf(c_228214,plain,
( leq(zero,s(host(sK2)))
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_206889]) ).
tcf(c_228215,plain,
( leq(s(zero),host(sK2))
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_205087]) ).
tcf(c_228216,plain,
( leq(zero,host(sK2))
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_202067]) ).
tcf(c_228217,plain,
( leq(zero,s(host(sK2)))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_210420]) ).
tcf(c_228218,plain,
( leq(s(zero),host(sK2))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_206606]) ).
tcf(c_228219,plain,
( leq(host(sK8),host(sK2))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_203410]) ).
tcf(c_228220,plain,
( leq(zero,host(sK2))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_202068]) ).
tcf(c_228221,plain,
( leq(zero,host(sK2))
| leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_203989]) ).
tcf(c_228223,plain,
! [X0: $i] :
( leq(zero,s(host(sK2)))
| leq(nbr_proc,s(s(host(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_207823]) ).
tcf(c_228224,plain,
! [X0: $i] :
( leq(s(zero),host(sK2))
| leq(nbr_proc,s(s(host(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_205062]) ).
tcf(c_228225,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(nbr_proc,s(s(host(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_204492]) ).
tcf(c_228226,plain,
! [X0: $i] :
( leq(s(zero),host(sK2))
| leq(nbr_proc,s(s(s(host(X0)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_206597]) ).
tcf(c_228227,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(nbr_proc,s(s(s(host(X0)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_204502]) ).
tcf(c_228228,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(nbr_proc,s(s(s(s(host(X0))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_202069]) ).
tcf(c_228229,plain,
( leq(nbr_proc,host(sK2))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc)))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_204770]) ).
tcf(c_228230,plain,
( leq(nbr_proc,s(s(s(s(s(s(s(host(sK2)))))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_204971]) ).
tcf(c_228231,plain,
( leq(nbr_proc,host(sK2))
| leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc))))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_211870]) ).
tcf(c_228332,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,X0)
| ( host(sK2) = host(sK7) )
| ~ leq(s(host(sK2)),X0) ),
inference(light_normalisation,[status(thm)],[c_228164,c_202443]) ).
tcf(c_228568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),
inference(superposition,[status(thm)],[c_225949,c_135]) ).
tcf(c_228569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25) != q_nil,
inference(superposition,[status(thm)],[c_225949,c_137]) ).
tcf(c_228570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25)),
inference(superposition,[status(thm)],[c_225949,c_101]) ).
tcf(c_228571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26)) ),
inference(superposition,[status(thm)],[c_225949,c_102]) ).
tcf(c_228572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26)) ),
inference(superposition,[status(thm)],[c_225949,c_103]) ).
tcf(c_228573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X0)),
inference(superposition,[status(thm)],[c_225949,c_203176]) ).
tcf(c_228574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X0))),
inference(superposition,[status(thm)],[c_225949,c_203596]) ).
tcf(c_228575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X0)))),
inference(superposition,[status(thm)],[c_225949,c_207142]) ).
tcf(c_228593,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_208833,c_212912]) ).
tcf(c_228603,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(zero,s(host(sK8)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208833,c_212912]) ).
tcf(c_228604,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(host(sK8)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_219292,c_212912]) ).
tcf(c_228605,plain,
! [X0: $i] :
( leq(zero,s(host(sK8)))
| ( s(s(host(X0))) = nbr_proc )
| ~ leq(s(s(host(X0))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_212912]) ).
tcf(c_228606,plain,
! [X0: $i] :
( leq(zero,s(host(sK8)))
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_203667,c_212912]) ).
tcf(c_228611,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,s(host(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_212912]) ).
tcf(c_228633,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(s(X1))))
| ~ leq(s(s(s(host(X0)))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_212912]) ).
tcf(c_228660,plain,
! [X0: $i] :
( leq(zero,s(host(sK2)))
| leq(nbr_proc,s(s(s(host(X0)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_212912]) ).
tcf(c_228662,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ( host(sK2) = nbr_proc )
| ~ leq(s(s(host(sK2))),X0) ),
inference(superposition,[status(thm)],[c_204701,c_212912]) ).
tcf(c_228665,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(light_normalisation,[status(thm)],[c_228606,c_202443]) ).
tcf(c_228668,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(zero,X0)
| leq(X0,s(s(host(X1)))) ),
inference(light_normalisation,[status(thm)],[c_228604,c_202443]) ).
tcf(c_228669,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(host(X1)))) ),
inference(light_normalisation,[status(thm)],[c_228603,c_202443]) ).
tcf(c_228676,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| ( s(s(host(X0))) = nbr_proc )
| ~ leq(s(s(host(X0))),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_228605,c_202443]) ).
tcf(c_228691,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),s(X1))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_208833,c_213503]) ).
tcf(c_228692,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(zero,s(host(X1)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_219292,c_213503]) ).
tcf(c_228701,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(host(X1)))
| leq(s(zero),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208833,c_213503]) ).
tcf(c_228703,plain,
! [X0: $i] :
( leq(s(zero),s(host(sK8)))
| ( s(host(X0)) = nbr_proc )
| ~ leq(s(host(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_213503]) ).
tcf(c_228704,plain,
! [X0: $i] :
( leq(s(zero),s(host(sK8)))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_203667,c_213503]) ).
tcf(c_228731,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(s(X1))))
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_213503]) ).
tcf(c_228757,plain,
! [X0: $i] :
( leq(s(zero),s(host(sK2)))
| leq(nbr_proc,s(s(host(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_213503]) ).
tcf(c_228759,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ( host(sK2) = nbr_proc )
| ~ leq(s(host(sK2)),X0) ),
inference(superposition,[status(thm)],[c_204701,c_213503]) ).
tcf(c_228762,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(s(host(X0)))) ),
inference(light_normalisation,[status(thm)],[c_228704,c_202443]) ).
tcf(c_228765,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(host(X1))) ),
inference(light_normalisation,[status(thm)],[c_228701,c_202443]) ).
tcf(c_228772,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| ( s(host(X0)) = nbr_proc )
| ~ leq(s(host(X0)),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_228703,c_202443]) ).
tcf(c_228783,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),s(X0))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208833,c_213643]) ).
tcf(c_228793,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(nbr_proc)))
| leq(s(zero),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208833,c_213643]) ).
tcf(c_228795,plain,
( leq(s(zero),s(host(sK8)))
| ( s(s(nbr_proc)) = nbr_proc )
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_213643]) ).
tcf(c_228796,plain,
( leq(nbr_proc,s(s(s(nbr_proc))))
| leq(s(zero),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_203667,c_213643]) ).
tcf(c_228823,plain,
! [X0: $i] :
( leq(s(zero),s(s(s(X0))))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_213643]) ).
tcf(c_228825,plain,
! [X0: $i] :
( leq(s(zero),s(s(s(X0))))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_207159,c_213643]) ).
tcf(c_228850,plain,
( leq(nbr_proc,s(s(s(nbr_proc))))
| leq(s(zero),s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_213643]) ).
tcf(c_228851,plain,
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(light_normalisation,[status(thm)],[c_228796,c_202443]) ).
tcf(c_228856,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(light_normalisation,[status(thm)],[c_228793,c_202443]) ).
tcf(c_228857,plain,
( leq(s(zero),nbr_proc)
| ( s(s(nbr_proc)) = nbr_proc )
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_228795,c_202443]) ).
tcf(c_228872,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_222536,c_220294]) ).
tcf(c_228877,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_220294]) ).
tcf(c_228890,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X1,nbr_proc)
| leq(X2,X0)
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208818,c_220294]) ).
tcf(c_228893,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_220294]) ).
tcf(c_228927,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_223178,c_220294]) ).
tcf(c_229023,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(s(host(sK8))))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_206515,c_204714]) ).
tcf(c_229024,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| leq(X0,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_206515,c_202428]) ).
tcf(c_229025,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(s(X1)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206515,c_211410]) ).
tcf(c_229026,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,s(s(X2)))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_206515,c_209486]) ).
tcf(c_229027,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(s(X2)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206515,c_208821]) ).
tcf(c_229028,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(s(X1)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206515,c_205100]) ).
tcf(c_229031,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(X1)))
| ( s(s(X0)) = X1 )
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206515,c_109]) ).
tcf(c_229032,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,s(s(X2)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206515,c_106]) ).
tcf(c_229040,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(s(X0)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206515,c_204027]) ).
tcf(c_229041,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(s(X0)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206515,c_204001]) ).
tcf(c_229047,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(s(X0)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_206515,c_204463]) ).
tcf(c_229056,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(s(X0))))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_206515,c_210335]) ).
tcf(c_229057,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(X1)))
| leq(X1,s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206515,c_214621]) ).
tcf(c_229058,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_206515,c_214130]) ).
tcf(c_229060,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206515,c_203775]) ).
tcf(c_229061,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| leq(X0,s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206515,c_202063]) ).
tcf(c_229062,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206515,c_203787]) ).
tcf(c_229063,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| leq(X0,s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206515,c_202064]) ).
tcf(c_229064,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(X0)))
| leq(X0,s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_206515,c_202065]) ).
tcf(c_229070,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(X0)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_206515,c_204171]) ).
tcf(c_229074,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(nbr_proc)))))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206515,c_213643]) ).
tcf(c_229076,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(X0)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_206515,c_223104]) ).
tcf(c_229080,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_206515,c_210420]) ).
tcf(c_229081,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_206515,c_206606]) ).
tcf(c_229082,plain,
! [X0: $i] :
( leq(host(sK8),s(s(X0)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_206515,c_203410]) ).
tcf(c_229084,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_206515,c_203989]) ).
tcf(c_229085,plain,
! [X0: $i] :
( leq(X0,s(s(host(sK2))))
| leq(host(sK8),s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_206515,c_202057]) ).
tcf(c_229086,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(s(X0))))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_206515,c_213503]) ).
tcf(c_229090,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(s(X0))))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_206515,c_212912]) ).
tcf(c_229091,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(X0)))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_206515,c_206597]) ).
tcf(c_229093,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(s(s(s(host(X1))))))) ),
inference(superposition,[status(thm)],[c_206515,c_202069]) ).
tcf(c_229096,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(s(s(s(s(s(nbr_proc))))))))) ),
inference(superposition,[status(thm)],[c_206515,c_211870]) ).
tcf(c_229236,plain,
! [X0: $i] :
( leq(X0,s(host(sK2)))
| leq(s(zero),s(X0))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_206665]) ).
tcf(c_229241,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X2)
| leq(X2,s(s(X0)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206665,c_208821]) ).
tcf(c_229244,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X2)
| leq(X2,s(X0))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206665,c_202047]) ).
tcf(c_229245,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| ( s(X0) = s(zero) )
| ~ leq(s(X0),s(zero)) ),
inference(superposition,[status(thm)],[c_206665,c_109]) ).
tcf(c_229246,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X1)
| leq(X0,s(host(X2)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_206665,c_106]) ).
tcf(c_229253,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(s(zero),s(host(sK8)))
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_206665,c_204714]) ).
tcf(c_229256,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(s(zero),s(X2))
| leq(host(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_206665,c_209486]) ).
tcf(c_229257,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),s(X2))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_206665,c_208821]) ).
tcf(c_229261,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X1))
| ( s(host(X0)) = X1 )
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_206665,c_109]) ).
tcf(c_229262,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(s(zero),s(X2))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_206665,c_106]) ).
tcf(c_229263,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(X0))
| leq(s(zero),s(X1))
| ( s(host(X0)) = X1 ) ),
inference(superposition,[status(thm)],[c_206665,c_114]) ).
tcf(c_229286,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(host(X1))))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_206665,c_210335]) ).
tcf(c_229287,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(host(X1)))
| leq(s(zero),s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206665,c_214621]) ).
tcf(c_229288,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(X1)))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_206665,c_214130]) ).
tcf(c_229315,plain,
! [X0: $i] :
( leq(s(zero),s(host(sK2)))
| leq(host(sK8),s(host(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_206665,c_202057]) ).
tcf(c_229356,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(s(zero),nbr_proc)
| ~ leq(s(s(host(X0))),X1) ),
inference(light_normalisation,[status(thm)],[c_229253,c_202443]) ).
tcf(c_229454,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(host(sK8)))
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_206667,c_204714]) ).
tcf(c_229456,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_206667,c_211410]) ).
tcf(c_229457,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,s(X2))
| leq(host(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206667,c_209486]) ).
tcf(c_229458,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(X2))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_206667,c_208821]) ).
tcf(c_229459,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206667,c_205100]) ).
tcf(c_229462,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| ( s(s(s(X0))) = X1 )
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_206667,c_109]) ).
tcf(c_229463,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,s(X2))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_206667,c_106]) ).
tcf(c_229464,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,s(s(X0)))
| ( s(s(s(X0))) = X1 ) ),
inference(superposition,[status(thm)],[c_206667,c_114]) ).
tcf(c_229478,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,s(host(X2)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206667,c_204463]) ).
tcf(c_229487,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(s(s(X0)))))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_206667,c_210335]) ).
tcf(c_229488,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(s(X1))))
| leq(X1,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206667,c_214621]) ).
tcf(c_229489,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(s(s(X0))))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_206667,c_214130]) ).
tcf(c_229501,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206667,c_204171]) ).
tcf(c_229505,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_206667,c_213643]) ).
tcf(c_229511,plain,
! [X0: $i] :
( leq(zero,s(s(s(s(X0)))))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_206667,c_210420]) ).
tcf(c_229516,plain,
! [X0: $i] :
( leq(X0,s(host(sK2)))
| leq(host(sK8),s(s(s(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_206667,c_202057]) ).
tcf(c_229521,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(s(s(X0)))))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_206667,c_212912]) ).
tcf(c_229527,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| leq(X0,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_206667,c_211870]) ).
tcf(c_229601,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(host(sK8)))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_206899,c_204714]) ).
tcf(c_229605,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_206899,c_208821]) ).
tcf(c_229609,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ( s(s(s(nbr_proc))) = X0 )
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_206899,c_109]) ).
tcf(c_229610,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_206899,c_106]) ).
tcf(c_229619,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(X1)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_206899,c_204001]) ).
tcf(c_229625,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(host(X1)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_206899,c_204463]) ).
tcf(c_229636,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc))))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_206899,c_214130]) ).
tcf(c_229642,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_206899,c_202065]) ).
tcf(c_229663,plain,
( leq(zero,s(host(sK2)))
| leq(host(sK8),s(s(s(nbr_proc))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_206899,c_202057]) ).
tcf(c_229686,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X0)
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(light_normalisation,[status(thm)],[c_229601,c_202443]) ).
tcf(c_229703,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),X1)
| leq(nbr_proc,s(host(sK2)))
| leq(X1,s(host(sK8)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_208821]) ).
tcf(c_229706,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),X1)
| leq(nbr_proc,s(host(sK2)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_202047]) ).
tcf(c_229707,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(sK2)))
| ( host(X0) = host(sK8) )
| ~ elem(m_Ldr(X0),sK0)
| ~ leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_227606,c_109]) ).
tcf(c_229708,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| leq(nbr_proc,s(host(sK2)))
| ~ elem(m_Ldr(X1),sK0)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_227606,c_106]) ).
tcf(c_229710,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(sK2)))
| ( s(host(X0)) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0)
| ~ leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227606,c_208692]) ).
tcf(c_229712,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(host(sK2)))
| leq(s(host(X0)),X1)
| ~ leq(nbr_proc,X1)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_204891]) ).
tcf(c_229713,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(sK2)))
| leq(s(host(X0)),nbr_proc)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_202427]) ).
tcf(c_229716,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(host(sK2)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_204463]) ).
tcf(c_229717,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(sK2)))
| leq(zero,s(s(host(sK8))))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_207779]) ).
tcf(c_229718,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(sK2)))
| leq(s(zero),s(host(sK8)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_204994]) ).
tcf(c_229719,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(sK2)))
| leq(zero,s(host(sK8)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_204431]) ).
tcf(c_229720,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(sK2)))
| leq(s(zero),host(sK8))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_202051]) ).
tcf(c_229721,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(host(sK2)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_203764]) ).
tcf(c_229724,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(host(sK2)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(light_normalisation,[status(thm)],[c_229719,c_202443]) ).
tcf(c_229728,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(host(sK2)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(light_normalisation,[status(thm)],[c_229718,c_202443]) ).
tcf(c_229729,plain,
! [X0: $i] :
( leq(zero,s(nbr_proc))
| leq(nbr_proc,s(host(sK2)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(light_normalisation,[status(thm)],[c_229717,c_202443]) ).
tcf(c_229766,plain,
( ~ iPr_def_14
| ( sK10(sK6,sK8) = host(sK7) )
| leq(sK10(sK6,sK8),host(sK8))
| leq(host(sK8),sK10(sK6,sK8)) ),
inference(global_subsumption_just,[status(thm)],[c_227615,c_71745]) ).
tcf(c_229767,plain,
( leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),host(sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(renaming,[status(thm)],[c_229766]) ).
tcf(c_229768,plain,
( ~ iPr_def_14
| ( sK10(sK7,sK8) = host(sK7) )
| leq(sK10(sK7,sK8),host(sK8))
| leq(host(sK8),sK10(sK7,sK8)) ),
inference(global_subsumption_just,[status(thm)],[c_227616,c_71831]) ).
tcf(c_229769,plain,
( leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),host(sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(renaming,[status(thm)],[c_229768]) ).
tcf(c_229778,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(X0,s(X1))
| leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208841,c_208821]) ).
tcf(c_229781,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208841,c_202047]) ).
tcf(c_229782,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( sK10(sK6,sK8) = X0 )
| ~ iPr_def_12
| ~ leq(X0,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_208841,c_109]) ).
tcf(c_229783,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(sK10(sK6,sK8),X1)
| ~ iPr_def_12
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208841,c_106]) ).
tcf(c_229784,plain,
! [X0: $i] :
( leq(s(X0),host(sK8))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208841,c_114]) ).
tcf(c_229790,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208841,c_203775]) ).
tcf(c_229791,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),X0)
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208841,c_202063]) ).
tcf(c_229792,plain,
( leq(s(zero),host(sK8))
| ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208841,c_202347]) ).
tcf(c_229869,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(X0,s(X1))
| leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208842,c_208821]) ).
tcf(c_229872,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208842,c_202047]) ).
tcf(c_229873,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( sK10(sK7,sK8) = X0 )
| ~ iPr_def_12
| ~ leq(X0,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_208842,c_109]) ).
tcf(c_229874,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(sK10(sK7,sK8),X1)
| ~ iPr_def_12
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208842,c_106]) ).
tcf(c_229875,plain,
! [X0: $i] :
( leq(s(X0),host(sK8))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208842,c_114]) ).
tcf(c_229883,plain,
( leq(s(zero),host(sK8))
| ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208842,c_202348]) ).
tcf(c_229922,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(host(sK8),host(sK8)) ),
inference(superposition,[status(thm)],[c_202443,c_208855]) ).
tcf(c_229924,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X2)
| leq(s(X2),nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208855,c_209486]) ).
tcf(c_229925,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(host(sK8),X0)
| leq(X1,s(X2))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208855,c_208821]) ).
tcf(c_229928,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(host(sK8),X0)
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208855,c_202047]) ).
tcf(c_229929,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X1)
| ( s(X1) = X0 )
| ~ leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208855,c_109]) ).
tcf(c_229930,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X2)
| leq(s(X2),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208855,c_106]) ).
tcf(c_229931,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(s(X0),nbr_proc)
| leq(s(X1),X0)
| ( s(X0) = s(X1) ) ),
inference(superposition,[status(thm)],[c_208855,c_114]) ).
tcf(c_229934,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(host(sK8),X0)
| ( s(s(X0)) = nbr_proc )
| ~ leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208855,c_208692]) ).
tcf(c_229935,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(host(sK8),X0)
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208855,c_208342]) ).
tcf(c_229936,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),nbr_proc)
| leq(host(sK8),X1)
| leq(s(s(X1)),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208855,c_204891]) ).
tcf(c_229937,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(host(sK8),X0)
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_208855,c_202427]) ).
tcf(c_229942,plain,
( leq(host(sK8),zero)
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_208855,c_201931]) ).
tcf(c_229943,plain,
( leq(host(sK8),zero)
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_208855,c_201932]) ).
tcf(c_229950,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208855,c_206704]) ).
tcf(c_229954,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208855,c_214130]) ).
tcf(c_229960,plain,
( leq(host(sK8),nbr_proc)
| leq(host(sK8),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208855,c_202435]) ).
tcf(c_229962,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208855,c_223710]) ).
tcf(c_229964,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208855,c_205039]) ).
tcf(c_229967,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(nbr_proc))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208855,c_213643]) ).
tcf(c_229968,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208855,c_211309]) ).
tcf(c_229975,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X0)
| leq(host(sK8),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208855,c_203410]) ).
tcf(c_229988,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(X0,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208855,c_214522]) ).
tcf(c_229989,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208855,c_204770]) ).
tcf(c_229991,plain,
( leq(host(sK8),nbr_proc)
| leq(host(sK8),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208855,c_204982]) ).
tcf(c_229992,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208855,c_211870]) ).
tcf(c_229993,plain,
( leq(host(sK8),nbr_proc)
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208855,c_213049]) ).
tcf(c_230086,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(nbr_proc,X0)
| leq(X1,s(host(sK8)))
| ~ leq(s(host(sK8)),X0) ),
inference(superposition,[status(thm)],[c_208856,c_204714]) ).
tcf(c_230087,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(host(sK8)))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208856,c_202428]) ).
tcf(c_230089,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X2,nbr_proc)
| leq(X1,s(X2))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_208856,c_209486]) ).
tcf(c_230090,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X2,X0)
| leq(X1,s(X2))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208856,c_208821]) ).
tcf(c_230092,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(zero,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208856,c_203571]) ).
tcf(c_230094,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(X0))
| ( host(sK8) = X0 )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208856,c_109]) ).
tcf(c_230095,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X2,X0)
| leq(X1,s(X2))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208856,c_106]) ).
tcf(c_230096,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_208856,c_117]) ).
tcf(c_230098,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208856,c_208692]) ).
tcf(c_230099,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208856,c_208342]) ).
tcf(c_230100,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X2,s(X1))
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208856,c_204891]) ).
tcf(c_230101,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(s(X1),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208856,c_202427]) ).
tcf(c_230102,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208856,c_202437]) ).
tcf(c_230103,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(host(sK8))))) ),
inference(superposition,[status(thm)],[c_208856,c_201589]) ).
tcf(c_230104,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(s(host(sK8)))))) ),
inference(superposition,[status(thm)],[c_208856,c_201594]) ).
tcf(c_230105,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(s(s(host(sK8))))))) ),
inference(superposition,[status(thm)],[c_208856,c_201708]) ).
tcf(c_230106,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(s(s(s(host(sK8)))))))) ),
inference(superposition,[status(thm)],[c_208856,c_201873]) ).
tcf(c_230107,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(zero,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_204027]) ).
tcf(c_230109,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(host(sK8)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_203735]) ).
tcf(c_230112,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(nbr_proc))
| leq(X0,host(sK8))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208856,c_218832]) ).
tcf(c_230113,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,X1)
| leq(X1,host(sK8))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208856,c_203574]) ).
tcf(c_230114,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208856,c_202466]) ).
tcf(c_230115,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(zero,X2)
| leq(X2,host(sK8))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_204463]) ).
tcf(c_230116,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(host(X1)))
| leq(zero,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_208856,c_207779]) ).
tcf(c_230117,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(host(X1)))
| leq(s(zero),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208856,c_204994]) ).
tcf(c_230118,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(host(sK8)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_204431]) ).
tcf(c_230119,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_202051]) ).
tcf(c_230120,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_203764]) ).
tcf(c_230121,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(host(sK8)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208856,c_206377]) ).
tcf(c_230122,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208856,c_206704]) ).
tcf(c_230124,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(host(sK8)))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208856,c_210335]) ).
tcf(c_230125,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(nbr_proc,host(sK8))
| leq(X1,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208856,c_214621]) ).
tcf(c_230126,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208856,c_214130]) ).
tcf(c_230128,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208856,c_203775]) ).
tcf(c_230129,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208856,c_202063]) ).
tcf(c_230130,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208856,c_203787]) ).
tcf(c_230131,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208856,c_202064]) ).
tcf(c_230132,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(sK8))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_208856,c_202065]) ).
tcf(c_230133,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(nbr_proc))
| ( host(sK8) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_208856,c_202336]) ).
tcf(c_230134,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(nbr_proc))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_208856,c_203951]) ).
tcf(c_230136,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208856,c_202432]) ).
tcf(c_230137,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208856,c_202435]) ).
tcf(c_230139,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(s(nbr_proc)))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_208856,c_223710]) ).
tcf(c_230140,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,X1)
| leq(X1,host(sK8))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208856,c_204171]) ).
tcf(c_230141,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208856,c_205039]) ).
tcf(c_230142,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(host(sK8)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208856,c_203974]) ).
tcf(c_230143,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208856,c_202066]) ).
tcf(c_230144,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),s(host(sK8)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208856,c_213643]) ).
tcf(c_230145,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),s(host(sK8)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208856,c_211309]) ).
tcf(c_230146,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(host(X1),host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208856,c_223104]) ).
tcf(c_230147,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(host(sK8)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208856,c_206889]) ).
tcf(c_230148,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208856,c_205087]) ).
tcf(c_230149,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208856,c_202067]) ).
tcf(c_230150,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(host(sK8)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208856,c_210420]) ).
tcf(c_230151,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208856,c_206606]) ).
tcf(c_230152,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),host(sK8))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208856,c_203410]) ).
tcf(c_230153,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208856,c_202068]) ).
tcf(c_230154,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208856,c_203989]) ).
tcf(c_230155,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),host(sK8))
| leq(X0,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208856,c_202057]) ).
tcf(c_230156,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),s(host(sK8)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208856,c_213503]) ).
tcf(c_230157,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(host(sK8)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208856,c_207823]) ).
tcf(c_230158,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208856,c_205062]) ).
tcf(c_230159,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208856,c_204492]) ).
tcf(c_230160,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(host(sK8)))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208856,c_212912]) ).
tcf(c_230161,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208856,c_206597]) ).
tcf(c_230162,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208856,c_204502]) ).
tcf(c_230163,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_208856,c_202069]) ).
tcf(c_230164,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_214522]) ).
tcf(c_230165,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,host(sK8))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208856,c_204770]) ).
tcf(c_230166,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(s(s(s(s(host(sK8))))))))) ),
inference(superposition,[status(thm)],[c_208856,c_204971]) ).
tcf(c_230168,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,host(sK8))
| leq(X0,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_208856,c_211870]) ).
tcf(c_230171,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(nbr_proc,host(sK8))
| leq(X0,host(sK8))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_208856,c_204714]) ).
tcf(c_230173,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,nbr_proc)
| leq(X0,host(sK8))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208856,c_211410]) ).
tcf(c_230174,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X2,nbr_proc)
| leq(X1,host(sK8))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208856,c_209486]) ).
tcf(c_230175,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X2,X0)
| leq(X1,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_208821]) ).
tcf(c_230176,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,nbr_proc)
| leq(X0,host(sK8))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208856,c_205100]) ).
tcf(c_230177,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208856,c_203571]) ).
tcf(c_230178,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X2,X0)
| leq(X1,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208856,c_202047]) ).
tcf(c_230179,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,host(sK8))
| ( s(X0) = X1 )
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208856,c_109]) ).
tcf(c_230180,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X2,X1)
| leq(X0,host(sK8))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208856,c_106]) ).
tcf(c_230181,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,X0)
| leq(X0,host(sK8))
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_208856,c_114]) ).
tcf(c_230195,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(X2))
| leq(X1,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208856,c_204463]) ).
tcf(c_230198,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X1))
| leq(X0,host(sK8))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208856,c_204431]) ).
tcf(c_230199,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X1))
| leq(X0,host(sK8))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208856,c_202051]) ).
tcf(c_230200,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X1))
| leq(zero,s(X0))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208856,c_203764]) ).
tcf(c_230201,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_206377]) ).
tcf(c_230202,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208856,c_206704]) ).
tcf(c_230204,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(X0,s(s(X1)))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208856,c_210335]) ).
tcf(c_230206,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208856,c_214130]) ).
tcf(c_230208,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK8))
| leq(nbr_proc,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208856,c_203775]) ).
tcf(c_230209,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,sK10(sK6,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208856,c_202063]) ).
tcf(c_230210,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK8))
| leq(nbr_proc,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208856,c_203787]) ).
tcf(c_230211,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,sK10(sK7,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208856,c_202064]) ).
tcf(c_230213,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,sK10(sK6,sK8))
| ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208856,c_202347]) ).
tcf(c_230214,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,sK10(sK7,sK8))
| ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208856,c_202348]) ).
tcf(c_230217,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK8))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208856,c_207255]) ).
tcf(c_230220,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(X1,host(sK8))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208856,c_223710]) ).
tcf(c_230221,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X1,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208856,c_204171]) ).
tcf(c_230222,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208856,c_205039]) ).
tcf(c_230223,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208856,c_203974]) ).
tcf(c_230224,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(zero,s(X0))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208856,c_202066]) ).
tcf(c_230225,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208856,c_213643]) ).
tcf(c_230226,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208856,c_211309]) ).
tcf(c_230227,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208856,c_223104]) ).
tcf(c_230228,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208856,c_206889]) ).
tcf(c_230229,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208856,c_205087]) ).
tcf(c_230231,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(zero,s(s(X0)))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208856,c_210420]) ).
tcf(c_230236,plain,
! [X0: $i] :
( leq(nbr_proc,host(sK2))
| leq(X0,host(sK8))
| leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208856,c_202057]) ).
tcf(c_230237,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(host(X1)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208856,c_213503]) ).
tcf(c_230241,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(zero,s(s(X1)))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_208856,c_212912]) ).
tcf(c_230281,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X0)
| leq(X0,s(s(nbr_proc))) ),
inference(light_normalisation,[status(thm)],[c_230142,c_202443]) ).
tcf(c_230285,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X0)
| leq(X0,s(host(X1))) ),
inference(light_normalisation,[status(thm)],[c_230118,c_202443]) ).
tcf(c_230288,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,X0)
| leq(X0,nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_230087,c_202443]) ).
tcf(c_230301,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X0)
| leq(X0,s(s(host(X1)))) ),
inference(light_normalisation,[status(thm)],[c_230157,c_202443]) ).
tcf(c_230302,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X0)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(light_normalisation,[status(thm)],[c_230147,c_202443]) ).
tcf(c_230307,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),nbr_proc)
| leq(X0,s(host(X1))) ),
inference(light_normalisation,[status(thm)],[c_230117,c_202443]) ).
tcf(c_230308,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(nbr_proc))
| leq(X0,s(host(X1))) ),
inference(light_normalisation,[status(thm)],[c_230116,c_202443]) ).
tcf(c_230358,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X0)
| leq(X0,s(s(s(host(X1))))) ),
inference(light_normalisation,[status(thm)],[c_230160,c_202443]) ).
tcf(c_230359,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),nbr_proc)
| leq(X0,s(s(host(X1)))) ),
inference(light_normalisation,[status(thm)],[c_230156,c_202443]) ).
tcf(c_230360,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X0)
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(light_normalisation,[status(thm)],[c_230150,c_202443]) ).
tcf(c_230361,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),nbr_proc)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(light_normalisation,[status(thm)],[c_230145,c_202443]) ).
tcf(c_230362,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),nbr_proc)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(light_normalisation,[status(thm)],[c_230144,c_202443]) ).
tcf(c_230475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),
inference(superposition,[status(thm)],[c_228568,c_135]) ).
tcf(c_230476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26) != q_nil,
inference(superposition,[status(thm)],[c_228568,c_137]) ).
tcf(c_230477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26)),
inference(superposition,[status(thm)],[c_228568,c_101]) ).
tcf(c_230478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27)) ),
inference(superposition,[status(thm)],[c_228568,c_102]) ).
tcf(c_230479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27)) ),
inference(superposition,[status(thm)],[c_228568,c_103]) ).
tcf(c_230480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X0)),
inference(superposition,[status(thm)],[c_228568,c_203176]) ).
tcf(c_230481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X0))),
inference(superposition,[status(thm)],[c_228568,c_203596]) ).
tcf(c_230482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X0)))),
inference(superposition,[status(thm)],[c_228568,c_207142]) ).
tcf(c_230488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( elem(X0,cons(X2,cons(X3,cons(X0,q_nil))))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_222185,c_103]) ).
tcf(c_230499,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),X1)
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208833,c_223145]) ).
tcf(c_230502,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),s(X1))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208856,c_223145]) ).
tcf(c_230506,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(X0))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_113,c_223145]) ).
tcf(c_230510,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(host(X1),host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208833,c_223145]) ).
tcf(c_230511,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_219292,c_223145]) ).
tcf(c_230512,plain,
! [X0: $i] :
( leq(host(X0),host(sK8))
| ( s(s(s(nbr_proc))) = nbr_proc )
| ~ leq(s(s(s(nbr_proc))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_223145]) ).
tcf(c_230513,plain,
! [X0: $i] :
( leq(host(X0),host(sK8))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_203667,c_223145]) ).
tcf(c_230519,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(host(X1),host(sK8))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208856,c_223145]) ).
tcf(c_230521,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(X0))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204008,c_223145]) ).
tcf(c_230542,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc))))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_208024,c_223145]) ).
tcf(c_230543,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(X0)))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_223145]) ).
tcf(c_230556,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(host(X1),nbr_proc)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_222536,c_223145]) ).
tcf(c_230557,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),nbr_proc)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208857,c_223145]) ).
tcf(c_230560,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(X0)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_206515,c_223145]) ).
tcf(c_230561,plain,
! [X0: $i] : leq(host(X0),s(s(s(s(s(s(s(s(s(s(nbr_proc))))))))))),
inference(superposition,[status(thm)],[c_206387,c_223145]) ).
tcf(c_230563,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(s(s(nbr_proc)))))
| leq(host(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206667,c_223145]) ).
tcf(c_230572,plain,
! [X0: $i] :
( leq(host(X0),host(sK2))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_223145]) ).
tcf(c_230671,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_224023]) ).
tcf(c_230679,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(s(nbr_proc)))
| leq(host(X0),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208833,c_224023]) ).
tcf(c_230680,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(nbr_proc)))
| leq(host(X0),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_219292,c_224023]) ).
tcf(c_230681,plain,
! [X0: $i] :
( leq(host(X0),s(host(sK8)))
| ( s(s(nbr_proc)) = nbr_proc )
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_224023]) ).
tcf(c_230682,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(nbr_proc))))
| leq(host(X0),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_203667,c_224023]) ).
tcf(c_230686,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),s(nbr_proc))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208855,c_224023]) ).
tcf(c_230688,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(s(s(nbr_proc))))
| leq(host(X0),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208856,c_224023]) ).
tcf(c_230712,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(X0))))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_224023]) ).
tcf(c_230714,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(X0))))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_207159,c_224023]) ).
tcf(c_230732,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(s(nbr_proc))))
| leq(host(X0),s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_206667,c_224023]) ).
tcf(c_230741,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(nbr_proc))))
| leq(host(X0),s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_224023]) ).
tcf(c_230742,plain,
! [X0: $i] :
( leq(host(X0),nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(light_normalisation,[status(thm)],[c_230682,c_202443]) ).
tcf(c_230750,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(host(X1),nbr_proc)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(light_normalisation,[status(thm)],[c_230688,c_202443]) ).
tcf(c_230752,plain,
! [X0: $i] :
( leq(host(X0),nbr_proc)
| ( s(s(nbr_proc)) = nbr_proc )
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_230681,c_202443]) ).
tcf(c_230760,plain,
( ( s(s(s(s(s(s(s(nbr_proc))))))) = zero )
| ~ leq(s(s(s(s(s(s(s(nbr_proc))))))),zero) ),
inference(superposition,[status(thm)],[c_206900,c_109]) ).
tcf(c_230761,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ leq(s(s(s(s(s(s(s(nbr_proc))))))),X0) ),
inference(superposition,[status(thm)],[c_206900,c_106]) ).
tcf(c_230778,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| ( s(s(X0)) = zero )
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_206907,c_109]) ).
tcf(c_230779,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,s(s(nbr_proc)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206907,c_106]) ).
tcf(c_230781,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(s(host(sK8))))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_206907,c_204714]) ).
tcf(c_230782,plain,
( leq(nbr_proc,s(s(s(nbr_proc))))
| leq(zero,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_206907,c_202428]) ).
tcf(c_230789,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ( s(s(nbr_proc)) = X0 )
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_206907,c_109]) ).
tcf(c_230790,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(X1)))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_206907,c_106]) ).
tcf(c_230799,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(nbr_proc)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206907,c_204001]) ).
tcf(c_230816,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_206907,c_214130]) ).
tcf(c_230822,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(zero,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_206907,c_202065]) ).
tcf(c_230843,plain,
( leq(zero,s(s(host(sK2))))
| leq(host(sK8),s(s(nbr_proc)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_206907,c_202057]) ).
tcf(c_230855,plain,
( leq(zero,s(nbr_proc))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(light_normalisation,[status(thm)],[c_230782,c_202443]) ).
tcf(c_230867,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(nbr_proc))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(light_normalisation,[status(thm)],[c_230781,c_202443]) ).
tcf(c_230890,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),s(host(sK8)))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_206984,c_204714]) ).
tcf(c_230898,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| ( s(s(nbr_proc)) = X0 )
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_206984,c_109]) ).
tcf(c_230899,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(X1))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_206984,c_106]) ).
tcf(c_230900,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(X0))
| ( s(s(nbr_proc)) = X0 ) ),
inference(superposition,[status(thm)],[c_206984,c_114]) ).
tcf(c_230908,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(nbr_proc)))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206984,c_204001]) ).
tcf(c_230911,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206984,c_218832]) ).
tcf(c_230914,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(nbr_proc)))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_206984,c_204463]) ).
tcf(c_230924,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(nbr_proc)))
| leq(host(sK8),s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206984,c_214621]) ).
tcf(c_230925,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_206984,c_214130]) ).
tcf(c_230931,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(host(sK8),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_206984,c_202065]) ).
tcf(c_230971,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206984,c_202047]) ).
tcf(c_230972,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| ( s(X0) = host(sK8) )
| ~ leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_206984,c_109]) ).
tcf(c_230973,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X0,s(s(nbr_proc)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_206984,c_106]) ).
tcf(c_230974,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(s(nbr_proc)))
| ( s(X0) = host(sK8) ) ),
inference(superposition,[status(thm)],[c_206984,c_114]) ).
tcf(c_231004,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),nbr_proc)
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(light_normalisation,[status(thm)],[c_230890,c_202443]) ).
tcf(c_231026,plain,
( ( s(s(s(s(s(s(nbr_proc)))))) = host(sK8) )
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),host(sK8)) ),
inference(superposition,[status(thm)],[c_206985,c_109]) ).
tcf(c_231027,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),X0) ),
inference(superposition,[status(thm)],[c_206985,c_106]) ).
tcf(c_231028,plain,
( leq(host(sK8),s(s(s(s(s(nbr_proc))))))
| ( s(s(s(s(s(s(nbr_proc)))))) = host(sK8) ) ),
inference(superposition,[status(thm)],[c_206985,c_114]) ).
tcf(c_231055,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc) ),
inference(superposition,[status(thm)],[c_202443,c_230102]) ).
tcf(c_231056,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(nbr_proc,host(sK8))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_230102,c_204714]) ).
tcf(c_231057,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_230102,c_202428]) ).
tcf(c_231063,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X1,nbr_proc)
| leq(X2,X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_230102,c_202047]) ).
tcf(c_231064,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| ( s(X0) = X1 )
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_230102,c_109]) ).
tcf(c_231065,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X0,nbr_proc)
| leq(X2,X1)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_230102,c_106]) ).
tcf(c_231066,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,X0)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_230102,c_114]) ).
tcf(c_231080,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,host(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_230102,c_204463]) ).
tcf(c_231084,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(X1))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_230102,c_202051]) ).
tcf(c_231087,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_230102,c_206704]) ).
tcf(c_231094,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK6,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_230102,c_202063]) ).
tcf(c_231096,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK7,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_230102,c_202064]) ).
tcf(c_231105,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_230102,c_223710]) ).
tcf(c_231121,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(sK2))
| leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_230102,c_202057]) ).
tcf(c_231130,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_230102,c_204770]) ).
tcf(c_231193,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,host(sK8))
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_230136,c_204714]) ).
tcf(c_231194,plain,
( leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_230136,c_202428]) ).
tcf(c_231200,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,X0)
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_230136,c_202047]) ).
tcf(c_231201,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ( s(s(s(s(nbr_proc)))) = X0 )
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_230136,c_109]) ).
tcf(c_231202,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,X0)
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_230136,c_106]) ).
tcf(c_231203,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(nbr_proc))))
| ( s(s(s(s(nbr_proc)))) = X0 ) ),
inference(superposition,[status(thm)],[c_230136,c_114]) ).
tcf(c_231217,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(X1))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_230136,c_204463]) ).
tcf(c_231224,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_230136,c_206704]) ).
tcf(c_231227,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_230136,c_214621]) ).
tcf(c_231238,plain,
( leq(nbr_proc,nbr_proc)
| leq(host(sK8),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_230136,c_202431]) ).
tcf(c_231255,plain,
( leq(nbr_proc,host(sK2))
| leq(host(sK8),s(s(s(s(nbr_proc)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_230136,c_202057]) ).
tcf(c_231264,plain,
( leq(nbr_proc,s(s(s(s(nbr_proc)))))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_230136,c_204770]) ).
tcf(c_231309,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(nbr_proc))
| leq(host(sK8),host(sK8))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208882,c_204714]) ).
tcf(c_231311,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208882,c_211410]) ).
tcf(c_231312,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(host(sK8),X2)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208882,c_209486]) ).
tcf(c_231313,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(nbr_proc))
| leq(host(sK8),X2)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208882,c_208821]) ).
tcf(c_231314,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208882,c_205100]) ).
tcf(c_231317,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208882,c_109]) ).
tcf(c_231318,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,s(nbr_proc))
| leq(host(sK8),X2)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208882,c_106]) ).
tcf(c_231319,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| leq(s(X0),s(nbr_proc))
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_208882,c_114]) ).
tcf(c_231320,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(X1))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208882,c_115]) ).
tcf(c_231323,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(host(sK8),s(nbr_proc))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_208692]) ).
tcf(c_231325,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(s(X1),X0)
| leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208882,c_204891]) ).
tcf(c_231327,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X0)
| leq(host(sK8),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208882,c_202437]) ).
tcf(c_231333,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208882,c_201873]) ).
tcf(c_231336,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_204027]) ).
tcf(c_231337,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_204001]) ).
tcf(c_231338,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_203735]) ).
tcf(c_231341,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(host(sK8),nbr_proc)
| leq(X1,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208882,c_218832]) ).
tcf(c_231344,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_204463]) ).
tcf(c_231345,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(zero,s(s(X1)))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_207779]) ).
tcf(c_231346,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),s(X1))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_204994]) ).
tcf(c_231347,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_204431]) ).
tcf(c_231348,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_202051]) ).
tcf(c_231350,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208882,c_206377]) ).
tcf(c_231351,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208882,c_206704]) ).
tcf(c_231352,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208882,c_202059]) ).
tcf(c_231353,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208882,c_210335]) ).
tcf(c_231354,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208882,c_214621]) ).
tcf(c_231355,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208882,c_214130]) ).
tcf(c_231356,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208882,c_202061]) ).
tcf(c_231361,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208882,c_202065]) ).
tcf(c_231369,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208882,c_208639]) ).
tcf(c_231370,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_202430]) ).
tcf(c_231371,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208882,c_220294]) ).
tcf(c_231373,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208882,c_203915]) ).
tcf(c_231375,plain,
( leq(host(sK8),s(nbr_proc))
| leq(host(sK8),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208882,c_202432]) ).
tcf(c_231376,plain,
( leq(host(sK8),s(nbr_proc))
| leq(host(sK8),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208882,c_202435]) ).
tcf(c_231400,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),s(X1))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_208882,c_213503]) ).
tcf(c_231401,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_208882,c_207823]) ).
tcf(c_231402,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_208882,c_205062]) ).
tcf(c_231403,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_208882,c_204492]) ).
tcf(c_231404,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_208882,c_212912]) ).
tcf(c_231405,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| leq(host(sK8),s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_208882,c_206597]) ).
tcf(c_231406,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_208882,c_204502]) ).
tcf(c_231407,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_208882,c_202069]) ).
tcf(c_231408,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_214522]) ).
tcf(c_231409,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(nbr_proc))
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208882,c_204770]) ).
tcf(c_231410,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_208882,c_204971]) ).
tcf(c_231411,plain,
( leq(host(sK8),s(nbr_proc))
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208882,c_204982]) ).
tcf(c_231413,plain,
( leq(host(sK8),s(nbr_proc))
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208882,c_213049]) ).
tcf(c_231415,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(sK8))
| leq(host(sK8),X1)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_208882,c_204714]) ).
tcf(c_231416,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),X0)
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208882,c_202428]) ).
tcf(c_231419,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(host(sK8),X1)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208882,c_208821]) ).
tcf(c_231423,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| ( s(nbr_proc) = X0 )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_208882,c_109]) ).
tcf(c_231424,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(host(sK8),X1)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_208882,c_106]) ).
tcf(c_231425,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,X0)
| leq(host(sK8),X1)
| ( s(nbr_proc) = X0 ) ),
inference(superposition,[status(thm)],[c_208882,c_114]) ).
tcf(c_231437,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208882,c_203574]) ).
tcf(c_231439,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208882,c_204463]) ).
tcf(c_231446,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208882,c_206704]) ).
tcf(c_231448,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208882,c_210335]) ).
tcf(c_231450,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208882,c_214130]) ).
tcf(c_231456,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208882,c_202065]) ).
tcf(c_231460,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208882,c_202431]) ).
tcf(c_231462,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208882,c_204171]) ).
tcf(c_231472,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(host(X1),s(nbr_proc))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208882,c_223145]) ).
tcf(c_231477,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(host(sK8),X0)
| leq(host(sK8),s(nbr_proc))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208882,c_202057]) ).
tcf(c_231489,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X0,X2)
| leq(X2,s(nbr_proc))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208882,c_204714]) ).
tcf(c_231491,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(zero,s(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208882,c_211410]) ).
tcf(c_231492,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(host(sK8),nbr_proc)
| leq(X2,s(nbr_proc))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208882,c_209486]) ).
tcf(c_231493,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208882,c_208821]) ).
tcf(c_231494,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(host(sK8),nbr_proc)
| leq(X1,s(nbr_proc))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208882,c_205100]) ).
tcf(c_231495,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208882,c_203571]) ).
tcf(c_231496,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(X1,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208882,c_202047]) ).
tcf(c_231497,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| ( host(sK8) = X0 )
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208882,c_109]) ).
tcf(c_231498,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,s(nbr_proc))
| leq(host(sK8),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208882,c_106]) ).
tcf(c_231501,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X0)
| leq(host(sK8),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208882,c_208342]) ).
tcf(c_231502,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X1)
| leq(s(host(sK8)),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208882,c_204891]) ).
tcf(c_231503,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X0)
| leq(s(host(sK8)),nbr_proc) ),
inference(superposition,[status(thm)],[c_208882,c_202427]) ).
tcf(c_231517,plain,
( leq(s(nbr_proc),s(nbr_proc))
| leq(host(sK8),s(nbr_proc)) ),
inference(equality_factoring,[status(thm)],[c_208882]) ).
tcf(c_231519,plain,
( leq(host(sK8),s(nbr_proc))
| leq(host(sK8),host(sK8)) ),
inference(equality_factoring,[status(thm)],[c_208882]) ).
tcf(c_231520,plain,
( leq(s(nbr_proc),host(sK8))
| leq(host(sK8),s(nbr_proc)) ),
inference(equality_factoring,[status(thm)],[c_208882]) ).
tcf(c_231521,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(light_normalisation,[status(thm)],[c_231503,c_202443]) ).
tcf(c_231864,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| ~ iPr_def_11
| ~ leq(s(s(sK10(sK6,sK8))),X0) ),
inference(superposition,[status(thm)],[c_208890,c_204714]) ).
tcf(c_231865,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_202428]) ).
tcf(c_231867,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(host(X0),s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_209486]) ).
tcf(c_231868,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_208821]) ).
tcf(c_231872,plain,
! [X0: $i] :
( leq(zero,X0)
| ( s(sK10(sK6,sK8)) = X0 )
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),X0) ),
inference(superposition,[status(thm)],[c_208890,c_109]) ).
tcf(c_231873,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),X0) ),
inference(superposition,[status(thm)],[c_208890,c_106]) ).
tcf(c_231874,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,sK10(sK6,sK8))
| ( s(sK10(sK6,sK8)) = X0 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_114]) ).
tcf(c_231882,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_204001]) ).
tcf(c_231883,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_203735]) ).
tcf(c_231888,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_204463]) ).
tcf(c_231897,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| leq(X0,s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_210335]) ).
tcf(c_231898,plain,
! [X0: $i] :
( leq(nbr_proc,s(sK10(sK6,sK8)))
| leq(zero,s(s(s(X0))))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208890,c_214621]) ).
tcf(c_231899,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(sK10(sK6,sK8)))
| leq(zero,s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_214130]) ).
tcf(c_231905,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK6,sK8)))
| leq(zero,s(s(s(s(X0)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_202065]) ).
tcf(c_231926,plain,
( leq(zero,host(sK2))
| leq(host(sK8),s(sK10(sK6,sK8)))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_202057]) ).
tcf(c_232010,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| ~ iPr_def_11
| ~ leq(s(s(sK10(sK7,sK8))),X0) ),
inference(superposition,[status(thm)],[c_208891,c_204714]) ).
tcf(c_232011,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_202428]) ).
tcf(c_232013,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(host(X0),s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_209486]) ).
tcf(c_232014,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_208821]) ).
tcf(c_232018,plain,
! [X0: $i] :
( leq(zero,X0)
| ( s(sK10(sK7,sK8)) = X0 )
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),X0) ),
inference(superposition,[status(thm)],[c_208891,c_109]) ).
tcf(c_232019,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),X0) ),
inference(superposition,[status(thm)],[c_208891,c_106]) ).
tcf(c_232020,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,sK10(sK7,sK8))
| ( s(sK10(sK7,sK8)) = X0 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_114]) ).
tcf(c_232028,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_204001]) ).
tcf(c_232029,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_203735]) ).
tcf(c_232034,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_204463]) ).
tcf(c_232043,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| leq(X0,s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_210335]) ).
tcf(c_232044,plain,
! [X0: $i] :
( leq(nbr_proc,s(sK10(sK7,sK8)))
| leq(zero,s(s(s(X0))))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208891,c_214621]) ).
tcf(c_232045,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(sK10(sK7,sK8)))
| leq(zero,s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_214130]) ).
tcf(c_232051,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK7,sK8)))
| leq(zero,s(s(s(s(X0)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_202065]) ).
tcf(c_232072,plain,
( leq(zero,host(sK2))
| leq(host(sK8),s(sK10(sK7,sK8)))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_202057]) ).
tcf(c_232167,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(s(X0),nbr_proc)
| leq(host(sK8),host(sK8))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_209669,c_204714]) ).
tcf(c_232169,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(host(sK8),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_211410]) ).
tcf(c_232170,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(host(sK8),X2)
| leq(s(X1),nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209669,c_209486]) ).
tcf(c_232171,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(sK8),X2)
| leq(s(X1),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_209669,c_208821]) ).
tcf(c_232172,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X0)
| leq(host(sK8),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_205100]) ).
tcf(c_232173,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(host(sK8),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_203571]) ).
tcf(c_232175,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(s(X0),nbr_proc)
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_209669,c_109]) ).
tcf(c_232176,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(host(sK8),X2)
| leq(s(X0),nbr_proc)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_209669,c_106]) ).
tcf(c_232177,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| leq(s(s(X0)),nbr_proc)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_209669,c_114]) ).
tcf(c_232178,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(X1))
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_115]) ).
tcf(c_232179,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_117]) ).
tcf(c_232180,plain,
! [X0: $i] :
( leq(host(sK8),host(sK2))
| leq(s(host(X0)),nbr_proc)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_209669,c_203633]) ).
tcf(c_232181,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(s(host(sK8)),nbr_proc)
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_208692]) ).
tcf(c_232183,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(s(X1),X0)
| leq(s(host(sK8)),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_209669,c_204891]) ).
tcf(c_232185,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X0)
| leq(s(host(sK8)),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_202437]) ).
tcf(c_232186,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_209669,c_201589]) ).
tcf(c_232187,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_209669,c_201594]) ).
tcf(c_232188,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_209669,c_201708]) ).
tcf(c_232191,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(host(sK8),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_209669,c_201873]) ).
tcf(c_232194,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_204027]) ).
tcf(c_232195,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_204001]) ).
tcf(c_232196,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_203735]) ).
tcf(c_232198,plain,
( leq(host(sK8),host(sK2))
| leq(s(host(sK8)),nbr_proc)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_209669,c_202410]) ).
tcf(c_232199,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(host(sK8),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_218832]) ).
tcf(c_232202,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_204463]) ).
tcf(c_232203,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(zero,s(s(X1)))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_207779]) ).
tcf(c_232204,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(s(zero),s(X1))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_204994]) ).
tcf(c_232205,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(s(X1),nbr_proc)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_204431]) ).
tcf(c_232206,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_202051]) ).
tcf(c_232208,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_209669,c_206377]) ).
tcf(c_232209,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_209669,c_206704]) ).
tcf(c_232210,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_209669,c_202059]) ).
tcf(c_232211,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_209669,c_210335]) ).
tcf(c_232212,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_209669,c_214621]) ).
tcf(c_232213,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_209669,c_214130]) ).
tcf(c_232214,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_209669,c_202061]) ).
tcf(c_232219,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_209669,c_202065]) ).
tcf(c_232223,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(s(host(X0)),nbr_proc)
| ( host(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_209669,c_202336]) ).
tcf(c_232224,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(s(host(X0)),nbr_proc)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_209669,c_203951]) ).
tcf(c_232227,plain,
! [X0: $i] :
( leq(s(nbr_proc),nbr_proc)
| leq(host(sK8),s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_209669,c_208639]) ).
tcf(c_232228,plain,
! [X0: $i] :
( leq(s(nbr_proc),nbr_proc)
| leq(X0,host(sK8))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_202430]) ).
tcf(c_232229,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_220294]) ).
tcf(c_232230,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(s(zero),X0)
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_207255]) ).
tcf(c_232233,plain,
( leq(s(host(sK8)),nbr_proc)
| leq(host(sK8),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_209669,c_202432]) ).
tcf(c_232234,plain,
( leq(s(host(sK8)),nbr_proc)
| leq(host(sK8),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_209669,c_202435]) ).
tcf(c_232235,plain,
( leq(host(sK8),s(nbr_proc))
| leq(s(host(sK8)),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_202438]) ).
tcf(c_232237,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(host(X0),X1)
| leq(host(sK8),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_209669,c_223710]) ).
tcf(c_232240,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(s(X0),nbr_proc)
| leq(host(sK8),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_209669,c_203974]) ).
tcf(c_232242,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(host(X0),s(X1))
| leq(host(sK8),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_209669,c_224023]) ).
tcf(c_232243,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),s(X0))
| leq(host(sK8),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_209669,c_213643]) ).
tcf(c_232244,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(host(X0),X1)
| leq(host(sK8),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_209669,c_223104]) ).
tcf(c_232245,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(s(X0),nbr_proc)
| leq(host(sK8),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_209669,c_206889]) ).
tcf(c_232248,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(host(X0),X1)
| leq(host(sK8),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_209669,c_223145]) ).
tcf(c_232249,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(s(X0),nbr_proc)
| leq(host(sK8),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_209669,c_210420]) ).
tcf(c_232258,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(s(zero),s(X1))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_209669,c_213503]) ).
tcf(c_232259,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_209669,c_207823]) ).
tcf(c_232260,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_209669,c_205062]) ).
tcf(c_232261,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_209669,c_204492]) ).
tcf(c_232262,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_209669,c_212912]) ).
tcf(c_232263,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_209669,c_206597]) ).
tcf(c_232264,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_209669,c_204502]) ).
tcf(c_232265,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_209669,c_202069]) ).
tcf(c_232266,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(host(sK8)),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_214522]) ).
tcf(c_232267,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(X0),nbr_proc)
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_209669,c_204770]) ).
tcf(c_232268,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(host(sK8),s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_209669,c_204971]) ).
tcf(c_232269,plain,
( leq(s(host(sK8)),nbr_proc)
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_209669,c_204982]) ).
tcf(c_232271,plain,
( leq(s(host(sK8)),nbr_proc)
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_209669,c_213049]) ).
tcf(c_232272,plain,
! [X0: $i] :
( leq(host(sK8),host(sK7))
| leq(s(host(X0)),nbr_proc)
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_209669,c_206837]) ).
tcf(c_232273,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X0,X2)
| leq(s(X2),nbr_proc)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_209669,c_204714]) ).
tcf(c_232275,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(zero,s(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_211410]) ).
tcf(c_232276,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(host(sK8),nbr_proc)
| leq(s(X2),nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209669,c_209486]) ).
tcf(c_232277,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(host(sK8),X0)
| leq(s(X2),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_209669,c_208821]) ).
tcf(c_232278,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(s(zero),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_205100]) ).
tcf(c_232279,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_203571]) ).
tcf(c_232280,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(host(sK8),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_202047]) ).
tcf(c_232281,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| ( host(sK8) = X0 )
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_209669,c_109]) ).
tcf(c_232282,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(host(sK8),X1)
| leq(s(X2),nbr_proc)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_209669,c_106]) ).
tcf(c_232283,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(s(X1),nbr_proc)
| leq(s(X0),X1)
| ( s(X0) = host(sK8) ) ),
inference(superposition,[status(thm)],[c_209669,c_114]) ).
tcf(c_232286,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(s(X1),nbr_proc)
| leq(s(host(sK8)),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_209669,c_204891]) ).
tcf(c_232289,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_209669,c_201741]) ).
tcf(c_232290,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_209669,c_201742]) ).
tcf(c_232291,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X1,X0)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_204463]) ).
tcf(c_232301,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(nbr_proc))
| leq(host(sK8),X2)
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_209669,c_208821]) ).
tcf(c_232304,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(host(sK8),X2)
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_209669,c_202047]) ).
tcf(c_232324,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_209669,c_208639]) ).
tcf(c_232355,plain,
( leq(host(sK8),host(sK8))
| leq(s(host(sK8)),nbr_proc) ),
inference(equality_factoring,[status(thm)],[c_209669]) ).
tcf(c_232356,plain,
( leq(s(nbr_proc),nbr_proc)
| leq(host(sK8),s(nbr_proc)) ),
inference(equality_factoring,[status(thm)],[c_209669]) ).
tcf(c_232360,plain,
( leq(nbr_proc,nbr_proc)
| leq(host(sK8),s(nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_232235,c_202443]) ).
tcf(c_232369,plain,
( leq(nbr_proc,nbr_proc)
| leq(host(sK8),s(s(nbr_proc))) ),
inference(light_normalisation,[status(thm)],[c_232234,c_202443]) ).
tcf(c_232380,plain,
( leq(nbr_proc,nbr_proc)
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(light_normalisation,[status(thm)],[c_232269,c_202443]) ).
tcf(c_232410,plain,
( leq(nbr_proc,nbr_proc)
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(light_normalisation,[status(thm)],[c_232271,c_202443]) ).
tcf(c_232413,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(light_normalisation,[status(thm)],[c_232266,c_202443]) ).
tcf(c_232512,plain,
( leq(nbr_proc,nbr_proc)
| leq(host(sK8),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(light_normalisation,[status(thm)],[c_232198,c_202443]) ).
tcf(c_232530,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(host(sK8),X1)
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(light_normalisation,[status(thm)],[c_232183,c_202443]) ).
tcf(c_232543,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232227,c_117]) ).
tcf(c_232547,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(host(sK8),X0)
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(light_normalisation,[status(thm)],[c_232181,c_202443]) ).
tcf(c_232740,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_232289,c_208821]) ).
tcf(c_232743,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_232289,c_202047]) ).
tcf(c_232744,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| ( sK10(sK6,sK8) = X0 )
| ~ iPr_def_12
| ~ leq(X0,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_232289,c_109]) ).
tcf(c_232745,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(sK10(sK6,sK8),X1)
| ~ iPr_def_12
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_232289,c_106]) ).
tcf(c_232746,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),X0)
| leq(s(s(X0)),nbr_proc)
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_232289,c_114]) ).
tcf(c_232751,plain,
( leq(sK10(sK6,sK8),nbr_proc)
| leq(s(host(sK8)),nbr_proc)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_232289,c_202437]) ).
tcf(c_232756,plain,
( leq(nbr_proc,nbr_proc)
| leq(sK10(sK6,sK8),nbr_proc)
| ~ iPr_def_12 ),
inference(light_normalisation,[status(thm)],[c_232751,c_202443]) ).
tcf(c_232820,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_232290,c_208821]) ).
tcf(c_232823,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_232290,c_202047]) ).
tcf(c_232824,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| ( sK10(sK7,sK8) = X0 )
| ~ iPr_def_12
| ~ leq(X0,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_232290,c_109]) ).
tcf(c_232825,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(sK10(sK7,sK8),X1)
| ~ iPr_def_12
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_232290,c_106]) ).
tcf(c_232826,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),X0)
| leq(s(s(X0)),nbr_proc)
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_232290,c_114]) ).
tcf(c_232831,plain,
( leq(sK10(sK7,sK8),nbr_proc)
| leq(s(host(sK8)),nbr_proc)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_232290,c_202437]) ).
tcf(c_232836,plain,
( leq(nbr_proc,nbr_proc)
| leq(sK10(sK7,sK8),nbr_proc)
| ~ iPr_def_12 ),
inference(light_normalisation,[status(thm)],[c_232831,c_202443]) ).
tcf(c_232876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),
inference(superposition,[status(thm)],[c_230475,c_135]) ).
tcf(c_232877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27) != q_nil,
inference(superposition,[status(thm)],[c_230475,c_137]) ).
tcf(c_232878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27)),
inference(superposition,[status(thm)],[c_230475,c_101]) ).
tcf(c_232879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28)) ),
inference(superposition,[status(thm)],[c_230475,c_102]) ).
tcf(c_232880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28)) ),
inference(superposition,[status(thm)],[c_230475,c_103]) ).
tcf(c_232881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X0)),
inference(superposition,[status(thm)],[c_230475,c_203176]) ).
tcf(c_232882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X0))),
inference(superposition,[status(thm)],[c_230475,c_203596]) ).
tcf(c_232883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X0)))),
inference(superposition,[status(thm)],[c_230475,c_207142]) ).
tcf(c_232906,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_207601,c_202048]) ).
tcf(c_232907,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_206197,c_202048]) ).
tcf(c_232908,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,host(X2))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204992,c_202048]) ).
tcf(c_232909,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204989,c_202048]) ).
tcf(c_232910,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(nbr_proc,X1)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_202050,c_202048]) ).
tcf(c_232911,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,s(nbr_proc))
| leq(host(sK8),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208882,c_202048]) ).
tcf(c_232912,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X2)
| leq(nbr_proc,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_222536,c_202048]) ).
tcf(c_232913,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X2)
| leq(zero,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208857,c_202048]) ).
tcf(c_232918,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(s(X2),nbr_proc)
| leq(host(sK8),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_209669,c_202048]) ).
tcf(c_232919,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,host(sK8))
| leq(nbr_proc,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208833,c_202048]) ).
tcf(c_232920,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(zero,s(X1))
| leq(X2,host(sK8))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_219292,c_202048]) ).
tcf(c_232922,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X0,s(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_230102,c_202048]) ).
tcf(c_232923,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,s(X1))
| leq(X2,host(sK8))
| leq(X0,s(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208856,c_202048]) ).
tcf(c_232924,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,s(X2))
| leq(nbr_proc,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208028,c_202048]) ).
tcf(c_232926,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X1))
| leq(X0,s(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_203736,c_202048]) ).
tcf(c_232927,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X1))
| ~ leq(X2,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_202048]) ).
tcf(c_232928,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,s(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_201841,c_202048]) ).
tcf(c_232929,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X1))
| ~ leq(X2,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_202048]) ).
tcf(c_232931,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_119,c_202048]) ).
tcf(c_232933,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,s(X2))
| leq(X0,host(sK8))
| leq(X2,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208833,c_202048]) ).
tcf(c_232934,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X0,host(sK8))
| leq(X2,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_219292,c_202048]) ).
tcf(c_232935,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| ( s(X0) = nbr_proc )
| ~ leq(X1,X0)
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202048]) ).
tcf(c_232936,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_203667,c_202048]) ).
tcf(c_232937,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(X1))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_201592,c_202048]) ).
tcf(c_232938,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(s(X1)))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_201706,c_202048]) ).
tcf(c_232939,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_201662,c_202048]) ).
tcf(c_232940,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_201663,c_202048]) ).
tcf(c_232941,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(s(s(X1))))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_201871,c_202048]) ).
tcf(c_232942,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X2)
| leq(host(sK8),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208855,c_202048]) ).
tcf(c_232943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X2)
| leq(X0,X3)
| leq(X2,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208818,c_202048]) ).
tcf(c_232944,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X0,host(sK8))
| leq(X2,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208856,c_202048]) ).
tcf(c_232945,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X0,X2)
| ~ leq(nbr_proc,X2)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204257,c_202048]) ).
tcf(c_232946,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(X2))
| leq(X2,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204008,c_202048]) ).
tcf(c_232947,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(s(s(s(X1)))))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_203745,c_202048]) ).
tcf(c_232948,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(X2,X1)
| leq(host(sK8),X2)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_209669,c_202048]) ).
tcf(c_232953,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(X1))
| leq(X1,s(host(X2)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_206665,c_202048]) ).
tcf(c_232954,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_207865,c_202048]) ).
tcf(c_232955,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| ~ leq(nbr_proc,X1)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_207261,c_202048]) ).
tcf(c_232956,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| ~ leq(X1,zero)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207866,c_202048]) ).
tcf(c_232957,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(X2))
| leq(X0,s(X1))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204993,c_202048]) ).
tcf(c_232958,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_207867,c_202048]) ).
tcf(c_232959,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(s(zero),s(s(s(X1))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206391,c_202048]) ).
tcf(c_232960,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(zero,s(s(s(X1))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206392,c_202048]) ).
tcf(c_232961,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(s(zero),s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204993,c_202048]) ).
tcf(c_232962,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(zero,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204430,c_202048]) ).
tcf(c_232963,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(s(zero),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204992,c_202048]) ).
tcf(c_232964,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X1))
| leq(X0,host(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204429,c_202048]) ).
tcf(c_232965,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ),
inference(superposition,[status(thm)],[c_204046,c_202048]) ).
tcf(c_232966,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ~ iPr_def_12
| ~ leq(X0,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_204048,c_202048]) ).
tcf(c_232967,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ~ iPr_def_12
| ~ leq(X0,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_204049,c_202048]) ).
tcf(c_232968,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| ~ leq(X0,s(zero)) ),
inference(superposition,[status(thm)],[c_222418,c_202048]) ).
tcf(c_232969,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| ~ leq(X0,s(zero)) ),
inference(superposition,[status(thm)],[c_208874,c_202048]) ).
tcf(c_232970,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(nbr_proc,X1)
| ~ leq(X0,s(zero)) ),
inference(superposition,[status(thm)],[c_204158,c_202048]) ).
tcf(c_232971,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208850,c_202048]) ).
tcf(c_232972,plain,
! [X0: $i,X1: $i] :
( leq(X0,sK10(sK6,sK8))
| leq(s(zero),s(X1))
| ~ iPr_def_11
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204361,c_202048]) ).
tcf(c_232973,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204364,c_202048]) ).
tcf(c_232974,plain,
! [X0: $i] :
( leq(X0,s(s(sK10(sK6,sK8))))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204367,c_202048]) ).
tcf(c_232975,plain,
! [X0: $i] :
( leq(X0,s(s(s(sK10(sK6,sK8)))))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204368,c_202048]) ).
tcf(c_232976,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208851,c_202048]) ).
tcf(c_232977,plain,
! [X0: $i,X1: $i] :
( leq(X0,sK10(sK7,sK8))
| leq(s(zero),s(X1))
| ~ iPr_def_11
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204616,c_202048]) ).
tcf(c_232978,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204619,c_202048]) ).
tcf(c_232979,plain,
! [X0: $i] :
( leq(X0,s(s(sK10(sK7,sK8))))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204622,c_202048]) ).
tcf(c_232980,plain,
! [X0: $i] :
( leq(X0,s(s(s(sK10(sK7,sK8)))))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204623,c_202048]) ).
tcf(c_232981,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(s(zero),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207601,c_202048]) ).
tcf(c_232982,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204010,c_202048]) ).
tcf(c_232983,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X0,s(nbr_proc))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_203973,c_202048]) ).
tcf(c_232984,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_205010,c_202048]) ).
tcf(c_232985,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(s(s(s(s(X1))))))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204514,c_202048]) ).
tcf(c_232987,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208024,c_202048]) ).
tcf(c_232988,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(s(X1)))
| ~ leq(X2,X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_202048]) ).
tcf(c_232989,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(s(X1)))
| leq(X0,s(s(X2)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206376,c_202048]) ).
tcf(c_232990,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(s(X1)))
| ~ leq(X2,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_202048]) ).
tcf(c_232991,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206375,c_202048]) ).
tcf(c_232992,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(host(X2)))
| leq(s(zero),s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206665,c_202048]) ).
tcf(c_232993,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),s(X1))
| leq(X0,s(host(X2)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208896,c_202048]) ).
tcf(c_232994,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(s(X1)))
| leq(X0,s(host(X2)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206666,c_202048]) ).
tcf(c_232995,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X1))
| leq(X0,s(host(X2)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207190,c_202048]) ).
tcf(c_232996,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208890,c_202048]) ).
tcf(c_232997,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208891,c_202048]) ).
tcf(c_232998,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(host(sK8),s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206984,c_202048]) ).
tcf(c_232999,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(zero,s(s(s(X1))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206907,c_202048]) ).
tcf(c_233000,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(host(X2),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_223102,c_202048]) ).
tcf(c_233001,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(s(zero),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208900,c_202048]) ).
tcf(c_233002,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X1)))
| leq(X0,s(s(nbr_proc)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206674,c_202048]) ).
tcf(c_233003,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X0,s(s(nbr_proc)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206886,c_202048]) ).
tcf(c_233004,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| ~ leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_206326,c_202048]) ).
tcf(c_233005,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X2))
| leq(X2,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_222536,c_202048]) ).
tcf(c_233006,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X0,nbr_proc)
| leq(X2,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208857,c_202048]) ).
tcf(c_233007,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X0,s(s(s(s(s(nbr_proc))))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204785,c_202048]) ).
tcf(c_233008,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X0,s(s(s(s(nbr_proc)))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_230136,c_202048]) ).
tcf(c_233009,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(X1)))
| leq(X0,s(s(s(s(nbr_proc)))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204788,c_202048]) ).
tcf(c_233010,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(s(X2)))
| leq(X2,s(s(s(X1))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206515,c_202048]) ).
tcf(c_233011,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(X2))
| leq(X0,s(s(X1)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_206391,c_202048]) ).
tcf(c_233012,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(s(X1)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_210347,c_202048]) ).
tcf(c_233013,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(s(s(s(s(s(X1)))))))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206387,c_202048]) ).
tcf(c_233014,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204996,c_202048]) ).
tcf(c_233015,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(host(X1))))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_205002,c_202048]) ).
tcf(c_233016,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(host(X1)))))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_205003,c_202048]) ).
tcf(c_233017,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(s(host(X1))))))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_205004,c_202048]) ).
tcf(c_233018,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(s(s(host(X1)))))))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_205006,c_202048]) ).
tcf(c_233019,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_205008,c_202048]) ).
tcf(c_233020,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_205009,c_202048]) ).
tcf(c_233021,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X0,host(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206181,c_202048]) ).
tcf(c_233022,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(s(nbr_proc))))))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_207874,c_202048]) ).
tcf(c_233023,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(nbr_proc)))))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_66088,c_202048]) ).
tcf(c_233024,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(s(X1)))
| leq(X0,s(s(s(X2))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206667,c_202048]) ).
tcf(c_233025,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X1))
| leq(X0,s(s(s(X2))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208835,c_202048]) ).
tcf(c_233026,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X1)))
| leq(X0,s(s(s(nbr_proc))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_206899,c_202048]) ).
tcf(c_233027,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),s(X1))
| leq(X0,s(s(s(nbr_proc))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208858,c_202048]) ).
tcf(c_233028,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X0,s(s(s(nbr_proc))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208867,c_202048]) ).
tcf(c_233029,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X1))
| leq(X0,s(s(host(X2))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208879,c_202048]) ).
tcf(c_233031,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,s(nbr_proc))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208533,c_202048]) ).
tcf(c_233032,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X2)
| leq(X2,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208882,c_202048]) ).
tcf(c_233033,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X2),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_222343,c_202048]) ).
tcf(c_233034,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK2))
| leq(nbr_proc,s(s(X1)))
| ( host(sK2) = host(sK7) )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_227736,c_202048]) ).
tcf(c_233035,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(nbr_proc,X1)
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_202443,c_202048]) ).
tcf(c_233793,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| ( host(sK2) = nbr_proc )
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204701,c_232931]) ).
tcf(c_233796,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| ~ leq(host(sK8),zero)
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_232931,c_204714]) ).
tcf(c_233797,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(X0)))
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_232931,c_202428]) ).
tcf(c_233798,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(host(X1)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232931,c_211410]) ).
tcf(c_233799,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),host(X2))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232931,c_209486]) ).
tcf(c_233800,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,s(host(X2)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232931,c_208821]) ).
tcf(c_233801,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),host(X1))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232931,c_205100]) ).
tcf(c_233802,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(X1))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232931,c_203571]) ).
tcf(c_233804,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = X1 )
| ~ leq(X1,zero)
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_232931,c_109]) ).
tcf(c_233805,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| ~ leq(X2,zero)
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_232931,c_106]) ).
tcf(c_233806,plain,
! [X0: $i] : ~ leq(s(host(X0)),zero),
inference(superposition,[status(thm)],[c_232931,c_117]) ).
tcf(c_233807,plain,
! [X0: $i] :
( ~ leq(host(sK2),zero)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_232931,c_203633]) ).
tcf(c_233808,plain,
! [X0: $i] :
( ( s(X0) = nbr_proc )
| ~ leq(X0,zero)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_232931,c_208692]) ).
tcf(c_233810,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),X1)
| ~ leq(nbr_proc,X1)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232931,c_204891]) ).
tcf(c_233811,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232931,c_202427]) ).
tcf(c_233813,plain,
! [X0: $i] : ~ leq(s(s(host(X0))),zero),
inference(superposition,[status(thm)],[c_232931,c_201589]) ).
tcf(c_233814,plain,
! [X0: $i] : ~ leq(s(s(s(host(X0)))),zero),
inference(superposition,[status(thm)],[c_232931,c_201594]) ).
tcf(c_233815,plain,
! [X0: $i] : ~ leq(s(s(s(s(host(X0))))),zero),
inference(superposition,[status(thm)],[c_232931,c_201708]) ).
tcf(c_233816,plain,
! [X0: $i] : ~ leq(s(s(s(s(s(host(X0)))))),zero),
inference(superposition,[status(thm)],[c_232931,c_201873]) ).
tcf(c_233817,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(X2))
| ~ leq(X1,X0)
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232931,c_202048]) ).
tcf(c_233818,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(X1))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232931,c_204027]) ).
tcf(c_233819,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,host(X2))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232931,c_204001]) ).
tcf(c_233820,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232931,c_203735]) ).
tcf(c_233821,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232931,c_201842]) ).
tcf(c_233822,plain,
( ( host(sK2) = host(sK7) )
| ~ leq(host(sK2),zero) ),
inference(superposition,[status(thm)],[c_232931,c_202410]) ).
tcf(c_233832,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232931,c_206377]) ).
tcf(c_233833,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(X1))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232931,c_206704]) ).
tcf(c_233834,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232931,c_202059]) ).
tcf(c_233835,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232931,c_210335]) ).
tcf(c_233836,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X1))
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232931,c_214621]) ).
tcf(c_233837,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(X1))
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232931,c_214130]) ).
tcf(c_233838,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232931,c_202061]) ).
tcf(c_233843,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| ~ leq(s(s(s(s(X0)))),zero) ),
inference(superposition,[status(thm)],[c_232931,c_202065]) ).
tcf(c_233847,plain,
~ leq(s(s(s(nbr_proc))),zero),
inference(superposition,[status(thm)],[c_232931,c_202432]) ).
tcf(c_233848,plain,
~ leq(s(s(nbr_proc)),zero),
inference(superposition,[status(thm)],[c_232931,c_202435]) ).
tcf(c_233866,plain,
! [X0: $i] :
( leq(host(sK8),host(X0))
| ( host(sK2) = host(sK7) )
| ~ leq(host(sK2),zero) ),
inference(superposition,[status(thm)],[c_232931,c_202057]) ).
tcf(c_233875,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232931,c_214522]) ).
tcf(c_233877,plain,
! [X0: $i] : ~ leq(s(s(s(s(s(s(host(X0))))))),zero),
inference(superposition,[status(thm)],[c_232931,c_204971]) ).
tcf(c_233878,plain,
~ leq(s(s(s(s(nbr_proc)))),zero),
inference(superposition,[status(thm)],[c_232931,c_204982]) ).
tcf(c_233879,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),zero) ),
inference(superposition,[status(thm)],[c_232931,c_211870]) ).
tcf(c_233880,plain,
~ leq(s(s(s(s(s(nbr_proc))))),zero),
inference(superposition,[status(thm)],[c_232931,c_213049]) ).
tcf(c_233881,plain,
! [X0: $i] :
( ( host(sK2) = nbr_proc )
| ~ leq(host(sK7),zero)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_232931,c_206837]) ).
tcf(c_234123,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(zero,host(sK8)) ),
inference(superposition,[status(thm)],[c_208856,c_232965]) ).
tcf(c_234142,plain,
( leq(s(zero),s(zero))
| leq(sK10(sK6,sK8),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_232965]) ).
tcf(c_234148,plain,
( leq(s(zero),s(zero))
| leq(sK10(sK7,sK8),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_232965]) ).
tcf(c_234156,plain,
( leq(nbr_proc,nbr_proc)
| leq(zero,host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_232965]) ).
tcf(c_234185,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ iPr_def_11
| ~ leq(host(sK8),zero)
| ~ leq(s(sK10(sK6,sK8)),X0) ),
inference(superposition,[status(thm)],[c_232939,c_204714]) ).
tcf(c_234186,plain,
( leq(nbr_proc,s(sK10(sK6,sK8)))
| ~ iPr_def_11
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_232939,c_202428]) ).
tcf(c_234188,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232939,c_209486]) ).
tcf(c_234189,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(sK10(sK6,sK8)))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232939,c_208821]) ).
tcf(c_234192,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232939,c_202047]) ).
tcf(c_234193,plain,
! [X0: $i] :
( ( sK10(sK6,sK8) = X0 )
| ~ iPr_def_11
| ~ leq(X0,zero)
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_232939,c_109]) ).
tcf(c_234194,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ~ iPr_def_11
| ~ leq(X1,zero)
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_232939,c_106]) ).
tcf(c_234195,plain,
( ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),zero) ),
inference(superposition,[status(thm)],[c_232939,c_117]) ).
tcf(c_234196,plain,
( ~ iPr_def_11
| ~ leq(s(s(sK10(sK6,sK8))),zero) ),
inference(superposition,[status(thm)],[c_232939,c_201589]) ).
tcf(c_234197,plain,
( ~ iPr_def_11
| ~ leq(s(s(s(sK10(sK6,sK8)))),zero) ),
inference(superposition,[status(thm)],[c_232939,c_201594]) ).
tcf(c_234198,plain,
( ~ iPr_def_11
| ~ leq(s(s(s(s(sK10(sK6,sK8))))),zero) ),
inference(superposition,[status(thm)],[c_232939,c_201708]) ).
tcf(c_234200,plain,
( ~ iPr_def_11
| ~ leq(s(s(s(s(s(sK10(sK6,sK8)))))),zero) ),
inference(superposition,[status(thm)],[c_232939,c_201873]) ).
tcf(c_234201,plain,
( ~ iPr_def_12
| ~ iPr_def_11
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_232939,c_201741]) ).
tcf(c_234202,plain,
! [X0: $i,X1: $i] :
( leq(X1,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(X1,X0)
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232939,c_202048]) ).
tcf(c_234204,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232939,c_204001]) ).
tcf(c_234205,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232939,c_203735]) ).
tcf(c_234206,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232939,c_201842]) ).
tcf(c_234216,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232939,c_206377]) ).
tcf(c_234217,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232939,c_206704]) ).
tcf(c_234218,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232939,c_202059]) ).
tcf(c_234219,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232939,c_210335]) ).
tcf(c_234220,plain,
! [X0: $i] :
( leq(nbr_proc,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232939,c_214621]) ).
tcf(c_234221,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232939,c_214130]) ).
tcf(c_234222,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232939,c_202061]) ).
tcf(c_234227,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(s(s(s(X0)))),zero) ),
inference(superposition,[status(thm)],[c_232939,c_202065]) ).
tcf(c_234245,plain,
( leq(host(sK8),sK10(sK6,sK8))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11
| ~ leq(host(sK2),zero) ),
inference(superposition,[status(thm)],[c_232939,c_202057]) ).
tcf(c_234255,plain,
( ~ iPr_def_11
| ~ leq(s(s(s(s(s(s(sK10(sK6,sK8))))))),zero) ),
inference(superposition,[status(thm)],[c_232939,c_204971]) ).
tcf(c_234256,plain,
( leq(nbr_proc,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),zero) ),
inference(superposition,[status(thm)],[c_232939,c_211870]) ).
tcf(c_234422,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ iPr_def_11
| ~ leq(host(sK8),zero)
| ~ leq(s(sK10(sK7,sK8)),X0) ),
inference(superposition,[status(thm)],[c_232940,c_204714]) ).
tcf(c_234423,plain,
( leq(nbr_proc,s(sK10(sK7,sK8)))
| ~ iPr_def_11
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_232940,c_202428]) ).
tcf(c_234425,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232940,c_209486]) ).
tcf(c_234426,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(sK10(sK7,sK8)))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232940,c_208821]) ).
tcf(c_234429,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232940,c_202047]) ).
tcf(c_234430,plain,
! [X0: $i] :
( ( sK10(sK7,sK8) = X0 )
| ~ iPr_def_11
| ~ leq(X0,zero)
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_232940,c_109]) ).
tcf(c_234431,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ~ iPr_def_11
| ~ leq(X1,zero)
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_232940,c_106]) ).
tcf(c_234432,plain,
( ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),zero) ),
inference(superposition,[status(thm)],[c_232940,c_117]) ).
tcf(c_234433,plain,
( ~ iPr_def_11
| ~ leq(s(s(sK10(sK7,sK8))),zero) ),
inference(superposition,[status(thm)],[c_232940,c_201589]) ).
tcf(c_234434,plain,
( ~ iPr_def_11
| ~ leq(s(s(s(sK10(sK7,sK8)))),zero) ),
inference(superposition,[status(thm)],[c_232940,c_201594]) ).
tcf(c_234435,plain,
( ~ iPr_def_11
| ~ leq(s(s(s(s(sK10(sK7,sK8))))),zero) ),
inference(superposition,[status(thm)],[c_232940,c_201708]) ).
tcf(c_234437,plain,
( ~ iPr_def_11
| ~ leq(s(s(s(s(s(sK10(sK7,sK8)))))),zero) ),
inference(superposition,[status(thm)],[c_232940,c_201873]) ).
tcf(c_234439,plain,
! [X0: $i,X1: $i] :
( leq(X1,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(X1,X0)
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232940,c_202048]) ).
tcf(c_234441,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232940,c_204001]) ).
tcf(c_234442,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232940,c_203735]) ).
tcf(c_234443,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232940,c_201842]) ).
tcf(c_234453,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232940,c_206377]) ).
tcf(c_234454,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232940,c_206704]) ).
tcf(c_234455,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232940,c_202059]) ).
tcf(c_234456,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232940,c_210335]) ).
tcf(c_234457,plain,
! [X0: $i] :
( leq(nbr_proc,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232940,c_214621]) ).
tcf(c_234458,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232940,c_214130]) ).
tcf(c_234459,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232940,c_202061]) ).
tcf(c_234464,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(s(s(s(X0)))),zero) ),
inference(superposition,[status(thm)],[c_232940,c_202065]) ).
tcf(c_234482,plain,
( leq(host(sK8),sK10(sK7,sK8))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11
| ~ leq(host(sK2),zero) ),
inference(superposition,[status(thm)],[c_232940,c_202057]) ).
tcf(c_234492,plain,
( ~ iPr_def_11
| ~ leq(s(s(s(s(s(s(sK10(sK7,sK8))))))),zero) ),
inference(superposition,[status(thm)],[c_232940,c_204971]) ).
tcf(c_234493,plain,
( leq(nbr_proc,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),zero) ),
inference(superposition,[status(thm)],[c_232940,c_211870]) ).
tcf(c_234666,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X1)
| leq(host(sK8),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208882,c_233035]) ).
tcf(c_234667,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207601,c_233035]) ).
tcf(c_234668,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(s(host(sK8)),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206197,c_233035]) ).
tcf(c_234669,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(sK8),host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204992,c_233035]) ).
tcf(c_234672,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208882,c_233035]) ).
tcf(c_234673,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_222536,c_233035]) ).
tcf(c_234674,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(host(sK8),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208857,c_233035]) ).
tcf(c_234679,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| leq(s(host(sK8)),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_209669,c_233035]) ).
tcf(c_234680,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(host(sK8),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208833,c_233035]) ).
tcf(c_234681,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(host(sK8),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_219292,c_233035]) ).
tcf(c_234684,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),X1)
| leq(nbr_proc,s(host(sK2)))
| ~ leq(nbr_proc,X1)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_233035]) ).
tcf(c_234687,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( X0 = nbr_proc )
| ~ leq(nbr_proc,X1)
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_233035]) ).
tcf(c_234688,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203667,c_233035]) ).
tcf(c_234692,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(host(sK8),X0)
| leq(s(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_209669,c_233035]) ).
tcf(c_234693,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208818,c_233035]) ).
tcf(c_234694,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_222343,c_233035]) ).
tcf(c_234696,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| leq(host(sK8),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223102,c_233035]) ).
tcf(c_234701,plain,
! [X0: $i] :
( leq(host(sK8),s(zero))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211068,c_233035]) ).
tcf(c_234707,plain,
! [X0: $i] :
( leq(host(sK8),s(zero))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_212523,c_233035]) ).
tcf(c_234709,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X2,X0)
| leq(X1,s(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208856,c_233035]) ).
tcf(c_234711,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208857,c_233035]) ).
tcf(c_234714,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,host(sK8))
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_219292,c_233035]) ).
tcf(c_234716,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206391,c_233035]) ).
tcf(c_234718,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204993,c_233035]) ).
tcf(c_234726,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),X0)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206186,c_233035]) ).
tcf(c_234727,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),X0)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206187,c_233035]) ).
tcf(c_234740,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(s(zero),X0)
| ~ leq(nbr_proc,X0) ),
inference(light_normalisation,[status(thm)],[c_234668,c_202443]) ).
tcf(c_234765,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X1,X0)
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X0) ),
inference(light_normalisation,[status(thm)],[c_234679,c_202443]) ).
tcf(c_234886,plain,
( leq(nbr_proc,nbr_proc)
| leq(host(sK8),host(sK2))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_202443,c_232180]) ).
tcf(c_234892,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),host(sK2))
| leq(s(host(X0)),X1)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_232180,c_208821]) ).
tcf(c_234895,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),host(sK2))
| leq(s(host(X0)),X1)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_232180,c_202047]) ).
tcf(c_234896,plain,
! [X0: $i] :
( leq(host(sK8),host(sK2))
| ( s(host(X0)) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0)
| ~ leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_232180,c_109]) ).
tcf(c_234897,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),host(sK2))
| leq(s(host(X0)),X1)
| ~ leq(nbr_proc,X1)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_232180,c_106]) ).
tcf(c_234898,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),host(sK2))
| ~ elem(m_Ldr(X1),sK0)
| ~ leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_232180,c_202048]) ).
tcf(c_234903,plain,
! [X0: $i] :
( leq(host(sK8),host(sK2))
| ( s(host(X0)) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0)
| ~ leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_232180,c_208639]) ).
tcf(c_234904,plain,
! [X0: $i] :
( leq(host(sK8),host(sK2))
| leq(host(X0),host(sK8))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_232180,c_202430]) ).
tcf(c_234940,plain,
( leq(nbr_proc,nbr_proc)
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_202443,c_233811]) ).
tcf(c_234942,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(host(X1),nbr_proc)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233811,c_209486]) ).
tcf(c_234943,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(X0),X1)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233811,c_208821]) ).
tcf(c_234946,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(X0),X1)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233811,c_202047]) ).
tcf(c_234954,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| ~ leq(X1,zero)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_233811,c_202048]) ).
tcf(c_234961,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233811,c_202059]) ).
tcf(c_234962,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_233811,c_210335]) ).
tcf(c_234963,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_233811,c_214621]) ).
tcf(c_234965,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_233811,c_202061]) ).
tcf(c_234966,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_233811,c_202065]) ).
tcf(c_234967,plain,
! [X0: $i] :
( ( s(X0) = nbr_proc )
| ~ leq(X0,zero)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_233811,c_208639]) ).
tcf(c_234968,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233811,c_202430]) ).
tcf(c_235070,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_233875]) ).
tcf(c_235080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),
inference(superposition,[status(thm)],[c_232876,c_135]) ).
tcf(c_235081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28) != q_nil,
inference(superposition,[status(thm)],[c_232876,c_137]) ).
tcf(c_235082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28)),
inference(superposition,[status(thm)],[c_232876,c_101]) ).
tcf(c_235083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29)) ),
inference(superposition,[status(thm)],[c_232876,c_102]) ).
tcf(c_235084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29)) ),
inference(superposition,[status(thm)],[c_232876,c_103]) ).
tcf(c_235085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X0)),
inference(superposition,[status(thm)],[c_232876,c_203176]) ).
tcf(c_235086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X0))),
inference(superposition,[status(thm)],[c_232876,c_203596]) ).
tcf(c_235087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X0)))),
inference(superposition,[status(thm)],[c_232876,c_207142]) ).
tcf(c_235152,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),X0)
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208833,c_202070]) ).
tcf(c_235156,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),s(X0))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208856,c_202070]) ).
tcf(c_235160,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_113,c_202070]) ).
tcf(c_235164,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(zero),host(sK8))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208833,c_202070]) ).
tcf(c_235165,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_219292,c_202070]) ).
tcf(c_235166,plain,
( leq(s(zero),host(sK8))
| ( s(s(s(s(nbr_proc)))) = nbr_proc )
| ~ leq(s(s(s(s(nbr_proc)))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_202070]) ).
tcf(c_235167,plain,
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_203667,c_202070]) ).
tcf(c_235172,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208818,c_202070]) ).
tcf(c_235173,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208856,c_202070]) ).
tcf(c_235175,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204008,c_202070]) ).
tcf(c_235202,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_202070]) ).
tcf(c_235224,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_206515,c_202070]) ).
tcf(c_235225,plain,
leq(s(zero),s(s(s(s(s(s(s(s(s(s(s(nbr_proc)))))))))))),
inference(superposition,[status(thm)],[c_206387,c_202070]) ).
tcf(c_235227,plain,
! [X0: $i] :
( leq(s(zero),s(s(s(X0))))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_206667,c_202070]) ).
tcf(c_235237,plain,
( leq(s(zero),host(sK2))
| leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_202070]) ).
tcf(c_235255,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(host(sK8),zero)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_232984,c_204714]) ).
tcf(c_235256,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_232984,c_202428]) ).
tcf(c_235258,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),s(nbr_proc))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232984,c_209486]) ).
tcf(c_235259,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(nbr_proc)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232984,c_208821]) ).
tcf(c_235263,plain,
! [X0: $i] :
( ( s(nbr_proc) = X0 )
| ~ leq(X0,zero)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_232984,c_109]) ).
tcf(c_235264,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ~ leq(X1,zero)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_232984,c_106]) ).
tcf(c_235265,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(nbr_proc) = X0 )
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232984,c_114]) ).
tcf(c_235271,plain,
~ leq(s(s(s(s(s(s(nbr_proc)))))),zero),
inference(superposition,[status(thm)],[c_232984,c_201873]) ).
tcf(c_235272,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| ~ leq(X1,X0)
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232984,c_202048]) ).
tcf(c_235274,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232984,c_204001]) ).
tcf(c_235275,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232984,c_203735]) ).
tcf(c_235286,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232984,c_206377]) ).
tcf(c_235287,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232984,c_206704]) ).
tcf(c_235289,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232984,c_210335]) ).
tcf(c_235290,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232984,c_214621]) ).
tcf(c_235291,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232984,c_214130]) ).
tcf(c_235292,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_232984,c_202061]) ).
tcf(c_235297,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ~ leq(s(s(s(s(X0)))),zero) ),
inference(superposition,[status(thm)],[c_232984,c_202065]) ).
tcf(c_235319,plain,
( leq(host(sK8),s(nbr_proc))
| ( host(sK2) = host(sK7) )
| ~ leq(host(sK2),zero) ),
inference(superposition,[status(thm)],[c_232984,c_202057]) ).
tcf(c_235329,plain,
~ leq(s(s(s(s(s(s(s(nbr_proc))))))),zero),
inference(superposition,[status(thm)],[c_232984,c_204971]) ).
tcf(c_235405,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK8))
| leq(zero,s(X0)) ),
inference(superposition,[status(thm)],[c_219292,c_234961]) ).
tcf(c_235419,plain,
! [X0: $i] :
( leq(X0,s(host(sK2)))
| ( host(sK2) = nbr_proc )
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204701,c_233014]) ).
tcf(c_235422,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| ~ leq(host(sK8),zero)
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_233014,c_204714]) ).
tcf(c_235423,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(host(X0))))
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_233014,c_202428]) ).
tcf(c_235424,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(host(X1))))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233014,c_211410]) ).
tcf(c_235425,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),s(host(X2)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233014,c_209486]) ).
tcf(c_235426,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,s(s(host(X2))))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233014,c_208821]) ).
tcf(c_235427,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),s(host(X1)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233014,c_205100]) ).
tcf(c_235430,plain,
! [X0: $i,X1: $i] :
( ( s(host(X0)) = X1 )
| ~ leq(X1,zero)
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_233014,c_109]) ).
tcf(c_235431,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| ~ leq(X2,zero)
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_233014,c_106]) ).
tcf(c_235432,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| ( s(host(X1)) = X0 )
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233014,c_114]) ).
tcf(c_235439,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,s(host(X2)))
| ~ leq(X1,X0)
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233014,c_202048]) ).
tcf(c_235440,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(host(X1)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233014,c_204027]) ).
tcf(c_235441,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,s(host(X2)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233014,c_204001]) ).
tcf(c_235442,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(host(X1))))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233014,c_203735]) ).
tcf(c_235453,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(host(X1))))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_233014,c_206377]) ).
tcf(c_235454,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(X1)))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_233014,c_206704]) ).
tcf(c_235456,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(host(X1))))
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_233014,c_210335]) ).
tcf(c_235457,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(host(X1)))
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_233014,c_214621]) ).
tcf(c_235458,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(X1)))
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_233014,c_214130]) ).
tcf(c_235464,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| ~ leq(s(s(s(s(X0)))),zero) ),
inference(superposition,[status(thm)],[c_233014,c_202065]) ).
tcf(c_235486,plain,
! [X0: $i] :
( leq(host(sK8),s(host(X0)))
| ( host(sK2) = host(sK7) )
| ~ leq(host(sK2),zero) ),
inference(superposition,[status(thm)],[c_233014,c_202057]) ).
tcf(c_235496,plain,
! [X0: $i] : ~ leq(s(s(s(s(s(s(s(host(X0)))))))),zero),
inference(superposition,[status(thm)],[c_233014,c_204971]) ).
tcf(c_235681,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208833,c_233880]) ).
tcf(c_235698,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(sK10(sK6,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_234196]) ).
tcf(c_235715,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(sK10(sK7,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_234433]) ).
tcf(c_235727,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X1,host(sK8))
| leq(host(X0),s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_210340,c_209486]) ).
tcf(c_235729,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK8))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_210340,c_205100]) ).
tcf(c_235735,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(sK8),X0)
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_210340,c_218832]) ).
tcf(c_235739,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_210340,c_207255]) ).
tcf(c_235741,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_210340,c_202431]) ).
tcf(c_235754,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(nbr_proc))
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_210354,c_204714]) ).
tcf(c_235755,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_210354,c_202428]) ).
tcf(c_235762,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(s(s(X0))) = host(sK8) )
| ~ leq(s(s(s(X0))),host(sK8)) ),
inference(superposition,[status(thm)],[c_210354,c_109]) ).
tcf(c_235763,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_210354,c_106]) ).
tcf(c_235843,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,X1)
| leq(X1,s(host(sK8)))
| ~ leq(s(host(sK8)),X0) ),
inference(superposition,[status(thm)],[c_211595,c_204714]) ).
tcf(c_235844,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(host(sK8)))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_211595,c_202428]) ).
tcf(c_235846,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,nbr_proc)
| leq(X1,s(X2))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_211595,c_209486]) ).
tcf(c_235847,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(X1,s(X2))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_211595,c_208821]) ).
tcf(c_235851,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| ( host(sK8) = X0 )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_211595,c_109]) ).
tcf(c_235852,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(X1,s(X2))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_211595,c_106]) ).
tcf(c_235855,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(X1,s(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211595,c_233035]) ).
tcf(c_235856,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_211595,c_208692]) ).
tcf(c_235858,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(X1))
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211595,c_204891]) ).
tcf(c_235859,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(X1),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_211595,c_202427]) ).
tcf(c_235865,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X0,host(sK8))
| leq(X2,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_211595,c_202048]) ).
tcf(c_235866,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(zero,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_204027]) ).
tcf(c_235867,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,X2)
| leq(X2,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_204001]) ).
tcf(c_235871,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(X0,host(sK8))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_211595,c_218832]) ).
tcf(c_235874,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(zero,X0)
| leq(X2,host(sK8))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_204463]) ).
tcf(c_235883,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(host(sK8)))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_211595,c_210335]) ).
tcf(c_235884,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(nbr_proc,host(sK8))
| leq(X1,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211595,c_214621]) ).
tcf(c_235885,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_211595,c_214130]) ).
tcf(c_235887,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_211595,c_203775]) ).
tcf(c_235888,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_211595,c_202063]) ).
tcf(c_235889,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_211595,c_203787]) ).
tcf(c_235890,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_211595,c_202064]) ).
tcf(c_235891,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,host(sK8))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_211595,c_202065]) ).
tcf(c_235899,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,host(sK8))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_211595,c_204171]) ).
tcf(c_235903,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(s(nbr_proc))))
| leq(host(X0),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_211595,c_224023]) ).
tcf(c_235904,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(zero),s(host(sK8)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_211595,c_213643]) ).
tcf(c_235909,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),host(sK8))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_211595,c_223145]) ).
tcf(c_235910,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,s(host(sK8)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_211595,c_210420]) ).
tcf(c_235913,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_211595,c_202070]) ).
tcf(c_235914,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_211595,c_203989]) ).
tcf(c_235915,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),host(sK8))
| leq(X0,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_211595,c_202057]) ).
tcf(c_235916,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),s(host(sK8)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_211595,c_213503]) ).
tcf(c_235920,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(host(sK8)))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_211595,c_212912]) ).
tcf(c_235921,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_211595,c_206597]) ).
tcf(c_235923,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_211595,c_202069]) ).
tcf(c_235926,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(s(s(s(host(sK8))))))))) ),
inference(superposition,[status(thm)],[c_211595,c_204971]) ).
tcf(c_235928,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(sK8))
| leq(X0,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_211595,c_211870]) ).
tcf(c_235931,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,host(sK8))
| leq(X0,host(sK8))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_211595,c_204714]) ).
tcf(c_235933,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,host(sK8))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_211595,c_211410]) ).
tcf(c_235934,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,nbr_proc)
| leq(X1,host(sK8))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_211595,c_209486]) ).
tcf(c_235935,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(X1,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_208821]) ).
tcf(c_235936,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,host(sK8))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_211595,c_205100]) ).
tcf(c_235939,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,host(sK8))
| ( s(X0) = X1 )
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_211595,c_109]) ).
tcf(c_235940,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X0,host(sK8))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_211595,c_106]) ).
tcf(c_235948,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X1))
| leq(X2,host(sK8))
| leq(X0,s(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_211595,c_202048]) ).
tcf(c_235949,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(zero,s(X0))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_211595,c_204027]) ).
tcf(c_235950,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(X1,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_211595,c_204001]) ).
tcf(c_235951,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X1,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_203735]) ).
tcf(c_235956,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(X2))
| leq(X1,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_211595,c_204463]) ).
tcf(c_235962,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(zero,s(s(X0)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_206377]) ).
tcf(c_235963,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,host(sK8))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_211595,c_206704]) ).
tcf(c_235965,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(X0,s(s(X1)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_211595,c_210335]) ).
tcf(c_235967,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,host(sK8))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_211595,c_214130]) ).
tcf(c_235970,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(zero,sK10(sK6,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_211595,c_202063]) ).
tcf(c_235972,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(zero,sK10(sK7,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_211595,c_202064]) ).
tcf(c_235973,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(X0,s(X1))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_211595,c_202065]) ).
tcf(c_235999,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(X0,host(sK8))
| leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_211595,c_202057]) ).
tcf(c_236000,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(zero,s(host(X1)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_211595,c_213503]) ).
tcf(c_236009,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(zero,s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_211595,c_204971]) ).
tcf(c_236017,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,X0)
| leq(X0,nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_235844,c_202443]) ).
tcf(c_236062,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(zero,X0)
| leq(X0,s(s(s(host(X1))))) ),
inference(light_normalisation,[status(thm)],[c_235920,c_202443]) ).
tcf(c_236063,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),nbr_proc)
| leq(X0,s(s(host(X1)))) ),
inference(light_normalisation,[status(thm)],[c_235916,c_202443]) ).
tcf(c_236064,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(zero,X0)
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(light_normalisation,[status(thm)],[c_235910,c_202443]) ).
tcf(c_236068,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(zero),nbr_proc)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(light_normalisation,[status(thm)],[c_235904,c_202443]) ).
tcf(c_236224,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(host(X1),s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215311,c_209486]) ).
tcf(c_236225,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215311,c_208821]) ).
tcf(c_236226,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(s(zero),s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215311,c_205100]) ).
tcf(c_236229,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = nbr_proc )
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(s(X0)))),nbr_proc) ),
inference(superposition,[status(thm)],[c_215311,c_109]) ).
tcf(c_236230,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_215311,c_106]) ).
tcf(c_236231,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| ( s(s(s(s(X0)))) = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215311,c_114]) ).
tcf(c_236232,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215311,c_218832]) ).
tcf(c_236238,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215311,c_202431]) ).
tcf(c_236281,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(X1)))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223259,c_204714]) ).
tcf(c_236284,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X2)
| leq(host(X1),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_209486]) ).
tcf(c_236285,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_208821]) ).
tcf(c_236289,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| ( X0 = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223259,c_109]) ).
tcf(c_236290,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(nbr_proc,s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223259,c_106]) ).
tcf(c_236296,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(X2,s(X1))
| leq(nbr_proc,s(s(X2)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_223259,c_202048]) ).
tcf(c_236298,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_204001]) ).
tcf(c_236299,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_203735]) ).
tcf(c_236301,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(host(sK8),X1)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_218832]) ).
tcf(c_236304,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,nbr_proc)
| leq(X0,host(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_204463]) ).
tcf(c_236310,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_223259,c_206377]) ).
tcf(c_236313,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_223259,c_210335]) ).
tcf(c_236322,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(nbr_proc,s(s(X1)))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_223259,c_208639]) ).
tcf(c_236324,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X1),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_223710]) ).
tcf(c_236325,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_204171]) ).
tcf(c_236331,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_223259,c_223104]) ).
tcf(c_236353,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(host(sK8))))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_223259,c_204714]) ).
tcf(c_236354,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(nbr_proc,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_223259,c_202428]) ).
tcf(c_236356,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,nbr_proc)
| leq(host(X1),X2)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_209486]) ).
tcf(c_236358,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(s(zero),X1)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_205100]) ).
tcf(c_236361,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X1)))
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_223259,c_109]) ).
tcf(c_236362,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(X2,X1)
| leq(nbr_proc,s(s(X2)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_223259,c_106]) ).
tcf(c_236363,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(X1)))
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_223259,c_114]) ).
tcf(c_236364,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_223259,c_115]) ).
tcf(c_236367,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223259,c_233035]) ).
tcf(c_236368,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(s(X0)))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_223259,c_208692]) ).
tcf(c_236370,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),nbr_proc)
| leq(s(X1),X0)
| leq(nbr_proc,s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223259,c_204891]) ).
tcf(c_236371,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_202427]) ).
tcf(c_236372,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_202437]) ).
tcf(c_236376,plain,
( leq(sK10(sK6,sK8),nbr_proc)
| leq(nbr_proc,s(s(s(zero))))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_223259,c_201931]) ).
tcf(c_236377,plain,
( leq(sK10(sK7,sK8),nbr_proc)
| leq(nbr_proc,s(s(s(zero))))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_223259,c_201932]) ).
tcf(c_236379,plain,
( leq(sK10(sK6,sK8),nbr_proc)
| leq(nbr_proc,s(s(host(sK8))))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_223259,c_201741]) ).
tcf(c_236380,plain,
( leq(sK10(sK7,sK8),nbr_proc)
| leq(nbr_proc,s(s(host(sK8))))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_223259,c_201742]) ).
tcf(c_236381,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X2)
| leq(nbr_proc,s(s(s(X1))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_223259,c_202048]) ).
tcf(c_236382,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_223259,c_204027]) ).
tcf(c_236383,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_223259,c_204001]) ).
tcf(c_236390,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,nbr_proc)
| leq(X1,X2)
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_223259,c_204463]) ).
tcf(c_236407,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(nbr_proc,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_223259,c_202065]) ).
tcf(c_236415,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(s(s(X0))))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_223259,c_208639]) ).
tcf(c_236460,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_223259,c_206597]) ).
tcf(c_236463,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(s(s(s(s(host(X0))))))) ),
inference(superposition,[status(thm)],[c_223259,c_202069]) ).
tcf(c_236464,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_223259,c_214522]) ).
tcf(c_236465,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_223259,c_204770]) ).
tcf(c_236472,plain,
( leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_223259,c_213049]) ).
tcf(c_236478,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_223259,c_208821]) ).
tcf(c_236482,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| ( s(s(X0)) = nbr_proc )
| ~ leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_223259,c_109]) ).
tcf(c_236483,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X2,nbr_proc)
| leq(X0,X2)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_223259,c_106]) ).
tcf(c_236485,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(host(sK8),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_223259,c_218832]) ).
tcf(c_236486,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_223259,c_203574]) ).
tcf(c_236492,plain,
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(equality_factoring,[status(thm)],[c_223259]) ).
tcf(c_236494,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(s(s(nbr_proc)),nbr_proc) ),
inference(equality_factoring,[status(thm)],[c_223259]) ).
tcf(c_236496,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(sK10(sK7,sK8),nbr_proc)
| ~ iPr_def_12 ),
inference(light_normalisation,[status(thm)],[c_236380,c_202443]) ).
tcf(c_236497,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(sK10(sK6,sK8),nbr_proc)
| ~ iPr_def_12 ),
inference(light_normalisation,[status(thm)],[c_236379,c_202443]) ).
tcf(c_236501,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(nbr_proc,s(X0)) ),
inference(light_normalisation,[status(thm)],[c_236354,c_202443]) ).
tcf(c_236604,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| ~ leq(s(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_236353,c_202443]) ).
tcf(c_236793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),
inference(superposition,[status(thm)],[c_235080,c_135]) ).
tcf(c_236794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29) != q_nil,
inference(superposition,[status(thm)],[c_235080,c_137]) ).
tcf(c_236795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29)),
inference(superposition,[status(thm)],[c_235080,c_101]) ).
tcf(c_236796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30)) ),
inference(superposition,[status(thm)],[c_235080,c_102]) ).
tcf(c_236797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30)) ),
inference(superposition,[status(thm)],[c_235080,c_103]) ).
tcf(c_236798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X0)),
inference(superposition,[status(thm)],[c_235080,c_203176]) ).
tcf(c_236799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X0))),
inference(superposition,[status(thm)],[c_235080,c_203596]) ).
tcf(c_236800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X0)))),
inference(superposition,[status(thm)],[c_235080,c_207142]) ).
tcf(c_236814,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(sK10(sK6,sK8),X1)
| ~ iPr_def_12
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_202150,c_208821]) ).
tcf(c_236817,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(sK10(sK6,sK8),X1)
| ~ iPr_def_12
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_202150,c_202047]) ).
tcf(c_236818,plain,
! [X0: $i] :
( ( sK10(sK6,sK8) = X0 )
| ~ iPr_def_12
| ~ leq(host(sK8),X0)
| ~ leq(X0,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_202150,c_109]) ).
tcf(c_236819,plain,
! [X0: $i,X1: $i] :
( leq(sK10(sK6,sK8),X1)
| ~ iPr_def_12
| ~ leq(X0,X1)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_202150,c_106]) ).
tcf(c_236820,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_12
| ~ leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_202150,c_114]) ).
tcf(c_236822,plain,
( ( s(sK10(sK6,sK8)) = nbr_proc )
| ~ iPr_def_12
| ~ leq(host(sK8),host(sK8))
| ~ leq(nbr_proc,s(sK10(sK6,sK8))) ),
inference(superposition,[status(thm)],[c_202150,c_208692]) ).
tcf(c_236827,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ iPr_def_12
| ~ iPr_def_11
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_202150,c_203775]) ).
tcf(c_236828,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_12
| ~ iPr_def_11
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_202150,c_202063]) ).
tcf(c_236829,plain,
( ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_12
| ~ iPr_def_11
| ~ leq(host(sK8),s(zero)) ),
inference(superposition,[status(thm)],[c_202150,c_202347]) ).
tcf(c_236884,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(sK10(sK7,sK8),X1)
| ~ iPr_def_12
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_202159,c_208821]) ).
tcf(c_236887,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(sK10(sK7,sK8),X1)
| ~ iPr_def_12
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_202159,c_202047]) ).
tcf(c_236888,plain,
! [X0: $i] :
( ( sK10(sK7,sK8) = X0 )
| ~ iPr_def_12
| ~ leq(host(sK8),X0)
| ~ leq(X0,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_202159,c_109]) ).
tcf(c_236889,plain,
! [X0: $i,X1: $i] :
( leq(sK10(sK7,sK8),X1)
| ~ iPr_def_12
| ~ leq(X0,X1)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_202159,c_106]) ).
tcf(c_236890,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_12
| ~ leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_202159,c_114]) ).
tcf(c_236892,plain,
( ( s(sK10(sK7,sK8)) = nbr_proc )
| ~ iPr_def_12
| ~ leq(host(sK8),host(sK8))
| ~ leq(nbr_proc,s(sK10(sK7,sK8))) ),
inference(superposition,[status(thm)],[c_202159,c_208692]) ).
tcf(c_236899,plain,
( ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_12
| ~ iPr_def_11
| ~ leq(host(sK8),s(zero)) ),
inference(superposition,[status(thm)],[c_202159,c_202348]) ).
tcf(c_236940,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(host(X0)))
| ( host(X0) = s(zero) ) ),
inference(superposition,[status(thm)],[c_208833,c_202335]) ).
tcf(c_236945,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,host(X0))
| ( host(X0) = s(zero) ) ),
inference(superposition,[status(thm)],[c_208856,c_202335]) ).
tcf(c_236952,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,host(X0))
| ( host(X0) = s(zero) ) ),
inference(superposition,[status(thm)],[c_208818,c_202335]) ).
tcf(c_236962,plain,
( ( host(sK7) = s(zero) )
| ( host(sK2) = nbr_proc )
| ~ leq(host(sK2),s(zero)) ),
inference(superposition,[status(thm)],[c_204701,c_202335]) ).
tcf(c_236990,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(host(sK8),zero)
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_233020,c_204714]) ).
tcf(c_236991,plain,
( leq(nbr_proc,s(s(s(nbr_proc))))
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_233020,c_202428]) ).
tcf(c_236993,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),s(s(nbr_proc)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233020,c_209486]) ).
tcf(c_236994,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(s(nbr_proc))))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233020,c_208821]) ).
tcf(c_236998,plain,
! [X0: $i] :
( ( s(s(nbr_proc)) = X0 )
| ~ leq(X0,zero)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_233020,c_109]) ).
tcf(c_236999,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ~ leq(X1,zero)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_233020,c_106]) ).
tcf(c_237000,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(s(nbr_proc)) = X0 )
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233020,c_114]) ).
tcf(c_237007,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(nbr_proc)))
| ~ leq(X1,X0)
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233020,c_202048]) ).
tcf(c_237009,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(nbr_proc)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233020,c_204001]) ).
tcf(c_237010,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233020,c_203735]) ).
tcf(c_237021,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_233020,c_206377]) ).
tcf(c_237022,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_233020,c_206704]) ).
tcf(c_237024,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_233020,c_210335]) ).
tcf(c_237025,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(nbr_proc)))
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_233020,c_214621]) ).
tcf(c_237026,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_233020,c_214130]) ).
tcf(c_237032,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| ~ leq(s(s(s(s(X0)))),zero) ),
inference(superposition,[status(thm)],[c_233020,c_202065]) ).
tcf(c_237054,plain,
( leq(host(sK8),s(s(nbr_proc)))
| ( host(sK2) = host(sK7) )
| ~ leq(host(sK2),zero) ),
inference(superposition,[status(thm)],[c_233020,c_202057]) ).
tcf(c_237064,plain,
~ leq(s(s(s(s(s(s(s(s(nbr_proc)))))))),zero),
inference(superposition,[status(thm)],[c_233020,c_204971]) ).
tcf(c_237111,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(s(host(X0))))))) ),
inference(superposition,[status(thm)],[c_208833,c_233815]) ).
tcf(c_237138,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(X0,host(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_233821]) ).
tcf(c_237142,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,host(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208818,c_233821]) ).
tcf(c_237163,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208833,c_234965]) ).
tcf(c_237164,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK8))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_219292,c_234965]) ).
tcf(c_237186,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(host(sK8)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_227724,c_204714]) ).
tcf(c_237187,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_227724,c_202428]) ).
tcf(c_237190,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(X1,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_227724,c_208821]) ).
tcf(c_237194,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X0,s(nbr_proc))
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_227724,c_109]) ).
tcf(c_237195,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(nbr_proc,s(X2))
| leq(X0,s(nbr_proc))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_227724,c_106]) ).
tcf(c_237196,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(s(X0),s(nbr_proc))
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_227724,c_114]) ).
tcf(c_237197,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_115]) ).
tcf(c_237200,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227724,c_233035]) ).
tcf(c_237202,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc))
| leq(host(sK8),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_208342]) ).
tcf(c_237203,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(s(X1),X0)
| leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227724,c_204891]) ).
tcf(c_237204,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(X0),nbr_proc)
| leq(host(sK8),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_202427]) ).
tcf(c_237205,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(host(sK8),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_202437]) ).
tcf(c_237208,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_227724,c_201708]) ).
tcf(c_237209,plain,
( leq(nbr_proc,s(s(zero)))
| leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),s(nbr_proc))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_227724,c_201931]) ).
tcf(c_237210,plain,
( leq(nbr_proc,s(s(zero)))
| leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),s(nbr_proc))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_227724,c_201932]) ).
tcf(c_237211,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_227724,c_201873]) ).
tcf(c_237214,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,s(nbr_proc))
| leq(nbr_proc,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_227724,c_202048]) ).
tcf(c_237215,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_204027]) ).
tcf(c_237218,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_201842]) ).
tcf(c_237219,plain,
( leq(nbr_proc,s(host(sK2)))
| leq(host(sK8),s(nbr_proc))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227724,c_202410]) ).
tcf(c_237220,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(nbr_proc,s(nbr_proc))
| leq(X1,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_227724,c_218832]) ).
tcf(c_237221,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_203574]) ).
tcf(c_237222,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_202466]) ).
tcf(c_237223,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_204463]) ).
tcf(c_237224,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(host(X1)))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_207779]) ).
tcf(c_237225,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(host(X1)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_227724,c_204994]) ).
tcf(c_237226,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_204431]) ).
tcf(c_237227,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_202051]) ).
tcf(c_237228,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_203764]) ).
tcf(c_237229,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_227724,c_206377]) ).
tcf(c_237230,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_227724,c_206704]) ).
tcf(c_237231,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_227724,c_202059]) ).
tcf(c_237232,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_227724,c_210335]) ).
tcf(c_237234,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_227724,c_214130]) ).
tcf(c_237235,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_227724,c_202061]) ).
tcf(c_237240,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_227724,c_202065]) ).
tcf(c_237248,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_202441]) ).
tcf(c_237251,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_220294]) ).
tcf(c_237253,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_203915]) ).
tcf(c_237254,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),X0)
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_202431]) ).
tcf(c_237255,plain,
( leq(host(sK8),s(nbr_proc))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_227724,c_202432]) ).
tcf(c_237256,plain,
( leq(host(sK8),s(nbr_proc))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_227724,c_202435]) ).
tcf(c_237289,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),s(X1))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_227724,c_213503]) ).
tcf(c_237290,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_227724,c_207823]) ).
tcf(c_237291,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_227724,c_205062]) ).
tcf(c_237292,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_227724,c_204492]) ).
tcf(c_237294,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_227724,c_212912]) ).
tcf(c_237295,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_227724,c_206597]) ).
tcf(c_237296,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_227724,c_204502]) ).
tcf(c_237298,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_227724,c_202069]) ).
tcf(c_237299,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_214522]) ).
tcf(c_237300,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_227724,c_204770]) ).
tcf(c_237301,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_227724,c_204971]) ).
tcf(c_237302,plain,
( leq(host(sK8),s(nbr_proc))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_227724,c_204982]) ).
tcf(c_237308,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_227724,c_211870]) ).
tcf(c_237309,plain,
( leq(host(sK8),s(nbr_proc))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_227724,c_213049]) ).
tcf(c_237315,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_227724,c_208821]) ).
tcf(c_237318,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_227724,c_202047]) ).
tcf(c_237319,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_227724,c_109]) ).
tcf(c_237321,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X0,X1)
| leq(X1,s(nbr_proc))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_227724,c_114]) ).
tcf(c_237323,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_227724,c_203574]) ).
tcf(c_237331,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(X1))
| leq(X1,host(sK8))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_227724,c_204714]) ).
tcf(c_237335,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(nbr_proc,s(X1))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_227724,c_208821]) ).
tcf(c_237339,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| ( s(nbr_proc) = X0 )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_227724,c_109]) ).
tcf(c_237340,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(nbr_proc,s(X1))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_227724,c_106]) ).
tcf(c_237341,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,X0)
| leq(nbr_proc,s(X1))
| ( s(nbr_proc) = X0 ) ),
inference(superposition,[status(thm)],[c_227724,c_114]) ).
tcf(c_237348,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,s(X2))
| leq(X0,s(nbr_proc))
| leq(X2,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_227724,c_202048]) ).
tcf(c_237350,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(nbr_proc,s(X0))
| leq(X2,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_227724,c_204001]) ).
tcf(c_237351,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_227724,c_203735]) ).
tcf(c_237353,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X0,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_227724,c_218832]) ).
tcf(c_237354,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_203574]) ).
tcf(c_237356,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(nbr_proc,s(X0))
| leq(X2,s(nbr_proc))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_227724,c_204463]) ).
tcf(c_237362,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_227724,c_206377]) ).
tcf(c_237363,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(nbr_proc,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_227724,c_206704]) ).
tcf(c_237365,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_227724,c_210335]) ).
tcf(c_237367,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(nbr_proc,s(X0))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_227724,c_214130]) ).
tcf(c_237373,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_227724,c_202065]) ).
tcf(c_237379,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(nbr_proc,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_204171]) ).
tcf(c_237389,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(host(X1),s(nbr_proc))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_227724,c_223145]) ).
tcf(c_237395,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(sK2))
| leq(host(sK8),s(nbr_proc))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227724,c_202057]) ).
tcf(c_237409,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(s(nbr_proc),s(nbr_proc)) ),
inference(equality_factoring,[status(thm)],[c_227724]) ).
tcf(c_237411,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(s(nbr_proc),s(nbr_proc)) ),
inference(equality_factoring,[status(thm)],[c_227724]) ).
tcf(c_237441,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_237187,c_202443]) ).
tcf(c_237592,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,X1)
| leq(X0,s(nbr_proc))
| ~ leq(s(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_237186,c_202443]) ).
tcf(c_237773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),
inference(superposition,[status(thm)],[c_236793,c_135]) ).
tcf(c_237774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30) != q_nil,
inference(superposition,[status(thm)],[c_236793,c_137]) ).
tcf(c_237775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30)),
inference(superposition,[status(thm)],[c_236793,c_101]) ).
tcf(c_237776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31)) ),
inference(superposition,[status(thm)],[c_236793,c_102]) ).
tcf(c_237777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31)) ),
inference(superposition,[status(thm)],[c_236793,c_103]) ).
tcf(c_237778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X0)),
inference(superposition,[status(thm)],[c_236793,c_203176]) ).
tcf(c_237779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X0))),
inference(superposition,[status(thm)],[c_236793,c_203596]) ).
tcf(c_237780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X0)))),
inference(superposition,[status(thm)],[c_236793,c_207142]) ).
tcf(c_237790,plain,
! [X0: $i] :
( ordered(snoc(queue(host(sK2)),m_Ldr(X0)))
| ~ ordered(cons(m_Ack(sK2,sK3),sK0)) ),
inference(superposition,[status(thm)],[c_203174,c_203178]) ).
tcf(c_237791,plain,
! [X0: $i,X1: $i] :
( ordered(snoc(snoc(queue(host(sK2)),X0),m_Ldr(X1)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(sK0,X0))) ),
inference(superposition,[status(thm)],[c_203428,c_203178]) ).
tcf(c_237792,plain,
! [X0: $i,X1: $i,X2: $i] :
( ordered(snoc(snoc(snoc(queue(host(sK2)),X0),X1),m_Ldr(X2)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(sK0,X0),X1))) ),
inference(superposition,[status(thm)],[c_203651,c_203178]) ).
tcf(c_237793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ordered(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),m_Ldr(X3)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(sK0,X0),X1),X2))) ),
inference(superposition,[status(thm)],[c_204394,c_203178]) ).
tcf(c_237794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),m_Ldr(X4)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3))) ),
inference(superposition,[status(thm)],[c_204939,c_203178]) ).
tcf(c_237795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),m_Ldr(X5)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4))) ),
inference(superposition,[status(thm)],[c_206869,c_203178]) ).
tcf(c_237796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),m_Ldr(X6)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5))) ),
inference(superposition,[status(thm)],[c_207712,c_203178]) ).
tcf(c_237797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),m_Ldr(X7)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6))) ),
inference(superposition,[status(thm)],[c_208291,c_203178]) ).
tcf(c_237798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),m_Ldr(X8)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7))) ),
inference(superposition,[status(thm)],[c_208764,c_203178]) ).
tcf(c_237799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),m_Ldr(X9)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8))) ),
inference(superposition,[status(thm)],[c_210312,c_203178]) ).
tcf(c_237800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),m_Ldr(X10)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9))) ),
inference(superposition,[status(thm)],[c_210751,c_203178]) ).
tcf(c_237801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),m_Ldr(X11)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10))) ),
inference(superposition,[status(thm)],[c_211270,c_203178]) ).
tcf(c_237802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),m_Ldr(X12)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11))) ),
inference(superposition,[status(thm)],[c_212794,c_203178]) ).
tcf(c_237803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),m_Ldr(X13)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12))) ),
inference(superposition,[status(thm)],[c_213480,c_203178]) ).
tcf(c_237804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),m_Ldr(X14)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13))) ),
inference(superposition,[status(thm)],[c_214415,c_203178]) ).
tcf(c_237805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),m_Ldr(X15)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14))) ),
inference(superposition,[status(thm)],[c_215536,c_203178]) ).
tcf(c_237806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),m_Ldr(X16)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15))) ),
inference(superposition,[status(thm)],[c_216043,c_203178]) ).
tcf(c_237807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),m_Ldr(X17)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16))) ),
inference(superposition,[status(thm)],[c_216786,c_203178]) ).
tcf(c_237808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),m_Ldr(X18)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17))) ),
inference(superposition,[status(thm)],[c_217845,c_203178]) ).
tcf(c_237809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),m_Ldr(X19)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18))) ),
inference(superposition,[status(thm)],[c_218708,c_203178]) ).
tcf(c_237810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),m_Ldr(X20)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19))) ),
inference(superposition,[status(thm)],[c_219786,c_203178]) ).
tcf(c_237811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),m_Ldr(X21)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20))) ),
inference(superposition,[status(thm)],[c_220854,c_203178]) ).
tcf(c_237812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),m_Ldr(X22)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21))) ),
inference(superposition,[status(thm)],[c_221987,c_203178]) ).
tcf(c_237813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),m_Ldr(X23)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22))) ),
inference(superposition,[status(thm)],[c_223902,c_203178]) ).
tcf(c_237814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),m_Ldr(X24)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23))) ),
inference(superposition,[status(thm)],[c_224636,c_203178]) ).
tcf(c_237815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),m_Ldr(X25)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24))) ),
inference(superposition,[status(thm)],[c_225949,c_203178]) ).
tcf(c_237816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),m_Ldr(X26)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25))) ),
inference(superposition,[status(thm)],[c_228568,c_203178]) ).
tcf(c_237817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),m_Ldr(X27)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26))) ),
inference(superposition,[status(thm)],[c_230475,c_203178]) ).
tcf(c_237818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),m_Ldr(X28)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27))) ),
inference(superposition,[status(thm)],[c_232876,c_203178]) ).
tcf(c_237819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),m_Ldr(X29)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28))) ),
inference(superposition,[status(thm)],[c_235080,c_203178]) ).
tcf(c_237820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),m_Ldr(X30)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29))) ),
inference(superposition,[status(thm)],[c_236793,c_203178]) ).
tcf(c_237821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ordered(cons(X0,cons(X1,snoc(X2,m_Ldr(X3)))))
| ~ ordered(cons(X0,cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_135,c_203178]) ).
tcf(c_237822,plain,
! [X0: $i,X1: $i] :
( ordered(cons(X0,cons(m_Ldr(X1),q_nil)))
| ~ ordered(cons(X0,q_nil)) ),
inference(superposition,[status(thm)],[c_136,c_203178]) ).
tcf(c_237823,plain,
! [X0: $i,X1: $i] : ordered(cons(X0,cons(m_Ldr(X1),q_nil))),
inference(forward_subsumption_resolution,[status(thm)],[c_237822,c_138]) ).
tcf(c_237824,plain,
! [X0: $i] :
( ordered(snoc(queue(host(sK2)),m_Ldr(X0)))
| ~ ordered(queue(host(sK2))) ),
inference(light_normalisation,[status(thm)],[c_237790,c_201155]) ).
tcf(c_237829,plain,
! [X0: $i,X1: $i] :
( ordered(snoc(snoc(queue(host(sK2)),X0),m_Ldr(X1)))
| ~ ordered(snoc(queue(host(sK2)),X0)) ),
inference(light_normalisation,[status(thm)],[c_237791,c_203174]) ).
tcf(c_237832,plain,
! [X0: $i,X1: $i,X2: $i] :
( ordered(snoc(snoc(snoc(queue(host(sK2)),X0),X1),m_Ldr(X2)))
| ~ ordered(snoc(snoc(queue(host(sK2)),X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_237792,c_203428]) ).
tcf(c_237835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ordered(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),m_Ldr(X3)))
| ~ ordered(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2)) ),
inference(light_normalisation,[status(thm)],[c_237793,c_203651]) ).
tcf(c_237838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),m_Ldr(X4)))
| ~ ordered(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3)) ),
inference(light_normalisation,[status(thm)],[c_237794,c_204394]) ).
tcf(c_237841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),m_Ldr(X5)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4)) ),
inference(light_normalisation,[status(thm)],[c_237795,c_204939]) ).
tcf(c_237844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),m_Ldr(X6)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5)) ),
inference(light_normalisation,[status(thm)],[c_237796,c_206869]) ).
tcf(c_237847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),m_Ldr(X7)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6)) ),
inference(light_normalisation,[status(thm)],[c_237797,c_207712]) ).
tcf(c_237850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),m_Ldr(X8)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7)) ),
inference(light_normalisation,[status(thm)],[c_237798,c_208291]) ).
tcf(c_237853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),m_Ldr(X9)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8)) ),
inference(light_normalisation,[status(thm)],[c_237799,c_208764]) ).
tcf(c_237856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),m_Ldr(X10)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9)) ),
inference(light_normalisation,[status(thm)],[c_237800,c_210312]) ).
tcf(c_237859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),m_Ldr(X11)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10)) ),
inference(light_normalisation,[status(thm)],[c_237801,c_210751]) ).
tcf(c_237862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),m_Ldr(X12)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11)) ),
inference(light_normalisation,[status(thm)],[c_237802,c_211270]) ).
tcf(c_237865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),m_Ldr(X13)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12)) ),
inference(light_normalisation,[status(thm)],[c_237803,c_212794]) ).
tcf(c_237868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),m_Ldr(X14)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13)) ),
inference(light_normalisation,[status(thm)],[c_237804,c_213480]) ).
tcf(c_237871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),m_Ldr(X15)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14)) ),
inference(light_normalisation,[status(thm)],[c_237805,c_214415]) ).
tcf(c_237874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),m_Ldr(X16)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15)) ),
inference(light_normalisation,[status(thm)],[c_237806,c_215536]) ).
tcf(c_237877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),m_Ldr(X17)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16)) ),
inference(light_normalisation,[status(thm)],[c_237807,c_216043]) ).
tcf(c_237880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),m_Ldr(X18)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17)) ),
inference(light_normalisation,[status(thm)],[c_237808,c_216786]) ).
tcf(c_237883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),m_Ldr(X19)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18)) ),
inference(light_normalisation,[status(thm)],[c_237809,c_217845]) ).
tcf(c_237886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),m_Ldr(X20)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19)) ),
inference(light_normalisation,[status(thm)],[c_237810,c_218708]) ).
tcf(c_237889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),m_Ldr(X21)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20)) ),
inference(light_normalisation,[status(thm)],[c_237811,c_219786]) ).
tcf(c_237892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),m_Ldr(X22)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21)) ),
inference(light_normalisation,[status(thm)],[c_237812,c_220854]) ).
tcf(c_237895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),m_Ldr(X23)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22)) ),
inference(light_normalisation,[status(thm)],[c_237813,c_221987]) ).
tcf(c_237898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),m_Ldr(X24)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23)) ),
inference(light_normalisation,[status(thm)],[c_237814,c_223902]) ).
tcf(c_237901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),m_Ldr(X25)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24)) ),
inference(light_normalisation,[status(thm)],[c_237815,c_224636]) ).
tcf(c_237904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),m_Ldr(X26)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25)) ),
inference(light_normalisation,[status(thm)],[c_237816,c_225949]) ).
tcf(c_237907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),m_Ldr(X27)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26)) ),
inference(light_normalisation,[status(thm)],[c_237817,c_228568]) ).
tcf(c_237910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),m_Ldr(X28)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27)) ),
inference(light_normalisation,[status(thm)],[c_237818,c_230475]) ).
tcf(c_237913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),m_Ldr(X29)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28)) ),
inference(light_normalisation,[status(thm)],[c_237819,c_232876]) ).
tcf(c_237916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),m_Ldr(X30)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29)) ),
inference(light_normalisation,[status(thm)],[c_237820,c_235080]) ).
tcf(c_238017,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,host(sK8))
| ( s(host(sK8)) = X0 ) ),
inference(superposition,[status(thm)],[c_202443,c_203458]) ).
tcf(c_238019,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X0)
| leq(s(X0),nbr_proc)
| leq(host(X2),X1)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_209486]) ).
tcf(c_238020,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X0)
| leq(X2,s(X1))
| leq(s(X0),X2)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_208821]) ).
tcf(c_238025,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(s(X2),X1)
| ( s(X2) = X0 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_203458,c_106]) ).
tcf(c_238026,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),X0)
| leq(s(X0),X1)
| ( s(X0) = s(X1) ) ),
inference(superposition,[status(thm)],[c_203458,c_114]) ).
tcf(c_238029,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(s(X1),X0)
| ( s(X1) = host(sK8) )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203458,c_233035]) ).
tcf(c_238030,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( s(X0) = host(sK8) )
| ( s(s(X0)) = nbr_proc )
| ~ leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_203458,c_208692]) ).
tcf(c_238032,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(s(s(X1)),X0)
| ( s(X1) = host(sK8) )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203458,c_204891]) ).
tcf(c_238033,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(s(s(X0)),nbr_proc)
| ( s(X0) = host(sK8) ) ),
inference(superposition,[status(thm)],[c_203458,c_202427]) ).
tcf(c_238041,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| ( s(X1) = X2 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_203458,c_202048]) ).
tcf(c_238042,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(X1,X0)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_204027]) ).
tcf(c_238043,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X1,X0)
| leq(X0,X2)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_204001]) ).
tcf(c_238050,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(s(X0)))
| ( s(s(s(X0))) = X1 )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203458,c_214621]) ).
tcf(c_238051,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,s(s(X0)))
| ( s(s(s(X0))) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_214130]) ).
tcf(c_238053,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(s(X0))))
| ( s(s(s(s(X0)))) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_202065]) ).
tcf(c_238054,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_203458,c_208639]) ).
tcf(c_238056,plain,
( leq(host(sK8),s(s(nbr_proc)))
| ( s(s(s(nbr_proc))) = host(sK8) ) ),
inference(superposition,[status(thm)],[c_203458,c_202432]) ).
tcf(c_238057,plain,
( leq(host(sK8),s(nbr_proc))
| ( s(s(nbr_proc)) = host(sK8) ) ),
inference(superposition,[status(thm)],[c_203458,c_202435]) ).
tcf(c_238060,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(X1,X0)
| ( s(nbr_proc) = X0 ) ),
inference(superposition,[status(thm)],[c_203458,c_204171]) ).
tcf(c_238064,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X1),s(X0))
| ( s(s(nbr_proc)) = X0 ) ),
inference(superposition,[status(thm)],[c_203458,c_224023]) ).
tcf(c_238091,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(host(X0)))
| ( s(s(host(X0))) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_212912]) ).
tcf(c_238092,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(host(X0)))
| ( s(s(host(X0))) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_206597]) ).
tcf(c_238095,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(host(X0))))
| ( s(s(s(host(X0)))) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_202069]) ).
tcf(c_238096,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X0)
| ( s(X0) = host(sK8) ) ),
inference(superposition,[status(thm)],[c_203458,c_214522]) ).
tcf(c_238099,plain,
( leq(host(sK8),s(s(s(nbr_proc))))
| ( s(s(s(s(nbr_proc)))) = host(sK8) ) ),
inference(superposition,[status(thm)],[c_203458,c_204982]) ).
tcf(c_238106,plain,
( leq(host(sK8),s(s(s(s(nbr_proc)))))
| ( s(s(s(s(s(nbr_proc))))) = host(sK8) ) ),
inference(superposition,[status(thm)],[c_203458,c_213049]) ).
tcf(c_238112,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,host(sK8))
| ( X0 = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238017,c_202443]) ).
tcf(c_238228,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(s(X0)) = host(sK8) )
| ~ leq(s(s(X0)),host(sK8)) ),
inference(superposition,[status(thm)],[c_206992,c_109]) ).
tcf(c_238229,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_206992,c_106]) ).
tcf(c_238230,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(X0))
| ( s(s(X0)) = host(sK8) ) ),
inference(superposition,[status(thm)],[c_206992,c_114]) ).
tcf(c_238337,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_207034,c_208821]) ).
tcf(c_238341,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(s(s(X0))) = zero )
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_207034,c_109]) ).
tcf(c_238342,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,s(nbr_proc))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_207034,c_106]) ).
tcf(c_238364,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ~ leq(s(s(s(s(s(s(host(X0))))))),X1) ),
inference(superposition,[status(thm)],[c_207312,c_106]) ).
tcf(c_238374,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(host(sK2)))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_207313]) ).
tcf(c_238383,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| ( s(s(X0)) = zero )
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_207313,c_109]) ).
tcf(c_238384,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X0,s(host(X2)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207313,c_106]) ).
tcf(c_238386,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,s(s(host(sK8))))
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_207313,c_204714]) ).
tcf(c_238387,plain,
! [X0: $i] :
( leq(zero,s(s(host(sK8))))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_207313,c_202428]) ).
tcf(c_238389,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(zero,s(s(X2)))
| leq(host(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_207313,c_209486]) ).
tcf(c_238390,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(s(X2)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_207313,c_208821]) ).
tcf(c_238394,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X1)))
| ( s(host(X0)) = X1 )
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_207313,c_109]) ).
tcf(c_238395,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(zero,s(s(X2)))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_207313,c_106]) ).
tcf(c_238396,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(X0))
| leq(zero,s(s(X1)))
| ( s(host(X0)) = X1 ) ),
inference(superposition,[status(thm)],[c_207313,c_114]) ).
tcf(c_238403,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(host(X2)))
| leq(zero,s(s(s(X1))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207313,c_202048]) ).
tcf(c_238404,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(host(X1)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207313,c_204027]) ).
tcf(c_238405,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,s(host(X2)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207313,c_204001]) ).
tcf(c_238420,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(host(X1))))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_207313,c_210335]) ).
tcf(c_238422,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(X1)))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_207313,c_214130]) ).
tcf(c_238428,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| leq(zero,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_207313,c_202065]) ).
tcf(c_238450,plain,
! [X0: $i] :
( leq(zero,s(s(host(sK2))))
| leq(host(sK8),s(host(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_207313,c_202057]) ).
tcf(c_238462,plain,
! [X0: $i] :
( leq(zero,s(nbr_proc))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(light_normalisation,[status(thm)],[c_238387,c_202443]) ).
tcf(c_238494,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,s(nbr_proc))
| ~ leq(s(s(host(X0))),X1) ),
inference(light_normalisation,[status(thm)],[c_238386,c_202443]) ).
tcf(c_238518,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,host(sK8))
| ( host(sK8) = nbr_proc )
| ~ leq(s(host(sK8)),X0) ),
inference(superposition,[status(thm)],[c_238112,c_204714]) ).
tcf(c_238519,plain,
( leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(host(sK8)))
| ( host(sK8) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_202428]) ).
tcf(c_238520,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(zero,s(host(sK8)))
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_211410]) ).
tcf(c_238521,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(host(X1),host(sK8))
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_209486]) ).
tcf(c_238522,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X0,X1)
| leq(X1,s(host(sK8)))
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_208821]) ).
tcf(c_238523,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(s(zero),host(sK8))
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_205100]) ).
tcf(c_238524,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(zero,host(sK8))
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_203571]) ).
tcf(c_238525,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X0,X1)
| leq(X1,host(sK8))
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_202047]) ).
tcf(c_238526,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ( X0 = nbr_proc )
| ( host(sK8) = X0 )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_238112,c_109]) ).
tcf(c_238527,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,X0)
| ( X1 = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_238112,c_106]) ).
tcf(c_238530,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,X0)
| ( X1 = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_238112,c_233035]) ).
tcf(c_238531,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ( X0 = nbr_proc )
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_238112,c_208692]) ).
tcf(c_238532,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(nbr_proc))
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_208342]) ).
tcf(c_238533,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(s(X1),X0)
| ( X1 = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_238112,c_204891]) ).
tcf(c_238534,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(X0),nbr_proc)
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_202427]) ).
tcf(c_238535,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_202437]) ).
tcf(c_238536,plain,
( leq(nbr_proc,s(s(host(sK8))))
| ( s(s(host(sK8))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_201589]) ).
tcf(c_238537,plain,
( leq(nbr_proc,s(s(s(host(sK8)))))
| ( s(s(s(host(sK8)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_201594]) ).
tcf(c_238538,plain,
( leq(nbr_proc,s(s(s(s(host(sK8))))))
| ( s(s(s(s(host(sK8))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_201708]) ).
tcf(c_238539,plain,
( leq(nbr_proc,s(s(s(s(s(host(sK8)))))))
| ( s(s(s(s(s(host(sK8)))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_201873]) ).
tcf(c_238540,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X0,host(sK8))
| ( s(X1) = nbr_proc )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_238112,c_202048]) ).
tcf(c_238541,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_204027]) ).
tcf(c_238542,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(nbr_proc,s(X0))
| leq(X1,host(sK8))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_204001]) ).
tcf(c_238543,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(host(sK8)))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_203735]) ).
tcf(c_238549,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(nbr_proc,host(X0))
| leq(X1,host(sK8))
| ( host(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_204463]) ).
tcf(c_238550,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| leq(zero,s(s(host(sK8))))
| ( host(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_207779]) ).
tcf(c_238551,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| leq(s(zero),s(host(sK8)))
| ( host(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_204994]) ).
tcf(c_238552,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| leq(zero,s(host(sK8)))
| ( host(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_204431]) ).
tcf(c_238553,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| leq(s(zero),host(sK8))
| ( host(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_202051]) ).
tcf(c_238554,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,host(X0))
| ( host(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_203764]) ).
tcf(c_238555,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(host(sK8)))
| ( s(s(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_206377]) ).
tcf(c_238556,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(X0)))
| ( s(s(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_206704]) ).
tcf(c_238558,plain,
! [X0: $i] :
( leq(X0,s(host(sK8)))
| leq(nbr_proc,s(s(s(X0))))
| ( s(s(s(X0))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_210335]) ).
tcf(c_238559,plain,
! [X0: $i] :
( leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(s(X0))))
| ( s(s(s(X0))) = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_238112,c_214621]) ).
tcf(c_238560,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(s(X0))))
| ( s(s(s(X0))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_214130]) ).
tcf(c_238562,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,sK10(sK6,sK8))
| ( sK10(sK6,sK8) = nbr_proc )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_238112,c_203775]) ).
tcf(c_238563,plain,
( leq(nbr_proc,sK10(sK6,sK8))
| leq(s(zero),host(sK8))
| ( sK10(sK6,sK8) = nbr_proc )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_238112,c_202063]) ).
tcf(c_238564,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,sK10(sK7,sK8))
| ( sK10(sK7,sK8) = nbr_proc )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_238112,c_203787]) ).
tcf(c_238565,plain,
( leq(nbr_proc,sK10(sK7,sK8))
| leq(s(zero),host(sK8))
| ( sK10(sK7,sK8) = nbr_proc )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_238112,c_202064]) ).
tcf(c_238570,plain,
( leq(nbr_proc,s(s(s(nbr_proc))))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_202432]) ).
tcf(c_238571,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_202435]) ).
tcf(c_238572,plain,
( leq(nbr_proc,s(nbr_proc))
| ( s(nbr_proc) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_202438]) ).
tcf(c_238573,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(host(X0),host(sK8))
| ( s(nbr_proc) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_223710]) ).
tcf(c_238574,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8))
| ( s(nbr_proc) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_204171]) ).
tcf(c_238575,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(s(zero),host(sK8))
| ( s(nbr_proc) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_205039]) ).
tcf(c_238576,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(zero,s(host(sK8)))
| ( s(nbr_proc) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_203974]) ).
tcf(c_238577,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(zero,host(sK8))
| ( s(nbr_proc) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_202066]) ).
tcf(c_238578,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),s(host(sK8)))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_224023]) ).
tcf(c_238579,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),s(host(sK8)))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_213643]) ).
tcf(c_238580,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),host(sK8))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_223104]) ).
tcf(c_238581,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(zero,s(host(sK8)))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_206889]) ).
tcf(c_238582,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),host(sK8))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_205087]) ).
tcf(c_238583,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(nbr_proc)))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_202067]) ).
tcf(c_238584,plain,
! [X0: $i] :
( leq(host(X0),host(sK8))
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_223145]) ).
tcf(c_238585,plain,
( leq(zero,s(host(sK8)))
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_210420]) ).
tcf(c_238586,plain,
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_206606]) ).
tcf(c_238587,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_202068]) ).
tcf(c_238588,plain,
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( s(s(s(s(nbr_proc)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_202070]) ).
tcf(c_238589,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( s(s(s(s(nbr_proc)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_203989]) ).
tcf(c_238591,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(X0)))
| leq(s(zero),s(host(sK8)))
| ( s(host(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_213503]) ).
tcf(c_238592,plain,
! [X0: $i] :
( leq(zero,s(host(sK8)))
| leq(nbr_proc,s(host(X0)))
| ( s(host(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_207823]) ).
tcf(c_238593,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(host(X0)))
| ( s(host(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_205062]) ).
tcf(c_238594,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(host(X0)))
| ( s(host(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_204492]) ).
tcf(c_238595,plain,
! [X0: $i] :
( leq(zero,s(host(sK8)))
| leq(nbr_proc,s(s(host(X0))))
| ( s(s(host(X0))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_212912]) ).
tcf(c_238596,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(host(X0))))
| ( s(s(host(X0))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_206597]) ).
tcf(c_238597,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(host(X0))))
| ( s(s(host(X0))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_204502]) ).
tcf(c_238598,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(host(X0)))))
| ( s(s(s(host(X0)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_202069]) ).
tcf(c_238599,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_214522]) ).
tcf(c_238600,plain,
( leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| ( s(s(s(s(s(nbr_proc))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_204770]) ).
tcf(c_238601,plain,
( leq(nbr_proc,s(s(s(s(s(s(host(sK8))))))))
| ( s(s(s(s(s(s(host(sK8))))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_204971]) ).
tcf(c_238602,plain,
( leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( s(s(s(s(nbr_proc)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_204982]) ).
tcf(c_238603,plain,
( leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc)))))))
| ( s(s(s(s(s(s(nbr_proc)))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_211870]) ).
tcf(c_238604,plain,
( leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| ( s(s(s(s(s(nbr_proc))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_213049]) ).
tcf(c_238619,plain,
( leq(zero,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| ( s(nbr_proc) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238576,c_202443]) ).
tcf(c_238620,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,host(X0))
| ( host(X0) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238552,c_202443]) ).
tcf(c_238621,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| ( s(X0) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238543,c_202443]) ).
tcf(c_238633,plain,
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,host(sK8))
| ( host(sK8) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238519,c_202443]) ).
tcf(c_238634,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| leq(nbr_proc,host(X0))
| ( host(X0) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238551,c_202443]) ).
tcf(c_238635,plain,
! [X0: $i] :
( leq(zero,s(nbr_proc))
| leq(nbr_proc,host(X0))
| ( host(X0) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238550,c_202443]) ).
tcf(c_238645,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,X1)
| ( X0 = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238522,c_202443]) ).
tcf(c_238654,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| ( X0 = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238520,c_202443]) ).
tcf(c_238655,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(host(X0)))
| ( s(host(X0)) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238592,c_202443]) ).
tcf(c_238656,plain,
( leq(zero,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238581,c_202443]) ).
tcf(c_238657,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| ( s(s(X0)) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238555,c_202443]) ).
tcf(c_238669,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(host(X0)))
| ( s(host(X0)) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238591,c_202443]) ).
tcf(c_238670,plain,
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238579,c_202443]) ).
tcf(c_238671,plain,
! [X0: $i] :
( leq(host(X0),nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238578,c_202443]) ).
tcf(c_238685,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(s(host(X0))))
| ( s(s(host(X0))) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238595,c_202443]) ).
tcf(c_238686,plain,
( leq(zero,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238585,c_202443]) ).
tcf(c_238687,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(X0))))
| ( s(s(s(X0))) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_238558,c_202443]) ).
tcf(c_238696,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| ( s(s(s(X0))) = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238559,c_202441]) ).
tcf(c_238724,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_238645,c_54023]) ).
tcf(c_238740,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(s(X0),nbr_proc)
| leq(nbr_proc,s(host(sK8)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_227726,c_204714]) ).
tcf(c_238741,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(X0),nbr_proc)
| leq(nbr_proc,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_227726,c_202428]) ).
tcf(c_238742,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(zero,s(X0))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_211410]) ).
tcf(c_238743,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(nbr_proc,s(X2))
| leq(s(X1),nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_227726,c_209486]) ).
tcf(c_238744,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(s(X1),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_227726,c_208821]) ).
tcf(c_238746,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_203571]) ).
tcf(c_238747,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(nbr_proc,s(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_202047]) ).
tcf(c_238748,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(s(X0),nbr_proc)
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_227726,c_109]) ).
tcf(c_238749,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(nbr_proc,s(X2))
| leq(s(X0),nbr_proc)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_227726,c_106]) ).
tcf(c_238750,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(s(s(X0)),nbr_proc)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_227726,c_114]) ).
tcf(c_238751,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_115]) ).
tcf(c_238752,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_117]) ).
tcf(c_238754,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(s(host(sK8)),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227726,c_233035]) ).
tcf(c_238756,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc))
| leq(s(host(sK8)),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_208342]) ).
tcf(c_238757,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(s(X1),X0)
| leq(s(host(sK8)),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227726,c_204891]) ).
tcf(c_238758,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(X0),nbr_proc)
| leq(s(host(sK8)),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_202427]) ).
tcf(c_238759,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(s(host(sK8)),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_202437]) ).
tcf(c_238760,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_227726,c_201589]) ).
tcf(c_238761,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_227726,c_201594]) ).
tcf(c_238762,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_227726,c_201708]) ).
tcf(c_238763,plain,
( leq(nbr_proc,s(s(zero)))
| leq(host(sK8),sK10(sK6,sK8))
| leq(s(sK10(sK6,sK8)),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_227726,c_201931]) ).
tcf(c_238764,plain,
( leq(nbr_proc,s(s(zero)))
| leq(host(sK8),sK10(sK7,sK8))
| leq(s(sK10(sK7,sK8)),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_227726,c_201932]) ).
tcf(c_238765,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_227726,c_201873]) ).
tcf(c_238768,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(s(X2),nbr_proc)
| leq(nbr_proc,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_227726,c_202048]) ).
tcf(c_238769,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_204027]) ).
tcf(c_238770,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_204001]) ).
tcf(c_238771,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_203735]) ).
tcf(c_238773,plain,
( leq(nbr_proc,s(host(sK2)))
| leq(s(host(sK8)),nbr_proc)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227726,c_202410]) ).
tcf(c_238774,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_218832]) ).
tcf(c_238777,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_204463]) ).
tcf(c_238778,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(nbr_proc,s(host(X1)))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_207779]) ).
tcf(c_238779,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(nbr_proc,s(host(X1)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_227726,c_204994]) ).
tcf(c_238780,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_204431]) ).
tcf(c_238781,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_202051]) ).
tcf(c_238782,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_203764]) ).
tcf(c_238783,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_227726,c_206377]) ).
tcf(c_238784,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_227726,c_206704]) ).
tcf(c_238786,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_227726,c_210335]) ).
tcf(c_238788,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_227726,c_214130]) ).
tcf(c_238789,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_227726,c_202061]) ).
tcf(c_238794,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_227726,c_202065]) ).
tcf(c_238799,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(s(host(X0)),nbr_proc)
| ( host(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_227726,c_202336]) ).
tcf(c_238800,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(s(host(X0)),nbr_proc)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227726,c_203951]) ).
tcf(c_238802,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(s(host(sK8)),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_202441]) ).
tcf(c_238805,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_220294]) ).
tcf(c_238806,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(s(zero),X0)
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_207255]) ).
tcf(c_238807,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_203915]) ).
tcf(c_238808,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),X0)
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_202431]) ).
tcf(c_238809,plain,
( leq(s(host(sK8)),nbr_proc)
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_227726,c_202432]) ).
tcf(c_238810,plain,
( leq(s(host(sK8)),nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_227726,c_202435]) ).
tcf(c_238811,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(s(host(sK8)),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_202438]) ).
tcf(c_238813,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(host(X0),X1)
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_227726,c_223710]) ).
tcf(c_238816,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_227726,c_203974]) ).
tcf(c_238818,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(host(X0),s(X1))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_227726,c_224023]) ).
tcf(c_238819,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),s(X0))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_227726,c_213643]) ).
tcf(c_238820,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(host(X0),X1)
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_227726,c_223104]) ).
tcf(c_238821,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_227726,c_206889]) ).
tcf(c_238824,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(host(X0),X1)
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_227726,c_223145]) ).
tcf(c_238825,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_227726,c_210420]) ).
tcf(c_238843,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(s(zero),s(X1))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_227726,c_213503]) ).
tcf(c_238844,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_227726,c_207823]) ).
tcf(c_238845,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_227726,c_205062]) ).
tcf(c_238846,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_227726,c_204492]) ).
tcf(c_238848,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_227726,c_212912]) ).
tcf(c_238849,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_227726,c_206597]) ).
tcf(c_238850,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_227726,c_204502]) ).
tcf(c_238852,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_227726,c_202069]) ).
tcf(c_238853,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(host(sK8)),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_214522]) ).
tcf(c_238854,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_227726,c_204770]) ).
tcf(c_238855,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_227726,c_204971]) ).
tcf(c_238856,plain,
( leq(s(host(sK8)),nbr_proc)
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_227726,c_204982]) ).
tcf(c_238862,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_227726,c_211870]) ).
tcf(c_238863,plain,
( leq(s(host(sK8)),nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_227726,c_213049]) ).
tcf(c_238865,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(sK7)))
| leq(s(host(X0)),nbr_proc)
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227726,c_206837]) ).
tcf(c_238869,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X1,X2)
| leq(s(X2),nbr_proc)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_227726,c_208821]) ).
tcf(c_238872,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X1,X2)
| leq(s(X2),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_227726,c_202047]) ).
tcf(c_238873,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_109]) ).
tcf(c_238875,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X0,X1)
| leq(s(X1),nbr_proc)
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_227726,c_114]) ).
tcf(c_238877,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,X2)
| leq(s(X2),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_227726,c_203574]) ).
tcf(c_238887,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(X1,s(nbr_proc))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_227726,c_208821]) ).
tcf(c_238890,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_227726,c_202047]) ).
tcf(c_238911,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_227726,c_208639]) ).
tcf(c_238943,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(s(s(nbr_proc)),nbr_proc) ),
inference(equality_factoring,[status(thm)],[c_227726]) ).
tcf(c_238944,plain,
( leq(s(nbr_proc),nbr_proc)
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(equality_factoring,[status(thm)],[c_227726]) ).
tcf(c_238951,plain,
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(light_normalisation,[status(thm)],[c_238810,c_202443]) ).
tcf(c_238976,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(s(X0),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_238758,c_202443]) ).
tcf(c_238994,plain,
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(light_normalisation,[status(thm)],[c_238863,c_202443]) ).
tcf(c_238997,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(light_normalisation,[status(thm)],[c_238853,c_202443]) ).
tcf(c_239089,plain,
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(light_normalisation,[status(thm)],[c_238773,c_202443]) ).
tcf(c_239094,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X1,X0)
| leq(nbr_proc,s(X1))
| ~ leq(nbr_proc,X0) ),
inference(light_normalisation,[status(thm)],[c_238754,c_202443]) ).
tcf(c_239111,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(light_normalisation,[status(thm)],[c_238757,c_202443]) ).
tcf(c_239116,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,X1)
| leq(s(X0),nbr_proc)
| ~ leq(s(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_238740,c_202443]) ).
tcf(c_239230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),
inference(superposition,[status(thm)],[c_237773,c_135]) ).
tcf(c_239231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31) != q_nil,
inference(superposition,[status(thm)],[c_237773,c_137]) ).
tcf(c_239232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31)),
inference(superposition,[status(thm)],[c_237773,c_101]) ).
tcf(c_239233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32)) ),
inference(superposition,[status(thm)],[c_237773,c_102]) ).
tcf(c_239234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32)) ),
inference(superposition,[status(thm)],[c_237773,c_103]) ).
tcf(c_239235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X0)),
inference(superposition,[status(thm)],[c_237773,c_203176]) ).
tcf(c_239236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),m_Ldr(X31)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30))) ),
inference(superposition,[status(thm)],[c_237773,c_203178]) ).
tcf(c_239237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X0))),
inference(superposition,[status(thm)],[c_237773,c_203596]) ).
tcf(c_239238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X0)))),
inference(superposition,[status(thm)],[c_237773,c_207142]) ).
tcf(c_239241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),m_Ldr(X31)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30)) ),
inference(light_normalisation,[status(thm)],[c_239236,c_236793]) ).
tcf(c_239317,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X1)
| leq(s(X1),X2)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_223259,c_203670]) ).
tcf(c_239318,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X2,s(nbr_proc))
| leq(s(X1),X2)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_203670]) ).
tcf(c_239319,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X1)
| leq(s(X1),X2)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_222536,c_203670]) ).
tcf(c_239320,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(zero,s(X2))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208857,c_203670]) ).
tcf(c_239325,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(s(X2),nbr_proc)
| leq(s(X1),X2)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_203670]) ).
tcf(c_239326,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X2,s(nbr_proc))
| leq(s(X1),X2)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_203670]) ).
tcf(c_239327,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(s(X2),nbr_proc)
| leq(s(X1),X2)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_203670]) ).
tcf(c_239328,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X2,host(sK8))
| leq(s(X1),X2)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_203670]) ).
tcf(c_239329,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(X1,host(sK8))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_219292,c_203670]) ).
tcf(c_239331,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(X1,host(sK8))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_211595,c_203670]) ).
tcf(c_239332,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_230102,c_203670]) ).
tcf(c_239333,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(X1,host(sK8))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208856,c_203670]) ).
tcf(c_239334,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(nbr_proc,s(s(X2)))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208028,c_203670]) ).
tcf(c_239336,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(X2))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_203736,c_203670]) ).
tcf(c_239337,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(s(X2),s(X1))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_203670]) ).
tcf(c_239338,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_201841,c_203670]) ).
tcf(c_239339,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(s(X2),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_203670]) ).
tcf(c_239342,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_201161,c_203670]) ).
tcf(c_239343,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(nbr_proc,s(X0))
| leq(s(X1),host(sK8))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_203670]) ).
tcf(c_239344,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(nbr_proc,s(X1))
| leq(X1,s(X2))
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_203670]) ).
tcf(c_239345,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(X1,s(X2))
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_203670]) ).
tcf(c_239346,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),host(sK8))
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_203670]) ).
tcf(c_239348,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_201592,c_203670]) ).
tcf(c_239349,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(X0),s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_201706,c_203670]) ).
tcf(c_239350,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201662,c_203670]) ).
tcf(c_239351,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201663,c_203670]) ).
tcf(c_239352,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(X0),s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_201871,c_203670]) ).
tcf(c_239353,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X0)
| leq(X0,X2)
| leq(s(X2),X1)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_203670]) ).
tcf(c_239355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X1,X2)
| leq(X2,s(X3))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208818,c_203670]) ).
tcf(c_239356,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,X2)
| leq(s(X2),host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_203670]) ).
tcf(c_239357,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X1,X2)
| leq(s(X2),host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_203670]) ).
tcf(c_239359,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(s(X2)))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_204008,c_203670]) ).
tcf(c_239360,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(X0),s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_203745,c_203670]) ).
tcf(c_239368,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,s(host(X2)))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_206665,c_203670]) ).
tcf(c_239369,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_207865,c_203670]) ).
tcf(c_239370,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207261,c_203670]) ).
tcf(c_239371,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),s(X0))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207866,c_203670]) ).
tcf(c_239372,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,host(X2))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_204993,c_203670]) ).
tcf(c_239373,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_207867,c_203670]) ).
tcf(c_239374,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(s(X1),host(X2))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232931,c_203670]) ).
tcf(c_239375,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(s(X1),host(X2))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206391,c_203670]) ).
tcf(c_239376,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(s(X1),host(X2))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206392,c_203670]) ).
tcf(c_239377,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(s(X1),host(X2))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_204993,c_203670]) ).
tcf(c_239378,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(s(X2)))
| leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_204430,c_203670]) ).
tcf(c_239379,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),s(X2))
| leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_204992,c_203670]) ).
tcf(c_239380,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_204429,c_203670]) ).
tcf(c_239384,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(host(X0),X1)
| leq(host(sK8),host(sK2))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_232180,c_203670]) ).
tcf(c_239388,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232939,c_203670]) ).
tcf(c_239389,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(s(X0),sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_203670]) ).
tcf(c_239390,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| leq(s(X0),sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_203670]) ).
tcf(c_239391,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204364,c_203670]) ).
tcf(c_239392,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204367,c_203670]) ).
tcf(c_239393,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(s(sK10(sK6,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204368,c_203670]) ).
tcf(c_239394,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232940,c_203670]) ).
tcf(c_239395,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(s(X0),sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_203670]) ).
tcf(c_239396,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| leq(s(X0),sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_203670]) ).
tcf(c_239397,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204619,c_203670]) ).
tcf(c_239398,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204622,c_203670]) ).
tcf(c_239399,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(s(sK10(sK7,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204623,c_203670]) ).
tcf(c_239400,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(nbr_proc,s(X1))
| leq(X1,s(X2))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_203670]) ).
tcf(c_239401,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),s(nbr_proc))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232984,c_203670]) ).
tcf(c_239402,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_207601,c_203670]) ).
tcf(c_239403,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(X1)))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_204010,c_203670]) ).
tcf(c_239404,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_203973,c_203670]) ).
tcf(c_239406,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(X0),s(s(s(s(s(s(s(X1)))))))) ),
inference(superposition,[status(thm)],[c_204514,c_203670]) ).
tcf(c_239408,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(s(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_208024,c_203670]) ).
tcf(c_239409,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(s(X2),s(s(X1)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_203670]) ).
tcf(c_239410,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(s(X2)))
| leq(s(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_203670]) ).
tcf(c_239411,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(s(X2),s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_203670]) ).
tcf(c_239412,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(X2))
| leq(s(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_206375,c_203670]) ).
tcf(c_239413,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(s(s(X2))))
| leq(s(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_207313,c_203670]) ).
tcf(c_239414,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(s(X1),s(host(X2)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233014,c_203670]) ).
tcf(c_239415,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),s(s(X2)))
| leq(s(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_206665,c_203670]) ).
tcf(c_239416,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),s(X2))
| leq(s(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_208896,c_203670]) ).
tcf(c_239417,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(s(X2)))
| leq(s(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_206666,c_203670]) ).
tcf(c_239418,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(s(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_207190,c_203670]) ).
tcf(c_239419,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(s(X0),s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_203670]) ).
tcf(c_239420,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(s(X0),s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_203670]) ).
tcf(c_239421,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),s(s(nbr_proc)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233020,c_203670]) ).
tcf(c_239422,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(s(X1)))
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206984,c_203670]) ).
tcf(c_239423,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(s(X1))))
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206907,c_203670]) ).
tcf(c_239424,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),s(X2))
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_223102,c_203670]) ).
tcf(c_239425,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208900,c_203670]) ).
tcf(c_239426,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(X1)))
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206674,c_203670]) ).
tcf(c_239427,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206886,c_203670]) ).
tcf(c_239428,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(X1),nbr_proc)
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_206326,c_203670]) ).
tcf(c_239429,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(s(X2),nbr_proc)
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_203670]) ).
tcf(c_239430,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(nbr_proc,s(X0))
| leq(s(X2),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_222536,c_203670]) ).
tcf(c_239432,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(s(X0),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204785,c_203670]) ).
tcf(c_239433,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(s(X0),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_230136,c_203670]) ).
tcf(c_239434,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| leq(s(X0),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_203670]) ).
tcf(c_239435,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(s(s(X2))))
| leq(s(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_206515,c_203670]) ).
tcf(c_239436,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,host(X2))
| leq(s(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_206391,c_203670]) ).
tcf(c_239437,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(s(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_210347,c_203670]) ).
tcf(c_239438,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(X0),s(s(s(s(s(s(s(s(X1))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_203670]) ).
tcf(c_239439,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_204996,c_203670]) ).
tcf(c_239440,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_205002,c_203670]) ).
tcf(c_239441,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_205003,c_203670]) ).
tcf(c_239442,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_205004,c_203670]) ).
tcf(c_239443,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(s(s(s(host(X1))))))) ),
inference(superposition,[status(thm)],[c_205006,c_203670]) ).
tcf(c_239444,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_205008,c_203670]) ).
tcf(c_239445,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_205009,c_203670]) ).
tcf(c_239446,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_206181,c_203670]) ).
tcf(c_239447,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_207874,c_203670]) ).
tcf(c_239448,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_66088,c_203670]) ).
tcf(c_239449,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(s(X2)))
| leq(s(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206667,c_203670]) ).
tcf(c_239450,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(X2))
| leq(s(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208835,c_203670]) ).
tcf(c_239451,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(X1)))
| leq(s(X0),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_206899,c_203670]) ).
tcf(c_239452,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(X1))
| leq(s(X0),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_203670]) ).
tcf(c_239453,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(s(X0),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208867,c_203670]) ).
tcf(c_239454,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(s(X0),s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208879,c_203670]) ).
tcf(c_239455,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_224224,c_203670]) ).
tcf(c_239456,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208533,c_203670]) ).
tcf(c_239457,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(sK8),X1)
| leq(X1,s(X2))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208882,c_203670]) ).
tcf(c_239458,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(s(X2),s(nbr_proc))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_222343,c_203670]) ).
tcf(c_239459,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| leq(s(X0),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_203670]) ).
tcf(c_240586,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_206197,c_203800]) ).
tcf(c_240587,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_204992,c_203800]) ).
tcf(c_240591,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(nbr_proc))
| leq(X0,host(sK8))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_203800]) ).
tcf(c_240598,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,host(sK8))
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_203800]) ).
tcf(c_240600,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,host(sK8))
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_203800]) ).
tcf(c_240602,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_203800]) ).
tcf(c_240604,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_211595,c_203800]) ).
tcf(c_240606,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(nbr_proc,s(X0))
| leq(X1,host(sK8))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208856,c_203800]) ).
tcf(c_240610,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X0,host(sK8))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_203800]) ).
tcf(c_240612,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X0,host(sK8))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_203800]) ).
tcf(c_240618,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(sK8))
| leq(X1,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_219292,c_203800]) ).
tcf(c_240623,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201662,c_203800]) ).
tcf(c_240624,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201663,c_203800]) ).
tcf(c_240627,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,nbr_proc)
| leq(X0,host(sK8))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208855,c_203800]) ).
tcf(c_240629,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(sK8))
| leq(X1,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_203800]) ).
tcf(c_240630,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,host(sK8))
| leq(X1,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_203800]) ).
tcf(c_240635,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK8))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233811,c_203800]) ).
tcf(c_240636,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,X1)
| leq(X1,host(sK8))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_209669,c_203800]) ).
tcf(c_240643,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207261,c_203800]) ).
tcf(c_240644,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207866,c_203800]) ).
tcf(c_240647,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X1))
| leq(X0,host(sK8))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232931,c_203800]) ).
tcf(c_240658,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(nbr_proc))
| leq(s(zero),host(sK8)) ),
inference(superposition,[status(thm)],[c_222418,c_203800]) ).
tcf(c_240659,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(s(zero),host(sK8)) ),
inference(superposition,[status(thm)],[c_208874,c_203800]) ).
tcf(c_240661,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232939,c_203800]) ).
tcf(c_240667,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232940,c_203800]) ).
tcf(c_240674,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232984,c_203800]) ).
tcf(c_240682,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(X1)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_203800]) ).
tcf(c_240684,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_203800]) ).
tcf(c_240686,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(host(X1)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207313,c_203800]) ).
tcf(c_240687,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(host(X1)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233014,c_203800]) ).
tcf(c_240692,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK8))
| leq(nbr_proc,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_203800]) ).
tcf(c_240693,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK8))
| leq(nbr_proc,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_203800]) ).
tcf(c_240694,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(nbr_proc)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233020,c_203800]) ).
tcf(c_240696,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206907,c_203800]) ).
tcf(c_240701,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,X0)
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_206326,c_203800]) ).
tcf(c_240708,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206515,c_203800]) ).
tcf(c_240711,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(s(s(X0))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_203800]) ).
tcf(c_240719,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(X1))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_206181,c_203800]) ).
tcf(c_240728,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_224224,c_203800]) ).
tcf(c_240834,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(zero,s(host(sK8)))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_211410]) ).
tcf(c_240835,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(host(X1),host(sK8))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_209486]) ).
tcf(c_240836,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X0,X1)
| leq(X1,s(host(sK8)))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_208821]) ).
tcf(c_240837,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(s(zero),host(sK8))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_205100]) ).
tcf(c_240838,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(zero,host(sK8))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_203571]) ).
tcf(c_240840,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ( host(sK8) = X0 )
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_203801,c_109]) ).
tcf(c_240841,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,X0)
| ( s(X1) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_203801,c_106]) ).
tcf(c_240842,plain,
( leq(nbr_proc,s(host(sK8)))
| ( s(s(host(sK8))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_117]) ).
tcf(c_240844,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,X0)
| ( s(X1) = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203801,c_233035]) ).
tcf(c_240845,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203801,c_208692]) ).
tcf(c_240846,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(nbr_proc))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_208342]) ).
tcf(c_240847,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(s(X1),X0)
| ( s(X1) = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203801,c_204891]) ).
tcf(c_240848,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(X0),nbr_proc)
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202427]) ).
tcf(c_240849,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202437]) ).
tcf(c_240850,plain,
( leq(nbr_proc,s(s(host(sK8))))
| ( s(s(s(host(sK8)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_201589]) ).
tcf(c_240851,plain,
( leq(nbr_proc,s(s(s(host(sK8)))))
| ( s(s(s(s(host(sK8))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_201594]) ).
tcf(c_240852,plain,
( leq(nbr_proc,s(s(s(s(host(sK8))))))
| ( s(s(s(s(s(host(sK8)))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_201708]) ).
tcf(c_240853,plain,
( leq(nbr_proc,s(s(s(s(s(host(sK8)))))))
| ( s(s(s(s(s(s(host(sK8))))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_201873]) ).
tcf(c_240855,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(nbr_proc,s(X0))
| leq(s(X1),host(sK8))
| ( s(s(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_203670]) ).
tcf(c_240856,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X0,host(sK8))
| ( s(s(X1)) = nbr_proc )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_203801,c_202048]) ).
tcf(c_240857,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| ( s(s(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_204027]) ).
tcf(c_240858,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(nbr_proc,s(X0))
| leq(X1,host(sK8))
| ( s(s(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_204001]) ).
tcf(c_240859,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(host(sK8)))
| ( s(s(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_203735]) ).
tcf(c_240862,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK8))
| leq(host(sK8),X0)
| ( s(nbr_proc) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_218832]) ).
tcf(c_240863,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,X0)
| leq(X0,host(sK8))
| ( s(nbr_proc) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_203574]) ).
tcf(c_240864,plain,
( leq(nbr_proc,nbr_proc)
| leq(zero,host(sK8))
| ( s(nbr_proc) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202466]) ).
tcf(c_240865,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(nbr_proc,host(X0))
| leq(X1,host(sK8))
| ( s(host(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_204463]) ).
tcf(c_240866,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| leq(zero,s(s(host(sK8))))
| ( s(host(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_207779]) ).
tcf(c_240867,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| leq(s(zero),s(host(sK8)))
| ( s(host(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_204994]) ).
tcf(c_240868,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| leq(zero,s(host(sK8)))
| ( s(host(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_204431]) ).
tcf(c_240869,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| leq(s(zero),host(sK8))
| ( s(host(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202051]) ).
tcf(c_240870,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,host(X0))
| ( s(host(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_203764]) ).
tcf(c_240871,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(host(sK8)))
| ( s(s(s(X0))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_206377]) ).
tcf(c_240872,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(X0)))
| ( s(s(s(X0))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_206704]) ).
tcf(c_240874,plain,
! [X0: $i] :
( leq(X0,s(host(sK8)))
| leq(nbr_proc,s(s(s(X0))))
| ( s(s(s(s(X0)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_210335]) ).
tcf(c_240876,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(s(X0))))
| ( s(s(s(s(X0)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_214130]) ).
tcf(c_240878,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,sK10(sK6,sK8))
| ( s(sK10(sK6,sK8)) = nbr_proc )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203801,c_203775]) ).
tcf(c_240879,plain,
( leq(nbr_proc,sK10(sK6,sK8))
| leq(s(zero),host(sK8))
| ( s(sK10(sK6,sK8)) = nbr_proc )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203801,c_202063]) ).
tcf(c_240880,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,sK10(sK7,sK8))
| ( s(sK10(sK7,sK8)) = nbr_proc )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203801,c_203787]) ).
tcf(c_240881,plain,
( leq(nbr_proc,sK10(sK7,sK8))
| leq(s(zero),host(sK8))
| ( s(sK10(sK7,sK8)) = nbr_proc )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203801,c_202064]) ).
tcf(c_240883,plain,
( leq(nbr_proc,nbr_proc)
| ( s(nbr_proc) = nbr_proc )
| ( host(sK8) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202336]) ).
tcf(c_240884,plain,
( leq(nbr_proc,nbr_proc)
| ( s(nbr_proc) = nbr_proc )
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203801,c_203951]) ).
tcf(c_240885,plain,
( leq(nbr_proc,nbr_proc)
| ( s(nbr_proc) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202441]) ).
tcf(c_240886,plain,
( leq(nbr_proc,s(s(s(nbr_proc))))
| ( s(s(s(s(nbr_proc)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202432]) ).
tcf(c_240887,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202435]) ).
tcf(c_240888,plain,
( leq(nbr_proc,s(nbr_proc))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202438]) ).
tcf(c_240889,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(host(X0),host(sK8))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_223710]) ).
tcf(c_240890,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_204171]) ).
tcf(c_240891,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(s(zero),host(sK8))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_205039]) ).
tcf(c_240892,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(zero,s(host(sK8)))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_203974]) ).
tcf(c_240893,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(zero,host(sK8))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202066]) ).
tcf(c_240894,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),s(host(sK8)))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_224023]) ).
tcf(c_240895,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),s(host(sK8)))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_213643]) ).
tcf(c_240896,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),host(sK8))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_223104]) ).
tcf(c_240897,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(zero,s(host(sK8)))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_206889]) ).
tcf(c_240898,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),host(sK8))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_205087]) ).
tcf(c_240899,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(nbr_proc)))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202067]) ).
tcf(c_240900,plain,
! [X0: $i] :
( leq(host(X0),host(sK8))
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( s(s(s(s(nbr_proc)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_223145]) ).
tcf(c_240901,plain,
( leq(zero,s(host(sK8)))
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( s(s(s(s(nbr_proc)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_210420]) ).
tcf(c_240902,plain,
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( s(s(s(s(nbr_proc)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_206606]) ).
tcf(c_240903,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( s(s(s(s(nbr_proc)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202068]) ).
tcf(c_240904,plain,
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( s(s(s(s(s(nbr_proc))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202070]) ).
tcf(c_240905,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( s(s(s(s(s(nbr_proc))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_203989]) ).
tcf(c_240906,plain,
( leq(nbr_proc,host(sK2))
| leq(host(sK8),host(sK8))
| ( host(sK2) = host(sK7) )
| ( s(host(sK2)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202057]) ).
tcf(c_240907,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(X0)))
| leq(s(zero),s(host(sK8)))
| ( s(s(host(X0))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_213503]) ).
tcf(c_240908,plain,
! [X0: $i] :
( leq(zero,s(host(sK8)))
| leq(nbr_proc,s(host(X0)))
| ( s(s(host(X0))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_207823]) ).
tcf(c_240909,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(host(X0)))
| ( s(s(host(X0))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_205062]) ).
tcf(c_240910,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(host(X0)))
| ( s(s(host(X0))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_204492]) ).
tcf(c_240911,plain,
! [X0: $i] :
( leq(zero,s(host(sK8)))
| leq(nbr_proc,s(s(host(X0))))
| ( s(s(s(host(X0)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_212912]) ).
tcf(c_240912,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(host(X0))))
| ( s(s(s(host(X0)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_206597]) ).
tcf(c_240913,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(host(X0))))
| ( s(s(s(host(X0)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_204502]) ).
tcf(c_240914,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(host(X0)))))
| ( s(s(s(s(host(X0))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_202069]) ).
tcf(c_240915,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc))
| ( s(s(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_214522]) ).
tcf(c_240916,plain,
( leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| ( s(s(s(s(s(s(nbr_proc)))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_204770]) ).
tcf(c_240917,plain,
( leq(nbr_proc,s(s(s(s(s(s(host(sK8))))))))
| ( s(s(s(s(s(s(s(host(sK8)))))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_204971]) ).
tcf(c_240918,plain,
( leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( s(s(s(s(s(nbr_proc))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_204982]) ).
tcf(c_240919,plain,
( leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc)))))))
| ( s(s(s(s(s(s(s(nbr_proc))))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_211870]) ).
tcf(c_240920,plain,
( leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| ( s(s(s(s(s(s(nbr_proc)))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_213049]) ).
tcf(c_240921,plain,
( leq(nbr_proc,host(sK7))
| ( host(sK2) = nbr_proc )
| ( s(host(sK7)) = nbr_proc )
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203801,c_206837]) ).
tcf(c_240939,plain,
( leq(zero,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_240892,c_202443]) ).
tcf(c_240940,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,host(X0))
| ( s(host(X0)) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_240868,c_202443]) ).
tcf(c_240941,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| ( s(s(X0)) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_240859,c_202443]) ).
tcf(c_240949,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| leq(nbr_proc,host(X0))
| ( s(host(X0)) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_240867,c_202443]) ).
tcf(c_240950,plain,
! [X0: $i] :
( leq(zero,s(nbr_proc))
| leq(nbr_proc,host(X0))
| ( s(host(X0)) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_240866,c_202443]) ).
tcf(c_240965,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| ( s(X0) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_240834,c_202443]) ).
tcf(c_240966,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(host(X0)))
| ( s(s(host(X0))) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_240908,c_202443]) ).
tcf(c_240967,plain,
( leq(zero,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_240897,c_202443]) ).
tcf(c_240977,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(host(X0)))
| ( s(s(host(X0))) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_240907,c_202443]) ).
tcf(c_240978,plain,
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_240895,c_202443]) ).
tcf(c_240979,plain,
! [X0: $i] :
( leq(host(X0),nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_240894,c_202443]) ).
tcf(c_240993,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(s(host(X0))))
| ( s(s(s(host(X0)))) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_240911,c_202443]) ).
tcf(c_240994,plain,
( leq(zero,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( s(s(s(s(nbr_proc)))) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_240901,c_202443]) ).
tcf(c_241022,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_202443,c_239342]) ).
tcf(c_241023,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_239342,c_211410]) ).
tcf(c_241024,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(s(X2),nbr_proc)
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_239342,c_209486]) ).
tcf(c_241025,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(s(X2),X0)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_239342,c_208821]) ).
tcf(c_241026,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_239342,c_205100]) ).
tcf(c_241029,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( s(s(X0)) = s(X1) )
| ~ leq(s(s(X0)),s(X1)) ),
inference(superposition,[status(thm)],[c_239342,c_109]) ).
tcf(c_241030,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(s(X2),X1)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_239342,c_106]) ).
tcf(c_241031,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),s(X0))
| ( s(s(X0)) = s(X1) ) ),
inference(superposition,[status(thm)],[c_239342,c_114]) ).
tcf(c_241039,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(s(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_239342,c_203670]) ).
tcf(c_241040,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,s(s(X2)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_239342,c_202048]) ).
tcf(c_241049,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(X1)))
| leq(X1,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_239342,c_214621]) ).
tcf(c_241119,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(host(sK2)))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_239439]) ).
tcf(c_241123,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),nbr_proc)
| leq(host(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_239439,c_209486]) ).
tcf(c_241124,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),X0)
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_239439,c_208821]) ).
tcf(c_241128,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ( s(host(X0)) = s(X1) )
| ~ leq(s(host(X0)),s(X1)) ),
inference(superposition,[status(thm)],[c_239439,c_109]) ).
tcf(c_241129,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),X1)
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_239439,c_106]) ).
tcf(c_241130,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),host(X0))
| ( s(host(X0)) = s(X1) ) ),
inference(superposition,[status(thm)],[c_239439,c_114]) ).
tcf(c_241138,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(s(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_239439,c_203670]) ).
tcf(c_241139,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X0,s(host(X2)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_239439,c_202048]) ).
tcf(c_241227,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_239445,c_208821]) ).
tcf(c_241231,plain,
! [X0: $i] :
( leq(zero,X0)
| ( s(s(nbr_proc)) = s(X0) )
| ~ leq(s(s(nbr_proc)),s(X0)) ),
inference(superposition,[status(thm)],[c_239445,c_109]) ).
tcf(c_241232,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_239445,c_106]) ).
tcf(c_241241,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_239445,c_203670]) ).
tcf(c_241242,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,s(s(nbr_proc)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_239445,c_202048]) ).
tcf(c_241305,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(s(X1),X0)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_241022,c_208821]) ).
tcf(c_241309,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( s(X0) = s(nbr_proc) )
| ~ leq(s(nbr_proc),s(X0)) ),
inference(superposition,[status(thm)],[c_241022,c_109]) ).
tcf(c_241310,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(s(X1),X0)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_241022,c_106]) ).
tcf(c_241319,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_241022,c_203670]) ).
tcf(c_241326,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_241022,c_206704]) ).
tcf(c_241358,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_241022,c_204770]) ).
tcf(c_241360,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_241022,c_211870]) ).
tcf(c_241381,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),nbr_proc)
| leq(host(X0),sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_239350,c_209486]) ).
tcf(c_241382,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_239350,c_208821]) ).
tcf(c_241385,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_239350,c_202047]) ).
tcf(c_241386,plain,
! [X0: $i] :
( leq(zero,X0)
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_239350,c_109]) ).
tcf(c_241387,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_239350,c_106]) ).
tcf(c_241394,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_239350,c_203800]) ).
tcf(c_241395,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(s(X0),sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_239350,c_203670]) ).
tcf(c_241396,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_239350,c_202048]) ).
tcf(c_241405,plain,
! [X0: $i] :
( leq(nbr_proc,sK10(sK6,sK8))
| leq(zero,s(s(X0)))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_239350,c_214621]) ).
tcf(c_241481,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),nbr_proc)
| leq(host(X0),sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_239351,c_209486]) ).
tcf(c_241482,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_239351,c_208821]) ).
tcf(c_241485,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_239351,c_202047]) ).
tcf(c_241486,plain,
! [X0: $i] :
( leq(zero,X0)
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_239351,c_109]) ).
tcf(c_241487,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_239351,c_106]) ).
tcf(c_241494,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_239351,c_203800]) ).
tcf(c_241495,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(s(X0),sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_239351,c_203670]) ).
tcf(c_241496,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_239351,c_202048]) ).
tcf(c_241505,plain,
! [X0: $i] :
( leq(nbr_proc,sK10(sK7,sK8))
| leq(zero,s(s(X0)))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_239351,c_214621]) ).
tcf(c_241598,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(host(sK8),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_202443,c_230099]) ).
tcf(c_241599,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(nbr_proc,X0)
| leq(X1,s(host(sK8)))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_230099,c_204714]) ).
tcf(c_241600,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_230099,c_202428]) ).
tcf(c_241603,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X2,X0)
| leq(X1,s(X2))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_230099,c_208821]) ).
tcf(c_241607,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(X0))
| ( s(nbr_proc) = X0 )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_230099,c_109]) ).
tcf(c_241608,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X2,X0)
| leq(X1,s(X2))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_230099,c_106]) ).
tcf(c_241609,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,s(X0))
| ( s(nbr_proc) = X0 ) ),
inference(superposition,[status(thm)],[c_230099,c_114]) ).
tcf(c_241616,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X1,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_230099,c_203800]) ).
tcf(c_241617,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X1,X2)
| leq(s(X2),s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_230099,c_203670]) ).
tcf(c_241618,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X0,s(nbr_proc))
| leq(X2,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_230099,c_202048]) ).
tcf(c_241623,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_230099,c_218832]) ).
tcf(c_241624,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_230099,c_203574]) ).
tcf(c_241626,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(zero,X2)
| leq(X2,s(nbr_proc))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_230099,c_204463]) ).
tcf(c_241633,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_230099,c_206704]) ).
tcf(c_241635,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_230099,c_210335]) ).
tcf(c_241636,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(nbr_proc,s(nbr_proc))
| leq(X1,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_230099,c_214621]) ).
tcf(c_241637,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_230099,c_214130]) ).
tcf(c_241643,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_230099,c_202065]) ).
tcf(c_241644,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_230099,c_220294]) ).
tcf(c_241649,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_230099,c_204171]) ).
tcf(c_241655,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(host(X1),s(nbr_proc))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_230099,c_223104]) ).
tcf(c_241659,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(host(X1),s(nbr_proc))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_230099,c_223145]) ).
tcf(c_241665,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_230099,c_202057]) ).
tcf(c_241674,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_230099,c_204770]) ).
tcf(c_241676,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_230099,c_211870]) ).
tcf(c_241677,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(nbr_proc,host(sK8))
| leq(X0,s(nbr_proc))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_230099,c_204714]) ).
tcf(c_241678,plain,
! [X0: $i] :
( leq(nbr_proc,host(sK8))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_230099,c_202428]) ).
tcf(c_241681,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X2,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_230099,c_208821]) ).
tcf(c_241684,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X2,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_230099,c_202047]) ).
tcf(c_241685,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(nbr_proc))
| ( s(X0) = X1 )
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_230099,c_109]) ).
tcf(c_241686,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X2,X1)
| leq(X0,s(nbr_proc))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_230099,c_106]) ).
tcf(c_241687,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,X0)
| leq(X0,s(nbr_proc))
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_230099,c_114]) ).
tcf(c_241694,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(nbr_proc,s(X0))
| leq(X1,host(sK8))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_230099,c_203800]) ).
tcf(c_241695,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(X1,s(nbr_proc))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_230099,c_203670]) ).
tcf(c_241696,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,s(X1))
| leq(X2,s(nbr_proc))
| leq(X0,s(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_230099,c_202048]) ).
tcf(c_241704,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(X2))
| leq(X1,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_230099,c_204463]) ).
tcf(c_241711,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_230099,c_206704]) ).
tcf(c_241713,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(s(X1)))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_230099,c_210335]) ).
tcf(c_241715,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_230099,c_214130]) ).
tcf(c_241718,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,sK10(sK6,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_230099,c_202063]) ).
tcf(c_241720,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,sK10(sK7,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_230099,c_202064]) ).
tcf(c_241731,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X1,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_230099,c_204171]) ).
tcf(c_241735,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_230099,c_224023]) ).
tcf(c_241736,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_230099,c_213643]) ).
tcf(c_241737,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_230099,c_223104]) ).
tcf(c_241738,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_230099,c_206889]) ).
tcf(c_241739,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_230099,c_205087]) ).
tcf(c_241749,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(host(X1)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_230099,c_213503]) ).
tcf(c_241753,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(zero,s(s(X1)))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_230099,c_212912]) ).
tcf(c_241757,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_230099,c_204770]) ).
tcf(c_241759,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_230099,c_211870]) ).
tcf(c_241767,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(light_normalisation,[status(thm)],[c_241600,c_202443]) ).
tcf(c_241876,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(light_normalisation,[status(thm)],[c_241599,c_202443]) ).
tcf(c_241919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),
inference(superposition,[status(thm)],[c_239230,c_135]) ).
tcf(c_241920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32) != q_nil,
inference(superposition,[status(thm)],[c_239230,c_137]) ).
tcf(c_241921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32)),
inference(superposition,[status(thm)],[c_239230,c_101]) ).
tcf(c_241922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33)) ),
inference(superposition,[status(thm)],[c_239230,c_102]) ).
tcf(c_241923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33)) ),
inference(superposition,[status(thm)],[c_239230,c_103]) ).
tcf(c_241924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X0)),
inference(superposition,[status(thm)],[c_239230,c_203176]) ).
tcf(c_241925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),m_Ldr(X32)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31))) ),
inference(superposition,[status(thm)],[c_239230,c_203178]) ).
tcf(c_241926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X0))),
inference(superposition,[status(thm)],[c_239230,c_203596]) ).
tcf(c_241927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X0)))),
inference(superposition,[status(thm)],[c_239230,c_207142]) ).
tcf(c_241930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),m_Ldr(X32)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31)) ),
inference(light_normalisation,[status(thm)],[c_241925,c_237773]) ).
tcf(c_241969,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,host(sK8))
| leq(nbr_proc,s(X1))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_203804]) ).
tcf(c_241973,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_230102,c_203804]) ).
tcf(c_241978,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(X0))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_113,c_203804]) ).
tcf(c_241987,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(X1))
| leq(X1,host(sK8))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_203804]) ).
tcf(c_241993,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X0,s(zero))
| leq(X1,sK10(sK6,sK8))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_203804]) ).
tcf(c_241994,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_203804]) ).
tcf(c_241995,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X0,s(zero))
| leq(X1,sK10(sK7,sK8))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_203804]) ).
tcf(c_241996,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_203804]) ).
tcf(c_242002,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_223102,c_203804]) ).
tcf(c_242004,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(X1))
| leq(X1,host(sK8))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_211595,c_203804]) ).
tcf(c_242005,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(X1))
| leq(X1,host(sK8))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208856,c_203804]) ).
tcf(c_242009,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(X1))
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_232931,c_203804]) ).
tcf(c_242010,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(X1))
| leq(s(zero),s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_206391,c_203804]) ).
tcf(c_242016,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_232939,c_203804]) ).
tcf(c_242019,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_232940,c_203804]) ).
tcf(c_242022,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(nbr_proc,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_227724,c_203804]) ).
tcf(c_242023,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc))
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_232984,c_203804]) ).
tcf(c_242030,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(s(X0)))
| ~ leq(s(host(sK8)),X0) ),
inference(superposition,[status(thm)],[c_207157,c_203804]) ).
tcf(c_242032,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(s(X0)))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_207159,c_203804]) ).
tcf(c_242034,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(host(X1)))
| leq(zero,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_207313,c_203804]) ).
tcf(c_242035,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(host(X1)))
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_233014,c_203804]) ).
tcf(c_242040,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_203804]) ).
tcf(c_242041,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_203804]) ).
tcf(c_242042,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(nbr_proc)))
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_233020,c_203804]) ).
tcf(c_242044,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(nbr_proc)))
| leq(zero,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_206907,c_203804]) ).
tcf(c_242054,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(nbr_proc,s(host(sK8)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_203804]) ).
tcf(c_242055,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(s(X0)))
| leq(X0,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_206515,c_203804]) ).
tcf(c_242056,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(s(s(s(host(sK8))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_203804]) ).
tcf(c_242057,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(X0))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223741,c_203804]) ).
tcf(c_242058,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223743,c_203804]) ).
tcf(c_242068,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208867,c_203804]) ).
tcf(c_242071,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_230099,c_203804]) ).
tcf(c_242072,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,host(sK8))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208882,c_203804]) ).
tcf(c_242074,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(sK2))
| leq(nbr_proc,s(host(sK8)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_203804]) ).
tcf(c_242099,plain,
! [X0: $i] :
( leq(zero,s(nbr_proc))
| leq(nbr_proc,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(light_normalisation,[status(thm)],[c_242044,c_202443]) ).
tcf(c_242100,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(nbr_proc))
| leq(nbr_proc,s(X0))
| leq(X0,s(host(X1))) ),
inference(light_normalisation,[status(thm)],[c_242034,c_202443]) ).
tcf(c_242102,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(X1))
| leq(s(zero),s(nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_242010,c_202443]) ).
tcf(c_242112,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_242071,c_202443]) ).
tcf(c_242117,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(light_normalisation,[status(thm)],[c_242054,c_202443]) ).
tcf(c_242124,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(light_normalisation,[status(thm)],[c_242074,c_202443]) ).
tcf(c_242156,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(host(sK8),X1)
| leq(s(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_211410]) ).
tcf(c_242158,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(sK8),X1)
| leq(X2,s(X0))
| leq(s(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_208821]) ).
tcf(c_242159,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(sK8),X1)
| leq(s(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_205100]) ).
tcf(c_242160,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),X1)
| leq(s(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_203571]) ).
tcf(c_242161,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(sK8),X1)
| leq(s(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_202047]) ).
tcf(c_242162,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| ( s(X1) = X0 )
| ~ leq(nbr_proc,X0)
| ~ leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_203853,c_109]) ).
tcf(c_242163,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(sK8),X2)
| leq(s(X2),X1)
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_203853,c_106]) ).
tcf(c_242164,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(s(X1),X0)
| ( s(X0) = s(X1) )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203853,c_114]) ).
tcf(c_242165,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203853,c_115]) ).
tcf(c_242176,plain,
( leq(host(sK8),zero)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_203853,c_201931]) ).
tcf(c_242177,plain,
( leq(host(sK8),zero)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_203853,c_201932]) ).
tcf(c_242178,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_201873]) ).
tcf(c_242181,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X2)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_203853,c_202048]) ).
tcf(c_242186,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(host(sK8),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_206377]) ).
tcf(c_242188,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_202059]) ).
tcf(c_242189,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(host(sK8),s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_210335]) ).
tcf(c_242192,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_202061]) ).
tcf(c_242193,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(s(s(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_202065]) ).
tcf(c_242195,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),X0)
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_203853,c_202430]) ).
tcf(c_242207,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_206889]) ).
tcf(c_242209,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_202067]) ).
tcf(c_242211,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(host(sK8),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_210420]) ).
tcf(c_242212,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(host(sK8),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_206606]) ).
tcf(c_242213,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_202068]) ).
tcf(c_242220,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(host(sK8),s(s(s(nbr_proc))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_202070]) ).
tcf(c_242221,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(s(s(nbr_proc))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_203989]) ).
tcf(c_242226,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(host(sK8),host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_213503]) ).
tcf(c_242227,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(host(sK8),host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_207823]) ).
tcf(c_242229,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_204492]) ).
tcf(c_242231,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(host(sK8),s(host(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_212912]) ).
tcf(c_242232,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(sK8),s(host(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_206597]) ).
tcf(c_242233,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),s(host(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_204502]) ).
tcf(c_242235,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),s(s(host(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_202069]) ).
tcf(c_242238,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_204971]) ).
tcf(c_242508,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X1)
| leq(nbr_proc,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223259,c_203870]) ).
tcf(c_242510,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_222536,c_203870]) ).
tcf(c_242516,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(host(sK8),X1)
| leq(s(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227726,c_203870]) ).
tcf(c_242517,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,s(nbr_proc))
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227724,c_203870]) ).
tcf(c_242519,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,host(sK8))
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208833,c_203870]) ).
tcf(c_242523,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,host(sK8))
| leq(host(sK8),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211595,c_203870]) ).
tcf(c_242526,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(host(sK8),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208028,c_203870]) ).
tcf(c_242529,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),s(X1))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_203870]) ).
tcf(c_242530,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(X1))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_201841,c_203870]) ).
tcf(c_242531,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),s(X1))
| ~ leq(X0,X1)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_116,c_203870]) ).
tcf(c_242534,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_120,c_203870]) ).
tcf(c_242537,plain,
( leq(host(sK8),s(host(sK2)))
| ~ leq(nbr_proc,nbr_proc)
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_203870]) ).
tcf(c_242545,plain,
! [X0: $i] :
( leq(host(sK8),host(sK8))
| ( X0 = nbr_proc )
| ~ leq(nbr_proc,X0)
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_203870]) ).
tcf(c_242546,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(host(sK8),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203667,c_203870]) ).
tcf(c_242558,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| ( s(X0) = X1 )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203458,c_203870]) ).
tcf(c_242563,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X1)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222343,c_203870]) ).
tcf(c_242564,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X1)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_208826,c_203870]) ).
tcf(c_242565,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(s(nbr_proc)))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_223102,c_203870]) ).
tcf(c_242566,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| ~ leq(nbr_proc,X1)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_202052,c_203870]) ).
tcf(c_242570,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_203421,c_203870]) ).
tcf(c_242572,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),X0)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_209674,c_203870]) ).
tcf(c_242577,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_203604,c_203870]) ).
tcf(c_242579,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),X0)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_209675,c_203870]) ).
tcf(c_242580,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| leq(host(sK8),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211595,c_203870]) ).
tcf(c_242581,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(X0))
| leq(host(sK8),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208856,c_203870]) ).
tcf(c_242582,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(host(sK8),X0)
| ~ leq(nbr_proc,X1)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203853,c_203870]) ).
tcf(c_242583,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X1)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204257,c_203870]) ).
tcf(c_242592,plain,
( leq(host(sK8),s(zero))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_201949,c_203870]) ).
tcf(c_242593,plain,
( leq(host(sK8),s(zero))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_201968,c_203870]) ).
tcf(c_242594,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(X1))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_227726,c_203870]) ).
tcf(c_242595,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| ~ leq(X0,zero)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_233811,c_203870]) ).
tcf(c_242596,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(host(sK8),X1)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_203870]) ).
tcf(c_242598,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204230,c_203870]) ).
tcf(c_242603,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),s(X0))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_203667,c_203870]) ).
tcf(c_242624,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(host(sK8),s(X0))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_208833,c_203870]) ).
tcf(c_242626,plain,
! [X0: $i] :
( leq(host(sK8),s(s(X0)))
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_203870]) ).
tcf(c_242627,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),s(s(X0)))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_203811,c_203870]) ).
tcf(c_242628,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),host(X1))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232931,c_203870]) ).
tcf(c_242630,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X0)))
| leq(host(sK8),host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206392,c_203870]) ).
tcf(c_242635,plain,
( leq(host(sK8),nbr_proc)
| ~ leq(nbr_proc,s(s(zero))) ),
inference(superposition,[status(thm)],[c_204046,c_203870]) ).
tcf(c_242636,plain,
( leq(host(sK8),nbr_proc)
| ~ iPr_def_12
| ~ leq(nbr_proc,s(sK10(sK6,sK8))) ),
inference(superposition,[status(thm)],[c_204048,c_203870]) ).
tcf(c_242637,plain,
( leq(host(sK8),nbr_proc)
| ~ iPr_def_12
| ~ leq(nbr_proc,s(sK10(sK7,sK8))) ),
inference(superposition,[status(thm)],[c_204049,c_203870]) ).
tcf(c_242638,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(host(sK8),host(sK2))
| ~ elem(m_Ldr(X0),sK0)
| ~ leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_232180,c_203870]) ).
tcf(c_242639,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X0)
| ~ leq(nbr_proc,s(s(zero))) ),
inference(superposition,[status(thm)],[c_222418,c_203870]) ).
tcf(c_242640,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X0)
| ~ leq(nbr_proc,s(s(zero))) ),
inference(superposition,[status(thm)],[c_208874,c_203870]) ).
tcf(c_242641,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ~ leq(nbr_proc,X0)
| ~ leq(nbr_proc,s(s(zero))) ),
inference(superposition,[status(thm)],[c_204158,c_203870]) ).
tcf(c_242646,plain,
! [X0: $i] :
( leq(host(sK8),sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232939,c_203870]) ).
tcf(c_242647,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208850,c_203870]) ).
tcf(c_242648,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(host(sK8),sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204361,c_203870]) ).
tcf(c_242652,plain,
! [X0: $i] :
( leq(host(sK8),sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232940,c_203870]) ).
tcf(c_242653,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208851,c_203870]) ).
tcf(c_242654,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(host(sK8),sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204616,c_203870]) ).
tcf(c_242659,plain,
! [X0: $i] :
( leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232984,c_203870]) ).
tcf(c_242665,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(s(s(s(X0)))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204514,c_203870]) ).
tcf(c_242679,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),s(s(X1)))
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207157,c_203870]) ).
tcf(c_242681,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),s(s(X1)))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207159,c_203870]) ).
tcf(c_242683,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X0)))
| leq(host(sK8),s(host(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207313,c_203870]) ).
tcf(c_242684,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),s(host(X1)))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233014,c_203870]) ).
tcf(c_242685,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(host(sK8),s(host(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206665,c_203870]) ).
tcf(c_242689,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(sK10(sK6,sK8)))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208890,c_203870]) ).
tcf(c_242690,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(sK10(sK7,sK8)))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208891,c_203870]) ).
tcf(c_242691,plain,
! [X0: $i] :
( leq(host(sK8),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233020,c_203870]) ).
tcf(c_242692,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| leq(host(sK8),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206984,c_203870]) ).
tcf(c_242693,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(host(sK8),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206907,c_203870]) ).
tcf(c_242698,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| ~ leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_206326,c_203870]) ).
tcf(c_242704,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(host(sK8),s(s(s(s(nbr_proc)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204788,c_203870]) ).
tcf(c_242706,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(X0))))
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208344,c_203870]) ).
tcf(c_242708,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(X0))))
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_214574,c_203870]) ).
tcf(c_242709,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(X0)))
| leq(host(sK8),s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206515,c_203870]) ).
tcf(c_242712,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(s(s(s(s(X0))))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206387,c_203870]) ).
tcf(c_242720,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),host(X1))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_206181,c_203870]) ).
tcf(c_242721,plain,
! [X0: $i] :
( leq(host(sK8),host(X0))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_206186,c_203870]) ).
tcf(c_242722,plain,
! [X0: $i] :
( leq(host(sK8),host(X0))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_206187,c_203870]) ).
tcf(c_242725,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),s(X0))
| ~ leq(nbr_proc,host(X1))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223741,c_203870]) ).
tcf(c_242726,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),s(X1))
| ~ leq(nbr_proc,X1)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_223743,c_203870]) ).
tcf(c_242727,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),s(X1))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222883,c_203870]) ).
tcf(c_242728,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),s(X1))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222874,c_203870]) ).
tcf(c_242729,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(host(sK8),s(s(s(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206667,c_203870]) ).
tcf(c_242739,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(host(sK8),s(s(s(nbr_proc))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206899,c_203870]) ).
tcf(c_242740,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(host(sK8),s(s(s(nbr_proc))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208858,c_203870]) ).
tcf(c_242746,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_241022,c_203870]) ).
tcf(c_242747,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_224224,c_203870]) ).
tcf(c_242748,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208533,c_203870]) ).
tcf(c_242749,plain,
! [X0: $i] :
( leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_223697,c_203870]) ).
tcf(c_242750,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(X0))
| leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_230099,c_203870]) ).
tcf(c_242754,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(s(X0)))))
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215311,c_203870]) ).
tcf(c_242755,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),s(s(s(s(X0)))))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_210340,c_203870]) ).
tcf(c_242762,plain,
! [X0: $i] :
( leq(host(sK8),s(s(nbr_proc)))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222875,c_203870]) ).
tcf(c_242763,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(nbr_proc))))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222876,c_203870]) ).
tcf(c_242764,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(s(nbr_proc)))))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222877,c_203870]) ).
tcf(c_242765,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(s(s(nbr_proc))))))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222878,c_203870]) ).
tcf(c_242766,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),s(s(X1)))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_225028,c_203870]) ).
tcf(c_242767,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(s(nbr_proc)))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_239445,c_203870]) ).
tcf(c_242770,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(s(X1)))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_239342,c_203870]) ).
tcf(c_242771,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_239350,c_203870]) ).
tcf(c_242772,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_239351,c_203870]) ).
tcf(c_242773,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),s(host(X1)))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_239439,c_203870]) ).
tcf(c_242871,plain,
( leq(host(sK8),s(host(sK2)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242537,c_111]) ).
tcf(c_242886,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242755,c_111]) ).
tcf(c_242890,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(X0))))
| ~ leq(host(sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242706,c_111]) ).
tcf(c_242917,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(host(sK8),s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242624,c_111]) ).
tcf(c_243073,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(nbr_proc,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223259,c_203913]) ).
tcf(c_243074,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| leq(host(sK8),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208882,c_203913]) ).
tcf(c_243075,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(s(zero),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_222536,c_203913]) ).
tcf(c_243076,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(s(zero),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208857,c_203913]) ).
tcf(c_243081,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(s(zero),X1)
| leq(s(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227726,c_203913]) ).
tcf(c_243082,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227724,c_203913]) ).
tcf(c_243083,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(host(sK8),X0)
| leq(s(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_209669,c_203913]) ).
tcf(c_243084,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,host(sK8))
| leq(s(zero),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208833,c_203913]) ).
tcf(c_243085,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,host(sK8))
| leq(s(zero),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_219292,c_203913]) ).
tcf(c_243088,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,host(sK8))
| leq(s(zero),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211595,c_203913]) ).
tcf(c_243091,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(s(zero),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208028,c_203913]) ).
tcf(c_243094,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X1))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_203913]) ).
tcf(c_243095,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_201841,c_203913]) ).
tcf(c_243096,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X1))
| ~ leq(X0,X1)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_116,c_203913]) ).
tcf(c_243101,plain,
( leq(s(zero),s(host(sK2)))
| ( host(sK2) = host(sK7) )
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_203812,c_203913]) ).
tcf(c_243102,plain,
( leq(s(zero),s(host(sK2)))
| ~ leq(nbr_proc,nbr_proc)
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_203913]) ).
tcf(c_243108,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(s(zero),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208833,c_203913]) ).
tcf(c_243109,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(s(zero),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_219292,c_203913]) ).
tcf(c_243110,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| ( X0 = nbr_proc )
| ~ leq(nbr_proc,X0)
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_203913]) ).
tcf(c_243111,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(zero),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203667,c_203913]) ).
tcf(c_243116,plain,
! [X0: $i] :
( leq(s(zero),s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_201871,c_203913]) ).
tcf(c_243123,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| ( s(X0) = X1 )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203458,c_203913]) ).
tcf(c_243127,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(s(zero),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208818,c_203913]) ).
tcf(c_243128,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222343,c_203913]) ).
tcf(c_243129,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_208826,c_203913]) ).
tcf(c_243130,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(s(nbr_proc)))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_223102,c_203913]) ).
tcf(c_243131,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ~ leq(nbr_proc,X1)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_202052,c_203913]) ).
tcf(c_243132,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_12
| ~ leq(host(sK8),X0)
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_202150,c_203913]) ).
tcf(c_243135,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_203421,c_203913]) ).
tcf(c_243137,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(zero),X0)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_209674,c_203913]) ).
tcf(c_243138,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_12
| ~ leq(host(sK8),X0)
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_202159,c_203913]) ).
tcf(c_243142,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_203604,c_203913]) ).
tcf(c_243144,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(zero),X0)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_209675,c_203913]) ).
tcf(c_243145,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| leq(s(zero),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211595,c_203913]) ).
tcf(c_243146,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(X0))
| leq(s(zero),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208856,c_203913]) ).
tcf(c_243147,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(host(sK8),X0)
| ~ leq(nbr_proc,X1)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203853,c_203913]) ).
tcf(c_243148,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),X1)
| ~ leq(nbr_proc,X1)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204257,c_203913]) ).
tcf(c_243151,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(s(zero),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204008,c_203913]) ).
tcf(c_243156,plain,
! [X0: $i] :
( leq(s(zero),s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203745,c_203913]) ).
tcf(c_243157,plain,
( leq(s(zero),s(zero))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_201949,c_203913]) ).
tcf(c_243158,plain,
( leq(s(zero),s(zero))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_201968,c_203913]) ).
tcf(c_243165,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(s(zero),s(X0))
| ( host(sK2) = host(sK7) )
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_227736,c_203913]) ).
tcf(c_243168,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),s(X0))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_203667,c_203913]) ).
tcf(c_243189,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(s(zero),s(X0))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_208833,c_203913]) ).
tcf(c_243191,plain,
! [X0: $i] :
( leq(s(zero),s(s(X0)))
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_203913]) ).
tcf(c_243193,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),host(X1))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232931,c_203913]) ).
tcf(c_243195,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X0)))
| leq(s(zero),host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206392,c_203913]) ).
tcf(c_243196,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(s(zero),host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204993,c_203913]) ).
tcf(c_243197,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(s(zero),host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204430,c_203913]) ).
tcf(c_243198,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(s(zero),host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204992,c_203913]) ).
tcf(c_243199,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204429,c_203913]) ).
tcf(c_243230,plain,
! [X0: $i] :
( leq(s(zero),s(s(s(s(s(s(X0)))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204514,c_203913]) ).
tcf(c_243244,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(X1)))
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207157,c_203913]) ).
tcf(c_243245,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(s(zero),s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206376,c_203913]) ).
tcf(c_243246,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(X1)))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207159,c_203913]) ).
tcf(c_243248,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X0)))
| leq(s(zero),s(host(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207313,c_203913]) ).
tcf(c_243249,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(host(X1)))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233014,c_203913]) ).
tcf(c_243250,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(s(zero),s(host(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206665,c_203913]) ).
tcf(c_243251,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(s(zero),s(host(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208896,c_203913]) ).
tcf(c_243252,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(s(zero),s(host(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206666,c_203913]) ).
tcf(c_243253,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),s(host(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207190,c_203913]) ).
tcf(c_243271,plain,
! [X0: $i] :
( leq(s(zero),s(s(s(X0))))
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208344,c_203913]) ).
tcf(c_243273,plain,
! [X0: $i] :
( leq(s(zero),s(s(s(X0))))
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_214574,c_203913]) ).
tcf(c_243274,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(X0)))
| leq(s(zero),s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206515,c_203913]) ).
tcf(c_243277,plain,
! [X0: $i] :
( leq(s(zero),s(s(s(s(s(s(s(X0))))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206387,c_203913]) ).
tcf(c_243285,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),host(X1))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_206181,c_203913]) ).
tcf(c_243290,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| ~ leq(nbr_proc,host(X1))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223741,c_203913]) ).
tcf(c_243291,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X1))
| ~ leq(nbr_proc,X1)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_223743,c_203913]) ).
tcf(c_243292,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),s(X1))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222883,c_203913]) ).
tcf(c_243293,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(X1))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222874,c_203913]) ).
tcf(c_243294,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(s(zero),s(s(s(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206667,c_203913]) ).
tcf(c_243295,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(s(s(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208835,c_203913]) ).
tcf(c_243310,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),s(s(host(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208879,c_203913]) ).
tcf(c_243318,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(zero),host(sK2))
| ( host(sK2) = host(sK7) )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227736,c_203913]) ).
tcf(c_243319,plain,
! [X0: $i] :
( leq(s(zero),s(s(s(s(X0)))))
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215311,c_203913]) ).
tcf(c_243320,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),s(s(s(s(X0)))))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_210340,c_203913]) ).
tcf(c_243331,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(s(X1)))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_225028,c_203913]) ).
tcf(c_243335,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(s(X1)))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_239342,c_203913]) ).
tcf(c_243338,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),s(host(X1)))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_239439,c_203913]) ).
tcf(c_243426,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243320,c_111]) ).
tcf(c_243430,plain,
! [X0: $i] :
( leq(s(zero),s(s(s(X0))))
| ~ leq(host(sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243271,c_111]) ).
tcf(c_243433,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(s(zero),s(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243189,c_111]) ).
tcf(c_243497,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(s(zero),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243165,c_111]) ).
tcf(c_243571,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(zero,s(s(s(X0))))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_207319]) ).
tcf(c_243575,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(X1))
| leq(zero,s(s(s(host(sK8))))) ),
inference(superposition,[status(thm)],[c_207319,c_203804]) ).
tcf(c_243576,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,s(s(s(host(sK8)))))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_207319,c_204714]) ).
tcf(c_243577,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(X0)))
| leq(zero,s(s(s(host(sK8))))) ),
inference(superposition,[status(thm)],[c_207319,c_202428]) ).
tcf(c_243581,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),host(X2))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207319,c_209486]) ).
tcf(c_243583,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),host(X1))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207319,c_205100]) ).
tcf(c_243586,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(s(X1))))
| ( host(X0) = X1 )
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_207319,c_109]) ).
tcf(c_243587,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(zero,s(s(s(X2))))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_207319,c_106]) ).
tcf(c_243589,plain,
! [X0: $i] :
( leq(zero,s(s(s(host(sK2)))))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_207319,c_203633]) ).
tcf(c_243591,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_207319,c_208692]) ).
tcf(c_243593,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),X0)
| leq(zero,s(s(s(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207319,c_204891]) ).
tcf(c_243594,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207319,c_202427]) ).
tcf(c_243601,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(s(X1),host(X2))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_207319,c_203670]) ).
tcf(c_243602,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(zero,s(s(s(s(X1)))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207319,c_202048]) ).
tcf(c_243603,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(X1))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_207319,c_204027]) ).
tcf(c_243604,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,host(X2))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_207319,c_204001]) ).
tcf(c_243607,plain,
( leq(zero,s(s(s(host(sK2)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_207319,c_202410]) ).
tcf(c_243621,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X1))
| leq(zero,s(s(s(s(s(s(X0)))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207319,c_214621]) ).
tcf(c_243622,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(X1))
| leq(zero,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_207319,c_214130]) ).
tcf(c_243628,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(zero,s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_207319,c_202065]) ).
tcf(c_243652,plain,
! [X0: $i] :
( leq(host(sK8),host(X0))
| leq(zero,s(s(s(host(sK2)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_207319,c_202057]) ).
tcf(c_243667,plain,
! [X0: $i] :
( leq(zero,s(s(s(host(sK7)))))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_207319,c_206837]) ).
tcf(c_243672,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,host(X2))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_207319,c_208821]) ).
tcf(c_243676,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| ( s(s(s(X0))) = zero )
| ~ leq(s(s(s(X0))),zero) ),
inference(superposition,[status(thm)],[c_207319,c_109]) ).
tcf(c_243677,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X0,host(X2))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_207319,c_106]) ).
tcf(c_243681,plain,
! [X0: $i] :
( leq(zero,s(s(nbr_proc)))
| leq(nbr_proc,s(host(X0))) ),
inference(light_normalisation,[status(thm)],[c_243577,c_202443]) ).
tcf(c_243708,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(X1))
| leq(zero,s(s(nbr_proc))) ),
inference(light_normalisation,[status(thm)],[c_243575,c_202443]) ).
tcf(c_243721,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,s(s(nbr_proc)))
| ~ leq(s(host(X0)),X1) ),
inference(light_normalisation,[status(thm)],[c_243576,c_202443]) ).
tcf(c_243762,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(host(sK2))))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_207832]) ).
tcf(c_243766,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,s(host(sK8)))
| ~ leq(s(s(s(host(X0)))),X1) ),
inference(superposition,[status(thm)],[c_207832,c_204714]) ).
tcf(c_243768,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(s(zero),s(s(host(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207832,c_203913]) ).
tcf(c_243769,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(host(sK8),s(s(host(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207832,c_203870]) ).
tcf(c_243771,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(zero,s(X2))
| leq(host(X0),s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_207832,c_209486]) ).
tcf(c_243772,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_207832,c_208821]) ).
tcf(c_243776,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| ( s(s(host(X0))) = X1 )
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_207832,c_109]) ).
tcf(c_243777,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(zero,s(X2))
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_207832,c_106]) ).
tcf(c_243786,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(s(X2)))
| leq(s(X0),s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_207832,c_203670]) ).
tcf(c_243787,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(s(X1)))
| leq(X0,s(s(host(X2))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207832,c_202048]) ).
tcf(c_243795,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,s(host(X2)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_207832,c_204463]) ).
tcf(c_243806,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(host(X1))))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_207832,c_214130]) ).
tcf(c_243834,plain,
! [X0: $i] :
( leq(zero,s(host(sK2)))
| leq(host(sK8),s(s(host(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_207832,c_202057]) ).
tcf(c_243870,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X1)
| ~ leq(s(s(s(host(X0)))),X1) ),
inference(light_normalisation,[status(thm)],[c_243766,c_202443]) ).
tcf(c_243880,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),s(host(sK8)))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_207875,c_204714]) ).
tcf(c_243883,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| leq(host(sK8),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207875,c_203870]) ).
tcf(c_243886,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_207875,c_208821]) ).
tcf(c_243890,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ( s(s(nbr_proc)) = X0 )
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_207875,c_109]) ).
tcf(c_243891,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_207875,c_106]) ).
tcf(c_243900,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(s(X1)))
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_207875,c_203670]) ).
tcf(c_243901,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(s(zero),s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207875,c_202048]) ).
tcf(c_243903,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(nbr_proc)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_207875,c_204001]) ).
tcf(c_243920,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_207875,c_214130]) ).
tcf(c_243926,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(s(zero),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_207875,c_202065]) ).
tcf(c_243948,plain,
( leq(s(zero),s(host(sK2)))
| leq(host(sK8),s(s(nbr_proc)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_207875,c_202057]) ).
tcf(c_243964,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_207875,c_208821]) ).
tcf(c_243967,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_207875,c_202047]) ).
tcf(c_243968,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| ( s(X0) = s(zero) )
| ~ leq(s(X0),s(zero)) ),
inference(superposition,[status(thm)],[c_207875,c_109]) ).
tcf(c_243969,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X0,s(s(nbr_proc)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207875,c_106]) ).
tcf(c_243973,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(s(nbr_proc)))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_207875,c_203670]) ).
tcf(c_243974,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,s(s(nbr_proc)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_207875,c_202048]) ).
tcf(c_244012,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),nbr_proc)
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(light_normalisation,[status(thm)],[c_243880,c_202443]) ).
tcf(c_244089,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_207876,c_208821]) ).
tcf(c_244093,plain,
( ( s(s(s(s(s(s(nbr_proc)))))) = s(zero) )
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),s(zero)) ),
inference(superposition,[status(thm)],[c_207876,c_109]) ).
tcf(c_244094,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),X0) ),
inference(superposition,[status(thm)],[c_207876,c_106]) ).
tcf(c_244098,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_207876,c_203670]) ).
tcf(c_244099,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(s(s(nbr_proc)))))))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_207876,c_202048]) ).
tcf(c_244178,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(sK10(sK6,sK8))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_234197]) ).
tcf(c_244181,plain,
( leq(zero,s(s(sK10(sK6,sK8))))
| ( s(s(s(sK10(sK6,sK8)))) = zero )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203458,c_234197]) ).
tcf(c_244203,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(sK10(sK7,sK8))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_234434]) ).
tcf(c_244206,plain,
( leq(zero,s(s(sK10(sK7,sK8))))
| ( s(s(s(sK10(sK7,sK8)))) = zero )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203458,c_234434]) ).
tcf(c_244221,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208882,c_234688]) ).
tcf(c_244222,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(nbr_proc,s(nbr_proc))
| leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_222536,c_234688]) ).
tcf(c_244228,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(nbr_proc,s(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_234688]) ).
tcf(c_244229,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(nbr_proc,s(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_234688]) ).
tcf(c_244230,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_234688]) ).
tcf(c_244231,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(nbr_proc,s(X1))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_234688]) ).
tcf(c_244238,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(nbr_proc,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208028,c_234688]) ).
tcf(c_244243,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203812,c_234688]) ).
tcf(c_244244,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(host(sK2)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_234688]) ).
tcf(c_244255,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(X1))
| leq(X1,host(sK8))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_211595,c_234688]) ).
tcf(c_244256,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(X1))
| leq(X1,host(sK8))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208856,c_234688]) ).
tcf(c_244259,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,host(sK2))
| leq(X0,s(X1))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_234688]) ).
tcf(c_244260,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X2))
| leq(X2,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208028,c_234688]) ).
tcf(c_244267,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_223259,c_234688]) ).
tcf(c_244292,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(s(X0)))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207157,c_234688]) ).
tcf(c_244313,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_222536,c_234688]) ).
tcf(c_244318,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(s(s(s(s(nbr_proc))))))))) ),
inference(superposition,[status(thm)],[c_204795,c_234688]) ).
tcf(c_244319,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(s(s(X0))))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208344,c_234688]) ).
tcf(c_244327,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_234688]) ).
tcf(c_244331,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_230099,c_234688]) ).
tcf(c_244332,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208882,c_234688]) ).
tcf(c_244338,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_208034,c_234688]) ).
tcf(c_244709,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(s(s(s(X0)))) = nbr_proc )
| ~ leq(s(s(s(s(X0)))),nbr_proc) ),
inference(superposition,[status(thm)],[c_235755,c_109]) ).
tcf(c_244711,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(X0))))
| ( s(s(s(s(X0)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_235755,c_114]) ).
tcf(c_244726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),
inference(superposition,[status(thm)],[c_241919,c_135]) ).
tcf(c_244727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33) != q_nil,
inference(superposition,[status(thm)],[c_241919,c_137]) ).
tcf(c_244728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33)),
inference(superposition,[status(thm)],[c_241919,c_101]) ).
tcf(c_244729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34)) ),
inference(superposition,[status(thm)],[c_241919,c_102]) ).
tcf(c_244730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34)) ),
inference(superposition,[status(thm)],[c_241919,c_103]) ).
tcf(c_244731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X0)),
inference(superposition,[status(thm)],[c_241919,c_203176]) ).
tcf(c_244732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),m_Ldr(X33)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32))) ),
inference(superposition,[status(thm)],[c_241919,c_203178]) ).
tcf(c_244733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X0))),
inference(superposition,[status(thm)],[c_241919,c_203596]) ).
tcf(c_244734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X0)))),
inference(superposition,[status(thm)],[c_241919,c_207142]) ).
tcf(c_244737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),m_Ldr(X33)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32)) ),
inference(light_normalisation,[status(thm)],[c_244732,c_239230]) ).
tcf(c_244755,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(host(X1),X2)
| leq(nbr_proc,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223259,c_203949]) ).
tcf(c_244756,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(host(sK8),X0)
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208882,c_203949]) ).
tcf(c_244757,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_222536,c_203949]) ).
tcf(c_244758,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,nbr_proc)
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208857,c_203949]) ).
tcf(c_244763,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,s(X0))
| leq(s(X2),nbr_proc)
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227726,c_203949]) ).
tcf(c_244764,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,s(X0))
| leq(X2,s(nbr_proc))
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227724,c_203949]) ).
tcf(c_244765,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(sK8),X0)
| leq(s(X2),nbr_proc)
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_209669,c_203949]) ).
tcf(c_244766,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,s(X0))
| leq(X2,host(sK8))
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208833,c_203949]) ).
tcf(c_244767,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,host(sK8))
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_219292,c_203949]) ).
tcf(c_244770,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,host(sK8))
| leq(host(X1),s(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211595,c_203949]) ).
tcf(c_244773,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(host(X1),s(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208028,c_203949]) ).
tcf(c_244775,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),s(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203736,c_203949]) ).
tcf(c_244776,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),s(X1))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_203949]) ).
tcf(c_244777,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),s(X2))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_201841,c_203949]) ).
tcf(c_244778,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),s(X1))
| ~ leq(X0,X1)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_116,c_203949]) ).
tcf(c_244781,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_120,c_203949]) ).
tcf(c_244783,plain,
! [X0: $i] :
( leq(host(X0),s(host(sK2)))
| ( host(sK2) = host(sK7) )
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_203812,c_203949]) ).
tcf(c_244784,plain,
! [X0: $i] :
( leq(host(X0),s(host(sK2)))
| ~ leq(nbr_proc,nbr_proc)
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_203949]) ).
tcf(c_244790,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(host(X1),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208833,c_203949]) ).
tcf(c_244791,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(host(X1),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_219292,c_203949]) ).
tcf(c_244792,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),host(sK8))
| ( X0 = nbr_proc )
| ~ leq(nbr_proc,X0)
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_203949]) ).
tcf(c_244793,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(host(X1),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203667,c_203949]) ).
tcf(c_244794,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_201592,c_203949]) ).
tcf(c_244795,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_201706,c_203949]) ).
tcf(c_244798,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_201871,c_203949]) ).
tcf(c_244805,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X0)
| leq(host(X2),X1)
| ( s(X0) = X1 )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203458,c_203949]) ).
tcf(c_244806,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(host(sK8),X0)
| leq(host(X1),X2)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208855,c_203949]) ).
tcf(c_244809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,X3)
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208818,c_203949]) ).
tcf(c_244810,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(host(X1),X2)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222343,c_203949]) ).
tcf(c_244811,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(host(X1),X2)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_208826,c_203949]) ).
tcf(c_244812,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),X1)
| leq(X1,s(s(nbr_proc)))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_223102,c_203949]) ).
tcf(c_244813,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),X1)
| ~ leq(nbr_proc,X1)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_202052,c_203949]) ).
tcf(c_244814,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ iPr_def_12
| ~ leq(host(sK8),X0)
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_202150,c_203949]) ).
tcf(c_244817,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_203421,c_203949]) ).
tcf(c_244819,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(host(X0),X1)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_209674,c_203949]) ).
tcf(c_244820,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ iPr_def_12
| ~ leq(host(sK8),X0)
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_202159,c_203949]) ).
tcf(c_244824,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_203604,c_203949]) ).
tcf(c_244826,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(host(X0),X1)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_209675,c_203949]) ).
tcf(c_244827,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(X0))
| leq(host(X1),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211595,c_203949]) ).
tcf(c_244828,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X2,s(X0))
| leq(host(X1),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208856,c_203949]) ).
tcf(c_244829,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(sK8),X0)
| leq(host(X2),X1)
| ~ leq(nbr_proc,X1)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203853,c_203949]) ).
tcf(c_244830,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(host(X2),X1)
| ~ leq(nbr_proc,X1)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204257,c_203949]) ).
tcf(c_244833,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(host(X1),s(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204008,c_203949]) ).
tcf(c_244838,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203745,c_203949]) ).
tcf(c_244839,plain,
! [X0: $i] :
( leq(host(X0),s(zero))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_201949,c_203949]) ).
tcf(c_244840,plain,
! [X0: $i] :
( leq(host(X0),s(zero))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_201968,c_203949]) ).
tcf(c_244841,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_227726,c_203949]) ).
tcf(c_244842,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),nbr_proc)
| ~ leq(X0,zero)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_233811,c_203949]) ).
tcf(c_244843,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(sK8),X2)
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_203949]) ).
tcf(c_244844,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_206197,c_203949]) ).
tcf(c_244845,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204230,c_203949]) ).
tcf(c_244846,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_203668,c_203949]) ).
tcf(c_244847,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK2))
| leq(host(X0),s(X1))
| ( host(sK2) = host(sK7) )
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_227736,c_203949]) ).
tcf(c_244850,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),s(X1))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_203667,c_203949]) ).
tcf(c_244872,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,host(sK8))
| leq(host(X0),s(X1))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_208833,c_203949]) ).
tcf(c_244874,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(X0)))
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_203949]) ).
tcf(c_244875,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),s(s(X1)))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_203811,c_203949]) ).
tcf(c_244877,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X1),host(X2))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232931,c_203949]) ).
tcf(c_244879,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(s(X0)))
| leq(host(X1),host(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206392,c_203949]) ).
tcf(c_244880,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),s(X0))
| leq(host(X1),host(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204993,c_203949]) ).
tcf(c_244881,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(host(X1),host(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204430,c_203949]) ).
tcf(c_244882,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X0)
| leq(host(X1),host(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204992,c_203949]) ).
tcf(c_244883,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(host(X1),host(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204429,c_203949]) ).
tcf(c_244887,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),nbr_proc)
| leq(host(sK8),host(sK2))
| ~ elem(m_Ldr(X0),sK0)
| ~ leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_232180,c_203949]) ).
tcf(c_244895,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232939,c_203949]) ).
tcf(c_244896,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208850,c_203949]) ).
tcf(c_244897,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(X1),sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204361,c_203949]) ).
tcf(c_244901,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232940,c_203949]) ).
tcf(c_244902,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208851,c_203949]) ).
tcf(c_244903,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(X1),sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204616,c_203949]) ).
tcf(c_244907,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227724,c_203949]) ).
tcf(c_244908,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232984,c_203949]) ).
tcf(c_244909,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207601,c_203949]) ).
tcf(c_244910,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204010,c_203949]) ).
tcf(c_244911,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203973,c_203949]) ).
tcf(c_244914,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(s(s(s(X0)))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204514,c_203949]) ).
tcf(c_244928,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),s(s(X1)))
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207157,c_203949]) ).
tcf(c_244929,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(host(X1),s(s(X2)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206376,c_203949]) ).
tcf(c_244930,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),s(s(X1)))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207159,c_203949]) ).
tcf(c_244931,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),s(s(X2)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206375,c_203949]) ).
tcf(c_244932,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(s(X0)))
| leq(host(X1),s(host(X2)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207313,c_203949]) ).
tcf(c_244933,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X1),s(host(X2)))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233014,c_203949]) ).
tcf(c_244934,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),s(X0))
| leq(host(X1),s(host(X2)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206665,c_203949]) ).
tcf(c_244935,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X0)
| leq(host(X1),s(host(X2)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208896,c_203949]) ).
tcf(c_244936,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(host(X1),s(host(X2)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206666,c_203949]) ).
tcf(c_244937,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(host(X1),s(host(X2)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207190,c_203949]) ).
tcf(c_244938,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),s(sK10(sK6,sK8)))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208890,c_203949]) ).
tcf(c_244939,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),s(sK10(sK7,sK8)))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208891,c_203949]) ).
tcf(c_244940,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(host(X1),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207875,c_203949]) ).
tcf(c_244941,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233020,c_203949]) ).
tcf(c_244942,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),s(X0))
| leq(host(X1),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206984,c_203949]) ).
tcf(c_244943,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X0)))
| leq(host(X1),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206907,c_203949]) ).
tcf(c_244944,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),X0)
| leq(host(X1),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223102,c_203949]) ).
tcf(c_244945,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(X1),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208900,c_203949]) ).
tcf(c_244946,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(host(X1),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206674,c_203949]) ).
tcf(c_244947,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206886,c_203949]) ).
tcf(c_244948,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_206326,c_203949]) ).
tcf(c_244949,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X0)
| leq(host(X2),nbr_proc)
| leq(nbr_proc,s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223259,c_203949]) ).
tcf(c_244950,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_222536,c_203949]) ).
tcf(c_244951,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208857,c_203949]) ).
tcf(c_244954,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(host(X1),s(s(s(s(nbr_proc)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204788,c_203949]) ).
tcf(c_244956,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(X0))))
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208344,c_203949]) ).
tcf(c_244957,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),s(s(s(X1))))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_206383,c_203949]) ).
tcf(c_244958,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(X0))))
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_214574,c_203949]) ).
tcf(c_244959,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(s(X0)))
| leq(host(X1),s(s(X2)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206515,c_203949]) ).
tcf(c_244962,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(s(s(s(s(X0))))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206387,c_203949]) ).
tcf(c_244970,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(host(X1),host(X2))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_206181,c_203949]) ).
tcf(c_244971,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(X1))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_206186,c_203949]) ).
tcf(c_244972,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(X1))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_206187,c_203949]) ).
tcf(c_244975,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),s(X0))
| ~ leq(nbr_proc,host(X1))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223741,c_203949]) ).
tcf(c_244976,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),s(X1))
| ~ leq(nbr_proc,X1)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_223743,c_203949]) ).
tcf(c_244977,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(host(X1),s(X2))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222883,c_203949]) ).
tcf(c_244978,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(host(X1),s(X2))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222874,c_203949]) ).
tcf(c_244979,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(host(X1),s(s(s(X2))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206667,c_203949]) ).
tcf(c_244980,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),s(s(s(X2))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208835,c_203949]) ).
tcf(c_244989,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(host(X1),s(s(s(nbr_proc))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206899,c_203949]) ).
tcf(c_244990,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(host(X1),s(s(s(nbr_proc))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208858,c_203949]) ).
tcf(c_244991,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),s(s(s(nbr_proc))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208867,c_203949]) ).
tcf(c_244995,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(host(X1),s(s(host(X2))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207832,c_203949]) ).
tcf(c_244996,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(host(X1),s(s(host(X2))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208879,c_203949]) ).
tcf(c_244998,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_241022,c_203949]) ).
tcf(c_244999,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_224224,c_203949]) ).
tcf(c_245000,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208533,c_203949]) ).
tcf(c_245001,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_223697,c_203949]) ).
tcf(c_245002,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X2,s(X0))
| leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_230099,c_203949]) ).
tcf(c_245003,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(sK8),X2)
| leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208882,c_203949]) ).
tcf(c_245004,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),X0)
| leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_222343,c_203949]) ).
tcf(c_245005,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(host(X1),host(sK2))
| ( host(sK2) = host(sK7) )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227736,c_203949]) ).
tcf(c_245007,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(s(X0)))))
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215311,c_203949]) ).
tcf(c_245008,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),s(s(s(s(X1)))))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_210340,c_203949]) ).
tcf(c_245015,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(nbr_proc)))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222875,c_203949]) ).
tcf(c_245016,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(nbr_proc))))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222876,c_203949]) ).
tcf(c_245017,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(s(nbr_proc)))))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222877,c_203949]) ).
tcf(c_245018,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(s(s(nbr_proc))))))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222878,c_203949]) ).
tcf(c_245019,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(host(X1),s(s(X2)))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_225028,c_203949]) ).
tcf(c_245020,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),s(s(nbr_proc)))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_239445,c_203949]) ).
tcf(c_245023,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),s(s(X2)))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_239342,c_203949]) ).
tcf(c_245024,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_239350,c_203949]) ).
tcf(c_245025,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_239351,c_203949]) ).
tcf(c_245026,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(host(X1),s(host(X2)))
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_239439,c_203949]) ).
tcf(c_245063,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),s(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244850,c_111]) ).
tcf(c_245130,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),s(s(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244875,c_111]) ).
tcf(c_245162,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),s(s(s(X1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244957,c_111]) ).
tcf(c_245182,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(X0)))
| ~ leq(host(sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244874,c_111]) ).
tcf(c_245189,plain,
! [X0: $i] :
( leq(host(X0),s(host(sK2)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244784,c_111]) ).
tcf(c_245208,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),s(s(s(s(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245008,c_111]) ).
tcf(c_245212,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(X0))))
| ~ leq(host(sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244956,c_111]) ).
tcf(c_245239,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,host(sK8))
| leq(host(X0),s(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244872,c_111]) ).
tcf(c_245271,plain,
! [X0: $i] :
( leq(host(X0),s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244783,c_111]) ).
tcf(c_245330,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK2))
| leq(host(X0),s(X1))
| ( host(sK2) = host(sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244847,c_111]) ).
tcf(c_245822,plain,
( leq(host(sK8),nbr_proc)
| leq(s(s(zero)),s(nbr_proc))
| ( s(s(zero)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_208882,c_204157]) ).
tcf(c_245828,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(s(s(s(zero))),nbr_proc)
| ( s(s(zero)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_227726,c_204157]) ).
tcf(c_245829,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(s(s(zero)),s(nbr_proc))
| ( s(s(zero)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_227724,c_204157]) ).
tcf(c_245830,plain,
( leq(host(sK8),nbr_proc)
| leq(s(s(s(zero))),nbr_proc)
| ( s(s(zero)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_209669,c_204157]) ).
tcf(c_245831,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(s(s(zero)),host(sK8))
| ( s(s(zero)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_208833,c_204157]) ).
tcf(c_245837,plain,
( leq(nbr_proc,nbr_proc)
| leq(s(zero),host(sK8))
| ( s(s(zero)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_208856,c_204157]) ).
tcf(c_245844,plain,
( leq(s(zero),host(sK2))
| ( host(sK2) = host(sK7) )
| ( s(s(zero)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_227736,c_204157]) ).
tcf(c_245847,plain,
( leq(s(zero),host(sK8))
| ( s(s(zero)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203667,c_204157]) ).
tcf(c_245850,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),X0)
| ( s(s(zero)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_208833,c_204157]) ).
tcf(c_245852,plain,
( ( s(s(zero)) = nbr_proc )
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_204070,c_204157]) ).
tcf(c_245853,plain,
( leq(zero,host(sK8))
| ( s(s(zero)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203811,c_204157]) ).
tcf(c_245897,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208882,c_204411]) ).
tcf(c_245898,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_222536,c_204411]) ).
tcf(c_245904,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227726,c_204411]) ).
tcf(c_245905,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227724,c_204411]) ).
tcf(c_245906,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_209669,c_204411]) ).
tcf(c_245907,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208833,c_204411]) ).
tcf(c_245908,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,s(X0))
| leq(X1,host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_219292,c_204411]) ).
tcf(c_245910,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_230099,c_204411]) ).
tcf(c_245911,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(zero,s(X0))
| leq(X1,host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211595,c_204411]) ).
tcf(c_245912,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(zero,s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_230102,c_204411]) ).
tcf(c_245913,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(zero,s(X1))
| leq(X1,host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208856,c_204411]) ).
tcf(c_245914,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(nbr_proc,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208028,c_204411]) ).
tcf(c_245917,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_204411]) ).
tcf(c_245919,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_204411]) ).
tcf(c_245923,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| ( s(s(X0)) = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203801,c_204411]) ).
tcf(c_245924,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_238112,c_204411]) ).
tcf(c_245926,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,host(sK8))
| leq(X1,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_219292,c_204411]) ).
tcf(c_245927,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204411]) ).
tcf(c_245928,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203667,c_204411]) ).
tcf(c_245934,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ( s(X0) = X1 )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203458,c_204411]) ).
tcf(c_245935,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(host(sK8),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208855,c_204411]) ).
tcf(c_245936,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X1,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208818,c_204411]) ).
tcf(c_245937,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,host(sK8))
| leq(X1,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211595,c_204411]) ).
tcf(c_245938,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,host(sK8))
| leq(X1,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208856,c_204411]) ).
tcf(c_245939,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_204411]) ).
tcf(c_245940,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| ~ leq(nbr_proc,X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_204411]) ).
tcf(c_245941,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204008,c_204411]) ).
tcf(c_245942,plain,
! [X0: $i] :
( leq(zero,s(s(s(s(s(s(X0)))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203745,c_204411]) ).
tcf(c_245958,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(X1))
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232931,c_204411]) ).
tcf(c_245974,plain,
! [X0: $i] :
( leq(zero,sK10(sK6,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204361,c_204411]) ).
tcf(c_245980,plain,
! [X0: $i] :
( leq(zero,sK10(sK7,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204616,c_204411]) ).
tcf(c_245990,plain,
! [X0: $i] :
( leq(zero,s(s(s(s(s(s(s(X0))))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204514,c_204411]) ).
tcf(c_245992,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(zero,s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208024,c_204411]) ).
tcf(c_245993,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X1)))
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_204411]) ).
tcf(c_245994,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X1)))
| leq(X1,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206376,c_204411]) ).
tcf(c_245995,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X1)))
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_204411]) ).
tcf(c_245998,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(host(X1)))
| ~ leq(nbr_proc,X0)
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233014,c_204411]) ).
tcf(c_246001,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X0)))
| leq(zero,s(host(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206666,c_204411]) ).
tcf(c_246020,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X1)))
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206515,c_204411]) ).
tcf(c_246023,plain,
! [X0: $i] :
( leq(zero,s(s(s(s(s(s(s(s(X0)))))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206387,c_204411]) ).
tcf(c_246034,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(X0)))
| leq(zero,s(s(s(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_206667,c_204411]) ).
tcf(c_246035,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(zero,s(s(s(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208835,c_204411]) ).
tcf(c_246039,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X0)))
| leq(zero,s(s(host(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_207832,c_204411]) ).
tcf(c_246040,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,s(s(host(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208879,c_204411]) ).
tcf(c_246048,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(nbr_proc,s(s(X0)))
| ( host(sK2) = host(sK7) )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_227736,c_204411]) ).
tcf(c_246264,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK2),s(X0))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_245063]) ).
tcf(c_246271,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,host(sK8))
| leq(host(X1),s(X2))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_245063,c_203949]) ).
tcf(c_246272,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),s(X1))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_245063,c_203913]) ).
tcf(c_246273,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(host(X1),nbr_proc)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_245063,c_211410]) ).
tcf(c_246274,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(sK8))
| leq(host(X2),nbr_proc)
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_245063,c_209486]) ).
tcf(c_246275,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(sK8))
| leq(host(X2),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_245063,c_208821]) ).
tcf(c_246276,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(host(X1),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_245063,c_205100]) ).
tcf(c_246278,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,host(sK8))
| leq(X1,s(X2))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_245063,c_202047]) ).
tcf(c_246279,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| ( host(X1) = s(X0) )
| ~ leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_245063,c_109]) ).
tcf(c_246280,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(sK8))
| leq(host(X2),X1)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_245063,c_106]) ).
tcf(c_246281,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),X1)
| ( host(X0) = s(X1) ) ),
inference(superposition,[status(thm)],[c_245063,c_114]) ).
tcf(c_246288,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| ( host(X0) = s(zero) ) ),
inference(superposition,[status(thm)],[c_245063,c_202335]) ).
tcf(c_246290,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_245063,c_202057]) ).
tcf(c_246366,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X0)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_207886,c_208821]) ).
tcf(c_246370,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(s(X0)) = s(zero) )
| ~ leq(s(s(X0)),s(zero)) ),
inference(superposition,[status(thm)],[c_207886,c_109]) ).
tcf(c_246371,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(s(zero),X1)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207886,c_106]) ).
tcf(c_246376,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(s(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_207886,c_203670]) ).
tcf(c_246377,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(s(X1)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_207886,c_202048]) ).
tcf(c_246471,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X0,host(sK8))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208811,c_203804]) ).
tcf(c_246472,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(sK8))
| leq(host(sK8),X1)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_208811,c_204714]) ).
tcf(c_246474,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(sK8),X2)
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208811,c_203949]) ).
tcf(c_246482,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| ( X0 = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208811,c_109]) ).
tcf(c_246492,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X2)
| leq(X2,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208811,c_202048]) ).
tcf(c_246498,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(host(sK8),X1)
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208811,c_218832]) ).
tcf(c_246501,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,nbr_proc)
| leq(host(sK8),X0)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208811,c_204463]) ).
tcf(c_246519,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208811,c_208639]) ).
tcf(c_246522,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208811,c_204171]) ).
tcf(c_246532,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(host(X1),nbr_proc)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208811,c_223145]) ).
tcf(c_246551,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(host(sK8),host(sK8))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208811,c_204714]) ).
tcf(c_246553,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(host(sK8),X0)
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208811,c_203949]) ).
tcf(c_246554,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(host(sK8),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208811,c_203913]) ).
tcf(c_246555,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208811,c_211410]) ).
tcf(c_246556,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,nbr_proc)
| leq(host(sK8),X2)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208811,c_209486]) ).
tcf(c_246557,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(host(sK8),X2)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208811,c_208821]) ).
tcf(c_246558,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(s(zero),X1)
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208811,c_205100]) ).
tcf(c_246561,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X1)
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208811,c_109]) ).
tcf(c_246567,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208811,c_233035]) ).
tcf(c_246581,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(host(sK8),s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208811,c_204411]) ).
tcf(c_246582,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,nbr_proc)
| leq(X0,host(sK8))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208811,c_203800]) ).
tcf(c_246583,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X1)
| leq(s(X1),X2)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208811,c_203670]) ).
tcf(c_246584,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X2)
| leq(host(sK8),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208811,c_202048]) ).
tcf(c_246585,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208811,c_204027]) ).
tcf(c_246586,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208811,c_204001]) ).
tcf(c_246591,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(host(sK8),nbr_proc)
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208811,c_218832]) ).
tcf(c_246594,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,nbr_proc)
| leq(X1,X2)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_208811,c_204463]) ).
tcf(c_246603,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208811,c_210335]) ).
tcf(c_246611,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208811,c_202065]) ).
tcf(c_246661,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(X1))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_208811,c_213503]) ).
tcf(c_246666,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(host(sK8),s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_208811,c_212912]) ).
tcf(c_246667,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(host(sK8),s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_208811,c_206597]) ).
tcf(c_246670,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(host(sK8),s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_208811,c_202069]) ).
tcf(c_246671,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(X0,s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208811,c_214522]) ).
tcf(c_246681,plain,
( leq(host(sK8),nbr_proc)
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208811,c_213049]) ).
tcf(c_246692,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(host(sK8),nbr_proc)
| leq(zero,s(X0)) ),
inference(superposition,[status(thm)],[c_208811,c_211410]) ).
tcf(c_246693,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(host(sK8),nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208811,c_209486]) ).
tcf(c_246695,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(host(sK8),nbr_proc)
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208811,c_205100]) ).
tcf(c_246698,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| ( host(sK8) = X0 )
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208811,c_109]) ).
tcf(c_246704,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X1)
| leq(s(host(sK8)),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208811,c_204891]) ).
tcf(c_246723,plain,
( leq(nbr_proc,host(sK8))
| leq(host(sK8),nbr_proc) ),
inference(equality_factoring,[status(thm)],[c_208811]) ).
tcf(c_246724,plain,
( leq(host(sK8),nbr_proc)
| leq(host(sK8),host(sK8)) ),
inference(equality_factoring,[status(thm)],[c_208811]) ).
tcf(c_246917,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(sK8))
| leq(s(zero),X1)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_208814,c_204714]) ).
tcf(c_246919,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),X2)
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208814,c_203949]) ).
tcf(c_246923,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(X1,s(nbr_proc))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208814,c_208821]) ).
tcf(c_246927,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| ( X0 = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208814,c_109]) ).
tcf(c_246936,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(s(zero),X0)
| leq(s(X2),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208814,c_203670]) ).
tcf(c_246937,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),X2)
| leq(X2,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208814,c_202048]) ).
tcf(c_246956,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(s(zero),X1)
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208814,c_214621]) ).
tcf(c_246963,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X0)
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208814,c_202065]) ).
tcf(c_246964,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208814,c_208639]) ).
tcf(c_246965,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208814,c_202430]) ).
tcf(c_246977,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(X1),nbr_proc)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208814,c_223145]) ).
tcf(c_246996,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(s(zero),host(sK8))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208814,c_204714]) ).
tcf(c_246998,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(s(zero),X0)
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208814,c_203949]) ).
tcf(c_247000,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208814,c_211410]) ).
tcf(c_247001,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,nbr_proc)
| leq(s(zero),X2)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208814,c_209486]) ).
tcf(c_247002,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(s(zero),X2)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208814,c_208821]) ).
tcf(c_247003,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(s(zero),X1)
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208814,c_205100]) ).
tcf(c_247006,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),X1)
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208814,c_109]) ).
tcf(c_247007,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(X2,X1)
| leq(s(zero),X2)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208814,c_106]) ).
tcf(c_247012,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(s(zero),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208814,c_233035]) ).
tcf(c_247028,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X1)
| leq(s(X1),X2)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208814,c_203670]) ).
tcf(c_247029,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X2)
| leq(s(zero),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208814,c_202048]) ).
tcf(c_247031,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208814,c_204001]) ).
tcf(c_247056,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208814,c_202065]) ).
tcf(c_247065,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(s(zero),s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208814,c_208639]) ).
tcf(c_247103,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X0)
| leq(s(zero),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208814,c_202057]) ).
tcf(c_247136,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(s(zero),X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208814,c_208821]) ).
tcf(c_247140,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| ( s(zero) = X0 )
| ~ leq(X0,s(zero)) ),
inference(superposition,[status(thm)],[c_208814,c_109]) ).
tcf(c_247141,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X2)
| leq(s(zero),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208814,c_106]) ).
tcf(c_247151,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK6,sK8),X0)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_208814,c_201931]) ).
tcf(c_247152,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK7,sK8),X0)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_208814,c_201932]) ).
tcf(c_247154,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,X1)
| leq(zero,host(sK8)) ),
inference(superposition,[status(thm)],[c_208814,c_203800]) ).
tcf(c_247155,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,nbr_proc)
| leq(X1,X2)
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208814,c_203670]) ).
tcf(c_247156,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_208814,c_202048]) ).
tcf(c_247161,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| ( s(zero) = nbr_proc )
| ~ leq(host(sK8),zero) ),
inference(superposition,[status(thm)],[c_208814,c_208639]) ).
tcf(c_247382,plain,
! [X0: $i] :
( ( s(s(s(X0))) = host(sK8) )
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(X0))),host(sK8)) ),
inference(superposition,[status(thm)],[c_236238,c_109]) ).
tcf(c_247383,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_236238,c_106]) ).
tcf(c_247384,plain,
! [X0: $i] :
( leq(host(sK8),s(s(X0)))
| ( s(s(s(X0))) = host(sK8) )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_236238,c_114]) ).
tcf(c_247411,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(host(X1),nbr_proc)
| ( X0 = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_238534,c_203949]) ).
tcf(c_247414,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(s(X0),nbr_proc)
| leq(host(X1),nbr_proc)
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238534,c_209486]) ).
tcf(c_247415,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(nbr_proc))
| leq(s(X0),X1)
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238534,c_208821]) ).
tcf(c_247418,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(s(X0),X1)
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238534,c_202047]) ).
tcf(c_247428,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X0,X1)
| leq(s(X1),nbr_proc)
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238534,c_203670]) ).
tcf(c_247429,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| ( X1 = nbr_proc )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_238534,c_202048]) ).
tcf(c_247437,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0)))
| ( s(s(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238534,c_210335]) ).
tcf(c_247438,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| ( s(s(X0)) = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_238534,c_214621]) ).
tcf(c_247442,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ( X0 = nbr_proc )
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_238534,c_208639]) ).
tcf(c_247469,plain,
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( s(s(s(s(nbr_proc)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238534,c_204770]) ).
tcf(c_247471,plain,
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| ( s(s(s(s(s(nbr_proc))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238534,c_211870]) ).
tcf(c_247516,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,sK10(sK6,sK8))
| leq(s(zero),s(host(sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_203804]) ).
tcf(c_247517,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),s(host(sK8)))
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),X0) ),
inference(superposition,[status(thm)],[c_204362,c_204714]) ).
tcf(c_247518,plain,
( leq(nbr_proc,s(sK10(sK6,sK8)))
| leq(s(zero),s(host(sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_202428]) ).
tcf(c_247519,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(host(X1),sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204362,c_203949]) ).
tcf(c_247522,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(X1))
| leq(host(X0),sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_209486]) ).
tcf(c_247523,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_208821]) ).
tcf(c_247527,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ( sK10(sK6,sK8) = X0 )
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_204362,c_109]) ).
tcf(c_247528,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| ~ iPr_def_11
| ~ leq(sK10(sK6,sK8),X0) ),
inference(superposition,[status(thm)],[c_204362,c_106]) ).
tcf(c_247535,plain,
( leq(s(zero),s(host(sK8)))
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_201741]) ).
tcf(c_247536,plain,
! [X0: $i] :
( leq(zero,sK10(sK6,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204362,c_204411]) ).
tcf(c_247537,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,sK10(sK6,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_203800]) ).
tcf(c_247538,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(s(X1)))
| leq(s(X0),sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_203670]) ).
tcf(c_247539,plain,
! [X0: $i,X1: $i] :
( leq(X0,sK10(sK6,sK8))
| leq(s(zero),s(s(X1)))
| ~ iPr_def_11
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204362,c_202048]) ).
tcf(c_247540,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,sK10(sK6,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_204027]) ).
tcf(c_247541,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,sK10(sK6,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_204001]) ).
tcf(c_247557,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK6,sK8)))
| leq(s(zero),s(s(s(s(X0)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_210335]) ).
tcf(c_247558,plain,
! [X0: $i] :
( leq(nbr_proc,sK10(sK6,sK8))
| leq(s(zero),s(s(s(s(X0)))))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204362,c_214621]) ).
tcf(c_247559,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK6,sK8))
| leq(s(zero),s(s(s(s(X0)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_214130]) ).
tcf(c_247565,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| leq(s(zero),s(s(s(s(s(X0))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_202065]) ).
tcf(c_247584,plain,
( leq(s(zero),s(host(sK2)))
| leq(host(sK8),sK10(sK6,sK8))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_202057]) ).
tcf(c_247600,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(X1,sK10(sK6,sK8))
| leq(X0,s(s(X1)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_208821]) ).
tcf(c_247603,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(X0))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_202047]) ).
tcf(c_247604,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| ( s(X0) = s(zero) )
| ~ iPr_def_11
| ~ leq(s(X0),s(zero)) ),
inference(superposition,[status(thm)],[c_204362,c_109]) ).
tcf(c_247605,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_204362,c_106]) ).
tcf(c_247606,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,sK10(sK6,sK8))
| ( s(X0) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_114]) ).
tcf(c_247610,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,sK10(sK6,sK8))
| leq(s(X0),s(X1))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_203670]) ).
tcf(c_247611,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204362,c_202048]) ).
tcf(c_247613,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_204001]) ).
tcf(c_247617,plain,
( leq(s(zero),nbr_proc)
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(light_normalisation,[status(thm)],[c_247535,c_202443]) ).
tcf(c_247622,plain,
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(light_normalisation,[status(thm)],[c_247518,c_202443]) ).
tcf(c_247693,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(light_normalisation,[status(thm)],[c_247516,c_202443]) ).
tcf(c_247698,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),nbr_proc)
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),X0) ),
inference(light_normalisation,[status(thm)],[c_247517,c_202443]) ).
tcf(c_247742,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(s(s(sK10(sK6,sK8)))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204369,c_208821]) ).
tcf(c_247746,plain,
( ( s(s(s(s(sK10(sK6,sK8))))) = s(zero) )
| ~ iPr_def_11
| ~ leq(s(s(s(s(sK10(sK6,sK8))))),s(zero)) ),
inference(superposition,[status(thm)],[c_204369,c_109]) ).
tcf(c_247747,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_11
| ~ leq(s(s(s(s(sK10(sK6,sK8))))),X0) ),
inference(superposition,[status(thm)],[c_204369,c_106]) ).
tcf(c_247748,plain,
( leq(s(zero),s(s(s(sK10(sK6,sK8)))))
| ( s(s(s(s(sK10(sK6,sK8))))) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204369,c_114]) ).
tcf(c_247752,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(s(s(sK10(sK6,sK8))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204369,c_203670]) ).
tcf(c_247753,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(sK10(sK6,sK8))))))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204369,c_202048]) ).
tcf(c_247755,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(sK10(sK6,sK8))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204369,c_204001]) ).
tcf(c_247780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),
inference(superposition,[status(thm)],[c_244726,c_135]) ).
tcf(c_247781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34) != q_nil,
inference(superposition,[status(thm)],[c_244726,c_137]) ).
tcf(c_247782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34)),
inference(superposition,[status(thm)],[c_244726,c_101]) ).
tcf(c_247783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35)) ),
inference(superposition,[status(thm)],[c_244726,c_102]) ).
tcf(c_247784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35)) ),
inference(superposition,[status(thm)],[c_244726,c_103]) ).
tcf(c_247785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X0)),
inference(superposition,[status(thm)],[c_244726,c_203176]) ).
tcf(c_247786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),m_Ldr(X34)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33))) ),
inference(superposition,[status(thm)],[c_244726,c_203178]) ).
tcf(c_247787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X0))),
inference(superposition,[status(thm)],[c_244726,c_203596]) ).
tcf(c_247788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X0)))),
inference(superposition,[status(thm)],[c_244726,c_207142]) ).
tcf(c_247791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),m_Ldr(X34)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33)) ),
inference(light_normalisation,[status(thm)],[c_247786,c_241919]) ).
tcf(c_247814,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(s(zero),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208814,c_204511]) ).
tcf(c_247815,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(host(sK8),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208811,c_204511]) ).
tcf(c_247816,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(nbr_proc,s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_223259,c_204511]) ).
tcf(c_247817,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208882,c_204511]) ).
tcf(c_247819,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208857,c_204511]) ).
tcf(c_247824,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_227726,c_204511]) ).
tcf(c_247825,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_227724,c_204511]) ).
tcf(c_247826,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_209669,c_204511]) ).
tcf(c_247827,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_208833,c_204511]) ).
tcf(c_247828,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_219292,c_204511]) ).
tcf(c_247830,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_230099,c_204511]) ).
tcf(c_247831,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(X0,s(X1))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_211595,c_204511]) ).
tcf(c_247833,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208856,c_204511]) ).
tcf(c_247834,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(nbr_proc,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_208028,c_204511]) ).
tcf(c_247837,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| ~ leq(s(s(s(s(s(X0))))),X1) ),
inference(superposition,[status(thm)],[c_113,c_204511]) ).
tcf(c_247843,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,host(sK8))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_208833,c_204511]) ).
tcf(c_247845,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( s(s(s(s(s(X0))))) = nbr_proc )
| ~ leq(s(s(s(s(s(X0))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204511]) ).
tcf(c_247850,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(s(s(X0)))))
| ( s(s(s(s(s(X0))))) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_204511]) ).
tcf(c_247852,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_208818,c_204511]) ).
tcf(c_247853,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,host(sK8))
| leq(X0,s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_211595,c_204511]) ).
tcf(c_247854,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(sK8))
| leq(X0,s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_208856,c_204511]) ).
tcf(c_247855,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(s(s(s(X1)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_204511]) ).
tcf(c_247856,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(s(s(X1)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_204511]) ).
tcf(c_247857,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(X0,s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_204008,c_204511]) ).
tcf(c_247861,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ~ leq(s(s(s(s(X0)))),zero) ),
inference(superposition,[status(thm)],[c_233811,c_204511]) ).
tcf(c_247867,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(zero,s(s(s(s(s(s(s(s(X0))))))))) ),
inference(superposition,[status(thm)],[c_207319,c_204511]) ).
tcf(c_247868,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| ~ leq(s(s(s(s(s(X0))))),zero) ),
inference(superposition,[status(thm)],[c_232931,c_204511]) ).
tcf(c_247869,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(s(zero),s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_206391,c_204511]) ).
tcf(c_247875,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| leq(s(zero),s(s(s(s(s(s(X0)))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_204511]) ).
tcf(c_247876,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(s(s(s(s(X0))))),zero) ),
inference(superposition,[status(thm)],[c_232939,c_204511]) ).
tcf(c_247877,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| leq(zero,s(s(s(s(s(X0))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_204511]) ).
tcf(c_247879,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(s(s(s(s(X0))))),zero) ),
inference(superposition,[status(thm)],[c_232940,c_204511]) ).
tcf(c_247880,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| leq(zero,s(s(s(s(s(X0))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_204511]) ).
tcf(c_247881,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| leq(s(zero),s(s(s(s(s(X0))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_204511]) ).
tcf(c_247882,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_227724,c_204511]) ).
tcf(c_247883,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ~ leq(s(s(s(s(s(X0))))),zero) ),
inference(superposition,[status(thm)],[c_232984,c_204511]) ).
tcf(c_247884,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(zero),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_207601,c_204511]) ).
tcf(c_247885,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_204010,c_204511]) ).
tcf(c_247889,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(s(X1)))
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208024,c_204511]) ).
tcf(c_247890,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(X1)))
| ~ leq(s(s(s(s(s(s(X0)))))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_204511]) ).
tcf(c_247894,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| leq(zero,s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_207313,c_204511]) ).
tcf(c_247895,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| ~ leq(s(s(s(s(s(X0))))),zero) ),
inference(superposition,[status(thm)],[c_233014,c_204511]) ).
tcf(c_247896,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(host(X1)))
| leq(s(zero),s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_206665,c_204511]) ).
tcf(c_247900,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK6,sK8)))
| leq(zero,s(s(s(s(s(X0))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_204511]) ).
tcf(c_247901,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK7,sK8)))
| leq(zero,s(s(s(s(s(X0))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_204511]) ).
tcf(c_247902,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(s(zero),s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_207875,c_204511]) ).
tcf(c_247903,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| ~ leq(s(s(s(s(s(X0))))),zero) ),
inference(superposition,[status(thm)],[c_233020,c_204511]) ).
tcf(c_247904,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(host(sK8),s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_206984,c_204511]) ).
tcf(c_247905,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(zero,s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_206907,c_204511]) ).
tcf(c_247906,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(nbr_proc)))
| leq(host(X0),s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_223102,c_204511]) ).
tcf(c_247911,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X0)
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_208814,c_204511]) ).
tcf(c_247916,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(s(s(X0))))))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204785,c_204511]) ).
tcf(c_247918,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(nbr_proc)))))
| leq(nbr_proc,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_204788,c_204511]) ).
tcf(c_247919,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(X0)))
| leq(X0,s(s(s(s(s(s(s(X1)))))))) ),
inference(superposition,[status(thm)],[c_206515,c_204511]) ).
tcf(c_247920,plain,
! [X0: $i] : leq(X0,s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))),
inference(superposition,[status(thm)],[c_206387,c_204511]) ).
tcf(c_247922,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(s(X0))))
| leq(X0,s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_206667,c_204511]) ).
tcf(c_247924,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| leq(zero,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_206899,c_204511]) ).
tcf(c_247925,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| leq(host(sK8),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208858,c_204511]) ).
tcf(c_247927,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(host(X1))))
| leq(zero,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_207832,c_204511]) ).
tcf(c_247932,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_230099,c_204511]) ).
tcf(c_247933,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_208882,c_204511]) ).
tcf(c_247934,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(X0),s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_222343,c_204511]) ).
tcf(c_247935,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(nbr_proc,s(s(s(s(s(s(X0)))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_204511]) ).
tcf(c_248323,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_206197,c_204564]) ).
tcf(c_248326,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202050,c_204564]) ).
tcf(c_248328,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,host(sK8))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208811,c_204564]) ).
tcf(c_248330,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(X0,host(sK8))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_204564]) ).
tcf(c_248337,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,host(sK8))
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_204564]) ).
tcf(c_248339,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,host(sK8))
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_204564]) ).
tcf(c_248341,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_204564]) ).
tcf(c_248343,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(zero,s(X0))
| leq(X1,host(sK8))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_230099,c_204564]) ).
tcf(c_248344,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(zero,s(X0))
| leq(X1,host(sK8))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_211595,c_204564]) ).
tcf(c_248345,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(zero,s(X1))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_230102,c_204564]) ).
tcf(c_248346,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(zero,s(X0))
| leq(X1,host(sK8))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208856,c_204564]) ).
tcf(c_248350,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X0,host(sK8))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_204564]) ).
tcf(c_248352,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X0,host(sK8))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_204564]) ).
tcf(c_248359,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X1,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_219292,c_204564]) ).
tcf(c_248370,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X1,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_204564]) ).
tcf(c_248371,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X1,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_204564]) ).
tcf(c_248373,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_204564]) ).
tcf(c_248393,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(X1))
| leq(X0,host(sK8))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232931,c_204564]) ).
tcf(c_248395,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(X1))
| leq(X0,host(sK8))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206392,c_204564]) ).
tcf(c_248406,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(zero),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204158,c_204564]) ).
tcf(c_248407,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(zero,sK10(sK6,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_204564]) ).
tcf(c_248430,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(zero,s(s(X1)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_204564]) ).
tcf(c_248432,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(zero,s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_204564]) ).
tcf(c_248434,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(zero,s(host(X1)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207313,c_204564]) ).
tcf(c_248435,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(zero,s(host(X1)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233014,c_204564]) ).
tcf(c_248459,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(zero,s(s(X0)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206515,c_204564]) ).
tcf(c_248463,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(zero,s(s(s(s(s(s(s(s(X0))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_204564]) ).
tcf(c_248494,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202443,c_204564]) ).
tcf(c_248631,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X2,host(sK8))
| leq(X0,s(X2))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208820,c_204714]) ).
tcf(c_248633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,s(X3))
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_203949]) ).
tcf(c_248634,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),X1)
| leq(X1,s(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_203913]) ).
tcf(c_248635,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(zero,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_211410]) ).
tcf(c_248636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X2,X3)
| leq(X1,s(X2))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208820,c_209486]) ).
tcf(c_248637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X2)
| leq(X1,X3)
| leq(X2,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_208821]) ).
tcf(c_248641,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,s(X2))
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208820,c_109]) ).
tcf(c_248642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X1)
| leq(X2,X3)
| leq(X0,s(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208820,c_106]) ).
tcf(c_248643,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X1,X0)
| leq(s(X0),s(X2))
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_208820,c_114]) ).
tcf(c_248646,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK2))
| leq(host(X0),s(X1))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_208820,c_203633]) ).
tcf(c_248647,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(host(sK8),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_233035]) ).
tcf(c_248648,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(X1))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208820,c_208692]) ).
tcf(c_248650,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(s(X2),X0)
| leq(host(sK8),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_204891]) ).
tcf(c_248656,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),s(X0))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_208820,c_201931]) ).
tcf(c_248657,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),s(X0))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_208820,c_201932]) ).
tcf(c_248659,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(sK10(sK6,sK8),s(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208820,c_201741]) ).
tcf(c_248660,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(sK10(sK7,sK8),s(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208820,c_201742]) ).
tcf(c_248661,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,host(sK8))
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_204564]) ).
tcf(c_248662,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,s(X0))
| leq(X1,s(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_204411]) ).
tcf(c_248663,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X2,host(sK8))
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_203800]) ).
tcf(c_248664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,s(X3))
| leq(X1,s(X2))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208820,c_203670]) ).
tcf(c_248665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X0,X2)
| leq(X3,s(X1))
| leq(X2,s(X3))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208820,c_202048]) ).
tcf(c_248666,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,nbr_proc)
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_204027]) ).
tcf(c_248667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,X3)
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_204001]) ).
tcf(c_248668,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_203735]) ).
tcf(c_248675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X3)
| leq(X3,X0)
| leq(X1,host(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_204463]) ).
tcf(c_248676,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(X2))
| leq(X0,s(X1))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208820,c_207779]) ).
tcf(c_248677,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(X2))
| leq(X0,s(X1))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208820,c_204994]) ).
tcf(c_248679,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X0)
| leq(X1,host(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_202051]) ).
tcf(c_248681,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(X1,s(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_206377]) ).
tcf(c_248682,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X1,nbr_proc)
| leq(X2,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_206704]) ).
tcf(c_248684,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(X1,s(X2))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208820,c_210335]) ).
tcf(c_248685,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X2,s(X1))
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_214621]) ).
tcf(c_248686,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X1,nbr_proc)
| leq(X2,s(X0))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208820,c_214130]) ).
tcf(c_248687,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(X0))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208820,c_202061]) ).
tcf(c_248690,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208820,c_203787]) ).
tcf(c_248691,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(X0))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208820,c_202064]) ).
tcf(c_248692,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(X0))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208820,c_202065]) ).
tcf(c_248693,plain,
! [X0: $i] :
( leq(X0,sK10(sK6,sK8))
| leq(s(zero),s(X0))
| ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208820,c_202347]) ).
tcf(c_248694,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| leq(s(zero),s(X0))
| ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208820,c_202348]) ).
tcf(c_248696,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(X0))
| leq(s(zero),s(X1))
| ( host(X0) = s(zero) ) ),
inference(superposition,[status(thm)],[c_208820,c_202335]) ).
tcf(c_248703,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X1,nbr_proc)
| leq(X2,X0)
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_220294]) ).
tcf(c_248704,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X0)
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_207255]) ).
tcf(c_248706,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X0)
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_202431]) ).
tcf(c_248712,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_204171]) ).
tcf(c_248716,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,s(X2))
| leq(X2,s(s(nbr_proc)))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_224023]) ).
tcf(c_248717,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,s(s(nbr_proc)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208820,c_213643]) ).
tcf(c_248719,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208820,c_206889]) ).
tcf(c_248722,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(host(X1),X2)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208820,c_223145]) ).
tcf(c_248723,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208820,c_210420]) ).
tcf(c_248724,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208820,c_206606]) ).
tcf(c_248725,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208820,c_202068]) ).
tcf(c_248731,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK6,sK8),s(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208820,c_203873]) ).
tcf(c_248732,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK7,sK8),s(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208820,c_203874]) ).
tcf(c_248734,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(X0))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208820,c_202070]) ).
tcf(c_248735,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208820,c_203989]) ).
tcf(c_248736,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(X1,host(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_233821]) ).
tcf(c_248738,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_233875]) ).
tcf(c_248740,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(s(zero)),s(X0))
| ( s(s(zero)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_208820,c_204157]) ).
tcf(c_248742,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(s(zero),s(X2))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_213503]) ).
tcf(c_248743,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(X0))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_207823]) ).
tcf(c_248747,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(X0))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208820,c_212912]) ).
tcf(c_248748,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X2)
| leq(X2,s(X0))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208820,c_206597]) ).
tcf(c_248749,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(X0))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208820,c_204502]) ).
tcf(c_248751,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(X0))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208820,c_202069]) ).
tcf(c_248752,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(X0))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_208820,c_204511]) ).
tcf(c_248761,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(X0))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208820,c_211870]) ).
tcf(c_248762,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208820,c_213049]) ).
tcf(c_248764,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK7))
| leq(host(X0),s(X1))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_208820,c_206837]) ).
tcf(c_248766,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(sK10(sK6,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208820,c_234197]) ).
tcf(c_248767,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(sK10(sK7,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208820,c_234434]) ).
tcf(c_248769,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X0,X2)
| leq(X2,s(host(sK8)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208820,c_204714]) ).
tcf(c_248771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,X3)
| leq(X3,s(X0))
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_203949]) ).
tcf(c_248772,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(s(zero),X2)
| leq(X1,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_203913]) ).
tcf(c_248774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X1,X2)
| leq(X2,s(X3))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208820,c_209486]) ).
tcf(c_248779,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,s(X1))
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208820,c_109]) ).
tcf(c_248780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X1)
| leq(X0,X2)
| leq(X2,s(X3))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208820,c_106]) ).
tcf(c_248786,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208820,c_208692]) ).
tcf(c_248788,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(sK8),X2)
| leq(X2,s(X1))
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_204891]) ).
tcf(c_248789,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(s(X1),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_202427]) ).
tcf(c_248800,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X1,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_204411]) ).
tcf(c_248802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X1,X2)
| leq(s(X2),X3)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_203670]) ).
tcf(c_248803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X2)
| leq(X0,X3)
| leq(X2,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208820,c_202048]) ).
tcf(c_248804,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X1,nbr_proc)
| leq(X2,X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_204027]) ).
tcf(c_248813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X3)
| leq(X3,X2)
| leq(X2,X0)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_204463]) ).
tcf(c_248823,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X2,X1)
| leq(X1,s(s(s(s(X0)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_214621]) ).
tcf(c_248824,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X1,nbr_proc)
| leq(X2,X0)
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208820,c_214130]) ).
tcf(c_248831,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(sK10(sK6,sK8)))
| ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208820,c_202347]) ).
tcf(c_248832,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(sK10(sK7,sK8)))
| ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208820,c_202348]) ).
tcf(c_248834,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(host(X0)))
| ( host(X0) = s(zero) ) ),
inference(superposition,[status(thm)],[c_208820,c_202335]) ).
tcf(c_248839,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(s(X0)))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208820,c_208639]) ).
tcf(c_248841,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(X1,s(nbr_proc))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208820,c_220294]) ).
tcf(c_248850,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X1,X0)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208820,c_204171]) ).
tcf(c_248860,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),X2)
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208820,c_223145]) ).
tcf(c_248872,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208820,c_202070]) ).
tcf(c_248873,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208820,c_203989]) ).
tcf(c_248877,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| leq(X0,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208820,c_202057]) ).
tcf(c_248886,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),X2)
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208820,c_206597]) ).
tcf(c_248889,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_208820,c_202069]) ).
tcf(c_248890,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(X0,s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_208820,c_204511]) ).
tcf(c_248899,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,X0)
| leq(X0,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_208820,c_211870]) ).
tcf(c_248902,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),X1)
| leq(X1,s(host(sK7)))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_208820,c_206837]) ).
tcf(c_248905,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(sK10(sK7,sK8))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208820,c_234434]) ).
tcf(c_248907,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X0,X2)
| leq(X2,host(sK8))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_208820,c_204714]) ).
tcf(c_248909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,X3)
| leq(host(X1),s(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_203949]) ).
tcf(c_248910,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(s(zero),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_203913]) ).
tcf(c_248911,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208820,c_211410]) ).
tcf(c_248912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X2,X3)
| leq(X1,X2)
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_209486]) ).
tcf(c_248913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,X3)
| leq(X1,X2)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_208821]) ).
tcf(c_248917,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| ( s(X0) = X1 )
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208820,c_109]) ).
tcf(c_248918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X1)
| leq(X2,X3)
| leq(X0,X2)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208820,c_106]) ).
tcf(c_248927,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(zero,s(X2))
| leq(X1,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_204411]) ).
tcf(c_248929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X1,X2)
| leq(X2,s(X3))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_203670]) ).
tcf(c_248930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X2)
| leq(X2,s(X1))
| leq(X0,s(X3))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208820,c_202048]) ).
tcf(c_248931,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(zero,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_204027]) ).
tcf(c_248932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X1,X2)
| leq(X2,s(X3))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_204001]) ).
tcf(c_248939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X2)
| leq(X3,X0)
| leq(X2,s(X3))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_204463]) ).
tcf(c_248945,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(s(X2)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_206377]) ).
tcf(c_248949,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(nbr_proc,s(X2))
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208820,c_214621]) ).
tcf(c_248950,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208820,c_214130]) ).
tcf(c_248957,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,sK10(sK6,sK8))
| ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208820,c_202347]) ).
tcf(c_248958,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,sK10(sK7,sK8))
| ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208820,c_202348]) ).
tcf(c_248960,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(X0))
| ( host(X0) = s(zero) ) ),
inference(superposition,[status(thm)],[c_208820,c_202335]) ).
tcf(c_248970,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(s(nbr_proc)))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_224023]) ).
tcf(c_248976,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),s(X2))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208820,c_223145]) ).
tcf(c_248981,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208820,c_202070]) ).
tcf(c_248983,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK2))
| leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208820,c_202057]) ).
tcf(c_248993,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(X2))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_208820,c_204511]) ).
tcf(c_248995,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208820,c_211870]) ).
tcf(c_250036,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,host(sK8))
| ~ leq(s(s(s(s(s(X0))))),X1) ),
inference(superposition,[status(thm)],[c_208838,c_204714]) ).
tcf(c_250038,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),s(s(s(s(X2)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208838,c_203949]) ).
tcf(c_250039,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(s(s(s(X1)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208838,c_203913]) ).
tcf(c_250041,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(host(X0),s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208838,c_209486]) ).
tcf(c_250046,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( s(s(s(s(X0)))) = X1 )
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_208838,c_109]) ).
tcf(c_250047,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_208838,c_106]) ).
tcf(c_250056,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(zero,s(s(s(s(X1)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208838,c_204411]) ).
tcf(c_250058,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(X2))
| leq(s(X0),s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208838,c_203670]) ).
tcf(c_250059,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X1))
| leq(X0,s(s(s(s(X2)))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208838,c_202048]) ).
tcf(c_250078,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(s(X0))))
| leq(nbr_proc,s(s(s(s(X1)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208838,c_214621]) ).
tcf(c_250079,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(s(s(X1))))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208838,c_214130]) ).
tcf(c_250105,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(nbr_proc)))))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208838,c_202070]) ).
tcf(c_250107,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(host(sK8),s(s(s(s(X0)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208838,c_202057]) ).
tcf(c_250116,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(s(s(X0)))))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_208838,c_204511]) ).
tcf(c_250118,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(s(X0)))))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208838,c_211870]) ).
tcf(c_250182,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,nbr_proc)
| leq(host(X1),X2)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208854,c_203949]) ).
tcf(c_250183,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(s(zero),X1)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208854,c_203913]) ).
tcf(c_250184,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_208854,c_211410]) ).
tcf(c_250185,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X1,nbr_proc)
| leq(s(X2),nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208854,c_209486]) ).
tcf(c_250186,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,nbr_proc)
| leq(X1,s(X2))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208854,c_208821]) ).
tcf(c_250187,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_208854,c_205100]) ).
tcf(c_250188,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,nbr_proc)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_208854,c_203571]) ).
tcf(c_250190,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| ( s(X1) = X0 )
| ~ leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208854,c_109]) ).
tcf(c_250191,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X0,nbr_proc)
| leq(s(X2),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208854,c_106]) ).
tcf(c_250192,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X0),nbr_proc)
| leq(s(X1),X0)
| ( s(X0) = s(X1) ) ),
inference(superposition,[status(thm)],[c_208854,c_114]) ).
tcf(c_250196,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| ( s(s(X0)) = nbr_proc )
| ~ leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208854,c_208692]) ).
tcf(c_250198,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(host(sK8),nbr_proc)
| leq(s(s(X1)),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208854,c_204891]) ).
tcf(c_250204,plain,
( leq(zero,zero)
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_208854,c_201931]) ).
tcf(c_250205,plain,
( leq(zero,zero)
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_208854,c_201932]) ).
tcf(c_250209,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,X0)
| leq(X1,nbr_proc)
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208854,c_203800]) ).
tcf(c_250333,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(zero,host(sK8))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_208864,c_204714]) ).
tcf(c_250335,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,nbr_proc)
| leq(host(X1),s(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208864,c_203949]) ).
tcf(c_250336,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(s(zero),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208864,c_203913]) ).
tcf(c_250343,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| ( s(X0) = X1 )
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208864,c_109]) ).
tcf(c_250344,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X0,nbr_proc)
| leq(X2,X1)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208864,c_106]) ).
tcf(c_250355,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(zero,s(X2))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208864,c_203670]) ).
tcf(c_250356,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(zero,s(X1))
| leq(X0,s(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208864,c_202048]) ).
tcf(c_250357,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(zero,s(X0)) ),
inference(superposition,[status(thm)],[c_208864,c_204027]) ).
tcf(c_250365,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(zero,host(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208864,c_204463]) ).
tcf(c_250376,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208864,c_214130]) ).
tcf(c_250409,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK2))
| leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208864,c_202057]) ).
tcf(c_250419,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208864,c_204511]) ).
tcf(c_250479,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(zero,s(s(X0)))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248659,c_211410]) ).
tcf(c_250480,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(X0),s(X1))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248659,c_209486]) ).
tcf(c_250481,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(sK10(sK6,sK8),X0)
| leq(X0,s(s(X1)))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248659,c_208821]) ).
tcf(c_250482,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(s(zero),s(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248659,c_205100]) ).
tcf(c_250485,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_12
| ~ leq(s(X0),sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_248659,c_109]) ).
tcf(c_250486,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(sK10(sK6,sK8),X1)
| ~ iPr_def_12
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_248659,c_106]) ).
tcf(c_250487,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248659,c_114]) ).
tcf(c_250488,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK8))
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_248659,c_203775]) ).
tcf(c_250489,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_248659,c_202063]) ).
tcf(c_250490,plain,
( leq(zero,host(sK8))
| ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_248659,c_202347]) ).
tcf(c_250588,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(zero,s(s(X0)))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248660,c_211410]) ).
tcf(c_250589,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(X0),s(X1))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248660,c_209486]) ).
tcf(c_250590,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(sK10(sK7,sK8),X0)
| leq(X0,s(s(X1)))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248660,c_208821]) ).
tcf(c_250591,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(s(zero),s(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248660,c_205100]) ).
tcf(c_250594,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_12
| ~ leq(s(X0),sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_248660,c_109]) ).
tcf(c_250595,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(sK10(sK7,sK8),X1)
| ~ iPr_def_12
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_248660,c_106]) ).
tcf(c_250596,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248660,c_114]) ).
tcf(c_250599,plain,
( leq(zero,host(sK8))
| ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_12
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_248660,c_202348]) ).
tcf(c_250652,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,host(sK2))
| leq(X0,s(X1))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_203804]) ).
tcf(c_250653,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,host(sK2))
| ~ elem(m_Ldr(sK8),sK0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_248646,c_204714]) ).
tcf(c_250654,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(nbr_proc,s(s(X0)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_202428]) ).
tcf(c_250659,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,host(sK2))
| leq(host(X0),X1)
| leq(X1,s(s(X2)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_208821]) ).
tcf(c_250662,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,host(sK2))
| leq(X1,s(X2))
| leq(host(X0),X1)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_202047]) ).
tcf(c_250663,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK2))
| ( host(X1) = s(X0) )
| ~ elem(m_Ldr(X1),sK0)
| ~ leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_248646,c_109]) ).
tcf(c_250664,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(sK2))
| leq(host(X2),X1)
| ~ elem(m_Ldr(X2),sK0)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_248646,c_106]) ).
tcf(c_250665,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK2))
| leq(host(X0),X1)
| ( host(X0) = s(X1) )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_114]) ).
tcf(c_250666,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,host(sK2))
| leq(X1,s(X2))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_204463]) ).
tcf(c_250667,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK2))
| leq(zero,s(s(s(X1))))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_207779]) ).
tcf(c_250668,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK2))
| leq(s(zero),s(s(X1)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_204994]) ).
tcf(c_250669,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK2))
| leq(zero,s(s(X1)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_204431]) ).
tcf(c_250670,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK2))
| leq(s(zero),s(X1))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_202051]) ).
tcf(c_250671,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,host(sK2))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_203764]) ).
tcf(c_250672,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| ( host(X0) = s(zero) )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_202335]) ).
tcf(c_250862,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(host(X0),s(X1))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_248656,c_203949]) ).
tcf(c_250863,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(zero),s(X0))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_248656,c_203913]) ).
tcf(c_250864,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(zero,s(s(X0)))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_248656,c_211410]) ).
tcf(c_250865,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(X0),s(X1))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_248656,c_209486]) ).
tcf(c_250866,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(sK10(sK6,sK8),X0)
| leq(X0,s(s(X1)))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_248656,c_208821]) ).
tcf(c_250867,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(s(zero),s(X0))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_248656,c_205100]) ).
tcf(c_250870,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_14
| ~ leq(s(X0),sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_248656,c_109]) ).
tcf(c_250871,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(zero))
| leq(sK10(sK6,sK8),X1)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_248656,c_106]) ).
tcf(c_250872,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK6,sK8),X0)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_248656,c_114]) ).
tcf(c_251030,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(host(X0),s(X1))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_248657,c_203949]) ).
tcf(c_251031,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(zero),s(X0))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_248657,c_203913]) ).
tcf(c_251032,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(zero,s(s(X0)))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_248657,c_211410]) ).
tcf(c_251033,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(X0),s(X1))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_248657,c_209486]) ).
tcf(c_251034,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(sK10(sK7,sK8),X0)
| leq(X0,s(s(X1)))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_248657,c_208821]) ).
tcf(c_251035,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(s(zero),s(X0))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_248657,c_205100]) ).
tcf(c_251038,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_14
| ~ leq(s(X0),sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_248657,c_109]) ).
tcf(c_251039,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(zero))
| leq(sK10(sK7,sK8),X1)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_248657,c_106]) ).
tcf(c_251040,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(sK10(sK7,sK8),X0)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_248657,c_114]) ).
tcf(c_251123,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK6,sK8),nbr_proc)
| leq(zero,s(s(X0)))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248731,c_211410]) ).
tcf(c_251124,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(X0),s(X1))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248731,c_209486]) ).
tcf(c_251125,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(sK10(sK6,sK8),X0)
| leq(X0,s(s(X1)))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248731,c_208821]) ).
tcf(c_251126,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK6,sK8),nbr_proc)
| leq(s(zero),s(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248731,c_205100]) ).
tcf(c_251128,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248731,c_202047]) ).
tcf(c_251129,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_12
| ~ leq(s(X0),sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_248731,c_109]) ).
tcf(c_251130,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK6,sK8),X1)
| ~ iPr_def_12
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_248731,c_106]) ).
tcf(c_251131,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248731,c_114]) ).
tcf(c_251196,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK7,sK8),nbr_proc)
| leq(zero,s(s(X0)))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248732,c_211410]) ).
tcf(c_251197,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(X0),s(X1))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248732,c_209486]) ).
tcf(c_251198,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(sK10(sK7,sK8),X0)
| leq(X0,s(s(X1)))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248732,c_208821]) ).
tcf(c_251199,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK7,sK8),nbr_proc)
| leq(s(zero),s(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248732,c_205100]) ).
tcf(c_251202,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_12
| ~ leq(s(X0),sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_248732,c_109]) ).
tcf(c_251203,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK7,sK8),X1)
| ~ iPr_def_12
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_248732,c_106]) ).
tcf(c_251204,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248732,c_114]) ).
tcf(c_251402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),
inference(superposition,[status(thm)],[c_247780,c_135]) ).
tcf(c_251403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35) != q_nil,
inference(superposition,[status(thm)],[c_247780,c_137]) ).
tcf(c_251404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35)),
inference(superposition,[status(thm)],[c_247780,c_101]) ).
tcf(c_251405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36)) ),
inference(superposition,[status(thm)],[c_247780,c_102]) ).
tcf(c_251406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36)) ),
inference(superposition,[status(thm)],[c_247780,c_103]) ).
tcf(c_251407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X0)),
inference(superposition,[status(thm)],[c_247780,c_203176]) ).
tcf(c_251408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),m_Ldr(X35)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34))) ),
inference(superposition,[status(thm)],[c_247780,c_203178]) ).
tcf(c_251409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X0))),
inference(superposition,[status(thm)],[c_247780,c_203596]) ).
tcf(c_251410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X0)))),
inference(superposition,[status(thm)],[c_247780,c_207142]) ).
tcf(c_251413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),m_Ldr(X35)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34)) ),
inference(light_normalisation,[status(thm)],[c_251408,c_244726]) ).
tcf(c_251445,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(zero,s(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208882,c_204568]) ).
tcf(c_251450,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(zero,host(sK8))
| leq(zero,s(X0)) ),
inference(superposition,[status(thm)],[c_208857,c_204568]) ).
tcf(c_251453,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(zero,s(X1))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208820,c_204568]) ).
tcf(c_251460,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,host(sK8))
| leq(zero,s(X1))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_219292,c_204568]) ).
tcf(c_251462,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,host(sK8))
| leq(zero,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208864,c_204568]) ).
tcf(c_251463,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(zero,s(X0))
| leq(X2,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_204568]) ).
tcf(c_251470,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(X0))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_113,c_204568]) ).
tcf(c_251472,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_201161,c_204568]) ).
tcf(c_251474,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK2))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203644,c_204568]) ).
tcf(c_251477,plain,
! [X0: $i] :
( leq(nbr_proc,host(sK8))
| leq(zero,s(X0))
| leq(X0,host(sK8))
| ( host(sK8) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_204568]) ).
tcf(c_251480,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK8))
| ( host(sK8) = nbr_proc )
| ~ leq(host(sK8),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204568]) ).
tcf(c_251481,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK8))
| leq(nbr_proc,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_203667,c_204568]) ).
tcf(c_251482,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_201592,c_204568]) ).
tcf(c_251483,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(host(sK8))))) ),
inference(superposition,[status(thm)],[c_201706,c_204568]) ).
tcf(c_251484,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(host(sK8)))))) ),
inference(superposition,[status(thm)],[c_201871,c_204568]) ).
tcf(c_251485,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X0,s(zero))
| leq(X1,sK10(sK6,sK8))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_204568]) ).
tcf(c_251486,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_204568]) ).
tcf(c_251487,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X0,s(zero))
| leq(X1,sK10(sK7,sK8))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_204568]) ).
tcf(c_251488,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_204568]) ).
tcf(c_251490,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(zero,s(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_204568]) ).
tcf(c_251497,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_211595,c_204568]) ).
tcf(c_251498,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_208856,c_204568]) ).
tcf(c_251499,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(X0))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_204008,c_204568]) ).
tcf(c_251500,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(s(host(sK8))))))) ),
inference(superposition,[status(thm)],[c_203745,c_204568]) ).
tcf(c_251510,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,sK10(sK6,sK8))
| leq(s(zero),s(host(sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_204568]) ).
tcf(c_251513,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(s(zero),host(sK8))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_204568]) ).
tcf(c_251516,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(s(zero),host(sK8))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_204568]) ).
tcf(c_251517,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_227724,c_204568]) ).
tcf(c_251522,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(s(s(host(sK8)))))))) ),
inference(superposition,[status(thm)],[c_204514,c_204568]) ).
tcf(c_251524,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(zero,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208024,c_204568]) ).
tcf(c_251525,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(s(X0)))
| ~ leq(s(host(sK8)),X0) ),
inference(superposition,[status(thm)],[c_207157,c_204568]) ).
tcf(c_251526,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X1,s(host(sK8)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_204568]) ).
tcf(c_251527,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(s(X0)))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_207159,c_204568]) ).
tcf(c_251532,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(s(zero),host(sK8))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208896,c_204568]) ).
tcf(c_251533,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,s(host(sK8)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206666,c_204568]) ).
tcf(c_251541,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(s(nbr_proc)))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_223102,c_204568]) ).
tcf(c_251542,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(s(zero),host(sK8))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208900,c_204568]) ).
tcf(c_251543,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(zero,s(host(sK8)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206674,c_204568]) ).
tcf(c_251545,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(X0,host(sK8))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208814,c_204568]) ).
tcf(c_251546,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(X0,host(sK8))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208811,c_204568]) ).
tcf(c_251550,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(nbr_proc,s(host(sK8)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_204568]) ).
tcf(c_251551,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(s(X0)))
| leq(X0,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_206515,c_204568]) ).
tcf(c_251552,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(s(s(s(host(sK8))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_204568]) ).
tcf(c_251553,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(X0))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223741,c_204568]) ).
tcf(c_251555,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X1,host(sK2))
| leq(X0,s(X1))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_204568]) ).
tcf(c_251559,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X1,s(host(sK8)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206667,c_204568]) ).
tcf(c_251560,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X1,host(sK8))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208835,c_204568]) ).
tcf(c_251561,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_206985,c_204568]) ).
tcf(c_251562,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206992,c_204568]) ).
tcf(c_251564,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(zero,s(host(sK8)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_206899,c_204568]) ).
tcf(c_251565,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(host(sK8),host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_204568]) ).
tcf(c_251567,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,s(host(sK8)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_207832,c_204568]) ).
tcf(c_251570,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_230099,c_204568]) ).
tcf(c_251571,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,host(sK8))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208882,c_204568]) ).
tcf(c_251572,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_222343,c_204568]) ).
tcf(c_251573,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X1,host(sK8))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208838,c_204568]) ).
tcf(c_251574,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK2))
| leq(nbr_proc,s(host(sK8)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_204568]) ).
tcf(c_251575,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_236238,c_204568]) ).
tcf(c_251576,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_210354,c_204568]) ).
tcf(c_251577,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_216080,c_204568]) ).
tcf(c_251619,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(zero,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(light_normalisation,[status(thm)],[c_251543,c_202443]) ).
tcf(c_251623,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(zero,s(X0))
| leq(X0,s(host(X1))) ),
inference(light_normalisation,[status(thm)],[c_251533,c_202443]) ).
tcf(c_251640,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(zero,s(X0))
| leq(X0,s(s(host(X1)))) ),
inference(light_normalisation,[status(thm)],[c_251567,c_202443]) ).
tcf(c_251641,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(zero,s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(light_normalisation,[status(thm)],[c_251564,c_202443]) ).
tcf(c_251664,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,s(X0))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(light_normalisation,[status(thm)],[c_251550,c_202443]) ).
tcf(c_251676,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| leq(zero,s(X0))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(light_normalisation,[status(thm)],[c_251510,c_202443]) ).
tcf(c_251679,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,s(X0))
| leq(X0,host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(light_normalisation,[status(thm)],[c_251574,c_202443]) ).
tcf(c_252025,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208811,c_204789]) ).
tcf(c_252027,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc))
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208882,c_204789]) ).
tcf(c_252034,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_227726,c_204789]) ).
tcf(c_252036,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(X0),nbr_proc)
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_209669,c_204789]) ).
tcf(c_252042,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0)))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_230099,c_204789]) ).
tcf(c_252048,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_113,c_204789]) ).
tcf(c_252050,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_116,c_204789]) ).
tcf(c_252052,plain,
( leq(nbr_proc,s(host(sK8)))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( s(s(s(s(s(nbr_proc))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_204789]) ).
tcf(c_252053,plain,
( leq(nbr_proc,s(host(sK8)))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( s(s(s(s(nbr_proc)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_204789]) ).
tcf(c_252055,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(host(sK8)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_219292,c_204789]) ).
tcf(c_252056,plain,
( leq(nbr_proc,s(host(sK8)))
| ( s(s(s(s(nbr_proc)))) = nbr_proc )
| ~ leq(s(s(s(s(nbr_proc)))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_204789]) ).
tcf(c_252062,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(s(nbr_proc))))
| ( s(s(s(s(nbr_proc)))) = X0 ) ),
inference(superposition,[status(thm)],[c_203458,c_204789]) ).
tcf(c_252064,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(X0))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208820,c_204789]) ).
tcf(c_252066,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(host(sK8)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_211595,c_204789]) ).
tcf(c_252067,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(host(sK8)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208856,c_204789]) ).
tcf(c_252068,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(host(sK8),s(s(s(nbr_proc))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_204789]) ).
tcf(c_252072,plain,
( leq(nbr_proc,s(nbr_proc))
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238534,c_204789]) ).
tcf(c_252073,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(nbr_proc,s(X0))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_227726,c_204789]) ).
tcf(c_252095,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_227724,c_204789]) ).
tcf(c_252103,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_204789]) ).
tcf(c_252105,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_207159,c_204789]) ).
tcf(c_252140,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(host(sK8),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_241022,c_204789]) ).
tcf(c_252143,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_230099,c_204789]) ).
tcf(c_252144,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208882,c_204789]) ).
tcf(c_252147,plain,
( leq(nbr_proc,s(host(sK2)))
| leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_204789]) ).
tcf(c_252164,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,X0)
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(light_normalisation,[status(thm)],[c_252055,c_202443]) ).
tcf(c_252165,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,X0)
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(light_normalisation,[status(thm)],[c_252067,c_202443]) ).
tcf(c_252166,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,X0)
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(light_normalisation,[status(thm)],[c_252066,c_202443]) ).
tcf(c_252171,plain,
( leq(nbr_proc,nbr_proc)
| ( s(s(s(s(nbr_proc)))) = nbr_proc )
| ~ leq(s(s(s(s(nbr_proc)))),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_252056,c_202443]) ).
tcf(c_252172,plain,
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( s(s(s(s(s(nbr_proc))))) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_252052,c_202443]) ).
tcf(c_252210,plain,
~ leq(s(nbr_proc),s(zero)),
inference(global_subsumption_just,[status(thm)],[c_205038,c_95856]) ).
tcf(c_252259,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(s(zero),X1)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_208811,c_206179]) ).
tcf(c_252260,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(s(zero),X1)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_206179]) ).
tcf(c_252268,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(s(zero),X2)
| leq(host(sK8),X0)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208811,c_206179]) ).
tcf(c_252269,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(s(zero),X2)
| leq(X0,host(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_206179]) ).
tcf(c_252270,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(s(zero),X2)
| leq(host(sK8),X0)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208882,c_206179]) ).
tcf(c_252271,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,nbr_proc)
| leq(s(zero),X2)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208857,c_206179]) ).
tcf(c_252274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(s(zero),X3)
| leq(X1,host(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_206179]) ).
tcf(c_252277,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,s(X0))
| leq(s(zero),X2)
| leq(s(X2),nbr_proc)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_227726,c_206179]) ).
tcf(c_252278,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,s(X0))
| leq(X2,s(nbr_proc))
| leq(s(zero),X2)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_227724,c_206179]) ).
tcf(c_252279,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X2)
| leq(host(sK8),X0)
| leq(s(X2),nbr_proc)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_209669,c_206179]) ).
tcf(c_252280,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,s(X0))
| leq(X2,host(sK8))
| leq(s(zero),X2)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208833,c_206179]) ).
tcf(c_252281,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,host(sK8))
| leq(s(zero),X2)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_219292,c_206179]) ).
tcf(c_252283,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(X1,host(X2))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208864,c_206179]) ).
tcf(c_252284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X1)
| leq(X0,X3)
| leq(X1,host(X2))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208820,c_206179]) ).
tcf(c_252285,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(nbr_proc))
| leq(X1,host(X2))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_230099,c_206179]) ).
tcf(c_252286,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X0,host(sK8))
| leq(X1,host(X2))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_211595,c_206179]) ).
tcf(c_252287,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X0,host(sK8))
| leq(X1,host(X2))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208856,c_206179]) ).
tcf(c_252288,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,host(X2))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208028,c_206179]) ).
tcf(c_252293,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),s(X1))
| leq(s(X0),host(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_206179]) ).
tcf(c_252298,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| leq(s(zero),s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203812,c_206179]) ).
tcf(c_252299,plain,
! [X0: $i] :
( leq(nbr_proc,host(X0))
| leq(s(zero),s(host(sK2)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_206179]) ).
tcf(c_252300,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(host(sK2)))
| leq(s(zero),host(sK8))
| leq(host(X0),host(X1))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_206179]) ).
tcf(c_252301,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),host(sK2))
| leq(host(X0),host(X1))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_203644,c_206179]) ).
tcf(c_252303,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X0,host(X1))
| leq(s(zero),host(sK8))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_206179]) ).
tcf(c_252304,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X0,host(X1))
| leq(s(zero),host(sK8))
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_206179]) ).
tcf(c_252305,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(X0,host(X1))
| leq(s(zero),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_206179]) ).
tcf(c_252307,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(s(zero),host(sK8))
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_206179]) ).
tcf(c_252314,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(zero))
| leq(host(sK8),host(X1))
| leq(sK10(sK6,sK8),X0)
| leq(s(zero),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_206179]) ).
tcf(c_252316,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(zero))
| leq(host(sK8),host(X1))
| leq(sK10(sK7,sK8),X0)
| leq(s(zero),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_206179]) ).
tcf(c_252318,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(sK10(sK6,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_201751,c_206179]) ).
tcf(c_252319,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(sK10(sK7,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_201759,c_206179]) ).
tcf(c_252320,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,nbr_proc)
| leq(s(zero),X2)
| leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_208854,c_206179]) ).
tcf(c_252321,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| leq(s(X0),host(X2))
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_206179]) ).
tcf(c_252322,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(s(zero),X2)
| leq(host(sK8),X0)
| leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_208855,c_206179]) ).
tcf(c_252323,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(nbr_proc)))
| leq(s(zero),s(X1))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_206984,c_206179]) ).
tcf(c_252324,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(s(zero),X2)
| leq(s(X1),nbr_proc)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_206179]) ).
tcf(c_252325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,X2)
| leq(s(zero),X0)
| leq(X2,host(X3))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_206179]) ).
tcf(c_252326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,X3)
| leq(s(zero),X2)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208818,c_206179]) ).
tcf(c_252327,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(s(zero),X2)
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_222343,c_206179]) ).
tcf(c_252329,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X2)
| leq(X2,s(s(nbr_proc)))
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_223102,c_206179]) ).
tcf(c_252331,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(sK10(sK6,sK8),host(X1))
| ~ iPr_def_12
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_202150,c_206179]) ).
tcf(c_252332,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(s(X1),nbr_proc)
| leq(sK10(sK6,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_232289,c_206179]) ).
tcf(c_252333,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),X1)
| leq(sK10(sK6,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208841,c_206179]) ).
tcf(c_252334,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(sK10(sK6,sK8),host(X1))
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203421,c_206179]) ).
tcf(c_252335,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(s(zero),X1)
| leq(sK10(sK6,sK8),host(X0))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_206179]) ).
tcf(c_252337,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(sK10(sK7,sK8),host(X1))
| ~ iPr_def_12
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_202159,c_206179]) ).
tcf(c_252338,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(s(X1),nbr_proc)
| leq(sK10(sK7,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_232290,c_206179]) ).
tcf(c_252339,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),X1)
| leq(sK10(sK7,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208842,c_206179]) ).
tcf(c_252340,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(sK10(sK7,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208870,c_206179]) ).
tcf(c_252341,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(sK10(sK7,sK8),host(X1))
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203604,c_206179]) ).
tcf(c_252342,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(zero))
| leq(s(zero),X1)
| leq(sK10(sK7,sK8),host(X0))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_206179]) ).
tcf(c_252345,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(X2))
| leq(X0,s(X1))
| leq(s(zero),host(sK8)) ),
inference(superposition,[status(thm)],[c_208856,c_206179]) ).
tcf(c_252346,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X0)
| leq(host(sK8),X1)
| leq(s(X1),host(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_206179]) ).
tcf(c_252347,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(s(zero),X0)
| leq(s(X1),host(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_206179]) ).
tcf(c_252348,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X2)
| leq(zero,host(X1))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208857,c_206179]) ).
tcf(c_252366,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,host(X2))
| leq(X0,s(X1))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208028,c_206179]) ).
tcf(c_252369,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(zero,host(X2))
| leq(X1,host(sK8))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_219292,c_206179]) ).
tcf(c_252380,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),s(X0))
| leq(s(zero),host(X2))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206665,c_206179]) ).
tcf(c_252383,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(s(zero),host(X1))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207866,c_206179]) ).
tcf(c_252388,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(nbr_proc,host(X2))
| leq(s(X1),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_227726,c_206179]) ).
tcf(c_252389,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(nbr_proc,host(X2))
| leq(X1,s(nbr_proc))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_227724,c_206179]) ).
tcf(c_252390,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(nbr_proc,host(X2))
| leq(X1,host(sK8))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208833,c_206179]) ).
tcf(c_252391,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X2)
| leq(nbr_proc,host(X1))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_206179]) ).
tcf(c_252394,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(s(zero),host(X1))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207319,c_206179]) ).
tcf(c_252395,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(s(zero),host(X1))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232931,c_206179]) ).
tcf(c_252406,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| leq(s(s(zero)),host(X0)) ),
inference(superposition,[status(thm)],[c_222418,c_206179]) ).
tcf(c_252407,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(s(s(zero)),host(X0)) ),
inference(superposition,[status(thm)],[c_208874,c_206179]) ).
tcf(c_252408,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(s(s(zero)),host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204158,c_206179]) ).
tcf(c_252447,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,host(X2))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208024,c_206179]) ).
tcf(c_252448,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(s(zero),s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207157,c_206179]) ).
tcf(c_252449,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(X2))
| leq(X0,s(X1))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206376,c_206179]) ).
tcf(c_252453,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(s(zero),s(host(X1)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233014,c_206179]) ).
tcf(c_252479,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(X2))
| leq(X0,s(s(X1)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206515,c_206179]) ).
tcf(c_252480,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(s(zero),host(X1))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_207886,c_206179]) ).
tcf(c_252481,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(s(zero),host(X1))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206391,c_206179]) ).
tcf(c_252491,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(s(zero),host(X2))
| leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_206181,c_206179]) ).
tcf(c_252496,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),s(X0))
| leq(host(X1),host(X2))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223741,c_206179]) ).
tcf(c_252498,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,host(sK2))
| leq(s(zero),s(X2))
| leq(host(X0),host(X1))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_206179]) ).
tcf(c_252499,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,host(sK8))
| leq(s(zero),s(X2))
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_245063,c_206179]) ).
tcf(c_252500,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(s(zero),s(X2))
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_222883,c_206179]) ).
tcf(c_252502,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(X2))
| leq(X0,s(X1))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206667,c_206179]) ).
tcf(c_252510,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),host(X1))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206992,c_206179]) ).
tcf(c_252528,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,host(X2))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208838,c_206179]) ).
tcf(c_252529,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,host(X1))
| leq(s(zero),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_206179]) ).
tcf(c_252534,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),host(X1))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_210354,c_206179]) ).
tcf(c_252535,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),host(X1))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_216080,c_206179]) ).
tcf(c_252551,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(X1))
| leq(sK10(sK6,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248731,c_206179]) ).
tcf(c_252553,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),s(X1))
| leq(sK10(sK6,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248659,c_206179]) ).
tcf(c_252554,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(X1))
| leq(sK10(sK7,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248732,c_206179]) ).
tcf(c_252556,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),s(X1))
| leq(sK10(sK7,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_248660,c_206179]) ).
tcf(c_253098,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_208868,c_204714]) ).
tcf(c_253101,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),s(s(s(s(nbr_proc)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208868,c_203949]) ).
tcf(c_253109,plain,
! [X0: $i] :
( leq(zero,X0)
| ( s(s(s(s(nbr_proc)))) = X0 )
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_208868,c_109]) ).
tcf(c_253110,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_208868,c_106]) ).
tcf(c_253121,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(s(X0),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208868,c_203670]) ).
tcf(c_253122,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X0,s(s(s(s(nbr_proc)))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208868,c_202048]) ).
tcf(c_253131,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208868,c_204463]) ).
tcf(c_253141,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208868,c_214621]) ).
tcf(c_253171,plain,
( leq(zero,host(sK2))
| leq(host(sK8),s(s(s(s(nbr_proc)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208868,c_202057]) ).
tcf(c_253180,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(nbr_proc)))))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208868,c_204511]) ).
tcf(c_253229,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(sK10(sK6,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208869,c_206179]) ).
tcf(c_253237,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208869,c_202047]) ).
tcf(c_253238,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( sK10(sK6,sK8) = X0 )
| ~ iPr_def_12
| ~ leq(X0,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_208869,c_109]) ).
tcf(c_253239,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(sK10(sK6,sK8),X1)
| ~ iPr_def_12
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208869,c_106]) ).
tcf(c_253240,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208869,c_114]) ).
tcf(c_253278,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,host(sK2))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_208873]) ).
tcf(c_253281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,X0)
| leq(zero,host(X3))
| leq(s(zero),X2)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_206179]) ).
tcf(c_253290,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,host(X2))
| ( X0 = zero )
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_208873,c_109]) ).
tcf(c_253291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X1)
| leq(X0,X2)
| leq(X2,host(X3))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208873,c_106]) ).
tcf(c_253293,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(host(sK8),X1)
| leq(X1,host(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208873,c_233035]) ).
tcf(c_253296,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X0)
| leq(host(sK8),X1)
| leq(X1,host(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208873,c_204891]) ).
tcf(c_253301,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,host(sK8))
| leq(zero,s(X2))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_204568]) ).
tcf(c_253302,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,host(sK8))
| leq(nbr_proc,s(X2))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_203804]) ).
tcf(c_253303,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(zero,host(sK8))
| leq(X0,host(X2))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208873,c_204714]) ).
tcf(c_253305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X2)
| leq(s(zero),X0)
| leq(X2,host(X3))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_206179]) ).
tcf(c_253306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X0)
| leq(X2,host(X3))
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208873,c_203949]) ).
tcf(c_253307,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(s(zero),X1)
| leq(X1,host(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208873,c_203913]) ).
tcf(c_253309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X3)
| leq(X3,nbr_proc)
| leq(X1,host(X2))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208873,c_209486]) ).
tcf(c_253310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X3)
| leq(X3,X2)
| leq(X2,s(X0))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_208821]) ).
tcf(c_253314,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X0,host(X2))
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208873,c_109]) ).
tcf(c_253315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X3)
| leq(X3,X1)
| leq(X0,host(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208873,c_106]) ).
tcf(c_253316,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(s(X0),host(X2))
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_208873,c_114]) ).
tcf(c_253319,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK2))
| leq(host(X0),host(X1))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_208873,c_203633]) ).
tcf(c_253320,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(host(sK8),host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208873,c_233035]) ).
tcf(c_253321,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),host(X1))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208873,c_208692]) ).
tcf(c_253323,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),X0)
| leq(host(sK8),host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208873,c_204891]) ).
tcf(c_253332,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(sK10(sK6,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208873,c_201741]) ).
tcf(c_253333,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(sK10(sK7,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_208873,c_201742]) ).
tcf(c_253334,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,s(X2))
| leq(X2,host(sK8))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_204564]) ).
tcf(c_253335,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(zero,s(X0))
| leq(X1,host(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208873,c_204411]) ).
tcf(c_253336,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(X2))
| leq(X2,host(sK8))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_203800]) ).
tcf(c_253337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(zero,s(X3))
| leq(X1,host(X2))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208873,c_203670]) ).
tcf(c_253338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X0,X2)
| leq(zero,s(X1))
| leq(X2,host(X3))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208873,c_202048]) ).
tcf(c_253339,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,nbr_proc)
| leq(zero,s(X2))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_204027]) ).
tcf(c_253340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,X3)
| leq(zero,s(X2))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_204001]) ).
tcf(c_253341,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(X0))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_203735]) ).
tcf(c_253348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X3)
| leq(X3,X0)
| leq(zero,host(X2))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_204463]) ).
tcf(c_253355,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,host(X2))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208873,c_206704]) ).
tcf(c_253357,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(X2))
| leq(X0,s(X1))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208873,c_210335]) ).
tcf(c_253359,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,host(X2))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208873,c_214130]) ).
tcf(c_253410,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(zero,host(X2))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_233821]) ).
tcf(c_253412,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,host(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208873,c_233875]) ).
tcf(c_253413,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK2))
| leq(host(sK8),X0)
| leq(X0,host(X1))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208873,c_202057]) ).
tcf(c_253416,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(zero,s(host(X1)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208873,c_213503]) ).
tcf(c_253426,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,host(X2))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208873,c_204511]) ).
tcf(c_253439,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK7))
| leq(host(X0),host(X1))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_208873,c_206837]) ).
tcf(c_253443,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(zero,s(X0))
| leq(X2,host(sK8))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_204568]) ).
tcf(c_253445,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(zero,X2)
| leq(X2,host(sK8))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_208873,c_204714]) ).
tcf(c_253448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X3)
| leq(X3,X0)
| leq(host(X1),host(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208873,c_203949]) ).
tcf(c_253449,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(s(zero),host(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208873,c_203913]) ).
tcf(c_253451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X2)
| leq(X3,nbr_proc)
| leq(X2,X3)
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_209486]) ).
tcf(c_253452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X2)
| leq(X3,X0)
| leq(X2,X3)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208873,c_208821]) ).
tcf(c_253455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X2)
| leq(X3,X0)
| leq(X2,X3)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_202047]) ).
tcf(c_253456,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| ( host(X0) = X1 )
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208873,c_109]) ).
tcf(c_253457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X2)
| leq(X3,X1)
| leq(X2,X3)
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_208873,c_106]) ).
tcf(c_253471,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(zero,host(X2))
| leq(X1,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208873,c_204411]) ).
tcf(c_253473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X2)
| leq(X3,X0)
| leq(X2,s(X3))
| leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_203670]) ).
tcf(c_253474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X2)
| leq(X2,s(X1))
| leq(X0,host(X3))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208873,c_202048]) ).
tcf(c_253476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X0)
| leq(X1,X2)
| leq(X2,host(X3))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_204001]) ).
tcf(c_253484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X2)
| leq(zero,X0)
| leq(X2,host(X3))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_204463]) ).
tcf(c_253490,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,s(host(X2)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208873,c_206377]) ).
tcf(c_253494,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(nbr_proc,host(X2))
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208873,c_214621]) ).
tcf(c_253495,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,host(X2))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208873,c_214130]) ).
tcf(c_253502,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| ( host(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_208873,c_202336]) ).
tcf(c_253503,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_208873,c_203951]) ).
tcf(c_253509,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(zero,X0)
| leq(X2,s(nbr_proc))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_204171]) ).
tcf(c_253513,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(s(nbr_proc)))
| leq(host(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_208873,c_224023]) ).
tcf(c_253519,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(host(X1),host(X2))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208873,c_223145]) ).
tcf(c_253521,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),host(X1))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208873,c_206606]) ).
tcf(c_253524,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),host(X1))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208873,c_202070]) ).
tcf(c_253526,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK2))
| leq(host(sK8),host(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208873,c_202057]) ).
tcf(c_253532,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(s(zero),host(X2))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208873,c_206597]) ).
tcf(c_253534,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(X2))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208873,c_202069]) ).
tcf(c_253535,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,host(X2))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_208873,c_204511]) ).
tcf(c_253539,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(X1))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208873,c_211870]) ).
tcf(c_253541,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK7))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_208873,c_206837]) ).
tcf(c_253918,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(host(sK2)))))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_208880]) ).
tcf(c_253923,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,host(sK8))
| ~ leq(s(s(s(s(host(X0))))),X1) ),
inference(superposition,[status(thm)],[c_208880,c_204714]) ).
tcf(c_253926,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(host(X1),s(s(s(host(X2)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208880,c_203949]) ).
tcf(c_253927,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),s(s(s(host(X1)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208880,c_203913]) ).
tcf(c_253929,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,nbr_proc)
| leq(host(X0),s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208880,c_209486]) ).
tcf(c_253934,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| ( s(s(s(host(X0)))) = X1 )
| ~ leq(s(s(s(host(X0)))),X1) ),
inference(superposition,[status(thm)],[c_208880,c_109]) ).
tcf(c_253935,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| ~ leq(s(s(s(host(X0)))),X1) ),
inference(superposition,[status(thm)],[c_208880,c_106]) ).
tcf(c_253944,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,s(s(s(host(X1)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208880,c_204411]) ).
tcf(c_253946,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(s(X0),s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208880,c_203670]) ).
tcf(c_253947,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X1))
| leq(X0,s(s(s(host(X2)))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208880,c_202048]) ).
tcf(c_253966,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(s(X0))))
| leq(nbr_proc,s(s(s(host(X1)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208880,c_214621]) ).
tcf(c_253967,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(s(s(X1))))
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_208880,c_214130]) ).
tcf(c_253996,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(host(sK8),s(s(s(host(X0)))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208880,c_202057]) ).
tcf(c_254005,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(host(X1)))))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208880,c_204511]) ).
tcf(c_254131,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,sK10(sK7,sK8))
| leq(s(zero),s(host(sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_204568]) ).
tcf(c_254132,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,sK10(sK7,sK8))
| leq(s(zero),s(host(sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_203804]) ).
tcf(c_254133,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),s(host(sK8)))
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),X0) ),
inference(superposition,[status(thm)],[c_204617,c_204714]) ).
tcf(c_254134,plain,
( leq(nbr_proc,s(sK10(sK7,sK8)))
| leq(s(zero),s(host(sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_202428]) ).
tcf(c_254136,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(host(X1),sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204617,c_203949]) ).
tcf(c_254139,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(X1))
| leq(host(X0),sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_209486]) ).
tcf(c_254140,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_208821]) ).
tcf(c_254144,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ( sK10(sK7,sK8) = X0 )
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_204617,c_109]) ).
tcf(c_254145,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| ~ iPr_def_11
| ~ leq(sK10(sK7,sK8),X0) ),
inference(superposition,[status(thm)],[c_204617,c_106]) ).
tcf(c_254153,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(zero,sK10(sK7,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_204564]) ).
tcf(c_254154,plain,
! [X0: $i] :
( leq(zero,sK10(sK7,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204617,c_204411]) ).
tcf(c_254155,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,sK10(sK7,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_203800]) ).
tcf(c_254156,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(s(X1)))
| leq(s(X0),sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_203670]) ).
tcf(c_254157,plain,
! [X0: $i,X1: $i] :
( leq(X0,sK10(sK7,sK8))
| leq(s(zero),s(s(X1)))
| ~ iPr_def_11
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204617,c_202048]) ).
tcf(c_254158,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,sK10(sK7,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_204027]) ).
tcf(c_254159,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,sK10(sK7,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_204001]) ).
tcf(c_254175,plain,
! [X0: $i] :
( leq(X0,s(sK10(sK7,sK8)))
| leq(s(zero),s(s(s(s(X0)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_210335]) ).
tcf(c_254176,plain,
! [X0: $i] :
( leq(nbr_proc,sK10(sK7,sK8))
| leq(s(zero),s(s(s(s(X0)))))
| ~ iPr_def_11
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204617,c_214621]) ).
tcf(c_254177,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,sK10(sK7,sK8))
| leq(s(zero),s(s(s(s(X0)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_214130]) ).
tcf(c_254203,plain,
( leq(s(zero),s(host(sK2)))
| leq(host(sK8),sK10(sK7,sK8))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_202057]) ).
tcf(c_254212,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| leq(s(zero),s(s(s(s(s(s(X0)))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_204511]) ).
tcf(c_254220,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(X1,sK10(sK7,sK8))
| leq(X0,s(s(X1)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_208821]) ).
tcf(c_254224,plain,
! [X0: $i] :
( leq(X0,sK10(sK7,sK8))
| ( s(X0) = s(zero) )
| ~ iPr_def_11
| ~ leq(s(X0),s(zero)) ),
inference(superposition,[status(thm)],[c_204617,c_109]) ).
tcf(c_254225,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_204617,c_106]) ).
tcf(c_254226,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,sK10(sK7,sK8))
| ( s(X0) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_114]) ).
tcf(c_254231,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,sK10(sK7,sK8))
| leq(s(X0),s(X1))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_203670]) ).
tcf(c_254232,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204617,c_202048]) ).
tcf(c_254238,plain,
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(light_normalisation,[status(thm)],[c_254134,c_202443]) ).
tcf(c_254309,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(light_normalisation,[status(thm)],[c_254132,c_202443]) ).
tcf(c_254310,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| leq(zero,s(X0))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(light_normalisation,[status(thm)],[c_254131,c_202443]) ).
tcf(c_254315,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),nbr_proc)
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),X0) ),
inference(light_normalisation,[status(thm)],[c_254133,c_202443]) ).
tcf(c_254455,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(s(s(sK10(sK7,sK8)))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204624,c_208821]) ).
tcf(c_254459,plain,
( ( s(s(s(s(sK10(sK7,sK8))))) = s(zero) )
| ~ iPr_def_11
| ~ leq(s(s(s(s(sK10(sK7,sK8))))),s(zero)) ),
inference(superposition,[status(thm)],[c_204624,c_109]) ).
tcf(c_254460,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_11
| ~ leq(s(s(s(s(sK10(sK7,sK8))))),X0) ),
inference(superposition,[status(thm)],[c_204624,c_106]) ).
tcf(c_254461,plain,
( leq(s(zero),s(s(s(sK10(sK7,sK8)))))
| ( s(s(s(s(sK10(sK7,sK8))))) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204624,c_114]) ).
tcf(c_254466,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(s(s(sK10(sK7,sK8))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204624,c_203670]) ).
tcf(c_254467,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(sK10(sK7,sK8))))))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_204624,c_202048]) ).
tcf(c_254500,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),nbr_proc)
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204676,c_203949]) ).
tcf(c_254503,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(host(X1),nbr_proc)
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_204676,c_209486]) ).
tcf(c_254504,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(X0),X1)
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_204676,c_208821]) ).
tcf(c_254507,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(X0),X1)
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_204676,c_202047]) ).
tcf(c_254518,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_204676,c_203670]) ).
tcf(c_254519,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| ( X1 = nbr_proc )
| ~ leq(X1,nbr_proc)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204676,c_202048]) ).
tcf(c_254527,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(s(X0)) = nbr_proc )
| ~ leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_204676,c_210335]) ).
tcf(c_254528,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| ( s(s(X0)) = nbr_proc )
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_204676,c_214621]) ).
tcf(c_254532,plain,
! [X0: $i] :
( ( X0 = nbr_proc )
| ( s(X0) = nbr_proc )
| ~ leq(X0,nbr_proc)
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204676,c_208639]) ).
tcf(c_254549,plain,
( leq(nbr_proc,s(nbr_proc))
| ( s(s(s(nbr_proc))) = nbr_proc )
| ~ leq(s(s(s(nbr_proc))),nbr_proc) ),
inference(superposition,[status(thm)],[c_204676,c_204789]) ).
tcf(c_254562,plain,
( leq(nbr_proc,nbr_proc)
| ( s(s(s(s(s(nbr_proc))))) = nbr_proc )
| ~ leq(s(s(s(s(s(nbr_proc))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_204676,c_211870]) ).
tcf(c_254609,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(nbr_proc,s(host(sK8)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_204568]) ).
tcf(c_254610,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(nbr_proc,s(host(sK8)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_203804]) ).
tcf(c_254611,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(host(sK8)))
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),X0) ),
inference(superposition,[status(thm)],[c_204786,c_204714]) ).
tcf(c_254612,plain,
( leq(nbr_proc,s(host(sK8)))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_204786,c_202428]) ).
tcf(c_254614,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(host(X1),s(s(s(s(s(nbr_proc))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204786,c_203949]) ).
tcf(c_254622,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| ( s(s(s(s(s(nbr_proc))))) = X0 )
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_204786,c_109]) ).
tcf(c_254623,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_204786,c_106]) ).
tcf(c_254634,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| leq(s(X0),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_203670]) ).
tcf(c_254635,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(X1)))
| leq(X0,s(s(s(s(s(nbr_proc))))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204786,c_202048]) ).
tcf(c_254637,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_204001]) ).
tcf(c_254644,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(host(X1)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_204463]) ).
tcf(c_254654,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(s(X0)))))
| leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204786,c_214621]) ).
tcf(c_254655,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(s(X0)))))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_214130]) ).
tcf(c_254667,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_204171]) ).
tcf(c_254684,plain,
( leq(nbr_proc,s(host(sK2)))
| leq(host(sK8),s(s(s(s(s(nbr_proc))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_204786,c_202057]) ).
tcf(c_254693,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(s(nbr_proc))))))
| leq(nbr_proc,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_204786,c_204511]) ).
tcf(c_254695,plain,
( leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_204786,c_211870]) ).
tcf(c_254714,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(light_normalisation,[status(thm)],[c_254610,c_202443]) ).
tcf(c_254715,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,s(X0))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(light_normalisation,[status(thm)],[c_254609,c_202443]) ).
tcf(c_254716,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,X0)
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),X0) ),
inference(light_normalisation,[status(thm)],[c_254611,c_202443]) ).
tcf(c_254725,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(s(s(s(s(s(s(s(s(s(nbr_proc))))))))))) ),
inference(superposition,[status(thm)],[c_204796,c_208821]) ).
tcf(c_254729,plain,
( ( s(s(s(s(s(s(s(s(s(nbr_proc))))))))) = nbr_proc )
| ~ leq(s(s(s(s(s(s(s(s(s(nbr_proc))))))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_204796,c_109]) ).
tcf(c_254730,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(s(s(s(s(s(s(s(s(s(nbr_proc))))))))),X0) ),
inference(superposition,[status(thm)],[c_204796,c_106]) ).
tcf(c_254732,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(s(s(s(s(s(nbr_proc)))))))))) ),
inference(superposition,[status(thm)],[c_204796,c_234688]) ).
tcf(c_254733,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(s(s(s(s(s(s(s(s(nbr_proc)))))))))) ),
inference(superposition,[status(thm)],[c_204796,c_218832]) ).
tcf(c_254734,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,s(s(s(s(s(s(s(s(s(nbr_proc)))))))))) ),
inference(superposition,[status(thm)],[c_204796,c_203574]) ).
tcf(c_254776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),
inference(superposition,[status(thm)],[c_251402,c_135]) ).
tcf(c_254777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36) != q_nil,
inference(superposition,[status(thm)],[c_251402,c_137]) ).
tcf(c_254778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36)),
inference(superposition,[status(thm)],[c_251402,c_101]) ).
tcf(c_254779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37)) ),
inference(superposition,[status(thm)],[c_251402,c_102]) ).
tcf(c_254780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37)) ),
inference(superposition,[status(thm)],[c_251402,c_103]) ).
tcf(c_254781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X0)),
inference(superposition,[status(thm)],[c_251402,c_203176]) ).
tcf(c_254782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),m_Ldr(X36)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35))) ),
inference(superposition,[status(thm)],[c_251402,c_203178]) ).
tcf(c_254783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X0))),
inference(superposition,[status(thm)],[c_251402,c_203596]) ).
tcf(c_254784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X0)))),
inference(superposition,[status(thm)],[c_251402,c_207142]) ).
tcf(c_254787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),m_Ldr(X36)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35)) ),
inference(light_normalisation,[status(thm)],[c_254782,c_247780]) ).
tcf(c_254803,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(s(zero),X1)
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_223259,c_206193]) ).
tcf(c_254808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,X3)
| leq(s(zero),X2)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_206193]) ).
tcf(c_254811,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(s(zero),X2)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_206193]) ).
tcf(c_254812,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(s(zero),X1)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_206193]) ).
tcf(c_254814,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,host(sK8))
| leq(s(zero),X1)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_206193]) ).
tcf(c_254816,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(zero,host(X2))
| leq(s(zero),X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208864,c_206193]) ).
tcf(c_254817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(s(zero),X2)
| leq(X2,s(X3))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_206193]) ).
tcf(c_254821,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(s(zero),X1)
| leq(X1,s(X2))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_208028,c_206193]) ).
tcf(c_254824,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X2)
| leq(X2,s(X1))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_206193]) ).
tcf(c_254827,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),X1)
| leq(nbr_proc,s(host(sK2)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_206193]) ).
tcf(c_254828,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK2))
| leq(s(zero),X1)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_203644,c_206193]) ).
tcf(c_254830,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X0))
| leq(X1,host(sK8))
| leq(s(zero),X1)
| ( s(host(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_206193]) ).
tcf(c_254833,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),X1)
| ( host(X0) = nbr_proc )
| ~ leq(host(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_206193]) ).
tcf(c_254838,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(zero))
| leq(s(zero),X1)
| leq(X1,sK10(sK6,sK8))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_206193]) ).
tcf(c_254839,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_206193]) ).
tcf(c_254840,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(zero))
| leq(s(zero),X1)
| leq(X1,sK10(sK7,sK8))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_206193]) ).
tcf(c_254841,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_206193]) ).
tcf(c_254843,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(s(zero),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_206193]) ).
tcf(c_254851,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,host(sK8))
| leq(s(zero),X2)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_206193]) ).
tcf(c_254852,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X2,host(sK8))
| leq(s(zero),X2)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_206193]) ).
tcf(c_254856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X0)
| leq(s(zero),X2)
| leq(X2,host(X3))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_206193]) ).
tcf(c_254880,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,host(X2))
| leq(s(zero),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208024,c_206193]) ).
tcf(c_254881,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X2)
| leq(X2,s(s(X1)))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_206193]) ).
tcf(c_254883,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X2)
| leq(X2,s(s(X1)))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_206193]) ).
tcf(c_254888,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X0)
| leq(s(zero),host(X2))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208896,c_206193]) ).
tcf(c_254889,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X0)
| leq(zero,s(host(X2)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206666,c_206193]) ).
tcf(c_254895,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(s(nbr_proc)))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_206984,c_206193]) ).
tcf(c_254899,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(zero,s(host(X1)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206674,c_206193]) ).
tcf(c_254905,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(nbr_proc,s(host(X1)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_206193]) ).
tcf(c_254908,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(nbr_proc,s(host(X1)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_206193]) ).
tcf(c_254909,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X2)
| leq(X2,s(s(X0)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_206515,c_206193]) ).
tcf(c_254910,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(s(s(s(s(s(host(X1))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_206193]) ).
tcf(c_254913,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,host(sK2))
| leq(s(zero),X1)
| leq(X1,s(X2))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_206193]) ).
tcf(c_254917,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X0)
| leq(X1,s(host(X2)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206667,c_206193]) ).
tcf(c_254922,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(zero,s(host(X1)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_206899,c_206193]) ).
tcf(c_254923,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(sK8),host(X1))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_206193]) ).
tcf(c_254925,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X0)
| leq(zero,s(host(X2)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_207832,c_206193]) ).
tcf(c_254928,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X2,s(nbr_proc))
| leq(s(zero),X2)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_230099,c_206193]) ).
tcf(c_254931,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X0)
| leq(X1,host(X2))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208838,c_206193]) ).
tcf(c_254933,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK2))
| leq(s(zero),X1)
| leq(nbr_proc,s(host(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_206193]) ).
tcf(c_254934,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_236238,c_206193]) ).
tcf(c_254942,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| ( host(sK2) = nbr_proc )
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_204701,c_206193]) ).
tcf(c_255047,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),X1)
| ( host(X0) = nbr_proc ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254833,c_120]) ).
tcf(c_255269,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208882,c_206323]) ).
tcf(c_255271,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,nbr_proc)
| leq(s(X1),X2)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_208811,c_206323]) ).
tcf(c_255272,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,nbr_proc)
| leq(s(X1),X2)
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_223259,c_206323]) ).
tcf(c_255273,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,s(nbr_proc))
| leq(s(X1),X2)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_206323]) ).
tcf(c_255274,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(zero,host(X2))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208857,c_206323]) ).
tcf(c_255277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X2)
| leq(X3,X0)
| leq(s(X2),X3)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_206323]) ).
tcf(c_255280,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(s(X2),nbr_proc)
| leq(s(X1),X2)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_206323]) ).
tcf(c_255281,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,s(nbr_proc))
| leq(s(X1),X2)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_206323]) ).
tcf(c_255282,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(s(X2),nbr_proc)
| leq(s(X1),X2)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_206323]) ).
tcf(c_255283,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,host(sK8))
| leq(s(X1),X2)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_206323]) ).
tcf(c_255285,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(zero,host(X2))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208864,c_206323]) ).
tcf(c_255286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X0)
| leq(X1,X2)
| leq(X2,host(X3))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_206323]) ).
tcf(c_255287,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(X2))
| leq(X1,s(nbr_proc))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_230099,c_206323]) ).
tcf(c_255288,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(X2))
| leq(X1,host(sK8))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_211595,c_206323]) ).
tcf(c_255289,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(X2))
| leq(X1,host(sK8))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208856,c_206323]) ).
tcf(c_255290,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(host(X2)))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_208028,c_206323]) ).
tcf(c_255293,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),s(X1))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_206323]) ).
tcf(c_255296,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(nbr_proc,s(host(sK2)))
| leq(s(X1),host(sK8))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_206323]) ).
tcf(c_255297,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),host(sK2))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_203644,c_206323]) ).
tcf(c_255298,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_201621,c_206323]) ).
tcf(c_255299,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(nbr_proc,host(X0))
| leq(s(X1),host(sK8))
| ( s(host(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_206323]) ).
tcf(c_255301,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(X1))
| leq(X1,host(X2))
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_208833,c_206323]) ).
tcf(c_255302,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),host(sK8))
| ( host(X0) = nbr_proc )
| ~ leq(host(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_206323]) ).
tcf(c_255303,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(host(X1)))
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_203667,c_206323]) ).
tcf(c_255307,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(zero))
| leq(sK10(sK6,sK8),X1)
| leq(s(X0),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_206323]) ).
tcf(c_255308,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201951,c_206323]) ).
tcf(c_255309,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(zero))
| leq(sK10(sK7,sK8),X1)
| leq(s(X0),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_206323]) ).
tcf(c_255310,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_201970,c_206323]) ).
tcf(c_255312,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,X2)
| leq(s(X2),nbr_proc)
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_209669,c_206323]) ).
tcf(c_255313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X0)
| leq(zero,host(X3))
| leq(X1,host(X2))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208873,c_206323]) ).
tcf(c_255314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X0)
| leq(X2,host(X3))
| leq(X1,s(X2))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208820,c_206323]) ).
tcf(c_255315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X0)
| leq(X1,X2)
| leq(X2,host(X3))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208818,c_206323]) ).
tcf(c_255320,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(zero,X0)
| leq(s(X2),host(sK8))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_206323]) ).
tcf(c_255321,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(zero,X2)
| leq(s(X2),host(sK8))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_206323]) ).
tcf(c_255325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X2)
| leq(zero,X0)
| leq(X2,host(X3))
| leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_206323]) ).
tcf(c_255331,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,s(host(X2)))
| leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_204430,c_206323]) ).
tcf(c_255333,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(X2))
| leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_204429,c_206323]) ).
tcf(c_255334,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),s(host(X1)))
| leq(s(X0),sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_206323]) ).
tcf(c_255336,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(s(X0),sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_206323]) ).
tcf(c_255337,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),host(X1))
| leq(s(X0),sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_206323]) ).
tcf(c_255338,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),s(host(X1)))
| leq(s(X0),sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_206323]) ).
tcf(c_255340,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(s(X0),sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_206323]) ).
tcf(c_255341,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),host(X1))
| leq(s(X0),sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_206323]) ).
tcf(c_255342,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(X1))
| leq(X1,host(X2))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_206323]) ).
tcf(c_255344,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),host(X1))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_207601,c_206323]) ).
tcf(c_255345,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(host(X1)))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_204010,c_206323]) ).
tcf(c_255346,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_203973,c_206323]) ).
tcf(c_255347,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(s(s(s(s(host(X1)))))))) ),
inference(superposition,[status(thm)],[c_204514,c_206323]) ).
tcf(c_255349,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,host(X2))
| leq(s(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_208024,c_206323]) ).
tcf(c_255350,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),s(s(X1)))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_206323]) ).
tcf(c_255351,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,s(host(X2)))
| leq(s(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_206323]) ).
tcf(c_255352,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),s(s(X1)))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_206323]) ).
tcf(c_255354,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,s(s(host(X2))))
| leq(s(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_207313,c_206323]) ).
tcf(c_255356,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(s(zero),s(host(X2)))
| leq(s(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_206665,c_206323]) ).
tcf(c_255357,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(s(zero),host(X2))
| leq(s(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_208896,c_206323]) ).
tcf(c_255358,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,s(host(X2)))
| leq(s(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_206666,c_206323]) ).
tcf(c_255359,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(X2))
| leq(s(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_207190,c_206323]) ).
tcf(c_255360,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(s(X0),s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_206323]) ).
tcf(c_255361,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(s(X0),s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_206323]) ).
tcf(c_255362,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),s(host(X1)))
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_207875,c_206323]) ).
tcf(c_255364,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),s(host(X1)))
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206984,c_206323]) ).
tcf(c_255365,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(s(host(X1))))
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206907,c_206323]) ).
tcf(c_255366,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(host(X1),host(X2))
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_223102,c_206323]) ).
tcf(c_255367,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),host(X1))
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208900,c_206323]) ).
tcf(c_255368,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(host(X1)))
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206674,c_206323]) ).
tcf(c_255369,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(s(X0),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206886,c_206323]) ).
tcf(c_255370,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(zero),X0)
| leq(s(X2),nbr_proc)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208814,c_206323]) ).
tcf(c_255371,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(host(sK8),X0)
| leq(s(X2),nbr_proc)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208811,c_206323]) ).
tcf(c_255372,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),nbr_proc)
| leq(X0,host(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_206323]) ).
tcf(c_255373,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(zero,X0)
| leq(s(X2),nbr_proc)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208857,c_206323]) ).
tcf(c_255374,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(host(X1)))
| leq(s(X0),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_206323]) ).
tcf(c_255375,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(X1))
| leq(s(X0),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204785,c_206323]) ).
tcf(c_255376,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(s(X0),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208868,c_206323]) ).
tcf(c_255377,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(host(X1)))
| leq(s(X0),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_206323]) ).
tcf(c_255378,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,s(s(host(X2))))
| leq(s(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_206515,c_206323]) ).
tcf(c_255379,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(X0),s(s(s(s(s(s(s(host(X1))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_206323]) ).
tcf(c_255382,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,host(sK2))
| leq(s(X1),s(X2))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_206323]) ).
tcf(c_255383,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,host(sK8))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_245063,c_206323]) ).
tcf(c_255386,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,s(host(X2)))
| leq(s(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206667,c_206323]) ).
tcf(c_255387,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,host(X2))
| leq(s(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208835,c_206323]) ).
tcf(c_255390,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215263,c_206323]) ).
tcf(c_255391,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(host(X1)))
| leq(s(X0),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_206899,c_206323]) ).
tcf(c_255392,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),host(X1))
| leq(s(X0),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_206323]) ).
tcf(c_255393,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(s(X0),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208867,c_206323]) ).
tcf(c_255394,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,s(host(X2)))
| leq(s(X0),s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_207832,c_206323]) ).
tcf(c_255395,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(X2))
| leq(s(X0),s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208879,c_206323]) ).
tcf(c_255397,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(zero,X2)
| leq(s(X2),s(nbr_proc))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_230099,c_206323]) ).
tcf(c_255398,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(host(sK8),X1)
| leq(X1,host(X2))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208882,c_206323]) ).
tcf(c_255399,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),s(nbr_proc))
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_222343,c_206323]) ).
tcf(c_255400,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,host(X2))
| leq(s(X0),s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208838,c_206323]) ).
tcf(c_255401,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(X2))
| leq(s(X0),s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208880,c_206323]) ).
tcf(c_255402,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(host(X1)))
| leq(s(X0),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_206323]) ).
tcf(c_255403,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_236238,c_206323]) ).
tcf(c_255404,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(s(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_210354,c_206323]) ).
tcf(c_255405,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(s(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_216080,c_206323]) ).
tcf(c_255411,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| ( host(sK2) = nbr_proc )
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_204701,c_206323]) ).
tcf(c_255611,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),host(sK8))
| ( host(X0) = nbr_proc ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255302,c_120]) ).
tcf(c_255861,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208814,c_206503]) ).
tcf(c_255862,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1)
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208811,c_206503]) ).
tcf(c_255863,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1)
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_223259,c_206503]) ).
tcf(c_255864,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208882,c_206503]) ).
tcf(c_255868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,X3)
| leq(X1,X2)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208820,c_206503]) ).
tcf(c_255871,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_227726,c_206503]) ).
tcf(c_255872,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_227724,c_206503]) ).
tcf(c_255873,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_209669,c_206503]) ).
tcf(c_255874,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208833,c_206503]) ).
tcf(c_255876,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X1)
| leq(X1,s(X2))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208864,c_206503]) ).
tcf(c_255877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X1,X2)
| leq(X2,s(X3))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_206503]) ).
tcf(c_255878,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X2,s(nbr_proc))
| leq(X1,s(X2))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_230099,c_206503]) ).
tcf(c_255879,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X2,host(sK8))
| leq(X1,s(X2))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_211595,c_206503]) ).
tcf(c_255880,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X2,host(sK8))
| leq(X1,s(X2))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208856,c_206503]) ).
tcf(c_255881,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X1)
| leq(X1,s(X2))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208028,c_206503]) ).
tcf(c_255884,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,s(X1))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_113,c_206503]) ).
tcf(c_255890,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(nbr_proc,s(X0))
| leq(X2,host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208833,c_206503]) ).
tcf(c_255891,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| ( s(s(X0)) = nbr_proc )
| ~ leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_206503]) ).
tcf(c_255897,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(X1,s(X0))
| ( s(s(X0)) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_206503]) ).
tcf(c_255899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X1)
| leq(X0,X3)
| leq(X1,host(X2))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208873,c_206503]) ).
tcf(c_255900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X2)
| leq(X1,X3)
| leq(X2,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_206503]) ).
tcf(c_255901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X2)
| leq(X2,X0)
| leq(X1,X3)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208818,c_206503]) ).
tcf(c_255902,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,X2)
| leq(X2,host(sK8))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_211595,c_206503]) ).
tcf(c_255903,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X1,X2)
| leq(X2,host(sK8))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208856,c_206503]) ).
tcf(c_255905,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(zero,s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_206503]) ).
tcf(c_255909,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(nbr_proc,s(X0))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238534,c_206503]) ).
tcf(c_255911,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233811,c_206503]) ).
tcf(c_255917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X0)
| leq(X1,X2)
| leq(X2,host(X3))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208873,c_206503]) ).
tcf(c_255919,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,host(X2))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232931,c_206503]) ).
tcf(c_255930,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,sK10(sK6,sK8))
| leq(s(zero),s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_206503]) ).
tcf(c_255931,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232939,c_206503]) ).
tcf(c_255932,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(X1)))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_206503]) ).
tcf(c_255934,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,sK10(sK7,sK8))
| leq(s(zero),s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_206503]) ).
tcf(c_255935,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232940,c_206503]) ).
tcf(c_255936,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(X1)))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_206503]) ).
tcf(c_255938,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(nbr_proc,s(X0))
| leq(X2,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_227724,c_206503]) ).
tcf(c_255939,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232984,c_206503]) ).
tcf(c_255940,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_207601,c_206503]) ).
tcf(c_255941,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_204010,c_206503]) ).
tcf(c_255945,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(nbr_proc,s(s(X2)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208024,c_206503]) ).
tcf(c_255946,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,s(s(X1)))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_206503]) ).
tcf(c_255950,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,s(host(X2)))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_207313,c_206503]) ).
tcf(c_255951,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,s(host(X2)))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_233014,c_206503]) ).
tcf(c_255952,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,s(host(X2)))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206665,c_206503]) ).
tcf(c_255956,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(X1)))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_206503]) ).
tcf(c_255957,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(X1)))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_206503]) ).
tcf(c_255958,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(nbr_proc)))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207875,c_206503]) ).
tcf(c_255959,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(nbr_proc)))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_233020,c_206503]) ).
tcf(c_255960,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(nbr_proc)))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206984,c_206503]) ).
tcf(c_255961,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(nbr_proc)))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_206907,c_206503]) ).
tcf(c_255967,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(s(zero),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208814,c_206503]) ).
tcf(c_255969,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_223259,c_206503]) ).
tcf(c_255971,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(s(X1))))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_206503]) ).
tcf(c_255973,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(X1)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208868,c_206503]) ).
tcf(c_255974,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(s(X1))))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_206503]) ).
tcf(c_255975,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(s(X0)))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_206515,c_206503]) ).
tcf(c_255976,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(X0,s(s(s(s(s(s(s(s(s(X1)))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_206503]) ).
tcf(c_255978,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(s(s(X0))))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206667,c_206503]) ).
tcf(c_255980,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(s(s(X1))))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_206899,c_206503]) ).
tcf(c_255981,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(s(nbr_proc))))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208858,c_206503]) ).
tcf(c_255983,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(s(s(X2))))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_207832,c_206503]) ).
tcf(c_255988,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_230099,c_206503]) ).
tcf(c_255989,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208882,c_206503]) ).
tcf(c_255990,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_222343,c_206503]) ).
tcf(c_255991,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(s(X2)))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208838,c_206503]) ).
tcf(c_255992,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(s(X2)))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208880,c_206503]) ).
tcf(c_255993,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK2))
| leq(nbr_proc,s(s(s(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_206503]) ).
tcf(c_256535,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208820,c_206615]) ).
tcf(c_256541,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208833,c_206615]) ).
tcf(c_256544,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208820,c_206615]) ).
tcf(c_256547,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208856,c_206615]) ).
tcf(c_256551,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_113,c_206615]) ).
tcf(c_256555,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| ( s(s(s(s(s(s(nbr_proc)))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_206615]) ).
tcf(c_256556,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| ( s(s(s(s(s(nbr_proc))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_206615]) ).
tcf(c_256558,plain,
( leq(zero,host(sK8))
| ( s(s(s(s(s(nbr_proc))))) = nbr_proc )
| ~ leq(s(s(s(s(s(nbr_proc))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_206615]) ).
tcf(c_256567,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208820,c_206615]) ).
tcf(c_256569,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_211595,c_206615]) ).
tcf(c_256570,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208856,c_206615]) ).
tcf(c_256571,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(s(s(s(nbr_proc)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_206615]) ).
tcf(c_256584,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(X1))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208873,c_206615]) ).
tcf(c_256609,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_206615]) ).
tcf(c_256638,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_206515,c_206615]) ).
tcf(c_256639,plain,
leq(zero,s(s(s(s(s(s(s(s(s(s(s(s(nbr_proc))))))))))))),
inference(superposition,[status(thm)],[c_206387,c_206615]) ).
tcf(c_256641,plain,
! [X0: $i] :
( leq(zero,s(s(s(X0))))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_206667,c_206615]) ).
tcf(c_256654,plain,
! [X0: $i] :
( leq(zero,s(s(s(s(X0)))))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208838,c_206615]) ).
tcf(c_256656,plain,
( leq(zero,host(sK2))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc)))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_206615]) ).
tcf(c_256715,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| ( X0 = zero )
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_208884,c_109]) ).
tcf(c_256716,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X0,X2)
| leq(X2,s(nbr_proc))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208884,c_106]) ).
tcf(c_256718,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208884,c_233035]) ).
tcf(c_256721,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X0)
| leq(host(sK8),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208884,c_204891]) ).
tcf(c_256726,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,host(sK8))
| leq(zero,s(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208884,c_204568]) ).
tcf(c_256727,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,host(sK8))
| leq(nbr_proc,s(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208884,c_203804]) ).
tcf(c_256728,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,host(sK8))
| leq(X0,s(nbr_proc))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208884,c_204714]) ).
tcf(c_256731,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,s(nbr_proc))
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208884,c_203949]) ).
tcf(c_256732,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208884,c_203913]) ).
tcf(c_256739,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,s(nbr_proc))
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208884,c_109]) ).
tcf(c_256740,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X0,s(nbr_proc))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208884,c_106]) ).
tcf(c_256745,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208884,c_233035]) ).
tcf(c_256746,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(nbr_proc))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_208884,c_208692]) ).
tcf(c_256748,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| leq(host(sK8),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208884,c_204891]) ).
tcf(c_256754,plain,
( leq(zero,s(zero))
| leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),s(nbr_proc))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_208884,c_201931]) ).
tcf(c_256755,plain,
( leq(zero,s(zero))
| leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),s(nbr_proc))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_208884,c_201932]) ).
tcf(c_256759,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208884,c_204564]) ).
tcf(c_256760,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,s(X0))
| leq(X1,s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208884,c_204411]) ).
tcf(c_256761,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208884,c_203800]) ).
tcf(c_256762,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(X1,s(nbr_proc))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208884,c_203670]) ).
tcf(c_256763,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(zero,s(X1))
| leq(X2,s(nbr_proc))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208884,c_202048]) ).
tcf(c_256764,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208884,c_204027]) ).
tcf(c_256768,plain,
( leq(zero,host(sK2))
| leq(host(sK8),s(nbr_proc))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208884,c_202410]) ).
tcf(c_256773,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(X2))
| leq(X1,s(nbr_proc))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_208884,c_206323]) ).
tcf(c_256774,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(zero,host(X2))
| leq(X1,s(nbr_proc))
| leq(s(zero),X0) ),
inference(superposition,[status(thm)],[c_208884,c_206193]) ).
tcf(c_256775,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(zero,host(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208884,c_204463]) ).
tcf(c_256781,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(X1,s(nbr_proc))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208884,c_206503]) ).
tcf(c_256782,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208884,c_206377]) ).
tcf(c_256784,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208884,c_210335]) ).
tcf(c_256786,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208884,c_214130]) ).
tcf(c_256792,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208884,c_202065]) ).
tcf(c_256843,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(host(X1)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208884,c_213503]) ).
tcf(c_256853,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208884,c_204511]) ).
tcf(c_256871,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208884,c_204568]) ).
tcf(c_256872,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208884,c_203804]) ).
tcf(c_256873,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,X1)
| leq(X1,host(sK8))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_208884,c_204714]) ).
tcf(c_256876,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208884,c_203949]) ).
tcf(c_256880,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(X1,X2)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208884,c_208821]) ).
tcf(c_256884,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ( s(nbr_proc) = X0 )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_208884,c_109]) ).
tcf(c_256885,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(X1,X2)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_208884,c_106]) ).
tcf(c_256896,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(X1,s(X2))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208884,c_203670]) ).
tcf(c_256897,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X0,s(nbr_proc))
| leq(X2,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208884,c_202048]) ).
tcf(c_256906,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,host(X2))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208884,c_206323]) ).
tcf(c_256907,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,s(nbr_proc))
| leq(s(zero),X2)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208884,c_206193]) ).
tcf(c_256914,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208884,c_206503]) ).
tcf(c_256918,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(nbr_proc,s(nbr_proc))
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208884,c_214621]) ).
tcf(c_256919,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208884,c_214130]) ).
tcf(c_256931,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208884,c_204171]) ).
tcf(c_256941,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(X1),s(nbr_proc))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208884,c_223145]) ).
tcf(c_256948,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK2))
| leq(host(sK8),s(nbr_proc))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208884,c_202057]) ).
tcf(c_256957,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_208884,c_204511]) ).
tcf(c_256960,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_208884,c_211870]) ).
tcf(c_257255,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(s(host(sK2))))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_208897]) ).
tcf(c_257258,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(s(zero),host(sK8))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208897,c_204568]) ).
tcf(c_257260,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(s(zero),host(sK8))
| ~ leq(s(s(s(host(X0)))),X1) ),
inference(superposition,[status(thm)],[c_208897,c_204714]) ).
tcf(c_257263,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X0)
| leq(host(X1),s(s(host(X2))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208897,c_203949]) ).
tcf(c_257264,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(s(zero),s(s(host(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208897,c_203913]) ).
tcf(c_257266,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(s(zero),X2)
| leq(host(X0),s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208897,c_209486]) ).
tcf(c_257271,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ( s(s(host(X0))) = X1 )
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_208897,c_109]) ).
tcf(c_257272,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(s(zero),X2)
| ~ leq(s(s(host(X0))),X1) ),
inference(superposition,[status(thm)],[c_208897,c_106]) ).
tcf(c_257281,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(zero,s(s(host(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208897,c_204411]) ).
tcf(c_257283,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),s(X2))
| leq(s(X0),s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208897,c_203670]) ).
tcf(c_257284,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),s(X1))
| leq(X0,s(s(host(X2))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208897,c_202048]) ).
tcf(c_257293,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(s(zero),host(X2))
| leq(s(X0),s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208897,c_206323]) ).
tcf(c_257294,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X0)
| leq(s(zero),host(X2))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208897,c_206193]) ).
tcf(c_257301,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),s(s(X2)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208897,c_206503]) ).
tcf(c_257306,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(host(X1))))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208897,c_214130]) ).
tcf(c_257335,plain,
! [X0: $i] :
( leq(s(zero),host(sK2))
| leq(host(sK8),s(s(host(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208897,c_202057]) ).
tcf(c_257344,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(host(X1))))
| leq(s(zero),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208897,c_204511]) ).
tcf(c_257410,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(s(zero),host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208899,c_204568]) ).
tcf(c_257412,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_208899,c_204714]) ).
tcf(c_257415,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(X1),s(s(s(nbr_proc))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208899,c_203949]) ).
tcf(c_257423,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( s(s(s(nbr_proc))) = X0 )
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_208899,c_109]) ).
tcf(c_257424,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_208899,c_106]) ).
tcf(c_257435,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| leq(s(X0),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208899,c_203670]) ).
tcf(c_257436,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X1))
| leq(X0,s(s(s(nbr_proc))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208899,c_202048]) ).
tcf(c_257445,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),host(X1))
| leq(s(X0),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208899,c_206323]) ).
tcf(c_257446,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(s(zero),host(X1))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208899,c_206193]) ).
tcf(c_257453,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(s(s(nbr_proc))))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208899,c_206503]) ).
tcf(c_257458,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc))))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208899,c_214130]) ).
tcf(c_257487,plain,
( leq(s(zero),host(sK2))
| leq(host(sK8),s(s(s(nbr_proc))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208899,c_202057]) ).
tcf(c_257496,plain,
! [X0: $i] :
( leq(X0,s(s(s(nbr_proc))))
| leq(s(zero),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208899,c_204511]) ).
tcf(c_257574,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(host(sK2),X0)
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_209484]) ).
tcf(c_257577,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(zero,s(X2))
| leq(X1,host(sK8))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_204568]) ).
tcf(c_257579,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X2,host(sK8))
| leq(host(X1),X2)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_209484,c_204714]) ).
tcf(c_257580,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(X1,host(sK8))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_202428]) ).
tcf(c_257582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,X0)
| leq(host(X3),nbr_proc)
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_209484,c_203949]) ).
tcf(c_257586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X2)
| leq(X1,X3)
| leq(X2,s(nbr_proc))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_208821]) ).
tcf(c_257590,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),X2)
| ( X0 = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_209484,c_109]) ).
tcf(c_257600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,X3)
| leq(s(X3),nbr_proc)
| leq(X1,s(X2))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_203670]) ).
tcf(c_257601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X0,nbr_proc)
| leq(X3,s(X1))
| leq(host(X2),X3)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_209484,c_202048]) ).
tcf(c_257610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X3)
| leq(s(X3),nbr_proc)
| leq(X1,host(X2))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_206323]) ).
tcf(c_257618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X1,X3)
| leq(host(X2),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_209484,c_206503]) ).
tcf(c_257621,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,s(nbr_proc))
| leq(host(X2),X0)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_209484,c_210335]) ).
tcf(c_257622,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,nbr_proc)
| leq(host(X2),X1)
| leq(X1,s(s(s(X0))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_209484,c_214621]) ).
tcf(c_257629,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(host(X2),X0)
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_209484,c_202065]) ).
tcf(c_257630,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(host(X1),X2)
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_209484,c_208639]) ).
tcf(c_257650,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),nbr_proc)
| leq(X1,host(sK2))
| leq(host(X0),X1)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_209484,c_202057]) ).
tcf(c_257659,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(host(X2),X0)
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_209484,c_204511]) ).
tcf(c_257663,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(zero,s(X1))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_209484,c_204568]) ).
tcf(c_257665,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(host(X2),host(sK8))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_204714]) ).
tcf(c_257667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(s(zero),X3)
| leq(X1,host(X2))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_206179]) ).
tcf(c_257670,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,nbr_proc)
| leq(zero,s(X2))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_211410]) ).
tcf(c_257671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X1,nbr_proc)
| leq(host(X2),X3)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_209486]) ).
tcf(c_257676,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(host(X2),X1)
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_209484,c_109]) ).
tcf(c_257677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X0,nbr_proc)
| leq(X3,X1)
| leq(host(X2),X3)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_209484,c_106]) ).
tcf(c_257682,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(sK8),nbr_proc)
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_209484,c_233035]) ).
tcf(c_257683,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),nbr_proc)
| leq(host(X1),X0)
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_209484,c_208692]) ).
tcf(c_257685,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(sK8),nbr_proc)
| leq(s(X2),X0)
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_209484,c_204891]) ).
tcf(c_257686,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),nbr_proc)
| leq(s(X1),nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_202427]) ).
tcf(c_257699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X1,X2)
| leq(s(X2),X3)
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_209484,c_203670]) ).
tcf(c_257700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X0,X3)
| leq(host(X2),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_209484,c_202048]) ).
tcf(c_257710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X2)
| leq(X3,nbr_proc)
| leq(s(X2),X3)
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_209484,c_206323]) ).
tcf(c_257718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X2,X3)
| leq(X1,X2)
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_209484,c_206503]) ).
tcf(c_257738,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(host(X1),s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_209484,c_208639]) ).
tcf(c_257777,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X1)
| leq(host(X0),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_209484,c_202057]) ).
tcf(c_257790,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(host(X0),s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_209484,c_204511]) ).
tcf(c_257812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X2,X3)
| leq(s(zero),X2)
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_209484,c_206179]) ).
tcf(c_257813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X2,X3)
| leq(host(X1),X2)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_209484,c_203949]) ).
tcf(c_257814,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(s(zero),X1)
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_209484,c_203913]) ).
tcf(c_257816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X1,X3)
| leq(host(X2),nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_209486]) ).
tcf(c_257821,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X2)
| ( host(X1) = X0 )
| ~ leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_209484,c_109]) ).
tcf(c_257822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X0,X3)
| leq(host(X2),X1)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_209484,c_106]) ).
tcf(c_257823,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(s(X1),X2)
| leq(host(X0),X1)
| ( host(X0) = s(X1) ) ),
inference(superposition,[status(thm)],[c_209484,c_114]) ).
tcf(c_257826,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X1)
| ( s(host(X0)) = nbr_proc )
| ~ leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_209484,c_208692]) ).
tcf(c_257828,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(host(sK8),X2)
| leq(s(host(X1)),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_209484,c_204891]) ).
tcf(c_257829,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X1)
| leq(s(host(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_209484,c_202427]) ).
tcf(c_257842,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| ( host(X0) = s(zero) ) ),
inference(superposition,[status(thm)],[c_209484,c_202335]) ).
tcf(c_257846,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(host(sK8),X0)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_209484,c_202057]) ).
tcf(c_258087,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(s(sK10(sK6,sK8)),host(X1))
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204910,c_206179]) ).
tcf(c_258088,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(nbr_proc,s(sK10(sK6,sK8))) ),
inference(superposition,[status(thm)],[c_204910,c_203949]) ).
tcf(c_258089,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(nbr_proc,s(sK10(sK6,sK8))) ),
inference(superposition,[status(thm)],[c_204910,c_203913]) ).
tcf(c_258092,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(s(sK10(sK6,sK8)),X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204910,c_208821]) ).
tcf(c_258095,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(sK10(sK6,sK8)),X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204910,c_202047]) ).
tcf(c_258096,plain,
! [X0: $i] :
( ( s(sK10(sK6,sK8)) = X0 )
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(X0,s(sK10(sK6,sK8))) ),
inference(superposition,[status(thm)],[c_204910,c_109]) ).
tcf(c_258097,plain,
! [X0: $i,X1: $i] :
( leq(s(sK10(sK6,sK8)),X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204910,c_106]) ).
tcf(c_258098,plain,
! [X0: $i] :
( leq(s(sK10(sK6,sK8)),X0)
| ( s(sK10(sK6,sK8)) = s(X0) )
| ~ iPr_def_12
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204910,c_114]) ).
tcf(c_258099,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204910,c_115]) ).
tcf(c_258108,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(nbr_proc,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_204910,c_204411]) ).
tcf(c_258110,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),X0)
| leq(sK10(sK6,sK8),X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204910,c_203670]) ).
tcf(c_258111,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X1)
| ~ leq(X0,sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_204910,c_202048]) ).
tcf(c_258114,plain,
! [X0: $i] :
( leq(sK10(sK6,sK8),s(X0))
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204910,c_203735]) ).
tcf(c_258116,plain,
( ( s(sK10(sK6,sK8)) = nbr_proc )
| ~ iPr_def_12
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(host(sK8),sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_204910,c_208639]) ).
tcf(c_258227,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(s(sK10(sK7,sK8)),host(X1))
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204911,c_206179]) ).
tcf(c_258228,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(nbr_proc,s(sK10(sK7,sK8))) ),
inference(superposition,[status(thm)],[c_204911,c_203949]) ).
tcf(c_258229,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(nbr_proc,s(sK10(sK7,sK8))) ),
inference(superposition,[status(thm)],[c_204911,c_203913]) ).
tcf(c_258232,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(s(sK10(sK7,sK8)),X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204911,c_208821]) ).
tcf(c_258235,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(sK10(sK7,sK8)),X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204911,c_202047]) ).
tcf(c_258236,plain,
! [X0: $i] :
( ( s(sK10(sK7,sK8)) = X0 )
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(X0,s(sK10(sK7,sK8))) ),
inference(superposition,[status(thm)],[c_204911,c_109]) ).
tcf(c_258237,plain,
! [X0: $i,X1: $i] :
( leq(s(sK10(sK7,sK8)),X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_204911,c_106]) ).
tcf(c_258238,plain,
! [X0: $i] :
( leq(s(sK10(sK7,sK8)),X0)
| ( s(sK10(sK7,sK8)) = s(X0) )
| ~ iPr_def_12
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204911,c_114]) ).
tcf(c_258239,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_204911,c_115]) ).
tcf(c_258248,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0)
| ~ leq(nbr_proc,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_204911,c_204411]) ).
tcf(c_258250,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),X0)
| leq(sK10(sK7,sK8),X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204911,c_203670]) ).
tcf(c_258251,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ iPr_def_12
| ~ leq(nbr_proc,X1)
| ~ leq(X0,sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_204911,c_202048]) ).
tcf(c_258254,plain,
! [X0: $i] :
( leq(sK10(sK7,sK8),s(X0))
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204911,c_203735]) ).
tcf(c_258256,plain,
( ( s(sK10(sK7,sK8)) = nbr_proc )
| ~ iPr_def_12
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(host(sK8),sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_204911,c_208639]) ).
tcf(c_258339,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_205154,c_204568]) ).
tcf(c_258341,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ( host(sK2) = host(sK7) )
| ~ leq(s(s(host(sK2))),X0) ),
inference(superposition,[status(thm)],[c_205154,c_204714]) ).
tcf(c_258346,plain,
( leq(host(sK8),nbr_proc)
| leq(zero,s(s(host(sK2))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_205154,c_211410]) ).
tcf(c_258348,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(s(host(sK2))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_205154,c_208821]) ).
tcf(c_258349,plain,
( leq(host(sK8),nbr_proc)
| leq(s(zero),s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_205154,c_205100]) ).
tcf(c_258352,plain,
( ( host(sK2) = host(sK7) )
| ( s(host(sK2)) = host(sK8) )
| ~ leq(s(host(sK2)),host(sK8)) ),
inference(superposition,[status(thm)],[c_205154,c_109]) ).
tcf(c_258353,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( host(sK2) = host(sK7) )
| ~ leq(s(host(sK2)),X0) ),
inference(superposition,[status(thm)],[c_205154,c_106]) ).
tcf(c_258355,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(X0),s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_205154,c_206323]) ).
tcf(c_258356,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(X0,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_205154,c_206193]) ).
tcf(c_258485,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(host(sK8),X0)
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_223259,c_207567]) ).
tcf(c_258498,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(host(sK8),X0)
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208833,c_207567]) ).
tcf(c_258512,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8))
| leq(host(sK8),X0)
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_207567]) ).
tcf(c_258513,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8))
| leq(host(sK8),X0)
| ( s(nbr_proc) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_207567]) ).
tcf(c_258515,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),X0)
| ( s(nbr_proc) = nbr_proc )
| ~ leq(s(nbr_proc),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_207567]) ).
tcf(c_258526,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,host(sK8))
| leq(host(sK8),X1)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_211595,c_207567]) ).
tcf(c_258527,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(sK8))
| leq(host(sK8),X1)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208856,c_207567]) ).
tcf(c_258559,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_227724,c_207567]) ).
tcf(c_258567,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(s(X0)))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_207157,c_207567]) ).
tcf(c_258581,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(X0,s(s(nbr_proc)))
| leq(host(sK8),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206984,c_207567]) ).
tcf(c_258588,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_207567]) ).
tcf(c_258590,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_207567]) ).
tcf(c_258594,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(s(X0)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_206515,c_207567]) ).
tcf(c_258601,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_207567]) ).
tcf(c_258609,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,s(nbr_proc))
| leq(host(sK8),X1)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_230099,c_207567]) ).
tcf(c_258610,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208882,c_207567]) ).
tcf(c_258615,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(host(sK8),X0)
| leq(nbr_proc,s(s(nbr_proc)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_207567]) ).
tcf(c_258683,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_223259,c_207591]) ).
tcf(c_258684,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_207591]) ).
tcf(c_258692,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208884,c_207591]) ).
tcf(c_258693,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(nbr_proc))
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_207591]) ).
tcf(c_258694,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_207591]) ).
tcf(c_258695,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(nbr_proc))
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_207591]) ).
tcf(c_258696,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,host(sK8))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_207591]) ).
tcf(c_258700,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(nbr_proc,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_230099,c_207591]) ).
tcf(c_258703,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208028,c_207591]) ).
tcf(c_258706,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X0,s(nbr_proc))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_207591]) ).
tcf(c_258708,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X0,s(nbr_proc))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_207591]) ).
tcf(c_258722,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,X0)
| leq(X1,nbr_proc)
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208854,c_207591]) ).
tcf(c_258724,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208855,c_207591]) ).
tcf(c_258725,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(X2))
| leq(X2,s(nbr_proc))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_207591]) ).
tcf(c_258726,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X2,s(nbr_proc))
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_207591]) ).
tcf(c_258728,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(sK8))
| leq(X1,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_207591]) ).
tcf(c_258729,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,host(sK8))
| leq(X1,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_207591]) ).
tcf(c_258768,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,sK10(sK6,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_207591]) ).
tcf(c_258769,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232939,c_207591]) ).
tcf(c_258776,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,sK10(sK7,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_207591]) ).
tcf(c_258777,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232940,c_207591]) ).
tcf(c_258794,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X1)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_207591]) ).
tcf(c_258796,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_207591]) ).
tcf(c_258798,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(host(X1)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207313,c_207591]) ).
tcf(c_258799,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(host(X1)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233014,c_207591]) ).
tcf(c_258807,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(nbr_proc)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233020,c_207591]) ).
tcf(c_258808,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206984,c_207591]) ).
tcf(c_258809,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206907,c_207591]) ).
tcf(c_258818,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0)))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_207591]) ).
tcf(c_258828,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(s(s(s(s(X0))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_207591]) ).
tcf(c_258836,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_206181,c_207591]) ).
tcf(c_258843,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(X0))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_207591]) ).
tcf(c_258849,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(X0,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_241022,c_207591]) ).
tcf(c_258852,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,s(nbr_proc))
| leq(X1,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_230099,c_207591]) ).
tcf(c_258858,plain,
! [X0: $i] :
( leq(nbr_proc,host(sK2))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_207591]) ).
tcf(c_259121,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208028,c_207594]) ).
tcf(c_259124,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_207594]) ).
tcf(c_259126,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),s(X1))
| leq(s(X0),s(nbr_proc))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_207594]) ).
tcf(c_259136,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(nbr_proc))
| leq(host(sK8),host(sK8))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_207594]) ).
tcf(c_259137,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,s(nbr_proc))
| leq(host(sK8),host(sK8))
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_207594]) ).
tcf(c_259139,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),host(sK8))
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_207594]) ).
tcf(c_259146,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),s(nbr_proc))
| leq(sK10(sK6,sK8),X0)
| leq(host(sK8),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_207594]) ).
tcf(c_259148,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),s(nbr_proc))
| leq(sK10(sK7,sK8),X0)
| leq(host(sK8),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_207594]) ).
tcf(c_259152,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(host(sK8),X1)
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208854,c_207594]) ).
tcf(c_259164,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202052,c_207594]) ).
tcf(c_259170,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),X0)
| leq(sK10(sK6,sK8),s(nbr_proc))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_207594]) ).
tcf(c_259171,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),X0)
| leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),s(nbr_proc))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_207594]) ).
tcf(c_259177,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),X0)
| leq(sK10(sK7,sK8),s(nbr_proc))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_207594]) ).
tcf(c_259178,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),X0)
| leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),s(nbr_proc))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_207594]) ).
tcf(c_259181,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(host(sK8),X0)
| leq(s(X1),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_207594]) ).
tcf(c_259182,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(host(sK8),X0)
| leq(s(X1),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_207594]) ).
tcf(c_259193,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(s(X0),s(nbr_proc))
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_204676,c_207594]) ).
tcf(c_259194,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),nbr_proc)
| leq(s(X0),s(nbr_proc))
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238534,c_207594]) ).
tcf(c_259195,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(X1))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227726,c_207594]) ).
tcf(c_259196,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(s(X0),s(nbr_proc))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233811,c_207594]) ).
tcf(c_259197,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(host(sK8),X1)
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_209669,c_207594]) ).
tcf(c_259202,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(X1))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208028,c_207594]) ).
tcf(c_259225,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(nbr_proc,s(nbr_proc))
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_227726,c_207594]) ).
tcf(c_259226,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(nbr_proc,s(nbr_proc))
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_227724,c_207594]) ).
tcf(c_259227,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(nbr_proc,s(nbr_proc))
| leq(X1,host(sK8))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208833,c_207594]) ).
tcf(c_259228,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_207594]) ).
tcf(c_259229,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),s(s(X0)))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_204070,c_207594]) ).
tcf(c_259230,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_203811,c_207594]) ).
tcf(c_259232,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),host(X1))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207319,c_207594]) ).
tcf(c_259233,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),host(X1))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232931,c_207594]) ).
tcf(c_259241,plain,
( leq(host(sK8),nbr_proc)
| leq(s(sK10(sK6,sK8)),s(nbr_proc))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_204048,c_207594]) ).
tcf(c_259242,plain,
( leq(host(sK8),nbr_proc)
| leq(s(sK10(sK7,sK8)),s(nbr_proc))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_204049,c_207594]) ).
tcf(c_259243,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(host(sK8),host(sK2))
| leq(s(host(X0)),s(nbr_proc))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_232180,c_207594]) ).
tcf(c_259244,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X0)
| leq(s(s(zero)),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_222418,c_207594]) ).
tcf(c_259245,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X0)
| leq(s(s(zero)),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208874,c_207594]) ).
tcf(c_259246,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(s(s(zero)),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204158,c_207594]) ).
tcf(c_259253,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232939,c_207594]) ).
tcf(c_259261,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232940,c_207594]) ).
tcf(c_259270,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(nbr_proc))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232984,c_207594]) ).
tcf(c_259290,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207157,c_207594]) ).
tcf(c_259292,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207159,c_207594]) ).
tcf(c_259294,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(zero,s(s(X1)))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_207313,c_207594]) ).
tcf(c_259295,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(host(X1)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233014,c_207594]) ).
tcf(c_259303,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(s(nbr_proc)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233020,c_207594]) ).
tcf(c_259304,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(X0))
| leq(host(sK8),s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206984,c_207594]) ).
tcf(c_259310,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| leq(s(s(X0)),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_206326,c_207594]) ).
tcf(c_259312,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(host(sK8),nbr_proc)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_207594]) ).
tcf(c_259314,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(X0,s(nbr_proc))
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_207594]) ).
tcf(c_259320,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(s(sK10(sK6,sK8)),s(nbr_proc))
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204910,c_207594]) ).
tcf(c_259321,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(s(sK10(sK7,sK8)),s(nbr_proc))
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204911,c_207594]) ).
tcf(c_259323,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206383,c_207594]) ).
tcf(c_259325,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(s(X1)))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206515,c_207594]) ).
tcf(c_259329,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_206387,c_207594]) ).
tcf(c_259337,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),host(X1))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_206181,c_207594]) ).
tcf(c_259338,plain,
! [X0: $i] :
( leq(host(sK8),host(X0))
| leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),s(nbr_proc))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_206186,c_207594]) ).
tcf(c_259339,plain,
! [X0: $i] :
( leq(host(sK8),host(X0))
| leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),s(nbr_proc))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_206187,c_207594]) ).
tcf(c_259342,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),s(X0))
| leq(host(X1),s(nbr_proc))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223741,c_207594]) ).
tcf(c_259343,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),s(X0))
| leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223743,c_207594]) ).
tcf(c_259356,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(nbr_proc))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206992,c_207594]) ).
tcf(c_259360,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X0)
| leq(host(sK8),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_207594]) ).
tcf(c_259369,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(host(sK8),s(nbr_proc))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_241022,c_207594]) ).
tcf(c_259370,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(host(sK8),s(nbr_proc))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_224224,c_207594]) ).
tcf(c_259371,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(nbr_proc))
| leq(s(X0),s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208533,c_207594]) ).
tcf(c_259384,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(nbr_proc))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_210354,c_207594]) ).
tcf(c_259385,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(nbr_proc))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_216080,c_207594]) ).
tcf(c_259388,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208034,c_207594]) ).
tcf(c_259394,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(X1),s(nbr_proc))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_225028,c_207594]) ).
tcf(c_259398,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),s(nbr_proc))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_239342,c_207594]) ).
tcf(c_259401,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),s(nbr_proc))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_239439,c_207594]) ).
tcf(c_259403,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),s(X0))
| leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),s(nbr_proc))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_248656,c_207594]) ).
tcf(c_259406,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(host(sK8),s(X0))
| leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),s(nbr_proc))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_248657,c_207594]) ).
tcf(c_259669,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_207701]) ).
tcf(c_259679,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),X0) ),
inference(superposition,[status(thm)],[c_113,c_207701]) ).
tcf(c_259683,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(sK10(sK6,sK8)))
| ( s(s(sK10(sK6,sK8))) = nbr_proc )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203801,c_207701]) ).
tcf(c_259684,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(sK10(sK6,sK8)))
| ( s(sK10(sK6,sK8)) = nbr_proc )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_238112,c_207701]) ).
tcf(c_259686,plain,
( leq(zero,host(sK8))
| ( s(sK10(sK6,sK8)) = nbr_proc )
| ~ iPr_def_11
| ~ leq(s(sK10(sK6,sK8)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_207701]) ).
tcf(c_259695,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208820,c_207701]) ).
tcf(c_259697,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_211595,c_207701]) ).
tcf(c_259698,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208856,c_207701]) ).
tcf(c_259739,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ~ iPr_def_11
| ~ leq(s(s(sK10(sK6,sK8))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_207701]) ).
tcf(c_259767,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(s(sK10(sK6,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206515,c_207701]) ).
tcf(c_259768,plain,
( leq(zero,s(s(s(s(s(s(s(s(sK10(sK6,sK8))))))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206387,c_207701]) ).
tcf(c_259788,plain,
( leq(zero,host(sK2))
| leq(nbr_proc,s(s(sK10(sK6,sK8))))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_227736,c_207701]) ).
tcf(c_259866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),
inference(superposition,[status(thm)],[c_254776,c_135]) ).
tcf(c_259867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37) != q_nil,
inference(superposition,[status(thm)],[c_254776,c_137]) ).
tcf(c_259868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37)),
inference(superposition,[status(thm)],[c_254776,c_101]) ).
tcf(c_259869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38)) ),
inference(superposition,[status(thm)],[c_254776,c_102]) ).
tcf(c_259870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38)) ),
inference(superposition,[status(thm)],[c_254776,c_103]) ).
tcf(c_259871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X0)),
inference(superposition,[status(thm)],[c_254776,c_203176]) ).
tcf(c_259872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),m_Ldr(X37)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36))) ),
inference(superposition,[status(thm)],[c_254776,c_203178]) ).
tcf(c_259873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X0))),
inference(superposition,[status(thm)],[c_254776,c_203596]) ).
tcf(c_259874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39),X0)))),
inference(superposition,[status(thm)],[c_254776,c_207142]) ).
tcf(c_259877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),m_Ldr(X37)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36)) ),
inference(light_normalisation,[status(thm)],[c_259872,c_251402]) ).
tcf(c_259914,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,s(X1))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208814,c_206655]) ).
tcf(c_259915,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,s(X1))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_223259,c_206655]) ).
tcf(c_259916,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(X0,s(X1))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_206655]) ).
tcf(c_259920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X2,X3)
| leq(X1,s(X2))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_209484,c_206655]) ).
tcf(c_259921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,X3)
| leq(X1,s(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_206655]) ).
tcf(c_259924,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(zero,s(X0))
| leq(X2,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208884,c_206655]) ).
tcf(c_259926,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_206655]) ).
tcf(c_259927,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(s(X2),nbr_proc)
| leq(X0,s(X1))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_206655]) ).
tcf(c_259928,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,host(sK8))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_206655]) ).
tcf(c_259930,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(zero,s(X0))
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208864,c_206655]) ).
tcf(c_259933,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(X2,host(sK8))
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_211595,c_206655]) ).
tcf(c_259938,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X1))
| leq(X0,s(X2))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_206655]) ).
tcf(c_259946,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,s(X0))
| leq(X2,host(sK8))
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208833,c_206655]) ).
tcf(c_259947,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(X0,s(X1))
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_206655]) ).
tcf(c_259955,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X1,X0)
| leq(X0,s(X2))
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_206655]) ).
tcf(c_259957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(zero,s(X2))
| leq(X2,s(X3))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_206655]) ).
tcf(c_259958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,s(X3))
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_206655]) ).
tcf(c_259960,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,host(sK8))
| leq(X1,s(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_206655]) ).
tcf(c_259961,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X2,host(sK8))
| leq(X1,s(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_206655]) ).
tcf(c_259962,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(sK8),X1)
| leq(X1,s(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_206655]) ).
tcf(c_259966,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_204676,c_206655]) ).
tcf(c_259967,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,s(X1))
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238534,c_206655]) ).
tcf(c_259984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X0)
| leq(X2,host(X3))
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_206655]) ).
tcf(c_259985,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(X2))
| leq(X0,s(X1))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_207319,c_206655]) ).
tcf(c_259986,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(X2))
| leq(X0,s(X1))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232931,c_206655]) ).
tcf(c_259996,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),host(sK2))
| leq(host(X0),s(X1))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_232180,c_206655]) ).
tcf(c_260000,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,sK10(sK6,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_206655]) ).
tcf(c_260001,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232939,c_206655]) ).
tcf(c_260002,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(X0))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_206655]) ).
tcf(c_260003,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,sK10(sK6,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_206655]) ).
tcf(c_260007,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(sK10(sK6,sK8))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204369,c_206655]) ).
tcf(c_260008,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,sK10(sK7,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_206655]) ).
tcf(c_260009,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232940,c_206655]) ).
tcf(c_260010,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(X0))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_206655]) ).
tcf(c_260011,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,sK10(sK7,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_206655]) ).
tcf(c_260015,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(sK10(sK7,sK8))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204624,c_206655]) ).
tcf(c_260016,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,s(nbr_proc))
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208884,c_206655]) ).
tcf(c_260017,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,s(X0))
| leq(X2,s(nbr_proc))
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_227724,c_206655]) ).
tcf(c_260018,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232984,c_206655]) ).
tcf(c_260019,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_207601,c_206655]) ).
tcf(c_260023,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(X0,s(s(s(s(s(s(s(X1)))))))) ),
inference(superposition,[status(thm)],[c_204514,c_206655]) ).
tcf(c_260025,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X2))
| leq(X2,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208024,c_206655]) ).
tcf(c_260026,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(X2))
| leq(X2,s(s(X1)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_206655]) ).
tcf(c_260027,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,s(X2))
| leq(X2,s(s(X0)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_206655]) ).
tcf(c_260028,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(X2))
| leq(X2,s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_206655]) ).
tcf(c_260030,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(X1))
| leq(X1,s(host(X2)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207313,c_206655]) ).
tcf(c_260031,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(X1))
| leq(X1,s(host(X2)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233014,c_206655]) ).
tcf(c_260032,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(X1))
| leq(X1,s(host(X2)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206665,c_206655]) ).
tcf(c_260034,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(zero,s(s(X2)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206666,c_206655]) ).
tcf(c_260036,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(X0))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_206655]) ).
tcf(c_260037,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(X0))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_206655]) ).
tcf(c_260038,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,s(s(nbr_proc)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_207875,c_206655]) ).
tcf(c_260039,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,s(s(nbr_proc)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233020,c_206655]) ).
tcf(c_260040,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,s(s(nbr_proc)))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206984,c_206655]) ).
tcf(c_260041,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(X1))
| leq(X1,s(s(nbr_proc)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206907,c_206655]) ).
tcf(c_260044,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(zero,s(s(X1)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206674,c_206655]) ).
tcf(c_260047,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(s(zero),X0)
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208814,c_206655]) ).
tcf(c_260048,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,s(X2))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_206655]) ).
tcf(c_260050,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(nbr_proc,s(s(X1)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_206655]) ).
tcf(c_260051,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(X0))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204785,c_206655]) ).
tcf(c_260052,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(X0))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208868,c_206655]) ).
tcf(c_260053,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(nbr_proc,s(s(X1)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_206655]) ).
tcf(c_260054,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(sK10(sK6,sK8),s(X1))
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204910,c_206655]) ).
tcf(c_260055,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(sK10(sK7,sK8),s(X1))
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204911,c_206655]) ).
tcf(c_260056,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,s(X2))
| leq(X2,s(s(X0)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206515,c_206655]) ).
tcf(c_260058,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(X1,host(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206391,c_206655]) ).
tcf(c_260060,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(X0,s(s(s(s(s(s(s(s(X1))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_206655]) ).
tcf(c_260065,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(s(host(X1))))))) ),
inference(superposition,[status(thm)],[c_205006,c_206655]) ).
tcf(c_260071,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(X1,s(s(X2)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206667,c_206655]) ).
tcf(c_260073,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(s(zero),s(X1))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208899,c_206655]) ).
tcf(c_260074,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(zero,s(s(X1)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_206899,c_206655]) ).
tcf(c_260075,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(host(sK8),s(X1))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_206655]) ).
tcf(c_260077,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(s(zero),s(X2))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208897,c_206655]) ).
tcf(c_260078,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(zero,s(s(X2)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_207832,c_206655]) ).
tcf(c_260084,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(X2,s(nbr_proc))
| leq(X1,s(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_230099,c_206655]) ).
tcf(c_260085,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208882,c_206655]) ).
tcf(c_260086,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(X1,s(X2))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_222343,c_206655]) ).
tcf(c_260087,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(X0))
| leq(X1,s(X2))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208838,c_206655]) ).
tcf(c_260088,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(X0))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208880,c_206655]) ).
tcf(c_260089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X2,s(X3))
| leq(X1,s(X2))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_206655]) ).
tcf(c_260090,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK2))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_206655]) ).
tcf(c_260779,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X1,X0)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208820,c_206924]) ).
tcf(c_260786,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208833,c_206924]) ).
tcf(c_260789,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(X1,s(X2))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208820,c_206924]) ).
tcf(c_260796,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_113,c_206924]) ).
tcf(c_260800,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(nbr_proc)))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_206924]) ).
tcf(c_260801,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(nbr_proc)))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_206924]) ).
tcf(c_260802,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(nbr_proc,s(X0))
| leq(X1,host(sK8))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208833,c_206924]) ).
tcf(c_260803,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| ( s(s(nbr_proc)) = nbr_proc )
| ~ leq(s(s(nbr_proc)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_206924]) ).
tcf(c_260812,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X1,s(X0))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208820,c_206924]) ).
tcf(c_260814,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_211595,c_206924]) ).
tcf(c_260815,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,X1)
| leq(X1,host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208856,c_206924]) ).
tcf(c_260829,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,host(X2))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208873,c_206924]) ).
tcf(c_260846,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208884,c_206924]) ).
tcf(c_260847,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(nbr_proc,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_227724,c_206924]) ).
tcf(c_260854,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208024,c_206924]) ).
tcf(c_260855,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(X0)))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_206924]) ).
tcf(c_260877,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_223259,c_206924]) ).
tcf(c_260878,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,nbr_proc)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208857,c_206924]) ).
tcf(c_260879,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(s(s(nbr_proc))))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_206924]) ).
tcf(c_260882,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(s(s(nbr_proc))))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_206924]) ).
tcf(c_260883,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(X0)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_206515,c_206924]) ).
tcf(c_260886,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(s(s(nbr_proc))))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206667,c_206924]) ).
tcf(c_260890,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(s(nbr_proc)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_206924]) ).
tcf(c_260898,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_230099,c_206924]) ).
tcf(c_260899,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208882,c_206924]) ).
tcf(c_260901,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208838,c_206924]) ).
tcf(c_260904,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK2))
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_206924]) ).
tcf(c_261033,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_223259,c_207017]) ).
tcf(c_261034,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_207017]) ).
tcf(c_261039,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(X1,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_207017]) ).
tcf(c_261042,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208884,c_207017]) ).
tcf(c_261043,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,s(nbr_proc))
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_207017]) ).
tcf(c_261044,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_207017]) ).
tcf(c_261045,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,s(nbr_proc))
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_207017]) ).
tcf(c_261046,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK8))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_207017]) ).
tcf(c_261049,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(X1,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_207017]) ).
tcf(c_261050,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(zero,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_230099,c_207017]) ).
tcf(c_261051,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(zero,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_211595,c_207017]) ).
tcf(c_261052,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(zero,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_208856,c_207017]) ).
tcf(c_261053,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208028,c_207017]) ).
tcf(c_261056,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X0,s(nbr_proc))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_207017]) ).
tcf(c_261075,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,s(X2))
| leq(X2,s(nbr_proc))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_207017]) ).
tcf(c_261078,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X1,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_207017]) ).
tcf(c_261079,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X1,s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_207017]) ).
tcf(c_261081,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_207017]) ).
tcf(c_261102,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(X2))
| leq(X1,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_207017]) ).
tcf(c_261118,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,sK10(sK6,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_207017]) ).
tcf(c_261121,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,sK10(sK6,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_207017]) ).
tcf(c_261126,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,sK10(sK7,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_207017]) ).
tcf(c_261129,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,sK10(sK7,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_207017]) ).
tcf(c_261141,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_204514,c_207017]) ).
tcf(c_261143,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208024,c_207017]) ).
tcf(c_261144,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(s(X1)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_207017]) ).
tcf(c_261145,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(zero,s(s(X0)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_207017]) ).
tcf(c_261146,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_207017]) ).
tcf(c_261148,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(host(X1)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207313,c_207017]) ).
tcf(c_261149,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(host(X1)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233014,c_207017]) ).
tcf(c_261150,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(host(X1)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206665,c_207017]) ).
tcf(c_261174,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(zero,s(s(X0)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206515,c_207017]) ).
tcf(c_261178,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(s(s(s(s(s(s(s(X0))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_207017]) ).
tcf(c_261189,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(s(X1)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206667,c_207017]) ).
tcf(c_261205,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208838,c_207017]) ).
tcf(c_261208,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_207017]) ).
tcf(c_261364,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(zero,s(X1))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208820,c_207022]) ).
tcf(c_261385,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(zero,s(X0))
| leq(X0,host(sK8))
| ( s(s(nbr_proc)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_207022]) ).
tcf(c_261386,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(zero,s(X0))
| leq(X0,host(sK8))
| ( s(nbr_proc) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_207022]) ).
tcf(c_261387,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208833,c_207022]) ).
tcf(c_261388,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK8))
| ( s(nbr_proc) = nbr_proc )
| ~ leq(s(nbr_proc),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_207022]) ).
tcf(c_261394,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,X0)
| leq(zero,s(X1))
| ( s(nbr_proc) = X0 ) ),
inference(superposition,[status(thm)],[c_203458,c_207022]) ).
tcf(c_261399,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_211595,c_207022]) ).
tcf(c_261400,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_208856,c_207022]) ).
tcf(c_261401,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),nbr_proc)
| leq(zero,s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_207022]) ).
tcf(c_261414,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(zero,s(X0))
| leq(X2,s(nbr_proc))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_207022]) ).
tcf(c_261432,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_227724,c_207022]) ).
tcf(c_261437,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_204514,c_207022]) ).
tcf(c_261439,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(zero,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208024,c_207022]) ).
tcf(c_261440,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(s(X0)))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_207157,c_207022]) ).
tcf(c_261441,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_207022]) ).
tcf(c_261442,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(s(X0)))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207159,c_207022]) ).
tcf(c_261463,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_207022]) ).
tcf(c_261466,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_207022]) ).
tcf(c_261467,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(s(X0)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_206515,c_207022]) ).
tcf(c_261468,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(s(s(s(s(nbr_proc))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_207022]) ).
tcf(c_261470,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206667,c_207022]) ).
tcf(c_261474,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_207022]) ).
tcf(c_261482,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_230099,c_207022]) ).
tcf(c_261483,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208882,c_207022]) ).
tcf(c_261485,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X1,s(nbr_proc))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208838,c_207022]) ).
tcf(c_261488,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(X0,host(sK2))
| leq(nbr_proc,s(s(nbr_proc)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_207022]) ).
tcf(c_270727,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(X1))
| leq(X1,host(sK8))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_211409,c_204714]) ).
tcf(c_270731,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211409,c_203949]) ).
tcf(c_270739,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| ( X0 = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211409,c_109]) ).
tcf(c_270751,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(zero,s(X0))
| leq(s(X2),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_211409,c_203670]) ).
tcf(c_270752,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(X2))
| leq(X2,s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_211409,c_202048]) ).
tcf(c_270761,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(zero,s(X0))
| leq(s(X2),nbr_proc)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_211409,c_206323]) ).
tcf(c_270769,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(zero,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211409,c_206503]) ).
tcf(c_270780,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_211409,c_202065]) ).
tcf(c_270781,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(X0))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_211409,c_208639]) ).
tcf(c_270797,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(host(X1),nbr_proc)
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_211409,c_223145]) ).
tcf(c_270813,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_211409,c_204511]) ).
tcf(c_270819,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(nbr_proc,s(X0))
| leq(zero,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_211409,c_203804]) ).
tcf(c_270820,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(zero,s(host(sK8)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_211409,c_204714]) ).
tcf(c_270823,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(zero,s(X0))
| leq(s(zero),X2)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_211409,c_206179]) ).
tcf(c_270824,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(zero,s(X0))
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211409,c_203949]) ).
tcf(c_270825,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(s(zero),X1)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_211409,c_203913]) ).
tcf(c_270832,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_211409,c_109]) ).
tcf(c_270833,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(X2,X1)
| leq(zero,s(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_211409,c_106]) ).
tcf(c_270842,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(zero,s(X0))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_211409,c_202427]) ).
tcf(c_270853,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,s(X1))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_211409,c_206655]) ).
tcf(c_270857,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X1)
| leq(s(X1),X2)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_211409,c_203670]) ).
tcf(c_270858,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X2)
| leq(zero,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_211409,c_202048]) ).
tcf(c_270876,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(X0,X1)
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_211409,c_206503]) ).
tcf(c_270896,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,s(s(X0)))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_211409,c_208639]) ).
tcf(c_270938,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X0)
| leq(zero,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_211409,c_202057]) ).
tcf(c_270951,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(zero,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_211409,c_204511]) ).
tcf(c_270971,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X2)
| leq(zero,host(X1))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_211409,c_206179]) ).
tcf(c_270980,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| ( s(X0) = zero )
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_211409,c_109]) ).
tcf(c_270981,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,nbr_proc)
| leq(X0,X2)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_211409,c_106]) ).
tcf(c_271034,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(X1,nbr_proc)
| leq(X0,X1)
| leq(nbr_proc,s(X0)) ),
inference(light_normalisation,[status(thm)],[c_270819,c_202443]) ).
tcf(c_271062,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| ~ leq(s(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_270820,c_202443]) ).
tcf(c_271157,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(X1))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_211427,c_206179]) ).
tcf(c_271166,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(s(s(s(X0)))) = zero )
| ~ leq(s(s(s(s(X0)))),zero) ),
inference(superposition,[status(thm)],[c_211427,c_109]) ).
tcf(c_271167,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_211427,c_106]) ).
tcf(c_271190,plain,
! [X0: $i] :
( ( s(s(X0)) = s(zero) )
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(X0)),s(zero)) ),
inference(superposition,[status(thm)],[c_213108,c_109]) ).
tcf(c_271191,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_213108,c_106]) ).
tcf(c_271192,plain,
! [X0: $i] :
( leq(s(zero),s(X0))
| ( s(s(X0)) = s(zero) )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_213108,c_114]) ).
tcf(c_271200,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(X1)))
| ~ leq(nbr_proc,X1)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_213108,c_202048]) ).
tcf(c_271257,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208833,c_207983]) ).
tcf(c_271267,plain,
! [X0: $i] :
( leq(zero,s(X0))
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),X0) ),
inference(superposition,[status(thm)],[c_113,c_207983]) ).
tcf(c_271271,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(sK10(sK7,sK8)))
| ( s(s(sK10(sK7,sK8))) = nbr_proc )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_203801,c_207983]) ).
tcf(c_271272,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(sK10(sK7,sK8)))
| ( s(sK10(sK7,sK8)) = nbr_proc )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_238112,c_207983]) ).
tcf(c_271274,plain,
( leq(zero,host(sK8))
| ( s(sK10(sK7,sK8)) = nbr_proc )
| ~ iPr_def_11
| ~ leq(s(sK10(sK7,sK8)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_207983]) ).
tcf(c_271283,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(X0))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208820,c_207983]) ).
tcf(c_271285,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_211595,c_207983]) ).
tcf(c_271286,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208856,c_207983]) ).
tcf(c_271327,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| ~ iPr_def_11
| ~ leq(s(s(sK10(sK7,sK8))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_207983]) ).
tcf(c_271356,plain,
! [X0: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(s(sK10(sK7,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206515,c_207983]) ).
tcf(c_271357,plain,
( leq(zero,s(s(s(s(s(s(s(s(sK10(sK7,sK8))))))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_206387,c_207983]) ).
tcf(c_271377,plain,
( leq(zero,host(sK2))
| leq(nbr_proc,s(s(sK10(sK7,sK8))))
| ( host(sK2) = host(sK7) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_227736,c_207983]) ).
tcf(c_271409,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(nbr_proc,s(host(sK8)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208026,c_204568]) ).
tcf(c_271410,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(nbr_proc,s(host(sK8)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208026,c_203804]) ).
tcf(c_271411,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(host(sK8)))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_208026,c_204714]) ).
tcf(c_271412,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(sK8)))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208026,c_202428]) ).
tcf(c_271413,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208026,c_207594]) ).
tcf(c_271414,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,host(X2))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208026,c_206179]) ).
tcf(c_271415,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(host(X1),s(s(X2)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208026,c_203949]) ).
tcf(c_271416,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(s(zero),s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208026,c_203913]) ).
tcf(c_271418,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(X2))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_208026,c_209486]) ).
tcf(c_271420,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208026,c_205100]) ).
tcf(c_271423,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| ( s(s(X0)) = X1 )
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_208026,c_109]) ).
tcf(c_271424,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(X2,X1)
| leq(nbr_proc,s(X2))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_208026,c_106]) ).
tcf(c_271425,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,s(X0))
| ( s(s(X0)) = X1 ) ),
inference(superposition,[status(thm)],[c_208026,c_114]) ).
tcf(c_271432,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(X1)))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208026,c_207017]) ).
tcf(c_271433,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,s(X0))
| leq(nbr_proc,s(s(X2)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208026,c_206655]) ).
tcf(c_271434,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(X1)))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208026,c_204564]) ).
tcf(c_271435,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(zero,s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_208026,c_204411]) ).
tcf(c_271436,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(X1)))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208026,c_203800]) ).
tcf(c_271437,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(nbr_proc,s(s(X2)))
| leq(s(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_208026,c_203670]) ).
tcf(c_271438,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(nbr_proc,s(s(X1)))
| leq(X0,s(s(X2)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_208026,c_202048]) ).
tcf(c_271439,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X1)))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208026,c_204027]) ).
tcf(c_271447,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(host(X2)))
| leq(s(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_208026,c_206323]) ).
tcf(c_271448,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X0)
| leq(nbr_proc,s(host(X2)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208026,c_206193]) ).
tcf(c_271449,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(host(X2)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208026,c_204463]) ).
tcf(c_271455,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X1)
| leq(X1,s(s(X2)))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208026,c_206503]) ).
tcf(c_271460,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X1)))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208026,c_214130]) ).
tcf(c_271463,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(sK10(sK6,sK8)))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208026,c_202063]) ).
tcf(c_271465,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(sK10(sK7,sK8)))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208026,c_202064]) ).
tcf(c_271471,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208026,c_207022]) ).
tcf(c_271472,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208026,c_207567]) ).
tcf(c_271479,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc))))
| leq(host(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208026,c_224023]) ).
tcf(c_271492,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(sK2)))
| leq(host(sK8),s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_208026,c_202057]) ).
tcf(c_271499,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(s(X1)))
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_208026,c_206597]) ).
tcf(c_271501,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(s(X1)))
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_208026,c_202069]) ).
tcf(c_271502,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(s(X1)))
| leq(nbr_proc,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_208026,c_204511]) ).
tcf(c_271507,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_208026,c_211870]) ).
tcf(c_271508,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(light_normalisation,[status(thm)],[c_271412,c_202443]) ).
tcf(c_271606,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(X1))) ),
inference(light_normalisation,[status(thm)],[c_271410,c_202443]) ).
tcf(c_271607,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(X0,s(s(X1))) ),
inference(light_normalisation,[status(thm)],[c_271409,c_202443]) ).
tcf(c_271612,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| ~ leq(s(s(s(X0))),X1) ),
inference(light_normalisation,[status(thm)],[c_271411,c_202443]) ).
tcf(c_271737,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(zero,s(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208884,c_208029]) ).
tcf(c_271738,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_208029]) ).
tcf(c_271740,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_208029]) ).
tcf(c_271751,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_208029]) ).
tcf(c_271753,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_208029]) ).
tcf(c_271757,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(nbr_proc,s(host(sK8)))
| ( s(s(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_208029]) ).
tcf(c_271758,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(nbr_proc,s(host(sK8)))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_208029]) ).
tcf(c_271760,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(sK8)))
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_208029]) ).
tcf(c_271770,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(zero,s(X2))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_208029]) ).
tcf(c_271771,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_208029]) ).
tcf(c_271773,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(host(sK8)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_208029]) ).
tcf(c_271774,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(host(sK8)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_208029]) ).
tcf(c_271776,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_208029]) ).
tcf(c_271780,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238534,c_208029]) ).
tcf(c_271782,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233811,c_208029]) ).
tcf(c_271799,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(X1)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232931,c_208029]) ).
tcf(c_271814,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(sK10(sK6,sK8)))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232939,c_208029]) ).
tcf(c_271822,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(sK10(sK7,sK8)))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232940,c_208029]) ).
tcf(c_271831,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232984,c_208029]) ).
tcf(c_271840,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(X1))))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_208029]) ).
tcf(c_271842,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(X1))))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_208029]) ).
tcf(c_271845,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(host(X1))))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233014,c_208029]) ).
tcf(c_271853,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc))))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233020,c_208029]) ).
tcf(c_271861,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(zero,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_211409,c_208029]) ).
tcf(c_271862,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(s(zero),X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208814,c_208029]) ).
tcf(c_271863,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_208029]) ).
tcf(c_271900,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_230099,c_208029]) ).
tcf(c_271905,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(X1,s(X2))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_208029]) ).
tcf(c_271906,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(host(sK2)))
| leq(nbr_proc,s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_208029]) ).
tcf(c_271912,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202443,c_208029]) ).
tcf(c_271955,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,s(s(X1))) ),
inference(light_normalisation,[status(thm)],[c_271774,c_202443]) ).
tcf(c_271956,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,X0)
| leq(X1,nbr_proc)
| leq(X0,s(s(X1))) ),
inference(light_normalisation,[status(thm)],[c_271773,c_202443]) ).
tcf(c_271965,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| ( s(X0) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_271758,c_202443]) ).
tcf(c_271966,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,nbr_proc)
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_271760,c_202443]) ).
tcf(c_271967,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| ( s(s(X0)) = nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_271757,c_202443]) ).
tcf(c_272012,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_208035,c_207594]) ).
tcf(c_272013,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(X1))
| leq(s(zero),s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_208035,c_206179]) ).
tcf(c_272018,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(X0,s(s(s(s(s(s(s(X1)))))))) ),
inference(superposition,[status(thm)],[c_208035,c_208821]) ).
tcf(c_272022,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(s(s(s(s(s(X0)))))) = nbr_proc )
| ~ leq(s(s(s(s(s(s(X0)))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_208035,c_109]) ).
tcf(c_272023,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| ~ leq(s(s(s(s(s(s(X0)))))),X1) ),
inference(superposition,[status(thm)],[c_208035,c_106]) ).
tcf(c_272025,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_208035,c_234688]) ).
tcf(c_272026,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X0)
| leq(X0,s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_208035,c_218832]) ).
tcf(c_272027,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(X0,s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_208035,c_203574]) ).
tcf(c_272096,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ~ leq(X0,nbr_proc) ),
inference(global_subsumption_just,[status(thm)],[c_208600,c_137305]) ).
tcf(c_272104,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(nbr_proc,host(sK8))
| ~ leq(s(s(s(s(s(s(s(nbr_proc))))))),X0) ),
inference(superposition,[status(thm)],[c_212354,c_204714]) ).
tcf(c_272105,plain,
( leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_212354,c_202428]) ).
tcf(c_272116,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ( s(s(s(s(s(s(nbr_proc)))))) = X0 )
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),X0) ),
inference(superposition,[status(thm)],[c_212354,c_109]) ).
tcf(c_272117,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,X0)
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),X0) ),
inference(superposition,[status(thm)],[c_212354,c_106]) ).
tcf(c_272127,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(X0))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_212354,c_206655]) ).
tcf(c_272131,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(X1))
| leq(s(X0),s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_212354,c_203670]) ).
tcf(c_272132,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X0,s(s(s(s(s(s(nbr_proc)))))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_212354,c_202048]) ).
tcf(c_272141,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(nbr_proc,host(X1))
| leq(s(X0),s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_212354,c_206323]) ).
tcf(c_272149,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_212354,c_206503]) ).
tcf(c_272153,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc)))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_212354,c_214621]) ).
tcf(c_272154,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(X0))))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_212354,c_214130]) ).
tcf(c_272172,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_212354,c_206924]) ).
tcf(c_272183,plain,
( leq(nbr_proc,s(s(s(s(nbr_proc)))))
| leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_212354,c_204789]) ).
tcf(c_272195,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(s(s(X0))))))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_212354,c_204511]) ).
tcf(c_272265,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(host(sK8),host(sK8))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_204568]) ).
tcf(c_272266,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(host(sK8),host(sK8))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_203804]) ).
tcf(c_272267,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),host(sK8))
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),X0) ),
inference(superposition,[status(thm)],[c_213326,c_204714]) ).
tcf(c_272269,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X0)
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_207594]) ).
tcf(c_272271,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(host(X1),s(s(s(s(s(nbr_proc))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_213326,c_203949]) ).
tcf(c_272275,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_213326,c_208821]) ).
tcf(c_272278,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_202047]) ).
tcf(c_272279,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| ( s(s(s(s(s(nbr_proc))))) = X0 )
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_213326,c_109]) ).
tcf(c_272280,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),X1)
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_213326,c_106]) ).
tcf(c_272288,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(X0))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_213326,c_208029]) ).
tcf(c_272290,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(host(sK8),s(X1))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_206655]) ).
tcf(c_272293,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),s(X0))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_203800]) ).
tcf(c_272294,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(X1))
| leq(s(X0),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_203670]) ).
tcf(c_272295,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),s(X1))
| leq(X0,s(s(s(s(s(nbr_proc))))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_213326,c_202048]) ).
tcf(c_272297,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(X1))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_204001]) ).
tcf(c_272298,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_213326,c_203735]) ).
tcf(c_272302,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_203574]) ).
tcf(c_272304,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),host(X1))
| leq(s(X0),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_206323]) ).
tcf(c_272305,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(sK8),host(X1))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_206193]) ).
tcf(c_272306,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),host(X1))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_204463]) ).
tcf(c_272312,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(s(X1)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_206503]) ).
tcf(c_272313,plain,
! [X0: $i] :
( leq(host(sK8),s(s(X0)))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_213326,c_206377]) ).
tcf(c_272315,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(X0))))
| leq(X0,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_213326,c_210335]) ).
tcf(c_272316,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(X0))))
| leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_213326,c_214621]) ).
tcf(c_272318,plain,
! [X0: $i] :
( leq(host(sK8),s(s(s(X0))))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_202061]) ).
tcf(c_272323,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(s(nbr_proc))))))
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_213326,c_202065]) ).
tcf(c_272324,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_213326,c_220294]) ).
tcf(c_272328,plain,
! [X0: $i] :
( leq(zero,s(X0))
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_207022]) ).
tcf(c_272329,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_207567]) ).
tcf(c_272331,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_204171]) ).
tcf(c_272335,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(s(nbr_proc)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_206924]) ).
tcf(c_272346,plain,
( leq(host(sK8),s(s(s(s(nbr_proc)))))
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_213326,c_204789]) ).
tcf(c_272349,plain,
( leq(host(sK8),host(sK2))
| leq(host(sK8),s(s(s(s(s(nbr_proc))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_213326,c_202057]) ).
tcf(c_272358,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(s(nbr_proc))))))
| leq(host(sK8),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_213326,c_204511]) ).
tcf(c_272362,plain,
leq(host(sK8),s(s(s(s(s(s(s(s(s(s(s(nbr_proc)))))))))))),
inference(superposition,[status(thm)],[c_213326,c_204971]) ).
tcf(c_272963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39),
inference(superposition,[status(thm)],[c_259866,c_135]) ).
tcf(c_272964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38) != q_nil,
inference(superposition,[status(thm)],[c_259866,c_137]) ).
tcf(c_272965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38)),
inference(superposition,[status(thm)],[c_259866,c_101]) ).
tcf(c_272966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39)) ),
inference(superposition,[status(thm)],[c_259866,c_102]) ).
tcf(c_272967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39)) ),
inference(superposition,[status(thm)],[c_259866,c_103]) ).
tcf(c_272968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X0)),
inference(superposition,[status(thm)],[c_259866,c_203176]) ).
tcf(c_272969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),m_Ldr(X38)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37))) ),
inference(superposition,[status(thm)],[c_259866,c_203178]) ).
tcf(c_272970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39),X0))),
inference(superposition,[status(thm)],[c_259866,c_203596]) ).
tcf(c_272971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i,X40: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39),X40),X0)))),
inference(superposition,[status(thm)],[c_259866,c_207142]) ).
tcf(c_272974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),m_Ldr(X38)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37)) ),
inference(light_normalisation,[status(thm)],[c_272969,c_254776]) ).
tcf(c_272994,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,nbr_proc)
| leq(X0,host(X1))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_223259,c_207298]) ).
tcf(c_272995,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(nbr_proc))
| leq(X0,host(X1))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_207298]) ).
tcf(c_272999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X3)
| leq(X3,nbr_proc)
| leq(X1,host(X2))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_209484,c_207298]) ).
tcf(c_273000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X3)
| leq(X3,X0)
| leq(X1,host(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_207298]) ).
tcf(c_273005,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(nbr_proc))
| leq(X0,host(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_207298]) ).
tcf(c_273006,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),nbr_proc)
| leq(X0,host(X1))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_207298]) ).
tcf(c_273007,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,host(sK8))
| leq(X0,host(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_207298]) ).
tcf(c_273010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(zero,s(X3))
| leq(X1,host(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_207298]) ).
tcf(c_273011,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,s(X0))
| leq(zero,s(X2))
| leq(X2,s(nbr_proc))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_230099,c_207298]) ).
tcf(c_273012,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(zero,s(X0))
| leq(X2,host(sK8))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_211595,c_207298]) ).
tcf(c_273013,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,s(X0))
| leq(zero,s(X2))
| leq(X2,host(sK8))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208856,c_207298]) ).
tcf(c_273014,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(zero,s(X2))
| leq(X0,host(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208028,c_207298]) ).
tcf(c_273017,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X1))
| leq(X0,host(X2))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_207298]) ).
tcf(c_273023,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,host(X1))
| ( s(s(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_207298]) ).
tcf(c_273024,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,host(X1))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_207298]) ).
tcf(c_273025,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X1,host(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208833,c_207298]) ).
tcf(c_273026,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(X0,host(X1))
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_207298]) ).
tcf(c_273034,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,host(X2))
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_207298]) ).
tcf(c_273036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X0)
| leq(zero,s(X2))
| leq(X2,host(X3))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_207298]) ).
tcf(c_273039,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X1,host(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_207298]) ).
tcf(c_273040,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X1,host(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_207298]) ).
tcf(c_273042,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(zero,X0)
| leq(X1,host(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_207298]) ).
tcf(c_273054,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,host(X1))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_207298]) ).
tcf(c_273055,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,host(X1))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_207298]) ).
tcf(c_273056,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,host(X1))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_207875,c_207298]) ).
tcf(c_273057,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(zero,host(X2))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206665,c_207298]) ).
tcf(c_273060,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,host(X1))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_207866,c_207298]) ).
tcf(c_273063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(zero,X0)
| leq(zero,host(X3))
| leq(X1,host(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_207298]) ).
tcf(c_273079,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(zero,sK10(sK6,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_207298]) ).
tcf(c_273082,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(zero,sK10(sK6,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204361,c_207298]) ).
tcf(c_273087,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(zero,sK10(sK7,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_207298]) ).
tcf(c_273090,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(zero,sK10(sK7,sK8))
| leq(s(zero),s(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204616,c_207298]) ).
tcf(c_273103,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(X1,host(X2))
| leq(nbr_proc,s(s(X1)))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208026,c_207298]) ).
tcf(c_273105,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,host(X2))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208024,c_207298]) ).
tcf(c_273106,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(zero,s(s(X1)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_207298]) ).
tcf(c_273107,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(X2))
| leq(zero,s(s(X0)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_207298]) ).
tcf(c_273108,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(zero,s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_207298]) ).
tcf(c_273110,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(zero,s(host(X1)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207313,c_207298]) ).
tcf(c_273111,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(zero,s(host(X1)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233014,c_207298]) ).
tcf(c_273112,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(X2))
| leq(zero,s(host(X1)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206665,c_207298]) ).
tcf(c_273137,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(sK10(sK6,sK8),host(X1))
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204910,c_207298]) ).
tcf(c_273138,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(sK10(sK7,sK8),host(X1))
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204911,c_207298]) ).
tcf(c_273139,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(X2))
| leq(zero,s(s(X0)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206515,c_207298]) ).
tcf(c_273155,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,host(X2))
| leq(X0,s(s(X1)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206667,c_207298]) ).
tcf(c_273174,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK2))
| leq(X0,host(X1))
| leq(nbr_proc,s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_207298]) ).
tcf(c_273300,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(zero,s(X1))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_223259,c_207303]) ).
tcf(c_273301,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(zero,s(X2))
| leq(X1,s(nbr_proc))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_207303]) ).
tcf(c_273305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(X2,X3)
| leq(zero,s(X2))
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_209484,c_207303]) ).
tcf(c_273306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(X2,X3)
| leq(zero,s(X2))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_207303]) ).
tcf(c_273309,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(zero,host(X1))
| leq(X0,s(nbr_proc)) ),
inference(superposition,[status(thm)],[c_208884,c_207303]) ).
tcf(c_273310,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(zero,s(X2))
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_207303]) ).
tcf(c_273311,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(zero,s(X2))
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_207303]) ).
tcf(c_273312,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(zero,s(X2))
| leq(s(X1),nbr_proc)
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_207303]) ).
tcf(c_273313,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(zero,s(X2))
| leq(X1,host(sK8))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_207303]) ).
tcf(c_273315,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(zero,host(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208864,c_207303]) ).
tcf(c_273318,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(zero,host(X2))
| leq(X1,host(sK8))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_211595,c_207303]) ).
tcf(c_273320,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(zero,s(X1))
| leq(X1,s(X2))
| leq(nbr_proc,s(host(X0))) ),
inference(superposition,[status(thm)],[c_208028,c_207303]) ).
tcf(c_273323,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(X1))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_207303]) ).
tcf(c_273326,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(nbr_proc,s(host(sK2)))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_207303]) ).
tcf(c_273329,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,host(X0))
| leq(zero,s(X1))
| leq(X1,host(sK8))
| ( s(host(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_207303]) ).
tcf(c_273332,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,host(sK8))
| ( host(X0) = nbr_proc )
| ~ leq(host(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_207303]) ).
tcf(c_273343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,X0)
| leq(zero,s(X3))
| leq(zero,host(X2))
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_207303]) ).
tcf(c_273351,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,s(X2))
| leq(X2,host(sK8))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_207303]) ).
tcf(c_273352,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(X2))
| leq(X2,host(sK8))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_207303]) ).
tcf(c_273379,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(s(s(host(X1)))))))) ),
inference(superposition,[status(thm)],[c_204514,c_207303]) ).
tcf(c_273380,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(nbr_proc,s(host(X2)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208026,c_207303]) ).
tcf(c_273382,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,host(X2))
| leq(zero,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208024,c_207303]) ).
tcf(c_273383,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(s(X1)))
| ~ leq(s(host(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_207303]) ).
tcf(c_273384,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(s(X0)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206376,c_207303]) ).
tcf(c_273385,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(s(X1)))
| ~ leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_207159,c_207303]) ).
tcf(c_273390,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(s(zero),host(X2))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_208896,c_207303]) ).
tcf(c_273391,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(zero,s(host(X2)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_206666,c_207303]) ).
tcf(c_273393,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,host(X1))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208890,c_207303]) ).
tcf(c_273394,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,host(X1))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208891,c_207303]) ).
tcf(c_273397,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(s(nbr_proc)))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_206984,c_207303]) ).
tcf(c_273399,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(s(nbr_proc)))
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_223102,c_207303]) ).
tcf(c_273401,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,s(host(X1)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_206674,c_207303]) ).
tcf(c_273407,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(host(sK8),host(X1))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_207303]) ).
tcf(c_273408,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(nbr_proc,s(host(X1)))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_207303]) ).
tcf(c_273411,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,host(X1))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208868,c_207303]) ).
tcf(c_273412,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(nbr_proc,s(host(X1)))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_207303]) ).
tcf(c_273413,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(s(X0)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_206515,c_207303]) ).
tcf(c_273414,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(X0,s(s(s(s(s(s(s(host(X1))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_207303]) ).
tcf(c_273417,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X1))
| leq(X2,host(sK2))
| leq(X1,s(X2))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_207303]) ).
tcf(c_273421,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(X1,s(host(X2)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206667,c_207303]) ).
tcf(c_273422,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(X1,host(X2))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208835,c_207303]) ).
tcf(c_273426,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(s(zero),host(X1))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208899,c_207303]) ).
tcf(c_273427,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,s(host(X1)))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_206899,c_207303]) ).
tcf(c_273428,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(host(sK8),host(X1))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_207303]) ).
tcf(c_273429,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,host(X1))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208867,c_207303]) ).
tcf(c_273430,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(s(zero),host(X2))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208897,c_207303]) ).
tcf(c_273431,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(zero,s(host(X2)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_207832,c_207303]) ).
tcf(c_273432,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(zero,host(X2))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_208879,c_207303]) ).
tcf(c_273434,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(X2))
| leq(X2,s(nbr_proc))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_230099,c_207303]) ).
tcf(c_273435,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208882,c_207303]) ).
tcf(c_273436,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(nbr_proc))
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_222343,c_207303]) ).
tcf(c_273437,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(X1,host(X2))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_208838,c_207303]) ).
tcf(c_273438,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X0))
| leq(zero,host(X2))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208880,c_207303]) ).
tcf(c_273439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X3,nbr_proc)
| leq(zero,s(X3))
| leq(X1,host(X2))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_207303]) ).
tcf(c_273440,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,host(sK2))
| leq(nbr_proc,s(host(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_207303]) ).
tcf(c_273450,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| ( host(sK2) = nbr_proc )
| ~ leq(host(sK2),X0) ),
inference(superposition,[status(thm)],[c_204701,c_207303]) ).
tcf(c_273578,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,host(sK8))
| ( host(X0) = nbr_proc ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273332,c_120]) ).
tcf(c_273657,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(s(s(s(s(s(host(X0)))))))) ),
inference(superposition,[status(thm)],[c_223259,c_207904]) ).
tcf(c_273658,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_208882,c_207904]) ).
tcf(c_273662,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,nbr_proc)
| leq(host(X0),s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_209484,c_207904]) ).
tcf(c_273663,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(X0,s(s(s(s(s(host(X1))))))) ),
inference(superposition,[status(thm)],[c_208820,c_207904]) ).
tcf(c_273667,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(s(s(s(host(X0))))))) ),
inference(superposition,[status(thm)],[c_227726,c_207904]) ).
tcf(c_273668,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(s(host(X0))))))) ),
inference(superposition,[status(thm)],[c_227724,c_207904]) ).
tcf(c_273669,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_209669,c_207904]) ).
tcf(c_273670,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(s(s(host(X0))))))) ),
inference(superposition,[status(thm)],[c_208833,c_207904]) ).
tcf(c_273673,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_208820,c_207904]) ).
tcf(c_273674,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_230099,c_207904]) ).
tcf(c_273676,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_208856,c_207904]) ).
tcf(c_273677,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(nbr_proc,s(s(s(s(s(host(X0))))))) ),
inference(superposition,[status(thm)],[c_208028,c_207904]) ).
tcf(c_273680,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| ~ leq(s(s(s(s(host(X0))))),X1) ),
inference(superposition,[status(thm)],[c_113,c_207904]) ).
tcf(c_273684,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(host(X0))))))
| ( s(s(s(s(s(host(X0)))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_207904]) ).
tcf(c_273685,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(host(X0))))))
| ( s(s(s(s(host(X0))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_207904]) ).
tcf(c_273686,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_208833,c_207904]) ).
tcf(c_273687,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| ( s(s(s(s(host(X0))))) = nbr_proc )
| ~ leq(s(s(s(s(host(X0))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_207904]) ).
tcf(c_273693,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(s(host(X0)))))
| ( s(s(s(s(host(X0))))) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_207904]) ).
tcf(c_273696,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(X0))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_208820,c_207904]) ).
tcf(c_273698,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(s(s(s(host(X1))))))) ),
inference(superposition,[status(thm)],[c_211595,c_207904]) ).
tcf(c_273699,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,host(sK8))
| leq(X0,s(s(s(s(s(host(X1))))))) ),
inference(superposition,[status(thm)],[c_208856,c_207904]) ).
tcf(c_273700,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),s(s(s(host(X1)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_207904]) ).
tcf(c_273701,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(s(s(host(X1)))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_207904]) ).
tcf(c_273713,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(X2))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_208873,c_207904]) ).
tcf(c_273737,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(s(X1)))
| leq(nbr_proc,s(s(s(s(s(host(X0))))))) ),
inference(superposition,[status(thm)],[c_208026,c_207904]) ).
tcf(c_273740,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X1)))
| ~ leq(s(s(s(s(s(host(X0)))))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_207904]) ).
tcf(c_273771,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(X0)))
| leq(X0,s(s(s(s(s(s(host(X1)))))))) ),
inference(superposition,[status(thm)],[c_206515,c_207904]) ).
tcf(c_273772,plain,
! [X0: $i] : leq(zero,s(s(s(s(s(s(s(s(s(s(s(host(X0))))))))))))),
inference(superposition,[status(thm)],[c_206387,c_207904]) ).
tcf(c_273774,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(s(X0))))
| leq(X0,s(s(s(s(s(host(X1))))))) ),
inference(superposition,[status(thm)],[c_206667,c_207904]) ).
tcf(c_273789,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(s(s(s(X0)))))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_208838,c_207904]) ).
tcf(c_273792,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(nbr_proc,s(s(s(s(s(host(X0)))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_207904]) ).
tcf(c_273799,plain,
! [X0: $i] :
( leq(zero,X0)
| ( host(sK2) = nbr_proc )
| ~ leq(s(s(s(s(host(sK2))))),X0) ),
inference(superposition,[status(thm)],[c_204701,c_207904]) ).
tcf(c_273907,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X0)
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_223259,c_207935]) ).
tcf(c_273908,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X0)
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208882,c_207935]) ).
tcf(c_273918,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X0)
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_227724,c_207935]) ).
tcf(c_273920,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),X0)
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208833,c_207935]) ).
tcf(c_273923,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),s(X1))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208820,c_207935]) ).
tcf(c_273924,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(X0))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_230099,c_207935]) ).
tcf(c_273926,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),s(X0))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208856,c_207935]) ).
tcf(c_273927,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(X0))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208028,c_207935]) ).
tcf(c_273930,plain,
! [X0: $i] :
( leq(host(sK8),s(X0))
| ~ leq(s(s(s(s(nbr_proc)))),X0) ),
inference(superposition,[status(thm)],[c_113,c_207935]) ).
tcf(c_273934,plain,
( leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( s(s(s(s(s(nbr_proc))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_207935]) ).
tcf(c_273935,plain,
( leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| ( s(s(s(s(nbr_proc)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_207935]) ).
tcf(c_273936,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(host(sK8),host(sK8))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208833,c_207935]) ).
tcf(c_273937,plain,
( leq(host(sK8),host(sK8))
| ( s(s(s(s(nbr_proc)))) = nbr_proc )
| ~ leq(s(s(s(s(nbr_proc)))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_207935]) ).
tcf(c_273946,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(X0))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208820,c_207935]) ).
tcf(c_273948,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),host(sK8))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_211595,c_207935]) ).
tcf(c_273949,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),host(sK8))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208856,c_207935]) ).
tcf(c_273954,plain,
( leq(host(sK8),nbr_proc)
| ( s(s(s(nbr_proc))) = nbr_proc )
| ~ leq(s(s(s(nbr_proc))),nbr_proc) ),
inference(superposition,[status(thm)],[c_204676,c_207935]) ).
tcf(c_273955,plain,
( leq(host(sK8),nbr_proc)
| leq(nbr_proc,s(s(s(nbr_proc))))
| ( s(s(s(nbr_proc))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238534,c_207935]) ).
tcf(c_273963,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),host(X1))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208873,c_207935]) ).
tcf(c_273980,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208884,c_207935]) ).
tcf(c_273981,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_227724,c_207935]) ).
tcf(c_273987,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(X0)))
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_208026,c_207935]) ).
tcf(c_273989,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(X0)))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208024,c_207935]) ).
tcf(c_273990,plain,
! [X0: $i] :
( leq(host(sK8),s(s(X0)))
| ~ leq(s(s(s(s(s(nbr_proc))))),X0) ),
inference(superposition,[status(thm)],[c_207157,c_207935]) ).
tcf(c_274004,plain,
( leq(host(sK8),s(s(nbr_proc)))
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_206984,c_207935]) ).
tcf(c_274015,plain,
( leq(host(sK8),s(s(s(s(nbr_proc)))))
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_207935]) ).
tcf(c_274016,plain,
( leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_207935]) ).
tcf(c_274017,plain,
( leq(nbr_proc,s(s(s(s(nbr_proc)))))
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204785,c_207935]) ).
tcf(c_274020,plain,
( leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_207935]) ).
tcf(c_274028,plain,
( leq(host(sK8),s(s(s(nbr_proc))))
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208858,c_207935]) ).
tcf(c_274036,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_230099,c_207935]) ).
tcf(c_274037,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_208882,c_207935]) ).
tcf(c_274039,plain,
! [X0: $i] :
( leq(X0,s(s(s(s(nbr_proc)))))
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208838,c_207935]) ).
tcf(c_274042,plain,
( leq(host(sK8),host(sK2))
| leq(nbr_proc,s(s(s(s(s(nbr_proc))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_207935]) ).
tcf(c_274093,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),host(X1))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_216078,c_206179]) ).
tcf(c_274102,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| ( s(s(s(X0))) = s(zero) )
| ~ leq(s(s(s(X0))),s(zero)) ),
inference(superposition,[status(thm)],[c_216078,c_109]) ).
tcf(c_274103,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),X1)
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_216078,c_106]) ).
tcf(c_274113,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(s(s(X1))))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_216078,c_202048]) ).
tcf(c_274142,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ iPr_def_11
| ~ leq(s(s(s(sK10(sK6,sK8)))),X0) ),
inference(superposition,[status(thm)],[c_217877,c_106]) ).
tcf(c_274162,plain,
! [X0: $i] :
( leq(zero,X0)
| ~ iPr_def_11
| ~ leq(s(s(s(sK10(sK7,sK8)))),X0) ),
inference(superposition,[status(thm)],[c_218010,c_106]) ).
tcf(c_274184,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| ( X0 = zero )
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_218750,c_109]) ).
tcf(c_274185,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X0,X2)
| leq(s(X2),nbr_proc)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_218750,c_106]) ).
tcf(c_274195,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,host(sK8))
| leq(nbr_proc,s(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_218750,c_203804]) ).
tcf(c_274196,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(zero,host(sK8))
| leq(s(X0),nbr_proc)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_218750,c_204714]) ).
tcf(c_274197,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_218750,c_202428]) ).
tcf(c_274199,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(s(zero),X2)
| leq(s(X2),nbr_proc)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_218750,c_206179]) ).
tcf(c_274200,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(s(X2),nbr_proc)
| leq(host(X1),X2)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_218750,c_203949]) ).
tcf(c_274201,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),X1)
| leq(s(X1),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_218750,c_203913]) ).
tcf(c_274202,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_218750,c_211410]) ).
tcf(c_274203,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,nbr_proc)
| leq(s(X1),nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_218750,c_209486]) ).
tcf(c_274204,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(s(X1),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_218750,c_208821]) ).
tcf(c_274208,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X0),nbr_proc)
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_218750,c_109]) ).
tcf(c_274209,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(s(X0),nbr_proc)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_218750,c_106]) ).
tcf(c_274210,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(s(s(X0)),nbr_proc)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_218750,c_114]) ).
tcf(c_274211,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(zero,s(X1))
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_218750,c_115]) ).
tcf(c_274213,plain,
! [X0: $i] :
( leq(zero,host(sK2))
| leq(s(host(X0)),nbr_proc)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_218750,c_203633]) ).
tcf(c_274214,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(s(host(sK8)),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_218750,c_233035]) ).
tcf(c_274215,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(s(host(sK8)),nbr_proc)
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_218750,c_208692]) ).
tcf(c_274217,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(X1),X0)
| leq(s(host(sK8)),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_218750,c_204891]) ).
tcf(c_274222,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_218750,c_201708]) ).
tcf(c_274223,plain,
( leq(zero,s(zero))
| leq(host(sK8),sK10(sK6,sK8))
| leq(s(sK10(sK6,sK8)),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_218750,c_201931]) ).
tcf(c_274224,plain,
( leq(zero,s(zero))
| leq(host(sK8),sK10(sK7,sK8))
| leq(s(sK10(sK7,sK8)),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_218750,c_201932]) ).
tcf(c_274225,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_218750,c_201873]) ).
tcf(c_274229,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(zero,s(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_218750,c_208029]) ).
tcf(c_274230,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_218750,c_207017]) ).
tcf(c_274233,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_218750,c_203800]) ).
tcf(c_274234,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(s(X1),nbr_proc)
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_218750,c_203670]) ).
tcf(c_274235,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(zero,s(X1))
| leq(s(X2),nbr_proc)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_218750,c_202048]) ).
tcf(c_274238,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(s(X1),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_218750,c_203735]) ).
tcf(c_274240,plain,
( leq(zero,host(sK2))
| leq(s(host(sK8)),nbr_proc)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_218750,c_202410]) ).
tcf(c_274245,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(zero,s(X2))
| leq(zero,host(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_218750,c_207303]) ).
tcf(c_274246,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(zero,host(X2))
| leq(s(X1),nbr_proc)
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_218750,c_206323]) ).
tcf(c_274247,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X0)
| leq(zero,host(X2))
| leq(s(zero),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_218750,c_206193]) ).
tcf(c_274248,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(zero,host(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_218750,c_204463]) ).
tcf(c_274249,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(X1))
| leq(s(X0),nbr_proc)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218750,c_207779]) ).
tcf(c_274250,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(X1))
| leq(s(X0),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_218750,c_204994]) ).
tcf(c_274251,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X0))
| leq(zero,host(X1))
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_218750,c_204431]) ).
tcf(c_274254,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(s(X1),nbr_proc)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218750,c_206503]) ).
tcf(c_274255,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218750,c_206377]) ).
tcf(c_274257,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_218750,c_210335]) ).
tcf(c_274259,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(s(X1),nbr_proc)
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_218750,c_214130]) ).
tcf(c_274265,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_218750,c_202065]) ).
tcf(c_274275,plain,
! [X0: $i] :
( leq(s(nbr_proc),nbr_proc)
| leq(zero,s(X0))
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_218750,c_202430]) ).
tcf(c_274320,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(zero,s(host(X1)))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_218750,c_213503]) ).
tcf(c_274330,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_218750,c_204511]) ).
tcf(c_274335,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(zero,s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_218750,c_204971]) ).
tcf(c_274347,plain,
! [X0: $i] :
( leq(zero,host(sK7))
| leq(s(host(X0)),nbr_proc)
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_218750,c_206837]) ).
tcf(c_274353,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X0)
| leq(host(X1),nbr_proc)
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_218750,c_203949]) ).
tcf(c_274373,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,X1)
| leq(X1,X0)
| leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_218750,c_203800]) ).
tcf(c_274374,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,X0)
| leq(X1,X2)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_218750,c_203670]) ).
tcf(c_274388,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_218750,c_208639]) ).
tcf(c_274505,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,X1)
| leq(X1,X0)
| ~ leq(nbr_proc,X0) ),
inference(light_normalisation,[status(thm)],[c_274214,c_202443]) ).
tcf(c_274534,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,X1)
| leq(s(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(light_normalisation,[status(thm)],[c_274217,c_202443]) ).
tcf(c_274539,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(zero,X0)
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(light_normalisation,[status(thm)],[c_274215,c_202443]) ).
tcf(c_274640,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),nbr_proc)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_202443,c_214283]) ).
tcf(c_274642,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(nbr_proc,host(sK8))
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_214283,c_204714]) ).
tcf(c_274645,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,host(X2))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_214283,c_206179]) ).
tcf(c_274654,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| ( s(s(s(X0))) = X1 )
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_214283,c_109]) ).
tcf(c_274655,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X2)
| leq(X0,nbr_proc)
| leq(X2,X1)
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_214283,c_106]) ).
tcf(c_274663,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,host(X2))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_214283,c_207298]) ).
tcf(c_274665,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_214283,c_207017]) ).
tcf(c_274666,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X2))
| leq(X2,s(X0))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_214283,c_206655]) ).
tcf(c_274667,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(zero,s(s(s(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_214283,c_204411]) ).
tcf(c_274669,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(nbr_proc,s(X2))
| leq(s(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_214283,c_203670]) ).
tcf(c_274670,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X0,s(s(s(X2))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_214283,c_202048]) ).
tcf(c_274679,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,host(X2))
| leq(zero,s(X0))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_214283,c_207303]) ).
tcf(c_274680,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,host(X2))
| leq(s(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_214283,c_206323]) ).
tcf(c_274681,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,host(X2))
| leq(s(zero),X0)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_214283,c_206193]) ).
tcf(c_274688,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(nbr_proc,s(s(X2)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_214283,c_206503]) ).
tcf(c_274693,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(X1))))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_214283,c_214130]) ).
tcf(c_274703,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,nbr_proc)
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_214283,c_202431]) ).
tcf(c_274704,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(zero,s(X0))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_214283,c_207022]) ).
tcf(c_274711,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_214283,c_206924]) ).
tcf(c_274712,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_214283,c_224023]) ).
tcf(c_274722,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_214283,c_207935]) ).
tcf(c_274724,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(s(nbr_proc)))))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_214283,c_202070]) ).
tcf(c_274726,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,host(sK2))
| leq(host(sK8),s(s(s(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_214283,c_202057]) ).
tcf(c_274735,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(s(s(X1))))
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_214283,c_204511]) ).
tcf(c_274740,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(s(s(X1))))
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_214283,c_207904]) ).
tcf(c_274845,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_215225,c_203804]) ).
tcf(c_274846,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(host(sK8),X1)
| leq(X1,s(host(sK8)))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_215225,c_204714]) ).
tcf(c_274847,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_215225,c_202428]) ).
tcf(c_274850,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(sK8),X2)
| leq(X2,s(X0))
| leq(host(X1),s(nbr_proc))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215225,c_203949]) ).
tcf(c_274854,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(sK8),X1)
| leq(X1,s(X2))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_215225,c_208821]) ).
tcf(c_274858,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(X0))
| ( s(nbr_proc) = X0 )
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_215225,c_109]) ).
tcf(c_274859,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(sK8),X1)
| leq(X1,s(X2))
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_215225,c_106]) ).
tcf(c_274860,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X1)
| leq(X1,s(X0))
| ( s(nbr_proc) = X0 ) ),
inference(superposition,[status(thm)],[c_215225,c_114]) ).
tcf(c_274870,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X1,s(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_215225,c_206655]) ).
tcf(c_274873,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(host(sK8),X0)
| leq(s(X2),s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_215225,c_203670]) ).
tcf(c_274874,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X2)
| leq(X2,s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_215225,c_202048]) ).
tcf(c_274883,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_215225,c_207303]) ).
tcf(c_274884,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(host(sK8),X0)
| leq(s(X2),s(nbr_proc))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_215225,c_206323]) ).
tcf(c_274885,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(s(zero),X2)
| leq(host(sK8),X0)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_215225,c_206193]) ).
tcf(c_274886,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_215225,c_204463]) ).
tcf(c_274892,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_215225,c_206503]) ).
tcf(c_274895,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_215225,c_210335]) ).
tcf(c_274897,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_215225,c_214130]) ).
tcf(c_274908,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_215225,c_207022]) ).
tcf(c_274909,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X1)
| leq(host(sK8),X0)
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_215225,c_207567]) ).
tcf(c_274922,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X0)
| leq(host(X1),s(nbr_proc))
| leq(X0,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_215225,c_223145]) ).
tcf(c_274930,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_215225,c_202057]) ).
tcf(c_274939,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X0)
| leq(X0,s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_215225,c_204511]) ).
tcf(c_274947,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,X1)
| leq(X2,s(nbr_proc))
| leq(X0,s(X2))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_215225,c_204714]) ).
tcf(c_274955,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X2)
| leq(X2,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_215225,c_208821]) ).
tcf(c_274959,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| ( host(sK8) = X0 )
| ~ leq(X0,host(sK8)) ),
inference(superposition,[status(thm)],[c_215225,c_109]) ).
tcf(c_274960,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(host(sK8),X1)
| leq(X0,s(X2))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_215225,c_106]) ).
tcf(c_274961,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X0)
| leq(s(X0),s(X1))
| ( s(X0) = host(sK8) ) ),
inference(superposition,[status(thm)],[c_215225,c_114]) ).
tcf(c_274962,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X0)
| leq(host(sK8),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215225,c_233035]) ).
tcf(c_274965,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),s(X1))
| leq(s(host(sK8)),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215225,c_204891]) ).
tcf(c_274968,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(sK10(sK6,sK8),s(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_215225,c_201741]) ).
tcf(c_274969,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(sK10(sK7,sK8),s(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_215225,c_201742]) ).
tcf(c_274971,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X2,s(nbr_proc))
| leq(X1,s(X2))
| leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_215225,c_206323]) ).
tcf(c_274972,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(nbr_proc))
| leq(s(zero),X2)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_215225,c_206193]) ).
tcf(c_274984,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(nbr_proc))
| leq(host(sK8),host(sK8))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_215225,c_204714]) ).
tcf(c_274986,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_207594]) ).
tcf(c_274987,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| leq(X1,host(X2))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_206179]) ).
tcf(c_274988,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(host(sK8),X0)
| leq(host(X1),s(X2))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215225,c_203949]) ).
tcf(c_274989,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),X0)
| leq(s(zero),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215225,c_203913]) ).
tcf(c_274990,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_215225,c_211410]) ).
tcf(c_274991,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(host(sK8),X2)
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_215225,c_209486]) ).
tcf(c_274992,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(nbr_proc))
| leq(host(sK8),X2)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_215225,c_208821]) ).
tcf(c_274993,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_205100]) ).
tcf(c_274996,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| ( s(X0) = X1 )
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_215225,c_109]) ).
tcf(c_274997,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,s(nbr_proc))
| leq(host(sK8),X2)
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_215225,c_106]) ).
tcf(c_274998,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_215225,c_114]) ).
tcf(c_275005,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(nbr_proc))
| leq(X0,host(X1))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_207298]) ).
tcf(c_275006,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(X1)))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_208029]) ).
tcf(c_275007,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_207017]) ).
tcf(c_275008,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(X1,s(X2))
| leq(X0,s(X1))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_206655]) ).
tcf(c_275009,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(X0))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215225,c_204411]) ).
tcf(c_275010,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(X0,host(sK8))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_203800]) ).
tcf(c_275011,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(X2))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_215225,c_203670]) ).
tcf(c_275012,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(X0,s(X2))
| leq(host(sK8),s(X1))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_215225,c_202048]) ).
tcf(c_275013,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_204027]) ).
tcf(c_275014,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X2,s(nbr_proc))
| leq(X1,s(X2))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_204001]) ).
tcf(c_275015,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_215225,c_203735]) ).
tcf(c_275019,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| leq(X1,s(nbr_proc))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_215225,c_203574]) ).
tcf(c_275021,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X1))
| leq(X2,s(nbr_proc))
| leq(X1,s(X2))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_207303]) ).
tcf(c_275022,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(host(sK8),host(X2))
| leq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_215225,c_206323]) ).
tcf(c_275023,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(s(zero),X1)
| leq(X1,s(X2))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_206193]) ).
tcf(c_275024,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,s(nbr_proc))
| leq(X1,s(X2))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_204463]) ).
tcf(c_275030,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X2,s(nbr_proc))
| leq(X1,s(X2))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_215225,c_206503]) ).
tcf(c_275033,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(s(X1)))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_215225,c_210335]) ).
tcf(c_275035,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_215225,c_214130]) ).
tcf(c_275041,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_215225,c_202065]) ).
tcf(c_275052,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),s(nbr_proc))
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_215225,c_223710]) ).
tcf(c_275054,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(nbr_proc))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_205039]) ).
tcf(c_275055,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(nbr_proc))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_215225,c_203974]) ).
tcf(c_275058,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(nbr_proc)))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_215225,c_224023]) ).
tcf(c_275059,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(s(nbr_proc)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_215225,c_213643]) ).
tcf(c_275069,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(X0))
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_215225,c_207935]) ).
tcf(c_275070,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0)))
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_215225,c_204789]) ).
tcf(c_275073,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),host(sK2))
| leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_215225,c_202057]) ).
tcf(c_275075,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),s(s(X1)))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_215225,c_213503]) ).
tcf(c_275079,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(zero,s(s(X1)))
| leq(host(sK8),s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_215225,c_212912]) ).
tcf(c_275080,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),s(X1))
| leq(host(sK8),s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_215225,c_206597]) ).
tcf(c_275082,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_215225,c_202069]) ).
tcf(c_275083,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(host(sK8),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_215225,c_204511]) ).
tcf(c_275089,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_215225,c_207904]) ).
tcf(c_275093,plain,
( leq(host(sK8),s(nbr_proc))
| leq(s(nbr_proc),s(host(sK8))) ),
inference(equality_factoring,[status(thm)],[c_215225]) ).
tcf(c_275330,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(host(sK8),X1)
| ~ leq(s(s(nbr_proc)),X0) ),
inference(light_normalisation,[status(thm)],[c_274846,c_202443]) ).
tcf(c_275456,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),s(X1))
| leq(sK10(sK6,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_274968,c_206179]) ).
tcf(c_275459,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(zero,s(s(X0)))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_274968,c_211410]) ).
tcf(c_275460,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(host(X0),s(X1))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_274968,c_209486]) ).
tcf(c_275461,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(sK10(sK6,sK8),X0)
| leq(X0,s(s(X1)))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_274968,c_208821]) ).
tcf(c_275462,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(sK10(sK6,sK8),nbr_proc)
| leq(s(zero),s(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_274968,c_205100]) ).
tcf(c_275464,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(sK10(sK6,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_274968,c_202047]) ).
tcf(c_275465,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_12
| ~ leq(s(X0),sK10(sK6,sK8)) ),
inference(superposition,[status(thm)],[c_274968,c_109]) ).
tcf(c_275466,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(sK10(sK6,sK8),X1)
| ~ iPr_def_12
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_274968,c_106]) ).
tcf(c_275467,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(sK10(sK6,sK8),X0)
| ( sK10(sK6,sK8) = s(X0) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_274968,c_114]) ).
tcf(c_275541,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),s(X1))
| leq(sK10(sK7,sK8),host(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_274969,c_206179]) ).
tcf(c_275544,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(zero,s(s(X0)))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_274969,c_211410]) ).
tcf(c_275545,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(host(X0),s(X1))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_274969,c_209486]) ).
tcf(c_275546,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(sK10(sK7,sK8),X0)
| leq(X0,s(s(X1)))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_274969,c_208821]) ).
tcf(c_275547,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(sK10(sK7,sK8),nbr_proc)
| leq(s(zero),s(X0))
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_274969,c_205100]) ).
tcf(c_275549,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(X0,s(X1))
| leq(sK10(sK7,sK8),X0)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_274969,c_202047]) ).
tcf(c_275550,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_12
| ~ leq(s(X0),sK10(sK7,sK8)) ),
inference(superposition,[status(thm)],[c_274969,c_109]) ).
tcf(c_275551,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(sK10(sK7,sK8),X1)
| ~ iPr_def_12
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_274969,c_106]) ).
tcf(c_275552,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(sK10(sK7,sK8),X0)
| ( sK10(sK7,sK8) = s(X0) )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_274969,c_114]) ).
tcf(c_275604,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215314,c_203949]) ).
tcf(c_275605,plain,
! [X0: $i] :
( leq(s(zero),s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215314,c_203913]) ).
tcf(c_275608,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X1,s(s(s(s(s(s(X0)))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215314,c_208821]) ).
tcf(c_275612,plain,
! [X0: $i] :
( ( s(s(s(s(s(X0))))) = nbr_proc )
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(s(s(X0))))),nbr_proc) ),
inference(superposition,[status(thm)],[c_215314,c_109]) ).
tcf(c_275613,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| ~ leq(nbr_proc,X0)
| ~ leq(s(s(s(s(s(X0))))),X1) ),
inference(superposition,[status(thm)],[c_215314,c_106]) ).
tcf(c_275614,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(s(X0)))))
| ( s(s(s(s(s(X0))))) = nbr_proc )
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215314,c_114]) ).
tcf(c_275615,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(X1,s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215314,c_234688]) ).
tcf(c_275616,plain,
! [X0: $i,X1: $i] :
( leq(host(sK8),X1)
| leq(X1,s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215314,c_218832]) ).
tcf(c_275617,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_215314,c_203574]) ).
tcf(c_275677,plain,
! [X0: $i] :
( leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8))
| leq(host(sK8),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_216071,c_207594]) ).
tcf(c_275679,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),s(s(s(s(s(X1))))))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_216071,c_203949]) ).
tcf(c_275680,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),s(s(s(s(s(X0))))))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_216071,c_203913]) ).
tcf(c_275682,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X1,host(sK8))
| leq(host(X0),s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_216071,c_209486]) ).
tcf(c_275684,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK8))
| leq(s(zero),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_216071,c_205100]) ).
tcf(c_275691,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(sK8),X0)
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_216071,c_218832]) ).
tcf(c_275701,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),s(s(s(s(s(X0)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275680,c_111]) ).
tcf(c_275704,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),s(s(s(s(s(X1)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275679,c_111]) ).
tcf(c_275713,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(nbr_proc))
| ~ leq(s(s(s(s(s(X0))))),X1) ),
inference(superposition,[status(thm)],[c_216088,c_204714]) ).
tcf(c_275715,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(nbr_proc))
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_216088,c_207594]) ).
tcf(c_275716,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),host(X1))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_216088,c_206179]) ).
tcf(c_275725,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| ( s(s(s(s(X0)))) = host(sK8) )
| ~ leq(s(s(s(s(X0)))),host(sK8)) ),
inference(superposition,[status(thm)],[c_216088,c_109]) ).
tcf(c_275726,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| ~ leq(s(s(s(s(X0)))),X1) ),
inference(superposition,[status(thm)],[c_216088,c_106]) ).
tcf(c_275729,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(s(X0),s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_216088,c_206323]) ).
tcf(c_275730,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X0)
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_216088,c_206193]) ).
tcf(c_275755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i,X40: $i] : cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39),X40)) = snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39),X40),
inference(superposition,[status(thm)],[c_272963,c_135]) ).
tcf(c_275756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i] : snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39) != q_nil,
inference(superposition,[status(thm)],[c_272963,c_137]) ).
tcf(c_275757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i] : elem(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39)),
inference(superposition,[status(thm)],[c_272963,c_101]) ).
tcf(c_275758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i,X40: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39),X40))
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39),X40)) ),
inference(superposition,[status(thm)],[c_272963,c_102]) ).
tcf(c_275759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i,X40: $i] :
( elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39),X40))
| ( m_Ack(sK2,sK3) = X0 )
| ~ elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39),X40)) ),
inference(superposition,[status(thm)],[c_272963,c_103]) ).
tcf(c_275760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i] : elem(X0,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39),X0)),
inference(superposition,[status(thm)],[c_272963,c_203176]) ).
tcf(c_275761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),m_Ldr(X39)))
| ~ ordered(cons(m_Ack(sK2,sK3),snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(sK0,X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38))) ),
inference(superposition,[status(thm)],[c_272963,c_203178]) ).
tcf(c_275762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i,X40: $i] : elem(X0,cons(X1,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39),X40),X0))),
inference(superposition,[status(thm)],[c_272963,c_203596]) ).
tcf(c_275763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i,X40: $i,X41: $i] : elem(X0,cons(X1,cons(X2,snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),X39),X40),X41),X0)))),
inference(superposition,[status(thm)],[c_272963,c_207142]) ).
tcf(c_275766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i] :
( ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38),m_Ldr(X39)))
| ~ ordered(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(snoc(queue(host(sK2)),X0),X1),X2),X3),X4),X5),X6),X7),X8),X9),X10),X11),X12),X13),X14),X15),X16),X17),X18),X19),X20),X21),X22),X23),X24),X25),X26),X27),X28),X29),X30),X31),X32),X33),X34),X35),X36),X37),X38)) ),
inference(light_normalisation,[status(thm)],[c_275761,c_259866]) ).
tcf(c_275798,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(nbr_proc,s(s(s(s(s(host(X0))))))) ),
inference(superposition,[status(thm)],[c_223259,c_207947]) ).
tcf(c_275799,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| leq(host(sK8),s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_208882,c_207947]) ).
tcf(c_275803,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(s(zero),X2)
| leq(host(X0),s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_209484,c_207947]) ).
tcf(c_275804,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),X2)
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_208820,c_207947]) ).
tcf(c_275809,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_227726,c_207947]) ).
tcf(c_275810,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_227724,c_207947]) ).
tcf(c_275811,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_209669,c_207947]) ).
tcf(c_275812,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),X1)
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_208833,c_207947]) ).
tcf(c_275814,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),s(X1))
| leq(host(sK8),s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_215225,c_207947]) ).
tcf(c_275816,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),s(X2))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208820,c_207947]) ).
tcf(c_275817,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),s(X1))
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_230099,c_207947]) ).
tcf(c_275819,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),s(X1))
| leq(nbr_proc,s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_208856,c_207947]) ).
tcf(c_275820,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(X1))
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_208028,c_207947]) ).
tcf(c_275823,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X1))
| ~ leq(s(s(s(host(X0)))),X1) ),
inference(superposition,[status(thm)],[c_113,c_207947]) ).
tcf(c_275827,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(s(host(X0)))))
| ( s(s(s(s(host(X0))))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_207947]) ).
tcf(c_275828,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(s(host(X0)))))
| ( s(s(s(host(X0)))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_207947]) ).
tcf(c_275829,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(s(zero),host(sK8))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208833,c_207947]) ).
tcf(c_275830,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| ( s(s(s(host(X0)))) = nbr_proc )
| ~ leq(s(s(s(host(X0)))),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_207947]) ).
tcf(c_275831,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_203667,c_207947]) ).
tcf(c_275836,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(s(host(X0))))
| ( s(s(s(host(X0)))) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_207947]) ).
tcf(c_275839,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X2)
| leq(X2,s(X0))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208820,c_207947]) ).
tcf(c_275841,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_211595,c_207947]) ).
tcf(c_275842,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(s(zero),host(sK8))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_208856,c_207947]) ).
tcf(c_275843,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(sK8),s(s(host(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_207947]) ).
tcf(c_275844,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(zero,s(s(host(X1))))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_207947]) ).
tcf(c_275845,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_204008,c_207947]) ).
tcf(c_275857,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(s(zero),host(X2))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_208873,c_207947]) ).
tcf(c_275881,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(s(X1)))
| leq(nbr_proc,s(s(s(s(host(X0)))))) ),
inference(superposition,[status(thm)],[c_208026,c_207947]) ).
tcf(c_275884,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(X1)))
| ~ leq(s(s(s(s(host(X0))))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_207947]) ).
tcf(c_275915,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(X0)))
| leq(X0,s(s(s(s(s(host(X1))))))) ),
inference(superposition,[status(thm)],[c_206515,c_207947]) ).
tcf(c_275916,plain,
! [X0: $i] : leq(s(zero),s(s(s(s(s(s(s(s(s(s(host(X0)))))))))))),
inference(superposition,[status(thm)],[c_206387,c_207947]) ).
tcf(c_275918,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(host(X1)))))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_214283,c_207947]) ).
tcf(c_275919,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(s(s(X0))))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_206667,c_207947]) ).
tcf(c_275935,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(s(host(X1)))))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208838,c_207947]) ).
tcf(c_275938,plain,
! [X0: $i] :
( leq(s(zero),host(sK2))
| leq(nbr_proc,s(s(s(s(host(X0))))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_207947]) ).
tcf(c_275945,plain,
! [X0: $i] :
( leq(s(zero),X0)
| ( host(sK2) = nbr_proc )
| ~ leq(s(s(s(host(sK2)))),X0) ),
inference(superposition,[status(thm)],[c_204701,c_207947]) ).
tcf(c_276077,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X0))
| leq(s(zero),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_211409,c_208469]) ).
tcf(c_276079,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_208469]) ).
tcf(c_276084,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(s(zero),X2)
| leq(s(X1),nbr_proc)
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_208469]) ).
tcf(c_276085,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(s(zero),X2)
| leq(s(X1),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_208469]) ).
tcf(c_276088,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(zero),X0)
| leq(s(X1),nbr_proc)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_218750,c_208469]) ).
tcf(c_276089,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_208884,c_208469]) ).
tcf(c_276090,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X1))
| leq(s(zero),X0)
| leq(s(X1),nbr_proc)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_227726,c_208469]) ).
tcf(c_276091,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_227724,c_208469]) ).
tcf(c_276092,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(sK8),X1)
| leq(s(X1),nbr_proc)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_209669,c_208469]) ).
tcf(c_276093,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(X0))
| leq(X1,host(sK8))
| leq(s(zero),X1)
| leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_208833,c_208469]) ).
tcf(c_276095,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| leq(s(X1),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_208469]) ).
tcf(c_276096,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(s(X1),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208864,c_208469]) ).
tcf(c_276097,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(s(X1),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208820,c_208469]) ).
tcf(c_276098,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,s(nbr_proc))
| leq(s(X1),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_230099,c_208469]) ).
tcf(c_276099,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,host(sK8))
| leq(s(X1),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_211595,c_208469]) ).
tcf(c_276100,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,host(sK8))
| leq(s(X1),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208856,c_208469]) ).
tcf(c_276101,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(s(X1),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208028,c_208469]) ).
tcf(c_276105,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),s(X1))
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_201841,c_208469]) ).
tcf(c_276106,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X1))
| leq(s(s(X0)),nbr_proc)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_116,c_208469]) ).
tcf(c_276111,plain,
( leq(s(nbr_proc),nbr_proc)
| leq(s(zero),s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_203812,c_208469]) ).
tcf(c_276112,plain,
( leq(s(nbr_proc),nbr_proc)
| leq(s(zero),s(host(sK2)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_203806,c_208469]) ).
tcf(c_276113,plain,
! [X0: $i] :
( leq(nbr_proc,s(host(sK2)))
| leq(s(zero),host(sK8))
| leq(s(host(X0)),nbr_proc)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_227606,c_208469]) ).
tcf(c_276114,plain,
! [X0: $i] :
( leq(s(zero),host(sK2))
| leq(s(host(X0)),nbr_proc)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_203644,c_208469]) ).
tcf(c_276115,plain,
( leq(s(zero),host(sK2))
| leq(s(host(sK8)),nbr_proc)
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_201621,c_208469]) ).
tcf(c_276116,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(X0),nbr_proc)
| leq(s(zero),host(sK8))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_208469]) ).
tcf(c_276117,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(s(X0),nbr_proc)
| leq(s(zero),host(sK8))
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_208469]) ).
tcf(c_276119,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),host(sK8))
| ( X0 = nbr_proc )
| ~ leq(X0,nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_208469]) ).
tcf(c_276120,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(X0),nbr_proc)
| leq(s(zero),host(sK8)) ),
inference(superposition,[status(thm)],[c_203667,c_208469]) ).
tcf(c_276122,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_201706,c_208469]) ).
tcf(c_276125,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_201871,c_208469]) ).
tcf(c_276126,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(host(sK8)),nbr_proc)
| leq(sK10(sK6,sK8),X0)
| leq(s(zero),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_208469]) ).
tcf(c_276128,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(host(sK8)),nbr_proc)
| leq(sK10(sK7,sK8),X0)
| leq(s(zero),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_208469]) ).
tcf(c_276132,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_208854,c_208469]) ).
tcf(c_276133,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),X1)
| leq(s(s(X0)),nbr_proc)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_208469]) ).
tcf(c_276134,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(host(sK8),X0)
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_208855,c_208469]) ).
tcf(c_276140,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(s(zero),X1)
| leq(s(host(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_209484,c_208469]) ).
tcf(c_276141,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),X1)
| leq(s(host(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_222343,c_208469]) ).
tcf(c_276142,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),X1)
| leq(s(host(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_208826,c_208469]) ).
tcf(c_276143,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X1)
| leq(X1,s(s(nbr_proc)))
| leq(s(host(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_223102,c_208469]) ).
tcf(c_276144,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(s(host(X1)),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202052,c_208469]) ).
tcf(c_276150,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(zero),X0)
| leq(s(sK10(sK6,sK8)),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_211068,c_208469]) ).
tcf(c_276151,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(zero),X0)
| leq(host(sK8),sK10(sK6,sK8))
| leq(s(sK10(sK6,sK8)),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209674,c_208469]) ).
tcf(c_276157,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(zero),X0)
| leq(s(sK10(sK7,sK8)),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_212523,c_208469]) ).
tcf(c_276158,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(zero),X0)
| leq(host(sK8),sK10(sK7,sK8))
| leq(s(sK10(sK7,sK8)),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_209675,c_208469]) ).
tcf(c_276159,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(s(zero),host(sK8)) ),
inference(superposition,[status(thm)],[c_211595,c_208469]) ).
tcf(c_276160,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(s(zero),host(sK8)) ),
inference(superposition,[status(thm)],[c_208856,c_208469]) ).
tcf(c_276161,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),X0)
| leq(host(sK8),X1)
| leq(s(s(X1)),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_208469]) ).
tcf(c_276162,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(s(zero),X0)
| leq(s(s(X1)),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_208469]) ).
tcf(c_276165,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_204008,c_208469]) ).
tcf(c_276170,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_203745,c_208469]) ).
tcf(c_276171,plain,
( leq(s(zero),s(zero))
| leq(host(sK8),sK10(sK6,sK8))
| leq(s(sK10(sK6,sK8)),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_201949,c_208469]) ).
tcf(c_276172,plain,
( leq(s(zero),s(zero))
| leq(host(sK8),sK10(sK7,sK8))
| leq(s(sK10(sK7,sK8)),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_201968,c_208469]) ).
tcf(c_276183,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(nbr_proc),nbr_proc)
| leq(X0,s(X1))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208028,c_208469]) ).
tcf(c_276184,plain,
! [X0: $i] :
( leq(s(nbr_proc),nbr_proc)
| leq(X0,host(sK8))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_203667,c_208469]) ).
tcf(c_276208,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(nbr_proc),nbr_proc)
| leq(s(X1),nbr_proc)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_227726,c_208469]) ).
tcf(c_276209,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(nbr_proc),nbr_proc)
| leq(X1,s(nbr_proc))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_227724,c_208469]) ).
tcf(c_276210,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(nbr_proc),nbr_proc)
| leq(X1,host(sK8))
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208833,c_208469]) ).
tcf(c_276211,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(s(nbr_proc),nbr_proc)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_208469]) ).
tcf(c_276215,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),host(X1))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_207319,c_208469]) ).
tcf(c_276216,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),host(X1))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_232931,c_208469]) ).
tcf(c_276217,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),host(X1))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206391,c_208469]) ).
tcf(c_276229,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(s(s(s(zero))),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204158,c_208469]) ).
tcf(c_276259,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_204514,c_208469]) ).
tcf(c_276271,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(s(X1),nbr_proc)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208026,c_208469]) ).
tcf(c_276273,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(s(X1),nbr_proc)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208024,c_208469]) ).
tcf(c_276274,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),s(s(X1)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_207157,c_208469]) ).
tcf(c_276275,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206376,c_208469]) ).
tcf(c_276276,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_207159,c_208469]) ).
tcf(c_276279,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),s(host(X1)))
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233014,c_208469]) ).
tcf(c_276307,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(s(s(sK10(sK6,sK8))),nbr_proc)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204910,c_208469]) ).
tcf(c_276308,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(s(s(sK10(sK7,sK8))),nbr_proc)
| ~ iPr_def_12
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204911,c_208469]) ).
tcf(c_276312,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(X0,s(s(X1)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206515,c_208469]) ).
tcf(c_276317,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(s(zero),s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_206387,c_208469]) ).
tcf(c_276325,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(s(zero),host(X1))
| leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_206181,c_208469]) ).
tcf(c_276330,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(s(host(X1)),nbr_proc)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_223741,c_208469]) ).
tcf(c_276331,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),s(X0))
| leq(s(host(X1)),nbr_proc)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_223743,c_208469]) ).
tcf(c_276332,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK2))
| leq(s(zero),s(X1))
| leq(s(host(X0)),nbr_proc)
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_248646,c_208469]) ).
tcf(c_276333,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),s(X1))
| leq(s(host(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_245063,c_208469]) ).
tcf(c_276334,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),s(X1))
| leq(s(host(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_222883,c_208469]) ).
tcf(c_276335,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(X1))
| leq(s(host(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_222874,c_208469]) ).
tcf(c_276336,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(s(X1),nbr_proc)
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_214283,c_208469]) ).
tcf(c_276337,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),nbr_proc)
| leq(X0,s(X1))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206667,c_208469]) ).
tcf(c_276338,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208835,c_208469]) ).
tcf(c_276345,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(host(sK8)),nbr_proc)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206992,c_208469]) ).
tcf(c_276366,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208838,c_208469]) ).
tcf(c_276369,plain,
! [X0: $i] :
( leq(nbr_proc,s(X0))
| leq(s(X0),nbr_proc)
| leq(s(zero),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_208469]) ).
tcf(c_276376,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(host(sK8)),nbr_proc)
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_210354,c_208469]) ).
tcf(c_276377,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(host(sK8)),nbr_proc)
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_216080,c_208469]) ).
tcf(c_276382,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(nbr_proc),nbr_proc)
| leq(s(zero),s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_208034,c_208469]) ).
tcf(c_276383,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(nbr_proc),nbr_proc)
| leq(s(zero),s(s(s(s(s(s(X0))))))) ),
inference(superposition,[status(thm)],[c_208035,c_208469]) ).
tcf(c_276386,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(host(sK8)),nbr_proc)
| leq(s(zero),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_216088,c_208469]) ).
tcf(c_276387,plain,
( leq(s(host(sK8)),nbr_proc)
| leq(s(zero),s(host(sK2)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_205154,c_208469]) ).
tcf(c_276392,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(s(host(X1)),nbr_proc)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_225028,c_208469]) ).
tcf(c_276396,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(s(X1)),nbr_proc)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_239342,c_208469]) ).
tcf(c_276402,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(zero),s(X0))
| leq(host(sK8),sK10(sK6,sK8))
| leq(s(sK10(sK6,sK8)),nbr_proc)
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_248656,c_208469]) ).
tcf(c_276406,plain,
! [X0: $i] :
( leq(X0,s(zero))
| leq(s(zero),s(X0))
| leq(host(sK8),sK10(sK7,sK8))
| leq(s(sK10(sK7,sK8)),nbr_proc)
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_248657,c_208469]) ).
tcf(c_276468,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,nbr_proc)
| leq(s(zero),s(s(s(X0)))) ),
inference(light_normalisation,[status(thm)],[c_276377,c_202443]) ).
tcf(c_276472,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(s(zero),s(s(X0))) ),
inference(light_normalisation,[status(thm)],[c_276345,c_202443]) ).
tcf(c_276524,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(s(zero),s(s(s(X0)))) ),
inference(light_normalisation,[status(thm)],[c_276376,c_202443]) ).
tcf(c_276542,plain,
( leq(nbr_proc,nbr_proc)
| leq(s(zero),host(sK2))
| ( host(sK2) = host(sK7) ) ),
inference(light_normalisation,[status(thm)],[c_276115,c_202443]) ).
tcf(c_276580,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(s(zero),s(s(s(s(X0))))) ),
inference(light_normalisation,[status(thm)],[c_276386,c_202443]) ).
tcf(c_276638,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,s(zero))
| leq(sK10(sK7,sK8),X0)
| leq(s(zero),sK10(sK7,sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(light_normalisation,[status(thm)],[c_276128,c_202443]) ).
tcf(c_276639,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,s(zero))
| leq(sK10(sK6,sK8),X0)
| leq(s(zero),sK10(sK6,sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(light_normalisation,[status(thm)],[c_276126,c_202443]) ).
tcf(c_276797,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(host(sK8),X1)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_211409,c_208555]) ).
tcf(c_276798,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(host(sK8),X1)
| leq(s(zero),s(X0)) ),
inference(superposition,[status(thm)],[c_208814,c_208555]) ).
tcf(c_276799,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(host(sK8),X1)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_223259,c_208555]) ).
tcf(c_276800,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(host(sK8),X1)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208882,c_208555]) ).
tcf(c_276804,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,nbr_proc)
| leq(host(sK8),X2)
| leq(host(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_209484,c_208555]) ).
tcf(c_276805,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(host(sK8),X2)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_208555]) ).
tcf(c_276809,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(X0,s(nbr_proc))
| leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_208884,c_208555]) ).
tcf(c_276810,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X1)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227726,c_208555]) ).
tcf(c_276811,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(host(sK8),X1)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_227724,c_208555]) ).
tcf(c_276812,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),X1)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_209669,c_208555]) ).
tcf(c_276813,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,host(sK8))
| leq(host(sK8),X1)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208833,c_208555]) ).
tcf(c_276815,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(X1))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_215225,c_208555]) ).
tcf(c_276816,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208864,c_208555]) ).
tcf(c_276817,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X0,X1)
| leq(X1,s(X2))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208820,c_208555]) ).
tcf(c_276818,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X0,s(nbr_proc))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_230099,c_208555]) ).
tcf(c_276819,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(X0,host(sK8))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_211595,c_208555]) ).
tcf(c_276820,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(X0,host(sK8))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208856,c_208555]) ).
tcf(c_276821,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X1)))
| leq(host(sK8),s(X0)) ),
inference(superposition,[status(thm)],[c_208028,c_208555]) ).
tcf(c_276824,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(X1))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_113,c_208555]) ).
tcf(c_276830,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(host(sK8),host(sK8))
| ( s(s(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_208555]) ).
tcf(c_276831,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(host(sK8),host(sK8))
| ( s(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_208555]) ).
tcf(c_276833,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),host(sK8))
| ( s(X0) = nbr_proc )
| ~ leq(s(X0),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_208555]) ).
tcf(c_276834,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_203667,c_208555]) ).
tcf(c_276841,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,X0)
| leq(host(sK8),X1)
| ( s(X0) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_208555]) ).
tcf(c_276843,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(zero,s(X2))
| leq(host(sK8),X0)
| leq(X0,host(X1)) ),
inference(superposition,[status(thm)],[c_208873,c_208555]) ).
tcf(c_276844,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(host(sK8),X0)
| leq(X1,s(X2))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208820,c_208555]) ).
tcf(c_276846,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(host(sK8),host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_211595,c_208555]) ).
tcf(c_276847,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(host(sK8),host(sK8))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208856,c_208555]) ).
tcf(c_276848,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X1)
| leq(host(sK8),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_208555]) ).
tcf(c_276850,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_204008,c_208555]) ).
tcf(c_276854,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| ( X0 = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238534,c_208555]) ).
tcf(c_276856,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),nbr_proc)
| ~ leq(X0,zero) ),
inference(superposition,[status(thm)],[c_233811,c_208555]) ).
tcf(c_276871,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,nbr_proc)
| leq(X1,s(X2))
| leq(host(sK8),host(X0)) ),
inference(superposition,[status(thm)],[c_208873,c_208555]) ).
tcf(c_276872,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),host(X1))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_207319,c_208555]) ).
tcf(c_276873,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),host(X1))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232931,c_208555]) ).
tcf(c_276875,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),host(X1))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206392,c_208555]) ).
tcf(c_276876,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),host(X1))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_204993,c_208555]) ).
tcf(c_276887,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_208555]) ).
tcf(c_276888,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),sK10(sK6,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232939,c_208555]) ).
tcf(c_276895,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| leq(s(zero),s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_208555]) ).
tcf(c_276896,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),sK10(sK7,sK8))
| ~ iPr_def_11
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232940,c_208555]) ).
tcf(c_276905,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(nbr_proc))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_232984,c_208555]) ).
tcf(c_276907,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(nbr_proc))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_204010,c_208555]) ).
tcf(c_276910,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_204514,c_208555]) ).
tcf(c_276911,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X1)))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208026,c_208555]) ).
tcf(c_276913,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208024,c_208555]) ).
tcf(c_276914,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(X1)))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_207157,c_208555]) ).
tcf(c_276915,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(s(X1)))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206376,c_208555]) ).
tcf(c_276918,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(s(s(X1))))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_207313,c_208555]) ).
tcf(c_276919,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(host(X1)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233014,c_208555]) ).
tcf(c_276920,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(s(X1)))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_206665,c_208555]) ).
tcf(c_276922,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(s(X1)))
| leq(host(sK8),s(host(X0))) ),
inference(superposition,[status(thm)],[c_206666,c_208555]) ).
tcf(c_276926,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(nbr_proc)))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_207875,c_208555]) ).
tcf(c_276927,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(nbr_proc)))
| ~ leq(s(X0),zero) ),
inference(superposition,[status(thm)],[c_233020,c_208555]) ).
tcf(c_276928,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(nbr_proc)))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_206984,c_208555]) ).
tcf(c_276929,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(nbr_proc)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206907,c_208555]) ).
tcf(c_276935,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(zero,s(X0))
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_211409,c_208555]) ).
tcf(c_276936,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(s(zero),X0)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208814,c_208555]) ).
tcf(c_276937,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_223259,c_208555]) ).
tcf(c_276938,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_208857,c_208555]) ).
tcf(c_276939,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(X0))
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_213326,c_208555]) ).
tcf(c_276940,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204786,c_208555]) ).
tcf(c_276941,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(X0))
| leq(host(sK8),s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_204785,c_208555]) ).
tcf(c_276944,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(host(sK8),s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_204788,c_208555]) ).
tcf(c_276947,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),s(s(X0)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206515,c_208555]) ).
tcf(c_276952,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(s(s(s(s(s(s(s(X0))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_208555]) ).
tcf(c_276963,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(X1))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_214283,c_208555]) ).
tcf(c_276964,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(s(X1)))
| leq(host(sK8),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206667,c_208555]) ).
tcf(c_276968,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),s(X0))
| leq(host(sK8),s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_208858,c_208555]) ).
tcf(c_276970,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(s(zero),s(X1))
| leq(host(sK8),s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_208897,c_208555]) ).
tcf(c_276971,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(s(X1)))
| leq(host(sK8),s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_207832,c_208555]) ).
tcf(c_276977,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),X0)
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_215225,c_208555]) ).
tcf(c_276978,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(host(sK8),s(nbr_proc))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_230099,c_208555]) ).
tcf(c_276981,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(host(sK8),s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208838,c_208555]) ).
tcf(c_276982,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(X1))
| leq(host(sK8),s(s(s(host(X0))))) ),
inference(superposition,[status(thm)],[c_208880,c_208555]) ).
tcf(c_276983,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(host(sK8),nbr_proc)
| leq(X1,s(X2))
| leq(host(X0),X1) ),
inference(superposition,[status(thm)],[c_209484,c_208555]) ).
tcf(c_276984,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(host(sK8),host(sK2))
| leq(nbr_proc,s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_208555]) ).
tcf(c_276991,plain,
! [X0: $i] :
( leq(host(sK8),nbr_proc)
| leq(host(sK8),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_202443,c_208555]) ).
tcf(c_277269,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_223259,c_208572]) ).
tcf(c_277270,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208882,c_208572]) ).
tcf(c_277275,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X1,nbr_proc)
| leq(X2,X0)
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208820,c_208572]) ).
tcf(c_277278,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(s(X1),nbr_proc)
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218750,c_208572]) ).
tcf(c_277279,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208884,c_208572]) ).
tcf(c_277280,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(s(X1),nbr_proc)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_227726,c_208572]) ).
tcf(c_277281,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_227724,c_208572]) ).
tcf(c_277282,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(s(X1),nbr_proc)
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_209669,c_208572]) ).
tcf(c_277283,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208833,c_208572]) ).
tcf(c_277285,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_215225,c_208572]) ).
tcf(c_277286,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208864,c_208572]) ).
tcf(c_277287,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,nbr_proc)
| leq(X2,X0)
| leq(zero,s(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_208572]) ).
tcf(c_277288,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_230099,c_208572]) ).
tcf(c_277289,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_211595,c_208572]) ).
tcf(c_277290,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208856,c_208572]) ).
tcf(c_277291,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(zero,s(X1))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208028,c_208572]) ).
tcf(c_277294,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(X1))
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_113,c_208572]) ).
tcf(c_277298,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0)))
| ( s(s(s(X0))) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_203801,c_208572]) ).
tcf(c_277299,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0)))
| ( s(s(X0)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_238112,c_208572]) ).
tcf(c_277300,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,host(sK8))
| leq(nbr_proc,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208833,c_208572]) ).
tcf(c_277301,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK8))
| ( s(s(X0)) = nbr_proc )
| ~ leq(s(s(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_203477,c_208572]) ).
tcf(c_277307,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(X1,s(X0))
| ( s(s(X0)) = X1 ) ),
inference(superposition,[status(thm)],[c_203458,c_208572]) ).
tcf(c_277309,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(X1,host(X2))
| leq(zero,s(s(X0))) ),
inference(superposition,[status(thm)],[c_208873,c_208572]) ).
tcf(c_277310,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X1,nbr_proc)
| leq(X2,s(X0))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208820,c_208572]) ).
tcf(c_277312,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(zero,host(sK8))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_211595,c_208572]) ).
tcf(c_277313,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,nbr_proc)
| leq(zero,host(sK8))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_208856,c_208572]) ).
tcf(c_277314,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(host(sK8),s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_203853,c_208572]) ).
tcf(c_277315,plain,
! [X0: $i,X1: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(zero,s(X1))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_204257,c_208572]) ).
tcf(c_277328,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,nbr_proc)
| leq(zero,host(X2))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_208873,c_208572]) ).
tcf(c_277329,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(X1))
| leq(zero,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_207319,c_208572]) ).
tcf(c_277330,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(X1))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_232931,c_208572]) ).
tcf(c_277341,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,sK10(sK6,sK8))
| leq(s(zero),s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204362,c_208572]) ).
tcf(c_277343,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,sK10(sK6,sK8))
| leq(zero,s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208850,c_208572]) ).
tcf(c_277345,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,sK10(sK7,sK8))
| leq(s(zero),s(s(s(X0))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_204617,c_208572]) ).
tcf(c_277347,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,sK10(sK7,sK8))
| leq(zero,s(s(X0)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_208851,c_208572]) ).
tcf(c_277356,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(zero,s(s(X1)))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_208026,c_208572]) ).
tcf(c_277359,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(X1)))
| ~ leq(s(s(s(X0))),X1) ),
inference(superposition,[status(thm)],[c_207157,c_208572]) ).
tcf(c_277363,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(host(X1)))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_207313,c_208572]) ).
tcf(c_277364,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(host(X1)))
| ~ leq(s(s(X0)),zero) ),
inference(superposition,[status(thm)],[c_233014,c_208572]) ).
tcf(c_277365,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(host(X1)))
| leq(s(zero),s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_206665,c_208572]) ).
tcf(c_277390,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(s(X0)))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_206515,c_208572]) ).
tcf(c_277391,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(superposition,[status(thm)],[c_206387,c_208572]) ).
tcf(c_277393,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X1)))
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_214283,c_208572]) ).
tcf(c_277394,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,s(s(s(X0))))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_206667,c_208572]) ).
tcf(c_277400,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(zero,s(s(host(X1))))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_208897,c_208572]) ).
tcf(c_277410,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(s(X1)))
| leq(zero,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_208838,c_208572]) ).
tcf(c_277413,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK2))
| leq(nbr_proc,s(s(s(X0))))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_227736,c_208572]) ).
tcf(c_277419,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(host(sK8),nbr_proc)
| ~ leq(s(nbr_proc),X0) ),
inference(superposition,[status(thm)],[c_202443,c_208572]) ).
tcf(c_277631,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| leq(X0,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_222879,c_208821]) ).
tcf(c_277635,plain,
! [X0: $i] :
( ( s(s(s(s(s(s(nbr_proc)))))) = host(X0) )
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),host(X0)) ),
inference(superposition,[status(thm)],[c_222879,c_109]) ).
tcf(c_277636,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ leq(s(s(s(s(s(s(nbr_proc)))))),X0) ),
inference(superposition,[status(thm)],[c_222879,c_106]) ).
tcf(c_277658,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(host(sK2),s(X0))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_222882]) ).
tcf(c_277663,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(host(X1),s(host(sK8)))
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(superposition,[status(thm)],[c_222882,c_204714]) ).
tcf(c_277668,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),s(X0))
| leq(host(X1),s(s(nbr_proc)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_222882,c_203949]) ).
tcf(c_277676,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),s(X0))
| ( s(s(nbr_proc)) = X0 )
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_222882,c_109]) ).
tcf(c_277677,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(host(X1),s(X2))
| ~ leq(s(s(nbr_proc)),X0) ),
inference(superposition,[status(thm)],[c_222882,c_106]) ).
tcf(c_277685,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(host(sK8),s(s(nbr_proc)))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_222882,c_208555]) ).
tcf(c_277689,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,s(X2))
| leq(X2,s(s(nbr_proc)))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_222882,c_206655]) ).
tcf(c_277692,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(s(X2),s(s(nbr_proc)))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_222882,c_203670]) ).
tcf(c_277693,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(host(X2),s(s(X1)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_222882,c_202048]) ).
tcf(c_277702,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,s(s(nbr_proc)))
| leq(host(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_222882,c_207303]) ).
tcf(c_277703,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(s(X2),s(s(nbr_proc)))
| leq(host(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_222882,c_206323]) ).
tcf(c_277704,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),X2)
| leq(X2,s(s(nbr_proc)))
| leq(host(X0),s(host(X1))) ),
inference(superposition,[status(thm)],[c_222882,c_206193]) ).
tcf(c_277712,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,s(s(nbr_proc)))
| leq(host(X0),s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_222882,c_206503]) ).
tcf(c_277760,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(nbr_proc)))
| leq(host(X0),s(s(s(s(s(s(X1))))))) ),
inference(superposition,[status(thm)],[c_222882,c_204511]) ).
tcf(c_277770,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(nbr_proc)))
| leq(s(zero),s(X1))
| leq(s(host(X0)),nbr_proc) ),
inference(superposition,[status(thm)],[c_222882,c_208469]) ).
tcf(c_277772,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(s(nbr_proc)))
| leq(s(zero),s(X2))
| leq(host(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_222882,c_206179]) ).
tcf(c_277773,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(s(nbr_proc)))
| leq(host(X1),s(X2))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222882,c_203949]) ).
tcf(c_277774,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(s(nbr_proc)))
| leq(s(zero),s(X1))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222882,c_203913]) ).
tcf(c_277777,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),X0)
| leq(X1,s(s(nbr_proc)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_222882,c_208821]) ).
tcf(c_277781,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(s(nbr_proc)))
| ( host(X1) = s(X0) )
| ~ leq(s(X0),host(X1)) ),
inference(superposition,[status(thm)],[c_222882,c_109]) ).
tcf(c_277782,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),X1)
| leq(X0,s(s(nbr_proc)))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_222882,c_106]) ).
tcf(c_277783,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),X1)
| leq(X1,s(s(nbr_proc)))
| ( host(X0) = s(X1) ) ),
inference(superposition,[status(thm)],[c_222882,c_114]) ).
tcf(c_277795,plain,
! [X0: $i] :
( leq(X0,s(s(nbr_proc)))
| leq(host(sK8),s(X0))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_222882,c_202057]) ).
tcf(c_277849,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(host(X1),nbr_proc)
| ~ leq(s(s(s(nbr_proc))),X0) ),
inference(light_normalisation,[status(thm)],[c_277663,c_202443]) ).
tcf(c_278026,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK2),s(s(X0)))
| ( host(sK2) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_204701,c_222895]) ).
tcf(c_278033,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(s(host(X1)),nbr_proc)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_222895,c_208469]) ).
tcf(c_278034,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X1),s(nbr_proc))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_222895,c_207594]) ).
tcf(c_278035,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X1),host(X2))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_222895,c_206179]) ).
tcf(c_278036,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,s(nbr_proc))
| leq(host(X1),s(s(X2)))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222895,c_203949]) ).
tcf(c_278037,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(s(zero),s(s(X1)))
| ~ leq(nbr_proc,host(X0)) ),
inference(superposition,[status(thm)],[c_222895,c_203913]) ).
tcf(c_278038,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X1),nbr_proc)
| leq(zero,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_222895,c_211410]) ).
tcf(c_278039,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,s(nbr_proc))
| leq(host(X2),nbr_proc)
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_222895,c_209486]) ).
tcf(c_278041,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X1),nbr_proc)
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_222895,c_205100]) ).
tcf(c_278044,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| ( s(s(X0)) = host(X1) )
| ~ leq(s(s(X0)),host(X1)) ),
inference(superposition,[status(thm)],[c_222895,c_109]) ).
tcf(c_278045,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X2),X1)
| ~ leq(s(s(X0)),X1) ),
inference(superposition,[status(thm)],[c_222895,c_106]) ).
tcf(c_278046,plain,
! [X0: $i,X1: $i] :
( leq(X0,s(nbr_proc))
| leq(host(X1),s(X0))
| ( s(s(X0)) = host(X1) ) ),
inference(superposition,[status(thm)],[c_222895,c_114]) ).
tcf(c_278056,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_222895,c_202057]) ).
tcf(c_278107,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(host(sK8))))
| ~ leq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_218769,c_204714]) ).
tcf(c_278109,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),X1)
| leq(s(X0),nbr_proc)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_208469]) ).
tcf(c_278112,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,host(sK8))
| leq(host(X1),X2)
| leq(nbr_proc,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_218769,c_203949]) ).
tcf(c_278113,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),X1)
| leq(nbr_proc,s(s(X0)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_218769,c_203913]) ).
tcf(c_278115,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,nbr_proc)
| leq(X2,host(sK8))
| leq(host(X1),X2)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_209486]) ).
tcf(c_278117,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,host(sK8))
| leq(s(zero),X1)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_205100]) ).
tcf(c_278120,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(s(X1)))
| ( X0 = X1 )
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_218769,c_109]) ).
tcf(c_278121,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(X2)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_218769,c_106]) ).
tcf(c_278123,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),host(sK8))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_218769,c_115]) ).
tcf(c_278125,plain,
! [X0: $i] :
( leq(host(X0),host(sK8))
| leq(nbr_proc,s(s(host(sK2))))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_218769,c_203633]) ).
tcf(c_278126,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_218769,c_233035]) ).
tcf(c_278127,plain,
! [X0: $i] :
( leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(X0)))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_218769,c_208692]) ).
tcf(c_278129,plain,
! [X0: $i,X1: $i] :
( leq(s(X1),X0)
| leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_218769,c_204891]) ).
tcf(c_278130,plain,
! [X0: $i] :
( leq(s(X0),nbr_proc)
| leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_202427]) ).
tcf(c_278135,plain,
( leq(nbr_proc,s(s(s(zero))))
| leq(host(sK8),sK10(sK6,sK8))
| leq(sK10(sK6,sK8),host(sK8))
| ( sK10(sK6,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_218769,c_201931]) ).
tcf(c_278136,plain,
( leq(nbr_proc,s(s(s(zero))))
| leq(host(sK8),sK10(sK7,sK8))
| leq(sK10(sK7,sK8),host(sK8))
| ( sK10(sK7,sK8) = host(sK7) )
| ~ iPr_def_14 ),
inference(superposition,[status(thm)],[c_218769,c_201932]) ).
tcf(c_278140,plain,
! [X0: $i,X1: $i] :
( leq(X0,nbr_proc)
| leq(X1,host(sK8))
| leq(host(sK8),X1)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_218769,c_208555]) ).
tcf(c_278141,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,host(sK8))
| leq(X0,host(X1))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_218769,c_207298]) ).
tcf(c_278143,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK8))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_218769,c_207017]) ).
tcf(c_278144,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,host(sK8))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_218769,c_206655]) ).
tcf(c_278147,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X2,host(sK8))
| leq(s(X1),X2)
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_218769,c_203670]) ).
tcf(c_278148,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| leq(X2,host(sK8))
| leq(nbr_proc,s(s(s(X1))))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_218769,c_202048]) ).
tcf(c_278156,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_218769,c_203574]) ).
tcf(c_278158,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(zero,s(X2))
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_218769,c_207303]) ).
tcf(c_278159,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X1)
| leq(X2,host(sK8))
| leq(s(X1),X2)
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_218769,c_206323]) ).
tcf(c_278160,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,host(sK8))
| leq(s(zero),X1)
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_218769,c_206193]) ).
tcf(c_278161,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X2)
| leq(X2,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(host(X0)))) ),
inference(superposition,[status(thm)],[c_218769,c_204463]) ).
tcf(c_278167,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X0,nbr_proc)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_218769,c_208572]) ).
tcf(c_278168,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X1)
| leq(X0,X2)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_218769,c_206503]) ).
tcf(c_278173,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(X0,nbr_proc)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(s(s(X0)))))) ),
inference(superposition,[status(thm)],[c_218769,c_214130]) ).
tcf(c_278176,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),X0)
| leq(nbr_proc,s(s(sK10(sK6,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_218769,c_202063]) ).
tcf(c_278178,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),X0)
| leq(nbr_proc,s(s(sK10(sK7,sK8))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_218769,c_202064]) ).
tcf(c_278180,plain,
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(sK10(sK6,sK8))))
| ( sK10(sK6,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_218769,c_202347]) ).
tcf(c_278181,plain,
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(sK10(sK7,sK8))))
| ( sK10(sK7,sK8) = s(zero) )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_218769,c_202348]) ).
tcf(c_278183,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(host(X0))))
| ( host(X0) = s(zero) ) ),
inference(superposition,[status(thm)],[c_218769,c_202335]) ).
tcf(c_278184,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),host(sK8))
| ( host(X0) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_218769,c_202336]) ).
tcf(c_278185,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(nbr_proc)))
| leq(host(X0),host(sK8))
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_218769,c_203951]) ).
tcf(c_278188,plain,
! [X0: $i] :
( leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(s(X0))))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_218769,c_208639]) ).
tcf(c_278190,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_218769,c_220294]) ).
tcf(c_278191,plain,
! [X0: $i] :
( leq(s(zero),X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_218769,c_207255]) ).
tcf(c_278192,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_218769,c_203915]) ).
tcf(c_278193,plain,
! [X0: $i] :
( leq(host(sK8),X0)
| leq(nbr_proc,s(s(nbr_proc)))
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_218769,c_202431]) ).
tcf(c_278199,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(host(sK8),X0)
| leq(nbr_proc,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_218769,c_207567]) ).
tcf(c_278205,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(s(nbr_proc))))) ),
inference(superposition,[status(thm)],[c_218769,c_206924]) ).
tcf(c_278212,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(host(X0),X1)
| leq(nbr_proc,s(s(s(s(s(nbr_proc)))))) ),
inference(superposition,[status(thm)],[c_218769,c_223145]) ).
tcf(c_278216,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_232965]) ).
tcf(c_278224,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(host(sK8),X0)
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_218769,c_207935]) ).
tcf(c_278226,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(s(zero),X0)
| leq(nbr_proc,s(s(s(s(s(s(nbr_proc))))))) ),
inference(superposition,[status(thm)],[c_218769,c_202070]) ).
tcf(c_278228,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(X0,host(X1))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_218769,c_233821]) ).
tcf(c_278230,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_218769,c_233875]) ).
tcf(c_278232,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(s(s(zero)),host(sK8))
| ( s(s(zero)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_218769,c_204157]) ).
tcf(c_278243,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(s(zero),X1)
| leq(nbr_proc,s(s(s(s(s(host(X0))))))) ),
inference(superposition,[status(thm)],[c_218769,c_207947]) ).
tcf(c_278245,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(s(X0)))))))) ),
inference(superposition,[status(thm)],[c_218769,c_204511]) ).
tcf(c_278246,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(s(X0)))) ),
inference(superposition,[status(thm)],[c_218769,c_214522]) ).
tcf(c_278247,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_218769,c_206615]) ).
tcf(c_278248,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(sK10(sK6,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_218769,c_207701]) ).
tcf(c_278249,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(s(sK10(sK7,sK8)))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_218769,c_207983]) ).
tcf(c_278255,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(host(X0)))))))) ),
inference(superposition,[status(thm)],[c_218769,c_233815]) ).
tcf(c_278256,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(host(X0)))))))) ),
inference(superposition,[status(thm)],[c_218769,c_207904]) ).
tcf(c_278257,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_218769,c_233880]) ).
tcf(c_278258,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(X0))))) ),
inference(superposition,[status(thm)],[c_218769,c_234965]) ).
tcf(c_278260,plain,
( leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(s(s(s(s(s(nbr_proc)))))))) ),
inference(superposition,[status(thm)],[c_218769,c_213049]) ).
tcf(c_278262,plain,
! [X0: $i] :
( leq(host(X0),host(sK8))
| leq(nbr_proc,s(s(host(sK7))))
| ( host(sK2) = nbr_proc )
| ~ elem(m_Ldr(X0),sK0) ),
inference(superposition,[status(thm)],[c_218769,c_206837]) ).
tcf(c_278264,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(s(sK10(sK6,sK8)))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_218769,c_234197]) ).
tcf(c_278265,plain,
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(s(s(s(sK10(sK7,sK8)))))))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_218769,c_234434]) ).
tcf(c_278267,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X0)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(X1)))
| ~ leq(s(host(sK8)),X0) ),
inference(superposition,[status(thm)],[c_218769,c_204714]) ).
tcf(c_278268,plain,
! [X0: $i] :
( leq(X0,host(sK8))
| leq(nbr_proc,s(host(sK8)))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_202428]) ).
tcf(c_278269,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(X1),nbr_proc)
| leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_208469]) ).
tcf(c_278270,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,s(nbr_proc))
| leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_207594]) ).
tcf(c_278271,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(X1,host(X2))
| leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_206179]) ).
tcf(c_278272,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(nbr_proc,s(s(X2)))
| leq(host(X1),host(sK8))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_218769,c_203949]) ).
tcf(c_278273,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_218769,c_203913]) ).
tcf(c_278274,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(zero,s(host(sK8)))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_211410]) ).
tcf(c_278275,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,nbr_proc)
| leq(X1,X2)
| leq(nbr_proc,s(s(X1)))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_218769,c_209486]) ).
tcf(c_278276,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(nbr_proc,s(s(X1)))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_218769,c_208821]) ).
tcf(c_278277,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_205100]) ).
tcf(c_278278,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,X1)
| leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_203571]) ).
tcf(c_278280,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| ( host(sK8) = X0 )
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_218769,c_109]) ).
tcf(c_278281,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,X2)
| leq(nbr_proc,s(s(X1)))
| ~ leq(host(sK8),X0) ),
inference(superposition,[status(thm)],[c_218769,c_106]) ).
tcf(c_278285,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(nbr_proc,s(s(X1)))
| ( s(X0) = nbr_proc )
| ~ leq(nbr_proc,s(X0)) ),
inference(superposition,[status(thm)],[c_218769,c_208692]) ).
tcf(c_278287,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(s(X2),X0)
| leq(nbr_proc,s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_218769,c_204891]) ).
tcf(c_278290,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_218769,c_201589]) ).
tcf(c_278291,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(host(sK8))))) ),
inference(superposition,[status(thm)],[c_218769,c_201594]) ).
tcf(c_278292,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(s(host(sK8)))))) ),
inference(superposition,[status(thm)],[c_218769,c_201708]) ).
tcf(c_278293,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(s(s(host(sK8))))))) ),
inference(superposition,[status(thm)],[c_218769,c_201873]) ).
tcf(c_278294,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_208555]) ).
tcf(c_278295,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,host(sK8))
| leq(X1,host(X2))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_207298]) ).
tcf(c_278296,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(nbr_proc,s(host(sK8)))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_208029]) ).
tcf(c_278298,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,host(sK8))
| leq(X1,s(X2))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_206655]) ).
tcf(c_278299,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(X1,s(X0))
| leq(nbr_proc,s(s(X1)))
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_218769,c_204411]) ).
tcf(c_278301,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,X0)
| leq(X1,s(X2))
| leq(nbr_proc,s(s(X1)))
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_218769,c_203670]) ).
tcf(c_278302,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,host(sK8))
| leq(X2,s(X1))
| leq(nbr_proc,s(s(X2)))
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_218769,c_202048]) ).
tcf(c_278303,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,host(sK8))
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_204027]) ).
tcf(c_278305,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(X0))
| leq(nbr_proc,s(s(X1)))
| leq(X0,s(host(sK8))) ),
inference(superposition,[status(thm)],[c_218769,c_203735]) ).
tcf(c_278312,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,s(X2))
| leq(X2,host(sK8))
| leq(X0,host(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_207303]) ).
tcf(c_278313,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(zero,X0)
| leq(X1,host(X2))
| leq(nbr_proc,s(s(X1)))
| leq(s(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_218769,c_206323]) ).
tcf(c_278314,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X2,host(sK8))
| leq(s(zero),X2)
| leq(X0,host(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_206193]) ).
tcf(c_278316,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(nbr_proc,s(s(X0)))
| leq(zero,s(s(host(sK8)))) ),
inference(superposition,[status(thm)],[c_218769,c_207779]) ).
tcf(c_278317,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(nbr_proc,s(s(X0)))
| leq(s(zero),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_218769,c_204994]) ).
tcf(c_278318,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(zero,s(host(sK8)))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_204431]) ).
tcf(c_278319,plain,
! [X0: $i,X1: $i] :
( leq(X0,host(X1))
| leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_202051]) ).
tcf(c_278321,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_218769,c_208572]) ).
tcf(c_278322,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_218769,c_206503]) ).
tcf(c_278323,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X1,s(host(sK8)))
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_218769,c_206377]) ).
tcf(c_278325,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X1,s(host(sK8)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_218769,c_210335]) ).
tcf(c_278327,plain,
! [X0: $i,X1: $i] :
( leq(X1,nbr_proc)
| leq(nbr_proc,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(X1)))) ),
inference(superposition,[status(thm)],[c_218769,c_214130]) ).
tcf(c_278329,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_218769,c_203775]) ).
tcf(c_278330,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,sK10(sK6,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_218769,c_202063]) ).
tcf(c_278331,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_218769,c_203787]) ).
tcf(c_278332,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,sK10(sK7,sK8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_218769,c_202064]) ).
tcf(c_278333,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(s(X1))))) ),
inference(superposition,[status(thm)],[c_218769,c_202065]) ).
tcf(c_278334,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| ( host(sK8) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_218769,c_202336]) ).
tcf(c_278335,plain,
! [X0: $i] :
( leq(X0,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| ~ elem(m_Ldr(sK8),sK0) ),
inference(superposition,[status(thm)],[c_218769,c_203951]) ).
tcf(c_278340,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(X1))
| leq(X1,host(sK8))
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_207022]) ).
tcf(c_278341,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(X0,s(nbr_proc))
| leq(host(sK8),X1)
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_207567]) ).
tcf(c_278342,plain,
! [X0: $i,X1: $i] :
( leq(X1,s(nbr_proc))
| leq(nbr_proc,s(s(X1)))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_218769,c_223710]) ).
tcf(c_278344,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_205039]) ).
tcf(c_278345,plain,
! [X0: $i] :
( leq(X0,s(nbr_proc))
| leq(zero,s(host(sK8)))
| leq(nbr_proc,s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_203974]) ).
tcf(c_278347,plain,
! [X0: $i,X1: $i] :
( leq(zero,X1)
| leq(X1,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_218769,c_206924]) ).
tcf(c_278348,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(X1)))
| leq(X1,s(s(nbr_proc)))
| leq(host(X0),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_218769,c_224023]) ).
tcf(c_278349,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(nbr_proc)))
| leq(s(zero),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_218769,c_213643]) ).
tcf(c_278350,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(X1)))
| leq(X1,s(s(nbr_proc)))
| leq(host(X0),host(sK8)) ),
inference(superposition,[status(thm)],[c_218769,c_223104]) ).
tcf(c_278351,plain,
! [X0: $i] :
( leq(zero,s(host(sK8)))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_218769,c_206889]) ).
tcf(c_278352,plain,
! [X0: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_218769,c_205087]) ).
tcf(c_278353,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(nbr_proc))) ),
inference(superposition,[status(thm)],[c_218769,c_202067]) ).
tcf(c_278354,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(host(X1),host(sK8))
| leq(X0,s(s(s(nbr_proc)))) ),
inference(superposition,[status(thm)],[c_218769,c_223145]) ).
tcf(c_278362,plain,
! [X0: $i] :
( leq(X0,host(sK2))
| leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(X0)))
| ( host(sK2) = host(sK7) ) ),
inference(superposition,[status(thm)],[c_218769,c_202057]) ).
tcf(c_278363,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(host(X1)))
| leq(s(zero),s(host(sK8))) ),
inference(superposition,[status(thm)],[c_218769,c_213503]) ).
tcf(c_278364,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(host(sK8)))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_218769,c_207823]) ).
tcf(c_278365,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_218769,c_205062]) ).
tcf(c_278366,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(host(X1))) ),
inference(superposition,[status(thm)],[c_218769,c_204492]) ).
tcf(c_278367,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(host(sK8)))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_218769,c_212912]) ).
tcf(c_278368,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_218769,c_206597]) ).
tcf(c_278369,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(host(X1)))) ),
inference(superposition,[status(thm)],[c_218769,c_204502]) ).
tcf(c_278370,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_218769,c_207947]) ).
tcf(c_278371,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(host(X1))))) ),
inference(superposition,[status(thm)],[c_218769,c_202069]) ).
tcf(c_278372,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(s(s(X1)))))) ),
inference(superposition,[status(thm)],[c_218769,c_204511]) ).
tcf(c_278375,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(sK10(sK6,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_218769,c_207701]) ).
tcf(c_278376,plain,
! [X0: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(sK10(sK7,sK8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_218769,c_207983]) ).
tcf(c_278377,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(s(s(s(host(sK8)))))))) ),
inference(superposition,[status(thm)],[c_218769,c_204971]) ).
tcf(c_278379,plain,
! [X0: $i,X1: $i] :
( leq(zero,host(sK8))
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(s(s(host(X1)))))) ),
inference(superposition,[status(thm)],[c_218769,c_207904]) ).
tcf(c_278383,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(s(nbr_proc),nbr_proc)
| leq(X1,host(sK8))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_208469]) ).
tcf(c_278384,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(nbr_proc,s(nbr_proc))
| leq(X1,host(sK8))
| leq(host(sK8),s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_207594]) ).
tcf(c_278385,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X1)
| leq(nbr_proc,host(X2))
| leq(X1,host(sK8))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_206179]) ).
tcf(c_278386,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,host(sK8))
| leq(host(X0),s(s(X1)))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_218769,c_203949]) ).
tcf(c_278387,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(s(zero),s(s(X0)))
| ~ leq(nbr_proc,nbr_proc) ),
inference(superposition,[status(thm)],[c_218769,c_203913]) ).
tcf(c_278389,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X1,X2)
| leq(X2,host(sK8))
| leq(host(X0),s(s(X1))) ),
inference(superposition,[status(thm)],[c_218769,c_209486]) ).
tcf(c_278391,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,X1)
| leq(X1,host(sK8))
| leq(s(zero),s(s(X0))) ),
inference(superposition,[status(thm)],[c_218769,c_205100]) ).
tcf(c_278398,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,host(sK8))
| leq(host(sK8),X0)
| leq(X0,s(s(X1))) ),
inference(superposition,[status(thm)],[c_218769,c_218832]) ).
tcf(c_278405,plain,
! [X0: $i] :
( leq(zero,X0)
| leq(X0,host(sK8))
| ( s(s(zero)) = nbr_proc ) ),
inference(superposition,[status(thm)],[c_218769,c_204157]) ).
tcf(c_278408,plain,
( leq(host(sK8),host(sK8))
| leq(nbr_proc,s(s(host(sK8)))) ),
inference(equality_factoring,[status(thm)],[c_218769]) ).
tcf(c_278409,plain,
( leq(nbr_proc,s(s(nbr_proc)))
| leq(s(s(nbr_proc)),host(sK8)) ),
inference(equality_factoring,[status(thm)],[c_218769]) ).
tcf(c_278421,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(X0,s(nbr_proc))
| leq(nbr_proc,s(s(X0))) ),
inference(light_normalisation,[status(thm)],[c_278345,c_202443]) ).
tcf(c_278425,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(X0,host(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(light_normalisation,[status(thm)],[c_278318,c_202443]) ).
tcf(c_278428,plain,
! [X0: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X0,host(sK8))
| leq(nbr_proc,s(s(X0))) ),
inference(light_normalisation,[status(thm)],[c_278268,c_202443]) ).
tcf(c_278433,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(host(X1))) ),
inference(light_normalisation,[status(thm)],[c_278364,c_202443]) ).
tcf(c_278434,plain,
! [X0: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(nbr_proc))) ),
inference(light_normalisation,[status(thm)],[c_278351,c_202443]) ).
tcf(c_278439,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),nbr_proc)
| leq(X0,host(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(light_normalisation,[status(thm)],[c_278317,c_202443]) ).
tcf(c_278440,plain,
! [X0: $i,X1: $i] :
( leq(zero,s(nbr_proc))
| leq(X0,host(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(light_normalisation,[status(thm)],[c_278316,c_202443]) ).
tcf(c_278445,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(host(X1)))) ),
inference(light_normalisation,[status(thm)],[c_278367,c_202443]) ).
tcf(c_278446,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(host(X1))) ),
inference(light_normalisation,[status(thm)],[c_278363,c_202443]) ).
tcf(c_278450,plain,
! [X0: $i] :
( leq(s(zero),nbr_proc)
| leq(nbr_proc,s(s(X0)))
| leq(X0,s(s(nbr_proc))) ),
inference(light_normalisation,[status(thm)],[c_278349,c_202443]) ).
tcf(c_278469,plain,
! [X0: $i,X1: $i] :
( leq(zero,nbr_proc)
| leq(X1,nbr_proc)
| leq(X0,X1)
| leq(nbr_proc,s(s(X0))) ),
inference(light_normalisation,[status(thm)],[c_278274,c_202443]) ).
tcf(c_278489,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| leq(X1,host(sK8))
| leq(s(zero),s(s(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278387,c_111]) ).
tcf(c_278493,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,X2)
| leq(X2,host(sK8))
| leq(host(X0),s(s(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278386,c_111]) ).
tcf(c_278545,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,nbr_proc)
| leq(X1,nbr_proc)
| leq(X0,s(X1))
| leq(nbr_proc,s(s(X0))) ),
inference(light_normalisation,[status(thm)],[c_278296,c_202443]) ).
tcf(c_278649,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,X1)
| leq(nbr_proc,s(nbr_proc))
| leq(X0,host(sK8))
| ~ leq(s(X0),X1) ),
inference(light_normalisation,[status(thm)],[c_278107,c_202443]) ).
tcf(c_278650,plain,
! [X0: $i] :
( leq(nbr_proc,s(s(s(X0))))
| ( s(X0) = nbr_proc )
| ~ leq(host(sK8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278188,c_202441]) ).
tcf(c_278853,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_278650,c_278649,c_278545,c_278493,c_278489,c_278428,c_278409,c_278408,c_278405,c_278398,c_278391,c_278389,c_278387,c_278386,c_278385,c_278384,c_278383,c_278379,c_278377,c_278376,c_278375,c_278371,c_278370,c_278369,c_278368,c_278367,c_278366,c_278365,c_278364,c_278363,c_278362,c_278354,c_278353,c_278352,c_278351,c_278349,c_278348,c_278347,c_278345,c_278344,c_278340,c_278335,c_278334,c_278332,c_278331,c_278330,c_278329,c_278327,c_278325,c_278323,c_278322,c_278321,c_278319,c_278318,c_278317,c_278316,c_278313,c_278312,c_278305,c_278303,c_278302,c_278301,c_278299,c_278298,c_278296,c_278295,c_278294,c_278293,c_278292,c_278291,c_278290,c_278287,c_278285,c_278281,c_278280,c_278278,c_278277,c_278276,c_278275,c_278274,c_278273,c_278272,c_278271,c_278270,c_278269,c_278268,c_278267,c_278265,c_278264,c_278262,c_278260,c_278258,c_278257,c_278256,c_278255,c_278249,c_278248,c_278247,c_278246,c_278245,c_278243,c_278232,c_278230,c_278228,c_278226,c_278224,c_278216,c_278212,c_278205,c_278199,c_278193,c_278192,c_278191,c_278190,c_278188,c_278185,c_278184,c_278183,c_278181,c_278180,c_278178,c_278176,c_278173,c_278168,c_278160,c_278159,c_278158,c_278148,c_278147,c_278144,c_278143,c_278141,c_278140,c_278136,c_278135,c_278130,c_278129,c_278127,c_278126,c_278125,c_278121,c_278120,c_278117,c_278115,c_278113,c_278112,c_278314,c_278341,c_278109,c_278107,c_278056,c_278041,c_278039,c_278038,c_278035,c_278034,c_278033,c_277849,c_277795,c_277685,c_277676,c_277668,c_277663,c_277419,c_277413,c_277400,c_277365,c_277364,c_277363,c_277347,c_277345,c_277343,c_277341,c_277330,c_277329,c_277328,c_277315,c_277314,c_277313,c_277312,c_277301,c_277300,c_277299,c_277298,c_277290,c_277288,c_276991,c_276984,c_276983,c_276978,c_276977,c_276968,c_276944,c_276941,c_276940,c_276939,c_276938,c_276937,c_276936,c_276935,c_276929,c_276928,c_276927,c_276926,c_276919,c_276907,c_276905,c_276896,c_276895,c_276888,c_276887,c_276856,c_276854,c_276847,c_276846,c_276834,c_276833,c_276831,c_276830,c_276821,c_276820,c_276819,c_276816,c_276815,c_276813,c_276811,c_276810,c_276804,c_276798,c_276797,c_276639,c_276638,c_276580,c_276542,c_276524,c_276472,c_276468,c_276406,c_276402,c_276392,c_276387,c_276386,c_276383,c_276382,c_276377,c_276376,c_276369,c_276345,c_276331,c_276330,c_276325,c_276279,c_276229,c_276217,c_276216,c_276215,c_276211,c_276210,c_276209,c_276208,c_276184,c_276183,c_276172,c_276171,c_276162,c_276160,c_276159,c_276158,c_276157,c_276151,c_276150,c_276144,c_276132,c_276128,c_276126,c_276120,c_276119,c_276117,c_276116,c_276115,c_276114,c_276113,c_276112,c_276111,c_276101,c_276100,c_276095,c_276093,c_276091,c_276090,c_276089,c_276088,c_276079,c_276077,c_275938,c_275918,c_275857,c_275844,c_275842,c_275841,c_275831,c_275830,c_275829,c_275828,c_275827,c_275763,c_275762,c_275760,c_275756,c_275726,c_275725,c_275716,c_275715,c_275684,c_275682,c_275677,c_275614,c_275605,c_275604,c_275552,c_275551,c_275550,c_275547,c_275546,c_275545,c_275544,c_275541,c_275467,c_275466,c_275465,c_275462,c_275461,c_275460,c_275459,c_275456,c_275330,c_275093,c_275073,c_275070,c_275069,c_275059,c_275058,c_275055,c_275054,c_275052,c_275022,c_275013,c_275010,c_275009,c_275006,c_274993,c_274991,c_274990,c_274989,c_274988,c_274987,c_274984,c_274965,c_274962,c_275019,c_274930,c_274922,c_274897,c_274858,c_274850,c_274847,c_274846,c_274845,c_274726,c_274724,c_274722,c_274712,c_274711,c_274704,c_274703,c_274681,c_274680,c_274679,c_274667,c_274654,c_274642,c_274640,c_274539,c_274534,c_274505,c_274388,c_274353,c_274347,c_274320,c_274275,c_274251,c_274250,c_274249,c_274248,c_274246,c_274245,c_274240,c_274230,c_274229,c_274224,c_274223,c_274217,c_274215,c_274214,c_274213,c_274200,c_274199,c_274197,c_274196,c_274195,c_274247,c_274093,c_274042,c_274037,c_274036,c_274028,c_274020,c_274017,c_274016,c_274015,c_274004,c_273989,c_273987,c_273981,c_273980,c_273955,c_273954,c_273949,c_273948,c_273937,c_273936,c_273935,c_273934,c_273927,c_273926,c_273924,c_273920,c_273918,c_273908,c_273907,c_273792,c_273713,c_273701,c_273700,c_273699,c_273698,c_273687,c_273686,c_273685,c_273684,c_273438,c_273432,c_273431,c_273430,c_273429,c_273427,c_273426,c_273412,c_273411,c_273408,c_273407,c_273401,c_273394,c_273393,c_273391,c_273390,c_273382,c_273380,c_273351,c_273343,c_273318,c_273315,c_273309,c_273174,c_273138,c_273137,c_273112,c_273111,c_273110,c_273103,c_273090,c_273087,c_273082,c_273079,c_273063,c_273060,c_273057,c_273056,c_273055,c_273054,c_273042,c_273040,c_273039,c_273036,c_273026,c_273025,c_273024,c_273023,c_273012,c_272971,c_272970,c_272968,c_272964,c_272349,c_272346,c_272335,c_272331,c_272329,c_272328,c_272324,c_272316,c_272302,c_272293,c_272288,c_272279,c_272271,c_272269,c_272267,c_272266,c_272265,c_272183,c_272172,c_272154,c_272153,c_272116,c_272104,c_272012,c_271967,c_271966,c_271965,c_271956,c_271955,c_271912,c_271906,c_271905,c_271900,c_271863,c_271862,c_271861,c_271853,c_271845,c_271842,c_271840,c_271831,c_271822,c_271814,c_271799,c_271782,c_271780,c_271776,c_271774,c_271773,c_271760,c_271758,c_271757,c_271753,c_271751,c_271740,c_271738,c_271612,c_271607,c_271508,c_271507,c_271492,c_271479,c_271472,c_271471,c_271449,c_271448,c_271447,c_271439,c_271436,c_271435,c_271434,c_271432,c_271423,c_271416,c_271415,c_271412,c_271411,c_271410,c_271409,c_271377,c_271286,c_271285,c_271274,c_271272,c_271271,c_271257,c_271192,c_271166,c_271157,c_271062,c_270971,c_270938,c_270896,c_270842,c_270832,c_270824,c_270820,c_270797,c_270823,c_270761,c_270731,c_261488,c_261474,c_261466,c_261463,c_261439,c_261414,c_261401,c_261388,c_261386,c_261385,c_261208,c_261150,c_261149,c_261148,c_261129,c_261126,c_261121,c_261118,c_261102,c_261081,c_261079,c_261078,c_261075,c_261052,c_261051,c_261046,c_261044,c_261043,c_260904,c_260890,c_260882,c_260879,c_260877,c_260854,c_260803,c_260801,c_260800,c_260786,c_259874,c_259873,c_259871,c_259867,c_259788,c_259698,c_259697,c_259686,c_259684,c_259683,c_259669,c_259394,c_259388,c_259385,c_259384,c_259371,c_259370,c_259369,c_259360,c_259356,c_259343,c_259342,c_259323,c_259321,c_259320,c_259314,c_259312,c_259310,c_259304,c_259303,c_259295,c_259270,c_259261,c_259253,c_259246,c_259245,c_259244,c_259243,c_259242,c_259241,c_259233,c_259230,c_259229,c_259228,c_259227,c_259226,c_259225,c_259202,c_259197,c_259196,c_259195,c_259194,c_259193,c_259182,c_259178,c_259177,c_259171,c_259170,c_259164,c_259148,c_259146,c_259139,c_259137,c_259136,c_259121,c_258858,c_258852,c_258849,c_258843,c_258818,c_258809,c_258808,c_258807,c_258799,c_258798,c_258796,c_258777,c_258776,c_258769,c_258768,c_258729,c_258728,c_258725,c_258724,c_258708,c_258706,c_258703,c_258700,c_258696,c_258695,c_258694,c_258693,c_258692,c_258683,c_258615,c_258609,c_258601,c_258590,c_258588,c_258581,c_258526,c_258515,c_258513,c_258512,c_258498,c_258485,c_258355,c_258353,c_258352,c_258349,c_258346,c_258256,c_258248,c_258228,c_258116,c_258108,c_258088,c_257738,c_257686,c_257685,c_257683,c_257682,c_257676,c_257671,c_257670,c_257665,c_257650,c_257622,c_257816,c_257582,c_257580,c_257487,c_257458,c_257446,c_257445,c_257423,c_257415,c_257412,c_257410,c_257335,c_257306,c_257294,c_257293,c_257281,c_257271,c_257264,c_257263,c_257260,c_257258,c_256960,c_256948,c_256941,c_256919,c_256918,c_256884,c_256872,c_256871,c_256843,c_256775,c_256773,c_256768,c_256755,c_256754,c_256748,c_256746,c_256745,c_256739,c_256731,c_256907,c_256728,c_256727,c_256726,c_256718,c_256774,c_256656,c_256584,c_256571,c_256570,c_256569,c_256558,c_256556,c_256555,c_256547,c_256541,c_255402,c_255401,c_255398,c_255395,c_255394,c_255393,c_255391,c_255377,c_255376,c_255374,c_255373,c_255371,c_255370,c_255369,c_255368,c_255367,c_255366,c_255365,c_255362,c_255361,c_255360,c_255359,c_255358,c_255357,c_255356,c_255354,c_255349,c_255346,c_255345,c_255344,c_255341,c_255340,c_255338,c_255337,c_255336,c_255334,c_255333,c_255331,c_255313,c_255309,c_255307,c_255303,c_255290,c_255289,c_255288,c_255287,c_255285,c_255274,c_255271,c_254925,c_254922,c_254899,c_254889,c_254888,c_254880,c_254856,c_254851,c_254840,c_254838,c_254816,c_254784,c_254783,c_254781,c_254777,c_254716,c_254715,c_254695,c_254684,c_254667,c_254655,c_254654,c_254644,c_254622,c_254614,c_254612,c_254611,c_254610,c_254609,c_254562,c_254528,c_254503,c_254500,c_254461,c_254315,c_254238,c_254310,c_254158,c_254153,c_254144,c_254136,c_254134,c_254133,c_254132,c_254131,c_253996,c_253966,c_253944,c_253934,c_253927,c_253926,c_253923,c_272105,c_253534,c_253532,c_253524,c_253521,c_253519,c_253509,c_253495,c_253494,c_253484,c_253471,c_253449,c_253443,c_253439,c_253416,c_253413,c_253412,c_253410,c_253348,c_253339,c_253334,c_253333,c_253332,c_253321,c_253319,c_253314,c_253306,c_253305,c_253303,c_253302,c_253301,c_253293,c_253281,c_253240,c_253238,c_253171,c_253141,c_253131,c_253109,c_253101,c_253098,c_252529,c_252510,c_252496,c_252491,c_252480,c_252453,c_252408,c_252481,c_252395,c_252394,c_252390,c_252389,c_252388,c_252383,c_252380,c_252369,c_252366,c_252348,c_252347,c_252345,c_252342,c_252338,c_252335,c_252332,c_252319,c_252318,c_252316,c_252314,c_252307,c_252305,c_252304,c_252303,c_252301,c_252300,c_252299,c_252298,c_252288,c_252287,c_252281,c_252271,c_252268,c_252259,c_252172,c_252171,c_252166,c_252165,c_252147,c_252144,c_252143,c_252140,c_252095,c_252073,c_252068,c_252067,c_252066,c_252056,c_252055,c_252053,c_252052,c_252042,c_252036,c_252034,c_252027,c_252025,c_251664,c_251641,c_251640,c_251575,c_251574,c_251571,c_251570,c_251567,c_251565,c_251564,c_251559,c_251550,c_251546,c_251545,c_251543,c_251542,c_251533,c_251532,c_251526,c_251525,c_251524,c_251551,c_251522,c_251517,c_251516,c_251513,c_251510,c_251500,c_251498,c_251497,c_251487,c_251485,c_251484,c_251483,c_251482,c_251481,c_251480,c_251477,c_251472,c_251499,c_251462,c_251460,c_251453,c_251450,c_251410,c_251409,c_251407,c_251403,c_251204,c_251199,c_251131,c_251126,c_251040,c_250872,c_250672,c_250599,c_250596,c_250591,c_250490,c_250489,c_250488,c_250487,c_250482,c_250409,c_250365,c_250357,c_250336,c_250335,c_250333,c_250209,c_250205,c_250204,c_250198,c_250196,c_250188,c_250187,c_250184,c_250183,c_250182,c_250046,c_248407,c_248359,c_248345,c_248344,c_248343,c_248341,c_248339,c_248337,c_251676,c_247384,c_247383,c_247382,c_247161,c_246290,c_245926,c_245912,c_245908,c_245898,c_245822,c_244950,c_244826,c_244819,c_244791,c_244767,c_244757,c_244313,c_244222,c_243652,c_243144,c_243137,c_243109,c_243085,c_242755,c_242754,c_242750,c_242749,c_242748,c_242747,c_242746,c_242726,c_242690,c_242689,c_242659,c_242638,c_242596,c_242594,c_242581,c_242580,c_242579,c_242572,c_242523,c_242517,c_242516,c_242510,c_242209,c_241995,c_241993,c_241987,c_241973,c_241969,c_241711,c_241665,c_241633,c_241598,c_240906,c_240618,c_240602,c_239433,c_239345,c_239332,c_239329,c_238854,c_238784,c_238764,c_238763,c_238057,c_237395,c_237309,c_237302,c_237300,c_237299,c_237256,c_237254,c_237230,c_237219,c_237204,c_237203,c_237202,c_237200,c_237054,c_278445,c_278433,c_278446,c_278434,c_278450,c_278421,c_278425,c_278439,c_278440,c_278469,c_236226,c_236224,c_235999,c_235934,c_235915,c_235486,c_235319,c_234707,c_234701,c_234694,c_234681,c_234148,c_234142,c_233866,c_232934,c_232922,c_232920,c_232836,c_232831,c_232826,c_232825,c_232824,c_232823,c_232820,c_232756,c_232751,c_232746,c_232745,c_232744,c_232743,c_232740,c_232360,c_232267,c_232235,c_232212,c_232209,c_231369,c_231354,c_231319,c_231264,c_231255,c_231224,c_231194,c_231130,c_231121,c_231105,c_231096,c_231094,c_231084,c_231080,c_231066,c_231065,c_231064,c_231063,c_231057,c_231056,c_231055,c_230900,c_230680,c_230236,c_230174,c_230165,c_230155,c_230152,c_230145,c_230122,c_229989,c_229968,c_229950,c_227779,c_242068,c_227392,c_226318,c_226314,c_226222,c_226161,c_225885,c_225631,c_225493,c_225435,c_225049,c_225048,c_225045,c_225044,c_225035,c_225033,c_225025,c_225010,c_224865,c_224830,c_224812,c_224798,c_224789,c_224786,c_224765,c_224764,c_224763,c_224757,c_224756,c_224621,c_224585,c_224578,c_224575,c_224552,c_224531,c_224530,c_224529,c_224523,c_224522,c_224321,c_224227,c_224226,c_223979,c_223939,c_223864,c_223745,c_223322,c_223271,c_223261,c_223252,c_223251,c_223246,c_223231,c_222957,c_222374,c_222371,c_222359,c_222357,c_222349,c_222249,c_221154,c_221153,c_221151,c_221150,c_221113,c_220624,c_220615,c_220016,c_220015,c_220013,c_219998,c_219972,c_219970,c_219944,c_219943,c_219938,c_219937,c_219936,c_219924,c_219900,c_219893,c_219892,c_219882,c_219879,c_219872,c_219864,c_219863,c_219857,c_219855,c_219854,c_219851,c_219850,c_219849,c_219942,c_219844,c_219843,c_219839,c_219836,c_219835,c_219834,c_219307,c_219305,c_217174,c_217172,c_216892,c_216891,c_216890,c_216889,c_215582,c_215580,c_213861,c_210772,c_204365,c_203472,c_203471,c_202361,c_202355,c_202071,c_201468,c_258794,c_211698,c_235763,c_235762,c_224747,c_231217,c_278372,c_278333,c_232240,c_227383,c_231520,c_231519,c_231517,c_231502,c_234666,c_231497,c_261483,c_273435,c_233032,c_260085,c_231424,c_231423,c_245003,c_231415,c_273658,c_247817,c_275799,c_255864,c_277270,c_252260,c_255273,c_273301,c_232911,c_239318,c_245897,c_259916,c_272995,c_261034,c_231323,c_234672,c_231317,c_243074,c_244756,c_252270,c_231309,c_219852,c_231227,c_224760,c_247828,c_219891,c_219886,c_219885,c_205157,c_278123,c_278167,c_278342,c_278350,c_227692,c_278156,c_231477,c_224776,c_240636,c_232072,c_231926,c_229663,c_243948,c_243075,c_230843,c_258836,c_258722,c_255403,c_224545,c_210199,c_272096,c_245001,c_220923,c_220514,c_236331,c_241674,c_275549,c_275464,c_237248,c_231318,c_229935,c_239457,c_275713,c_237255,c_258348,c_226354,c_224968,c_257846,c_257777,c_224809,c_224779,c_224564,c_224773,c_228927,c_224762,c_224795,c_224790,c_224787,c_252534,c_253526,c_247103,c_246956,c_231413,c_231411,c_231375,c_231501,c_231341,c_231498,c_231325,c_220008,c_219973,c_248370,c_223967,c_223852,c_231376,c_230911,c_226216,c_275704,c_275701,c_242886,c_275691,c_275680,c_275679,c_275617,c_275616,c_275615,c_275613,c_275612,c_232356,c_275089,c_275083,c_275082,c_275814,c_275080,c_275079,c_275075,c_275041,c_275035,c_275033,c_275030,c_277285,c_275024,c_275021,c_275015,c_275014,c_275012,c_275011,c_275008,c_275005,c_275007,c_274998,c_274997,c_274996,c_274992,c_274986,c_231408,c_274961,c_274960,c_274959,c_274955,c_275023,c_274947,c_274939,c_260899,c_274908,c_274909,c_247933,c_274895,c_274892,c_274886,c_274885,c_274884,c_274883,c_258610,c_255989,c_274874,c_274873,c_274870,c_274860,c_274859,c_274854,c_231327,c_272026,c_272023,c_272022,c_272013,c_271606,c_273737,c_271502,c_275881,c_271465,c_271463,c_271460,c_271455,c_277356,c_237363,c_271438,c_271437,c_271433,c_276911,c_271425,c_271424,c_271418,c_271414,c_271413,c_276271,c_272358,c_272323,c_272315,c_272312,c_272306,c_272305,c_272304,c_272297,c_272295,c_272294,c_272290,c_272280,c_272275,c_250107,c_274740,c_274735,c_231450,c_274693,c_274688,c_277393,c_274670,c_274669,c_274666,c_274663,c_274665,c_274655,c_274645,c_231355,c_276336,c_224309,c_237205,c_216925,c_229960,c_221241,c_221190,c_221191,c_221895,c_275608,c_221787,c_234667,c_242207,c_233008,c_231203,c_231202,c_231201,c_231193,c_258254,c_258251,c_258250,c_260055,c_258239,c_258238,c_258237,c_258236,c_258235,c_258229,c_258227,c_276308,c_258114,c_258111,c_258110,c_260054,c_258099,c_258098,c_258097,c_258096,c_258095,c_258089,c_258087,c_276307,c_224151,c_224229,c_224228,c_272195,c_272149,c_272141,c_272132,c_272131,c_272127,c_272117,c_254733,c_254732,c_254730,c_254729,c_254725,c_254714,c_254693,c_255971,c_254905,c_254635,c_254634,c_260050,c_254623,c_254549,c_254532,c_254527,c_254519,c_254504,c_254467,c_254466,c_260015,c_254460,c_254459,c_254455,c_254309,c_254232,c_254231,c_254226,c_254225,c_254224,c_254220,c_254212,c_254177,c_254176,c_254175,c_255934,c_254157,c_254156,c_254155,c_254154,c_260008,c_254145,c_254140,c_254139,c_247753,c_247752,c_260007,c_247748,c_247747,c_247746,c_247742,c_247698,c_247693,c_247622,c_247617,c_247611,c_247610,c_247606,c_247605,c_247604,c_247600,c_247875,c_247559,c_247558,c_247557,c_255930,c_247539,c_247538,c_247537,c_247536,c_260000,c_247535,c_247528,c_247527,c_247523,c_247522,c_247519,c_247518,c_247517,c_247516,c_229967,c_258356,c_252210,c_226645,c_238450,c_274969,c_274968,c_229085,c_228207,c_236324,c_230139,c_224027,c_223746,c_238573,c_240889,c_227368,c_230686,c_227662,c_232237,c_238813,c_259966,c_254518,c_272027,c_243834,c_223710,c_223709,c_223697,c_229516,c_229315,c_254507,c_258232,c_258092,c_278161,c_226827,c_235237,c_250105,c_235227,c_235225,c_235202,c_235224,c_242220,c_235173,c_235913,c_248734,c_235167,c_235166,c_235164,c_238588,c_240904,c_235160,c_235175,c_248981,c_235156,c_235152,c_248872,c_276396,c_276366,c_276337,c_276335,c_276334,c_276332,c_276333,c_277770,c_276317,c_276276,c_276275,c_276274,c_276312,c_276273,c_276259,c_276170,c_276161,c_276143,c_276142,c_276141,c_276140,c_276133,c_276134,c_276125,c_276122,c_276106,c_276105,c_276165,c_276097,c_276096,c_276099,c_276098,c_276092,c_276085,c_276084,c_230974,c_224749,c_272298,c_241876,c_242112,c_241767,c_241759,c_273674,c_247830,c_275817,c_241749,c_241739,c_241737,c_241736,c_241735,c_241731,c_241720,c_241718,c_241715,c_255878,c_241704,c_241696,c_241695,c_241694,c_245910,c_276818,c_261050,c_241687,c_241686,c_241685,c_241684,c_241681,c_252285,c_258684,c_241678,c_241677,c_241676,c_247932,c_241659,c_241655,c_260898,c_241649,c_261482,c_241637,c_241636,c_255988,c_241626,c_254928,c_255397,c_273434,c_241624,c_241623,c_244331,c_224746,c_241618,c_241617,c_241616,c_260084,c_241609,c_241608,c_241607,c_241603,c_245002,c_241600,c_241599,c_242071,c_226217,c_217524,c_229975,c_241753,c_241713,c_276338,c_210771,c_275729,c_255404,c_274971,c_255269,c_275730,c_274972,c_271420,c_231200,c_251203,c_251202,c_251198,c_251197,c_251196,c_252554,c_251130,c_251129,c_251125,c_251124,c_251123,c_252551,c_247471,c_252072,c_247442,c_247438,c_247437,c_255909,c_247429,c_247428,c_259967,c_247418,c_247415,c_247414,c_247411,c_225004,c_230556,c_244318,c_231087,c_244260,c_244256,c_244255,c_244244,c_244238,c_244229,c_244228,c_275945,c_275935,c_275919,c_275916,c_275884,c_275915,c_271499,c_275843,c_275839,c_275836,c_275823,c_275845,c_275820,c_275816,c_275819,c_275812,c_275811,c_275810,c_275809,c_275804,c_275803,c_275798,c_277410,c_277394,c_277391,c_277359,c_277390,c_247540,c_277310,c_277309,c_277307,c_277294,c_277291,c_277287,c_277286,c_277289,c_277283,c_277279,c_277282,c_277278,c_277281,c_277280,c_277275,c_277269,c_259406,c_259403,c_259401,c_259398,c_231492,c_231407,c_231361,c_231406,c_231404,c_231405,c_231356,c_231353,c_259339,c_259338,c_259337,c_259329,c_231409,c_231495,c_231494,c_231491,c_231403,c_231401,c_231402,c_231400,c_259294,c_231352,c_259292,c_231350,c_259290,c_259325,c_231351,c_231410,c_231348,c_231345,c_231346,c_259232,c_231344,c_231371,c_231333,c_259181,c_259152,c_259126,c_231320,c_259124,c_231337,c_231336,c_276800,c_240591,c_248330,c_231312,c_231472,c_231437,c_231314,c_231311,c_258567,c_258594,c_231446,c_231462,c_258559,c_231439,c_258527,c_231313,c_231425,c_242072,c_231419,c_244203,c_244178,c_231456,c_235754,c_244709,c_241643,c_244319,c_274039,c_272318,c_272362,c_273990,c_272313,c_273963,c_244327,c_273946,c_223812,c_273930,c_273923,c_272278,c_256654,c_256609,c_256567,c_256551,c_256544,c_256535,c_261485,c_261470,c_261468,c_261441,c_261440,c_261467,c_261437,c_261432,c_261400,c_261399,c_261394,c_261387,c_261364,c_239116,c_239111,c_239094,c_239089,c_238997,c_238994,c_238976,c_224596,c_238951,c_238944,c_238943,c_238911,c_238890,c_238887,c_244841,c_238875,c_238873,c_238872,c_238865,c_238863,c_238862,c_273667,c_238856,c_238855,c_238853,c_247824,c_238852,c_238850,c_238849,c_238848,c_238846,c_238845,c_238844,c_238843,c_245828,c_238825,c_238824,c_238821,c_238820,c_238819,c_238818,c_238816,c_238811,c_238810,c_238809,c_238808,c_238807,c_238806,c_238805,c_238802,c_238800,c_238799,c_238794,c_238789,c_238788,c_238786,c_238783,c_255871,c_238782,c_238781,c_238780,c_238779,c_238778,c_238777,c_254811,c_255280,c_273310,c_228872,c_238774,c_238773,c_238771,c_238770,c_238769,c_238768,c_239325,c_240598,c_245904,c_238765,c_238762,c_238761,c_238760,c_238759,c_238758,c_238757,c_238756,c_238754,c_238752,c_238751,c_238750,c_238749,c_238748,c_238744,c_238743,c_238742,c_243081,c_244763,c_252277,c_238741,c_238740,c_237592,c_237441,c_237411,c_237409,c_247882,c_237389,c_260847,c_237379,c_237367,c_237365,c_237362,c_255938,c_237356,c_255342,c_273011,c_237353,c_237350,c_237348,c_239400,c_260017,c_237341,c_237340,c_237339,c_237335,c_244907,c_237331,c_242022,c_231493,c_237321,c_231489,c_237319,c_237318,c_237315,c_237308,c_273668,c_247825,c_237298,c_237296,c_237295,c_237294,c_237292,c_237291,c_237290,c_237289,c_245829,c_241757,c_237253,c_237251,c_237240,c_237235,c_237234,c_237232,c_237231,c_237229,c_255872,c_237228,c_237227,c_237226,c_237225,c_237223,c_254812,c_255281,c_273311,c_237222,c_237221,c_237220,c_237218,c_237215,c_237214,c_239326,c_245905,c_259926,c_273005,c_237210,c_237209,c_237197,c_237196,c_237195,c_237194,c_237354,c_243082,c_244764,c_252278,c_237187,c_237186,c_245271,c_221124,c_225021,c_226290,c_243101,c_244783,c_278046,c_278045,c_278044,c_278037,c_278036,c_278026,c_277783,c_277782,c_277781,c_277777,c_277774,c_277773,c_277772,c_277760,c_277712,c_277704,c_277703,c_277702,c_277693,c_277692,c_277689,c_277677,c_277658,c_277636,c_277635,c_277631,c_229769,c_229767,c_248983,c_248877,c_214937,c_217371,c_217289,c_223268,c_223288,c_254203,c_247584,c_217681,c_223291,c_223269,c_216510,c_223220,c_218273,c_234482,c_234245,c_223508,c_223167,c_223230,c_231028,c_234673,c_222345,c_223345,c_223333,c_232912,c_223240,c_223239,c_223238,c_223237,c_233005,c_223174,c_223169,c_203536,c_202354,c_274335,c_274330,c_274265,c_274259,c_274257,c_274255,c_274254,c_274238,c_274235,c_274234,c_274233,c_274225,c_274222,c_274211,c_274210,c_274209,c_274208,c_274374,c_274204,c_274203,c_274202,c_274201,c_274185,c_274184,c_261205,c_261189,c_261178,c_261146,c_261145,c_261144,c_261174,c_261143,c_261141,c_261056,c_261053,c_261049,c_261042,c_261045,c_261039,c_261033,c_273799,c_273789,c_273774,c_273772,c_273740,c_273771,c_271501,c_273696,c_273693,c_273680,c_273677,c_273673,c_273676,c_273670,c_273669,c_273663,c_273662,c_273657,c_214563,c_273578,c_273450,c_273440,c_273439,c_273437,c_273436,c_273428,c_273422,c_273421,c_273417,c_273414,c_273397,c_273399,c_273385,c_273384,c_273383,c_273413,c_273379,c_273352,c_273332,c_273329,c_273326,c_273323,c_273320,c_273313,c_273312,c_273306,c_273305,c_275766,c_275761,c_275759,c_275758,c_275757,c_275755,c_236232,c_236230,c_236229,c_236225,c_243319,c_245007,c_227508,c_227507,c_236068,c_247831,c_235967,c_255879,c_235948,c_239331,c_245911,c_259933,c_235940,c_235939,c_243088,c_244770,c_252286,c_235931,c_235928,c_247853,c_235923,c_220003,c_235921,c_235920,c_221416,c_228604,c_235916,c_235914,c_219997,c_235165,c_235910,c_235909,c_222102,c_226098,c_230511,c_235904,c_235903,c_260814,c_235899,c_235891,c_235890,c_235889,c_235888,c_235887,c_235885,c_235884,c_235883,c_225980,c_255902,c_235874,c_255320,c_219986,c_235871,c_235867,c_235866,c_235865,c_239356,c_240629,c_245937,c_259960,c_235859,c_235858,c_235856,c_235852,c_235851,c_219956,c_235847,c_235846,c_243145,c_244827,c_235844,c_235843,c_242004,c_245208,c_243426,c_235735,c_235729,c_235727,c_243320,c_245008,c_234904,c_234903,c_234898,c_239384,c_259996,c_234897,c_234896,c_234895,c_234892,c_244887,c_234886,c_232547,c_232543,c_232530,c_234765,c_232413,c_232410,c_231521,c_232380,c_231238,c_232369,c_232355,c_232324,c_232301,c_244843,c_232291,c_254843,c_255312,c_232286,c_234692,c_232283,c_232282,c_232281,c_232278,c_232276,c_232275,c_232273,c_238747,c_251490,c_232272,c_232271,c_232269,c_232268,c_232266,c_247826,c_232265,c_232264,c_232263,c_232262,c_232261,c_232260,c_232259,c_232258,c_245830,c_232249,c_232248,c_232245,c_232244,c_232243,c_232242,c_232234,c_232233,c_232230,c_232229,c_232228,c_232227,c_232224,c_232223,c_232219,c_232214,c_232213,c_232211,c_232210,c_232208,c_255873,c_232206,c_232205,c_232204,c_232203,c_232202,c_252324,c_255282,c_232199,c_232198,c_232196,c_232195,c_232194,c_232918,c_239327,c_240600,c_245906,c_259927,c_276812,c_273006,c_232191,c_232188,c_232187,c_232186,c_232183,c_232181,c_231503,c_234679,c_232180,c_232179,c_232178,c_232177,c_232176,c_232175,c_232280,c_232173,c_232172,c_232171,c_232170,c_232169,c_243083,c_244765,c_252279,c_232167,c_247901,c_232045,c_232044,c_255957,c_232997,c_239420,c_260037,c_232019,c_232018,c_244939,c_232010,c_247900,c_231899,c_231898,c_255956,c_232996,c_239419,c_260036,c_231873,c_231872,c_244938,c_231864,c_244206,c_274162,c_248905,c_244181,c_274142,c_247755,c_215098,c_273155,c_273108,c_273107,c_273106,c_273139,c_273034,c_273017,c_273014,c_273010,c_273013,c_273007,c_273000,c_272999,c_272994,c_260901,c_260886,c_254734,c_260878,c_260855,c_260883,c_260846,c_260829,c_260815,c_260812,c_260802,c_260796,c_260789,c_260779,c_232051,c_232043,c_271357,c_271327,c_271356,c_232034,c_271283,c_232020,c_242041,c_271267,c_232028,c_240693,c_232014,c_232013,c_231905,c_231897,c_259768,c_259739,c_259767,c_231888,c_259695,c_231874,c_242040,c_259679,c_231882,c_240692,c_231868,c_231867,c_272974,c_272969,c_272967,c_272966,c_272965,c_272963,c_214087,c_258341,c_258339,c_232512,c_244243,c_274113,c_274103,c_274102,c_271167,c_213105,c_213103,c_255611,c_255411,c_255405,c_257610,c_255400,c_255399,c_255392,c_255387,c_255386,c_255382,c_255383,c_255379,c_255375,c_255372,c_255364,c_255352,c_255351,c_255350,c_255378,c_255347,c_256906,c_255325,c_255321,c_255314,c_255310,c_255308,c_255302,c_255301,c_255299,c_255298,c_255297,c_255296,c_255293,c_255286,c_255283,c_255277,c_257710,c_255315,c_255272,c_255047,c_254942,c_254933,c_254931,c_254923,c_254917,c_254913,c_254910,c_254908,c_254895,c_254883,c_254881,c_254909,c_254852,c_254841,c_254839,c_254833,c_254830,c_254828,c_254827,c_254824,c_254821,c_254817,c_254814,c_254808,c_212652,c_212651,c_212650,c_212649,c_212648,c_212647,c_212646,c_212645,c_212644,c_212643,c_252556,c_252553,c_252500,c_252498,c_252499,c_252448,c_252479,c_252447,c_252407,c_252406,c_252346,c_252341,c_252337,c_252340,c_252339,c_252334,c_252331,c_253229,c_252333,c_252329,c_252327,c_257812,c_252325,c_252323,c_252321,c_252320,c_252322,c_252293,c_252284,c_252283,c_252280,c_252274,c_257667,c_252326,c_252269,c_259877,c_259872,c_259870,c_259869,c_259868,c_259866,c_212526,c_212525,c_212524,c_212523,c_212522,c_212521,c_212520,c_212518,c_212517,c_212513,c_212511,c_212509,c_212508,c_212507,c_212506,c_212505,c_212435,c_212434,c_212433,c_212432,c_212431,c_212430,c_212429,c_212428,c_212427,c_212426,c_252391,c_272018,c_230361,c_241644,c_227503,c_238869,c_258726,c_211071,c_211070,c_211069,c_211068,c_211067,c_211066,c_211065,c_211064,c_211063,c_211059,c_211057,c_211055,c_211054,c_211053,c_211052,c_211438,c_224961,c_223332,c_230750,c_230362,c_230360,c_230359,c_230358,c_230308,c_230307,c_230302,c_230301,c_230288,c_230285,c_230281,c_247833,c_245837,c_230671,c_231370,c_274373,c_236945,c_230214,c_230213,c_230206,c_255880,c_232923,c_239333,c_245913,c_248346,c_230180,c_230179,c_230171,c_230168,c_230166,c_230164,c_247854,c_230163,c_230162,c_230161,c_230160,c_230159,c_230158,c_230157,c_230156,c_230154,c_230153,c_230151,c_230150,c_230519,c_230149,c_230148,c_230147,c_230146,c_230144,c_230688,c_230143,c_230142,c_230141,c_230140,c_230137,c_230136,c_230134,c_230133,c_230132,c_230131,c_230130,c_230129,c_230128,c_230126,c_230125,c_230124,c_230121,c_255903,c_230120,c_230119,c_230118,c_230117,c_230116,c_230115,c_230113,c_230112,c_230109,c_230107,c_232944,c_239357,c_240630,c_245938,c_248371,c_259961,c_230106,c_230105,c_230104,c_230103,c_230102,c_230101,c_230100,c_230098,c_230099,c_234709,c_230096,c_230095,c_230094,c_230092,c_230090,c_230089,c_243146,c_244828,c_230087,c_230086,c_242005,c_224526,c_232304,c_240627,c_219961,c_229943,c_229942,c_229937,c_229936,c_229934,c_229931,c_229930,c_229929,c_229928,c_229925,c_229924,c_244806,c_229922,c_276963,c_270981,c_270980,c_270951,c_270876,c_270858,c_270857,c_230173,c_235933,c_270853,c_270833,c_270825,c_270819,c_270813,c_270781,c_270780,c_251576,c_270769,c_270752,c_270751,c_270739,c_270727,c_211852,c_257842,c_257829,c_257828,c_257826,c_257823,c_257822,c_257821,c_257814,c_257813,c_257790,c_257718,c_257700,c_257699,c_259920,c_229962,c_257677,c_257663,c_257659,c_257630,c_257629,c_257621,c_257618,c_257601,c_257600,c_260089,c_257590,c_257586,c_257579,c_257577,c_238724,c_257574,c_257496,c_257453,c_257436,c_257435,c_260073,c_257424,c_255993,c_255992,c_255991,c_255990,c_255983,c_257301,c_255981,c_255980,c_255978,c_255976,c_255974,c_255973,c_254637,c_255969,c_255967,c_255960,c_255961,c_255958,c_255959,c_255952,c_255950,c_255951,c_255946,c_255975,c_255945,c_255940,c_255939,c_256914,c_255936,c_254159,c_255935,c_255932,c_247541,c_255931,c_252528,c_255919,c_255917,c_255911,c_255905,c_255900,c_255899,c_255897,c_255891,c_255890,c_255884,c_255881,c_255877,c_255876,c_255874,c_256781,c_255868,c_255901,c_255862,c_255861,c_247469,c_252105,c_252103,c_225871,c_252064,c_252050,c_252048,c_222258,c_247889,c_222226,c_222223,c_232987,c_239408,c_230202,c_245992,c_235963,c_260025,c_276913,c_222201,c_222200,c_222194,c_222193,c_208052,c_228194,c_222894,c_224689,c_241326,c_224555,c_208051,c_225859,c_221032,c_236017,c_218383,c_224054,c_237022,c_235454,c_208360,c_235287,c_222236,c_220900,c_234454,c_220491,c_234217,c_208042,c_233833,c_222216,c_227302,c_248682,c_253355,c_222202,c_208032,c_208031,c_227747,c_238556,c_240872,c_208029,c_227351,c_227635,c_208024,c_209686,c_229954,c_254787,c_254782,c_254780,c_254779,c_254778,c_254776,c_229883,c_229875,c_229874,c_229873,c_229872,c_229792,c_229791,c_229784,c_229783,c_229782,c_229781,c_256641,c_256638,c_256639,c_257344,c_236063,c_257284,c_257283,c_260077,c_276970,c_257272,c_257266,c_257255,c_256957,c_256931,c_256897,c_256896,c_230221,c_260016,c_256885,c_256880,c_256876,c_256873,c_256853,c_256792,c_255941,c_256786,c_256784,c_251445,c_256764,c_256763,c_256762,c_256761,c_256760,c_256759,c_259924,c_276809,c_256740,c_256732,c_256721,c_256716,c_256715,c_254005,c_228668,c_253967,c_236062,c_253947,c_253946,c_260088,c_276982,c_253935,c_253929,c_253918,c_253541,c_253539,c_253535,c_253513,c_253503,c_253502,c_253490,c_253476,c_253474,c_253473,c_230195,c_235956,c_259984,c_276871,c_219947,c_253457,c_253456,c_253452,c_253451,c_253448,c_253445,c_231347,c_253426,c_253359,c_253340,c_253338,c_253337,c_253336,c_253335,c_259957,c_276843,c_253323,c_253320,c_253316,c_253315,c_253455,c_253310,c_253309,c_253307,c_253296,c_253291,c_253290,c_253278,c_276981,c_276971,c_276964,c_276952,c_276922,c_276920,c_276918,c_276914,c_276947,c_276875,c_252535,c_276872,c_276873,c_245935,c_276841,c_276824,c_276850,c_276817,c_276805,c_276799,c_260090,c_260087,c_260086,c_260078,c_260075,c_260074,c_260071,c_260065,c_260060,c_260058,c_260053,c_260052,c_260051,c_276844,c_260047,c_260044,c_260040,c_260041,c_260038,c_260039,c_260034,c_260032,c_260030,c_260031,c_260028,c_260027,c_260026,c_260056,c_260023,c_256782,c_260019,c_260018,c_248767,c_232029,c_260010,c_260011,c_260009,c_248766,c_231883,c_260002,c_260003,c_260001,c_253357,c_252449,c_252502,c_259985,c_259986,c_253341,c_235855,c_259955,c_259947,c_259946,c_259938,c_260048,c_259958,c_259930,c_259928,c_259921,c_259914,c_251679,c_251561,c_251623,c_261442,c_251577,c_251573,c_251572,c_251562,c_251560,c_251555,c_251553,c_251552,c_219868,c_251541,c_251527,c_251488,c_251486,c_240604,c_251474,c_251470,c_251463,c_219869,c_251413,c_251408,c_251406,c_251405,c_251404,c_251402,c_224350,c_224349,c_224348,c_224347,c_224343,c_253239,c_253237,c_251128,c_253180,c_226155,c_236064,c_253122,c_253121,c_253110,c_250419,c_250376,c_250356,c_250355,c_235949,c_250344,c_250343,c_248494,c_219883,c_235973,c_225972,c_235965,c_219880,c_248463,c_237164,c_228692,c_236000,c_248434,c_248435,c_219881,c_248432,c_235962,c_248430,c_248459,c_236009,c_235972,c_235970,c_248406,c_219878,c_219877,c_219876,c_248395,c_248393,c_235405,c_219932,c_248373,c_234714,c_248661,c_219865,c_219862,c_248352,c_248350,c_219870,c_235951,c_235950,c_235935,c_222334,c_226279,c_248328,c_235936,c_248326,c_248323,c_247935,c_250116,c_247934,c_247927,c_247925,c_247924,c_247922,c_247920,c_247918,c_247916,c_227511,c_227510,c_247911,c_247904,c_247905,c_247902,c_247903,c_247896,c_247894,c_247895,c_247890,c_247919,c_247885,c_247884,c_247883,c_247880,c_247881,c_247879,c_247877,c_247565,c_247876,c_247869,c_247867,c_247868,c_247861,c_247856,c_247855,c_248752,c_247850,c_247845,c_247843,c_247837,c_247834,c_248993,c_247827,c_248890,c_247815,c_247814,c_246048,c_250056,c_246040,c_246039,c_246035,c_246034,c_246023,c_246001,c_245998,c_245995,c_245994,c_245993,c_246020,c_245990,c_245980,c_245974,c_245958,c_245942,c_245940,c_245939,c_248662,c_245934,c_245927,c_245924,c_245923,c_245919,c_245917,c_245941,c_245914,c_248927,c_245907,c_248800,c_245936,c_246581,c_247791,c_247788,c_247787,c_247786,c_247785,c_247784,c_247783,c_247782,c_247781,c_247780,c_251039,c_251038,c_222375,c_226319,c_251035,c_251034,c_251033,c_251032,c_251031,c_251030,c_231373,c_250192,c_250191,c_250190,c_250186,c_250185,c_209711,c_250118,c_247906,c_250079,c_250078,c_250059,c_250058,c_250047,c_250041,c_247819,c_250039,c_250038,c_250036,c_246288,c_246281,c_246280,c_246279,c_246278,c_246276,c_246275,c_246274,c_246273,c_246272,c_246271,c_246264,c_223972,c_223971,c_223970,c_223965,c_243291,c_244976,c_223959,c_245853,c_245852,c_245850,c_245847,c_245844,c_248740,c_245831,c_209500,c_245330,c_245239,c_245212,c_245189,c_245182,c_245162,c_245130,c_245063,c_250862,c_245026,c_245025,c_245024,c_245023,c_245020,c_245019,c_245018,c_245017,c_245016,c_245015,c_245005,c_245004,c_245000,c_244999,c_244998,c_244996,c_244995,c_244990,c_244991,c_244989,c_244980,c_244979,c_244978,c_244977,c_244975,c_244972,c_244971,c_244970,c_244962,c_244958,c_244957,c_244956,c_244954,c_244951,c_244949,c_246474,c_246919,c_244948,c_244947,c_244946,c_244945,c_244942,c_244944,c_244943,c_244940,c_244941,c_244937,c_244936,c_244935,c_244934,c_244932,c_244933,c_244931,c_244930,c_244929,c_244928,c_244959,c_244914,c_244911,c_244910,c_244909,c_244908,c_244902,c_244903,c_244901,c_244896,c_244897,c_244895,c_244883,c_244882,c_244881,c_244879,c_244880,c_244877,c_244875,c_244874,c_244872,c_244850,c_244847,c_244846,c_244845,c_244844,c_244842,c_244840,c_244839,c_244838,c_244830,c_244829,c_244824,c_244820,c_244817,c_244814,c_244813,c_244812,c_244811,c_244810,c_248633,c_244805,c_244798,c_244795,c_244794,c_244793,c_244792,c_244790,c_244784,c_223743,c_244781,c_244778,c_244777,c_244776,c_244775,c_244833,c_244773,c_248909,c_244766,c_248771,c_244809,c_244758,c_244755,c_246553,c_246998,c_242917,c_242890,c_242871,c_235741,c_242773,c_242772,c_242771,c_242770,c_242767,c_242766,c_242765,c_242764,c_242763,c_242762,c_243769,c_242740,c_242739,c_242729,c_242728,c_242727,c_242725,c_242722,c_242721,c_242720,c_242712,c_242708,c_242706,c_242704,c_242698,c_242692,c_242693,c_243883,c_242691,c_242685,c_242683,c_242684,c_242681,c_242679,c_242709,c_242665,c_242653,c_242654,c_242652,c_242647,c_242648,c_242646,c_242641,c_242640,c_242639,c_242637,c_242636,c_242635,c_242630,c_242628,c_242627,c_242626,c_242624,c_242603,c_242598,c_242595,c_242593,c_242592,c_242583,c_242582,c_242577,c_242570,c_242566,c_242565,c_242564,c_242563,c_242558,c_242546,c_242545,c_242537,c_242534,c_242531,c_242530,c_242529,c_242526,c_242519,c_242508,c_244737,c_244734,c_244733,c_244732,c_244731,c_244730,c_244729,c_244728,c_244727,c_244726,c_250871,c_250870,c_222372,c_226315,c_250867,c_250866,c_250865,c_250864,c_250863,c_244259,c_250671,c_250670,c_250669,c_250668,c_250667,c_250666,c_250665,c_250664,c_250663,c_250662,c_250659,c_250654,c_250653,c_250652,c_250595,c_250594,c_229869,c_250590,c_250589,c_250588,c_250486,c_250485,c_229778,c_250481,c_250480,c_250479,c_208828,c_248970,c_237323,c_248958,c_248957,c_248949,c_248945,c_248939,c_248930,c_248929,c_248918,c_248917,c_248912,c_248911,c_248910,c_248907,c_211585,c_248902,c_248899,c_248889,c_248886,c_248873,c_235172,c_248860,c_248976,c_248850,c_248841,c_248839,c_248834,c_248832,c_248831,c_247852,c_248824,c_248823,c_248813,c_248913,c_248804,c_248803,c_248802,c_230175,c_248789,c_248788,c_248786,c_259962,c_248780,c_248779,c_248932,c_248774,c_248931,c_248772,c_248769,c_248764,c_248762,c_248761,c_247857,c_231338,c_248751,c_248749,c_248748,c_248747,c_248743,c_248742,c_248735,c_248732,c_248731,c_248725,c_248724,c_248723,c_248722,c_248719,c_248717,c_248716,c_248738,c_248712,c_248706,c_248704,c_248703,c_223205,c_248696,c_248694,c_248693,c_248692,c_248691,c_248690,c_247603,c_247613,c_248687,c_248686,c_248685,c_248684,c_248681,c_248679,c_248736,c_248677,c_248676,c_248675,c_248668,c_248667,c_248666,c_248665,c_248664,c_248663,c_248660,c_248659,c_248657,c_248656,c_248650,c_248648,c_248647,c_248646,c_248643,c_248642,c_248641,c_248637,c_248636,c_248635,c_248634,c_248631,c_247156,c_247155,c_247154,c_247141,c_247140,c_247065,c_247056,c_247029,c_247028,c_230176,c_247012,c_247007,c_247006,c_247003,c_247002,c_247001,c_247000,c_246996,c_246977,c_246965,c_246964,c_246963,c_247136,c_246937,c_246936,c_246927,c_246923,c_246917,c_223166,c_246724,c_246723,c_229964,c_232185,c_246704,c_276848,c_232942,c_246698,c_246695,c_246693,c_246692,c_223334,c_246681,c_229993,c_229992,c_246671,c_246670,c_246667,c_246666,c_223850,c_229991,c_232279,c_246611,c_246594,c_246591,c_246586,c_246585,c_246584,c_246583,c_246582,c_231460,c_246567,c_232948,c_246561,c_246558,c_246557,c_246556,c_246555,c_246554,c_246551,c_246532,c_229988,c_246522,c_246519,c_246501,c_246498,c_223336,c_246492,c_232277,c_246482,c_231496,c_246472,c_246377,c_246376,c_246371,c_246370,c_246366,c_243497,c_247031,c_243433,c_243430,c_235739,c_243338,c_243335,c_243331,c_243318,c_243310,c_243768,c_243295,c_243294,c_243293,c_243292,c_243290,c_243285,c_243277,c_243273,c_243271,c_243253,c_243252,c_243251,c_243250,c_243248,c_243249,c_243246,c_243245,c_243244,c_243274,c_243230,c_243199,c_243198,c_243197,c_243195,c_243196,c_243193,c_243191,c_243189,c_243168,c_243165,c_243158,c_243157,c_243156,c_243148,c_243147,c_243142,c_243138,c_243135,c_243132,c_243131,c_243130,c_243129,c_243128,c_243123,c_243116,c_243111,c_243110,c_243108,c_243102,c_243096,c_243095,c_243094,c_243151,c_243091,c_243084,c_243127,c_243076,c_243073,c_242124,c_242117,c_243708,c_242102,c_242100,c_242099,c_244292,c_242074,c_227764,c_242057,c_242056,c_242054,c_242044,c_242042,c_242034,c_242035,c_242032,c_242030,c_242055,c_242023,c_242019,c_242016,c_242010,c_243575,c_242009,c_242058,c_237351,c_241996,c_241994,c_240606,c_241978,c_244711,c_236231,c_240994,c_240993,c_240979,c_240978,c_240977,c_240967,c_240966,c_240965,c_223335,c_240950,c_240949,c_240940,c_240939,c_240921,c_240920,c_240919,c_240918,c_240917,c_240916,c_240915,c_240914,c_240913,c_240912,c_240911,c_240910,c_240909,c_240908,c_240907,c_240905,c_240903,c_240902,c_240901,c_240900,c_240899,c_240898,c_240897,c_240896,c_240895,c_240894,c_240893,c_240892,c_240891,c_240890,c_240888,c_240887,c_240886,c_240885,c_240884,c_240883,c_240881,c_240880,c_240879,c_240878,c_240876,c_240874,c_240871,c_240870,c_240869,c_240868,c_240867,c_240866,c_240865,c_240864,c_240863,c_240862,c_240859,c_240858,c_240857,c_240856,c_240855,c_240853,c_240852,c_240851,c_240850,c_240849,c_240848,c_240847,c_240845,c_240846,c_240844,c_240842,c_240841,c_240840,c_240838,c_240837,c_240836,c_240835,c_240834,c_241494,c_241394,c_230220,c_240728,c_230241,c_230231,c_230204,c_240719,c_240711,c_245928,c_240701,c_230228,c_230229,c_230226,c_230227,c_240696,c_230225,c_240694,c_230237,c_240686,c_240687,c_240684,c_230201,c_240682,c_240708,c_230224,c_230223,c_230222,c_240674,c_235715,c_230210,c_230211,c_240667,c_235698,c_230208,c_230209,c_240661,c_240659,c_240658,c_230200,c_230199,c_230198,c_240647,c_240643,c_240644,c_227773,c_230217,c_240635,c_230181,c_240612,c_240610,c_230178,c_230177,c_234123,c_240587,c_230114,c_240586,c_241930,c_241927,c_241926,c_241925,c_241924,c_241923,c_241922,c_241921,c_241920,c_241919,c_238696,c_238687,c_238686,c_238685,c_238671,c_238670,c_238669,c_238657,c_238656,c_238655,c_238654,c_238645,c_238635,c_238634,c_238633,c_238621,c_238620,c_238619,c_238604,c_238603,c_238602,c_238601,c_238600,c_238599,c_238598,c_238597,c_238596,c_238595,c_238594,c_238593,c_238592,c_238591,c_238589,c_238587,c_238586,c_238585,c_238584,c_238583,c_238582,c_238581,c_238580,c_238579,c_238578,c_238577,c_238576,c_238575,c_238574,c_238572,c_238571,c_238570,c_238565,c_238564,c_238563,c_238562,c_238560,c_238559,c_238558,c_238555,c_238554,c_238553,c_238552,c_238551,c_238550,c_238549,c_238543,c_238542,c_238541,c_238540,c_239343,c_238539,c_238538,c_238537,c_238536,c_238535,c_238534,c_238533,c_238531,c_238532,c_238530,c_238527,c_238526,c_238525,c_238524,c_238523,c_238522,c_238521,c_238520,c_238519,c_238518,c_241360,c_241358,c_208046,c_241319,c_241310,c_241309,c_241305,c_219777,c_219775,c_219774,c_237163,c_208371,c_241738,c_241242,c_241241,c_241232,c_241231,c_241227,c_237224,c_241139,c_241138,c_241130,c_241129,c_241128,c_241124,c_241123,c_241119,c_241049,c_241040,c_241039,c_241031,c_241030,c_241029,c_241026,c_241025,c_241024,c_241023,c_241022,c_242238,c_242235,c_242233,c_242232,c_242231,c_242229,c_242227,c_242226,c_242221,c_242213,c_242212,c_242211,c_242195,c_242193,c_242192,c_242189,c_242188,c_242186,c_242181,c_242178,c_242177,c_242176,c_236238,c_242165,c_242164,c_242163,c_242162,c_242161,c_242160,c_242159,c_242158,c_242156,c_238112,c_238106,c_238099,c_238096,c_238095,c_238092,c_238064,c_238060,c_238056,c_238054,c_238053,c_238051,c_238050,c_238043,c_238042,c_238041,c_239353,c_238033,c_238032,c_238030,c_238029,c_238026,c_238025,c_238020,c_238019,c_238017,c_239241,c_239238,c_239237,c_239236,c_239235,c_239234,c_239233,c_239232,c_239231,c_239230,c_219748,c_219747,c_219746,c_219745,c_219744,c_219729,c_219695,c_219694,c_219693,c_219667,c_219666,c_219665,c_219664,c_219663,c_219648,c_210959,c_218689,c_218688,c_218617,c_218680,c_218679,c_218678,c_218677,c_218664,c_235681,c_235070,c_237138,c_237142,c_237111,c_237916,c_237913,c_237910,c_237907,c_237904,c_237901,c_237898,c_237895,c_237892,c_237889,c_237886,c_237883,c_237880,c_237877,c_237874,c_237871,c_237868,c_237865,c_237862,c_237859,c_237856,c_237853,c_237850,c_237847,c_237844,c_237841,c_237838,c_237835,c_237832,c_237829,c_237824,c_237823,c_237822,c_237821,c_237820,c_237819,c_237818,c_237817,c_237816,c_237815,c_237814,c_237813,c_237812,c_237811,c_237810,c_237809,c_237808,c_237807,c_237806,c_237805,c_237804,c_237803,c_237802,c_237801,c_237800,c_237799,c_237798,c_237797,c_237796,c_237795,c_237794,c_237793,c_237792,c_237791,c_237790,c_248960,c_237780,c_237779,c_237778,c_237777,c_237776,c_237775,c_237774,c_237773,c_210957,c_218660,c_218659,c_218571,c_218651,c_218650,c_218649,c_218648,c_218635,c_218602,c_218601,c_218600,c_218599,c_218598,c_218583,c_237064,c_237032,c_237026,c_237025,c_237024,c_237021,c_237010,c_237009,c_237007,c_239421,c_237000,c_236999,c_236998,c_236994,c_236993,c_236991,c_236990,c_235496,c_235464,c_235458,c_235457,c_235456,c_235453,c_235442,c_235441,c_235440,c_235439,c_239414,c_235432,c_235431,c_235430,c_235427,c_235426,c_235425,c_235424,c_235423,c_235422,c_235419,c_236962,c_236940,c_236952,c_236899,c_236892,c_236890,c_236889,c_236888,c_236887,c_236884,c_236829,c_236828,c_236827,c_236822,c_236820,c_236819,c_236818,c_236817,c_236814,c_236800,c_236799,c_236798,c_236797,c_236796,c_236795,c_236794,c_236793,c_218556,c_218555,c_218554,c_218553,c_218552,c_218537,c_217790,c_217785,c_217784,c_217783,c_217773,c_217748,c_217747,c_217744,c_221872,c_241505,c_241496,c_241495,c_241487,c_241486,c_241485,c_241482,c_241481,c_240624,c_221764,c_241405,c_241396,c_241395,c_241387,c_241386,c_241385,c_241382,c_241381,c_240623,c_234968,c_234967,c_234966,c_234965,c_234963,c_234954,c_234946,c_234943,c_234942,c_234940,c_235329,c_235297,c_235292,c_235291,c_235290,c_235289,c_234962,c_235286,c_235275,c_235274,c_235272,c_239401,c_235271,c_234961,c_235265,c_235264,c_235263,c_235259,c_235258,c_235256,c_235255,c_234156,c_223233,c_239459,c_239458,c_239456,c_239455,c_244098,c_239454,c_243786,c_239452,c_239453,c_239451,c_239450,c_239449,c_239448,c_239447,c_239446,c_239445,c_239444,c_239443,c_239442,c_239441,c_239440,c_239439,c_239438,c_255390,c_239437,c_239436,c_239434,c_239432,c_238877,c_239429,c_239427,c_239426,c_239425,c_239422,c_239424,c_239423,c_243900,c_239418,c_239417,c_239416,c_239415,c_239413,c_239412,c_239411,c_239410,c_239409,c_239435,c_239406,c_239404,c_239403,c_239402,c_239399,c_239398,c_239397,c_239395,c_239396,c_239394,c_239393,c_239392,c_239391,c_239389,c_239390,c_239388,c_232290,c_232289,c_239380,c_239379,c_239378,c_239376,c_239377,c_239375,c_243601,c_239374,c_239373,c_239372,c_239370,c_239369,c_239371,c_239368,c_243973,c_239360,c_219949,c_239352,c_239351,c_239350,c_239349,c_239348,c_239346,c_239344,c_239342,c_239339,c_239338,c_239337,c_239336,c_239359,c_239334,c_239328,c_239355,c_239320,c_239317,c_239428,c_232011,c_231865,c_235087,c_235086,c_235085,c_235084,c_235083,c_235082,c_235081,c_235080,c_234740,c_234727,c_234726,c_234718,c_234716,c_234711,c_234696,c_234688,c_234687,c_223175,c_234684,c_234680,c_234693,c_234674,c_236367,c_234669,c_234668,c_234493,c_234492,c_234464,c_234459,c_234458,c_234457,c_234456,c_234455,c_234453,c_234443,c_234442,c_234441,c_234439,c_234437,c_234435,c_234434,c_234433,c_234432,c_234431,c_234430,c_234429,c_234426,c_234425,c_234423,c_234422,c_229790,c_207331,c_234256,c_234255,c_234227,c_234222,c_234221,c_234220,c_234219,c_234218,c_234216,c_234206,c_234205,c_234204,c_234202,c_234201,c_234200,c_234198,c_234197,c_234196,c_234195,c_234194,c_234193,c_234192,c_234189,c_234188,c_234186,c_234185,c_233881,c_233880,c_233879,c_233878,c_233877,c_233875,c_210779,c_233848,c_233847,c_233843,c_233838,c_233837,c_233836,c_233835,c_233834,c_233832,c_233822,c_233821,c_233820,c_233819,c_233818,c_233817,c_233816,c_233815,c_233814,c_233813,c_233811,c_233810,c_233808,c_233807,c_233806,c_233805,c_233804,c_233802,c_233801,c_233800,c_233799,c_233798,c_233797,c_233796,c_233793,c_233035,c_233034,c_233033,c_233031,c_244099,c_233029,c_243787,c_233027,c_233028,c_233026,c_233025,c_233024,c_233023,c_233022,c_233021,c_233020,c_233019,c_233018,c_233017,c_233016,c_233015,c_233014,c_233013,c_271200,c_233012,c_233011,c_233009,c_233007,c_233006,c_236296,c_233004,c_233003,c_233002,c_233001,c_232998,c_233000,c_232999,c_243901,c_232995,c_232994,c_232993,c_232992,c_238403,c_232991,c_232990,c_232989,c_232988,c_233010,c_232985,c_232984,c_232983,c_232982,c_232981,c_232980,c_232979,c_232978,c_232976,c_232977,c_232975,c_232974,c_232973,c_232971,c_232972,c_232970,c_232969,c_232968,c_232967,c_232966,c_232965,c_232964,c_232963,c_232962,c_232960,c_232961,c_232959,c_243602,c_232958,c_232957,c_232955,c_232954,c_232956,c_232953,c_243974,c_232947,c_232945,c_232941,c_232940,c_232939,c_232938,c_232937,c_232936,c_232935,c_232933,c_232931,c_217151,c_232929,c_232928,c_232927,c_232926,c_232946,c_232924,c_232919,c_232943,c_232913,c_236381,c_232910,c_232909,c_232908,c_232906,c_232907,c_232883,c_232882,c_232881,c_232880,c_232879,c_232878,c_232877,c_232876,c_216593,c_216592,c_216032,c_216017,c_216000,c_215999,c_215997,c_215963,c_215962,c_244094,c_244093,c_244089,c_244012,c_251619,c_243969,c_243968,c_243967,c_243964,c_243926,c_243920,c_243903,c_243891,c_243890,c_243886,c_243880,c_243870,c_243806,c_243795,c_238091,c_243777,c_243776,c_243772,c_243771,c_243766,c_243762,c_238342,c_238341,c_238337,c_231448,c_224742,c_241635,c_230752,c_224067,c_230742,c_230741,c_230732,c_230714,c_230712,c_230682,c_230681,c_230679,c_223775,c_230542,c_230502,c_230482,c_230481,c_230480,c_230479,c_230478,c_230477,c_230476,c_230475,c_215527,c_215522,c_215509,c_215496,c_215495,c_243721,c_243681,c_243677,c_243676,c_243672,c_243667,c_243628,c_243622,c_243621,c_243607,c_243604,c_243603,c_243594,c_243593,c_243591,c_243589,c_243587,c_243586,c_243583,c_243581,c_243577,c_243576,c_243571,c_238494,c_238462,c_238428,c_238422,c_238420,c_238405,c_238404,c_238396,c_238395,c_238394,c_238390,c_238389,c_238387,c_238386,c_238384,c_238383,c_238374,c_238364,c_230867,c_230855,c_230822,c_230816,c_230799,c_230790,c_230789,c_230782,c_230781,c_230779,c_230778,c_230572,c_230563,c_230561,c_230557,c_230543,c_230560,c_230513,c_230512,c_230510,c_230506,c_230521,c_230499,c_230488,c_224777,c_224543,c_228893,c_228877,c_228890,c_206216,c_236604,c_236501,c_236497,c_236496,c_236494,c_236492,c_236486,c_236485,c_236483,c_236482,c_223328,c_236478,c_236472,c_223326,c_236465,c_236464,c_236463,c_223320,c_236460,c_223319,c_223318,c_227380,c_223293,c_223324,c_236415,c_223317,c_223316,c_236382,c_236380,c_236379,c_236377,c_236376,c_236372,c_236371,c_236370,c_236368,c_236364,c_236363,c_236362,c_236361,c_236358,c_236356,c_236354,c_236353,c_223321,c_236325,c_236322,c_236310,c_236304,c_223256,c_236301,c_236299,c_236290,c_236289,c_236285,c_236284,c_236281,c_228575,c_228574,c_228573,c_228572,c_228571,c_228570,c_228569,c_228568,c_247152,c_247151,c_230761,c_230760,c_229686,c_229642,c_229636,c_229625,c_229619,c_229610,c_229609,c_229605,c_229601,c_238230,c_238229,c_238228,c_225882,c_224561,c_224556,c_224566,c_224553,c_224775,c_224539,c_228857,c_228856,c_228851,c_228850,c_229505,c_228825,c_228823,c_228796,c_228795,c_228793,c_222245,c_228783,c_228772,c_228765,c_228759,c_228757,c_228731,c_228703,c_228701,c_222253,c_228691,c_228676,c_228669,c_228665,c_228662,c_228660,c_229521,c_228633,c_228611,c_228606,c_228605,c_228603,c_222255,c_228593,c_225956,c_225955,c_225954,c_225953,c_225952,c_225951,c_225950,c_225949,c_225699,c_225698,c_225697,c_225693,c_225673,c_225672,c_225671,c_225667,c_225624,c_225623,c_225622,c_225619,c_225618,c_225617,c_226457,c_225611,c_225476,c_225470,c_225469,c_225460,c_225457,c_225454,c_225446,c_225445,c_225444,c_225440,c_225437,c_225426,c_225425,c_225424,c_225422,c_225421,c_225419,c_225417,c_225416,c_225415,c_225412,c_225411,c_226311,c_225408,c_225406,c_225405,c_226156,c_227901,c_226152,c_228217,c_229511,c_226126,c_226100,c_226099,c_227774,c_227672,c_226450,c_228166,c_229456,c_225620,c_226433,c_227538,c_226399,c_226397,c_226335,c_228148,c_226330,c_226329,c_226320,c_223968,c_226296,c_226293,c_226291,c_226285,c_226284,c_222209,c_227595,c_226234,c_223871,c_226205,c_226203,c_226176,c_227769,c_222246,c_227667,c_210512,c_224676,c_224675,c_224670,c_224643,c_224642,c_224641,c_224640,c_224639,c_224638,c_224637,c_224636,c_206825,c_208213,c_208212,c_208211,c_214946,c_213870,c_226840,c_222958,c_227694,c_208206,c_209715,c_224313,c_224312,c_224308,c_224307,c_225159,c_224301,c_224271,c_224270,c_224265,c_224224,c_224223,c_224222,c_224221,c_224220,c_224216,c_224197,c_224196,c_224191,c_228196,c_229487,c_229286,c_226008,c_225987,c_225981,c_227749,c_222232,c_227637,c_225177,c_228167,c_225171,c_225166,c_225165,c_225161,c_229457,c_225160,c_225154,c_225153,c_225152,c_226593,c_225144,c_225143,c_227539,c_225137,c_225131,c_225130,c_225129,c_229256,c_225128,c_225127,c_225126,c_225125,c_229026,c_225114,c_225105,c_225106,c_225101,c_225102,c_225090,c_225089,c_225088,c_225086,c_225087,c_226762,c_225085,c_225084,c_227696,c_225065,c_228149,c_225060,c_225059,c_225058,c_225041,c_225040,c_225038,c_225037,c_225036,c_225034,c_225032,c_225029,c_225028,c_225027,c_227714,c_225024,c_225022,c_225016,c_225015,c_225014,c_225013,c_225053,c_227323,c_227596,c_225039,c_224144,c_224143,c_224142,c_224141,c_224140,c_224139,c_224137,c_224132,c_224131,c_206521,c_205165,c_205163,c_205162,c_205161,c_205160,c_205159,c_205154,c_205152,c_205151,c_206675,c_228213,c_224071,c_226015,c_226636,c_224068,c_223773,c_224056,c_224055,c_229076,c_224053,c_224029,c_224028,c_227770,c_223741,c_224023,c_224035,c_227668,c_223909,c_223908,c_223907,c_223906,c_223905,c_223904,c_223903,c_223902,c_229729,c_229728,c_229724,c_229721,c_229720,c_229719,c_229718,c_229717,c_229716,c_229713,c_229712,c_229710,c_229708,c_229707,c_229706,c_229703,c_224966,c_236313,c_258828,c_237301,c_237211,c_237208,c_235755,c_223194,c_226021,c_237373,c_224965,c_228332,c_228231,c_228230,c_228229,c_228228,c_228227,c_228226,c_228225,c_228224,c_228223,c_228221,c_228220,c_228219,c_228218,c_228216,c_228215,c_228214,c_228211,c_228210,c_228209,c_228208,c_228204,c_228203,c_228202,c_228201,c_228200,c_228199,c_228198,c_228197,c_228195,c_228193,c_228192,c_228191,c_228190,c_228189,c_228188,c_228187,c_228186,c_228185,c_228183,c_228182,c_228181,c_228180,c_228179,c_228178,c_228177,c_228176,c_228174,c_228173,c_228172,c_228171,c_228170,c_228169,c_228168,c_228164,c_228161,c_228159,c_228158,c_228157,c_228156,c_228155,c_228154,c_228153,c_228151,c_228150,c_223375,c_247816,c_236390,c_254803,c_273300,c_223300,c_223304,c_223307,c_255863,c_236383,c_259915,c_223264,c_223257,c_236298,c_236407,c_223280,c_223275,c_223272,c_223234,c_239319,c_272025,c_223207,c_244332,c_271737,c_223244,c_227902,c_238746,c_226460,c_244267,c_223188,c_271770,c_273105,c_223235,c_223182,c_271771,c_244338,c_223171,c_244230,c_239430,c_248995,c_244221,c_248950,c_271034,c_237190,c_224528,c_242002,c_244231,c_223931,c_223930,c_223927,c_223926,c_223925,c_223919,c_223145,c_223144,c_223139,c_223105,c_223104,c_223103,c_223102,c_223098,c_222940,c_222939,c_222938,c_222937,c_222932,c_222928,c_222907,c_222903,c_222898,c_222897,c_222896,c_222895,c_222893,c_222887,c_222883,c_222882,c_222881,c_222879,c_222878,c_222877,c_222876,c_222875,c_222874,c_222873,c_222872,c_222871,c_222936,c_222866,c_222865,c_222864,c_222862,c_222861,c_222652,c_223236,c_222491,c_222490,c_222488,c_223810,c_222484,c_224396,c_219979,c_229458,c_222480,c_222479,c_222478,c_222477,c_226548,c_254934,c_222470,c_226843,c_222469,c_222468,c_227540,c_225926,c_222465,c_222464,c_229257,c_222455,c_222453,c_222447,c_225801,c_222431,c_222432,c_225719,c_222427,c_222428,c_222422,c_222421,c_222420,c_222419,c_222418,c_227697,c_222404,c_222406,c_229241,c_227306,c_222389,c_222387,c_222386,c_222385,c_222376,c_222373,c_222370,c_222369,c_222368,c_222362,c_222361,c_222360,c_222358,c_222351,c_222350,c_227715,c_219530,c_222347,c_222346,c_222343,c_222340,c_222339,c_222210,c_227597,c_222325,c_222186,c_222185,c_222184,c_222183,c_222182,c_222181,c_222180,c_222179,c_222178,c_222177,c_222176,c_222175,c_222174,c_222173,c_222172,c_222171,c_222170,c_222169,c_222168,c_222167,c_222166,c_222165,c_222164,c_222163,c_222162,c_229074,c_226641,c_222130,c_229081,c_222104,c_222103,c_227775,c_222098,c_222110,c_227673,c_222108,c_221993,c_221992,c_221991,c_221990,c_221989,c_221988,c_221987,c_208195,c_208013,c_221708,c_224969,c_221606,c_219566,c_221669,c_227547,c_225933,c_219555,c_219554,c_224750,c_219543,c_219542,c_227704,c_219540,c_227313,c_219533,c_219531,c_227341,c_227625,c_207519,c_207510,c_207500,c_207492,c_207491,c_207490,c_207489,c_207488,c_207487,c_207486,c_231027,c_231026,c_219553,c_231004,c_230973,c_230972,c_230971,c_224532,c_224748,c_226223,c_223858,c_230931,c_230925,c_230924,c_230914,c_230908,c_230899,c_230898,c_226177,c_230890,c_224967,c_224766,c_229096,c_229093,c_229091,c_229084,c_229082,c_222131,c_229070,c_229064,c_229063,c_229062,c_229061,c_229060,c_229058,c_229057,c_229047,c_229041,c_229040,c_229032,c_229031,c_276915,c_229028,c_229024,c_229023,c_229527,c_229090,c_229086,c_229080,c_226028,c_222145,c_229501,c_229056,c_226002,c_226001,c_226000,c_225999,c_229489,c_229488,c_229478,c_229027,c_229025,c_229464,c_229463,c_229462,c_246603,c_229459,c_225982,c_229454,c_221462,c_226649,c_221443,c_221442,c_221423,c_221418,c_221417,c_227783,c_221412,c_221424,c_227387,c_227685,c_221422,c_224456,c_221258,c_221254,c_226595,c_221662,c_227541,c_221230,c_221229,c_221228,c_221227,c_221217,c_226764,c_227698,c_221169,c_221165,c_221164,c_221163,c_221155,c_221148,c_221144,c_221130,c_221127,c_221125,c_221119,c_221118,c_221117,c_221116,c_221158,c_227325,c_227598,c_221146,c_216243,c_216515,c_226651,c_216232,c_216231,c_220341,c_216210,c_216209,c_227785,c_216205,c_216215,c_227389,c_227687,c_216214,c_219216,c_225873,c_221045,c_219214,c_219204,c_219203,c_219181,c_227765,c_219187,c_219186,c_207406,c_207405,c_207404,c_207403,c_207402,c_207401,c_207400,c_226579,c_226578,c_226577,c_226895,c_226857,c_226848,c_226847,c_222407,c_226805,c_226799,c_226798,c_226784,c_226781,c_226780,c_226774,c_226773,c_226771,c_226770,c_226768,c_226767,c_276876,c_226760,c_226759,c_226755,c_226553,c_226552,c_222474,c_229356,c_228762,c_226797,c_229288,c_229287,c_221457,c_226763,c_226761,c_229263,c_229262,c_229261,c_246661,c_228704,c_229253,c_229246,c_229245,c_229244,c_229236,c_220727,c_220676,c_220675,c_223831,c_220674,c_220671,c_226609,c_225852,c_221025,c_220670,c_220669,c_220668,c_220667,c_220665,c_220664,c_220663,c_220661,c_220660,c_220659,c_220658,c_220656,c_220654,c_221865,c_221757,c_220651,c_220625,c_227740,c_220622,c_220619,c_220641,c_227344,c_227628,c_220638,c_220344,c_220340,c_220339,c_220337,c_220319,c_220318,c_220317,c_220316,c_220313,c_220311,c_220307,c_220305,c_220304,c_220294,c_220293,c_220292,c_220291,c_220290,c_220289,c_220288,c_204339,c_204337,c_252164,c_219359,c_219349,c_219995,c_219348,c_235926,c_220005,c_219344,c_219343,c_219342,c_219341,c_219340,c_219339,c_219338,c_219337,c_219334,c_219333,c_219332,c_219330,c_219977,c_219978,c_219975,c_219976,c_219326,c_219317,c_219308,c_219306,c_219304,c_219303,c_219302,c_219301,c_219300,c_219299,c_219298,c_219297,c_219295,c_219316,c_219313,c_219121,c_219117,c_226602,c_219098,c_219095,c_219094,c_220886,c_220478,c_219076,c_219077,c_219058,c_219057,c_227732,c_219051,c_219065,c_227337,c_227620,c_219064,c_220860,c_220859,c_220858,c_220857,c_220856,c_220855,c_220854,c_206860,c_206847,c_206837,c_226653,c_226644,c_226642,c_222129,c_226626,c_226625,c_226624,c_226623,c_226622,c_226620,c_226619,c_221441,c_216230,c_226603,c_226599,c_219093,c_276910,c_226591,c_226590,c_219498,c_219497,c_219496,c_218186,c_218175,c_218174,c_218173,c_218153,c_218152,c_218148,c_218158,c_227680,c_218157,c_218832,c_218830,c_223825,c_218829,c_218828,c_225846,c_221019,c_218817,c_218814,c_218813,c_218812,c_218810,c_218809,c_218806,c_218805,c_218804,c_218801,c_218800,c_218799,c_222493,c_219495,c_221859,c_220887,c_222492,c_221751,c_220479,c_218787,c_218788,c_218784,c_227733,c_218762,c_218776,c_227338,c_227621,c_218757,c_218775,c_218754,c_218750,c_224457,c_217638,c_218502,c_216981,c_216978,c_216977,c_216976,c_216969,c_221663,c_216968,c_216965,c_216964,c_218227,c_216963,c_216962,c_216961,c_216960,c_216950,c_216931,c_216930,c_216929,c_216927,c_216928,c_216926,c_216905,c_212514,c_211060,c_216899,c_216887,c_216883,c_216874,c_216865,c_216859,c_216858,c_216857,c_216856,c_216894,c_246471,c_216885,c_217300,c_217204,c_217203,c_217202,c_217201,c_205822,c_205811,c_205800,c_205799,c_205798,c_205797,c_205796,c_205795,c_205794,c_205786,c_205785,c_205777,c_205769,c_205761,c_205643,c_205631,c_205588,c_205587,c_205563,c_205542,c_205541,c_205540,c_205538,c_205537,c_205536,c_205535,c_205534,c_205533,c_205532,c_205530,c_205527,c_205526,c_205528,c_205524,c_205523,c_205522,c_205521,c_205520,c_205517,c_205516,c_205514,c_205501,c_205508,c_205507,c_205506,c_205505,c_205504,c_205503,c_205502,c_205499,c_205497,c_205496,c_205495,c_205529,c_205493,c_205492,c_205509,c_205491,c_207805,c_207847,c_210611,c_210661,c_210969,c_209479,c_210484,c_212944,c_213131,c_213534,c_217809,c_217834,c_220806,c_220837,c_215615,c_215717,c_207430,c_207439,c_216691,c_216758,c_205490,c_205489,c_205539,c_205487,c_205486,c_205485,c_205484,c_205483,c_205482,c_205481,c_205480,c_205479,c_205478,c_205477,c_205476,c_205475,c_205474,c_205473,c_205472,c_205471,c_205470,c_205469,c_205468,c_205467,c_206175,c_206319,c_207294,c_210166,c_216630,c_216659,c_216688,c_216755,c_215055,c_214885,c_213810,c_217633,c_218222,c_227475,c_227395,c_223343,c_227390,c_227388,c_223315,c_227385,c_217660,c_208050,c_227370,c_227367,c_227365,c_227361,c_225966,c_227355,c_223270,c_216489,c_223267,c_223266,c_210187,c_218249,c_210809,c_227342,c_223258,c_208049,c_223259,c_227330,c_227329,c_227328,c_223232,c_226273,c_227321,c_227320,c_227314,c_227312,c_227311,c_227310,c_227309,c_223247,c_228039,c_228038,c_227862,c_227861,c_227853,c_227852,c_208028,c_227825,c_227818,c_227796,c_227795,c_227788,c_223183,c_227784,c_227782,c_227781,c_227780,c_227776,c_227772,c_227771,c_227768,c_227767,c_227766,c_223177,c_223178,c_227759,c_227758,c_227757,c_227756,c_227755,c_227754,c_227753,c_227752,c_227751,c_227748,c_227746,c_227745,c_227744,c_227743,c_227742,c_227741,c_227736,c_223206,c_227734,c_227731,c_227730,c_227729,c_227728,c_222536,c_227726,c_227725,c_227723,c_227724,c_227722,c_227721,c_227720,c_227719,c_227717,c_227711,c_227710,c_219292,c_227708,c_219871,c_219957,c_227703,c_218768,c_227700,c_227693,c_227691,c_227690,c_227689,c_227688,c_227686,c_227684,c_227683,c_227682,c_227675,c_227674,c_227671,c_227670,c_227669,c_219182,c_231416,c_227665,c_227664,c_227657,c_227656,c_227655,c_227653,c_227650,c_227649,c_224240,c_227647,c_227646,c_227645,c_227644,c_227643,c_227642,c_227641,c_227640,c_227639,c_227636,c_227634,c_220626,c_227632,c_227631,c_227630,c_227629,c_227626,c_205158,c_218769,c_227622,c_227617,c_227616,c_227615,c_216869,c_227610,c_227609,c_227608,c_227606,c_227604,c_227603,c_227602,c_227601,c_227718,c_227738,c_227593,c_227592,c_227552,c_227550,c_227549,c_227548,c_227546,c_227544,c_222411,c_227537,c_225934,c_225931,c_225930,c_222467,c_225909,c_225895,c_225892,c_225868,c_225863,c_225862,c_224551,c_225850,c_224540,c_224541,c_252062,c_225837,c_225836,c_224524,c_225830,c_225829,c_221065,c_221041,c_221035,c_221034,c_221011,c_221010,c_221009,c_221005,c_221004,c_225807,c_225806,c_225805,c_222434,c_219459,c_219458,c_219457,c_219456,c_219442,c_219441,c_218452,c_218451,c_218450,c_216375,c_217881,c_216369,c_216368,c_216367,c_216366,c_217857,c_219792,c_219791,c_219790,c_219789,c_219788,c_219787,c_219786,c_220909,c_220903,c_220902,c_220878,c_220877,c_220872,c_225725,c_225724,c_225723,c_222430,c_220500,c_220494,c_220493,c_220470,c_220469,c_220464,c_221135,c_224461,c_224460,c_219567,c_224458,c_224433,c_220306,c_224430,c_224429,c_224428,c_219556,c_224403,c_224402,c_224401,c_204701,c_205153,c_204682,c_218392,c_218386,c_218385,c_218365,c_218364,c_218359,c_218258,c_218252,c_218251,c_218232,c_218231,c_218230,c_218225,c_217667,c_217663,c_217643,c_217642,c_217641,c_217636,c_217597,c_217593,c_217572,c_217571,c_217566,c_216313,c_216291,c_216287,c_218034,c_218032,c_218007,c_218005,c_217901,c_217899,c_217874,c_217872,c_204200,c_204998,c_204340,c_213097,c_214908,c_205150,c_205164,c_203812,c_204338,c_218714,c_218713,c_218712,c_218711,c_218710,c_218709,c_218708,c_221707,c_221706,c_221705,c_221704,c_221700,c_271191,c_271190,c_222405,c_216312,c_223847,c_216508,c_223841,c_223840,c_216314,c_217287,c_216297,c_223816,c_223815,c_216296,c_216292,c_223808,c_218031,c_221881,c_218043,c_221875,c_221874,c_218035,c_218033,c_218004,c_218017,c_218018,c_218011,c_221850,c_221849,c_218013,c_218008,c_221843,c_217898,c_221773,c_217910,c_221767,c_221766,c_217902,c_217900,c_217871,c_217884,c_217879,c_217885,c_217878,c_221742,c_221741,c_217880,c_217875,c_221735,c_221674,c_221672,c_219345,c_221665,c_217531,c_217527,c_217526,c_217506,c_217505,c_217500,c_217340,c_216903,c_217311,c_217309,c_217305,c_217304,c_217303,c_217298,c_219374,c_219373,c_217285,c_217277,c_217276,c_217301,c_217253,c_217252,c_217247,c_217243,c_217239,c_217238,c_216518,c_216516,c_216506,c_216505,c_216496,c_216495,c_216494,c_216492,c_216491,c_216472,c_216471,c_216470,c_216468,c_216466,c_216429,c_216428,c_216427,c_216098,c_216096,c_216093,c_216092,c_216091,c_216089,c_216088,c_216087,c_216082,c_216083,c_216080,c_216071,c_216070,c_216066,c_216076,c_216075,c_215735,c_215734,c_215733,c_215732,c_214797,c_214796,c_214795,c_217851,c_217850,c_217849,c_217848,c_217847,c_217846,c_217845,c_219202,c_221605,c_221604,c_221603,c_221602,c_218010,c_221558,c_221557,c_221556,c_221555,c_217877,c_221515,c_221514,c_221513,c_221512,c_215865,c_215864,c_215863,c_215811,c_215790,c_215789,c_215785,c_214023,c_214022,c_214021,c_215725,c_215706,c_215684,c_215625,c_215609,c_215607,c_215583,c_215581,c_215575,c_214835,c_214834,c_214833,c_216792,c_216791,c_216790,c_216789,c_216788,c_216787,c_216786,c_216078,c_218506,c_218505,c_218504,c_218503,c_208441,c_208440,c_208439,c_215841,c_215840,c_215839,c_215838,c_215340,c_215338,c_215337,c_215336,c_215335,c_215334,c_215333,c_215331,c_215330,c_215329,c_215327,c_215326,c_215324,c_215325,c_215319,c_215316,c_215315,c_215314,c_215311,c_215310,c_215309,c_215308,c_215307,c_215318,c_215317,c_215263,c_215260,c_215259,c_215258,c_215256,c_215255,c_215224,c_215223,c_215225,c_213909,c_213874,c_213873,c_213872,c_213843,c_214302,c_213825,c_213824,c_213822,c_213819,c_213818,c_213816,c_213814,c_215021,c_215020,c_214986,c_214954,c_214950,c_214949,c_214948,c_214919,c_214918,c_214900,c_214899,c_214897,c_214896,c_214894,c_214893,c_214892,c_214891,c_214890,c_214889,c_213805,c_214558,c_213772,c_214460,c_214459,c_214458,c_214457,c_214455,c_214454,c_214621,c_214574,c_214569,c_214568,c_214566,c_214564,c_214562,c_214560,c_214559,c_213792,c_214550,c_214549,c_214548,c_214547,c_214544,c_214541,c_214540,c_214538,c_214529,c_214528,c_214527,c_214526,c_214525,c_214524,c_214523,c_214522,c_214082,c_215079,c_213742,c_214069,c_213719,c_216049,c_216048,c_216047,c_216046,c_216045,c_216044,c_216043,c_214319,c_208048,c_208043,c_214315,c_215177,c_214314,c_215082,c_214070,c_214312,c_214311,c_214310,c_208047,c_214308,c_214307,c_214306,c_208041,c_213841,c_214303,c_211837,c_208037,c_208035,c_208034,c_214291,c_214290,c_208033,c_208027,c_208026,c_214286,c_208036,c_214296,c_214295,c_213326,c_216450,c_216449,c_214351,c_214283,c_216444,c_215205,c_213799,c_215178,c_215158,c_215157,c_213777,c_213773,c_215153,c_215123,c_215105,c_214915,c_215064,c_215063,c_215062,c_215061,c_215059,c_215058,c_214130,c_208030,c_214093,c_214090,c_214088,c_214086,c_214084,c_214083,c_214074,c_214073,c_214072,c_213840,c_214063,c_214053,c_214052,c_213724,c_214050,c_213720,c_214048,c_213668,c_213667,c_213666,c_213648,c_213647,c_213643,c_213653,c_213652,c_213527,c_213508,c_213507,c_213503,c_213513,c_213512,c_213147,c_213138,c_213127,c_213126,c_213108,c_213106,c_213104,c_213099,c_213098,c_213096,c_213112,c_213109,c_213049,c_213042,c_213027,c_215542,c_215541,c_215540,c_215539,c_215538,c_215537,c_215536,c_216761,c_216694,c_212401,c_212382,c_212381,c_212380,c_212361,c_212357,c_212367,c_212354,c_212366,c_213260,c_213259,c_213258,c_213226,c_213225,c_212338,c_212337,c_212336,c_211870,c_211854,c_212935,c_211851,c_211849,c_14944,c_211841,c_211840,c_211839,c_211835,c_211832,c_211827,c_211825,c_211824,c_211823,c_211822,c_212937,c_212936,c_211853,c_212917,c_212916,c_212912,c_212922,c_212921,c_212873,c_212871,c_212869,c_212868,c_212866,c_212865,c_212863,c_210443,c_210442,c_210431,c_210425,c_210424,c_210420,c_210430,c_210429,c_208889,c_211721,c_211595,c_211588,c_211586,c_214421,c_214420,c_214419,c_214418,c_214417,c_214416,c_214415,c_215940,c_215939,c_215938,c_215919,c_215917,c_215916,c_213280,c_213278,c_213277,c_213276,c_213275,c_211744,c_211742,c_211741,c_211740,c_211739,c_211723,c_211717,c_211715,c_211500,c_211491,c_211490,c_211468,c_211451,c_211447,c_211446,c_211445,c_211437,c_211433,c_211427,c_211422,c_211412,c_211411,c_211410,c_211409,c_211440,c_211405,c_211435,c_211397,c_211333,c_211332,c_211320,c_211314,c_211313,c_211309,c_211319,c_211318,c_213486,c_213485,c_213484,c_213483,c_213482,c_213481,c_213480,c_213473,c_213472,c_213435,c_213426,c_213418,c_210842,c_210841,c_210839,c_210840,c_210836,c_210835,c_210834,c_210833,c_210479,c_210360,c_210359,c_210358,c_210357,c_210355,c_210354,c_210514,c_210352,c_210351,c_210350,c_210349,c_210347,c_210346,c_210340,c_210339,c_210335,c_210345,c_210344,c_212800,c_212799,c_212798,c_212797,c_212796,c_212795,c_212794,c_213356,c_213355,c_213354,c_212779,c_212777,c_212776,c_212760,c_212747,c_209863,c_209862,c_209861,c_209860,c_209836,c_209835,c_209834,c_209833,c_209713,c_209696,c_209691,c_209690,c_209689,c_209688,c_209679,c_209669,c_209668,c_209666,c_209662,c_209661,c_209660,c_209659,c_209657,c_202410,c_202341,c_209492,c_209491,c_209489,c_209490,c_209487,c_209486,c_209485,c_209484,c_209480,c_210797,c_208902,c_210664,c_210614,c_208901,c_208900,c_208899,c_208898,c_208897,c_208896,c_208895,c_208894,c_209712,c_208893,c_208892,c_208891,c_208890,c_208888,c_208887,c_208885,c_208884,c_208883,c_208881,c_208880,c_208879,c_208877,c_208876,c_208875,c_208874,c_208873,c_208871,c_208870,c_208869,c_210576,c_208868,c_208867,c_208864,c_208863,c_208861,c_208862,c_208859,c_208858,c_208856,c_208855,c_208854,c_208853,c_209675,c_209674,c_208852,c_208851,c_208850,c_208857,c_208845,c_208843,c_208844,c_208842,c_208841,c_208840,c_208839,c_208838,c_208835,c_208833,c_208832,c_208830,c_208829,c_208826,c_208823,c_208822,c_208821,c_208820,c_208847,c_208818,c_208815,c_208814,c_208872,c_209704,c_208812,c_208811,c_208882,c_208790,c_211276,c_211275,c_211274,c_211273,c_211272,c_211271,c_211270,c_211035,c_211034,c_211018,c_211013,c_211008,c_210999,c_210998,c_210996,c_210995,c_210993,c_210971,c_210970,c_208600,c_210174,c_210173,c_210172,c_210169,c_208537,c_208664,c_202070,c_202360,c_208492,c_208656,c_208480,c_208470,c_208469,c_208468,c_208467,c_208337,c_208373,c_208372,c_208370,c_208368,c_208367,c_208366,c_208363,c_208362,c_208361,c_208358,c_208357,c_208354,c_208353,c_208347,c_208346,c_208345,c_208344,c_208343,c_208342,c_210799,c_210798,c_210541,c_210540,c_208533,c_210532,c_210531,c_210530,c_210498,c_210497,c_210494,c_210757,c_210756,c_210755,c_210754,c_210753,c_210752,c_210751,c_210950,c_210949,c_210724,c_210721,c_210720,c_210717,c_210716,c_210715,c_210713,c_210712,c_210711,c_208477,c_210669,c_210667,c_210666,c_210665,c_208476,c_210619,c_210617,c_210616,c_210615,c_210578,c_210577,c_207947,c_207946,c_208572,c_208571,c_207595,c_207594,c_207593,c_207592,c_207591,c_207567,c_207566,c_207564,c_207886,c_207876,c_207874,c_207871,c_207870,c_207866,c_207865,c_207875,c_207601,c_207247,c_207225,c_207221,c_207828,c_207827,c_207823,c_207832,c_207813,c_207784,c_207779,c_210318,c_210317,c_210316,c_210315,c_210314,c_210313,c_210312,c_202057,c_210280,c_210278,c_210277,c_210276,c_210246,c_210244,c_210243,c_210242,c_207935,c_206615,c_206614,c_207056,c_207046,c_207034,c_207022,c_207021,c_207020,c_207019,c_207017,c_207016,c_207264,c_208663,c_207256,c_207255,c_207254,c_207253,c_207252,c_207763,c_207223,c_208234,c_207745,c_207740,c_207735,c_207144,c_207143,c_207142,c_208770,c_208297,c_207718,c_207141,c_207140,c_207139,c_207138,c_207137,c_208769,c_208768,c_208767,c_208766,c_208765,c_208764,c_208527,c_208481,c_208719,c_208712,c_208692,c_208660,c_208659,c_208657,c_208655,c_208653,c_208652,c_208639,c_208580,c_208286,c_208236,c_208235,c_208233,c_208232,c_208231,c_208230,c_208229,c_207904,c_207903,c_207351,c_207338,c_207319,c_207313,c_207312,c_207305,c_207303,c_207302,c_207301,c_207300,c_207298,c_207297,c_207180,c_207108,c_206924,c_206923,c_206921,c_206907,c_206900,c_206895,c_206893,c_206889,c_206899,c_206886,c_206992,c_206985,c_206983,c_206980,c_206978,c_206974,c_206973,c_206984,c_208296,c_208295,c_208294,c_208293,c_208292,c_208291,c_206819,c_205458,c_205418,c_205417,c_205416,c_205415,c_205414,c_205413,c_205412,c_205403,c_205402,c_205401,c_205400,c_208196,c_207261,c_208313,c_208312,c_208311,c_208310,c_208309,c_207984,c_207983,c_207982,c_207702,c_207701,c_207700,c_207179,c_207097,c_206606,c_206605,c_206597,c_206596,c_207208,c_206976,c_207190,c_207169,c_207168,c_207164,c_207163,c_207159,c_207157,c_206515,c_206382,c_206381,c_206377,c_206667,c_206326,c_206325,c_206323,c_206322,c_66088,c_206217,c_206197,c_206196,c_206193,c_206192,c_206190,c_206189,c_206187,c_206186,c_206181,c_206180,c_206179,c_206178,c_207717,c_207716,c_207715,c_207714,c_207713,c_207712,c_205383,c_205382,c_206671,c_205380,c_205328,c_205327,c_206670,c_205325,c_203173,c_203172,c_203171,c_203170,c_203160,c_205108,c_205107,c_205101,c_205100,c_205099,c_205087,c_205086,c_205062,c_205061,c_205039,c_205038,c_206391,c_205010,c_205009,c_205008,c_205006,c_207867,c_205004,c_205003,c_205002,c_205001,c_204999,c_204997,c_204996,c_204994,c_204993,c_206665,c_204992,c_204989,c_204984,c_204982,c_204975,c_204974,c_204971,c_206387,c_206522,c_206394,c_206517,c_206516,c_206392,c_206504,c_206503,c_206502,c_206383,c_206500,c_206874,c_206873,c_206872,c_206871,c_206870,c_206869,c_204911,c_204910,c_204909,c_204908,c_204907,c_204904,c_204901,c_204891,c_204813,c_204797,c_204796,c_204795,c_204794,c_204791,c_204790,c_204789,c_204788,c_204787,c_204786,c_206676,c_204785,c_204770,c_204747,c_204746,c_204745,c_204744,c_204743,c_204742,c_204741,c_204740,c_204739,c_204738,c_204737,c_204736,c_204735,c_204734,c_204731,c_204730,c_204729,c_204728,c_206652,c_204726,c_204724,c_204714,c_204700,c_204697,c_204692,c_204691,c_204690,c_204689,c_204686,c_204685,c_204684,c_204680,c_204679,c_204678,c_204676,c_204675,c_204673,c_204672,c_204671,c_206390,c_240941,c_206704,c_208097,c_223287,c_208555,c_208554,c_206687,c_206674,c_206499,c_206669,c_206668,c_206666,c_206376,c_206375,c_206655,c_206654,c_206653,c_206389,c_204592,c_204620,c_204580,c_204576,c_204575,c_204571,c_204568,c_204567,c_204566,c_204565,c_204564,c_204563,c_204520,c_204519,c_204626,c_204517,c_204516,c_204514,c_204511,c_204509,c_204518,c_202069,c_202359,c_204630,c_204373,c_204171,c_204170,c_203981,c_203978,c_203974,c_204010,c_203973,c_204412,c_204411,c_204410,c_204944,c_204943,c_204942,c_204941,c_204940,c_204939,c_204624,c_204623,c_204622,c_204621,c_204619,c_204618,c_204617,c_204616,c_204370,c_204369,c_204368,c_204367,c_204366,c_204364,c_204363,c_204362,c_204361,c_204321,c_204300,c_204299,c_204298,c_204297,c_204296,c_204463,c_204462,c_204257,c_204256,c_204502,c_204501,c_204492,c_204491,c_204440,c_66876,c_204438,c_204437,c_204434,c_204433,c_204431,c_204430,c_204429,c_204160,c_204158,c_204157,c_204287,c_204098,c_204092,c_204078,c_204070,c_204060,c_204049,c_204048,c_204047,c_204230,c_204046,c_204044,c_204041,c_204229,c_204227,c_204226,c_204217,c_204204,c_204203,c_204202,c_204201,c_204199,c_204197,c_204195,c_203951,c_203950,c_203949,c_203948,c_203907,c_203648,c_203647,c_203646,c_203645,c_203806,c_203643,c_203644,c_203634,c_203633,c_203874,c_203873,c_203871,c_203870,c_203869,c_203807,c_204027,c_204026,c_203989,c_203988,c_204008,c_204001,c_204000,c_203919,c_203918,c_203916,c_203915,c_203914,c_203913,c_203912,c_203662,c_203598,c_203597,c_203596,c_204399,c_203656,c_203595,c_203535,c_203534,c_204398,c_204397,c_204396,c_204395,c_204394,c_203815,c_203817,c_203816,c_203814,c_203813,c_203811,c_203810,c_203809,c_203808,c_203805,c_203804,c_203803,c_203802,c_203801,c_203800,c_203799,c_203853,c_203852,c_203798,c_203604,c_203603,c_203538,c_203421,c_203420,c_203413,c_202068,c_202358,c_203746,c_203574,c_203573,c_203572,c_203571,c_203570,c_202067,c_202357,c_202066,c_202356,c_203561,c_201846,c_7080,c_7079,c_203557,c_203556,c_203512,c_203511,c_203510,c_203509,c_203497,c_203494,c_203493,c_203492,c_203477,c_203473,c_203467,c_203460,c_203671,c_203458,c_203655,c_203654,c_203653,c_203652,c_203651,c_203410,c_203787,c_203786,c_203775,c_203774,c_203396,c_203389,c_203388,c_203387,c_203386,c_203385,c_203360,c_203353,c_203352,c_203351,c_203350,c_203349,c_203280,c_203279,c_203278,c_203277,c_203245,c_203244,c_203243,c_203242,c_203221,c_203443,c_203442,c_203212,c_203211,c_203210,c_203431,c_203430,c_203429,c_203428,c_202593,c_202282,c_202490,c_202824,c_203145,c_203134,c_203133,c_203126,c_203125,c_203748,c_203090,c_203072,c_203062,c_203052,c_203044,c_203043,c_203035,c_203034,c_203026,c_203025,c_203017,c_203016,c_203008,c_203007,c_202999,c_202998,c_202990,c_202989,c_202980,c_202979,c_202968,c_202960,c_202944,c_202930,c_202923,c_202902,c_202896,c_202889,c_202878,c_202873,c_202869,c_202865,c_202849,c_202847,c_202846,c_202845,c_202844,c_202843,c_202842,c_202841,c_202840,c_202839,c_202837,c_202836,c_202835,c_202833,c_202832,c_202831,c_202830,c_202828,c_202829,c_202827,c_202826,c_202825,c_202823,c_202822,c_202821,c_202848,c_202819,c_202818,c_202817,c_202816,c_202815,c_202814,c_202813,c_202812,c_202811,c_202810,c_202809,c_202808,c_202807,c_202806,c_202747,c_202737,c_202727,c_202719,c_202718,c_202710,c_202709,c_202701,c_202700,c_202692,c_202691,c_202683,c_202682,c_202674,c_202673,c_202665,c_202664,c_202655,c_202654,c_202643,c_202635,c_202619,c_202605,c_202598,c_202588,c_202583,c_202577,c_202571,c_202565,c_202559,c_202548,c_202543,c_202539,c_202535,c_202521,c_202518,c_202515,c_202513,c_202512,c_202511,c_202510,c_202509,c_202508,c_202507,c_202506,c_202505,c_202503,c_202502,c_202501,c_202499,c_202498,c_202497,c_202496,c_202494,c_202495,c_202493,c_202492,c_202491,c_202489,c_202488,c_202487,c_202514,c_202485,c_202484,c_202483,c_202482,c_202481,c_202480,c_202479,c_202478,c_202477,c_202476,c_202475,c_202474,c_202473,c_202472,c_203764,c_203763,c_203179,c_203178,c_203177,c_203176,c_203175,c_203174,c_201621,c_202443,c_202442,c_202441,c_202439,c_202438,c_202435,c_202437,c_202436,c_203095,c_202432,c_202434,c_202433,c_203667,c_203668,c_202431,c_202430,c_202428,c_202427,c_202417,c_202416,c_202415,c_202414,c_202413,c_202369,c_202368,c_202465,c_202353,c_202352,c_202348,c_202347,c_202342,c_202338,c_202337,c_202336,c_202335,c_202334,c_202333,c_203669,c_202332,c_202328,c_202304,c_202303,c_202266,c_202265,c_202234,c_202233,c_202213,c_202017,c_202016,c_202198,c_201970,c_201968,c_201951,c_201949,c_202466,c_203745,c_203744,c_203743,c_203739,c_202429,c_203735,c_203736,c_202143,c_202140,c_202139,c_202179,c_202169,c_202159,c_202150,c_202065,c_202064,c_202063,c_202062,c_202061,c_202060,c_202059,c_202058,c_202054,c_202053,c_202052,c_202051,c_202050,c_202049,c_203670,c_202048,c_202047,c_202044,c_201995,c_201994,c_201932,c_201931,c_201915,c_202168,c_201903,c_201902,c_201891,c_204096,c_201886,c_201884,c_201900,c_201866,c_201865,c_201874,c_202028,c_202027,c_201848,c_201847,c_201842,c_201841,c_201832,c_201813,c_201797,c_201784,c_201783,c_201759,c_201751,c_201742,c_201741,c_201728,c_201727,c_201863,c_201875,c_201873,c_201871,c_201822,c_201705,c_201704,c_201703,c_201694,c_201678,c_201663,c_201662,c_201649,c_201648,c_201606,c_201605,c_201710,c_201709,c_201708,c_201706,c_201596,c_201595,c_201594,c_201592,c_201589,c_201588,c_201634,c_201616,c_201615,c_201573,c_201572,c_201567,c_201558,c_201511,c_201486,c_201459,c_201434,c_201412,c_201411,c_201409,c_201387,c_201386,c_201384,c_201362,c_201361,c_201359,c_201337,c_201336,c_201334,c_201289,c_201286,c_201279,c_201258,c_201227,c_201226,c_201225,c_201198,c_201197,c_201196,c_201168,c_201165,c_201161,c_201156,c_201155,c_201154,c_201153,c_201151,c_201150,c_201149,c_201148,c_201140,c_201139,c_201138,c_201136,c_201126,c_201123,c_201112,c_201109,c_201108,c_201107,c_201100,c_201099,c_201090,c_201089,c_201088,c_201087,c_2574,c_2573,c_2572,c_2571,c_2570,c_2569,c_2568,c_2567,c_2566,c_964,c_954,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_138,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_110,c_109,c_111,c_106,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_61,c_59,c_58,c_57,c_56,c_55,c_54,c_204074,c_52,c_51,c_60,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV476+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 19:52:28 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 95.20/16.89 % SZS status Started for theBenchmark.p
% 95.20/16.89 % SZS status Theorem for theBenchmark.p
% 95.20/16.89
% 95.20/16.89 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 95.20/16.89
% 95.20/16.89 % ------ iProver source info
% 95.20/16.89
% 95.20/16.89 % git: date: 2026-07-19 20:42:38 +0200
% 95.20/16.89 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 95.20/16.89 % git: non_committed_changes: false
% 95.20/16.89
% 95.20/16.89 % ------ Parsing...
% 95.20/16.89 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 95.20/16.89
% 95.20/16.89 % ------ Preprocessing... sup_sim: 4 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 95.20/16.89
% 95.20/16.89 % ------ Preprocessing... gs_s sp: 8 0s gs_e snvd_s sp: 0 0s snvd_e %
% 95.20/16.89
% 95.20/16.89 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 95.20/16.89 % ------ Proving...
% 95.20/16.89 % ------ Problem Properties
% 95.20/16.89
% 95.20/16.89 %
% 95.20/16.89 % clauses 103
% 95.20/16.89 % conjectures 44
% 95.20/16.89 % EPR 19
% 95.20/16.89 % Horn 93
% 95.20/16.89 % unary 51
% 95.20/16.89 % binary 23
% 95.20/16.89 % lits 266
% 95.20/16.89 % lits eq 122
% 95.20/16.89 % fd_pure 0
% 95.20/16.89 % fd_pseudo 0
% 95.20/16.89 % fd_cond 1
% 95.20/16.89 % fd_pseudo_cond 13
% 95.20/16.89 % AC symbols 0
% 95.20/16.89
% 95.20/16.89 % ------ Schedule dynamic 5 is on
% 95.20/16.89
% 95.20/16.89 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 95.20/16.89
% 95.20/16.89
% 95.20/16.89 % ------
% 95.20/16.89 % Current options:
% 95.20/16.89 % ------
% 95.20/16.89
% 95.20/16.89
% 95.20/16.89 %
% 95.20/16.89
% 95.20/16.89 % ------ Proving...
% 95.20/16.89 % Proof_search_loop: time out after: 4542 full_loop iterations
% 95.20/16.89
% 95.20/16.89 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 95.20/16.89
% 95.20/16.89
% 95.20/16.89 % ------
% 95.20/16.89 % Current options:
% 95.20/16.89 % ------
% 95.20/16.89
% 95.20/16.89
% 95.20/16.89 %
% 95.20/16.89
% 95.20/16.89 % ------ Proving...
% 95.20/16.89 %
% 95.20/16.89
% 95.20/16.89 % SZS status Theorem for theBenchmark.p
% 95.20/16.89
% 95.20/16.89 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 115.74/17.06
% 115.74/17.06
%------------------------------------------------------------------------------