%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV477+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 : n012.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 03:22:21 PM UTC 2026
% Result : Theorem 30.03s 5.08s
% Output : CNFRefutation 30.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 123 ( 44 unt; 0 def)
% Number of atoms : 1170 ( 483 equ)
% Maximal formula atoms : 126 ( 9 avg)
% Number of connectives : 1654 ( 607 ~; 511 |; 451 &)
% ( 3 <=>; 82 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 22 con; 0-2 aty)
% Number of variables : 501 ( 0 sgn 468 !; 33 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f59,axiom,
! [X0] : ~ leq(s(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
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(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(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(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(f83,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(ennf_transformation,[],[f63]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(flattening,[],[f83]) ).
fof(f85,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(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(f86,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(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,[],[f85]) ).
fof(f107,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ( leq(X1,X0)
& leq(X0,X1) ) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f108,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ( leq(X1,X0)
& leq(X0,X1) ) ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ( ~ leq(X0,X1)
| leq(s(X0),s(X1)) )
& ( ~ leq(s(X0),s(X1))
| leq(X0,X1) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f110,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(f111,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,[],[f110]) ).
fof(f112,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(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,[],[f86]) ).
fof(f113,plain,
( queue(host(sK5)) = cons(m_Ack(sK4,sK6),sK3)
& ! [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),sK13(X53,X54))
& ~ leq(host(X54),sK13(X53,X54))
& host(X53) != sK13(X53,X54)
& ~ setIn(sK13(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),sK12(X48,X49))
& ~ leq(host(X49),sK12(X48,X49))
& host(X48) != sK12(X48,X49)
& ~ setIn(sK12(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(sK5,alive)
& host(sK6) = index(pendack,host(sK5))
& elec_2 = index(status,host(sK5))
& sK4 = index(elid,host(sK5))
& leq(nbr_proc,index(pendack,host(sK5)))
& host(sK7) != host(sK6)
& ~ setIn(host(sK7),index(acks,host(sK5)))
& host(sK5) = host(sK8)
& host(sK5) != host(sK11)
& elec_1 = index(status,host(sK11))
& s(host(sK11)) = host(sK9)
& elem(m_Down(sK10),queue(host(sK11)))
& elem(m_Down(sK9),queue(host(sK11)))
& leq(nbr_proc,s(host(sK11)))
& setIn(sK11,alive)
& ! [X9] :
( ~ leq(s(zero),X9)
| leq(host(sK11),X9)
| host(sK10) = X9
| setIn(X9,index(down,host(sK11))) )
& host(sK5) = host(sK8)
& setIn(sK8,alive) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X7,sK10),skolemize(X8,sK11),skolemize(X50,sK12(X48,X49)),skolemize(X55,sK13(X53,X54))],[f112]) ).
fof(f117,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f197,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f59]) ).
fof(f199,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f200,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f108]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f204,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f205,plain,
! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f206,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,X1)
| s(X1) = X0 ),
inference(cnf_transformation,[],[f111]) ).
fof(f208,plain,
! [X0,X1] :
( s(X1) != X0
| leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f215,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),sK12(X48,X49))
| ~ elem(m_Ack(X46,X47),queue(host(X46))) ),
inference(cnf_transformation,[],[f113]) ).
fof(f226,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,[],[f113]) ).
fof(f228,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,[],[f113]) ).
fof(f234,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
elec_2 = index(status,host(sK5)),
inference(cnf_transformation,[],[f113]) ).
fof(f238,plain,
leq(nbr_proc,index(pendack,host(sK5))),
inference(cnf_transformation,[],[f113]) ).
fof(f241,plain,
host(sK5) = host(sK8),
inference(cnf_transformation,[],[f113]) ).
fof(f242,plain,
host(sK5) != host(sK11),
inference(cnf_transformation,[],[f113]) ).
fof(f243,plain,
elec_1 = index(status,host(sK11)),
inference(cnf_transformation,[],[f113]) ).
fof(f244,plain,
s(host(sK11)) = host(sK9),
inference(cnf_transformation,[],[f113]) ).
fof(f245,plain,
elem(m_Down(sK10),queue(host(sK11))),
inference(cnf_transformation,[],[f113]) ).
fof(f246,plain,
elem(m_Down(sK9),queue(host(sK11))),
inference(cnf_transformation,[],[f113]) ).
fof(f247,plain,
leq(nbr_proc,s(host(sK11))),
inference(cnf_transformation,[],[f113]) ).
fof(f248,plain,
setIn(sK11,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f249,plain,
! [X9] :
( ~ leq(s(zero),X9)
| leq(host(sK11),X9)
| host(sK10) = X9
| setIn(X9,index(down,host(sK11))) ),
inference(cnf_transformation,[],[f113]) ).
fof(f264,plain,
! [X1] : leq(s(X1),s(X1)),
inference(equality_resolution,[],[f208]) ).
tcf(c_52,plain,
! [X0: $i] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f117]) ).
tcf(c_54,plain,
! [X0: $i] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f119]) ).
tcf(c_126,negated_conjecture,
! [X0: $i] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f197]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_135,plain,
! [X0: $i] : leq(s(X0),s(X0)),
inference(cnf_transformation,[],[f264]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( s(X1) = X0 )
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_141,negated_conjecture,
! [X0: $i] :
( leq(host(sK11),X0)
| setIn(X0,index(down,host(sK11)))
| ( host(sK10) = X0 )
| ~ leq(s(zero),X0) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_142,negated_conjecture,
setIn(sK11,alive),
inference(cnf_transformation,[],[f248]) ).
tcf(c_143,negated_conjecture,
leq(nbr_proc,s(host(sK11))),
inference(cnf_transformation,[],[f247]) ).
tcf(c_144,negated_conjecture,
elem(m_Down(sK9),queue(host(sK11))),
inference(cnf_transformation,[],[f246]) ).
tcf(c_145,negated_conjecture,
elem(m_Down(sK10),queue(host(sK11))),
inference(cnf_transformation,[],[f245]) ).
tcf(c_146,negated_conjecture,
s(host(sK11)) = host(sK9),
inference(cnf_transformation,[],[f244]) ).
tcf(c_147,negated_conjecture,
index(status,host(sK11)) = elec_1,
inference(cnf_transformation,[],[f243]) ).
tcf(c_148,negated_conjecture,
host(sK5) != host(sK11),
inference(cnf_transformation,[],[f242]) ).
tcf(c_149,negated_conjecture,
host(sK8) = host(sK5),
inference(cnf_transformation,[],[f241]) ).
tcf(c_152,negated_conjecture,
leq(nbr_proc,index(pendack,host(sK5))),
inference(cnf_transformation,[],[f238]) ).
tcf(c_154,negated_conjecture,
index(status,host(sK5)) = elec_2,
inference(cnf_transformation,[],[f236]) ).
tcf(c_156,negated_conjecture,
setIn(sK5,alive),
inference(cnf_transformation,[],[f234]) ).
tcf(c_162,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,[],[f228]) ).
tcf(c_164,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,[],[f226]) ).
tcf(c_175,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(s(zero),sK12(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,[],[f215]) ).
tcf(c_520,plain,
leq(s(zero),host(sK5)),
inference(superposition,[status(thm)],[c_149,c_52]) ).
tcf(c_523,plain,
leq(host(sK9),host(sK9)),
inference(superposition,[status(thm)],[c_146,c_135]) ).
tcf(c_525,plain,
leq(nbr_proc,host(sK9)),
inference(superposition,[status(thm)],[c_146,c_143]) ).
tcf(c_638,plain,
! [X0: $i] :
( leq(index(pendack,host(sK5)),host(X0))
| ~ setIn(sK5,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK5),index(down,host(X0))) ),
inference(superposition,[status(thm)],[c_154,c_162]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK5)),host(X1))
| ~ setIn(sK5,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK5) ) ),
inference(superposition,[status(thm)],[c_154,c_164]) ).
tcf(c_730,plain,
! [X0: $i] :
( leq(host(sK11),X0)
| ~ leq(host(sK9),s(X0)) ),
inference(superposition,[status(thm)],[c_146,c_133]) ).
tcf(c_884,plain,
( leq(host(sK11),host(sK11))
| ~ leq(host(sK9),host(sK9)) ),
inference(superposition,[status(thm)],[c_146,c_730]) ).
tcf(c_1156,plain,
leq(host(sK5),nbr_proc),
inference(superposition,[status(thm)],[c_149,c_54]) ).
tcf(c_1163,plain,
~ leq(host(sK9),host(sK11)),
inference(superposition,[status(thm)],[c_146,c_126]) ).
tcf(c_1321,plain,
! [X0: $i,X1: $i] :
( leq(host(X1),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_54,c_132]) ).
tcf(c_1334,plain,
! [X0: $i] :
( leq(host(sK5),X0)
| ~ leq(nbr_proc,X0) ),
inference(superposition,[status(thm)],[c_1156,c_132]) ).
tcf(c_1351,plain,
~ leq(nbr_proc,host(sK11)),
inference(superposition,[status(thm)],[c_1321,c_1163]) ).
tcf(c_1516,plain,
( ( host(sK5) = host(sK11) )
| ~ leq(host(sK11),host(sK5))
| ~ leq(host(sK5),host(sK11)) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_1982,plain,
! [X0: $i] :
( leq(index(pendack,host(sK5)),host(X0))
| ~ setIn(sK5,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK5),index(down,host(X0))) ),
inference(resolution,[status(thm)],[c_162,c_154]) ).
tcf(c_2005,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK5)),host(X1))
| ~ setIn(sK5,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK5) ) ),
inference(resolution,[status(thm)],[c_164,c_154]) ).
tcf(c_2437,plain,
! [X0: $i] :
( leq(index(pendack,host(sK5)),host(X0))
| ~ setIn(host(sK5),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(global_subsumption_just,[status(thm)],[c_1982,c_156,c_638]) ).
tcf(c_2438,plain,
! [X0: $i] :
( leq(index(pendack,host(sK5)),host(X0))
| ~ setIn(X0,alive)
| ~ setIn(host(sK5),index(down,host(X0))) ),
inference(renaming,[status(thm)],[c_2437]) ).
tcf(c_2452,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK5)),host(X1))
| ( host(X0) != host(sK5) )
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) ),
inference(global_subsumption_just,[status(thm)],[c_2005,c_156,c_706]) ).
tcf(c_2453,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK5)),host(X1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK5) ) ),
inference(renaming,[status(thm)],[c_2452]) ).
tcf(c_2470,plain,
( leq(index(pendack,host(sK5)),host(sK11))
| ~ setIn(sK11,alive)
| ( host(sK9) != host(sK5) ) ),
inference(resolution,[status(thm)],[c_2453,c_144]) ).
tcf(c_2471,plain,
( leq(index(pendack,host(sK5)),host(sK11))
| ~ setIn(sK11,alive)
| ( host(sK10) != host(sK5) ) ),
inference(resolution,[status(thm)],[c_2453,c_145]) ).
tcf(c_2472,plain,
( leq(index(pendack,host(sK5)),host(sK11))
| ( host(sK9) != host(sK5) ) ),
inference(global_subsumption_just,[status(thm)],[c_2470,c_142,c_2470]) ).
tcf(c_2482,plain,
( leq(index(pendack,host(sK5)),host(sK11))
| ( host(sK10) != host(sK5) ) ),
inference(global_subsumption_just,[status(thm)],[c_2471,c_142,c_2471]) ).
tcf(c_2656,plain,
! [X0: $i] :
( leq(X0,host(sK11))
| ( s(host(sK11)) = X0 )
| ~ leq(X0,host(sK9)) ),
inference(superposition,[status(thm)],[c_146,c_137]) ).
tcf(c_3208,plain,
! [X0: $i,X1: $i] :
( leq(X1,host(X0))
| ~ setIn(X0,alive)
| ~ leq(X1,index(pendack,host(sK5)))
| ~ setIn(host(sK5),index(down,host(X0))) ),
inference(resolution,[status(thm)],[c_132,c_2438]) ).
tcf(c_3210,plain,
! [X0: $i] :
( leq(X0,host(sK11))
| ~ leq(X0,index(pendack,host(sK5)))
| ( host(sK9) != host(sK5) ) ),
inference(resolution,[status(thm)],[c_132,c_2472]) ).
tcf(c_3211,plain,
! [X0: $i] :
( leq(X0,host(sK11))
| ~ leq(X0,index(pendack,host(sK5)))
| ( host(sK10) != host(sK5) ) ),
inference(resolution,[status(thm)],[c_132,c_2482]) ).
tcf(c_3292,plain,
( leq(host(sK5),host(sK11))
| ( s(host(sK11)) = host(sK5) )
| ~ leq(nbr_proc,host(sK9)) ),
inference(superposition,[status(thm)],[c_1334,c_2656]) ).
tcf(c_4705,plain,
( leq(nbr_proc,host(sK11))
| ( host(sK9) != host(sK5) ) ),
inference(resolution,[status(thm)],[c_3210,c_152]) ).
tcf(c_4743,plain,
host(sK9) != host(sK5),
inference(global_subsumption_just,[status(thm)],[c_4705,c_1351,c_4705]) ).
tcf(c_4856,plain,
( leq(nbr_proc,host(sK11))
| ( host(sK10) != host(sK5) ) ),
inference(resolution,[status(thm)],[c_3211,c_152]) ).
tcf(c_4898,plain,
! [X0: $i] :
( leq(X0,host(sK11))
| leq(host(sK11),host(sK5))
| ( host(sK10) = host(sK5) )
| ~ setIn(sK11,alive)
| ~ leq(s(zero),host(sK5))
| ~ leq(X0,index(pendack,host(sK5))) ),
inference(resolution,[status(thm)],[c_3208,c_141]) ).
tcf(c_4900,plain,
! [X0: $i] :
( leq(X0,host(sK11))
| leq(host(sK11),host(sK5))
| ~ leq(X0,index(pendack,host(sK5))) ),
inference(global_subsumption_just,[status(thm)],[c_4898,c_142,c_520,c_1351,c_4856,c_4898]) ).
tcf(c_4919,plain,
( leq(nbr_proc,host(sK11))
| leq(host(sK11),host(sK5)) ),
inference(resolution,[status(thm)],[c_4900,c_152]) ).
tcf(c_5396,plain,
( ~ leq(host(sK9),host(sK5))
| ~ leq(host(sK5),host(sK9)) ),
inference(resolution,[status(thm)],[c_131,c_4743]) ).
tcf(c_63660,plain,
leq(nbr_proc,host(sK9)),
inference(superposition,[status(thm)],[c_146,c_143]) ).
tcf(c_63727,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK12(X2,sK11))
| ~ setIn(X0,alive)
| ~ leq(host(X0),host(sK11))
| ~ elem(m_Down(X2),queue(host(sK11)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( host(X1) != host(sK11) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_147,c_175]) ).
tcf(c_63776,plain,
! [X0: $i] :
( leq(host(sK9),s(X0))
| ~ leq(host(sK11),X0) ),
inference(superposition,[status(thm)],[c_146,c_134]) ).
tcf(c_63777,plain,
! [X0: $i] :
( leq(s(X0),host(sK9))
| ~ leq(X0,host(sK11)) ),
inference(superposition,[status(thm)],[c_146,c_134]) ).
tcf(c_63862,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| ~ leq(host(sK9),X0) ),
inference(superposition,[status(thm)],[c_63660,c_132]) ).
tcf(c_64239,plain,
! [X0: $i] :
( leq(X0,host(sK11))
| ( s(host(sK11)) = X0 )
| ~ leq(X0,host(sK9)) ),
inference(superposition,[status(thm)],[c_146,c_137]) ).
tcf(c_64811,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,host(sK9)) ),
inference(superposition,[status(thm)],[c_128,c_63862]) ).
tcf(c_64827,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| leq(X0,host(sK11))
| ( s(host(sK11)) = X0 ) ),
inference(superposition,[status(thm)],[c_64811,c_64239]) ).
tcf(c_65397,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK12(X1,sK11))
| ~ setIn(sK5,alive)
| ~ leq(host(sK5),host(sK11))
| ~ elem(m_Down(X1),queue(host(sK11)))
| ~ elem(m_Ack(sK5,X0),queue(host(sK5)))
| ( host(X0) != host(sK11) ) ),
inference(superposition,[status(thm)],[c_154,c_63727]) ).
tcf(c_65401,plain,
~ leq(host(sK5),host(sK11)),
inference(global_subsumption_just,[status(thm)],[c_65397,c_148,c_1351,c_1516,c_4919]) ).
tcf(c_106781,plain,
( leq(nbr_proc,host(sK5))
| ( s(host(sK11)) = host(sK5) ) ),
inference(superposition,[status(thm)],[c_64827,c_65401]) ).
tcf(c_106887,plain,
s(host(sK11)) = host(sK5),
inference(global_subsumption_just,[status(thm)],[c_106781,c_148,c_525,c_1351,c_1516,c_3292,c_4919]) ).
tcf(c_107078,plain,
( leq(host(sK5),host(sK9))
| ~ leq(host(sK11),host(sK11)) ),
inference(superposition,[status(thm)],[c_106887,c_63777]) ).
tcf(c_107079,plain,
( leq(host(sK9),host(sK5))
| ~ leq(host(sK11),host(sK11)) ),
inference(superposition,[status(thm)],[c_106887,c_63776]) ).
tcf(c_107232,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_107078,c_107079,c_5396,c_884,c_523]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV477+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Thu Sep 24 19:51:50 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 0.03/0.33
% 0.03/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.33
% 0.03/0.33 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 30.03/5.08 % SZS status Started for theBenchmark.p
% 30.03/5.08 % SZS status Theorem for theBenchmark.p
% 30.03/5.08
% 30.03/5.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 30.03/5.08
% 30.03/5.08 % ------ iProver source info
% 30.03/5.08
% 30.03/5.08 % git: date: 2026-07-19 20:42:38 +0200
% 30.03/5.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 30.03/5.08 % git: non_committed_changes: false
% 30.03/5.08
% 30.03/5.08 % ------ Parsing...
% 30.03/5.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 30.03/5.08
% 30.03/5.08 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e %
% 30.03/5.08
% 30.03/5.08 % ------ Preprocessing...%
% 30.03/5.08
% 30.03/5.08 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 30.03/5.08 % ------ Proving...
% 30.03/5.08 % ------ Problem Properties
% 30.03/5.08
% 30.03/5.08 %
% 30.03/5.08 % clauses 129
% 30.03/5.08 % conjectures 69
% 30.03/5.08 % EPR 17
% 30.03/5.08 % Horn 113
% 30.03/5.08 % unary 64
% 30.03/5.08 % binary 24
% 30.03/5.08 % lits 330
% 30.03/5.08 % lits eq 143
% 30.03/5.08 % fd_pure 0
% 30.03/5.08 % fd_pseudo 0
% 30.03/5.08 % fd_cond 1
% 30.03/5.08 % fd_pseudo_cond 13
% 30.03/5.08 % AC symbols 0
% 30.03/5.08
% 30.03/5.08 % ------ Input Options Time Limit: Unbounded
% 30.03/5.08
% 30.03/5.08
% 30.03/5.08 % ------
% 30.03/5.08 % Current options:
% 30.03/5.08 % ------
% 30.03/5.08
% 30.03/5.08
% 30.03/5.08 %
% 30.03/5.08
% 30.03/5.08 % ------ Proving...
% 30.03/5.08 %
% 30.03/5.08
% 30.03/5.08 % SZS status Theorem for theBenchmark.p
% 30.03/5.08
% 30.03/5.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 30.03/5.08
% 30.03/5.08
%------------------------------------------------------------------------------