%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV477+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 : Tue Sep 29 01:24:23 PM UTC 2026
% Result : Theorem 0.17s 0.29s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 116 ( 38 unt; 7 def)
% Number of atoms : 866 ( 347 equ)
% Maximal formula atoms : 126 ( 7 avg)
% Number of connectives : 1127 ( 377 ~; 300 |; 359 &)
% ( 10 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 19 con; 0-2 aty)
% Number of variables : 335 ( 0 sgn 313 !; 22 ?)
% 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(f60,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_59) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
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))
<=> ( X0 = s(X1)
| leq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& setIn(host(X5),index(down,host(X4)))
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& setIn(host(X5),index(down,host(X4))) ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X4)))
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& host(X6) = host(X5)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X6),queue(host(X4))) ) )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> X5 = X4 )
& ! [X4,X6,X5] :
( ( ~ leq(host(X6),host(X5))
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& elem(m_Down(X7),queue(host(X6))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(host(X7),index(down,host(X6))) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = wait
& host(index(elid,host(X5))) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X4,alive)
& leq(host(X4),host(X5))
& elem(m_Down(X6),queue(host(X5)))
& host(X7) = host(X5)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X4,X7),queue(host(X4))) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X5,alive)
& leq(nbr_proc,s(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Down(X7),queue(host(X5)))
& host(X7) = s(host(X5))
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( ~ ( setIn(host(X4),index(acks,host(X2)))
| host(X4) = host(X3) )
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X2) != host(X11)
=> ( ( ! [X12] :
( ( ~ leq(host(X11),X12)
& leq(s(zero),X12) )
=> ( setIn(X12,index(down,host(X11)))
| X12 = host(X10) ) )
& setIn(X11,alive)
& leq(nbr_proc,s(host(X11)))
& elem(m_Down(X9),queue(host(X11)))
& elem(m_Down(X10),queue(host(X11)))
& host(X9) = s(host(X11))
& index(status,host(X11)) = elec_1 )
=> ~ ( setIn(X8,alive)
& host(X2) = host(X8) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& setIn(host(X5),index(down,host(X4)))
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& setIn(host(X5),index(down,host(X4))) ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X4)))
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& host(X6) = host(X5)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X6),queue(host(X4))) ) )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> X5 = X4 )
& ! [X4,X6,X5] :
( ( ~ leq(host(X6),host(X5))
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& elem(m_Down(X7),queue(host(X6))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(host(X7),index(down,host(X6))) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = wait
& host(index(elid,host(X5))) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X4,alive)
& leq(host(X4),host(X5))
& elem(m_Down(X6),queue(host(X5)))
& host(X7) = host(X5)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X4,X7),queue(host(X4))) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X5,alive)
& leq(nbr_proc,s(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Down(X7),queue(host(X5)))
& host(X7) = s(host(X5))
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( ~ ( setIn(host(X4),index(acks,host(X2)))
| host(X4) = host(X3) )
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X2) != host(X11)
=> ( ( ! [X12] :
( ( ~ leq(host(X11),X12)
& leq(s(zero),X12) )
=> ( setIn(X12,index(down,host(X11)))
| X12 = host(X10) ) )
& setIn(X11,alive)
& leq(nbr_proc,s(host(X11)))
& elem(m_Down(X9),queue(host(X11)))
& elem(m_Down(X10),queue(host(X11)))
& host(X9) = s(host(X11))
& index(status,host(X11)) = elec_1 )
=> ~ ( setIn(X8,alive)
& host(X2) = host(X8) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X6) != host(X7) )
& ! [X8,X9] :
( ( X8 != X9
& host(X8) = host(X9) )
=> ( ~ setIn(X8,alive)
| ~ setIn(X9,alive) ) )
& ! [X10] :
( ( ( elec_1 = index(status,host(X10))
| elec_2 = index(status,host(X10)) )
& setIn(X10,alive) )
=> index(elid,host(X10)) = X10 )
& ! [X11,X12] :
( ( setIn(X11,alive)
& setIn(X12,alive)
& setIn(host(X12),index(down,host(X11)))
& elec_2 = index(status,host(X12)) )
=> leq(index(pendack,host(X12)),host(X11)) )
& ! [X13,X14] :
( ( setIn(X14,alive)
& norm = index(status,host(X14))
& host(X14) = index(ldr,host(X14)) )
=> ~ ( setIn(X13,alive)
& setIn(host(X14),index(down,host(X13))) ) )
& ! [X15,X16,X17] :
( ( setIn(X15,alive)
& setIn(X17,alive)
& elem(m_Down(X16),queue(host(X15)))
& host(X17) = host(X16)
& elec_2 = index(status,host(X17)) )
=> leq(index(pendack,host(X17)),host(X15)) )
& ! [X18,X19,X20] :
( ( setIn(X20,alive)
& host(X20) = host(X19)
& norm = index(status,host(X20))
& host(X20) = index(ldr,host(X20)) )
=> ~ ( setIn(X18,alive)
& elem(m_Down(X19),queue(host(X18))) ) )
& ! [X21,X22] :
( ( setIn(X21,alive)
& setIn(X22,alive)
& host(X21) = index(ldr,host(X21))
& norm = index(status,host(X21))
& norm = index(status,host(X22))
& host(X22) = index(ldr,host(X22)) )
=> X21 = X22 )
& ! [X23,X24,X25] :
( ( ~ leq(host(X24),host(X25))
& setIn(X25,alive)
& elem(m_Down(X24),queue(host(X25)))
& host(X24) = host(X23) )
=> ~ ( setIn(X23,alive)
& host(X23) = index(ldr,host(X23))
& norm = index(status,host(X23)) ) )
& ! [X26,X27,X28,X29] :
( ( host(X26) != host(X28)
& setIn(X26,alive)
& setIn(X28,alive)
& host(X26) = host(X27)
& host(X28) = host(X29) )
=> ~ ( elem(m_Down(X29),queue(host(X26)))
& elem(m_Down(X27),queue(host(X28))) ) )
& ! [X30,X31,X32,X33] :
( ( host(X30) != host(X32)
& setIn(X30,alive)
& setIn(X32,alive)
& host(X30) = host(X31)
& host(X32) = host(X33) )
=> ~ ( elem(m_Down(X33),queue(host(X30)))
& setIn(host(X31),index(down,host(X32))) ) )
& ! [X34,X35,X36] :
( ( host(X36) != host(X35)
& setIn(X36,alive)
& elem(m_Down(X34),queue(host(X36)))
& host(X35) = host(X34)
& norm = index(status,host(X36))
& host(X35) = index(ldr,host(X36)) )
=> ~ ( setIn(X35,alive)
& norm = index(status,host(X35))
& host(X35) = index(ldr,host(X35)) ) )
& ! [X37,X38,X39] :
( ( host(X39) != host(X38)
& setIn(X39,alive)
& elem(m_Down(X37),queue(host(X39)))
& host(X38) = host(X37)
& wait = index(status,host(X39))
& host(X38) = host(index(elid,host(X39))) )
=> ~ ( setIn(X38,alive)
& norm = index(status,host(X38))
& host(X38) = index(ldr,host(X38)) ) )
& ! [X40,X41,X42,X43] :
( ( ! [X44] :
( ( ~ leq(host(X43),X44)
& leq(s(zero),X44) )
=> ( setIn(X44,index(down,host(X43)))
| host(X42) = X44 ) )
& setIn(X40,alive)
& leq(host(X40),host(X43))
& elem(m_Down(X42),queue(host(X43)))
& host(X43) = host(X41)
& elec_2 = index(status,host(X40))
& elec_1 = index(status,host(X43)) )
=> ~ elem(m_Ack(X40,X41),queue(host(X40))) )
& ! [X45,X46,X47,X48] :
( ( ! [X49] :
( ( ~ leq(host(X48),X49)
& leq(s(zero),X49) )
=> ( setIn(X49,index(down,host(X48)))
| host(X47) = X49 ) )
& setIn(X48,alive)
& leq(nbr_proc,s(host(X48)))
& elem(m_Down(X47),queue(host(X48)))
& elem(m_Down(X46),queue(host(X48)))
& s(host(X48)) = host(X46)
& elec_1 = index(status,host(X48)) )
=> ~ ( setIn(X45,alive)
& host(X45) = index(ldr,host(X45))
& norm = index(status,host(X45)) ) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X50] :
( ~ ( setIn(host(X50),index(acks,host(X2)))
| host(X3) = host(X50) )
=> ! [X51] :
( host(X2) = host(X51)
=> ! [X52,X53,X54] :
( host(X2) != host(X54)
=> ( ( ! [X55] :
( ( ~ leq(host(X54),X55)
& leq(s(zero),X55) )
=> ( setIn(X55,index(down,host(X54)))
| host(X53) = X55 ) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& elem(m_Down(X53),queue(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54)) )
=> ~ ( setIn(X51,alive)
& host(X2) = host(X51) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X1,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( setIn(X51,alive)
& host(X2) = host(X51)
& ! [X55] :
( setIn(X55,index(down,host(X54)))
| host(X53) = X55
| leq(host(X54),X55)
| ~ leq(s(zero),X55) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& elem(m_Down(X53),queue(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54))
& host(X2) != host(X54) )
& host(X2) = host(X51) )
& ~ setIn(host(X50),index(acks,host(X2)))
& host(X3) != host(X50) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( host(X6) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ setIn(X8,alive)
| ~ setIn(X9,alive)
| X8 = X9
| host(X8) != host(X9) )
& ! [X10] :
( index(elid,host(X10)) = X10
| ( elec_1 != index(status,host(X10))
& elec_2 != index(status,host(X10)) )
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( leq(index(pendack,host(X12)),host(X11))
| ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12)) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X14,alive)
| norm != index(status,host(X14))
| host(X14) != index(ldr,host(X14)) )
& ! [X15,X16,X17] :
( leq(index(pendack,host(X17)),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X16),queue(host(X15)))
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19,X20] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| host(X20) != host(X19)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20)) )
& ! [X21,X22] :
( X21 = X22
| ~ setIn(X21,alive)
| ~ setIn(X22,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| leq(host(X24),host(X25))
| ~ setIn(X25,alive)
| ~ elem(m_Down(X24),queue(host(X25)))
| host(X24) != host(X23) )
& ! [X26,X27,X28,X29] :
( ~ elem(m_Down(X29),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X28)))
| host(X26) = host(X28)
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| host(X26) != host(X27)
| host(X28) != host(X29) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X33),queue(host(X30)))
| ~ setIn(host(X31),index(down,host(X32)))
| host(X30) = host(X32)
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X30) != host(X31)
| host(X32) != host(X33) )
& ! [X34,X35,X36] :
( ~ setIn(X35,alive)
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| host(X36) = host(X35)
| ~ setIn(X36,alive)
| ~ elem(m_Down(X34),queue(host(X36)))
| host(X35) != host(X34)
| norm != index(status,host(X36))
| host(X35) != index(ldr,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X38,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| host(X39) = host(X38)
| ~ setIn(X39,alive)
| ~ elem(m_Down(X37),queue(host(X39)))
| host(X38) != host(X37)
| wait != index(status,host(X39))
| host(X38) != host(index(elid,host(X39))) )
& ! [X40,X41,X42,X43] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| ? [X44] :
( ~ setIn(X44,index(down,host(X43)))
& host(X42) != X44
& ~ leq(host(X43),X44)
& leq(s(zero),X44) )
| ~ setIn(X40,alive)
| ~ leq(host(X40),host(X43))
| ~ elem(m_Down(X42),queue(host(X43)))
| host(X43) != host(X41)
| elec_2 != index(status,host(X40))
| elec_1 != index(status,host(X43)) )
& ! [X45,X46,X47,X48] :
( ~ setIn(X45,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ? [X49] :
( ~ setIn(X49,index(down,host(X48)))
& host(X47) != X49
& ~ leq(host(X48),X49)
& leq(s(zero),X49) )
| ~ setIn(X48,alive)
| ~ leq(nbr_proc,s(host(X48)))
| ~ elem(m_Down(X47),queue(host(X48)))
| ~ elem(m_Down(X46),queue(host(X48)))
| s(host(X48)) != host(X46)
| elec_1 != index(status,host(X48)) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X1,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( setIn(X51,alive)
& host(X2) = host(X51)
& ! [X55] :
( setIn(X55,index(down,host(X54)))
| host(X53) = X55
| leq(host(X54),X55)
| ~ leq(s(zero),X55) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),queue(host(X54)))
& elem(m_Down(X53),queue(host(X54)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54))
& host(X2) != host(X54) )
& host(X2) = host(X51) )
& ~ setIn(host(X50),index(acks,host(X2)))
& host(X3) != host(X50) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( host(X6) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ setIn(X8,alive)
| ~ setIn(X9,alive)
| X8 = X9
| host(X8) != host(X9) )
& ! [X10] :
( index(elid,host(X10)) = X10
| ( elec_1 != index(status,host(X10))
& elec_2 != index(status,host(X10)) )
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( leq(index(pendack,host(X12)),host(X11))
| ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12)) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X14,alive)
| norm != index(status,host(X14))
| host(X14) != index(ldr,host(X14)) )
& ! [X15,X16,X17] :
( leq(index(pendack,host(X17)),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X16),queue(host(X15)))
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19,X20] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| host(X20) != host(X19)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20)) )
& ! [X21,X22] :
( X21 = X22
| ~ setIn(X21,alive)
| ~ setIn(X22,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| leq(host(X24),host(X25))
| ~ setIn(X25,alive)
| ~ elem(m_Down(X24),queue(host(X25)))
| host(X24) != host(X23) )
& ! [X26,X27,X28,X29] :
( ~ elem(m_Down(X29),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X28)))
| host(X26) = host(X28)
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| host(X26) != host(X27)
| host(X28) != host(X29) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X33),queue(host(X30)))
| ~ setIn(host(X31),index(down,host(X32)))
| host(X30) = host(X32)
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X30) != host(X31)
| host(X32) != host(X33) )
& ! [X34,X35,X36] :
( ~ setIn(X35,alive)
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| host(X36) = host(X35)
| ~ setIn(X36,alive)
| ~ elem(m_Down(X34),queue(host(X36)))
| host(X35) != host(X34)
| norm != index(status,host(X36))
| host(X35) != index(ldr,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X38,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| host(X39) = host(X38)
| ~ setIn(X39,alive)
| ~ elem(m_Down(X37),queue(host(X39)))
| host(X38) != host(X37)
| wait != index(status,host(X39))
| host(X38) != host(index(elid,host(X39))) )
& ! [X40,X41,X42,X43] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| ? [X44] :
( ~ setIn(X44,index(down,host(X43)))
& host(X42) != X44
& ~ leq(host(X43),X44)
& leq(s(zero),X44) )
| ~ setIn(X40,alive)
| ~ leq(host(X40),host(X43))
| ~ elem(m_Down(X42),queue(host(X43)))
| host(X43) != host(X41)
| elec_2 != index(status,host(X40))
| elec_1 != index(status,host(X43)) )
& ! [X45,X46,X47,X48] :
( ~ setIn(X45,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ? [X49] :
( ~ setIn(X49,index(down,host(X48)))
& host(X47) != X49
& ~ leq(host(X48),X49)
& leq(s(zero),X49) )
| ~ setIn(X48,alive)
| ~ leq(nbr_proc,s(host(X48)))
| ~ elem(m_Down(X47),queue(host(X48)))
| ~ elem(m_Down(X46),queue(host(X48)))
| s(host(X48)) != host(X46)
| elec_1 != index(status,host(X48)) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) ),
inference(flattening,[],[f85]) ).
fof(f90,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f92,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f59]) ).
fof(f171,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f60]) ).
fof(f173,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ leq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f62]) ).
fof(f177,plain,
! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f178,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f179,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f183,plain,
! [X55] :
( ~ leq(s(zero),X55)
| leq(host(sK13),X55)
| host(sK12) = X55
| setIn(X55,index(down,host(sK13))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f184,plain,
host(sK13) != host(sK5),
inference(cnf_transformation,[],[f86]) ).
fof(f186,plain,
s(host(sK13)) = host(sK11),
inference(cnf_transformation,[],[f86]) ).
fof(f187,plain,
elem(m_Down(sK12),queue(host(sK13))),
inference(cnf_transformation,[],[f86]) ).
fof(f188,plain,
elem(m_Down(sK11),queue(host(sK13))),
inference(cnf_transformation,[],[f86]) ).
fof(f189,plain,
leq(nbr_proc,s(host(sK13))),
inference(cnf_transformation,[],[f86]) ).
fof(f190,plain,
setIn(sK13,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f191,plain,
host(sK5) = host(sK10),
inference(cnf_transformation,[],[f86]) ).
fof(f192,plain,
setIn(sK10,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f209,plain,
! [X11,X12] :
( ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12))
| ~ setIn(X12,alive)
| ~ setIn(X11,alive)
| leq(index(pendack,host(X12)),host(X11)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f211,plain,
! [X16,X17,X15] :
( 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)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f220,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f221,plain,
host(sK6) = index(pendack,host(sK5)),
inference(cnf_transformation,[],[f86]) ).
fof(f222,plain,
elec_2 = index(status,host(sK5)),
inference(cnf_transformation,[],[f86]) ).
fof(f224,plain,
leq(nbr_proc,index(pendack,host(sK5))),
inference(cnf_transformation,[],[f86]) ).
fof(f273,plain,
! [X16,X17,X15] :
( 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)) ),
inference(consistent_polarity_flipping,[],[f211]) ).
fof(f284,plain,
~ elem(m_Down(sK11),queue(host(sK13))),
inference(consistent_polarity_flipping,[],[f188]) ).
fof(f285,plain,
~ elem(m_Down(sK12),queue(host(sK13))),
inference(consistent_polarity_flipping,[],[f187]) ).
fof(f305,plain,
leq(nbr_proc,host(sK11)),
inference(superposition,[],[f189,f186]) ).
fof(f306,plain,
leq(nbr_proc,host(sK6)),
inference(superposition,[],[f224,f221]) ).
fof(f353,plain,
! [X0] :
( ~ setIn(host(sK5),index(down,host(X0)))
| elec_2 != index(status,host(sK5))
| ~ setIn(sK10,alive)
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK5)),host(X0)) ),
inference(superposition,[],[f209,f191]) ).
fof(f356,plain,
! [X0] :
( ~ setIn(host(sK5),index(down,host(X0)))
| ~ setIn(sK10,alive)
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK5)),host(X0)) ),
inference(forward_subsumption_resolution,[],[f353,f222]) ).
fof(f357,plain,
! [X0] :
( ~ setIn(host(sK5),index(down,host(X0)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK5)),host(X0)) ),
inference(forward_subsumption_resolution,[],[f356,f192]) ).
fof(f358,plain,
! [X0] :
( ~ setIn(host(sK5),index(down,host(X0)))
| leq(host(sK6),host(X0))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[],[f357,f221]) ).
fof(f383,plain,
! [X0,X1] :
( elec_2 != elec_2
| host(X0) != host(sK5)
| elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK5,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(sK5)),host(X1)) ),
inference(superposition,[],[f273,f222]) ).
fof(f384,plain,
! [X0,X1] :
( host(X0) != host(sK5)
| elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK5,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(sK5)),host(X1)) ),
inference(trivial_inequality_removal,[],[f383]) ).
fof(f385,plain,
! [X0,X1] :
( host(X0) != host(sK5)
| elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| leq(index(pendack,host(sK5)),host(X1)) ),
inference(forward_subsumption_resolution,[],[f384,f220]) ).
fof(f387,plain,
! [X0,X1] :
( leq(host(sK6),host(X1))
| host(X0) != host(sK5)
| elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) ),
inference(forward_demodulation,[],[f385,f221]) ).
fof(f470,plain,
~ leq(host(sK11),host(sK13)),
inference(superposition,[],[f170,f186]) ).
fof(f485,plain,
! [X0] :
( setIn(host(X0),index(down,host(sK13)))
| host(X0) = host(sK12)
| leq(host(sK13),host(X0)) ),
inference(resolution,[],[f90,f183]) ).
fof(f540,plain,
! [X0] :
( ~ leq(s(X0),host(sK11))
| leq(X0,host(sK13)) ),
inference(superposition,[],[f177,f186]) ).
fof(f544,plain,
! [X0] :
( leq(host(sK11),s(X0))
| ~ leq(host(sK13),X0) ),
inference(superposition,[],[f178,f186]) ).
fof(f575,plain,
! [X0] :
( ~ leq(nbr_proc,host(X0))
| host(X0) = nbr_proc ),
inference(resolution,[],[f173,f92]) ).
fof(f583,plain,
( ~ leq(host(sK11),nbr_proc)
| nbr_proc = host(sK11) ),
inference(resolution,[],[f173,f305]) ).
fof(f584,plain,
( ~ leq(host(sK6),nbr_proc)
| nbr_proc = host(sK6) ),
inference(resolution,[],[f173,f306]) ).
fof(f585,plain,
nbr_proc = host(sK6),
inference(forward_subsumption_resolution,[],[f584,f92]) ).
fof(f586,plain,
nbr_proc = host(sK11),
inference(forward_subsumption_resolution,[],[f583,f92]) ).
fof(f638,definition,
( spl14_31
<=> nbr_proc = host(sK5) ),
introduced(definition,[new_symbols(definition,[spl14_31])],[avatar_definition]) ).
fof(f766,plain,
~ leq(nbr_proc,host(sK13)),
inference(superposition,[],[f470,f586]) ).
fof(f1022,plain,
! [X0] :
( ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK13)) ),
inference(forward_demodulation,[],[f540,f586]) ).
fof(f1031,plain,
! [X0] :
( ~ leq(host(sK13),X0)
| leq(nbr_proc,s(X0)) ),
inference(forward_demodulation,[],[f544,f586]) ).
fof(f1104,plain,
( host(sK12) = host(sK5)
| leq(host(sK13),host(sK5))
| leq(host(sK6),host(sK13))
| ~ setIn(sK13,alive) ),
inference(resolution,[],[f485,f358]) ).
fof(f1108,plain,
( host(sK12) = host(sK5)
| leq(host(sK13),host(sK5))
| leq(host(sK6),host(sK13)) ),
inference(forward_subsumption_resolution,[],[f1104,f190]) ).
fof(f1111,plain,
( leq(nbr_proc,host(sK13))
| host(sK12) = host(sK5)
| leq(host(sK13),host(sK5)) ),
inference(forward_demodulation,[],[f1108,f585]) ).
fof(f1112,plain,
( host(sK12) = host(sK5)
| leq(host(sK13),host(sK5)) ),
inference(forward_subsumption_resolution,[],[f1111,f766]) ).
fof(f1114,definition,
( spl14_73
<=> leq(host(sK13),host(sK5)) ),
introduced(definition,[new_symbols(definition,[spl14_73])],[avatar_definition]) ).
fof(f1116,plain,
( leq(host(sK13),host(sK5))
| ~ spl14_73 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1118,definition,
( spl14_74
<=> host(sK12) = host(sK5) ),
introduced(definition,[new_symbols(definition,[spl14_74])],[avatar_definition]) ).
fof(f1121,plain,
( spl14_73
| spl14_74 ),
inference(avatar_split_clause,[],[f1112,f1118,f1114]) ).
fof(f1153,plain,
! [X0,X1] :
( ~ setIn(X1,alive)
| host(X0) != host(sK5)
| elem(m_Down(X0),queue(host(X1)))
| leq(nbr_proc,host(X1)) ),
inference(forward_demodulation,[],[f387,f585]) ).
fof(f1154,plain,
! [X0] :
( host(X0) != host(sK5)
| elem(m_Down(X0),queue(host(sK13)))
| leq(nbr_proc,host(sK13)) ),
inference(resolution,[],[f1153,f190]) ).
fof(f1158,plain,
! [X0] :
( host(X0) != host(sK5)
| elem(m_Down(X0),queue(host(sK13))) ),
inference(forward_subsumption_resolution,[],[f1154,f766]) ).
fof(f1183,definition,
( spl14_78
<=> ! [X1] :
( host(X1) != host(sK5)
| elem(m_Down(X1),queue(host(sK13))) ) ),
introduced(definition,[new_symbols(definition,[spl14_78])],[avatar_definition]) ).
fof(f1184,plain,
( ! [X1] :
( elem(m_Down(X1),queue(host(sK13)))
| host(X1) != host(sK5) )
| ~ spl14_78 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1220,plain,
( leq(nbr_proc,s(host(sK5)))
| ~ spl14_73 ),
inference(resolution,[],[f1116,f1031]) ).
fof(f1222,plain,
( ~ leq(host(sK5),host(sK13))
| host(sK13) = host(sK5)
| ~ spl14_73 ),
inference(resolution,[],[f1116,f173]) ).
fof(f1223,plain,
( ~ leq(host(sK5),host(sK13))
| ~ spl14_73 ),
inference(forward_subsumption_resolution,[],[f1222,f184]) ).
fof(f1231,definition,
( spl14_85
<=> leq(host(sK5),host(sK13)) ),
introduced(definition,[new_symbols(definition,[spl14_85])],[avatar_definition]) ).
fof(f1233,plain,
( ~ leq(host(sK5),host(sK13))
| spl14_85 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f1280,plain,
( nbr_proc = s(host(sK5))
| leq(nbr_proc,host(sK5))
| ~ spl14_73 ),
inference(resolution,[],[f1220,f179]) ).
fof(f1284,definition,
( spl14_91
<=> nbr_proc = s(host(sK5)) ),
introduced(definition,[new_symbols(definition,[spl14_91])],[avatar_definition]) ).
fof(f1285,plain,
( nbr_proc != s(host(sK5))
| spl14_91 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f1286,plain,
( nbr_proc = s(host(sK5))
| ~ spl14_91 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f1293,definition,
( spl14_93
<=> leq(nbr_proc,host(sK5)) ),
introduced(definition,[new_symbols(definition,[spl14_93])],[avatar_definition]) ).
fof(f1295,plain,
( leq(nbr_proc,host(sK5))
| ~ spl14_93 ),
inference(avatar_component_clause,[],[f1293]) ).
fof(f1528,plain,
( ~ spl14_85
| ~ spl14_73 ),
inference(avatar_split_clause,[],[f1223,f1114,f1231]) ).
fof(f1906,plain,
( ~ leq(nbr_proc,nbr_proc)
| leq(host(sK5),host(sK13))
| ~ spl14_91 ),
inference(superposition,[],[f1022,f1286]) ).
fof(f1907,plain,
( leq(host(sK5),host(sK13))
| ~ spl14_91 ),
inference(forward_subsumption_resolution,[],[f1906,f171]) ).
fof(f1909,plain,
( $false
| spl14_85
| ~ spl14_91 ),
inference(forward_subsumption_resolution,[],[f1907,f1233]) ).
fof(f1910,plain,
( spl14_85
| ~ spl14_91 ),
inference(avatar_contradiction_clause,[],[f1909]) ).
fof(f1911,plain,
( nbr_proc = host(sK5)
| ~ spl14_93 ),
inference(resolution,[],[f1295,f575]) ).
fof(f1917,plain,
( spl14_31
| ~ spl14_93 ),
inference(avatar_split_clause,[],[f1911,f1293,f638]) ).
fof(f2509,plain,
spl14_78,
inference(avatar_split_clause,[],[f1158,f1183]) ).
fof(f2510,plain,
( host(sK5) != host(sK11)
| ~ spl14_78 ),
inference(resolution,[],[f1184,f284]) ).
fof(f2511,plain,
( host(sK12) != host(sK5)
| ~ spl14_78 ),
inference(resolution,[],[f1184,f285]) ).
fof(f2515,plain,
( nbr_proc != host(sK5)
| ~ spl14_78 ),
inference(forward_demodulation,[],[f2510,f586]) ).
fof(f2531,plain,
( leq(nbr_proc,host(sK5))
| ~ spl14_73
| spl14_91 ),
inference(forward_subsumption_resolution,[],[f1280,f1285]) ).
fof(f2541,plain,
( ~ spl14_74
| ~ spl14_78 ),
inference(avatar_split_clause,[],[f2511,f1183,f1118]) ).
fof(f2547,plain,
( ~ spl14_31
| ~ spl14_78 ),
inference(avatar_split_clause,[],[f2515,f1183,f638]) ).
fof(f2549,plain,
( spl14_93
| ~ spl14_73
| spl14_91 ),
inference(avatar_split_clause,[],[f2531,f1284,f1114,f1293]) ).
cnf(s69,plain,
( spl14_73
| spl14_74 ),
inference(sat_conversion,[],[f1121]) ).
cnf(s95,plain,
( ~ spl14_73
| ~ spl14_85 ),
inference(sat_conversion,[],[f1528]) ).
cnf(s101,plain,
( spl14_85
| ~ spl14_91 ),
inference(sat_conversion,[],[f1910]) ).
cnf(s102,plain,
( spl14_31
| ~ spl14_93 ),
inference(sat_conversion,[],[f1917]) ).
cnf(s147,plain,
spl14_78,
inference(sat_conversion,[],[f2509]) ).
cnf(s172,plain,
( ~ spl14_74
| ~ spl14_78 ),
inference(sat_conversion,[],[f2541]) ).
cnf(s174,plain,
( ~ spl14_31
| ~ spl14_78 ),
inference(sat_conversion,[],[f2547]) ).
cnf(s177,plain,
( ~ spl14_73
| spl14_91
| spl14_93 ),
inference(sat_conversion,[],[f2549]) ).
cnf(s182,plain,
~ spl14_31,
inference(rat,[],[s174,s147]) ).
cnf(s183,plain,
~ spl14_74,
inference(rat,[],[s172,s147]) ).
cnf(s185,plain,
~ spl14_93,
inference(rat,[],[s102,s182]) ).
cnf(s191,plain,
spl14_73,
inference(rat,[],[s69,s183]) ).
cnf(s192,plain,
spl14_91,
inference(rat,[],[s177,s185,s191]) ).
cnf(s193,plain,
~ spl14_85,
inference(rat,[],[s95,s191]) ).
cnf(s194,plain,
$false,
inference(rat,[],[s101,s192,s193]) ).
fof(f2556,plain,
$false,
inference(avatar_sat_refutation,[],[s194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV477+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n019.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 11:11:09 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.29 % (3941886)Will run a generic schedule for satisfiability detection.
% 0.17/0.29 % (3941892)% WARNING: option uhcvi not known.
% 0.17/0.29 % (3941892)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=773996889:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.29 % (3941891)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1603120518_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.29 % (3941893)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2605865683:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.29 % (3941894)dis+10_1_sil=32000:sp=arity:random_seed=139904418:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.29 % (3941895)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=215856966:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.29 % (3941897)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=335318814:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.29 % (3941896)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1215582055:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.29 % Detected minimum model sizes of [4]
% 0.17/0.29 % Detected maximum model sizes of [max]
% 0.17/0.29 % TRYING [4]
% 0.17/0.29 % (3941892) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3941886-3941892"...
% 0.17/0.29 % (3941892)...printing done.
% 0.17/0.29 % (3941892)Refutation found. Thanks to Tanya!
% 0.17/0.29 % SZS status Theorem for theBenchmark
% 0.17/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.29 % (3941892)------------------------------
% 0.17/0.29 % (3941892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.29 % (3941892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.29 % (3941892)CaDiCaL version: 2.1.3
% 0.17/0.29 % (3941892)Termination reason: Refutation
% 0.17/0.29 % (3941892)Time elapsed: 0.041 s
% 0.17/0.29 % (3941892)Peak memory usage: 14 MB
% 0.17/0.29 % (3941892)Instructions burned: 111 (million)
% 0.17/0.29 % (3941886)Success in time 0.069 s
% 0.17/0.29 % Vampire exiting
%------------------------------------------------------------------------------