%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV457+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 01:24:19 PM UTC 2026
% Result : Theorem 0.23s 0.34s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of formulae : 112 ( 31 unt; 6 def)
% Number of atoms : 773 ( 278 equ)
% Maximal formula atoms : 72 ( 6 avg)
% Number of connectives : 1101 ( 440 ~; 318 |; 269 &)
% ( 9 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 17 con; 0-2 aty)
% Number of variables : 370 ( 0 sgn 352 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f32,axiom,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_32) ).
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(f48,axiom,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(f67,conjecture,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( elem(m_Ack(X4,X3),queue(host(X4)))
=> setIn(X4,pids) )
& ! [X3,X4] :
( elem(m_Down(X4),queue(host(X3)))
=> ~ setIn(X4,alive) )
& ! [X3,X4] :
( elem(m_Ldr(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X3,X4,X5] :
( elem(m_Ack(X5,X3),queue(host(X4)))
=> ~ leq(host(X3),host(X5)) )
& ! [X3,X4] :
( ( ~ setIn(X3,alive)
& leq(X4,X3)
& host(X4) = host(X3) )
=> ~ setIn(X4,alive) )
& ! [X3,X4] :
( ( X4 != X3
& host(X4) = host(X3) )
=> ( ~ setIn(X3,alive)
| ~ setIn(X4,alive) ) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& elem(m_Ack(X4,X3),queue(host(X4))) )
=> leq(host(X3),index(pendack,host(X4))) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& index(status,host(X4)) = elec_1 )
=> ~ elem(m_Ack(X3,X4),queue(host(X3))) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& index(status,host(X4)) = elec_1 )
=> ~ elem(m_Ack(X4,X3),queue(host(X4))) )
& ! [X3] :
( ( ( index(status,host(X3)) = elec_1
| index(status,host(X3)) = elec_2 )
& setIn(X3,alive) )
=> index(elid,host(X3)) = X3 )
& ! [X3,X4,X5] :
( ( elem(m_Down(X3),queue(host(X4)))
& elem(m_Ack(X5,X4),queue(host(X5)))
& host(X5) = host(X3) )
=> ~ setIn(X5,alive) )
& ! [X3,X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Ack(X5,X3),queue(host(X5)))
& host(X4) = host(X3) )
=> ~ setIn(host(X5),index(down,host(X4))) )
& ! [X3,X4] :
( ( ~ leq(host(X3),host(X4))
& setIn(X3,alive)
& setIn(X4,alive)
& index(status,host(X3)) = elec_2
& index(status,host(X4)) = elec_2 )
=> ~ leq(index(pendack,host(X3)),index(pendack,host(X4))) )
& ! [X3,X4,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X3))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X4)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& ! [X3,X4,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X4),queue(host(X5)))
& leq(nbr_proc,index(pendack,host(X5)))
& index(status,host(X5)) = elec_2
& host(X4) = index(pendack,host(X5)) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& queue(host(X1)) = cons(m_Halt(X2),X0) )
=> ( setIn(X1,alive)
=> ! [X3] :
( host(X1) != host(X3)
=> ! [X4,X6] :
( host(X2) = host(X6)
=> ( host(X1) != host(X6)
=> ( ( setIn(X6,alive)
& leq(nbr_proc,index(pendack,host(X6)))
& elem(m_Ack(X6,X4),snoc(queue(host(X6)),m_Ack(X2,X1)))
& index(status,host(X6)) = elec_2
& host(X4) = index(pendack,host(X6)) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ! [X3,X4] :
( elem(m_Ack(X4,X3),queue(host(X4)))
=> setIn(X4,pids) )
& ! [X3,X4] :
( elem(m_Down(X4),queue(host(X3)))
=> ~ setIn(X4,alive) )
& ! [X3,X4] :
( elem(m_Ldr(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X3,X4,X5] :
( elem(m_Ack(X5,X3),queue(host(X4)))
=> ~ leq(host(X3),host(X5)) )
& ! [X3,X4] :
( ( ~ setIn(X3,alive)
& leq(X4,X3)
& host(X4) = host(X3) )
=> ~ setIn(X4,alive) )
& ! [X3,X4] :
( ( X4 != X3
& host(X4) = host(X3) )
=> ( ~ setIn(X3,alive)
| ~ setIn(X4,alive) ) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& elem(m_Ack(X4,X3),queue(host(X4))) )
=> leq(host(X3),index(pendack,host(X4))) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& index(status,host(X4)) = elec_1 )
=> ~ elem(m_Ack(X3,X4),queue(host(X3))) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& index(status,host(X4)) = elec_1 )
=> ~ elem(m_Ack(X4,X3),queue(host(X4))) )
& ! [X3] :
( ( ( index(status,host(X3)) = elec_1
| index(status,host(X3)) = elec_2 )
& setIn(X3,alive) )
=> index(elid,host(X3)) = X3 )
& ! [X3,X4,X5] :
( ( elem(m_Down(X3),queue(host(X4)))
& elem(m_Ack(X5,X4),queue(host(X5)))
& host(X5) = host(X3) )
=> ~ setIn(X5,alive) )
& ! [X3,X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Ack(X5,X3),queue(host(X5)))
& host(X4) = host(X3) )
=> ~ setIn(host(X5),index(down,host(X4))) )
& ! [X3,X4] :
( ( ~ leq(host(X3),host(X4))
& setIn(X3,alive)
& setIn(X4,alive)
& index(status,host(X3)) = elec_2
& index(status,host(X4)) = elec_2 )
=> ~ leq(index(pendack,host(X3)),index(pendack,host(X4))) )
& ! [X3,X4,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X3))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X4)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& ! [X3,X4,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X4),queue(host(X5)))
& leq(nbr_proc,index(pendack,host(X5)))
& index(status,host(X5)) = elec_2
& host(X4) = index(pendack,host(X5)) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& queue(host(X1)) = cons(m_Halt(X2),X0) )
=> ( setIn(X1,alive)
=> ! [X3] :
( host(X1) != host(X3)
=> ! [X4,X6] :
( host(X2) = host(X6)
=> ( host(X1) != host(X6)
=> ( ( setIn(X6,alive)
& leq(nbr_proc,index(pendack,host(X6)))
& elem(m_Ack(X6,X4),snoc(queue(host(X6)),m_Ack(X2,X1)))
& index(status,host(X6)) = elec_2
& host(X4) = index(pendack,host(X6)) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X1,X2] :
( ( ! [X3,X4] :
( elem(m_Ack(X4,X3),queue(host(X4)))
=> setIn(X4,pids) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> ~ setIn(X6,alive) )
& ! [X7,X8] :
( elem(m_Ldr(X8),queue(host(X7)))
=> ~ leq(host(X7),host(X8)) )
& ! [X9,X10,X11] :
( elem(m_Ack(X11,X9),queue(host(X10)))
=> ~ leq(host(X9),host(X11)) )
& ! [X12,X13] :
( ( ~ setIn(X12,alive)
& leq(X13,X12)
& host(X13) = host(X12) )
=> ~ setIn(X13,alive) )
& ! [X14,X15] :
( ( X14 != X15
& host(X15) = host(X14) )
=> ( ~ setIn(X14,alive)
| ~ setIn(X15,alive) ) )
& ! [X16,X17] :
( ( setIn(X17,alive)
& elem(m_Ack(X17,X16),queue(host(X17))) )
=> leq(host(X16),index(pendack,host(X17))) )
& ! [X18,X19] :
( ( setIn(X19,alive)
& elec_1 = index(status,host(X19)) )
=> ~ elem(m_Ack(X18,X19),queue(host(X18))) )
& ! [X20,X21] :
( ( setIn(X21,alive)
& elec_1 = index(status,host(X21)) )
=> ~ elem(m_Ack(X21,X20),queue(host(X21))) )
& ! [X22] :
( ( ( elec_1 = index(status,host(X22))
| elec_2 = index(status,host(X22)) )
& setIn(X22,alive) )
=> index(elid,host(X22)) = X22 )
& ! [X23,X24,X25] :
( ( elem(m_Down(X23),queue(host(X24)))
& elem(m_Ack(X25,X24),queue(host(X25)))
& host(X25) = host(X23) )
=> ~ setIn(X25,alive) )
& ! [X26,X27,X28] :
( ( setIn(X27,alive)
& setIn(X28,alive)
& elem(m_Ack(X28,X26),queue(host(X28)))
& host(X27) = host(X26) )
=> ~ setIn(host(X28),index(down,host(X27))) )
& ! [X29,X30] :
( ( ~ leq(host(X29),host(X30))
& setIn(X29,alive)
& setIn(X30,alive)
& elec_2 = index(status,host(X29))
& elec_2 = index(status,host(X30)) )
=> ~ leq(index(pendack,host(X29)),index(pendack,host(X30))) )
& ! [X31,X32,X33] :
( ( ~ leq(index(pendack,host(X33)),host(X31))
& setIn(X33,alive)
& elem(m_Halt(X33),queue(host(X32)))
& elec_2 = index(status,host(X33)) )
=> ~ ( setIn(X31,alive)
& host(X31) = index(ldr,host(X31))
& norm = index(status,host(X31)) ) )
& ! [X34,X35,X36] :
( ( setIn(X36,alive)
& elem(m_Ack(X36,X35),queue(host(X36)))
& leq(nbr_proc,index(pendack,host(X36)))
& elec_2 = index(status,host(X36))
& index(pendack,host(X36)) = host(X35) )
=> ~ ( setIn(X34,alive)
& host(X34) = index(ldr,host(X34))
& norm = index(status,host(X34)) ) )
& queue(host(X1)) = cons(m_Halt(X2),X0) )
=> ( setIn(X1,alive)
=> ! [X37] :
( host(X1) != host(X37)
=> ! [X38,X39] :
( host(X2) = host(X39)
=> ( host(X1) != host(X39)
=> ( ( setIn(X39,alive)
& leq(nbr_proc,index(pendack,host(X39)))
& elem(m_Ack(X39,X38),snoc(queue(host(X39)),m_Ack(X2,X1)))
& elec_2 = index(status,host(X39))
& index(pendack,host(X39)) = host(X38) )
=> ~ ( setIn(X37,alive)
& host(X37) = index(ldr,host(X37))
& norm = index(status,host(X37)) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f32]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(ennf_transformation,[],[f33]) ).
fof(f85,plain,
? [X0,X1,X2] :
( ? [X37] :
( ? [X38,X39] :
( setIn(X37,alive)
& host(X37) = index(ldr,host(X37))
& norm = index(status,host(X37))
& setIn(X39,alive)
& leq(nbr_proc,index(pendack,host(X39)))
& elem(m_Ack(X39,X38),snoc(queue(host(X39)),m_Ack(X2,X1)))
& elec_2 = index(status,host(X39))
& index(pendack,host(X39)) = host(X38)
& host(X1) != host(X39)
& host(X2) = host(X39) )
& host(X1) != host(X37) )
& setIn(X1,alive)
& ! [X3,X4] :
( setIn(X4,pids)
| ~ elem(m_Ack(X4,X3),queue(host(X4))) )
& ! [X5,X6] :
( ~ setIn(X6,alive)
| ~ elem(m_Down(X6),queue(host(X5))) )
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Ldr(X8),queue(host(X7))) )
& ! [X9,X10,X11] :
( ~ leq(host(X9),host(X11))
| ~ elem(m_Ack(X11,X9),queue(host(X10))) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| setIn(X12,alive)
| ~ leq(X13,X12)
| host(X13) != host(X12) )
& ! [X14,X15] :
( ~ setIn(X14,alive)
| ~ setIn(X15,alive)
| X14 = X15
| host(X15) != host(X14) )
& ! [X16,X17] :
( leq(host(X16),index(pendack,host(X17)))
| ~ setIn(X17,alive)
| ~ elem(m_Ack(X17,X16),queue(host(X17))) )
& ! [X18,X19] :
( ~ elem(m_Ack(X18,X19),queue(host(X18)))
| ~ setIn(X19,alive)
| elec_1 != index(status,host(X19)) )
& ! [X20,X21] :
( ~ elem(m_Ack(X21,X20),queue(host(X21)))
| ~ setIn(X21,alive)
| elec_1 != index(status,host(X21)) )
& ! [X22] :
( index(elid,host(X22)) = X22
| ( elec_1 != index(status,host(X22))
& elec_2 != index(status,host(X22)) )
| ~ setIn(X22,alive) )
& ! [X23,X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X23),queue(host(X24)))
| ~ elem(m_Ack(X25,X24),queue(host(X25)))
| host(X25) != host(X23) )
& ! [X26,X27,X28] :
( ~ setIn(host(X28),index(down,host(X27)))
| ~ setIn(X27,alive)
| ~ setIn(X28,alive)
| ~ elem(m_Ack(X28,X26),queue(host(X28)))
| host(X27) != host(X26) )
& ! [X29,X30] :
( ~ leq(index(pendack,host(X29)),index(pendack,host(X30)))
| leq(host(X29),host(X30))
| ~ setIn(X29,alive)
| ~ setIn(X30,alive)
| elec_2 != index(status,host(X29))
| elec_2 != index(status,host(X30)) )
& ! [X31,X32,X33] :
( ~ setIn(X31,alive)
| host(X31) != index(ldr,host(X31))
| norm != index(status,host(X31))
| leq(index(pendack,host(X33)),host(X31))
| ~ setIn(X33,alive)
| ~ elem(m_Halt(X33),queue(host(X32)))
| elec_2 != index(status,host(X33)) )
& ! [X34,X35,X36] :
( ~ setIn(X34,alive)
| host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| ~ setIn(X36,alive)
| ~ elem(m_Ack(X36,X35),queue(host(X36)))
| ~ leq(nbr_proc,index(pendack,host(X36)))
| elec_2 != index(status,host(X36))
| index(pendack,host(X36)) != host(X35) )
& queue(host(X1)) = cons(m_Halt(X2),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X1,X2] :
( ? [X37] :
( ? [X38,X39] :
( setIn(X37,alive)
& host(X37) = index(ldr,host(X37))
& norm = index(status,host(X37))
& setIn(X39,alive)
& leq(nbr_proc,index(pendack,host(X39)))
& elem(m_Ack(X39,X38),snoc(queue(host(X39)),m_Ack(X2,X1)))
& elec_2 = index(status,host(X39))
& index(pendack,host(X39)) = host(X38)
& host(X1) != host(X39)
& host(X2) = host(X39) )
& host(X1) != host(X37) )
& setIn(X1,alive)
& ! [X3,X4] :
( setIn(X4,pids)
| ~ elem(m_Ack(X4,X3),queue(host(X4))) )
& ! [X5,X6] :
( ~ setIn(X6,alive)
| ~ elem(m_Down(X6),queue(host(X5))) )
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Ldr(X8),queue(host(X7))) )
& ! [X9,X10,X11] :
( ~ leq(host(X9),host(X11))
| ~ elem(m_Ack(X11,X9),queue(host(X10))) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| setIn(X12,alive)
| ~ leq(X13,X12)
| host(X13) != host(X12) )
& ! [X14,X15] :
( ~ setIn(X14,alive)
| ~ setIn(X15,alive)
| X14 = X15
| host(X15) != host(X14) )
& ! [X16,X17] :
( leq(host(X16),index(pendack,host(X17)))
| ~ setIn(X17,alive)
| ~ elem(m_Ack(X17,X16),queue(host(X17))) )
& ! [X18,X19] :
( ~ elem(m_Ack(X18,X19),queue(host(X18)))
| ~ setIn(X19,alive)
| elec_1 != index(status,host(X19)) )
& ! [X20,X21] :
( ~ elem(m_Ack(X21,X20),queue(host(X21)))
| ~ setIn(X21,alive)
| elec_1 != index(status,host(X21)) )
& ! [X22] :
( index(elid,host(X22)) = X22
| ( elec_1 != index(status,host(X22))
& elec_2 != index(status,host(X22)) )
| ~ setIn(X22,alive) )
& ! [X23,X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X23),queue(host(X24)))
| ~ elem(m_Ack(X25,X24),queue(host(X25)))
| host(X25) != host(X23) )
& ! [X26,X27,X28] :
( ~ setIn(host(X28),index(down,host(X27)))
| ~ setIn(X27,alive)
| ~ setIn(X28,alive)
| ~ elem(m_Ack(X28,X26),queue(host(X28)))
| host(X27) != host(X26) )
& ! [X29,X30] :
( ~ leq(index(pendack,host(X29)),index(pendack,host(X30)))
| leq(host(X29),host(X30))
| ~ setIn(X29,alive)
| ~ setIn(X30,alive)
| elec_2 != index(status,host(X29))
| elec_2 != index(status,host(X30)) )
& ! [X31,X32,X33] :
( ~ setIn(X31,alive)
| host(X31) != index(ldr,host(X31))
| norm != index(status,host(X31))
| leq(index(pendack,host(X33)),host(X31))
| ~ setIn(X33,alive)
| ~ elem(m_Halt(X33),queue(host(X32)))
| elec_2 != index(status,host(X33)) )
& ! [X34,X35,X36] :
( ~ setIn(X34,alive)
| host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| ~ setIn(X36,alive)
| ~ elem(m_Ack(X36,X35),queue(host(X36)))
| ~ leq(nbr_proc,index(pendack,host(X36)))
| elec_2 != index(status,host(X36))
| index(pendack,host(X36)) != host(X35) )
& queue(host(X1)) = cons(m_Halt(X2),X0) ),
inference(flattening,[],[f85]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f94]) ).
fof(f107,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f108,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f107]) ).
fof(f112,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5] :
( setIn(X3,alive)
& host(X3) = index(ldr,host(X3))
& norm = index(status,host(X3))
& setIn(X5,alive)
& leq(nbr_proc,index(pendack,host(X5)))
& elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(X2,X1)))
& elec_2 = index(status,host(X5))
& host(X4) = index(pendack,host(X5))
& host(X1) != host(X5)
& host(X2) = host(X5) )
& host(X1) != host(X3) )
& setIn(X1,alive)
& ! [X6,X7] :
( setIn(X7,pids)
| ~ elem(m_Ack(X7,X6),queue(host(X7))) )
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ elem(m_Down(X9),queue(host(X8))) )
& ! [X10,X11] :
( ~ leq(host(X10),host(X11))
| ~ elem(m_Ldr(X11),queue(host(X10))) )
& ! [X12,X13,X14] :
( ~ leq(host(X12),host(X14))
| ~ elem(m_Ack(X14,X12),queue(host(X13))) )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| setIn(X15,alive)
| ~ leq(X16,X15)
| host(X15) != host(X16) )
& ! [X17,X18] :
( ~ setIn(X17,alive)
| ~ setIn(X18,alive)
| X17 = X18
| host(X17) != host(X18) )
& ! [X19,X20] :
( leq(host(X19),index(pendack,host(X20)))
| ~ setIn(X20,alive)
| ~ elem(m_Ack(X20,X19),queue(host(X20))) )
& ! [X21,X22] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| ~ setIn(X22,alive)
| elec_1 != index(status,host(X22)) )
& ! [X23,X24] :
( ~ elem(m_Ack(X24,X23),queue(host(X24)))
| ~ setIn(X24,alive)
| elec_1 != index(status,host(X24)) )
& ! [X25] :
( index(elid,host(X25)) = X25
| ( elec_1 != index(status,host(X25))
& elec_2 != index(status,host(X25)) )
| ~ setIn(X25,alive) )
& ! [X26,X27,X28] :
( ~ setIn(X28,alive)
| ~ elem(m_Down(X26),queue(host(X27)))
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| host(X28) != host(X26) )
& ! [X29,X30,X31] :
( ~ setIn(host(X31),index(down,host(X30)))
| ~ setIn(X30,alive)
| ~ setIn(X31,alive)
| ~ elem(m_Ack(X31,X29),queue(host(X31)))
| host(X29) != host(X30) )
& ! [X32,X33] :
( ~ leq(index(pendack,host(X32)),index(pendack,host(X33)))
| leq(host(X32),host(X33))
| ~ setIn(X32,alive)
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X32))
| elec_2 != index(status,host(X33)) )
& ! [X34,X35,X36] :
( ~ setIn(X34,alive)
| host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| leq(index(pendack,host(X36)),host(X34))
| ~ setIn(X36,alive)
| ~ elem(m_Halt(X36),queue(host(X35)))
| elec_2 != index(status,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X37,alive)
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| ~ setIn(X39,alive)
| ~ elem(m_Ack(X39,X38),queue(host(X39)))
| ~ leq(nbr_proc,index(pendack,host(X39)))
| elec_2 != index(status,host(X39))
| index(pendack,host(X39)) != host(X38) )
& queue(host(X1)) = cons(m_Halt(X2),X0) ),
inference(rectify,[],[f86]) ).
fof(f113,plain,
( setIn(sK6,alive)
& host(sK6) = index(ldr,host(sK6))
& norm = index(status,host(sK6))
& setIn(sK8,alive)
& leq(nbr_proc,index(pendack,host(sK8)))
& elem(m_Ack(sK8,sK7),snoc(queue(host(sK8)),m_Ack(sK5,sK4)))
& elec_2 = index(status,host(sK8))
& index(pendack,host(sK8)) = host(sK7)
& host(sK8) != host(sK4)
& host(sK8) = host(sK5)
& host(sK6) != host(sK4)
& setIn(sK4,alive)
& ! [X6,X7] :
( setIn(X7,pids)
| ~ elem(m_Ack(X7,X6),queue(host(X7))) )
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ elem(m_Down(X9),queue(host(X8))) )
& ! [X10,X11] :
( ~ leq(host(X10),host(X11))
| ~ elem(m_Ldr(X11),queue(host(X10))) )
& ! [X12,X13,X14] :
( ~ leq(host(X12),host(X14))
| ~ elem(m_Ack(X14,X12),queue(host(X13))) )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| setIn(X15,alive)
| ~ leq(X16,X15)
| host(X15) != host(X16) )
& ! [X17,X18] :
( ~ setIn(X17,alive)
| ~ setIn(X18,alive)
| X17 = X18
| host(X17) != host(X18) )
& ! [X19,X20] :
( leq(host(X19),index(pendack,host(X20)))
| ~ setIn(X20,alive)
| ~ elem(m_Ack(X20,X19),queue(host(X20))) )
& ! [X21,X22] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| ~ setIn(X22,alive)
| elec_1 != index(status,host(X22)) )
& ! [X23,X24] :
( ~ elem(m_Ack(X24,X23),queue(host(X24)))
| ~ setIn(X24,alive)
| elec_1 != index(status,host(X24)) )
& ! [X25] :
( index(elid,host(X25)) = X25
| ( elec_1 != index(status,host(X25))
& elec_2 != index(status,host(X25)) )
| ~ setIn(X25,alive) )
& ! [X26,X27,X28] :
( ~ setIn(X28,alive)
| ~ elem(m_Down(X26),queue(host(X27)))
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| host(X28) != host(X26) )
& ! [X29,X30,X31] :
( ~ setIn(host(X31),index(down,host(X30)))
| ~ setIn(X30,alive)
| ~ setIn(X31,alive)
| ~ elem(m_Ack(X31,X29),queue(host(X31)))
| host(X29) != host(X30) )
& ! [X32,X33] :
( ~ leq(index(pendack,host(X32)),index(pendack,host(X33)))
| leq(host(X32),host(X33))
| ~ setIn(X32,alive)
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X32))
| elec_2 != index(status,host(X33)) )
& ! [X34,X35,X36] :
( ~ setIn(X34,alive)
| host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| leq(index(pendack,host(X36)),host(X34))
| ~ setIn(X36,alive)
| ~ elem(m_Halt(X36),queue(host(X35)))
| elec_2 != index(status,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X37,alive)
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| ~ setIn(X39,alive)
| ~ elem(m_Ack(X39,X38),queue(host(X39)))
| ~ leq(nbr_proc,index(pendack,host(X39)))
| elec_2 != index(status,host(X39))
| index(pendack,host(X39)) != host(X38) )
& queue(host(sK4)) = cons(m_Halt(sK5),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8)],[f112]) ).
fof(f119,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f73]) ).
fof(f168,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f95]) ).
fof(f200,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f108]) ).
fof(f210,plain,
queue(host(sK4)) = cons(m_Halt(sK5),sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f211,plain,
! [X38,X39,X37] :
( ~ setIn(X37,alive)
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| ~ setIn(X39,alive)
| ~ elem(m_Ack(X39,X38),queue(host(X39)))
| ~ leq(nbr_proc,index(pendack,host(X39)))
| elec_2 != index(status,host(X39))
| index(pendack,host(X39)) != host(X38) ),
inference(cnf_transformation,[],[f113]) ).
fof(f212,plain,
! [X36,X34,X35] :
( host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive)
| norm != index(status,host(X34))
| leq(index(pendack,host(X36)),host(X34))
| ~ setIn(X36,alive)
| ~ elem(m_Halt(X36),queue(host(X35)))
| elec_2 != index(status,host(X36)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f228,plain,
host(sK6) != host(sK4),
inference(cnf_transformation,[],[f113]) ).
fof(f229,plain,
host(sK8) = host(sK5),
inference(cnf_transformation,[],[f113]) ).
fof(f231,plain,
index(pendack,host(sK8)) = host(sK7),
inference(cnf_transformation,[],[f113]) ).
fof(f232,plain,
elec_2 = index(status,host(sK8)),
inference(cnf_transformation,[],[f113]) ).
fof(f233,plain,
elem(m_Ack(sK8,sK7),snoc(queue(host(sK8)),m_Ack(sK5,sK4))),
inference(cnf_transformation,[],[f113]) ).
fof(f234,plain,
leq(nbr_proc,index(pendack,host(sK8))),
inference(cnf_transformation,[],[f113]) ).
fof(f235,plain,
setIn(sK8,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
norm = index(status,host(sK6)),
inference(cnf_transformation,[],[f113]) ).
fof(f237,plain,
host(sK6) = index(ldr,host(sK6)),
inference(cnf_transformation,[],[f113]) ).
fof(f238,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f245,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f168]) ).
fof(f253,definition,
( spl9_1
<=> ! [X38,X39] :
( ~ setIn(X39,alive)
| index(pendack,host(X39)) != host(X38)
| elec_2 != index(status,host(X39))
| ~ leq(nbr_proc,index(pendack,host(X39)))
| ~ elem(m_Ack(X39,X38),queue(host(X39))) ) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f254,plain,
( ! [X38,X39] :
( index(pendack,host(X39)) != host(X38)
| ~ setIn(X39,alive)
| elec_2 != index(status,host(X39))
| ~ leq(nbr_proc,index(pendack,host(X39)))
| ~ elem(m_Ack(X39,X38),queue(host(X39))) )
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,definition,
( spl9_2
<=> ! [X37] :
( ~ setIn(X37,alive)
| norm != index(status,host(X37))
| host(X37) != index(ldr,host(X37)) ) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f257,plain,
( ! [X37] :
( host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| ~ setIn(X37,alive) )
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f258,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f211,f256,f253]) ).
fof(f260,plain,
elec_2 = index(status,host(sK5)),
inference(forward_demodulation,[],[f232,f229]) ).
fof(f261,plain,
leq(nbr_proc,index(pendack,host(sK5))),
inference(forward_demodulation,[],[f234,f229]) ).
fof(f262,plain,
host(sK7) = index(pendack,host(sK5)),
inference(forward_demodulation,[],[f231,f229]) ).
fof(f263,plain,
leq(nbr_proc,host(sK7)),
inference(superposition,[],[f261,f262]) ).
fof(f275,plain,
elem(m_Ack(sK8,sK7),snoc(queue(host(sK5)),m_Ack(sK5,sK4))),
inference(forward_demodulation,[],[f233,f229]) ).
fof(f289,definition,
( spl9_5
<=> setIn(sK5,alive) ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
fof(f293,definition,
( spl9_6
<=> sK5 = sK8 ),
introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).
fof(f295,plain,
( sK5 = sK8
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f355,plain,
( host(sK6) != host(sK6)
| norm != index(status,host(sK6))
| ~ setIn(sK6,alive)
| ~ spl9_2 ),
inference(superposition,[],[f257,f237]) ).
fof(f356,plain,
( norm != index(status,host(sK6))
| ~ setIn(sK6,alive)
| ~ spl9_2 ),
inference(trivial_inequality_removal,[],[f355]) ).
fof(f357,plain,
( ~ setIn(sK6,alive)
| ~ spl9_2 ),
inference(forward_subsumption_resolution,[],[f356,f236]) ).
fof(f359,plain,
( $false
| ~ spl9_2 ),
inference(forward_subsumption_resolution,[],[f357,f238]) ).
fof(f360,plain,
~ spl9_2,
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f378,plain,
( ! [X0] :
( host(X0) != index(pendack,host(sK5))
| ~ setIn(sK8,alive)
| elec_2 != index(status,host(sK5))
| ~ leq(nbr_proc,index(pendack,host(sK5)))
| ~ elem(m_Ack(sK8,X0),queue(host(sK5))) )
| ~ spl9_1 ),
inference(superposition,[],[f254,f229]) ).
fof(f380,plain,
( ! [X0] :
( host(X0) != index(pendack,host(sK5))
| elec_2 != index(status,host(sK5))
| ~ leq(nbr_proc,index(pendack,host(sK5)))
| ~ elem(m_Ack(sK8,X0),queue(host(sK5))) )
| ~ spl9_1 ),
inference(forward_subsumption_resolution,[],[f378,f235]) ).
fof(f381,plain,
( ! [X0] :
( host(X0) != index(pendack,host(sK5))
| ~ leq(nbr_proc,index(pendack,host(sK5)))
| ~ elem(m_Ack(sK8,X0),queue(host(sK5))) )
| ~ spl9_1 ),
inference(forward_subsumption_resolution,[],[f380,f260]) ).
fof(f382,plain,
( ! [X0] :
( host(X0) != index(pendack,host(sK5))
| ~ elem(m_Ack(sK8,X0),queue(host(sK5))) )
| ~ spl9_1 ),
inference(forward_subsumption_resolution,[],[f381,f261]) ).
fof(f383,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ elem(m_Ack(sK8,X0),queue(host(sK5))) )
| ~ spl9_1 ),
inference(forward_demodulation,[],[f382,f262]) ).
fof(f385,plain,
( ~ elem(m_Ack(sK8,sK7),queue(host(sK5)))
| ~ spl9_1 ),
inference(equality_resolution,[],[f383]) ).
fof(f436,plain,
! [X0,X1] :
( host(sK6) != host(sK6)
| ~ setIn(sK6,alive)
| norm != index(status,host(sK6))
| leq(index(pendack,host(X0)),host(sK6))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1)))
| elec_2 != index(status,host(X0)) ),
inference(superposition,[],[f212,f237]) ).
fof(f437,plain,
! [X0,X1] :
( ~ setIn(sK6,alive)
| norm != index(status,host(sK6))
| leq(index(pendack,host(X0)),host(sK6))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1)))
| elec_2 != index(status,host(X0)) ),
inference(trivial_inequality_removal,[],[f436]) ).
fof(f438,plain,
! [X0,X1] :
( norm != index(status,host(sK6))
| leq(index(pendack,host(X0)),host(sK6))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1)))
| elec_2 != index(status,host(X0)) ),
inference(forward_subsumption_resolution,[],[f437,f238]) ).
fof(f440,plain,
! [X0,X1] :
( elec_2 != index(status,host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1)))
| leq(index(pendack,host(X0)),host(sK6)) ),
inference(forward_subsumption_resolution,[],[f438,f236]) ).
fof(f444,plain,
! [X0] :
( elec_2 != elec_2
| ~ setIn(sK5,alive)
| ~ elem(m_Halt(sK5),queue(host(X0)))
| leq(index(pendack,host(sK5)),host(sK6)) ),
inference(superposition,[],[f440,f260]) ).
fof(f445,plain,
! [X0] :
( ~ setIn(sK5,alive)
| ~ elem(m_Halt(sK5),queue(host(X0)))
| leq(index(pendack,host(sK5)),host(sK6)) ),
inference(trivial_inequality_removal,[],[f444]) ).
fof(f461,plain,
elem(m_Halt(sK5),queue(host(sK4))),
inference(superposition,[],[f245,f210]) ).
fof(f549,plain,
! [X0] :
( ~ leq(nbr_proc,host(X0))
| host(X0) = nbr_proc ),
inference(resolution,[],[f200,f119]) ).
fof(f554,plain,
( ~ leq(host(sK7),nbr_proc)
| nbr_proc = host(sK7) ),
inference(resolution,[],[f200,f263]) ).
fof(f556,plain,
nbr_proc = host(sK7),
inference(forward_subsumption_resolution,[],[f554,f119]) ).
fof(f869,plain,
( elem(m_Ack(sK8,sK7),queue(host(sK5)))
| m_Ack(sK8,sK7) = m_Ack(sK5,sK4) ),
inference(resolution,[],[f169,f275]) ).
fof(f875,plain,
( m_Ack(sK8,sK7) = m_Ack(sK5,sK4)
| ~ spl9_1 ),
inference(forward_subsumption_resolution,[],[f869,f385]) ).
fof(f896,plain,
( ! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK5,sK4)
| sK8 = X0 )
| ~ spl9_1 ),
inference(superposition,[],[f151,f875]) ).
fof(f898,plain,
( ! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK5,sK4)
| sK7 = X1 )
| ~ spl9_1 ),
inference(superposition,[],[f152,f875]) ).
fof(f1083,plain,
! [X0] :
( leq(host(sK7),host(sK6))
| ~ setIn(sK5,alive)
| ~ elem(m_Halt(sK5),queue(host(X0))) ),
inference(forward_demodulation,[],[f445,f262]) ).
fof(f1097,plain,
! [X0] :
( leq(nbr_proc,host(sK6))
| ~ setIn(sK5,alive)
| ~ elem(m_Halt(sK5),queue(host(X0))) ),
inference(forward_demodulation,[],[f1083,f556]) ).
fof(f1100,definition,
( spl9_78
<=> ! [X0] : ~ elem(m_Halt(sK5),queue(host(X0))) ),
introduced(definition,[new_symbols(definition,[spl9_78])],[avatar_definition]) ).
fof(f1101,plain,
( ! [X0] : ~ elem(m_Halt(sK5),queue(host(X0)))
| ~ spl9_78 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1103,definition,
( spl9_79
<=> leq(nbr_proc,host(sK6)) ),
introduced(definition,[new_symbols(definition,[spl9_79])],[avatar_definition]) ).
fof(f1105,plain,
( leq(nbr_proc,host(sK6))
| ~ spl9_79 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f1106,plain,
( spl9_78
| ~ spl9_5
| spl9_79 ),
inference(avatar_split_clause,[],[f1097,f1103,f289,f1100]) ).
fof(f1116,plain,
( setIn(sK5,alive)
| ~ spl9_6 ),
inference(superposition,[],[f235,f295]) ).
fof(f2119,plain,
( sK5 = sK8
| ~ spl9_1 ),
inference(equality_resolution,[],[f896]) ).
fof(f2122,plain,
( spl9_5
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f1116,f293,f289]) ).
fof(f2123,plain,
( spl9_6
| ~ spl9_1 ),
inference(avatar_split_clause,[],[f2119,f253,f293]) ).
fof(f2182,plain,
( $false
| ~ spl9_78 ),
inference(resolution,[],[f1101,f461]) ).
fof(f2186,plain,
~ spl9_78,
inference(avatar_contradiction_clause,[],[f2182]) ).
fof(f2189,plain,
( nbr_proc = host(sK6)
| ~ spl9_79 ),
inference(resolution,[],[f1105,f549]) ).
fof(f2211,plain,
( sK4 = sK7
| ~ spl9_1 ),
inference(equality_resolution,[],[f898]) ).
fof(f2216,plain,
( nbr_proc = host(sK4)
| ~ spl9_1 ),
inference(superposition,[],[f556,f2211]) ).
fof(f2262,plain,
( nbr_proc != host(sK4)
| ~ spl9_79 ),
inference(superposition,[],[f228,f2189]) ).
fof(f2537,plain,
( $false
| ~ spl9_1
| ~ spl9_79 ),
inference(forward_subsumption_resolution,[],[f2262,f2216]) ).
fof(f2538,plain,
( ~ spl9_1
| ~ spl9_79 ),
inference(avatar_contradiction_clause,[],[f2537]) ).
cnf(s1,plain,
( spl9_1
| spl9_2 ),
inference(sat_conversion,[],[f258]) ).
cnf(s10,plain,
~ spl9_2,
inference(sat_conversion,[],[f360]) ).
cnf(s57,plain,
( ~ spl9_5
| spl9_78
| spl9_79 ),
inference(sat_conversion,[],[f1106]) ).
cnf(s76,plain,
( spl9_5
| ~ spl9_6 ),
inference(sat_conversion,[],[f2122]) ).
cnf(s80,plain,
( ~ spl9_1
| spl9_6 ),
inference(sat_conversion,[],[f2123]) ).
cnf(s85,plain,
~ spl9_78,
inference(sat_conversion,[],[f2186]) ).
cnf(s118,plain,
( ~ spl9_1
| ~ spl9_79 ),
inference(sat_conversion,[],[f2538]) ).
cnf(s120,plain,
( ~ spl9_5
| spl9_79 ),
inference(rat,[],[s57,s85]) ).
cnf(s121,plain,
spl9_1,
inference(rat,[],[s1,s10]) ).
cnf(s122,plain,
~ spl9_79,
inference(rat,[],[s118,s121]) ).
cnf(s126,plain,
spl9_6,
inference(rat,[],[s80,s121]) ).
cnf(s129,plain,
~ spl9_5,
inference(rat,[],[s120,s122]) ).
cnf(s137,plain,
$false,
inference(rat,[],[s76,s126,s129]) ).
fof(f2539,plain,
$false,
inference(avatar_sat_refutation,[],[s137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV457+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n017.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 11:04:21 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.26 Running first-order model finding
% 0.08/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.34 % (3478935)Will run a generic schedule for satisfiability detection.
% 0.23/0.34 % (3478943)dis+10_1_sil=32000:sp=arity:random_seed=2777043581:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.34 % (3478940)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3181651689_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.34 % (3478941)% WARNING: option uhcvi not known.
% 0.23/0.34 % (3478944)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=563268697:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.34 % (3478946)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=522674585:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.34 % (3478941)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4193526937:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.34 % (3478945)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2208008969:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.34 % (3478942)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=977326542:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.34 % Detected minimum model sizes of [4]
% 0.23/0.34 % Detected maximum model sizes of [max]
% 0.23/0.34 % TRYING [4]
% 0.23/0.34 % (3478943) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3478935-3478943"...
% 0.23/0.34 % (3478943)...printing done.
% 0.23/0.34 % (3478943)Refutation found. Thanks to Tanya!
% 0.23/0.34 % SZS status Theorem for theBenchmark
% 0.23/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.34 % (3478943)------------------------------
% 0.23/0.34 % (3478943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.34 % (3478943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.34 % (3478943)CaDiCaL version: 2.1.3
% 0.23/0.34 % (3478943)Termination reason: Refutation
% 0.23/0.34 % (3478943)Time elapsed: 0.034 s
% 0.23/0.34 % (3478943)Peak memory usage: 13 MB
% 0.23/0.34 % (3478943)Instructions burned: 92 (million)
% 0.23/0.34 % (3478935)Success in time 0.061 s
% 0.23/0.34 % Vampire exiting
%------------------------------------------------------------------------------