%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV458+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 : n003.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 01:24:20 PM UTC 2026
% Result : Theorem 0.86s 0.40s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 120 ( 22 unt; 9 def)
% Number of atoms : 827 ( 310 equ)
% Maximal formula atoms : 98 ( 6 avg)
% Number of connectives : 1140 ( 433 ~; 341 |; 268 &)
% ( 13 <=>; 85 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 17 con; 0-2 aty)
% Number of variables : 312 ( 2 sgn 298 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
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(f63,axiom,
! [X0,X1,X2] :
( ( leq(X0,X1)
& leq(X1,X2) )
=> 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))
<=> ( 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] : leq(index(pendack,host(X4)),nbr_proc)
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> ~ setIn(X5,alive) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( ~ setIn(X4,alive)
& leq(X5,X4)
& host(X5) = host(X4) )
=> ~ setIn(X5,alive) )
& ! [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,X6,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,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [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,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X6)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X6,X5] :
( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& ~ leq(host(X5),host(X4))
& elem(m_Down(X6),queue(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_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( index(ldr,host(X2)) = host(X3)
& index(status,host(X2)) = norm )
| ( index(status,host(X2)) = wait
& host(X3) = host(index(elid,host(X2))) ) )
=> ( ( ! [X4] :
( ( ~ leq(host(X2),X4)
& leq(s(zero),X4) )
=> ( setIn(X4,index(down,host(X2)))
| X4 = host(X3) ) )
& index(status,host(X2)) = elec_1 )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X4] :
( host(X2) != host(X4)
=> ! [X8] :
( s(host(X2)) = host(X8)
=> ( host(X2) != host(X8)
=> ! [X9] :
( host(X2) = host(X9)
=> ( ( ~ leq(s(host(X2)),host(X4))
& setIn(X9,alive)
& elem(m_Halt(X9),snoc(queue(host(X8)),m_Halt(X2))) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4] : leq(index(pendack,host(X4)),nbr_proc)
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> ~ setIn(X5,alive) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( ~ setIn(X4,alive)
& leq(X5,X4)
& host(X5) = host(X4) )
=> ~ setIn(X5,alive) )
& ! [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,X6,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,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [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,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X6)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X6,X5] :
( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& ~ leq(host(X5),host(X4))
& elem(m_Down(X6),queue(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_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( index(ldr,host(X2)) = host(X3)
& index(status,host(X2)) = norm )
| ( index(status,host(X2)) = wait
& host(X3) = host(index(elid,host(X2))) ) )
=> ( ( ! [X4] :
( ( ~ leq(host(X2),X4)
& leq(s(zero),X4) )
=> ( setIn(X4,index(down,host(X2)))
| X4 = host(X3) ) )
& index(status,host(X2)) = elec_1 )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X4] :
( host(X2) != host(X4)
=> ! [X8] :
( s(host(X2)) = host(X8)
=> ( host(X2) != host(X8)
=> ! [X9] :
( host(X2) = host(X9)
=> ( ( ~ leq(s(host(X2)),host(X4))
& setIn(X9,alive)
& elem(m_Halt(X9),snoc(queue(host(X8)),m_Halt(X2))) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( ! [X4] : leq(index(pendack,host(X4)),nbr_proc)
& ! [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] :
( elem(m_Halt(X10),queue(host(X9)))
=> ~ leq(host(X9),host(X10)) )
& ! [X11,X12,X13] :
( elem(m_Ack(X13,X11),queue(host(X12)))
=> ~ leq(host(X11),host(X13)) )
& ! [X14,X15] :
( ( ~ setIn(X14,alive)
& leq(X15,X14)
& host(X14) = host(X15) )
=> ~ setIn(X15,alive) )
& ! [X16,X17] :
( ( X16 != X17
& host(X16) = host(X17) )
=> ( ~ setIn(X16,alive)
| ~ setIn(X17,alive) ) )
& ! [X18] :
( ( ( elec_1 = index(status,host(X18))
| elec_2 = index(status,host(X18)) )
& setIn(X18,alive) )
=> index(elid,host(X18)) = X18 )
& ! [X19,X20,X21] :
( ( setIn(X21,alive)
& elem(m_Down(X20),queue(host(X21)))
& host(X19) = host(X20) )
=> ~ ( setIn(X19,alive)
& host(X19) = index(ldr,host(X19))
& norm = index(status,host(X19)) ) )
& ! [X22,X23] :
( ( ~ leq(host(X22),host(X23))
& setIn(X22,alive)
& setIn(X23,alive)
& elec_2 = index(status,host(X22))
& elec_2 = index(status,host(X23)) )
=> leq(index(pendack,host(X23)),host(X22)) )
& ! [X24,X25,X26] :
( ( setIn(X26,alive)
& elem(m_Ack(X26,X25),queue(host(X26)))
& host(X24) = host(X25) )
=> ~ ( setIn(X24,alive)
& host(X24) = index(ldr,host(X24))
& norm = index(status,host(X24)) ) )
& ! [X27,X28] :
( ( ~ leq(index(pendack,host(X28)),host(X27))
& setIn(X28,alive)
& elec_2 = index(status,host(X28)) )
=> ~ ( setIn(X27,alive)
& host(X27) = index(ldr,host(X27))
& norm = index(status,host(X27)) ) )
& ! [X29,X30] :
( ( setIn(X29,alive)
& setIn(X30,alive)
& host(X29) = index(ldr,host(X29))
& norm = index(status,host(X29))
& norm = index(status,host(X30))
& host(X30) = index(ldr,host(X30)) )
=> X29 = X30 )
& ! [X31,X32] :
( ( ~ leq(host(X31),host(X32))
& setIn(X31,alive)
& setIn(X32,alive)
& elec_2 = index(status,host(X31))
& elec_2 = index(status,host(X32)) )
=> ~ leq(index(pendack,host(X31)),index(pendack,host(X32))) )
& ! [X33,X34,X35] :
( ( ~ leq(index(pendack,host(X35)),host(X33))
& setIn(X35,alive)
& elem(m_Halt(X35),queue(host(X34)))
& elec_2 = index(status,host(X35)) )
=> ~ ( setIn(X33,alive)
& host(X33) = index(ldr,host(X33))
& norm = index(status,host(X33)) ) )
& ! [X36,X37,X38] :
( ( ! [X39] :
( ( ~ leq(host(X38),X39)
& leq(s(zero),X39) )
=> ( setIn(X39,index(down,host(X38)))
| host(X37) = X39 ) )
& ~ leq(host(X38),host(X36))
& elem(m_Down(X37),queue(host(X38)))
& elec_1 = index(status,host(X38)) )
=> ~ ( setIn(X36,alive)
& host(X36) = index(ldr,host(X36))
& norm = index(status,host(X36)) ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( index(ldr,host(X2)) = host(X3)
& index(status,host(X2)) = norm )
| ( index(status,host(X2)) = wait
& host(X3) = host(index(elid,host(X2))) ) )
=> ( ( ! [X40] :
( ( ~ leq(host(X2),X40)
& leq(s(zero),X40) )
=> ( setIn(X40,index(down,host(X2)))
| host(X3) = X40 ) )
& index(status,host(X2)) = elec_1 )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X41] :
( host(X2) != host(X41)
=> ! [X42] :
( s(host(X2)) = host(X42)
=> ( host(X2) != host(X42)
=> ! [X43] :
( host(X2) = host(X43)
=> ( ( ~ leq(s(host(X2)),host(X41))
& setIn(X43,alive)
& elem(m_Halt(X43),snoc(queue(host(X42)),m_Halt(X2))) )
=> ~ ( setIn(X41,alive)
& host(X41) = index(ldr,host(X41))
& norm = index(status,host(X41)) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f83,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(ennf_transformation,[],[f63]) ).
fof(f84,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
? [X0,X2,X3] :
( ? [X41] :
( ? [X42] :
( ? [X43] :
( setIn(X41,alive)
& host(X41) = index(ldr,host(X41))
& norm = index(status,host(X41))
& ~ leq(s(host(X2)),host(X41))
& setIn(X43,alive)
& elem(m_Halt(X43),snoc(queue(host(X42)),m_Halt(X2)))
& host(X2) = host(X43) )
& host(X2) != host(X42)
& s(host(X2)) = host(X42) )
& host(X2) != host(X41) )
& ~ leq(nbr_proc,host(X2))
& ! [X40] :
( setIn(X40,index(down,host(X2)))
| host(X3) = X40
| leq(host(X2),X40)
| ~ leq(s(zero),X40) )
& index(status,host(X2)) = elec_1
& ( host(X3) != index(ldr,host(X2))
| norm != index(status,host(X2)) )
& ( wait != index(status,host(X2))
| host(X3) != host(index(elid,host(X2))) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X4] : leq(index(pendack,host(X4)),nbr_proc)
& ! [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] :
( ~ leq(host(X9),host(X10))
| ~ elem(m_Halt(X10),queue(host(X9))) )
& ! [X11,X12,X13] :
( ~ leq(host(X11),host(X13))
| ~ elem(m_Ack(X13,X11),queue(host(X12))) )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| setIn(X14,alive)
| ~ leq(X15,X14)
| host(X14) != host(X15) )
& ! [X16,X17] :
( ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| X16 = X17
| host(X16) != host(X17) )
& ! [X18] :
( index(elid,host(X18)) = X18
| ( elec_1 != index(status,host(X18))
& elec_2 != index(status,host(X18)) )
| ~ setIn(X18,alive) )
& ! [X19,X20,X21] :
( ~ setIn(X19,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| ~ setIn(X21,alive)
| ~ elem(m_Down(X20),queue(host(X21)))
| host(X19) != host(X20) )
& ! [X22,X23] :
( leq(index(pendack,host(X23)),host(X22))
| leq(host(X22),host(X23))
| ~ setIn(X22,alive)
| ~ setIn(X23,alive)
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X23)) )
& ! [X24,X25,X26] :
( ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X26,alive)
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| host(X24) != host(X25) )
& ! [X27,X28] :
( ~ setIn(X27,alive)
| host(X27) != index(ldr,host(X27))
| norm != index(status,host(X27))
| leq(index(pendack,host(X28)),host(X27))
| ~ setIn(X28,alive)
| elec_2 != index(status,host(X28)) )
& ! [X29,X30] :
( X29 = X30
| ~ setIn(X29,alive)
| ~ setIn(X30,alive)
| host(X29) != index(ldr,host(X29))
| norm != index(status,host(X29))
| norm != index(status,host(X30))
| host(X30) != index(ldr,host(X30)) )
& ! [X31,X32] :
( ~ leq(index(pendack,host(X31)),index(pendack,host(X32)))
| leq(host(X31),host(X32))
| ~ setIn(X31,alive)
| ~ setIn(X32,alive)
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34,X35] :
( ~ setIn(X33,alive)
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| leq(index(pendack,host(X35)),host(X33))
| ~ setIn(X35,alive)
| ~ elem(m_Halt(X35),queue(host(X34)))
| elec_2 != index(status,host(X35)) )
& ! [X36,X37,X38] :
( ~ setIn(X36,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ? [X39] :
( ~ setIn(X39,index(down,host(X38)))
& host(X37) != X39
& ~ leq(host(X38),X39)
& leq(s(zero),X39) )
| leq(host(X38),host(X36))
| ~ elem(m_Down(X37),queue(host(X38)))
| elec_1 != index(status,host(X38)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X2,X3] :
( ? [X41] :
( ? [X42] :
( ? [X43] :
( setIn(X41,alive)
& host(X41) = index(ldr,host(X41))
& norm = index(status,host(X41))
& ~ leq(s(host(X2)),host(X41))
& setIn(X43,alive)
& elem(m_Halt(X43),snoc(queue(host(X42)),m_Halt(X2)))
& host(X2) = host(X43) )
& host(X2) != host(X42)
& s(host(X2)) = host(X42) )
& host(X2) != host(X41) )
& ~ leq(nbr_proc,host(X2))
& ! [X40] :
( setIn(X40,index(down,host(X2)))
| host(X3) = X40
| leq(host(X2),X40)
| ~ leq(s(zero),X40) )
& index(status,host(X2)) = elec_1
& ( host(X3) != index(ldr,host(X2))
| norm != index(status,host(X2)) )
& ( wait != index(status,host(X2))
| host(X3) != host(index(elid,host(X2))) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X4] : leq(index(pendack,host(X4)),nbr_proc)
& ! [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] :
( ~ leq(host(X9),host(X10))
| ~ elem(m_Halt(X10),queue(host(X9))) )
& ! [X11,X12,X13] :
( ~ leq(host(X11),host(X13))
| ~ elem(m_Ack(X13,X11),queue(host(X12))) )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| setIn(X14,alive)
| ~ leq(X15,X14)
| host(X14) != host(X15) )
& ! [X16,X17] :
( ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| X16 = X17
| host(X16) != host(X17) )
& ! [X18] :
( index(elid,host(X18)) = X18
| ( elec_1 != index(status,host(X18))
& elec_2 != index(status,host(X18)) )
| ~ setIn(X18,alive) )
& ! [X19,X20,X21] :
( ~ setIn(X19,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| ~ setIn(X21,alive)
| ~ elem(m_Down(X20),queue(host(X21)))
| host(X19) != host(X20) )
& ! [X22,X23] :
( leq(index(pendack,host(X23)),host(X22))
| leq(host(X22),host(X23))
| ~ setIn(X22,alive)
| ~ setIn(X23,alive)
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X23)) )
& ! [X24,X25,X26] :
( ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X26,alive)
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| host(X24) != host(X25) )
& ! [X27,X28] :
( ~ setIn(X27,alive)
| host(X27) != index(ldr,host(X27))
| norm != index(status,host(X27))
| leq(index(pendack,host(X28)),host(X27))
| ~ setIn(X28,alive)
| elec_2 != index(status,host(X28)) )
& ! [X29,X30] :
( X29 = X30
| ~ setIn(X29,alive)
| ~ setIn(X30,alive)
| host(X29) != index(ldr,host(X29))
| norm != index(status,host(X29))
| norm != index(status,host(X30))
| host(X30) != index(ldr,host(X30)) )
& ! [X31,X32] :
( ~ leq(index(pendack,host(X31)),index(pendack,host(X32)))
| leq(host(X31),host(X32))
| ~ setIn(X31,alive)
| ~ setIn(X32,alive)
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34,X35] :
( ~ setIn(X33,alive)
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| leq(index(pendack,host(X35)),host(X33))
| ~ setIn(X35,alive)
| ~ elem(m_Halt(X35),queue(host(X34)))
| elec_2 != index(status,host(X35)) )
& ! [X36,X37,X38] :
( ~ setIn(X36,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ? [X39] :
( ~ setIn(X39,index(down,host(X38)))
& host(X37) != X39
& ~ leq(host(X38),X39)
& leq(s(zero),X39) )
| leq(host(X38),host(X36))
| ~ elem(m_Down(X37),queue(host(X38)))
| elec_1 != index(status,host(X38)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(flattening,[],[f85]) ).
fof(f141,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f171,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f60]) ).
fof(f173,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f84]) ).
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,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f186,plain,
~ leq(s(host(sK4)),host(sK6)),
inference(cnf_transformation,[],[f86]) ).
fof(f187,plain,
norm = index(status,host(sK6)),
inference(cnf_transformation,[],[f86]) ).
fof(f188,plain,
host(sK6) = index(ldr,host(sK6)),
inference(cnf_transformation,[],[f86]) ).
fof(f189,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f190,plain,
host(sK8) = s(host(sK4)),
inference(cnf_transformation,[],[f86]) ).
fof(f192,plain,
! [X38,X36,X37] :
( elec_1 != index(status,host(X38))
| ~ elem(m_Down(X37),queue(host(X38)))
| leq(host(X38),host(X36))
| leq(s(zero),sK7(X37,X38))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X36,alive) ),
inference(cnf_transformation,[],[f86]) ).
fof(f193,plain,
! [X38,X36,X37] :
( elec_1 != index(status,host(X38))
| ~ elem(m_Down(X37),queue(host(X38)))
| leq(host(X38),host(X36))
| ~ leq(host(X38),sK7(X37,X38))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X36,alive) ),
inference(cnf_transformation,[],[f86]) ).
fof(f194,plain,
! [X38,X36,X37] :
( elec_1 != index(status,host(X38))
| ~ elem(m_Down(X37),queue(host(X38)))
| leq(host(X38),host(X36))
| host(X37) != sK7(X37,X38)
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X36,alive) ),
inference(cnf_transformation,[],[f86]) ).
fof(f195,plain,
! [X38,X36,X37] :
( elec_1 != index(status,host(X38))
| ~ elem(m_Down(X37),queue(host(X38)))
| leq(host(X38),host(X36))
| ~ setIn(sK7(X37,X38),index(down,host(X38)))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X36,alive) ),
inference(cnf_transformation,[],[f86]) ).
fof(f198,plain,
host(sK4) != host(sK6),
inference(cnf_transformation,[],[f86]) ).
fof(f199,plain,
! [X40] :
( ~ leq(s(zero),X40)
| leq(host(sK4),X40)
| host(sK5) = X40
| setIn(X40,index(down,host(sK4))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f215,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
inference(cnf_transformation,[],[f86]) ).
fof(f219,plain,
elec_1 = index(status,host(sK4)),
inference(cnf_transformation,[],[f86]) ).
fof(f227,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f141]) ).
fof(f250,plain,
! [X0] : ~ leq(X0,X0),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f254,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f255,plain,
! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X0,X1)
| leq(X1,X2) ),
inference(consistent_polarity_flipping,[],[f176]) ).
fof(f256,plain,
! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) ),
inference(consistent_polarity_flipping,[],[f178]) ).
fof(f257,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(consistent_polarity_flipping,[],[f177]) ).
fof(f260,plain,
! [X0,X1] :
( leq(X0,s(X1))
| s(X1) = X0
| ~ leq(X0,X1) ),
inference(consistent_polarity_flipping,[],[f179]) ).
fof(f272,plain,
! [X40] :
( setIn(X40,index(down,host(sK4)))
| ~ leq(host(sK4),X40)
| host(sK5) = X40
| leq(s(zero),X40) ),
inference(consistent_polarity_flipping,[],[f199]) ).
fof(f273,plain,
! [X38,X36,X37] :
( ~ elem(m_Down(X37),queue(host(X38)))
| elec_1 != index(status,host(X38))
| ~ leq(host(X38),host(X36))
| ~ setIn(sK7(X37,X38),index(down,host(X38)))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X36,alive) ),
inference(consistent_polarity_flipping,[],[f195]) ).
fof(f274,plain,
! [X38,X36,X37] :
( host(X37) != sK7(X37,X38)
| ~ elem(m_Down(X37),queue(host(X38)))
| ~ leq(host(X38),host(X36))
| elec_1 != index(status,host(X38))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X36,alive) ),
inference(consistent_polarity_flipping,[],[f194]) ).
fof(f275,plain,
! [X38,X36,X37] :
( ~ elem(m_Down(X37),queue(host(X38)))
| elec_1 != index(status,host(X38))
| ~ leq(host(X38),host(X36))
| leq(host(X38),sK7(X37,X38))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X36,alive) ),
inference(consistent_polarity_flipping,[],[f193]) ).
fof(f276,plain,
! [X38,X36,X37] :
( ~ leq(s(zero),sK7(X37,X38))
| ~ elem(m_Down(X37),queue(host(X38)))
| ~ leq(host(X38),host(X36))
| elec_1 != index(status,host(X38))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X36,alive) ),
inference(consistent_polarity_flipping,[],[f192]) ).
fof(f277,plain,
leq(s(host(sK4)),host(sK6)),
inference(consistent_polarity_flipping,[],[f186]) ).
fof(f297,plain,
leq(host(sK8),host(sK6)),
inference(forward_demodulation,[],[f277,f190]) ).
fof(f407,definition,
( spl10_12
<=> ! [X1] :
( ~ leq(host(sK4),host(X1))
| ~ setIn(X1,alive)
| host(X1) != index(ldr,host(X1))
| norm != index(status,host(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
fof(f408,plain,
( ! [X1] :
( ~ leq(host(sK4),host(X1))
| ~ setIn(X1,alive)
| host(X1) != index(ldr,host(X1))
| norm != index(status,host(X1)) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f441,plain,
elem(m_Down(sK5),queue(host(sK4))),
inference(superposition,[],[f227,f215]) ).
fof(f443,plain,
! [X0] :
( elec_1 != index(status,host(sK4))
| ~ leq(host(sK4),host(X0))
| ~ setIn(sK7(sK5,sK4),index(down,host(sK4)))
| norm != index(status,host(X0))
| host(X0) != index(ldr,host(X0))
| ~ setIn(X0,alive) ),
inference(resolution,[],[f441,f273]) ).
fof(f444,plain,
! [X0] :
( elec_1 != index(status,host(sK4))
| ~ leq(host(sK4),host(X0))
| leq(host(sK4),sK7(sK5,sK4))
| norm != index(status,host(X0))
| host(X0) != index(ldr,host(X0))
| ~ setIn(X0,alive) ),
inference(resolution,[],[f441,f275]) ).
fof(f495,plain,
! [X0] :
( ~ leq(host(sK8),s(X0))
| leq(host(sK4),X0) ),
inference(superposition,[],[f256,f190]) ).
fof(f502,plain,
! [X0] :
( leq(s(X0),host(sK8))
| ~ leq(X0,host(sK4)) ),
inference(superposition,[],[f257,f190]) ).
fof(f662,plain,
! [X2,X0,X1] :
( ~ leq(X1,X0)
| s(X0) = X1
| leq(X1,X2)
| leq(X2,s(X0)) ),
inference(resolution,[],[f260,f255]) ).
fof(f1615,plain,
! [X0] :
( host(sK8) = s(host(sK6))
| leq(host(sK8),X0)
| leq(X0,s(host(sK6))) ),
inference(resolution,[],[f662,f297]) ).
fof(f1727,definition,
( spl10_88
<=> ! [X0] :
( leq(host(sK8),X0)
| leq(X0,s(host(sK6))) ) ),
introduced(definition,[new_symbols(definition,[spl10_88])],[avatar_definition]) ).
fof(f1728,plain,
( ! [X0] :
( leq(X0,s(host(sK6)))
| leq(host(sK8),X0) )
| ~ spl10_88 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f1730,definition,
( spl10_89
<=> host(sK8) = s(host(sK6)) ),
introduced(definition,[new_symbols(definition,[spl10_89])],[avatar_definition]) ).
fof(f1732,plain,
( host(sK8) = s(host(sK6))
| ~ spl10_89 ),
inference(avatar_component_clause,[],[f1730]) ).
fof(f1733,plain,
( spl10_88
| spl10_89 ),
inference(avatar_split_clause,[],[f1615,f1730,f1727]) ).
fof(f2941,plain,
( leq(host(sK8),host(sK8))
| leq(host(sK4),host(sK6))
| ~ spl10_88 ),
inference(resolution,[],[f1728,f495]) ).
fof(f2963,plain,
( leq(host(sK4),host(sK6))
| ~ spl10_88 ),
inference(forward_subsumption_resolution,[],[f2941,f250]) ).
fof(f2987,definition,
( spl10_132
<=> leq(host(sK4),host(sK6)) ),
introduced(definition,[new_symbols(definition,[spl10_132])],[avatar_definition]) ).
fof(f2989,plain,
( leq(host(sK4),host(sK6))
| ~ spl10_132 ),
inference(avatar_component_clause,[],[f2987]) ).
fof(f2995,plain,
( spl10_132
| ~ spl10_88 ),
inference(avatar_split_clause,[],[f2963,f1727,f2987]) ).
fof(f3060,definition,
( spl10_133
<=> leq(host(sK6),host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl10_133])],[avatar_definition]) ).
fof(f3061,plain,
( ~ leq(host(sK6),host(sK4))
| spl10_133 ),
inference(avatar_component_clause,[],[f3060]) ).
fof(f3100,plain,
( leq(host(sK4),host(sK6))
| host(sK4) = host(sK6)
| spl10_133 ),
inference(resolution,[],[f3061,f254]) ).
fof(f3101,plain,
( leq(host(sK4),host(sK6))
| spl10_133 ),
inference(forward_subsumption_resolution,[],[f3100,f198]) ).
fof(f3104,plain,
( spl10_132
| spl10_133 ),
inference(avatar_split_clause,[],[f3101,f3060,f2987]) ).
fof(f3247,plain,
( ~ setIn(sK6,alive)
| host(sK6) != index(ldr,host(sK6))
| norm != index(status,host(sK6))
| ~ spl10_12
| ~ spl10_132 ),
inference(resolution,[],[f2989,f408]) ).
fof(f3263,plain,
( host(sK6) != index(ldr,host(sK6))
| norm != index(status,host(sK6))
| ~ spl10_12
| ~ spl10_132 ),
inference(forward_subsumption_resolution,[],[f3247,f189]) ).
fof(f3264,plain,
( norm != index(status,host(sK6))
| ~ spl10_12
| ~ spl10_132 ),
inference(forward_subsumption_resolution,[],[f3263,f188]) ).
fof(f3265,plain,
( $false
| ~ spl10_12
| ~ spl10_132 ),
inference(forward_subsumption_resolution,[],[f3264,f187]) ).
fof(f3266,plain,
( ~ spl10_12
| ~ spl10_132 ),
inference(avatar_contradiction_clause,[],[f3265]) ).
fof(f3284,plain,
( leq(host(sK8),host(sK8))
| ~ leq(host(sK6),host(sK4))
| ~ spl10_89 ),
inference(superposition,[],[f502,f1732]) ).
fof(f3294,plain,
( ~ leq(host(sK6),host(sK4))
| ~ spl10_89 ),
inference(forward_subsumption_resolution,[],[f3284,f250]) ).
fof(f3296,plain,
( ~ spl10_133
| ~ spl10_89 ),
inference(avatar_split_clause,[],[f3294,f1730,f3060]) ).
fof(f3302,plain,
! [X0] :
( ~ leq(host(sK4),host(X0))
| leq(host(sK4),sK7(sK5,sK4))
| norm != index(status,host(X0))
| host(X0) != index(ldr,host(X0))
| ~ setIn(X0,alive) ),
inference(forward_subsumption_resolution,[],[f444,f219]) ).
fof(f3303,plain,
! [X0] :
( ~ leq(host(sK4),host(X0))
| ~ setIn(sK7(sK5,sK4),index(down,host(sK4)))
| norm != index(status,host(X0))
| host(X0) != index(ldr,host(X0))
| ~ setIn(X0,alive) ),
inference(forward_subsumption_resolution,[],[f443,f219]) ).
fof(f3305,definition,
( spl10_148
<=> leq(host(sK4),sK7(sK5,sK4)) ),
introduced(definition,[new_symbols(definition,[spl10_148])],[avatar_definition]) ).
fof(f3307,plain,
( leq(host(sK4),sK7(sK5,sK4))
| ~ spl10_148 ),
inference(avatar_component_clause,[],[f3305]) ).
fof(f3308,plain,
( spl10_148
| spl10_12 ),
inference(avatar_split_clause,[],[f3302,f407,f3305]) ).
fof(f3310,definition,
( spl10_149
<=> setIn(sK7(sK5,sK4),index(down,host(sK4))) ),
introduced(definition,[new_symbols(definition,[spl10_149])],[avatar_definition]) ).
fof(f3312,plain,
( ~ setIn(sK7(sK5,sK4),index(down,host(sK4)))
| spl10_149 ),
inference(avatar_component_clause,[],[f3310]) ).
fof(f3313,plain,
( ~ spl10_149
| spl10_12 ),
inference(avatar_split_clause,[],[f3303,f407,f3310]) ).
fof(f3379,plain,
( ~ leq(host(sK4),sK7(sK5,sK4))
| host(sK5) = sK7(sK5,sK4)
| leq(s(zero),sK7(sK5,sK4))
| spl10_149 ),
inference(resolution,[],[f3312,f272]) ).
fof(f3380,plain,
( host(sK5) = sK7(sK5,sK4)
| leq(s(zero),sK7(sK5,sK4))
| ~ spl10_148
| spl10_149 ),
inference(forward_subsumption_resolution,[],[f3379,f3307]) ).
fof(f3382,definition,
( spl10_153
<=> leq(s(zero),sK7(sK5,sK4)) ),
introduced(definition,[new_symbols(definition,[spl10_153])],[avatar_definition]) ).
fof(f3384,plain,
( leq(s(zero),sK7(sK5,sK4))
| ~ spl10_153 ),
inference(avatar_component_clause,[],[f3382]) ).
fof(f3386,definition,
( spl10_154
<=> host(sK5) = sK7(sK5,sK4) ),
introduced(definition,[new_symbols(definition,[spl10_154])],[avatar_definition]) ).
fof(f3388,plain,
( host(sK5) = sK7(sK5,sK4)
| ~ spl10_154 ),
inference(avatar_component_clause,[],[f3386]) ).
fof(f3389,plain,
( spl10_153
| spl10_154
| ~ spl10_148
| spl10_149 ),
inference(avatar_split_clause,[],[f3380,f3310,f3305,f3386,f3382]) ).
fof(f4248,plain,
( ! [X0] :
( host(sK5) != host(sK5)
| ~ elem(m_Down(sK5),queue(host(sK4)))
| ~ leq(host(sK4),host(X0))
| elec_1 != index(status,host(sK4))
| norm != index(status,host(X0))
| host(X0) != index(ldr,host(X0))
| ~ setIn(X0,alive) )
| ~ spl10_154 ),
inference(superposition,[],[f274,f3388]) ).
fof(f4249,plain,
( ! [X0] :
( ~ elem(m_Down(sK5),queue(host(sK4)))
| ~ leq(host(sK4),host(X0))
| elec_1 != index(status,host(sK4))
| norm != index(status,host(X0))
| host(X0) != index(ldr,host(X0))
| ~ setIn(X0,alive) )
| ~ spl10_154 ),
inference(trivial_inequality_removal,[],[f4248]) ).
fof(f4250,plain,
( ! [X0] :
( ~ leq(host(sK4),host(X0))
| elec_1 != index(status,host(sK4))
| norm != index(status,host(X0))
| host(X0) != index(ldr,host(X0))
| ~ setIn(X0,alive) )
| ~ spl10_154 ),
inference(forward_subsumption_resolution,[],[f4249,f441]) ).
fof(f4252,plain,
( ! [X0] :
( ~ leq(host(sK4),host(X0))
| norm != index(status,host(X0))
| host(X0) != index(ldr,host(X0))
| ~ setIn(X0,alive) )
| ~ spl10_154 ),
inference(forward_subsumption_resolution,[],[f4250,f219]) ).
fof(f4253,plain,
( spl10_12
| ~ spl10_154 ),
inference(avatar_split_clause,[],[f4252,f3386,f407]) ).
fof(f4267,plain,
( ! [X0] :
( ~ elem(m_Down(sK5),queue(host(sK4)))
| ~ leq(host(sK4),host(X0))
| elec_1 != index(status,host(sK4))
| norm != index(status,host(X0))
| host(X0) != index(ldr,host(X0))
| ~ setIn(X0,alive) )
| ~ spl10_153 ),
inference(resolution,[],[f3384,f276]) ).
fof(f4296,plain,
( ! [X0] :
( ~ leq(host(sK4),host(X0))
| elec_1 != index(status,host(sK4))
| norm != index(status,host(X0))
| host(X0) != index(ldr,host(X0))
| ~ setIn(X0,alive) )
| ~ spl10_153 ),
inference(forward_subsumption_resolution,[],[f4267,f441]) ).
fof(f4297,plain,
( ! [X0] :
( ~ leq(host(sK4),host(X0))
| norm != index(status,host(X0))
| host(X0) != index(ldr,host(X0))
| ~ setIn(X0,alive) )
| ~ spl10_153 ),
inference(forward_subsumption_resolution,[],[f4296,f219]) ).
fof(f4298,plain,
( spl10_12
| ~ spl10_153 ),
inference(avatar_split_clause,[],[f4297,f3382,f407]) ).
cnf(s75,plain,
( spl10_88
| spl10_89 ),
inference(sat_conversion,[],[f1733]) ).
cnf(s154,plain,
( ~ spl10_88
| spl10_132 ),
inference(sat_conversion,[],[f2995]) ).
cnf(s157,plain,
( spl10_132
| spl10_133 ),
inference(sat_conversion,[],[f3104]) ).
cnf(s177,plain,
( ~ spl10_12
| ~ spl10_132 ),
inference(sat_conversion,[],[f3266]) ).
cnf(s178,plain,
( ~ spl10_89
| ~ spl10_133 ),
inference(sat_conversion,[],[f3296]) ).
cnf(s189,plain,
( spl10_12
| spl10_148 ),
inference(sat_conversion,[],[f3308]) ).
cnf(s190,plain,
( spl10_12
| ~ spl10_149 ),
inference(sat_conversion,[],[f3313]) ).
cnf(s202,plain,
( ~ spl10_148
| spl10_149
| spl10_153
| spl10_154 ),
inference(sat_conversion,[],[f3389]) ).
cnf(s245,plain,
( spl10_12
| ~ spl10_154 ),
inference(sat_conversion,[],[f4253]) ).
cnf(s249,plain,
( spl10_12
| ~ spl10_153 ),
inference(sat_conversion,[],[f4298]) ).
cnf(s255,plain,
spl10_12,
inference(rat,[],[s202,s189,s190,s245,s249]) ).
cnf(s256,plain,
~ spl10_132,
inference(rat,[],[s177,s255]) ).
cnf(s257,plain,
spl10_133,
inference(rat,[],[s157,s256]) ).
cnf(s258,plain,
~ spl10_88,
inference(rat,[],[s154,s256]) ).
cnf(s259,plain,
~ spl10_89,
inference(rat,[],[s178,s257]) ).
cnf(s260,plain,
$false,
inference(rat,[],[s75,s259,s258]) ).
fof(f4299,plain,
$false,
inference(avatar_sat_refutation,[],[s260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV458+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n003.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 11:10:42 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 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
% 0.86/0.40 % (1517096)Will run a generic schedule for satisfiability detection.
% 0.86/0.40 % (1517101)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4081287915_2999 on theBenchmark for (2999ds/0Mi)
% 0.86/0.40 % (1517102)% WARNING: option uhcvi not known.
% 0.86/0.40 % (1517102)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3318117890:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.86/0.40 % (1517103)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1434832002:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.86/0.40 % (1517104)dis+10_1_sil=32000:sp=arity:random_seed=3838164814:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.86/0.40 % (1517105)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2876090713:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.86/0.40 % (1517106)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3002023976:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.86/0.40 % Detected minimum model sizes of [4]
% 0.86/0.40 % Detected maximum model sizes of [max]
% 0.86/0.40 % TRYING [4]
% 0.86/0.40 % (1517107)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=249423179:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.86/0.40 % TRYING [5]
% 0.86/0.40 % TRYING [6]
% 0.86/0.40 % (1517105)Instruction limit reached!
% 0.86/0.40 % (1517105)------------------------------
% 0.86/0.40 % (1517105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.40 % (1517105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.40 % (1517105)CaDiCaL version: 2.1.3
% 0.86/0.40 % (1517105)Termination reason: Instruction limit
% 0.86/0.40 % (1517105)Termination phase: Saturation
% 0.86/0.40 % (1517105)Time elapsed: 0.065 s
% 0.86/0.40 % (1517105)Peak memory usage: 12 MB
% 0.86/0.40 % (1517105)Instructions burned: 118 (million)
% 0.86/0.40 % (1517104)Instruction limit reached!
% 0.86/0.40 % (1517104)------------------------------
% 0.86/0.40 % (1517104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.40 % (1517104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.40 % (1517104)CaDiCaL version: 2.1.3
% 0.86/0.40 % (1517104)Termination reason: Instruction limit
% 0.86/0.40 % (1517104)Termination phase: Saturation
% 0.86/0.40 % (1517104)Time elapsed: 0.068 s
% 0.86/0.40 % (1517104)Peak memory usage: 12 MB
% 0.86/0.40 % (1517104)Instructions burned: 103 (million)
% 0.86/0.40 % (1517106)Instruction limit reached!
% 0.86/0.40 % (1517106)------------------------------
% 0.86/0.40 % (1517106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.40 % (1517106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.40 % (1517106)CaDiCaL version: 2.1.3
% 0.86/0.40 % (1517106)Termination reason: Instruction limit
% 0.86/0.40 % (1517106)Termination phase: Saturation
% 0.86/0.40 % (1517106)Time elapsed: 0.084 s
% 0.86/0.40 % (1517106)Peak memory usage: 13 MB
% 0.86/0.40 % (1517106)Instructions burned: 133 (million)
% 0.86/0.40 % (1517115)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3050202565:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.86/0.40 % (1517116)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1188108521:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.86/0.40 % TRYING [7]
% 0.86/0.40 % Detected minimum model sizes of [4]
% 0.86/0.40 % Detected maximum model sizes of [max]
% 0.86/0.40 % TRYING [4]
% 0.86/0.40 % (1517107)Instruction limit reached!
% 0.86/0.40 % (1517107)------------------------------
% 0.86/0.40 % (1517107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.40 % (1517107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.40 % (1517107)CaDiCaL version: 2.1.3
% 0.86/0.40 % (1517107)Termination reason: Instruction limit
% 0.86/0.40 % (1517107)Termination phase: Saturation
% 0.86/0.40 % (1517107)Time elapsed: 0.101 s
% 0.86/0.40 % (1517107)Peak memory usage: 13 MB
% 0.86/0.40 % (1517107)Instructions burned: 160 (million)
% 0.86/0.40 % (1517117)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3064331431:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.86/0.40 % (1517102) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1517096-1517102"...
% 0.86/0.40 % (1517102)...printing done.
% 0.86/0.40 % (1517102)Refutation found. Thanks to Tanya!
% 0.86/0.40 % SZS status Theorem for theBenchmark
% 0.86/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.86/0.40 % (1517102)------------------------------
% 0.86/0.40 % (1517102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.40 % (1517102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.40 % (1517102)CaDiCaL version: 2.1.3
% 0.86/0.40 % (1517102)Termination reason: Refutation
% 0.86/0.40 % (1517102)Time elapsed: 0.115 s
% 0.86/0.40 % (1517102)Peak memory usage: 14 MB
% 0.86/0.40 % (1517102)Instructions burned: 170 (million)
% 0.86/0.40 % (1517096)Success in time 0.162 s
% 0.86/0.40 % Vampire exiting
%------------------------------------------------------------------------------