%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV474+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:22:15 PM UTC 2026
% Result : Theorem 6.00s 1.74s
% Output : CNFRefutation 6.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 121 ( 67 unt; 13 def)
% Number of atoms : 950 ( 404 equ)
% Maximal formula atoms : 75 ( 7 avg)
% Number of connectives : 1134 ( 444 ~; 354 |; 271 &)
% ( 2 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 14 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 19 con; 0-2 aty)
% Number of variables : 358 ( 2 sgn 331 !; 27 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X7,X6,X5] :
( ( index(status,host(X5)) = elec_1
& host(X5) = host(X7)
& host(X5) = nbr_proc
& elem(m_Down(X6),queue(host(X5)))
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X5),X8) )
=> ( X8 = host(X6)
| setIn(X8,index(down,host(X5))) ) ) )
=> ~ ( elem(m_Down(X7),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( setIn(host(X7),index(down,host(X6)))
& elem(m_Down(X5),queue(host(X4))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( elem(m_Down(X7),queue(host(X6)))
& elem(m_Down(X5),queue(host(X4))) ) )
& ! [X4,X6,X5] :
( ( host(index(elid,host(X5))) = host(X6)
& index(status,host(X5)) = wait
& host(X5) = host(X4)
& setIn(X5,alive)
& host(X5) != host(X6) )
=> ~ elem(m_Down(X4),queue(host(X6))) )
& ! [X4,X6,X5] :
( ( index(ldr,host(X5)) = host(X6)
& index(status,host(X5)) = norm
& host(X5) = host(X4)
& setIn(X5,alive)
& host(X5) != host(X6) )
=> ~ elem(m_Down(X4),queue(host(X6))) )
& ! [X4] :
( ( setIn(X4,alive)
& ( index(status,host(X4)) = elec_2
| index(status,host(X4)) = elec_1 ) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X5] :
( host(X5) = nbr_proc
=> ~ elem(m_NotNorm(X4),queue(host(X5))) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
=> ( ~ ( index(status,host(X2)) = elec_1
& ! [X4] :
( ( leq(s(zero),X4)
& ~ leq(host(X2),X4) )
=> ( X4 = host(X3)
| setIn(X4,index(down,host(X2))) ) ) )
=> ! [X4] :
( host(X2) != host(X4)
=> ! [X9,X10,X11] :
( host(X2) = host(X11)
=> ( ( index(status,host(X11)) = elec_1
& host(X11) = nbr_proc
& host(X11) = host(X9)
& elem(m_Down(X10),X0)
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X11),X8) )
=> ( X8 = host(X10)
| X8 = host(X3)
| setIn(X8,index(down,host(X2))) ) ) )
=> ~ ( elem(m_Down(X9),queue(host(X4)))
& setIn(X4,alive) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X7,X6,X5] :
( ( index(status,host(X5)) = elec_1
& host(X5) = host(X7)
& host(X5) = nbr_proc
& elem(m_Down(X6),queue(host(X5)))
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X5),X8) )
=> ( X8 = host(X6)
| setIn(X8,index(down,host(X5))) ) ) )
=> ~ ( elem(m_Down(X7),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( setIn(host(X7),index(down,host(X6)))
& elem(m_Down(X5),queue(host(X4))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( elem(m_Down(X7),queue(host(X6)))
& elem(m_Down(X5),queue(host(X4))) ) )
& ! [X4,X6,X5] :
( ( host(index(elid,host(X5))) = host(X6)
& index(status,host(X5)) = wait
& host(X5) = host(X4)
& setIn(X5,alive)
& host(X5) != host(X6) )
=> ~ elem(m_Down(X4),queue(host(X6))) )
& ! [X4,X6,X5] :
( ( index(ldr,host(X5)) = host(X6)
& index(status,host(X5)) = norm
& host(X5) = host(X4)
& setIn(X5,alive)
& host(X5) != host(X6) )
=> ~ elem(m_Down(X4),queue(host(X6))) )
& ! [X4] :
( ( setIn(X4,alive)
& ( index(status,host(X4)) = elec_2
| index(status,host(X4)) = elec_1 ) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X5] :
( host(X5) = nbr_proc
=> ~ elem(m_NotNorm(X4),queue(host(X5))) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
=> ( ~ ( index(status,host(X2)) = elec_1
& ! [X4] :
( ( leq(s(zero),X4)
& ~ leq(host(X2),X4) )
=> ( X4 = host(X3)
| setIn(X4,index(down,host(X2))) ) ) )
=> ! [X4] :
( host(X2) != host(X4)
=> ! [X9,X10,X11] :
( host(X2) = host(X11)
=> ( ( index(status,host(X11)) = elec_1
& host(X11) = nbr_proc
& host(X11) = host(X9)
& elem(m_Down(X10),X0)
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X11),X8) )
=> ( X8 = host(X10)
| X8 = host(X3)
| setIn(X8,index(down,host(X2))) ) ) )
=> ~ ( elem(m_Down(X9),queue(host(X4)))
& setIn(X4,alive) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X27,X28,X29,X30] :
( ( elec_1 = index(status,host(X30))
& host(X30) = host(X28)
& nbr_proc = host(X30)
& elem(m_Down(X29),queue(host(X30)))
& ! [X31] :
( ( leq(s(zero),X31)
& ~ leq(host(X30),X31) )
=> ( host(X29) = X31
| setIn(X31,index(down,host(X30))) ) ) )
=> ~ ( elem(m_Down(X28),queue(host(X27)))
& setIn(X27,alive) ) )
& ! [X23,X24,X25,X26] :
( ( host(X25) = host(X26)
& host(X23) = host(X24)
& setIn(X25,alive)
& setIn(X23,alive)
& host(X23) != host(X25) )
=> ~ ( setIn(host(X24),index(down,host(X25)))
& elem(m_Down(X26),queue(host(X23))) ) )
& ! [X19,X20,X21,X22] :
( ( host(X21) = host(X22)
& host(X19) = host(X20)
& setIn(X21,alive)
& setIn(X19,alive)
& host(X19) != host(X21) )
=> ~ ( elem(m_Down(X20),queue(host(X21)))
& elem(m_Down(X22),queue(host(X19))) ) )
& ! [X16,X17,X18] :
( ( host(X17) = host(index(elid,host(X18)))
& wait = index(status,host(X18))
& host(X18) = host(X16)
& setIn(X18,alive)
& host(X18) != host(X17) )
=> ~ elem(m_Down(X16),queue(host(X17))) )
& ! [X13,X14,X15] :
( ( host(X14) = index(ldr,host(X15))
& norm = index(status,host(X15))
& host(X15) = host(X13)
& setIn(X15,alive)
& host(X15) != host(X14) )
=> ~ elem(m_Down(X13),queue(host(X14))) )
& ! [X12] :
( ( setIn(X12,alive)
& ( elec_2 = index(status,host(X12))
| elec_1 = index(status,host(X12)) ) )
=> index(elid,host(X12)) = X12 )
& ! [X10,X11] :
( ( host(X11) = host(X10)
& X10 != X11 )
=> ( ~ setIn(X11,alive)
| ~ setIn(X10,alive) ) )
& ! [X8,X9] :
( nbr_proc = host(X9)
=> ~ elem(m_NotNorm(X8),queue(host(X9))) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X6) != host(X7) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
=> ( ~ ( index(status,host(X2)) = elec_1
& ! [X32] :
( ( leq(s(zero),X32)
& ~ leq(host(X2),X32) )
=> ( host(X3) = X32
| setIn(X32,index(down,host(X2))) ) ) )
=> ! [X33] :
( host(X2) != host(X33)
=> ! [X34,X35,X36] :
( host(X2) = host(X36)
=> ( ( elec_1 = index(status,host(X36))
& nbr_proc = host(X36)
& host(X36) = host(X34)
& elem(m_Down(X35),X0)
& ! [X37] :
( ( leq(s(zero),X37)
& ~ leq(host(X36),X37) )
=> ( host(X35) = X37
| host(X3) = X37
| setIn(X37,index(down,host(X2))) ) ) )
=> ~ ( elem(m_Down(X34),queue(host(X33)))
& setIn(X33,alive) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X2,X3] :
( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X27,X28,X29,X30] :
( elec_1 != index(status,host(X30))
| host(X30) != host(X28)
| nbr_proc != host(X30)
| ~ elem(m_Down(X29),queue(host(X30)))
| ? [X31] :
( leq(s(zero),X31)
& ~ leq(host(X30),X31)
& host(X29) != X31
& ~ setIn(X31,index(down,host(X30))) )
| ~ elem(m_Down(X28),queue(host(X27)))
| ~ setIn(X27,alive) )
& ! [X23,X24,X25,X26] :
( host(X25) != host(X26)
| host(X23) != host(X24)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive)
| host(X23) = host(X25)
| ~ setIn(host(X24),index(down,host(X25)))
| ~ elem(m_Down(X26),queue(host(X23))) )
& ! [X19,X20,X21,X22] :
( host(X21) != host(X22)
| host(X19) != host(X20)
| ~ setIn(X21,alive)
| ~ setIn(X19,alive)
| host(X19) = host(X21)
| ~ elem(m_Down(X20),queue(host(X21)))
| ~ elem(m_Down(X22),queue(host(X19))) )
& ! [X16,X17,X18] :
( host(X17) != host(index(elid,host(X18)))
| wait != index(status,host(X18))
| host(X18) != host(X16)
| ~ setIn(X18,alive)
| host(X18) = host(X17)
| ~ elem(m_Down(X16),queue(host(X17))) )
& ! [X13,X14,X15] :
( host(X14) != index(ldr,host(X15))
| norm != index(status,host(X15))
| host(X15) != host(X13)
| ~ setIn(X15,alive)
| host(X15) = host(X14)
| ~ elem(m_Down(X13),queue(host(X14))) )
& ! [X12] :
( ~ setIn(X12,alive)
| ( elec_2 != index(status,host(X12))
& elec_1 != index(status,host(X12)) )
| index(elid,host(X12)) = X12 )
& ! [X10,X11] :
( host(X11) != host(X10)
| X10 = X11
| ~ setIn(X11,alive)
| ~ setIn(X10,alive) )
& ! [X8,X9] :
( nbr_proc != host(X9)
| ~ elem(m_NotNorm(X8),queue(host(X9))) )
& ! [X6,X7] :
( ~ elem(m_Down(X7),queue(host(X6)))
| host(X6) != host(X7) )
& ! [X4,X5] :
( ~ elem(m_Ldr(X5),queue(host(X4)))
| ~ leq(host(X4),host(X5)) )
& setIn(X2,alive)
& ~ leq(host(X2),host(X3))
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ( elec_1 != index(status,host(X2))
| ? [X32] :
( leq(s(zero),X32)
& ~ leq(host(X2),X32)
& host(X3) != X32
& ~ setIn(X32,index(down,host(X2))) ) )
& ? [X33] :
( host(X2) != host(X33)
& ? [X34,X35,X36] :
( host(X2) = host(X36)
& elec_1 = index(status,host(X36))
& nbr_proc = host(X36)
& host(X36) = host(X34)
& elem(m_Down(X35),X0)
& ! [X37] :
( ~ leq(s(zero),X37)
| leq(host(X36),X37)
| host(X35) = X37
| host(X3) = X37
| setIn(X37,index(down,host(X2))) )
& elem(m_Down(X34),queue(host(X33)))
& setIn(X33,alive) ) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X2,X3] :
( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X27,X28,X29,X30] :
( elec_1 != index(status,host(X30))
| host(X30) != host(X28)
| nbr_proc != host(X30)
| ~ elem(m_Down(X29),queue(host(X30)))
| ? [X31] :
( leq(s(zero),X31)
& ~ leq(host(X30),X31)
& host(X29) != X31
& ~ setIn(X31,index(down,host(X30))) )
| ~ elem(m_Down(X28),queue(host(X27)))
| ~ setIn(X27,alive) )
& ! [X23,X24,X25,X26] :
( host(X25) != host(X26)
| host(X23) != host(X24)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive)
| host(X23) = host(X25)
| ~ setIn(host(X24),index(down,host(X25)))
| ~ elem(m_Down(X26),queue(host(X23))) )
& ! [X19,X20,X21,X22] :
( host(X21) != host(X22)
| host(X19) != host(X20)
| ~ setIn(X21,alive)
| ~ setIn(X19,alive)
| host(X19) = host(X21)
| ~ elem(m_Down(X20),queue(host(X21)))
| ~ elem(m_Down(X22),queue(host(X19))) )
& ! [X16,X17,X18] :
( host(X17) != host(index(elid,host(X18)))
| wait != index(status,host(X18))
| host(X18) != host(X16)
| ~ setIn(X18,alive)
| host(X18) = host(X17)
| ~ elem(m_Down(X16),queue(host(X17))) )
& ! [X13,X14,X15] :
( host(X14) != index(ldr,host(X15))
| norm != index(status,host(X15))
| host(X15) != host(X13)
| ~ setIn(X15,alive)
| host(X15) = host(X14)
| ~ elem(m_Down(X13),queue(host(X14))) )
& ! [X12] :
( ~ setIn(X12,alive)
| ( elec_2 != index(status,host(X12))
& elec_1 != index(status,host(X12)) )
| index(elid,host(X12)) = X12 )
& ! [X10,X11] :
( host(X11) != host(X10)
| X10 = X11
| ~ setIn(X11,alive)
| ~ setIn(X10,alive) )
& ! [X8,X9] :
( nbr_proc != host(X9)
| ~ elem(m_NotNorm(X8),queue(host(X9))) )
& ! [X6,X7] :
( ~ elem(m_Down(X7),queue(host(X6)))
| host(X6) != host(X7) )
& ! [X4,X5] :
( ~ elem(m_Ldr(X5),queue(host(X4)))
| ~ leq(host(X4),host(X5)) )
& setIn(X2,alive)
& ~ leq(host(X2),host(X3))
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ( elec_1 != index(status,host(X2))
| ? [X32] :
( leq(s(zero),X32)
& ~ leq(host(X2),X32)
& host(X3) != X32
& ~ setIn(X32,index(down,host(X2))) ) )
& ? [X33] :
( host(X2) != host(X33)
& ? [X34,X35,X36] :
( host(X2) = host(X36)
& elec_1 = index(status,host(X36))
& nbr_proc = host(X36)
& host(X36) = host(X34)
& elem(m_Down(X35),X0)
& ! [X37] :
( ~ leq(s(zero),X37)
| leq(host(X36),X37)
| host(X35) = X37
| host(X3) = X37
| setIn(X37,index(down,host(X2))) )
& elem(m_Down(X34),queue(host(X33)))
& setIn(X33,alive) ) ) ),
inference(flattening,[],[f85]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( ~ elem(X0,cons(X1,X2))
| elem(X0,X2)
| X0 = X1 )
& ( ( ~ elem(X0,X2)
& X0 != X1 )
| elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( ~ elem(X0,cons(X1,X2))
| elem(X0,X2)
| X0 = X1 )
& ( ( ~ elem(X0,X2)
& X0 != X1 )
| elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f92]) ).
fof(f107,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ( leq(X1,X0)
& leq(X0,X1) ) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f108,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ( leq(X1,X0)
& leq(X0,X1) ) ) ),
inference(flattening,[],[f107]) ).
fof(f112,plain,
? [X0,X1,X2] :
( queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X32,X33,X34,X35] :
( elec_1 != index(status,host(X35))
| host(X33) != host(X35)
| nbr_proc != host(X35)
| ~ elem(m_Down(X34),queue(host(X35)))
| ? [X36] :
( leq(s(zero),X36)
& ~ leq(host(X35),X36)
& host(X34) != X36
& ~ setIn(X36,index(down,host(X35))) )
| ~ elem(m_Down(X33),queue(host(X32)))
| ~ setIn(X32,alive) )
& ! [X28,X29,X30,X31] :
( host(X30) != host(X31)
| host(X29) != host(X28)
| ~ setIn(X30,alive)
| ~ setIn(X28,alive)
| host(X30) = host(X28)
| ~ setIn(host(X29),index(down,host(X30)))
| ~ elem(m_Down(X31),queue(host(X28))) )
& ! [X24,X25,X26,X27] :
( host(X26) != host(X27)
| host(X25) != host(X24)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive)
| host(X24) = host(X26)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X24))) )
& ! [X21,X22,X23] :
( host(X22) != host(index(elid,host(X23)))
| wait != index(status,host(X23))
| host(X21) != host(X23)
| ~ setIn(X23,alive)
| host(X22) = host(X23)
| ~ elem(m_Down(X21),queue(host(X22))) )
& ! [X18,X19,X20] :
( host(X19) != index(ldr,host(X20))
| norm != index(status,host(X20))
| host(X18) != host(X20)
| ~ setIn(X20,alive)
| host(X19) = host(X20)
| ~ elem(m_Down(X18),queue(host(X19))) )
& ! [X17] :
( ~ setIn(X17,alive)
| ( elec_2 != index(status,host(X17))
& elec_1 != index(status,host(X17)) )
| index(elid,host(X17)) = X17 )
& ! [X15,X16] :
( host(X15) != host(X16)
| X15 = X16
| ~ setIn(X16,alive)
| ~ setIn(X15,alive) )
& ! [X13,X14] :
( nbr_proc != host(X14)
| ~ elem(m_NotNorm(X13),queue(host(X14))) )
& ! [X11,X12] :
( ~ elem(m_Down(X12),queue(host(X11)))
| host(X11) != host(X12) )
& ! [X9,X10] :
( ~ elem(m_Ldr(X10),queue(host(X9)))
| ~ leq(host(X9),host(X10)) )
& setIn(X1,alive)
& ~ leq(host(X1),host(X2))
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ( elec_1 != index(status,host(X1))
| ? [X8] :
( leq(s(zero),X8)
& ~ leq(host(X1),X8)
& host(X2) != X8
& ~ setIn(X8,index(down,host(X1))) ) )
& ? [X3] :
( host(X1) != host(X3)
& ? [X4,X5,X6] :
( host(X1) = host(X6)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),X0)
& ! [X7] :
( ~ leq(s(zero),X7)
| leq(host(X6),X7)
| host(X5) = X7
| host(X2) = X7
| setIn(X7,index(down,host(X1))) )
& elem(m_Down(X4),queue(host(X3)))
& setIn(X3,alive) ) ) ),
inference(rectify,[],[f86]) ).
fof(f113,plain,
( queue(host(sK4)) = cons(m_Down(sK5),sK3)
& ! [X32,X33,X34,X35] :
( elec_1 != index(status,host(X35))
| host(X33) != host(X35)
| nbr_proc != host(X35)
| ~ elem(m_Down(X34),queue(host(X35)))
| ( leq(s(zero),sK11(X34,X35))
& ~ leq(host(X35),sK11(X34,X35))
& host(X34) != sK11(X34,X35)
& ~ setIn(sK11(X34,X35),index(down,host(X35))) )
| ~ elem(m_Down(X33),queue(host(X32)))
| ~ setIn(X32,alive) )
& ! [X28,X29,X30,X31] :
( host(X30) != host(X31)
| host(X29) != host(X28)
| ~ setIn(X30,alive)
| ~ setIn(X28,alive)
| host(X30) = host(X28)
| ~ setIn(host(X29),index(down,host(X30)))
| ~ elem(m_Down(X31),queue(host(X28))) )
& ! [X24,X25,X26,X27] :
( host(X26) != host(X27)
| host(X25) != host(X24)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive)
| host(X24) = host(X26)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X24))) )
& ! [X21,X22,X23] :
( host(X22) != host(index(elid,host(X23)))
| wait != index(status,host(X23))
| host(X21) != host(X23)
| ~ setIn(X23,alive)
| host(X22) = host(X23)
| ~ elem(m_Down(X21),queue(host(X22))) )
& ! [X18,X19,X20] :
( host(X19) != index(ldr,host(X20))
| norm != index(status,host(X20))
| host(X18) != host(X20)
| ~ setIn(X20,alive)
| host(X19) = host(X20)
| ~ elem(m_Down(X18),queue(host(X19))) )
& ! [X17] :
( ~ setIn(X17,alive)
| ( elec_2 != index(status,host(X17))
& elec_1 != index(status,host(X17)) )
| index(elid,host(X17)) = X17 )
& ! [X15,X16] :
( host(X15) != host(X16)
| X15 = X16
| ~ setIn(X16,alive)
| ~ setIn(X15,alive) )
& ! [X13,X14] :
( nbr_proc != host(X14)
| ~ elem(m_NotNorm(X13),queue(host(X14))) )
& ! [X11,X12] :
( ~ elem(m_Down(X12),queue(host(X11)))
| host(X11) != host(X12) )
& ! [X9,X10] :
( ~ elem(m_Ldr(X10),queue(host(X9)))
| ~ leq(host(X9),host(X10)) )
& setIn(sK4,alive)
& ~ leq(host(sK4),host(sK5))
& ( host(sK5) != host(index(elid,host(sK4)))
| wait != index(status,host(sK4)) )
& ( norm != index(status,host(sK4))
| host(sK5) != index(ldr,host(sK4)) )
& ( elec_1 != index(status,host(sK4))
| ( leq(s(zero),sK10)
& ~ leq(host(sK4),sK10)
& host(sK5) != sK10
& ~ setIn(sK10,index(down,host(sK4))) ) )
& host(sK6) != host(sK4)
& host(sK4) = host(sK9)
& elec_1 = index(status,host(sK9))
& nbr_proc = host(sK9)
& host(sK9) = host(sK7)
& elem(m_Down(sK8),sK3)
& ! [X7] :
( ~ leq(s(zero),X7)
| leq(host(sK9),X7)
| host(sK8) = X7
| host(sK5) = X7
| setIn(X7,index(down,host(sK4))) )
& elem(m_Down(sK7),queue(host(sK6)))
& setIn(sK6,alive) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X8,sK10),skolemize(X36,sK11(X34,X35))],[f112]) ).
fof(f117,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ elem(X0,X2)
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f168,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f93]) ).
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_Down(sK5),sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f215,plain,
! [X31,X28,X29,X30] :
( host(X30) != host(X31)
| host(X29) != host(X28)
| ~ setIn(X30,alive)
| ~ setIn(X28,alive)
| host(X30) = host(X28)
| ~ setIn(host(X29),index(down,host(X30)))
| ~ elem(m_Down(X31),queue(host(X28))) ),
inference(cnf_transformation,[],[f113]) ).
fof(f216,plain,
! [X26,X27,X24,X25] :
( host(X26) != host(X27)
| host(X25) != host(X24)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive)
| host(X24) = host(X26)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X24))) ),
inference(cnf_transformation,[],[f113]) ).
fof(f225,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f233,plain,
host(sK6) != host(sK4),
inference(cnf_transformation,[],[f113]) ).
fof(f234,plain,
host(sK4) = host(sK9),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
nbr_proc = host(sK9),
inference(cnf_transformation,[],[f113]) ).
fof(f237,plain,
host(sK9) = host(sK7),
inference(cnf_transformation,[],[f113]) ).
fof(f238,plain,
elem(m_Down(sK8),sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f239,plain,
! [X7] :
( ~ leq(s(zero),X7)
| leq(host(sK9),X7)
| host(sK8) = X7
| host(sK5) = X7
| setIn(X7,index(down,host(sK4))) ),
inference(cnf_transformation,[],[f113]) ).
fof(f240,plain,
elem(m_Down(sK7),queue(host(sK6))),
inference(cnf_transformation,[],[f113]) ).
fof(f241,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f248,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f168]) ).
tcf(c_52,plain,
! [X0: $i] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f117]) ).
tcf(c_54,plain,
! [X0: $i] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f119]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] : elem(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f248]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( elem(X0,cons(X2,X1))
| ~ elem(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_139,negated_conjecture,
setIn(sK6,alive),
inference(cnf_transformation,[],[f241]) ).
tcf(c_140,negated_conjecture,
elem(m_Down(sK7),queue(host(sK6))),
inference(cnf_transformation,[],[f240]) ).
tcf(c_141,negated_conjecture,
! [X0: $i] :
( leq(host(sK9),X0)
| setIn(X0,index(down,host(sK4)))
| ( host(sK8) = X0 )
| ( host(sK5) = X0 )
| ~ leq(s(zero),X0) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_142,negated_conjecture,
elem(m_Down(sK8),sK3),
inference(cnf_transformation,[],[f238]) ).
tcf(c_143,negated_conjecture,
host(sK7) = host(sK9),
inference(cnf_transformation,[],[f237]) ).
tcf(c_144,negated_conjecture,
host(sK9) = nbr_proc,
inference(cnf_transformation,[],[f236]) ).
tcf(c_146,negated_conjecture,
host(sK4) = host(sK9),
inference(cnf_transformation,[],[f234]) ).
tcf(c_147,negated_conjecture,
host(sK6) != host(sK4),
inference(cnf_transformation,[],[f233]) ).
tcf(c_155,negated_conjecture,
setIn(sK4,alive),
inference(cnf_transformation,[],[f225]) ).
tcf(c_164,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( host(X1) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X3),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(X2)))
| ( host(X2) != host(X3) )
| ( host(X0) != host(X1) ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_165,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( host(X1) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X3),queue(host(X1)))
| ~ setIn(host(X0),index(down,host(X2)))
| ( host(X2) != host(X3) )
| ( host(X0) != host(X1) ) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_170,negated_conjecture,
cons(m_Down(sK5),sK3) = queue(host(sK4)),
inference(cnf_transformation,[],[f210]) ).
tcf(c_1042,plain,
host(sK4) = nbr_proc,
inference(light_normalisation,[status(thm)],[c_146,c_144]) ).
tcf(c_1044,plain,
host(sK7) = nbr_proc,
inference(light_normalisation,[status(thm)],[c_143,c_144]) ).
tcf(c_1047,plain,
host(sK6) != nbr_proc,
inference(light_normalisation,[status(thm)],[c_147,c_1042]) ).
tcf(c_1066,plain,
cons(m_Down(sK5),sK3) = queue(nbr_proc),
inference(light_normalisation,[status(thm)],[c_170,c_1042]) ).
tcf(c_1281,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| setIn(X0,index(down,nbr_proc))
| ( host(sK8) = X0 )
| ( host(sK5) = X0 )
| ~ leq(s(zero),X0) ),
inference(light_normalisation,[status(thm)],[c_141,c_144,c_1042]) ).
tcf(c_2582,definition,
iPr_def_10 = s(zero),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2583,definition,
iPr_def_11 = host(sK5),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2584,definition,
iPr_def_12 = host(sK8),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2585,definition,
iPr_def_13 = index(down,nbr_proc),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2586,definition,
iPr_def_14 = m_Down(sK5),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2587,definition,
iPr_def_15 = cons(iPr_def_14,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_2588,definition,
iPr_def_16 = queue(nbr_proc),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_2590,definition,
iPr_def_18 = host(sK6),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_2591,definition,
iPr_def_19 = host(sK7),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_2592,definition,
iPr_def_20 = host(sK4),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_2594,definition,
iPr_def_22 = m_Down(sK8),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_2595,definition,
iPr_def_23 = m_Down(sK7),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_2596,definition,
iPr_def_24 = queue(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_2597,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| setIn(X0,iPr_def_13)
| ( iPr_def_12 = X0 )
| ( iPr_def_11 = X0 )
| ~ leq(iPr_def_10,X0) ),
inference(demodulation,[status(thm)],[c_1281,c_2585,c_2584,c_2583,c_2582]) ).
tcf(c_2602,plain,
iPr_def_15 = iPr_def_16,
inference(demodulation,[status(thm)],[c_1066,c_2588,c_2586,c_2587]) ).
tcf(c_2604,plain,
iPr_def_18 != nbr_proc,
inference(demodulation,[status(thm)],[c_1047,c_2590]) ).
tcf(c_2605,plain,
iPr_def_19 = nbr_proc,
inference(demodulation,[status(thm)],[c_1044,c_2591]) ).
tcf(c_2607,plain,
iPr_def_20 = nbr_proc,
inference(demodulation,[status(thm)],[c_1042,c_2592]) ).
tcf(c_2612,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( host(X1) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X3),queue(host(X1)))
| ~ setIn(host(X0),index(down,host(X2)))
| ( host(X2) != host(X3) )
| ( host(X0) != host(X1) ) ),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_2613,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( host(X1) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X3),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(X2)))
| ( host(X2) != host(X3) )
| ( host(X0) != host(X1) ) ),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_2622,negated_conjecture,
setIn(sK4,alive),
inference(demodulation,[status(thm)],[c_155]) ).
tcf(c_2624,negated_conjecture,
elem(iPr_def_22,sK3),
inference(demodulation,[status(thm)],[c_142,c_2594]) ).
tcf(c_2625,negated_conjecture,
elem(iPr_def_23,iPr_def_24),
inference(demodulation,[status(thm)],[c_140,c_2596,c_2595]) ).
tcf(c_2626,negated_conjecture,
setIn(sK6,alive),
inference(demodulation,[status(thm)],[c_139]) ).
tcf(c_4594,plain,
! [X0: $i] : leq(host(X0),iPr_def_19),
inference(light_normalisation,[status(thm)],[c_54,c_2605]) ).
tcf(c_5166,plain,
iPr_def_19 = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_2607,c_2605]) ).
tcf(c_5167,plain,
! [X0: $i] : leq(iPr_def_10,host(X0)),
inference(light_normalisation,[status(thm)],[c_52,c_2582]) ).
tcf(c_5181,plain,
iPr_def_18 != iPr_def_19,
inference(light_normalisation,[status(thm)],[c_2604,c_2605]) ).
tcf(c_5224,plain,
index(down,iPr_def_19) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_2585,c_2605]) ).
tcf(c_5248,plain,
! [X0: $i] :
( leq(iPr_def_19,X0)
| setIn(X0,iPr_def_13)
| ( X0 = iPr_def_12 )
| ( X0 = iPr_def_11 )
| ~ leq(iPr_def_10,X0) ),
inference(light_normalisation,[status(thm)],[c_2597,c_2605]) ).
tcf(c_5370,plain,
queue(iPr_def_19) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_2588,c_2602,c_2605]) ).
tcf(c_5378,plain,
leq(iPr_def_10,iPr_def_18),
inference(superposition,[status(thm)],[c_2590,c_5167]) ).
tcf(c_5394,plain,
leq(iPr_def_18,iPr_def_19),
inference(superposition,[status(thm)],[c_2590,c_4594]) ).
tcf(c_5400,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X1) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK6)))
| ~ setIn(host(X0),index(down,host(X1)))
| ( host(X1) != host(X2) )
| ( host(X0) != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2590,c_2612]) ).
tcf(c_5401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X1) = host(sK6) )
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK6)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X1) != host(X2) )
| ( host(X0) != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2590,c_2613]) ).
tcf(c_5495,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X1) = iPr_def_18 )
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),iPr_def_24)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X1) != host(X2) )
| ( host(X0) != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5401,c_2590,c_2596]) ).
tcf(c_5496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X1) = iPr_def_18 )
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),iPr_def_24)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X1) != host(X2) )
| ( host(X0) != iPr_def_18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5495,c_2626]) ).
tcf(c_5517,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X1) = iPr_def_18 )
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),iPr_def_24)
| ~ setIn(host(X0),index(down,host(X1)))
| ( host(X1) != host(X2) )
| ( host(X0) != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5400,c_2590,c_2596]) ).
tcf(c_5518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X1) = iPr_def_18 )
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),iPr_def_24)
| ~ setIn(host(X0),index(down,host(X1)))
| ( host(X1) != host(X2) )
| ( host(X0) != iPr_def_18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5517,c_2626]) ).
tcf(c_5747,plain,
host(sK4) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_2592,c_5166]) ).
tcf(c_5944,plain,
( leq(iPr_def_19,iPr_def_18)
| setIn(iPr_def_18,iPr_def_13)
| ( iPr_def_12 = iPr_def_18 )
| ( iPr_def_11 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5378,c_5248]) ).
tcf(c_6007,plain,
elem(iPr_def_14,iPr_def_15),
inference(superposition,[status(thm)],[c_2587,c_95]) ).
tcf(c_6774,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = iPr_def_18 )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),iPr_def_24)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != iPr_def_18 )
| ( host(X0) != iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2591,c_5496]) ).
tcf(c_6776,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = iPr_def_18 )
| ~ elem(iPr_def_23,iPr_def_24)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != iPr_def_18 )
| ( host(X0) != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6774,c_2595]) ).
tcf(c_6777,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = iPr_def_18 )
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != iPr_def_18 )
| ( host(X0) != iPr_def_19 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6776,c_2625]) ).
tcf(c_6893,plain,
! [X0: $i] :
( ( host(sK4) = iPr_def_18 )
| ~ setIn(sK4,alive)
| ~ elem(m_Down(X0),queue(host(sK4)))
| ( host(X0) != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5747,c_6777]) ).
tcf(c_6908,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_19 )
| ~ setIn(sK4,alive)
| ~ elem(m_Down(X0),iPr_def_15)
| ( host(X0) != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6893,c_5370,c_5747]) ).
tcf(c_6909,plain,
! [X0: $i] :
( ~ elem(m_Down(X0),iPr_def_15)
| ( host(X0) != iPr_def_18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6908,c_5181,c_2622]) ).
tcf(c_6933,plain,
( ~ elem(m_Down(sK5),iPr_def_15)
| ( iPr_def_11 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2583,c_6909]) ).
tcf(c_6934,plain,
( ~ elem(m_Down(sK8),iPr_def_15)
| ( iPr_def_12 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2584,c_6909]) ).
tcf(c_6937,plain,
( ~ elem(iPr_def_22,iPr_def_15)
| ( iPr_def_12 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6934,c_2594]) ).
tcf(c_6940,plain,
( ~ elem(iPr_def_14,iPr_def_15)
| ( iPr_def_11 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6933,c_2586]) ).
tcf(c_6941,plain,
iPr_def_11 != iPr_def_18,
inference(forward_subsumption_resolution,[status(thm)],[c_6940,c_6007]) ).
tcf(c_7045,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = iPr_def_18 )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),iPr_def_24)
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X1) != iPr_def_18 )
| ( host(X0) != iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2591,c_5518]) ).
tcf(c_7052,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = iPr_def_18 )
| ~ elem(iPr_def_23,iPr_def_24)
| ~ setIn(X0,alive)
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X1) != iPr_def_18 )
| ( host(X0) != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_7045,c_2595]) ).
tcf(c_7053,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = iPr_def_18 )
| ~ setIn(X0,alive)
| ~ setIn(host(X1),index(down,host(X0)))
| ( host(X1) != iPr_def_18 )
| ( host(X0) != iPr_def_19 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7052,c_2625]) ).
tcf(c_7208,plain,
! [X0: $i] :
( ( host(sK4) = iPr_def_18 )
| ~ setIn(sK4,alive)
| ~ setIn(host(X0),index(down,host(sK4)))
| ( host(X0) != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5747,c_7053]) ).
tcf(c_7223,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_19 )
| ~ setIn(sK4,alive)
| ~ setIn(host(X0),iPr_def_13)
| ( host(X0) != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_7208,c_5224,c_5747]) ).
tcf(c_7224,plain,
! [X0: $i] :
( ~ setIn(host(X0),iPr_def_13)
| ( host(X0) != iPr_def_18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7223,c_5181,c_2622]) ).
tcf(c_7246,plain,
~ setIn(host(sK6),iPr_def_13),
inference(superposition,[status(thm)],[c_2590,c_7224]) ).
tcf(c_7252,plain,
~ setIn(iPr_def_18,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_7246,c_2590]) ).
tcf(c_7818,plain,
! [X0: $i] :
( elem(X0,iPr_def_15)
| ~ elem(X0,sK3) ),
inference(superposition,[status(thm)],[c_2587,c_96]) ).
tcf(c_8212,plain,
elem(iPr_def_22,iPr_def_15),
inference(superposition,[status(thm)],[c_2624,c_7818]) ).
tcf(c_9990,plain,
( ( iPr_def_18 = iPr_def_19 )
| ~ leq(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_5394,c_131]) ).
tcf(c_10009,plain,
~ leq(iPr_def_19,iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_9990,c_5181]) ).
tcf(c_10053,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10009,c_8212,c_7252,c_6937,c_6941,c_5944]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV474+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 19:55:57 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 6.00/1.74 % SZS status Started for theBenchmark.p
% 6.00/1.74 % SZS status Theorem for theBenchmark.p
% 6.00/1.74
% 6.00/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.00/1.74
% 6.00/1.74 % ------ iProver source info
% 6.00/1.74
% 6.00/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 6.00/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.00/1.74 % git: non_committed_changes: false
% 6.00/1.74
% 6.00/1.74 % ------ Parsing...
% 6.00/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.00/1.74
% 6.00/1.74 % ------ Preprocessing... sup_sim: 15 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 6.00/1.74
% 6.00/1.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.00/1.74
% 6.00/1.74 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.00/1.74 % ------ Proving...
% 6.00/1.74 % ------ Problem Properties
% 6.00/1.74
% 6.00/1.74 %
% 6.00/1.74 % clauses 131
% 6.00/1.74 % conjectures 19
% 6.00/1.74 % EPR 30
% 6.00/1.74 % Horn 115
% 6.00/1.74 % unary 75
% 6.00/1.74 % binary 25
% 6.00/1.74 % lits 258
% 6.00/1.74 % lits eq 121
% 6.00/1.74 % fd_pure 0
% 6.00/1.74 % fd_pseudo 0
% 6.00/1.74 % fd_cond 1
% 6.00/1.74 % fd_pseudo_cond 12
% 6.00/1.74 % AC symbols 0
% 6.00/1.74
% 6.00/1.74 % ------ Schedule dynamic 5 is on
% 6.00/1.74
% 6.00/1.74 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.00/1.74
% 6.00/1.74
% 6.00/1.74 % ------
% 6.00/1.74 % Current options:
% 6.00/1.74 % ------
% 6.00/1.74
% 6.00/1.74
% 6.00/1.74 %
% 6.00/1.74
% 6.00/1.74 % ------ Proving...
% 6.00/1.74 %
% 6.00/1.74
% 6.00/1.74 % SZS status Theorem for theBenchmark.p
% 6.00/1.74
% 6.00/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.00/1.74
% 6.00/1.74
%------------------------------------------------------------------------------