%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV458+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 : n013.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 03:22:13 PM UTC 2026
% Result : Theorem 3.82s 11.22s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of formulae : 91 ( 27 unt; 0 def)
% Number of atoms : 952 ( 406 equ)
% Maximal formula atoms : 98 ( 10 avg)
% Number of connectives : 1384 ( 523 ~; 421 |; 353 &)
% ( 3 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 7 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 18 con; 0-2 aty)
% Number of variables : 400 ( 2 sgn 379 !; 21 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
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(f60,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_59) ).
fof(f61,axiom,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_60) ).
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(f65,axiom,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| X0 = s(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_1
& elem(m_Down(X6),queue(host(X5)))
& ~ leq(host(X5),host(X4))
& ! [X7] :
( ( leq(s(zero),X7)
& ~ leq(host(X5),X7) )
=> ( X7 = host(X6)
| setIn(X7,index(down,host(X5))) ) ) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& elem(m_Halt(X5),queue(host(X6)))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X5,alive)
& setIn(X4,alive) )
=> X5 = X4 )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( host(X6) = host(X4)
& elem(m_Ack(X5,X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( host(X6) = host(X4)
& elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [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) = host(X4)
& leq(X5,X4)
& ~ setIn(X4,alive) )
=> ~ setIn(X5,alive) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> ~ setIn(X5,alive) )
& ! [X4] : leq(index(pendack,host(X4)),nbr_proc) )
=> ( 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))) ) ) )
=> ( ~ 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)
=> ( ( elem(m_Halt(X9),snoc(queue(host(X8)),m_Halt(X2)))
& setIn(X9,alive)
& ~ leq(s(host(X2)),host(X4)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = 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,X6,X5] :
( ( index(status,host(X5)) = elec_1
& elem(m_Down(X6),queue(host(X5)))
& ~ leq(host(X5),host(X4))
& ! [X7] :
( ( leq(s(zero),X7)
& ~ leq(host(X5),X7) )
=> ( X7 = host(X6)
| setIn(X7,index(down,host(X5))) ) ) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& elem(m_Halt(X5),queue(host(X6)))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X5,alive)
& setIn(X4,alive) )
=> X5 = X4 )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( host(X6) = host(X4)
& elem(m_Ack(X5,X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( host(X6) = host(X4)
& elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [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) = host(X4)
& leq(X5,X4)
& ~ setIn(X4,alive) )
=> ~ setIn(X5,alive) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> ~ setIn(X5,alive) )
& ! [X4] : leq(index(pendack,host(X4)),nbr_proc) )
=> ( 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))) ) ) )
=> ( ~ 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)
=> ( ( elem(m_Halt(X9),snoc(queue(host(X8)),m_Halt(X2)))
& setIn(X9,alive)
& ~ leq(s(host(X2)),host(X4)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = 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)
& ! [X36,X37,X38] :
( ( elec_1 = index(status,host(X38))
& elem(m_Down(X37),queue(host(X38)))
& ~ leq(host(X38),host(X36))
& ! [X39] :
( ( leq(s(zero),X39)
& ~ leq(host(X38),X39) )
=> ( host(X37) = X39
| setIn(X39,index(down,host(X38))) ) ) )
=> ~ ( norm = index(status,host(X36))
& host(X36) = index(ldr,host(X36))
& setIn(X36,alive) ) )
& ! [X33,X34,X35] :
( ( elec_2 = index(status,host(X35))
& elem(m_Halt(X35),queue(host(X34)))
& setIn(X35,alive)
& ~ leq(index(pendack,host(X35)),host(X33)) )
=> ~ ( norm = index(status,host(X33))
& host(X33) = index(ldr,host(X33))
& setIn(X33,alive) ) )
& ! [X31,X32] :
( ( elec_2 = index(status,host(X32))
& elec_2 = index(status,host(X31))
& setIn(X32,alive)
& setIn(X31,alive)
& ~ leq(host(X31),host(X32)) )
=> ~ leq(index(pendack,host(X31)),index(pendack,host(X32))) )
& ! [X29,X30] :
( ( host(X30) = index(ldr,host(X30))
& norm = index(status,host(X30))
& norm = index(status,host(X29))
& host(X29) = index(ldr,host(X29))
& setIn(X30,alive)
& setIn(X29,alive) )
=> X29 = X30 )
& ! [X27,X28] :
( ( elec_2 = index(status,host(X28))
& setIn(X28,alive)
& ~ leq(index(pendack,host(X28)),host(X27)) )
=> ~ ( norm = index(status,host(X27))
& host(X27) = index(ldr,host(X27))
& setIn(X27,alive) ) )
& ! [X24,X25,X26] :
( ( host(X24) = host(X25)
& elem(m_Ack(X26,X25),queue(host(X26)))
& setIn(X26,alive) )
=> ~ ( norm = index(status,host(X24))
& host(X24) = index(ldr,host(X24))
& setIn(X24,alive) ) )
& ! [X22,X23] :
( ( elec_2 = index(status,host(X23))
& elec_2 = index(status,host(X22))
& setIn(X23,alive)
& setIn(X22,alive)
& ~ leq(host(X22),host(X23)) )
=> leq(index(pendack,host(X23)),host(X22)) )
& ! [X19,X20,X21] :
( ( host(X19) = host(X20)
& elem(m_Down(X20),queue(host(X21)))
& setIn(X21,alive) )
=> ~ ( norm = index(status,host(X19))
& host(X19) = index(ldr,host(X19))
& setIn(X19,alive) ) )
& ! [X18] :
( ( setIn(X18,alive)
& ( elec_2 = index(status,host(X18))
| elec_1 = index(status,host(X18)) ) )
=> index(elid,host(X18)) = X18 )
& ! [X16,X17] :
( ( host(X16) = host(X17)
& X16 != X17 )
=> ( ~ setIn(X17,alive)
| ~ setIn(X16,alive) ) )
& ! [X14,X15] :
( ( host(X14) = host(X15)
& leq(X15,X14)
& ~ setIn(X14,alive) )
=> ~ setIn(X15,alive) )
& ! [X11,X12,X13] :
( elem(m_Ack(X13,X11),queue(host(X12)))
=> ~ leq(host(X11),host(X13)) )
& ! [X9,X10] :
( elem(m_Halt(X10),queue(host(X9)))
=> ~ leq(host(X9),host(X10)) )
& ! [X7,X8] :
( elem(m_Ldr(X8),queue(host(X7)))
=> ~ leq(host(X7),host(X8)) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> ~ setIn(X6,alive) )
& ! [X4] : leq(index(pendack,host(X4)),nbr_proc) )
=> ( 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
& ! [X40] :
( ( leq(s(zero),X40)
& ~ leq(host(X2),X40) )
=> ( host(X3) = X40
| setIn(X40,index(down,host(X2))) ) ) )
=> ( ~ 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)
=> ( ( elem(m_Halt(X43),snoc(queue(host(X42)),m_Halt(X2)))
& setIn(X43,alive)
& ~ leq(s(host(X2)),host(X41)) )
=> ~ ( norm = index(status,host(X41))
& host(X41) = index(ldr,host(X41))
& setIn(X41,alive) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
? [X0,X2,X3] :
( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X36,X37,X38] :
( elec_1 != index(status,host(X38))
| ~ elem(m_Down(X37),queue(host(X38)))
| leq(host(X38),host(X36))
| ? [X39] :
( leq(s(zero),X39)
& ~ leq(host(X38),X39)
& host(X37) != X39
& ~ setIn(X39,index(down,host(X38))) )
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X36,alive) )
& ! [X33,X34,X35] :
( elec_2 != index(status,host(X35))
| ~ elem(m_Halt(X35),queue(host(X34)))
| ~ setIn(X35,alive)
| leq(index(pendack,host(X35)),host(X33))
| norm != index(status,host(X33))
| host(X33) != index(ldr,host(X33))
| ~ setIn(X33,alive) )
& ! [X31,X32] :
( elec_2 != index(status,host(X32))
| elec_2 != index(status,host(X31))
| ~ setIn(X32,alive)
| ~ setIn(X31,alive)
| leq(host(X31),host(X32))
| ~ leq(index(pendack,host(X31)),index(pendack,host(X32))) )
& ! [X29,X30] :
( host(X30) != index(ldr,host(X30))
| norm != index(status,host(X30))
| norm != index(status,host(X29))
| host(X29) != index(ldr,host(X29))
| ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| X29 = X30 )
& ! [X27,X28] :
( elec_2 != index(status,host(X28))
| ~ setIn(X28,alive)
| leq(index(pendack,host(X28)),host(X27))
| norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive) )
& ! [X24,X25,X26] :
( host(X24) != host(X25)
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive)
| norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive) )
& ! [X22,X23] :
( elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X22))
| ~ setIn(X23,alive)
| ~ setIn(X22,alive)
| leq(host(X22),host(X23))
| leq(index(pendack,host(X23)),host(X22)) )
& ! [X19,X20,X21] :
( host(X19) != host(X20)
| ~ elem(m_Down(X20),queue(host(X21)))
| ~ setIn(X21,alive)
| norm != index(status,host(X19))
| host(X19) != index(ldr,host(X19))
| ~ setIn(X19,alive) )
& ! [X18] :
( ~ setIn(X18,alive)
| ( elec_2 != index(status,host(X18))
& elec_1 != index(status,host(X18)) )
| index(elid,host(X18)) = X18 )
& ! [X16,X17] :
( host(X16) != host(X17)
| X16 = X17
| ~ setIn(X17,alive)
| ~ setIn(X16,alive) )
& ! [X14,X15] :
( host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive)
| ~ setIn(X15,alive) )
& ! [X11,X12,X13] :
( ~ elem(m_Ack(X13,X11),queue(host(X12)))
| ~ leq(host(X11),host(X13)) )
& ! [X9,X10] :
( ~ elem(m_Halt(X10),queue(host(X9)))
| ~ leq(host(X9),host(X10)) )
& ! [X7,X8] :
( ~ elem(m_Ldr(X8),queue(host(X7)))
| ~ leq(host(X7),host(X8)) )
& ! [X5,X6] :
( ~ elem(m_Down(X6),queue(host(X5)))
| ~ setIn(X6,alive) )
& ! [X4] : leq(index(pendack,host(X4)),nbr_proc)
& 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)) )
& index(status,host(X2)) = elec_1
& ! [X40] :
( ~ leq(s(zero),X40)
| leq(host(X2),X40)
| host(X3) = X40
| setIn(X40,index(down,host(X2))) )
& ~ 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)
& elem(m_Halt(X43),snoc(queue(host(X42)),m_Halt(X2)))
& setIn(X43,alive)
& ~ leq(s(host(X2)),host(X41))
& norm = index(status,host(X41))
& host(X41) = index(ldr,host(X41))
& setIn(X41,alive) ) ) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f71,plain,
? [X0,X2,X3] :
( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X36,X37,X38] :
( elec_1 != index(status,host(X38))
| ~ elem(m_Down(X37),queue(host(X38)))
| leq(host(X38),host(X36))
| ? [X39] :
( leq(s(zero),X39)
& ~ leq(host(X38),X39)
& host(X37) != X39
& ~ setIn(X39,index(down,host(X38))) )
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X36,alive) )
& ! [X33,X34,X35] :
( elec_2 != index(status,host(X35))
| ~ elem(m_Halt(X35),queue(host(X34)))
| ~ setIn(X35,alive)
| leq(index(pendack,host(X35)),host(X33))
| norm != index(status,host(X33))
| host(X33) != index(ldr,host(X33))
| ~ setIn(X33,alive) )
& ! [X31,X32] :
( elec_2 != index(status,host(X32))
| elec_2 != index(status,host(X31))
| ~ setIn(X32,alive)
| ~ setIn(X31,alive)
| leq(host(X31),host(X32))
| ~ leq(index(pendack,host(X31)),index(pendack,host(X32))) )
& ! [X29,X30] :
( host(X30) != index(ldr,host(X30))
| norm != index(status,host(X30))
| norm != index(status,host(X29))
| host(X29) != index(ldr,host(X29))
| ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| X29 = X30 )
& ! [X27,X28] :
( elec_2 != index(status,host(X28))
| ~ setIn(X28,alive)
| leq(index(pendack,host(X28)),host(X27))
| norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive) )
& ! [X24,X25,X26] :
( host(X24) != host(X25)
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive)
| norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive) )
& ! [X22,X23] :
( elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X22))
| ~ setIn(X23,alive)
| ~ setIn(X22,alive)
| leq(host(X22),host(X23))
| leq(index(pendack,host(X23)),host(X22)) )
& ! [X19,X20,X21] :
( host(X19) != host(X20)
| ~ elem(m_Down(X20),queue(host(X21)))
| ~ setIn(X21,alive)
| norm != index(status,host(X19))
| host(X19) != index(ldr,host(X19))
| ~ setIn(X19,alive) )
& ! [X18] :
( ~ setIn(X18,alive)
| ( elec_2 != index(status,host(X18))
& elec_1 != index(status,host(X18)) )
| index(elid,host(X18)) = X18 )
& ! [X16,X17] :
( host(X16) != host(X17)
| X16 = X17
| ~ setIn(X17,alive)
| ~ setIn(X16,alive) )
& ! [X14,X15] :
( host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive)
| ~ setIn(X15,alive) )
& ! [X11,X12,X13] :
( ~ elem(m_Ack(X13,X11),queue(host(X12)))
| ~ leq(host(X11),host(X13)) )
& ! [X9,X10] :
( ~ elem(m_Halt(X10),queue(host(X9)))
| ~ leq(host(X9),host(X10)) )
& ! [X7,X8] :
( ~ elem(m_Ldr(X8),queue(host(X7)))
| ~ leq(host(X7),host(X8)) )
& ! [X5,X6] :
( ~ elem(m_Down(X6),queue(host(X5)))
| ~ setIn(X6,alive) )
& ! [X4] : leq(index(pendack,host(X4)),nbr_proc)
& 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)) )
& index(status,host(X2)) = elec_1
& ! [X40] :
( ~ leq(s(zero),X40)
| leq(host(X2),X40)
| host(X3) = X40
| setIn(X40,index(down,host(X2))) )
& ~ 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)
& elem(m_Halt(X43),snoc(queue(host(X42)),m_Halt(X2)))
& setIn(X43,alive)
& ~ leq(s(host(X2)),host(X41))
& norm = index(status,host(X41))
& host(X41) = index(ldr,host(X41))
& setIn(X41,alive) ) ) ) ),
inference(flattening,[],[f70]) ).
fof(f82,plain,
? [X0,X1,X2] :
( queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X39,X40,X41] :
( elec_1 != index(status,host(X41))
| ~ elem(m_Down(X40),queue(host(X41)))
| leq(host(X41),host(X39))
| ? [X42] :
( leq(s(zero),X42)
& ~ leq(host(X41),X42)
& host(X40) != X42
& ~ setIn(X42,index(down,host(X41))) )
| norm != index(status,host(X39))
| host(X39) != index(ldr,host(X39))
| ~ setIn(X39,alive) )
& ! [X36,X37,X38] :
( elec_2 != index(status,host(X38))
| ~ elem(m_Halt(X38),queue(host(X37)))
| ~ setIn(X38,alive)
| leq(index(pendack,host(X38)),host(X36))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X36,alive) )
& ! [X34,X35] :
( elec_2 != index(status,host(X35))
| elec_2 != index(status,host(X34))
| ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| leq(host(X34),host(X35))
| ~ leq(index(pendack,host(X34)),index(pendack,host(X35))) )
& ! [X32,X33] :
( host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| norm != index(status,host(X32))
| host(X32) != index(ldr,host(X32))
| ~ setIn(X33,alive)
| ~ setIn(X32,alive)
| X32 = X33 )
& ! [X30,X31] :
( elec_2 != index(status,host(X31))
| ~ setIn(X31,alive)
| leq(index(pendack,host(X31)),host(X30))
| norm != index(status,host(X30))
| host(X30) != index(ldr,host(X30))
| ~ setIn(X30,alive) )
& ! [X27,X28,X29] :
( host(X28) != host(X27)
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| ~ setIn(X29,alive)
| norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive) )
& ! [X25,X26] :
( elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X25))
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26))
| leq(index(pendack,host(X26)),host(X25)) )
& ! [X22,X23,X24] :
( host(X22) != host(X23)
| ~ elem(m_Down(X23),queue(host(X24)))
| ~ setIn(X24,alive)
| norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22))
| ~ setIn(X22,alive) )
& ! [X21] :
( ~ setIn(X21,alive)
| ( elec_2 != index(status,host(X21))
& elec_1 != index(status,host(X21)) )
| index(elid,host(X21)) = X21 )
& ! [X19,X20] :
( host(X19) != host(X20)
| X19 = X20
| ~ setIn(X20,alive)
| ~ setIn(X19,alive) )
& ! [X17,X18] :
( host(X17) != host(X18)
| ~ leq(X18,X17)
| setIn(X17,alive)
| ~ setIn(X18,alive) )
& ! [X14,X15,X16] :
( ~ elem(m_Ack(X16,X14),queue(host(X15)))
| ~ leq(host(X14),host(X16)) )
& ! [X12,X13] :
( ~ elem(m_Halt(X13),queue(host(X12)))
| ~ leq(host(X12),host(X13)) )
& ! [X10,X11] :
( ~ elem(m_Ldr(X11),queue(host(X10)))
| ~ leq(host(X10),host(X11)) )
& ! [X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X9,alive) )
& ! [X7] : leq(index(pendack,host(X7)),nbr_proc)
& 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))
& ! [X6] :
( ~ leq(s(zero),X6)
| leq(host(X1),X6)
| host(X2) = X6
| setIn(X6,index(down,host(X1))) )
& ~ leq(nbr_proc,host(X1))
& ? [X3] :
( host(X1) != host(X3)
& ? [X4] :
( host(X4) = s(host(X1))
& host(X1) != host(X4)
& ? [X5] :
( host(X1) = host(X5)
& elem(m_Halt(X5),snoc(queue(host(X4)),m_Halt(X1)))
& setIn(X5,alive)
& ~ leq(s(host(X1)),host(X3))
& norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive) ) ) ) ),
inference(rectify,[],[f71]) ).
fof(f83,plain,
( queue(host(sK1)) = cons(m_Down(sK2),sK0)
& ! [X39,X40,X41] :
( elec_1 != index(status,host(X41))
| ~ elem(m_Down(X40),queue(host(X41)))
| leq(host(X41),host(X39))
| ( leq(s(zero),sK6(X40,X41))
& ~ leq(host(X41),sK6(X40,X41))
& host(X40) != sK6(X40,X41)
& ~ setIn(sK6(X40,X41),index(down,host(X41))) )
| norm != index(status,host(X39))
| host(X39) != index(ldr,host(X39))
| ~ setIn(X39,alive) )
& ! [X36,X37,X38] :
( elec_2 != index(status,host(X38))
| ~ elem(m_Halt(X38),queue(host(X37)))
| ~ setIn(X38,alive)
| leq(index(pendack,host(X38)),host(X36))
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X36,alive) )
& ! [X34,X35] :
( elec_2 != index(status,host(X35))
| elec_2 != index(status,host(X34))
| ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| leq(host(X34),host(X35))
| ~ leq(index(pendack,host(X34)),index(pendack,host(X35))) )
& ! [X32,X33] :
( host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| norm != index(status,host(X32))
| host(X32) != index(ldr,host(X32))
| ~ setIn(X33,alive)
| ~ setIn(X32,alive)
| X32 = X33 )
& ! [X30,X31] :
( elec_2 != index(status,host(X31))
| ~ setIn(X31,alive)
| leq(index(pendack,host(X31)),host(X30))
| norm != index(status,host(X30))
| host(X30) != index(ldr,host(X30))
| ~ setIn(X30,alive) )
& ! [X27,X28,X29] :
( host(X28) != host(X27)
| ~ elem(m_Ack(X29,X28),queue(host(X29)))
| ~ setIn(X29,alive)
| norm != index(status,host(X27))
| host(X27) != index(ldr,host(X27))
| ~ setIn(X27,alive) )
& ! [X25,X26] :
( elec_2 != index(status,host(X26))
| elec_2 != index(status,host(X25))
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26))
| leq(index(pendack,host(X26)),host(X25)) )
& ! [X22,X23,X24] :
( host(X22) != host(X23)
| ~ elem(m_Down(X23),queue(host(X24)))
| ~ setIn(X24,alive)
| norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22))
| ~ setIn(X22,alive) )
& ! [X21] :
( ~ setIn(X21,alive)
| ( elec_2 != index(status,host(X21))
& elec_1 != index(status,host(X21)) )
| index(elid,host(X21)) = X21 )
& ! [X19,X20] :
( host(X19) != host(X20)
| X19 = X20
| ~ setIn(X20,alive)
| ~ setIn(X19,alive) )
& ! [X17,X18] :
( host(X17) != host(X18)
| ~ leq(X18,X17)
| setIn(X17,alive)
| ~ setIn(X18,alive) )
& ! [X14,X15,X16] :
( ~ elem(m_Ack(X16,X14),queue(host(X15)))
| ~ leq(host(X14),host(X16)) )
& ! [X12,X13] :
( ~ elem(m_Halt(X13),queue(host(X12)))
| ~ leq(host(X12),host(X13)) )
& ! [X10,X11] :
( ~ elem(m_Ldr(X11),queue(host(X10)))
| ~ leq(host(X10),host(X11)) )
& ! [X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X9,alive) )
& ! [X7] : leq(index(pendack,host(X7)),nbr_proc)
& setIn(sK1,alive)
& ~ leq(host(sK1),host(sK2))
& ( host(sK2) != host(index(elid,host(sK1)))
| wait != index(status,host(sK1)) )
& ( norm != index(status,host(sK1))
| host(sK2) != index(ldr,host(sK1)) )
& elec_1 = index(status,host(sK1))
& ! [X6] :
( ~ leq(s(zero),X6)
| leq(host(sK1),X6)
| host(sK2) = X6
| setIn(X6,index(down,host(sK1))) )
& ~ leq(nbr_proc,host(sK1))
& host(sK3) != host(sK1)
& s(host(sK1)) = host(sK4)
& host(sK1) != host(sK4)
& host(sK1) = host(sK5)
& elem(m_Halt(sK5),snoc(queue(host(sK4)),m_Halt(sK1)))
& setIn(sK5,alive)
& ~ leq(s(host(sK1)),host(sK3))
& norm = index(status,host(sK3))
& host(sK3) = index(ldr,host(sK3))
& setIn(sK3,alive) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X42,sK6(X40,X41))],[f82]) ).
fof(f86,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(f87,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,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ( leq(X1,X0)
& leq(X0,X1) ) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f89,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ( leq(X1,X0)
& leq(X0,X1) ) ) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ( ~ leq(X0,s(X1))
| leq(X0,X1)
| X0 = s(X1) )
& ( ( ~ leq(X0,X1)
& s(X1) != X0 )
| leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f91,plain,
! [X0,X1] :
( ( ~ leq(X0,s(X1))
| leq(X0,X1)
| X0 = s(X1) )
& ( ( ~ leq(X0,X1)
& s(X1) != X0 )
| leq(X0,s(X1)) ) ),
inference(flattening,[],[f90]) ).
fof(f98,plain,
queue(host(sK1)) = cons(m_Down(sK2),sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f99,plain,
! [X40,X41,X39] :
( elec_1 != index(status,host(X41))
| ~ elem(m_Down(X40),queue(host(X41)))
| leq(host(X41),host(X39))
| leq(s(zero),sK6(X40,X41))
| norm != index(status,host(X39))
| host(X39) != index(ldr,host(X39))
| ~ setIn(X39,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f100,plain,
! [X40,X41,X39] :
( elec_1 != index(status,host(X41))
| ~ elem(m_Down(X40),queue(host(X41)))
| leq(host(X41),host(X39))
| ~ leq(host(X41),sK6(X40,X41))
| norm != index(status,host(X39))
| host(X39) != index(ldr,host(X39))
| ~ setIn(X39,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f101,plain,
! [X40,X41,X39] :
( elec_1 != index(status,host(X41))
| ~ elem(m_Down(X40),queue(host(X41)))
| leq(host(X41),host(X39))
| host(X40) != sK6(X40,X41)
| norm != index(status,host(X39))
| host(X39) != index(ldr,host(X39))
| ~ setIn(X39,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f102,plain,
! [X40,X41,X39] :
( elec_1 != index(status,host(X41))
| ~ elem(m_Down(X40),queue(host(X41)))
| leq(host(X41),host(X39))
| ~ setIn(sK6(X40,X41),index(down,host(X41)))
| norm != index(status,host(X39))
| host(X39) != index(ldr,host(X39))
| ~ setIn(X39,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f123,plain,
elec_1 = index(status,host(sK1)),
inference(cnf_transformation,[],[f83]) ).
fof(f124,plain,
! [X6] :
( ~ leq(s(zero),X6)
| leq(host(sK1),X6)
| host(sK2) = X6
| setIn(X6,index(down,host(sK1))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f126,plain,
host(sK3) != host(sK1),
inference(cnf_transformation,[],[f83]) ).
fof(f127,plain,
s(host(sK1)) = host(sK4),
inference(cnf_transformation,[],[f83]) ).
fof(f132,plain,
~ leq(s(host(sK1)),host(sK3)),
inference(cnf_transformation,[],[f83]) ).
fof(f133,plain,
norm = index(status,host(sK3)),
inference(cnf_transformation,[],[f83]) ).
fof(f134,plain,
host(sK3) = index(ldr,host(sK3)),
inference(cnf_transformation,[],[f83]) ).
fof(f135,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f83]) ).
fof(f148,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f153,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f156,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f157,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f60]) ).
fof(f158,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,X1)
| s(X1) = X0 ),
inference(cnf_transformation,[],[f91]) ).
fof(f204,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f148]) ).
tcf(c_49,negated_conjecture,
setIn(sK3,alive),
inference(cnf_transformation,[],[f135]) ).
tcf(c_50,negated_conjecture,
index(ldr,host(sK3)) = host(sK3),
inference(cnf_transformation,[],[f134]) ).
tcf(c_51,negated_conjecture,
index(status,host(sK3)) = norm,
inference(cnf_transformation,[],[f133]) ).
tcf(c_52,negated_conjecture,
~ leq(s(host(sK1)),host(sK3)),
inference(cnf_transformation,[],[f132]) ).
tcf(c_57,negated_conjecture,
s(host(sK1)) = host(sK4),
inference(cnf_transformation,[],[f127]) ).
tcf(c_58,negated_conjecture,
host(sK3) != host(sK1),
inference(cnf_transformation,[],[f126]) ).
tcf(c_60,negated_conjecture,
! [X0: $i] :
( leq(host(sK1),X0)
| setIn(X0,index(down,host(sK1)))
| ( host(sK2) = X0 )
| ~ leq(s(zero),X0) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_61,negated_conjecture,
index(status,host(sK1)) = elec_1,
inference(cnf_transformation,[],[f123]) ).
tcf(c_82,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X1),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(host(X1)))
| ~ setIn(sK6(X2,X1),index(down,host(X1)))
| ( index(status,host(X1)) != elec_1 )
| ( index(status,host(X0)) != norm )
| ( index(ldr,host(X0)) != host(X0) ) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_83,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X2),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X2)))
| ( sK6(X1,X2) != host(X1) )
| ( index(status,host(X2)) != elec_1 )
| ( index(status,host(X0)) != norm )
| ( index(ldr,host(X0)) != host(X0) ) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_84,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X1),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(host(X1)))
| ~ leq(host(X1),sK6(X2,X1))
| ( index(status,host(X1)) != elec_1 )
| ( index(status,host(X0)) != norm )
| ( index(ldr,host(X0)) != host(X0) ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_85,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( leq(host(X1),host(X0))
| leq(s(zero),sK6(X2,X1))
| ~ setIn(X0,alive)
| ~ elem(m_Down(X2),queue(host(X1)))
| ( index(status,host(X1)) != elec_1 )
| ( index(status,host(X0)) != norm )
| ( index(ldr,host(X0)) != host(X0) ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_86,negated_conjecture,
cons(m_Down(sK2),sK0) = queue(host(sK1)),
inference(cnf_transformation,[],[f98]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] : elem(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f204]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_107,plain,
! [X0: $i] : leq(X0,X0),
inference(cnf_transformation,[],[f157]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( s(X1) = X0 )
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_818,plain,
~ leq(host(sK4),host(sK3)),
inference(light_normalisation,[status(thm)],[c_52,c_57]) ).
tcf(c_3421,plain,
elem(m_Down(sK2),queue(host(sK1))),
inference(superposition,[status(thm)],[c_86,c_97]) ).
tcf(c_3530,plain,
leq(host(sK3),host(sK4)),
inference(superposition,[status(thm)],[c_106,c_818]) ).
tcf(c_3667,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(sK3))
| leq(s(zero),sK6(X1,X0))
| ~ setIn(sK3,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( index(status,host(sK3)) != norm )
| ( index(status,host(X0)) != elec_1 ) ),
inference(superposition,[status(thm)],[c_50,c_85]) ).
tcf(c_3669,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(sK3))
| leq(s(zero),sK6(X1,X0))
| ~ setIn(sK3,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( index(status,host(X0)) != elec_1 ) ),
inference(ground_joinability,[status(thm)],[c_3667,c_51]) ).
tcf(c_3670,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(sK3))
| leq(s(zero),sK6(X1,X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( index(status,host(X0)) != elec_1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3669,c_49]) ).
tcf(c_3691,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(sK3))
| ~ setIn(sK3,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ leq(host(X0),sK6(X1,X0))
| ( index(status,host(sK3)) != norm )
| ( index(status,host(X0)) != elec_1 ) ),
inference(superposition,[status(thm)],[c_50,c_84]) ).
tcf(c_3693,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(sK3))
| ~ setIn(sK3,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ leq(host(X0),sK6(X1,X0))
| ( index(status,host(X0)) != elec_1 ) ),
inference(ground_joinability,[status(thm)],[c_3691,c_51]) ).
tcf(c_3694,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(sK3))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ leq(host(X0),sK6(X1,X0))
| ( index(status,host(X0)) != elec_1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3693,c_49]) ).
tcf(c_3723,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(sK3))
| ~ setIn(sK3,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( sK6(X1,X0) != host(X1) )
| ( index(status,host(sK3)) != norm )
| ( index(status,host(X0)) != elec_1 ) ),
inference(superposition,[status(thm)],[c_50,c_83]) ).
tcf(c_3724,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(sK3))
| ~ setIn(sK3,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( sK6(X1,X0) != host(X1) )
| ( index(status,host(X0)) != elec_1 ) ),
inference(ground_joinability,[status(thm)],[c_3723,c_51]) ).
tcf(c_3725,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(sK3))
| ~ elem(m_Down(X1),queue(host(X0)))
| ( sK6(X1,X0) != host(X1) )
| ( index(status,host(X0)) != elec_1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3724,c_49]) ).
tcf(c_3745,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(sK3))
| ~ setIn(sK3,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(sK6(X1,X0),index(down,host(X0)))
| ( index(status,host(sK3)) != norm )
| ( index(status,host(X0)) != elec_1 ) ),
inference(superposition,[status(thm)],[c_50,c_82]) ).
tcf(c_3746,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(sK3))
| ~ setIn(sK3,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(sK6(X1,X0),index(down,host(X0)))
| ( index(status,host(X0)) != elec_1 ) ),
inference(ground_joinability,[status(thm)],[c_3745,c_51]) ).
tcf(c_3747,plain,
! [X0: $i,X1: $i] :
( leq(host(X0),host(sK3))
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(sK6(X1,X0),index(down,host(X0)))
| ( index(status,host(X0)) != elec_1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3746,c_49]) ).
tcf(c_3843,plain,
! [X0: $i] :
( leq(host(sK1),host(sK3))
| leq(s(zero),sK6(X0,sK1))
| ~ elem(m_Down(X0),queue(host(sK1))) ),
inference(superposition,[status(thm)],[c_61,c_3670]) ).
tcf(c_3866,plain,
! [X0: $i] :
( leq(host(sK1),host(sK3))
| ~ elem(m_Down(X0),queue(host(sK1)))
| ~ leq(host(sK1),sK6(X0,sK1)) ),
inference(superposition,[status(thm)],[c_61,c_3694]) ).
tcf(c_3908,plain,
! [X0: $i] :
( leq(host(sK1),host(sK3))
| ~ elem(m_Down(X0),queue(host(sK1)))
| ( sK6(X0,sK1) != host(X0) ) ),
inference(superposition,[status(thm)],[c_61,c_3725]) ).
tcf(c_3928,plain,
! [X0: $i] :
( leq(host(sK1),host(sK3))
| ~ elem(m_Down(X0),queue(host(sK1)))
| ~ setIn(sK6(X0,sK1),index(down,host(sK1))) ),
inference(superposition,[status(thm)],[c_61,c_3747]) ).
tcf(c_3939,plain,
! [X0: $i] :
( leq(host(sK1),host(sK3))
| leq(host(sK1),sK6(X0,sK1))
| ( sK6(X0,sK1) = host(sK2) )
| ~ elem(m_Down(X0),queue(host(sK1)))
| ~ leq(s(zero),sK6(X0,sK1)) ),
inference(superposition,[status(thm)],[c_60,c_3928]) ).
tcf(c_3946,plain,
! [X0: $i] :
( leq(host(sK1),host(sK3))
| ~ elem(m_Down(X0),queue(host(sK1)))
| ( sK6(X0,sK1) = host(sK2) ) ),
inference(global_subsumption_just,[status(thm)],[c_3939,c_3843,c_3866,c_3939]) ).
tcf(c_3947,plain,
! [X0: $i] :
( leq(host(sK1),host(sK3))
| ( sK6(X0,sK1) = host(sK2) )
| ~ elem(m_Down(X0),queue(host(sK1))) ),
inference(renaming,[status(thm)],[c_3946]) ).
tcf(c_3955,plain,
( leq(host(sK1),host(sK3))
| ( sK6(sK2,sK1) = host(sK2) ) ),
inference(superposition,[status(thm)],[c_3421,c_3947]) ).
tcf(c_4484,plain,
( ( host(sK3) = host(sK1) )
| ( sK6(sK2,sK1) = host(sK2) )
| ~ leq(host(sK3),host(sK1)) ),
inference(superposition,[status(thm)],[c_3955,c_105]) ).
tcf(c_4547,plain,
( ( sK6(sK2,sK1) = host(sK2) )
| ~ leq(host(sK3),host(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4484,c_58]) ).
tcf(c_4914,plain,
! [X0: $i] :
( leq(X0,host(sK1))
| ( s(host(sK1)) = X0 )
| ~ leq(X0,host(sK4)) ),
inference(superposition,[status(thm)],[c_57,c_110]) ).
tcf(c_4927,plain,
! [X0: $i] :
( leq(X0,host(sK1))
| ( host(sK4) = X0 )
| ~ leq(X0,host(sK4)) ),
inference(light_normalisation,[status(thm)],[c_4914,c_57]) ).
tcf(c_5073,plain,
( leq(host(sK3),host(sK1))
| ( host(sK3) = host(sK4) ) ),
inference(superposition,[status(thm)],[c_3530,c_4927]) ).
tcf(c_5369,plain,
( ( host(sK3) = host(sK4) )
| ( host(sK3) = host(sK1) )
| ~ leq(host(sK1),host(sK3)) ),
inference(superposition,[status(thm)],[c_5073,c_105]) ).
tcf(c_5373,plain,
( ( host(sK3) = host(sK4) )
| ( sK6(sK2,sK1) = host(sK2) ) ),
inference(superposition,[status(thm)],[c_5073,c_4547]) ).
tcf(c_5379,plain,
( ( host(sK3) = host(sK4) )
| ~ leq(host(sK1),host(sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5369,c_58]) ).
tcf(c_5395,plain,
( leq(host(sK1),host(sK3))
| ( host(sK3) = host(sK4) )
| ~ elem(m_Down(sK2),queue(host(sK1))) ),
inference(superposition,[status(thm)],[c_5373,c_3908]) ).
tcf(c_5398,plain,
( leq(host(sK1),host(sK3))
| ( host(sK3) = host(sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5395,c_3421]) ).
tcf(c_5609,plain,
host(sK3) = host(sK4),
inference(global_subsumption_just,[status(thm)],[c_5379,c_5379,c_5398]) ).
tcf(c_5642,plain,
~ leq(host(sK3),host(sK3)),
inference(demodulation,[status(thm)],[c_818,c_5609]) ).
tcf(c_5643,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5642,c_107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV458+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.39 % Computer : n013.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Thu Sep 24 19:48:06 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/10.43 Running first-order theorem proving
% 0.15/10.43 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
% 0.15/10.44
% 0.15/10.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.44
% 0.15/10.44 % Detected problem language: tptp
% 0.15/10.46 % Proving...
% 3.82/11.22 % SZS status Started for theBenchmark.p
% 3.82/11.22 % SZS status Theorem for theBenchmark.p
% 3.82/11.22
% 3.82/11.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.82/11.22
% 3.82/11.22 % ------ iProver source info
% 3.82/11.22
% 3.82/11.22 % git: date: 2026-07-19 20:42:38 +0200
% 3.82/11.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.82/11.22 % git: non_committed_changes: false
% 3.82/11.22
% 3.82/11.22 % ------ Parsing...
% 3.82/11.22 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.82/11.22
% 3.82/11.22 % ------ Preprocessing... sup_sim: 5 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 %
% 3.82/11.22
% 3.82/11.22 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.82/11.22
% 3.82/11.22 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.82/11.22 % ------ Proving...
% 3.82/11.22 % ------ Problem Properties
% 3.82/11.22
% 3.82/11.22 %
% 3.82/11.22 % clauses 92
% 3.82/11.22 % conjectures 34
% 3.82/11.22 % EPR 15
% 3.82/11.22 % Horn 85
% 3.82/11.22 % unary 51
% 3.82/11.22 % binary 20
% 3.82/11.22 % lits 193
% 3.82/11.22 % lits eq 93
% 3.82/11.22 % fd_pure 0
% 3.82/11.22 % fd_pseudo 0
% 3.82/11.22 % fd_cond 1
% 3.82/11.22 % fd_pseudo_cond 13
% 3.82/11.22 % AC symbols 0
% 3.82/11.22
% 3.82/11.22 % ------ Schedule dynamic 5 is on
% 3.82/11.22
% 3.82/11.22 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.82/11.22
% 3.82/11.22
% 3.82/11.22 % ------
% 3.82/11.22 % Current options:
% 3.82/11.22 % ------
% 3.82/11.22
% 3.82/11.22
% 3.82/11.22 %
% 3.82/11.22
% 3.82/11.22 % ------ Proving...
% 3.82/11.22 %
% 3.82/11.22
% 3.82/11.22 % SZS status Theorem for theBenchmark.p
% 3.82/11.22
% 3.82/11.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.82/11.22
% 3.82/11.22
%------------------------------------------------------------------------------