TSTP Solution File: SWV470+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV470+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:17:27 EDT 2024
% Result : Theorem 10.06s 2.21s
% Output : CNFRefutation 10.06s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Down(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f48,axiom,
! [X4,X5,X3] :
( elem(X4,snoc(X3,X5))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(f67,conjecture,
! [X11,X12,X4] :
( ( queue(host(X12)) = cons(m_Halt(X4),X11)
& ! [X5,X6,X14,X13] :
( ( elec_1 = index(status,host(X13))
& nbr_proc = host(X13)
& host(X6) = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) ) )
& ! [X5,X6,X14,X13] :
( ( host(X13) = host(X14)
& host(X5) = host(X6)
& setIn(X14,alive)
& setIn(X5,alive)
& host(X5) != host(X14) )
=> ~ ( setIn(host(X6),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X5))) ) )
& ! [X5,X6,X14,X13] :
( ( host(X13) = host(X14)
& host(X5) = host(X6)
& setIn(X14,alive)
& setIn(X5,alive)
& host(X5) != host(X14) )
=> ~ ( elem(m_Down(X6),queue(host(X14)))
& elem(m_Down(X13),queue(host(X5))) ) )
& ! [X5,X6,X13] :
( ( host(X6) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X5) = host(X13)
& setIn(X13,alive)
& host(X6) != host(X13) )
=> ~ elem(m_Down(X5),queue(host(X6))) )
& ! [X5,X6,X13] :
( ( norm = index(status,host(X13))
& host(X6) = index(ldr,host(X13))
& host(X5) = host(X13)
& setIn(X13,alive)
& host(X6) != host(X13) )
=> ~ elem(m_Down(X5),queue(host(X6))) )
& ! [X5] :
( ( setIn(X5,alive)
& ( elec_2 = index(status,host(X5))
| elec_1 = index(status,host(X5)) ) )
=> index(elid,host(X5)) = X5 )
& ! [X5,X6] :
( ( host(X5) = host(X6)
& X5 != X6 )
=> ( ~ setIn(X6,alive)
| ~ setIn(X5,alive) ) )
& ! [X5,X6] :
( nbr_proc = host(X6)
=> ~ elem(m_NotNorm(X5),queue(host(X6))) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> host(X5) != host(X6) )
& ! [X5,X6] :
( elem(m_Ldr(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) ) )
=> ( setIn(X12,alive)
=> ! [X5] :
( host(X4) = host(X5)
=> ( host(X5) = host(X12)
=> ! [X6,X16,X17] :
( host(X4) != host(X17)
=> ( host(X12) != host(X17)
=> ( ( elec_1 = index(status,host(X17))
& nbr_proc = host(X17)
& host(X6) = host(X17)
& elem(m_Down(X16),queue(host(X17)))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X17),X15) )
=> ( host(X16) = X15
| setIn(X15,index(down,host(X17))) ) ) )
=> ~ ( elem(m_Down(X6),snoc(X11,m_Ack(X4,X12)))
& setIn(X5,alive) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4] :
( ( queue(host(X12)) = cons(m_Halt(X4),X11)
& ! [X5,X6,X14,X13] :
( ( elec_1 = index(status,host(X13))
& nbr_proc = host(X13)
& host(X6) = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) ) )
& ! [X5,X6,X14,X13] :
( ( host(X13) = host(X14)
& host(X5) = host(X6)
& setIn(X14,alive)
& setIn(X5,alive)
& host(X5) != host(X14) )
=> ~ ( setIn(host(X6),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X5))) ) )
& ! [X5,X6,X14,X13] :
( ( host(X13) = host(X14)
& host(X5) = host(X6)
& setIn(X14,alive)
& setIn(X5,alive)
& host(X5) != host(X14) )
=> ~ ( elem(m_Down(X6),queue(host(X14)))
& elem(m_Down(X13),queue(host(X5))) ) )
& ! [X5,X6,X13] :
( ( host(X6) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X5) = host(X13)
& setIn(X13,alive)
& host(X6) != host(X13) )
=> ~ elem(m_Down(X5),queue(host(X6))) )
& ! [X5,X6,X13] :
( ( norm = index(status,host(X13))
& host(X6) = index(ldr,host(X13))
& host(X5) = host(X13)
& setIn(X13,alive)
& host(X6) != host(X13) )
=> ~ elem(m_Down(X5),queue(host(X6))) )
& ! [X5] :
( ( setIn(X5,alive)
& ( elec_2 = index(status,host(X5))
| elec_1 = index(status,host(X5)) ) )
=> index(elid,host(X5)) = X5 )
& ! [X5,X6] :
( ( host(X5) = host(X6)
& X5 != X6 )
=> ( ~ setIn(X6,alive)
| ~ setIn(X5,alive) ) )
& ! [X5,X6] :
( nbr_proc = host(X6)
=> ~ elem(m_NotNorm(X5),queue(host(X6))) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> host(X5) != host(X6) )
& ! [X5,X6] :
( elem(m_Ldr(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) ) )
=> ( setIn(X12,alive)
=> ! [X5] :
( host(X4) = host(X5)
=> ( host(X5) = host(X12)
=> ! [X6,X16,X17] :
( host(X4) != host(X17)
=> ( host(X12) != host(X17)
=> ( ( elec_1 = index(status,host(X17))
& nbr_proc = host(X17)
& host(X6) = host(X17)
& elem(m_Down(X16),queue(host(X17)))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X17),X15) )
=> ( host(X16) = X15
| setIn(X15,index(down,host(X17))) ) ) )
=> ~ ( elem(m_Down(X6),snoc(X11,m_Ack(X4,X12)))
& setIn(X5,alive) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f73,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
inference(rectify,[],[f13]) ).
fof(f105,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
fof(f106,plain,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f48]) ).
fof(f124,plain,
~ ! [X0,X1,X2] :
( ( queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X3,X4,X5,X6] :
( ( elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),queue(host(X6)))
& ! [X7] :
( ( leq(s(zero),X7)
& ~ leq(host(X6),X7) )
=> ( host(X5) = X7
| setIn(X7,index(down,host(X6))) ) ) )
=> ~ ( elem(m_Down(X4),queue(host(X3)))
& setIn(X3,alive) ) )
& ! [X8,X9,X10,X11] :
( ( host(X11) = host(X10)
& host(X8) = host(X9)
& setIn(X10,alive)
& setIn(X8,alive)
& host(X10) != host(X8) )
=> ~ ( setIn(host(X9),index(down,host(X10)))
& elem(m_Down(X11),queue(host(X8))) ) )
& ! [X12,X13,X14,X15] :
( ( host(X14) = host(X15)
& host(X13) = host(X12)
& setIn(X14,alive)
& setIn(X12,alive)
& host(X14) != host(X12) )
=> ~ ( elem(m_Down(X13),queue(host(X14)))
& elem(m_Down(X15),queue(host(X12))) ) )
& ! [X16,X17,X18] :
( ( host(X17) = host(index(elid,host(X18)))
& wait = index(status,host(X18))
& host(X16) = host(X18)
& setIn(X18,alive)
& host(X17) != host(X18) )
=> ~ elem(m_Down(X16),queue(host(X17))) )
& ! [X19,X20,X21] :
( ( norm = index(status,host(X21))
& host(X20) = index(ldr,host(X21))
& host(X21) = host(X19)
& setIn(X21,alive)
& host(X21) != host(X20) )
=> ~ elem(m_Down(X19),queue(host(X20))) )
& ! [X22] :
( ( setIn(X22,alive)
& ( elec_2 = index(status,host(X22))
| elec_1 = index(status,host(X22)) ) )
=> index(elid,host(X22)) = X22 )
& ! [X23,X24] :
( ( host(X23) = host(X24)
& X23 != X24 )
=> ( ~ setIn(X24,alive)
| ~ setIn(X23,alive) ) )
& ! [X25,X26] :
( nbr_proc = host(X26)
=> ~ elem(m_NotNorm(X25),queue(host(X26))) )
& ! [X27,X28] :
( elem(m_Down(X28),queue(host(X27)))
=> host(X27) != host(X28) )
& ! [X29,X30] :
( elem(m_Ldr(X30),queue(host(X29)))
=> ~ leq(host(X29),host(X30)) ) )
=> ( setIn(X1,alive)
=> ! [X31] :
( host(X2) = host(X31)
=> ( host(X1) = host(X31)
=> ! [X32,X33,X34] :
( host(X2) != host(X34)
=> ( host(X1) != host(X34)
=> ( ( elec_1 = index(status,host(X34))
& nbr_proc = host(X34)
& host(X34) = host(X32)
& elem(m_Down(X33),queue(host(X34)))
& ! [X35] :
( ( leq(s(zero),X35)
& ~ leq(host(X34),X35) )
=> ( host(X33) = X35
| setIn(X35,index(down,host(X34))) ) ) )
=> ~ ( elem(m_Down(X32),snoc(X0,m_Ack(X2,X1)))
& setIn(X31,alive) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f140,plain,
? [X0,X1,X2] :
( ? [X31] :
( ? [X32,X33,X34] :
( elem(m_Down(X32),snoc(X0,m_Ack(X2,X1)))
& setIn(X31,alive)
& elec_1 = index(status,host(X34))
& nbr_proc = host(X34)
& host(X34) = host(X32)
& elem(m_Down(X33),queue(host(X34)))
& ! [X35] :
( host(X33) = X35
| setIn(X35,index(down,host(X34)))
| ~ leq(s(zero),X35)
| leq(host(X34),X35) )
& host(X1) != host(X34)
& host(X2) != host(X34) )
& host(X1) = host(X31)
& host(X2) = host(X31) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X3,X4,X5,X6] :
( ~ elem(m_Down(X4),queue(host(X3)))
| ~ setIn(X3,alive)
| elec_1 != index(status,host(X6))
| nbr_proc != host(X6)
| host(X4) != host(X6)
| ~ elem(m_Down(X5),queue(host(X6)))
| ? [X7] :
( host(X5) != X7
& ~ setIn(X7,index(down,host(X6)))
& leq(s(zero),X7)
& ~ leq(host(X6),X7) ) )
& ! [X8,X9,X10,X11] :
( ~ setIn(host(X9),index(down,host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X11) != host(X10)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X10) = host(X8) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X14)))
| ~ elem(m_Down(X15),queue(host(X12)))
| host(X14) != host(X15)
| host(X13) != host(X12)
| ~ setIn(X14,alive)
| ~ setIn(X12,alive)
| host(X14) = host(X12) )
& ! [X16,X17,X18] :
( ~ elem(m_Down(X16),queue(host(X17)))
| host(X17) != host(index(elid,host(X18)))
| wait != index(status,host(X18))
| host(X16) != host(X18)
| ~ setIn(X18,alive)
| host(X17) = host(X18) )
& ! [X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| norm != index(status,host(X21))
| host(X20) != index(ldr,host(X21))
| host(X21) != host(X19)
| ~ setIn(X21,alive)
| host(X21) = host(X20) )
& ! [X22] :
( index(elid,host(X22)) = X22
| ~ setIn(X22,alive)
| ( elec_2 != index(status,host(X22))
& elec_1 != index(status,host(X22)) ) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| host(X23) != host(X24)
| X23 = X24 )
& ! [X25,X26] :
( ~ elem(m_NotNorm(X25),queue(host(X26)))
| nbr_proc != host(X26) )
& ! [X27,X28] :
( host(X27) != host(X28)
| ~ elem(m_Down(X28),queue(host(X27))) )
& ! [X29,X30] :
( ~ leq(host(X29),host(X30))
| ~ elem(m_Ldr(X30),queue(host(X29))) ) ),
inference(ennf_transformation,[],[f124]) ).
fof(f141,plain,
? [X0,X1,X2] :
( ? [X31] :
( ? [X32,X33,X34] :
( elem(m_Down(X32),snoc(X0,m_Ack(X2,X1)))
& setIn(X31,alive)
& elec_1 = index(status,host(X34))
& nbr_proc = host(X34)
& host(X34) = host(X32)
& elem(m_Down(X33),queue(host(X34)))
& ! [X35] :
( host(X33) = X35
| setIn(X35,index(down,host(X34)))
| ~ leq(s(zero),X35)
| leq(host(X34),X35) )
& host(X1) != host(X34)
& host(X2) != host(X34) )
& host(X1) = host(X31)
& host(X2) = host(X31) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X3,X4,X5,X6] :
( ~ elem(m_Down(X4),queue(host(X3)))
| ~ setIn(X3,alive)
| elec_1 != index(status,host(X6))
| nbr_proc != host(X6)
| host(X4) != host(X6)
| ~ elem(m_Down(X5),queue(host(X6)))
| ? [X7] :
( host(X5) != X7
& ~ setIn(X7,index(down,host(X6)))
& leq(s(zero),X7)
& ~ leq(host(X6),X7) ) )
& ! [X8,X9,X10,X11] :
( ~ setIn(host(X9),index(down,host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X11) != host(X10)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X10) = host(X8) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X14)))
| ~ elem(m_Down(X15),queue(host(X12)))
| host(X14) != host(X15)
| host(X13) != host(X12)
| ~ setIn(X14,alive)
| ~ setIn(X12,alive)
| host(X14) = host(X12) )
& ! [X16,X17,X18] :
( ~ elem(m_Down(X16),queue(host(X17)))
| host(X17) != host(index(elid,host(X18)))
| wait != index(status,host(X18))
| host(X16) != host(X18)
| ~ setIn(X18,alive)
| host(X17) = host(X18) )
& ! [X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| norm != index(status,host(X21))
| host(X20) != index(ldr,host(X21))
| host(X21) != host(X19)
| ~ setIn(X21,alive)
| host(X21) = host(X20) )
& ! [X22] :
( index(elid,host(X22)) = X22
| ~ setIn(X22,alive)
| ( elec_2 != index(status,host(X22))
& elec_1 != index(status,host(X22)) ) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| host(X23) != host(X24)
| X23 = X24 )
& ! [X25,X26] :
( ~ elem(m_NotNorm(X25),queue(host(X26)))
| nbr_proc != host(X26) )
& ! [X27,X28] :
( host(X27) != host(X28)
| ~ elem(m_Down(X28),queue(host(X27))) )
& ! [X29,X30] :
( ~ leq(host(X29),host(X30))
| ~ elem(m_Ldr(X30),queue(host(X29))) ) ),
inference(flattening,[],[f140]) ).
fof(f147,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,[],[f105]) ).
fof(f148,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,[],[f147]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f149]) ).
fof(f170,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5,X6] :
( elem(m_Down(X4),snoc(X0,m_Ack(X2,X1)))
& setIn(X3,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),queue(host(X6)))
& ! [X7] :
( host(X5) = X7
| setIn(X7,index(down,host(X6)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X1) != host(X6)
& host(X2) != host(X6) )
& host(X3) = host(X1)
& host(X2) = host(X3) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| ? [X12] :
( host(X10) != X12
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) ) )
& ! [X13,X14,X15,X16] :
( ~ setIn(host(X14),index(down,host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X16) != host(X15)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18,X19,X20] :
( ~ elem(m_Down(X18),queue(host(X19)))
| ~ elem(m_Down(X20),queue(host(X17)))
| host(X20) != host(X19)
| host(X17) != host(X18)
| ~ setIn(X19,alive)
| ~ setIn(X17,alive)
| host(X17) = host(X19) )
& ! [X21,X22,X23] :
( ~ elem(m_Down(X21),queue(host(X22)))
| host(X22) != host(index(elid,host(X23)))
| wait != index(status,host(X23))
| host(X21) != host(X23)
| ~ setIn(X23,alive)
| host(X22) = host(X23) )
& ! [X24,X25,X26] :
( ~ elem(m_Down(X24),queue(host(X25)))
| norm != index(status,host(X26))
| host(X25) != index(ldr,host(X26))
| host(X24) != host(X26)
| ~ setIn(X26,alive)
| host(X26) = host(X25) )
& ! [X27] :
( index(elid,host(X27)) = X27
| ~ setIn(X27,alive)
| ( elec_2 != index(status,host(X27))
& elec_1 != index(status,host(X27)) ) )
& ! [X28,X29] :
( ~ setIn(X29,alive)
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| X28 = X29 )
& ! [X30,X31] :
( ~ elem(m_NotNorm(X30),queue(host(X31)))
| nbr_proc != host(X31) )
& ! [X32,X33] :
( host(X32) != host(X33)
| ~ elem(m_Down(X33),queue(host(X32))) )
& ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Ldr(X35),queue(host(X34))) ) ),
inference(rectify,[],[f141]) ).
fof(f171,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5,X6] :
( elem(m_Down(X4),snoc(X0,m_Ack(X2,X1)))
& setIn(X3,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),queue(host(X6)))
& ! [X7] :
( host(X5) = X7
| setIn(X7,index(down,host(X6)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X1) != host(X6)
& host(X2) != host(X6) )
& host(X3) = host(X1)
& host(X2) = host(X3) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| ? [X12] :
( host(X10) != X12
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) ) )
& ! [X13,X14,X15,X16] :
( ~ setIn(host(X14),index(down,host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X16) != host(X15)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18,X19,X20] :
( ~ elem(m_Down(X18),queue(host(X19)))
| ~ elem(m_Down(X20),queue(host(X17)))
| host(X20) != host(X19)
| host(X17) != host(X18)
| ~ setIn(X19,alive)
| ~ setIn(X17,alive)
| host(X17) = host(X19) )
& ! [X21,X22,X23] :
( ~ elem(m_Down(X21),queue(host(X22)))
| host(X22) != host(index(elid,host(X23)))
| wait != index(status,host(X23))
| host(X21) != host(X23)
| ~ setIn(X23,alive)
| host(X22) = host(X23) )
& ! [X24,X25,X26] :
( ~ elem(m_Down(X24),queue(host(X25)))
| norm != index(status,host(X26))
| host(X25) != index(ldr,host(X26))
| host(X24) != host(X26)
| ~ setIn(X26,alive)
| host(X26) = host(X25) )
& ! [X27] :
( index(elid,host(X27)) = X27
| ~ setIn(X27,alive)
| ( elec_2 != index(status,host(X27))
& elec_1 != index(status,host(X27)) ) )
& ! [X28,X29] :
( ~ setIn(X29,alive)
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| X28 = X29 )
& ! [X30,X31] :
( ~ elem(m_NotNorm(X30),queue(host(X31)))
| nbr_proc != host(X31) )
& ! [X32,X33] :
( host(X32) != host(X33)
| ~ elem(m_Down(X33),queue(host(X32))) )
& ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Ldr(X35),queue(host(X34))) ) )
=> ( ? [X3] :
( ? [X6,X5,X4] :
( elem(m_Down(X4),snoc(sK3,m_Ack(sK5,sK4)))
& setIn(X3,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),queue(host(X6)))
& ! [X7] :
( host(X5) = X7
| setIn(X7,index(down,host(X6)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X6) != host(sK4)
& host(X6) != host(sK5) )
& host(X3) = host(sK4)
& host(X3) = host(sK5) )
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Halt(sK5),sK3)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| ? [X12] :
( host(X10) != X12
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) ) )
& ! [X13,X14,X15,X16] :
( ~ setIn(host(X14),index(down,host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X16) != host(X15)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18,X19,X20] :
( ~ elem(m_Down(X18),queue(host(X19)))
| ~ elem(m_Down(X20),queue(host(X17)))
| host(X20) != host(X19)
| host(X17) != host(X18)
| ~ setIn(X19,alive)
| ~ setIn(X17,alive)
| host(X17) = host(X19) )
& ! [X21,X22,X23] :
( ~ elem(m_Down(X21),queue(host(X22)))
| host(X22) != host(index(elid,host(X23)))
| wait != index(status,host(X23))
| host(X21) != host(X23)
| ~ setIn(X23,alive)
| host(X22) = host(X23) )
& ! [X24,X25,X26] :
( ~ elem(m_Down(X24),queue(host(X25)))
| norm != index(status,host(X26))
| host(X25) != index(ldr,host(X26))
| host(X24) != host(X26)
| ~ setIn(X26,alive)
| host(X26) = host(X25) )
& ! [X27] :
( index(elid,host(X27)) = X27
| ~ setIn(X27,alive)
| ( elec_2 != index(status,host(X27))
& elec_1 != index(status,host(X27)) ) )
& ! [X28,X29] :
( ~ setIn(X29,alive)
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| X28 = X29 )
& ! [X30,X31] :
( ~ elem(m_NotNorm(X30),queue(host(X31)))
| nbr_proc != host(X31) )
& ! [X32,X33] :
( host(X32) != host(X33)
| ~ elem(m_Down(X33),queue(host(X32))) )
& ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Ldr(X35),queue(host(X34))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X3] :
( ? [X6,X5,X4] :
( elem(m_Down(X4),snoc(sK3,m_Ack(sK5,sK4)))
& setIn(X3,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),queue(host(X6)))
& ! [X7] :
( host(X5) = X7
| setIn(X7,index(down,host(X6)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X6) != host(sK4)
& host(X6) != host(sK5) )
& host(X3) = host(sK4)
& host(X3) = host(sK5) )
=> ( ? [X6,X5,X4] :
( elem(m_Down(X4),snoc(sK3,m_Ack(sK5,sK4)))
& setIn(sK6,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),queue(host(X6)))
& ! [X7] :
( host(X5) = X7
| setIn(X7,index(down,host(X6)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X6) != host(sK4)
& host(X6) != host(sK5) )
& host(sK4) = host(sK6)
& host(sK5) = host(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ? [X6,X5,X4] :
( elem(m_Down(X4),snoc(sK3,m_Ack(sK5,sK4)))
& setIn(sK6,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),queue(host(X6)))
& ! [X7] :
( host(X5) = X7
| setIn(X7,index(down,host(X6)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X6) != host(sK4)
& host(X6) != host(sK5) )
=> ( elem(m_Down(sK7),snoc(sK3,m_Ack(sK5,sK4)))
& setIn(sK6,alive)
& elec_1 = index(status,host(sK9))
& nbr_proc = host(sK9)
& host(sK9) = host(sK7)
& elem(m_Down(sK8),queue(host(sK9)))
& ! [X7] :
( host(sK8) = X7
| setIn(X7,index(down,host(sK9)))
| ~ leq(s(zero),X7)
| leq(host(sK9),X7) )
& host(sK4) != host(sK9)
& host(sK5) != host(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X10,X11] :
( ? [X12] :
( host(X10) != X12
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) )
=> ( host(X10) != sK10(X10,X11)
& ~ setIn(sK10(X10,X11),index(down,host(X11)))
& leq(s(zero),sK10(X10,X11))
& ~ leq(host(X11),sK10(X10,X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
( elem(m_Down(sK7),snoc(sK3,m_Ack(sK5,sK4)))
& setIn(sK6,alive)
& elec_1 = index(status,host(sK9))
& nbr_proc = host(sK9)
& host(sK9) = host(sK7)
& elem(m_Down(sK8),queue(host(sK9)))
& ! [X7] :
( host(sK8) = X7
| setIn(X7,index(down,host(sK9)))
| ~ leq(s(zero),X7)
| leq(host(sK9),X7) )
& host(sK4) != host(sK9)
& host(sK5) != host(sK9)
& host(sK4) = host(sK6)
& host(sK5) = host(sK6)
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Halt(sK5),sK3)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| ( host(X10) != sK10(X10,X11)
& ~ setIn(sK10(X10,X11),index(down,host(X11)))
& leq(s(zero),sK10(X10,X11))
& ~ leq(host(X11),sK10(X10,X11)) ) )
& ! [X13,X14,X15,X16] :
( ~ setIn(host(X14),index(down,host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X16) != host(X15)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18,X19,X20] :
( ~ elem(m_Down(X18),queue(host(X19)))
| ~ elem(m_Down(X20),queue(host(X17)))
| host(X20) != host(X19)
| host(X17) != host(X18)
| ~ setIn(X19,alive)
| ~ setIn(X17,alive)
| host(X17) = host(X19) )
& ! [X21,X22,X23] :
( ~ elem(m_Down(X21),queue(host(X22)))
| host(X22) != host(index(elid,host(X23)))
| wait != index(status,host(X23))
| host(X21) != host(X23)
| ~ setIn(X23,alive)
| host(X22) = host(X23) )
& ! [X24,X25,X26] :
( ~ elem(m_Down(X24),queue(host(X25)))
| norm != index(status,host(X26))
| host(X25) != index(ldr,host(X26))
| host(X24) != host(X26)
| ~ setIn(X26,alive)
| host(X26) = host(X25) )
& ! [X27] :
( index(elid,host(X27)) = X27
| ~ setIn(X27,alive)
| ( elec_2 != index(status,host(X27))
& elec_1 != index(status,host(X27)) ) )
& ! [X28,X29] :
( ~ setIn(X29,alive)
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| X28 = X29 )
& ! [X30,X31] :
( ~ elem(m_NotNorm(X30),queue(host(X31)))
| nbr_proc != host(X31) )
& ! [X32,X33] :
( host(X32) != host(X33)
| ~ elem(m_Down(X33),queue(host(X32))) )
& ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Ldr(X35),queue(host(X34))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f170,f174,f173,f172,f171]) ).
fof(f189,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f73]) ).
fof(f230,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f148]) ).
fof(f231,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f282,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ leq(host(X11),sK10(X10,X11)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f283,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| leq(s(zero),sK10(X10,X11)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f284,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(sK10(X10,X11),index(down,host(X11))) ),
inference(cnf_transformation,[],[f175]) ).
fof(f285,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| host(X10) != sK10(X10,X11) ),
inference(cnf_transformation,[],[f175]) ).
fof(f286,plain,
queue(host(sK4)) = cons(m_Halt(sK5),sK3),
inference(cnf_transformation,[],[f175]) ).
fof(f287,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f175]) ).
fof(f292,plain,
! [X7] :
( host(sK8) = X7
| setIn(X7,index(down,host(sK9)))
| ~ leq(s(zero),X7)
| leq(host(sK9),X7) ),
inference(cnf_transformation,[],[f175]) ).
fof(f293,plain,
elem(m_Down(sK8),queue(host(sK9))),
inference(cnf_transformation,[],[f175]) ).
fof(f294,plain,
host(sK9) = host(sK7),
inference(cnf_transformation,[],[f175]) ).
fof(f295,plain,
nbr_proc = host(sK9),
inference(cnf_transformation,[],[f175]) ).
fof(f296,plain,
elec_1 = index(status,host(sK9)),
inference(cnf_transformation,[],[f175]) ).
fof(f298,plain,
elem(m_Down(sK7),snoc(sK3,m_Ack(sK5,sK4))),
inference(cnf_transformation,[],[f175]) ).
cnf(c_62,plain,
m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f189]) ).
cnf(c_95,plain,
( ~ elem(X0,X1)
| elem(X0,cons(X2,X1)) ),
inference(cnf_transformation,[],[f230]) ).
cnf(c_100,plain,
( ~ elem(X0,snoc(X1,X2))
| X0 = X2
| elem(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
cnf(c_139,negated_conjecture,
elem(m_Down(sK7),snoc(sK3,m_Ack(sK5,sK4))),
inference(cnf_transformation,[],[f298]) ).
cnf(c_141,negated_conjecture,
index(status,host(sK9)) = elec_1,
inference(cnf_transformation,[],[f296]) ).
cnf(c_142,negated_conjecture,
host(sK9) = nbr_proc,
inference(cnf_transformation,[],[f295]) ).
cnf(c_143,negated_conjecture,
host(sK7) = host(sK9),
inference(cnf_transformation,[],[f294]) ).
cnf(c_144,negated_conjecture,
elem(m_Down(sK8),queue(host(sK9))),
inference(cnf_transformation,[],[f293]) ).
cnf(c_145,negated_conjecture,
( ~ leq(s(zero),X0)
| host(sK8) = X0
| setIn(X0,index(down,host(sK9)))
| leq(host(sK9),X0) ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_150,negated_conjecture,
setIn(sK4,alive),
inference(cnf_transformation,[],[f287]) ).
cnf(c_151,negated_conjecture,
cons(m_Halt(sK5),sK3) = queue(host(sK4)),
inference(cnf_transformation,[],[f286]) ).
cnf(c_152,negated_conjecture,
( index(status,host(X0)) != elec_1
| sK10(X2,X0) != host(X2)
| host(X0) != host(X1)
| host(X0) != nbr_proc
| ~ elem(m_Down(X1),queue(host(X3)))
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ setIn(X3,alive) ),
inference(cnf_transformation,[],[f285]) ).
cnf(c_153,negated_conjecture,
( index(status,host(X0)) != elec_1
| host(X0) != host(X1)
| host(X0) != nbr_proc
| ~ setIn(sK10(X2,X0),index(down,host(X0)))
| ~ elem(m_Down(X1),queue(host(X3)))
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ setIn(X3,alive) ),
inference(cnf_transformation,[],[f284]) ).
cnf(c_154,negated_conjecture,
( index(status,host(X0)) != elec_1
| host(X0) != host(X1)
| host(X0) != nbr_proc
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ elem(m_Down(X3),queue(host(X0)))
| ~ setIn(X2,alive)
| leq(s(zero),sK10(X3,X0)) ),
inference(cnf_transformation,[],[f283]) ).
cnf(c_155,negated_conjecture,
( index(status,host(X0)) != elec_1
| host(X0) != host(X1)
| host(X0) != nbr_proc
| ~ leq(host(X0),sK10(X2,X0))
| ~ elem(m_Down(X1),queue(host(X3)))
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ setIn(X3,alive) ),
inference(cnf_transformation,[],[f282]) ).
cnf(c_982,plain,
elem(m_Down(sK8),queue(nbr_proc)),
inference(light_normalisation,[status(thm)],[c_144,c_142]) ).
cnf(c_983,plain,
host(sK7) = nbr_proc,
inference(light_normalisation,[status(thm)],[c_143,c_142]) ).
cnf(c_988,plain,
index(status,nbr_proc) = elec_1,
inference(light_normalisation,[status(thm)],[c_141,c_142]) ).
cnf(c_1202,plain,
( ~ leq(s(zero),X0)
| host(sK8) = X0
| setIn(X0,index(down,nbr_proc))
| leq(nbr_proc,X0) ),
inference(light_normalisation,[status(thm)],[c_145,c_142]) ).
cnf(c_2489,plain,
s(zero) = sP0_iProver_def,
definition ).
cnf(c_2490,plain,
m_Halt(sK5) = sP1_iProver_def,
definition ).
cnf(c_2491,plain,
cons(sP1_iProver_def,sK3) = sP2_iProver_def,
definition ).
cnf(c_2492,plain,
host(sK4) = sP3_iProver_def,
definition ).
cnf(c_2493,plain,
queue(sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_2495,plain,
host(sK9) = sP6_iProver_def,
definition ).
cnf(c_2496,plain,
m_Down(sK7) = sP7_iProver_def,
definition ).
cnf(c_2497,plain,
m_Ack(sK5,sK4) = sP8_iProver_def,
definition ).
cnf(c_2498,plain,
snoc(sK3,sP8_iProver_def) = sP9_iProver_def,
definition ).
cnf(c_2509,negated_conjecture,
( index(status,host(X0)) != elec_1
| host(X0) != host(X1)
| host(X0) != nbr_proc
| ~ leq(host(X0),sK10(X2,X0))
| ~ elem(m_Down(X1),queue(host(X3)))
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ setIn(X3,alive) ),
inference(demodulation,[status(thm)],[c_155]) ).
cnf(c_2510,negated_conjecture,
( index(status,host(X0)) != elec_1
| host(X0) != host(X1)
| host(X0) != nbr_proc
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ elem(m_Down(X3),queue(host(X0)))
| ~ setIn(X2,alive)
| leq(sP0_iProver_def,sK10(X3,X0)) ),
inference(demodulation,[status(thm)],[c_154,c_2489]) ).
cnf(c_2511,negated_conjecture,
( index(status,host(X0)) != elec_1
| host(X0) != host(X1)
| host(X0) != nbr_proc
| ~ setIn(sK10(X2,X0),index(down,host(X0)))
| ~ elem(m_Down(X1),queue(host(X3)))
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ setIn(X3,alive) ),
inference(demodulation,[status(thm)],[c_153]) ).
cnf(c_2512,negated_conjecture,
( index(status,host(X0)) != elec_1
| sK10(X1,X0) != host(X1)
| host(X0) != host(X2)
| host(X0) != nbr_proc
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ elem(m_Down(X2),queue(host(X3)))
| ~ setIn(X3,alive) ),
inference(demodulation,[status(thm)],[c_152]) ).
cnf(c_2513,negated_conjecture,
sP2_iProver_def = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_151,c_2492,c_2493,c_2490,c_2491]) ).
cnf(c_2514,negated_conjecture,
setIn(sK4,alive),
inference(demodulation,[status(thm)],[c_150]) ).
cnf(c_2516,negated_conjecture,
sP6_iProver_def = nbr_proc,
inference(demodulation,[status(thm)],[c_142,c_2495]) ).
cnf(c_2518,negated_conjecture,
elem(sP7_iProver_def,sP9_iProver_def),
inference(demodulation,[status(thm)],[c_139,c_2497,c_2498,c_2496]) ).
cnf(c_4625,plain,
host(sK7) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_983,c_2516]) ).
cnf(c_4717,plain,
( index(status,host(X0)) != elec_1
| host(X0) != host(X1)
| host(X0) != sP6_iProver_def
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ elem(m_Down(X3),queue(host(X0)))
| ~ setIn(X2,alive)
| leq(sP0_iProver_def,sK10(X3,X0)) ),
inference(light_normalisation,[status(thm)],[c_2510,c_2516]) ).
cnf(c_4732,plain,
( index(status,sP6_iProver_def) != elec_1
| host(X0) != host(sK7)
| host(sK7) != sP6_iProver_def
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(sK7)))
| ~ setIn(X1,alive)
| leq(sP0_iProver_def,sK10(X2,sK7)) ),
inference(superposition,[status(thm)],[c_4625,c_4717]) ).
cnf(c_4742,plain,
( index(status,sP6_iProver_def) != elec_1
| host(X0) != sP6_iProver_def
| host(sK7) != sP6_iProver_def
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(sP6_iProver_def))
| ~ setIn(X1,alive)
| leq(sP0_iProver_def,sK10(X2,sK7)) ),
inference(light_normalisation,[status(thm)],[c_4732,c_4625]) ).
cnf(c_4743,plain,
( index(status,sP6_iProver_def) != elec_1
| host(X0) != sP6_iProver_def
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(sP6_iProver_def))
| ~ setIn(X1,alive)
| leq(sP0_iProver_def,sK10(X2,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4742,c_4625]) ).
cnf(c_4750,plain,
( index(status,host(X0)) != elec_1
| host(X0) != host(X1)
| host(X0) != sP6_iProver_def
| ~ leq(host(X0),sK10(X2,X0))
| ~ elem(m_Down(X1),queue(host(X3)))
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ setIn(X3,alive) ),
inference(light_normalisation,[status(thm)],[c_2509,c_2516]) ).
cnf(c_4765,plain,
( index(status,sP6_iProver_def) != elec_1
| host(X0) != host(sK7)
| host(sK7) != sP6_iProver_def
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(sK7)))
| ~ leq(host(sK7),sK10(X2,sK7))
| ~ setIn(X1,alive) ),
inference(superposition,[status(thm)],[c_4625,c_4750]) ).
cnf(c_4775,plain,
( index(status,sP6_iProver_def) != elec_1
| host(X0) != sP6_iProver_def
| host(sK7) != sP6_iProver_def
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(sP6_iProver_def))
| ~ leq(sP6_iProver_def,sK10(X2,sK7))
| ~ setIn(X1,alive) ),
inference(light_normalisation,[status(thm)],[c_4765,c_4625]) ).
cnf(c_4776,plain,
( index(status,sP6_iProver_def) != elec_1
| host(X0) != sP6_iProver_def
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(sP6_iProver_def))
| ~ leq(sP6_iProver_def,sK10(X2,sK7))
| ~ setIn(X1,alive) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4775,c_4625]) ).
cnf(c_4783,plain,
( index(status,host(X0)) != elec_1
| sK10(X1,X0) != host(X1)
| host(X0) != host(X2)
| host(X0) != sP6_iProver_def
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ elem(m_Down(X2),queue(host(X3)))
| ~ setIn(X3,alive) ),
inference(light_normalisation,[status(thm)],[c_2512,c_2516]) ).
cnf(c_4798,plain,
( sK10(X0,sK7) != host(X0)
| index(status,sP6_iProver_def) != elec_1
| host(X1) != host(sK7)
| host(sK7) != sP6_iProver_def
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ elem(m_Down(X0),queue(host(sK7)))
| ~ setIn(X2,alive) ),
inference(superposition,[status(thm)],[c_4625,c_4783]) ).
cnf(c_4808,plain,
( sK10(X0,sK7) != host(X0)
| index(status,sP6_iProver_def) != elec_1
| host(X1) != sP6_iProver_def
| host(sK7) != sP6_iProver_def
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ elem(m_Down(X0),queue(sP6_iProver_def))
| ~ setIn(X2,alive) ),
inference(light_normalisation,[status(thm)],[c_4798,c_4625]) ).
cnf(c_4809,plain,
( sK10(X0,sK7) != host(X0)
| index(status,sP6_iProver_def) != elec_1
| host(X1) != sP6_iProver_def
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ elem(m_Down(X0),queue(sP6_iProver_def))
| ~ setIn(X2,alive) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4808,c_4625]) ).
cnf(c_4816,plain,
( index(status,host(X0)) != elec_1
| host(X0) != host(X1)
| host(X0) != sP6_iProver_def
| ~ setIn(sK10(X2,X0),index(down,host(X0)))
| ~ elem(m_Down(X1),queue(host(X3)))
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ setIn(X3,alive) ),
inference(light_normalisation,[status(thm)],[c_2511,c_2516]) ).
cnf(c_4831,plain,
( index(status,sP6_iProver_def) != elec_1
| host(X0) != host(sK7)
| host(sK7) != sP6_iProver_def
| ~ setIn(sK10(X1,sK7),index(down,host(sK7)))
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ elem(m_Down(X1),queue(host(sK7)))
| ~ setIn(X2,alive) ),
inference(superposition,[status(thm)],[c_4625,c_4816]) ).
cnf(c_4841,plain,
( index(status,sP6_iProver_def) != elec_1
| host(X0) != sP6_iProver_def
| host(sK7) != sP6_iProver_def
| ~ setIn(sK10(X1,sK7),index(down,sP6_iProver_def))
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ elem(m_Down(X1),queue(sP6_iProver_def))
| ~ setIn(X2,alive) ),
inference(light_normalisation,[status(thm)],[c_4831,c_4625]) ).
cnf(c_4842,plain,
( index(status,sP6_iProver_def) != elec_1
| host(X0) != sP6_iProver_def
| ~ setIn(sK10(X1,sK7),index(down,sP6_iProver_def))
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ elem(m_Down(X1),queue(sP6_iProver_def))
| ~ setIn(X2,alive) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4841,c_4625]) ).
cnf(c_4849,plain,
elem(m_Down(sK8),queue(sP6_iProver_def)),
inference(light_normalisation,[status(thm)],[c_982,c_2516]) ).
cnf(c_4851,plain,
index(status,sP6_iProver_def) = elec_1,
inference(light_normalisation,[status(thm)],[c_988,c_2516]) ).
cnf(c_4875,plain,
( ~ leq(sP0_iProver_def,X0)
| host(sK8) = X0
| setIn(X0,index(down,sP6_iProver_def))
| leq(sP6_iProver_def,X0) ),
inference(light_normalisation,[status(thm)],[c_1202,c_2489,c_2516]) ).
cnf(c_5002,plain,
queue(sP3_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_2493,c_2513]) ).
cnf(c_6276,plain,
m_Down(X0) != sP8_iProver_def,
inference(superposition,[status(thm)],[c_2497,c_62]) ).
cnf(c_6287,plain,
sP7_iProver_def != sP8_iProver_def,
inference(superposition,[status(thm)],[c_2496,c_6276]) ).
cnf(c_6701,plain,
( ~ elem(X0,sK3)
| elem(X0,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_2491,c_95]) ).
cnf(c_7120,plain,
( host(X0) != sP6_iProver_def
| elec_1 != elec_1
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(sP6_iProver_def))
| ~ setIn(X1,alive)
| leq(sP0_iProver_def,sK10(X2,sK7)) ),
inference(demodulation,[status(thm)],[c_4743,c_4851]) ).
cnf(c_7121,plain,
( host(X0) != sP6_iProver_def
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(sP6_iProver_def))
| ~ setIn(X1,alive)
| leq(sP0_iProver_def,sK10(X2,sK7)) ),
inference(equality_resolution_simp,[status(thm)],[c_7120]) ).
cnf(c_7133,plain,
( ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Down(X1),queue(sP6_iProver_def))
| ~ setIn(X0,alive)
| leq(sP0_iProver_def,sK10(X1,sK7)) ),
inference(superposition,[status(thm)],[c_4625,c_7121]) ).
cnf(c_7136,plain,
( ~ elem(m_Down(X0),queue(sP6_iProver_def))
| ~ elem(sP7_iProver_def,queue(host(X1)))
| ~ setIn(X1,alive)
| leq(sP0_iProver_def,sK10(X0,sK7)) ),
inference(light_normalisation,[status(thm)],[c_7133,c_2496]) ).
cnf(c_7368,plain,
( host(X0) != sP6_iProver_def
| elec_1 != elec_1
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(sP6_iProver_def))
| ~ leq(sP6_iProver_def,sK10(X2,sK7))
| ~ setIn(X1,alive) ),
inference(demodulation,[status(thm)],[c_4776,c_4851]) ).
cnf(c_7369,plain,
( host(X0) != sP6_iProver_def
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(sP6_iProver_def))
| ~ leq(sP6_iProver_def,sK10(X2,sK7))
| ~ setIn(X1,alive) ),
inference(equality_resolution_simp,[status(thm)],[c_7368]) ).
cnf(c_7381,plain,
( ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Down(X1),queue(sP6_iProver_def))
| ~ leq(sP6_iProver_def,sK10(X1,sK7))
| ~ setIn(X0,alive) ),
inference(superposition,[status(thm)],[c_4625,c_7369]) ).
cnf(c_7384,plain,
( ~ elem(m_Down(X0),queue(sP6_iProver_def))
| ~ elem(sP7_iProver_def,queue(host(X1)))
| ~ leq(sP6_iProver_def,sK10(X0,sK7))
| ~ setIn(X1,alive) ),
inference(light_normalisation,[status(thm)],[c_7381,c_2496]) ).
cnf(c_7399,plain,
( sK10(X0,sK7) != host(X0)
| host(X1) != sP6_iProver_def
| elec_1 != elec_1
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ elem(m_Down(X0),queue(sP6_iProver_def))
| ~ setIn(X2,alive) ),
inference(demodulation,[status(thm)],[c_4809,c_4851]) ).
cnf(c_7400,plain,
( sK10(X0,sK7) != host(X0)
| host(X1) != sP6_iProver_def
| ~ elem(m_Down(X1),queue(host(X2)))
| ~ elem(m_Down(X0),queue(sP6_iProver_def))
| ~ setIn(X2,alive) ),
inference(equality_resolution_simp,[status(thm)],[c_7399]) ).
cnf(c_7411,plain,
( host(X0) != sP6_iProver_def
| elec_1 != elec_1
| ~ setIn(sK10(X1,sK7),index(down,sP6_iProver_def))
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ elem(m_Down(X1),queue(sP6_iProver_def))
| ~ setIn(X2,alive) ),
inference(demodulation,[status(thm)],[c_4842,c_4851]) ).
cnf(c_7412,plain,
( host(X0) != sP6_iProver_def
| ~ setIn(sK10(X1,sK7),index(down,sP6_iProver_def))
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ elem(m_Down(X1),queue(sP6_iProver_def))
| ~ setIn(X2,alive) ),
inference(equality_resolution_simp,[status(thm)],[c_7411]) ).
cnf(c_7424,plain,
( ~ setIn(sK10(X0,sK7),index(down,sP6_iProver_def))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(X0),queue(sP6_iProver_def))
| ~ setIn(X1,alive) ),
inference(superposition,[status(thm)],[c_4625,c_7412]) ).
cnf(c_7427,plain,
( ~ setIn(sK10(X0,sK7),index(down,sP6_iProver_def))
| ~ elem(m_Down(X0),queue(sP6_iProver_def))
| ~ elem(sP7_iProver_def,queue(host(X1)))
| ~ setIn(X1,alive) ),
inference(light_normalisation,[status(thm)],[c_7424,c_2496]) ).
cnf(c_8520,plain,
( ~ elem(X0,sP9_iProver_def)
| X0 = sP8_iProver_def
| elem(X0,sK3) ),
inference(superposition,[status(thm)],[c_2498,c_100]) ).
cnf(c_16540,plain,
( ~ elem(m_Down(X0),queue(sP6_iProver_def))
| ~ elem(sP7_iProver_def,queue(host(X1)))
| ~ leq(sP0_iProver_def,sK10(X0,sK7))
| ~ setIn(X1,alive)
| sK10(X0,sK7) = host(sK8)
| leq(sP6_iProver_def,sK10(X0,sK7)) ),
inference(superposition,[status(thm)],[c_4875,c_7427]) ).
cnf(c_16548,plain,
( sK10(X0,sK7) = host(sK8)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(sP6_iProver_def))
| ~ elem(sP7_iProver_def,queue(host(X1))) ),
inference(global_subsumption_just,[status(thm)],[c_16540,c_7136,c_7384,c_16540]) ).
cnf(c_16549,plain,
( ~ elem(m_Down(X0),queue(sP6_iProver_def))
| ~ elem(sP7_iProver_def,queue(host(X1)))
| ~ setIn(X1,alive)
| sK10(X0,sK7) = host(sK8) ),
inference(renaming,[status(thm)],[c_16548]) ).
cnf(c_16559,plain,
( ~ elem(sP7_iProver_def,queue(host(X0)))
| ~ setIn(X0,alive)
| sK10(sK8,sK7) = host(sK8) ),
inference(superposition,[status(thm)],[c_4849,c_16549]) ).
cnf(c_16573,plain,
( ~ elem(sP7_iProver_def,queue(sP3_iProver_def))
| ~ setIn(sK4,alive)
| sK10(sK8,sK7) = host(sK8) ),
inference(superposition,[status(thm)],[c_2492,c_16559]) ).
cnf(c_16579,plain,
( ~ setIn(sK4,alive)
| ~ elem(sP7_iProver_def,sP2_iProver_def)
| sK10(sK8,sK7) = host(sK8) ),
inference(light_normalisation,[status(thm)],[c_16573,c_5002]) ).
cnf(c_16580,plain,
( ~ elem(sP7_iProver_def,sP2_iProver_def)
| sK10(sK8,sK7) = host(sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16579,c_2514]) ).
cnf(c_37008,plain,
( sP7_iProver_def = sP8_iProver_def
| elem(sP7_iProver_def,sK3) ),
inference(superposition,[status(thm)],[c_2518,c_8520]) ).
cnf(c_37016,plain,
elem(sP7_iProver_def,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_37008,c_6287]) ).
cnf(c_37061,plain,
elem(sP7_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_37016,c_6701]) ).
cnf(c_37085,plain,
sK10(sK8,sK7) = host(sK8),
inference(backward_subsumption_resolution,[status(thm)],[c_16580,c_37061]) ).
cnf(c_37400,plain,
( host(X0) != sP6_iProver_def
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(sK8),queue(sP6_iProver_def))
| ~ setIn(X1,alive) ),
inference(superposition,[status(thm)],[c_37085,c_7400]) ).
cnf(c_37401,plain,
( host(X0) != sP6_iProver_def
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37400,c_4849]) ).
cnf(c_37812,plain,
( ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(superposition,[status(thm)],[c_4625,c_37401]) ).
cnf(c_37815,plain,
( ~ elem(sP7_iProver_def,queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(light_normalisation,[status(thm)],[c_37812,c_2496]) ).
cnf(c_37869,plain,
( ~ elem(sP7_iProver_def,queue(sP3_iProver_def))
| ~ setIn(sK4,alive) ),
inference(superposition,[status(thm)],[c_2492,c_37815]) ).
cnf(c_37873,plain,
( ~ setIn(sK4,alive)
| ~ elem(sP7_iProver_def,sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_37869,c_5002]) ).
cnf(c_37874,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_37873,c_37061,c_2514]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV470+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 00:36:31 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 10.06/2.21 % SZS status Started for theBenchmark.p
% 10.06/2.21 % SZS status Theorem for theBenchmark.p
% 10.06/2.21
% 10.06/2.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.06/2.21
% 10.06/2.21 ------ iProver source info
% 10.06/2.21
% 10.06/2.21 git: date: 2024-05-02 19:28:25 +0000
% 10.06/2.21 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.06/2.21 git: non_committed_changes: false
% 10.06/2.21
% 10.06/2.21 ------ Parsing...
% 10.06/2.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 10.06/2.21
% 10.06/2.21 ------ Preprocessing... sup_sim: 10 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
% 10.06/2.21
% 10.06/2.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.06/2.21
% 10.06/2.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.06/2.21 ------ Proving...
% 10.06/2.21 ------ Problem Properties
% 10.06/2.21
% 10.06/2.21
% 10.06/2.21 clauses 122
% 10.06/2.21 conjectures 20
% 10.06/2.21 EPR 20
% 10.06/2.21 Horn 106
% 10.06/2.21 unary 66
% 10.06/2.21 binary 25
% 10.06/2.21 lits 248
% 10.06/2.21 lits eq 115
% 10.06/2.21 fd_pure 0
% 10.06/2.21 fd_pseudo 0
% 10.06/2.21 fd_cond 1
% 10.06/2.21 fd_pseudo_cond 12
% 10.06/2.21 AC symbols 0
% 10.06/2.21
% 10.06/2.21 ------ Schedule dynamic 5 is on
% 10.06/2.21
% 10.06/2.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.06/2.21
% 10.06/2.21
% 10.06/2.21 ------
% 10.06/2.21 Current options:
% 10.06/2.21 ------
% 10.06/2.21
% 10.06/2.21
% 10.06/2.21
% 10.06/2.21
% 10.06/2.21 ------ Proving...
% 10.06/2.21
% 10.06/2.21
% 10.06/2.21 % SZS status Theorem for theBenchmark.p
% 10.06/2.21
% 10.06/2.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.06/2.22
% 10.06/2.22
%------------------------------------------------------------------------------