%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV475+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 : Thu Sep 24 02:55:36 PM UTC 2026
% Result : Theorem 75.80s 11.48s
% Output : CNFRefutation 75.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 72 ( 42 unt; 0 def)
% Number of atoms : 830 ( 366 equ)
% Maximal formula atoms : 179 ( 11 avg)
% Number of connectives : 1086 ( 328 ~; 245 |; 406 &)
% ( 4 <=>; 103 =>; 0 <=; 0 <~>)
% Maximal formula depth : 83 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 33 ( 33 usr; 22 con; 0-8 aty)
% Number of variables : 348 ( 24 sgn 298 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj,conjecture,
! [X12,X13,X5,X6] :
( ( queue(host(X5)) = cons(m_Ack(X13,X6),X12)
& ! [X7,X16,X15,X14] :
( ( index(status,host(X14)) = elec_1
& host(X16) = s(host(X14))
& elem(m_Down(X16),queue(host(X14)))
& elem(m_Down(X15),queue(host(X14)))
& leq(nbr_proc,s(host(X14)))
& setIn(X14,alive)
& ! [X17] :
( ( leq(s(zero),X17)
& ~ leq(host(X14),X17) )
=> ( X17 = host(X15)
| setIn(X17,index(down,host(X14))) ) ) )
=> ~ ( index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X7,alive) ) )
& ! [X7,X16,X15,X14] :
( ( index(status,host(X14)) = elec_1
& index(status,host(X7)) = elec_2
& host(X16) = host(X14)
& elem(m_Down(X15),queue(host(X14)))
& leq(host(X7),host(X14))
& setIn(X7,alive)
& ! [X17] :
( ( leq(s(zero),X17)
& ~ leq(host(X14),X17) )
=> ( X17 = host(X15)
| setIn(X17,index(down,host(X14))) ) ) )
=> ~ elem(m_Ack(X7,X16),queue(host(X7))) )
& ! [X7,X15,X14] :
( ( host(index(elid,host(X14))) = host(X15)
& index(status,host(X14)) = wait
& host(X15) = host(X7)
& elem(m_Down(X7),queue(host(X14)))
& setIn(X14,alive)
& host(X14) != host(X15) )
=> ~ ( index(ldr,host(X15)) = host(X15)
& index(status,host(X15)) = norm
& setIn(X15,alive) ) )
& ! [X7,X15,X14] :
( ( index(ldr,host(X14)) = host(X15)
& index(status,host(X14)) = norm
& host(X15) = host(X7)
& elem(m_Down(X7),queue(host(X14)))
& setIn(X14,alive)
& host(X14) != host(X15) )
=> ~ ( index(ldr,host(X15)) = host(X15)
& index(status,host(X15)) = norm
& setIn(X15,alive) ) )
& ! [X7,X16,X15,X14] :
( ( host(X14) = host(X15)
& host(X16) = host(X7)
& setIn(X15,alive)
& setIn(X7,alive)
& host(X15) != host(X7) )
=> ~ ( setIn(host(X16),index(down,host(X15)))
& elem(m_Down(X14),queue(host(X7))) ) )
& ! [X7,X16,X15,X14] :
( ( host(X14) = host(X15)
& host(X16) = host(X7)
& setIn(X15,alive)
& setIn(X7,alive)
& host(X15) != host(X7) )
=> ~ ( elem(m_Down(X16),queue(host(X15)))
& elem(m_Down(X14),queue(host(X7))) ) )
& ! [X7,X15,X14] :
( ( host(X15) = host(X7)
& elem(m_Down(X15),queue(host(X14)))
& setIn(X14,alive)
& ~ leq(host(X15),host(X14)) )
=> ~ ( index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X7,alive) ) )
& ! [X7,X14] :
( ( index(ldr,host(X14)) = host(X14)
& index(status,host(X14)) = norm
& index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X14,alive)
& setIn(X7,alive) )
=> X14 = X7 )
& ! [X7,X15,X14] :
( ( index(ldr,host(X14)) = host(X14)
& index(status,host(X14)) = norm
& host(X15) = host(X14)
& setIn(X14,alive) )
=> ~ ( elem(m_Down(X15),queue(host(X7)))
& setIn(X7,alive) ) )
& ! [X7,X15,X14] :
( ( index(status,host(X14)) = elec_2
& host(X14) = host(X15)
& elem(m_Down(X15),queue(host(X7)))
& setIn(X14,alive)
& setIn(X7,alive) )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X14] :
( ( index(ldr,host(X14)) = host(X14)
& index(status,host(X14)) = norm
& setIn(X14,alive) )
=> ~ ( setIn(host(X14),index(down,host(X7)))
& setIn(X7,alive) ) )
& ! [X7,X14] :
( ( index(status,host(X14)) = elec_2
& setIn(host(X14),index(down,host(X7)))
& setIn(X14,alive)
& setIn(X7,alive) )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7] :
( ( setIn(X7,alive)
& ( index(status,host(X7)) = elec_2
| index(status,host(X7)) = elec_1 ) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X14] :
( ( host(X14) = host(X7)
& X14 != X7 )
=> ( ~ setIn(X14,alive)
| ~ setIn(X7,alive) ) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> host(X14) != host(X7) )
& ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) ) )
=> ( setIn(X5,alive)
=> ( ( host(X6) = index(pendack,host(X5))
& index(status,host(X5)) = elec_2
& index(elid,host(X5)) = X13 )
=> ( leq(nbr_proc,index(pendack,host(X5)))
=> ! [X7] :
( ( host(X7) = host(X6)
| setIn(host(X7),index(acks,host(X5))) )
=> ! [X17] :
( host(X5) = host(X17)
=> ! [X18,X19,X20] :
( host(X7) = host(X20)
=> ( host(X5) != host(X20)
=> ( ( index(status,host(X20)) = elec_1
& host(X18) = s(host(X20))
& elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X5)))
& elem(m_Down(X18),snoc(queue(host(X20)),m_Ldr(X5)))
& leq(nbr_proc,s(host(X20)))
& setIn(X20,alive)
& ! [X21] :
( ( leq(s(zero),X21)
& ~ leq(host(X20),X21) )
=> ( X21 = host(X19)
| setIn(X21,index(down,host(X20))) ) ) )
=> ~ ( host(X5) = host(X17)
& setIn(X17,alive) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(axiom_18,axiom,
! [X5,X6] : m_Down(X5) != m_Ldr(X6),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_18) ).
fof(axiom_61,axiom,
! [X5,X6] :
( ( leq(X6,X5)
& leq(X5,X6) )
<=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(axiom_04,axiom,
! [X3] : leq(host(X3),nbr_proc),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(axiom_47,axiom,
! [X5,X6,X4] :
( elem(X5,snoc(X4,X6))
<=> ( elem(X5,X4)
| X5 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
fof(axiom_58,axiom,
! [X5] : ~ leq(s(X5),X5),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
fof(axiom_64,axiom,
! [X5,X6] :
( leq(X5,s(X6))
<=> ( leq(X5,X6)
| X5 = s(X6) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
fof(axiom_02,axiom,
! [X3] : leq(s(zero),host(X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(c_0_8,negated_conjecture,
~ ! [X12,X13,X5,X6] :
( ( queue(host(X5)) = cons(m_Ack(X13,X6),X12)
& ! [X7,X16,X15,X14] :
( ( index(status,host(X14)) = elec_1
& host(X16) = s(host(X14))
& elem(m_Down(X16),queue(host(X14)))
& elem(m_Down(X15),queue(host(X14)))
& leq(nbr_proc,s(host(X14)))
& setIn(X14,alive)
& ! [X17] :
( ( leq(s(zero),X17)
& ~ leq(host(X14),X17) )
=> ( X17 = host(X15)
| setIn(X17,index(down,host(X14))) ) ) )
=> ~ ( index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X7,alive) ) )
& ! [X7,X16,X15,X14] :
( ( index(status,host(X14)) = elec_1
& index(status,host(X7)) = elec_2
& host(X16) = host(X14)
& elem(m_Down(X15),queue(host(X14)))
& leq(host(X7),host(X14))
& setIn(X7,alive)
& ! [X17] :
( ( leq(s(zero),X17)
& ~ leq(host(X14),X17) )
=> ( X17 = host(X15)
| setIn(X17,index(down,host(X14))) ) ) )
=> ~ elem(m_Ack(X7,X16),queue(host(X7))) )
& ! [X7,X15,X14] :
( ( host(index(elid,host(X14))) = host(X15)
& index(status,host(X14)) = wait
& host(X15) = host(X7)
& elem(m_Down(X7),queue(host(X14)))
& setIn(X14,alive)
& host(X14) != host(X15) )
=> ~ ( index(ldr,host(X15)) = host(X15)
& index(status,host(X15)) = norm
& setIn(X15,alive) ) )
& ! [X7,X15,X14] :
( ( index(ldr,host(X14)) = host(X15)
& index(status,host(X14)) = norm
& host(X15) = host(X7)
& elem(m_Down(X7),queue(host(X14)))
& setIn(X14,alive)
& host(X14) != host(X15) )
=> ~ ( index(ldr,host(X15)) = host(X15)
& index(status,host(X15)) = norm
& setIn(X15,alive) ) )
& ! [X7,X16,X15,X14] :
( ( host(X14) = host(X15)
& host(X16) = host(X7)
& setIn(X15,alive)
& setIn(X7,alive)
& host(X15) != host(X7) )
=> ~ ( setIn(host(X16),index(down,host(X15)))
& elem(m_Down(X14),queue(host(X7))) ) )
& ! [X7,X16,X15,X14] :
( ( host(X14) = host(X15)
& host(X16) = host(X7)
& setIn(X15,alive)
& setIn(X7,alive)
& host(X15) != host(X7) )
=> ~ ( elem(m_Down(X16),queue(host(X15)))
& elem(m_Down(X14),queue(host(X7))) ) )
& ! [X7,X15,X14] :
( ( host(X15) = host(X7)
& elem(m_Down(X15),queue(host(X14)))
& setIn(X14,alive)
& ~ leq(host(X15),host(X14)) )
=> ~ ( index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X7,alive) ) )
& ! [X7,X14] :
( ( index(ldr,host(X14)) = host(X14)
& index(status,host(X14)) = norm
& index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X14,alive)
& setIn(X7,alive) )
=> X14 = X7 )
& ! [X7,X15,X14] :
( ( index(ldr,host(X14)) = host(X14)
& index(status,host(X14)) = norm
& host(X15) = host(X14)
& setIn(X14,alive) )
=> ~ ( elem(m_Down(X15),queue(host(X7)))
& setIn(X7,alive) ) )
& ! [X7,X15,X14] :
( ( index(status,host(X14)) = elec_2
& host(X14) = host(X15)
& elem(m_Down(X15),queue(host(X7)))
& setIn(X14,alive)
& setIn(X7,alive) )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X14] :
( ( index(ldr,host(X14)) = host(X14)
& index(status,host(X14)) = norm
& setIn(X14,alive) )
=> ~ ( setIn(host(X14),index(down,host(X7)))
& setIn(X7,alive) ) )
& ! [X7,X14] :
( ( index(status,host(X14)) = elec_2
& setIn(host(X14),index(down,host(X7)))
& setIn(X14,alive)
& setIn(X7,alive) )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7] :
( ( setIn(X7,alive)
& ( index(status,host(X7)) = elec_2
| index(status,host(X7)) = elec_1 ) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X14] :
( ( host(X14) = host(X7)
& X14 != X7 )
=> ( ~ setIn(X14,alive)
| ~ setIn(X7,alive) ) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> host(X14) != host(X7) )
& ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) ) )
=> ( setIn(X5,alive)
=> ( ( host(X6) = index(pendack,host(X5))
& index(status,host(X5)) = elec_2
& index(elid,host(X5)) = X13 )
=> ( leq(nbr_proc,index(pendack,host(X5)))
=> ! [X7] :
( ( host(X7) = host(X6)
| setIn(host(X7),index(acks,host(X5))) )
=> ! [X17] :
( host(X5) = host(X17)
=> ! [X18,X19,X20] :
( host(X7) = host(X20)
=> ( host(X5) != host(X20)
=> ( ( index(status,host(X20)) = elec_1
& host(X18) = s(host(X20))
& elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X5)))
& elem(m_Down(X18),snoc(queue(host(X20)),m_Ldr(X5)))
& leq(nbr_proc,s(host(X20)))
& setIn(X20,alive)
& ! [X21] :
( ( leq(s(zero),X21)
& ~ leq(host(X20),X21) )
=> ( X21 = host(X19)
| setIn(X21,index(down,host(X20))) ) ) )
=> ~ ( host(X5) = host(X17)
& setIn(X17,alive) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj]) ).
fof(c_0_9,plain,
! [X6,X5,X13,X12] :
( epred1_4(X12,X13,X5,X6)
<=> ( queue(host(X5)) = cons(m_Ack(X13,X6),X12)
& ! [X7,X16,X15,X14] :
( ( index(status,host(X14)) = elec_1
& host(X16) = s(host(X14))
& elem(m_Down(X16),queue(host(X14)))
& elem(m_Down(X15),queue(host(X14)))
& leq(nbr_proc,s(host(X14)))
& setIn(X14,alive)
& ! [X17] :
( ( leq(s(zero),X17)
& ~ leq(host(X14),X17) )
=> ( X17 = host(X15)
| setIn(X17,index(down,host(X14))) ) ) )
=> ~ ( index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X7,alive) ) )
& ! [X7,X16,X15,X14] :
( ( index(status,host(X14)) = elec_1
& index(status,host(X7)) = elec_2
& host(X16) = host(X14)
& elem(m_Down(X15),queue(host(X14)))
& leq(host(X7),host(X14))
& setIn(X7,alive)
& ! [X17] :
( ( leq(s(zero),X17)
& ~ leq(host(X14),X17) )
=> ( X17 = host(X15)
| setIn(X17,index(down,host(X14))) ) ) )
=> ~ elem(m_Ack(X7,X16),queue(host(X7))) )
& ! [X7,X15,X14] :
( ( host(index(elid,host(X14))) = host(X15)
& index(status,host(X14)) = wait
& host(X15) = host(X7)
& elem(m_Down(X7),queue(host(X14)))
& setIn(X14,alive)
& host(X14) != host(X15) )
=> ~ ( index(ldr,host(X15)) = host(X15)
& index(status,host(X15)) = norm
& setIn(X15,alive) ) )
& ! [X7,X15,X14] :
( ( index(ldr,host(X14)) = host(X15)
& index(status,host(X14)) = norm
& host(X15) = host(X7)
& elem(m_Down(X7),queue(host(X14)))
& setIn(X14,alive)
& host(X14) != host(X15) )
=> ~ ( index(ldr,host(X15)) = host(X15)
& index(status,host(X15)) = norm
& setIn(X15,alive) ) )
& ! [X7,X16,X15,X14] :
( ( host(X14) = host(X15)
& host(X16) = host(X7)
& setIn(X15,alive)
& setIn(X7,alive)
& host(X15) != host(X7) )
=> ~ ( setIn(host(X16),index(down,host(X15)))
& elem(m_Down(X14),queue(host(X7))) ) )
& ! [X7,X16,X15,X14] :
( ( host(X14) = host(X15)
& host(X16) = host(X7)
& setIn(X15,alive)
& setIn(X7,alive)
& host(X15) != host(X7) )
=> ~ ( elem(m_Down(X16),queue(host(X15)))
& elem(m_Down(X14),queue(host(X7))) ) )
& ! [X7,X15,X14] :
( ( host(X15) = host(X7)
& elem(m_Down(X15),queue(host(X14)))
& setIn(X14,alive)
& ~ leq(host(X15),host(X14)) )
=> ~ ( index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X7,alive) ) )
& ! [X7,X14] :
( ( index(ldr,host(X14)) = host(X14)
& index(status,host(X14)) = norm
& index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X14,alive)
& setIn(X7,alive) )
=> X14 = X7 )
& ! [X7,X15,X14] :
( ( index(ldr,host(X14)) = host(X14)
& index(status,host(X14)) = norm
& host(X15) = host(X14)
& setIn(X14,alive) )
=> ~ ( elem(m_Down(X15),queue(host(X7)))
& setIn(X7,alive) ) )
& ! [X7,X15,X14] :
( ( index(status,host(X14)) = elec_2
& host(X14) = host(X15)
& elem(m_Down(X15),queue(host(X7)))
& setIn(X14,alive)
& setIn(X7,alive) )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X14] :
( ( index(ldr,host(X14)) = host(X14)
& index(status,host(X14)) = norm
& setIn(X14,alive) )
=> ~ ( setIn(host(X14),index(down,host(X7)))
& setIn(X7,alive) ) )
& ! [X7,X14] :
( ( index(status,host(X14)) = elec_2
& setIn(host(X14),index(down,host(X7)))
& setIn(X14,alive)
& setIn(X7,alive) )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7] :
( ( setIn(X7,alive)
& ( index(status,host(X7)) = elec_2
| index(status,host(X7)) = elec_1 ) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X14] :
( ( host(X14) = host(X7)
& X14 != X7 )
=> ( ~ setIn(X14,alive)
| ~ setIn(X7,alive) ) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> host(X14) != host(X7) )
& ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) ) ) ),
introduced(definition) ).
fof(c_0_10,negated_conjecture,
~ ! [X12,X13,X5,X6] :
( epred1_4(X12,X13,X5,X6)
=> ( setIn(X5,alive)
=> ( ( host(X6) = index(pendack,host(X5))
& index(status,host(X5)) = elec_2
& index(elid,host(X5)) = X13 )
=> ( leq(nbr_proc,index(pendack,host(X5)))
=> ! [X7] :
( ( host(X7) = host(X6)
| setIn(host(X7),index(acks,host(X5))) )
=> ! [X17] :
( host(X5) = host(X17)
=> ! [X18,X19,X20] :
( host(X7) = host(X20)
=> ( host(X5) != host(X20)
=> ( ( index(status,host(X20)) = elec_1
& host(X18) = s(host(X20))
& elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X5)))
& elem(m_Down(X18),snoc(queue(host(X20)),m_Ldr(X5)))
& leq(nbr_proc,s(host(X20)))
& setIn(X20,alive)
& ! [X21] :
( ( leq(s(zero),X21)
& ~ leq(host(X20),X21) )
=> ( X21 = host(X19)
| setIn(X21,index(down,host(X20))) ) ) )
=> ~ ( host(X5) = host(X17)
& setIn(X17,alive) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8]),c_0_9]) ).
fof(c_0_11,plain,
! [X6,X5,X13,X12] :
( epred1_4(X12,X13,X5,X6)
=> ( queue(host(X5)) = cons(m_Ack(X13,X6),X12)
& ! [X7,X16,X15,X14] :
( ( index(status,host(X14)) = elec_1
& host(X16) = s(host(X14))
& elem(m_Down(X16),queue(host(X14)))
& elem(m_Down(X15),queue(host(X14)))
& leq(nbr_proc,s(host(X14)))
& setIn(X14,alive)
& ! [X17] :
( ( leq(s(zero),X17)
& ~ leq(host(X14),X17) )
=> ( X17 = host(X15)
| setIn(X17,index(down,host(X14))) ) ) )
=> ~ ( index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X7,alive) ) )
& ! [X7,X16,X15,X14] :
( ( index(status,host(X14)) = elec_1
& index(status,host(X7)) = elec_2
& host(X16) = host(X14)
& elem(m_Down(X15),queue(host(X14)))
& leq(host(X7),host(X14))
& setIn(X7,alive)
& ! [X17] :
( ( leq(s(zero),X17)
& ~ leq(host(X14),X17) )
=> ( X17 = host(X15)
| setIn(X17,index(down,host(X14))) ) ) )
=> ~ elem(m_Ack(X7,X16),queue(host(X7))) )
& ! [X7,X15,X14] :
( ( host(index(elid,host(X14))) = host(X15)
& index(status,host(X14)) = wait
& host(X15) = host(X7)
& elem(m_Down(X7),queue(host(X14)))
& setIn(X14,alive)
& host(X14) != host(X15) )
=> ~ ( index(ldr,host(X15)) = host(X15)
& index(status,host(X15)) = norm
& setIn(X15,alive) ) )
& ! [X7,X15,X14] :
( ( index(ldr,host(X14)) = host(X15)
& index(status,host(X14)) = norm
& host(X15) = host(X7)
& elem(m_Down(X7),queue(host(X14)))
& setIn(X14,alive)
& host(X14) != host(X15) )
=> ~ ( index(ldr,host(X15)) = host(X15)
& index(status,host(X15)) = norm
& setIn(X15,alive) ) )
& ! [X7,X16,X15,X14] :
( ( host(X14) = host(X15)
& host(X16) = host(X7)
& setIn(X15,alive)
& setIn(X7,alive)
& host(X15) != host(X7) )
=> ~ ( setIn(host(X16),index(down,host(X15)))
& elem(m_Down(X14),queue(host(X7))) ) )
& ! [X7,X16,X15,X14] :
( ( host(X14) = host(X15)
& host(X16) = host(X7)
& setIn(X15,alive)
& setIn(X7,alive)
& host(X15) != host(X7) )
=> ~ ( elem(m_Down(X16),queue(host(X15)))
& elem(m_Down(X14),queue(host(X7))) ) )
& ! [X7,X15,X14] :
( ( host(X15) = host(X7)
& elem(m_Down(X15),queue(host(X14)))
& setIn(X14,alive)
& ~ leq(host(X15),host(X14)) )
=> ~ ( index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X7,alive) ) )
& ! [X7,X14] :
( ( index(ldr,host(X14)) = host(X14)
& index(status,host(X14)) = norm
& index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X14,alive)
& setIn(X7,alive) )
=> X14 = X7 )
& ! [X7,X15,X14] :
( ( index(ldr,host(X14)) = host(X14)
& index(status,host(X14)) = norm
& host(X15) = host(X14)
& setIn(X14,alive) )
=> ~ ( elem(m_Down(X15),queue(host(X7)))
& setIn(X7,alive) ) )
& ! [X7,X15,X14] :
( ( index(status,host(X14)) = elec_2
& host(X14) = host(X15)
& elem(m_Down(X15),queue(host(X7)))
& setIn(X14,alive)
& setIn(X7,alive) )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X14] :
( ( index(ldr,host(X14)) = host(X14)
& index(status,host(X14)) = norm
& setIn(X14,alive) )
=> ~ ( setIn(host(X14),index(down,host(X7)))
& setIn(X7,alive) ) )
& ! [X7,X14] :
( ( index(status,host(X14)) = elec_2
& setIn(host(X14),index(down,host(X7)))
& setIn(X14,alive)
& setIn(X7,alive) )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7] :
( ( setIn(X7,alive)
& ( index(status,host(X7)) = elec_2
| index(status,host(X7)) = elec_1 ) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X14] :
( ( host(X14) = host(X7)
& X14 != X7 )
=> ( ~ setIn(X14,alive)
| ~ setIn(X7,alive) ) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> host(X14) != host(X7) )
& ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) ) ) ),
inference(split_equiv,[status(thm)],[c_0_9]) ).
fof(c_0_12,negated_conjecture,
! [X160] :
( host(esk7_0) = host(esk10_0)
& setIn(esk10_0,alive)
& index(status,host(esk13_0)) = elec_1
& host(esk11_0) = s(host(esk13_0))
& elem(m_Down(esk12_0),snoc(queue(host(esk13_0)),m_Ldr(esk7_0)))
& elem(m_Down(esk11_0),snoc(queue(host(esk13_0)),m_Ldr(esk7_0)))
& leq(nbr_proc,s(host(esk13_0)))
& setIn(esk13_0,alive)
& ( X160 = host(esk12_0)
| setIn(X160,index(down,host(esk13_0)))
| ~ leq(s(zero),X160)
| leq(host(esk13_0),X160) )
& host(esk7_0) != host(esk13_0)
& host(esk9_0) = host(esk13_0)
& host(esk7_0) = host(esk10_0)
& ( host(esk9_0) = host(esk8_0)
| setIn(host(esk9_0),index(acks,host(esk7_0))) )
& leq(nbr_proc,index(pendack,host(esk7_0)))
& host(esk8_0) = index(pendack,host(esk7_0))
& index(status,host(esk7_0)) = elec_2
& index(elid,host(esk7_0)) = esk6_0
& setIn(esk7_0,alive)
& epred1_4(esk5_0,esk6_0,esk7_0,esk8_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])]) ).
fof(c_0_13,plain,
! [X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X206,X207,X208,X209] :
( ( ~ epred1_4(X164,X163,X162,X161)
| queue(host(X162)) = cons(m_Ack(X163,X161),X164) )
& ( ~ epred1_4(X164,X163,X162,X161)
| index(status,host(X206)) != norm
| index(ldr,host(X206)) != host(X206)
| ~ setIn(X206,alive)
| index(status,host(X209)) != elec_1
| host(X207) != s(host(X209))
| ~ elem(m_Down(X207),queue(host(X209)))
| ~ elem(m_Down(X208),queue(host(X209)))
| ~ leq(nbr_proc,s(host(X209)))
| ~ setIn(X209,alive)
| esk15_8(X161,X162,X163,X164,X206,X207,X208,X209) != host(X208) )
& ( ~ epred1_4(X164,X163,X162,X161)
| index(status,host(X206)) != norm
| index(ldr,host(X206)) != host(X206)
| ~ setIn(X206,alive)
| index(status,host(X209)) != elec_1
| host(X207) != s(host(X209))
| ~ elem(m_Down(X207),queue(host(X209)))
| ~ elem(m_Down(X208),queue(host(X209)))
| ~ leq(nbr_proc,s(host(X209)))
| ~ setIn(X209,alive)
| ~ setIn(esk15_8(X161,X162,X163,X164,X206,X207,X208,X209),index(down,host(X209))) )
& ( ~ epred1_4(X164,X163,X162,X161)
| index(status,host(X206)) != norm
| index(ldr,host(X206)) != host(X206)
| ~ setIn(X206,alive)
| index(status,host(X209)) != elec_1
| host(X207) != s(host(X209))
| ~ elem(m_Down(X207),queue(host(X209)))
| ~ elem(m_Down(X208),queue(host(X209)))
| ~ leq(nbr_proc,s(host(X209)))
| ~ setIn(X209,alive)
| leq(s(zero),esk15_8(X161,X162,X163,X164,X206,X207,X208,X209)) )
& ( ~ epred1_4(X164,X163,X162,X161)
| index(status,host(X206)) != norm
| index(ldr,host(X206)) != host(X206)
| ~ setIn(X206,alive)
| index(status,host(X209)) != elec_1
| host(X207) != s(host(X209))
| ~ elem(m_Down(X207),queue(host(X209)))
| ~ elem(m_Down(X208),queue(host(X209)))
| ~ leq(nbr_proc,s(host(X209)))
| ~ setIn(X209,alive)
| ~ leq(host(X209),esk15_8(X161,X162,X163,X164,X206,X207,X208,X209)) )
& ( ~ epred1_4(X164,X163,X162,X161)
| ~ elem(m_Ack(X201,X202),queue(host(X201)))
| index(status,host(X204)) != elec_1
| index(status,host(X201)) != elec_2
| host(X202) != host(X204)
| ~ elem(m_Down(X203),queue(host(X204)))
| ~ leq(host(X201),host(X204))
| ~ setIn(X201,alive)
| esk14_8(X161,X162,X163,X164,X201,X202,X203,X204) != host(X203) )
& ( ~ epred1_4(X164,X163,X162,X161)
| ~ elem(m_Ack(X201,X202),queue(host(X201)))
| index(status,host(X204)) != elec_1
| index(status,host(X201)) != elec_2
| host(X202) != host(X204)
| ~ elem(m_Down(X203),queue(host(X204)))
| ~ leq(host(X201),host(X204))
| ~ setIn(X201,alive)
| ~ setIn(esk14_8(X161,X162,X163,X164,X201,X202,X203,X204),index(down,host(X204))) )
& ( ~ epred1_4(X164,X163,X162,X161)
| ~ elem(m_Ack(X201,X202),queue(host(X201)))
| index(status,host(X204)) != elec_1
| index(status,host(X201)) != elec_2
| host(X202) != host(X204)
| ~ elem(m_Down(X203),queue(host(X204)))
| ~ leq(host(X201),host(X204))
| ~ setIn(X201,alive)
| leq(s(zero),esk14_8(X161,X162,X163,X164,X201,X202,X203,X204)) )
& ( ~ epred1_4(X164,X163,X162,X161)
| ~ elem(m_Ack(X201,X202),queue(host(X201)))
| index(status,host(X204)) != elec_1
| index(status,host(X201)) != elec_2
| host(X202) != host(X204)
| ~ elem(m_Down(X203),queue(host(X204)))
| ~ leq(host(X201),host(X204))
| ~ setIn(X201,alive)
| ~ leq(host(X204),esk14_8(X161,X162,X163,X164,X201,X202,X203,X204)) )
& ( ~ epred1_4(X164,X163,X162,X161)
| index(ldr,host(X199)) != host(X199)
| index(status,host(X199)) != norm
| ~ setIn(X199,alive)
| host(index(elid,host(X200))) != host(X199)
| index(status,host(X200)) != wait
| host(X199) != host(X198)
| ~ elem(m_Down(X198),queue(host(X200)))
| ~ setIn(X200,alive)
| host(X200) = host(X199) )
& ( ~ epred1_4(X164,X163,X162,X161)
| index(ldr,host(X196)) != host(X196)
| index(status,host(X196)) != norm
| ~ setIn(X196,alive)
| index(ldr,host(X197)) != host(X196)
| index(status,host(X197)) != norm
| host(X196) != host(X195)
| ~ elem(m_Down(X195),queue(host(X197)))
| ~ setIn(X197,alive)
| host(X197) = host(X196) )
& ( ~ epred1_4(X164,X163,X162,X161)
| ~ setIn(host(X192),index(down,host(X193)))
| ~ elem(m_Down(X194),queue(host(X191)))
| host(X194) != host(X193)
| host(X192) != host(X191)
| ~ setIn(X193,alive)
| ~ setIn(X191,alive)
| host(X193) = host(X191) )
& ( ~ epred1_4(X164,X163,X162,X161)
| ~ elem(m_Down(X188),queue(host(X189)))
| ~ elem(m_Down(X190),queue(host(X187)))
| host(X190) != host(X189)
| host(X188) != host(X187)
| ~ setIn(X189,alive)
| ~ setIn(X187,alive)
| host(X189) = host(X187) )
& ( ~ epred1_4(X164,X163,X162,X161)
| index(status,host(X184)) != norm
| index(ldr,host(X184)) != host(X184)
| ~ setIn(X184,alive)
| host(X185) != host(X184)
| ~ elem(m_Down(X185),queue(host(X186)))
| ~ setIn(X186,alive)
| leq(host(X185),host(X186)) )
& ( ~ epred1_4(X164,X163,X162,X161)
| X183 = X182
| index(ldr,host(X183)) != host(X183)
| index(status,host(X183)) != norm
| index(status,host(X182)) != norm
| index(ldr,host(X182)) != host(X182)
| ~ setIn(X183,alive)
| ~ setIn(X182,alive) )
& ( ~ epred1_4(X164,X163,X162,X161)
| ~ elem(m_Down(X180),queue(host(X179)))
| ~ setIn(X179,alive)
| index(ldr,host(X181)) != host(X181)
| index(status,host(X181)) != norm
| host(X180) != host(X181)
| ~ setIn(X181,alive) )
& ( ~ epred1_4(X164,X163,X162,X161)
| leq(index(pendack,host(X178)),host(X176))
| index(status,host(X178)) != elec_2
| host(X178) != host(X177)
| ~ elem(m_Down(X177),queue(host(X176)))
| ~ setIn(X178,alive)
| ~ setIn(X176,alive) )
& ( ~ epred1_4(X164,X163,X162,X161)
| ~ setIn(host(X175),index(down,host(X174)))
| ~ setIn(X174,alive)
| index(ldr,host(X175)) != host(X175)
| index(status,host(X175)) != norm
| ~ setIn(X175,alive) )
& ( ~ epred1_4(X164,X163,X162,X161)
| leq(index(pendack,host(X173)),host(X172))
| index(status,host(X173)) != elec_2
| ~ setIn(host(X173),index(down,host(X172)))
| ~ setIn(X173,alive)
| ~ setIn(X172,alive) )
& ( ~ epred1_4(X164,X163,X162,X161)
| index(elid,host(X171)) = X171
| ~ setIn(X171,alive)
| index(status,host(X171)) != elec_2 )
& ( ~ epred1_4(X164,X163,X162,X161)
| index(elid,host(X171)) = X171
| ~ setIn(X171,alive)
| index(status,host(X171)) != elec_1 )
& ( ~ epred1_4(X164,X163,X162,X161)
| ~ setIn(X170,alive)
| ~ setIn(X169,alive)
| host(X170) != host(X169)
| X170 = X169 )
& ( ~ epred1_4(X164,X163,X162,X161)
| host(X168) != host(X167)
| ~ elem(m_Down(X168),queue(host(X167))) )
& ( ~ epred1_4(X164,X163,X162,X161)
| ~ leq(host(X165),host(X166))
| ~ elem(m_Ldr(X166),queue(host(X165))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])]) ).
fof(c_0_14,plain,
! [X5,X6] : m_Down(X5) != m_Ldr(X6),
inference(fof_simplification,[status(thm)],[axiom_18]) ).
fof(c_0_15,plain,
! [X141,X142] :
( ( X141 != X142
| leq(X142,X141) )
& ( X141 != X142
| leq(X141,X142) )
& ( X141 = X142
| ~ leq(X142,X141)
| ~ leq(X141,X142) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])])]) ).
cnf(c_0_16,negated_conjecture,
leq(nbr_proc,s(host(esk13_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
host(esk11_0) = s(host(esk13_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_18,plain,
! [X27] : leq(host(X27),nbr_proc),
inference(variable_rename,[status(thm)],[axiom_04]) ).
cnf(c_0_19,plain,
( ~ epred1_4(X2,X3,X4,X5)
| ~ setIn(X1,alive)
| index(status,host(X1)) != elec_2
| index(elid,host(X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
epred1_4(esk5_0,esk6_0,esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_21,plain,
! [X105,X106,X107] :
( ( elem(X105,snoc(X107,X106))
| ~ elem(X105,X107) )
& ( elem(X105,snoc(X107,X106))
| X105 != X106 )
& ( elem(X105,X107)
| X105 = X106
| ~ elem(X105,snoc(X107,X106)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_47])])])]) ).
fof(c_0_22,plain,
! [X47,X48] : m_Down(X47) != m_Ldr(X48),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_14])]) ).
fof(c_0_23,plain,
! [X5] : ~ leq(s(X5),X5),
inference(fof_simplification,[status(thm)],[axiom_58]) ).
cnf(c_0_24,plain,
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,negated_conjecture,
leq(nbr_proc,host(esk11_0)),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_26,plain,
leq(host(X1),nbr_proc),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,negated_conjecture,
index(elid,host(esk7_0)) = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_28,negated_conjecture,
( ~ setIn(X1,alive)
| index(status,host(X1)) != elec_2
| index(elid,host(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_29,negated_conjecture,
index(status,host(esk7_0)) = elec_2,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
setIn(esk7_0,alive),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,negated_conjecture,
leq(nbr_proc,index(pendack,host(esk7_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,negated_conjecture,
host(esk8_0) = index(pendack,host(esk7_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,plain,
( ~ elem(X1,snoc(X2,X3))
| elem(X1,X2)
| X1 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,negated_conjecture,
elem(m_Down(esk12_0),snoc(queue(host(esk13_0)),m_Ldr(esk7_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_35,plain,
m_Down(X1) != m_Ldr(X2),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_36,plain,
! [X137] : ~ leq(s(X137),X137),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_23])]) ).
fof(c_0_37,plain,
! [X148,X149] :
( ( leq(X148,s(X149))
| ~ leq(X148,X149) )
& ( leq(X148,s(X149))
| X148 != s(X149) )
& ( leq(X148,X149)
| X148 = s(X149)
| ~ leq(X148,s(X149)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])])]) ).
cnf(c_0_38,negated_conjecture,
host(esk11_0) = nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_39,negated_conjecture,
esk6_0 = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]) ).
cnf(c_0_40,negated_conjecture,
leq(nbr_proc,host(esk8_0)),
inference(rw,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_41,plain,
( ~ epred1_4(X4,X5,X6,X7)
| index(status,host(X2)) != elec_2
| host(X2) != host(X3)
| ~ elem(m_Down(X3),queue(host(X1)))
| ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(X2)),host(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_42,negated_conjecture,
elem(m_Down(esk12_0),queue(host(esk13_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_43,negated_conjecture,
setIn(esk13_0,alive),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_44,plain,
~ leq(s(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,negated_conjecture,
elem(m_Down(esk11_0),snoc(queue(host(esk13_0)),m_Ldr(esk7_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_46,plain,
( ~ leq(X1,s(X2))
| leq(X1,X2)
| X1 = s(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,negated_conjecture,
s(host(esk13_0)) = nbr_proc,
inference(rw,[status(thm)],[c_0_17,c_0_38]) ).
cnf(c_0_48,plain,
( ~ epred1_4(X3,X4,X5,X6)
| index(status,host(X2)) != elec_2
| ~ setIn(host(X2),index(down,host(X1)))
| ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(X2)),host(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_49,negated_conjecture,
epred1_4(esk5_0,esk7_0,esk7_0,esk8_0),
inference(rw,[status(thm)],[c_0_20,c_0_39]) ).
cnf(c_0_50,negated_conjecture,
host(esk8_0) = nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_40]),c_0_26])]) ).
cnf(c_0_51,negated_conjecture,
( ~ setIn(X1,alive)
| ~ epred1_4(X2,X3,X4,X5)
| host(X1) != host(esk12_0)
| index(status,host(X1)) != elec_2
| leq(index(pendack,host(X1)),host(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_52,negated_conjecture,
~ leq(host(esk11_0),host(esk13_0)),
inference(spm,[status(thm)],[c_0_44,c_0_17]) ).
cnf(c_0_53,negated_conjecture,
elem(m_Down(esk11_0),queue(host(esk13_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_45]),c_0_35]) ).
cnf(c_0_54,negated_conjecture,
( ~ leq(X1,nbr_proc)
| leq(X1,host(esk13_0))
| X1 = nbr_proc ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_55,plain,
( ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| ~ setIn(host(X1),index(down,host(X2)))
| index(status,host(X1)) != elec_2
| leq(index(pendack,host(X1)),host(X2)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
index(pendack,host(esk7_0)) = nbr_proc,
inference(rw,[status(thm)],[c_0_32,c_0_50]) ).
fof(c_0_57,plain,
! [X26] : leq(s(zero),host(X26)),
inference(variable_rename,[status(thm)],[axiom_02]) ).
cnf(c_0_58,negated_conjecture,
( ~ setIn(X1,alive)
| host(X1) != host(esk12_0)
| index(status,host(X1)) != elec_2
| leq(index(pendack,host(X1)),host(esk13_0)) ),
inference(spm,[status(thm)],[c_0_51,c_0_49]) ).
cnf(c_0_59,negated_conjecture,
~ leq(nbr_proc,host(esk13_0)),
inference(rw,[status(thm)],[c_0_52,c_0_38]) ).
cnf(c_0_60,negated_conjecture,
( ~ setIn(X1,alive)
| ~ epred1_4(X2,X3,X4,X5)
| host(X1) != nbr_proc
| index(status,host(X1)) != elec_2
| leq(index(pendack,host(X1)),host(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_53]),c_0_38]),c_0_43])]) ).
cnf(c_0_61,negated_conjecture,
( leq(host(X1),host(esk13_0))
| host(X1) = nbr_proc ),
inference(spm,[status(thm)],[c_0_54,c_0_26]) ).
cnf(c_0_62,negated_conjecture,
( ~ setIn(X1,alive)
| ~ setIn(host(esk7_0),index(down,host(X1)))
| leq(nbr_proc,host(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_29]),c_0_30])]) ).
cnf(c_0_63,negated_conjecture,
( ~ leq(s(zero),X1)
| X1 = host(esk12_0)
| setIn(X1,index(down,host(esk13_0)))
| leq(host(esk13_0),X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_64,plain,
leq(s(zero),host(X1)),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_65,negated_conjecture,
host(esk12_0) != host(esk7_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_56]),c_0_29]),c_0_30])]),c_0_59]) ).
cnf(c_0_66,negated_conjecture,
( ~ setIn(X1,alive)
| host(X1) != nbr_proc
| index(status,host(X1)) != elec_2
| leq(index(pendack,host(X1)),host(esk13_0)) ),
inference(spm,[status(thm)],[c_0_60,c_0_49]) ).
cnf(c_0_67,negated_conjecture,
( ~ leq(host(esk13_0),host(X1))
| host(X1) = nbr_proc
| host(esk13_0) = host(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
leq(host(esk13_0),host(esk7_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_43]),c_0_64])]),c_0_59]),c_0_65]) ).
cnf(c_0_69,negated_conjecture,
host(esk7_0) != host(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_70,negated_conjecture,
nbr_proc != host(esk7_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_56]),c_0_29]),c_0_30])]),c_0_59]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_70]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV475+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:53:25 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 75.80/11.48 % Version: 3.5.1
% 75.80/11.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 75.80/11.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 75.80/11.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 75.80/11.48 % Starting new_bool_3 with 300s (1) cores
% 75.80/11.48 % Starting new_bool_1 with 300s (1) cores
% 75.80/11.48 % Starting sh5l with 300s (1) cores
% 75.80/11.48 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 527710 completed with status 0
% 75.80/11.48 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 75.80/11.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 75.80/11.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 75.80/11.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 75.80/11.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 75.80/11.48 % No SInE strategy applied
% 75.80/11.48 % Search class: FGHSM-FFLM31-MFFFFFNN
% 75.80/11.48 % Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 75.80/11.48 % Starting SubtermCWHack with 136s (1) cores
% 75.80/11.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 75.80/11.48 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 75.80/11.48 % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 75.80/11.48 % Starting G-E--_200_B07_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 75.80/11.48 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 527727 completed with status 0
% 75.80/11.48 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 75.80/11.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 75.80/11.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 75.80/11.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 75.80/11.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 75.80/11.48 % No SInE strategy applied
% 75.80/11.48 % Search class: FGHSM-FFLM31-MFFFFFNN
% 75.80/11.48 % Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 75.80/11.48 % Starting SubtermCWHack with 136s (1) cores
% 75.80/11.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 75.80/11.48 % Preprocessing time : 0.004 s
% 75.80/11.48 % Presaturation interreduction done
% 75.80/11.48
% 75.80/11.48 % Proof found!
% 75.80/11.48 % SZS status Theorem
% 75.80/11.48 % SZS output start CNFRefutation
% See solution above
% 75.80/11.48 % Parsed axioms : 67
% 75.80/11.48 % Removed by relevancy pruning/SinE : 0
% 75.80/11.48 % Initial clauses : 139
% 75.80/11.48 % Removed in clause preprocessing : 6
% 75.80/11.48 % Initial clauses in saturation : 133
% 75.80/11.48 % Processed clauses : 26531
% 75.80/11.48 % ...of these trivial : 204
% 75.80/11.48 % ...subsumed : 22722
% 75.80/11.48 % ...remaining for further processing : 3605
% 75.80/11.48 % Other redundant clauses eliminated : 42
% 75.80/11.48 % Clauses deleted for lack of memory : 0
% 75.80/11.48 % Backward-subsumed : 371
% 75.80/11.48 % Backward-rewritten : 38
% 75.80/11.48 % Generated clauses : 650229
% 75.80/11.48 % ...of the previous two non-redundant : 394922
% 75.80/11.48 % ...aggressively subsumed : 0
% 75.80/11.48 % Contextual simplify-reflections : 32
% 75.80/11.48 % Paramodulations : 650057
% 75.80/11.48 % Factorizations : 122
% 75.80/11.48 % NegExts : 0
% 75.80/11.48 % Equation resolutions : 50
% 75.80/11.48 % Disequality decompositions : 0
% 75.80/11.48 % Total rewrite steps : 338737
% 75.80/11.48 % ...of those cached : 337929
% 75.80/11.48 % Propositional unsat checks : 0
% 75.80/11.48 % Propositional check models : 0
% 75.80/11.48 % Propositional check unsatisfiable : 0
% 75.80/11.48 % Propositional clauses : 0
% 75.80/11.48 % Propositional clauses after purity: 0
% 75.80/11.48 % Propositional unsat core size : 0
% 75.80/11.48 % Propositional preprocessing time : 0.000
% 75.80/11.48 % Propositional encoding time : 0.000
% 75.80/11.48 % Propositional solver time : 0.000
% 75.80/11.48 % Success case prop preproc time : 0.000
% 75.80/11.48 % Success case prop encoding time : 0.000
% 75.80/11.48 % Success case prop solver time : 0.000
% 75.80/11.48 % Current number of processed clauses : 3064
% 75.80/11.48 % Positive orientable unit clauses : 153
% 75.80/11.48 % Positive unorientable unit clauses: 0
% 75.80/11.48 % Negative unit clauses : 145
% 75.80/11.48 % Non-unit-clauses : 2766
% 75.80/11.48 % Current number of unprocessed clauses: 367399
% 75.80/11.48 % ...number of literals in the above : 1521764
% 75.80/11.48 % Current number of archived formulas : 0
% 75.80/11.48 % Current number of archived clauses : 534
% 75.80/11.48 % Clause-clause subsumption calls (NU) : 4786291
% 75.80/11.48 % Rec. Clause-clause subsumption calls : 1904851
% 75.80/11.48 % Non-unit clause-clause subsumptions : 11258
% 75.80/11.48 % Unit Clause-clause subsumption calls : 68249
% 75.80/11.48 % Rewrite failures with RHS unbound : 0
% 75.80/11.48 % BW rewrite match attempts : 1811
% 75.80/11.48 % BW rewrite match successes : 33
% 75.80/11.48 % Condensation attempts : 0
% 75.80/11.48 % Condensation successes : 0
% 75.80/11.48 % Termbank termtop insertions : 10810358
% 75.80/11.48 % Search garbage collected termcells : 2432
% 75.80/11.48
% 75.80/11.48 % -------------------------------------------------
% 75.80/11.48 % User time : 10.542 s
% 75.80/11.48 % System time : 0.272 s
% 75.80/11.48 % Total time : 10.814 s
% 75.80/11.48 % Maximum resident set size: 4256 pages
% 75.80/11.48
% 75.80/11.48 % -------------------------------------------------
% 75.80/11.48 % User time : 52.283 s
% 75.80/11.48 % System time : 1.409 s
% 75.80/11.48 % Total time : 53.691 s
% 75.80/11.48 % Maximum resident set size: 4864 pages
% 75.80/11.48 % E exiting
%------------------------------------------------------------------------------