%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV480+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 02:55:37 PM UTC 2026
% Result : Theorem 85.70s 13.04s
% Output : CNFRefutation 85.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 74 ( 37 unt; 0 def)
% Number of atoms : 827 ( 362 equ)
% Maximal formula atoms : 179 ( 11 avg)
% Number of connectives : 1090 ( 337 ~; 242 |; 402 &)
% ( 4 <=>; 105 =>; 0 <=; 0 <~>)
% Maximal formula depth : 82 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 21 con; 0-7 aty)
% Number of variables : 349 ( 25 sgn 295 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj,conjecture,
! [X12,X13,X5,X6] :
( ( queue(host(X5)) = cons(m_Down(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)
=> ( leq(host(X5),host(X6))
=> ( ( host(X6) = index(pendack,host(X5))
& index(status,host(X5)) = elec_2 )
=> ( leq(nbr_proc,index(pendack,host(X5)))
=> ! [X7] :
( ~ setIn(host(X7),index(acks,host(X5)))
=> ! [X17] :
( host(X5) = host(X17)
=> ! [X18,X19,X20] :
( host(X5) != host(X20)
=> ( ( index(status,host(X20)) = elec_1
& host(X18) = s(host(X20))
& elem(m_Down(X19),queue(host(X20)))
& elem(m_Down(X18),queue(host(X20)))
& 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/sandbox/benchmark/theBenchmark.p',conj) ).
fof(axiom_61,axiom,
! [X5,X6] :
( ( leq(X6,X5)
& leq(X5,X6) )
<=> X5 = X6 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(axiom_04,axiom,
! [X3] : leq(host(X3),nbr_proc),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(axiom_01,axiom,
! [X3,X4] :
( s(host(X3)) = host(X4)
=> host(X3) != host(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_01) ).
fof(axiom_64,axiom,
! [X5,X6] :
( leq(X5,s(X6))
<=> ( leq(X5,X6)
| X5 = s(X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
fof(axiom_58,axiom,
! [X5] : ~ leq(s(X5),X5),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
fof(axiom_46,axiom,
! [X5,X6,X4] :
( elem(X5,cons(X6,X4))
<=> ( elem(X5,X4)
| X5 = X6 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(axiom_02,axiom,
! [X3] : leq(s(zero),host(X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(c_0_8,negated_conjecture,
~ ! [X12,X13,X5,X6] :
( ( queue(host(X5)) = cons(m_Down(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)
=> ( leq(host(X5),host(X6))
=> ( ( host(X6) = index(pendack,host(X5))
& index(status,host(X5)) = elec_2 )
=> ( leq(nbr_proc,index(pendack,host(X5)))
=> ! [X7] :
( ~ setIn(host(X7),index(acks,host(X5)))
=> ! [X17] :
( host(X5) = host(X17)
=> ! [X18,X19,X20] :
( host(X5) != host(X20)
=> ( ( index(status,host(X20)) = elec_1
& host(X18) = s(host(X20))
& elem(m_Down(X19),queue(host(X20)))
& elem(m_Down(X18),queue(host(X20)))
& 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,X12] :
( epred1_3(X12,X5,X6)
<=> ( queue(host(X5)) = cons(m_Down(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_3(X12,X5,X6)
=> ( setIn(X5,alive)
=> ( leq(host(X5),host(X6))
=> ( ( host(X6) = index(pendack,host(X5))
& index(status,host(X5)) = elec_2 )
=> ( leq(nbr_proc,index(pendack,host(X5)))
=> ! [X7] :
( ~ setIn(host(X7),index(acks,host(X5)))
=> ! [X17] :
( host(X5) = host(X17)
=> ! [X18,X19,X20] :
( host(X5) != host(X20)
=> ( ( index(status,host(X20)) = elec_1
& host(X18) = s(host(X20))
& elem(m_Down(X19),queue(host(X20)))
& elem(m_Down(X18),queue(host(X20)))
& 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,negated_conjecture,
! [X159] :
( host(esk6_0) = host(esk9_0)
& setIn(esk9_0,alive)
& index(status,host(esk12_0)) = elec_1
& host(esk10_0) = s(host(esk12_0))
& elem(m_Down(esk11_0),queue(host(esk12_0)))
& elem(m_Down(esk10_0),queue(host(esk12_0)))
& leq(nbr_proc,s(host(esk12_0)))
& setIn(esk12_0,alive)
& ( X159 = host(esk11_0)
| setIn(X159,index(down,host(esk12_0)))
| ~ leq(s(zero),X159)
| leq(host(esk12_0),X159) )
& host(esk6_0) != host(esk12_0)
& host(esk6_0) = host(esk9_0)
& ~ setIn(host(esk8_0),index(acks,host(esk6_0)))
& leq(nbr_proc,index(pendack,host(esk6_0)))
& host(esk7_0) = index(pendack,host(esk6_0))
& index(status,host(esk6_0)) = elec_2
& leq(host(esk6_0),host(esk7_0))
& setIn(esk6_0,alive)
& epred1_3(esk5_0,esk6_0,esk7_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)],[inference(fof_simplification,[status(thm)],[c_0_10])])])])])]) ).
fof(c_0_12,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_13,negated_conjecture,
leq(nbr_proc,s(host(esk12_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
host(esk10_0) = s(host(esk12_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X27] : leq(host(X27),nbr_proc),
inference(variable_rename,[status(thm)],[axiom_04]) ).
fof(c_0_16,plain,
! [X6,X5,X12] :
( epred1_3(X12,X5,X6)
=> ( queue(host(X5)) = cons(m_Down(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_17,plain,
! [X3,X4] :
( s(host(X3)) = host(X4)
=> host(X3) != host(X4) ),
inference(fof_simplification,[status(thm)],[axiom_01]) ).
cnf(c_0_18,plain,
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
leq(nbr_proc,host(esk10_0)),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
leq(host(X1),nbr_proc),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X160,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,X204,X205,X206,X207] :
( ( ~ epred1_3(X162,X161,X160)
| queue(host(X161)) = cons(m_Down(X160),X162) )
& ( ~ epred1_3(X162,X161,X160)
| index(status,host(X204)) != norm
| index(ldr,host(X204)) != host(X204)
| ~ setIn(X204,alive)
| index(status,host(X207)) != elec_1
| host(X205) != s(host(X207))
| ~ elem(m_Down(X205),queue(host(X207)))
| ~ elem(m_Down(X206),queue(host(X207)))
| ~ leq(nbr_proc,s(host(X207)))
| ~ setIn(X207,alive)
| esk14_7(X160,X161,X162,X204,X205,X206,X207) != host(X206) )
& ( ~ epred1_3(X162,X161,X160)
| index(status,host(X204)) != norm
| index(ldr,host(X204)) != host(X204)
| ~ setIn(X204,alive)
| index(status,host(X207)) != elec_1
| host(X205) != s(host(X207))
| ~ elem(m_Down(X205),queue(host(X207)))
| ~ elem(m_Down(X206),queue(host(X207)))
| ~ leq(nbr_proc,s(host(X207)))
| ~ setIn(X207,alive)
| ~ setIn(esk14_7(X160,X161,X162,X204,X205,X206,X207),index(down,host(X207))) )
& ( ~ epred1_3(X162,X161,X160)
| index(status,host(X204)) != norm
| index(ldr,host(X204)) != host(X204)
| ~ setIn(X204,alive)
| index(status,host(X207)) != elec_1
| host(X205) != s(host(X207))
| ~ elem(m_Down(X205),queue(host(X207)))
| ~ elem(m_Down(X206),queue(host(X207)))
| ~ leq(nbr_proc,s(host(X207)))
| ~ setIn(X207,alive)
| leq(s(zero),esk14_7(X160,X161,X162,X204,X205,X206,X207)) )
& ( ~ epred1_3(X162,X161,X160)
| index(status,host(X204)) != norm
| index(ldr,host(X204)) != host(X204)
| ~ setIn(X204,alive)
| index(status,host(X207)) != elec_1
| host(X205) != s(host(X207))
| ~ elem(m_Down(X205),queue(host(X207)))
| ~ elem(m_Down(X206),queue(host(X207)))
| ~ leq(nbr_proc,s(host(X207)))
| ~ setIn(X207,alive)
| ~ leq(host(X207),esk14_7(X160,X161,X162,X204,X205,X206,X207)) )
& ( ~ epred1_3(X162,X161,X160)
| ~ elem(m_Ack(X199,X200),queue(host(X199)))
| index(status,host(X202)) != elec_1
| index(status,host(X199)) != elec_2
| host(X200) != host(X202)
| ~ elem(m_Down(X201),queue(host(X202)))
| ~ leq(host(X199),host(X202))
| ~ setIn(X199,alive)
| esk13_7(X160,X161,X162,X199,X200,X201,X202) != host(X201) )
& ( ~ epred1_3(X162,X161,X160)
| ~ elem(m_Ack(X199,X200),queue(host(X199)))
| index(status,host(X202)) != elec_1
| index(status,host(X199)) != elec_2
| host(X200) != host(X202)
| ~ elem(m_Down(X201),queue(host(X202)))
| ~ leq(host(X199),host(X202))
| ~ setIn(X199,alive)
| ~ setIn(esk13_7(X160,X161,X162,X199,X200,X201,X202),index(down,host(X202))) )
& ( ~ epred1_3(X162,X161,X160)
| ~ elem(m_Ack(X199,X200),queue(host(X199)))
| index(status,host(X202)) != elec_1
| index(status,host(X199)) != elec_2
| host(X200) != host(X202)
| ~ elem(m_Down(X201),queue(host(X202)))
| ~ leq(host(X199),host(X202))
| ~ setIn(X199,alive)
| leq(s(zero),esk13_7(X160,X161,X162,X199,X200,X201,X202)) )
& ( ~ epred1_3(X162,X161,X160)
| ~ elem(m_Ack(X199,X200),queue(host(X199)))
| index(status,host(X202)) != elec_1
| index(status,host(X199)) != elec_2
| host(X200) != host(X202)
| ~ elem(m_Down(X201),queue(host(X202)))
| ~ leq(host(X199),host(X202))
| ~ setIn(X199,alive)
| ~ leq(host(X202),esk13_7(X160,X161,X162,X199,X200,X201,X202)) )
& ( ~ epred1_3(X162,X161,X160)
| index(ldr,host(X197)) != host(X197)
| index(status,host(X197)) != norm
| ~ setIn(X197,alive)
| host(index(elid,host(X198))) != host(X197)
| index(status,host(X198)) != wait
| host(X197) != host(X196)
| ~ elem(m_Down(X196),queue(host(X198)))
| ~ setIn(X198,alive)
| host(X198) = host(X197) )
& ( ~ epred1_3(X162,X161,X160)
| index(ldr,host(X194)) != host(X194)
| index(status,host(X194)) != norm
| ~ setIn(X194,alive)
| index(ldr,host(X195)) != host(X194)
| index(status,host(X195)) != norm
| host(X194) != host(X193)
| ~ elem(m_Down(X193),queue(host(X195)))
| ~ setIn(X195,alive)
| host(X195) = host(X194) )
& ( ~ epred1_3(X162,X161,X160)
| ~ setIn(host(X190),index(down,host(X191)))
| ~ elem(m_Down(X192),queue(host(X189)))
| host(X192) != host(X191)
| host(X190) != host(X189)
| ~ setIn(X191,alive)
| ~ setIn(X189,alive)
| host(X191) = host(X189) )
& ( ~ epred1_3(X162,X161,X160)
| ~ elem(m_Down(X186),queue(host(X187)))
| ~ elem(m_Down(X188),queue(host(X185)))
| host(X188) != host(X187)
| host(X186) != host(X185)
| ~ setIn(X187,alive)
| ~ setIn(X185,alive)
| host(X187) = host(X185) )
& ( ~ epred1_3(X162,X161,X160)
| index(status,host(X182)) != norm
| index(ldr,host(X182)) != host(X182)
| ~ setIn(X182,alive)
| host(X183) != host(X182)
| ~ elem(m_Down(X183),queue(host(X184)))
| ~ setIn(X184,alive)
| leq(host(X183),host(X184)) )
& ( ~ epred1_3(X162,X161,X160)
| X181 = X180
| index(ldr,host(X181)) != host(X181)
| index(status,host(X181)) != norm
| index(status,host(X180)) != norm
| index(ldr,host(X180)) != host(X180)
| ~ setIn(X181,alive)
| ~ setIn(X180,alive) )
& ( ~ epred1_3(X162,X161,X160)
| ~ elem(m_Down(X178),queue(host(X177)))
| ~ setIn(X177,alive)
| index(ldr,host(X179)) != host(X179)
| index(status,host(X179)) != norm
| host(X178) != host(X179)
| ~ setIn(X179,alive) )
& ( ~ epred1_3(X162,X161,X160)
| leq(index(pendack,host(X176)),host(X174))
| index(status,host(X176)) != elec_2
| host(X176) != host(X175)
| ~ elem(m_Down(X175),queue(host(X174)))
| ~ setIn(X176,alive)
| ~ setIn(X174,alive) )
& ( ~ epred1_3(X162,X161,X160)
| ~ setIn(host(X173),index(down,host(X172)))
| ~ setIn(X172,alive)
| index(ldr,host(X173)) != host(X173)
| index(status,host(X173)) != norm
| ~ setIn(X173,alive) )
& ( ~ epred1_3(X162,X161,X160)
| leq(index(pendack,host(X171)),host(X170))
| index(status,host(X171)) != elec_2
| ~ setIn(host(X171),index(down,host(X170)))
| ~ setIn(X171,alive)
| ~ setIn(X170,alive) )
& ( ~ epred1_3(X162,X161,X160)
| index(elid,host(X169)) = X169
| ~ setIn(X169,alive)
| index(status,host(X169)) != elec_2 )
& ( ~ epred1_3(X162,X161,X160)
| index(elid,host(X169)) = X169
| ~ setIn(X169,alive)
| index(status,host(X169)) != elec_1 )
& ( ~ epred1_3(X162,X161,X160)
| ~ setIn(X168,alive)
| ~ setIn(X167,alive)
| host(X168) != host(X167)
| X168 = X167 )
& ( ~ epred1_3(X162,X161,X160)
| host(X166) != host(X165)
| ~ elem(m_Down(X166),queue(host(X165))) )
& ( ~ epred1_3(X162,X161,X160)
| ~ leq(host(X163),host(X164))
| ~ elem(m_Ldr(X164),queue(host(X163))) ) ),
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_16])])])])])]) ).
cnf(c_0_22,negated_conjecture,
leq(nbr_proc,index(pendack,host(esk6_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,negated_conjecture,
host(esk7_0) = index(pendack,host(esk6_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_24,plain,
! [X24,X25] :
( host(X24) != host(X25)
| s(host(X24)) != host(X25) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_25,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_26,negated_conjecture,
host(esk10_0) = nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_27,plain,
( ~ epred1_3(X3,X4,X5)
| 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_21]) ).
cnf(c_0_28,negated_conjecture,
epred1_3(esk5_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,negated_conjecture,
leq(nbr_proc,host(esk7_0)),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,plain,
( host(X1) != host(X2)
| s(host(X1)) != host(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_31,plain,
! [X5] : ~ leq(s(X5),X5),
inference(fof_simplification,[status(thm)],[axiom_58]) ).
cnf(c_0_32,plain,
( ~ leq(X1,s(X2))
| leq(X1,X2)
| X1 = s(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,negated_conjecture,
s(host(esk12_0)) = nbr_proc,
inference(rw,[status(thm)],[c_0_14,c_0_26]) ).
cnf(c_0_34,negated_conjecture,
( ~ 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_27,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
host(esk7_0) = nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_29]),c_0_20])]) ).
cnf(c_0_36,negated_conjecture,
( host(esk12_0) != host(X1)
| host(esk10_0) != host(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_14]) ).
fof(c_0_37,plain,
! [X137] : ~ leq(s(X137),X137),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_31])]) ).
fof(c_0_38,plain,
! [X102,X103,X104] :
( ( elem(X102,cons(X103,X104))
| ~ elem(X102,X104) )
& ( elem(X102,cons(X103,X104))
| X102 != X103 )
& ( elem(X102,X104)
| X102 = X103
| ~ elem(X102,cons(X103,X104)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])])]) ).
cnf(c_0_39,negated_conjecture,
( ~ leq(X1,nbr_proc)
| leq(X1,host(esk12_0))
| X1 = nbr_proc ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| ~ setIn(host(X2),index(down,host(X1)))
| ~ leq(host(X1),index(pendack,host(X2)))
| index(status,host(X2)) != elec_2
| host(X1) = index(pendack,host(X2)) ),
inference(spm,[status(thm)],[c_0_18,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
index(pendack,host(esk6_0)) = nbr_proc,
inference(rw,[status(thm)],[c_0_23,c_0_35]) ).
cnf(c_0_42,negated_conjecture,
index(status,host(esk6_0)) = elec_2,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_43,negated_conjecture,
setIn(esk6_0,alive),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_44,plain,
! [X26] : leq(s(zero),host(X26)),
inference(variable_rename,[status(thm)],[axiom_02]) ).
cnf(c_0_45,negated_conjecture,
host(esk10_0) != host(esk12_0),
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_46,plain,
( ~ epred1_3(X4,X5,X6)
| 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_21]) ).
cnf(c_0_47,negated_conjecture,
elem(m_Down(esk11_0),queue(host(esk12_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_48,negated_conjecture,
setIn(esk12_0,alive),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_49,plain,
~ leq(s(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_50,plain,
( X1 != X2
| elem(X1,cons(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_51,plain,
( ~ epred1_3(X3,X1,X2)
| queue(host(X1)) = cons(m_Down(X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_52,negated_conjecture,
( leq(host(X1),host(esk12_0))
| host(X1) = nbr_proc ),
inference(spm,[status(thm)],[c_0_39,c_0_20]) ).
cnf(c_0_53,negated_conjecture,
( ~ setIn(X1,alive)
| ~ setIn(host(esk6_0),index(down,host(X1)))
| host(X1) = nbr_proc ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_20]),c_0_43])]) ).
cnf(c_0_54,negated_conjecture,
( ~ leq(s(zero),X1)
| X1 = host(esk11_0)
| setIn(X1,index(down,host(esk12_0)))
| leq(host(esk12_0),X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_55,plain,
leq(s(zero),host(X1)),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,negated_conjecture,
nbr_proc != host(esk12_0),
inference(rw,[status(thm)],[c_0_45,c_0_26]) ).
cnf(c_0_57,negated_conjecture,
( ~ setIn(X1,alive)
| ~ epred1_3(X2,X3,X4)
| host(X1) != host(esk11_0)
| index(status,host(X1)) != elec_2
| leq(index(pendack,host(X1)),host(esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_58,negated_conjecture,
~ leq(host(esk10_0),host(esk12_0)),
inference(spm,[status(thm)],[c_0_49,c_0_14]) ).
cnf(c_0_59,plain,
elem(X1,cons(X1,X2)),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_60,negated_conjecture,
cons(m_Down(esk7_0),esk5_0) = queue(host(esk6_0)),
inference(spm,[status(thm)],[c_0_51,c_0_28]) ).
cnf(c_0_61,negated_conjecture,
( ~ leq(host(esk12_0),host(X1))
| host(X1) = nbr_proc
| host(esk12_0) = host(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_52]) ).
cnf(c_0_62,negated_conjecture,
( leq(host(esk12_0),host(esk6_0))
| host(esk11_0) = host(esk6_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_48]),c_0_55])]),c_0_56]) ).
cnf(c_0_63,negated_conjecture,
host(esk6_0) != host(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_64,negated_conjecture,
( ~ setIn(X1,alive)
| host(X1) != host(esk11_0)
| index(status,host(X1)) != elec_2
| leq(index(pendack,host(X1)),host(esk12_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_28]) ).
cnf(c_0_65,negated_conjecture,
~ leq(nbr_proc,host(esk12_0)),
inference(rw,[status(thm)],[c_0_58,c_0_26]) ).
cnf(c_0_66,plain,
( ~ epred1_3(X3,X4,X5)
| host(X1) != host(X2)
| ~ elem(m_Down(X1),queue(host(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_67,negated_conjecture,
elem(m_Down(esk7_0),queue(host(esk6_0))),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,negated_conjecture,
( nbr_proc = host(esk6_0)
| host(esk11_0) = host(esk6_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_69,negated_conjecture,
host(esk11_0) != host(esk6_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_41]),c_0_42]),c_0_43])]),c_0_65]) ).
cnf(c_0_70,plain,
( ~ epred1_3(X1,X2,X3)
| nbr_proc != host(esk6_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_35]) ).
cnf(c_0_71,negated_conjecture,
nbr_proc = host(esk6_0),
inference(sr,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,plain,
~ epred1_3(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]) ).
cnf(c_0_73,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_28,c_0_72]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV480+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.49 % Computer : n002.cluster.edu
% 0.19/0.49 % Model : x86_64 x86_64
% 0.19/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.49 % Memory : 8046.5625MB
% 0.19/0.49 % OS : Linux 6.8.0-71-generic
% 0.19/0.49 % CPULimit : 300
% 0.19/0.49 % WCLimit : 300
% 0.19/0.49 % DateTime : Mon Sep 21 08:56:16 UTC 2026
% 0.19/0.50 % CPUTime :
% 0.19/0.50 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.58 Running first-order theorem proving
% 0.24/0.58 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 85.70/13.04 % Version: 3.5.1
% 85.70/13.04 % Preprocessing class: FSLSSMSMSSSNFFN.
% 85.70/13.04 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.70/13.04 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 85.70/13.04 % Starting new_bool_3 with 300s (1) cores
% 85.70/13.04 % Starting new_bool_1 with 300s (1) cores
% 85.70/13.04 % Starting sh5l with 300s (1) cores
% 85.70/13.04 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2926636 completed with status 0
% 85.70/13.04 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 85.70/13.04 % Preprocessing class: FSLSSMSMSSSNFFN.
% 85.70/13.04 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.70/13.04 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 85.70/13.04 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 85.70/13.04 % No SInE strategy applied
% 85.70/13.04 % Search class: FGHSM-FFLM31-MFFFFFNN
% 85.70/13.04 % Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 85.70/13.04 % Starting SubtermCWHack with 136s (1) cores
% 85.70/13.04 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 85.70/13.04 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 85.70/13.04 % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 85.70/13.04 % Starting G-E--_200_B07_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 85.70/13.04 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2926641 completed with status 0
% 85.70/13.04 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 85.70/13.04 % Preprocessing class: FSLSSMSMSSSNFFN.
% 85.70/13.04 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.70/13.04 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 85.70/13.04 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 85.70/13.04 % No SInE strategy applied
% 85.70/13.04 % Search class: FGHSM-FFLM31-MFFFFFNN
% 85.70/13.04 % Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 85.70/13.04 % Starting SubtermCWHack with 136s (1) cores
% 85.70/13.04 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 85.70/13.04 % Preprocessing time : 0.006 s
% 85.70/13.04 % Presaturation interreduction done
% 85.70/13.04
% 85.70/13.04 % Proof found!
% 85.70/13.04 % SZS status Theorem
% 85.70/13.04 % SZS output start CNFRefutation
% See solution above
% 85.70/13.05 % Parsed axioms : 67
% 85.70/13.05 % Removed by relevancy pruning/SinE : 0
% 85.70/13.05 % Initial clauses : 138
% 85.70/13.05 % Removed in clause preprocessing : 6
% 85.70/13.05 % Initial clauses in saturation : 132
% 85.70/13.05 % Processed clauses : 18853
% 85.70/13.05 % ...of these trivial : 197
% 85.70/13.05 % ...subsumed : 15725
% 85.70/13.05 % ...remaining for further processing : 2931
% 85.70/13.05 % Other redundant clauses eliminated : 45
% 85.70/13.05 % Clauses deleted for lack of memory : 0
% 85.70/13.05 % Backward-subsumed : 375
% 85.70/13.05 % Backward-rewritten : 797
% 85.70/13.05 % Generated clauses : 435006
% 85.70/13.05 % ...of the previous two non-redundant : 265259
% 85.70/13.05 % ...aggressively subsumed : 0
% 85.70/13.05 % Contextual simplify-reflections : 20
% 85.70/13.05 % Paramodulations : 434822
% 85.70/13.05 % Factorizations : 110
% 85.70/13.05 % NegExts : 0
% 85.70/13.05 % Equation resolutions : 53
% 85.70/13.05 % Disequality decompositions : 0
% 85.70/13.05 % Total rewrite steps : 232461
% 85.70/13.05 % ...of those cached : 231547
% 85.70/13.05 % Propositional unsat checks : 0
% 85.70/13.05 % Propositional check models : 0
% 85.70/13.05 % Propositional check unsatisfiable : 0
% 85.70/13.05 % Propositional clauses : 0
% 85.70/13.05 % Propositional clauses after purity: 0
% 85.70/13.05 % Propositional unsat core size : 0
% 85.70/13.05 % Propositional preprocessing time : 0.000
% 85.70/13.05 % Propositional encoding time : 0.000
% 85.70/13.05 % Propositional solver time : 0.000
% 85.70/13.05 % Success case prop preproc time : 0.000
% 85.70/13.05 % Success case prop encoding time : 0.000
% 85.70/13.05 % Success case prop solver time : 0.000
% 85.70/13.05 % Current number of processed clauses : 1607
% 85.70/13.05 % Positive orientable unit clauses : 124
% 85.70/13.05 % Positive unorientable unit clauses: 0
% 85.70/13.05 % Negative unit clauses : 122
% 85.70/13.05 % Non-unit-clauses : 1361
% 85.70/13.05 % Current number of unprocessed clauses: 246092
% 85.70/13.05 % ...number of literals in the above : 942536
% 85.70/13.05 % Current number of archived formulas : 0
% 85.70/13.05 % Current number of archived clauses : 1317
% 85.70/13.05 % Clause-clause subsumption calls (NU) : 2247787
% 85.70/13.05 % Rec. Clause-clause subsumption calls : 1256741
% 85.70/13.05 % Non-unit clause-clause subsumptions : 8106
% 85.70/13.05 % Unit Clause-clause subsumption calls : 48257
% 85.70/13.05 % Rewrite failures with RHS unbound : 0
% 85.70/13.05 % BW rewrite match attempts : 1300
% 85.70/13.05 % BW rewrite match successes : 24
% 85.70/13.05 % Condensation attempts : 0
% 85.70/13.05 % Condensation successes : 0
% 85.70/13.05 % Termbank termtop insertions : 6751342
% 85.70/13.05 % Search garbage collected termcells : 2403
% 85.70/13.05
% 85.70/13.05 % -------------------------------------------------
% 85.70/13.05 % User time : 11.826 s
% 85.70/13.05 % System time : 0.312 s
% 85.70/13.05 % Total time : 12.139 s
% 85.70/13.05 % Maximum resident set size: 3944 pages
% 85.70/13.05
% 85.70/13.05 % -------------------------------------------------
% 85.70/13.05 % User time : 59.308 s
% 85.70/13.05 % System time : 1.527 s
% 85.70/13.05 % Total time : 60.835 s
% 85.70/13.05 % Maximum resident set size: 4608 pages
% 85.70/13.05 % E exiting
%------------------------------------------------------------------------------