%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV481+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 : n026.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 200.92s 29.55s
% Output : CNFRefutation 200.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 82 ( 45 unt; 0 def)
% Number of atoms : 871 ( 398 equ)
% Maximal formula atoms : 179 ( 10 avg)
% Number of connectives : 1150 ( 361 ~; 269 |; 416 &)
% ( 4 <=>; 100 =>; 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 : 30 ( 30 usr; 20 con; 0-7 aty)
% Number of variables : 331 ( 16 sgn 286 !; 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) = host(index(elid,host(X5)))
& index(status,host(X5)) = wait )
| ( index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) ) )
=> ( ~ ( index(status,host(X5)) = elec_1
& ! [X7] :
( ( leq(s(zero),X7)
& ~ leq(host(X5),X7) )
=> ( X7 = host(X6)
| setIn(X7,index(down,host(X5))) ) ) )
=> ! [X7,X18,X19,X20] :
( host(X5) = host(X20)
=> ( ( index(status,host(X20)) = elec_1
& host(X18) = s(host(X20))
& leq(nbr_proc,s(host(X20)))
& elem(m_Down(X19),X12)
& elem(m_Down(X18),X12)
& setIn(X20,alive)
& ! [X17] :
( ( leq(s(zero),X17)
& ~ leq(host(X20),X17) )
=> ( X17 = host(X19)
| X17 = host(X6)
| setIn(X17,index(down,host(X5))) ) ) )
=> ~ ( index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X7,alive) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(axiom_46,axiom,
! [X5,X6,X4] :
( elem(X5,cons(X6,X4))
<=> ( elem(X5,X4)
| X5 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
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_02,axiom,
! [X3] : leq(s(zero),host(X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
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_07,axiom,
elec_1 != norm,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_07) ).
fof(c_0_7,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) = host(index(elid,host(X5)))
& index(status,host(X5)) = wait )
| ( index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) ) )
=> ( ~ ( index(status,host(X5)) = elec_1
& ! [X7] :
( ( leq(s(zero),X7)
& ~ leq(host(X5),X7) )
=> ( X7 = host(X6)
| setIn(X7,index(down,host(X5))) ) ) )
=> ! [X7,X18,X19,X20] :
( host(X5) = host(X20)
=> ( ( index(status,host(X20)) = elec_1
& host(X18) = s(host(X20))
& leq(nbr_proc,s(host(X20)))
& elem(m_Down(X19),X12)
& elem(m_Down(X18),X12)
& setIn(X20,alive)
& ! [X17] :
( ( leq(s(zero),X17)
& ~ leq(host(X20),X17) )
=> ( X17 = host(X19)
| X17 = host(X6)
| setIn(X17,index(down,host(X5))) ) ) )
=> ~ ( index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X7,alive) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj]) ).
fof(c_0_8,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_9,negated_conjecture,
~ ! [X12,X13,X5,X6] :
( epred1_3(X12,X5,X6)
=> ( setIn(X5,alive)
=> ( ~ leq(host(X5),host(X6))
=> ( ~ ( ( host(X6) = host(index(elid,host(X5)))
& index(status,host(X5)) = wait )
| ( index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) ) )
=> ( ~ ( index(status,host(X5)) = elec_1
& ! [X7] :
( ( leq(s(zero),X7)
& ~ leq(host(X5),X7) )
=> ( X7 = host(X6)
| setIn(X7,index(down,host(X5))) ) ) )
=> ! [X7,X18,X19,X20] :
( host(X5) = host(X20)
=> ( ( index(status,host(X20)) = elec_1
& host(X18) = s(host(X20))
& leq(nbr_proc,s(host(X20)))
& elem(m_Down(X19),X12)
& elem(m_Down(X18),X12)
& setIn(X20,alive)
& ! [X17] :
( ( leq(s(zero),X17)
& ~ leq(host(X20),X17) )
=> ( X17 = host(X19)
| X17 = host(X6)
| setIn(X17,index(down,host(X5))) ) ) )
=> ~ ( index(status,host(X7)) = norm
& index(ldr,host(X7)) = host(X7)
& setIn(X7,alive) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7]),c_0_8]) ).
fof(c_0_10,negated_conjecture,
! [X29] :
( index(status,host(esk5_0)) = norm
& index(ldr,host(esk5_0)) = host(esk5_0)
& setIn(esk5_0,alive)
& index(status,host(esk8_0)) = elec_1
& host(esk6_0) = s(host(esk8_0))
& leq(nbr_proc,s(host(esk8_0)))
& elem(m_Down(esk7_0),esk1_0)
& elem(m_Down(esk6_0),esk1_0)
& setIn(esk8_0,alive)
& ( X29 = host(esk7_0)
| X29 = host(esk3_0)
| setIn(X29,index(down,host(esk2_0)))
| ~ leq(s(zero),X29)
| leq(host(esk8_0),X29) )
& host(esk2_0) = host(esk8_0)
& ( index(status,host(esk2_0)) != elec_1
| esk4_0 != host(esk3_0) )
& ( index(status,host(esk2_0)) != elec_1
| ~ setIn(esk4_0,index(down,host(esk2_0))) )
& ( index(status,host(esk2_0)) != elec_1
| leq(s(zero),esk4_0) )
& ( index(status,host(esk2_0)) != elec_1
| ~ leq(host(esk2_0),esk4_0) )
& ( host(esk3_0) != host(index(elid,host(esk2_0)))
| index(status,host(esk2_0)) != wait )
& ( index(status,host(esk2_0)) != norm
| index(ldr,host(esk2_0)) != host(esk3_0) )
& ~ leq(host(esk2_0),host(esk3_0))
& setIn(esk2_0,alive)
& epred1_3(esk1_0,esk2_0,esk3_0) ),
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)],[inference(fof_simplification,[status(thm)],[c_0_9])])])])])])]) ).
fof(c_0_11,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_8]) ).
cnf(c_0_12,negated_conjecture,
index(status,host(esk8_0)) = elec_1,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
host(esk2_0) = host(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,plain,
! [X52,X53,X54] :
( ( elem(X52,cons(X53,X54))
| ~ elem(X52,X54) )
& ( elem(X52,cons(X53,X54))
| X52 != X53 )
& ( elem(X52,X54)
| X52 = X53
| ~ elem(X52,cons(X53,X54)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])])]) ).
fof(c_0_15,plain,
! [X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X170,X171,X172,X173] :
( ( ~ epred1_3(X128,X127,X126)
| queue(host(X127)) = cons(m_Down(X126),X128) )
& ( ~ epred1_3(X128,X127,X126)
| index(status,host(X170)) != norm
| index(ldr,host(X170)) != host(X170)
| ~ setIn(X170,alive)
| index(status,host(X173)) != elec_1
| host(X171) != s(host(X173))
| ~ elem(m_Down(X171),queue(host(X173)))
| ~ elem(m_Down(X172),queue(host(X173)))
| ~ leq(nbr_proc,s(host(X173)))
| ~ setIn(X173,alive)
| esk10_7(X126,X127,X128,X170,X171,X172,X173) != host(X172) )
& ( ~ epred1_3(X128,X127,X126)
| index(status,host(X170)) != norm
| index(ldr,host(X170)) != host(X170)
| ~ setIn(X170,alive)
| index(status,host(X173)) != elec_1
| host(X171) != s(host(X173))
| ~ elem(m_Down(X171),queue(host(X173)))
| ~ elem(m_Down(X172),queue(host(X173)))
| ~ leq(nbr_proc,s(host(X173)))
| ~ setIn(X173,alive)
| ~ setIn(esk10_7(X126,X127,X128,X170,X171,X172,X173),index(down,host(X173))) )
& ( ~ epred1_3(X128,X127,X126)
| index(status,host(X170)) != norm
| index(ldr,host(X170)) != host(X170)
| ~ setIn(X170,alive)
| index(status,host(X173)) != elec_1
| host(X171) != s(host(X173))
| ~ elem(m_Down(X171),queue(host(X173)))
| ~ elem(m_Down(X172),queue(host(X173)))
| ~ leq(nbr_proc,s(host(X173)))
| ~ setIn(X173,alive)
| leq(s(zero),esk10_7(X126,X127,X128,X170,X171,X172,X173)) )
& ( ~ epred1_3(X128,X127,X126)
| index(status,host(X170)) != norm
| index(ldr,host(X170)) != host(X170)
| ~ setIn(X170,alive)
| index(status,host(X173)) != elec_1
| host(X171) != s(host(X173))
| ~ elem(m_Down(X171),queue(host(X173)))
| ~ elem(m_Down(X172),queue(host(X173)))
| ~ leq(nbr_proc,s(host(X173)))
| ~ setIn(X173,alive)
| ~ leq(host(X173),esk10_7(X126,X127,X128,X170,X171,X172,X173)) )
& ( ~ epred1_3(X128,X127,X126)
| ~ elem(m_Ack(X165,X166),queue(host(X165)))
| index(status,host(X168)) != elec_1
| index(status,host(X165)) != elec_2
| host(X166) != host(X168)
| ~ elem(m_Down(X167),queue(host(X168)))
| ~ leq(host(X165),host(X168))
| ~ setIn(X165,alive)
| esk9_7(X126,X127,X128,X165,X166,X167,X168) != host(X167) )
& ( ~ epred1_3(X128,X127,X126)
| ~ elem(m_Ack(X165,X166),queue(host(X165)))
| index(status,host(X168)) != elec_1
| index(status,host(X165)) != elec_2
| host(X166) != host(X168)
| ~ elem(m_Down(X167),queue(host(X168)))
| ~ leq(host(X165),host(X168))
| ~ setIn(X165,alive)
| ~ setIn(esk9_7(X126,X127,X128,X165,X166,X167,X168),index(down,host(X168))) )
& ( ~ epred1_3(X128,X127,X126)
| ~ elem(m_Ack(X165,X166),queue(host(X165)))
| index(status,host(X168)) != elec_1
| index(status,host(X165)) != elec_2
| host(X166) != host(X168)
| ~ elem(m_Down(X167),queue(host(X168)))
| ~ leq(host(X165),host(X168))
| ~ setIn(X165,alive)
| leq(s(zero),esk9_7(X126,X127,X128,X165,X166,X167,X168)) )
& ( ~ epred1_3(X128,X127,X126)
| ~ elem(m_Ack(X165,X166),queue(host(X165)))
| index(status,host(X168)) != elec_1
| index(status,host(X165)) != elec_2
| host(X166) != host(X168)
| ~ elem(m_Down(X167),queue(host(X168)))
| ~ leq(host(X165),host(X168))
| ~ setIn(X165,alive)
| ~ leq(host(X168),esk9_7(X126,X127,X128,X165,X166,X167,X168)) )
& ( ~ epred1_3(X128,X127,X126)
| index(ldr,host(X163)) != host(X163)
| index(status,host(X163)) != norm
| ~ setIn(X163,alive)
| host(index(elid,host(X164))) != host(X163)
| index(status,host(X164)) != wait
| host(X163) != host(X162)
| ~ elem(m_Down(X162),queue(host(X164)))
| ~ setIn(X164,alive)
| host(X164) = host(X163) )
& ( ~ epred1_3(X128,X127,X126)
| index(ldr,host(X160)) != host(X160)
| index(status,host(X160)) != norm
| ~ setIn(X160,alive)
| index(ldr,host(X161)) != host(X160)
| index(status,host(X161)) != norm
| host(X160) != host(X159)
| ~ elem(m_Down(X159),queue(host(X161)))
| ~ setIn(X161,alive)
| host(X161) = host(X160) )
& ( ~ epred1_3(X128,X127,X126)
| ~ setIn(host(X156),index(down,host(X157)))
| ~ elem(m_Down(X158),queue(host(X155)))
| host(X158) != host(X157)
| host(X156) != host(X155)
| ~ setIn(X157,alive)
| ~ setIn(X155,alive)
| host(X157) = host(X155) )
& ( ~ epred1_3(X128,X127,X126)
| ~ elem(m_Down(X152),queue(host(X153)))
| ~ elem(m_Down(X154),queue(host(X151)))
| host(X154) != host(X153)
| host(X152) != host(X151)
| ~ setIn(X153,alive)
| ~ setIn(X151,alive)
| host(X153) = host(X151) )
& ( ~ epred1_3(X128,X127,X126)
| index(status,host(X148)) != norm
| index(ldr,host(X148)) != host(X148)
| ~ setIn(X148,alive)
| host(X149) != host(X148)
| ~ elem(m_Down(X149),queue(host(X150)))
| ~ setIn(X150,alive)
| leq(host(X149),host(X150)) )
& ( ~ epred1_3(X128,X127,X126)
| X147 = X146
| index(ldr,host(X147)) != host(X147)
| index(status,host(X147)) != norm
| index(status,host(X146)) != norm
| index(ldr,host(X146)) != host(X146)
| ~ setIn(X147,alive)
| ~ setIn(X146,alive) )
& ( ~ epred1_3(X128,X127,X126)
| ~ elem(m_Down(X144),queue(host(X143)))
| ~ setIn(X143,alive)
| index(ldr,host(X145)) != host(X145)
| index(status,host(X145)) != norm
| host(X144) != host(X145)
| ~ setIn(X145,alive) )
& ( ~ epred1_3(X128,X127,X126)
| leq(index(pendack,host(X142)),host(X140))
| index(status,host(X142)) != elec_2
| host(X142) != host(X141)
| ~ elem(m_Down(X141),queue(host(X140)))
| ~ setIn(X142,alive)
| ~ setIn(X140,alive) )
& ( ~ epred1_3(X128,X127,X126)
| ~ setIn(host(X139),index(down,host(X138)))
| ~ setIn(X138,alive)
| index(ldr,host(X139)) != host(X139)
| index(status,host(X139)) != norm
| ~ setIn(X139,alive) )
& ( ~ epred1_3(X128,X127,X126)
| leq(index(pendack,host(X137)),host(X136))
| index(status,host(X137)) != elec_2
| ~ setIn(host(X137),index(down,host(X136)))
| ~ setIn(X137,alive)
| ~ setIn(X136,alive) )
& ( ~ epred1_3(X128,X127,X126)
| index(elid,host(X135)) = X135
| ~ setIn(X135,alive)
| index(status,host(X135)) != elec_2 )
& ( ~ epred1_3(X128,X127,X126)
| index(elid,host(X135)) = X135
| ~ setIn(X135,alive)
| index(status,host(X135)) != elec_1 )
& ( ~ epred1_3(X128,X127,X126)
| ~ setIn(X134,alive)
| ~ setIn(X133,alive)
| host(X134) != host(X133)
| X134 = X133 )
& ( ~ epred1_3(X128,X127,X126)
| host(X132) != host(X131)
| ~ elem(m_Down(X132),queue(host(X131))) )
& ( ~ epred1_3(X128,X127,X126)
| ~ leq(host(X129),host(X130))
| ~ elem(m_Ldr(X130),queue(host(X129))) ) ),
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])])])])])]) ).
cnf(c_0_16,negated_conjecture,
( ~ leq(s(zero),X1)
| X1 = host(esk7_0)
| X1 = host(esk3_0)
| setIn(X1,index(down,host(esk2_0)))
| leq(host(esk8_0),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( index(status,host(esk2_0)) != elec_1
| leq(s(zero),esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
index(status,host(esk2_0)) = elec_1,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( index(status,host(esk2_0)) != elec_1
| esk4_0 != host(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
( index(status,host(esk2_0)) != elec_1
| ~ leq(host(esk2_0),esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
( index(status,host(esk2_0)) != elec_1
| ~ setIn(esk4_0,index(down,host(esk2_0))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,plain,
( X1 != X2
| elem(X1,cons(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
( ~ epred1_3(X3,X1,X2)
| queue(host(X1)) = cons(m_Down(X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,negated_conjecture,
epred1_3(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,plain,
( ~ elem(X1,X2)
| elem(X1,cons(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,negated_conjecture,
elem(m_Down(esk7_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,negated_conjecture,
host(esk6_0) = s(host(esk8_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,plain,
( ~ epred1_3(X3,X4,X5)
| ~ setIn(host(X1),index(down,host(X2)))
| ~ setIn(X2,alive)
| index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| ~ setIn(X1,alive) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,negated_conjecture,
( ~ leq(s(zero),X1)
| setIn(X1,index(down,host(esk2_0)))
| leq(host(esk2_0),X1)
| X1 = host(esk3_0)
| X1 = host(esk7_0) ),
inference(rw,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_30,negated_conjecture,
leq(s(zero),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_31,negated_conjecture,
host(esk3_0) != esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_18])]) ).
cnf(c_0_32,negated_conjecture,
~ leq(host(esk2_0),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_18])]) ).
cnf(c_0_33,negated_conjecture,
~ setIn(esk4_0,index(down,host(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_18])]) ).
cnf(c_0_34,plain,
( ~ epred1_3(X4,X5,X6)
| ~ elem(m_Down(X2),queue(host(X3)))
| ~ setIn(X3,alive)
| index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| host(X2) != host(X1)
| ~ setIn(X1,alive) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_35,plain,
elem(X1,cons(X1,X2)),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_36,negated_conjecture,
cons(m_Down(esk3_0),esk1_0) = queue(host(esk2_0)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_37,negated_conjecture,
elem(m_Down(esk7_0),cons(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_38,plain,
! [X45,X46] :
( ( X45 != X46
| leq(X46,X45) )
& ( X45 != X46
| leq(X45,X46) )
& ( X45 = X46
| ~ leq(X46,X45)
| ~ leq(X45,X46) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])])]) ).
cnf(c_0_39,negated_conjecture,
leq(nbr_proc,s(host(esk8_0))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_40,negated_conjecture,
s(host(esk2_0)) = host(esk6_0),
inference(rw,[status(thm)],[c_0_27,c_0_13]) ).
fof(c_0_41,plain,
! [X50] : leq(host(X50),nbr_proc),
inference(variable_rename,[status(thm)],[axiom_04]) ).
cnf(c_0_42,negated_conjecture,
( ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| ~ setIn(host(X1),index(down,host(X2)))
| index(status,host(X1)) != norm
| index(ldr,host(X1)) != host(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_43,negated_conjecture,
setIn(esk2_0,alive),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_44,negated_conjecture,
host(esk7_0) = esk4_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]),c_0_33]) ).
fof(c_0_45,plain,
! [X67] : leq(s(zero),host(X67)),
inference(variable_rename,[status(thm)],[axiom_02]) ).
cnf(c_0_46,negated_conjecture,
( ~ elem(m_Down(X2),queue(host(X3)))
| ~ setIn(X1,alive)
| ~ setIn(X3,alive)
| host(X1) != host(X2)
| index(status,host(X1)) != norm
| index(ldr,host(X1)) != host(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_24]) ).
cnf(c_0_47,negated_conjecture,
elem(m_Down(esk3_0),queue(host(esk2_0))),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_48,negated_conjecture,
elem(m_Down(esk7_0),queue(host(esk2_0))),
inference(spm,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_49,plain,
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_50,negated_conjecture,
leq(nbr_proc,host(esk6_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_13]),c_0_40]) ).
cnf(c_0_51,plain,
leq(host(X1),nbr_proc),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,negated_conjecture,
elem(m_Down(esk6_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_53,negated_conjecture,
( ~ setIn(X1,alive)
| ~ setIn(host(X1),index(down,host(esk2_0)))
| index(status,host(X1)) != norm
| index(ldr,host(X1)) != host(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_54,negated_conjecture,
setIn(esk5_0,alive),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_55,negated_conjecture,
index(ldr,host(esk5_0)) = host(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_56,negated_conjecture,
index(status,host(esk5_0)) = norm,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_57,negated_conjecture,
( ~ leq(s(zero),X1)
| setIn(X1,index(down,host(esk2_0)))
| leq(host(esk2_0),X1)
| X1 = esk4_0
| X1 = host(esk3_0) ),
inference(rw,[status(thm)],[c_0_29,c_0_44]) ).
cnf(c_0_58,plain,
leq(s(zero),host(X1)),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_59,negated_conjecture,
( ~ setIn(X1,alive)
| host(X1) != host(esk3_0)
| index(status,host(X1)) != norm
| index(ldr,host(X1)) != host(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_43])]) ).
cnf(c_0_60,negated_conjecture,
( ~ setIn(X1,alive)
| host(X1) != esk4_0
| index(status,host(X1)) != norm
| index(ldr,host(X1)) != host(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_48]),c_0_44]),c_0_43])]) ).
fof(c_0_61,plain,
! [X40,X41] :
( ( leq(X40,s(X41))
| ~ leq(X40,X41) )
& ( leq(X40,s(X41))
| X40 != s(X41) )
& ( leq(X40,X41)
| X40 = s(X41)
| ~ leq(X40,s(X41)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])])]) ).
cnf(c_0_62,negated_conjecture,
host(esk6_0) = nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_63,negated_conjecture,
elem(m_Down(esk6_0),cons(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_25,c_0_52]) ).
cnf(c_0_64,negated_conjecture,
~ setIn(host(esk5_0),index(down,host(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56])]) ).
cnf(c_0_65,negated_conjecture,
( setIn(host(X1),index(down,host(esk2_0)))
| leq(host(esk2_0),host(X1))
| host(X1) = esk4_0
| host(X1) = host(esk3_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
host(esk5_0) != host(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_54]),c_0_55]),c_0_56])]) ).
cnf(c_0_67,negated_conjecture,
host(esk5_0) != esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_54]),c_0_55]),c_0_56])]) ).
cnf(c_0_68,plain,
( ~ leq(X1,s(X2))
| leq(X1,X2)
| X1 = s(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_69,negated_conjecture,
s(host(esk2_0)) = nbr_proc,
inference(rw,[status(thm)],[c_0_40,c_0_62]) ).
cnf(c_0_70,negated_conjecture,
elem(m_Down(esk6_0),queue(host(esk2_0))),
inference(spm,[status(thm)],[c_0_63,c_0_36]) ).
cnf(c_0_71,negated_conjecture,
leq(host(esk2_0),host(esk5_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( ~ leq(X1,nbr_proc)
| leq(X1,host(esk2_0))
| X1 = nbr_proc ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_73,negated_conjecture,
( ~ setIn(X1,alive)
| host(X1) != nbr_proc
| index(status,host(X1)) != norm
| index(ldr,host(X1)) != host(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_70]),c_0_62]),c_0_43])]) ).
fof(c_0_74,plain,
elec_1 != norm,
inference(fof_simplification,[status(thm)],[axiom_07]) ).
cnf(c_0_75,negated_conjecture,
( ~ leq(host(esk5_0),host(esk2_0))
| host(esk5_0) = host(esk2_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( leq(host(X1),host(esk2_0))
| host(X1) = nbr_proc ),
inference(spm,[status(thm)],[c_0_72,c_0_51]) ).
cnf(c_0_77,negated_conjecture,
host(esk5_0) != nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_54]),c_0_55]),c_0_56])]) ).
fof(c_0_78,plain,
elec_1 != norm,
inference(fof_nnf,[status(thm)],[c_0_74]) ).
cnf(c_0_79,negated_conjecture,
host(esk5_0) = host(esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_80,plain,
elec_1 != norm,
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_81,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_79]),c_0_18]),c_0_80]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV481+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n026.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 08:56:21 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.45 Running first-order theorem proving
% 0.15/0.45 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
% 200.92/29.55 % Version: 3.5.1
% 200.92/29.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 200.92/29.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 200.92/29.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 200.92/29.55 % Starting new_bool_3 with 300s (1) cores
% 200.92/29.55 % Starting new_bool_1 with 300s (1) cores
% 200.92/29.55 % Starting sh5l with 300s (1) cores
% 200.92/29.55 % new_bool_3 with pid 1893899 completed with status 0
% 200.92/29.55 % Result found by new_bool_3
% 200.92/29.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 200.92/29.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 200.92/29.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 200.92/29.55 % Starting new_bool_3 with 300s (1) cores
% 200.92/29.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 200.92/29.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 200.92/29.55 % Search class: FGHSM-FFMM32-MFFFFFNN
% 200.92/29.55 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 200.92/29.55 % Starting SubtermCWHack with 28s (1) cores
% 200.92/29.55 % SubtermCWHack with pid 1893902 completed with status 8
% 200.92/29.55 % Starting new_bool_3 with 31s (1) cores
% 200.92/29.55 % new_bool_3 with pid 1893915 completed with status 0
% 200.92/29.55 % Result found by new_bool_3
% 200.92/29.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 200.92/29.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 200.92/29.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 200.92/29.55 % Starting new_bool_3 with 300s (1) cores
% 200.92/29.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 200.92/29.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 200.92/29.55 % Search class: FGHSM-FFMM32-MFFFFFNN
% 200.92/29.55 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 200.92/29.55 % Starting SubtermCWHack with 28s (1) cores
% 200.92/29.55 % SubtermCWHack with pid 1893902 completed with status 8
% 200.92/29.55 % Starting new_bool_3 with 31s (1) cores
% 200.92/29.55 % Preprocessing time : 0.002 s
% 200.92/29.55 % Presaturation interreduction done
% 200.92/29.55
% 200.92/29.55 % Proof found!
% 200.92/29.55 % SZS status Theorem
% 200.92/29.55 % SZS output start CNFRefutation
% See solution above
% 200.92/29.55 % Parsed axioms : 67
% 200.92/29.55 % Removed by relevancy pruning/SinE : 14
% 200.92/29.55 % Initial clauses : 111
% 200.92/29.55 % Removed in clause preprocessing : 6
% 200.92/29.55 % Initial clauses in saturation : 105
% 200.92/29.55 % Processed clauses : 2689
% 200.92/29.55 % ...of these trivial : 331
% 200.92/29.55 % ...subsumed : 1237
% 200.92/29.55 % ...remaining for further processing : 1121
% 200.92/29.55 % Other redundant clauses eliminated : 5
% 200.92/29.55 % Clauses deleted for lack of memory : 0
% 200.92/29.55 % Backward-subsumed : 41
% 200.92/29.55 % Backward-rewritten : 41
% 200.92/29.55 % Generated clauses : 50894
% 200.92/29.55 % ...of the previous two non-redundant : 15466
% 200.92/29.55 % ...aggressively subsumed : 0
% 200.92/29.55 % Contextual simplify-reflections : 1
% 200.92/29.55 % Paramodulations : 50855
% 200.92/29.55 % Factorizations : 26
% 200.92/29.55 % NegExts : 0
% 200.92/29.55 % Equation resolutions : 13
% 200.92/29.55 % Disequality decompositions : 0
% 200.92/29.55 % Total rewrite steps : 47899
% 200.92/29.55 % ...of those cached : 47583
% 200.92/29.55 % Propositional unsat checks : 0
% 200.92/29.55 % Propositional check models : 0
% 200.92/29.55 % Propositional check unsatisfiable : 0
% 200.92/29.55 % Propositional clauses : 0
% 200.92/29.55 % Propositional clauses after purity: 0
% 200.92/29.55 % Propositional unsat core size : 0
% 200.92/29.55 % Propositional preprocessing time : 0.000
% 200.92/29.55 % Propositional encoding time : 0.000
% 200.92/29.55 % Propositional solver time : 0.000
% 200.92/29.55 % Success case prop preproc time : 0.000
% 200.92/29.55 % Success case prop encoding time : 0.000
% 200.92/29.55 % Success case prop solver time : 0.000
% 200.92/29.55 % Current number of processed clauses : 938
% 200.92/29.55 % Positive orientable unit clauses : 188
% 200.92/29.55 % Positive unorientable unit clauses: 0
% 200.92/29.55 % Negative unit clauses : 34
% 200.92/29.55 % Non-unit-clauses : 716
% 200.92/29.55 % Current number of unprocessed clauses: 12883
% 200.92/29.55 % ...number of literals in the above : 40526
% 200.92/29.55 % Current number of archived formulas : 0
% 200.92/29.55 % Current number of archived clauses : 178
% 200.92/29.55 % Clause-clause subsumption calls (NU) : 109222
% 200.92/29.55 % Rec. Clause-clause subsumption calls : 76332
% 200.92/29.55 % Non-unit clause-clause subsumptions : 1240
% 200.92/29.55 % Unit Clause-clause subsumption calls : 2581
% 200.92/29.55 % Rewrite failures with RHS unbound : 0
% 200.92/29.55 % BW rewrite match attempts : 2979
% 200.92/29.55 % BW rewrite match successes : 18
% 200.92/29.55 % Condensation attempts : 0
% 200.92/29.55 % Condensation successes : 0
% 200.92/29.55 % Termbank termtop insertions : 723394
% 200.92/29.55 % Search garbage collected termcells : 2201
% 200.92/29.55
% 200.92/29.55 % -------------------------------------------------
% 200.92/29.55 % User time : 27.716 s
% 200.92/29.55 % System time : 0.889 s
% 200.92/29.55 % Total time : 28.605 s
% 200.92/29.55 % Maximum resident set size: 4252 pages
% 200.92/29.55
% 200.92/29.55 % -------------------------------------------------
% 200.92/29.55 % User time : 27.724 s
% 200.92/29.55 % System time : 0.895 s
% 200.92/29.55 % Total time : 28.619 s
% 200.92/29.55 % Maximum resident set size: 4864 pages
% 200.92/29.55 % E exiting
%------------------------------------------------------------------------------