%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV478+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 : 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 46.66s 12.25s
% Output : CNFRefutation 46.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 83 ( 43 unt; 0 def)
% Number of atoms : 850 ( 375 equ)
% Maximal formula atoms : 179 ( 10 avg)
% Number of connectives : 1108 ( 341 ~; 249 |; 405 &)
% ( 5 <=>; 108 =>; 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 : 32 ( 32 usr; 21 con; 0-7 aty)
% Number of variables : 366 ( 27 sgn 307 !; 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(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_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_01,axiom,
! [X3,X4] :
( s(host(X3)) = host(X4)
=> host(X3) != host(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_01) ).
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_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_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_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_02,axiom,
! [X3] : leq(s(zero),host(X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(c_0_10,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(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_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)) ) ) ),
introduced(definition) ).
fof(c_0_12,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(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_10]),c_0_11]) ).
fof(c_0_13,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),snoc(queue(host(esk12_0)),m_Ldr(esk6_0)))
& elem(m_Down(esk10_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_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(esk8_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_12])])])])])]) ).
fof(c_0_14,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_15,negated_conjecture,
leq(nbr_proc,s(host(esk12_0))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
host(esk10_0) = s(host(esk12_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,plain,
! [X27] : leq(host(X27),nbr_proc),
inference(variable_rename,[status(thm)],[axiom_04]) ).
fof(c_0_18,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_11]) ).
fof(c_0_19,plain,
! [X3,X4] :
( s(host(X3)) = host(X4)
=> host(X3) != host(X4) ),
inference(fof_simplification,[status(thm)],[axiom_01]) ).
cnf(c_0_20,plain,
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
leq(nbr_proc,host(esk10_0)),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
leq(host(X1),nbr_proc),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_23,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_18])])])])])]) ).
cnf(c_0_24,negated_conjecture,
leq(nbr_proc,index(pendack,host(esk6_0))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25,negated_conjecture,
host(esk7_0) = index(pendack,host(esk6_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_26,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_19])])]) ).
fof(c_0_27,plain,
! [X5,X6] : m_Down(X5) != m_Ldr(X6),
inference(fof_simplification,[status(thm)],[axiom_18]) ).
fof(c_0_28,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_29,negated_conjecture,
host(esk10_0) = nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_30,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_23]) ).
cnf(c_0_31,negated_conjecture,
epred1_3(esk5_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_32,negated_conjecture,
leq(nbr_proc,host(esk7_0)),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,plain,
( host(X1) != host(X2)
| s(host(X1)) != host(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,negated_conjecture,
host(esk8_0) = host(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_35,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_36,plain,
! [X47,X48] : m_Down(X47) != m_Ldr(X48),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).
fof(c_0_37,plain,
! [X5] : ~ leq(s(X5),X5),
inference(fof_simplification,[status(thm)],[axiom_58]) ).
cnf(c_0_38,plain,
( ~ leq(X1,s(X2))
| leq(X1,X2)
| X1 = s(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,negated_conjecture,
s(host(esk12_0)) = nbr_proc,
inference(rw,[status(thm)],[c_0_16,c_0_29]) ).
cnf(c_0_40,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_30,c_0_31]) ).
cnf(c_0_41,negated_conjecture,
host(esk7_0) = nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_32]),c_0_22])]) ).
cnf(c_0_42,negated_conjecture,
( host(esk12_0) != host(X1)
| host(esk10_0) != host(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_16]) ).
cnf(c_0_43,plain,
( ~ elem(X1,snoc(X2,X3))
| elem(X1,X2)
| X1 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,negated_conjecture,
elem(m_Down(esk11_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_0))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_45,plain,
m_Down(X1) != m_Ldr(X2),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_46,plain,
! [X137] : ~ leq(s(X137),X137),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_37])]) ).
fof(c_0_47,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_48,negated_conjecture,
( ~ leq(X1,nbr_proc)
| leq(X1,host(esk12_0))
| X1 = nbr_proc ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_49,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_20,c_0_40]) ).
cnf(c_0_50,negated_conjecture,
index(pendack,host(esk6_0)) = nbr_proc,
inference(rw,[status(thm)],[c_0_25,c_0_41]) ).
cnf(c_0_51,negated_conjecture,
index(status,host(esk6_0)) = elec_2,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_52,negated_conjecture,
setIn(esk6_0,alive),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_53,plain,
! [X26] : leq(s(zero),host(X26)),
inference(variable_rename,[status(thm)],[axiom_02]) ).
cnf(c_0_54,negated_conjecture,
host(esk10_0) != host(esk12_0),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_55,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_23]) ).
cnf(c_0_56,negated_conjecture,
elem(m_Down(esk11_0),queue(host(esk12_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_57,negated_conjecture,
setIn(esk12_0,alive),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_58,plain,
~ leq(s(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_59,plain,
( X1 != X2
| elem(X1,cons(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_60,plain,
( ~ epred1_3(X3,X1,X2)
| queue(host(X1)) = cons(m_Down(X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_61,negated_conjecture,
( leq(host(X1),host(esk12_0))
| host(X1) = nbr_proc ),
inference(spm,[status(thm)],[c_0_48,c_0_22]) ).
cnf(c_0_62,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_49,c_0_50]),c_0_51]),c_0_22]),c_0_52])]) ).
cnf(c_0_63,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_13]) ).
cnf(c_0_64,plain,
leq(s(zero),host(X1)),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_65,negated_conjecture,
nbr_proc != host(esk12_0),
inference(rw,[status(thm)],[c_0_54,c_0_29]) ).
cnf(c_0_66,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_55,c_0_56]),c_0_57])]) ).
cnf(c_0_67,negated_conjecture,
~ leq(host(esk10_0),host(esk12_0)),
inference(spm,[status(thm)],[c_0_58,c_0_16]) ).
cnf(c_0_68,plain,
elem(X1,cons(X1,X2)),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_69,negated_conjecture,
cons(m_Down(esk7_0),esk5_0) = queue(host(esk6_0)),
inference(spm,[status(thm)],[c_0_60,c_0_31]) ).
cnf(c_0_70,negated_conjecture,
( ~ leq(host(esk12_0),host(X1))
| host(X1) = nbr_proc
| host(esk12_0) = host(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_61]) ).
cnf(c_0_71,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_62,c_0_63]),c_0_57]),c_0_64])]),c_0_65]) ).
cnf(c_0_72,negated_conjecture,
host(esk6_0) != host(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_73,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_66,c_0_31]) ).
cnf(c_0_74,negated_conjecture,
~ leq(nbr_proc,host(esk12_0)),
inference(rw,[status(thm)],[c_0_67,c_0_29]) ).
cnf(c_0_75,plain,
( ~ epred1_3(X3,X4,X5)
| host(X1) != host(X2)
| ~ elem(m_Down(X1),queue(host(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_76,negated_conjecture,
elem(m_Down(esk7_0),queue(host(esk6_0))),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_77,negated_conjecture,
( nbr_proc = host(esk6_0)
| host(esk11_0) = host(esk6_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_78,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_73,c_0_50]),c_0_51]),c_0_52])]),c_0_74]) ).
cnf(c_0_79,plain,
( ~ epred1_3(X1,X2,X3)
| nbr_proc != host(esk6_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_41]) ).
cnf(c_0_80,negated_conjecture,
nbr_proc = host(esk6_0),
inference(sr,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,plain,
~ epred1_3(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80])]) ).
cnf(c_0_82,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_31,c_0_81]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV478+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.38 % Computer : n002.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 08:55:39 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 46.66/12.25 % Version: 3.5.1
% 46.66/12.25 % Preprocessing class: FSLSSMSMSSSNFFN.
% 46.66/12.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 46.66/12.25 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 46.66/12.25 % Starting new_bool_3 with 300s (1) cores
% 46.66/12.25 % Starting new_bool_1 with 300s (1) cores
% 46.66/12.25 % Starting sh5l with 300s (1) cores
% 46.66/12.25 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2925385 completed with status 0
% 46.66/12.25 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 46.66/12.25 % Preprocessing class: FSLSSMSMSSSNFFN.
% 46.66/12.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 46.66/12.25 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 46.66/12.25 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 46.66/12.25 % No SInE strategy applied
% 46.66/12.25 % Search class: FGHSM-FFLM31-MFFFFFNN
% 46.66/12.25 % Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 46.66/12.25 % Starting SubtermCWHack with 136s (1) cores
% 46.66/12.25 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 46.66/12.25 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 46.66/12.25 % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 46.66/12.25 % Starting G-E--_200_B07_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 46.66/12.25 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2925392 completed with status 0
% 46.66/12.25 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 46.66/12.25 % Preprocessing class: FSLSSMSMSSSNFFN.
% 46.66/12.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 46.66/12.25 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 46.66/12.25 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 46.66/12.25 % No SInE strategy applied
% 46.66/12.25 % Search class: FGHSM-FFLM31-MFFFFFNN
% 46.66/12.25 % Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 46.66/12.25 % Starting SubtermCWHack with 136s (1) cores
% 46.66/12.25 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 46.66/12.25 % Preprocessing time : 0.004 s
% 46.66/12.25 % Presaturation interreduction done
% 46.66/12.25
% 46.66/12.25 % Proof found!
% 46.66/12.25 % SZS status Theorem
% 46.66/12.25 % SZS output start CNFRefutation
% See solution above
% 46.66/12.25 % Parsed axioms : 67
% 46.66/12.25 % Removed by relevancy pruning/SinE : 0
% 46.66/12.25 % Initial clauses : 139
% 46.66/12.25 % Removed in clause preprocessing : 6
% 46.66/12.25 % Initial clauses in saturation : 133
% 46.66/12.25 % Processed clauses : 20239
% 46.66/12.25 % ...of these trivial : 176
% 46.66/12.25 % ...subsumed : 17033
% 46.66/12.25 % ...remaining for further processing : 3030
% 46.66/12.25 % Other redundant clauses eliminated : 45
% 46.66/12.25 % Clauses deleted for lack of memory : 0
% 46.66/12.25 % Backward-subsumed : 394
% 46.66/12.25 % Backward-rewritten : 843
% 46.66/12.25 % Generated clauses : 460380
% 46.66/12.25 % ...of the previous two non-redundant : 279118
% 46.66/12.25 % ...aggressively subsumed : 0
% 46.66/12.25 % Contextual simplify-reflections : 20
% 46.66/12.25 % Paramodulations : 460194
% 46.66/12.25 % Factorizations : 112
% 46.66/12.25 % NegExts : 0
% 46.66/12.25 % Equation resolutions : 53
% 46.66/12.25 % Disequality decompositions : 0
% 46.66/12.25 % Total rewrite steps : 249183
% 46.66/12.25 % ...of those cached : 248403
% 46.66/12.25 % Propositional unsat checks : 0
% 46.66/12.25 % Propositional check models : 0
% 46.66/12.25 % Propositional check unsatisfiable : 0
% 46.66/12.25 % Propositional clauses : 0
% 46.66/12.25 % Propositional clauses after purity: 0
% 46.66/12.25 % Propositional unsat core size : 0
% 46.66/12.25 % Propositional preprocessing time : 0.000
% 46.66/12.25 % Propositional encoding time : 0.000
% 46.66/12.25 % Propositional solver time : 0.000
% 46.66/12.25 % Success case prop preproc time : 0.000
% 46.66/12.25 % Success case prop encoding time : 0.000
% 46.66/12.25 % Success case prop solver time : 0.000
% 46.66/12.25 % Current number of processed clauses : 1640
% 46.66/12.25 % Positive orientable unit clauses : 129
% 46.66/12.25 % Positive unorientable unit clauses: 0
% 46.66/12.25 % Negative unit clauses : 123
% 46.66/12.25 % Non-unit-clauses : 1388
% 46.66/12.25 % Current number of unprocessed clauses: 258512
% 46.66/12.25 % ...number of literals in the above : 1000326
% 46.66/12.25 % Current number of archived formulas : 0
% 46.66/12.25 % Current number of archived clauses : 1383
% 46.66/12.25 % Clause-clause subsumption calls (NU) : 2499193
% 46.66/12.25 % Rec. Clause-clause subsumption calls : 1381352
% 46.66/12.25 % Non-unit clause-clause subsumptions : 8800
% 46.66/12.25 % Unit Clause-clause subsumption calls : 53406
% 46.66/12.25 % Rewrite failures with RHS unbound : 0
% 46.66/12.25 % BW rewrite match attempts : 1306
% 46.66/12.25 % BW rewrite match successes : 27
% 46.66/12.25 % Condensation attempts : 0
% 46.66/12.25 % Condensation successes : 0
% 46.66/12.25 % Termbank termtop insertions : 7181875
% 46.66/12.25 % Search garbage collected termcells : 2418
% 46.66/12.25
% 46.66/12.25 % -------------------------------------------------
% 46.66/12.25 % User time : 6.460 s
% 46.66/12.25 % System time : 0.197 s
% 46.66/12.25 % Total time : 6.657 s
% 46.66/12.25 % Maximum resident set size: 4256 pages
% 46.66/12.25
% 46.66/12.25 % -------------------------------------------------
% 46.66/12.25 % User time : 32.326 s
% 46.66/12.25 % System time : 0.929 s
% 46.66/12.25 % Total time : 33.255 s
% 46.66/12.25 % Maximum resident set size: 4608 pages
% 46.66/12.25 % E exiting
%------------------------------------------------------------------------------