%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV469+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:23:20 PM UTC 2026
% Result : Theorem 3.45s 3.07s
% Output : CNFRefutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 60 ( 23 unt; 0 def)
% Number of atoms : 597 ( 237 equ)
% Maximal formula atoms : 130 ( 9 avg)
% Number of connectives : 810 ( 273 ~; 198 |; 259 &)
% ( 8 <=>; 72 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 17 con; 0-6 aty)
% Number of variables : 253 ( 17 sgn 212 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj,conjecture,
! [X12,X13,X5,X6] :
( ( ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X14),queue(host(X7))) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& setIn(host(X14),index(down,host(X7)))
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> ~ ( setIn(X7,alive)
& setIn(host(X14),index(down,host(X7))) ) )
& ! [X7,X15,X14] :
( ( ~ leq(host(X14),host(X7))
& setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Down(X15),queue(host(X7))) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X15),queue(host(X7))) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& elem(m_Down(X15),queue(host(X7)))
& host(X14) = host(X15)
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& host(X15) = host(X14)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> ~ ( setIn(X7,alive)
& elem(m_Down(X15),queue(host(X7))) ) )
& ! [X7,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7)
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X15,X14] :
( ( ! [X16] :
( ( ~ leq(host(X14),X16)
& leq(s(zero),X16) )
=> ( setIn(X16,index(down,host(X14)))
| X16 = host(X15) ) )
& ~ leq(host(X14),host(X7))
& elem(m_Down(X15),queue(host(X14)))
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& queue(host(X5)) = cons(m_Down(X6),X12) )
=> ( setIn(X5,alive)
=> ( ~ leq(host(X5),host(X6))
=> ( ~ ( ( index(ldr,host(X5)) = host(X6)
& index(status,host(X5)) = norm )
| ( index(status,host(X5)) = wait
& host(X6) = host(index(elid,host(X5))) ) )
=> ( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& index(status,host(X5)) = elec_1 )
=> ( ~ leq(nbr_proc,host(X5))
=> ! [X7] :
( host(X5) != host(X7)
=> ! [X17] :
( host(X5) = host(X17)
=> ( ( ~ leq(s(host(X5)),host(X7))
& setIn(X17,alive) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(axiom_60,axiom,
! [X5,X6] :
( leq(X5,X6)
| leq(X6,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_60) ).
fof(axiom_64,axiom,
! [X5,X6] :
( leq(X5,s(X6))
<=> ( X5 = s(X6)
| leq(X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
fof(axiom_61,axiom,
! [X5,X6] :
( ( leq(X5,X6)
& leq(X6,X5) )
<=> X5 = X6 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(axiom_02,axiom,
! [X3] : leq(s(zero),host(X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(axiom_46,axiom,
! [X5,X6,X4] :
( elem(X5,cons(X6,X4))
<=> ( X5 = X6
| elem(X5,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(axiom_59,axiom,
! [X5] : leq(X5,X5),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_59) ).
fof(c_0_7,plain,
! [X5,X6,X12] :
( epred1_3(X12,X6,X5)
<=> ( ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X14),queue(host(X7))) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& setIn(host(X14),index(down,host(X7)))
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> ~ ( setIn(X7,alive)
& setIn(host(X14),index(down,host(X7))) ) )
& ! [X7,X15,X14] :
( ( ~ leq(host(X14),host(X7))
& setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Down(X15),queue(host(X7))) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X15),queue(host(X7))) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& elem(m_Down(X15),queue(host(X7)))
& host(X14) = host(X15)
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& host(X15) = host(X14)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> ~ ( setIn(X7,alive)
& elem(m_Down(X15),queue(host(X7))) ) )
& ! [X7,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7)
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X15,X14] :
( ( ! [X16] :
( ( ~ leq(host(X14),X16)
& leq(s(zero),X16) )
=> ( setIn(X16,index(down,host(X14)))
| X16 = host(X15) ) )
& ~ leq(host(X14),host(X7))
& elem(m_Down(X15),queue(host(X14)))
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& queue(host(X5)) = cons(m_Down(X6),X12) ) ),
introduced(definition) ).
fof(c_0_8,negated_conjecture,
~ ! [X12,X13,X5,X6] :
( epred1_3(X12,X6,X5)
=> ( setIn(X5,alive)
=> ( ~ leq(host(X5),host(X6))
=> ( ~ ( ( index(ldr,host(X5)) = host(X6)
& index(status,host(X5)) = norm )
| ( index(status,host(X5)) = wait
& host(X6) = host(index(elid,host(X5))) ) )
=> ( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& index(status,host(X5)) = elec_1 )
=> ( ~ leq(nbr_proc,host(X5))
=> ! [X7] :
( host(X5) != host(X7)
=> ! [X17] :
( host(X5) = host(X17)
=> ( ( ~ leq(s(host(X5)),host(X7))
& setIn(X17,alive) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_7]) ).
fof(c_0_9,plain,
! [X5,X6,X12] :
( epred1_3(X12,X6,X5)
=> ( ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X14),queue(host(X7))) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& setIn(host(X14),index(down,host(X7)))
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> ~ ( setIn(X7,alive)
& setIn(host(X14),index(down,host(X7))) ) )
& ! [X7,X15,X14] :
( ( ~ leq(host(X14),host(X7))
& setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Down(X15),queue(host(X7))) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X15),queue(host(X7))) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& elem(m_Down(X15),queue(host(X7)))
& host(X14) = host(X15)
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& host(X15) = host(X14)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> ~ ( setIn(X7,alive)
& elem(m_Down(X15),queue(host(X7))) ) )
& ! [X7,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7)
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X15,X14] :
( ( ! [X16] :
( ( ~ leq(host(X14),X16)
& leq(s(zero),X16) )
=> ( setIn(X16,index(down,host(X14)))
| X16 = host(X15) ) )
& ~ leq(host(X14),host(X7))
& elem(m_Down(X15),queue(host(X14)))
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& queue(host(X5)) = cons(m_Down(X6),X12) ) ),
inference(split_equiv,[status(thm)],[c_0_7]) ).
fof(c_0_10,negated_conjecture,
! [X315] :
( epred1_3(esk5_0,esk7_0,esk6_0)
& setIn(esk6_0,alive)
& ~ leq(host(esk6_0),host(esk7_0))
& ( index(ldr,host(esk6_0)) != host(esk7_0)
| index(status,host(esk6_0)) != norm )
& ( index(status,host(esk6_0)) != wait
| host(esk7_0) != host(index(elid,host(esk6_0))) )
& ( leq(host(esk6_0),X315)
| ~ leq(s(zero),X315)
| setIn(X315,index(down,host(esk6_0)))
| X315 = host(esk7_0) )
& index(status,host(esk6_0)) = elec_1
& ~ leq(nbr_proc,host(esk6_0))
& host(esk6_0) != host(esk8_0)
& host(esk6_0) = host(esk9_0)
& ~ leq(s(host(esk6_0)),host(esk8_0))
& setIn(esk9_0,alive)
& setIn(esk8_0,alive)
& index(ldr,host(esk8_0)) = host(esk8_0)
& index(status,host(esk8_0)) = norm ),
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_8])])])])]) ).
fof(c_0_11,plain,
! [X300,X301] :
( leq(X300,X301)
| leq(X301,X300) ),
inference(variable_rename,[status(thm)],[axiom_60]) ).
fof(c_0_12,plain,
! [X318,X319,X320,X321,X322,X323,X324,X325,X326,X327,X328,X329,X330,X331,X332,X333,X334,X335,X336,X337,X338,X339,X340,X341,X342,X343,X344,X345,X346,X347,X348,X349,X350,X351,X352,X353,X354,X355,X356,X357,X358] :
( ( ~ elem(m_Ldr(X322),queue(host(X321)))
| ~ leq(host(X321),host(X322))
| ~ epred1_3(X320,X319,X318) )
& ( X324 = X323
| host(X324) != host(X323)
| ~ setIn(X323,alive)
| ~ setIn(X324,alive)
| ~ epred1_3(X320,X319,X318) )
& ( ~ setIn(X326,alive)
| index(status,host(X326)) != elec_2
| ~ elem(m_Ack(X325,X326),queue(host(X325)))
| ~ epred1_3(X320,X319,X318) )
& ( index(status,host(X327)) != elec_1
| ~ setIn(X327,alive)
| index(elid,host(X327)) = X327
| ~ epred1_3(X320,X319,X318) )
& ( index(status,host(X327)) != elec_2
| ~ setIn(X327,alive)
| index(elid,host(X327)) = X327
| ~ epred1_3(X320,X319,X318) )
& ( ~ setIn(X328,alive)
| ~ setIn(X329,alive)
| ~ setIn(host(X329),index(down,host(X328)))
| index(status,host(X329)) != elec_2
| leq(index(pendack,host(X329)),host(X328))
| ~ epred1_3(X320,X319,X318) )
& ( ~ setIn(X331,alive)
| index(status,host(X331)) != norm
| index(ldr,host(X331)) != host(X331)
| ~ setIn(X330,alive)
| ~ setIn(host(X331),index(down,host(X330)))
| ~ epred1_3(X320,X319,X318) )
& ( leq(host(X334),host(X332))
| ~ setIn(X332,alive)
| ~ setIn(X334,alive)
| host(X334) != host(X333)
| index(status,host(X334)) != elec_2
| ~ elem(m_Down(X333),queue(host(X332)))
| ~ epred1_3(X320,X319,X318) )
& ( leq(host(X335),host(X336))
| ~ setIn(X335,alive)
| ~ setIn(X336,alive)
| index(status,host(X335)) != elec_2
| index(status,host(X336)) != elec_2
| leq(index(pendack,host(X336)),host(X335))
| ~ epred1_3(X320,X319,X318) )
& ( ~ setIn(X339,alive)
| ~ elem(m_Ack(X339,X338),queue(host(X339)))
| host(X338) != host(X337)
| ~ setIn(X337,alive)
| index(ldr,host(X337)) != host(X337)
| index(status,host(X337)) != norm
| ~ epred1_3(X320,X319,X318) )
& ( ~ setIn(X340,alive)
| ~ setIn(X342,alive)
| host(X342) != host(X341)
| index(status,host(X340)) != elec_2
| index(status,host(X342)) != elec_2
| ~ elem(m_Ack(X340,X341),queue(host(X340)))
| ~ epred1_3(X320,X319,X318) )
& ( ~ setIn(X343,alive)
| ~ setIn(X345,alive)
| ~ elem(m_Down(X344),queue(host(X343)))
| host(X345) != host(X344)
| index(status,host(X345)) != elec_2
| leq(index(pendack,host(X345)),host(X343))
| ~ epred1_3(X320,X319,X318) )
& ( ~ setIn(X348,alive)
| host(X347) != host(X348)
| index(status,host(X348)) != norm
| index(ldr,host(X348)) != host(X348)
| ~ setIn(X346,alive)
| ~ elem(m_Down(X347),queue(host(X346)))
| ~ epred1_3(X320,X319,X318) )
& ( leq(index(pendack,host(X350)),host(X349))
| ~ setIn(X350,alive)
| index(status,host(X350)) != elec_2
| ~ setIn(X349,alive)
| index(ldr,host(X349)) != host(X349)
| index(status,host(X349)) != norm
| ~ epred1_3(X320,X319,X318) )
& ( leq(host(X351),host(X352))
| ~ setIn(X351,alive)
| ~ setIn(X352,alive)
| index(status,host(X351)) != elec_2
| index(status,host(X352)) != elec_2
| ~ leq(index(pendack,host(X351)),index(pendack,host(X352)))
| ~ epred1_3(X320,X319,X318) )
& ( ~ setIn(X355,alive)
| ~ elem(m_Down(X354),queue(host(X355)))
| host(X354) != host(X353)
| index(status,host(X355)) != elec_2
| ~ setIn(X353,alive)
| index(ldr,host(X353)) != host(X353)
| index(status,host(X353)) != norm
| ~ epred1_3(X320,X319,X318) )
& ( ~ leq(host(X358),esk10_6(X318,X319,X320,X356,X357,X358))
| leq(host(X358),host(X356))
| ~ elem(m_Down(X357),queue(host(X358)))
| index(status,host(X358)) != elec_1
| ~ setIn(X356,alive)
| index(ldr,host(X356)) != host(X356)
| index(status,host(X356)) != norm
| ~ epred1_3(X320,X319,X318) )
& ( leq(s(zero),esk10_6(X318,X319,X320,X356,X357,X358))
| leq(host(X358),host(X356))
| ~ elem(m_Down(X357),queue(host(X358)))
| index(status,host(X358)) != elec_1
| ~ setIn(X356,alive)
| index(ldr,host(X356)) != host(X356)
| index(status,host(X356)) != norm
| ~ epred1_3(X320,X319,X318) )
& ( ~ setIn(esk10_6(X318,X319,X320,X356,X357,X358),index(down,host(X358)))
| leq(host(X358),host(X356))
| ~ elem(m_Down(X357),queue(host(X358)))
| index(status,host(X358)) != elec_1
| ~ setIn(X356,alive)
| index(ldr,host(X356)) != host(X356)
| index(status,host(X356)) != norm
| ~ epred1_3(X320,X319,X318) )
& ( esk10_6(X318,X319,X320,X356,X357,X358) != host(X357)
| leq(host(X358),host(X356))
| ~ elem(m_Down(X357),queue(host(X358)))
| index(status,host(X358)) != elec_1
| ~ setIn(X356,alive)
| index(ldr,host(X356)) != host(X356)
| index(status,host(X356)) != norm
| ~ epred1_3(X320,X319,X318) )
& ( queue(host(X318)) = cons(m_Down(X319),X320)
| ~ epred1_3(X320,X319,X318) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
fof(c_0_13,plain,
( ~ epred7_0
<=> ! [X3,X4,X5] : ~ epred1_3(X3,X4,X5) ),
introduced(definition) ).
fof(c_0_14,plain,
! [X309,X310] :
( ( ~ leq(X309,s(X310))
| X309 = s(X310)
| leq(X309,X310) )
& ( X309 != s(X310)
| leq(X309,s(X310)) )
& ( ~ leq(X309,X310)
| leq(X309,s(X310)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])]) ).
cnf(c_0_15,negated_conjecture,
~ leq(s(host(esk6_0)),host(esk8_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( leq(X1,X2)
| leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
( ~ epred6_0
<=> ! [X2,X1] :
( ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| ~ setIn(host(X1),index(down,host(X2)))
| index(status,host(X1)) != norm
| index(ldr,host(X1)) != host(X1) ) ),
introduced(definition) ).
cnf(c_0_18,plain,
( ~ setIn(X1,alive)
| index(status,host(X1)) != norm
| index(ldr,host(X1)) != host(X1)
| ~ setIn(X2,alive)
| ~ setIn(host(X1),index(down,host(X2)))
| ~ epred1_3(X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( epred7_0
| ~ epred1_3(X1,X2,X3) ),
inference(split_equiv,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
epred1_3(esk5_0,esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_21,plain,
! [X302,X303] :
( ( ~ leq(X302,X303)
| ~ leq(X303,X302)
| X302 = X303 )
& ( leq(X302,X303)
| X302 != X303 )
& ( leq(X303,X302)
| X302 != X303 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])]) ).
cnf(c_0_22,plain,
( X1 = s(X2)
| leq(X1,X2)
| ~ leq(X1,s(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
leq(host(esk8_0),s(host(esk6_0))),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_24,plain,
! [X187] : leq(s(zero),host(X187)),
inference(variable_rename,[status(thm)],[axiom_02]) ).
cnf(c_0_25,plain,
( ~ epred7_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18,c_0_17]),c_0_13]) ).
cnf(c_0_26,negated_conjecture,
epred7_0,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_27,plain,
! [X263,X264,X265] :
( ( ~ elem(X263,cons(X264,X265))
| X263 = X264
| elem(X263,X265) )
& ( X263 != X264
| elem(X263,cons(X264,X265)) )
& ( ~ elem(X263,X265)
| elem(X263,cons(X264,X265)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])]) ).
fof(c_0_28,plain,
( ~ epred9_0
<=> ! [X4,X5,X6] : ~ epred1_3(X4,X5,X6) ),
introduced(definition) ).
cnf(c_0_29,plain,
( X1 = X2
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
( s(host(esk6_0)) = host(esk8_0)
| leq(host(esk8_0),host(esk6_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_31,negated_conjecture,
host(esk6_0) != host(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,plain,
( epred6_0
| index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| ~ setIn(host(X1),index(down,host(X2)))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive) ),
inference(split_equiv,[status(thm)],[c_0_17]) ).
cnf(c_0_33,negated_conjecture,
( leq(host(esk6_0),X1)
| setIn(X1,index(down,host(esk6_0)))
| X1 = host(esk7_0)
| ~ leq(s(zero),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_34,negated_conjecture,
setIn(esk6_0,alive),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_35,plain,
leq(s(zero),host(X1)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,plain,
~ epred6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
cnf(c_0_37,plain,
( elem(X1,cons(X2,X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
( queue(host(X1)) = cons(m_Down(X2),X3)
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_39,plain,
( ~ epred8_0
<=> ! [X3,X2,X1] :
( ~ 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) ) ),
introduced(definition) ).
cnf(c_0_40,plain,
( ~ setIn(X1,alive)
| host(X2) != host(X1)
| index(status,host(X1)) != norm
| index(ldr,host(X1)) != host(X1)
| ~ setIn(X3,alive)
| ~ elem(m_Down(X2),queue(host(X3)))
| ~ epred1_3(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_41,plain,
( epred9_0
| ~ epred1_3(X1,X2,X3) ),
inference(split_equiv,[status(thm)],[c_0_28]) ).
cnf(c_0_42,negated_conjecture,
( s(host(esk6_0)) = host(esk8_0)
| ~ leq(host(esk6_0),host(esk8_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_43,negated_conjecture,
( host(X1) = host(esk7_0)
| leq(host(esk6_0),host(X1))
| index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| ~ setIn(X1,alive) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_44,negated_conjecture,
index(ldr,host(esk8_0)) = host(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_45,negated_conjecture,
index(status,host(esk8_0)) = norm,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_46,negated_conjecture,
setIn(esk8_0,alive),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_47,plain,
! [X299] : leq(X299,X299),
inference(variable_rename,[status(thm)],[axiom_59]) ).
cnf(c_0_48,plain,
elem(X1,cons(X1,X2)),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_49,negated_conjecture,
cons(m_Down(esk7_0),esk5_0) = queue(host(esk6_0)),
inference(spm,[status(thm)],[c_0_38,c_0_20]) ).
cnf(c_0_50,plain,
( ~ epred9_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_40,c_0_39]),c_0_28]) ).
cnf(c_0_51,negated_conjecture,
epred9_0,
inference(spm,[status(thm)],[c_0_41,c_0_20]) ).
cnf(c_0_52,negated_conjecture,
( s(host(esk6_0)) = host(esk8_0)
| host(esk7_0) = host(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_53,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,plain,
( epred8_0
| index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| host(X1) != host(X2)
| ~ setIn(X1,alive)
| ~ setIn(X3,alive)
| ~ elem(m_Down(X2),queue(host(X3))) ),
inference(split_equiv,[status(thm)],[c_0_39]) ).
cnf(c_0_55,negated_conjecture,
elem(m_Down(esk7_0),queue(host(esk6_0))),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,plain,
~ epred8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]) ).
cnf(c_0_57,negated_conjecture,
host(esk7_0) = host(esk8_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_52]),c_0_53])]) ).
cnf(c_0_58,plain,
( index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| host(X1) != host(esk8_0)
| ~ setIn(X1,alive) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_34])]),c_0_56]),c_0_57]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_44]),c_0_45]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV469+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n020.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 05:17:50 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 3.45/3.07 % Version : CSE_E---1.7
% 3.45/3.07 % Problem : theBenchmark.p
% 3.45/3.07 % SZS status Theorem for theBenchmark.p
% 3.45/3.07 % SZS output start CNFRefutation
% See solution above
% 3.45/3.08 % Total time : 2.372s
%------------------------------------------------------------------------------