%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV460+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 05:23:19 PM UTC 2026
% Result : Theorem 7.98s 5.80s
% Output : CNFRefutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 21 unt; 0 def)
% Number of atoms : 375 ( 124 equ)
% Maximal formula atoms : 72 ( 8 avg)
% Number of connectives : 493 ( 163 ~; 110 |; 159 &)
% ( 3 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 17 con; 0-2 aty)
% Number of variables : 190 ( 20 sgn 149 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj,conjecture,
! [X12,X13,X5,X6] :
( ( ! [X7,X14] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7] :
( index(status,host(X7)) = elec_2
=> ~ leq(index(pendack,host(X7)),host(X7)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ 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,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(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,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))) )
& 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)
=> ! [X16] :
( host(X5) != host(X16)
=> ( ( ~ leq(host(X7),host(X16))
& setIn(X7,alive)
& setIn(X16,alive)
& index(status,host(X16)) = elec_2 )
=> ~ leq(s(host(X5)),index(pendack,host(X16))) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
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_62,axiom,
! [X5,X6,X7] :
( ( leq(X5,X6)
& leq(X6,X7) )
=> leq(X5,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_62) ).
fof(axiom_02,axiom,
! [X3] : leq(s(zero),host(X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(axiom_58,axiom,
! [X5] : ~ leq(s(X5),X5),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
fof(axiom_63,axiom,
! [X5,X6] :
( leq(X5,X6)
<=> leq(s(X5),s(X6)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_63) ).
fof(c_0_6,plain,
! [X5,X6,X12] :
( epred1_3(X12,X6,X5)
<=> ( ! [X7,X14] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7] :
( index(status,host(X7)) = elec_2
=> ~ leq(index(pendack,host(X7)),host(X7)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ 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,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(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,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))) )
& queue(host(X5)) = cons(m_Down(X6),X12) ) ),
introduced(definition) ).
fof(c_0_7,plain,
! [X5,X6,X12] :
( epred1_3(X12,X6,X5)
=> ( ! [X7,X14] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7] :
( index(status,host(X7)) = elec_2
=> ~ leq(index(pendack,host(X7)),host(X7)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ 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,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(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,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))) )
& queue(host(X5)) = cons(m_Down(X6),X12) ) ),
inference(split_equiv,[status(thm)],[c_0_6]) ).
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)
=> ! [X16] :
( host(X5) != host(X16)
=> ( ( ~ leq(host(X7),host(X16))
& setIn(X7,alive)
& setIn(X16,alive)
& index(status,host(X16)) = elec_2 )
=> ~ leq(s(host(X5)),index(pendack,host(X16))) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_6]) ).
fof(c_0_9,plain,
! [X249,X250,X251] :
( ( ~ elem(X249,cons(X250,X251))
| X249 = X250
| elem(X249,X251) )
& ( X249 != X250
| elem(X249,cons(X250,X251)) )
& ( ~ elem(X249,X251)
| elem(X249,cons(X250,X251)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])]) ).
fof(c_0_10,plain,
! [X304,X305,X306,X307,X308,X309,X310,X311,X312,X313,X314,X315,X316,X317,X318,X319,X320,X321,X322,X323,X324,X325,X326,X327,X328,X329,X330,X331,X332] :
( ( ~ elem(m_Halt(X308),queue(host(X307)))
| ~ leq(host(X307),host(X308))
| ~ epred1_3(X306,X305,X304) )
& ( index(status,host(X309)) != elec_2
| ~ leq(index(pendack,host(X309)),host(X309))
| ~ epred1_3(X306,X305,X304) )
& ( ~ elem(m_Ack(X312,X310),queue(host(X311)))
| ~ leq(host(X310),host(X312))
| ~ epred1_3(X306,X305,X304) )
& ( X314 = X313
| host(X314) != host(X313)
| ~ setIn(X313,alive)
| ~ setIn(X314,alive)
| ~ epred1_3(X306,X305,X304) )
& ( ~ setIn(X316,alive)
| index(status,host(X316)) != elec_2
| ~ elem(m_Ack(X315,X316),queue(host(X315)))
| ~ epred1_3(X306,X305,X304) )
& ( index(status,host(X317)) != elec_1
| ~ setIn(X317,alive)
| index(elid,host(X317)) = X317
| ~ epred1_3(X306,X305,X304) )
& ( index(status,host(X317)) != elec_2
| ~ setIn(X317,alive)
| index(elid,host(X317)) = X317
| ~ epred1_3(X306,X305,X304) )
& ( ~ setIn(X318,alive)
| ~ setIn(X319,alive)
| ~ setIn(host(X319),index(down,host(X318)))
| index(status,host(X319)) != elec_2
| leq(index(pendack,host(X319)),host(X318))
| ~ epred1_3(X306,X305,X304) )
& ( leq(host(X322),host(X320))
| ~ setIn(X320,alive)
| ~ setIn(X322,alive)
| host(X322) != host(X321)
| index(status,host(X322)) != elec_2
| ~ elem(m_Down(X321),queue(host(X320)))
| ~ epred1_3(X306,X305,X304) )
& ( leq(host(X323),host(X324))
| ~ setIn(X323,alive)
| ~ setIn(X324,alive)
| index(status,host(X323)) != elec_2
| index(status,host(X324)) != elec_2
| leq(index(pendack,host(X324)),host(X323))
| ~ epred1_3(X306,X305,X304) )
& ( ~ setIn(X325,alive)
| ~ setIn(X327,alive)
| host(X327) != host(X326)
| index(status,host(X325)) != elec_2
| index(status,host(X327)) != elec_2
| ~ elem(m_Ack(X325,X326),queue(host(X325)))
| ~ epred1_3(X306,X305,X304) )
& ( ~ setIn(X328,alive)
| ~ setIn(X330,alive)
| ~ elem(m_Down(X329),queue(host(X328)))
| host(X330) != host(X329)
| index(status,host(X330)) != elec_2
| leq(index(pendack,host(X330)),host(X328))
| ~ epred1_3(X306,X305,X304) )
& ( leq(host(X331),host(X332))
| ~ setIn(X331,alive)
| ~ setIn(X332,alive)
| index(status,host(X331)) != elec_2
| index(status,host(X332)) != elec_2
| ~ leq(index(pendack,host(X331)),index(pendack,host(X332)))
| ~ epred1_3(X306,X305,X304) )
& ( queue(host(X304)) = cons(m_Down(X305),X306)
| ~ epred1_3(X306,X305,X304) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_11,negated_conjecture,
! [X301] :
( 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),X301)
| ~ leq(s(zero),X301)
| setIn(X301,index(down,host(esk6_0)))
| X301 = 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(host(esk8_0),host(esk9_0))
& setIn(esk8_0,alive)
& setIn(esk9_0,alive)
& index(status,host(esk9_0)) = elec_2
& leq(s(host(esk6_0)),index(pendack,host(esk9_0))) ),
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])])])])]) ).
cnf(c_0_12,plain,
( elem(X1,cons(X2,X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( queue(host(X1)) = cons(m_Down(X2),X3)
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
epred1_3(esk5_0,esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X290,X291,X292] :
( ~ leq(X290,X291)
| ~ leq(X291,X292)
| leq(X290,X292) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_62])]) ).
fof(c_0_16,plain,
! [X173] : leq(s(zero),host(X173)),
inference(variable_rename,[status(thm)],[axiom_02]) ).
cnf(c_0_17,plain,
elem(X1,cons(X1,X2)),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
cons(m_Down(esk7_0),esk5_0) = queue(host(esk6_0)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_19,plain,
! [X5] : ~ leq(s(X5),X5),
inference(fof_simplification,[status(thm)],[axiom_58]) ).
cnf(c_0_20,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
leq(s(host(esk6_0)),index(pendack,host(esk9_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_22,plain,
! [X293,X294] :
( ( ~ leq(X293,X294)
| leq(s(X293),s(X294)) )
& ( ~ leq(s(X293),s(X294))
| leq(X293,X294) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_63])]) ).
cnf(c_0_23,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_11]) ).
cnf(c_0_24,plain,
leq(s(zero),host(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( leq(index(pendack,host(X2)),host(X1))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| ~ elem(m_Down(X3),queue(host(X1)))
| host(X2) != host(X3)
| index(status,host(X2)) != elec_2
| ~ epred1_3(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,negated_conjecture,
elem(m_Down(esk7_0),queue(host(esk6_0))),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_27,negated_conjecture,
setIn(esk6_0,alive),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_28,plain,
! [X284] : ~ leq(s(X284),X284),
inference(variable_rename,[status(thm)],[c_0_19]) ).
cnf(c_0_29,negated_conjecture,
( leq(X1,index(pendack,host(esk9_0)))
| ~ leq(X1,s(host(esk6_0))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_30,plain,
( leq(s(X1),s(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
( leq(index(pendack,host(X2)),host(X1))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| ~ setIn(host(X2),index(down,host(X1)))
| index(status,host(X2)) != elec_2
| ~ epred1_3(X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,negated_conjecture,
( host(X1) = host(esk7_0)
| leq(host(esk6_0),host(X1))
| setIn(host(X1),index(down,host(esk6_0))) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( leq(index(pendack,host(X1)),host(esk6_0))
| index(status,host(X1)) != elec_2
| host(X1) != host(esk7_0)
| ~ epred1_3(X2,X3,X4)
| ~ setIn(X1,alive) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_34,plain,
~ leq(s(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( leq(s(X1),index(pendack,host(esk9_0)))
| ~ leq(X1,host(esk6_0)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
~ leq(host(esk8_0),host(esk9_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_37,negated_conjecture,
host(esk6_0) = host(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_38,plain,
( leq(index(pendack,host(X1)),host(esk6_0))
| leq(host(esk6_0),host(X1))
| index(status,host(X1)) != elec_2
| ~ epred1_3(X2,X3,X4)
| ~ setIn(X1,alive) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_27])]),c_0_33]) ).
cnf(c_0_39,negated_conjecture,
index(status,host(esk9_0)) = elec_2,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_40,negated_conjecture,
setIn(esk9_0,alive),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_41,negated_conjecture,
~ leq(index(pendack,host(esk9_0)),host(esk6_0)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,negated_conjecture,
~ leq(host(esk6_0),host(esk9_0)),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
~ epred1_3(X1,X2,X3),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]),c_0_41]),c_0_42]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_14,c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV460+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % 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 05:17:35 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 7.98/5.80 % Version : CSE_E---1.7
% 7.98/5.80 % Problem : theBenchmark.p
% 7.98/5.80 % SZS status Theorem for theBenchmark.p
% 7.98/5.80 % SZS output start CNFRefutation
% See solution above
% 7.98/5.82 % Total time : 4.373s
%------------------------------------------------------------------------------