TSTP Solution File: SWV451+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV451+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 : Thu Aug 31 21:41:19 EDT 2023
% Result : Theorem 165.95s 165.92s
% Output : CNFRefutation 166.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 55
% Syntax : Number of formulae : 102 ( 20 unt; 49 typ; 0 def)
% Number of atoms : 310 ( 140 equ)
% Maximal formula atoms : 51 ( 5 avg)
% Number of connectives : 413 ( 156 ~; 100 |; 104 &)
% ( 3 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 27 >; 11 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 43 ( 43 usr; 22 con; 0-2 aty)
% Number of variables : 181 ( 24 sgn; 124 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
m_Ack: ( $i * $i ) > $i ).
tff(decl_23,type,
host: $i > $i ).
tff(decl_24,type,
queue: $i > $i ).
tff(decl_25,type,
elem: ( $i * $i ) > $o ).
tff(decl_26,type,
pids: $i ).
tff(decl_27,type,
setIn: ( $i * $i ) > $o ).
tff(decl_28,type,
s: $i > $i ).
tff(decl_29,type,
zero: $i ).
tff(decl_30,type,
leq: ( $i * $i ) > $o ).
tff(decl_31,type,
nbr_proc: $i ).
tff(decl_32,type,
elec_1: $i ).
tff(decl_33,type,
elec_2: $i ).
tff(decl_34,type,
wait: $i ).
tff(decl_35,type,
norm: $i ).
tff(decl_36,type,
m_Halt: $i > $i ).
tff(decl_37,type,
m_Down: $i > $i ).
tff(decl_38,type,
m_NotNorm: $i > $i ).
tff(decl_39,type,
m_Ldr: $i > $i ).
tff(decl_40,type,
m_NormQ: $i > $i ).
tff(decl_41,type,
nil: $i ).
tff(decl_42,type,
alive: $i ).
tff(decl_43,type,
cons: ( $i * $i ) > $i ).
tff(decl_44,type,
head: $i > $i ).
tff(decl_45,type,
tail: $i > $i ).
tff(decl_46,type,
snoc: ( $i * $i ) > $i ).
tff(decl_47,type,
last: $i > $i ).
tff(decl_48,type,
init: $i > $i ).
tff(decl_49,type,
q_nil: $i ).
tff(decl_50,type,
pidElem: $i > $o ).
tff(decl_51,type,
pidMsg: $i > $i ).
tff(decl_52,type,
ordered: $i > $o ).
tff(decl_53,type,
setEmpty: $i ).
tff(decl_54,type,
ldr: $i ).
tff(decl_55,type,
index: ( $i * $i ) > $i ).
tff(decl_56,type,
status: $i ).
tff(decl_57,type,
elid: $i ).
tff(decl_58,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_59,type,
esk1_1: $i > $i ).
tff(decl_60,type,
esk2_1: $i > $i ).
tff(decl_61,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk5_0: $i ).
tff(decl_64,type,
esk6_0: $i ).
tff(decl_65,type,
esk7_0: $i ).
tff(decl_66,type,
esk8_0: $i ).
tff(decl_67,type,
esk9_0: $i ).
tff(decl_68,type,
esk10_0: $i ).
tff(decl_69,type,
esk11_0: $i ).
tff(decl_70,type,
esk12_0: $i ).
fof(conj,conjecture,
! [X12,X13,X5,X6] :
( ( ! [X7,X14] :
( setIn(X14,alive)
=> ~ elem(m_Down(X14),queue(host(X7))) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> ~ setIn(X14,alive) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> host(X14) != host(X7) )
& ! [X7,X14] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( ~ setIn(X7,alive)
& leq(X14,X7)
& host(X14) = host(X7) )
=> ~ setIn(X14,alive) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X16,X15,X14] :
( ( host(X15) != host(X7)
& setIn(X7,alive)
& setIn(X15,alive)
& host(X16) = host(X7)
& host(X14) = host(X15) )
=> ~ ( elem(m_Down(X14),queue(host(X7)))
& elem(m_Down(X16),queue(host(X15))) ) )
& queue(host(X6)) = cons(m_NotNorm(X5),X12) )
=> ( setIn(X6,alive)
=> ( ( index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm
& index(elid,host(X6)) = X5 )
=> ( ( ! [X7] :
( host(X6) = host(X7)
=> leq(X7,X13) )
& ~ setIn(X13,pids)
& host(X6) = host(X13) )
=> ( host(X13) = s(zero)
=> ( ~ leq(nbr_proc,host(X13))
=> ! [X7] :
( s(host(X13)) = host(X7)
=> ( host(X6) != host(X7)
=> ! [X17,X18] :
( s(host(X13)) != host(X18)
=> ( host(X6) = host(X18)
=> ! [X19] :
( ( ( ( X7 != X6
& setIn(X7,alive) )
| X7 = X13 )
& ( ( X18 != X6
& setIn(X18,alive) )
| X18 = X13 )
& host(X18) != host(X7)
& host(X17) = host(X7)
& host(X19) = host(X18) )
=> ~ ( elem(m_Down(X17),X12)
& elem(m_Down(X19),snoc(queue(host(X7)),m_Halt(X13))) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(axiom_47,axiom,
! [X5,X6,X4] :
( elem(X5,snoc(X4,X6))
<=> ( X5 = X6
| elem(X5,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
fof(axiom_17,axiom,
! [X5,X6] : m_Down(X5) != m_Halt(X6),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_17) ).
fof(axiom_01,axiom,
! [X3,X4] :
( s(host(X3)) = host(X4)
=> host(X3) != host(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_01) ).
fof(axiom_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(c_0_5,plain,
! [X5,X6,X12] :
( epred1_3(X12,X6,X5)
<=> ( ! [X7,X14] :
( setIn(X14,alive)
=> ~ elem(m_Down(X14),queue(host(X7))) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> ~ setIn(X14,alive) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> host(X14) != host(X7) )
& ! [X7,X14] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( ~ setIn(X7,alive)
& leq(X14,X7)
& host(X14) = host(X7) )
=> ~ setIn(X14,alive) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X16,X15,X14] :
( ( host(X15) != host(X7)
& setIn(X7,alive)
& setIn(X15,alive)
& host(X16) = host(X7)
& host(X14) = host(X15) )
=> ~ ( elem(m_Down(X14),queue(host(X7)))
& elem(m_Down(X16),queue(host(X15))) ) )
& queue(host(X6)) = cons(m_NotNorm(X5),X12) ) ),
introduced(definition) ).
fof(c_0_6,plain,
! [X5,X6,X12] :
( epred1_3(X12,X6,X5)
=> ( ! [X7,X14] :
( setIn(X14,alive)
=> ~ elem(m_Down(X14),queue(host(X7))) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> ~ setIn(X14,alive) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> host(X14) != host(X7) )
& ! [X7,X14] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( ~ setIn(X7,alive)
& leq(X14,X7)
& host(X14) = host(X7) )
=> ~ setIn(X14,alive) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X16,X15,X14] :
( ( host(X15) != host(X7)
& setIn(X7,alive)
& setIn(X15,alive)
& host(X16) = host(X7)
& host(X14) = host(X15) )
=> ~ ( elem(m_Down(X14),queue(host(X7)))
& elem(m_Down(X16),queue(host(X15))) ) )
& queue(host(X6)) = cons(m_NotNorm(X5),X12) ) ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
fof(c_0_7,negated_conjecture,
~ ! [X12,X13,X5,X6] :
( epred1_3(X12,X6,X5)
=> ( setIn(X6,alive)
=> ( ( index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm
& index(elid,host(X6)) = X5 )
=> ( ( ! [X7] :
( host(X6) = host(X7)
=> leq(X7,X13) )
& ~ setIn(X13,pids)
& host(X6) = host(X13) )
=> ( host(X13) = s(zero)
=> ( ~ leq(nbr_proc,host(X13))
=> ! [X7] :
( s(host(X13)) = host(X7)
=> ( host(X6) != host(X7)
=> ! [X17,X18] :
( s(host(X13)) != host(X18)
=> ( host(X6) = host(X18)
=> ! [X19] :
( ( ( ( X7 != X6
& setIn(X7,alive) )
| X7 = X13 )
& ( ( X18 != X6
& setIn(X18,alive) )
| X18 = X13 )
& host(X18) != host(X7)
& host(X17) = host(X7)
& host(X19) = host(X18) )
=> ~ ( elem(m_Down(X17),X12)
& elem(m_Down(X19),snoc(queue(host(X7)),m_Halt(X13))) ) ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_5]) ).
fof(c_0_8,plain,
! [X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179] :
( ( ~ setIn(X162,alive)
| ~ elem(m_Down(X162),queue(host(X161)))
| ~ epred1_3(X160,X159,X158) )
& ( ~ elem(m_Down(X164),queue(host(X163)))
| ~ setIn(X164,alive)
| ~ epred1_3(X160,X159,X158) )
& ( ~ elem(m_Down(X166),queue(host(X165)))
| host(X166) != host(X165)
| ~ epred1_3(X160,X159,X158) )
& ( ~ elem(m_Halt(X168),queue(host(X167)))
| ~ leq(host(X167),host(X168))
| ~ epred1_3(X160,X159,X158) )
& ( ~ elem(m_Ack(X171,X169),queue(host(X170)))
| ~ leq(host(X169),host(X171))
| ~ epred1_3(X160,X159,X158) )
& ( setIn(X172,alive)
| ~ leq(X173,X172)
| host(X173) != host(X172)
| ~ setIn(X173,alive)
| ~ epred1_3(X160,X159,X158) )
& ( X175 = X174
| host(X175) != host(X174)
| ~ setIn(X174,alive)
| ~ setIn(X175,alive)
| ~ epred1_3(X160,X159,X158) )
& ( host(X178) = host(X176)
| ~ setIn(X176,alive)
| ~ setIn(X178,alive)
| host(X177) != host(X176)
| host(X179) != host(X178)
| ~ elem(m_Down(X179),queue(host(X176)))
| ~ elem(m_Down(X177),queue(host(X178)))
| ~ epred1_3(X160,X159,X158) )
& ( queue(host(X159)) = cons(m_NotNorm(X158),X160)
| ~ epred1_3(X160,X159,X158) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_9,negated_conjecture,
! [X153] :
( epred1_3(esk5_0,esk8_0,esk7_0)
& setIn(esk8_0,alive)
& index(ldr,host(esk8_0)) = host(esk8_0)
& index(status,host(esk8_0)) = norm
& index(elid,host(esk8_0)) = esk7_0
& ( host(esk8_0) != host(X153)
| leq(X153,esk6_0) )
& ~ setIn(esk6_0,pids)
& host(esk8_0) = host(esk6_0)
& host(esk6_0) = s(zero)
& ~ leq(nbr_proc,host(esk6_0))
& s(host(esk6_0)) = host(esk9_0)
& host(esk8_0) != host(esk9_0)
& s(host(esk6_0)) != host(esk11_0)
& host(esk8_0) = host(esk11_0)
& ( esk9_0 != esk8_0
| esk9_0 = esk6_0 )
& ( setIn(esk9_0,alive)
| esk9_0 = esk6_0 )
& ( esk11_0 != esk8_0
| esk11_0 = esk6_0 )
& ( setIn(esk11_0,alive)
| esk11_0 = esk6_0 )
& host(esk11_0) != host(esk9_0)
& host(esk10_0) = host(esk9_0)
& host(esk12_0) = host(esk11_0)
& elem(m_Down(esk10_0),esk5_0)
& elem(m_Down(esk12_0),snoc(queue(host(esk9_0)),m_Halt(esk6_0))) ),
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_7])])])])]) ).
cnf(c_0_10,plain,
( X1 = X2
| host(X1) != host(X2)
| ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| ~ epred1_3(X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
epred1_3(esk5_0,esk8_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
( setIn(X1,alive)
| ~ leq(X2,X1)
| host(X2) != host(X1)
| ~ setIn(X2,alive)
| ~ epred1_3(X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( X1 = X2
| host(X1) != host(X2)
| ~ setIn(X2,alive)
| ~ setIn(X1,alive) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
setIn(esk8_0,alive),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
( setIn(X1,alive)
| host(X1) != host(X2)
| ~ leq(X2,X1)
| ~ setIn(X2,alive) ),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
fof(c_0_16,plain,
! [X103,X104,X105] :
( ( ~ elem(X103,snoc(X105,X104))
| X103 = X104
| elem(X103,X105) )
& ( X103 != X104
| elem(X103,snoc(X105,X104)) )
& ( ~ elem(X103,X105)
| elem(X103,snoc(X105,X104)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_47])])]) ).
fof(c_0_17,plain,
! [X43,X44] : m_Down(X43) != m_Halt(X44),
inference(variable_rename,[status(thm)],[axiom_17]) ).
fof(c_0_18,plain,
! [X22,X23] :
( s(host(X22)) != host(X23)
| host(X22) != host(X23) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_01])]) ).
cnf(c_0_19,negated_conjecture,
host(esk12_0) = host(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,negated_conjecture,
host(esk8_0) = host(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_21,negated_conjecture,
s(host(esk6_0)) = host(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,negated_conjecture,
host(esk8_0) = host(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,negated_conjecture,
( X1 = esk8_0
| host(X1) != host(esk8_0)
| ~ setIn(X1,alive) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_24,negated_conjecture,
( setIn(X1,alive)
| host(X1) != host(esk8_0)
| ~ leq(esk8_0,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_25,plain,
( X1 = X3
| elem(X1,X2)
| ~ elem(X1,snoc(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
elem(m_Down(esk12_0),snoc(queue(host(esk9_0)),m_Halt(esk6_0))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,plain,
m_Down(X1) != m_Halt(X2),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,plain,
( s(host(X1)) != host(X2)
| host(X1) != host(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,negated_conjecture,
host(esk12_0) = host(esk8_0),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_30,negated_conjecture,
s(host(esk8_0)) = host(esk9_0),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,negated_conjecture,
( X1 = esk8_0
| host(X1) != host(esk8_0)
| ~ leq(esk8_0,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( leq(X1,esk6_0)
| host(esk8_0) != host(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_33,plain,
( host(X1) = host(X2)
| ~ setIn(X2,alive)
| ~ setIn(X1,alive)
| host(X3) != host(X2)
| host(X4) != host(X1)
| ~ elem(m_Down(X4),queue(host(X2)))
| ~ elem(m_Down(X3),queue(host(X1)))
| ~ epred1_3(X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,negated_conjecture,
elem(m_Down(esk12_0),queue(host(esk9_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( host(esk9_0) != host(X1)
| host(esk8_0) != host(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_36,negated_conjecture,
( setIn(esk9_0,alive)
| esk9_0 = esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_37,negated_conjecture,
esk6_0 = esk8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_22])]) ).
fof(c_0_38,plain,
! [X100,X101,X102] :
( ( ~ elem(X100,cons(X101,X102))
| X100 = X101
| elem(X100,X102) )
& ( X100 != X101
| elem(X100,cons(X101,X102)) )
& ( ~ elem(X100,X102)
| elem(X100,cons(X101,X102)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])]) ).
cnf(c_0_39,plain,
( queue(host(X1)) = cons(m_NotNorm(X2),X3)
| ~ epred1_3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,negated_conjecture,
( host(esk9_0) != host(X1)
| host(X2) != host(esk8_0)
| ~ epred1_3(X3,X4,X5)
| ~ setIn(esk9_0,alive)
| ~ setIn(X2,alive)
| ~ elem(m_Down(X1),queue(host(X2))) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_29]),c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( esk9_0 = esk8_0
| setIn(esk9_0,alive) ),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
( elem(X1,cons(X3,X2))
| ~ elem(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,negated_conjecture,
cons(m_NotNorm(esk7_0),esk5_0) = queue(host(esk8_0)),
inference(spm,[status(thm)],[c_0_39,c_0_11]) ).
cnf(c_0_44,negated_conjecture,
( esk9_0 = esk8_0
| host(esk9_0) != host(X1)
| host(X2) != host(esk8_0)
| ~ epred1_3(X3,X4,X5)
| ~ setIn(X2,alive)
| ~ elem(m_Down(X1),queue(host(X2))) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( elem(X1,queue(host(esk8_0)))
| ~ elem(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,negated_conjecture,
( esk9_0 = esk8_0
| host(esk9_0) != host(X1)
| ~ epred1_3(X2,X3,X4)
| ~ elem(m_Down(X1),esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_14])]) ).
cnf(c_0_47,negated_conjecture,
elem(m_Down(esk10_0),esk5_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_48,negated_conjecture,
host(esk10_0) = host(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_49,negated_conjecture,
( esk9_0 = esk8_0
| ~ epred1_3(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_50,negated_conjecture,
host(esk8_0) != host(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_51,negated_conjecture,
esk9_0 = esk8_0,
inference(spm,[status(thm)],[c_0_49,c_0_11]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV451+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 08:20:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 165.95/165.92 % Version : CSE_E---1.5
% 165.95/165.92 % Problem : theBenchmark.p
% 165.95/165.92 % Proof found
% 165.95/165.92 % SZS status Theorem for theBenchmark.p
% 165.95/165.92 % SZS output start Proof
% See solution above
% 166.03/165.92 % Total time : 165.362000 s
% 166.03/165.92 % SZS output end Proof
% 166.03/165.92 % Total time : 165.374000 s
%------------------------------------------------------------------------------