TSTP Solution File: SWV465+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV465+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 21:41:24 EDT 2023
% Result : Theorem 6.41s 6.48s
% Output : CNFRefutation 6.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 60
% Syntax : Number of formulae : 115 ( 41 unt; 51 typ; 0 def)
% Number of atoms : 498 ( 199 equ)
% Maximal formula atoms : 114 ( 7 avg)
% Number of connectives : 652 ( 218 ~; 151 |; 218 &)
% ( 4 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 71 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 28 >; 17 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 45 ( 45 usr; 23 con; 0-7 aty)
% Number of variables : 259 ( 33 sgn; 204 !; 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,
pendack: $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,
ldr: $i ).
tff(decl_59,type,
down: $i ).
tff(decl_60,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_61,type,
esk1_1: $i > $i ).
tff(decl_62,type,
esk2_1: $i > $i ).
tff(decl_63,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk5_0: $i ).
tff(decl_66,type,
esk6_0: $i ).
tff(decl_67,type,
esk7_0: $i ).
tff(decl_68,type,
esk8_0: $i ).
tff(decl_69,type,
esk9_0: $i ).
tff(decl_70,type,
esk10_0: $i ).
tff(decl_71,type,
esk11_0: $i ).
tff(decl_72,type,
esk12_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
fof(conj,conjecture,
! [X12,X13,X5] :
( ( ! [X6,X7] :
( elem(m_Ldr(X7),queue(host(X6)))
=> ~ leq(host(X6),host(X7)) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X7) != host(X6) )
& ! [X6,X7] :
( elem(m_Halt(X7),queue(host(X6)))
=> ~ leq(host(X6),host(X7)) )
& ! [X6,X7,X14] :
( elem(m_Ack(X14,X6),queue(host(X7)))
=> ~ leq(host(X6),host(X14)) )
& ! [X6,X7] :
( ( X7 != X6
& host(X7) = host(X6) )
=> ( ~ setIn(X6,alive)
| ~ setIn(X7,alive) ) )
& ! [X6,X7] :
( ( setIn(X7,alive)
& elem(m_Ack(X7,X6),queue(host(X7))) )
=> leq(host(X6),index(pendack,host(X7))) )
& ! [X6,X7] :
( ( setIn(X7,alive)
& index(status,host(X7)) = elec_1 )
=> ~ elem(m_Ack(X7,X6),queue(host(X7))) )
& ! [X6] :
( ( ( index(status,host(X6)) = elec_1
| index(status,host(X6)) = elec_2 )
& setIn(X6,alive) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X7] :
( ( ~ leq(host(X6),host(X7))
& setIn(X6,alive)
& setIn(X7,alive)
& index(status,host(X6)) = elec_2
& index(status,host(X7)) = elec_2 )
=> leq(index(pendack,host(X7)),host(X6)) )
& ! [X6,X7,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X7),queue(host(X14)))
& host(X7) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm ) )
& ! [X6,X7,X14] :
( ( setIn(X6,alive)
& setIn(X14,alive)
& host(X14) = host(X7)
& index(status,host(X6)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X6,X7),queue(host(X6))) )
& ! [X6,X7] :
( ( ~ leq(host(X6),host(X7))
& setIn(X6,alive)
& setIn(X7,alive)
& index(status,host(X6)) = elec_2
& index(status,host(X7)) = elec_2 )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X7))) )
& ! [X6,X7,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X6))
& setIn(X14,alive)
& elem(m_Halt(X14),queue(host(X7)))
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X6,alive)
& index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm ) )
& ! [X6,X7,X15,X14] :
( ( ! [X16] :
( ( ~ leq(host(X14),X16)
& leq(s(zero),X16) )
=> ( setIn(X16,index(down,host(X14)))
| X16 = host(X15) ) )
& elem(m_Down(X15),queue(host(X14)))
& host(X14) = host(X7)
& host(X14) = nbr_proc
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X6,alive)
& elem(m_Down(X7),queue(host(X6))) ) )
& ! [X6,X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X7),queue(host(X14)))
& elem(m_Down(X15),queue(host(X14)))
& leq(nbr_proc,s(index(pendack,host(X14))))
& index(status,host(X14)) = elec_2
& host(X7) = index(pendack,host(X14))
& host(X15) = s(index(pendack,host(X14))) )
=> ~ ( setIn(X6,alive)
& index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm ) )
& queue(host(X5)) = cons(m_NormQ(X13),X12) )
=> ( setIn(X5,alive)
=> ( index(status,host(X5)) != norm
=> ! [X6,X7,X17,X18] :
( host(X13) = host(X18)
=> ( host(X5) = host(X18)
=> ( ( setIn(X18,alive)
& elem(m_Down(X17),snoc(X12,m_NotNorm(X13)))
& elem(m_Ack(X18,X7),snoc(X12,m_NotNorm(X13)))
& leq(nbr_proc,s(index(pendack,host(X18))))
& index(status,host(X18)) = elec_2
& host(X7) = index(pendack,host(X18))
& host(X17) = s(index(pendack,host(X18))) )
=> ~ ( setIn(X6,alive)
& index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(axiom_47,axiom,
! [X5,X6,X4] :
( elem(X5,snoc(X4,X6))
<=> ( X5 = X6
| elem(X5,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
fof(axiom_19,axiom,
! [X5,X6] : m_Down(X5) != m_NotNorm(X6),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_19) ).
fof(axiom_61,axiom,
! [X5,X6] :
( ( leq(X5,X6)
& leq(X6,X5) )
<=> 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_46,axiom,
! [X5,X6,X4] :
( elem(X5,cons(X6,X4))
<=> ( X5 = X6
| elem(X5,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(axiom_13,axiom,
! [X5,X6,X7] : m_Ack(X5,X6) != m_NotNorm(X7),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_13) ).
fof(axiom_59,axiom,
! [X5] : leq(X5,X5),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_59) ).
fof(c_0_8,plain,
! [X13,X5,X12] :
( epred1_3(X12,X5,X13)
<=> ( ! [X6,X7] :
( elem(m_Ldr(X7),queue(host(X6)))
=> ~ leq(host(X6),host(X7)) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X7) != host(X6) )
& ! [X6,X7] :
( elem(m_Halt(X7),queue(host(X6)))
=> ~ leq(host(X6),host(X7)) )
& ! [X6,X7,X14] :
( elem(m_Ack(X14,X6),queue(host(X7)))
=> ~ leq(host(X6),host(X14)) )
& ! [X6,X7] :
( ( X7 != X6
& host(X7) = host(X6) )
=> ( ~ setIn(X6,alive)
| ~ setIn(X7,alive) ) )
& ! [X6,X7] :
( ( setIn(X7,alive)
& elem(m_Ack(X7,X6),queue(host(X7))) )
=> leq(host(X6),index(pendack,host(X7))) )
& ! [X6,X7] :
( ( setIn(X7,alive)
& index(status,host(X7)) = elec_1 )
=> ~ elem(m_Ack(X7,X6),queue(host(X7))) )
& ! [X6] :
( ( ( index(status,host(X6)) = elec_1
| index(status,host(X6)) = elec_2 )
& setIn(X6,alive) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X7] :
( ( ~ leq(host(X6),host(X7))
& setIn(X6,alive)
& setIn(X7,alive)
& index(status,host(X6)) = elec_2
& index(status,host(X7)) = elec_2 )
=> leq(index(pendack,host(X7)),host(X6)) )
& ! [X6,X7,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X7),queue(host(X14)))
& host(X7) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm ) )
& ! [X6,X7,X14] :
( ( setIn(X6,alive)
& setIn(X14,alive)
& host(X14) = host(X7)
& index(status,host(X6)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X6,X7),queue(host(X6))) )
& ! [X6,X7] :
( ( ~ leq(host(X6),host(X7))
& setIn(X6,alive)
& setIn(X7,alive)
& index(status,host(X6)) = elec_2
& index(status,host(X7)) = elec_2 )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X7))) )
& ! [X6,X7,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X6))
& setIn(X14,alive)
& elem(m_Halt(X14),queue(host(X7)))
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X6,alive)
& index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm ) )
& ! [X6,X7,X15,X14] :
( ( ! [X16] :
( ( ~ leq(host(X14),X16)
& leq(s(zero),X16) )
=> ( setIn(X16,index(down,host(X14)))
| X16 = host(X15) ) )
& elem(m_Down(X15),queue(host(X14)))
& host(X14) = host(X7)
& host(X14) = nbr_proc
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X6,alive)
& elem(m_Down(X7),queue(host(X6))) ) )
& ! [X6,X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X7),queue(host(X14)))
& elem(m_Down(X15),queue(host(X14)))
& leq(nbr_proc,s(index(pendack,host(X14))))
& index(status,host(X14)) = elec_2
& host(X7) = index(pendack,host(X14))
& host(X15) = s(index(pendack,host(X14))) )
=> ~ ( setIn(X6,alive)
& index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm ) )
& queue(host(X5)) = cons(m_NormQ(X13),X12) ) ),
introduced(definition) ).
fof(c_0_9,negated_conjecture,
~ ! [X12,X13,X5] :
( epred1_3(X12,X5,X13)
=> ( setIn(X5,alive)
=> ( index(status,host(X5)) != norm
=> ! [X6,X7,X17,X18] :
( host(X13) = host(X18)
=> ( host(X5) = host(X18)
=> ( ( setIn(X18,alive)
& elem(m_Down(X17),snoc(X12,m_NotNorm(X13)))
& elem(m_Ack(X18,X7),snoc(X12,m_NotNorm(X13)))
& leq(nbr_proc,s(index(pendack,host(X18))))
& index(status,host(X18)) = elec_2
& host(X7) = index(pendack,host(X18))
& host(X17) = s(index(pendack,host(X18))) )
=> ~ ( setIn(X6,alive)
& index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_8]) ).
fof(c_0_10,plain,
! [X13,X5,X12] :
( epred1_3(X12,X5,X13)
=> ( ! [X6,X7] :
( elem(m_Ldr(X7),queue(host(X6)))
=> ~ leq(host(X6),host(X7)) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X7) != host(X6) )
& ! [X6,X7] :
( elem(m_Halt(X7),queue(host(X6)))
=> ~ leq(host(X6),host(X7)) )
& ! [X6,X7,X14] :
( elem(m_Ack(X14,X6),queue(host(X7)))
=> ~ leq(host(X6),host(X14)) )
& ! [X6,X7] :
( ( X7 != X6
& host(X7) = host(X6) )
=> ( ~ setIn(X6,alive)
| ~ setIn(X7,alive) ) )
& ! [X6,X7] :
( ( setIn(X7,alive)
& elem(m_Ack(X7,X6),queue(host(X7))) )
=> leq(host(X6),index(pendack,host(X7))) )
& ! [X6,X7] :
( ( setIn(X7,alive)
& index(status,host(X7)) = elec_1 )
=> ~ elem(m_Ack(X7,X6),queue(host(X7))) )
& ! [X6] :
( ( ( index(status,host(X6)) = elec_1
| index(status,host(X6)) = elec_2 )
& setIn(X6,alive) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X7] :
( ( ~ leq(host(X6),host(X7))
& setIn(X6,alive)
& setIn(X7,alive)
& index(status,host(X6)) = elec_2
& index(status,host(X7)) = elec_2 )
=> leq(index(pendack,host(X7)),host(X6)) )
& ! [X6,X7,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X7),queue(host(X14)))
& host(X7) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm ) )
& ! [X6,X7,X14] :
( ( setIn(X6,alive)
& setIn(X14,alive)
& host(X14) = host(X7)
& index(status,host(X6)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X6,X7),queue(host(X6))) )
& ! [X6,X7] :
( ( ~ leq(host(X6),host(X7))
& setIn(X6,alive)
& setIn(X7,alive)
& index(status,host(X6)) = elec_2
& index(status,host(X7)) = elec_2 )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X7))) )
& ! [X6,X7,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X6))
& setIn(X14,alive)
& elem(m_Halt(X14),queue(host(X7)))
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X6,alive)
& index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm ) )
& ! [X6,X7,X15,X14] :
( ( ! [X16] :
( ( ~ leq(host(X14),X16)
& leq(s(zero),X16) )
=> ( setIn(X16,index(down,host(X14)))
| X16 = host(X15) ) )
& elem(m_Down(X15),queue(host(X14)))
& host(X14) = host(X7)
& host(X14) = nbr_proc
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X6,alive)
& elem(m_Down(X7),queue(host(X6))) ) )
& ! [X6,X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X7),queue(host(X14)))
& elem(m_Down(X15),queue(host(X14)))
& leq(nbr_proc,s(index(pendack,host(X14))))
& index(status,host(X14)) = elec_2
& host(X7) = index(pendack,host(X14))
& host(X15) = s(index(pendack,host(X14))) )
=> ~ ( setIn(X6,alive)
& index(ldr,host(X6)) = host(X6)
& index(status,host(X6)) = norm ) )
& queue(host(X5)) = cons(m_NormQ(X13),X12) ) ),
inference(split_equiv,[status(thm)],[c_0_8]) ).
fof(c_0_11,negated_conjecture,
( epred1_3(esk5_0,esk7_0,esk6_0)
& setIn(esk7_0,alive)
& index(status,host(esk7_0)) != norm
& host(esk6_0) = host(esk11_0)
& host(esk7_0) = host(esk11_0)
& setIn(esk11_0,alive)
& elem(m_Down(esk10_0),snoc(esk5_0,m_NotNorm(esk6_0)))
& elem(m_Ack(esk11_0,esk9_0),snoc(esk5_0,m_NotNorm(esk6_0)))
& leq(nbr_proc,s(index(pendack,host(esk11_0))))
& index(status,host(esk11_0)) = elec_2
& host(esk9_0) = index(pendack,host(esk11_0))
& host(esk10_0) = s(index(pendack,host(esk11_0)))
& setIn(esk8_0,alive)
& index(ldr,host(esk8_0)) = host(esk8_0)
& index(status,host(esk8_0)) = norm ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_12,plain,
! [X155,X156,X157,X158,X159,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,X192,X193,X194,X195] :
( ( ~ elem(m_Ldr(X159),queue(host(X158)))
| ~ leq(host(X158),host(X159))
| ~ epred1_3(X157,X156,X155) )
& ( ~ elem(m_Down(X161),queue(host(X160)))
| host(X161) != host(X160)
| ~ epred1_3(X157,X156,X155) )
& ( ~ elem(m_Halt(X163),queue(host(X162)))
| ~ leq(host(X162),host(X163))
| ~ epred1_3(X157,X156,X155) )
& ( ~ elem(m_Ack(X166,X164),queue(host(X165)))
| ~ leq(host(X164),host(X166))
| ~ epred1_3(X157,X156,X155) )
& ( X168 = X167
| host(X168) != host(X167)
| ~ setIn(X167,alive)
| ~ setIn(X168,alive)
| ~ epred1_3(X157,X156,X155) )
& ( ~ setIn(X170,alive)
| ~ elem(m_Ack(X170,X169),queue(host(X170)))
| leq(host(X169),index(pendack,host(X170)))
| ~ epred1_3(X157,X156,X155) )
& ( ~ setIn(X172,alive)
| index(status,host(X172)) != elec_1
| ~ elem(m_Ack(X172,X171),queue(host(X172)))
| ~ epred1_3(X157,X156,X155) )
& ( index(status,host(X173)) != elec_1
| ~ setIn(X173,alive)
| index(elid,host(X173)) = X173
| ~ epred1_3(X157,X156,X155) )
& ( index(status,host(X173)) != elec_2
| ~ setIn(X173,alive)
| index(elid,host(X173)) = X173
| ~ epred1_3(X157,X156,X155) )
& ( leq(host(X174),host(X175))
| ~ setIn(X174,alive)
| ~ setIn(X175,alive)
| index(status,host(X174)) != elec_2
| index(status,host(X175)) != elec_2
| leq(index(pendack,host(X175)),host(X174))
| ~ epred1_3(X157,X156,X155) )
& ( ~ setIn(X178,alive)
| ~ elem(m_Down(X177),queue(host(X178)))
| host(X177) != host(X176)
| ~ setIn(X176,alive)
| index(ldr,host(X176)) != host(X176)
| index(status,host(X176)) != norm
| ~ epred1_3(X157,X156,X155) )
& ( ~ setIn(X179,alive)
| ~ setIn(X181,alive)
| host(X181) != host(X180)
| index(status,host(X179)) != elec_2
| index(status,host(X181)) != elec_2
| ~ elem(m_Ack(X179,X180),queue(host(X179)))
| ~ epred1_3(X157,X156,X155) )
& ( leq(host(X182),host(X183))
| ~ setIn(X182,alive)
| ~ setIn(X183,alive)
| index(status,host(X182)) != elec_2
| index(status,host(X183)) != elec_2
| ~ leq(index(pendack,host(X182)),index(pendack,host(X183)))
| ~ epred1_3(X157,X156,X155) )
& ( leq(index(pendack,host(X186)),host(X184))
| ~ setIn(X186,alive)
| ~ elem(m_Halt(X186),queue(host(X185)))
| index(status,host(X186)) != elec_2
| ~ setIn(X184,alive)
| index(ldr,host(X184)) != host(X184)
| index(status,host(X184)) != norm
| ~ epred1_3(X157,X156,X155) )
& ( ~ leq(host(X190),esk12_7(X155,X156,X157,X187,X188,X189,X190))
| ~ elem(m_Down(X189),queue(host(X190)))
| host(X190) != host(X188)
| host(X190) != nbr_proc
| index(status,host(X190)) != elec_1
| ~ setIn(X187,alive)
| ~ elem(m_Down(X188),queue(host(X187)))
| ~ epred1_3(X157,X156,X155) )
& ( leq(s(zero),esk12_7(X155,X156,X157,X187,X188,X189,X190))
| ~ elem(m_Down(X189),queue(host(X190)))
| host(X190) != host(X188)
| host(X190) != nbr_proc
| index(status,host(X190)) != elec_1
| ~ setIn(X187,alive)
| ~ elem(m_Down(X188),queue(host(X187)))
| ~ epred1_3(X157,X156,X155) )
& ( ~ setIn(esk12_7(X155,X156,X157,X187,X188,X189,X190),index(down,host(X190)))
| ~ elem(m_Down(X189),queue(host(X190)))
| host(X190) != host(X188)
| host(X190) != nbr_proc
| index(status,host(X190)) != elec_1
| ~ setIn(X187,alive)
| ~ elem(m_Down(X188),queue(host(X187)))
| ~ epred1_3(X157,X156,X155) )
& ( esk12_7(X155,X156,X157,X187,X188,X189,X190) != host(X189)
| ~ elem(m_Down(X189),queue(host(X190)))
| host(X190) != host(X188)
| host(X190) != nbr_proc
| index(status,host(X190)) != elec_1
| ~ setIn(X187,alive)
| ~ elem(m_Down(X188),queue(host(X187)))
| ~ epred1_3(X157,X156,X155) )
& ( ~ setIn(X194,alive)
| ~ elem(m_Ack(X194,X192),queue(host(X194)))
| ~ elem(m_Down(X193),queue(host(X194)))
| ~ leq(nbr_proc,s(index(pendack,host(X194))))
| index(status,host(X194)) != elec_2
| host(X192) != index(pendack,host(X194))
| host(X193) != s(index(pendack,host(X194)))
| ~ setIn(X195,alive)
| index(ldr,host(X195)) != host(X195)
| index(status,host(X195)) != norm
| ~ epred1_3(X157,X156,X155) )
& ( queue(host(X156)) = cons(m_NormQ(X155),X157)
| ~ epred1_3(X157,X156,X155) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])]) ).
cnf(c_0_13,negated_conjecture,
leq(nbr_proc,s(index(pendack,host(esk11_0)))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
host(esk9_0) = index(pendack,host(esk11_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
host(esk10_0) = s(index(pendack,host(esk11_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X102,X103,X104] :
( ( ~ elem(X102,snoc(X104,X103))
| X102 = X103
| elem(X102,X104) )
& ( X102 != X103
| elem(X102,snoc(X104,X103)) )
& ( ~ elem(X102,X104)
| elem(X102,snoc(X104,X103)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_47])])]) ).
fof(c_0_17,plain,
! [X46,X47] : m_Down(X46) != m_NotNorm(X47),
inference(variable_rename,[status(thm)],[axiom_19]) ).
cnf(c_0_18,plain,
( index(elid,host(X1)) = X1
| index(status,host(X1)) != elec_2
| ~ setIn(X1,alive)
| ~ epred1_3(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
setIn(esk11_0,alive),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
index(status,host(esk11_0)) = elec_2,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_21,plain,
! [X138,X139] :
( ( ~ leq(X138,X139)
| ~ leq(X139,X138)
| X138 = X139 )
& ( leq(X138,X139)
| X138 != X139 )
& ( leq(X139,X138)
| X138 != X139 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])]) ).
cnf(c_0_22,negated_conjecture,
leq(nbr_proc,s(host(esk9_0))),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_23,negated_conjecture,
s(host(esk9_0)) = host(esk10_0),
inference(rw,[status(thm)],[c_0_15,c_0_14]) ).
fof(c_0_24,plain,
! [X24] : leq(host(X24),nbr_proc),
inference(variable_rename,[status(thm)],[axiom_04]) ).
fof(c_0_25,plain,
! [X99,X100,X101] :
( ( ~ elem(X99,cons(X100,X101))
| X99 = X100
| elem(X99,X101) )
& ( X99 != X100
| elem(X99,cons(X100,X101)) )
& ( ~ elem(X99,X101)
| elem(X99,cons(X100,X101)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])]) ).
cnf(c_0_26,plain,
( X1 = X3
| elem(X1,X2)
| ~ elem(X1,snoc(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,negated_conjecture,
elem(m_Down(esk10_0),snoc(esk5_0,m_NotNorm(esk6_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_28,plain,
m_Down(X1) != m_NotNorm(X2),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_29,plain,
! [X31,X32,X33] : m_Ack(X31,X32) != m_NotNorm(X33),
inference(variable_rename,[status(thm)],[axiom_13]) ).
cnf(c_0_30,negated_conjecture,
( index(elid,host(esk11_0)) = esk11_0
| ~ epred1_3(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_31,negated_conjecture,
epred1_3(esk5_0,esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_32,plain,
( ~ setIn(X1,alive)
| ~ elem(m_Ack(X1,X2),queue(host(X1)))
| ~ elem(m_Down(X3),queue(host(X1)))
| ~ leq(nbr_proc,s(index(pendack,host(X1))))
| index(status,host(X1)) != elec_2
| host(X2) != index(pendack,host(X1))
| host(X3) != s(index(pendack,host(X1)))
| ~ setIn(X4,alive)
| index(ldr,host(X4)) != host(X4)
| index(status,host(X4)) != norm
| ~ epred1_3(X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,negated_conjecture,
setIn(esk8_0,alive),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_34,negated_conjecture,
index(ldr,host(esk8_0)) = host(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_35,negated_conjecture,
index(status,host(esk8_0)) = norm,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_36,plain,
( X1 = X2
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_37,negated_conjecture,
leq(nbr_proc,host(esk10_0)),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_38,plain,
leq(host(X1),nbr_proc),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_39,plain,
! [X135] : leq(X135,X135),
inference(variable_rename,[status(thm)],[axiom_59]) ).
cnf(c_0_40,plain,
( elem(X1,cons(X3,X2))
| ~ elem(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_41,negated_conjecture,
elem(m_Down(esk10_0),esk5_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_42,plain,
( queue(host(X1)) = cons(m_NormQ(X2),X3)
| ~ epred1_3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_43,negated_conjecture,
host(esk7_0) = host(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_44,negated_conjecture,
elem(m_Ack(esk11_0,esk9_0),snoc(esk5_0,m_NotNorm(esk6_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_45,plain,
m_Ack(X1,X2) != m_NotNorm(X3),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_46,negated_conjecture,
setIn(esk7_0,alive),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_47,negated_conjecture,
index(elid,host(esk11_0)) = esk11_0,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_48,negated_conjecture,
( host(X1) != s(index(pendack,host(X2)))
| host(X3) != index(pendack,host(X2))
| index(status,host(X2)) != elec_2
| ~ epred1_3(X4,X5,X6)
| ~ leq(nbr_proc,s(index(pendack,host(X2))))
| ~ setIn(X2,alive)
| ~ elem(m_Ack(X2,X3),queue(host(X2)))
| ~ elem(m_Down(X1),queue(host(X2))) ),
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])]) ).
cnf(c_0_49,negated_conjecture,
host(esk10_0) = nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_50,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_51,negated_conjecture,
elem(m_Down(esk10_0),cons(X1,esk5_0)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_52,negated_conjecture,
cons(m_NormQ(esk6_0),esk5_0) = queue(host(esk11_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_31]),c_0_43]) ).
cnf(c_0_53,negated_conjecture,
elem(m_Ack(esk11_0,esk9_0),esk5_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_44]),c_0_45]) ).
cnf(c_0_54,negated_conjecture,
( esk7_0 = esk11_0
| ~ epred1_3(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_46]),c_0_43]),c_0_43]),c_0_20])]),c_0_47]) ).
cnf(c_0_55,negated_conjecture,
( host(X1) != host(esk9_0)
| host(X2) != nbr_proc
| ~ epred1_3(X3,X4,X5)
| ~ elem(m_Ack(esk11_0,X1),queue(host(esk11_0)))
| ~ elem(m_Down(X2),queue(host(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_19]),c_0_14]),c_0_23]),c_0_49]),c_0_14]),c_0_20]),c_0_14]),c_0_23]),c_0_49]),c_0_50])]) ).
cnf(c_0_56,negated_conjecture,
elem(m_Down(esk10_0),queue(host(esk11_0))),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
elem(m_Ack(esk11_0,esk9_0),cons(X1,esk5_0)),
inference(spm,[status(thm)],[c_0_40,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
esk7_0 = esk11_0,
inference(spm,[status(thm)],[c_0_54,c_0_31]) ).
cnf(c_0_59,negated_conjecture,
( host(X1) != host(esk9_0)
| ~ epred1_3(X2,X3,X4)
| ~ elem(m_Ack(esk11_0,X1),queue(host(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_49]),c_0_56])]) ).
cnf(c_0_60,negated_conjecture,
elem(m_Ack(esk11_0,esk9_0),queue(host(esk11_0))),
inference(spm,[status(thm)],[c_0_57,c_0_52]) ).
cnf(c_0_61,negated_conjecture,
epred1_3(esk5_0,esk11_0,esk6_0),
inference(rw,[status(thm)],[c_0_31,c_0_58]) ).
cnf(c_0_62,negated_conjecture,
~ epred1_3(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_59]),c_0_60])]) ).
cnf(c_0_63,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_61,c_0_62]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV465+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 11:10:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 6.41/6.48 % Version : CSE_E---1.5
% 6.41/6.48 % Problem : theBenchmark.p
% 6.41/6.48 % Proof found
% 6.41/6.48 % SZS status Theorem for theBenchmark.p
% 6.41/6.48 % SZS output start Proof
% See solution above
% 6.41/6.49 % Total time : 5.891000 s
% 6.41/6.49 % SZS output end Proof
% 6.41/6.49 % Total time : 5.896000 s
%------------------------------------------------------------------------------