TSTP Solution File: SWV468+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWV468+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:47:03 EDT 2023
% Result : Theorem 71.89s 9.67s
% Output : CNFRefutation 71.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 50 ( 25 unt; 0 def)
% Number of atoms : 561 ( 220 equ)
% Maximal formula atoms : 130 ( 11 avg)
% Number of connectives : 757 ( 246 ~; 176 |; 258 &)
% ( 3 <=>; 74 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 19 con; 0-6 aty)
% Number of variables : 248 ( 33 sgn; 195 !; 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] :
( ~ setIn(host(X7),setEmpty)
=> ! [X16] :
( host(X5) = host(X16)
=> ! [X17] :
( host(X5) != host(X17)
=> ( ( ~ leq(index(pendack,host(X17)),host(X16))
& setIn(X17,alive)
& index(status,host(X17)) = elec_2 )
=> ~ ( setIn(X16,alive)
& host(X5) = host(X16) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.M9CUEp5g55/E---3.1_4370.p',conj) ).
fof(axiom_61,axiom,
! [X5,X6] :
( ( leq(X5,X6)
& leq(X6,X5) )
<=> X5 = X6 ),
file('/export/starexec/sandbox/tmp/tmp.M9CUEp5g55/E---3.1_4370.p',axiom_61) ).
fof(axiom_04,axiom,
! [X3] : leq(host(X3),nbr_proc),
file('/export/starexec/sandbox/tmp/tmp.M9CUEp5g55/E---3.1_4370.p',axiom_04) ).
fof(axiom_02,axiom,
! [X3] : leq(s(zero),host(X3)),
file('/export/starexec/sandbox/tmp/tmp.M9CUEp5g55/E---3.1_4370.p',axiom_02) ).
fof(axiom_46,axiom,
! [X5,X6,X4] :
( elem(X5,cons(X6,X4))
<=> ( X5 = X6
| elem(X5,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.M9CUEp5g55/E---3.1_4370.p',axiom_46) ).
fof(c_0_5,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_6,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] :
( ~ setIn(host(X7),setEmpty)
=> ! [X16] :
( host(X5) = host(X16)
=> ! [X17] :
( host(X5) != host(X17)
=> ( ( ~ leq(index(pendack,host(X17)),host(X16))
& setIn(X17,alive)
& index(status,host(X17)) = elec_2 )
=> ~ ( setIn(X16,alive)
& host(X5) = host(X16) ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_5]) ).
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) ) ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
fof(c_0_8,negated_conjecture,
! [X21] :
( epred1_3(esk1_0,esk3_0,esk2_0)
& setIn(esk2_0,alive)
& ~ leq(host(esk2_0),host(esk3_0))
& ( index(ldr,host(esk2_0)) != host(esk3_0)
| index(status,host(esk2_0)) != norm )
& ( index(status,host(esk2_0)) != wait
| host(esk3_0) != host(index(elid,host(esk2_0))) )
& ( leq(host(esk2_0),X21)
| ~ leq(s(zero),X21)
| setIn(X21,index(down,host(esk2_0)))
| X21 = host(esk3_0) )
& index(status,host(esk2_0)) = elec_1
& leq(nbr_proc,host(esk2_0))
& ~ setIn(host(esk4_0),setEmpty)
& host(esk2_0) = host(esk5_0)
& host(esk2_0) != host(esk6_0)
& ~ leq(index(pendack,host(esk6_0)),host(esk5_0))
& setIn(esk6_0,alive)
& index(status,host(esk6_0)) = elec_2
& setIn(esk5_0,alive)
& host(esk2_0) = host(esk5_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_6])])])])]) ).
fof(c_0_9,plain,
! [X35,X36] :
( ( ~ leq(X35,X36)
| ~ leq(X36,X35)
| X35 = X36 )
& ( leq(X35,X36)
| X35 != X36 )
& ( leq(X36,X35)
| X35 != X36 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])]) ).
fof(c_0_10,plain,
! [X41] : leq(host(X41),nbr_proc),
inference(variable_rename,[status(thm)],[axiom_04]) ).
fof(c_0_11,plain,
! [X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162] :
( ( ~ elem(m_Ldr(X126),queue(host(X125)))
| ~ leq(host(X125),host(X126))
| ~ epred1_3(X124,X123,X122) )
& ( X128 = X127
| host(X128) != host(X127)
| ~ setIn(X127,alive)
| ~ setIn(X128,alive)
| ~ epred1_3(X124,X123,X122) )
& ( ~ setIn(X130,alive)
| index(status,host(X130)) != elec_2
| ~ elem(m_Ack(X129,X130),queue(host(X129)))
| ~ epred1_3(X124,X123,X122) )
& ( index(status,host(X131)) != elec_1
| ~ setIn(X131,alive)
| index(elid,host(X131)) = X131
| ~ epred1_3(X124,X123,X122) )
& ( index(status,host(X131)) != elec_2
| ~ setIn(X131,alive)
| index(elid,host(X131)) = X131
| ~ epred1_3(X124,X123,X122) )
& ( ~ setIn(X132,alive)
| ~ setIn(X133,alive)
| ~ setIn(host(X133),index(down,host(X132)))
| index(status,host(X133)) != elec_2
| leq(index(pendack,host(X133)),host(X132))
| ~ epred1_3(X124,X123,X122) )
& ( ~ setIn(X135,alive)
| index(status,host(X135)) != norm
| index(ldr,host(X135)) != host(X135)
| ~ setIn(X134,alive)
| ~ setIn(host(X135),index(down,host(X134)))
| ~ epred1_3(X124,X123,X122) )
& ( leq(host(X138),host(X136))
| ~ setIn(X136,alive)
| ~ setIn(X138,alive)
| host(X138) != host(X137)
| index(status,host(X138)) != elec_2
| ~ elem(m_Down(X137),queue(host(X136)))
| ~ epred1_3(X124,X123,X122) )
& ( leq(host(X139),host(X140))
| ~ setIn(X139,alive)
| ~ setIn(X140,alive)
| index(status,host(X139)) != elec_2
| index(status,host(X140)) != elec_2
| leq(index(pendack,host(X140)),host(X139))
| ~ epred1_3(X124,X123,X122) )
& ( ~ setIn(X143,alive)
| ~ elem(m_Ack(X143,X142),queue(host(X143)))
| host(X142) != host(X141)
| ~ setIn(X141,alive)
| index(ldr,host(X141)) != host(X141)
| index(status,host(X141)) != norm
| ~ epred1_3(X124,X123,X122) )
& ( ~ setIn(X144,alive)
| ~ setIn(X146,alive)
| host(X146) != host(X145)
| index(status,host(X144)) != elec_2
| index(status,host(X146)) != elec_2
| ~ elem(m_Ack(X144,X145),queue(host(X144)))
| ~ epred1_3(X124,X123,X122) )
& ( ~ setIn(X147,alive)
| ~ setIn(X149,alive)
| ~ elem(m_Down(X148),queue(host(X147)))
| host(X149) != host(X148)
| index(status,host(X149)) != elec_2
| leq(index(pendack,host(X149)),host(X147))
| ~ epred1_3(X124,X123,X122) )
& ( ~ setIn(X152,alive)
| host(X151) != host(X152)
| index(status,host(X152)) != norm
| index(ldr,host(X152)) != host(X152)
| ~ setIn(X150,alive)
| ~ elem(m_Down(X151),queue(host(X150)))
| ~ epred1_3(X124,X123,X122) )
& ( leq(index(pendack,host(X154)),host(X153))
| ~ setIn(X154,alive)
| index(status,host(X154)) != elec_2
| ~ setIn(X153,alive)
| index(ldr,host(X153)) != host(X153)
| index(status,host(X153)) != norm
| ~ epred1_3(X124,X123,X122) )
& ( leq(host(X155),host(X156))
| ~ setIn(X155,alive)
| ~ setIn(X156,alive)
| index(status,host(X155)) != elec_2
| index(status,host(X156)) != elec_2
| ~ leq(index(pendack,host(X155)),index(pendack,host(X156)))
| ~ epred1_3(X124,X123,X122) )
& ( ~ setIn(X159,alive)
| ~ elem(m_Down(X158),queue(host(X159)))
| host(X158) != host(X157)
| index(status,host(X159)) != elec_2
| ~ setIn(X157,alive)
| index(ldr,host(X157)) != host(X157)
| index(status,host(X157)) != norm
| ~ epred1_3(X124,X123,X122) )
& ( ~ leq(host(X162),esk7_6(X122,X123,X124,X160,X161,X162))
| leq(host(X162),host(X160))
| ~ elem(m_Down(X161),queue(host(X162)))
| index(status,host(X162)) != elec_1
| ~ setIn(X160,alive)
| index(ldr,host(X160)) != host(X160)
| index(status,host(X160)) != norm
| ~ epred1_3(X124,X123,X122) )
& ( leq(s(zero),esk7_6(X122,X123,X124,X160,X161,X162))
| leq(host(X162),host(X160))
| ~ elem(m_Down(X161),queue(host(X162)))
| index(status,host(X162)) != elec_1
| ~ setIn(X160,alive)
| index(ldr,host(X160)) != host(X160)
| index(status,host(X160)) != norm
| ~ epred1_3(X124,X123,X122) )
& ( ~ setIn(esk7_6(X122,X123,X124,X160,X161,X162),index(down,host(X162)))
| leq(host(X162),host(X160))
| ~ elem(m_Down(X161),queue(host(X162)))
| index(status,host(X162)) != elec_1
| ~ setIn(X160,alive)
| index(ldr,host(X160)) != host(X160)
| index(status,host(X160)) != norm
| ~ epred1_3(X124,X123,X122) )
& ( esk7_6(X122,X123,X124,X160,X161,X162) != host(X161)
| leq(host(X162),host(X160))
| ~ elem(m_Down(X161),queue(host(X162)))
| index(status,host(X162)) != elec_1
| ~ setIn(X160,alive)
| index(ldr,host(X160)) != host(X160)
| index(status,host(X160)) != norm
| ~ epred1_3(X124,X123,X122) )
& ( queue(host(X122)) = cons(m_Down(X123),X124)
| ~ epred1_3(X124,X123,X122) ) ),
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_12,negated_conjecture,
~ leq(index(pendack,host(esk6_0)),host(esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
host(esk2_0) = host(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( X1 = X2
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
leq(nbr_proc,host(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
leq(host(X1),nbr_proc),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,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_11]) ).
cnf(c_0_18,negated_conjecture,
setIn(esk6_0,alive),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,negated_conjecture,
index(status,host(esk6_0)) = elec_2,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
~ leq(index(pendack,host(esk6_0)),host(esk2_0)),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_21,negated_conjecture,
host(esk2_0) = nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_22,negated_conjecture,
( leq(host(esk2_0),X1)
| setIn(X1,index(down,host(esk2_0)))
| X1 = host(esk3_0)
| ~ leq(s(zero),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_23,plain,
! [X47] : leq(s(zero),host(X47)),
inference(variable_rename,[status(thm)],[axiom_02]) ).
cnf(c_0_24,negated_conjecture,
( leq(index(pendack,host(esk6_0)),host(X1))
| ~ epred1_3(X2,X3,X4)
| ~ setIn(host(esk6_0),index(down,host(X1)))
| ~ setIn(X1,alive) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_25,negated_conjecture,
setIn(esk2_0,alive),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,negated_conjecture,
~ leq(index(pendack,host(esk6_0)),nbr_proc),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( X1 = host(esk3_0)
| leq(nbr_proc,X1)
| setIn(X1,index(down,nbr_proc))
| ~ leq(s(zero),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_21]),c_0_21]) ).
cnf(c_0_28,plain,
leq(s(zero),host(X1)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( ~ epred1_3(X1,X2,X3)
| ~ setIn(host(esk6_0),index(down,nbr_proc)) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21]),c_0_21]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( host(X1) = host(esk3_0)
| leq(nbr_proc,host(X1))
| setIn(host(X1),index(down,nbr_proc)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( host(esk6_0) = host(esk3_0)
| leq(nbr_proc,host(esk6_0))
| ~ epred1_3(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,negated_conjecture,
epred1_3(esk1_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_33,negated_conjecture,
host(esk2_0) != host(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,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_11]) ).
cnf(c_0_35,negated_conjecture,
( host(esk6_0) = host(esk3_0)
| leq(nbr_proc,host(esk6_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
host(esk6_0) != nbr_proc,
inference(rw,[status(thm)],[c_0_33,c_0_21]) ).
fof(c_0_37,plain,
! [X54,X55,X56] :
( ( ~ elem(X54,cons(X55,X56))
| X54 = X55
| elem(X54,X56) )
& ( X54 != X55
| elem(X54,cons(X55,X56)) )
& ( ~ elem(X54,X56)
| elem(X54,cons(X55,X56)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])]) ).
cnf(c_0_38,negated_conjecture,
( leq(index(pendack,host(esk6_0)),host(X1))
| host(esk6_0) != host(X2)
| ~ epred1_3(X3,X4,X5)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_18]),c_0_19])]) ).
cnf(c_0_39,negated_conjecture,
host(esk6_0) = host(esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_35]),c_0_16])]),c_0_36]) ).
cnf(c_0_40,plain,
( elem(X1,cons(X2,X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,plain,
( queue(host(X1)) = cons(m_Down(X2),X3)
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_42,negated_conjecture,
( leq(index(pendack,host(esk3_0)),host(X1))
| host(esk3_0) != host(X2)
| ~ epred1_3(X3,X4,X5)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(X1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39]),c_0_39]) ).
cnf(c_0_43,negated_conjecture,
~ leq(index(pendack,host(esk3_0)),nbr_proc),
inference(spm,[status(thm)],[c_0_26,c_0_39]) ).
cnf(c_0_44,plain,
elem(X1,cons(X1,X2)),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_45,negated_conjecture,
cons(m_Down(esk3_0),esk1_0) = queue(nbr_proc),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_32]),c_0_21]) ).
cnf(c_0_46,negated_conjecture,
( host(esk3_0) != host(X1)
| ~ epred1_3(X2,X3,X4)
| ~ elem(m_Down(X1),queue(nbr_proc)) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_25]),c_0_21]),c_0_21]),c_0_43]) ).
cnf(c_0_47,negated_conjecture,
elem(m_Down(esk3_0),queue(nbr_proc)),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,negated_conjecture,
~ epred1_3(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_46]),c_0_47])]) ).
cnf(c_0_49,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_32,c_0_48]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SWV468+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n024.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Tue Oct 3 04:05:41 EDT 2023
% 0.16/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.M9CUEp5g55/E---3.1_4370.p
% 71.89/9.67 # Version: 3.1pre001
% 71.89/9.67 # Preprocessing class: FSLSSMSMSSSNFFN.
% 71.89/9.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 71.89/9.67 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 71.89/9.67 # Starting new_bool_3 with 300s (1) cores
% 71.89/9.67 # Starting new_bool_1 with 300s (1) cores
% 71.89/9.67 # Starting sh5l with 300s (1) cores
% 71.89/9.67 # new_bool_3 with pid 4451 completed with status 0
% 71.89/9.67 # Result found by new_bool_3
% 71.89/9.67 # Preprocessing class: FSLSSMSMSSSNFFN.
% 71.89/9.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 71.89/9.67 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 71.89/9.67 # Starting new_bool_3 with 300s (1) cores
% 71.89/9.67 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 71.89/9.67 # Search class: FGHSM-FFMM31-MFFFFFNN
% 71.89/9.67 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 71.89/9.67 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 71.89/9.67 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 4455 completed with status 0
% 71.89/9.67 # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 71.89/9.67 # Preprocessing class: FSLSSMSMSSSNFFN.
% 71.89/9.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 71.89/9.67 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 71.89/9.67 # Starting new_bool_3 with 300s (1) cores
% 71.89/9.67 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 71.89/9.67 # Search class: FGHSM-FFMM31-MFFFFFNN
% 71.89/9.67 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 71.89/9.67 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 71.89/9.67 # Preprocessing time : 0.003 s
% 71.89/9.67 # Presaturation interreduction done
% 71.89/9.67
% 71.89/9.67 # Proof found!
% 71.89/9.67 # SZS status Theorem
% 71.89/9.67 # SZS output start CNFRefutation
% See solution above
% 71.89/9.67 # Parsed axioms : 67
% 71.89/9.67 # Removed by relevancy pruning/SinE : 13
% 71.89/9.67 # Initial clauses : 105
% 71.89/9.67 # Removed in clause preprocessing : 6
% 71.89/9.67 # Initial clauses in saturation : 99
% 71.89/9.67 # Processed clauses : 16534
% 71.89/9.67 # ...of these trivial : 795
% 71.89/9.67 # ...subsumed : 12936
% 71.89/9.67 # ...remaining for further processing : 2803
% 71.89/9.67 # Other redundant clauses eliminated : 6
% 71.89/9.67 # Clauses deleted for lack of memory : 0
% 71.89/9.67 # Backward-subsumed : 183
% 71.89/9.67 # Backward-rewritten : 84
% 71.89/9.67 # Generated clauses : 899073
% 71.89/9.67 # ...of the previous two non-redundant : 408330
% 71.89/9.67 # ...aggressively subsumed : 0
% 71.89/9.67 # Contextual simplify-reflections : 5
% 71.89/9.67 # Paramodulations : 898359
% 71.89/9.67 # Factorizations : 686
% 71.89/9.67 # NegExts : 0
% 71.89/9.67 # Equation resolutions : 27
% 71.89/9.67 # Total rewrite steps : 594904
% 71.89/9.67 # Propositional unsat checks : 0
% 71.89/9.67 # Propositional check models : 0
% 71.89/9.67 # Propositional check unsatisfiable : 0
% 71.89/9.67 # Propositional clauses : 0
% 71.89/9.67 # Propositional clauses after purity: 0
% 71.89/9.67 # Propositional unsat core size : 0
% 71.89/9.67 # Propositional preprocessing time : 0.000
% 71.89/9.67 # Propositional encoding time : 0.000
% 71.89/9.67 # Propositional solver time : 0.000
% 71.89/9.67 # Success case prop preproc time : 0.000
% 71.89/9.67 # Success case prop encoding time : 0.000
% 71.89/9.67 # Success case prop solver time : 0.000
% 71.89/9.67 # Current number of processed clauses : 2440
% 71.89/9.67 # Positive orientable unit clauses : 302
% 71.89/9.67 # Positive unorientable unit clauses: 0
% 71.89/9.67 # Negative unit clauses : 34
% 71.89/9.67 # Non-unit-clauses : 2104
% 71.89/9.67 # Current number of unprocessed clauses: 390869
% 71.89/9.67 # ...number of literals in the above : 1546075
% 71.89/9.67 # Current number of archived formulas : 0
% 71.89/9.67 # Current number of archived clauses : 359
% 71.89/9.67 # Clause-clause subsumption calls (NU) : 1816463
% 71.89/9.67 # Rec. Clause-clause subsumption calls : 1211015
% 71.89/9.67 # Non-unit clause-clause subsumptions : 12914
% 71.89/9.67 # Unit Clause-clause subsumption calls : 8674
% 71.89/9.67 # Rewrite failures with RHS unbound : 0
% 71.89/9.67 # BW rewrite match attempts : 8946
% 71.89/9.67 # BW rewrite match successes : 20
% 71.89/9.67 # Condensation attempts : 0
% 71.89/9.67 # Condensation successes : 0
% 71.89/9.67 # Termbank termtop insertions : 14665403
% 71.89/9.67
% 71.89/9.67 # -------------------------------------------------
% 71.89/9.67 # User time : 8.858 s
% 71.89/9.67 # System time : 0.186 s
% 71.89/9.67 # Total time : 9.044 s
% 71.89/9.67 # Maximum resident set size: 2136 pages
% 71.89/9.67
% 71.89/9.67 # -------------------------------------------------
% 71.89/9.67 # User time : 8.862 s
% 71.89/9.67 # System time : 0.187 s
% 71.89/9.67 # Total time : 9.049 s
% 71.89/9.67 # Maximum resident set size: 1784 pages
% 71.89/9.67 % E---3.1 exiting
% 71.89/9.67 % E---3.1 exiting
%------------------------------------------------------------------------------