TSTP Solution File: SWV452+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV452+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n010.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 23:24:51 EDT 2023
% Result : Theorem 0.23s 0.47s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 21 unt; 0 def)
% Number of atoms : 610 ( 294 equ)
% Maximal formula atoms : 100 ( 11 avg)
% Number of connectives : 860 ( 304 ~; 186 |; 307 &)
% ( 5 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 16 con; 0-2 aty)
% Number of variables : 285 (; 237 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1163,plain,
$false,
inference(avatar_sat_refutation,[],[f325,f385,f1162]) ).
fof(f1162,plain,
~ spl12_1,
inference(avatar_contradiction_clause,[],[f1161]) ).
fof(f1161,plain,
( $false
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f1159,f915]) ).
fof(f915,plain,
( ~ elem(m_Down(sK7),queue(host(sK1)))
| ~ spl12_1 ),
inference(unit_resulting_resolution,[],[f902,f320,f203,f349,f796,f316]) ).
fof(f316,plain,
! [X11,X9,X12] :
( ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11)
| ~ sP11(X11,X9) ),
inference(general_splitting,[],[f183,f315_D]) ).
fof(f315,plain,
! [X10,X11,X9] :
( ~ elem(m_Down(X10),queue(host(X11)))
| host(X9) != host(X10)
| sP11(X11,X9) ),
inference(cnf_transformation,[],[f315_D]) ).
fof(f315_D,plain,
! [X9,X11] :
( ! [X10] :
( ~ elem(m_Down(X10),queue(host(X11)))
| host(X9) != host(X10) )
<=> ~ sP11(X11,X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).
fof(f183,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( elem(m_Down(sK5),queue(host(sK6)))
& elem(m_Down(sK7),sK0)
& host(sK6) = host(sK7)
& host(sK4) = host(sK5)
& host(sK4) != host(sK6)
& ( sK1 = sK6
| ( setIn(sK6,alive)
& sK2 != sK6 ) )
& ( sK1 = sK4
| ( setIn(sK4,alive)
& sK2 != sK4 ) )
& host(sK2) != host(sK6)
& host(sK2) = host(sK4)
& s(zero) != host(sK1)
& host(sK2) = host(sK1)
& ~ setIn(sK1,pids)
& ! [X8] :
( leq(X8,sK1)
| host(X8) != host(sK2) )
& ( ( host(sK3) = host(index(elid,host(sK2)))
& wait = index(status,host(sK2)) )
| ( norm = index(status,host(sK2))
& host(sK3) = index(ldr,host(sK2)) ) )
& ~ leq(host(sK2),host(sK3))
& setIn(sK2,alive)
& queue(host(sK2)) = cons(m_Down(sK3),sK0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f142,f146,f145,f144,f143]) ).
fof(f143,plain,
( ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5,X6] :
( ? [X7] :
( elem(m_Down(X5),queue(host(X6)))
& elem(m_Down(X7),X0)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( X1 = X6
| ( setIn(X6,alive)
& X2 != X6 ) )
& ( X1 = X4
| ( setIn(X4,alive)
& X2 != X4 ) ) )
& host(X2) != host(X6) )
& host(X2) = host(X4) )
& s(zero) != host(X1)
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X8] :
( leq(X8,X1)
| host(X2) != host(X8) )
& ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) )
=> ( ? [X4] :
( ? [X6,X5] :
( ? [X7] :
( elem(m_Down(X5),queue(host(X6)))
& elem(m_Down(X7),sK0)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( sK1 = X6
| ( setIn(X6,alive)
& sK2 != X6 ) )
& ( sK1 = X4
| ( setIn(X4,alive)
& sK2 != X4 ) ) )
& host(X6) != host(sK2) )
& host(X4) = host(sK2) )
& s(zero) != host(sK1)
& host(sK2) = host(sK1)
& ~ setIn(sK1,pids)
& ! [X8] :
( leq(X8,sK1)
| host(X8) != host(sK2) )
& ( ( host(sK3) = host(index(elid,host(sK2)))
& wait = index(status,host(sK2)) )
| ( norm = index(status,host(sK2))
& host(sK3) = index(ldr,host(sK2)) ) )
& ~ leq(host(sK2),host(sK3))
& setIn(sK2,alive)
& queue(host(sK2)) = cons(m_Down(sK3),sK0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ? [X4] :
( ? [X6,X5] :
( ? [X7] :
( elem(m_Down(X5),queue(host(X6)))
& elem(m_Down(X7),sK0)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( sK1 = X6
| ( setIn(X6,alive)
& sK2 != X6 ) )
& ( sK1 = X4
| ( setIn(X4,alive)
& sK2 != X4 ) ) )
& host(X6) != host(sK2) )
& host(X4) = host(sK2) )
=> ( ? [X6,X5] :
( ? [X7] :
( elem(m_Down(X5),queue(host(X6)))
& elem(m_Down(X7),sK0)
& host(X6) = host(X7)
& host(X5) = host(sK4)
& host(X6) != host(sK4)
& ( sK1 = X6
| ( setIn(X6,alive)
& sK2 != X6 ) )
& ( sK1 = sK4
| ( setIn(sK4,alive)
& sK2 != sK4 ) ) )
& host(X6) != host(sK2) )
& host(sK2) = host(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X6,X5] :
( ? [X7] :
( elem(m_Down(X5),queue(host(X6)))
& elem(m_Down(X7),sK0)
& host(X6) = host(X7)
& host(X5) = host(sK4)
& host(X6) != host(sK4)
& ( sK1 = X6
| ( setIn(X6,alive)
& sK2 != X6 ) )
& ( sK1 = sK4
| ( setIn(sK4,alive)
& sK2 != sK4 ) ) )
& host(X6) != host(sK2) )
=> ( ? [X7] :
( elem(m_Down(sK5),queue(host(sK6)))
& elem(m_Down(X7),sK0)
& host(X7) = host(sK6)
& host(sK4) = host(sK5)
& host(sK4) != host(sK6)
& ( sK1 = sK6
| ( setIn(sK6,alive)
& sK2 != sK6 ) )
& ( sK1 = sK4
| ( setIn(sK4,alive)
& sK2 != sK4 ) ) )
& host(sK2) != host(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
( ? [X7] :
( elem(m_Down(sK5),queue(host(sK6)))
& elem(m_Down(X7),sK0)
& host(X7) = host(sK6)
& host(sK4) = host(sK5)
& host(sK4) != host(sK6)
& ( sK1 = sK6
| ( setIn(sK6,alive)
& sK2 != sK6 ) )
& ( sK1 = sK4
| ( setIn(sK4,alive)
& sK2 != sK4 ) ) )
=> ( elem(m_Down(sK5),queue(host(sK6)))
& elem(m_Down(sK7),sK0)
& host(sK6) = host(sK7)
& host(sK4) = host(sK5)
& host(sK4) != host(sK6)
& ( sK1 = sK6
| ( setIn(sK6,alive)
& sK2 != sK6 ) )
& ( sK1 = sK4
| ( setIn(sK4,alive)
& sK2 != sK4 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5,X6] :
( ? [X7] :
( elem(m_Down(X5),queue(host(X6)))
& elem(m_Down(X7),X0)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( X1 = X6
| ( setIn(X6,alive)
& X2 != X6 ) )
& ( X1 = X4
| ( setIn(X4,alive)
& X2 != X4 ) ) )
& host(X2) != host(X6) )
& host(X2) = host(X4) )
& s(zero) != host(X1)
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X8] :
( leq(X8,X1)
| host(X2) != host(X8) )
& ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X1,X2,X3] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),X0)
& host(X26) = host(X27)
& host(X24) = host(X25)
& host(X24) != host(X26)
& ( X1 = X26
| ( setIn(X26,alive)
& X2 != X26 ) )
& ( X1 = X24
| ( setIn(X24,alive)
& X2 != X24 ) ) )
& host(X2) != host(X26) )
& host(X2) = host(X24) )
& s(zero) != host(X1)
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X23] :
( leq(X23,X1)
| host(X2) != host(X23) )
& ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X6)))
| ~ elem(m_Down(X7),queue(host(X4)))
| host(X6) != host(X7)
| host(X4) != host(X5)
| ~ setIn(X6,alive)
| ~ setIn(X4,alive)
| host(X4) = host(X6) )
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) != host(X9)
| X8 = X9 )
& ! [X10,X11] :
( ~ setIn(X11,alive)
| host(X10) != host(X11)
| ~ leq(X11,X10)
| setIn(X10,alive) )
& ! [X12,X13,X14] :
( ~ leq(host(X12),host(X14))
| ~ elem(m_Ack(X14,X12),queue(host(X13))) )
& ! [X15,X16] :
( ~ leq(host(X15),host(X16))
| ~ elem(m_Halt(X16),queue(host(X15))) )
& ! [X17,X18] :
( host(X17) != host(X18)
| ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X19,X20] :
( ~ setIn(X20,alive)
| ~ elem(m_Down(X20),queue(host(X19))) )
& ! [X21,X22] :
( ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X22,alive) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X1,X2,X3] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),X0)
& host(X26) = host(X27)
& host(X24) = host(X25)
& host(X24) != host(X26)
& ( X1 = X26
| ( setIn(X26,alive)
& X2 != X26 ) )
& ( X1 = X24
| ( setIn(X24,alive)
& X2 != X24 ) ) )
& host(X2) != host(X26) )
& host(X2) = host(X24) )
& s(zero) != host(X1)
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X23] :
( leq(X23,X1)
| host(X2) != host(X23) )
& ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X6)))
| ~ elem(m_Down(X7),queue(host(X4)))
| host(X6) != host(X7)
| host(X4) != host(X5)
| ~ setIn(X6,alive)
| ~ setIn(X4,alive)
| host(X4) = host(X6) )
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) != host(X9)
| X8 = X9 )
& ! [X10,X11] :
( ~ setIn(X11,alive)
| host(X10) != host(X11)
| ~ leq(X11,X10)
| setIn(X10,alive) )
& ! [X12,X13,X14] :
( ~ leq(host(X12),host(X14))
| ~ elem(m_Ack(X14,X12),queue(host(X13))) )
& ! [X15,X16] :
( ~ leq(host(X15),host(X16))
| ~ elem(m_Halt(X16),queue(host(X15))) )
& ! [X17,X18] :
( host(X17) != host(X18)
| ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X19,X20] :
( ~ setIn(X20,alive)
| ~ elem(m_Down(X20),queue(host(X19))) )
& ! [X21,X22] :
( ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X22,alive) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ( host(X6) = host(X7)
& host(X4) = host(X5)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X4) != host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X6)))
& elem(m_Down(X7),queue(host(X4))) ) )
& ! [X8,X9] :
( ( host(X8) = host(X9)
& X8 != X9 )
=> ( ~ setIn(X9,alive)
| ~ setIn(X8,alive) ) )
& ! [X10,X11] :
( ( host(X10) = host(X11)
& leq(X11,X10)
& ~ setIn(X10,alive) )
=> ~ setIn(X11,alive) )
& ! [X12,X13,X14] :
( elem(m_Ack(X14,X12),queue(host(X13)))
=> ~ leq(host(X12),host(X14)) )
& ! [X15,X16] :
( elem(m_Halt(X16),queue(host(X15)))
=> ~ leq(host(X15),host(X16)) )
& ! [X17,X18] :
( elem(m_Down(X18),queue(host(X17)))
=> host(X17) != host(X18) )
& ! [X19,X20] :
( elem(m_Down(X20),queue(host(X19)))
=> ~ setIn(X20,alive) )
& ! [X21,X22] :
( setIn(X22,alive)
=> ~ elem(m_Down(X22),queue(host(X21))) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
=> ( ( host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X23] :
( host(X2) = host(X23)
=> leq(X23,X1) ) )
=> ( s(zero) != host(X1)
=> ! [X24] :
( host(X2) = host(X24)
=> ! [X25,X26] :
( host(X2) != host(X26)
=> ! [X27] :
( ( host(X26) = host(X27)
& host(X24) = host(X25)
& host(X24) != host(X26)
& ( X1 = X26
| ( setIn(X26,alive)
& X2 != X26 ) )
& ( X1 = X24
| ( setIn(X24,alive)
& X2 != X24 ) ) )
=> ~ ( elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),X0) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& leq(X13,X6)
& ~ setIn(X6,alive) )
=> ~ setIn(X13,alive) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( host(X4) = host(X12)
& ~ setIn(X12,pids)
& ! [X6] :
( host(X4) = host(X6)
=> leq(X6,X12) ) )
=> ( s(zero) != host(X12)
=> ! [X6] :
( host(X4) = host(X6)
=> ! [X16,X17] :
( host(X4) != host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& host(X6) = host(X16)
& host(X6) != host(X17)
& ( X12 = X17
| ( setIn(X17,alive)
& X4 != X17 ) )
& ( X6 = X12
| ( setIn(X6,alive)
& X4 != X6 ) ) )
=> ~ ( elem(m_Down(X16),queue(host(X17)))
& elem(m_Down(X18),X11) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& leq(X13,X6)
& ~ setIn(X6,alive) )
=> ~ setIn(X13,alive) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( host(X4) = host(X12)
& ~ setIn(X12,pids)
& ! [X6] :
( host(X4) = host(X6)
=> leq(X6,X12) ) )
=> ( s(zero) != host(X12)
=> ! [X6] :
( host(X4) = host(X6)
=> ! [X16,X17] :
( host(X4) != host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& host(X6) = host(X16)
& host(X6) != host(X17)
& ( X12 = X17
| ( setIn(X17,alive)
& X4 != X17 ) )
& ( X6 = X12
| ( setIn(X6,alive)
& X4 != X6 ) ) )
=> ~ ( elem(m_Down(X16),queue(host(X17)))
& elem(m_Down(X18),X11) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.AICcuOdkid/Vampire---4.8_16415',conj) ).
fof(f796,plain,
setIn(sK1,alive),
inference(unit_resulting_resolution,[],[f643,f185,f193,f181]) ).
fof(f181,plain,
! [X16,X15] :
( host(X15) != host(X16)
| ~ setIn(X16,alive)
| ~ leq(X16,X15)
| setIn(X15,alive) ),
inference(cnf_transformation,[],[f147]) ).
fof(f193,plain,
host(sK2) = host(sK1),
inference(cnf_transformation,[],[f147]) ).
fof(f185,plain,
setIn(sK2,alive),
inference(cnf_transformation,[],[f147]) ).
fof(f643,plain,
leq(sK2,sK1),
inference(unit_resulting_resolution,[],[f193,f350]) ).
fof(f350,plain,
! [X8] :
( host(X8) != host(sK1)
| leq(X8,sK1) ),
inference(forward_demodulation,[],[f191,f193]) ).
fof(f191,plain,
! [X8] :
( leq(X8,sK1)
| host(X8) != host(sK2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f349,plain,
host(sK1) != host(sK6),
inference(backward_demodulation,[],[f196,f193]) ).
fof(f196,plain,
host(sK2) != host(sK6),
inference(cnf_transformation,[],[f147]) ).
fof(f203,plain,
host(sK6) = host(sK7),
inference(cnf_transformation,[],[f147]) ).
fof(f320,plain,
( setIn(sK6,alive)
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f318,plain,
( spl12_1
<=> setIn(sK6,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f902,plain,
sP11(sK6,sK1),
inference(unit_resulting_resolution,[],[f347,f205,f315]) ).
fof(f205,plain,
elem(m_Down(sK5),queue(host(sK6))),
inference(cnf_transformation,[],[f147]) ).
fof(f347,plain,
host(sK1) = host(sK5),
inference(backward_demodulation,[],[f346,f193]) ).
fof(f346,plain,
host(sK2) = host(sK5),
inference(backward_demodulation,[],[f202,f195]) ).
fof(f195,plain,
host(sK2) = host(sK4),
inference(cnf_transformation,[],[f147]) ).
fof(f202,plain,
host(sK4) = host(sK5),
inference(cnf_transformation,[],[f147]) ).
fof(f1159,plain,
elem(m_Down(sK7),queue(host(sK1))),
inference(superposition,[],[f448,f380]) ).
fof(f380,plain,
cons(m_Down(sK3),sK0) = queue(host(sK1)),
inference(forward_demodulation,[],[f184,f193]) ).
fof(f184,plain,
queue(host(sK2)) = cons(m_Down(sK3),sK0),
inference(cnf_transformation,[],[f147]) ).
fof(f448,plain,
! [X0] : elem(m_Down(sK7),cons(X0,sK0)),
inference(unit_resulting_resolution,[],[f204,f299]) ).
fof(f299,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox/tmp/tmp.AICcuOdkid/Vampire---4.8_16415',axiom_46) ).
fof(f204,plain,
elem(m_Down(sK7),sK0),
inference(cnf_transformation,[],[f147]) ).
fof(f385,plain,
~ spl12_2,
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f384,plain,
( $false
| ~ spl12_2 ),
inference(trivial_inequality_removal,[],[f381]) ).
fof(f381,plain,
( host(sK1) != host(sK1)
| ~ spl12_2 ),
inference(backward_demodulation,[],[f349,f324]) ).
fof(f324,plain,
( sK1 = sK6
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f322,plain,
( spl12_2
<=> sK1 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f325,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f200,f322,f318]) ).
fof(f200,plain,
( sK1 = sK6
| setIn(sK6,alive) ),
inference(cnf_transformation,[],[f147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV452+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n010.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 07:25:19 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.23/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.AICcuOdkid/Vampire---4.8_16415
% 0.23/0.37 % (16538)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.42 % (16540)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.23/0.43 % (16544)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.23/0.43 % (16543)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.43 % (16545)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.23/0.44 % (16539)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.23/0.44 % (16542)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.23/0.44 % (16541)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.23/0.46 % (16542)First to succeed.
% 0.23/0.47 % (16542)Refutation found. Thanks to Tanya!
% 0.23/0.47 % SZS status Theorem for Vampire---4
% 0.23/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.47 % (16542)------------------------------
% 0.23/0.47 % (16542)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.47 % (16542)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.47 % (16542)Termination reason: Refutation
% 0.23/0.47
% 0.23/0.47 % (16542)Memory used [KB]: 6268
% 0.23/0.47 % (16542)Time elapsed: 0.032 s
% 0.23/0.47 % (16542)------------------------------
% 0.23/0.47 % (16542)------------------------------
% 0.23/0.47 % (16538)Success in time 0.094 s
% 0.23/0.47 16545 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.AICcuOdkid/Vampire---4.8_16415
% 0.23/0.47 % (16545)------------------------------
% 0.23/0.47 % (16545)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.47 % (16545)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.47 % (16545)Termination reason: Unknown
% 0.23/0.47 % (16545)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (16545)Memory used [KB]: 1279
% 0.23/0.47 % (16545)Time elapsed: 0.036 s
% 0.23/0.47 % (16545)------------------------------
% 0.23/0.47 % (16545)------------------------------
% 0.23/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------