%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV452+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:22:12 PM UTC 2026
% Result : Theorem 1.73s 1.75s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 14
% Syntax : Number of formulae : 113 ( 53 unt; 12 def)
% Number of atoms : 681 ( 285 equ)
% Maximal formula atoms : 50 ( 6 avg)
% Number of connectives : 787 ( 312 ~; 223 |; 197 &)
% ( 1 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 13 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 16 con; 0-2 aty)
% Number of variables : 265 ( 0 sgn 241 !; 24 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( elem(m_Down(X7),queue(host(X6)))
& elem(m_Down(X5),queue(host(X4))) ) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& leq(X5,X4)
& ~ setIn(X4,alive) )
=> ~ setIn(X5,alive) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> ~ setIn(X5,alive) )
& ! [X4,X5] :
( setIn(X5,alive)
=> ~ elem(m_Down(X5),queue(host(X4))) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
=> ( ( host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X4] :
( host(X2) = host(X4)
=> leq(X4,X1) ) )
=> ( host(X1) != s(zero)
=> ! [X4] :
( host(X2) = host(X4)
=> ! [X8,X9] :
( host(X2) != host(X9)
=> ! [X10] :
( ( host(X10) = host(X9)
& host(X8) = host(X4)
& host(X9) != host(X4)
& ( X9 = X1
| ( setIn(X9,alive)
& X9 != X2 ) )
& ( X4 = X1
| ( setIn(X4,alive)
& X4 != X2 ) ) )
=> ~ ( elem(m_Down(X8),queue(host(X9)))
& elem(m_Down(X10),X0) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X7,X6,X5] :
( ( host(X5) = host(X6)
& host(X7) = host(X4)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X6) != host(X4) )
=> ~ ( elem(m_Down(X7),queue(host(X6)))
& elem(m_Down(X5),queue(host(X4))) ) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& leq(X5,X4)
& ~ setIn(X4,alive) )
=> ~ setIn(X5,alive) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> ~ setIn(X5,alive) )
& ! [X4,X5] :
( setIn(X5,alive)
=> ~ elem(m_Down(X5),queue(host(X4))) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
=> ( ( host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X4] :
( host(X2) = host(X4)
=> leq(X4,X1) ) )
=> ( host(X1) != s(zero)
=> ! [X4] :
( host(X2) = host(X4)
=> ! [X8,X9] :
( host(X2) != host(X9)
=> ! [X10] :
( ( host(X10) = host(X9)
& host(X8) = host(X4)
& host(X9) != host(X4)
& ( X9 = X1
| ( setIn(X9,alive)
& X9 != X2 ) )
& ( X4 = X1
| ( setIn(X4,alive)
& X4 != X2 ) ) )
=> ~ ( elem(m_Down(X8),queue(host(X9)))
& elem(m_Down(X10),X0) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X19,X20,X21,X22] :
( ( host(X21) = host(X22)
& host(X19) = host(X20)
& setIn(X21,alive)
& setIn(X19,alive)
& host(X19) != host(X21) )
=> ~ ( elem(m_Down(X20),queue(host(X21)))
& elem(m_Down(X22),queue(host(X19))) ) )
& ! [X17,X18] :
( ( host(X17) = host(X18)
& X17 != X18 )
=> ( ~ setIn(X18,alive)
| ~ setIn(X17,alive) ) )
& ! [X15,X16] :
( ( host(X15) = host(X16)
& leq(X16,X15)
& ~ setIn(X15,alive) )
=> ~ setIn(X16,alive) )
& ! [X12,X13,X14] :
( elem(m_Ack(X14,X12),queue(host(X13)))
=> ~ leq(host(X12),host(X14)) )
& ! [X10,X11] :
( elem(m_Halt(X11),queue(host(X10)))
=> ~ leq(host(X10),host(X11)) )
& ! [X8,X9] :
( elem(m_Down(X9),queue(host(X8)))
=> host(X9) != host(X8) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> ~ setIn(X7,alive) )
& ! [X4,X5] :
( setIn(X5,alive)
=> ~ elem(m_Down(X5),queue(host(X4))) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
=> ( ( host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X23] :
( host(X2) = host(X23)
=> leq(X23,X1) ) )
=> ( host(X1) != s(zero)
=> ! [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(f85,plain,
? [X0,X1,X2,X3] :
( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X19,X20,X21,X22] :
( host(X21) != host(X22)
| host(X19) != host(X20)
| ~ setIn(X21,alive)
| ~ setIn(X19,alive)
| host(X19) = host(X21)
| ~ elem(m_Down(X20),queue(host(X21)))
| ~ elem(m_Down(X22),queue(host(X19))) )
& ! [X17,X18] :
( host(X17) != host(X18)
| X17 = X18
| ~ setIn(X18,alive)
| ~ setIn(X17,alive) )
& ! [X15,X16] :
( host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive)
| ~ setIn(X16,alive) )
& ! [X12,X13,X14] :
( ~ elem(m_Ack(X14,X12),queue(host(X13)))
| ~ leq(host(X12),host(X14)) )
& ! [X10,X11] :
( ~ elem(m_Halt(X11),queue(host(X10)))
| ~ leq(host(X10),host(X11)) )
& ! [X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| host(X9) != host(X8) )
& ! [X6,X7] :
( ~ elem(m_Down(X7),queue(host(X6)))
| ~ setIn(X7,alive) )
& ! [X4,X5] :
( ~ setIn(X5,alive)
| ~ elem(m_Down(X5),queue(host(X4))) )
& setIn(X2,alive)
& ~ leq(host(X2),host(X3))
& ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X23] :
( host(X2) != host(X23)
| leq(X23,X1) )
& host(X1) != s(zero)
& ? [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(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X1,X2,X3] :
( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X19,X20,X21,X22] :
( host(X21) != host(X22)
| host(X19) != host(X20)
| ~ setIn(X21,alive)
| ~ setIn(X19,alive)
| host(X19) = host(X21)
| ~ elem(m_Down(X20),queue(host(X21)))
| ~ elem(m_Down(X22),queue(host(X19))) )
& ! [X17,X18] :
( host(X17) != host(X18)
| X17 = X18
| ~ setIn(X18,alive)
| ~ setIn(X17,alive) )
& ! [X15,X16] :
( host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive)
| ~ setIn(X16,alive) )
& ! [X12,X13,X14] :
( ~ elem(m_Ack(X14,X12),queue(host(X13)))
| ~ leq(host(X12),host(X14)) )
& ! [X10,X11] :
( ~ elem(m_Halt(X11),queue(host(X10)))
| ~ leq(host(X10),host(X11)) )
& ! [X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| host(X9) != host(X8) )
& ! [X6,X7] :
( ~ elem(m_Down(X7),queue(host(X6)))
| ~ setIn(X7,alive) )
& ! [X4,X5] :
( ~ setIn(X5,alive)
| ~ elem(m_Down(X5),queue(host(X4))) )
& setIn(X2,alive)
& ~ leq(host(X2),host(X3))
& ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X23] :
( host(X2) != host(X23)
| leq(X23,X1) )
& host(X1) != s(zero)
& ? [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(flattening,[],[f85]) ).
fof(f92,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,[],[f47]) ).
fof(f93,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,[],[f92]) ).
fof(f112,plain,
? [X0,X1,X2,X3] :
( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X24,X25,X26,X27] :
( host(X26) != host(X27)
| host(X24) != host(X25)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive)
| host(X24) = host(X26)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X24))) )
& ! [X22,X23] :
( host(X22) != host(X23)
| X22 = X23
| ~ setIn(X23,alive)
| ~ setIn(X22,alive) )
& ! [X20,X21] :
( host(X21) != host(X20)
| ~ leq(X21,X20)
| setIn(X20,alive)
| ~ setIn(X21,alive) )
& ! [X17,X18,X19] :
( ~ elem(m_Ack(X19,X17),queue(host(X18)))
| ~ leq(host(X17),host(X19)) )
& ! [X15,X16] :
( ~ elem(m_Halt(X16),queue(host(X15)))
| ~ leq(host(X15),host(X16)) )
& ! [X13,X14] :
( ~ elem(m_Down(X14),queue(host(X13)))
| host(X13) != host(X14) )
& ! [X11,X12] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X12,alive) )
& ! [X9,X10] :
( ~ setIn(X10,alive)
| ~ elem(m_Down(X10),queue(host(X9))) )
& setIn(X2,alive)
& ~ leq(host(X2),host(X3))
& ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X8] :
( host(X2) != host(X8)
| leq(X8,X1) )
& host(X1) != s(zero)
& ? [X4] :
( host(X2) = host(X4)
& ? [X5,X6] :
( host(X2) != host(X6)
& ? [X7] :
( 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 ) )
& elem(m_Down(X5),queue(host(X6)))
& elem(m_Down(X7),X0) ) ) ) ),
inference(rectify,[],[f86]) ).
fof(f113,plain,
( queue(host(sK5)) = cons(m_Down(sK6),sK3)
& ! [X24,X25,X26,X27] :
( host(X26) != host(X27)
| host(X24) != host(X25)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive)
| host(X24) = host(X26)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X24))) )
& ! [X22,X23] :
( host(X22) != host(X23)
| X22 = X23
| ~ setIn(X23,alive)
| ~ setIn(X22,alive) )
& ! [X20,X21] :
( host(X21) != host(X20)
| ~ leq(X21,X20)
| setIn(X20,alive)
| ~ setIn(X21,alive) )
& ! [X17,X18,X19] :
( ~ elem(m_Ack(X19,X17),queue(host(X18)))
| ~ leq(host(X17),host(X19)) )
& ! [X15,X16] :
( ~ elem(m_Halt(X16),queue(host(X15)))
| ~ leq(host(X15),host(X16)) )
& ! [X13,X14] :
( ~ elem(m_Down(X14),queue(host(X13)))
| host(X13) != host(X14) )
& ! [X11,X12] :
( ~ elem(m_Down(X12),queue(host(X11)))
| ~ setIn(X12,alive) )
& ! [X9,X10] :
( ~ setIn(X10,alive)
| ~ elem(m_Down(X10),queue(host(X9))) )
& setIn(sK5,alive)
& ~ leq(host(sK5),host(sK6))
& ( ( host(sK6) = host(index(elid,host(sK5)))
& wait = index(status,host(sK5)) )
| ( norm = index(status,host(sK5))
& host(sK6) = index(ldr,host(sK5)) ) )
& host(sK5) = host(sK4)
& ~ setIn(sK4,pids)
& ! [X8] :
( host(X8) != host(sK5)
| leq(X8,sK4) )
& s(zero) != host(sK4)
& host(sK7) = host(sK5)
& host(sK9) != host(sK5)
& host(sK9) = host(sK10)
& host(sK7) = host(sK8)
& host(sK9) != host(sK7)
& ( sK4 = sK9
| ( setIn(sK9,alive)
& sK5 != sK9 ) )
& ( sK4 = sK7
| ( setIn(sK7,alive)
& sK5 != sK7 ) )
& elem(m_Down(sK8),queue(host(sK9)))
& elem(m_Down(sK10),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X7,sK10)],[f112]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ elem(X0,X2)
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f210,plain,
queue(host(sK5)) = cons(m_Down(sK6),sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f211,plain,
! [X26,X27,X24,X25] :
( host(X26) != host(X27)
| host(X24) != host(X25)
| ~ setIn(X26,alive)
| ~ setIn(X24,alive)
| host(X24) = host(X26)
| ~ elem(m_Down(X25),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X24))) ),
inference(cnf_transformation,[],[f113]) ).
fof(f212,plain,
! [X22,X23] :
( host(X22) != host(X23)
| X22 = X23
| ~ setIn(X23,alive)
| ~ setIn(X22,alive) ),
inference(cnf_transformation,[],[f113]) ).
fof(f213,plain,
! [X21,X20] :
( host(X21) != host(X20)
| ~ leq(X21,X20)
| setIn(X20,alive)
| ~ setIn(X21,alive) ),
inference(cnf_transformation,[],[f113]) ).
fof(f216,plain,
! [X14,X13] :
( ~ elem(m_Down(X14),queue(host(X13)))
| host(X13) != host(X14) ),
inference(cnf_transformation,[],[f113]) ).
fof(f219,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f225,plain,
host(sK5) = host(sK4),
inference(cnf_transformation,[],[f113]) ).
fof(f227,plain,
! [X8] :
( host(X8) != host(sK5)
| leq(X8,sK4) ),
inference(cnf_transformation,[],[f113]) ).
fof(f229,plain,
host(sK7) = host(sK5),
inference(cnf_transformation,[],[f113]) ).
fof(f231,plain,
host(sK9) = host(sK10),
inference(cnf_transformation,[],[f113]) ).
fof(f232,plain,
host(sK7) = host(sK8),
inference(cnf_transformation,[],[f113]) ).
fof(f234,plain,
( sK4 = sK9
| setIn(sK9,alive) ),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
( sK4 = sK7
| setIn(sK7,alive) ),
inference(cnf_transformation,[],[f113]) ).
fof(f238,plain,
elem(m_Down(sK8),queue(host(sK9))),
inference(cnf_transformation,[],[f113]) ).
fof(f239,plain,
elem(m_Down(sK10),sK3),
inference(cnf_transformation,[],[f113]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( elem(X0,cons(X2,X1))
| ~ elem(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_139,negated_conjecture,
elem(m_Down(sK10),sK3),
inference(cnf_transformation,[],[f239]) ).
tcf(c_140,negated_conjecture,
elem(m_Down(sK8),queue(host(sK9))),
inference(cnf_transformation,[],[f238]) ).
tcf(c_142,negated_conjecture,
( setIn(sK7,alive)
| ( sK7 = sK4 ) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_144,negated_conjecture,
( setIn(sK9,alive)
| ( sK9 = sK4 ) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_146,negated_conjecture,
host(sK8) = host(sK7),
inference(cnf_transformation,[],[f232]) ).
tcf(c_147,negated_conjecture,
host(sK10) = host(sK9),
inference(cnf_transformation,[],[f231]) ).
tcf(c_149,negated_conjecture,
host(sK5) = host(sK7),
inference(cnf_transformation,[],[f229]) ).
tcf(c_151,negated_conjecture,
! [X0: $i] :
( leq(X0,sK4)
| ( host(X0) != host(sK5) ) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_153,negated_conjecture,
host(sK5) = host(sK4),
inference(cnf_transformation,[],[f225]) ).
tcf(c_159,negated_conjecture,
setIn(sK5,alive),
inference(cnf_transformation,[],[f219]) ).
tcf(c_162,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X0) != host(X1) ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_165,negated_conjecture,
! [X0: $i,X1: $i] :
( setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ leq(X0,X1)
| ( host(X0) != host(X1) ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_166,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ( host(X0) != host(X1) ) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_167,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X3),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X2)))
| ( host(X2) != host(X3) )
| ( host(X0) != host(X1) ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_168,negated_conjecture,
cons(m_Down(sK6),sK3) = queue(host(sK5)),
inference(cnf_transformation,[],[f210]) ).
tcf(c_951,plain,
host(sK8) = host(sK5),
inference(light_normalisation,[status(thm)],[c_146,c_149]) ).
tcf(c_2289,definition,
iPr_def_10 = host(sK5),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2291,definition,
iPr_def_12 = host(sK8),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2292,definition,
iPr_def_13 = m_Down(sK6),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2293,definition,
iPr_def_14 = cons(iPr_def_13,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2294,definition,
iPr_def_15 = queue(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_2300,definition,
iPr_def_21 = host(sK4),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_2301,definition,
iPr_def_22 = host(sK7),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_2302,definition,
iPr_def_23 = host(sK9),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_2303,definition,
iPr_def_24 = host(sK10),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_2304,definition,
iPr_def_25 = m_Down(sK8),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_2305,definition,
iPr_def_26 = queue(iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_2306,definition,
iPr_def_27 = m_Down(sK10),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_2308,plain,
iPr_def_12 = iPr_def_10,
inference(demodulation,[status(thm)],[c_951,c_2291]) ).
tcf(c_2309,negated_conjecture,
iPr_def_14 = iPr_def_15,
inference(demodulation,[status(thm)],[c_168,c_2294,c_2292,c_2293]) ).
tcf(c_2310,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( host(X0) = host(X2) )
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X3),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X2)))
| ( host(X2) != host(X3) )
| ( host(X0) != host(X1) ) ),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_2311,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ( host(X0) != host(X1) ) ),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_2312,negated_conjecture,
! [X0: $i,X1: $i] :
( setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ leq(X0,X1)
| ( host(X0) != host(X1) ) ),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_2315,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X0) != host(X1) ) ),
inference(demodulation,[status(thm)],[c_162]) ).
tcf(c_2317,negated_conjecture,
setIn(sK5,alive),
inference(demodulation,[status(thm)],[c_159]) ).
tcf(c_2323,negated_conjecture,
iPr_def_10 = iPr_def_21,
inference(demodulation,[status(thm)],[c_153,c_2300]) ).
tcf(c_2325,negated_conjecture,
! [X0: $i] :
( leq(X0,sK4)
| ( host(X0) != iPr_def_10 ) ),
inference(demodulation,[status(thm)],[c_151]) ).
tcf(c_2326,negated_conjecture,
iPr_def_10 = iPr_def_22,
inference(demodulation,[status(thm)],[c_149,c_2301]) ).
tcf(c_2328,negated_conjecture,
iPr_def_24 = iPr_def_23,
inference(demodulation,[status(thm)],[c_147,c_2303]) ).
tcf(c_2329,negated_conjecture,
( setIn(sK9,alive)
| ( sK9 = sK4 ) ),
inference(demodulation,[status(thm)],[c_144]) ).
tcf(c_2331,negated_conjecture,
( setIn(sK7,alive)
| ( sK7 = sK4 ) ),
inference(demodulation,[status(thm)],[c_142]) ).
tcf(c_2333,negated_conjecture,
elem(iPr_def_25,iPr_def_26),
inference(demodulation,[status(thm)],[c_140,c_2305,c_2304]) ).
tcf(c_2334,negated_conjecture,
elem(iPr_def_27,sK3),
inference(demodulation,[status(thm)],[c_139,c_2306]) ).
tcf(c_4235,plain,
leq(sK5,sK4),
inference(superposition,[status(thm)],[c_2289,c_2325]) ).
tcf(c_4293,plain,
! [X0: $i] :
( setIn(X0,alive)
| ~ setIn(sK5,alive)
| ~ leq(sK5,X0)
| ( host(X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_2289,c_2312]) ).
tcf(c_4296,plain,
! [X0: $i] :
( setIn(X0,alive)
| ~ leq(sK5,X0)
| ( host(X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4293,c_2317]) ).
tcf(c_4300,plain,
host(sK8) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2291,c_2308]) ).
tcf(c_4341,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ setIn(sK5,alive)
| ~ setIn(X0,alive)
| ( host(X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_2289,c_2311]) ).
tcf(c_4343,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ setIn(X0,alive)
| ( host(X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4341,c_2317]) ).
tcf(c_4367,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = host(sK5) )
| ~ setIn(sK5,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(sK5)))
| ~ elem(m_Down(X2),queue(host(X0)))
| ( host(X2) != iPr_def_10 )
| ( host(X0) != host(X1) ) ),
inference(superposition,[status(thm)],[c_2289,c_2310]) ).
tcf(c_4392,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = iPr_def_10 )
| ~ setIn(sK5,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),iPr_def_14)
| ~ elem(m_Down(X2),queue(host(X0)))
| ( host(X2) != iPr_def_10 )
| ( host(X0) != host(X1) ) ),
inference(light_normalisation,[status(thm)],[c_4367,c_2289,c_2294,c_2309]) ).
tcf(c_4393,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( host(X0) = iPr_def_10 )
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),iPr_def_14)
| ~ elem(m_Down(X2),queue(host(X0)))
| ( host(X2) != iPr_def_10 )
| ( host(X0) != host(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4392,c_2317]) ).
tcf(c_4652,plain,
host(sK4) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2300,c_2323]) ).
tcf(c_4713,plain,
host(sK7) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_2301,c_2326]) ).
tcf(c_4781,plain,
! [X0: $i] :
( ~ elem(m_Down(X0),queue(host(sK9)))
| ( host(X0) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2302,c_2315]) ).
tcf(c_4816,plain,
! [X0: $i] :
( ~ elem(m_Down(X0),iPr_def_26)
| ( host(X0) != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_4781,c_2302,c_2305]) ).
tcf(c_4855,plain,
host(sK10) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_2303,c_2328]) ).
tcf(c_4968,plain,
( setIn(sK4,alive)
| ~ leq(sK5,sK4) ),
inference(superposition,[status(thm)],[c_4652,c_4296]) ).
tcf(c_4971,plain,
setIn(sK4,alive),
inference(forward_subsumption_resolution,[status(thm)],[c_4968,c_4235]) ).
tcf(c_5178,plain,
( ( sK5 = sK7 )
| ~ setIn(sK7,alive) ),
inference(superposition,[status(thm)],[c_4713,c_4343]) ).
tcf(c_5182,plain,
( ( sK5 = sK4 )
| ~ setIn(sK4,alive) ),
inference(superposition,[status(thm)],[c_4652,c_4343]) ).
tcf(c_5185,plain,
sK5 = sK4,
inference(forward_subsumption_resolution,[status(thm)],[c_5182,c_4971]) ).
tcf(c_5213,plain,
( setIn(sK7,alive)
| ( sK5 = sK7 ) ),
inference(demodulation,[status(thm)],[c_2331,c_5185]) ).
tcf(c_5214,plain,
( setIn(sK9,alive)
| ( sK9 = sK5 ) ),
inference(demodulation,[status(thm)],[c_2329,c_5185]) ).
tcf(c_5223,plain,
sK5 = sK7,
inference(backward_subsumption_resolution,[status(thm)],[c_5178,c_5213]) ).
tcf(c_5225,plain,
host(sK5) = iPr_def_10,
inference(demodulation,[status(thm)],[c_4713,c_5223]) ).
tcf(c_5598,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = iPr_def_10 )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK9),iPr_def_14)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != iPr_def_10 )
| ( host(X0) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2302,c_4393]) ).
tcf(c_5600,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = iPr_def_10 )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK10),iPr_def_14)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != iPr_def_10 )
| ( host(X0) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4855,c_4393]) ).
tcf(c_5624,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = iPr_def_10 )
| ~ elem(iPr_def_27,iPr_def_14)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != iPr_def_10 )
| ( host(X0) != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_5600,c_2306]) ).
tcf(c_6115,plain,
! [X0: $i] :
( elem(X0,iPr_def_14)
| ~ elem(X0,sK3) ),
inference(superposition,[status(thm)],[c_2293,c_96]) ).
tcf(c_6401,plain,
elem(iPr_def_27,iPr_def_14),
inference(superposition,[status(thm)],[c_2334,c_6115]) ).
tcf(c_6486,plain,
( ~ elem(m_Down(sK8),iPr_def_26)
| ( iPr_def_10 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4300,c_4816]) ).
tcf(c_6496,plain,
( ~ elem(iPr_def_25,iPr_def_26)
| ( iPr_def_10 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_6486,c_2304]) ).
tcf(c_6497,plain,
iPr_def_10 != iPr_def_23,
inference(forward_subsumption_resolution,[status(thm)],[c_6496,c_2333]) ).
tcf(c_7765,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = iPr_def_10 )
| ~ setIn(X0,alive)
| ( host(X0) != iPr_def_23 )
| ( host(X1) != iPr_def_10 )
| ~ elem(m_Down(X1),queue(host(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_5598,c_5624,c_6401]) ).
tcf(c_7766,plain,
! [X0: $i,X1: $i] :
( ( host(X0) = iPr_def_10 )
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| ( host(X1) != iPr_def_10 )
| ( host(X0) != iPr_def_23 ) ),
inference(renaming,[status(thm)],[c_7765]) ).
tcf(c_7777,plain,
! [X0: $i] :
( ( host(sK9) = iPr_def_10 )
| ~ setIn(sK9,alive)
| ~ elem(m_Down(X0),queue(host(sK9)))
| ( host(X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_2302,c_7766]) ).
tcf(c_7784,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_23 )
| ~ setIn(sK9,alive)
| ~ elem(m_Down(X0),iPr_def_26)
| ( host(X0) != iPr_def_10 ) ),
inference(light_normalisation,[status(thm)],[c_7777,c_2302,c_2305]) ).
tcf(c_7785,plain,
! [X0: $i] :
( ~ setIn(sK9,alive)
| ~ elem(m_Down(X0),iPr_def_26)
| ( host(X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7784,c_6497]) ).
tcf(c_7807,plain,
( ~ setIn(sK9,alive)
| ~ elem(m_Down(sK8),iPr_def_26) ),
inference(superposition,[status(thm)],[c_4300,c_7785]) ).
tcf(c_7813,plain,
( ~ elem(iPr_def_25,iPr_def_26)
| ~ setIn(sK9,alive) ),
inference(light_normalisation,[status(thm)],[c_7807,c_2304]) ).
tcf(c_7814,plain,
~ setIn(sK9,alive),
inference(forward_subsumption_resolution,[status(thm)],[c_7813,c_2333]) ).
tcf(c_7816,plain,
sK9 = sK5,
inference(backward_subsumption_resolution,[status(thm)],[c_5214,c_7814]) ).
tcf(c_7827,plain,
host(sK5) = iPr_def_23,
inference(demodulation,[status(thm)],[c_2302,c_7816]) ).
tcf(c_7828,plain,
iPr_def_10 = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_7827,c_5225]) ).
tcf(c_7829,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7828,c_6497]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV452+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 19:47:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.73/1.75 % SZS status Started for theBenchmark.p
% 1.73/1.75 % SZS status Theorem for theBenchmark.p
% 1.73/1.75
% 1.73/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.73/1.75
% 1.73/1.75 % ------ iProver source info
% 1.73/1.75
% 1.73/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 1.73/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.73/1.75 % git: non_committed_changes: false
% 1.73/1.75
% 1.73/1.75 % ------ Parsing...
% 1.73/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.73/1.75
% 1.73/1.75 % ------ Preprocessing... sup_sim: 5 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.73/1.75
% 1.73/1.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.73/1.75
% 1.73/1.75 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.73/1.75 % ------ Proving...
% 1.73/1.75 % ------ Problem Properties
% 1.73/1.75
% 1.73/1.75 %
% 1.73/1.75 % clauses 132
% 1.73/1.75 % conjectures 26
% 1.73/1.75 % EPR 34
% 1.73/1.75 % Horn 111
% 1.73/1.75 % unary 75
% 1.73/1.75 % binary 35
% 1.73/1.75 % lits 224
% 1.73/1.75 % lits eq 109
% 1.73/1.75 % fd_pure 0
% 1.73/1.75 % fd_pseudo 0
% 1.73/1.75 % fd_cond 0
% 1.73/1.75 % fd_pseudo_cond 12
% 1.73/1.75 % AC symbols 0
% 1.73/1.75
% 1.73/1.75 % ------ Schedule dynamic 5 is on
% 1.73/1.75
% 1.73/1.75 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.73/1.75
% 1.73/1.75
% 1.73/1.75 % ------
% 1.73/1.75 % Current options:
% 1.73/1.75 % ------
% 1.73/1.75
% 1.73/1.75
% 1.73/1.75 %
% 1.73/1.75
% 1.73/1.75 % ------ Proving...
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% 1.73/1.75 % SZS status Theorem for theBenchmark.p
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% 1.73/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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% 1.73/1.75
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