TSTP Solution File: SWV455+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV455+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n003.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 : Wed Aug 31 18:49:55 EDT 2022
% Result : Theorem 1.43s 0.53s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 12 unt; 0 def)
% Number of atoms : 555 ( 228 equ)
% Maximal formula atoms : 92 ( 13 avg)
% Number of connectives : 837 ( 323 ~; 177 |; 279 &)
% ( 2 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 9 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 17 con; 0-2 aty)
% Number of variables : 282 ( 232 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f394,plain,
$false,
inference(subsumption_resolution,[],[f390,f164]) ).
fof(f164,plain,
elem(m_Down(sK6),sK2),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( elec_1 != index(status,host(sK1))
| ( host(sK0) != sK3
& ~ setIn(sK3,index(down,host(sK1)))
& leq(s(zero),sK3)
& ~ leq(host(sK1),sK3) ) )
& ! [X4,X5,X6] :
( ~ elem(m_Ack(X5,X4),queue(host(X6)))
| ~ leq(host(X4),host(X5)) )
& host(sK4) != host(sK1)
& host(sK5) = host(sK1)
& setIn(sK4,alive)
& host(sK6) = host(sK4)
& host(sK7) = host(sK5)
& host(sK4) != host(sK5)
& elem(m_Down(sK7),queue(host(sK4)))
& setIn(sK5,alive)
& elem(m_Down(sK6),sK2)
& ~ leq(host(sK1),host(sK0))
& ! [X11,X12] :
( ~ elem(m_Halt(X12),queue(host(X11)))
| ~ leq(host(X11),host(X12)) )
& ! [X13,X14] :
( ~ elem(m_Down(X14),queue(host(X13)))
| ~ setIn(X14,alive) )
& setIn(sK1,alive)
& cons(m_Down(sK0),sK2) = queue(host(sK1))
& ! [X15,X16,X17,X18] :
( host(X17) = host(X16)
| ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X15),queue(host(X17)))
| host(X15) != host(X16)
| host(X17) != host(X18)
| ~ elem(m_Down(X18),queue(host(X16))) )
& ! [X19,X20] :
( host(X20) != host(X19)
| setIn(X20,alive)
| ~ leq(X19,X20)
| ~ setIn(X19,alive) )
& ! [X21,X22] :
( ~ setIn(X21,alive)
| X21 = X22
| host(X22) != host(X21)
| ~ setIn(X22,alive) )
& ( norm != index(status,host(sK1))
| host(sK0) != index(ldr,host(sK1)) )
& ! [X23,X24] :
( ~ elem(m_Down(X23),queue(host(X24)))
| host(X23) != host(X24) )
& ! [X25,X26] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X26))) )
& ( wait != index(status,host(sK1))
| host(sK0) != host(index(elid,host(sK1))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f115,f120,f119,f118,f117,f116]) ).
fof(f116,plain,
( ? [X0,X1,X2] :
( ( elec_1 != index(status,host(X1))
| ? [X3] :
( host(X0) != X3
& ~ setIn(X3,index(down,host(X1)))
& leq(s(zero),X3)
& ~ leq(host(X1),X3) ) )
& ! [X4,X5,X6] :
( ~ elem(m_Ack(X5,X4),queue(host(X6)))
| ~ leq(host(X4),host(X5)) )
& ? [X7] :
( host(X1) != host(X7)
& ? [X8,X9] :
( host(X1) = host(X8)
& ? [X10] :
( setIn(X7,alive)
& host(X7) = host(X9)
& host(X10) = host(X8)
& host(X7) != host(X8)
& elem(m_Down(X10),queue(host(X7)))
& setIn(X8,alive)
& elem(m_Down(X9),X2) ) ) )
& ~ leq(host(X1),host(X0))
& ! [X11,X12] :
( ~ elem(m_Halt(X12),queue(host(X11)))
| ~ leq(host(X11),host(X12)) )
& ! [X13,X14] :
( ~ elem(m_Down(X14),queue(host(X13)))
| ~ setIn(X14,alive) )
& setIn(X1,alive)
& cons(m_Down(X0),X2) = queue(host(X1))
& ! [X15,X16,X17,X18] :
( host(X17) = host(X16)
| ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X15),queue(host(X17)))
| host(X15) != host(X16)
| host(X17) != host(X18)
| ~ elem(m_Down(X18),queue(host(X16))) )
& ! [X19,X20] :
( host(X20) != host(X19)
| setIn(X20,alive)
| ~ leq(X19,X20)
| ~ setIn(X19,alive) )
& ! [X21,X22] :
( ~ setIn(X21,alive)
| X21 = X22
| host(X22) != host(X21)
| ~ setIn(X22,alive) )
& ( norm != index(status,host(X1))
| host(X0) != index(ldr,host(X1)) )
& ! [X23,X24] :
( ~ elem(m_Down(X23),queue(host(X24)))
| host(X23) != host(X24) )
& ! [X25,X26] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X26))) )
& ( wait != index(status,host(X1))
| host(X0) != host(index(elid,host(X1))) ) )
=> ( ( elec_1 != index(status,host(sK1))
| ? [X3] :
( host(sK0) != X3
& ~ setIn(X3,index(down,host(sK1)))
& leq(s(zero),X3)
& ~ leq(host(sK1),X3) ) )
& ! [X4,X5,X6] :
( ~ elem(m_Ack(X5,X4),queue(host(X6)))
| ~ leq(host(X4),host(X5)) )
& ? [X7] :
( host(X7) != host(sK1)
& ? [X9,X8] :
( host(sK1) = host(X8)
& ? [X10] :
( setIn(X7,alive)
& host(X7) = host(X9)
& host(X10) = host(X8)
& host(X7) != host(X8)
& elem(m_Down(X10),queue(host(X7)))
& setIn(X8,alive)
& elem(m_Down(X9),sK2) ) ) )
& ~ leq(host(sK1),host(sK0))
& ! [X11,X12] :
( ~ elem(m_Halt(X12),queue(host(X11)))
| ~ leq(host(X11),host(X12)) )
& ! [X13,X14] :
( ~ elem(m_Down(X14),queue(host(X13)))
| ~ setIn(X14,alive) )
& setIn(sK1,alive)
& cons(m_Down(sK0),sK2) = queue(host(sK1))
& ! [X15,X16,X17,X18] :
( host(X17) = host(X16)
| ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X15),queue(host(X17)))
| host(X15) != host(X16)
| host(X17) != host(X18)
| ~ elem(m_Down(X18),queue(host(X16))) )
& ! [X19,X20] :
( host(X20) != host(X19)
| setIn(X20,alive)
| ~ leq(X19,X20)
| ~ setIn(X19,alive) )
& ! [X21,X22] :
( ~ setIn(X21,alive)
| X21 = X22
| host(X22) != host(X21)
| ~ setIn(X22,alive) )
& ( norm != index(status,host(sK1))
| host(sK0) != index(ldr,host(sK1)) )
& ! [X23,X24] :
( ~ elem(m_Down(X23),queue(host(X24)))
| host(X23) != host(X24) )
& ! [X25,X26] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X26))) )
& ( wait != index(status,host(sK1))
| host(sK0) != host(index(elid,host(sK1))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
( ? [X3] :
( host(sK0) != X3
& ~ setIn(X3,index(down,host(sK1)))
& leq(s(zero),X3)
& ~ leq(host(sK1),X3) )
=> ( host(sK0) != sK3
& ~ setIn(sK3,index(down,host(sK1)))
& leq(s(zero),sK3)
& ~ leq(host(sK1),sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
( ? [X7] :
( host(X7) != host(sK1)
& ? [X9,X8] :
( host(sK1) = host(X8)
& ? [X10] :
( setIn(X7,alive)
& host(X7) = host(X9)
& host(X10) = host(X8)
& host(X7) != host(X8)
& elem(m_Down(X10),queue(host(X7)))
& setIn(X8,alive)
& elem(m_Down(X9),sK2) ) ) )
=> ( host(sK4) != host(sK1)
& ? [X9,X8] :
( host(sK1) = host(X8)
& ? [X10] :
( setIn(sK4,alive)
& host(sK4) = host(X9)
& host(X10) = host(X8)
& host(sK4) != host(X8)
& elem(m_Down(X10),queue(host(sK4)))
& setIn(X8,alive)
& elem(m_Down(X9),sK2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
( ? [X9,X8] :
( host(sK1) = host(X8)
& ? [X10] :
( setIn(sK4,alive)
& host(sK4) = host(X9)
& host(X10) = host(X8)
& host(sK4) != host(X8)
& elem(m_Down(X10),queue(host(sK4)))
& setIn(X8,alive)
& elem(m_Down(X9),sK2) ) )
=> ( host(sK5) = host(sK1)
& ? [X10] :
( setIn(sK4,alive)
& host(sK6) = host(sK4)
& host(X10) = host(sK5)
& host(sK4) != host(sK5)
& elem(m_Down(X10),queue(host(sK4)))
& setIn(sK5,alive)
& elem(m_Down(sK6),sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
( ? [X10] :
( setIn(sK4,alive)
& host(sK6) = host(sK4)
& host(X10) = host(sK5)
& host(sK4) != host(sK5)
& elem(m_Down(X10),queue(host(sK4)))
& setIn(sK5,alive)
& elem(m_Down(sK6),sK2) )
=> ( setIn(sK4,alive)
& host(sK6) = host(sK4)
& host(sK7) = host(sK5)
& host(sK4) != host(sK5)
& elem(m_Down(sK7),queue(host(sK4)))
& setIn(sK5,alive)
& elem(m_Down(sK6),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
? [X0,X1,X2] :
( ( elec_1 != index(status,host(X1))
| ? [X3] :
( host(X0) != X3
& ~ setIn(X3,index(down,host(X1)))
& leq(s(zero),X3)
& ~ leq(host(X1),X3) ) )
& ! [X4,X5,X6] :
( ~ elem(m_Ack(X5,X4),queue(host(X6)))
| ~ leq(host(X4),host(X5)) )
& ? [X7] :
( host(X1) != host(X7)
& ? [X8,X9] :
( host(X1) = host(X8)
& ? [X10] :
( setIn(X7,alive)
& host(X7) = host(X9)
& host(X10) = host(X8)
& host(X7) != host(X8)
& elem(m_Down(X10),queue(host(X7)))
& setIn(X8,alive)
& elem(m_Down(X9),X2) ) ) )
& ~ leq(host(X1),host(X0))
& ! [X11,X12] :
( ~ elem(m_Halt(X12),queue(host(X11)))
| ~ leq(host(X11),host(X12)) )
& ! [X13,X14] :
( ~ elem(m_Down(X14),queue(host(X13)))
| ~ setIn(X14,alive) )
& setIn(X1,alive)
& cons(m_Down(X0),X2) = queue(host(X1))
& ! [X15,X16,X17,X18] :
( host(X17) = host(X16)
| ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X15),queue(host(X17)))
| host(X15) != host(X16)
| host(X17) != host(X18)
| ~ elem(m_Down(X18),queue(host(X16))) )
& ! [X19,X20] :
( host(X20) != host(X19)
| setIn(X20,alive)
| ~ leq(X19,X20)
| ~ setIn(X19,alive) )
& ! [X21,X22] :
( ~ setIn(X21,alive)
| X21 = X22
| host(X22) != host(X21)
| ~ setIn(X22,alive) )
& ( norm != index(status,host(X1))
| host(X0) != index(ldr,host(X1)) )
& ! [X23,X24] :
( ~ elem(m_Down(X23),queue(host(X24)))
| host(X23) != host(X24) )
& ! [X25,X26] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X26))) )
& ( wait != index(status,host(X1))
| host(X0) != host(index(elid,host(X1))) ) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
? [X3,X2,X1] :
( ( elec_1 != index(status,host(X2))
| ? [X23] :
( host(X3) != X23
& ~ setIn(X23,index(down,host(X2)))
& leq(s(zero),X23)
& ~ leq(host(X2),X23) ) )
& ! [X20,X22,X21] :
( ~ elem(m_Ack(X22,X20),queue(host(X21)))
| ~ leq(host(X20),host(X22)) )
& ? [X24] :
( host(X2) != host(X24)
& ? [X26,X25] :
( host(X2) = host(X26)
& ? [X27] :
( setIn(X24,alive)
& host(X24) = host(X25)
& host(X26) = host(X27)
& host(X26) != host(X24)
& elem(m_Down(X27),queue(host(X24)))
& setIn(X26,alive)
& elem(m_Down(X25),X1) ) ) )
& ~ leq(host(X2),host(X3))
& ! [X18,X19] :
( ~ elem(m_Halt(X19),queue(host(X18)))
| ~ leq(host(X18),host(X19)) )
& ! [X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X9,alive) )
& setIn(X2,alive)
& cons(m_Down(X3),X1) = queue(host(X2))
& ! [X6,X5,X7,X4] :
( host(X5) = host(X7)
| ~ setIn(X5,alive)
| ~ setIn(X7,alive)
| ~ elem(m_Down(X6),queue(host(X7)))
| host(X5) != host(X6)
| host(X4) != host(X7)
| ~ elem(m_Down(X4),queue(host(X5))) )
& ! [X16,X17] :
( host(X17) != host(X16)
| setIn(X17,alive)
| ~ leq(X16,X17)
| ~ setIn(X16,alive) )
& ! [X14,X15] :
( ~ setIn(X14,alive)
| X14 = X15
| host(X14) != host(X15)
| ~ setIn(X15,alive) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ! [X10,X11] :
( ~ elem(m_Down(X10),queue(host(X11)))
| host(X10) != host(X11) )
& ! [X12,X13] :
( ~ setIn(X12,alive)
| ~ elem(m_Down(X12),queue(host(X13))) )
& ( wait != index(status,host(X2))
| host(X3) != host(index(elid,host(X2))) ) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
? [X3,X1,X2] :
( ? [X24] :
( ? [X26,X25] :
( ? [X27] :
( elem(m_Down(X27),queue(host(X24)))
& elem(m_Down(X25),X1)
& host(X26) = host(X27)
& host(X26) != host(X24)
& setIn(X26,alive)
& host(X24) = host(X25)
& setIn(X24,alive) )
& host(X2) = host(X26) )
& host(X2) != host(X24) )
& ( ? [X23] :
( host(X3) != X23
& ~ setIn(X23,index(down,host(X2)))
& ~ leq(host(X2),X23)
& leq(s(zero),X23) )
| elec_1 != index(status,host(X2)) )
& ( wait != index(status,host(X2))
| host(X3) != host(index(elid,host(X2))) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X18,X19] :
( ~ elem(m_Halt(X19),queue(host(X18)))
| ~ leq(host(X18),host(X19)) )
& ! [X12,X13] :
( ~ setIn(X12,alive)
| ~ elem(m_Down(X12),queue(host(X13))) )
& ! [X5,X4,X6,X7] :
( ~ elem(m_Down(X6),queue(host(X7)))
| ~ elem(m_Down(X4),queue(host(X5)))
| host(X4) != host(X7)
| ~ setIn(X7,alive)
| host(X5) = host(X7)
| ~ setIn(X5,alive)
| host(X5) != host(X6) )
& ! [X10,X11] :
( ~ elem(m_Down(X10),queue(host(X11)))
| host(X10) != host(X11) )
& ! [X17,X16] :
( ~ setIn(X16,alive)
| setIn(X17,alive)
| ~ leq(X16,X17)
| host(X17) != host(X16) )
& ! [X15,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X15,alive)
| X14 = X15
| host(X14) != host(X15) )
& ! [X20,X22,X21] :
( ~ elem(m_Ack(X22,X20),queue(host(X21)))
| ~ leq(host(X20),host(X22)) )
& cons(m_Down(X3),X1) = queue(host(X2))
& ! [X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X9,alive) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X3,X1,X2] :
( ( ! [X18,X19] :
( elem(m_Halt(X19),queue(host(X18)))
=> ~ leq(host(X18),host(X19)) )
& ! [X13,X12] :
( setIn(X12,alive)
=> ~ elem(m_Down(X12),queue(host(X13))) )
& ! [X5,X4,X6,X7] :
( ( host(X4) = host(X7)
& setIn(X7,alive)
& host(X5) != host(X7)
& setIn(X5,alive)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X6),queue(host(X7)))
& elem(m_Down(X4),queue(host(X5))) ) )
& ! [X10,X11] :
( elem(m_Down(X10),queue(host(X11)))
=> host(X10) != host(X11) )
& ! [X17,X16] :
( ( ~ setIn(X17,alive)
& leq(X16,X17)
& host(X17) = host(X16) )
=> ~ setIn(X16,alive) )
& ! [X15,X14] :
( ( X14 != X15
& host(X14) = host(X15) )
=> ( ~ setIn(X14,alive)
| ~ setIn(X15,alive) ) )
& ! [X21,X22,X20] :
( elem(m_Ack(X22,X20),queue(host(X21)))
=> ~ leq(host(X20),host(X22)) )
& cons(m_Down(X3),X1) = queue(host(X2))
& ! [X8,X9] :
( elem(m_Down(X9),queue(host(X8)))
=> ~ setIn(X9,alive) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( wait = index(status,host(X2))
& host(X3) = host(index(elid,host(X2))) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
=> ( ~ ( ! [X23] :
( ( ~ leq(host(X2),X23)
& leq(s(zero),X23) )
=> ( host(X3) = X23
| setIn(X23,index(down,host(X2))) ) )
& elec_1 = index(status,host(X2)) )
=> ! [X24] :
( host(X2) != host(X24)
=> ! [X26,X25] :
( host(X2) = host(X26)
=> ! [X27] :
( ( host(X26) = host(X27)
& host(X26) != host(X24)
& setIn(X26,alive)
& host(X24) = host(X25)
& setIn(X24,alive) )
=> ~ ( elem(m_Down(X27),queue(host(X24)))
& elem(m_Down(X25),X1) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X12,X11,X4,X5] :
( ( ! [X13,X6,X15,X14] :
( ( host(X13) = host(X14)
& setIn(X6,alive)
& host(X6) = host(X15)
& setIn(X14,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X13,X6] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X13,X6] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) )
& ! [X6,X13] :
( ( X6 != X13
& host(X6) = host(X13) )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X13,X6] :
( ( ~ setIn(X6,alive)
& host(X6) = host(X13)
& leq(X13,X6) )
=> ~ setIn(X13,alive) )
& queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = index(ldr,host(X4))
& norm = index(status,host(X4)) )
| ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) ) )
=> ( ~ ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( ~ leq(host(X4),X6)
& leq(s(zero),X6) )
=> ( setIn(X6,index(down,host(X4)))
| host(X5) = X6 ) ) )
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X16,X17] :
( host(X4) = host(X17)
=> ! [X18] :
( ( setIn(X17,alive)
& setIn(X6,alive)
& host(X6) = host(X16)
& host(X17) = host(X18)
& host(X6) != host(X17) )
=> ~ ( elem(m_Down(X18),queue(host(X6)))
& elem(m_Down(X16),X11) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X12,X11,X4,X5] :
( ( ! [X13,X6,X15,X14] :
( ( host(X13) = host(X14)
& setIn(X6,alive)
& host(X6) = host(X15)
& setIn(X14,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X13,X6] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X13,X6] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) )
& ! [X6,X13] :
( ( X6 != X13
& host(X6) = host(X13) )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X13,X6] :
( ( ~ setIn(X6,alive)
& host(X6) = host(X13)
& leq(X13,X6) )
=> ~ setIn(X13,alive) )
& queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = index(ldr,host(X4))
& norm = index(status,host(X4)) )
| ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) ) )
=> ( ~ ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( ~ leq(host(X4),X6)
& leq(s(zero),X6) )
=> ( setIn(X6,index(down,host(X4)))
| host(X5) = X6 ) ) )
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X16,X17] :
( host(X4) = host(X17)
=> ! [X18] :
( ( setIn(X17,alive)
& setIn(X6,alive)
& host(X6) = host(X16)
& host(X17) = host(X18)
& host(X6) != host(X17) )
=> ~ ( elem(m_Down(X18),queue(host(X6)))
& elem(m_Down(X16),X11) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f390,plain,
~ elem(m_Down(sK6),sK2),
inference(resolution,[],[f387,f372]) ).
fof(f372,plain,
~ elem(m_Down(sK6),queue(host(sK1))),
inference(subsumption_resolution,[],[f370,f160]) ).
fof(f160,plain,
setIn(sK1,alive),
inference(cnf_transformation,[],[f121]) ).
fof(f370,plain,
( ~ setIn(sK1,alive)
| ~ elem(m_Down(sK6),queue(host(sK1))) ),
inference(equality_resolution,[],[f367]) ).
fof(f367,plain,
! [X0] :
( host(X0) != host(sK1)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(subsumption_resolution,[],[f366,f250]) ).
fof(f250,plain,
! [X0] :
( host(X0) != host(sK4)
| ~ elem(m_Down(sK6),queue(host(X0))) ),
inference(superposition,[],[f154,f169]) ).
fof(f169,plain,
host(sK6) = host(sK4),
inference(cnf_transformation,[],[f121]) ).
fof(f154,plain,
! [X24,X23] :
( host(X23) != host(X24)
| ~ elem(m_Down(X23),queue(host(X24))) ),
inference(cnf_transformation,[],[f121]) ).
fof(f366,plain,
! [X0] :
( ~ setIn(X0,alive)
| host(X0) != host(sK1)
| host(X0) = host(sK4)
| ~ elem(m_Down(sK6),queue(host(X0))) ),
inference(subsumption_resolution,[],[f365,f170]) ).
fof(f170,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f121]) ).
fof(f365,plain,
! [X0] :
( host(X0) != host(sK1)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(sK4,alive)
| host(X0) = host(sK4) ),
inference(subsumption_resolution,[],[f363,f166]) ).
fof(f166,plain,
elem(m_Down(sK7),queue(host(sK4))),
inference(cnf_transformation,[],[f121]) ).
fof(f363,plain,
! [X0] :
( ~ setIn(X0,alive)
| host(X0) != host(sK1)
| host(X0) = host(sK4)
| ~ elem(m_Down(sK7),queue(host(sK4)))
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(sK4,alive) ),
inference(equality_resolution,[],[f352]) ).
fof(f352,plain,
! [X2,X3] :
( host(X3) != host(sK4)
| ~ setIn(X3,alive)
| host(X2) != host(sK1)
| ~ elem(m_Down(sK6),queue(host(X2)))
| ~ setIn(X2,alive)
| host(X2) = host(X3)
| ~ elem(m_Down(sK7),queue(host(X3))) ),
inference(superposition,[],[f348,f245]) ).
fof(f245,plain,
host(sK7) = host(sK1),
inference(backward_demodulation,[],[f168,f171]) ).
fof(f171,plain,
host(sK5) = host(sK1),
inference(cnf_transformation,[],[f121]) ).
fof(f168,plain,
host(sK7) = host(sK5),
inference(cnf_transformation,[],[f121]) ).
fof(f348,plain,
! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK6),queue(host(X1)))
| host(X0) = host(X1)
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X0) != host(sK4)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive) ),
inference(superposition,[],[f158,f169]) ).
fof(f158,plain,
! [X18,X16,X17,X15] :
( host(X17) != host(X18)
| ~ setIn(X16,alive)
| host(X17) = host(X16)
| host(X15) != host(X16)
| ~ elem(m_Down(X15),queue(host(X17)))
| ~ elem(m_Down(X18),queue(host(X16)))
| ~ setIn(X17,alive) ),
inference(cnf_transformation,[],[f121]) ).
fof(f387,plain,
! [X0] :
( elem(X0,queue(host(sK1)))
| ~ elem(X0,sK2) ),
inference(superposition,[],[f144,f159]) ).
fof(f159,plain,
cons(m_Down(sK0),sK2) = queue(host(sK1)),
inference(cnf_transformation,[],[f121]) ).
fof(f144,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) )
& ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) ) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X1,X2,X0] :
( ( elem(X1,X0)
| X1 = X2
| ~ elem(X1,cons(X2,X0)) )
& ( elem(X1,cons(X2,X0))
| ( ~ elem(X1,X0)
& X1 != X2 ) ) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X1,X2,X0] :
( ( elem(X1,X0)
| X1 = X2
| ~ elem(X1,cons(X2,X0)) )
& ( elem(X1,cons(X2,X0))
| ( ~ elem(X1,X0)
& X1 != X2 ) ) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X1,X2,X0] :
( ( elem(X1,X0)
| X1 = X2 )
<=> elem(X1,cons(X2,X0)) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X3,X4,X5] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV455+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 19:30:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 % (28165)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.46 % (28165)Instruction limit reached!
% 0.20/0.46 % (28165)------------------------------
% 0.20/0.46 % (28165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (28175)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.48 % (28165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (28165)Termination reason: Unknown
% 0.20/0.48 % (28165)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (28165)Memory used [KB]: 6268
% 0.20/0.48 % (28165)Time elapsed: 0.065 s
% 0.20/0.48 % (28165)Instructions burned: 13 (million)
% 0.20/0.48 % (28165)------------------------------
% 0.20/0.48 % (28165)------------------------------
% 0.20/0.50 % (28175)Instruction limit reached!
% 0.20/0.50 % (28175)------------------------------
% 0.20/0.50 % (28175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (28175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (28175)Termination reason: Unknown
% 0.20/0.50 % (28175)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (28175)Memory used [KB]: 6524
% 0.20/0.50 % (28175)Time elapsed: 0.091 s
% 0.20/0.50 % (28175)Instructions burned: 30 (million)
% 0.20/0.50 % (28175)------------------------------
% 0.20/0.50 % (28175)------------------------------
% 0.20/0.50 % (28159)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50 % (28156)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50 % (28158)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (28157)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (28157)Instruction limit reached!
% 0.20/0.51 % (28157)------------------------------
% 0.20/0.51 % (28157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28157)Termination reason: Unknown
% 0.20/0.51 % (28157)Termination phase: Preprocessing 3
% 0.20/0.51
% 0.20/0.51 % (28157)Memory used [KB]: 1535
% 0.20/0.51 % (28157)Time elapsed: 0.002 s
% 0.20/0.51 % (28157)Instructions burned: 3 (million)
% 0.20/0.51 % (28157)------------------------------
% 0.20/0.51 % (28157)------------------------------
% 1.32/0.51 % (28169)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.32/0.51 % (28169)Instruction limit reached!
% 1.32/0.51 % (28169)------------------------------
% 1.32/0.51 % (28169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.51 % (28169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.51 % (28169)Termination reason: Unknown
% 1.32/0.51 % (28169)Termination phase: Preprocessing 3
% 1.32/0.51
% 1.32/0.51 % (28169)Memory used [KB]: 1535
% 1.32/0.51 % (28169)Time elapsed: 0.002 s
% 1.32/0.51 % (28169)Instructions burned: 3 (million)
% 1.32/0.51 % (28169)------------------------------
% 1.32/0.51 % (28169)------------------------------
% 1.32/0.52 % (28179)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.52 % (28161)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.32/0.52 % (28160)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.32/0.52 % (28177)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.32/0.52 % (28181)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.52 % (28172)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.32/0.52 % (28172)Instruction limit reached!
% 1.32/0.52 % (28172)------------------------------
% 1.32/0.52 % (28172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52 % (28172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52 % (28172)Termination reason: Unknown
% 1.32/0.52 % (28172)Termination phase: Preprocessing 3
% 1.32/0.52
% 1.32/0.52 % (28172)Memory used [KB]: 1535
% 1.32/0.52 % (28172)Time elapsed: 0.002 s
% 1.32/0.52 % (28172)Instructions burned: 3 (million)
% 1.32/0.52 % (28172)------------------------------
% 1.32/0.52 % (28172)------------------------------
% 1.32/0.52 % (28184)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.32/0.52 % (28163)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.32/0.52 % (28180)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.32/0.53 % (28182)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.32/0.53 % (28183)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.43/0.53 % (28159)First to succeed.
% 1.43/0.53 % (28155)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.43/0.53 % (28156)Instruction limit reached!
% 1.43/0.53 % (28156)------------------------------
% 1.43/0.53 % (28156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53 % (28156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53 % (28156)Termination reason: Unknown
% 1.43/0.53 % (28156)Termination phase: Saturation
% 1.43/0.53
% 1.43/0.53 % (28156)Memory used [KB]: 6396
% 1.43/0.53 % (28156)Time elapsed: 0.139 s
% 1.43/0.53 % (28156)Instructions burned: 15 (million)
% 1.43/0.53 % (28156)------------------------------
% 1.43/0.53 % (28156)------------------------------
% 1.43/0.53 % (28183)Instruction limit reached!
% 1.43/0.53 % (28183)------------------------------
% 1.43/0.53 % (28183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53 % (28183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53 % (28183)Termination reason: Unknown
% 1.43/0.53 % (28183)Termination phase: Saturation
% 1.43/0.53
% 1.43/0.53 % (28183)Memory used [KB]: 6268
% 1.43/0.53 % (28183)Time elapsed: 0.004 s
% 1.43/0.53 % (28183)Instructions burned: 8 (million)
% 1.43/0.53 % (28183)------------------------------
% 1.43/0.53 % (28183)------------------------------
% 1.43/0.53 % (28159)Refutation found. Thanks to Tanya!
% 1.43/0.53 % SZS status Theorem for theBenchmark
% 1.43/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.53 % (28159)------------------------------
% 1.43/0.53 % (28159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53 % (28159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53 % (28159)Termination reason: Refutation
% 1.43/0.53
% 1.43/0.53 % (28159)Memory used [KB]: 6268
% 1.43/0.53 % (28159)Time elapsed: 0.140 s
% 1.43/0.53 % (28159)Instructions burned: 11 (million)
% 1.43/0.53 % (28159)------------------------------
% 1.43/0.53 % (28159)------------------------------
% 1.43/0.53 % (28154)Success in time 0.186 s
%------------------------------------------------------------------------------