%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV457+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 3.47s 1.06s
% Output : CNFRefutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 7
% Syntax : Number of formulae : 97 ( 41 unt; 0 def)
% Number of atoms : 727 ( 284 equ)
% Maximal formula atoms : 72 ( 7 avg)
% Number of connectives : 1038 ( 408 ~; 293 |; 269 &)
% ( 3 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 17 con; 0-2 aty)
% Number of variables : 387 ( 0 sgn 369 !; 18 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f32,axiom,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_31) ).
fof(f33,axiom,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_32) ).
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(f48,axiom,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(f67,conjecture,
! [X0,X1,X2] :
( ( queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X3,X4,X5] :
( ( host(X4) = index(pendack,host(X5))
& index(status,host(X5)) = elec_2
& leq(nbr_proc,index(pendack,host(X5)))
& elem(m_Ack(X5,X4),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X3)) = norm
& index(ldr,host(X3)) = host(X3)
& setIn(X3,alive) ) )
& ! [X3,X4,X5] :
( ( index(status,host(X5)) = elec_2
& elem(m_Halt(X5),queue(host(X4)))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X3)) )
=> ~ ( index(status,host(X3)) = norm
& index(ldr,host(X3)) = host(X3)
& setIn(X3,alive) ) )
& ! [X3,X4] :
( ( index(status,host(X4)) = elec_2
& index(status,host(X3)) = elec_2
& setIn(X4,alive)
& setIn(X3,alive)
& ~ leq(host(X3),host(X4)) )
=> ~ leq(index(pendack,host(X3)),index(pendack,host(X4))) )
& ! [X3,X4,X5] :
( ( host(X4) = host(X3)
& elem(m_Ack(X5,X3),queue(host(X5)))
& setIn(X5,alive)
& setIn(X4,alive) )
=> ~ setIn(host(X5),index(down,host(X4))) )
& ! [X3,X4,X5] :
( ( host(X5) = host(X3)
& elem(m_Ack(X5,X4),queue(host(X5)))
& elem(m_Down(X3),queue(host(X4))) )
=> ~ setIn(X5,alive) )
& ! [X3] :
( ( setIn(X3,alive)
& ( index(status,host(X3)) = elec_2
| index(status,host(X3)) = elec_1 ) )
=> index(elid,host(X3)) = X3 )
& ! [X3,X4] :
( ( index(status,host(X4)) = elec_1
& setIn(X4,alive) )
=> ~ elem(m_Ack(X4,X3),queue(host(X4))) )
& ! [X3,X4] :
( ( index(status,host(X4)) = elec_1
& setIn(X4,alive) )
=> ~ elem(m_Ack(X3,X4),queue(host(X3))) )
& ! [X3,X4] :
( ( elem(m_Ack(X4,X3),queue(host(X4)))
& setIn(X4,alive) )
=> leq(host(X3),index(pendack,host(X4))) )
& ! [X3,X4] :
( ( host(X4) = host(X3)
& X4 != X3 )
=> ( ~ setIn(X4,alive)
| ~ setIn(X3,alive) ) )
& ! [X3,X4] :
( ( host(X4) = host(X3)
& leq(X4,X3)
& ~ setIn(X3,alive) )
=> ~ setIn(X4,alive) )
& ! [X3,X4,X5] :
( elem(m_Ack(X5,X3),queue(host(X4)))
=> ~ leq(host(X3),host(X5)) )
& ! [X3,X4] :
( elem(m_Ldr(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X3,X4] :
( elem(m_Down(X4),queue(host(X3)))
=> ~ setIn(X4,alive) )
& ! [X3,X4] :
( elem(m_Ack(X4,X3),queue(host(X4)))
=> setIn(X4,pids) ) )
=> ( setIn(X1,alive)
=> ! [X3] :
( host(X1) != host(X3)
=> ! [X4,X6] :
( host(X2) = host(X6)
=> ( host(X1) != host(X6)
=> ( ( host(X4) = index(pendack,host(X6))
& index(status,host(X6)) = elec_2
& elem(m_Ack(X6,X4),snoc(queue(host(X6)),m_Ack(X2,X1)))
& leq(nbr_proc,index(pendack,host(X6)))
& setIn(X6,alive) )
=> ~ ( index(status,host(X3)) = norm
& index(ldr,host(X3)) = host(X3)
& setIn(X3,alive) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2] :
( ( queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X3,X4,X5] :
( ( host(X4) = index(pendack,host(X5))
& index(status,host(X5)) = elec_2
& leq(nbr_proc,index(pendack,host(X5)))
& elem(m_Ack(X5,X4),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X3)) = norm
& index(ldr,host(X3)) = host(X3)
& setIn(X3,alive) ) )
& ! [X3,X4,X5] :
( ( index(status,host(X5)) = elec_2
& elem(m_Halt(X5),queue(host(X4)))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X3)) )
=> ~ ( index(status,host(X3)) = norm
& index(ldr,host(X3)) = host(X3)
& setIn(X3,alive) ) )
& ! [X3,X4] :
( ( index(status,host(X4)) = elec_2
& index(status,host(X3)) = elec_2
& setIn(X4,alive)
& setIn(X3,alive)
& ~ leq(host(X3),host(X4)) )
=> ~ leq(index(pendack,host(X3)),index(pendack,host(X4))) )
& ! [X3,X4,X5] :
( ( host(X4) = host(X3)
& elem(m_Ack(X5,X3),queue(host(X5)))
& setIn(X5,alive)
& setIn(X4,alive) )
=> ~ setIn(host(X5),index(down,host(X4))) )
& ! [X3,X4,X5] :
( ( host(X5) = host(X3)
& elem(m_Ack(X5,X4),queue(host(X5)))
& elem(m_Down(X3),queue(host(X4))) )
=> ~ setIn(X5,alive) )
& ! [X3] :
( ( setIn(X3,alive)
& ( index(status,host(X3)) = elec_2
| index(status,host(X3)) = elec_1 ) )
=> index(elid,host(X3)) = X3 )
& ! [X3,X4] :
( ( index(status,host(X4)) = elec_1
& setIn(X4,alive) )
=> ~ elem(m_Ack(X4,X3),queue(host(X4))) )
& ! [X3,X4] :
( ( index(status,host(X4)) = elec_1
& setIn(X4,alive) )
=> ~ elem(m_Ack(X3,X4),queue(host(X3))) )
& ! [X3,X4] :
( ( elem(m_Ack(X4,X3),queue(host(X4)))
& setIn(X4,alive) )
=> leq(host(X3),index(pendack,host(X4))) )
& ! [X3,X4] :
( ( host(X4) = host(X3)
& X4 != X3 )
=> ( ~ setIn(X4,alive)
| ~ setIn(X3,alive) ) )
& ! [X3,X4] :
( ( host(X4) = host(X3)
& leq(X4,X3)
& ~ setIn(X3,alive) )
=> ~ setIn(X4,alive) )
& ! [X3,X4,X5] :
( elem(m_Ack(X5,X3),queue(host(X4)))
=> ~ leq(host(X3),host(X5)) )
& ! [X3,X4] :
( elem(m_Ldr(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X3,X4] :
( elem(m_Down(X4),queue(host(X3)))
=> ~ setIn(X4,alive) )
& ! [X3,X4] :
( elem(m_Ack(X4,X3),queue(host(X4)))
=> setIn(X4,pids) ) )
=> ( setIn(X1,alive)
=> ! [X3] :
( host(X1) != host(X3)
=> ! [X4,X6] :
( host(X2) = host(X6)
=> ( host(X1) != host(X6)
=> ( ( host(X4) = index(pendack,host(X6))
& index(status,host(X6)) = elec_2
& elem(m_Ack(X6,X4),snoc(queue(host(X6)),m_Ack(X2,X1)))
& leq(nbr_proc,index(pendack,host(X6)))
& setIn(X6,alive) )
=> ~ ( index(status,host(X3)) = norm
& index(ldr,host(X3)) = host(X3)
& setIn(X3,alive) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X1,X2] :
( ( queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X34,X35,X36] :
( ( index(pendack,host(X36)) = host(X35)
& elec_2 = index(status,host(X36))
& leq(nbr_proc,index(pendack,host(X36)))
& elem(m_Ack(X36,X35),queue(host(X36)))
& setIn(X36,alive) )
=> ~ ( norm = index(status,host(X34))
& host(X34) = index(ldr,host(X34))
& setIn(X34,alive) ) )
& ! [X31,X32,X33] :
( ( elec_2 = index(status,host(X33))
& elem(m_Halt(X33),queue(host(X32)))
& setIn(X33,alive)
& ~ leq(index(pendack,host(X33)),host(X31)) )
=> ~ ( norm = index(status,host(X31))
& host(X31) = index(ldr,host(X31))
& setIn(X31,alive) ) )
& ! [X29,X30] :
( ( elec_2 = index(status,host(X30))
& elec_2 = index(status,host(X29))
& setIn(X30,alive)
& setIn(X29,alive)
& ~ leq(host(X29),host(X30)) )
=> ~ leq(index(pendack,host(X29)),index(pendack,host(X30))) )
& ! [X26,X27,X28] :
( ( host(X27) = host(X26)
& elem(m_Ack(X28,X26),queue(host(X28)))
& setIn(X28,alive)
& setIn(X27,alive) )
=> ~ setIn(host(X28),index(down,host(X27))) )
& ! [X23,X24,X25] :
( ( host(X25) = host(X23)
& elem(m_Ack(X25,X24),queue(host(X25)))
& elem(m_Down(X23),queue(host(X24))) )
=> ~ setIn(X25,alive) )
& ! [X22] :
( ( setIn(X22,alive)
& ( elec_2 = index(status,host(X22))
| elec_1 = index(status,host(X22)) ) )
=> index(elid,host(X22)) = X22 )
& ! [X20,X21] :
( ( elec_1 = index(status,host(X21))
& setIn(X21,alive) )
=> ~ elem(m_Ack(X21,X20),queue(host(X21))) )
& ! [X18,X19] :
( ( elec_1 = index(status,host(X19))
& setIn(X19,alive) )
=> ~ elem(m_Ack(X18,X19),queue(host(X18))) )
& ! [X16,X17] :
( ( elem(m_Ack(X17,X16),queue(host(X17)))
& setIn(X17,alive) )
=> leq(host(X16),index(pendack,host(X17))) )
& ! [X14,X15] :
( ( host(X15) = host(X14)
& X14 != X15 )
=> ( ~ setIn(X15,alive)
| ~ setIn(X14,alive) ) )
& ! [X12,X13] :
( ( host(X13) = host(X12)
& leq(X13,X12)
& ~ setIn(X12,alive) )
=> ~ setIn(X13,alive) )
& ! [X9,X10,X11] :
( elem(m_Ack(X11,X9),queue(host(X10)))
=> ~ leq(host(X9),host(X11)) )
& ! [X7,X8] :
( elem(m_Ldr(X8),queue(host(X7)))
=> ~ leq(host(X7),host(X8)) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> ~ setIn(X6,alive) )
& ! [X3,X4] :
( elem(m_Ack(X4,X3),queue(host(X4)))
=> setIn(X4,pids) ) )
=> ( setIn(X1,alive)
=> ! [X37] :
( host(X1) != host(X37)
=> ! [X38,X39] :
( host(X2) = host(X39)
=> ( host(X1) != host(X39)
=> ( ( index(pendack,host(X39)) = host(X38)
& elec_2 = index(status,host(X39))
& elem(m_Ack(X39,X38),snoc(queue(host(X39)),m_Ack(X2,X1)))
& leq(nbr_proc,index(pendack,host(X39)))
& setIn(X39,alive) )
=> ~ ( norm = index(status,host(X37))
& host(X37) = index(ldr,host(X37))
& setIn(X37,alive) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
? [X0,X1,X2] :
( queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X34,X35,X36] :
( index(pendack,host(X36)) != host(X35)
| elec_2 != index(status,host(X36))
| ~ leq(nbr_proc,index(pendack,host(X36)))
| ~ elem(m_Ack(X36,X35),queue(host(X36)))
| ~ setIn(X36,alive)
| norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive) )
& ! [X31,X32,X33] :
( elec_2 != index(status,host(X33))
| ~ elem(m_Halt(X33),queue(host(X32)))
| ~ setIn(X33,alive)
| leq(index(pendack,host(X33)),host(X31))
| norm != index(status,host(X31))
| host(X31) != index(ldr,host(X31))
| ~ setIn(X31,alive) )
& ! [X29,X30] :
( elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X29))
| ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| leq(host(X29),host(X30))
| ~ leq(index(pendack,host(X29)),index(pendack,host(X30))) )
& ! [X26,X27,X28] :
( host(X27) != host(X26)
| ~ elem(m_Ack(X28,X26),queue(host(X28)))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| ~ setIn(host(X28),index(down,host(X27))) )
& ! [X23,X24,X25] :
( host(X25) != host(X23)
| ~ elem(m_Ack(X25,X24),queue(host(X25)))
| ~ elem(m_Down(X23),queue(host(X24)))
| ~ setIn(X25,alive) )
& ! [X22] :
( ~ setIn(X22,alive)
| ( elec_2 != index(status,host(X22))
& elec_1 != index(status,host(X22)) )
| index(elid,host(X22)) = X22 )
& ! [X20,X21] :
( elec_1 != index(status,host(X21))
| ~ setIn(X21,alive)
| ~ elem(m_Ack(X21,X20),queue(host(X21))) )
& ! [X18,X19] :
( elec_1 != index(status,host(X19))
| ~ setIn(X19,alive)
| ~ elem(m_Ack(X18,X19),queue(host(X18))) )
& ! [X16,X17] :
( ~ elem(m_Ack(X17,X16),queue(host(X17)))
| ~ setIn(X17,alive)
| leq(host(X16),index(pendack,host(X17))) )
& ! [X14,X15] :
( host(X15) != host(X14)
| X14 = X15
| ~ setIn(X15,alive)
| ~ setIn(X14,alive) )
& ! [X12,X13] :
( host(X13) != host(X12)
| ~ leq(X13,X12)
| setIn(X12,alive)
| ~ setIn(X13,alive) )
& ! [X9,X10,X11] :
( ~ elem(m_Ack(X11,X9),queue(host(X10)))
| ~ leq(host(X9),host(X11)) )
& ! [X7,X8] :
( ~ elem(m_Ldr(X8),queue(host(X7)))
| ~ leq(host(X7),host(X8)) )
& ! [X5,X6] :
( ~ elem(m_Down(X6),queue(host(X5)))
| ~ setIn(X6,alive) )
& ! [X3,X4] :
( ~ elem(m_Ack(X4,X3),queue(host(X4)))
| setIn(X4,pids) )
& setIn(X1,alive)
& ? [X37] :
( host(X1) != host(X37)
& ? [X38,X39] :
( host(X2) = host(X39)
& host(X1) != host(X39)
& index(pendack,host(X39)) = host(X38)
& elec_2 = index(status,host(X39))
& elem(m_Ack(X39,X38),snoc(queue(host(X39)),m_Ack(X2,X1)))
& leq(nbr_proc,index(pendack,host(X39)))
& setIn(X39,alive)
& norm = index(status,host(X37))
& host(X37) = index(ldr,host(X37))
& setIn(X37,alive) ) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f71,plain,
? [X0,X1,X2] :
( queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X34,X35,X36] :
( index(pendack,host(X36)) != host(X35)
| elec_2 != index(status,host(X36))
| ~ leq(nbr_proc,index(pendack,host(X36)))
| ~ elem(m_Ack(X36,X35),queue(host(X36)))
| ~ setIn(X36,alive)
| norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive) )
& ! [X31,X32,X33] :
( elec_2 != index(status,host(X33))
| ~ elem(m_Halt(X33),queue(host(X32)))
| ~ setIn(X33,alive)
| leq(index(pendack,host(X33)),host(X31))
| norm != index(status,host(X31))
| host(X31) != index(ldr,host(X31))
| ~ setIn(X31,alive) )
& ! [X29,X30] :
( elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X29))
| ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| leq(host(X29),host(X30))
| ~ leq(index(pendack,host(X29)),index(pendack,host(X30))) )
& ! [X26,X27,X28] :
( host(X27) != host(X26)
| ~ elem(m_Ack(X28,X26),queue(host(X28)))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| ~ setIn(host(X28),index(down,host(X27))) )
& ! [X23,X24,X25] :
( host(X25) != host(X23)
| ~ elem(m_Ack(X25,X24),queue(host(X25)))
| ~ elem(m_Down(X23),queue(host(X24)))
| ~ setIn(X25,alive) )
& ! [X22] :
( ~ setIn(X22,alive)
| ( elec_2 != index(status,host(X22))
& elec_1 != index(status,host(X22)) )
| index(elid,host(X22)) = X22 )
& ! [X20,X21] :
( elec_1 != index(status,host(X21))
| ~ setIn(X21,alive)
| ~ elem(m_Ack(X21,X20),queue(host(X21))) )
& ! [X18,X19] :
( elec_1 != index(status,host(X19))
| ~ setIn(X19,alive)
| ~ elem(m_Ack(X18,X19),queue(host(X18))) )
& ! [X16,X17] :
( ~ elem(m_Ack(X17,X16),queue(host(X17)))
| ~ setIn(X17,alive)
| leq(host(X16),index(pendack,host(X17))) )
& ! [X14,X15] :
( host(X15) != host(X14)
| X14 = X15
| ~ setIn(X15,alive)
| ~ setIn(X14,alive) )
& ! [X12,X13] :
( host(X13) != host(X12)
| ~ leq(X13,X12)
| setIn(X12,alive)
| ~ setIn(X13,alive) )
& ! [X9,X10,X11] :
( ~ elem(m_Ack(X11,X9),queue(host(X10)))
| ~ leq(host(X9),host(X11)) )
& ! [X7,X8] :
( ~ elem(m_Ldr(X8),queue(host(X7)))
| ~ leq(host(X7),host(X8)) )
& ! [X5,X6] :
( ~ elem(m_Down(X6),queue(host(X5)))
| ~ setIn(X6,alive) )
& ! [X3,X4] :
( ~ elem(m_Ack(X4,X3),queue(host(X4)))
| setIn(X4,pids) )
& setIn(X1,alive)
& ? [X37] :
( host(X1) != host(X37)
& ? [X38,X39] :
( host(X2) = host(X39)
& host(X1) != host(X39)
& index(pendack,host(X39)) = host(X38)
& elec_2 = index(status,host(X39))
& elem(m_Ack(X39,X38),snoc(queue(host(X39)),m_Ack(X2,X1)))
& leq(nbr_proc,index(pendack,host(X39)))
& setIn(X39,alive)
& norm = index(status,host(X37))
& host(X37) = index(ldr,host(X37))
& setIn(X37,alive) ) ) ),
inference(flattening,[],[f70]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(ennf_transformation,[],[f33]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(ennf_transformation,[],[f32]) ).
fof(f83,plain,
? [X0,X1,X2] :
( queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X37,X38,X39] :
( index(pendack,host(X39)) != host(X38)
| elec_2 != index(status,host(X39))
| ~ leq(nbr_proc,index(pendack,host(X39)))
| ~ elem(m_Ack(X39,X38),queue(host(X39)))
| ~ setIn(X39,alive)
| norm != index(status,host(X37))
| host(X37) != index(ldr,host(X37))
| ~ setIn(X37,alive) )
& ! [X34,X35,X36] :
( elec_2 != index(status,host(X36))
| ~ elem(m_Halt(X36),queue(host(X35)))
| ~ setIn(X36,alive)
| leq(index(pendack,host(X36)),host(X34))
| norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive) )
& ! [X32,X33] :
( elec_2 != index(status,host(X33))
| elec_2 != index(status,host(X32))
| ~ setIn(X33,alive)
| ~ setIn(X32,alive)
| leq(host(X32),host(X33))
| ~ leq(index(pendack,host(X32)),index(pendack,host(X33))) )
& ! [X29,X30,X31] :
( host(X29) != host(X30)
| ~ elem(m_Ack(X31,X29),queue(host(X31)))
| ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| ~ setIn(host(X31),index(down,host(X30))) )
& ! [X26,X27,X28] :
( host(X28) != host(X26)
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ elem(m_Down(X26),queue(host(X27)))
| ~ setIn(X28,alive) )
& ! [X25] :
( ~ setIn(X25,alive)
| ( elec_2 != index(status,host(X25))
& elec_1 != index(status,host(X25)) )
| index(elid,host(X25)) = X25 )
& ! [X23,X24] :
( elec_1 != index(status,host(X24))
| ~ setIn(X24,alive)
| ~ elem(m_Ack(X24,X23),queue(host(X24))) )
& ! [X21,X22] :
( elec_1 != index(status,host(X22))
| ~ setIn(X22,alive)
| ~ elem(m_Ack(X21,X22),queue(host(X21))) )
& ! [X19,X20] :
( ~ elem(m_Ack(X20,X19),queue(host(X20)))
| ~ setIn(X20,alive)
| leq(host(X19),index(pendack,host(X20))) )
& ! [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_Ldr(X11),queue(host(X10)))
| ~ leq(host(X10),host(X11)) )
& ! [X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X9,alive) )
& ! [X6,X7] :
( ~ elem(m_Ack(X7,X6),queue(host(X7)))
| setIn(X7,pids) )
& setIn(X1,alive)
& ? [X3] :
( host(X1) != host(X3)
& ? [X4,X5] :
( host(X2) = host(X5)
& host(X1) != host(X5)
& host(X4) = index(pendack,host(X5))
& elec_2 = index(status,host(X5))
& elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(X2,X1)))
& leq(nbr_proc,index(pendack,host(X5)))
& setIn(X5,alive)
& norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive) ) ) ),
inference(rectify,[],[f71]) ).
fof(f84,plain,
( queue(host(sK1)) = cons(m_Halt(sK2),sK0)
& ! [X37,X38,X39] :
( index(pendack,host(X39)) != host(X38)
| elec_2 != index(status,host(X39))
| ~ leq(nbr_proc,index(pendack,host(X39)))
| ~ elem(m_Ack(X39,X38),queue(host(X39)))
| ~ setIn(X39,alive)
| norm != index(status,host(X37))
| host(X37) != index(ldr,host(X37))
| ~ setIn(X37,alive) )
& ! [X34,X35,X36] :
( elec_2 != index(status,host(X36))
| ~ elem(m_Halt(X36),queue(host(X35)))
| ~ setIn(X36,alive)
| leq(index(pendack,host(X36)),host(X34))
| norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive) )
& ! [X32,X33] :
( elec_2 != index(status,host(X33))
| elec_2 != index(status,host(X32))
| ~ setIn(X33,alive)
| ~ setIn(X32,alive)
| leq(host(X32),host(X33))
| ~ leq(index(pendack,host(X32)),index(pendack,host(X33))) )
& ! [X29,X30,X31] :
( host(X29) != host(X30)
| ~ elem(m_Ack(X31,X29),queue(host(X31)))
| ~ setIn(X31,alive)
| ~ setIn(X30,alive)
| ~ setIn(host(X31),index(down,host(X30))) )
& ! [X26,X27,X28] :
( host(X28) != host(X26)
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ elem(m_Down(X26),queue(host(X27)))
| ~ setIn(X28,alive) )
& ! [X25] :
( ~ setIn(X25,alive)
| ( elec_2 != index(status,host(X25))
& elec_1 != index(status,host(X25)) )
| index(elid,host(X25)) = X25 )
& ! [X23,X24] :
( elec_1 != index(status,host(X24))
| ~ setIn(X24,alive)
| ~ elem(m_Ack(X24,X23),queue(host(X24))) )
& ! [X21,X22] :
( elec_1 != index(status,host(X22))
| ~ setIn(X22,alive)
| ~ elem(m_Ack(X21,X22),queue(host(X21))) )
& ! [X19,X20] :
( ~ elem(m_Ack(X20,X19),queue(host(X20)))
| ~ setIn(X20,alive)
| leq(host(X19),index(pendack,host(X20))) )
& ! [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_Ldr(X11),queue(host(X10)))
| ~ leq(host(X10),host(X11)) )
& ! [X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X9,alive) )
& ! [X6,X7] :
( ~ elem(m_Ack(X7,X6),queue(host(X7)))
| setIn(X7,pids) )
& setIn(sK1,alive)
& host(sK3) != host(sK1)
& host(sK5) = host(sK2)
& host(sK5) != host(sK1)
& index(pendack,host(sK5)) = host(sK4)
& elec_2 = index(status,host(sK5))
& elem(m_Ack(sK5,sK4),snoc(queue(host(sK5)),m_Ack(sK2,sK1)))
& leq(nbr_proc,index(pendack,host(sK5)))
& setIn(sK5,alive)
& norm = index(status,host(sK3))
& host(sK3) = index(ldr,host(sK3))
& setIn(sK3,alive) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f83]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 )
& ( ( ~ elem(X0,X2)
& X0 != X1 )
| elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 )
& ( ( ~ elem(X0,X2)
& X0 != X1 )
| elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f85]) ).
fof(f87,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(f88,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,[],[f87]) ).
fof(f89,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ( leq(X1,X0)
& leq(X0,X1) ) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f90,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ( leq(X1,X0)
& leq(X0,X1) ) ) ),
inference(flattening,[],[f89]) ).
fof(f99,plain,
queue(host(sK1)) = cons(m_Halt(sK2),sK0),
inference(cnf_transformation,[],[f84]) ).
fof(f100,plain,
! [X38,X39,X37] :
( index(pendack,host(X39)) != host(X38)
| elec_2 != index(status,host(X39))
| ~ leq(nbr_proc,index(pendack,host(X39)))
| ~ elem(m_Ack(X39,X38),queue(host(X39)))
| ~ setIn(X39,alive)
| norm != index(status,host(X37))
| host(X37) != index(ldr,host(X37))
| ~ setIn(X37,alive) ),
inference(cnf_transformation,[],[f84]) ).
fof(f101,plain,
! [X36,X34,X35] :
( elec_2 != index(status,host(X36))
| ~ elem(m_Halt(X36),queue(host(X35)))
| ~ setIn(X36,alive)
| leq(index(pendack,host(X36)),host(X34))
| norm != index(status,host(X34))
| host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive) ),
inference(cnf_transformation,[],[f84]) ).
fof(f117,plain,
host(sK3) != host(sK1),
inference(cnf_transformation,[],[f84]) ).
fof(f120,plain,
index(pendack,host(sK5)) = host(sK4),
inference(cnf_transformation,[],[f84]) ).
fof(f121,plain,
elec_2 = index(status,host(sK5)),
inference(cnf_transformation,[],[f84]) ).
fof(f122,plain,
elem(m_Ack(sK5,sK4),snoc(queue(host(sK5)),m_Ack(sK2,sK1))),
inference(cnf_transformation,[],[f84]) ).
fof(f123,plain,
leq(nbr_proc,index(pendack,host(sK5))),
inference(cnf_transformation,[],[f84]) ).
fof(f124,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f84]) ).
fof(f125,plain,
norm = index(status,host(sK3)),
inference(cnf_transformation,[],[f84]) ).
fof(f126,plain,
host(sK3) = index(ldr,host(sK3)),
inference(cnf_transformation,[],[f84]) ).
fof(f127,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f84]) ).
fof(f129,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(cnf_transformation,[],[f73]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(cnf_transformation,[],[f74]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f86]) ).
fof(f140,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f147,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f90]) ).
fof(f152,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f140]) ).
tcf(c_49,negated_conjecture,
setIn(sK3,alive),
inference(cnf_transformation,[],[f127]) ).
tcf(c_50,negated_conjecture,
index(ldr,host(sK3)) = host(sK3),
inference(cnf_transformation,[],[f126]) ).
tcf(c_51,negated_conjecture,
index(status,host(sK3)) = norm,
inference(cnf_transformation,[],[f125]) ).
tcf(c_52,negated_conjecture,
setIn(sK5,alive),
inference(cnf_transformation,[],[f124]) ).
tcf(c_53,negated_conjecture,
leq(nbr_proc,index(pendack,host(sK5))),
inference(cnf_transformation,[],[f123]) ).
tcf(c_54,negated_conjecture,
elem(m_Ack(sK5,sK4),snoc(queue(host(sK5)),m_Ack(sK2,sK1))),
inference(cnf_transformation,[],[f122]) ).
tcf(c_55,negated_conjecture,
index(status,host(sK5)) = elec_2,
inference(cnf_transformation,[],[f121]) ).
tcf(c_56,negated_conjecture,
index(pendack,host(sK5)) = host(sK4),
inference(cnf_transformation,[],[f120]) ).
tcf(c_59,negated_conjecture,
host(sK3) != host(sK1),
inference(cnf_transformation,[],[f117]) ).
tcf(c_75,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( leq(index(pendack,host(X1)),host(X0))
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X1),queue(host(X2)))
| ( index(status,host(X1)) != elec_2 )
| ( index(status,host(X0)) != norm )
| ( index(ldr,host(X0)) != host(X0) ) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_76,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ leq(nbr_proc,index(pendack,host(X0)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( index(pendack,host(X0)) != host(X1) )
| ( index(status,host(X2)) != norm )
| ( index(status,host(X0)) != elec_2 )
| ( index(ldr,host(X2)) != host(X2) ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_77,negated_conjecture,
cons(m_Halt(sK2),sK0) = queue(host(sK1)),
inference(cnf_transformation,[],[f99]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( m_Ack(X0,X1) != m_Ack(X2,X3) ) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( m_Ack(X0,X1) != m_Ack(X2,X3) ) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( elem(X0,X1)
| ( X0 = X2 )
| ~ elem(X0,snoc(X1,X2)) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] : elem(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f198]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_101,plain,
! [X0: $i] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f152]) ).
tcf(c_730,plain,
leq(nbr_proc,host(sK4)),
inference(demodulation,[status(thm)],[c_53,c_56]) ).
tcf(c_1722,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ( index(status,host(X0)) != elec_2 )
| ( index(pendack,host(X0)) != host(X1) )
| ~ setIn(X0,alive)
| ~ leq(nbr_proc,index(pendack,host(X0)))
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_76]) ).
tcf(c_1723,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( index(ldr,host(X0)) != host(X0) )
| ( index(status,host(X0)) != norm )
| ~ setIn(X0,alive) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_76]) ).
tcf(c_1724,negated_conjecture,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_76]) ).
tcf(c_3046,plain,
elem(m_Halt(sK2),queue(host(sK1))),
inference(superposition,[status(thm)],[c_77,c_88]) ).
tcf(c_3191,plain,
( ~ iPr_def_11
| ~ setIn(sK3,alive)
| ( index(status,host(sK3)) != norm ) ),
inference(superposition,[status(thm)],[c_50,c_1723]) ).
tcf(c_3193,plain,
( ~ iPr_def_11
| ~ setIn(sK3,alive) ),
inference(ground_joinability,[status(thm)],[c_3191,c_51]) ).
tcf(c_3194,plain,
~ iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_3193,c_49]) ).
tcf(c_3195,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_1724,c_3194]) ).
tcf(c_3249,plain,
! [X0: $i,X1: $i] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ leq(nbr_proc,index(pendack,host(X0)))
| ~ setIn(X0,alive)
| ( index(pendack,host(X0)) != host(X1) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(global_subsumption_just,[status(thm)],[c_1722,c_1722,c_3195]) ).
tcf(c_3250,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ setIn(X0,alive)
| ~ leq(nbr_proc,index(pendack,host(X0)))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ( index(pendack,host(X0)) != host(X1) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(renaming,[status(thm)],[c_3249]) ).
tcf(c_3262,plain,
! [X0: $i] :
( ~ setIn(sK5,alive)
| ~ leq(nbr_proc,index(pendack,host(sK5)))
| ~ elem(m_Ack(sK5,X0),queue(host(sK5)))
| ( host(X0) != host(sK4) )
| ( index(status,host(sK5)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_56,c_3250]) ).
tcf(c_3264,plain,
! [X0: $i] :
( ~ setIn(sK5,alive)
| ~ leq(nbr_proc,index(pendack,host(sK5)))
| ~ elem(m_Ack(sK5,X0),queue(host(sK5)))
| ( host(X0) != host(sK4) ) ),
inference(ground_joinability,[status(thm)],[c_3262,c_55]) ).
tcf(c_3265,plain,
! [X0: $i] :
( ~ setIn(sK5,alive)
| ~ leq(nbr_proc,host(sK4))
| ~ elem(m_Ack(sK5,X0),queue(host(sK5)))
| ( host(X0) != host(sK4) ) ),
inference(light_normalisation,[status(thm)],[c_3264,c_56]) ).
tcf(c_3266,plain,
! [X0: $i] :
( ~ elem(m_Ack(sK5,X0),queue(host(sK5)))
| ( host(X0) != host(sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3265,c_52,c_730]) ).
tcf(c_3321,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(X0)),host(sK3))
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1)))
| ( index(status,host(sK3)) != norm )
| ( index(status,host(X0)) != elec_2 ) ),
inference(superposition,[status(thm)],[c_50,c_75]) ).
tcf(c_3323,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(X0)),host(sK3))
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1)))
| ( index(status,host(X0)) != elec_2 ) ),
inference(ground_joinability,[status(thm)],[c_3321,c_51]) ).
tcf(c_3324,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(X0)),host(sK3))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1)))
| ( index(status,host(X0)) != elec_2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3323,c_49]) ).
tcf(c_3358,plain,
~ elem(m_Ack(sK5,sK4),queue(host(sK5))),
inference(equality_resolution,[status(thm)],[c_3266]) ).
tcf(c_3496,plain,
! [X0: $i] :
( leq(index(pendack,host(sK5)),host(sK3))
| ~ setIn(sK5,alive)
| ~ elem(m_Halt(sK5),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_55,c_3324]) ).
tcf(c_3498,plain,
! [X0: $i] :
( leq(host(sK4),host(sK3))
| ~ setIn(sK5,alive)
| ~ elem(m_Halt(sK5),queue(host(X0))) ),
inference(light_normalisation,[status(thm)],[c_3496,c_56]) ).
tcf(c_3499,plain,
! [X0: $i] :
( leq(host(sK4),host(sK3))
| ~ elem(m_Halt(sK5),queue(host(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3498,c_52]) ).
tcf(c_3991,plain,
( ( host(sK4) = nbr_proc )
| ~ leq(host(sK4),nbr_proc) ),
inference(superposition,[status(thm)],[c_730,c_98]) ).
tcf(c_4008,plain,
host(sK4) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_3991,c_101]) ).
tcf(c_4035,plain,
! [X0: $i] :
( leq(nbr_proc,host(sK3))
| ~ elem(m_Halt(sK5),queue(host(X0))) ),
inference(demodulation,[status(thm)],[c_3499,c_4008]) ).
tcf(c_4400,plain,
( elem(m_Ack(sK5,sK4),queue(host(sK5)))
| ( m_Ack(sK5,sK4) = m_Ack(sK2,sK1) ) ),
inference(superposition,[status(thm)],[c_54,c_87]) ).
tcf(c_4403,plain,
m_Ack(sK5,sK4) = m_Ack(sK2,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_4400,c_3358]) ).
tcf(c_4513,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK2 )
| ( m_Ack(X0,X1) != m_Ack(sK5,sK4) ) ),
inference(superposition,[status(thm)],[c_4403,c_80]) ).
tcf(c_4599,plain,
sK5 = sK2,
inference(equality_resolution,[status(thm)],[c_4513]) ).
tcf(c_4601,plain,
m_Ack(sK5,sK4) = m_Ack(sK5,sK1),
inference(demodulation,[status(thm)],[c_4403,c_4599]) ).
tcf(c_4625,plain,
elem(m_Halt(sK5),queue(host(sK1))),
inference(demodulation,[status(thm)],[c_3046,c_4599]) ).
tcf(c_5011,plain,
leq(nbr_proc,host(sK3)),
inference(superposition,[status(thm)],[c_4625,c_4035]) ).
tcf(c_5143,plain,
( ( host(sK3) = nbr_proc )
| ~ leq(host(sK3),nbr_proc) ),
inference(superposition,[status(thm)],[c_5011,c_98]) ).
tcf(c_5148,plain,
host(sK3) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_5143,c_101]) ).
tcf(c_5152,plain,
host(sK1) != nbr_proc,
inference(demodulation,[status(thm)],[c_59,c_5148]) ).
tcf(c_5376,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK4 )
| ( m_Ack(X0,X1) != m_Ack(sK5,sK1) ) ),
inference(superposition,[status(thm)],[c_4601,c_79]) ).
tcf(c_5803,plain,
sK4 = sK1,
inference(equality_resolution,[status(thm)],[c_5376]) ).
tcf(c_5824,plain,
host(sK1) = nbr_proc,
inference(demodulation,[status(thm)],[c_4008,c_5803]) ).
tcf(c_5825,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5824,c_5152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV457+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.39 % Computer : n012.cluster.edu
% 0.04/0.39 % Model : x86_64 x86_64
% 0.04/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.39 % Memory : 8046.5625MB
% 0.04/0.39 % OS : Linux 6.8.0-71-generic
% 0.04/0.39 % CPULimit : 300
% 0.04/0.39 % WCLimit : 300
% 0.04/0.39 % DateTime : Thu Sep 24 19:48:54 UTC 2026
% 0.04/0.39 % CPUTime :
% 0.04/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.41 Running first-order theorem proving
% 0.04/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.42
% 0.04/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.04/0.42
% 0.04/0.42 % Detected problem language: tptp
% 0.04/0.42 % Proving...
% 3.47/1.06 % SZS status Started for theBenchmark.p
% 3.47/1.06 % SZS status Theorem for theBenchmark.p
% 3.47/1.06
% 3.47/1.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.47/1.06
% 3.47/1.06 % ------ iProver source info
% 3.47/1.06
% 3.47/1.06 % git: date: 2026-07-19 20:42:38 +0200
% 3.47/1.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.47/1.06 % git: non_committed_changes: false
% 3.47/1.06
% 3.47/1.06 % ------ Parsing...
% 3.47/1.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.47/1.06
% 3.47/1.06 % ------ Preprocessing... sup_sim: 3 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 %
% 3.47/1.06
% 3.47/1.06 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.47/1.06
% 3.47/1.06 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.47/1.06 % ------ Proving...
% 3.47/1.06 % ------ Problem Properties
% 3.47/1.06
% 3.47/1.06 %
% 3.47/1.06 % clauses 89
% 3.47/1.06 % conjectures 30
% 3.47/1.06 % EPR 16
% 3.47/1.06 % Horn 84
% 3.47/1.06 % unary 48
% 3.47/1.06 % binary 22
% 3.47/1.06 % lits 166
% 3.47/1.06 % lits eq 74
% 3.47/1.06 % fd_pure 0
% 3.47/1.06 % fd_pseudo 0
% 3.47/1.06 % fd_cond 0
% 3.47/1.06 % fd_pseudo_cond 12
% 3.47/1.06 % AC symbols 0
% 3.47/1.06
% 3.47/1.06 % ------ Schedule dynamic 5 is on
% 3.47/1.06
% 3.47/1.06 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.47/1.06
% 3.47/1.06
% 3.47/1.06 % ------
% 3.47/1.06 % Current options:
% 3.47/1.06 % ------
% 3.47/1.06
% 3.47/1.06
% 3.47/1.06 %
% 3.47/1.06
% 3.47/1.06 % ------ Proving...
% 3.47/1.06 %
% 3.47/1.06
% 3.47/1.06 % SZS status Theorem for theBenchmark.p
% 3.47/1.06
% 3.47/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.47/1.07
% 3.47/1.07
%------------------------------------------------------------------------------