%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV469+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 : Sun Sep 27 09:02:28 AM UTC 2026
% Result : Theorem 32.70s 5.45s
% Output : CNFRefutation 32.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of formulae : 70 ( 17 unt; 0 def)
% Number of atoms : 472 ( 204 equ)
% Maximal formula atoms : 108 ( 6 avg)
% Number of connectives : 617 ( 215 ~; 194 |; 151 &)
% ( 3 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 16 con; 0-2 aty)
% Number of variables : 164 ( 4 sgn 102 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_46,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ) ).
fof(axiom_59,axiom,
! [X0] : leq(X0,X0) ).
fof(axiom_60,axiom,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ) ).
fof(axiom_61,axiom,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ) ).
fof(axiom_64,axiom,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| X0 = s(X1) ) ) ).
fof(conj,conjecture,
! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons('m$uDown'(X3),X0)
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = 'elec$u1'
& elem('m$uDown'(X6),queue(host(X5)))
& ~ leq(host(X5),host(X4))
& ! [X7] :
( ( leq(s(zero),X7)
& ~ leq(host(X5),X7) )
=> ( X7 = host(X6)
| setIn(X7,index(down,host(X5))) ) ) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& host(X6) = host(X4)
& elem('m$uDown'(X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& index(status,host(X4)) = 'elec$u2'
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& host(X6) = host(X5)
& setIn(X5,alive) )
=> ~ ( elem('m$uDown'(X6),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& host(X5) = host(X6)
& elem('m$uDown'(X6),queue(host(X4)))
& setIn(X5,alive)
& setIn(X4,alive) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& index(status,host(X4)) = 'elec$u2'
& host(X5) = host(X6)
& setIn(X5,alive)
& setIn(X4,alive) )
=> ~ elem('m$uAck'(X4,X6),queue(host(X4))) )
& ! [X4,X6,X5] :
( ( host(X6) = host(X4)
& elem('m$uAck'(X5,X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& index(status,host(X4)) = 'elec$u2'
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& host(X5) = host(X6)
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X5),host(X4)) )
=> ~ elem('m$uDown'(X6),queue(host(X4))) )
& ! [X4,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& setIn(X5,alive) )
=> ~ ( setIn(host(X5),index(down,host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& setIn(host(X5),index(down,host(X4)))
& setIn(X5,alive)
& setIn(X4,alive) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4] :
( ( setIn(X4,alive)
& ( index(status,host(X4)) = 'elec$u2'
| index(status,host(X4)) = 'elec$u1' ) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& setIn(X5,alive) )
=> ~ elem('m$uAck'(X4,X5),queue(host(X4))) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X5] :
( elem('m$uLdr'(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
=> ( ( index(status,host(X2)) = 'elec$u1'
& ! [X4] :
( ( leq(s(zero),X4)
& ~ leq(host(X2),X4) )
=> ( X4 = host(X3)
| setIn(X4,index(down,host(X2))) ) ) )
=> ( ~ leq('nbr$uproc',host(X2))
=> ! [X4] :
( host(X2) != host(X4)
=> ! [X8] :
( host(X2) = host(X8)
=> ( ( setIn(X8,alive)
& ~ leq(s(host(X2)),host(X4)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) ) ) ) ) ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons('m$uDown'(X3),X0)
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = 'elec$u1'
& elem('m$uDown'(X6),queue(host(X5)))
& ~ leq(host(X5),host(X4))
& ! [X7] :
( ( leq(s(zero),X7)
& ~ leq(host(X5),X7) )
=> ( X7 = host(X6)
| setIn(X7,index(down,host(X5))) ) ) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& host(X6) = host(X4)
& elem('m$uDown'(X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& index(status,host(X4)) = 'elec$u2'
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& host(X6) = host(X5)
& setIn(X5,alive) )
=> ~ ( elem('m$uDown'(X6),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& host(X5) = host(X6)
& elem('m$uDown'(X6),queue(host(X4)))
& setIn(X5,alive)
& setIn(X4,alive) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& index(status,host(X4)) = 'elec$u2'
& host(X5) = host(X6)
& setIn(X5,alive)
& setIn(X4,alive) )
=> ~ elem('m$uAck'(X4,X6),queue(host(X4))) )
& ! [X4,X6,X5] :
( ( host(X6) = host(X4)
& elem('m$uAck'(X5,X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& index(status,host(X4)) = 'elec$u2'
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& host(X5) = host(X6)
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X5),host(X4)) )
=> ~ elem('m$uDown'(X6),queue(host(X4))) )
& ! [X4,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& setIn(X5,alive) )
=> ~ ( setIn(host(X5),index(down,host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& setIn(host(X5),index(down,host(X4)))
& setIn(X5,alive)
& setIn(X4,alive) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4] :
( ( setIn(X4,alive)
& ( index(status,host(X4)) = 'elec$u2'
| index(status,host(X4)) = 'elec$u1' ) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( index(status,host(X5)) = 'elec$u2'
& setIn(X5,alive) )
=> ~ elem('m$uAck'(X4,X5),queue(host(X4))) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X5] :
( elem('m$uLdr'(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( 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) ) )
=> ( ( index(status,host(X2)) = 'elec$u1'
& ! [X4] :
( ( leq(s(zero),X4)
& ~ leq(host(X2),X4) )
=> ( X4 = host(X3)
| setIn(X4,index(down,host(X2))) ) ) )
=> ( ~ leq('nbr$uproc',host(X2))
=> ! [X4] :
( host(X2) != host(X4)
=> ! [X8] :
( host(X2) = host(X8)
=> ( ( setIn(X8,alive)
& ~ leq(s(host(X2)),host(X4)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) ) ) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[conj]) ).
cnf(c53,plain,
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(clausification,[status(esa)],[axiom_46]) ).
cnf(c88,plain,
leq(X0,X0),
inference(clausification,[status(esa)],[axiom_59]) ).
cnf(c89,plain,
( leq(X1,X0)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[axiom_60]) ).
cnf(c90,plain,
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[axiom_61]) ).
cnf(c96,plain,
( leq(X0,X1)
| X0 = s(X1)
| ~ leq(X0,s(X1)) ),
inference(clausification,[status(esa)],[axiom_64]) ).
cnf(c116,plain,
( ~ elem('m$uDown'(X2),queue(host(X0)))
| ~ setIn(X1,alive)
| ~ leq(host(X0),sK166(X2,X0))
| index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| index(status,host(X0)) != 'elec$u1'
| leq(host(X0),host(X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c117,plain,
( ~ elem('m$uDown'(X2),queue(host(X0)))
| ~ setIn(X1,alive)
| index(ldr,host(X1)) != host(X1)
| leq(s(zero),sK166(X2,X0))
| index(status,host(X1)) != norm
| index(status,host(X0)) != 'elec$u1'
| leq(host(X0),host(X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c118,plain,
( ~ elem('m$uDown'(X2),queue(host(X0)))
| ~ setIn(X1,alive)
| index(ldr,host(X1)) != host(X1)
| ~ setIn(sK166(X2,X0),index(down,host(X0)))
| index(status,host(X1)) != norm
| index(status,host(X0)) != 'elec$u1'
| leq(host(X0),host(X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c119,plain,
( ~ elem('m$uDown'(X2),queue(host(X0)))
| ~ setIn(X1,alive)
| index(ldr,host(X1)) != host(X1)
| sK166(X2,X0) != host(X2)
| index(status,host(X1)) != norm
| index(status,host(X0)) != 'elec$u1'
| leq(host(X0),host(X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c120,plain,
queue(host(sK126)) = cons('m$uDown'(sK127),sK124),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c125,plain,
( X0 = host(sK127)
| setIn(X0,index(down,host(sK126)))
| ~ leq(s(zero),X0)
| leq(host(sK126),X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c126,plain,
index(status,host(sK126)) = 'elec$u1',
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c128,plain,
host(sK126) != host(sK168),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c130,plain,
~ leq(s(host(sK126)),host(sK168)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c132,plain,
setIn(sK168,alive),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c133,plain,
index(ldr,host(sK168)) = host(sK168),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c134,plain,
index(status,host(sK168)) = norm,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(host(sK168),s(host(sK126))),
inference(resolution,[status(thm)],[c89,c130]) ).
cnf(d1,plain,
( leq(host(sK168),host(sK126))
| host(sK168) = s(host(sK126)) ),
inference(resolution,[status(thm)],[c96,d0]) ).
cnf(d2,plain,
( leq(host(X0),host(sK168))
| ~ setIn(sK168,alive)
| ~ elem('m$uDown'(X1),queue(host(X0)))
| sK166(X1,X0) != host(X1)
| index(status,host(sK168)) != norm
| index(status,host(X0)) != 'elec$u1'
| host(sK168) != host(sK168) ),
inference(superposition,[status(thm)],[c133,c119]) ).
cnf(d3,plain,
( leq(host(X0),host(sK168))
| ~ setIn(sK168,alive)
| ~ elem('m$uDown'(X1),queue(host(X0)))
| sK166(X1,X0) != host(X1)
| norm != norm
| index(status,host(X0)) != 'elec$u1'
| host(sK168) != host(sK168) ),
inference(demodulation,[status(thm)],[d2,c134]) ).
cnf(d4,plain,
( leq(host(X0),host(sK168))
| ~ elem('m$uDown'(X1),queue(host(X0)))
| sK166(X1,X0) != host(X1)
| norm != norm
| index(status,host(X0)) != 'elec$u1'
| host(sK168) != host(sK168) ),
inference(resolution,[status(thm)],[c132,d3]) ).
cnf(d5,plain,
( ~ leq(host(X0),sK166(X1,X0))
| leq(host(X0),host(sK168))
| ~ setIn(sK168,alive)
| ~ elem('m$uDown'(X1),queue(host(X0)))
| index(status,host(sK168)) != norm
| index(status,host(X0)) != 'elec$u1'
| host(sK168) != host(sK168) ),
inference(superposition,[status(thm)],[c133,c116]) ).
cnf(d6,plain,
( ~ leq(host(X0),sK166(X1,X0))
| leq(host(X0),host(sK168))
| ~ setIn(sK168,alive)
| ~ elem('m$uDown'(X1),queue(host(X0)))
| norm != norm
| index(status,host(X0)) != 'elec$u1'
| host(sK168) != host(sK168) ),
inference(demodulation,[status(thm)],[d5,c134]) ).
cnf(d7,plain,
( ~ leq(host(X0),sK166(X1,X0))
| leq(host(X0),host(sK168))
| ~ elem('m$uDown'(X1),queue(host(X0)))
| norm != norm
| index(status,host(X0)) != 'elec$u1'
| host(sK168) != host(sK168) ),
inference(resolution,[status(thm)],[c132,d6]) ).
cnf(d8,plain,
( ~ leq(host(sK126),sK166(X0,sK126))
| leq(host(sK126),host(sK168))
| ~ elem('m$uDown'(X0),queue(host(sK126)))
| norm != norm
| host(sK168) != host(sK168)
| 'elec$u1' != 'elec$u1' ),
inference(superposition,[status(thm)],[c126,d7]) ).
cnf(d9,plain,
( ~ leq(host(sK126),sK166(X0,sK126))
| leq(host(sK126),host(sK168))
| ~ elem('m$uDown'(X0),queue(host(sK126)))
| norm != norm
| 'elec$u1' != 'elec$u1' ),
inference(equality_resolution,[status(thm)],[d8]) ).
cnf(d10,plain,
( ~ leq(host(sK126),sK166(X0,sK126))
| leq(host(sK126),host(sK168))
| ~ elem('m$uDown'(X0),queue(host(sK126)))
| 'elec$u1' != 'elec$u1' ),
inference(equality_resolution,[status(thm)],[d9]) ).
cnf(d11,plain,
( ~ leq(host(sK126),sK166(X0,sK126))
| leq(host(sK126),host(sK168))
| ~ elem('m$uDown'(X0),queue(host(sK126))) ),
inference(equality_resolution,[status(thm)],[d10]) ).
cnf(d12,plain,
( leq(host(X0),host(sK168))
| ~ setIn(sK166(X1,X0),index(down,host(X0)))
| ~ setIn(sK168,alive)
| ~ elem('m$uDown'(X1),queue(host(X0)))
| index(status,host(sK168)) != norm
| index(status,host(X0)) != 'elec$u1'
| host(sK168) != host(sK168) ),
inference(superposition,[status(thm)],[c133,c118]) ).
cnf(d13,plain,
( leq(host(X0),host(sK168))
| ~ setIn(sK168,alive)
| ~ setIn(sK166(X1,X0),index(down,host(X0)))
| ~ elem('m$uDown'(X1),queue(host(X0)))
| norm != norm
| index(status,host(X0)) != 'elec$u1'
| host(sK168) != host(sK168) ),
inference(demodulation,[status(thm)],[d12,c134]) ).
cnf(d14,plain,
( leq(host(X0),host(sK168))
| ~ setIn(sK166(X1,X0),index(down,host(X0)))
| ~ elem('m$uDown'(X1),queue(host(X0)))
| norm != norm
| index(status,host(X0)) != 'elec$u1'
| host(sK168) != host(sK168) ),
inference(resolution,[status(thm)],[c132,d13]) ).
cnf(d15,plain,
( leq(host(sK126),host(sK168))
| ~ setIn(sK166(X0,sK126),index(down,host(sK126)))
| ~ elem('m$uDown'(X0),queue(host(sK126)))
| norm != norm
| host(sK168) != host(sK168)
| 'elec$u1' != 'elec$u1' ),
inference(superposition,[status(thm)],[c126,d14]) ).
cnf(d16,plain,
( leq(host(sK126),host(sK168))
| ~ setIn(sK166(X0,sK126),index(down,host(sK126)))
| ~ elem('m$uDown'(X0),queue(host(sK126)))
| norm != norm
| 'elec$u1' != 'elec$u1' ),
inference(equality_resolution,[status(thm)],[d15]) ).
cnf(d17,plain,
( leq(host(sK126),host(sK168))
| ~ setIn(sK166(X0,sK126),index(down,host(sK126)))
| ~ elem('m$uDown'(X0),queue(host(sK126)))
| 'elec$u1' != 'elec$u1' ),
inference(equality_resolution,[status(thm)],[d16]) ).
cnf(d18,plain,
( leq(host(sK126),host(sK168))
| ~ setIn(sK166(X0,sK126),index(down,host(sK126)))
| ~ elem('m$uDown'(X0),queue(host(sK126))) ),
inference(equality_resolution,[status(thm)],[d17]) ).
cnf(d19,plain,
( ~ leq(s(zero),sK166(X0,sK126))
| leq(host(sK126),sK166(X0,sK126))
| sK166(X0,sK126) = host(sK127)
| leq(host(sK126),host(sK168))
| ~ elem('m$uDown'(X0),queue(host(sK126))) ),
inference(resolution,[status(thm)],[d18,c125]) ).
cnf(d20,plain,
( leq(s(zero),sK166(X1,X0))
| leq(host(X0),host(sK168))
| ~ setIn(sK168,alive)
| ~ elem('m$uDown'(X1),queue(host(X0)))
| index(status,host(sK168)) != norm
| index(status,host(X0)) != 'elec$u1'
| host(sK168) != host(sK168) ),
inference(superposition,[status(thm)],[c133,c117]) ).
cnf(d21,plain,
( leq(s(zero),sK166(X1,X0))
| leq(host(X0),host(sK168))
| ~ setIn(sK168,alive)
| ~ elem('m$uDown'(X1),queue(host(X0)))
| norm != norm
| index(status,host(X0)) != 'elec$u1'
| host(sK168) != host(sK168) ),
inference(demodulation,[status(thm)],[d20,c134]) ).
cnf(d22,plain,
( leq(s(zero),sK166(X1,X0))
| leq(host(X0),host(sK168))
| ~ elem('m$uDown'(X1),queue(host(X0)))
| norm != norm
| index(status,host(X0)) != 'elec$u1'
| host(sK168) != host(sK168) ),
inference(resolution,[status(thm)],[c132,d21]) ).
cnf(d23,plain,
( leq(s(zero),sK166(X0,sK126))
| leq(host(sK126),host(sK168))
| ~ elem('m$uDown'(X0),queue(host(sK126)))
| norm != norm
| host(sK168) != host(sK168)
| 'elec$u1' != 'elec$u1' ),
inference(superposition,[status(thm)],[c126,d22]) ).
cnf(d24,plain,
( leq(s(zero),sK166(X0,sK126))
| leq(host(sK126),host(sK168))
| ~ elem('m$uDown'(X0),queue(host(sK126)))
| norm != norm
| 'elec$u1' != 'elec$u1' ),
inference(equality_resolution,[status(thm)],[d23]) ).
cnf(d25,plain,
( leq(s(zero),sK166(X0,sK126))
| leq(host(sK126),host(sK168))
| ~ elem('m$uDown'(X0),queue(host(sK126)))
| 'elec$u1' != 'elec$u1' ),
inference(equality_resolution,[status(thm)],[d24]) ).
cnf(d26,plain,
( leq(s(zero),sK166(X0,sK126))
| leq(host(sK126),host(sK168))
| ~ elem('m$uDown'(X0),queue(host(sK126))) ),
inference(equality_resolution,[status(thm)],[d25]) ).
cnf(d27,plain,
elem(X0,cons(X0,X1)),
inference(equality_resolution,[status(thm)],[c53]) ).
cnf(d28,plain,
elem('m$uDown'(sK127),queue(host(sK126))),
inference(superposition,[status(thm)],[c120,d27]) ).
cnf(d29,plain,
( leq(s(zero),sK166(sK127,sK126))
| leq(host(sK126),host(sK168)) ),
inference(resolution,[status(thm)],[d28,d26]) ).
cnf(d30,plain,
( leq(host(sK126),sK166(sK127,sK126))
| leq(host(sK126),host(sK168))
| ~ elem('m$uDown'(sK127),queue(host(sK126)))
| sK166(sK127,sK126) = host(sK127)
| leq(host(sK126),host(sK168)) ),
inference(resolution,[status(thm)],[d29,d19]) ).
cnf(d31,plain,
( leq(host(sK126),sK166(sK127,sK126))
| leq(host(sK126),host(sK168))
| sK166(sK127,sK126) = host(sK127) ),
inference(resolution,[status(thm)],[d28,d30]) ).
cnf(d32,plain,
( leq(host(sK126),host(sK168))
| ~ elem('m$uDown'(sK127),queue(host(sK126)))
| leq(host(sK126),host(sK168))
| sK166(sK127,sK126) = host(sK127) ),
inference(resolution,[status(thm)],[d31,d11]) ).
cnf(d33,plain,
( leq(host(sK126),host(sK168))
| sK166(sK127,sK126) = host(sK127) ),
inference(resolution,[status(thm)],[d28,d32]) ).
cnf(d34,plain,
( leq(host(sK126),host(sK168))
| leq(host(sK126),host(sK168))
| ~ elem('m$uDown'(sK127),queue(host(sK126)))
| index(status,host(sK126)) != 'elec$u1'
| norm != norm
| host(sK168) != host(sK168)
| host(sK127) != host(sK127) ),
inference(superposition,[status(thm)],[d33,d4]) ).
cnf(d35,plain,
( leq(host(sK126),host(sK168))
| ~ elem('m$uDown'(sK127),queue(host(sK126)))
| 'elec$u1' != 'elec$u1'
| norm != norm
| host(sK168) != host(sK168)
| host(sK127) != host(sK127) ),
inference(demodulation,[status(thm)],[d34,c126]) ).
cnf(d36,plain,
( leq(host(sK126),host(sK168))
| 'elec$u1' != 'elec$u1'
| norm != norm
| host(sK168) != host(sK168)
| host(sK127) != host(sK127) ),
inference(resolution,[status(thm)],[d28,d35]) ).
cnf(d37,plain,
( leq(host(sK126),host(sK168))
| norm != norm
| 'elec$u1' != 'elec$u1'
| host(sK127) != host(sK127) ),
inference(equality_resolution,[status(thm)],[d36]) ).
cnf(d38,plain,
( leq(host(sK126),host(sK168))
| norm != norm
| 'elec$u1' != 'elec$u1' ),
inference(equality_resolution,[status(thm)],[d37]) ).
cnf(d39,plain,
( leq(host(sK126),host(sK168))
| 'elec$u1' != 'elec$u1' ),
inference(equality_resolution,[status(thm)],[d38]) ).
cnf(d40,plain,
leq(host(sK126),host(sK168)),
inference(equality_resolution,[status(thm)],[d39]) ).
cnf(d41,plain,
( ~ leq(host(sK168),host(sK126))
| host(sK126) = host(sK168) ),
inference(resolution,[status(thm)],[c90,d40]) ).
cnf(d42,plain,
~ leq(host(sK168),host(sK126)),
inference(resolution,[status(thm)],[c128,d41]) ).
cnf(d43,plain,
host(sK168) = s(host(sK126)),
inference(resolution,[status(thm)],[d42,d1]) ).
cnf(d44,plain,
~ leq(host(sK168),host(sK168)),
inference(demodulation,[status(thm)],[c130,d43]) ).
cnf(d45,plain,
$false,
inference(resolution,[status(thm)],[c88,d44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV469+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 14:01:44 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.70/5.45 % SZS status Theorem for theBenchmark.p
% 32.70/5.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------