%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV167+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 09:01:33 AM UTC 2026
% Result : Theorem 34.82s 8.76s
% Output : CNFRefutation 34.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 102 ( 33 equ)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 98 ( 16 ~; 9 |; 43 &)
% ( 1 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(leq_gt2,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ) ).
fof(leq_gt_pred,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ) ).
fof(cl5_nebula_init_0011,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> 'a$uselect2'('sigmaold$uinit',X8) = init ) )
& ( gt(loopcounter,n1)
=> ! [X7] :
( ( leq(X7,n4)
& leq(n0,X7) )
=> 'a$uselect2'('rhoold$uinit',X7) = init ) )
& ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect2'('muold$uinit',X6) = init ) )
& ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$uselect3'('center$uinit',X5,n0) = init )
& ! [X4] :
( ( leq(X4,pred(pv40))
& leq(n0,X4) )
=> 'a$uselect2'('sigma$uinit',X4) = init )
& ! [X3] :
( ( leq(X3,pred(pv40))
& leq(n0,X3) )
=> 'a$uselect2'('mu$uinit',X3) = init )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> 'a$uselect2'('rho$uinit',X2) = init )
& ! [X0] :
( ( leq(X0,n135299)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> 'a$uselect3'('q$uinit',X0,X1) = init ) )
& leq(pv40,n4)
& leq(n0,pv40)
& 'a$uselect2'('sigma$uinit',pv40) = init
& 'a$uselect2'('mu$uinit',pv40) = init )
=> ! [X9] :
( ( leq(X9,pv40)
& leq(n0,X9) )
=> 'a$uselect2'('mu$uinit',X9) = init ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> 'a$uselect2'('sigmaold$uinit',X8) = init ) )
& ( gt(loopcounter,n1)
=> ! [X7] :
( ( leq(X7,n4)
& leq(n0,X7) )
=> 'a$uselect2'('rhoold$uinit',X7) = init ) )
& ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect2'('muold$uinit',X6) = init ) )
& ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$uselect3'('center$uinit',X5,n0) = init )
& ! [X4] :
( ( leq(X4,pred(pv40))
& leq(n0,X4) )
=> 'a$uselect2'('sigma$uinit',X4) = init )
& ! [X3] :
( ( leq(X3,pred(pv40))
& leq(n0,X3) )
=> 'a$uselect2'('mu$uinit',X3) = init )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> 'a$uselect2'('rho$uinit',X2) = init )
& ! [X0] :
( ( leq(X0,n135299)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> 'a$uselect3'('q$uinit',X0,X1) = init ) )
& leq(pv40,n4)
& leq(n0,pv40)
& 'a$uselect2'('sigma$uinit',pv40) = init
& 'a$uselect2'('mu$uinit',pv40) = init )
=> ! [X9] :
( ( leq(X9,pv40)
& leq(n0,X9) )
=> 'a$uselect2'('mu$uinit',X9) = init ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0011]) ).
cnf(c49,plain,
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_gt2]) ).
cnf(c51,plain,
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c163,plain,
'a$uselect2'('mu$uinit',pv40) = init,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c169,plain,
( 'a$uselect2'('mu$uinit',X0) = init
| ~ leq(X0,pred(pv40))
| ~ leq(n0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c175,plain,
leq(n0,sK190),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c176,plain,
leq(sK190,pv40),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c177,plain,
'a$uselect2'('mu$uinit',sK190) != init,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( gt(pv40,sK190)
| sK190 = pv40 ),
inference(resolution,[status(thm)],[c49,c176]) ).
cnf(d1,plain,
( ~ leq(n0,sK190)
| ~ leq(sK190,pred(pv40))
| init != init ),
inference(superposition,[status(thm)],[c169,c177]) ).
cnf(d2,plain,
( ~ leq(sK190,pred(pv40))
| init != init ),
inference(resolution,[status(thm)],[c175,d1]) ).
cnf(d3,plain,
~ leq(sK190,pred(pv40)),
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
~ gt(pv40,sK190),
inference(resolution,[status(thm)],[c51,d3]) ).
cnf(d5,plain,
sK190 = pv40,
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
'a$uselect2'('mu$uinit',pv40) != init,
inference(demodulation,[status(thm)],[c177,d5]) ).
cnf(d7,plain,
init != init,
inference(demodulation,[status(thm)],[d6,c163]) ).
cnf(d8,plain,
$false,
inference(equality_resolution,[status(thm)],[d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV167+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n006.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 13:17:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.82/8.76 % SZS status Theorem for theBenchmark.p
% 34.82/8.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------