%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV188+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 : n004.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 09:01:36 AM UTC 2026
% Result : Theorem 19.10s 4.62s
% Output : CNFRefutation 19.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 13 unt; 0 def)
% Number of atoms : 101 ( 18 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 86 ( 16 ~; 13 |; 28 &)
% ( 2 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gt_0_tptp_minus_1,axiom,
gt(n0,'tptp$uminus$u1') ).
fof(finite_domain_0,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> X0 = n0 ) ).
fof(irreflexivity_gt,axiom,
! [X0] : ~ gt(X0,X0) ).
fof(transitivity_leq,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ).
fof(lt_gt,axiom,
! [X0,X1] :
( lt(X0,X1)
<=> gt(X1,X0) ) ).
fof(leq_gt1,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ) ).
fof(leq_gt_pred,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ) ).
fof(cl5_nebula_init_0116,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect2'('sigmaold$uinit',X6) = init ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$uselect2'('rhoold$uinit',X5) = init ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> 'a$uselect2'('muold$uinit',X4) = init ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> 'a$uselect3'('center$uinit',X3,n0) = 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 ) ) )
=> ! [X7] :
( ( leq(X7,'tptp$uminus$u1')
& leq(n0,X7) )
=> 'a$uselect2'('mu$uinit',X7) = init ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect2'('sigmaold$uinit',X6) = init ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$uselect2'('rhoold$uinit',X5) = init ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> 'a$uselect2'('muold$uinit',X4) = init ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> 'a$uselect3'('center$uinit',X3,n0) = 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 ) ) )
=> ! [X7] :
( ( leq(X7,'tptp$uminus$u1')
& leq(n0,X7) )
=> 'a$uselect2'('mu$uinit',X7) = init ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0116]) ).
cnf(c6,plain,
gt(n0,'tptp$uminus$u1'),
inference(clausification,[status(esa)],[gt_0_tptp_minus_1]) ).
cnf(c30,plain,
( X0 = n0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(clausification,[status(esa)],[finite_domain_0]) ).
cnf(c41,plain,
~ gt(X0,X0),
inference(clausification,[status(esa)],[irreflexivity_gt]) ).
cnf(c43,plain,
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_leq]) ).
cnf(c44,plain,
( gt(X1,X0)
| ~ lt(X0,X1) ),
inference(clausification,[status(esa)],[lt_gt]) ).
cnf(c45,plain,
( ~ gt(X1,X0)
| lt(X0,X1) ),
inference(clausification,[status(esa)],[lt_gt]) ).
cnf(c48,plain,
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[leq_gt1]) ).
cnf(c50,plain,
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c51,plain,
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c169,plain,
leq(n0,sK188),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c170,plain,
leq(sK188,'tptp$uminus$u1'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(sK188,n0)
| sK188 = n0 ),
inference(resolution,[status(thm)],[c30,c169]) ).
cnf(d1,plain,
( leq(sK188,X0)
| ~ leq('tptp$uminus$u1',X0) ),
inference(resolution,[status(thm)],[c43,c170]) ).
cnf(d2,plain,
( leq(sK188,pred(X0))
| ~ gt(X0,'tptp$uminus$u1') ),
inference(resolution,[status(thm)],[c51,d1]) ).
cnf(d3,plain,
( gt(X0,sK188)
| ~ gt(X0,'tptp$uminus$u1') ),
inference(resolution,[status(thm)],[d2,c50]) ).
cnf(d4,plain,
gt(n0,sK188),
inference(resolution,[status(thm)],[d3,c6]) ).
cnf(d5,plain,
leq(sK188,n0),
inference(resolution,[status(thm)],[d4,c48]) ).
cnf(d6,plain,
sK188 = n0,
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
lt(sK188,n0),
inference(resolution,[status(thm)],[d4,c45]) ).
cnf(d8,plain,
gt(n0,sK188),
inference(resolution,[status(thm)],[d7,c44]) ).
cnf(d9,plain,
gt(n0,n0),
inference(demodulation,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c41,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV188+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n004.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 13:18:36 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.10/4.62 % SZS status Theorem for theBenchmark.p
% 19.10/4.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------