%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV197+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 : n005.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 09:01:37 AM UTC 2026
% Result : Theorem 12.11s 4.86s
% Output : CNFRefutation 12.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 133 ( 78 equ)
% Maximal formula atoms : 51 ( 5 avg)
% Number of connectives : 125 ( 15 ~; 6 |; 91 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(finite_domain_0,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> X0 = n0 ) ).
fof(irreflexivity_gt,axiom,
! [X0] : ~ gt(X0,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(quaternion_ds1_inuse_0008,conjecture,
( ( ! [X2,X3] :
( ( leq(X3,pred(pv5))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> 'a$uselect3'('z$udefuse',X2,X3) = use )
& ! [X0,X1] :
( ( leq(X1,pred(pv5))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> 'a$uselect3'('u$udefuse',X0,X1) = use )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& 'a$uselect2'('xinit$unoise$udefuse',n5) = use
& 'a$uselect2'('xinit$unoise$udefuse',n4) = use
& 'a$uselect2'('xinit$unoise$udefuse',n3) = use
& 'a$uselect2'('xinit$unoise$udefuse',n2) = use
& 'a$uselect2'('xinit$unoise$udefuse',n1) = use
& 'a$uselect2'('xinit$unoise$udefuse',n0) = use
& 'a$uselect2'('xinit$umean$udefuse',n5) = use
& 'a$uselect2'('xinit$umean$udefuse',n4) = use
& 'a$uselect2'('xinit$umean$udefuse',n3) = use
& 'a$uselect2'('xinit$umean$udefuse',n2) = use
& 'a$uselect2'('xinit$umean$udefuse',n1) = use
& 'a$uselect2'('xinit$umean$udefuse',n0) = use
& 'a$uselect2'('xinit$udefuse',n5) = use
& 'a$uselect2'('xinit$udefuse',n4) = use
& 'a$uselect2'('xinit$udefuse',n3) = use
& 'a$uselect3'('u$udefuse',n2,n0) = use
& 'a$uselect3'('u$udefuse',n1,n0) = use
& 'a$uselect3'('u$udefuse',n0,n0) = use
& 'a$uselect2'('sigma$udefuse',n5) = use
& 'a$uselect2'('sigma$udefuse',n4) = use
& 'a$uselect2'('sigma$udefuse',n3) = use
& 'a$uselect2'('sigma$udefuse',n2) = use
& 'a$uselect2'('sigma$udefuse',n1) = use
& 'a$uselect2'('sigma$udefuse',n0) = use
& 'a$uselect2'('rho$udefuse',n2) = use
& 'a$uselect2'('rho$udefuse',n1) = use
& 'a$uselect2'('rho$udefuse',n0) = use )
=> ! [X4,X5] :
( ( leq(X5,pred(pv5))
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( ~ ( pv5 = X5
& n2 = X4 )
& ~ ( pv5 = X5
& n1 = X4 )
& ~ ( pv5 = X5
& n0 = X4 ) )
=> 'a$uselect3'('z$udefuse',X4,X5) = use ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X2,X3] :
( ( leq(X3,pred(pv5))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> 'a$uselect3'('z$udefuse',X2,X3) = use )
& ! [X0,X1] :
( ( leq(X1,pred(pv5))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> 'a$uselect3'('u$udefuse',X0,X1) = use )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& 'a$uselect2'('xinit$unoise$udefuse',n5) = use
& 'a$uselect2'('xinit$unoise$udefuse',n4) = use
& 'a$uselect2'('xinit$unoise$udefuse',n3) = use
& 'a$uselect2'('xinit$unoise$udefuse',n2) = use
& 'a$uselect2'('xinit$unoise$udefuse',n1) = use
& 'a$uselect2'('xinit$unoise$udefuse',n0) = use
& 'a$uselect2'('xinit$umean$udefuse',n5) = use
& 'a$uselect2'('xinit$umean$udefuse',n4) = use
& 'a$uselect2'('xinit$umean$udefuse',n3) = use
& 'a$uselect2'('xinit$umean$udefuse',n2) = use
& 'a$uselect2'('xinit$umean$udefuse',n1) = use
& 'a$uselect2'('xinit$umean$udefuse',n0) = use
& 'a$uselect2'('xinit$udefuse',n5) = use
& 'a$uselect2'('xinit$udefuse',n4) = use
& 'a$uselect2'('xinit$udefuse',n3) = use
& 'a$uselect3'('u$udefuse',n2,n0) = use
& 'a$uselect3'('u$udefuse',n1,n0) = use
& 'a$uselect3'('u$udefuse',n0,n0) = use
& 'a$uselect2'('sigma$udefuse',n5) = use
& 'a$uselect2'('sigma$udefuse',n4) = use
& 'a$uselect2'('sigma$udefuse',n3) = use
& 'a$uselect2'('sigma$udefuse',n2) = use
& 'a$uselect2'('sigma$udefuse',n1) = use
& 'a$uselect2'('sigma$udefuse',n0) = use
& 'a$uselect2'('rho$udefuse',n2) = use
& 'a$uselect2'('rho$udefuse',n1) = use
& 'a$uselect2'('rho$udefuse',n0) = use )
=> ! [X4,X5] :
( ( leq(X5,pred(pv5))
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( ~ ( pv5 = X5
& n2 = X4 )
& ~ ( pv5 = X5
& n1 = X4 )
& ~ ( pv5 = X5
& n0 = X4 ) )
=> 'a$uselect3'('z$udefuse',X4,X5) = use ) ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_inuse_0008]) ).
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(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(c190,plain,
leq(n0,pv5),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c191,plain,
leq(pv5,n0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c196,plain,
leq(n0,sK186),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c198,plain,
leq(sK186,pred(pv5)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(sK186,n0)
| sK186 = n0 ),
inference(resolution,[status(thm)],[c30,c196]) ).
cnf(d1,plain,
( ~ leq(pv5,n0)
| pv5 = n0 ),
inference(resolution,[status(thm)],[c30,c190]) ).
cnf(d2,plain,
pv5 = n0,
inference(resolution,[status(thm)],[c191,d1]) ).
cnf(d3,plain,
leq(sK186,pred(n0)),
inference(demodulation,[status(thm)],[c198,d2]) ).
cnf(d4,plain,
gt(n0,sK186),
inference(resolution,[status(thm)],[c50,d3]) ).
cnf(d5,plain,
leq(sK186,n0),
inference(resolution,[status(thm)],[d4,c48]) ).
cnf(d6,plain,
sK186 = n0,
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
gt(n0,n0),
inference(demodulation,[status(thm)],[d4,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c41,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV197+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
% 0.07/0.35 % Computer : n005.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 13:19:02 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.11/4.86 % SZS status Theorem for theBenchmark.p
% 12.11/4.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------