%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV204+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 : n018.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 09:01:38 AM UTC 2026
% Result : Theorem 15.64s 2.47s
% Output : CNFRefutation 15.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 119 ( 91 equ)
% Maximal formula atoms : 40 ( 5 avg)
% Number of connectives : 109 ( 11 ~; 18 |; 71 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(finite_domain_2,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( X0 = n2
| X0 = n1
| X0 = n0 ) ) ).
fof(quaternion_ds1_inuse_0015,conjecture,
( ( ! [X2,X3] :
( ( leq(X3,n998)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> 'a$uselect3'('z$udefuse',X2,X3) = use )
& ! [X0,X1] :
( ( leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> 'a$uselect3'('u$udefuse',X0,X1) = use )
& '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] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> 'a$uselect2'('rho$udefuse',X4) = use ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X2,X3] :
( ( leq(X3,n998)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> 'a$uselect3'('z$udefuse',X2,X3) = use )
& ! [X0,X1] :
( ( leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> 'a$uselect3'('u$udefuse',X0,X1) = use )
& '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] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> 'a$uselect2'('rho$udefuse',X4) = use ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_inuse_0015]) ).
cnf(c32,plain,
( X0 = n1
| ~ leq(X0,n2)
| ~ leq(n0,X0)
| X0 = n0
| X0 = n2 ),
inference(clausification,[status(esa)],[finite_domain_2]) ).
cnf(c163,plain,
'a$uselect2'('rho$udefuse',n0) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c164,plain,
'a$uselect2'('rho$udefuse',n1) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c165,plain,
'a$uselect2'('rho$udefuse',n2) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c192,plain,
leq(n0,sK185),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c193,plain,
leq(sK185,n2),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c194,plain,
'a$uselect2'('rho$udefuse',sK185) != use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(sK185,n2)
| sK185 = n2
| sK185 = n1
| sK185 = n0 ),
inference(resolution,[status(thm)],[c32,c192]) ).
cnf(d1,plain,
( sK185 = n2
| sK185 = n1
| sK185 = n0 ),
inference(resolution,[status(thm)],[c193,d0]) ).
cnf(d2,plain,
( sK185 = n2
| sK185 = n0
| 'a$uselect2'('rho$udefuse',n1) != use ),
inference(superposition,[status(thm)],[d1,c194]) ).
cnf(d3,plain,
( sK185 = n2
| sK185 = n0
| use != use ),
inference(demodulation,[status(thm)],[d2,c164]) ).
cnf(d4,plain,
( sK185 = n2
| sK185 = n0 ),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
( sK185 = n0
| 'a$uselect2'('rho$udefuse',n2) != use ),
inference(superposition,[status(thm)],[d4,c194]) ).
cnf(d6,plain,
( sK185 = n0
| use != use ),
inference(demodulation,[status(thm)],[d5,c165]) ).
cnf(d7,plain,
sK185 = n0,
inference(equality_resolution,[status(thm)],[d6]) ).
cnf(d8,plain,
'a$uselect2'('rho$udefuse',n0) != use,
inference(demodulation,[status(thm)],[c194,d7]) ).
cnf(d9,plain,
use != use,
inference(demodulation,[status(thm)],[d8,c163]) ).
cnf(d10,plain,
$false,
inference(equality_resolution,[status(thm)],[d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV204+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n018.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 13:21:51 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.64/2.47 % SZS status Theorem for theBenchmark.p
% 15.64/2.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------