%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV205+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 09:01:38 AM UTC 2026
% Result : Theorem 30.69s 10.27s
% Output : CNFRefutation 30.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 2
% Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% Number of atoms : 176 ( 148 equ)
% Maximal formula atoms : 40 ( 5 avg)
% Number of connectives : 160 ( 17 ~; 63 |; 71 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 5 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_5,axiom,
! [X0] :
( ( leq(X0,n5)
& leq(n0,X0) )
=> ( X0 = n5
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 ) ) ).
fof(quaternion_ds1_inuse_0016,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,n5)
& leq(n0,X4) )
=> 'a$uselect2'('sigma$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,n5)
& leq(n0,X4) )
=> 'a$uselect2'('sigma$udefuse',X4) = use ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_inuse_0016]) ).
cnf(c29,plain,
( X0 = n4
| X0 = n1
| X0 = n5
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| X0 = n2
| X0 = n0
| X0 = n3 ),
inference(clausification,[status(esa)],[finite_domain_5]) ).
cnf(c166,plain,
'a$uselect2'('sigma$udefuse',n0) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c167,plain,
'a$uselect2'('sigma$udefuse',n1) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c168,plain,
'a$uselect2'('sigma$udefuse',n2) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c169,plain,
'a$uselect2'('sigma$udefuse',n3) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c170,plain,
'a$uselect2'('sigma$udefuse',n4) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c171,plain,
'a$uselect2'('sigma$udefuse',n5) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c192,plain,
leq(n0,sK185),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c193,plain,
leq(sK185,n5),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c194,plain,
'a$uselect2'('sigma$udefuse',sK185) != use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(sK185,n5)
| sK185 = n3
| sK185 = n2
| sK185 = n1
| sK185 = n0
| sK185 = n4
| sK185 = n5 ),
inference(resolution,[status(thm)],[c29,c192]) ).
cnf(d1,plain,
( sK185 = n3
| sK185 = n2
| sK185 = n1
| sK185 = n0
| sK185 = n4
| sK185 = n5 ),
inference(resolution,[status(thm)],[c193,d0]) ).
cnf(d2,plain,
( sK185 = n2
| sK185 = n1
| sK185 = n0
| sK185 = n4
| sK185 = n5
| 'a$uselect2'('sigma$udefuse',n3) != use ),
inference(superposition,[status(thm)],[d1,c194]) ).
cnf(d3,plain,
( sK185 = n2
| sK185 = n1
| sK185 = n0
| sK185 = n4
| sK185 = n5
| use != use ),
inference(demodulation,[status(thm)],[d2,c169]) ).
cnf(d4,plain,
( sK185 = n2
| sK185 = n1
| sK185 = n0
| sK185 = n4
| sK185 = n5 ),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
( sK185 = n1
| sK185 = n0
| sK185 = n4
| sK185 = n5
| 'a$uselect2'('sigma$udefuse',n2) != use ),
inference(superposition,[status(thm)],[d4,c194]) ).
cnf(d6,plain,
( sK185 = n1
| sK185 = n0
| sK185 = n4
| sK185 = n5
| use != use ),
inference(demodulation,[status(thm)],[d5,c168]) ).
cnf(d7,plain,
( sK185 = n1
| sK185 = n0
| sK185 = n4
| sK185 = n5 ),
inference(equality_resolution,[status(thm)],[d6]) ).
cnf(d8,plain,
( sK185 = n0
| sK185 = n4
| sK185 = n5
| 'a$uselect2'('sigma$udefuse',n1) != use ),
inference(superposition,[status(thm)],[d7,c194]) ).
cnf(d9,plain,
( sK185 = n0
| sK185 = n4
| sK185 = n5
| use != use ),
inference(demodulation,[status(thm)],[d8,c167]) ).
cnf(d10,plain,
( sK185 = n0
| sK185 = n4
| sK185 = n5 ),
inference(equality_resolution,[status(thm)],[d9]) ).
cnf(d11,plain,
( sK185 = n4
| sK185 = n5
| 'a$uselect2'('sigma$udefuse',n0) != use ),
inference(superposition,[status(thm)],[d10,c194]) ).
cnf(d12,plain,
( sK185 = n4
| sK185 = n5
| use != use ),
inference(demodulation,[status(thm)],[d11,c166]) ).
cnf(d13,plain,
( sK185 = n4
| sK185 = n5 ),
inference(equality_resolution,[status(thm)],[d12]) ).
cnf(d14,plain,
( sK185 = n5
| 'a$uselect2'('sigma$udefuse',n4) != use ),
inference(superposition,[status(thm)],[d13,c194]) ).
cnf(d15,plain,
( sK185 = n5
| use != use ),
inference(demodulation,[status(thm)],[d14,c170]) ).
cnf(d16,plain,
sK185 = n5,
inference(equality_resolution,[status(thm)],[d15]) ).
cnf(d17,plain,
'a$uselect2'('sigma$udefuse',n5) != use,
inference(demodulation,[status(thm)],[c194,d16]) ).
cnf(d18,plain,
use != use,
inference(demodulation,[status(thm)],[d17,c171]) ).
cnf(d19,plain,
$false,
inference(equality_resolution,[status(thm)],[d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV205+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
% 0.09/5.37 % Computer : n005.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 13:19:22 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.69/10.27 % SZS status Theorem for theBenchmark.p
% 30.69/10.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------