%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV203+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 : n013.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 53.92s 12.26s
% Output : CNFRefutation 53.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 17 unt; 0 def)
% Number of atoms : 198 ( 124 equ)
% Maximal formula atoms : 51 ( 4 avg)
% Number of connectives : 205 ( 54 ~; 46 |; 92 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(finite_domain_2,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( X0 = n2
| X0 = n1
| X0 = n0 ) ) ).
fof(totality,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ) ).
fof(irreflexivity_gt,axiom,
! [X0] : ~ gt(X0,X0) ).
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(quaternion_ds1_inuse_0014,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 )
& gt(pv5,n0)
& leq(pv5,n998)
& 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,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 )
& gt(pv5,n0)
& leq(pv5,n998)
& 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,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_0014]) ).
cnf(c32,plain,
( X0 = n1
| ~ leq(X0,n2)
| ~ leq(n0,X0)
| X0 = n0
| X0 = n2 ),
inference(clausification,[status(esa)],[finite_domain_2]) ).
cnf(c39,plain,
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(clausification,[status(esa)],[totality]) ).
cnf(c41,plain,
~ gt(X0,X0),
inference(clausification,[status(esa)],[irreflexivity_gt]) ).
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(c194,plain,
( ~ leq(n0,X1)
| 'a$uselect3'('z$udefuse',X0,X1) = use
| ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c195,plain,
leq(n0,sK185),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c196,plain,
leq(n0,sK186),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c197,plain,
leq(sK185,n2),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c198,plain,
leq(sK186,pv5),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c199,plain,
( pv5 != sK186
| n0 != sK185 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c200,plain,
( pv5 != sK186
| n1 != sK185 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c201,plain,
( pv5 != sK186
| n2 != sK185 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c202,plain,
'a$uselect3'('z$udefuse',sK185,sK186) != use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( gt(pv5,sK186)
| sK186 = pv5 ),
inference(resolution,[status(thm)],[c49,c198]) ).
cnf(d1,plain,
( ~ leq(n0,sK186)
| ~ leq(n0,sK185)
| ~ leq(sK186,pred(pv5))
| ~ leq(sK185,n2)
| use != use ),
inference(superposition,[status(thm)],[c194,c202]) ).
cnf(d2,plain,
( ~ leq(sK186,pred(pv5))
| ~ leq(sK185,n2)
| ~ leq(n0,sK186)
| use != use ),
inference(resolution,[status(thm)],[c195,d1]) ).
cnf(d3,plain,
( ~ leq(sK186,pred(pv5))
| ~ leq(sK185,n2)
| use != use ),
inference(resolution,[status(thm)],[c196,d2]) ).
cnf(d4,plain,
( ~ leq(sK186,pred(pv5))
| use != use ),
inference(resolution,[status(thm)],[c197,d3]) ).
cnf(d5,plain,
~ leq(sK186,pred(pv5)),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
~ gt(pv5,sK186),
inference(resolution,[status(thm)],[c51,d5]) ).
cnf(d7,plain,
sK186 = pv5,
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,plain,
( pv5 != pv5
| n1 != sK185 ),
inference(demodulation,[status(thm)],[c200,d7]) ).
cnf(d9,plain,
( gt(sK186,pv5)
| pv5 = sK186 ),
inference(resolution,[status(thm)],[d6,c39]) ).
cnf(d10,plain,
( gt(sK186,pv5)
| pv5 = pv5 ),
inference(demodulation,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
( gt(pv5,pv5)
| pv5 = pv5 ),
inference(demodulation,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
pv5 = pv5,
inference(resolution,[status(thm)],[c41,d11]) ).
cnf(d13,plain,
n1 != sK185,
inference(resolution,[status(thm)],[d12,d8]) ).
cnf(d14,plain,
( pv5 != pv5
| n2 != sK185 ),
inference(demodulation,[status(thm)],[c201,d7]) ).
cnf(d15,plain,
n2 != sK185,
inference(resolution,[status(thm)],[d12,d14]) ).
cnf(d16,plain,
( ~ leq(sK185,n2)
| sK185 = n2
| sK185 = n1
| sK185 = n0 ),
inference(resolution,[status(thm)],[c32,c195]) ).
cnf(d17,plain,
( sK185 = n2
| sK185 = n1
| sK185 = n0 ),
inference(resolution,[status(thm)],[c197,d16]) ).
cnf(d18,plain,
( sK185 = n1
| sK185 = n0
| n2 != n2 ),
inference(superposition,[status(thm)],[d17,d15]) ).
cnf(d19,plain,
( sK185 = n1
| sK185 = n0 ),
inference(equality_resolution,[status(thm)],[d18]) ).
cnf(d20,plain,
( sK185 = n0
| n1 != n1 ),
inference(superposition,[status(thm)],[d19,d13]) ).
cnf(d21,plain,
sK185 = n0,
inference(equality_resolution,[status(thm)],[d20]) ).
cnf(d22,plain,
( pv5 != pv5
| n0 != sK185 ),
inference(demodulation,[status(thm)],[c199,d7]) ).
cnf(d23,plain,
n0 != sK185,
inference(resolution,[status(thm)],[d12,d22]) ).
cnf(d24,plain,
n0 != n0,
inference(demodulation,[status(thm)],[d23,d21]) ).
cnf(d25,plain,
$false,
inference(equality_resolution,[status(thm)],[d24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV203+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
% 0.08/0.34 % Computer : n013.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
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 13:19:06 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.92/12.26 % SZS status Theorem for theBenchmark.p
% 53.92/12.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------