%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT300+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 07:48:11 AM UTC 2026
% Result : Theorem 119.00s 15.68s
% Output : CNFRefutation 119.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 100 ( 11 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 118 ( 52 ~; 44 |; 12 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_m2_filter_2,axiom,
! [X0] :
( ( 'l3$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm2$ufilter$u2'(X1,X0)
=> ( 'm2$ulattice4'(X1,X0)
& ~ 'v1$uxboole$u0'(X1) ) ) ) ).
fof(fc1_xboole_0,axiom,
'v1$uxboole$u0'('k1$uxboole$u0') ).
fof(t10_subset_1,axiom,
! [X0,X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
=> ~ ( ! [X2] :
( 'm1$usubset$u1'(X2,X0)
=> ~ 'r2$uhidden'(X2,X1) )
& X1 != 'k1$uxboole$u0' ) ) ).
fof(dt_m2_lattice4,axiom,
! [X0] :
( ( 'l3$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm2$ulattice4'(X1,X0)
=> 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) ) ) ).
fof(t24_filter_2,conjecture,
! [X0] :
( ( 'l3$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm2$ufilter$u2'(X1,X0)
=> ? [X2] :
( 'r2$uhidden'(X2,X1)
& 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'l3$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm2$ufilter$u2'(X1,X0)
=> ? [X2] :
( 'r2$uhidden'(X2,X1)
& 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0)) ) ) ),
inference(negate_conjecture,[status(cth)],[t24_filter_2]) ).
cnf(c0,plain,
( ~ 'l3$ulattices'(X1)
| ~ 'm2$ufilter$u2'(X0,X1)
| ~ 'v10$ulattices'(X1)
| 'v3$ustruct$u0'(X1)
| ~ 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[dt_m2_filter_2]) ).
cnf(c1,plain,
( 'v3$ustruct$u0'(X0)
| 'm2$ulattice4'(X1,X0)
| ~ 'l3$ulattices'(X0)
| ~ 'm2$ufilter$u2'(X1,X0)
| ~ 'v10$ulattices'(X0) ),
inference(clausification,[status(esa)],[dt_m2_filter_2]) ).
cnf(c77,plain,
'v1$uxboole$u0'('k1$uxboole$u0'),
inference(clausification,[status(esa)],[fc1_xboole_0]) ).
cnf(c118,plain,
( 'm1$usubset$u1'(sK111(X1,X0),X1)
| X0 = 'k1$uxboole$u0'
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t10_subset_1]) ).
cnf(c119,plain,
( 'r2$uhidden'(sK111(X1,X0),X0)
| X0 = 'k1$uxboole$u0'
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t10_subset_1]) ).
cnf(c266,plain,
( 'v3$ustruct$u0'(X1)
| ~ 'l3$ulattices'(X1)
| ~ 'v10$ulattices'(X1)
| ~ 'm2$ulattice4'(X0,X1)
| 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) ),
inference(clausification,[status(esa)],[dt_m2_lattice4]) ).
cnf(c268,plain,
~ 'v3$ustruct$u0'(sK348),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c269,plain,
'v10$ulattices'(sK348),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c270,plain,
'l3$ulattices'(sK348),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c271,plain,
'm2$ufilter$u2'(sK349,sK348),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c272,plain,
( ~ 'r2$uhidden'(X0,sK349)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK348)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'r2$uhidden'(sK111('u1$ustruct$u0'(sK348),X0),sK349)
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK348)))
| X0 = 'k1$uxboole$u0' ),
inference(resolution,[status(thm)],[c118,c272]) ).
cnf(d1,plain,
( ~ 'm1$usubset$u1'(sK349,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK348)))
| sK349 = 'k1$uxboole$u0'
| ~ 'm1$usubset$u1'(sK349,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK348)))
| sK349 = 'k1$uxboole$u0' ),
inference(resolution,[status(thm)],[d0,c119]) ).
cnf(d2,plain,
( sK349 = 'k1$uxboole$u0'
| ~ 'm2$ulattice4'(sK349,sK348)
| 'v3$ustruct$u0'(sK348)
| ~ 'v10$ulattices'(sK348)
| ~ 'l3$ulattices'(sK348) ),
inference(resolution,[status(thm)],[c266,d1]) ).
cnf(d3,plain,
( ~ 'm2$ulattice4'(sK349,sK348)
| ~ 'v10$ulattices'(sK348)
| ~ 'l3$ulattices'(sK348)
| sK349 = 'k1$uxboole$u0' ),
inference(resolution,[status(thm)],[c268,d2]) ).
cnf(d4,plain,
( ~ 'm2$ulattice4'(sK349,sK348)
| ~ 'l3$ulattices'(sK348)
| sK349 = 'k1$uxboole$u0' ),
inference(resolution,[status(thm)],[c269,d3]) ).
cnf(d5,plain,
( ~ 'm2$ulattice4'(sK349,sK348)
| sK349 = 'k1$uxboole$u0' ),
inference(resolution,[status(thm)],[c270,d4]) ).
cnf(d6,plain,
( 'm2$ulattice4'(sK349,sK348)
| 'v3$ustruct$u0'(sK348)
| ~ 'v10$ulattices'(sK348)
| ~ 'l3$ulattices'(sK348) ),
inference(resolution,[status(thm)],[c1,c271]) ).
cnf(d7,plain,
( 'm2$ulattice4'(sK349,sK348)
| ~ 'v10$ulattices'(sK348)
| ~ 'l3$ulattices'(sK348) ),
inference(resolution,[status(thm)],[c268,d6]) ).
cnf(d8,plain,
( 'm2$ulattice4'(sK349,sK348)
| ~ 'l3$ulattices'(sK348) ),
inference(resolution,[status(thm)],[c269,d7]) ).
cnf(d9,plain,
'm2$ulattice4'(sK349,sK348),
inference(resolution,[status(thm)],[c270,d8]) ).
cnf(d10,plain,
sK349 = 'k1$uxboole$u0',
inference(resolution,[status(thm)],[d9,d5]) ).
cnf(d11,plain,
( 'v3$ustruct$u0'(sK348)
| ~ 'v1$uxboole$u0'(sK349)
| ~ 'v10$ulattices'(sK348)
| ~ 'l3$ulattices'(sK348) ),
inference(resolution,[status(thm)],[c271,c0]) ).
cnf(d12,plain,
( ~ 'v1$uxboole$u0'(sK349)
| ~ 'v10$ulattices'(sK348)
| ~ 'l3$ulattices'(sK348) ),
inference(resolution,[status(thm)],[c268,d11]) ).
cnf(d13,plain,
( ~ 'v1$uxboole$u0'(sK349)
| ~ 'l3$ulattices'(sK348) ),
inference(resolution,[status(thm)],[c269,d12]) ).
cnf(d14,plain,
~ 'v1$uxboole$u0'(sK349),
inference(resolution,[status(thm)],[c270,d13]) ).
cnf(d15,plain,
~ 'v1$uxboole$u0'('k1$uxboole$u0'),
inference(demodulation,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[c77,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT300+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n019.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 20:37:04 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 119.00/15.68 % SZS status Theorem for theBenchmark.p
% 119.00/15.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------