%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT300+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 07:48:12 AM UTC 2026
% Result : Theorem 106.72s 28.55s
% Output : CNFRefutation 106.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 11 unt; 0 def)
% Number of atoms : 132 ( 14 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 162 ( 70 ~; 66 |; 13 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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; 2 con; 0-3 aty)
% Number of variables : 44 ( 2 sgn 15 !; 3 ?)
% 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$u0'(X1) ) ) ) ).
fof(t7_boole,axiom,
! [X0,X1] :
~ ( 'v1$uxboole$u0'(X1)
& 'r2$uhidden'(X0,X1) ) ).
fof(rc2_subset_1,axiom,
! [X0] :
? [X1] :
( 'v1$uxboole$u0'(X1)
& 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0)) ) ).
fof(t8_subset_1,axiom,
! [X0,X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
=> ! [X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
=> ( ! [X3] :
( 'm1$usubset$u1'(X3,X0)
=> ( 'r2$uhidden'(X3,X1)
<=> 'r2$uhidden'(X3,X2) ) )
=> X1 = X2 ) ) ) ).
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(c75,plain,
( ~ 'v1$uxboole$u0'(X1)
| ~ 'r2$uhidden'(X0,X1) ),
inference(clausification,[status(esa)],[t7_boole]) ).
cnf(c80,plain,
'm1$usubset$u1'(sK75(X0),'k1$uzfmisc$u1'(X0)),
inference(clausification,[status(esa)],[rc2_subset_1]) ).
cnf(c81,plain,
'v1$uxboole$u0'(sK75(X0)),
inference(clausification,[status(esa)],[rc2_subset_1]) ).
cnf(c86,plain,
( X0 = X2
| 'm1$usubset$u1'(sK81(X1,X0,X2),X1)
| ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X1))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t8_subset_1]) ).
cnf(c88,plain,
( 'r2$uhidden'(sK81(X2,X0,X1),X1)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X2))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X2))
| 'r2$uhidden'(sK81(X2,X0,X1),X0)
| X0 = X1 ),
inference(clausification,[status(esa)],[t8_subset_1]) ).
cnf(c233,plain,
( 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))
| ~ 'v10$ulattices'(X1)
| 'v3$ustruct$u0'(X1)
| ~ 'l3$ulattices'(X1)
| ~ 'm2$ulattice4'(X0,X1) ),
inference(clausification,[status(esa)],[dt_m2_lattice4]) ).
cnf(c238,plain,
~ 'v3$ustruct$u0'(sK279),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c239,plain,
'v10$ulattices'(sK279),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c240,plain,
'l3$ulattices'(sK279),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c241,plain,
'm2$ufilter$u2'(sK280,sK279),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c242,plain,
( ~ 'r2$uhidden'(X0,sK280)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK279)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'r2$uhidden'(sK81('u1$ustruct$u0'(sK279),X0,X1),sK280)
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK279)))
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK279)))
| X0 = X1 ),
inference(resolution,[status(thm)],[c86,c242]) ).
cnf(d1,plain,
( 'r2$uhidden'(sK81('u1$ustruct$u0'(sK279),sK280,X0),X0)
| ~ 'm1$usubset$u1'(sK280,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK279)))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK279)))
| sK280 = X0
| ~ 'm1$usubset$u1'(sK280,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK279)))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK279)))
| sK280 = X0 ),
inference(resolution,[status(thm)],[d0,c88]) ).
cnf(d2,plain,
( ~ 'v1$uxboole$u0'(X0)
| ~ 'm1$usubset$u1'(sK280,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK279)))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK279)))
| sK280 = X0 ),
inference(resolution,[status(thm)],[d1,c75]) ).
cnf(d3,plain,
( ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK279)))
| ~ 'v1$uxboole$u0'(X0)
| sK280 = X0
| ~ 'm2$ulattice4'(sK280,sK279)
| 'v3$ustruct$u0'(sK279)
| ~ 'v10$ulattices'(sK279)
| ~ 'l3$ulattices'(sK279) ),
inference(resolution,[status(thm)],[c233,d2]) ).
cnf(d4,plain,
( ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK279)))
| ~ 'm2$ulattice4'(sK280,sK279)
| ~ 'v1$uxboole$u0'(X0)
| ~ 'v10$ulattices'(sK279)
| ~ 'l3$ulattices'(sK279)
| sK280 = X0 ),
inference(resolution,[status(thm)],[c238,d3]) ).
cnf(d5,plain,
( ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK279)))
| ~ 'm2$ulattice4'(sK280,sK279)
| ~ 'v1$uxboole$u0'(X0)
| ~ 'l3$ulattices'(sK279)
| sK280 = X0 ),
inference(resolution,[status(thm)],[c239,d4]) ).
cnf(d6,plain,
( ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK279)))
| ~ 'm2$ulattice4'(sK280,sK279)
| ~ 'v1$uxboole$u0'(X0)
| sK280 = X0 ),
inference(resolution,[status(thm)],[c240,d5]) ).
cnf(d7,plain,
( 'm2$ulattice4'(sK280,sK279)
| 'v3$ustruct$u0'(sK279)
| ~ 'v10$ulattices'(sK279)
| ~ 'l3$ulattices'(sK279) ),
inference(resolution,[status(thm)],[c1,c241]) ).
cnf(d8,plain,
( 'm2$ulattice4'(sK280,sK279)
| ~ 'v10$ulattices'(sK279)
| ~ 'l3$ulattices'(sK279) ),
inference(resolution,[status(thm)],[c238,d7]) ).
cnf(d9,plain,
( 'm2$ulattice4'(sK280,sK279)
| ~ 'l3$ulattices'(sK279) ),
inference(resolution,[status(thm)],[c239,d8]) ).
cnf(d10,plain,
'm2$ulattice4'(sK280,sK279),
inference(resolution,[status(thm)],[c240,d9]) ).
cnf(d11,plain,
( ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK279)))
| ~ 'v1$uxboole$u0'(X0)
| sK280 = X0 ),
inference(resolution,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
( ~ 'v1$uxboole$u0'(sK75('u1$ustruct$u0'(sK279)))
| sK280 = sK75('u1$ustruct$u0'(sK279)) ),
inference(resolution,[status(thm)],[d11,c80]) ).
cnf(d13,plain,
sK280 = sK75('u1$ustruct$u0'(sK279)),
inference(resolution,[status(thm)],[c81,d12]) ).
cnf(d14,plain,
'v1$uxboole$u0'(sK280),
inference(superposition,[status(thm)],[d13,c81]) ).
cnf(d15,plain,
( 'v3$ustruct$u0'(sK279)
| ~ 'v1$uxboole$u0'(sK280)
| ~ 'v10$ulattices'(sK279)
| ~ 'l3$ulattices'(sK279) ),
inference(resolution,[status(thm)],[c241,c0]) ).
cnf(d16,plain,
( ~ 'v1$uxboole$u0'(sK280)
| ~ 'v10$ulattices'(sK279)
| ~ 'l3$ulattices'(sK279) ),
inference(resolution,[status(thm)],[c238,d15]) ).
cnf(d17,plain,
( ~ 'v1$uxboole$u0'(sK280)
| ~ 'l3$ulattices'(sK279) ),
inference(resolution,[status(thm)],[c239,d16]) ).
cnf(d18,plain,
~ 'v1$uxboole$u0'(sK280),
inference(resolution,[status(thm)],[c240,d17]) ).
cnf(d19,plain,
$false,
inference(resolution,[status(thm)],[d18,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT300+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 20:35:29 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 106.72/28.55 % SZS status Theorem for theBenchmark.p
% 106.72/28.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------