%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT300+3 : 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 : n011.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 121.40s 19.91s
% Output : CNFRefutation 121.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 59 ( 13 unt; 0 def)
% Number of atoms : 169 ( 12 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 197 ( 87 ~; 77 |; 15 &)
% ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 84 ( 3 sgn 26 !; 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$u0'(X1) ) ) ) ).
fof(d1_zfmisc_1,axiom,
! [X0,X1] :
( X1 = 'k1$uzfmisc$u1'(X0)
<=> ! [X2] :
( 'r2$uhidden'(X2,X1)
<=> 'r1$utarski'(X2,X0) ) ) ).
fof(t79_zfmisc_1,axiom,
! [X0,X1] :
( 'r1$utarski'(X0,X1)
=> 'r1$utarski'('k1$uzfmisc$u1'(X0),'k1$uzfmisc$u1'(X1)) ) ).
fof(rc2_subset_1,axiom,
! [X0] :
? [X1] :
( 'v1$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$uhidden'(X3,X2) ) )
=> X1 = X2 ) ) ) ).
fof(t3_subset,axiom,
! [X0,X1] :
( 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1))
<=> 'r1$utarski'(X0,X1) ) ).
fof(t4_subset,axiom,
! [X0,X1,X2] :
( ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X2))
& 'r2$uhidden'(X0,X1) )
=> 'm1$usubset$u1'(X0,X2) ) ).
fof(t5_subset,axiom,
! [X0,X1,X2] :
~ ( 'v1$uxboole$u0'(X2)
& 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X2))
& 'r2$uhidden'(X0,X1) ) ).
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(c76,plain,
( ~ 'r1$utarski'(X2,X1)
| 'r2$uhidden'(X2,X0)
| X0 != 'k1$uzfmisc$u1'(X1) ),
inference(clausification,[status(esa)],[d1_zfmisc_1]) ).
cnf(c81,plain,
( 'r1$utarski'('k1$uzfmisc$u1'(X0),'k1$uzfmisc$u1'(X1))
| ~ 'r1$utarski'(X0,X1) ),
inference(clausification,[status(esa)],[t79_zfmisc_1]) ).
cnf(c85,plain,
'm1$usubset$u1'(sK75(X0),'k1$uzfmisc$u1'(X0)),
inference(clausification,[status(esa)],[rc2_subset_1]) ).
cnf(c86,plain,
'v1$uxboole$u0'(sK75(X0)),
inference(clausification,[status(esa)],[rc2_subset_1]) ).
cnf(c94,plain,
( X0 = X2
| 'm1$usubset$u1'(sK85(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(c96,plain,
( 'r2$uhidden'(sK85(X2,X0,X1),X0)
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X2))
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X2))
| 'r2$uhidden'(sK85(X2,X0,X1),X1)
| X0 = X1 ),
inference(clausification,[status(esa)],[t8_subset_1]) ).
cnf(c111,plain,
( 'r1$utarski'(X0,X1)
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t3_subset]) ).
cnf(c112,plain,
( ~ 'r1$utarski'(X0,X1)
| 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t3_subset]) ).
cnf(c113,plain,
( 'm1$usubset$u1'(X0,X2)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X2))
| ~ 'r2$uhidden'(X0,X1) ),
inference(clausification,[status(esa)],[t4_subset]) ).
cnf(c114,plain,
( ~ 'v1$uxboole$u0'(X2)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X2))
| ~ 'r2$uhidden'(X0,X1) ),
inference(clausification,[status(esa)],[t5_subset]) ).
cnf(c215,plain,
( ~ 'm2$ulattice4'(X0,X1)
| ~ 'l3$ulattices'(X1)
| ~ 'v10$ulattices'(X1)
| 'v3$ustruct$u0'(X1)
| 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) ),
inference(clausification,[status(esa)],[dt_m2_lattice4]) ).
cnf(c217,plain,
~ 'v3$ustruct$u0'(sK243),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
'v10$ulattices'(sK243),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c219,plain,
'l3$ulattices'(sK243),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c220,plain,
'm2$ufilter$u2'(sK244,sK243),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c221,plain,
( ~ 'r2$uhidden'(X0,sK244)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK243)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'r1$utarski'(sK75(X0),X0),
inference(resolution,[status(thm)],[c111,c85]) ).
cnf(d1,plain,
( ~ 'r1$utarski'(X0,X1)
| 'r2$uhidden'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(equality_resolution,[status(thm)],[c76]) ).
cnf(d2,plain,
( ~ 'r1$utarski'(X2,X1)
| ~ 'r2$uhidden'(X0,X2)
| 'm1$usubset$u1'(X0,X1) ),
inference(resolution,[status(thm)],[c113,c112]) ).
cnf(d3,plain,
( ~ 'r1$utarski'(X2,X1)
| ~ 'r2$uhidden'(X0,'k1$uzfmisc$u1'(X2))
| 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(resolution,[status(thm)],[d2,c81]) ).
cnf(d4,plain,
( ~ 'r1$utarski'(X0,X2)
| ~ 'r1$utarski'(X2,X1)
| 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( 'r1$utarski'(X2,X1)
| ~ 'r1$utarski'(X2,X0)
| ~ 'r1$utarski'(X0,X1) ),
inference(resolution,[status(thm)],[d4,c111]) ).
cnf(d6,plain,
( ~ 'r1$utarski'(X0,sK75(X1))
| 'r1$utarski'(X0,X1) ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
'r1$utarski'(sK75(sK75(X0)),X0),
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,plain,
( ~ 'r2$uhidden'(X1,sK75(X0))
| ~ 'v1$uxboole$u0'(X0) ),
inference(resolution,[status(thm)],[c114,c85]) ).
cnf(d9,plain,
( ~ 'r2$uhidden'(sK85('u1$ustruct$u0'(sK243),X0,X1),sK244)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK243)))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK243)))
| X0 = X1 ),
inference(resolution,[status(thm)],[c94,c221]) ).
cnf(d10,plain,
( 'r2$uhidden'(sK85('u1$ustruct$u0'(sK243),X0,sK244),X0)
| ~ 'm1$usubset$u1'(sK244,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK243)))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK243)))
| X0 = sK244
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK243)))
| ~ 'm1$usubset$u1'(sK244,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK243)))
| X0 = sK244 ),
inference(resolution,[status(thm)],[d9,c96]) ).
cnf(d11,plain,
( ~ 'v1$uxboole$u0'(X0)
| ~ 'm1$usubset$u1'(sK244,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK243)))
| ~ 'm1$usubset$u1'(sK75(X0),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK243)))
| sK75(X0) = sK244 ),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
( ~ 'r1$utarski'(sK75(X0),'u1$ustruct$u0'(sK243))
| ~ 'm1$usubset$u1'(sK244,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK243)))
| ~ 'v1$uxboole$u0'(X0)
| sK75(X0) = sK244 ),
inference(resolution,[status(thm)],[d11,c112]) ).
cnf(d13,plain,
( ~ 'm1$usubset$u1'(sK244,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK243)))
| ~ 'v1$uxboole$u0'(sK75('u1$ustruct$u0'(sK243)))
| sK75(sK75('u1$ustruct$u0'(sK243))) = sK244 ),
inference(resolution,[status(thm)],[d12,d7]) ).
cnf(d14,plain,
( ~ 'm1$usubset$u1'(sK244,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK243)))
| sK75(sK75('u1$ustruct$u0'(sK243))) = sK244 ),
inference(resolution,[status(thm)],[c86,d13]) ).
cnf(d15,plain,
( ~ 'm1$usubset$u1'(sK244,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK243)))
| 'v1$uxboole$u0'(sK244) ),
inference(superposition,[status(thm)],[d14,c86]) ).
cnf(d16,plain,
( 'v3$ustruct$u0'(sK243)
| ~ 'v1$uxboole$u0'(sK244)
| ~ 'v10$ulattices'(sK243)
| ~ 'l3$ulattices'(sK243) ),
inference(resolution,[status(thm)],[c220,c0]) ).
cnf(d17,plain,
( ~ 'v1$uxboole$u0'(sK244)
| ~ 'v10$ulattices'(sK243)
| ~ 'l3$ulattices'(sK243) ),
inference(resolution,[status(thm)],[c217,d16]) ).
cnf(d18,plain,
( ~ 'v1$uxboole$u0'(sK244)
| ~ 'l3$ulattices'(sK243) ),
inference(resolution,[status(thm)],[c218,d17]) ).
cnf(d19,plain,
~ 'v1$uxboole$u0'(sK244),
inference(resolution,[status(thm)],[c219,d18]) ).
cnf(d20,plain,
~ 'm1$usubset$u1'(sK244,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK243))),
inference(resolution,[status(thm)],[d19,d15]) ).
cnf(d21,plain,
( ~ 'm2$ulattice4'(sK244,sK243)
| 'v3$ustruct$u0'(sK243)
| ~ 'v10$ulattices'(sK243)
| ~ 'l3$ulattices'(sK243) ),
inference(resolution,[status(thm)],[d20,c215]) ).
cnf(d22,plain,
( ~ 'm2$ulattice4'(sK244,sK243)
| ~ 'v10$ulattices'(sK243)
| ~ 'l3$ulattices'(sK243) ),
inference(resolution,[status(thm)],[c217,d21]) ).
cnf(d23,plain,
( ~ 'm2$ulattice4'(sK244,sK243)
| ~ 'l3$ulattices'(sK243) ),
inference(resolution,[status(thm)],[c218,d22]) ).
cnf(d24,plain,
~ 'm2$ulattice4'(sK244,sK243),
inference(resolution,[status(thm)],[c219,d23]) ).
cnf(d25,plain,
( 'm2$ulattice4'(sK244,sK243)
| 'v3$ustruct$u0'(sK243)
| ~ 'v10$ulattices'(sK243)
| ~ 'l3$ulattices'(sK243) ),
inference(resolution,[status(thm)],[c1,c220]) ).
cnf(d26,plain,
( 'm2$ulattice4'(sK244,sK243)
| ~ 'v10$ulattices'(sK243)
| ~ 'l3$ulattices'(sK243) ),
inference(resolution,[status(thm)],[c217,d25]) ).
cnf(d27,plain,
( 'm2$ulattice4'(sK244,sK243)
| ~ 'l3$ulattices'(sK243) ),
inference(resolution,[status(thm)],[c218,d26]) ).
cnf(d28,plain,
'm2$ulattice4'(sK244,sK243),
inference(resolution,[status(thm)],[c219,d27]) ).
cnf(d29,plain,
$false,
inference(resolution,[status(thm)],[d28,d24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT300+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 20:37:19 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 121.40/19.91 % SZS status Theorem for theBenchmark.p
% 121.40/19.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------