%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT300+1 : 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 07:48:11 AM UTC 2026
% Result : Theorem 12.41s 2.13s
% Output : CNFRefutation 12.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 120 ( 51 ~; 47 |; 12 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 39 ( 0 sgn 14 !; 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$u0'(X1) ) ) ) ).
fof(dt_m2_lattice4,axiom,
! [X0] :
( ( 'l3$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(existence_m1_subset_1,axiom,
! [X0] :
? [X1] : 'm1$usubset$u1'(X1,X0) ).
fof(t2_subset,axiom,
! [X0,X1] :
( 'm1$usubset$u1'(X0,X1)
=> ( 'r2$uhidden'(X0,X1)
| 'v1$uxboole$u0'(X1) ) ) ).
fof(t4_subset,axiom,
! [X0,X1,X2] :
( ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X2))
& 'r2$uhidden'(X0,X1) )
=> 'm1$usubset$u1'(X0,X2) ) ).
fof(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(c17,plain,
( 'v3$ustruct$u0'(X0)
| ~ 'm2$ufilter$u2'(X1,X0)
| ~ 'v1$uxboole$u0'(X1)
| ~ 'l3$ulattices'(X0)
| ~ 'v10$ulattices'(X0) ),
inference(clausification,[status(esa)],[dt_m2_filter_2]) ).
cnf(c18,plain,
( 'v3$ustruct$u0'(X1)
| ~ 'm2$ufilter$u2'(X0,X1)
| ~ 'l3$ulattices'(X1)
| ~ 'v10$ulattices'(X1)
| 'm2$ulattice4'(X0,X1) ),
inference(clausification,[status(esa)],[dt_m2_filter_2]) ).
cnf(c19,plain,
( 'v3$ustruct$u0'(X0)
| ~ 'l3$ulattices'(X0)
| 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
| ~ 'm2$ulattice4'(X1,X0)
| ~ 'v10$ulattices'(X0) ),
inference(clausification,[status(esa)],[dt_m2_lattice4]) ).
cnf(c25,plain,
'm1$usubset$u1'(sK24(X0),X0),
inference(clausification,[status(esa)],[existence_m1_subset_1]) ).
cnf(c47,plain,
( 'r2$uhidden'(X0,X1)
| 'v1$uxboole$u0'(X1)
| ~ 'm1$usubset$u1'(X0,X1) ),
inference(clausification,[status(esa)],[t2_subset]) ).
cnf(c50,plain,
( 'm1$usubset$u1'(X0,X2)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X2))
| ~ 'r2$uhidden'(X0,X1) ),
inference(clausification,[status(esa)],[t4_subset]) ).
cnf(c55,plain,
~ 'v3$ustruct$u0'(sK64),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c56,plain,
'v10$ulattices'(sK64),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c57,plain,
'l3$ulattices'(sK64),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c58,plain,
'm2$ufilter$u2'(sK65,sK64),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c59,plain,
( ~ 'r2$uhidden'(X0,sK65)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK64)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'v1$uxboole$u0'(X0)
| 'r2$uhidden'(sK24(X0),X0) ),
inference(resolution,[status(thm)],[c47,c25]) ).
cnf(d1,plain,
( 'm2$ulattice4'(sK65,sK64)
| 'v3$ustruct$u0'(sK64)
| ~ 'l3$ulattices'(sK64)
| ~ 'v10$ulattices'(sK64) ),
inference(resolution,[status(thm)],[c18,c58]) ).
cnf(d2,plain,
( 'm2$ulattice4'(sK65,sK64)
| ~ 'l3$ulattices'(sK64)
| ~ 'v10$ulattices'(sK64) ),
inference(resolution,[status(thm)],[c55,d1]) ).
cnf(d3,plain,
( 'm2$ulattice4'(sK65,sK64)
| ~ 'l3$ulattices'(sK64) ),
inference(resolution,[status(thm)],[c56,d2]) ).
cnf(d4,plain,
'm2$ulattice4'(sK65,sK64),
inference(resolution,[status(thm)],[c57,d3]) ).
cnf(d5,plain,
( ~ 'm2$ulattice4'(X1,X2)
| 'v3$ustruct$u0'(X2)
| ~ 'l3$ulattices'(X2)
| ~ 'v10$ulattices'(X2)
| 'm1$usubset$u1'(X0,'u1$ustruct$u0'(X2))
| ~ 'r2$uhidden'(X0,X1) ),
inference(resolution,[status(thm)],[c50,c19]) ).
cnf(d6,plain,
( 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK64))
| 'v3$ustruct$u0'(sK64)
| ~ 'l3$ulattices'(sK64)
| ~ 'v10$ulattices'(sK64)
| ~ 'r2$uhidden'(X0,sK65) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK64))
| ~ 'l3$ulattices'(sK64)
| ~ 'v10$ulattices'(sK64)
| ~ 'r2$uhidden'(X0,sK65) ),
inference(resolution,[status(thm)],[c55,d6]) ).
cnf(d8,plain,
( 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK64))
| ~ 'l3$ulattices'(sK64)
| ~ 'r2$uhidden'(X0,sK65) ),
inference(resolution,[status(thm)],[c56,d7]) ).
cnf(d9,plain,
( 'm1$usubset$u1'(X0,'u1$ustruct$u0'(sK64))
| ~ 'r2$uhidden'(X0,sK65) ),
inference(resolution,[status(thm)],[c57,d8]) ).
cnf(d10,plain,
( ~ 'r2$uhidden'(X0,sK65)
| ~ 'r2$uhidden'(X0,sK65) ),
inference(resolution,[status(thm)],[d9,c59]) ).
cnf(d11,plain,
'v1$uxboole$u0'(sK65),
inference(resolution,[status(thm)],[d10,d0]) ).
cnf(d12,plain,
( 'v3$ustruct$u0'(sK64)
| ~ 'l3$ulattices'(sK64)
| ~ 'v10$ulattices'(sK64)
| ~ 'v1$uxboole$u0'(sK65) ),
inference(resolution,[status(thm)],[c17,c58]) ).
cnf(d13,plain,
( ~ 'l3$ulattices'(sK64)
| ~ 'v10$ulattices'(sK64)
| ~ 'v1$uxboole$u0'(sK65) ),
inference(resolution,[status(thm)],[c55,d12]) ).
cnf(d14,plain,
( ~ 'l3$ulattices'(sK64)
| ~ 'v1$uxboole$u0'(sK65) ),
inference(resolution,[status(thm)],[c56,d13]) ).
cnf(d15,plain,
~ 'v1$uxboole$u0'(sK65),
inference(resolution,[status(thm)],[c57,d14]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[d15,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT300+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 20:35:08 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.41/2.13 % SZS status Theorem for theBenchmark.p
% 12.41/2.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------