%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT331+2 : TPTP v9.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wen4GDQZix true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:41:34 PM UTC 2025
% Result : Theorem 12.40s 2.38s
% Output : Refutation 12.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 157 ( 102 unt; 0 typ; 0 def)
% Number of atoms : 342 ( 86 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 1107 ( 122 ~; 125 |; 37 &; 800 @)
% ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 5 con; 0-3 aty)
% Number of variables : 57 ( 0 ^; 57 !; 0 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(u1_lattices_type,type,
u1_lattices: $i > $i ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(v4_lattices_type,type,
v4_lattices: $i > $o ).
thf(u2_lattices_type,type,
u2_lattices: $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(k8_filter_0_type,type,
k8_filter_0: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(v3_lattices_type,type,
v3_lattices: $i > $o ).
thf(v5_lattices_type,type,
v5_lattices: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(v6_lattices_type,type,
v6_lattices: $i > $o ).
thf(m1_filter_2_type,type,
m1_filter_2: $i > $i > $o ).
thf(k1_lattice2_type,type,
k1_lattice2: $i > $i ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(v10_lattices_type,type,
v10_lattices: $i > $o ).
thf(v8_lattices_type,type,
v8_lattices: $i > $o ).
thf(m1_filter_0_type,type,
m1_filter_0: $i > $i > $o ).
thf(v7_lattices_type,type,
v7_lattices: $i > $o ).
thf(k1_realset1_type,type,
k1_realset1: $i > $i > $i ).
thf(v9_lattices_type,type,
v9_lattices: $i > $o ).
thf(g3_lattices_type,type,
g3_lattices: $i > $i > $i > $i ).
thf(t68_filter_2,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( m1_filter_2 @ C @ A )
=> ! [D: $i] :
( ( m1_filter_2 @ D @ B )
=> ( ( ( ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) )
= ( g3_lattices @ ( u1_struct_0 @ B ) @ ( u2_lattices @ B ) @ ( u1_lattices @ B ) ) )
& ( C = D ) )
=> ( ( k8_filter_0 @ A @ C )
= ( k8_filter_0 @ B @ D ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( m1_filter_2 @ C @ A )
=> ! [D: $i] :
( ( m1_filter_2 @ D @ B )
=> ( ( ( ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) )
= ( g3_lattices @ ( u1_struct_0 @ B ) @ ( u2_lattices @ B ) @ ( u1_lattices @ B ) ) )
& ( C = D ) )
=> ( ( k8_filter_0 @ A @ C )
= ( k8_filter_0 @ B @ D ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t68_filter_2]) ).
thf(zip_derived_cl70,plain,
m1_filter_2 @ sk__6 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72,plain,
sk__6 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79,plain,
m1_filter_2 @ sk__7 @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl72]) ).
thf(redefinition_m1_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_filter_2 @ B @ A )
<=> ( m1_filter_0 @ B @ A ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_2 @ X0 @ X1 )
| ( m1_filter_0 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_m1_filter_2]) ).
thf(zip_derived_cl122,plain,
( ( v3_struct_0 @ sk__4 )
| ~ ( v10_lattices @ sk__4 )
| ~ ( l3_lattices @ sk__4 )
| ( m1_filter_0 @ sk__7 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl57]) ).
thf(zip_derived_cl67,plain,
~ ( v3_struct_0 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68,plain,
v10_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl69,plain,
l3_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126,plain,
m1_filter_0 @ sk__7 @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl67,zip_derived_cl68,zip_derived_cl69]) ).
thf(t63_filter_0,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_filter_0 @ B @ A )
=> ( ( ( u1_struct_0 @ ( k8_filter_0 @ A @ B ) )
= B )
& ( ( u2_lattices @ ( k8_filter_0 @ A @ B ) )
= ( k1_realset1 @ ( u2_lattices @ A ) @ B ) )
& ( ( u1_lattices @ ( k8_filter_0 @ A @ B ) )
= ( k1_realset1 @ ( u1_lattices @ A ) @ B ) ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( ( u1_struct_0 @ ( k8_filter_0 @ X1 @ X0 ) )
= X0 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t63_filter_0]) ).
thf(zip_derived_cl227,plain,
( ( v3_struct_0 @ sk__4 )
| ~ ( v10_lattices @ sk__4 )
| ~ ( l3_lattices @ sk__4 )
| ( ( u1_struct_0 @ ( k8_filter_0 @ sk__4 @ sk__7 ) )
= sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl30]) ).
thf(zip_derived_cl67_001,plain,
~ ( v3_struct_0 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68_002,plain,
v10_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl69_003,plain,
l3_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl231,plain,
( ( u1_struct_0 @ ( k8_filter_0 @ sk__4 @ sk__7 ) )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl67,zip_derived_cl68,zip_derived_cl69]) ).
thf(abstractness_v3_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( v3_lattices @ A )
=> ( A
= ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( v3_lattices @ X0 )
| ( X0
= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[abstractness_v3_lattices]) ).
thf(zip_derived_cl284,plain,
( ( ( k8_filter_0 @ sk__4 @ sk__7 )
= ( g3_lattices @ sk__7 @ ( u2_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ) ) @ ( u1_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ) ) ) )
| ~ ( l3_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ) )
| ~ ( v3_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl231,zip_derived_cl3]) ).
thf(zip_derived_cl126_004,plain,
m1_filter_0 @ sk__7 @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl67,zip_derived_cl68,zip_derived_cl69]) ).
thf(dt_k8_filter_0,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ( m1_filter_0 @ B @ A ) )
=> ( ~ ( v3_struct_0 @ ( k8_filter_0 @ A @ B ) )
& ( v10_lattices @ ( k8_filter_0 @ A @ B ) )
& ( l3_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_filter_0 @ X1 @ X0 )
| ( l3_lattices @ ( k8_filter_0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k8_filter_0]) ).
thf(zip_derived_cl219,plain,
( ( l3_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ) )
| ( v3_struct_0 @ sk__4 )
| ~ ( v10_lattices @ sk__4 )
| ~ ( l3_lattices @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl46]) ).
thf(zip_derived_cl67_005,plain,
~ ( v3_struct_0 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68_006,plain,
v10_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl69_007,plain,
l3_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl223,plain,
l3_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl67,zip_derived_cl68,zip_derived_cl69]) ).
thf(zip_derived_cl126_008,plain,
m1_filter_0 @ sk__7 @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl67,zip_derived_cl68,zip_derived_cl69]) ).
thf(fc2_filter_0,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ( m1_filter_0 @ B @ A ) )
=> ( ~ ( v3_struct_0 @ ( k8_filter_0 @ A @ B ) )
& ( v3_lattices @ ( k8_filter_0 @ A @ B ) )
& ( v4_lattices @ ( k8_filter_0 @ A @ B ) )
& ( v5_lattices @ ( k8_filter_0 @ A @ B ) )
& ( v6_lattices @ ( k8_filter_0 @ A @ B ) )
& ( v7_lattices @ ( k8_filter_0 @ A @ B ) )
& ( v8_lattices @ ( k8_filter_0 @ A @ B ) )
& ( v9_lattices @ ( k8_filter_0 @ A @ B ) )
& ( v10_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_filter_0 @ X1 @ X0 )
| ( v3_lattices @ ( k8_filter_0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc2_filter_0]) ).
thf(zip_derived_cl211,plain,
( ( v3_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ) )
| ( v3_struct_0 @ sk__4 )
| ~ ( v10_lattices @ sk__4 )
| ~ ( l3_lattices @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl16]) ).
thf(zip_derived_cl67_009,plain,
~ ( v3_struct_0 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68_010,plain,
v10_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl69_011,plain,
l3_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl215,plain,
v3_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl67,zip_derived_cl68,zip_derived_cl69]) ).
thf(zip_derived_cl285,plain,
( ( k8_filter_0 @ sk__4 @ sk__7 )
= ( g3_lattices @ sk__7 @ ( u2_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ) ) @ ( u1_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl284,zip_derived_cl223,zip_derived_cl215]) ).
thf(zip_derived_cl126_012,plain,
m1_filter_0 @ sk__7 @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl67,zip_derived_cl68,zip_derived_cl69]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( ( u2_lattices @ ( k8_filter_0 @ X1 @ X0 ) )
= ( k1_realset1 @ ( u2_lattices @ X1 ) @ X0 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t63_filter_0]) ).
thf(zip_derived_cl305,plain,
( ( v3_struct_0 @ sk__4 )
| ~ ( v10_lattices @ sk__4 )
| ~ ( l3_lattices @ sk__4 )
| ( ( u2_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ) )
= ( k1_realset1 @ ( u2_lattices @ sk__4 ) @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl29]) ).
thf(zip_derived_cl67_013,plain,
~ ( v3_struct_0 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68_014,plain,
v10_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl69_015,plain,
l3_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl309,plain,
( ( u2_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ) )
= ( k1_realset1 @ ( u2_lattices @ sk__4 ) @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl305,zip_derived_cl67,zip_derived_cl68,zip_derived_cl69]) ).
thf(zip_derived_cl69_016,plain,
l3_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t18_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l3_lattices @ A ) )
=> ( ( ( u1_struct_0 @ A )
= ( u1_struct_0 @ ( k1_lattice2 @ A ) ) )
& ( ( u2_lattices @ A )
= ( u1_lattices @ ( k1_lattice2 @ A ) ) )
& ( ( u1_lattices @ A )
= ( u2_lattices @ ( k1_lattice2 @ A ) ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ( ( u2_lattices @ X0 )
= ( u1_lattices @ ( k1_lattice2 @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t18_lattice2]) ).
thf(zip_derived_cl88,plain,
( ( v3_struct_0 @ sk__4 )
| ( ( u2_lattices @ sk__4 )
= ( u1_lattices @ ( k1_lattice2 @ sk__4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl51]) ).
thf(zip_derived_cl67_017,plain,
~ ( v3_struct_0 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl90,plain,
( ( u2_lattices @ sk__4 )
= ( u1_lattices @ ( k1_lattice2 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl67]) ).
thf(zip_derived_cl75,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t7_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ( k1_lattice2 @ ( k1_lattice2 @ A ) )
= ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ( ( k1_lattice2 @ ( k1_lattice2 @ X0 ) )
= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t7_filter_2]) ).
thf(zip_derived_cl345,plain,
( ( v3_struct_0 @ sk__5 )
| ~ ( v10_lattices @ sk__5 )
| ( ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__5 ) @ ( u2_lattices @ sk__5 ) @ ( u1_lattices @ sk__5 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl59]) ).
thf(zip_derived_cl77,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76,plain,
v10_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl351,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__5 ) @ ( u2_lattices @ sk__5 ) @ ( u1_lattices @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl77,zip_derived_cl76]) ).
thf(zip_derived_cl69_018,plain,
l3_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59_019,plain,
! [X0: $i] :
( ( ( k1_lattice2 @ ( k1_lattice2 @ X0 ) )
= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t7_filter_2]) ).
thf(zip_derived_cl344,plain,
( ( v3_struct_0 @ sk__4 )
| ~ ( v10_lattices @ sk__4 )
| ( ( k1_lattice2 @ ( k1_lattice2 @ sk__4 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__4 ) @ ( u2_lattices @ sk__4 ) @ ( u1_lattices @ sk__4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl59]) ).
thf(zip_derived_cl67_020,plain,
~ ( v3_struct_0 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68_021,plain,
v10_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl350,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__4 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__4 ) @ ( u2_lattices @ sk__4 ) @ ( u1_lattices @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl344,zip_derived_cl67,zip_derived_cl68]) ).
thf(zip_derived_cl71,plain,
( ( g3_lattices @ ( u1_struct_0 @ sk__4 ) @ ( u2_lattices @ sk__4 ) @ ( u1_lattices @ sk__4 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__5 ) @ ( u2_lattices @ sk__5 ) @ ( u1_lattices @ sk__5 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl350_022,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__4 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__4 ) @ ( u2_lattices @ sk__4 ) @ ( u1_lattices @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl344,zip_derived_cl67,zip_derived_cl68]) ).
thf(zip_derived_cl373,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__4 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__5 ) @ ( u2_lattices @ sk__5 ) @ ( u1_lattices @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl350]) ).
thf(zip_derived_cl351_023,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__5 ) @ ( u2_lattices @ sk__5 ) @ ( u1_lattices @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl77,zip_derived_cl76]) ).
thf(zip_derived_cl408,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__4 ) )
= ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl373,zip_derived_cl351]) ).
thf(zip_derived_cl409,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__4 ) @ ( u2_lattices @ sk__4 ) @ ( u1_lattices @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl408]) ).
thf(t6_filter_2,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ! [B: $i] :
( ( l3_lattices @ B )
=> ( ( ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) )
= ( g3_lattices @ ( u1_struct_0 @ B ) @ ( u2_lattices @ B ) @ ( u1_lattices @ B ) ) )
=> ( ( k1_lattice2 @ A )
= ( k1_lattice2 @ B ) ) ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ( ( k1_lattice2 @ X1 )
= ( k1_lattice2 @ X0 ) )
| ( ( g3_lattices @ ( u1_struct_0 @ X1 ) @ ( u2_lattices @ X1 ) @ ( u1_lattices @ X1 ) )
!= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ~ ( l3_lattices @ X1 ) ),
inference(cnf,[status(esa)],[t6_filter_2]) ).
thf(zip_derived_cl1198,plain,
! [X0: $i] :
( ( ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) )
!= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ~ ( l3_lattices @ sk__4 )
| ( ( k1_lattice2 @ sk__4 )
= ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl58]) ).
thf(zip_derived_cl69_024,plain,
l3_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1254,plain,
! [X0: $i] :
( ( ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) )
!= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ( ( k1_lattice2 @ sk__4 )
= ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1198,zip_derived_cl69]) ).
thf(zip_derived_cl2155,plain,
( ( ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) )
!= ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) ) )
| ~ ( l3_lattices @ sk__5 )
| ( ( k1_lattice2 @ sk__4 )
= ( k1_lattice2 @ sk__5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl1254]) ).
thf(zip_derived_cl75_025,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2181,plain,
( ( ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) )
!= ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) ) )
| ( ( k1_lattice2 @ sk__4 )
= ( k1_lattice2 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2155,zip_derived_cl75]) ).
thf(zip_derived_cl2182,plain,
( ( k1_lattice2 @ sk__4 )
= ( k1_lattice2 @ sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2181]) ).
thf(zip_derived_cl75_026,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_027,plain,
! [X0: $i] :
( ( ( u2_lattices @ X0 )
= ( u1_lattices @ ( k1_lattice2 @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t18_lattice2]) ).
thf(zip_derived_cl89,plain,
( ( v3_struct_0 @ sk__5 )
| ( ( u2_lattices @ sk__5 )
= ( u1_lattices @ ( k1_lattice2 @ sk__5 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl51]) ).
thf(zip_derived_cl77_028,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91,plain,
( ( u2_lattices @ sk__5 )
= ( u1_lattices @ ( k1_lattice2 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl77]) ).
thf(zip_derived_cl2197,plain,
( ( u2_lattices @ sk__4 )
= ( u2_lattices @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl2182,zip_derived_cl91]) ).
thf(zip_derived_cl74,plain,
m1_filter_2 @ sk__7 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57_029,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_2 @ X0 @ X1 )
| ( m1_filter_0 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_m1_filter_2]) ).
thf(zip_derived_cl123,plain,
( ( v3_struct_0 @ sk__5 )
| ~ ( v10_lattices @ sk__5 )
| ~ ( l3_lattices @ sk__5 )
| ( m1_filter_0 @ sk__7 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl57]) ).
thf(zip_derived_cl77_030,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_031,plain,
v10_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75_032,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127,plain,
m1_filter_0 @ sk__7 @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl77,zip_derived_cl76,zip_derived_cl75]) ).
thf(zip_derived_cl29_033,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( ( u2_lattices @ ( k8_filter_0 @ X1 @ X0 ) )
= ( k1_realset1 @ ( u2_lattices @ X1 ) @ X0 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t63_filter_0]) ).
thf(zip_derived_cl306,plain,
( ( v3_struct_0 @ sk__5 )
| ~ ( v10_lattices @ sk__5 )
| ~ ( l3_lattices @ sk__5 )
| ( ( u2_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) )
= ( k1_realset1 @ ( u2_lattices @ sk__5 ) @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl29]) ).
thf(zip_derived_cl77_034,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_035,plain,
v10_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75_036,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl310,plain,
( ( u2_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) )
= ( k1_realset1 @ ( u2_lattices @ sk__5 ) @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl77,zip_derived_cl76,zip_derived_cl75]) ).
thf(zip_derived_cl2279,plain,
( ( u2_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ) )
= ( u2_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl309,zip_derived_cl2197,zip_derived_cl310]) ).
thf(zip_derived_cl126_037,plain,
m1_filter_0 @ sk__7 @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl67,zip_derived_cl68,zip_derived_cl69]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( ( u1_lattices @ ( k8_filter_0 @ X1 @ X0 ) )
= ( k1_realset1 @ ( u1_lattices @ X1 ) @ X0 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t63_filter_0]) ).
thf(zip_derived_cl278,plain,
( ( v3_struct_0 @ sk__4 )
| ~ ( v10_lattices @ sk__4 )
| ~ ( l3_lattices @ sk__4 )
| ( ( u1_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ) )
= ( k1_realset1 @ ( u1_lattices @ sk__4 ) @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl28]) ).
thf(zip_derived_cl67_038,plain,
~ ( v3_struct_0 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68_039,plain,
v10_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl69_040,plain,
l3_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl282,plain,
( ( u1_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ) )
= ( k1_realset1 @ ( u1_lattices @ sk__4 ) @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl67,zip_derived_cl68,zip_derived_cl69]) ).
thf(zip_derived_cl69_041,plain,
l3_lattices @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( ( u1_lattices @ X0 )
= ( u2_lattices @ ( k1_lattice2 @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t18_lattice2]) ).
thf(zip_derived_cl97,plain,
( ( v3_struct_0 @ sk__4 )
| ( ( u1_lattices @ sk__4 )
= ( u2_lattices @ ( k1_lattice2 @ sk__4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl52]) ).
thf(zip_derived_cl67_042,plain,
~ ( v3_struct_0 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl99,plain,
( ( u1_lattices @ sk__4 )
= ( u2_lattices @ ( k1_lattice2 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl67]) ).
thf(zip_derived_cl2182_043,plain,
( ( k1_lattice2 @ sk__4 )
= ( k1_lattice2 @ sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2181]) ).
thf(zip_derived_cl75_044,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52_045,plain,
! [X0: $i] :
( ( ( u1_lattices @ X0 )
= ( u2_lattices @ ( k1_lattice2 @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t18_lattice2]) ).
thf(zip_derived_cl98,plain,
( ( v3_struct_0 @ sk__5 )
| ( ( u1_lattices @ sk__5 )
= ( u2_lattices @ ( k1_lattice2 @ sk__5 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl52]) ).
thf(zip_derived_cl77_046,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
( ( u1_lattices @ sk__5 )
= ( u2_lattices @ ( k1_lattice2 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl77]) ).
thf(zip_derived_cl2198,plain,
( ( u1_lattices @ sk__4 )
= ( u1_lattices @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl2182,zip_derived_cl100]) ).
thf(zip_derived_cl127_047,plain,
m1_filter_0 @ sk__7 @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl77,zip_derived_cl76,zip_derived_cl75]) ).
thf(zip_derived_cl28_048,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( ( u1_lattices @ ( k8_filter_0 @ X1 @ X0 ) )
= ( k1_realset1 @ ( u1_lattices @ X1 ) @ X0 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t63_filter_0]) ).
thf(zip_derived_cl279,plain,
( ( v3_struct_0 @ sk__5 )
| ~ ( v10_lattices @ sk__5 )
| ~ ( l3_lattices @ sk__5 )
| ( ( u1_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) )
= ( k1_realset1 @ ( u1_lattices @ sk__5 ) @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl28]) ).
thf(zip_derived_cl77_049,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_050,plain,
v10_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75_051,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl283,plain,
( ( u1_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) )
= ( k1_realset1 @ ( u1_lattices @ sk__5 ) @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl279,zip_derived_cl77,zip_derived_cl76,zip_derived_cl75]) ).
thf(zip_derived_cl2313,plain,
( ( u1_lattices @ ( k8_filter_0 @ sk__4 @ sk__7 ) )
= ( u1_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl282,zip_derived_cl2198,zip_derived_cl283]) ).
thf(zip_derived_cl3529,plain,
( ( k8_filter_0 @ sk__4 @ sk__7 )
= ( g3_lattices @ sk__7 @ ( u2_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) ) @ ( u1_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl2279,zip_derived_cl2313]) ).
thf(zip_derived_cl127_052,plain,
m1_filter_0 @ sk__7 @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl77,zip_derived_cl76,zip_derived_cl75]) ).
thf(zip_derived_cl30_053,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( ( u1_struct_0 @ ( k8_filter_0 @ X1 @ X0 ) )
= X0 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t63_filter_0]) ).
thf(zip_derived_cl228,plain,
( ( v3_struct_0 @ sk__5 )
| ~ ( v10_lattices @ sk__5 )
| ~ ( l3_lattices @ sk__5 )
| ( ( u1_struct_0 @ ( k8_filter_0 @ sk__5 @ sk__7 ) )
= sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl30]) ).
thf(zip_derived_cl77_054,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_055,plain,
v10_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75_056,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl232,plain,
( ( u1_struct_0 @ ( k8_filter_0 @ sk__5 @ sk__7 ) )
= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl77,zip_derived_cl76,zip_derived_cl75]) ).
thf(zip_derived_cl3_057,plain,
! [X0: $i] :
( ~ ( v3_lattices @ X0 )
| ( X0
= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[abstractness_v3_lattices]) ).
thf(zip_derived_cl286,plain,
( ( ( k8_filter_0 @ sk__5 @ sk__7 )
= ( g3_lattices @ sk__7 @ ( u2_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) ) @ ( u1_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) ) ) )
| ~ ( l3_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) )
| ~ ( v3_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl232,zip_derived_cl3]) ).
thf(zip_derived_cl127_058,plain,
m1_filter_0 @ sk__7 @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl77,zip_derived_cl76,zip_derived_cl75]) ).
thf(zip_derived_cl46_059,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_filter_0 @ X1 @ X0 )
| ( l3_lattices @ ( k8_filter_0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k8_filter_0]) ).
thf(zip_derived_cl220,plain,
( ( l3_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) )
| ( v3_struct_0 @ sk__5 )
| ~ ( v10_lattices @ sk__5 )
| ~ ( l3_lattices @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl46]) ).
thf(zip_derived_cl77_060,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_061,plain,
v10_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75_062,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl224,plain,
l3_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl77,zip_derived_cl76,zip_derived_cl75]) ).
thf(zip_derived_cl127_063,plain,
m1_filter_0 @ sk__7 @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl77,zip_derived_cl76,zip_derived_cl75]) ).
thf(zip_derived_cl16_064,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_filter_0 @ X1 @ X0 )
| ( v3_lattices @ ( k8_filter_0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc2_filter_0]) ).
thf(zip_derived_cl212,plain,
( ( v3_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) )
| ( v3_struct_0 @ sk__5 )
| ~ ( v10_lattices @ sk__5 )
| ~ ( l3_lattices @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl16]) ).
thf(zip_derived_cl77_065,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_066,plain,
v10_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75_067,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl216,plain,
v3_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl77,zip_derived_cl76,zip_derived_cl75]) ).
thf(zip_derived_cl287,plain,
( ( k8_filter_0 @ sk__5 @ sk__7 )
= ( g3_lattices @ sk__7 @ ( u2_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) ) @ ( u1_lattices @ ( k8_filter_0 @ sk__5 @ sk__7 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl286,zip_derived_cl224,zip_derived_cl216]) ).
thf(zip_derived_cl3711,plain,
( ( k8_filter_0 @ sk__4 @ sk__7 )
= ( k8_filter_0 @ sk__5 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl3529,zip_derived_cl287]) ).
thf(zip_derived_cl73,plain,
( ( k8_filter_0 @ sk__4 @ sk__6 )
!= ( k8_filter_0 @ sk__5 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72_068,plain,
sk__6 = sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl78,plain,
( ( k8_filter_0 @ sk__4 @ sk__7 )
!= ( k8_filter_0 @ sk__5 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl72]) ).
thf(zip_derived_cl3712,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3711,zip_derived_cl78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT331+2 : TPTP v9.2.0. Released v3.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wen4GDQZix true
% 0.13/0.36 % Computer : n018.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 14:41:23 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.39/0.62 % Total configuration time : 435
% 0.39/0.62 % Estimated wc time : 1092
% 0.39/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.40/2.38 % Solved by fo/fo4.sh.
% 12.40/2.38 % done 736 iterations in 1.566s
% 12.40/2.38 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.40/2.38 % SZS output start Refutation
% See solution above
% 12.40/2.39
% 12.40/2.39
% 12.40/2.39 % Terminating...
% 12.40/2.45 % Runner terminated.
% 12.40/2.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------