TSTP Solution File: LAT331+4 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT331+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.T0VOXr6Ekj true
% Computer : n023.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 Aug 31 06:47:01 EDT 2023
% Result : Theorem 27.14s 4.48s
% Output : Refutation 27.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 32
% Syntax : Number of formulae : 178 ( 100 unt; 23 typ; 0 def)
% Number of atoms : 340 ( 84 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 1088 ( 122 ~; 125 |; 37 &; 781 @)
% ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 5 con; 0-3 aty)
% Number of variables : 57 ( 0 ^; 57 !; 0 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(v10_lattices_type,type,
v10_lattices: $i > $o ).
thf(v6_lattices_type,type,
v6_lattices: $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(v5_lattices_type,type,
v5_lattices: $i > $o ).
thf(g3_lattices_type,type,
g3_lattices: $i > $i > $i > $i ).
thf(v8_lattices_type,type,
v8_lattices: $i > $o ).
thf(m1_filter_0_type,type,
m1_filter_0: $i > $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(k8_filter_0_type,type,
k8_filter_0: $i > $i > $i ).
thf(m1_filter_2_type,type,
m1_filter_2: $i > $i > $o ).
thf(k1_lattice2_type,type,
k1_lattice2: $i > $i ).
thf(v4_lattices_type,type,
v4_lattices: $i > $o ).
thf(u2_lattices_type,type,
u2_lattices: $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(v9_lattices_type,type,
v9_lattices: $i > $o ).
thf(v3_lattices_type,type,
v3_lattices: $i > $o ).
thf(k1_realset1_type,type,
k1_realset1: $i > $i > $i ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(u1_lattices_type,type,
u1_lattices: $i > $i ).
thf(v7_lattices_type,type,
v7_lattices: $i > $o ).
thf(sk__6_type,type,
sk__6: $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_cl95,plain,
m1_filter_2 @ sk__8 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97,plain,
sk__8 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl104,plain,
m1_filter_2 @ sk__9 @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl97]) ).
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_cl82,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_cl147,plain,
( ( v3_struct_0 @ sk__6 )
| ~ ( v10_lattices @ sk__6 )
| ~ ( l3_lattices @ sk__6 )
| ( m1_filter_0 @ sk__9 @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl82]) ).
thf(zip_derived_cl92,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93,plain,
v10_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl151,plain,
m1_filter_0 @ sk__9 @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl92,zip_derived_cl93,zip_derived_cl94]) ).
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_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_cl454,plain,
( ( v3_struct_0 @ sk__6 )
| ~ ( v10_lattices @ sk__6 )
| ~ ( l3_lattices @ sk__6 )
| ( ( u1_lattices @ ( k8_filter_0 @ sk__6 @ sk__9 ) )
= ( k1_realset1 @ ( u1_lattices @ sk__6 ) @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl28]) ).
thf(zip_derived_cl92_001,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93_002,plain,
v10_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94_003,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl458,plain,
( ( u1_lattices @ ( k8_filter_0 @ sk__6 @ sk__9 ) )
= ( k1_realset1 @ ( u1_lattices @ sk__6 ) @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl454,zip_derived_cl92,zip_derived_cl93,zip_derived_cl94]) ).
thf(zip_derived_cl94_004,plain,
l3_lattices @ sk__6,
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_cl58,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_cl122,plain,
( ( v3_struct_0 @ sk__6 )
| ( ( u1_lattices @ sk__6 )
= ( u2_lattices @ ( k1_lattice2 @ sk__6 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl58]) ).
thf(zip_derived_cl92_005,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl124,plain,
( ( u1_lattices @ sk__6 )
= ( u2_lattices @ ( k1_lattice2 @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl92]) ).
thf(zip_derived_cl100,plain,
l3_lattices @ sk__7,
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_cl84,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_cl559,plain,
( ( v3_struct_0 @ sk__7 )
| ~ ( v10_lattices @ sk__7 )
| ( ( k1_lattice2 @ ( k1_lattice2 @ sk__7 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__7 ) @ ( u2_lattices @ sk__7 ) @ ( u1_lattices @ sk__7 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl84]) ).
thf(zip_derived_cl102,plain,
~ ( v3_struct_0 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101,plain,
v10_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl565,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__7 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__7 ) @ ( u2_lattices @ sk__7 ) @ ( u1_lattices @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl559,zip_derived_cl102,zip_derived_cl101]) ).
thf(zip_derived_cl94_006,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84_007,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_cl558,plain,
( ( v3_struct_0 @ sk__6 )
| ~ ( v10_lattices @ sk__6 )
| ( ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__6 ) @ ( u2_lattices @ sk__6 ) @ ( u1_lattices @ sk__6 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl84]) ).
thf(zip_derived_cl92_008,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93_009,plain,
v10_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl564,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__6 ) @ ( u2_lattices @ sk__6 ) @ ( u1_lattices @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl558,zip_derived_cl92,zip_derived_cl93]) ).
thf(zip_derived_cl96,plain,
( ( g3_lattices @ ( u1_struct_0 @ sk__6 ) @ ( u2_lattices @ sk__6 ) @ ( u1_lattices @ sk__6 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__7 ) @ ( u2_lattices @ sk__7 ) @ ( u1_lattices @ sk__7 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl564_010,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__6 ) @ ( u2_lattices @ sk__6 ) @ ( u1_lattices @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl558,zip_derived_cl92,zip_derived_cl93]) ).
thf(zip_derived_cl630,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__7 ) @ ( u2_lattices @ sk__7 ) @ ( u1_lattices @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl564]) ).
thf(zip_derived_cl565_011,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__7 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__7 ) @ ( u2_lattices @ sk__7 ) @ ( u1_lattices @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl559,zip_derived_cl102,zip_derived_cl101]) ).
thf(zip_derived_cl654,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) )
= ( k1_lattice2 @ ( k1_lattice2 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl630,zip_derived_cl565]) ).
thf(zip_derived_cl655,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__7 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__6 ) @ ( u2_lattices @ sk__6 ) @ ( u1_lattices @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl564,zip_derived_cl654]) ).
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_cl83,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_cl1738,plain,
! [X0: $i] :
( ( ( k1_lattice2 @ ( k1_lattice2 @ sk__7 ) )
!= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ~ ( l3_lattices @ sk__6 )
| ( ( k1_lattice2 @ sk__6 )
= ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl655,zip_derived_cl83]) ).
thf(zip_derived_cl94_012,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1794,plain,
! [X0: $i] :
( ( ( k1_lattice2 @ ( k1_lattice2 @ sk__7 ) )
!= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ( ( k1_lattice2 @ sk__6 )
= ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl94]) ).
thf(zip_derived_cl1846,plain,
( ( ( k1_lattice2 @ ( k1_lattice2 @ sk__7 ) )
!= ( k1_lattice2 @ ( k1_lattice2 @ sk__7 ) ) )
| ~ ( l3_lattices @ sk__7 )
| ( ( k1_lattice2 @ sk__6 )
= ( k1_lattice2 @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl1794]) ).
thf(zip_derived_cl100_013,plain,
l3_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1872,plain,
( ( ( k1_lattice2 @ ( k1_lattice2 @ sk__7 ) )
!= ( k1_lattice2 @ ( k1_lattice2 @ sk__7 ) ) )
| ( ( k1_lattice2 @ sk__6 )
= ( k1_lattice2 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1846,zip_derived_cl100]) ).
thf(zip_derived_cl1873,plain,
( ( k1_lattice2 @ sk__6 )
= ( k1_lattice2 @ sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1872]) ).
thf(zip_derived_cl100_014,plain,
l3_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58_015,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_cl123,plain,
( ( v3_struct_0 @ sk__7 )
| ( ( u1_lattices @ sk__7 )
= ( u2_lattices @ ( k1_lattice2 @ sk__7 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl58]) ).
thf(zip_derived_cl102_016,plain,
~ ( v3_struct_0 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl125,plain,
( ( u1_lattices @ sk__7 )
= ( u2_lattices @ ( k1_lattice2 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl102]) ).
thf(zip_derived_cl1889,plain,
( ( u1_lattices @ sk__6 )
= ( u1_lattices @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl1873,zip_derived_cl125]) ).
thf(zip_derived_cl99,plain,
m1_filter_2 @ sk__9 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82_017,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_cl148,plain,
( ( v3_struct_0 @ sk__7 )
| ~ ( v10_lattices @ sk__7 )
| ~ ( l3_lattices @ sk__7 )
| ( m1_filter_0 @ sk__9 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl82]) ).
thf(zip_derived_cl102_018,plain,
~ ( v3_struct_0 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_019,plain,
v10_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100_020,plain,
l3_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl152,plain,
m1_filter_0 @ sk__9 @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl102,zip_derived_cl101,zip_derived_cl100]) ).
thf(zip_derived_cl28_021,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_cl455,plain,
( ( v3_struct_0 @ sk__7 )
| ~ ( v10_lattices @ sk__7 )
| ~ ( l3_lattices @ sk__7 )
| ( ( u1_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) )
= ( k1_realset1 @ ( u1_lattices @ sk__7 ) @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl28]) ).
thf(zip_derived_cl102_022,plain,
~ ( v3_struct_0 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_023,plain,
v10_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100_024,plain,
l3_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl459,plain,
( ( u1_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) )
= ( k1_realset1 @ ( u1_lattices @ sk__7 ) @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl455,zip_derived_cl102,zip_derived_cl101,zip_derived_cl100]) ).
thf(zip_derived_cl1985,plain,
( ( u1_lattices @ ( k8_filter_0 @ sk__6 @ sk__9 ) )
= ( u1_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl458,zip_derived_cl1889,zip_derived_cl459]) ).
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_cl2281,plain,
( ( ( k8_filter_0 @ sk__6 @ sk__9 )
= ( g3_lattices @ ( u1_struct_0 @ ( k8_filter_0 @ sk__6 @ sk__9 ) ) @ ( u2_lattices @ ( k8_filter_0 @ sk__6 @ sk__9 ) ) @ ( u1_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) ) ) )
| ~ ( l3_lattices @ ( k8_filter_0 @ sk__6 @ sk__9 ) )
| ~ ( v3_lattices @ ( k8_filter_0 @ sk__6 @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1985,zip_derived_cl3]) ).
thf(zip_derived_cl151_025,plain,
m1_filter_0 @ sk__9 @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl92,zip_derived_cl93,zip_derived_cl94]) ).
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_cl252,plain,
( ( v3_struct_0 @ sk__6 )
| ~ ( v10_lattices @ sk__6 )
| ~ ( l3_lattices @ sk__6 )
| ( ( u1_struct_0 @ ( k8_filter_0 @ sk__6 @ sk__9 ) )
= sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl30]) ).
thf(zip_derived_cl92_026,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93_027,plain,
v10_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94_028,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl256,plain,
( ( u1_struct_0 @ ( k8_filter_0 @ sk__6 @ sk__9 ) )
= sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl92,zip_derived_cl93,zip_derived_cl94]) ).
thf(zip_derived_cl151_029,plain,
m1_filter_0 @ sk__9 @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl92,zip_derived_cl93,zip_derived_cl94]) ).
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_cl462,plain,
( ( v3_struct_0 @ sk__6 )
| ~ ( v10_lattices @ sk__6 )
| ~ ( l3_lattices @ sk__6 )
| ( ( u2_lattices @ ( k8_filter_0 @ sk__6 @ sk__9 ) )
= ( k1_realset1 @ ( u2_lattices @ sk__6 ) @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl29]) ).
thf(zip_derived_cl92_030,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93_031,plain,
v10_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94_032,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl466,plain,
( ( u2_lattices @ ( k8_filter_0 @ sk__6 @ sk__9 ) )
= ( k1_realset1 @ ( u2_lattices @ sk__6 ) @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl462,zip_derived_cl92,zip_derived_cl93,zip_derived_cl94]) ).
thf(zip_derived_cl94_033,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,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_cl113,plain,
( ( v3_struct_0 @ sk__6 )
| ( ( u2_lattices @ sk__6 )
= ( u1_lattices @ ( k1_lattice2 @ sk__6 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl57]) ).
thf(zip_derived_cl92_034,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl115,plain,
( ( u2_lattices @ sk__6 )
= ( u1_lattices @ ( k1_lattice2 @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl92]) ).
thf(zip_derived_cl1873_035,plain,
( ( k1_lattice2 @ sk__6 )
= ( k1_lattice2 @ sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1872]) ).
thf(zip_derived_cl100_036,plain,
l3_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57_037,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_cl114,plain,
( ( v3_struct_0 @ sk__7 )
| ( ( u2_lattices @ sk__7 )
= ( u1_lattices @ ( k1_lattice2 @ sk__7 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl57]) ).
thf(zip_derived_cl102_038,plain,
~ ( v3_struct_0 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116,plain,
( ( u2_lattices @ sk__7 )
= ( u1_lattices @ ( k1_lattice2 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl102]) ).
thf(zip_derived_cl1888,plain,
( ( u2_lattices @ sk__6 )
= ( u2_lattices @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl1873,zip_derived_cl116]) ).
thf(zip_derived_cl152_039,plain,
m1_filter_0 @ sk__9 @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl102,zip_derived_cl101,zip_derived_cl100]) ).
thf(zip_derived_cl29_040,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_cl463,plain,
( ( v3_struct_0 @ sk__7 )
| ~ ( v10_lattices @ sk__7 )
| ~ ( l3_lattices @ sk__7 )
| ( ( u2_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) )
= ( k1_realset1 @ ( u2_lattices @ sk__7 ) @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl29]) ).
thf(zip_derived_cl102_041,plain,
~ ( v3_struct_0 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_042,plain,
v10_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100_043,plain,
l3_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl467,plain,
( ( u2_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) )
= ( k1_realset1 @ ( u2_lattices @ sk__7 ) @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl463,zip_derived_cl102,zip_derived_cl101,zip_derived_cl100]) ).
thf(zip_derived_cl1960,plain,
( ( u2_lattices @ ( k8_filter_0 @ sk__6 @ sk__9 ) )
= ( u2_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl466,zip_derived_cl1888,zip_derived_cl467]) ).
thf(zip_derived_cl152_044,plain,
m1_filter_0 @ sk__9 @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl102,zip_derived_cl101,zip_derived_cl100]) ).
thf(zip_derived_cl30_045,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_cl253,plain,
( ( v3_struct_0 @ sk__7 )
| ~ ( v10_lattices @ sk__7 )
| ~ ( l3_lattices @ sk__7 )
| ( ( u1_struct_0 @ ( k8_filter_0 @ sk__7 @ sk__9 ) )
= sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl30]) ).
thf(zip_derived_cl102_046,plain,
~ ( v3_struct_0 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_047,plain,
v10_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100_048,plain,
l3_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl257,plain,
( ( u1_struct_0 @ ( k8_filter_0 @ sk__7 @ sk__9 ) )
= sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl253,zip_derived_cl102,zip_derived_cl101,zip_derived_cl100]) ).
thf(zip_derived_cl3_049,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_cl371,plain,
( ( ( k8_filter_0 @ sk__7 @ sk__9 )
= ( g3_lattices @ sk__9 @ ( u2_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) ) @ ( u1_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) ) ) )
| ~ ( l3_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) )
| ~ ( v3_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl257,zip_derived_cl3]) ).
thf(zip_derived_cl152_050,plain,
m1_filter_0 @ sk__9 @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl102,zip_derived_cl101,zip_derived_cl100]) ).
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_cl52,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_cl245,plain,
( ( l3_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) )
| ( v3_struct_0 @ sk__7 )
| ~ ( v10_lattices @ sk__7 )
| ~ ( l3_lattices @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl52]) ).
thf(zip_derived_cl102_051,plain,
~ ( v3_struct_0 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_052,plain,
v10_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100_053,plain,
l3_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl249,plain,
l3_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl102,zip_derived_cl101,zip_derived_cl100]) ).
thf(zip_derived_cl152_054,plain,
m1_filter_0 @ sk__9 @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl102,zip_derived_cl101,zip_derived_cl100]) ).
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_cl237,plain,
( ( v3_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) )
| ( v3_struct_0 @ sk__7 )
| ~ ( v10_lattices @ sk__7 )
| ~ ( l3_lattices @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl16]) ).
thf(zip_derived_cl102_055,plain,
~ ( v3_struct_0 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_056,plain,
v10_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100_057,plain,
l3_lattices @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl241,plain,
v3_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl102,zip_derived_cl101,zip_derived_cl100]) ).
thf(zip_derived_cl374,plain,
( ( k8_filter_0 @ sk__7 @ sk__9 )
= ( g3_lattices @ sk__9 @ ( u2_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) ) @ ( u1_lattices @ ( k8_filter_0 @ sk__7 @ sk__9 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl371,zip_derived_cl249,zip_derived_cl241]) ).
thf(zip_derived_cl151_058,plain,
m1_filter_0 @ sk__9 @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl92,zip_derived_cl93,zip_derived_cl94]) ).
thf(zip_derived_cl52_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_cl244,plain,
( ( l3_lattices @ ( k8_filter_0 @ sk__6 @ sk__9 ) )
| ( v3_struct_0 @ sk__6 )
| ~ ( v10_lattices @ sk__6 )
| ~ ( l3_lattices @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl52]) ).
thf(zip_derived_cl92_060,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93_061,plain,
v10_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94_062,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl248,plain,
l3_lattices @ ( k8_filter_0 @ sk__6 @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl92,zip_derived_cl93,zip_derived_cl94]) ).
thf(zip_derived_cl151_063,plain,
m1_filter_0 @ sk__9 @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl92,zip_derived_cl93,zip_derived_cl94]) ).
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_cl236,plain,
( ( v3_lattices @ ( k8_filter_0 @ sk__6 @ sk__9 ) )
| ( v3_struct_0 @ sk__6 )
| ~ ( v10_lattices @ sk__6 )
| ~ ( l3_lattices @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl16]) ).
thf(zip_derived_cl92_065,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93_066,plain,
v10_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94_067,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl240,plain,
v3_lattices @ ( k8_filter_0 @ sk__6 @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl92,zip_derived_cl93,zip_derived_cl94]) ).
thf(zip_derived_cl2294,plain,
( ( k8_filter_0 @ sk__6 @ sk__9 )
= ( k8_filter_0 @ sk__7 @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl2281,zip_derived_cl256,zip_derived_cl1960,zip_derived_cl374,zip_derived_cl248,zip_derived_cl240]) ).
thf(zip_derived_cl98,plain,
( ( k8_filter_0 @ sk__6 @ sk__8 )
!= ( k8_filter_0 @ sk__7 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97_068,plain,
sk__8 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl103,plain,
( ( k8_filter_0 @ sk__6 @ sk__9 )
!= ( k8_filter_0 @ sk__7 @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl97]) ).
thf(zip_derived_cl2295,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2294,zip_derived_cl103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LAT331+4 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.T0VOXr6Ekj true
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 06:21:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 27.14/4.48 % Solved by fo/fo4.sh.
% 27.14/4.48 % done 533 iterations in 3.675s
% 27.14/4.48 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 27.14/4.48 % SZS output start Refutation
% See solution above
% 27.14/4.48
% 27.14/4.48
% 27.14/4.48 % Terminating...
% 27.85/4.58 % Runner terminated.
% 27.85/4.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------