TSTP Solution File: LAT313+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT313+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AlpkCdy2ui true
% Computer : n025.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 06:46:50 EDT 2023
% Result : Theorem 0.22s 0.80s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 35
% Syntax : Number of formulae : 100 ( 29 unt; 21 typ; 0 def)
% Number of atoms : 226 ( 21 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 688 ( 102 ~; 95 |; 29 &; 439 @)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 3 con; 0-3 aty)
% Number of variables : 64 ( 0 ^; 64 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(l1_lattices_type,type,
l1_lattices: $i > $o ).
thf(m2_lattice4_type,type,
m2_lattice4: $i > $i > $o ).
thf(m2_filter_2_type,type,
m2_filter_2: $i > $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(v14_lattices_type,type,
v14_lattices: $i > $o ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(v10_lattices_type,type,
v10_lattices: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(k6_lattices_type,type,
k6_lattices: $i > $i ).
thf(k19_filter_2_type,type,
k19_filter_2: $i > $i > $i ).
thf(k17_filter_2_type,type,
k17_filter_2: $i > $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(l2_lattices_type,type,
l2_lattices: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__type,type,
sk_: $i ).
thf(r1_filter_2_type,type,
r1_filter_2: $i > $i > $i > $o ).
thf(dt_l3_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i] :
( ( l1_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(dt_l1_lattices,axiom,
! [A: $i] :
( ( l1_lattices @ A )
=> ( l1_struct_0 @ A ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ( l1_struct_0 @ X0 )
| ~ ( l1_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_lattices]) ).
thf(zip_derived_cl466,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( l1_struct_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl24]) ).
thf(fc1_struct_0,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_struct_0 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_struct_0]) ).
thf(zip_derived_cl499,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl466,zip_derived_cl41]) ).
thf(redefinition_r1_filter_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( ( r1_filter_2 @ A @ B @ C )
<=> ( B = C ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ( v1_xboole_0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X1 ) )
| ( X0 = X2 )
| ~ ( r1_filter_2 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_r1_filter_2]) ).
thf(t43_filter_2,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ( ( ( v14_lattices @ A )
& ( r2_hidden @ ( k6_lattices @ A ) @ B ) )
=> ( ( r1_filter_2 @ ( u1_struct_0 @ A ) @ B @ ( k17_filter_2 @ A ) )
& ( B
= ( u1_struct_0 @ A ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ( ( ( v14_lattices @ A )
& ( r2_hidden @ ( k6_lattices @ A ) @ B ) )
=> ( ( r1_filter_2 @ ( u1_struct_0 @ A ) @ B @ ( k17_filter_2 @ A ) )
& ( B
= ( u1_struct_0 @ A ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t43_filter_2]) ).
thf(zip_derived_cl3,plain,
v14_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t42_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( ( ( v14_lattices @ A )
& ( r2_hidden @ ( k6_lattices @ A ) @ B ) )
=> ( ( r1_filter_2 @ ( u1_struct_0 @ A ) @ ( k19_filter_2 @ A @ B ) @ ( k17_filter_2 @ A ) )
& ( ( k19_filter_2 @ A @ B )
= ( u1_struct_0 @ A ) ) ) ) ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( ( k19_filter_2 @ X1 @ X0 )
= ( u1_struct_0 @ X1 ) )
| ~ ( r2_hidden @ ( k6_lattices @ X1 ) @ X0 )
| ~ ( v14_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t42_filter_2]) ).
thf(zip_derived_cl471,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( r2_hidden @ ( k6_lattices @ sk_ ) @ X0 )
| ( ( k19_filter_2 @ sk_ @ X0 )
= ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( v1_xboole_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl67]) ).
thf(zip_derived_cl0,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl645,plain,
! [X0: $i] :
( ~ ( r2_hidden @ ( k6_lattices @ sk_ ) @ X0 )
| ( ( k19_filter_2 @ sk_ @ X0 )
= ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( v1_xboole_0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl471,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl646,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( ( k19_filter_2 @ sk_ @ X0 )
= ( u1_struct_0 @ sk_ ) )
| ~ ( r2_hidden @ ( k6_lattices @ sk_ ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl645,zip_derived_cl71]) ).
thf(zip_derived_cl6,plain,
m2_filter_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t38_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ( r1_filter_2 @ ( u1_struct_0 @ A ) @ ( k19_filter_2 @ A @ B ) @ B ) ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_filter_2 @ X0 @ X1 )
| ( r1_filter_2 @ ( u1_struct_0 @ X1 ) @ ( k19_filter_2 @ X1 @ X0 ) @ X0 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t38_filter_2]) ).
thf(zip_derived_cl482,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( r1_filter_2 @ ( u1_struct_0 @ sk_ ) @ ( k19_filter_2 @ sk_ @ sk__1 ) @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl63]) ).
thf(zip_derived_cl0_001,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_002,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_003,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl635,plain,
r1_filter_2 @ ( u1_struct_0 @ sk_ ) @ ( k19_filter_2 @ sk_ @ sk__1 ) @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl482,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl648,plain,
( ( r1_filter_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ sk__1 )
| ~ ( r2_hidden @ ( k6_lattices @ sk_ ) @ sk__1 )
| ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl646,zip_derived_cl635]) ).
thf(zip_derived_cl4,plain,
r2_hidden @ ( k6_lattices @ sk_ ) @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl650,plain,
( ( r1_filter_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ sk__1 )
| ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl648,zip_derived_cl4]) ).
thf(zip_derived_cl653,plain,
( ( ( u1_struct_0 @ sk_ )
= sk__1 )
| ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ ( u1_struct_0 @ sk_ ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl650]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ) ).
thf(zip_derived_cl59,plain,
! [X0: $i] : ( r1_tarski @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i] :
( ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( r1_tarski @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl468,plain,
! [X0: $i] : ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl65]) ).
thf(zip_derived_cl654,plain,
( ( ( u1_struct_0 @ sk_ )
= sk__1 )
| ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl653,zip_derived_cl468]) ).
thf(zip_derived_cl655,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( ( u1_struct_0 @ sk_ )
= sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl654]) ).
thf(d8_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ( k17_filter_2 @ A )
= ( u1_struct_0 @ A ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( ( k17_filter_2 @ X0 )
= ( u1_struct_0 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[d8_filter_2]) ).
thf(zip_derived_cl5,plain,
( ~ ( r1_filter_2 @ ( u1_struct_0 @ sk_ ) @ sk__1 @ ( k17_filter_2 @ sk_ ) )
| ( sk__1
!= ( u1_struct_0 @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl523,plain,
( ~ ( r1_filter_2 @ sk__1 @ sk__1 @ ( k17_filter_2 @ sk_ ) )
| ( sk__1
!= ( u1_struct_0 @ sk_ ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl530,plain,
( ~ ( r1_filter_2 @ sk__1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( sk__1
!= ( u1_struct_0 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl523]) ).
thf(zip_derived_cl0_004,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_005,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_006,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl531,plain,
( ~ ( r1_filter_2 @ sk__1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
| ( sk__1
!= ( u1_struct_0 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl530,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl532,plain,
( ~ ( r1_filter_2 @ sk__1 @ sk__1 @ sk__1 )
| ( sk__1
!= ( u1_struct_0 @ sk_ ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl531]) ).
thf(reflexivity_r1_filter_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
=> ( r1_filter_2 @ A @ B @ B ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1_filter_2 @ X0 @ X1 @ X1 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X0 ) )
| ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X0 ) ) ),
inference(cnf,[status(esa)],[reflexivity_r1_filter_2]) ).
thf(zip_derived_cl565,plain,
! [X0: $i,X1: $i] :
( ( r1_filter_2 @ X1 @ X0 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ( v1_xboole_0 @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl567,plain,
( ( sk__1
!= ( u1_struct_0 @ sk_ ) )
| ( v1_xboole_0 @ sk__1 )
| ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl532,zip_derived_cl565]) ).
thf(zip_derived_cl4_007,plain,
r2_hidden @ ( k6_lattices @ sk_ ) @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71_008,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl515,plain,
~ ( v1_xboole_0 @ sk__1 ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl71]) ).
thf(zip_derived_cl468_009,plain,
! [X0: $i] : ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl65]) ).
thf(zip_derived_cl568,plain,
( sk__1
!= ( u1_struct_0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl567,zip_derived_cl515,zip_derived_cl468]) ).
thf(zip_derived_cl656,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl655,zip_derived_cl568]) ).
thf(zip_derived_cl6_010,plain,
m2_filter_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_m2_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ( ~ ( v1_xboole_0 @ B )
& ( m2_lattice4 @ B @ A ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_filter_2 @ X0 @ X1 )
| ( m2_lattice4 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m2_filter_2]) ).
thf(dt_m2_lattice4,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_lattice4 @ B @ A )
=> ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_lattice4 @ X0 @ X1 )
| ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m2_lattice4]) ).
thf(zip_derived_cl478,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( l3_lattices @ X0 )
| ~ ( m2_filter_2 @ X1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( l3_lattices @ X0 )
| ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl32]) ).
thf(zip_derived_cl483,plain,
( ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ~ ( l3_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl478]) ).
thf(zip_derived_cl747,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl483]) ).
thf(zip_derived_cl0_011,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_012,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_013,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl748,plain,
m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl747,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl750,plain,
v1_xboole_0 @ ( u1_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl656,zip_derived_cl748]) ).
thf(zip_derived_cl763,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl499,zip_derived_cl750]) ).
thf(zip_derived_cl0_014,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_015,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl764,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl763,zip_derived_cl0,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT313+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AlpkCdy2ui true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 04:44:36 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.22/0.62 % Total configuration time : 435
% 0.22/0.62 % Estimated wc time : 1092
% 0.22/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.80 % Solved by fo/fo3_bce.sh.
% 0.22/0.80 % BCE start: 73
% 0.22/0.80 % BCE eliminated: 1
% 0.22/0.80 % PE start: 72
% 0.22/0.80 logic: eq
% 0.22/0.80 % PE eliminated: -1
% 0.22/0.80 % done 127 iterations in 0.065s
% 0.22/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.80 % SZS output start Refutation
% See solution above
% 0.22/0.80
% 0.22/0.80
% 0.22/0.80 % Terminating...
% 1.41/0.87 % Runner terminated.
% 1.41/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------