TSTP Solution File: LAT302+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT302+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.fIOtlrNUBP true
% Computer : n008.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 06:46:44 EDT 2023
% Result : Theorem 6.34s 1.59s
% Output : Refutation 6.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 42
% Syntax : Number of formulae : 126 ( 32 unt; 27 typ; 0 def)
% Number of atoms : 281 ( 8 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 818 ( 110 ~; 124 |; 36 &; 526 @)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 31 ( 31 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 0 ^; 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(v13_lattices_type,type,
v13_lattices: $i > $o ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(k6_lattices_type,type,
k6_lattices: $i > $i ).
thf(k1_lattice2_type,type,
k1_lattice2: $i > $i ).
thf(v3_lattices_type,type,
v3_lattices: $i > $o ).
thf(v14_lattices_type,type,
v14_lattices: $i > $o ).
thf(v6_lattices_type,type,
v6_lattices: $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v9_lattices_type,type,
v9_lattices: $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(l2_lattices_type,type,
l2_lattices: $i > $o ).
thf(k6_domain_1_type,type,
k6_domain_1: $i > $i > $i ).
thf(v10_lattices_type,type,
v10_lattices: $i > $o ).
thf(v4_lattices_type,type,
v4_lattices: $i > $o ).
thf(l1_lattices_type,type,
l1_lattices: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(m1_filter_0_type,type,
m1_filter_0: $i > $i > $o ).
thf(v5_lattices_type,type,
v5_lattices: $i > $o ).
thf(m1_filter_2_type,type,
m1_filter_2: $i > $i > $o ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(v7_lattices_type,type,
v7_lattices: $i > $o ).
thf(k1_tarski_type,type,
k1_tarski: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(v8_lattices_type,type,
v8_lattices: $i > $o ).
thf(k5_lattices_type,type,
k5_lattices: $i > $i ).
thf(m2_filter_2_type,type,
m2_filter_2: $i > $i > $o ).
thf(dt_l3_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ) ).
thf(zip_derived_cl42,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_cl39,plain,
! [X0: $i] :
( ( l1_struct_0 @ X0 )
| ~ ( l1_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_lattices]) ).
thf(zip_derived_cl1505,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( l1_struct_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(dt_k1_lattice2,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( v3_lattices @ ( k1_lattice2 @ A ) )
& ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice2]) ).
thf(zip_derived_cl1505_001,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( l1_struct_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(redefinition_k6_domain_1,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( m1_subset_1 @ B @ A ) )
=> ( ( k6_domain_1 @ A @ B )
= ( k1_tarski @ B ) ) ) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ X0 )
| ( ( k6_domain_1 @ X0 @ X1 )
= ( k1_tarski @ X1 ) ) ),
inference(cnf,[status(esa)],[redefinition_k6_domain_1]) ).
thf(fc6_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
& ( v3_lattices @ ( k1_lattice2 @ A ) )
& ( v4_lattices @ ( k1_lattice2 @ A ) )
& ( v5_lattices @ ( k1_lattice2 @ A ) )
& ( v6_lattices @ ( k1_lattice2 @ A ) )
& ( v7_lattices @ ( k1_lattice2 @ A ) )
& ( v8_lattices @ ( k1_lattice2 @ A ) )
& ( v9_lattices @ ( k1_lattice2 @ A ) )
& ( v10_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl112,plain,
! [X0: $i] :
( ( v10_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc6_lattice2]) ).
thf(zip_derived_cl31_002,plain,
! [X0: $i] :
( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice2]) ).
thf(t26_filter_2,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ( v13_lattices @ A )
=> ( m2_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ A ) @ ( k5_lattices @ A ) ) @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ( v13_lattices @ A )
=> ( m2_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ A ) @ ( k5_lattices @ A ) ) @ A ) ) ),
inference('cnf.neg',[status(esa)],[t26_filter_2]) ).
thf(zip_derived_cl4,plain,
v13_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t78_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v13_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ( k5_lattices @ A )
= ( k6_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl186,plain,
! [X0: $i] :
( ( ( k5_lattices @ X0 )
= ( k6_lattices @ ( k1_lattice2 @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v13_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t78_lattice2]) ).
thf(zip_derived_cl1205,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( ( k5_lattices @ sk_ )
= ( k6_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl186]) ).
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_cl2272,plain,
( ( k5_lattices @ sk_ )
= ( k6_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1205,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(t13_filter_0,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v14_lattices @ A )
& ( l3_lattices @ A ) )
=> ( m1_filter_0 @ ( k6_domain_1 @ ( u1_struct_0 @ A ) @ ( k6_lattices @ A ) ) @ A ) ) ) ).
thf(zip_derived_cl174,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( v14_lattices @ X0 )
| ~ ( l3_lattices @ X0 )
| ( m1_filter_0 @ ( k6_domain_1 @ ( u1_struct_0 @ X0 ) @ ( k6_lattices @ X0 ) ) @ X0 )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t13_filter_0]) ).
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_cl169,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( m1_filter_2 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_m1_filter_2]) ).
thf(zip_derived_cl1190,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( l3_lattices @ X0 )
| ~ ( l3_lattices @ X0 )
| ~ ( v14_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( l3_lattices @ X0 )
| ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ X0 ) @ ( k6_lattices @ X0 ) ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl174,zip_derived_cl169]) ).
thf(zip_derived_cl2455,plain,
! [X0: $i] :
( ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ X0 ) @ ( k6_lattices @ X0 ) ) @ X0 )
| ~ ( v14_lattices @ X0 )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1190]) ).
thf(zip_derived_cl2464,plain,
( ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ ( k5_lattices @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ~ ( v14_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2272,zip_derived_cl2455]) ).
thf(zip_derived_cl4_003,plain,
v13_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t63_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ( v13_lattices @ A )
<=> ( v14_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl184,plain,
! [X0: $i] :
( ~ ( v13_lattices @ X0 )
| ( v14_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t63_lattice2]) ).
thf(zip_derived_cl1204,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( v14_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl184]) ).
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_cl2157,plain,
v14_lattices @ ( k1_lattice2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1204,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl2468,plain,
( ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ ( k5_lattices @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2464,zip_derived_cl2157]) ).
thf(zip_derived_cl2687,plain,
( ~ ( l3_lattices @ sk_ )
| ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ ( k5_lattices @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl2468]) ).
thf(zip_derived_cl2_007,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2690,plain,
( ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ ( k5_lattices @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2687,zip_derived_cl2]) ).
thf(zip_derived_cl2704,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ ( k5_lattices @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl2690]) ).
thf(zip_derived_cl0_008,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_009,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_010,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2707,plain,
( ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ ( k5_lattices @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2704,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl3118,plain,
( ~ ( m1_subset_1 @ ( k5_lattices @ sk_ ) @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ( m1_filter_2 @ ( k1_tarski @ ( k5_lattices @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl2707]) ).
thf(zip_derived_cl31_011,plain,
! [X0: $i] :
( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice2]) ).
thf(zip_derived_cl2272_012,plain,
( ( k5_lattices @ sk_ )
= ( k6_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1205,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( l2_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(dt_k6_lattices,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l2_lattices @ A ) )
=> ( m1_subset_1 @ ( k6_lattices @ A ) @ ( u1_struct_0 @ A ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ( m1_subset_1 @ ( k6_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l2_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k6_lattices]) ).
thf(zip_derived_cl1541,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ( m1_subset_1 @ ( k6_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl38]) ).
thf(zip_derived_cl2774,plain,
( ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_subset_1 @ ( k5_lattices @ sk_ ) @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2272,zip_derived_cl1541]) ).
thf(zip_derived_cl2780,plain,
( ~ ( l3_lattices @ sk_ )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_subset_1 @ ( k5_lattices @ sk_ ) @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl2774]) ).
thf(zip_derived_cl2_013,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2783,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_subset_1 @ ( k5_lattices @ sk_ ) @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2780,zip_derived_cl2]) ).
thf(zip_derived_cl3533,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_filter_2 @ ( k1_tarski @ ( k5_lattices @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3118,zip_derived_cl2783]) ).
thf(zip_derived_cl42_014,plain,
! [X0: $i] :
( ( l1_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(dt_k5_lattices,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_lattices @ A ) )
=> ( m1_subset_1 @ ( k5_lattices @ A ) @ ( u1_struct_0 @ A ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( m1_subset_1 @ ( k5_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k5_lattices]) ).
thf(zip_derived_cl1504,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ( m1_subset_1 @ ( k5_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl36]) ).
thf(zip_derived_cl168_015,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ X0 )
| ( ( k6_domain_1 @ X0 @ X1 )
= ( k1_tarski @ X1 ) ) ),
inference(cnf,[status(esa)],[redefinition_k6_domain_1]) ).
thf(t21_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
<=> ( m1_filter_2 @ B @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl176,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_2 @ X0 @ ( k1_lattice2 @ X1 ) )
| ( m2_filter_2 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t21_filter_2]) ).
thf(zip_derived_cl3,plain,
~ ( m2_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ sk_ ) @ ( k5_lattices @ sk_ ) ) @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1178,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ sk_ ) @ ( k5_lattices @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl176,zip_derived_cl3]) ).
thf(zip_derived_cl0_016,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_017,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_018,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2213,plain,
~ ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ sk_ ) @ ( k5_lattices @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1178,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl2218,plain,
( ~ ( m1_subset_1 @ ( k5_lattices @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_filter_2 @ ( k1_tarski @ ( k5_lattices @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl2213]) ).
thf(zip_derived_cl2906,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_filter_2 @ ( k1_tarski @ ( k5_lattices @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1504,zip_derived_cl2218]) ).
thf(zip_derived_cl0_019,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_020,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2909,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_filter_2 @ ( k1_tarski @ ( k5_lattices @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2906,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl3537,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3533,zip_derived_cl2909]) ).
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_cl74,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_cl3554,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( l1_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3537,zip_derived_cl74]) ).
thf(zip_derived_cl3570,plain,
( ~ ( l1_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3554]) ).
thf(zip_derived_cl3583,plain,
( ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl3570]) ).
thf(zip_derived_cl3586,plain,
( ~ ( l3_lattices @ sk_ )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl3583]) ).
thf(zip_derived_cl2_021,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3589,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3586,zip_derived_cl2]) ).
thf(fc1_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
& ( v3_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i] :
( ~ ( v3_struct_0 @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_lattice2]) ).
thf(zip_derived_cl3596,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( l3_lattices @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3589,zip_derived_cl72]) ).
thf(zip_derived_cl2_022,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_023,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3599,plain,
v1_xboole_0 @ ( u1_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl3596,zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl74_024,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_cl3604,plain,
( ~ ( l1_struct_0 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3599,zip_derived_cl74]) ).
thf(zip_derived_cl0_025,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3613,plain,
~ ( l1_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl3604,zip_derived_cl0]) ).
thf(zip_derived_cl3727,plain,
~ ( l3_lattices @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl1505,zip_derived_cl3613]) ).
thf(zip_derived_cl2_026,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3728,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3727,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT302+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.fIOtlrNUBP true
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 05:32:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /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
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 6.34/1.59 % Solved by fo/fo6_bce.sh.
% 6.34/1.59 % BCE start: 189
% 6.34/1.59 % BCE eliminated: 11
% 6.34/1.59 % PE start: 178
% 6.34/1.59 logic: eq
% 6.34/1.59 % PE eliminated: -8
% 6.34/1.59 % done 583 iterations in 0.854s
% 6.34/1.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.34/1.59 % SZS output start Refutation
% See solution above
% 6.34/1.59
% 6.34/1.59
% 6.34/1.59 % Terminating...
% 7.20/1.67 % Runner terminated.
% 7.20/1.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------