TSTP Solution File: LAT329+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LAT329+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n013.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 : 600s
% DateTime : Sun Jul 17 05:24:38 EDT 2022
% Result : Theorem 264.06s 264.23s
% Output : CNFRefutation 264.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 90
% Syntax : Number of formulae : 821 ( 121 unt; 0 def)
% Number of atoms : 3965 ( 95 equ)
% Maximal formula atoms : 31 ( 4 avg)
% Number of connectives : 5529 (2385 ~;2778 |; 228 &)
% ( 20 <=>; 118 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 24 usr; 2 prp; 0-3 aty)
% Number of functors : 47 ( 47 usr; 18 con; 0-3 aty)
% Number of variables : 1548 ( 34 sgn 280 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ( r1_filter_2(X1,X2,X3)
<=> ! [X4] :
( m1_subset_1(X4,X1)
=> ( r2_hidden(X4,X2)
<=> r2_hidden(X4,X3) ) ) ) ) ) ),
file('<stdin>',d1_filter_2) ).
fof(c_0_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X4,k22_filter_2(X1,X2,X3))
<=> ( r3_lattices(X1,X2,X4)
& r3_lattices(X1,X4,X3) ) ) ) ) ) ) ),
file('<stdin>',t63_filter_2) ).
fof(c_0_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2)
& m1_subset_1(X3,u1_struct_0(X2)) )
=> ( r2_hidden(X1,a_2_0_filter_0(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
& X1 = X4
& r3_lattices(X2,X3,X4) ) ) ),
file('<stdin>',fraenkel_a_2_0_filter_0) ).
fof(c_0_3,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
file('<stdin>',dt_k22_filter_2) ).
fof(c_0_4,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( r3_lattices(X1,X2,X3)
<=> r1_lattices(X1,X2,X3) ) ),
file('<stdin>',redefinition_r3_lattices) ).
fof(c_0_5,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
=> r1_filter_2(X1,X3,X2) ) ),
file('<stdin>',symmetry_r1_filter_2) ).
fof(c_0_6,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X2,k2_filter_0(X1,X3))
<=> r3_lattices(X1,X3,X2) ) ) ) ),
file('<stdin>',t18_filter_0) ).
fof(c_0_7,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
file('<stdin>',redefinition_r1_filter_2) ).
fof(c_0_8,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> r3_lattices(X1,X2,X2) ),
file('<stdin>',reflexivity_r3_lattices) ).
fof(c_0_9,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('<stdin>',t2_tarski) ).
fof(c_0_10,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> r1_filter_2(X1,X2,X2) ),
file('<stdin>',reflexivity_r1_filter_2) ).
fof(c_0_11,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r3_lattices(X1,X2,k6_lattices(X1)) ) ),
file('<stdin>',t45_lattices) ).
fof(c_0_12,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_filter_2(k2_filter_2(X1,X2),X1) ),
file('<stdin>',dt_k2_filter_2) ).
fof(c_0_13,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_filter_0(k2_filter_0(X1,X2),X1) ),
file('<stdin>',dt_k2_filter_0) ).
fof(c_0_14,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
file('<stdin>',redefinition_k2_filter_2) ).
fof(c_0_15,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k2_filter_0(X1,X2) = a_2_0_filter_0(X1,X2) ) ),
file('<stdin>',d3_filter_0) ).
fof(c_0_16,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('<stdin>',dt_m2_lattice4) ).
fof(c_0_17,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('<stdin>',dt_m1_filter_0) ).
fof(c_0_18,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('<stdin>',t4_subset) ).
fof(c_0_19,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('<stdin>',t5_subset) ).
fof(c_0_20,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v10_lattices(X1) ) ) ),
file('<stdin>',cc2_lattices) ).
fof(c_0_21,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('<stdin>',redefinition_m1_filter_2) ).
fof(c_0_22,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('<stdin>',dt_m1_filter_2) ).
fof(c_0_23,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
file('<stdin>',rc5_struct_0) ).
fof(c_0_24,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('<stdin>',t3_subset) ).
fof(c_0_25,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
file('<stdin>',antisymmetry_r2_hidden) ).
fof(c_0_26,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('<stdin>',t2_subset) ).
fof(c_0_27,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] :
( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ),
file('<stdin>',rc1_lattice4) ).
fof(c_0_28,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m2_lattice4(X2,X1) ),
file('<stdin>',existence_m2_lattice4) ).
fof(c_0_29,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m1_filter_2(X2,X1) ),
file('<stdin>',existence_m1_filter_2) ).
fof(c_0_30,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m1_filter_0(X2,X1) ),
file('<stdin>',existence_m1_filter_0) ).
fof(c_0_31,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
file('<stdin>',dt_k6_lattices) ).
fof(c_0_32,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('<stdin>',t1_subset) ).
fof(c_0_33,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
file('<stdin>',rc1_subset_1) ).
fof(c_0_34,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_35,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('<stdin>',fc1_struct_0) ).
fof(c_0_36,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('<stdin>',rc2_subset_1) ).
fof(c_0_37,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
file('<stdin>',cc1_lattices) ).
fof(c_0_38,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_39,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('<stdin>',fc1_subset_1) ).
fof(c_0_40,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_41,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('<stdin>',reflexivity_r1_tarski) ).
fof(c_0_42,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('<stdin>',dt_l3_lattices) ).
fof(c_0_43,axiom,
! [X1] :
( l2_lattices(X1)
=> l1_struct_0(X1) ),
file('<stdin>',dt_l2_lattices) ).
fof(c_0_44,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('<stdin>',dt_l1_lattices) ).
fof(c_0_45,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_funct_1(X1) ),
file('<stdin>',cc1_funct_1) ).
fof(c_0_46,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('<stdin>',t6_boole) ).
fof(c_0_47,axiom,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
file('<stdin>',rc3_struct_0) ).
fof(c_0_48,axiom,
? [X1] : ~ v1_xboole_0(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_49,axiom,
? [X1] : v1_xboole_0(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_50,axiom,
v1_xboole_0(k1_xboole_0),
file('<stdin>',fc1_xboole_0) ).
fof(c_0_51,axiom,
? [X1] : l3_lattices(X1),
file('<stdin>',existence_l3_lattices) ).
fof(c_0_52,axiom,
? [X1] : l2_lattices(X1),
file('<stdin>',existence_l2_lattices) ).
fof(c_0_53,axiom,
? [X1] : l1_struct_0(X1),
file('<stdin>',existence_l1_struct_0) ).
fof(c_0_54,axiom,
? [X1] : l1_lattices(X1),
file('<stdin>',existence_l1_lattices) ).
fof(c_0_55,axiom,
$true,
file('<stdin>',dt_u1_struct_0) ).
fof(c_0_56,axiom,
$true,
file('<stdin>',dt_m1_subset_1) ).
fof(c_0_57,axiom,
$true,
file('<stdin>',dt_l1_struct_0) ).
fof(c_0_58,axiom,
$true,
file('<stdin>',dt_k1_zfmisc_1) ).
fof(c_0_59,axiom,
$true,
file('<stdin>',dt_k1_xboole_0) ).
fof(c_0_60,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ( r1_filter_2(X1,X2,X3)
<=> ! [X4] :
( m1_subset_1(X4,X1)
=> ( r2_hidden(X4,X2)
<=> r2_hidden(X4,X3) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_61,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X4,k22_filter_2(X1,X2,X3))
<=> ( r3_lattices(X1,X2,X4)
& r3_lattices(X1,X4,X3) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_62,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2)
& m1_subset_1(X3,u1_struct_0(X2)) )
=> ( r2_hidden(X1,a_2_0_filter_0(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
& X1 = X4
& r3_lattices(X2,X3,X4) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_63,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_64,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( r3_lattices(X1,X2,X3)
<=> r1_lattices(X1,X2,X3) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_65,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
=> r1_filter_2(X1,X3,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_66,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X2,k2_filter_0(X1,X3))
<=> r3_lattices(X1,X3,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_67,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_68,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> r3_lattices(X1,X2,X2) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_69,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
c_0_9 ).
fof(c_0_70,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> r1_filter_2(X1,X2,X2) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_71,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r3_lattices(X1,X2,k6_lattices(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_72,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_filter_2(k2_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_73,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_filter_0(k2_filter_0(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_74,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_75,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k2_filter_0(X1,X2) = a_2_0_filter_0(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_76,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_77,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_78,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
c_0_18 ).
fof(c_0_79,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
c_0_19 ).
fof(c_0_80,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v10_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_81,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_82,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_83,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_84,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
c_0_24 ).
fof(c_0_85,plain,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_86,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
c_0_26 ).
fof(c_0_87,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] :
( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_88,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m2_lattice4(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_89,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m1_filter_2(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_90,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m1_filter_0(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_91,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_92,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
c_0_32 ).
fof(c_0_93,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_94,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
c_0_34 ).
fof(c_0_95,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_96,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
c_0_36 ).
fof(c_0_97,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_98,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
c_0_38 ).
fof(c_0_99,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_100,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
c_0_40 ).
fof(c_0_101,axiom,
! [X1,X2] : r1_tarski(X1,X1),
c_0_41 ).
fof(c_0_102,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
c_0_42 ).
fof(c_0_103,axiom,
! [X1] :
( l2_lattices(X1)
=> l1_struct_0(X1) ),
c_0_43 ).
fof(c_0_104,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
c_0_44 ).
fof(c_0_105,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_funct_1(X1) ),
c_0_45 ).
fof(c_0_106,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
c_0_46 ).
fof(c_0_107,plain,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_108,plain,
? [X1] : ~ v1_xboole_0(X1),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_109,axiom,
? [X1] : v1_xboole_0(X1),
c_0_49 ).
fof(c_0_110,axiom,
v1_xboole_0(k1_xboole_0),
c_0_50 ).
fof(c_0_111,axiom,
? [X1] : l3_lattices(X1),
c_0_51 ).
fof(c_0_112,axiom,
? [X1] : l2_lattices(X1),
c_0_52 ).
fof(c_0_113,axiom,
? [X1] : l1_struct_0(X1),
c_0_53 ).
fof(c_0_114,axiom,
? [X1] : l1_lattices(X1),
c_0_54 ).
fof(c_0_115,axiom,
$true,
c_0_55 ).
fof(c_0_116,axiom,
$true,
c_0_56 ).
fof(c_0_117,axiom,
$true,
c_0_57 ).
fof(c_0_118,axiom,
$true,
c_0_58 ).
fof(c_0_119,axiom,
$true,
c_0_59 ).
fof(c_0_120,plain,
! [X5,X6,X7,X8] :
( ( ~ r2_hidden(X8,X6)
| r2_hidden(X8,X7)
| ~ m1_subset_1(X8,X5)
| ~ r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| v1_xboole_0(X5) )
& ( ~ r2_hidden(X8,X7)
| r2_hidden(X8,X6)
| ~ m1_subset_1(X8,X5)
| ~ r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| v1_xboole_0(X5) )
& ( m1_subset_1(esk1_3(X5,X6,X7),X5)
| r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| v1_xboole_0(X5) )
& ( ~ r2_hidden(esk1_3(X5,X6,X7),X6)
| ~ r2_hidden(esk1_3(X5,X6,X7),X7)
| r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| v1_xboole_0(X5) )
& ( r2_hidden(esk1_3(X5,X6,X7),X6)
| r2_hidden(esk1_3(X5,X6,X7),X7)
| r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| v1_xboole_0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])])]) ).
fof(c_0_121,plain,
! [X5,X6,X7,X8] :
( ( r3_lattices(X5,X6,X8)
| ~ r2_hidden(X8,k22_filter_2(X5,X6,X7))
| ~ r3_lattices(X5,X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r3_lattices(X5,X8,X7)
| ~ r2_hidden(X8,k22_filter_2(X5,X6,X7))
| ~ r3_lattices(X5,X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( ~ r3_lattices(X5,X6,X8)
| ~ r3_lattices(X5,X8,X7)
| r2_hidden(X8,k22_filter_2(X5,X6,X7))
| ~ r3_lattices(X5,X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).
fof(c_0_122,plain,
! [X5,X6,X7,X9] :
( ( m1_subset_1(esk10_3(X5,X6,X7),u1_struct_0(X6))
| ~ r2_hidden(X5,a_2_0_filter_0(X6,X7))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6)) )
& ( X5 = esk10_3(X5,X6,X7)
| ~ r2_hidden(X5,a_2_0_filter_0(X6,X7))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6)) )
& ( r3_lattices(X6,X7,esk10_3(X5,X6,X7))
| ~ r2_hidden(X5,a_2_0_filter_0(X6,X7))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6)) )
& ( ~ m1_subset_1(X9,u1_struct_0(X6))
| X5 != X9
| ~ r3_lattices(X6,X7,X9)
| r2_hidden(X5,a_2_0_filter_0(X6,X7))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])])]) ).
fof(c_0_123,plain,
! [X4,X5,X6] :
( ( ~ v1_xboole_0(k22_filter_2(X4,X5,X6))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) )
& ( m2_lattice4(k22_filter_2(X4,X5,X6),X4)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).
fof(c_0_124,plain,
! [X4,X5,X6] :
( ( ~ r3_lattices(X4,X5,X6)
| r1_lattices(X4,X5,X6)
| v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) )
& ( ~ r1_lattices(X4,X5,X6)
| r3_lattices(X4,X5,X6)
| v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
fof(c_0_125,plain,
! [X4,X5,X6] :
( v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| ~ r1_filter_2(X4,X5,X6)
| r1_filter_2(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])]) ).
fof(c_0_126,plain,
! [X4,X5,X6] :
( ( ~ r2_hidden(X5,k2_filter_0(X4,X6))
| r3_lattices(X4,X6,X5)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( ~ r3_lattices(X4,X6,X5)
| r2_hidden(X5,k2_filter_0(X4,X6))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).
fof(c_0_127,plain,
! [X4,X5,X6] :
( ( ~ r1_filter_2(X4,X5,X6)
| X5 = X6
| v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) )
& ( X5 != X6
| r1_filter_2(X4,X5,X6)
| v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])]) ).
fof(c_0_128,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| r3_lattices(X4,X5,X5) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])]) ).
fof(c_0_129,plain,
! [X4,X5] :
( ( ~ r2_hidden(esk18_2(X4,X5),X4)
| ~ r2_hidden(esk18_2(X4,X5),X5)
| X4 = X5 )
& ( r2_hidden(esk18_2(X4,X5),X4)
| r2_hidden(esk18_2(X4,X5),X5)
| X4 = X5 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])]) ).
fof(c_0_130,plain,
! [X4,X5,X6] :
( v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| r1_filter_2(X4,X5,X5) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])])]) ).
fof(c_0_131,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ v14_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| r3_lattices(X3,X4,k6_lattices(X3)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).
fof(c_0_132,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| m1_filter_2(k2_filter_2(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])]) ).
fof(c_0_133,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| m1_filter_0(k2_filter_0(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])]) ).
fof(c_0_134,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| k2_filter_2(X3,X4) = k2_filter_0(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])]) ).
fof(c_0_135,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| k2_filter_0(X3,X4) = a_2_0_filter_0(X3,X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])]) ).
fof(c_0_136,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_lattice4(X4,X3)
| m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
fof(c_0_137,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])])]) ).
fof(c_0_138,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| m1_subset_1(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])]) ).
fof(c_0_139,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ v1_xboole_0(X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])]) ).
fof(c_0_140,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ v5_lattices(X2)
| ~ v6_lattices(X2)
| ~ v7_lattices(X2)
| ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(X2)
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ v5_lattices(X2)
| ~ v6_lattices(X2)
| ~ v7_lattices(X2)
| ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])]) ).
fof(c_0_141,plain,
! [X3,X4,X5] :
( ( ~ m1_filter_2(X4,X3)
| m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ m1_filter_0(X5,X3)
| m1_filter_2(X5,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])])])]) ).
fof(c_0_142,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m1_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m2_lattice4(X4,X3)
| ~ m1_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])])]) ).
fof(c_0_143,plain,
! [X3] :
( ( m1_subset_1(esk17_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) )
& ( ~ v1_xboole_0(esk17_1(X3))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])])])]) ).
fof(c_0_144,plain,
! [X3,X4,X5,X6] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X5,X6)
| m1_subset_1(X5,k1_zfmisc_1(X6)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])])])]) ).
fof(c_0_145,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ r2_hidden(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])]) ).
fof(c_0_146,plain,
! [X3,X4] :
( ~ m1_subset_1(X3,X4)
| v1_xboole_0(X4)
| r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])]) ).
fof(c_0_147,plain,
! [X3] :
( ( m2_lattice4(esk11_1(X3),X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ v1_xboole_0(esk11_1(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])])]) ).
fof(c_0_148,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| m2_lattice4(esk9_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])]) ).
fof(c_0_149,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| m1_filter_2(esk7_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])]) ).
fof(c_0_150,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| m1_filter_0(esk6_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])]) ).
fof(c_0_151,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l2_lattices(X2)
| m1_subset_1(k6_lattices(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])]) ).
fof(c_0_152,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| m1_subset_1(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])]) ).
fof(c_0_153,plain,
! [X3] :
( ( m1_subset_1(esk12_1(X3),k1_zfmisc_1(X3))
| v1_xboole_0(X3) )
& ( ~ v1_xboole_0(esk12_1(X3))
| v1_xboole_0(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])])]) ).
fof(c_0_154,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_94])]) ).
fof(c_0_155,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])]) ).
fof(c_0_156,plain,
! [X3] :
( m1_subset_1(esk14_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk14_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_96])]) ).
fof(c_0_157,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])])]) ).
fof(c_0_158,plain,
! [X3] : m1_subset_1(esk8_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_98])]) ).
fof(c_0_159,plain,
! [X2] : ~ v1_xboole_0(k1_zfmisc_1(X2)),
inference(variable_rename,[status(thm)],[c_0_99]) ).
fof(c_0_160,plain,
! [X3,X4] :
( ~ v1_xboole_0(X3)
| X3 = X4
| ~ v1_xboole_0(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_100])])])]) ).
fof(c_0_161,plain,
! [X3,X4] : r1_tarski(X3,X3),
inference(variable_rename,[status(thm)],[c_0_101]) ).
fof(c_0_162,plain,
! [X2] :
( ( l1_lattices(X2)
| ~ l3_lattices(X2) )
& ( l2_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_102])])]) ).
fof(c_0_163,plain,
! [X2] :
( ~ l2_lattices(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])]) ).
fof(c_0_164,plain,
! [X2] :
( ~ l1_lattices(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])]) ).
fof(c_0_165,plain,
! [X2] :
( ~ v1_xboole_0(X2)
| v1_funct_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])]) ).
fof(c_0_166,plain,
! [X2] :
( ~ v1_xboole_0(X2)
| X2 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_106])]) ).
fof(c_0_167,plain,
( l1_struct_0(esk16_0)
& ~ v3_struct_0(esk16_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_107])]) ).
fof(c_0_168,plain,
~ v1_xboole_0(esk15_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_108])]) ).
fof(c_0_169,plain,
v1_xboole_0(esk13_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_109])]) ).
fof(c_0_170,axiom,
v1_xboole_0(k1_xboole_0),
c_0_110 ).
fof(c_0_171,plain,
l3_lattices(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_111])]) ).
fof(c_0_172,plain,
l2_lattices(esk4_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_112])]) ).
fof(c_0_173,plain,
l1_struct_0(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_113])]) ).
fof(c_0_174,plain,
l1_lattices(esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_114])]) ).
fof(c_0_175,axiom,
$true,
c_0_115 ).
fof(c_0_176,axiom,
$true,
c_0_116 ).
fof(c_0_177,axiom,
$true,
c_0_117 ).
fof(c_0_178,axiom,
$true,
c_0_118 ).
fof(c_0_179,axiom,
$true,
c_0_119 ).
cnf(c_0_180,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r2_hidden(esk1_3(X1,X2,X3),X3)
| ~ r2_hidden(esk1_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_181,plain,
( v3_struct_0(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_182,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_183,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X4,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_184,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| r2_hidden(esk1_3(X1,X2,X3),X3)
| r2_hidden(esk1_3(X1,X2,X3),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_185,plain,
( v3_struct_0(X2)
| r3_lattices(X2,X1,esk10_3(X3,X2,X1))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_186,plain,
( v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_187,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| m1_subset_1(esk1_3(X1,X2,X3),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_188,plain,
( v3_struct_0(X2)
| m1_subset_1(esk10_3(X3,X2,X1),u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_189,plain,
( v3_struct_0(X2)
| r1_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_190,plain,
( v3_struct_0(X2)
| r3_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_191,plain,
( v1_xboole_0(X1)
| r2_hidden(X4,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_192,plain,
( v1_xboole_0(X1)
| r2_hidden(X4,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_193,plain,
( v3_struct_0(X2)
| r2_hidden(X3,a_2_0_filter_0(X2,X1))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r3_lattices(X2,X1,X4)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_194,plain,
( r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ r1_filter_2(X1,X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_195,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k2_filter_0(X1,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_196,plain,
( v3_struct_0(X2)
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_197,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X3,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,k2_filter_0(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_198,plain,
( v3_struct_0(X2)
| X3 = esk10_3(X3,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_199,plain,
( v1_xboole_0(X2)
| X3 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_filter_2(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_200,plain,
( r3_lattices(X1,X2,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_201,plain,
( X1 = X2
| ~ r2_hidden(esk18_2(X1,X2),X2)
| ~ r2_hidden(esk18_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_202,plain,
( v1_xboole_0(X2)
| r1_filter_2(X2,X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_203,plain,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_204,plain,
( r3_lattices(X1,X2,k6_lattices(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_205,plain,
( m1_filter_2(k2_filter_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_206,plain,
( m1_filter_0(k2_filter_0(X1,X2),X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_207,plain,
( X1 = X2
| r2_hidden(esk18_2(X1,X2),X2)
| r2_hidden(esk18_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_208,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_209,plain,
( k2_filter_0(X1,X2) = a_2_0_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_210,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_211,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_212,plain,
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_213,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_214,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_215,plain,
( v3_struct_0(X1)
| v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_216,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_217,plain,
( v3_struct_0(X1)
| m1_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_218,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_219,plain,
( v3_struct_0(X1)
| m1_subset_1(esk17_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_220,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_221,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_222,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_223,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_224,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_225,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_226,plain,
( v3_struct_0(X1)
| m2_lattice4(esk11_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_227,plain,
( m2_lattice4(esk9_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_228,plain,
( m1_filter_2(esk7_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_229,plain,
( m1_filter_0(esk6_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_230,plain,
( m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_231,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_232,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_233,plain,
( v1_xboole_0(X1)
| m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_234,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_235,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk17_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_236,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_237,plain,
m1_subset_1(esk14_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_238,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_239,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_240,plain,
( v3_struct_0(X1)
| v5_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_241,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_242,plain,
( v3_struct_0(X1)
| v7_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_243,plain,
( v3_struct_0(X1)
| v8_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_244,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_245,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk12_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_246,plain,
m1_subset_1(esk8_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_247,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_248,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_249,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_250,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_251,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_252,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_253,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_254,plain,
( v1_funct_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_255,plain,
v1_xboole_0(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_256,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_257,plain,
~ v3_struct_0(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_258,plain,
~ v1_xboole_0(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_259,plain,
l1_struct_0(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_260,plain,
v1_xboole_0(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_261,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_262,plain,
l3_lattices(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
cnf(c_0_263,plain,
l2_lattices(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_264,plain,
l1_struct_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_265,plain,
l1_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_266,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_267,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_268,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_269,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_270,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_179]) ).
cnf(c_0_271,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r2_hidden(esk1_3(X1,X2,X3),X3)
| ~ r2_hidden(esk1_3(X1,X2,X3),X2) ),
c_0_180,
[final] ).
cnf(c_0_272,plain,
( v3_struct_0(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
c_0_181,
[final] ).
cnf(c_0_273,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
c_0_182,
[final] ).
cnf(c_0_274,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X4,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
c_0_183,
[final] ).
cnf(c_0_275,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| r2_hidden(esk1_3(X1,X2,X3),X3)
| r2_hidden(esk1_3(X1,X2,X3),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
c_0_184,
[final] ).
cnf(c_0_276,plain,
( v3_struct_0(X2)
| r3_lattices(X2,X1,esk10_3(X3,X2,X1))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
c_0_185,
[final] ).
cnf(c_0_277,plain,
( v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
c_0_186,
[final] ).
cnf(c_0_278,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| m1_subset_1(esk1_3(X1,X2,X3),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
c_0_187,
[final] ).
cnf(c_0_279,plain,
( v3_struct_0(X2)
| m1_subset_1(esk10_3(X3,X2,X1),u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
c_0_188,
[final] ).
cnf(c_0_280,plain,
( v3_struct_0(X2)
| r1_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
c_0_189,
[final] ).
cnf(c_0_281,plain,
( v3_struct_0(X2)
| r3_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
c_0_190,
[final] ).
cnf(c_0_282,plain,
( v1_xboole_0(X1)
| r2_hidden(X4,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X2) ),
c_0_191,
[final] ).
cnf(c_0_283,plain,
( v1_xboole_0(X1)
| r2_hidden(X4,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X3) ),
c_0_192,
[final] ).
cnf(c_0_284,plain,
( v3_struct_0(X2)
| r2_hidden(X3,a_2_0_filter_0(X2,X1))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r3_lattices(X2,X1,X4)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
c_0_193,
[final] ).
cnf(c_0_285,plain,
( r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ r1_filter_2(X1,X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
c_0_194,
[final] ).
cnf(c_0_286,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k2_filter_0(X1,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X3,X2) ),
c_0_195,
[final] ).
cnf(c_0_287,plain,
( v3_struct_0(X2)
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_196,
[final] ).
cnf(c_0_288,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X3,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,k2_filter_0(X1,X3)) ),
c_0_197,
[final] ).
cnf(c_0_289,plain,
( v3_struct_0(X2)
| esk10_3(X3,X2,X1) = X3
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
c_0_198,
[final] ).
cnf(c_0_290,plain,
( v1_xboole_0(X2)
| X3 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_filter_2(X2,X3,X1) ),
c_0_199,
[final] ).
cnf(c_0_291,plain,
( r3_lattices(X1,X2,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1) ),
c_0_200,
[final] ).
cnf(c_0_292,plain,
( X1 = X2
| ~ r2_hidden(esk18_2(X1,X2),X2)
| ~ r2_hidden(esk18_2(X1,X2),X1) ),
c_0_201,
[final] ).
cnf(c_0_293,plain,
( v1_xboole_0(X2)
| r1_filter_2(X2,X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| X3 != X1 ),
c_0_202,
[final] ).
cnf(c_0_294,plain,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
c_0_203,
[final] ).
cnf(c_0_295,plain,
( r3_lattices(X1,X2,k6_lattices(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_204,
[final] ).
cnf(c_0_296,plain,
( m1_filter_2(k2_filter_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_205,
[final] ).
cnf(c_0_297,plain,
( m1_filter_0(k2_filter_0(X1,X2),X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_206,
[final] ).
cnf(c_0_298,plain,
( X1 = X2
| r2_hidden(esk18_2(X1,X2),X2)
| r2_hidden(esk18_2(X1,X2),X1) ),
c_0_207,
[final] ).
cnf(c_0_299,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_208,
[final] ).
cnf(c_0_300,plain,
( a_2_0_filter_0(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_209,
[final] ).
cnf(c_0_301,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_210,
[final] ).
cnf(c_0_302,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
c_0_211,
[final] ).
cnf(c_0_303,plain,
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X3) ),
c_0_212,
[final] ).
cnf(c_0_304,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
c_0_213,
[final] ).
cnf(c_0_305,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_214,
[final] ).
cnf(c_0_306,plain,
( v3_struct_0(X1)
| v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
c_0_215,
[final] ).
cnf(c_0_307,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
c_0_216,
[final] ).
cnf(c_0_308,plain,
( v3_struct_0(X1)
| m1_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
c_0_217,
[final] ).
cnf(c_0_309,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
c_0_218,
[final] ).
cnf(c_0_310,plain,
( v3_struct_0(X1)
| m1_subset_1(esk17_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
c_0_219,
[final] ).
cnf(c_0_311,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
c_0_220,
[final] ).
cnf(c_0_312,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_xboole_0(X2) ),
c_0_221,
[final] ).
cnf(c_0_313,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
c_0_222,
[final] ).
cnf(c_0_314,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
c_0_223,
[final] ).
cnf(c_0_315,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
c_0_224,
[final] ).
cnf(c_0_316,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
c_0_225,
[final] ).
cnf(c_0_317,plain,
( v3_struct_0(X1)
| m2_lattice4(esk11_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_226,
[final] ).
cnf(c_0_318,plain,
( m2_lattice4(esk9_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_227,
[final] ).
cnf(c_0_319,plain,
( m1_filter_2(esk7_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_228,
[final] ).
cnf(c_0_320,plain,
( m1_filter_0(esk6_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_229,
[final] ).
cnf(c_0_321,plain,
( m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1) ),
c_0_230,
[final] ).
cnf(c_0_322,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
c_0_231,
[final] ).
cnf(c_0_323,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(esk11_1(X1)) ),
c_0_232,
[final] ).
cnf(c_0_324,plain,
( v1_xboole_0(X1)
| m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)) ),
c_0_233,
[final] ).
cnf(c_0_325,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
c_0_234,
[final] ).
cnf(c_0_326,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk17_1(X1)) ),
c_0_235,
[final] ).
cnf(c_0_327,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
c_0_236,
[final] ).
cnf(c_0_328,plain,
m1_subset_1(esk14_1(X1),k1_zfmisc_1(X1)),
c_0_237,
[final] ).
cnf(c_0_329,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_238,
[final] ).
cnf(c_0_330,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_239,
[final] ).
cnf(c_0_331,plain,
( v3_struct_0(X1)
| v5_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_240,
[final] ).
cnf(c_0_332,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_241,
[final] ).
cnf(c_0_333,plain,
( v3_struct_0(X1)
| v7_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_242,
[final] ).
cnf(c_0_334,plain,
( v3_struct_0(X1)
| v8_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_243,
[final] ).
cnf(c_0_335,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_244,
[final] ).
cnf(c_0_336,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk12_1(X1)) ),
c_0_245,
[final] ).
cnf(c_0_337,plain,
m1_subset_1(esk8_1(X1),X1),
c_0_246,
[final] ).
cnf(c_0_338,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
c_0_247,
[final] ).
cnf(c_0_339,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
c_0_248,
[final] ).
cnf(c_0_340,plain,
r1_tarski(X1,X1),
c_0_249,
[final] ).
cnf(c_0_341,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
c_0_250,
[final] ).
cnf(c_0_342,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
c_0_251,
[final] ).
cnf(c_0_343,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
c_0_252,
[final] ).
cnf(c_0_344,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
c_0_253,
[final] ).
cnf(c_0_345,plain,
( v1_funct_1(X1)
| ~ v1_xboole_0(X1) ),
c_0_254,
[final] ).
cnf(c_0_346,plain,
v1_xboole_0(esk14_1(X1)),
c_0_255,
[final] ).
cnf(c_0_347,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
c_0_256,
[final] ).
cnf(c_0_348,plain,
~ v3_struct_0(esk16_0),
c_0_257,
[final] ).
cnf(c_0_349,plain,
~ v1_xboole_0(esk15_0),
c_0_258,
[final] ).
cnf(c_0_350,plain,
l1_struct_0(esk16_0),
c_0_259,
[final] ).
cnf(c_0_351,plain,
v1_xboole_0(esk13_0),
c_0_260,
[final] ).
cnf(c_0_352,plain,
v1_xboole_0(k1_xboole_0),
c_0_261,
[final] ).
cnf(c_0_353,plain,
l3_lattices(esk5_0),
c_0_262,
[final] ).
cnf(c_0_354,plain,
l2_lattices(esk4_0),
c_0_263,
[final] ).
cnf(c_0_355,plain,
l1_struct_0(esk3_0),
c_0_264,
[final] ).
cnf(c_0_356,plain,
l1_lattices(esk2_0),
c_0_265,
[final] ).
cnf(c_0_357,plain,
$true,
c_0_266,
[final] ).
cnf(c_0_358,plain,
$true,
c_0_267,
[final] ).
cnf(c_0_359,plain,
$true,
c_0_268,
[final] ).
cnf(c_0_360,plain,
$true,
c_0_269,
[final] ).
cnf(c_0_361,plain,
$true,
c_0_270,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_271_0,axiom,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r2_hidden(sk1_esk1_3(X1,X2,X3),X3)
| ~ r2_hidden(sk1_esk1_3(X1,X2,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_271_1,axiom,
( r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r2_hidden(sk1_esk1_3(X1,X2,X3),X3)
| ~ r2_hidden(sk1_esk1_3(X1,X2,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_271_2,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r2_hidden(sk1_esk1_3(X1,X2,X3),X3)
| ~ r2_hidden(sk1_esk1_3(X1,X2,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_271_3,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ r2_hidden(sk1_esk1_3(X1,X2,X3),X3)
| ~ r2_hidden(sk1_esk1_3(X1,X2,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_271_4,axiom,
( ~ r2_hidden(sk1_esk1_3(X1,X2,X3),X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ r2_hidden(sk1_esk1_3(X1,X2,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_271_5,axiom,
( ~ r2_hidden(sk1_esk1_3(X1,X2,X3),X2)
| ~ r2_hidden(sk1_esk1_3(X1,X2,X3),X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_272_0,axiom,
( v3_struct_0(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_272_1,axiom,
( r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_272_2,axiom,
( ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_272_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_272_4,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_272_5,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_272_6,axiom,
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_272_7,axiom,
( ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_272_8,axiom,
( ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_272_9,axiom,
( ~ r3_lattices(X1,X2,X4)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_273_0,axiom,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_273_1,axiom,
( r3_lattices(X1,X2,X4)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_273_2,axiom,
( ~ l3_lattices(X1)
| r3_lattices(X1,X2,X4)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_273_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X4)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_273_4,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X4)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_273_5,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X4)
| v3_struct_0(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_273_6,axiom,
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X4)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_273_7,axiom,
( ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X4)
| v3_struct_0(X1)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_273_8,axiom,
( ~ r2_hidden(X4,k22_filter_2(X1,X2,X3))
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X4)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_274_0,axiom,
( v3_struct_0(X1)
| r3_lattices(X1,X4,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_1,axiom,
( r3_lattices(X1,X4,X3)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_2,axiom,
( ~ l3_lattices(X1)
| r3_lattices(X1,X4,X3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X4,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_4,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X4,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_5,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X4,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_6,axiom,
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X4,X3)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_7,axiom,
( ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X4,X3)
| v3_struct_0(X1)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_8,axiom,
( ~ r2_hidden(X4,k22_filter_2(X1,X2,X3))
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X4,X3)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_275_0,axiom,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| r2_hidden(sk1_esk1_3(X1,X2,X3),X3)
| r2_hidden(sk1_esk1_3(X1,X2,X3),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_275]) ).
cnf(c_0_275_1,axiom,
( r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| r2_hidden(sk1_esk1_3(X1,X2,X3),X3)
| r2_hidden(sk1_esk1_3(X1,X2,X3),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_275]) ).
cnf(c_0_275_2,axiom,
( r2_hidden(sk1_esk1_3(X1,X2,X3),X3)
| r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| r2_hidden(sk1_esk1_3(X1,X2,X3),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_275]) ).
cnf(c_0_275_3,axiom,
( r2_hidden(sk1_esk1_3(X1,X2,X3),X2)
| r2_hidden(sk1_esk1_3(X1,X2,X3),X3)
| r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_275]) ).
cnf(c_0_275_4,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(sk1_esk1_3(X1,X2,X3),X2)
| r2_hidden(sk1_esk1_3(X1,X2,X3),X3)
| r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_275]) ).
cnf(c_0_275_5,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(sk1_esk1_3(X1,X2,X3),X2)
| r2_hidden(sk1_esk1_3(X1,X2,X3),X3)
| r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_275]) ).
cnf(c_0_276_0,axiom,
( v3_struct_0(X2)
| r3_lattices(X2,X1,sk1_esk10_3(X3,X2,X1))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_276]) ).
cnf(c_0_276_1,axiom,
( r3_lattices(X2,X1,sk1_esk10_3(X3,X2,X1))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_276]) ).
cnf(c_0_276_2,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X1,sk1_esk10_3(X3,X2,X1))
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_276]) ).
cnf(c_0_276_3,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X1,sk1_esk10_3(X3,X2,X1))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_276]) ).
cnf(c_0_276_4,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X1,sk1_esk10_3(X3,X2,X1))
| v3_struct_0(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_276]) ).
cnf(c_0_276_5,axiom,
( ~ r2_hidden(X3,a_2_0_filter_0(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X1,sk1_esk10_3(X3,X2,X1))
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_276]) ).
cnf(c_0_277_0,axiom,
( v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_277_1,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_277_2,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_277_3,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_277_4,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_277_5,axiom,
( ~ v1_xboole_0(k22_filter_2(X2,X3,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_278_0,axiom,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| m1_subset_1(sk1_esk1_3(X1,X2,X3),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_278_1,axiom,
( r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| m1_subset_1(sk1_esk1_3(X1,X2,X3),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_278_2,axiom,
( m1_subset_1(sk1_esk1_3(X1,X2,X3),X1)
| r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_278_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| m1_subset_1(sk1_esk1_3(X1,X2,X3),X1)
| r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_278_4,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| m1_subset_1(sk1_esk1_3(X1,X2,X3),X1)
| r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_279_0,axiom,
( v3_struct_0(X2)
| m1_subset_1(sk1_esk10_3(X3,X2,X1),u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_279_1,axiom,
( m1_subset_1(sk1_esk10_3(X3,X2,X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_279_2,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| m1_subset_1(sk1_esk10_3(X3,X2,X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_279_3,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| m1_subset_1(sk1_esk10_3(X3,X2,X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_279_4,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| m1_subset_1(sk1_esk10_3(X3,X2,X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_279_5,axiom,
( ~ r2_hidden(X3,a_2_0_filter_0(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| m1_subset_1(sk1_esk10_3(X3,X2,X1),u1_struct_0(X2))
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_280_0,axiom,
( v3_struct_0(X2)
| r1_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_280_1,axiom,
( r1_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_280_2,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| r1_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_280_3,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r1_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_280_4,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r1_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_280_5,axiom,
( ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r1_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_280_6,axiom,
( ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r1_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_280_7,axiom,
( ~ v6_lattices(X2)
| ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r1_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_280_8,axiom,
( ~ r3_lattices(X2,X3,X1)
| ~ v6_lattices(X2)
| ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r1_lattices(X2,X3,X1)
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_281_0,axiom,
( v3_struct_0(X2)
| r3_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_1,axiom,
( r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_2,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_3,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_4,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_5,axiom,
( ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_6,axiom,
( ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_7,axiom,
( ~ v6_lattices(X2)
| ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_8,axiom,
( ~ r1_lattices(X2,X3,X1)
| ~ v6_lattices(X2)
| ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X3,X1)
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_282_0,axiom,
( v1_xboole_0(X1)
| r2_hidden(X4,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_282_1,axiom,
( r2_hidden(X4,X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_282_2,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(X4,X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_282_3,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(X4,X3)
| v1_xboole_0(X1)
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_282_4,axiom,
( ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(X4,X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_282_5,axiom,
( ~ m1_subset_1(X4,X1)
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(X4,X3)
| v1_xboole_0(X1)
| ~ r2_hidden(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_282_6,axiom,
( ~ r2_hidden(X4,X2)
| ~ m1_subset_1(X4,X1)
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(X4,X3)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_283_0,axiom,
( v1_xboole_0(X1)
| r2_hidden(X4,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_283_1,axiom,
( r2_hidden(X4,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_283_2,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(X4,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_283_3,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(X4,X2)
| v1_xboole_0(X1)
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_283_4,axiom,
( ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(X4,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_283_5,axiom,
( ~ m1_subset_1(X4,X1)
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(X4,X2)
| v1_xboole_0(X1)
| ~ r2_hidden(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_283_6,axiom,
( ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X4,X1)
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(X4,X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_284_0,axiom,
( v3_struct_0(X2)
| r2_hidden(X3,a_2_0_filter_0(X2,X1))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r3_lattices(X2,X1,X4)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_284_1,axiom,
( r2_hidden(X3,a_2_0_filter_0(X2,X1))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r3_lattices(X2,X1,X4)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_284_2,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| r2_hidden(X3,a_2_0_filter_0(X2,X1))
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r3_lattices(X2,X1,X4)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_284_3,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r2_hidden(X3,a_2_0_filter_0(X2,X1))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ r3_lattices(X2,X1,X4)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_284_4,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r2_hidden(X3,a_2_0_filter_0(X2,X1))
| v3_struct_0(X2)
| ~ r3_lattices(X2,X1,X4)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_284_5,axiom,
( ~ r3_lattices(X2,X1,X4)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r2_hidden(X3,a_2_0_filter_0(X2,X1))
| v3_struct_0(X2)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_284_6,axiom,
( X3 != X4
| ~ r3_lattices(X2,X1,X4)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r2_hidden(X3,a_2_0_filter_0(X2,X1))
| v3_struct_0(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_284_7,axiom,
( ~ m1_subset_1(X4,u1_struct_0(X2))
| X3 != X4
| ~ r3_lattices(X2,X1,X4)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r2_hidden(X3,a_2_0_filter_0(X2,X1))
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_285_0,axiom,
( r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ r1_filter_2(X1,X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_285]) ).
cnf(c_0_285_1,axiom,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| ~ r1_filter_2(X1,X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_285]) ).
cnf(c_0_285_2,axiom,
( ~ r1_filter_2(X1,X3,X2)
| v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_285]) ).
cnf(c_0_285_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X3,X2)
| v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_285]) ).
cnf(c_0_285_4,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X3,X2)
| v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_285]) ).
cnf(c_0_286_0,axiom,
( v3_struct_0(X1)
| r2_hidden(X2,k2_filter_0(X1,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_286_1,axiom,
( r2_hidden(X2,k2_filter_0(X1,X3))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_286_2,axiom,
( ~ l3_lattices(X1)
| r2_hidden(X2,k2_filter_0(X1,X3))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_286_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X2,k2_filter_0(X1,X3))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_286_4,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X2,k2_filter_0(X1,X3))
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_286_5,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X2,k2_filter_0(X1,X3))
| v3_struct_0(X1)
| ~ r3_lattices(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_286_6,axiom,
( ~ r3_lattices(X1,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X2,k2_filter_0(X1,X3))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_287_0,axiom,
( v3_struct_0(X2)
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_287]) ).
cnf(c_0_287_1,axiom,
( m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_287]) ).
cnf(c_0_287_2,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_287]) ).
cnf(c_0_287_3,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_287]) ).
cnf(c_0_287_4,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_287]) ).
cnf(c_0_287_5,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_287]) ).
cnf(c_0_288_0,axiom,
( v3_struct_0(X1)
| r3_lattices(X1,X3,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,k2_filter_0(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_288_1,axiom,
( r3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,k2_filter_0(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_288_2,axiom,
( ~ l3_lattices(X1)
| r3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,k2_filter_0(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_288_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,k2_filter_0(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_288_4,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,k2_filter_0(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_288_5,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ r2_hidden(X2,k2_filter_0(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_288_6,axiom,
( ~ r2_hidden(X2,k2_filter_0(X1,X3))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X3,X2)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_289_0,axiom,
( v3_struct_0(X2)
| sk1_esk10_3(X3,X2,X1) = X3
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_289_1,axiom,
( sk1_esk10_3(X3,X2,X1) = X3
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_289_2,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| sk1_esk10_3(X3,X2,X1) = X3
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_289_3,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| sk1_esk10_3(X3,X2,X1) = X3
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_289_4,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| sk1_esk10_3(X3,X2,X1) = X3
| v3_struct_0(X2)
| ~ r2_hidden(X3,a_2_0_filter_0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_289_5,axiom,
( ~ r2_hidden(X3,a_2_0_filter_0(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| sk1_esk10_3(X3,X2,X1) = X3
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_290_0,axiom,
( v1_xboole_0(X2)
| X3 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_filter_2(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_290_1,axiom,
( X3 = X1
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_filter_2(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_290_2,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| X3 = X1
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_filter_2(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_290_3,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| X3 = X1
| v1_xboole_0(X2)
| ~ r1_filter_2(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_290_4,axiom,
( ~ r1_filter_2(X2,X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| X3 = X1
| v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_291_0,axiom,
( r3_lattices(X1,X2,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_291_1,axiom,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_291_2,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,X2,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_291_3,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,X2,X2)
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_291_4,axiom,
( ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,X2,X2)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_291_5,axiom,
( ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,X2,X2)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_291_6,axiom,
( ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,X2,X2)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_291_7,axiom,
( ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,X2,X2) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_292_0,axiom,
( X1 = X2
| ~ r2_hidden(sk1_esk18_2(X1,X2),X2)
| ~ r2_hidden(sk1_esk18_2(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_292]) ).
cnf(c_0_292_1,axiom,
( ~ r2_hidden(sk1_esk18_2(X1,X2),X2)
| X1 = X2
| ~ r2_hidden(sk1_esk18_2(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_292]) ).
cnf(c_0_292_2,axiom,
( ~ r2_hidden(sk1_esk18_2(X1,X2),X1)
| ~ r2_hidden(sk1_esk18_2(X1,X2),X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_292]) ).
cnf(c_0_293_0,axiom,
( v1_xboole_0(X2)
| r1_filter_2(X2,X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_293_1,axiom,
( r1_filter_2(X2,X3,X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_293_2,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_filter_2(X2,X3,X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_293_3,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_filter_2(X2,X3,X1)
| v1_xboole_0(X2)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_293_4,axiom,
( X3 != X1
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_filter_2(X2,X3,X1)
| v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_294_0,axiom,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_294_1,axiom,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_294_2,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| r1_filter_2(X1,X2,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_294_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| r1_filter_2(X1,X2,X2) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_295_0,axiom,
( r3_lattices(X1,X2,k6_lattices(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_1,axiom,
( v3_struct_0(X1)
| r3_lattices(X1,X2,k6_lattices(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_2,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,X2,k6_lattices(X1))
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_3,axiom,
( ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,X2,k6_lattices(X1))
| ~ v14_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_4,axiom,
( ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,X2,k6_lattices(X1))
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_5,axiom,
( ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,X2,k6_lattices(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_296_0,axiom,
( m1_filter_2(k2_filter_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_296_1,axiom,
( v3_struct_0(X1)
| m1_filter_2(k2_filter_2(X1,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_296_2,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| m1_filter_2(k2_filter_2(X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_296_3,axiom,
( ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| m1_filter_2(k2_filter_2(X1,X2),X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_296_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| m1_filter_2(k2_filter_2(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_297_0,axiom,
( m1_filter_0(k2_filter_0(X1,X2),X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_1,axiom,
( v3_struct_0(X1)
| m1_filter_0(k2_filter_0(X1,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_2,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| m1_filter_0(k2_filter_0(X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_3,axiom,
( ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| m1_filter_0(k2_filter_0(X1,X2),X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| m1_filter_0(k2_filter_0(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_298_0,axiom,
( X1 = X2
| r2_hidden(sk1_esk18_2(X1,X2),X2)
| r2_hidden(sk1_esk18_2(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_1,axiom,
( r2_hidden(sk1_esk18_2(X1,X2),X2)
| X1 = X2
| r2_hidden(sk1_esk18_2(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_2,axiom,
( r2_hidden(sk1_esk18_2(X1,X2),X1)
| r2_hidden(sk1_esk18_2(X1,X2),X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_299_0,axiom,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_1,axiom,
( v3_struct_0(X1)
| k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_2,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_3,axiom,
( ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_300_0,axiom,
( a_2_0_filter_0(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_1,axiom,
( v3_struct_0(X1)
| a_2_0_filter_0(X1,X2) = k2_filter_0(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_2,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| a_2_0_filter_0(X1,X2) = k2_filter_0(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_3,axiom,
( ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| a_2_0_filter_0(X1,X2) = k2_filter_0(X1,X2)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| a_2_0_filter_0(X1,X2) = k2_filter_0(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_301_0,axiom,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_1,axiom,
( v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_2,axiom,
( ~ m2_lattice4(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_3,axiom,
( ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_4,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_302_0,axiom,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_1,axiom,
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_2,axiom,
( ~ l3_lattices(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_4,axiom,
( ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_303_0,axiom,
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_1,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_2,axiom,
( ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| m1_subset_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_304_0,axiom,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_1,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_2,axiom,
( ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_305_0,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_1,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_2,axiom,
( ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_3,axiom,
( ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_4,axiom,
( ~ v7_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_5,axiom,
( ~ v6_lattices(X1)
| ~ v7_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_6,axiom,
( ~ v5_lattices(X1)
| ~ v6_lattices(X1)
| ~ v7_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_7,axiom,
( ~ v4_lattices(X1)
| ~ v5_lattices(X1)
| ~ v6_lattices(X1)
| ~ v7_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_8,axiom,
( ~ v3_struct_0(X1)
| ~ v4_lattices(X1)
| ~ v5_lattices(X1)
| ~ v6_lattices(X1)
| ~ v7_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_306_0,axiom,
( v3_struct_0(X1)
| v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_1,axiom,
( v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_2,axiom,
( ~ l3_lattices(X1)
| v10_lattices(X1)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_3,axiom,
( ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(X1)
| v3_struct_0(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_4,axiom,
( ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(X1)
| v3_struct_0(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_5,axiom,
( ~ v7_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(X1)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_6,axiom,
( ~ v6_lattices(X1)
| ~ v7_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(X1)
| v3_struct_0(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_7,axiom,
( ~ v5_lattices(X1)
| ~ v6_lattices(X1)
| ~ v7_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(X1)
| v3_struct_0(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_8,axiom,
( ~ v4_lattices(X1)
| ~ v5_lattices(X1)
| ~ v6_lattices(X1)
| ~ v7_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_307_0,axiom,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_1,axiom,
( m1_filter_0(X2,X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_2,axiom,
( ~ l3_lattices(X1)
| m1_filter_0(X2,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_filter_0(X2,X1)
| v3_struct_0(X1)
| ~ m1_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_4,axiom,
( ~ m1_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_filter_0(X2,X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_308_0,axiom,
( v3_struct_0(X1)
| m1_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_1,axiom,
( m1_filter_2(X2,X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_2,axiom,
( ~ l3_lattices(X1)
| m1_filter_2(X2,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_filter_2(X2,X1)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_4,axiom,
( ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_filter_2(X2,X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_309_0,axiom,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_1,axiom,
( m2_lattice4(X2,X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_2,axiom,
( ~ l3_lattices(X1)
| m2_lattice4(X2,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_lattice4(X2,X1)
| v3_struct_0(X1)
| ~ m1_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_4,axiom,
( ~ m1_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_lattice4(X2,X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_310_0,axiom,
( v3_struct_0(X1)
| m1_subset_1(sk1_esk17_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_1,axiom,
( m1_subset_1(sk1_esk17_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_2,axiom,
( ~ l1_struct_0(X1)
| m1_subset_1(sk1_esk17_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_311_0,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_1,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_2,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ m1_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_3,axiom,
( ~ m1_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_4,axiom,
( ~ v1_xboole_0(X2)
| ~ m1_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_312_0,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_1,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_2,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_3,axiom,
( ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_4,axiom,
( ~ v1_xboole_0(X2)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_313_0,axiom,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_313_1,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_314_0,axiom,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_314_1,axiom,
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_315_0,axiom,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_315_1,axiom,
( ~ r1_tarski(X1,X2)
| m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_316_0,axiom,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_1,axiom,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_2,axiom,
( ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_317_0,axiom,
( v3_struct_0(X1)
| m2_lattice4(sk1_esk11_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_1,axiom,
( m2_lattice4(sk1_esk11_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_2,axiom,
( ~ l3_lattices(X1)
| m2_lattice4(sk1_esk11_1(X1),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_lattice4(sk1_esk11_1(X1),X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_318_0,axiom,
( m2_lattice4(sk1_esk9_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_1,axiom,
( v3_struct_0(X1)
| m2_lattice4(sk1_esk9_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_2,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(sk1_esk9_1(X1),X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(sk1_esk9_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_319_0,axiom,
( m1_filter_2(sk1_esk7_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_319_1,axiom,
( v3_struct_0(X1)
| m1_filter_2(sk1_esk7_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_319_2,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| m1_filter_2(sk1_esk7_1(X1),X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_319_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| m1_filter_2(sk1_esk7_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_320_0,axiom,
( m1_filter_0(sk1_esk6_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_1,axiom,
( v3_struct_0(X1)
| m1_filter_0(sk1_esk6_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_2,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| m1_filter_0(sk1_esk6_1(X1),X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| m1_filter_0(sk1_esk6_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_321_0,axiom,
( m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_1,axiom,
( v3_struct_0(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_2,axiom,
( ~ l2_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_322_0,axiom,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_1,axiom,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_323_0,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(sk1_esk11_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_323_1,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(sk1_esk11_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_323_2,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk1_esk11_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_323_3,axiom,
( ~ v1_xboole_0(sk1_esk11_1(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_324_0,axiom,
( v1_xboole_0(X1)
| m1_subset_1(sk1_esk12_1(X1),k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_324_1,axiom,
( m1_subset_1(sk1_esk12_1(X1),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_325_0,axiom,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_1,axiom,
( ~ r2_hidden(X2,X1)
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_326_0,axiom,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(sk1_esk17_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_1,axiom,
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk1_esk17_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_2,axiom,
( ~ v1_xboole_0(sk1_esk17_1(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_327_0,axiom,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_1,axiom,
( ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_2,axiom,
( ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_329_0,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_329_1,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_329_2,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_329_3,axiom,
( ~ v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_330_0,axiom,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_1,axiom,
( v4_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_2,axiom,
( ~ l3_lattices(X1)
| v4_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v4_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_331_0,axiom,
( v3_struct_0(X1)
| v5_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_331_1,axiom,
( v5_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_331_2,axiom,
( ~ l3_lattices(X1)
| v5_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_331_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v5_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_332_0,axiom,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_332_1,axiom,
( v6_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_332_2,axiom,
( ~ l3_lattices(X1)
| v6_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_332_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v6_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_333_0,axiom,
( v3_struct_0(X1)
| v7_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_333_1,axiom,
( v7_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_333_2,axiom,
( ~ l3_lattices(X1)
| v7_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_333_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v7_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_334_0,axiom,
( v3_struct_0(X1)
| v8_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_1,axiom,
( v8_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_2,axiom,
( ~ l3_lattices(X1)
| v8_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v8_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_335_0,axiom,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_335_1,axiom,
( v9_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_335_2,axiom,
( ~ l3_lattices(X1)
| v9_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_335_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v9_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_336_0,axiom,
( v1_xboole_0(X1)
| ~ v1_xboole_0(sk1_esk12_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_336_1,axiom,
( ~ v1_xboole_0(sk1_esk12_1(X1))
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_339_0,axiom,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_1,axiom,
( ~ v1_xboole_0(X1)
| X2 = X1
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_2,axiom,
( ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_341_0,axiom,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_341_1,axiom,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_342_0,axiom,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_342_1,axiom,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_343_0,axiom,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_343_1,axiom,
( ~ l2_lattices(X1)
| l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_344_0,axiom,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_344_1,axiom,
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_345_0,axiom,
( v1_funct_1(X1)
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_345_1,axiom,
( ~ v1_xboole_0(X1)
| v1_funct_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_347_0,axiom,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_347_1,axiom,
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_338_0,axiom,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_348_0,axiom,
~ v3_struct_0(sk1_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_349_0,axiom,
~ v1_xboole_0(sk1_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_328_0,axiom,
m1_subset_1(sk1_esk14_1(X1),k1_zfmisc_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_337_0,axiom,
m1_subset_1(sk1_esk8_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_340_0,axiom,
r1_tarski(X1,X1),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_346_0,axiom,
v1_xboole_0(sk1_esk14_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_350_0,axiom,
l1_struct_0(sk1_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_351_0,axiom,
v1_xboole_0(sk1_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_352_0,axiom,
v1_xboole_0(k1_xboole_0),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_353_0,axiom,
l3_lattices(sk1_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_354_0,axiom,
l2_lattices(sk1_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_354]) ).
cnf(c_0_355_0,axiom,
l1_struct_0(sk1_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_355]) ).
cnf(c_0_356_0,axiom,
l1_lattices(sk1_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_356]) ).
cnf(c_0_357_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_357]) ).
cnf(c_0_358_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_358]) ).
cnf(c_0_359_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_359]) ).
cnf(c_0_360_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_360]) ).
cnf(c_0_361_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_361]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( v14_lattices(X1)
=> r1_filter_2(u1_struct_0(X1),k2_filter_2(X1,X2),k22_filter_2(X1,X2,k6_lattices(X1))) ) ) ),
file('<stdin>',t66_filter_2) ).
fof(c_0_1_002,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( v14_lattices(X1)
=> r1_filter_2(u1_struct_0(X1),k2_filter_2(X1,X2),k22_filter_2(X1,X2,k6_lattices(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_003,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& v14_lattices(esk1_0)
& ~ r1_filter_2(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_004,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_006,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_007,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_008,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_009,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_010,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),
c_0_3,
[final] ).
cnf(c_0_10_011,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
c_0_4,
[final] ).
cnf(c_0_11_012,negated_conjecture,
~ v3_struct_0(esk1_0),
c_0_5,
[final] ).
cnf(c_0_12_013,negated_conjecture,
v10_lattices(esk1_0),
c_0_6,
[final] ).
cnf(c_0_13_014,negated_conjecture,
l3_lattices(esk1_0),
c_0_7,
[final] ).
cnf(c_0_14_015,negated_conjecture,
v14_lattices(esk1_0),
c_0_8,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_270,plain,
( v1_xboole_0(X0)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X3,X2)
| ~ m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_282_6) ).
cnf(c_801210,plain,
( v1_xboole_0(X0)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X3,X2)
| ~ m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X3) ),
inference(copy,[status(esa)],[c_270]) ).
cnf(c_874270,plain,
( v1_xboole_0(u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),X1)
| ~ r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),X0)
| ~ r1_filter_2(u1_struct_0(sk2_esk1_0),X0,X1) ),
inference(instantiation,[status(thm)],[c_801210]) ).
cnf(c_875314,plain,
( v1_xboole_0(u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(k2_filter_0(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k2_filter_0(sk2_esk1_0,sk2_esk2_0))
| r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),X0)
| ~ r1_filter_2(u1_struct_0(sk2_esk1_0),k2_filter_0(sk2_esk1_0,sk2_esk2_0),X0) ),
inference(instantiation,[status(thm)],[c_874270]) ).
cnf(c_944071,plain,
( v1_xboole_0(u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(k2_filter_0(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ m1_subset_1(k2_filter_2(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),u1_struct_0(sk2_esk1_0))
| ~ r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k2_filter_0(sk2_esk1_0,sk2_esk2_0))
| r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k2_filter_2(sk2_esk1_0,sk2_esk2_0))
| ~ r1_filter_2(u1_struct_0(sk2_esk1_0),k2_filter_0(sk2_esk1_0,sk2_esk2_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0)) ),
inference(instantiation,[status(thm)],[c_875314]) ).
cnf(c_743,plain,
( v1_xboole_0(X0)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X3,X2)
| ~ m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X3) ),
inference(copy,[status(esa)],[c_270]) ).
cnf(c_173480,plain,
( v1_xboole_0(u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),X1)
| ~ r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),X0)
| ~ r1_filter_2(u1_struct_0(sk2_esk1_0),X0,X1) ),
inference(instantiation,[status(thm)],[c_743]) ).
cnf(c_348343,plain,
( v1_xboole_0(u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(k2_filter_2(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k2_filter_2(sk2_esk1_0,sk2_esk2_0))
| r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),X0)
| ~ r1_filter_2(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),X0) ),
inference(instantiation,[status(thm)],[c_173480]) ).
cnf(c_640575,plain,
( v1_xboole_0(u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(k2_filter_0(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ m1_subset_1(k2_filter_2(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),u1_struct_0(sk2_esk1_0))
| r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k2_filter_0(sk2_esk1_0,sk2_esk2_0))
| ~ r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k2_filter_2(sk2_esk1_0,sk2_esk2_0))
| ~ r1_filter_2(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k2_filter_0(sk2_esk1_0,sk2_esk2_0)) ),
inference(instantiation,[status(thm)],[c_348343]) ).
cnf(c_250,plain,
( r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0)
| ~ r1_filter_2(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_285_4) ).
cnf(c_723,plain,
( r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0)
| ~ r1_filter_2(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(copy,[status(esa)],[c_250]) ).
cnf(c_417601,plain,
( v1_xboole_0(u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(k2_filter_0(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ m1_subset_1(k2_filter_2(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| r1_filter_2(u1_struct_0(sk2_esk1_0),k2_filter_0(sk2_esk1_0,sk2_esk2_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0))
| ~ r1_filter_2(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k2_filter_0(sk2_esk1_0,sk2_esk2_0)) ),
inference(instantiation,[status(thm)],[c_723]) ).
cnf(c_203,plain,
( v1_xboole_0(X0)
| r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| X1 != X2 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_293_4) ).
cnf(c_676,plain,
( v1_xboole_0(X0)
| r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| X1 != X2 ),
inference(copy,[status(esa)],[c_203]) ).
cnf(c_417163,plain,
( v1_xboole_0(u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(k2_filter_0(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ m1_subset_1(k2_filter_2(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| r1_filter_2(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k2_filter_0(sk2_esk1_0,sk2_esk2_0))
| k2_filter_2(sk2_esk1_0,sk2_esk2_0) != k2_filter_0(sk2_esk1_0,sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_676]) ).
cnf(c_342,plain,
( v3_struct_0(X0)
| r2_hidden(X1,k22_filter_2(X0,X2,X3))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X2,X3)
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X2,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_272_9) ).
cnf(c_815,plain,
( v3_struct_0(X0)
| r2_hidden(X1,k22_filter_2(X0,X2,X3))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X2,X3)
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X2,X1) ),
inference(copy,[status(esa)],[c_342]) ).
cnf(c_104527,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(X0,u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| r2_hidden(X1,k22_filter_2(sk2_esk1_0,sk2_esk2_0,X0))
| ~ r3_lattices(sk2_esk1_0,sk2_esk2_0,X0)
| ~ r3_lattices(sk2_esk1_0,sk2_esk2_0,X1)
| ~ r3_lattices(sk2_esk1_0,X1,X0) ),
inference(instantiation,[status(thm)],[c_815]) ).
cnf(c_104707,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(k6_lattices(sk2_esk1_0),u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(X0,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| r2_hidden(X0,k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)))
| ~ r3_lattices(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))
| ~ r3_lattices(sk2_esk1_0,sk2_esk2_0,X0)
| ~ r3_lattices(sk2_esk1_0,X0,k6_lattices(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_104527]) ).
cnf(c_173483,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(k6_lattices(sk2_esk1_0),u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)))
| ~ r3_lattices(sk2_esk1_0,sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k6_lattices(sk2_esk1_0))
| ~ r3_lattices(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))
| ~ r3_lattices(sk2_esk1_0,sk2_esk2_0,sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)))) ),
inference(instantiation,[status(thm)],[c_104707]) ).
cnf(c_333,plain,
( v3_struct_0(X0)
| r3_lattices(X0,X1,X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X3)
| ~ r2_hidden(X2,k22_filter_2(X0,X1,X3)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_273_8) ).
cnf(c_806,plain,
( v3_struct_0(X0)
| r3_lattices(X0,X1,X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X3)
| ~ r2_hidden(X2,k22_filter_2(X0,X1,X3)) ),
inference(copy,[status(esa)],[c_333]) ).
cnf(c_104495,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(X0,u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| ~ r2_hidden(X1,k22_filter_2(sk2_esk1_0,sk2_esk2_0,X0))
| r3_lattices(sk2_esk1_0,sk2_esk2_0,X1)
| ~ r3_lattices(sk2_esk1_0,sk2_esk2_0,X0) ),
inference(instantiation,[status(thm)],[c_806]) ).
cnf(c_104670,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(k6_lattices(sk2_esk1_0),u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(X0,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| ~ r2_hidden(X0,k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)))
| ~ r3_lattices(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))
| r3_lattices(sk2_esk1_0,sk2_esk2_0,X0) ),
inference(instantiation,[status(thm)],[c_104495]) ).
cnf(c_173492,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(k6_lattices(sk2_esk1_0),u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| ~ r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)))
| ~ r3_lattices(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))
| r3_lattices(sk2_esk1_0,sk2_esk2_0,sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)))) ),
inference(instantiation,[status(thm)],[c_104670]) ).
cnf(c_245,plain,
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| r2_hidden(X2,k2_filter_0(X0,X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_286_4) ).
cnf(c_718,plain,
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| r2_hidden(X2,k2_filter_0(X0,X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(copy,[status(esa)],[c_245]) ).
cnf(c_42280,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(X0,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| r2_hidden(X0,k2_filter_0(sk2_esk1_0,sk2_esk2_0))
| ~ r3_lattices(sk2_esk1_0,sk2_esk2_0,X0) ),
inference(instantiation,[status(thm)],[c_718]) ).
cnf(c_173519,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k2_filter_0(sk2_esk1_0,sk2_esk2_0))
| ~ r3_lattices(sk2_esk1_0,sk2_esk2_0,sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)))) ),
inference(instantiation,[status(thm)],[c_42280]) ).
cnf(c_232,plain,
( ~ r2_hidden(X0,k2_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,X2,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_288_4) ).
cnf(c_705,plain,
( ~ r2_hidden(X0,k2_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,X2,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(copy,[status(esa)],[c_232]) ).
cnf(c_42253,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(X0,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| ~ r2_hidden(X0,k2_filter_0(sk2_esk1_0,sk2_esk2_0))
| r3_lattices(sk2_esk1_0,sk2_esk2_0,X0) ),
inference(instantiation,[status(thm)],[c_705]) ).
cnf(c_173521,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| ~ r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k2_filter_0(sk2_esk1_0,sk2_esk2_0))
| r3_lattices(sk2_esk1_0,sk2_esk2_0,sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)))) ),
inference(instantiation,[status(thm)],[c_42253]) ).
cnf(c_198,plain,
( ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| r3_lattices(X0,X1,k6_lattices(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_295_0) ).
cnf(c_671,plain,
( ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| r3_lattices(X0,X1,k6_lattices(X0)) ),
inference(copy,[status(esa)],[c_198]) ).
cnf(c_173339,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| ~ v14_lattices(sk2_esk1_0)
| r3_lattices(sk2_esk1_0,sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k6_lattices(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_671]) ).
cnf(c_165,plain,
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_301_4) ).
cnf(c_638,plain,
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(copy,[status(esa)],[c_165]) ).
cnf(c_105102,plain,
( ~ l3_lattices(sk2_esk1_0)
| m1_subset_1(k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| ~ m2_lattice4(k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)),sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_638]) ).
cnf(c_160,plain,
( v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_302_4) ).
cnf(c_633,plain,
( v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(copy,[status(esa)],[c_160]) ).
cnf(c_104906,plain,
( ~ l3_lattices(sk2_esk1_0)
| m1_subset_1(k2_filter_2(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| ~ m1_filter_0(k2_filter_2(sk2_esk1_0,sk2_esk2_0),sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_633]) ).
cnf(c_240,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_287_2) ).
cnf(c_713,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(copy,[status(esa)],[c_240]) ).
cnf(c_42152,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(X0,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| m2_lattice4(k22_filter_2(sk2_esk1_0,sk2_esk2_0,X0),sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_713]) ).
cnf(c_104619,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(k6_lattices(sk2_esk1_0),u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| m2_lattice4(k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)),sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_42152]) ).
cnf(c_131,plain,
( v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_2(X1,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_307_4) ).
cnf(c_604,plain,
( v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_2(X1,X0) ),
inference(copy,[status(esa)],[c_131]) ).
cnf(c_104590,plain,
( ~ l3_lattices(sk2_esk1_0)
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| m1_filter_0(k2_filter_2(sk2_esk1_0,sk2_esk2_0),sk2_esk1_0)
| ~ m1_filter_2(k2_filter_2(sk2_esk1_0,sk2_esk2_0),sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_604]) ).
cnf(c_104580,plain,
( ~ l3_lattices(sk2_esk1_0)
| m1_subset_1(k2_filter_0(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| ~ m1_filter_0(k2_filter_0(sk2_esk1_0,sk2_esk2_0),sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_633]) ).
cnf(c_352,plain,
( v1_xboole_0(X0)
| r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sk1_esk1_3(X0,X1,X2),X2)
| ~ r2_hidden(sk1_esk1_3(X0,X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_271_5) ).
cnf(c_825,plain,
( v1_xboole_0(X0)
| r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sk1_esk1_3(X0,X1,X2),X2)
| ~ r2_hidden(sk1_esk1_3(X0,X1,X2),X1) ),
inference(copy,[status(esa)],[c_352]) ).
cnf(c_104450,plain,
( v1_xboole_0(u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(k2_filter_2(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ m1_subset_1(k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k2_filter_2(sk2_esk1_0,sk2_esk2_0))
| ~ r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)))
| r1_filter_2(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))) ),
inference(instantiation,[status(thm)],[c_825]) ).
cnf(c_318,plain,
( v1_xboole_0(X0)
| r1_filter_2(X0,X1,X2)
| r2_hidden(sk1_esk1_3(X0,X1,X2),X2)
| r2_hidden(sk1_esk1_3(X0,X1,X2),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_275_5) ).
cnf(c_791,plain,
( v1_xboole_0(X0)
| r1_filter_2(X0,X1,X2)
| r2_hidden(sk1_esk1_3(X0,X1,X2),X2)
| r2_hidden(sk1_esk1_3(X0,X1,X2),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(copy,[status(esa)],[c_318]) ).
cnf(c_104444,plain,
( v1_xboole_0(u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(k2_filter_2(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ m1_subset_1(k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k2_filter_2(sk2_esk1_0,sk2_esk2_0))
| r2_hidden(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)))
| r1_filter_2(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))) ),
inference(instantiation,[status(thm)],[c_791]) ).
cnf(c_301,plain,
( v1_xboole_0(X0)
| r1_filter_2(X0,X1,X2)
| m1_subset_1(sk1_esk1_3(X0,X1,X2),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_278_4) ).
cnf(c_774,plain,
( v1_xboole_0(X0)
| r1_filter_2(X0,X1,X2)
| m1_subset_1(sk1_esk1_3(X0,X1,X2),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(copy,[status(esa)],[c_301]) ).
cnf(c_42235,plain,
( v1_xboole_0(u1_struct_0(sk2_esk1_0))
| ~ m1_subset_1(k2_filter_2(sk2_esk1_0,sk2_esk2_0),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| ~ m1_subset_1(k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)),k1_zfmisc_1(u1_struct_0(sk2_esk1_0)))
| m1_subset_1(sk1_esk1_3(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),u1_struct_0(sk2_esk1_0))
| r1_filter_2(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))) ),
inference(instantiation,[status(thm)],[c_774]) ).
cnf(c_193,plain,
( r3_lattices(X0,X1,k6_lattices(X0))
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_295_5) ).
cnf(c_666,plain,
( r3_lattices(X0,X1,k6_lattices(X0))
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0) ),
inference(copy,[status(esa)],[c_193]) ).
cnf(c_42088,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| ~ v14_lattices(sk2_esk1_0)
| r3_lattices(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0)) ),
inference(instantiation,[status(thm)],[c_666]) ).
cnf(c_175,plain,
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_299_4) ).
cnf(c_648,plain,
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(copy,[status(esa)],[c_175]) ).
cnf(c_42071,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| k2_filter_2(sk2_esk1_0,sk2_esk2_0) = k2_filter_0(sk2_esk1_0,sk2_esk2_0) ),
inference(instantiation,[status(thm)],[c_648]) ).
cnf(c_188,plain,
( m1_filter_2(k2_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_296_4) ).
cnf(c_661,plain,
( m1_filter_2(k2_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(copy,[status(esa)],[c_188]) ).
cnf(c_42033,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| m1_filter_2(k2_filter_2(sk2_esk1_0,sk2_esk2_0),sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_661]) ).
cnf(c_183,plain,
( m1_filter_0(k2_filter_0(X0,X1),X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_297_4) ).
cnf(c_656,plain,
( m1_filter_0(k2_filter_0(X0,X1),X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(copy,[status(esa)],[c_183]) ).
cnf(c_42016,plain,
( ~ l3_lattices(sk2_esk1_0)
| ~ m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0)
| ~ v10_lattices(sk2_esk1_0)
| m1_filter_0(k2_filter_0(sk2_esk1_0,sk2_esk2_0),sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_656]) ).
cnf(c_26,plain,
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_343_0) ).
cnf(c_422,plain,
( l1_struct_0(sk2_esk1_0)
| ~ l2_lattices(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_26]) ).
cnf(c_28,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_342_0) ).
cnf(c_421,plain,
( l2_lattices(sk2_esk1_0)
| ~ l3_lattices(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_28]) ).
cnf(c_66,plain,
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_327_0) ).
cnf(c_411,plain,
( ~ l1_struct_0(sk2_esk1_0)
| ~ v1_xboole_0(u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_82,plain,
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_321_0) ).
cnf(c_407,plain,
( ~ l2_lattices(sk2_esk1_0)
| m1_subset_1(k6_lattices(sk2_esk1_0),u1_struct_0(sk2_esk1_0))
| v3_struct_0(sk2_esk1_0) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_358,negated_conjecture,
~ r1_filter_2(u1_struct_0(sk2_esk1_0),k2_filter_2(sk2_esk1_0,sk2_esk2_0),k22_filter_2(sk2_esk1_0,sk2_esk2_0,k6_lattices(sk2_esk1_0))),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_9) ).
cnf(c_359,negated_conjecture,
~ v3_struct_0(sk2_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_11) ).
cnf(c_360,negated_conjecture,
m1_subset_1(sk2_esk2_0,u1_struct_0(sk2_esk1_0)),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_10) ).
cnf(c_361,negated_conjecture,
v10_lattices(sk2_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_12) ).
cnf(c_362,negated_conjecture,
l3_lattices(sk2_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_13) ).
cnf(c_363,negated_conjecture,
v14_lattices(sk2_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p',c_0_14) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_944071,c_640575,c_417601,c_417163,c_173483,c_173492,c_173519,c_173521,c_173339,c_105102,c_104906,c_104619,c_104590,c_104580,c_104450,c_104444,c_42235,c_42088,c_42071,c_42033,c_42016,c_422,c_421,c_411,c_407,c_358,c_359,c_360,c_361,c_362,c_363]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT329+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 29 18:37:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running in mono-core mode
% 0.20/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41 % FOF problem with conjecture
% 0.20/0.41 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_3a991f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_658c3d | grep -v "SZS"
% 0.20/0.44
% 0.20/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % ------ iProver source info
% 0.20/0.44
% 0.20/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.44 % git: non_committed_changes: true
% 0.20/0.44 % git: last_make_outside_of_git: true
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % ------ Input Options
% 0.20/0.44
% 0.20/0.44 % --out_options all
% 0.20/0.44 % --tptp_safe_out true
% 0.20/0.44 % --problem_path ""
% 0.20/0.44 % --include_path ""
% 0.20/0.44 % --clausifier .//eprover
% 0.20/0.44 % --clausifier_options --tstp-format
% 0.20/0.44 % --stdin false
% 0.20/0.44 % --dbg_backtrace false
% 0.20/0.44 % --dbg_dump_prop_clauses false
% 0.20/0.44 % --dbg_dump_prop_clauses_file -
% 0.20/0.44 % --dbg_out_stat false
% 0.20/0.44
% 0.20/0.44 % ------ General Options
% 0.20/0.44
% 0.20/0.44 % --fof false
% 0.20/0.44 % --time_out_real 150.
% 0.20/0.44 % --time_out_prep_mult 0.2
% 0.20/0.44 % --time_out_virtual -1.
% 0.20/0.44 % --schedule none
% 0.20/0.44 % --ground_splitting input
% 0.20/0.44 % --splitting_nvd 16
% 0.20/0.44 % --non_eq_to_eq false
% 0.20/0.44 % --prep_gs_sim true
% 0.20/0.44 % --prep_unflatten false
% 0.20/0.44 % --prep_res_sim true
% 0.20/0.44 % --prep_upred true
% 0.20/0.44 % --res_sim_input true
% 0.20/0.44 % --clause_weak_htbl true
% 0.20/0.44 % --gc_record_bc_elim false
% 0.20/0.44 % --symbol_type_check false
% 0.20/0.44 % --clausify_out false
% 0.20/0.44 % --large_theory_mode false
% 0.20/0.44 % --prep_sem_filter none
% 0.20/0.44 % --prep_sem_filter_out false
% 0.20/0.44 % --preprocessed_out false
% 0.20/0.44 % --sub_typing false
% 0.20/0.44 % --brand_transform false
% 0.20/0.44 % --pure_diseq_elim true
% 0.20/0.44 % --min_unsat_core false
% 0.20/0.44 % --pred_elim true
% 0.20/0.44 % --add_important_lit false
% 0.20/0.44 % --soft_assumptions false
% 0.20/0.44 % --reset_solvers false
% 0.20/0.44 % --bc_imp_inh []
% 0.20/0.44 % --conj_cone_tolerance 1.5
% 0.20/0.44 % --prolific_symb_bound 500
% 0.20/0.44 % --lt_threshold 2000
% 0.20/0.44
% 0.20/0.44 % ------ SAT Options
% 0.20/0.44
% 0.20/0.44 % --sat_mode false
% 0.20/0.44 % --sat_fm_restart_options ""
% 0.20/0.44 % --sat_gr_def false
% 0.20/0.44 % --sat_epr_types true
% 0.20/0.44 % --sat_non_cyclic_types false
% 0.20/0.44 % --sat_finite_models false
% 0.20/0.44 % --sat_fm_lemmas false
% 0.20/0.44 % --sat_fm_prep false
% 0.20/0.44 % --sat_fm_uc_incr true
% 0.20/0.44 % --sat_out_model small
% 0.20/0.44 % --sat_out_clauses false
% 0.20/0.44
% 0.20/0.44 % ------ QBF Options
% 0.20/0.44
% 0.20/0.44 % --qbf_mode false
% 0.20/0.44 % --qbf_elim_univ true
% 0.20/0.44 % --qbf_sk_in true
% 0.20/0.44 % --qbf_pred_elim true
% 0.20/0.44 % --qbf_split 32
% 0.20/0.44
% 0.20/0.44 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.20/0.47 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.47 % --bmc1_dump_file -
% 0.20/0.47 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.47 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.47 % --bmc1_ucm_extend_mode 1
% 0.20/0.47 % --bmc1_ucm_init_mode 2
% 0.20/0.47 % --bmc1_ucm_cone_mode none
% 0.20/0.47 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.47 % --bmc1_ucm_relax_model 4
% 0.20/0.47 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.47 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.47 % --bmc1_ucm_layered_model none
% 0.20/0.47 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.47
% 0.20/0.47 % ------ AIG Options
% 0.20/0.47
% 0.20/0.47 % --aig_mode false
% 0.20/0.47
% 0.20/0.47 % ------ Instantiation Options
% 0.20/0.47
% 0.20/0.47 % --instantiation_flag true
% 0.20/0.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.47 % --inst_solver_per_active 750
% 0.20/0.47 % --inst_solver_calls_frac 0.5
% 0.20/0.47 % --inst_passive_queue_type priority_queues
% 0.20/0.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.47 % --inst_passive_queues_freq [25;2]
% 0.20/0.47 % --inst_dismatching true
% 0.20/0.47 % --inst_eager_unprocessed_to_passive true
% 0.20/0.47 % --inst_prop_sim_given true
% 0.20/0.47 % --inst_prop_sim_new false
% 0.20/0.47 % --inst_orphan_elimination true
% 0.20/0.47 % --inst_learning_loop_flag true
% 0.20/0.47 % --inst_learning_start 3000
% 0.20/0.47 % --inst_learning_factor 2
% 0.20/0.47 % --inst_start_prop_sim_after_learn 3
% 0.20/0.47 % --inst_sel_renew solver
% 0.20/0.47 % --inst_lit_activity_flag true
% 0.20/0.47 % --inst_out_proof true
% 0.20/0.47
% 0.20/0.47 % ------ Resolution Options
% 0.20/0.47
% 0.20/0.47 % --resolution_flag true
% 0.20/0.47 % --res_lit_sel kbo_max
% 0.20/0.47 % --res_to_prop_solver none
% 0.20/0.47 % --res_prop_simpl_new false
% 0.20/0.47 % --res_prop_simpl_given false
% 0.20/0.47 % --res_passive_queue_type priority_queues
% 0.20/0.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.47 % --res_passive_queues_freq [15;5]
% 0.20/0.47 % --res_forward_subs full
% 0.20/0.47 % --res_backward_subs full
% 0.20/0.47 % --res_forward_subs_resolution true
% 0.20/0.47 % --res_backward_subs_resolution true
% 0.20/0.47 % --res_orphan_elimination false
% 0.20/0.47 % --res_time_limit 1000.
% 0.20/0.47 % --res_out_proof true
% 0.20/0.47 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_3a991f.s
% 0.20/0.47 % --modulo true
% 0.20/0.47
% 0.20/0.47 % ------ Combination Options
% 0.20/0.47
% 0.20/0.47 % --comb_res_mult 1000
% 0.20/0.47 % --comb_inst_mult 300
% 0.20/0.47 % ------
% 0.20/0.47
% 0.20/0.47 % ------ Parsing...% successful
% 0.20/0.47
% 0.20/0.47 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.47
% 0.20/0.47 % ------ Proving...
% 0.20/0.47 % ------ Problem Properties
% 0.20/0.47
% 0.20/0.47 %
% 0.20/0.47 % EPR false
% 0.20/0.47 % Horn false
% 0.20/0.47 % Has equality true
% 0.20/0.47
% 0.20/0.47 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 % % ------ Current options:
% 0.20/0.47
% 0.20/0.47 % ------ Input Options
% 0.20/0.47
% 0.20/0.47 % --out_options all
% 0.20/0.47 % --tptp_safe_out true
% 0.20/0.47 % --problem_path ""
% 0.20/0.47 % --include_path ""
% 0.20/0.47 % --clausifier .//eprover
% 0.20/0.47 % --clausifier_options --tstp-format
% 0.20/0.47 % --stdin false
% 0.20/0.47 % --dbg_backtrace false
% 0.20/0.47 % --dbg_dump_prop_clauses false
% 0.20/0.47 % --dbg_dump_prop_clauses_file -
% 0.20/0.47 % --dbg_out_stat false
% 0.20/0.47
% 0.20/0.47 % ------ General Options
% 0.20/0.47
% 0.20/0.47 % --fof false
% 0.20/0.47 % --time_out_real 150.
% 0.20/0.47 % --time_out_prep_mult 0.2
% 0.20/0.47 % --time_out_virtual -1.
% 0.20/0.47 % --schedule none
% 0.20/0.47 % --ground_splitting input
% 0.20/0.47 % --splitting_nvd 16
% 0.20/0.47 % --non_eq_to_eq false
% 0.20/0.47 % --prep_gs_sim true
% 0.20/0.47 % --prep_unflatten false
% 0.20/0.47 % --prep_res_sim true
% 0.20/0.47 % --prep_upred true
% 0.20/0.47 % --res_sim_input true
% 0.20/0.47 % --clause_weak_htbl true
% 0.20/0.47 % --gc_record_bc_elim false
% 0.20/0.47 % --symbol_type_check false
% 0.20/0.47 % --clausify_out false
% 0.20/0.47 % --large_theory_mode false
% 0.20/0.47 % --prep_sem_filter none
% 0.20/0.47 % --prep_sem_filter_out false
% 0.20/0.47 % --preprocessed_out false
% 0.20/0.47 % --sub_typing false
% 0.20/0.47 % --brand_transform false
% 0.20/0.47 % --pure_diseq_elim true
% 0.20/0.47 % --min_unsat_core false
% 0.20/0.47 % --pred_elim true
% 0.20/0.47 % --add_important_lit false
% 0.20/0.47 % --soft_assumptions false
% 0.20/0.47 % --reset_solvers false
% 0.20/0.47 % --bc_imp_inh []
% 0.20/0.47 % --conj_cone_tolerance 1.5
% 0.20/0.47 % --prolific_symb_bound 500
% 0.20/0.47 % --lt_threshold 2000
% 0.20/0.47
% 0.20/0.47 % ------ SAT Options
% 0.20/0.47
% 0.20/0.47 % --sat_mode false
% 0.20/0.47 % --sat_fm_restart_options ""
% 0.20/0.47 % --sat_gr_def false
% 0.20/0.47 % --sat_epr_types true
% 0.20/0.47 % --sat_non_cyclic_types false
% 0.20/0.47 % --sat_finite_models false
% 0.20/0.47 % --sat_fm_lemmas false
% 0.20/0.47 % --sat_fm_prep false
% 0.20/0.47 % --sat_fm_uc_incr true
% 0.20/0.47 % --sat_out_model small
% 0.20/0.47 % --sat_out_clauses false
% 0.20/0.47
% 0.20/0.47 % ------ QBF Options
% 0.20/0.47
% 0.20/0.47 % --qbf_mode false
% 0.20/0.47 % --qbf_elim_univ true
% 0.20/0.47 % --qbf_sk_in true
% 0.20/0.47 % --qbf_pred_elim true
% 0.20/0.47 % --qbf_split 32
% 0.20/0.47
% 0.20/0.47 % ------ BMC1 Options
% 0.20/0.47
% 0.20/0.47 % --bmc1_incremental false
% 0.20/0.47 % --bmc1_axioms reachable_all
% 0.20/0.47 % --bmc1_min_bound 0
% 0.20/0.47 % --bmc1_max_bound -1
% 0.20/0.47 % --bmc1_max_bound_default -1
% 0.20/0.47 % --bmc1_symbol_reachability true
% 0.20/0.47 % --bmc1_property_lemmas false
% 0.20/0.47 % --bmc1_k_induction false
% 0.20/0.47 % --bmc1_non_equiv_states false
% 0.20/0.47 % --bmc1_deadlock false
% 0.20/0.47 % --bmc1_ucm false
% 0.20/0.47 % --bmc1_add_unsat_core none
% 0.20/0.47 % --bmc1_unsat_core_children false
% 0.20/0.47 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.47 % --bmc1_out_stat full
% 0.20/0.47 % --bmc1_ground_init false
% 0.20/0.47 % --bmc1_pre_inst_next_state false
% 0.20/0.47 % --bmc1_pre_inst_state false
% 0.20/0.47 % --bmc1_pre_inst_reach_state false
% 0.20/0.47 % --bmc1_out_unsat_core false
% 0.20/0.47 % --bmc1_aig_witness_out false
% 0.20/0.47 % --bmc1_verbose false
% 0.20/0.47 % --bmc1_dump_clauses_tptp false
% 0.20/0.47 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.47 % --bmc1_dump_file -
% 0.20/0.47 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.47 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.47 % --bmc1_ucm_extend_mode 1
% 0.20/0.47 % --bmc1_ucm_init_mode 2
% 0.20/0.47 % --bmc1_ucm_cone_mode none
% 0.20/0.47 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.47 % --bmc1_ucm_relax_model 4
% 0.20/0.47 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.47 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.47 % --bmc1_ucm_layered_model none
% 0.20/0.47 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.47
% 0.20/0.47 % ------ AIG Options
% 0.20/0.47
% 0.20/0.47 % --aig_mode false
% 0.20/0.47
% 0.20/0.47 % ------ Instantiation Options
% 0.20/0.47
% 0.20/0.47 % --instantiation_flag true
% 0.20/0.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.47 % --inst_solver_per_active 750
% 0.20/0.47 % --inst_solver_calls_frac 0.5
% 0.20/0.47 % --inst_passive_queue_type priority_queues
% 0.20/0.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.47 % --inst_passive_queues_freq [25;2]
% 0.20/0.47 % --inst_dismatching true
% 0.20/0.47 % --inst_eager_unprocessed_to_passive true
% 0.20/0.47 % --inst_prop_sim_given true
% 150.27/150.44 % --inst_prop_sim_new false
% 150.27/150.44 % --inst_orphan_elimination true
% 150.27/150.44 % --inst_learning_loop_flag true
% 150.27/150.44 % --inst_learning_start 3000
% 150.27/150.44 % --inst_learning_factor 2
% 150.27/150.44 % --inst_start_prop_sim_after_learn 3
% 150.27/150.44 % --inst_sel_renew solver
% 150.27/150.44 % --inst_lit_activity_flag true
% 150.27/150.44 % --inst_out_proof true
% 150.27/150.44
% 150.27/150.44 % ------ Resolution Options
% 150.27/150.44
% 150.27/150.44 % --resolution_flag true
% 150.27/150.44 % --res_lit_sel kbo_max
% 150.27/150.44 % --res_to_prop_solver none
% 150.27/150.44 % --res_prop_simpl_new false
% 150.27/150.44 % --res_prop_simpl_given false
% 150.27/150.44 % --res_passive_queue_type priority_queues
% 150.27/150.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.27/150.44 % --res_passive_queues_freq [15;5]
% 150.27/150.44 % --res_forward_subs full
% 150.27/150.44 % --res_backward_subs full
% 150.27/150.44 % --res_forward_subs_resolution true
% 150.27/150.44 % --res_backward_subs_resolution true
% 150.27/150.44 % --res_orphan_elimination false
% 150.27/150.44 % --res_time_limit 1000.
% 150.27/150.44 % --res_out_proof true
% 150.27/150.44 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_3a991f.s
% 150.27/150.44 % --modulo true
% 150.27/150.44
% 150.27/150.44 % ------ Combination Options
% 150.27/150.44
% 150.27/150.44 % --comb_res_mult 1000
% 150.27/150.44 % --comb_inst_mult 300
% 150.27/150.44 % ------
% 150.27/150.44
% 150.27/150.44
% 150.27/150.44
% 150.27/150.44 % ------ Proving...
% 150.27/150.44 %
% 150.27/150.44
% 150.27/150.44
% 150.27/150.44 % Time Out Real
% 150.27/150.44
% 150.27/150.44 % ------ Statistics
% 150.27/150.44
% 150.27/150.44 % ------ General
% 150.27/150.44
% 150.27/150.44 % num_of_input_clauses: 255
% 150.27/150.44 % num_of_input_neg_conjectures: 6
% 150.27/150.44 % num_of_splits: 0
% 150.27/150.44 % num_of_split_atoms: 0
% 150.27/150.44 % num_of_sem_filtered_clauses: 0
% 150.27/150.44 % num_of_subtypes: 0
% 150.27/150.44 % monotx_restored_types: 0
% 150.27/150.44 % sat_num_of_epr_types: 0
% 150.27/150.44 % sat_num_of_non_cyclic_types: 0
% 150.27/150.44 % sat_guarded_non_collapsed_types: 0
% 150.27/150.44 % is_epr: 0
% 150.27/150.44 % is_horn: 0
% 150.27/150.44 % has_eq: 1
% 150.27/150.44 % num_pure_diseq_elim: 0
% 150.27/150.44 % simp_replaced_by: 0
% 150.27/150.44 % res_preprocessed: 12
% 150.27/150.44 % prep_upred: 0
% 150.27/150.44 % prep_unflattend: 0
% 150.27/150.44 % pred_elim_cands: 0
% 150.27/150.44 % pred_elim: 0
% 150.27/150.44 % pred_elim_cl: 0
% 150.27/150.44 % pred_elim_cycles: 0
% 150.27/150.44 % forced_gc_time: 0
% 150.27/150.44 % gc_basic_clause_elim: 0
% 150.27/150.44 % parsing_time: 0.013
% 150.27/150.44 % sem_filter_time: 0.
% 150.27/150.44 % pred_elim_time: 0.
% 150.27/150.44 % out_proof_time: 0.
% 150.27/150.44 % monotx_time: 0.
% 150.27/150.44 % subtype_inf_time: 0.
% 150.27/150.44 % unif_index_cands_time: 0.065
% 150.27/150.44 % unif_index_add_time: 0.035
% 150.27/150.44 % total_time: 150.016
% 150.27/150.44 % num_of_symbols: 77
% 150.27/150.44 % num_of_terms: 87438
% 150.27/150.44
% 150.27/150.44 % ------ Propositional Solver
% 150.27/150.44
% 150.27/150.44 % prop_solver_calls: 11
% 150.27/150.44 % prop_fast_solver_calls: 18
% 150.27/150.44 % prop_num_of_clauses: 8628
% 150.27/150.44 % prop_preprocess_simplified: 8881
% 150.27/150.44 % prop_fo_subsumed: 0
% 150.27/150.44 % prop_solver_time: 0.002
% 150.27/150.44 % prop_fast_solver_time: 0.
% 150.27/150.44 % prop_unsat_core_time: 0.
% 150.27/150.44
% 150.27/150.44 % ------ QBF
% 150.27/150.44
% 150.27/150.44 % qbf_q_res: 0
% 150.27/150.44 % qbf_num_tautologies: 0
% 150.27/150.44 % qbf_prep_cycles: 0
% 150.27/150.44
% 150.27/150.44 % ------ BMC1
% 150.27/150.44
% 150.27/150.44 % bmc1_current_bound: -1
% 150.27/150.44 % bmc1_last_solved_bound: -1
% 150.27/150.44 % bmc1_unsat_core_size: -1
% 150.27/150.44 % bmc1_unsat_core_parents_size: -1
% 150.27/150.44 % bmc1_merge_next_fun: 0
% 150.27/150.44 % bmc1_unsat_core_clauses_time: 0.
% 150.27/150.44
% 150.27/150.44 % ------ Instantiation
% 150.27/150.44
% 150.27/150.44 % inst_num_of_clauses: 5339
% 150.27/150.44 % inst_num_in_passive: 2248
% 150.27/150.44 % inst_num_in_active: 2130
% 150.27/150.44 % inst_num_in_unprocessed: 932
% 150.27/150.44 % inst_num_of_loops: 2700
% 150.27/150.44 % inst_num_of_learning_restarts: 0
% 150.27/150.44 % inst_num_moves_active_passive: 542
% 150.27/150.44 % inst_lit_activity: 538
% 150.27/150.44 % inst_lit_activity_moves: 2
% 150.27/150.44 % inst_num_tautologies: 27
% 150.27/150.44 % inst_num_prop_implied: 0
% 150.27/150.44 % inst_num_existing_simplified: 0
% 150.27/150.44 % inst_num_eq_res_simplified: 2
% 150.27/150.44 % inst_num_child_elim: 0
% 150.27/150.44 % inst_num_of_dismatching_blockings: 3998
% 150.27/150.44 % inst_num_of_non_proper_insts: 7095
% 150.27/150.44 % inst_num_of_duplicates: 5056
% 150.27/150.44 % inst_inst_num_from_inst_to_res: 0
% 150.27/150.44 % inst_dismatching_checking_time: 0.016
% 150.27/150.44
% 150.27/150.44 % ------ Resolution
% 150.27/150.44
% 150.27/150.44 % res_num_of_clauses: 240818
% 150.27/150.44 % res_num_in_passive: 234589
% 150.27/150.44 % res_num_in_active: 5918
% 150.27/150.44 % res_num_of_loops: 9999
% 150.27/150.44 % res_forward_subset_subsumed: 143531
% 150.27/150.44 % res_backward_subset_subsumed: 9
% 150.27/150.44 % res_forward_subsumed: 911
% 150.27/150.44 % res_backward_subsumed: 4
% 150.27/150.44 % res_forward_subsumption_resolution: 8105
% 150.27/150.44 % res_backward_subsumption_resolution: 2
% 150.27/150.44 % res_clause_to_clause_subsumption: 2706573
% 150.27/150.44 % res_orphan_elimination: 0
% 150.27/150.44 % res_tautology_del: 5409
% 150.27/150.44 % res_num_eq_res_simplified: 0
% 150.27/150.44 % res_num_sel_changes: 0
% 150.27/150.44 % res_moves_from_active_to_pass: 0
% 150.27/150.44
% 150.27/150.44 % Status Unknown
% 150.27/150.50 % Orienting using strategy ClausalAll
% 150.27/150.50 % FOF problem with conjecture
% 150.27/150.50 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_3a991f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_d9c72e.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_47fbfc | grep -v "SZS"
% 150.35/150.51
% 150.35/150.51 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.35/150.51
% 150.35/150.51 %
% 150.35/150.51 % ------ iProver source info
% 150.35/150.51
% 150.35/150.51 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.35/150.51 % git: non_committed_changes: true
% 150.35/150.51 % git: last_make_outside_of_git: true
% 150.35/150.51
% 150.35/150.51 %
% 150.35/150.51 % ------ Input Options
% 150.35/150.51
% 150.35/150.51 % --out_options all
% 150.35/150.51 % --tptp_safe_out true
% 150.35/150.51 % --problem_path ""
% 150.35/150.51 % --include_path ""
% 150.35/150.51 % --clausifier .//eprover
% 150.35/150.51 % --clausifier_options --tstp-format
% 150.35/150.51 % --stdin false
% 150.35/150.51 % --dbg_backtrace false
% 150.35/150.51 % --dbg_dump_prop_clauses false
% 150.35/150.51 % --dbg_dump_prop_clauses_file -
% 150.35/150.51 % --dbg_out_stat false
% 150.35/150.51
% 150.35/150.51 % ------ General Options
% 150.35/150.51
% 150.35/150.51 % --fof false
% 150.35/150.51 % --time_out_real 150.
% 150.35/150.51 % --time_out_prep_mult 0.2
% 150.35/150.51 % --time_out_virtual -1.
% 150.35/150.51 % --schedule none
% 150.35/150.51 % --ground_splitting input
% 150.35/150.51 % --splitting_nvd 16
% 150.35/150.51 % --non_eq_to_eq false
% 150.35/150.51 % --prep_gs_sim true
% 150.35/150.51 % --prep_unflatten false
% 150.35/150.51 % --prep_res_sim true
% 150.35/150.51 % --prep_upred true
% 150.35/150.51 % --res_sim_input true
% 150.35/150.51 % --clause_weak_htbl true
% 150.35/150.51 % --gc_record_bc_elim false
% 150.35/150.51 % --symbol_type_check false
% 150.35/150.51 % --clausify_out false
% 150.35/150.51 % --large_theory_mode false
% 150.35/150.51 % --prep_sem_filter none
% 150.35/150.51 % --prep_sem_filter_out false
% 150.35/150.51 % --preprocessed_out false
% 150.35/150.51 % --sub_typing false
% 150.35/150.51 % --brand_transform false
% 150.35/150.51 % --pure_diseq_elim true
% 150.35/150.51 % --min_unsat_core false
% 150.35/150.51 % --pred_elim true
% 150.35/150.51 % --add_important_lit false
% 150.35/150.51 % --soft_assumptions false
% 150.35/150.51 % --reset_solvers false
% 150.35/150.51 % --bc_imp_inh []
% 150.35/150.51 % --conj_cone_tolerance 1.5
% 150.35/150.51 % --prolific_symb_bound 500
% 150.35/150.51 % --lt_threshold 2000
% 150.35/150.51
% 150.35/150.51 % ------ SAT Options
% 150.35/150.51
% 150.35/150.51 % --sat_mode false
% 150.35/150.51 % --sat_fm_restart_options ""
% 150.35/150.51 % --sat_gr_def false
% 150.35/150.51 % --sat_epr_types true
% 150.35/150.51 % --sat_non_cyclic_types false
% 150.35/150.51 % --sat_finite_models false
% 150.35/150.51 % --sat_fm_lemmas false
% 150.35/150.51 % --sat_fm_prep false
% 150.35/150.51 % --sat_fm_uc_incr true
% 150.35/150.51 % --sat_out_model small
% 150.35/150.51 % --sat_out_clauses false
% 150.35/150.51
% 150.35/150.51 % ------ QBF Options
% 150.35/150.51
% 150.35/150.51 % --qbf_mode false
% 150.35/150.51 % --qbf_elim_univ true
% 150.35/150.51 % --qbf_sk_in true
% 150.35/150.51 % --qbf_pred_elim true
% 150.35/150.51 % --qbf_split 32
% 150.35/150.51
% 150.35/150.51 % ------ BMC1 Options
% 150.35/150.51
% 150.35/150.51 % --bmc1_incremental false
% 150.35/150.51 % --bmc1_axioms reachable_all
% 150.35/150.51 % --bmc1_min_bound 0
% 150.35/150.51 % --bmc1_max_bound -1
% 150.35/150.51 % --bmc1_max_bound_default -1
% 150.35/150.51 % --bmc1_symbol_reachability true
% 150.35/150.51 % --bmc1_property_lemmas false
% 150.35/150.51 % --bmc1_k_induction false
% 150.35/150.51 % --bmc1_non_equiv_states false
% 150.35/150.51 % --bmc1_deadlock false
% 150.35/150.51 % --bmc1_ucm false
% 150.35/150.51 % --bmc1_add_unsat_core none
% 150.35/150.51 % --bmc1_unsat_core_children false
% 150.35/150.51 % --bmc1_unsat_core_extrapolate_axioms false
% 150.35/150.51 % --bmc1_out_stat full
% 150.35/150.51 % --bmc1_ground_init false
% 150.35/150.51 % --bmc1_pre_inst_next_state false
% 150.35/150.51 % --bmc1_pre_inst_state false
% 150.35/150.51 % --bmc1_pre_inst_reach_state false
% 150.35/150.51 % --bmc1_out_unsat_core false
% 150.35/150.51 % --bmc1_aig_witness_out false
% 150.35/150.51 % --bmc1_verbose false
% 150.35/150.51 % --bmc1_dump_clauses_tptp false
% 150.35/150.53 % --bmc1_dump_unsat_core_tptp false
% 150.35/150.53 % --bmc1_dump_file -
% 150.35/150.53 % --bmc1_ucm_expand_uc_limit 128
% 150.35/150.53 % --bmc1_ucm_n_expand_iterations 6
% 150.35/150.53 % --bmc1_ucm_extend_mode 1
% 150.35/150.53 % --bmc1_ucm_init_mode 2
% 150.35/150.53 % --bmc1_ucm_cone_mode none
% 150.35/150.53 % --bmc1_ucm_reduced_relation_type 0
% 150.35/150.53 % --bmc1_ucm_relax_model 4
% 150.35/150.53 % --bmc1_ucm_full_tr_after_sat true
% 150.35/150.53 % --bmc1_ucm_expand_neg_assumptions false
% 150.35/150.53 % --bmc1_ucm_layered_model none
% 150.35/150.53 % --bmc1_ucm_max_lemma_size 10
% 150.35/150.53
% 150.35/150.53 % ------ AIG Options
% 150.35/150.53
% 150.35/150.53 % --aig_mode false
% 150.35/150.53
% 150.35/150.53 % ------ Instantiation Options
% 150.35/150.53
% 150.35/150.53 % --instantiation_flag true
% 150.35/150.53 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.35/150.53 % --inst_solver_per_active 750
% 150.35/150.53 % --inst_solver_calls_frac 0.5
% 150.35/150.53 % --inst_passive_queue_type priority_queues
% 150.35/150.53 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.35/150.53 % --inst_passive_queues_freq [25;2]
% 150.35/150.53 % --inst_dismatching true
% 150.35/150.53 % --inst_eager_unprocessed_to_passive true
% 150.35/150.53 % --inst_prop_sim_given true
% 150.35/150.53 % --inst_prop_sim_new false
% 150.35/150.53 % --inst_orphan_elimination true
% 150.35/150.53 % --inst_learning_loop_flag true
% 150.35/150.53 % --inst_learning_start 3000
% 150.35/150.53 % --inst_learning_factor 2
% 150.35/150.53 % --inst_start_prop_sim_after_learn 3
% 150.35/150.53 % --inst_sel_renew solver
% 150.35/150.53 % --inst_lit_activity_flag true
% 150.35/150.53 % --inst_out_proof true
% 150.35/150.53
% 150.35/150.53 % ------ Resolution Options
% 150.35/150.53
% 150.35/150.53 % --resolution_flag true
% 150.35/150.53 % --res_lit_sel kbo_max
% 150.35/150.53 % --res_to_prop_solver none
% 150.35/150.53 % --res_prop_simpl_new false
% 150.35/150.53 % --res_prop_simpl_given false
% 150.35/150.53 % --res_passive_queue_type priority_queues
% 150.35/150.53 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.35/150.53 % --res_passive_queues_freq [15;5]
% 150.35/150.53 % --res_forward_subs full
% 150.35/150.53 % --res_backward_subs full
% 150.35/150.53 % --res_forward_subs_resolution true
% 150.35/150.53 % --res_backward_subs_resolution true
% 150.35/150.53 % --res_orphan_elimination false
% 150.35/150.53 % --res_time_limit 1000.
% 150.35/150.53 % --res_out_proof true
% 150.35/150.53 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_3a991f.s
% 150.35/150.53 % --modulo true
% 150.35/150.53
% 150.35/150.53 % ------ Combination Options
% 150.35/150.53
% 150.35/150.53 % --comb_res_mult 1000
% 150.35/150.53 % --comb_inst_mult 300
% 150.35/150.53 % ------
% 150.35/150.53
% 150.35/150.53 % ------ Parsing...% successful
% 150.35/150.53
% 150.35/150.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 150.35/150.53
% 150.35/150.53 % ------ Proving...
% 150.35/150.53 % ------ Problem Properties
% 150.35/150.53
% 150.35/150.53 %
% 150.35/150.53 % EPR false
% 150.35/150.53 % Horn false
% 150.35/150.53 % Has equality true
% 150.35/150.53
% 150.35/150.53 % % ------ Input Options Time Limit: Unbounded
% 150.35/150.53
% 150.35/150.53
% 150.35/150.53 % % ------ Current options:
% 150.35/150.53
% 150.35/150.53 % ------ Input Options
% 150.35/150.53
% 150.35/150.53 % --out_options all
% 150.35/150.53 % --tptp_safe_out true
% 150.35/150.53 % --problem_path ""
% 150.35/150.53 % --include_path ""
% 150.35/150.53 % --clausifier .//eprover
% 150.35/150.53 % --clausifier_options --tstp-format
% 150.35/150.53 % --stdin false
% 150.35/150.53 % --dbg_backtrace false
% 150.35/150.53 % --dbg_dump_prop_clauses false
% 150.35/150.53 % --dbg_dump_prop_clauses_file -
% 150.35/150.53 % --dbg_out_stat false
% 150.35/150.53
% 150.35/150.53 % ------ General Options
% 150.35/150.53
% 150.35/150.53 % --fof false
% 150.35/150.53 % --time_out_real 150.
% 150.35/150.53 % --time_out_prep_mult 0.2
% 150.35/150.53 % --time_out_virtual -1.
% 150.35/150.53 % --schedule none
% 150.35/150.53 % --ground_splitting input
% 150.35/150.53 % --splitting_nvd 16
% 150.35/150.53 % --non_eq_to_eq false
% 150.35/150.53 % --prep_gs_sim true
% 150.35/150.53 % --prep_unflatten false
% 150.35/150.53 % --prep_res_sim true
% 150.35/150.53 % --prep_upred true
% 150.35/150.53 % --res_sim_input true
% 150.35/150.53 % --clause_weak_htbl true
% 150.35/150.53 % --gc_record_bc_elim false
% 150.35/150.53 % --symbol_type_check false
% 150.35/150.53 % --clausify_out false
% 150.35/150.53 % --large_theory_mode false
% 150.35/150.53 % --prep_sem_filter none
% 150.35/150.53 % --prep_sem_filter_out false
% 150.35/150.53 % --preprocessed_out false
% 150.35/150.53 % --sub_typing false
% 150.35/150.53 % --brand_transform false
% 150.35/150.53 % --pure_diseq_elim true
% 150.35/150.53 % --min_unsat_core false
% 150.35/150.53 % --pred_elim true
% 150.35/150.53 % --add_important_lit false
% 150.35/150.53 % --soft_assumptions false
% 150.35/150.53 % --reset_solvers false
% 150.35/150.53 % --bc_imp_inh []
% 150.35/150.53 % --conj_cone_tolerance 1.5
% 150.35/150.53 % --prolific_symb_bound 500
% 150.35/150.53 % --lt_threshold 2000
% 150.35/150.53
% 150.35/150.53 % ------ SAT Options
% 150.35/150.53
% 150.35/150.53 % --sat_mode false
% 150.35/150.53 % --sat_fm_restart_options ""
% 150.35/150.53 % --sat_gr_def false
% 150.35/150.53 % --sat_epr_types true
% 150.35/150.53 % --sat_non_cyclic_types false
% 150.35/150.53 % --sat_finite_models false
% 150.35/150.53 % --sat_fm_lemmas false
% 150.35/150.53 % --sat_fm_prep false
% 150.35/150.53 % --sat_fm_uc_incr true
% 150.35/150.53 % --sat_out_model small
% 150.35/150.53 % --sat_out_clauses false
% 150.35/150.53
% 150.35/150.53 % ------ QBF Options
% 150.35/150.53
% 150.35/150.53 % --qbf_mode false
% 150.35/150.53 % --qbf_elim_univ true
% 150.35/150.53 % --qbf_sk_in true
% 150.35/150.53 % --qbf_pred_elim true
% 150.35/150.53 % --qbf_split 32
% 150.35/150.53
% 150.35/150.53 % ------ BMC1 Options
% 150.35/150.53
% 150.35/150.53 % --bmc1_incremental false
% 150.35/150.53 % --bmc1_axioms reachable_all
% 150.35/150.53 % --bmc1_min_bound 0
% 150.35/150.53 % --bmc1_max_bound -1
% 150.35/150.53 % --bmc1_max_bound_default -1
% 150.35/150.53 % --bmc1_symbol_reachability true
% 150.35/150.53 % --bmc1_property_lemmas false
% 150.35/150.53 % --bmc1_k_induction false
% 150.35/150.53 % --bmc1_non_equiv_states false
% 150.35/150.53 % --bmc1_deadlock false
% 150.35/150.53 % --bmc1_ucm false
% 150.35/150.53 % --bmc1_add_unsat_core none
% 150.35/150.53 % --bmc1_unsat_core_children false
% 150.35/150.53 % --bmc1_unsat_core_extrapolate_axioms false
% 150.35/150.53 % --bmc1_out_stat full
% 150.35/150.53 % --bmc1_ground_init false
% 150.35/150.53 % --bmc1_pre_inst_next_state false
% 150.35/150.53 % --bmc1_pre_inst_state false
% 150.35/150.53 % --bmc1_pre_inst_reach_state false
% 150.35/150.53 % --bmc1_out_unsat_core false
% 150.35/150.53 % --bmc1_aig_witness_out false
% 150.35/150.53 % --bmc1_verbose false
% 150.35/150.53 % --bmc1_dump_clauses_tptp false
% 150.35/150.53 % --bmc1_dump_unsat_core_tptp false
% 150.35/150.53 % --bmc1_dump_file -
% 150.35/150.53 % --bmc1_ucm_expand_uc_limit 128
% 150.35/150.53 % --bmc1_ucm_n_expand_iterations 6
% 150.35/150.53 % --bmc1_ucm_extend_mode 1
% 150.35/150.53 % --bmc1_ucm_init_mode 2
% 150.35/150.53 % --bmc1_ucm_cone_mode none
% 150.35/150.53 % --bmc1_ucm_reduced_relation_type 0
% 150.35/150.53 % --bmc1_ucm_relax_model 4
% 150.35/150.53 % --bmc1_ucm_full_tr_after_sat true
% 150.35/150.53 % --bmc1_ucm_expand_neg_assumptions false
% 150.35/150.53 % --bmc1_ucm_layered_model none
% 150.35/150.53 % --bmc1_ucm_max_lemma_size 10
% 150.35/150.53
% 150.35/150.53 % ------ AIG Options
% 150.35/150.53
% 150.35/150.53 % --aig_mode false
% 150.35/150.53
% 150.35/150.53 % ------ Instantiation Options
% 150.35/150.53
% 150.35/150.53 % --instantiation_flag true
% 150.35/150.53 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.35/150.53 % --inst_solver_per_active 750
% 150.35/150.53 % --inst_solver_calls_frac 0.5
% 150.35/150.53 % --inst_passive_queue_type priority_queues
% 150.35/150.53 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.35/150.53 % --inst_passive_queues_freq [25;2]
% 150.35/150.53 % --inst_dismatching true
% 150.35/150.53 % --inst_eager_unprocessed_to_passive true
% 150.35/150.53 % --inst_prop_sim_given true
% 264.06/264.23 % --inst_prop_sim_new false
% 264.06/264.23 % --inst_orphan_elimination true
% 264.06/264.23 % --inst_learning_loop_flag true
% 264.06/264.23 % --inst_learning_start 3000
% 264.06/264.23 % --inst_learning_factor 2
% 264.06/264.23 % --inst_start_prop_sim_after_learn 3
% 264.06/264.23 % --inst_sel_renew solver
% 264.06/264.23 % --inst_lit_activity_flag true
% 264.06/264.23 % --inst_out_proof true
% 264.06/264.23
% 264.06/264.23 % ------ Resolution Options
% 264.06/264.23
% 264.06/264.23 % --resolution_flag true
% 264.06/264.23 % --res_lit_sel kbo_max
% 264.06/264.23 % --res_to_prop_solver none
% 264.06/264.23 % --res_prop_simpl_new false
% 264.06/264.23 % --res_prop_simpl_given false
% 264.06/264.23 % --res_passive_queue_type priority_queues
% 264.06/264.23 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 264.06/264.23 % --res_passive_queues_freq [15;5]
% 264.06/264.23 % --res_forward_subs full
% 264.06/264.23 % --res_backward_subs full
% 264.06/264.23 % --res_forward_subs_resolution true
% 264.06/264.23 % --res_backward_subs_resolution true
% 264.06/264.23 % --res_orphan_elimination false
% 264.06/264.23 % --res_time_limit 1000.
% 264.06/264.23 % --res_out_proof true
% 264.06/264.23 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_3a991f.s
% 264.06/264.23 % --modulo true
% 264.06/264.23
% 264.06/264.23 % ------ Combination Options
% 264.06/264.23
% 264.06/264.23 % --comb_res_mult 1000
% 264.06/264.23 % --comb_inst_mult 300
% 264.06/264.23 % ------
% 264.06/264.23
% 264.06/264.23
% 264.06/264.23
% 264.06/264.23 % ------ Proving...
% 264.06/264.23 %
% 264.06/264.23
% 264.06/264.23
% 264.06/264.23 % ------ Statistics
% 264.06/264.23
% 264.06/264.23 % ------ General
% 264.06/264.23
% 264.06/264.23 % num_of_input_clauses: 364
% 264.06/264.23 % num_of_input_neg_conjectures: 6
% 264.06/264.23 % num_of_splits: 0
% 264.06/264.23 % num_of_split_atoms: 0
% 264.06/264.23 % num_of_sem_filtered_clauses: 0
% 264.06/264.23 % num_of_subtypes: 0
% 264.06/264.23 % monotx_restored_types: 0
% 264.06/264.23 % sat_num_of_epr_types: 0
% 264.06/264.23 % sat_num_of_non_cyclic_types: 0
% 264.06/264.23 % sat_guarded_non_collapsed_types: 0
% 264.06/264.23 % is_epr: 0
% 264.06/264.23 % is_horn: 0
% 264.06/264.23 % has_eq: 1
% 264.06/264.23 % num_pure_diseq_elim: 0
% 264.06/264.23 % simp_replaced_by: 0
% 264.06/264.23 % res_preprocessed: 12
% 264.06/264.23 % prep_upred: 0
% 264.06/264.23 % prep_unflattend: 0
% 264.06/264.23 % pred_elim_cands: 0
% 264.06/264.23 % pred_elim: 0
% 264.06/264.23 % pred_elim_cl: 0
% 264.06/264.23 % pred_elim_cycles: 0
% 264.06/264.23 % forced_gc_time: 0
% 264.06/264.23 % gc_basic_clause_elim: 0
% 264.06/264.23 % parsing_time: 0.01
% 264.06/264.23 % sem_filter_time: 0.
% 264.06/264.23 % pred_elim_time: 0.
% 264.06/264.23 % out_proof_time: 0.004
% 264.06/264.23 % monotx_time: 0.
% 264.06/264.23 % subtype_inf_time: 0.
% 264.06/264.23 % unif_index_cands_time: 0.203
% 264.06/264.23 % unif_index_add_time: 0.045
% 264.06/264.23 % total_time: 113.724
% 264.06/264.23 % num_of_symbols: 77
% 264.06/264.23 % num_of_terms: 434891
% 264.06/264.23
% 264.06/264.23 % ------ Propositional Solver
% 264.06/264.23
% 264.06/264.23 % prop_solver_calls: 20
% 264.06/264.23 % prop_fast_solver_calls: 18
% 264.06/264.23 % prop_num_of_clauses: 10445
% 264.06/264.23 % prop_preprocess_simplified: 15059
% 264.06/264.23 % prop_fo_subsumed: 0
% 264.06/264.23 % prop_solver_time: 0.008
% 264.06/264.23 % prop_fast_solver_time: 0.
% 264.06/264.23 % prop_unsat_core_time: 0.001
% 264.06/264.23
% 264.06/264.23 % ------ QBF
% 264.06/264.23
% 264.06/264.23 % qbf_q_res: 0
% 264.06/264.23 % qbf_num_tautologies: 0
% 264.06/264.23 % qbf_prep_cycles: 0
% 264.06/264.23
% 264.06/264.23 % ------ BMC1
% 264.06/264.23
% 264.06/264.23 % bmc1_current_bound: -1
% 264.06/264.23 % bmc1_last_solved_bound: -1
% 264.06/264.23 % bmc1_unsat_core_size: -1
% 264.06/264.23 % bmc1_unsat_core_parents_size: -1
% 264.06/264.23 % bmc1_merge_next_fun: 0
% 264.06/264.23 % bmc1_unsat_core_clauses_time: 0.
% 264.06/264.23
% 264.06/264.23 % ------ Instantiation
% 264.06/264.23
% 264.06/264.23 % inst_num_of_clauses: 1754
% 264.06/264.23 % inst_num_in_passive: 412
% 264.06/264.23 % inst_num_in_active: 829
% 264.06/264.23 % inst_num_in_unprocessed: 494
% 264.06/264.23 % inst_num_of_loops: 863
% 264.06/264.23 % inst_num_of_learning_restarts: 1
% 264.06/264.23 % inst_num_moves_active_passive: 14
% 264.06/264.23 % inst_lit_activity: 178
% 264.06/264.23 % inst_lit_activity_moves: 0
% 264.06/264.23 % inst_num_tautologies: 17
% 264.06/264.23 % inst_num_prop_implied: 0
% 264.06/264.23 % inst_num_existing_simplified: 0
% 264.06/264.23 % inst_num_eq_res_simplified: 0
% 264.06/264.23 % inst_num_child_elim: 0
% 264.06/264.23 % inst_num_of_dismatching_blockings: 632
% 264.06/264.23 % inst_num_of_non_proper_insts: 2259
% 264.06/264.23 % inst_num_of_duplicates: 2470
% 264.06/264.23 % inst_inst_num_from_inst_to_res: 0
% 264.06/264.23 % inst_dismatching_checking_time: 0.03
% 264.06/264.23
% 264.06/264.23 % ------ Resolution
% 264.06/264.23
% 264.06/264.23 % res_num_of_clauses: 182679
% 264.06/264.23 % res_num_in_passive: 173914
% 264.06/264.23 % res_num_in_active: 8449
% 264.06/264.23 % res_num_of_loops: 13000
% 264.06/264.23 % res_forward_subset_subsumed: 39615
% 264.06/264.23 % res_backward_subset_subsumed: 464
% 264.06/264.23 % res_forward_subsumed: 3372
% 264.06/264.23 % res_backward_subsumed: 124
% 264.06/264.23 % res_forward_subsumption_resolution: 6931
% 264.06/264.23 % res_backward_subsumption_resolution: 25
% 264.06/264.23 % res_clause_to_clause_subsumption: 3350702
% 264.06/264.23 % res_orphan_elimination: 0
% 264.06/264.23 % res_tautology_del: 64056
% 264.06/264.23 % res_num_eq_res_simplified: 8
% 264.06/264.23 % res_num_sel_changes: 0
% 264.06/264.23 % res_moves_from_active_to_pass: 0
% 264.06/264.23
% 264.06/264.23 % Status Unsatisfiable
% 264.06/264.23 % SZS status Theorem
% 264.06/264.23 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------