TSTP Solution File: LAT317+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT317+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:10:38 EDT 2023
% Result : Theorem 2176.29s 283.48s
% Output : CNFRefutation 2176.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 33
% Syntax : Number of formulae : 230 ( 51 unt; 0 def)
% Number of atoms : 949 ( 88 equ)
% Maximal formula atoms : 48 ( 4 avg)
% Number of connectives : 1166 ( 447 ~; 467 |; 172 &)
% ( 5 <=>; 75 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-3 aty)
% Number of variables : 316 ( 19 sgn; 163 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k8_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',dt_k8_filter_2) ).
fof(t51_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ! [X3] :
( m2_filter_2(X3,X1)
=> ( r1_tarski(X2,k20_filter_2(X1,X2,X3))
& r1_tarski(X3,k20_filter_2(X1,X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',t51_filter_2) ).
fof(d7_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',d7_filter_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',t3_subset) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',reflexivity_r1_tarski) ).
fof(dt_k7_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',dt_k7_filter_2) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',d6_filter_2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',fc1_lattice2) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',t4_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',t1_subset) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',t2_tarski) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',fc1_struct_0) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',dt_l3_lattices) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',dt_k1_lattice2) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',t2_subset) ).
fof(dt_l2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',dt_l2_lattices) ).
fof(abstractness_v3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',abstractness_v3_lattices) ).
fof(dt_g3_lattices,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( v3_lattices(g3_lattices(X1,X2,X3))
& l3_lattices(g3_lattices(X1,X2,X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',dt_g3_lattices) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',redefinition_m2_relset_1) ).
fof(dt_u2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',dt_u2_lattices) ).
fof(dt_u1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',dt_u1_lattices) ).
fof(free_g3_lattices,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',free_g3_lattices) ).
fof(d2_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',d2_lattice2) ).
fof(t45_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ! [X5] :
( ( ~ v1_xboole_0(X5)
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ( k20_filter_2(X1,X2,X3) = k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3))
& k20_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3)) = k5_filter_0(X1,X2,X3)
& k20_filter_2(k1_lattice2(X1),X4,X5) = k5_filter_0(X1,k8_filter_2(X1,X4),k8_filter_2(X1,X5))
& k20_filter_2(X1,k8_filter_2(X1,X4),k8_filter_2(X1,X5)) = k5_filter_0(k1_lattice2(X1),X4,X5) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',t45_filter_2) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',rc1_subset_1) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',dt_m2_filter_2) ).
fof(redefinition_k15_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',redefinition_k15_filter_2) ).
fof(dt_m2_lattice4,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('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',dt_m2_lattice4) ).
fof(dt_k15_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',dt_k15_filter_2) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',redefinition_m1_filter_2) ).
fof(t49_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ( r1_tarski(X2,k5_filter_0(X1,X2,X3))
& r1_tarski(X3,k5_filter_0(X1,X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',t49_filter_0) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',fc6_lattice2) ).
fof(cc2_lattices,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('/export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p',cc2_lattices) ).
fof(c_0_33,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k8_filter_2]) ).
fof(c_0_34,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ! [X3] :
( m2_filter_2(X3,X1)
=> ( r1_tarski(X2,k20_filter_2(X1,X2,X3))
& r1_tarski(X3,k20_filter_2(X1,X2,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t51_filter_2])]) ).
fof(c_0_35,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d7_filter_2]) ).
fof(c_0_36,plain,
! [X83,X84] :
( v3_struct_0(X83)
| ~ v10_lattices(X83)
| ~ l3_lattices(X83)
| ~ m1_subset_1(X84,k1_zfmisc_1(u1_struct_0(k1_lattice2(X83))))
| m1_subset_1(k8_filter_2(X83,X84),k1_zfmisc_1(u1_struct_0(X83))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
fof(c_0_37,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& m2_filter_2(esk3_0,esk1_0)
& ( ~ r1_tarski(esk2_0,k20_filter_2(esk1_0,esk2_0,esk3_0))
| ~ r1_tarski(esk3_0,k20_filter_2(esk1_0,esk2_0,esk3_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_38,plain,
! [X46,X47] :
( v3_struct_0(X46)
| ~ v10_lattices(X46)
| ~ l3_lattices(X46)
| ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(k1_lattice2(X46))))
| k8_filter_2(X46,X47) = X47 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
( v3_struct_0(X1)
| k8_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_44,plain,
! [X216,X217] :
( ( ~ m1_subset_1(X216,k1_zfmisc_1(X217))
| r1_tarski(X216,X217) )
& ( ~ r1_tarski(X216,X217)
| m1_subset_1(X216,k1_zfmisc_1(X217)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_45,plain,
! [X208] : r1_tarski(X208,X208),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_46,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(fof_simplification,[status(thm)],[dt_k7_filter_2]) ).
fof(c_0_47,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d6_filter_2]) ).
cnf(c_0_48,negated_conjecture,
( m1_subset_1(k8_filter_2(esk1_0,X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( k8_filter_2(esk1_0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_50,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_52,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
fof(c_0_53,plain,
! [X81,X82] :
( v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ l3_lattices(X81)
| ~ m1_subset_1(X82,k1_zfmisc_1(u1_struct_0(X81)))
| m1_subset_1(k7_filter_2(X81,X82),k1_zfmisc_1(u1_struct_0(k1_lattice2(X81)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).
fof(c_0_54,plain,
! [X44,X45] :
( v3_struct_0(X44)
| ~ v10_lattices(X44)
| ~ l3_lattices(X44)
| ~ m1_subset_1(X45,k1_zfmisc_1(u1_struct_0(X44)))
| k7_filter_2(X44,X45) = X45 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
fof(c_0_55,plain,
! [X226,X227,X228] :
( ~ r2_hidden(X226,X227)
| ~ m1_subset_1(X227,k1_zfmisc_1(X228))
| m1_subset_1(X226,X228) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_56,negated_conjecture,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_58,plain,
! [X209,X210] :
( ~ r2_hidden(X209,X210)
| m1_subset_1(X209,X210) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_59,plain,
! [X213,X214] :
( ( ~ r2_hidden(esk34_2(X213,X214),X213)
| ~ r2_hidden(esk34_2(X213,X214),X214)
| X213 = X214 )
& ( r2_hidden(esk34_2(X213,X214),X213)
| r2_hidden(esk34_2(X213,X214),X214)
| X213 = X214 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
fof(c_0_60,plain,
! [X126] :
( ( ~ v3_struct_0(k1_lattice2(X126))
| v3_struct_0(X126)
| ~ l3_lattices(X126) )
& ( v3_lattices(k1_lattice2(X126))
| v3_struct_0(X126)
| ~ l3_lattices(X126) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).
fof(c_0_61,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_62,plain,
! [X87] :
( ( l1_lattices(X87)
| ~ l3_lattices(X87) )
& ( l2_lattices(X87)
| ~ l3_lattices(X87) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
fof(c_0_63,plain,
! [X56] :
( ( v3_lattices(k1_lattice2(X56))
| ~ l3_lattices(X56) )
& ( l3_lattices(k1_lattice2(X56))
| ~ l3_lattices(X56) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
cnf(c_0_64,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_65,plain,
( v3_struct_0(X1)
| k7_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_66,plain,
! [X211,X212] :
( ~ m1_subset_1(X211,X212)
| v1_xboole_0(X212)
| r2_hidden(X211,X212) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_67,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_68,negated_conjecture,
m1_subset_1(u1_struct_0(k1_lattice2(esk1_0)),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_69,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_70,plain,
( r2_hidden(esk34_2(X1,X2),X1)
| r2_hidden(esk34_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_71,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_72,plain,
! [X127] :
( v3_struct_0(X127)
| ~ l1_struct_0(X127)
| ~ v1_xboole_0(u1_struct_0(X127)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
cnf(c_0_73,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_74,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_75,negated_conjecture,
( m1_subset_1(k7_filter_2(esk1_0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_76,negated_conjecture,
( k7_filter_2(esk1_0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_77,plain,
( X1 = X2
| ~ r2_hidden(esk34_2(X1,X2),X1)
| ~ r2_hidden(esk34_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_78,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_79,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,u1_struct_0(k1_lattice2(esk1_0))) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_80,plain,
( X1 = X2
| m1_subset_1(esk34_2(X1,X2),X2)
| r2_hidden(esk34_2(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_81,negated_conjecture,
~ v3_struct_0(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_41]),c_0_42]) ).
cnf(c_0_82,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
fof(c_0_83,plain,
! [X86] :
( ~ l2_lattices(X86)
| l1_struct_0(X86) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_lattices])]) ).
cnf(c_0_84,plain,
( l2_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_85,negated_conjecture,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
fof(c_0_86,plain,
! [X10] :
( ~ l3_lattices(X10)
| ~ v3_lattices(X10)
| X10 = g3_lattices(u1_struct_0(X10),u2_lattices(X10),u1_lattices(X10)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).
cnf(c_0_87,plain,
( X1 = X2
| v1_xboole_0(X2)
| ~ m1_subset_1(esk34_2(X1,X2),X2)
| ~ r2_hidden(esk34_2(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_88,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = X1
| m1_subset_1(esk34_2(u1_struct_0(k1_lattice2(esk1_0)),X1),u1_struct_0(esk1_0))
| m1_subset_1(esk34_2(u1_struct_0(k1_lattice2(esk1_0)),X1),X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_89,negated_conjecture,
( ~ l1_struct_0(k1_lattice2(esk1_0))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0))) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_90,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_91,negated_conjecture,
l2_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_84,c_0_41]) ).
cnf(c_0_92,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_42,c_0_82]) ).
cnf(c_0_93,negated_conjecture,
l2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_73,c_0_41]) ).
cnf(c_0_94,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ r2_hidden(X1,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_85]) ).
fof(c_0_95,plain,
! [X51,X52,X53] :
( ( v3_lattices(g3_lattices(X51,X52,X53))
| ~ v1_funct_1(X52)
| ~ v1_funct_2(X52,k2_zfmisc_1(X51,X51),X51)
| ~ m1_relset_1(X52,k2_zfmisc_1(X51,X51),X51)
| ~ v1_funct_1(X53)
| ~ v1_funct_2(X53,k2_zfmisc_1(X51,X51),X51)
| ~ m1_relset_1(X53,k2_zfmisc_1(X51,X51),X51) )
& ( l3_lattices(g3_lattices(X51,X52,X53))
| ~ v1_funct_1(X52)
| ~ v1_funct_2(X52,k2_zfmisc_1(X51,X51),X51)
| ~ m1_relset_1(X52,k2_zfmisc_1(X51,X51),X51)
| ~ v1_funct_1(X53)
| ~ v1_funct_2(X53,k2_zfmisc_1(X51,X51),X51)
| ~ m1_relset_1(X53,k2_zfmisc_1(X51,X51),X51) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])]) ).
cnf(c_0_96,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_97,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_98,plain,
( X1 = X2
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(esk34_2(X1,X2),X2)
| ~ m1_subset_1(esk34_2(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_78]) ).
cnf(c_0_99,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0)
| m1_subset_1(esk34_2(u1_struct_0(k1_lattice2(esk1_0)),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)) ),
inference(ef,[status(thm)],[c_0_88]) ).
cnf(c_0_100,negated_conjecture,
~ v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91])]) ).
cnf(c_0_101,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_90]),c_0_93])]) ).
cnf(c_0_102,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ r2_hidden(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_94,c_0_57]) ).
fof(c_0_103,plain,
! [X205,X206,X207] :
( ( ~ m2_relset_1(X207,X205,X206)
| m1_relset_1(X207,X205,X206) )
& ( ~ m1_relset_1(X207,X205,X206)
| m2_relset_1(X207,X205,X206) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_104,plain,
! [X100] :
( ( v1_funct_1(u2_lattices(X100))
| ~ l2_lattices(X100) )
& ( v1_funct_2(u2_lattices(X100),k2_zfmisc_1(u1_struct_0(X100),u1_struct_0(X100)),u1_struct_0(X100))
| ~ l2_lattices(X100) )
& ( m2_relset_1(u2_lattices(X100),k2_zfmisc_1(u1_struct_0(X100),u1_struct_0(X100)),u1_struct_0(X100))
| ~ l2_lattices(X100) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])]) ).
fof(c_0_105,plain,
! [X99] :
( ( v1_funct_1(u1_lattices(X99))
| ~ l1_lattices(X99) )
& ( v1_funct_2(u1_lattices(X99),k2_zfmisc_1(u1_struct_0(X99),u1_struct_0(X99)),u1_struct_0(X99))
| ~ l1_lattices(X99) )
& ( m2_relset_1(u1_lattices(X99),k2_zfmisc_1(u1_struct_0(X99),u1_struct_0(X99)),u1_struct_0(X99))
| ~ l1_lattices(X99) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])]) ).
cnf(c_0_106,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_107,plain,
! [X164,X165,X166,X167,X168,X169] :
( ( X164 = X167
| g3_lattices(X164,X165,X166) != g3_lattices(X167,X168,X169)
| ~ v1_funct_1(X165)
| ~ v1_funct_2(X165,k2_zfmisc_1(X164,X164),X164)
| ~ m1_relset_1(X165,k2_zfmisc_1(X164,X164),X164)
| ~ v1_funct_1(X166)
| ~ v1_funct_2(X166,k2_zfmisc_1(X164,X164),X164)
| ~ m1_relset_1(X166,k2_zfmisc_1(X164,X164),X164) )
& ( X165 = X168
| g3_lattices(X164,X165,X166) != g3_lattices(X167,X168,X169)
| ~ v1_funct_1(X165)
| ~ v1_funct_2(X165,k2_zfmisc_1(X164,X164),X164)
| ~ m1_relset_1(X165,k2_zfmisc_1(X164,X164),X164)
| ~ v1_funct_1(X166)
| ~ v1_funct_2(X166,k2_zfmisc_1(X164,X164),X164)
| ~ m1_relset_1(X166,k2_zfmisc_1(X164,X164),X164) )
& ( X166 = X169
| g3_lattices(X164,X165,X166) != g3_lattices(X167,X168,X169)
| ~ v1_funct_1(X165)
| ~ v1_funct_2(X165,k2_zfmisc_1(X164,X164),X164)
| ~ m1_relset_1(X165,k2_zfmisc_1(X164,X164),X164)
| ~ v1_funct_1(X166)
| ~ v1_funct_2(X166,k2_zfmisc_1(X164,X164),X164)
| ~ m1_relset_1(X166,k2_zfmisc_1(X164,X164),X164) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])]) ).
cnf(c_0_108,plain,
( l3_lattices(g3_lattices(X1,X2,X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_109,plain,
( v3_lattices(g3_lattices(X1,X2,X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_110,plain,
( g3_lattices(u1_struct_0(k1_lattice2(X1)),u2_lattices(k1_lattice2(X1)),u1_lattices(k1_lattice2(X1))) = k1_lattice2(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_74]),c_0_97]) ).
cnf(c_0_111,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0)
| ~ m1_subset_1(esk34_2(u1_struct_0(k1_lattice2(esk1_0)),u1_struct_0(esk1_0)),u1_struct_0(k1_lattice2(esk1_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_101]) ).
cnf(c_0_112,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_78]),c_0_101]) ).
cnf(c_0_113,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_114,plain,
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_115,plain,
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_116,plain,
( l1_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_74]) ).
cnf(c_0_117,plain,
( X1 = X2
| g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_118,plain,
( g3_lattices(u1_struct_0(g3_lattices(X1,X2,X3)),u2_lattices(g3_lattices(X1,X2,X3)),u1_lattices(g3_lattices(X1,X2,X3))) = g3_lattices(X1,X2,X3)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_108]),c_0_109]) ).
cnf(c_0_119,negated_conjecture,
g3_lattices(u1_struct_0(k1_lattice2(esk1_0)),u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) = k1_lattice2(esk1_0),
inference(spm,[status(thm)],[c_0_110,c_0_41]) ).
cnf(c_0_120,negated_conjecture,
u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_99]) ).
cnf(c_0_121,plain,
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_122,plain,
( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_115]) ).
cnf(c_0_123,negated_conjecture,
l1_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_116,c_0_41]) ).
cnf(c_0_124,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_125,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_126,plain,
( u1_lattices(g3_lattices(X1,X2,X3)) = X4
| g3_lattices(X1,X2,X3) != g3_lattices(X5,X6,X4)
| ~ m1_relset_1(u2_lattices(g3_lattices(X1,X2,X3)),k2_zfmisc_1(u1_struct_0(g3_lattices(X1,X2,X3)),u1_struct_0(g3_lattices(X1,X2,X3))),u1_struct_0(g3_lattices(X1,X2,X3)))
| ~ m1_relset_1(u1_lattices(g3_lattices(X1,X2,X3)),k2_zfmisc_1(u1_struct_0(g3_lattices(X1,X2,X3)),u1_struct_0(g3_lattices(X1,X2,X3))),u1_struct_0(g3_lattices(X1,X2,X3)))
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(g3_lattices(X1,X2,X3)),k2_zfmisc_1(u1_struct_0(g3_lattices(X1,X2,X3)),u1_struct_0(g3_lattices(X1,X2,X3))),u1_struct_0(g3_lattices(X1,X2,X3)))
| ~ v1_funct_2(u1_lattices(g3_lattices(X1,X2,X3)),k2_zfmisc_1(u1_struct_0(g3_lattices(X1,X2,X3)),u1_struct_0(g3_lattices(X1,X2,X3))),u1_struct_0(g3_lattices(X1,X2,X3)))
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u2_lattices(g3_lattices(X1,X2,X3)))
| ~ v1_funct_1(u1_lattices(g3_lattices(X1,X2,X3)))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_127,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) = k1_lattice2(esk1_0),
inference(rw,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_128,negated_conjecture,
m1_relset_1(u2_lattices(k1_lattice2(esk1_0)),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_120]),c_0_91])]) ).
cnf(c_0_129,negated_conjecture,
m1_relset_1(u1_lattices(k1_lattice2(esk1_0)),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_120]),c_0_123])]) ).
cnf(c_0_130,negated_conjecture,
v1_funct_2(u2_lattices(k1_lattice2(esk1_0)),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_120]),c_0_91])]) ).
cnf(c_0_131,negated_conjecture,
v1_funct_2(u1_lattices(k1_lattice2(esk1_0)),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_120]),c_0_123])]) ).
fof(c_0_132,plain,
! [X38] :
( ~ l3_lattices(X38)
| k1_lattice2(X38) = g3_lattices(u1_struct_0(X38),u1_lattices(X38),u2_lattices(X38)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_lattice2])]) ).
cnf(c_0_133,negated_conjecture,
( u1_lattices(k1_lattice2(esk1_0)) = X1
| k1_lattice2(esk1_0) != g3_lattices(X2,X3,X1)
| ~ v1_funct_1(u2_lattices(k1_lattice2(esk1_0)))
| ~ v1_funct_1(u1_lattices(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_120]),c_0_120]),c_0_120]),c_0_128]),c_0_120]),c_0_120]),c_0_120]),c_0_129]),c_0_129]),c_0_128]),c_0_120]),c_0_120]),c_0_120]),c_0_130]),c_0_120]),c_0_120]),c_0_120]),c_0_131]),c_0_131]),c_0_130])]) ).
cnf(c_0_134,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_135,plain,
( k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_136,negated_conjecture,
( u1_lattices(k1_lattice2(esk1_0)) = X1
| k1_lattice2(esk1_0) != g3_lattices(X2,X3,X1)
| ~ v1_funct_1(u2_lattices(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_123])]) ).
cnf(c_0_137,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u1_lattices(esk1_0),u2_lattices(esk1_0)) = k1_lattice2(esk1_0),
inference(spm,[status(thm)],[c_0_135,c_0_41]) ).
cnf(c_0_138,negated_conjecture,
( u1_lattices(k1_lattice2(esk1_0)) = u2_lattices(esk1_0)
| ~ v1_funct_1(u2_lattices(k1_lattice2(esk1_0))) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_139,plain,
( X1 = X2
| g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_140,negated_conjecture,
( v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u2_lattices(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_138]),c_0_123])]) ).
cnf(c_0_141,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_142,negated_conjecture,
( m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_138]),c_0_120]),c_0_120]),c_0_120]),c_0_123])]) ).
cnf(c_0_143,negated_conjecture,
( v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_138]),c_0_120]),c_0_120]),c_0_120]),c_0_123])]) ).
fof(c_0_144,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ! [X5] :
( ( ~ v1_xboole_0(X5)
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ( k20_filter_2(X1,X2,X3) = k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3))
& k20_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3)) = k5_filter_0(X1,X2,X3)
& k20_filter_2(k1_lattice2(X1),X4,X5) = k5_filter_0(X1,k8_filter_2(X1,X4),k8_filter_2(X1,X5))
& k20_filter_2(X1,k8_filter_2(X1,X4),k8_filter_2(X1,X5)) = k5_filter_0(k1_lattice2(X1),X4,X5) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t45_filter_2]) ).
fof(c_0_145,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(c_0_146,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_147,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k15_filter_2]) ).
cnf(c_0_148,negated_conjecture,
( u1_lattices(esk1_0) = X1
| k1_lattice2(esk1_0) != g3_lattices(X2,X1,X3)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0)) ),
inference(spm,[status(thm)],[c_0_139,c_0_137]) ).
cnf(c_0_149,negated_conjecture,
v1_funct_1(u2_lattices(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_91])]) ).
cnf(c_0_150,negated_conjecture,
m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_141]),c_0_91])]) ).
cnf(c_0_151,negated_conjecture,
v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_141]),c_0_91])]) ).
cnf(c_0_152,negated_conjecture,
( X1 = u1_lattices(esk1_0)
| g3_lattices(X2,X1,X3) != k1_lattice2(esk1_0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_137]) ).
cnf(c_0_153,negated_conjecture,
( g3_lattices(u1_struct_0(esk1_0),u2_lattices(k1_lattice2(esk1_0)),u2_lattices(esk1_0)) = k1_lattice2(esk1_0)
| ~ v1_funct_1(u2_lattices(k1_lattice2(esk1_0))) ),
inference(spm,[status(thm)],[c_0_127,c_0_138]) ).
fof(c_0_154,plain,
! [X218,X219,X220,X221,X222] :
( ( k20_filter_2(X218,X219,X220) = k5_filter_0(k1_lattice2(X218),k7_filter_2(X218,X219),k7_filter_2(X218,X220))
| v1_xboole_0(X222)
| ~ m1_subset_1(X222,k1_zfmisc_1(u1_struct_0(k1_lattice2(X218))))
| v1_xboole_0(X221)
| ~ m1_subset_1(X221,k1_zfmisc_1(u1_struct_0(k1_lattice2(X218))))
| v1_xboole_0(X220)
| ~ m1_subset_1(X220,k1_zfmisc_1(u1_struct_0(X218)))
| v1_xboole_0(X219)
| ~ m1_subset_1(X219,k1_zfmisc_1(u1_struct_0(X218)))
| v3_struct_0(X218)
| ~ v10_lattices(X218)
| ~ l3_lattices(X218) )
& ( k20_filter_2(k1_lattice2(X218),k7_filter_2(X218,X219),k7_filter_2(X218,X220)) = k5_filter_0(X218,X219,X220)
| v1_xboole_0(X222)
| ~ m1_subset_1(X222,k1_zfmisc_1(u1_struct_0(k1_lattice2(X218))))
| v1_xboole_0(X221)
| ~ m1_subset_1(X221,k1_zfmisc_1(u1_struct_0(k1_lattice2(X218))))
| v1_xboole_0(X220)
| ~ m1_subset_1(X220,k1_zfmisc_1(u1_struct_0(X218)))
| v1_xboole_0(X219)
| ~ m1_subset_1(X219,k1_zfmisc_1(u1_struct_0(X218)))
| v3_struct_0(X218)
| ~ v10_lattices(X218)
| ~ l3_lattices(X218) )
& ( k20_filter_2(k1_lattice2(X218),X221,X222) = k5_filter_0(X218,k8_filter_2(X218,X221),k8_filter_2(X218,X222))
| v1_xboole_0(X222)
| ~ m1_subset_1(X222,k1_zfmisc_1(u1_struct_0(k1_lattice2(X218))))
| v1_xboole_0(X221)
| ~ m1_subset_1(X221,k1_zfmisc_1(u1_struct_0(k1_lattice2(X218))))
| v1_xboole_0(X220)
| ~ m1_subset_1(X220,k1_zfmisc_1(u1_struct_0(X218)))
| v1_xboole_0(X219)
| ~ m1_subset_1(X219,k1_zfmisc_1(u1_struct_0(X218)))
| v3_struct_0(X218)
| ~ v10_lattices(X218)
| ~ l3_lattices(X218) )
& ( k20_filter_2(X218,k8_filter_2(X218,X221),k8_filter_2(X218,X222)) = k5_filter_0(k1_lattice2(X218),X221,X222)
| v1_xboole_0(X222)
| ~ m1_subset_1(X222,k1_zfmisc_1(u1_struct_0(k1_lattice2(X218))))
| v1_xboole_0(X221)
| ~ m1_subset_1(X221,k1_zfmisc_1(u1_struct_0(k1_lattice2(X218))))
| v1_xboole_0(X220)
| ~ m1_subset_1(X220,k1_zfmisc_1(u1_struct_0(X218)))
| v1_xboole_0(X219)
| ~ m1_subset_1(X219,k1_zfmisc_1(u1_struct_0(X218)))
| v3_struct_0(X218)
| ~ v10_lattices(X218)
| ~ l3_lattices(X218) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_144])])])]) ).
fof(c_0_155,plain,
! [X174] :
( ( m1_subset_1(esk22_1(X174),k1_zfmisc_1(X174))
| v1_xboole_0(X174) )
& ( ~ v1_xboole_0(esk22_1(X174))
| v1_xboole_0(X174) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_145])])])]) ).
fof(c_0_156,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)],[dt_m2_lattice4]) ).
fof(c_0_157,plain,
! [X92,X93] :
( ( ~ v1_xboole_0(X93)
| ~ m2_filter_2(X93,X92)
| v3_struct_0(X92)
| ~ v10_lattices(X92)
| ~ l3_lattices(X92) )
& ( m2_lattice4(X93,X92)
| ~ m2_filter_2(X93,X92)
| v3_struct_0(X92)
| ~ v10_lattices(X92)
| ~ l3_lattices(X92) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_146])])])]) ).
fof(c_0_158,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k15_filter_2]) ).
fof(c_0_159,plain,
! [X189,X190] :
( v3_struct_0(X189)
| ~ v10_lattices(X189)
| ~ l3_lattices(X189)
| ~ m2_filter_2(X190,X189)
| k15_filter_2(X189,X190) = k7_filter_2(X189,X190) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_147])]) ).
cnf(c_0_160,negated_conjecture,
( u1_lattices(esk1_0) = X1
| k1_lattice2(esk1_0) != g3_lattices(X2,X1,X3)
| ~ m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149])]),c_0_150]),c_0_151])]) ).
cnf(c_0_161,negated_conjecture,
( u1_lattices(esk1_0) = u2_lattices(k1_lattice2(esk1_0))
| ~ v1_funct_1(u2_lattices(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_150]),c_0_128]),c_0_151]),c_0_130]),c_0_149])]) ).
cnf(c_0_162,plain,
( k20_filter_2(X1,X2,X3) = k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3))
| v1_xboole_0(X4)
| v1_xboole_0(X5)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_163,plain,
( m1_subset_1(esk22_1(X1),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_164,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk22_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
fof(c_0_165,plain,
! [X94,X95] :
( v3_struct_0(X94)
| ~ v10_lattices(X94)
| ~ l3_lattices(X94)
| ~ m2_lattice4(X95,X94)
| m1_subset_1(X95,k1_zfmisc_1(u1_struct_0(X94))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_156])])]) ).
cnf(c_0_166,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_167,negated_conjecture,
m2_filter_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_168,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_169,plain,
! [X54,X55] :
( v3_struct_0(X54)
| ~ v10_lattices(X54)
| ~ l3_lattices(X54)
| ~ m2_filter_2(X55,X54)
| m1_filter_2(k15_filter_2(X54,X55),k1_lattice2(X54)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_158])]) ).
cnf(c_0_170,plain,
( v3_struct_0(X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_171,negated_conjecture,
( u2_lattices(k1_lattice2(esk1_0)) = X1
| k1_lattice2(esk1_0) != g3_lattices(X2,X1,X3)
| ~ v1_funct_1(u2_lattices(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_128]),c_0_130])]) ).
cnf(c_0_172,plain,
( k20_filter_2(X1,X2,X3) = k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3))
| v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X4)
| v3_struct_0(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]) ).
cnf(c_0_173,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_174,negated_conjecture,
m2_lattice4(esk3_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_41]),c_0_40])]),c_0_42]) ).
cnf(c_0_175,negated_conjecture,
m2_lattice4(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_168]),c_0_41]),c_0_40])]),c_0_42]) ).
cnf(c_0_176,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
fof(c_0_177,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)],[redefinition_m1_filter_2]) ).
cnf(c_0_178,plain,
( v3_struct_0(X1)
| m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_179,negated_conjecture,
k15_filter_2(esk1_0,esk3_0) = k7_filter_2(esk1_0,esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_167]),c_0_41]),c_0_40])]),c_0_42]) ).
cnf(c_0_180,negated_conjecture,
( u2_lattices(k1_lattice2(esk1_0)) = X1
| k1_lattice2(esk1_0) != g3_lattices(X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_141]),c_0_91])]) ).
cnf(c_0_181,negated_conjecture,
k15_filter_2(esk1_0,esk2_0) = k7_filter_2(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_168]),c_0_41]),c_0_40])]),c_0_42]) ).
cnf(c_0_182,negated_conjecture,
( ~ r1_tarski(esk2_0,k20_filter_2(esk1_0,esk2_0,esk3_0))
| ~ r1_tarski(esk3_0,k20_filter_2(esk1_0,esk2_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_183,plain,
( k20_filter_2(X1,X2,X3) = k5_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2),k7_filter_2(X1,X3))
| v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_163]),c_0_164]) ).
cnf(c_0_184,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_41]),c_0_40])]),c_0_42]) ).
cnf(c_0_185,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_175]),c_0_41]),c_0_40])]),c_0_42]) ).
cnf(c_0_186,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_167]),c_0_41]),c_0_40])]),c_0_42]) ).
cnf(c_0_187,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_168]),c_0_41]),c_0_40])]),c_0_42]) ).
fof(c_0_188,plain,
! [X203,X204] :
( ( ~ m1_filter_2(X204,X203)
| m1_filter_0(X204,X203)
| v3_struct_0(X203)
| ~ v10_lattices(X203)
| ~ l3_lattices(X203) )
& ( ~ m1_filter_0(X204,X203)
| m1_filter_2(X204,X203)
| v3_struct_0(X203)
| ~ v10_lattices(X203)
| ~ l3_lattices(X203) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_177])])])]) ).
cnf(c_0_189,negated_conjecture,
m1_filter_2(k7_filter_2(esk1_0,esk3_0),k1_lattice2(esk1_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_167]),c_0_41]),c_0_40])]),c_0_42]),c_0_179]) ).
cnf(c_0_190,negated_conjecture,
u1_lattices(esk1_0) = u2_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_180,c_0_137]) ).
cnf(c_0_191,negated_conjecture,
l1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_106,c_0_41]) ).
cnf(c_0_192,negated_conjecture,
m1_filter_2(k7_filter_2(esk1_0,esk2_0),k1_lattice2(esk1_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_168]),c_0_41]),c_0_40])]),c_0_42]),c_0_181]) ).
cnf(c_0_193,negated_conjecture,
( ~ r1_tarski(esk2_0,k5_filter_0(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk2_0),k7_filter_2(esk1_0,esk3_0)))
| ~ r1_tarski(esk3_0,k5_filter_0(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk2_0),k7_filter_2(esk1_0,esk3_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_120]),c_0_184]),c_0_185]),c_0_41]),c_0_40])]),c_0_101]),c_0_186]),c_0_187]),c_0_42]) ).
fof(c_0_194,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ( r1_tarski(X2,k5_filter_0(X1,X2,X3))
& r1_tarski(X3,k5_filter_0(X1,X2,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t49_filter_0]) ).
cnf(c_0_195,plain,
( m1_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_196,negated_conjecture,
m1_filter_2(esk3_0,k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_76]),c_0_184])]) ).
cnf(c_0_197,negated_conjecture,
( l3_lattices(k1_lattice2(esk1_0))
| ~ v1_funct_1(u2_lattices(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_153]),c_0_150]),c_0_128]),c_0_151]),c_0_130]),c_0_149])]) ).
cnf(c_0_198,negated_conjecture,
v1_funct_1(u2_lattices(k1_lattice2(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_190]),c_0_191])]) ).
cnf(c_0_199,negated_conjecture,
m1_filter_2(esk2_0,k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_76]),c_0_185])]) ).
cnf(c_0_200,negated_conjecture,
( ~ r1_tarski(esk2_0,k5_filter_0(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk2_0),esk3_0))
| ~ r1_tarski(esk3_0,k5_filter_0(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk2_0),esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_76]),c_0_184])]) ).
fof(c_0_201,plain,
! [X223,X224,X225] :
( ( r1_tarski(X224,k5_filter_0(X223,X224,X225))
| ~ m1_filter_0(X225,X223)
| ~ m1_filter_0(X224,X223)
| v3_struct_0(X223)
| ~ v10_lattices(X223)
| ~ l3_lattices(X223) )
& ( r1_tarski(X225,k5_filter_0(X223,X224,X225))
| ~ m1_filter_0(X225,X223)
| ~ m1_filter_0(X224,X223)
| v3_struct_0(X223)
| ~ v10_lattices(X223)
| ~ l3_lattices(X223) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_194])])])]) ).
cnf(c_0_202,negated_conjecture,
( m1_filter_0(esk3_0,k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_81]) ).
cnf(c_0_203,negated_conjecture,
l3_lattices(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_198])]) ).
cnf(c_0_204,negated_conjecture,
( m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_199]),c_0_81]) ).
fof(c_0_205,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
cnf(c_0_206,negated_conjecture,
( ~ r1_tarski(esk2_0,k5_filter_0(k1_lattice2(esk1_0),esk2_0,esk3_0))
| ~ r1_tarski(esk3_0,k5_filter_0(k1_lattice2(esk1_0),esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_76]),c_0_185])]) ).
cnf(c_0_207,plain,
( r1_tarski(X1,k5_filter_0(X2,X3,X1))
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ m1_filter_0(X3,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
cnf(c_0_208,negated_conjecture,
( m1_filter_0(esk3_0,k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_203])]) ).
cnf(c_0_209,negated_conjecture,
( m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_203])]) ).
fof(c_0_210,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)],[cc2_lattices]) ).
fof(c_0_211,plain,
! [X147] :
( ( ~ v3_struct_0(k1_lattice2(X147))
| v3_struct_0(X147)
| ~ v10_lattices(X147)
| ~ l3_lattices(X147) )
& ( v3_lattices(k1_lattice2(X147))
| v3_struct_0(X147)
| ~ v10_lattices(X147)
| ~ l3_lattices(X147) )
& ( v4_lattices(k1_lattice2(X147))
| v3_struct_0(X147)
| ~ v10_lattices(X147)
| ~ l3_lattices(X147) )
& ( v5_lattices(k1_lattice2(X147))
| v3_struct_0(X147)
| ~ v10_lattices(X147)
| ~ l3_lattices(X147) )
& ( v6_lattices(k1_lattice2(X147))
| v3_struct_0(X147)
| ~ v10_lattices(X147)
| ~ l3_lattices(X147) )
& ( v7_lattices(k1_lattice2(X147))
| v3_struct_0(X147)
| ~ v10_lattices(X147)
| ~ l3_lattices(X147) )
& ( v8_lattices(k1_lattice2(X147))
| v3_struct_0(X147)
| ~ v10_lattices(X147)
| ~ l3_lattices(X147) )
& ( v9_lattices(k1_lattice2(X147))
| v3_struct_0(X147)
| ~ v10_lattices(X147)
| ~ l3_lattices(X147) )
& ( v10_lattices(k1_lattice2(X147))
| v3_struct_0(X147)
| ~ v10_lattices(X147)
| ~ l3_lattices(X147) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_205])])]) ).
cnf(c_0_212,negated_conjecture,
( ~ r1_tarski(esk2_0,k5_filter_0(k1_lattice2(esk1_0),esk2_0,esk3_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_203])]),c_0_81]),c_0_208]),c_0_209]) ).
cnf(c_0_213,plain,
( r1_tarski(X1,k5_filter_0(X2,X1,X3))
| v3_struct_0(X2)
| ~ m1_filter_0(X3,X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
fof(c_0_214,plain,
! [X20] :
( ( ~ v3_struct_0(X20)
| v3_struct_0(X20)
| ~ v4_lattices(X20)
| ~ v5_lattices(X20)
| ~ v6_lattices(X20)
| ~ v7_lattices(X20)
| ~ v8_lattices(X20)
| ~ v9_lattices(X20)
| ~ l3_lattices(X20) )
& ( v10_lattices(X20)
| v3_struct_0(X20)
| ~ v4_lattices(X20)
| ~ v5_lattices(X20)
| ~ v6_lattices(X20)
| ~ v7_lattices(X20)
| ~ v8_lattices(X20)
| ~ v9_lattices(X20)
| ~ l3_lattices(X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_210])])]) ).
cnf(c_0_215,plain,
( v9_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_216,plain,
( v8_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_217,plain,
( v7_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_218,plain,
( v6_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_219,plain,
( v5_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_220,plain,
( v4_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_221,negated_conjecture,
~ v10_lattices(k1_lattice2(esk1_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_203])]),c_0_81]),c_0_209]),c_0_208]) ).
cnf(c_0_222,plain,
( 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)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_214]) ).
cnf(c_0_223,negated_conjecture,
v9_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_224,negated_conjecture,
v8_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_225,negated_conjecture,
v7_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_226,negated_conjecture,
v6_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_227,negated_conjecture,
v5_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_228,negated_conjecture,
v4_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_229,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]),c_0_224]),c_0_225]),c_0_226]),c_0_227]),c_0_228]),c_0_203])]),c_0_81]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : LAT317+1 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n010.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 2400
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Oct 2 10:42:50 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.8A7cD8qhzo/E---3.1_14471.p
% 2176.29/283.48 # Version: 3.1pre001
% 2176.29/283.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2176.29/283.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2176.29/283.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2176.29/283.48 # Starting new_bool_3 with 300s (1) cores
% 2176.29/283.48 # Starting new_bool_1 with 300s (1) cores
% 2176.29/283.48 # Starting sh5l with 300s (1) cores
% 2176.29/283.48 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 14548 completed with status 0
% 2176.29/283.48 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2176.29/283.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2176.29/283.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2176.29/283.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2176.29/283.48 # No SInE strategy applied
% 2176.29/283.48 # Search class: FGHSM-FSLM32-MFFFFFNN
% 2176.29/283.48 # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 2176.29/283.48 # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 2176.29/283.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2176.29/283.48 # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 2176.29/283.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 2176.29/283.48 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with 123s (1) cores
% 2176.29/283.48 # U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 14557 completed with status 7
% 2176.29/283.48 # Starting G-E--_042_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 123s (1) cores
% 2176.29/283.48 # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 14558 completed with status 7
% 2176.29/283.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S00 with 123s (1) cores
% 2176.29/283.48 # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with pid 14559 completed with status 7
% 2176.29/283.48 # Starting 208_C18_F1_SE_CS_SP_PS_S5PRR_S028N with 123s (1) cores
% 2176.29/283.48 # G-E--_303_C18_F1_URBAN_S0Y with pid 14555 completed with status 7
% 2176.29/283.48 # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 123s (1) cores
% 2176.29/283.48 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 14556 completed with status 7
% 2176.29/283.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 123s (1) cores
% 2176.29/283.48 # G-E--_042_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 14584 completed with status 7
% 2176.29/283.48 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 123s (1) cores
% 2176.29/283.48 # G-E--_208_C18_F1_SE_CS_SP_PS_S00 with pid 14585 completed with status 7
% 2176.29/283.48 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 119s (1) cores
% 2176.29/283.48 # U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 14588 completed with status 7
% 2176.29/283.48 # 208_C18_F1_SE_CS_SP_PS_S5PRR_S028N with pid 14587 completed with status 7
% 2176.29/283.48 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 14595 completed with status 7
% 2176.29/283.48 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 14667 completed with status 0
% 2176.29/283.48 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 2176.29/283.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2176.29/283.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2176.29/283.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2176.29/283.48 # No SInE strategy applied
% 2176.29/283.48 # Search class: FGHSM-FSLM32-MFFFFFNN
% 2176.29/283.48 # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 2176.29/283.48 # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 2176.29/283.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2176.29/283.48 # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 2176.29/283.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 2176.29/283.48 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with 123s (1) cores
% 2176.29/283.48 # U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 14557 completed with status 7
% 2176.29/283.48 # Starting G-E--_042_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 123s (1) cores
% 2176.29/283.48 # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 14558 completed with status 7
% 2176.29/283.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S00 with 123s (1) cores
% 2176.29/283.48 # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with pid 14559 completed with status 7
% 2176.29/283.48 # Starting 208_C18_F1_SE_CS_SP_PS_S5PRR_S028N with 123s (1) cores
% 2176.29/283.48 # G-E--_303_C18_F1_URBAN_S0Y with pid 14555 completed with status 7
% 2176.29/283.48 # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 123s (1) cores
% 2176.29/283.48 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 14556 completed with status 7
% 2176.29/283.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 123s (1) cores
% 2176.29/283.48 # G-E--_042_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 14584 completed with status 7
% 2176.29/283.48 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 123s (1) cores
% 2176.29/283.48 # G-E--_208_C18_F1_SE_CS_SP_PS_S00 with pid 14585 completed with status 7
% 2176.29/283.48 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 119s (1) cores
% 2176.29/283.48 # Preprocessing time : 0.004 s
% 2176.29/283.48 # Presaturation interreduction done
% 2176.29/283.48
% 2176.29/283.48 # Proof found!
% 2176.29/283.48 # SZS status Theorem
% 2176.29/283.48 # SZS output start CNFRefutation
% See solution above
% 2176.29/283.49 # Parsed axioms : 120
% 2176.29/283.49 # Removed by relevancy pruning/SinE : 0
% 2176.29/283.49 # Initial clauses : 216
% 2176.29/283.49 # Removed in clause preprocessing : 17
% 2176.29/283.49 # Initial clauses in saturation : 199
% 2176.29/283.49 # Processed clauses : 62311
% 2176.29/283.49 # ...of these trivial : 674
% 2176.29/283.49 # ...subsumed : 42999
% 2176.29/283.49 # ...remaining for further processing : 18638
% 2176.29/283.49 # Other redundant clauses eliminated : 2
% 2176.29/283.49 # Clauses deleted for lack of memory : 0
% 2176.29/283.49 # Backward-subsumed : 1591
% 2176.29/283.49 # Backward-rewritten : 1557
% 2176.29/283.49 # Generated clauses : 1568740
% 2176.29/283.49 # ...of the previous two non-redundant : 1522531
% 2176.29/283.49 # ...aggressively subsumed : 0
% 2176.29/283.49 # Contextual simplify-reflections : 520
% 2176.29/283.49 # Paramodulations : 1568488
% 2176.29/283.49 # Factorizations : 209
% 2176.29/283.49 # NegExts : 0
% 2176.29/283.49 # Equation resolutions : 8
% 2176.29/283.49 # Total rewrite steps : 1717184
% 2176.29/283.49 # Propositional unsat checks : 3
% 2176.29/283.49 # Propositional check models : 0
% 2176.29/283.49 # Propositional check unsatisfiable : 0
% 2176.29/283.49 # Propositional clauses : 0
% 2176.29/283.49 # Propositional clauses after purity: 0
% 2176.29/283.49 # Propositional unsat core size : 0
% 2176.29/283.49 # Propositional preprocessing time : 0.000
% 2176.29/283.49 # Propositional encoding time : 2.549
% 2176.29/283.49 # Propositional solver time : 1.481
% 2176.29/283.49 # Success case prop preproc time : 0.000
% 2176.29/283.49 # Success case prop encoding time : 0.000
% 2176.29/283.49 # Success case prop solver time : 0.000
% 2176.29/283.49 # Current number of processed clauses : 15274
% 2176.29/283.49 # Positive orientable unit clauses : 2522
% 2176.29/283.49 # Positive unorientable unit clauses: 1
% 2176.29/283.49 # Negative unit clauses : 191
% 2176.29/283.49 # Non-unit-clauses : 12560
% 2176.29/283.49 # Current number of unprocessed clauses: 1444052
% 2176.29/283.49 # ...number of literals in the above : 7110494
% 2176.29/283.49 # Current number of archived formulas : 0
% 2176.29/283.49 # Current number of archived clauses : 3358
% 2176.29/283.49 # Clause-clause subsumption calls (NU) : 23105587
% 2176.29/283.49 # Rec. Clause-clause subsumption calls : 5549404
% 2176.29/283.49 # Non-unit clause-clause subsumptions : 41506
% 2176.29/283.49 # Unit Clause-clause subsumption calls : 1682560
% 2176.29/283.49 # Rewrite failures with RHS unbound : 0
% 2176.29/283.49 # BW rewrite match attempts : 256002
% 2176.29/283.49 # BW rewrite match successes : 231
% 2176.29/283.49 # Condensation attempts : 0
% 2176.29/283.49 # Condensation successes : 0
% 2176.29/283.49 # Termbank termtop insertions : 61816008
% 2176.29/283.49
% 2176.29/283.49 # -------------------------------------------------
% 2176.29/283.49 # User time : 1276.567 s
% 2176.29/283.49 # System time : 19.141 s
% 2176.29/283.49 # Total time : 1295.708 s
% 2176.29/283.49 # Maximum resident set size: 2620 pages
% 2176.29/283.49
% 2176.29/283.49 # -------------------------------------------------
% 2176.29/283.49 # User time : 1311.805 s
% 2176.29/283.49 # System time : 19.918 s
% 2176.29/283.49 # Total time : 1331.723 s
% 2176.29/283.49 # Maximum resident set size: 1864 pages
% 2176.29/283.49 % E---3.1 exiting
%------------------------------------------------------------------------------