%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT322+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 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 : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:38:06 PM UTC 2026
% Result : Theorem 8.57s 6.30s
% Output : CNFRefutation 8.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 25
% Syntax : Number of formulae : 173 ( 21 unt; 0 def)
% Number of atoms : 868 ( 99 equ)
% Maximal formula atoms : 80 ( 5 avg)
% Number of connectives : 1088 ( 393 ~; 436 |; 192 &)
% ( 11 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% Number of variables : 202 ( 16 sgn 112 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(t58_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( X2 != k17_filter_2(X1)
& v1_filter_2(X2,X1) )
<=> r2_filter_2(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_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/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
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/sandbox/benchmark/theBenchmark.p',d6_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/sandbox/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
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/sandbox/benchmark/theBenchmark.p',dt_k15_filter_2) ).
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/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
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/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(t33_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_filter_2) ).
fof(fc4_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_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))
& v11_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_filter_2) ).
fof(t44_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( v1_filter_2(X2,X1)
<=> v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_filter_2) ).
fof(d2_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_0(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_filter_0) ).
fof(t58_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ( X2 != k1_filter_0(X1)
& v2_filter_0(X2,X1) )
<=> v1_filter_0(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_filter_0) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
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/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(d8_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
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/sandbox/benchmark/theBenchmark.p',dt_u1_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/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).
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/sandbox/benchmark/theBenchmark.p',dt_u2_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/sandbox/benchmark/theBenchmark.p',abstractness_v3_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/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_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/sandbox/benchmark/theBenchmark.p',d2_lattice2) ).
fof(dt_k1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(k1_filter_0(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_filter_0) ).
fof(c_0_25,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_26,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( X2 != k17_filter_2(X1)
& v1_filter_2(X2,X1) )
<=> r2_filter_2(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t58_filter_2])]) ).
fof(c_0_27,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_28,plain,
! [X192,X193] :
( ( ~ v1_xboole_0(X193)
| ~ m2_filter_2(X193,X192)
| v3_struct_0(X192)
| ~ v10_lattices(X192)
| ~ l3_lattices(X192) )
& ( m2_lattice4(X193,X192)
| ~ m2_filter_2(X193,X192)
| v3_struct_0(X192)
| ~ v10_lattices(X192)
| ~ l3_lattices(X192) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).
fof(c_0_29,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& ( esk2_0 = k17_filter_2(esk1_0)
| ~ v1_filter_2(esk2_0,esk1_0)
| ~ r2_filter_2(esk1_0,esk2_0) )
& ( esk2_0 != k17_filter_2(esk1_0)
| r2_filter_2(esk1_0,esk2_0) )
& ( v1_filter_2(esk2_0,esk1_0)
| r2_filter_2(esk1_0,esk2_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_30,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]) ).
fof(c_0_31,plain,
! [X194,X195] :
( v3_struct_0(X194)
| ~ v10_lattices(X194)
| ~ l3_lattices(X194)
| ~ m2_lattice4(X195,X194)
| m1_subset_1(X195,k1_zfmisc_1(u1_struct_0(X194))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_32,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_28]) ).
cnf(c_0_33,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_37,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]) ).
fof(c_0_38,plain,
! [X171,X172] :
( v3_struct_0(X171)
| ~ v10_lattices(X171)
| ~ l3_lattices(X171)
| ~ m1_subset_1(X172,k1_zfmisc_1(u1_struct_0(X171)))
| k7_filter_2(X171,X172) = X172 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
cnf(c_0_39,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_31]) ).
cnf(c_0_40,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_32,c_0_33]),c_0_34]),c_0_35])]),c_0_36]) ).
fof(c_0_41,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_42,plain,
! [X264,X265] :
( v3_struct_0(X264)
| ~ v10_lattices(X264)
| ~ l3_lattices(X264)
| ~ m2_filter_2(X265,X264)
| k15_filter_2(X264,X265) = k7_filter_2(X264,X265) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])]) ).
cnf(c_0_43,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_38]) ).
cnf(c_0_44,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_39,c_0_40]),c_0_34]),c_0_35])]),c_0_36]) ).
fof(c_0_45,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]) ).
fof(c_0_46,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]) ).
fof(c_0_47,plain,
! [X177,X178] :
( v3_struct_0(X177)
| ~ v10_lattices(X177)
| ~ l3_lattices(X177)
| ~ m2_filter_2(X178,X177)
| m1_filter_2(k15_filter_2(X177,X178),k1_lattice2(X177)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])]) ).
cnf(c_0_48,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_42]) ).
cnf(c_0_49,negated_conjecture,
k7_filter_2(esk1_0,esk2_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_43,c_0_44]),c_0_34]),c_0_35])]),c_0_36]) ).
fof(c_0_50,plain,
! [X236] :
( ( ~ v3_struct_0(k1_lattice2(X236))
| v3_struct_0(X236)
| ~ v10_lattices(X236)
| ~ l3_lattices(X236) )
& ( v3_lattices(k1_lattice2(X236))
| v3_struct_0(X236)
| ~ v10_lattices(X236)
| ~ l3_lattices(X236) )
& ( v4_lattices(k1_lattice2(X236))
| v3_struct_0(X236)
| ~ v10_lattices(X236)
| ~ l3_lattices(X236) )
& ( v5_lattices(k1_lattice2(X236))
| v3_struct_0(X236)
| ~ v10_lattices(X236)
| ~ l3_lattices(X236) )
& ( v6_lattices(k1_lattice2(X236))
| v3_struct_0(X236)
| ~ v10_lattices(X236)
| ~ l3_lattices(X236) )
& ( v7_lattices(k1_lattice2(X236))
| v3_struct_0(X236)
| ~ v10_lattices(X236)
| ~ l3_lattices(X236) )
& ( v8_lattices(k1_lattice2(X236))
| v3_struct_0(X236)
| ~ v10_lattices(X236)
| ~ l3_lattices(X236) )
& ( v9_lattices(k1_lattice2(X236))
| v3_struct_0(X236)
| ~ v10_lattices(X236)
| ~ l3_lattices(X236) )
& ( v10_lattices(k1_lattice2(X236))
| v3_struct_0(X236)
| ~ v10_lattices(X236)
| ~ l3_lattices(X236) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
fof(c_0_51,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t33_filter_2]) ).
fof(c_0_52,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_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))
& v11_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_filter_2]) ).
fof(c_0_53,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( v1_filter_2(X2,X1)
<=> v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t44_filter_2]) ).
fof(c_0_54,plain,
! [X267,X268] :
( ( ~ m1_filter_2(X268,X267)
| m1_filter_0(X268,X267)
| v3_struct_0(X267)
| ~ v10_lattices(X267)
| ~ l3_lattices(X267) )
& ( ~ m1_filter_0(X268,X267)
| m1_filter_2(X268,X267)
| v3_struct_0(X267)
| ~ v10_lattices(X267)
| ~ l3_lattices(X267) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).
cnf(c_0_55,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_47]) ).
cnf(c_0_56,negated_conjecture,
k15_filter_2(esk1_0,esk2_0) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_33]),c_0_49]),c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_57,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_58,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_0(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d2_filter_0]) ).
fof(c_0_59,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ( X2 != k1_filter_0(X1)
& v2_filter_0(X2,X1) )
<=> v1_filter_0(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t58_filter_0]) ).
fof(c_0_60,plain,
! [X277,X278] :
( ( ~ r2_filter_2(X277,X278)
| v1_filter_0(k15_filter_2(X277,X278),k1_lattice2(X277))
| ~ m2_filter_2(X278,X277)
| v3_struct_0(X277)
| ~ v10_lattices(X277)
| ~ l3_lattices(X277) )
& ( ~ v1_filter_0(k15_filter_2(X277,X278),k1_lattice2(X277))
| r2_filter_2(X277,X278)
| ~ m2_filter_2(X278,X277)
| v3_struct_0(X277)
| ~ v10_lattices(X277)
| ~ l3_lattices(X277) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).
fof(c_0_61,plain,
! [X231] :
( ( ~ v3_struct_0(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v3_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v4_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v5_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v6_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v7_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v8_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v9_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v10_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v11_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v12_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v13_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v14_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v15_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v16_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) )
& ( v17_lattices(k1_lattice2(X231))
| v3_struct_0(X231)
| ~ v10_lattices(X231)
| ~ v17_lattices(X231)
| ~ l3_lattices(X231) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).
fof(c_0_62,plain,
! [X281,X282] :
( ( ~ v1_filter_2(X282,X281)
| v2_filter_0(k15_filter_2(X281,X282),k1_lattice2(X281))
| ~ m2_filter_2(X282,X281)
| v3_struct_0(X281)
| ~ v10_lattices(X281)
| ~ l3_lattices(X281) )
& ( ~ v2_filter_0(k15_filter_2(X281,X282),k1_lattice2(X281))
| v1_filter_2(X282,X281)
| ~ m2_filter_2(X282,X281)
| v3_struct_0(X281)
| ~ v10_lattices(X281)
| ~ l3_lattices(X281) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).
cnf(c_0_63,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_54]) ).
cnf(c_0_64,negated_conjecture,
m1_filter_2(esk2_0,k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_33]),c_0_56]),c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_65,negated_conjecture,
v10_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_34]),c_0_35])]),c_0_36]) ).
fof(c_0_66,plain,
! [X182] :
( ( v3_lattices(k1_lattice2(X182))
| ~ l3_lattices(X182) )
& ( l3_lattices(k1_lattice2(X182))
| ~ l3_lattices(X182) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_67,plain,
! [X169] :
( v3_struct_0(X169)
| ~ v10_lattices(X169)
| ~ l3_lattices(X169)
| k1_filter_0(X169) = u1_struct_0(X169) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])]) ).
fof(c_0_68,plain,
! [X286,X287] :
( ( X287 = k1_filter_0(X286)
| ~ v2_filter_0(X287,X286)
| v1_filter_0(X287,X286)
| ~ m1_filter_0(X287,X286)
| v3_struct_0(X286)
| ~ v10_lattices(X286)
| ~ v17_lattices(X286)
| ~ l3_lattices(X286) )
& ( X287 != k1_filter_0(X286)
| ~ v1_filter_0(X287,X286)
| ~ m1_filter_0(X287,X286)
| v3_struct_0(X286)
| ~ v10_lattices(X286)
| ~ v17_lattices(X286)
| ~ l3_lattices(X286) )
& ( v2_filter_0(X287,X286)
| ~ v1_filter_0(X287,X286)
| ~ m1_filter_0(X287,X286)
| v3_struct_0(X286)
| ~ v10_lattices(X286)
| ~ v17_lattices(X286)
| ~ l3_lattices(X286) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])]) ).
cnf(c_0_69,plain,
( v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ r2_filter_2(X1,X2)
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_70,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_71,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_72,plain,
( v2_filter_0(k15_filter_2(X2,X1),k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v1_filter_2(X1,X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_73,negated_conjecture,
( v1_filter_2(esk2_0,esk1_0)
| r2_filter_2(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_74,negated_conjecture,
( m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).
cnf(c_0_75,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
fof(c_0_76,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]) ).
cnf(c_0_77,plain,
( v3_struct_0(X1)
| k1_filter_0(X1) = u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
fof(c_0_78,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d8_filter_2]) ).
cnf(c_0_79,plain,
( v2_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ v1_filter_0(X1,X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_80,negated_conjecture,
( v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ r2_filter_2(esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_56]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_81,negated_conjecture,
v17_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_34]),c_0_71]),c_0_35])]),c_0_36]) ).
cnf(c_0_82,negated_conjecture,
( v2_filter_0(esk2_0,k1_lattice2(esk1_0))
| r2_filter_2(esk1_0,esk2_0) ),
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(spm,[status(thm)],[c_0_72,c_0_73]),c_0_56]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_83,negated_conjecture,
( m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_34])]) ).
fof(c_0_84,plain,
! [X223] :
( ( ~ v3_struct_0(k1_lattice2(X223))
| v3_struct_0(X223)
| ~ l3_lattices(X223) )
& ( v3_lattices(k1_lattice2(X223))
| v3_struct_0(X223)
| ~ l3_lattices(X223) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
cnf(c_0_85,plain,
( k1_filter_0(k1_lattice2(X1)) = u1_struct_0(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[c_0_77,c_0_75]) ).
fof(c_0_86,plain,
! [X173] :
( v3_struct_0(X173)
| ~ v10_lattices(X173)
| ~ l3_lattices(X173)
| k17_filter_2(X173) = u1_struct_0(X173) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])]) ).
cnf(c_0_87,negated_conjecture,
( v2_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_65])]),c_0_82]),c_0_83]) ).
cnf(c_0_88,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_89,negated_conjecture,
( k1_filter_0(k1_lattice2(esk1_0)) = u1_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_65]),c_0_34])]) ).
cnf(c_0_90,plain,
( v3_struct_0(X1)
| k17_filter_2(X1) = u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_91,plain,
( v1_filter_2(X2,X1)
| v3_struct_0(X1)
| ~ v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_92,plain,
( X1 = k1_filter_0(X2)
| v1_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ v2_filter_0(X1,X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_93,negated_conjecture,
( v2_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_75]),c_0_34])]) ).
cnf(c_0_94,negated_conjecture,
k1_filter_0(k1_lattice2(esk1_0)) = 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_88,c_0_89]),c_0_34])]),c_0_36]) ).
fof(c_0_95,plain,
! [X269,X270,X271] :
( ( ~ m2_relset_1(X271,X269,X270)
| m1_relset_1(X271,X269,X270) )
& ( ~ m1_relset_1(X271,X269,X270)
| m2_relset_1(X271,X269,X270) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_96,plain,
! [X199] :
( ( v1_funct_1(u1_lattices(X199))
| ~ l1_lattices(X199) )
& ( v1_funct_2(u1_lattices(X199),k2_zfmisc_1(u1_struct_0(X199),u1_struct_0(X199)),u1_struct_0(X199))
| ~ l1_lattices(X199) )
& ( m2_relset_1(u1_lattices(X199),k2_zfmisc_1(u1_struct_0(X199),u1_struct_0(X199)),u1_struct_0(X199))
| ~ l1_lattices(X199) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])]) ).
cnf(c_0_97,negated_conjecture,
( esk2_0 = k17_filter_2(esk1_0)
| ~ v1_filter_2(esk2_0,esk1_0)
| ~ r2_filter_2(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_98,negated_conjecture,
k17_filter_2(esk1_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_99,negated_conjecture,
( v1_filter_2(esk2_0,esk1_0)
| ~ v2_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_56]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_100,plain,
( r2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_101,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_81]),c_0_65])]),c_0_94]),c_0_83]) ).
fof(c_0_102,plain,
! [X174,X175,X176] :
( ( v3_lattices(g3_lattices(X174,X175,X176))
| ~ v1_funct_1(X175)
| ~ v1_funct_2(X175,k2_zfmisc_1(X174,X174),X174)
| ~ m1_relset_1(X175,k2_zfmisc_1(X174,X174),X174)
| ~ v1_funct_1(X176)
| ~ v1_funct_2(X176,k2_zfmisc_1(X174,X174),X174)
| ~ m1_relset_1(X176,k2_zfmisc_1(X174,X174),X174) )
& ( l3_lattices(g3_lattices(X174,X175,X176))
| ~ v1_funct_1(X175)
| ~ v1_funct_2(X175,k2_zfmisc_1(X174,X174),X174)
| ~ m1_relset_1(X175,k2_zfmisc_1(X174,X174),X174)
| ~ v1_funct_1(X176)
| ~ v1_funct_2(X176,k2_zfmisc_1(X174,X174),X174)
| ~ m1_relset_1(X176,k2_zfmisc_1(X174,X174),X174) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])]) ).
cnf(c_0_103,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_104,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_96]) ).
fof(c_0_105,plain,
! [X200] :
( ( v1_funct_1(u2_lattices(X200))
| ~ l2_lattices(X200) )
& ( v1_funct_2(u2_lattices(X200),k2_zfmisc_1(u1_struct_0(X200),u1_struct_0(X200)),u1_struct_0(X200))
| ~ l2_lattices(X200) )
& ( m2_relset_1(u2_lattices(X200),k2_zfmisc_1(u1_struct_0(X200),u1_struct_0(X200)),u1_struct_0(X200))
| ~ l2_lattices(X200) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])]) ).
cnf(c_0_106,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| ~ r2_filter_2(esk1_0,esk2_0)
| ~ v1_filter_2(esk2_0,esk1_0) ),
inference(rw,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_107,negated_conjecture,
( v1_filter_2(esk2_0,esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_99,c_0_93]) ).
cnf(c_0_108,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| ~ v1_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_56]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_109,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_75]),c_0_34])]) ).
cnf(c_0_110,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_102]) ).
cnf(c_0_111,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_103,c_0_104]) ).
cnf(c_0_112,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_113,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_96]) ).
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_105]) ).
cnf(c_0_115,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0))
| ~ r2_filter_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_116,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| r2_filter_2(esk1_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_117,plain,
( l3_lattices(g3_lattices(u1_struct_0(X1),X2,u1_lattices(X1)))
| ~ l1_lattices(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_113]) ).
cnf(c_0_118,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_103,c_0_114]) ).
cnf(c_0_119,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_120,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_105]) ).
cnf(c_0_121,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| u1_struct_0(esk1_0) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
fof(c_0_122,plain,
! [X154] :
( ~ l3_lattices(X154)
| ~ v3_lattices(X154)
| X154 = g3_lattices(u1_struct_0(X154),u2_lattices(X154),u1_lattices(X154)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).
fof(c_0_123,plain,
! [X237,X238,X239,X240,X241,X242] :
( ( X237 = X240
| g3_lattices(X237,X238,X239) != g3_lattices(X240,X241,X242)
| ~ v1_funct_1(X238)
| ~ v1_funct_2(X238,k2_zfmisc_1(X237,X237),X237)
| ~ m1_relset_1(X238,k2_zfmisc_1(X237,X237),X237)
| ~ v1_funct_1(X239)
| ~ v1_funct_2(X239,k2_zfmisc_1(X237,X237),X237)
| ~ m1_relset_1(X239,k2_zfmisc_1(X237,X237),X237) )
& ( X238 = X241
| g3_lattices(X237,X238,X239) != g3_lattices(X240,X241,X242)
| ~ v1_funct_1(X238)
| ~ v1_funct_2(X238,k2_zfmisc_1(X237,X237),X237)
| ~ m1_relset_1(X238,k2_zfmisc_1(X237,X237),X237)
| ~ v1_funct_1(X239)
| ~ v1_funct_2(X239,k2_zfmisc_1(X237,X237),X237)
| ~ m1_relset_1(X239,k2_zfmisc_1(X237,X237),X237) )
& ( X239 = X242
| g3_lattices(X237,X238,X239) != g3_lattices(X240,X241,X242)
| ~ v1_funct_1(X238)
| ~ v1_funct_2(X238,k2_zfmisc_1(X237,X237),X237)
| ~ m1_relset_1(X238,k2_zfmisc_1(X237,X237),X237)
| ~ v1_funct_1(X239)
| ~ v1_funct_2(X239,k2_zfmisc_1(X237,X237),X237)
| ~ m1_relset_1(X239,k2_zfmisc_1(X237,X237),X237) ) ),
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_124,plain,
( l3_lattices(g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)))
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_120]) ).
cnf(c_0_125,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| u1_struct_0(esk1_0) = esk2_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_121]),c_0_34])]),c_0_36]) ).
fof(c_0_126,plain,
! [X187] :
( ( l1_lattices(X187)
| ~ l3_lattices(X187) )
& ( l2_lattices(X187)
| ~ l3_lattices(X187) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
cnf(c_0_127,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_122]) ).
cnf(c_0_128,plain,
( X1 = X2
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_129,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| l3_lattices(g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))))
| ~ l2_lattices(k1_lattice2(esk1_0))
| ~ l1_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_130,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_131,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_132,negated_conjecture,
( g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) = k1_lattice2(esk1_0)
| u1_struct_0(esk1_0) = esk2_0
| ~ v3_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_127,c_0_125]) ).
cnf(c_0_133,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_134,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),X3,u1_lattices(X1)) != g3_lattices(X2,X4,X5)
| ~ l1_lattices(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_111]),c_0_112]),c_0_113]) ).
cnf(c_0_135,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| l3_lattices(g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).
cnf(c_0_136,negated_conjecture,
( g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) = k1_lattice2(esk1_0)
| u1_struct_0(esk1_0) = esk2_0
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_34])]) ).
cnf(c_0_137,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_118]),c_0_119]),c_0_120]) ).
cnf(c_0_138,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| l3_lattices(g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_75]),c_0_34])]) ).
cnf(c_0_139,negated_conjecture,
( g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) = k1_lattice2(esk1_0)
| u1_struct_0(esk1_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_75]),c_0_34])]) ).
cnf(c_0_140,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| esk2_0 = X1
| g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) != g3_lattices(X1,X2,X3)
| ~ l2_lattices(k1_lattice2(esk1_0))
| ~ l1_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_137,c_0_125]) ).
cnf(c_0_141,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| l3_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_142,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| esk2_0 = X1
| g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) != g3_lattices(X1,X2,X3)
| ~ l1_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_130]),c_0_141]) ).
cnf(c_0_143,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| esk2_0 = X1
| g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) != g3_lattices(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_131]),c_0_141]) ).
cnf(c_0_144,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| esk2_0 = X1
| k1_lattice2(esk1_0) != g3_lattices(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_143,c_0_139]) ).
fof(c_0_145,plain,
! [X170] :
( ~ l3_lattices(X170)
| k1_lattice2(X170) = g3_lattices(u1_struct_0(X170),u1_lattices(X170),u2_lattices(X170)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_lattice2])]) ).
cnf(c_0_146,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| g3_lattices(u1_struct_0(esk1_0),X1,X2) != k1_lattice2(esk1_0) ),
inference(ef,[status(thm)],[c_0_144]) ).
cnf(c_0_147,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_145]) ).
cnf(c_0_148,plain,
( l3_lattices(g3_lattices(u1_struct_0(X1),X2,u2_lattices(X1)))
| ~ l2_lattices(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_118]),c_0_119]),c_0_120]) ).
cnf(c_0_149,negated_conjecture,
u1_struct_0(esk1_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_34])]) ).
cnf(c_0_150,plain,
( l3_lattices(g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)))
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_111]),c_0_112]),c_0_113]) ).
cnf(c_0_151,negated_conjecture,
g3_lattices(esk2_0,u1_lattices(esk1_0),u2_lattices(esk1_0)) = k1_lattice2(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_149]),c_0_34])]) ).
cnf(c_0_152,negated_conjecture,
( l3_lattices(k1_lattice2(esk1_0))
| ~ l2_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_149]),c_0_151]) ).
fof(c_0_153,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(k1_filter_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[dt_k1_filter_0]) ).
cnf(c_0_154,negated_conjecture,
( l3_lattices(k1_lattice2(esk1_0))
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_130]),c_0_34])]) ).
fof(c_0_155,plain,
! [X180] :
( v3_struct_0(X180)
| ~ v10_lattices(X180)
| ~ l3_lattices(X180)
| m1_filter_0(k1_filter_0(X180),X180) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_153])]) ).
cnf(c_0_156,negated_conjecture,
( u1_struct_0(X1) = esk2_0
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != k1_lattice2(esk1_0)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[c_0_137,c_0_151]) ).
cnf(c_0_157,negated_conjecture,
l3_lattices(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_131]),c_0_34])]) ).
cnf(c_0_158,plain,
( v3_struct_0(X2)
| X1 != k1_filter_0(X2)
| ~ v1_filter_0(X1,X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_159,plain,
( v3_struct_0(X1)
| m1_filter_0(k1_filter_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_160,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| ~ l2_lattices(k1_lattice2(esk1_0))
| ~ l1_lattices(k1_lattice2(esk1_0))
| ~ v3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_127])]),c_0_157])]) ).
cnf(c_0_161,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| esk2_0 != k17_filter_2(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_162,plain,
( v3_struct_0(X1)
| ~ v1_filter_0(k1_filter_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_158]),c_0_159]) ).
cnf(c_0_163,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| ~ l2_lattices(k1_lattice2(esk1_0))
| ~ l1_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_133]),c_0_34])]) ).
cnf(c_0_164,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| u1_struct_0(esk1_0) != esk2_0 ),
inference(rw,[status(thm)],[c_0_161,c_0_98]) ).
cnf(c_0_165,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v1_filter_0(u1_struct_0(k1_lattice2(esk1_0)),k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_94]),c_0_81]),c_0_65])]) ).
cnf(c_0_166,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| ~ l1_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_130]),c_0_157])]) ).
cnf(c_0_167,negated_conjecture,
( v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| u1_struct_0(esk1_0) != esk2_0 ),
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(spm,[status(thm)],[c_0_69,c_0_164]),c_0_56]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_168,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v1_filter_0(u1_struct_0(k1_lattice2(esk1_0)),k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_157])]) ).
cnf(c_0_169,negated_conjecture,
u1_struct_0(k1_lattice2(esk1_0)) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_131]),c_0_157])]) ).
cnf(c_0_170,negated_conjecture,
v1_filter_0(esk2_0,k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_149])]) ).
cnf(c_0_171,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_169]),c_0_170])]) ).
cnf(c_0_172,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_171]),c_0_34])]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT322+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n010.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 21:15:51 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 8.57/6.30 % Version : CSE_E---1.7
% 8.57/6.30 % Problem : theBenchmark.p
% 8.57/6.30 % SZS status Theorem for theBenchmark.p
% 8.57/6.30 % SZS output start CNFRefutation
% See solution above
% 8.57/6.32 % Total time : 5.373s
%------------------------------------------------------------------------------