TSTP Solution File: LAT321+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT321+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 04:29:34 EDT 2022
% Result : Theorem 43.10s 6.85s
% Output : CNFRefutation 43.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 47
% Syntax : Number of clauses : 139 ( 15 unt; 66 nHn; 137 RR)
% Number of literals : 605 ( 74 equ; 378 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-3 aty)
% Number of variables : 185 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_260,plain,
( k7_lattices(X1,k6_filter_2(X1,X2)) = k7_lattices(k1_lattice2(X1),X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_260) ).
cnf(i_0_94,plain,
m1_subset_1(esk11_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_94) ).
cnf(i_0_261,plain,
( k7_lattices(k1_lattice2(X1),k5_filter_2(X1,X2)) = k7_lattices(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_261) ).
cnf(i_0_1,negated_conjecture,
( r2_hidden(X1,esk2_0)
| r2_filter_2(esk1_0,esk2_0)
| r2_hidden(k7_lattices(esk1_0,X1),esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_1) ).
cnf(i_0_7,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
v17_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_10) ).
cnf(i_0_50,plain,
( k5_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_50) ).
cnf(i_0_61,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_61) ).
cnf(i_0_51,plain,
( k6_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_51) ).
cnf(i_0_62,plain,
( v3_struct_0(X1)
| m1_subset_1(k6_filter_2(X1,X2),u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_62) ).
cnf(i_0_265,plain,
( v3_struct_0(X1)
| r2_hidden(X2,X3)
| r2_hidden(k7_lattices(X1,X2),X3)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X3,X1)
| ~ v1_filter_0(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_265) ).
cnf(i_0_143,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_143) ).
cnf(i_0_116,plain,
( v3_struct_0(X1)
| v17_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_116) ).
cnf(i_0_56,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_56) ).
cnf(i_0_100,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_100) ).
cnf(i_0_247,plain,
( k7_filter_2(X1,X2) = k15_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_247) ).
cnf(i_0_52,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_52) ).
cnf(i_0_262,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| v1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_filter_0(X1,X2)
| ~ r2_hidden(k7_lattices(X2,esk32_2(X2,X1)),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_262) ).
cnf(i_0_264,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| v1_filter_0(X1,X2)
| m1_subset_1(esk32_2(X2,X1),u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_filter_0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_264) ).
cnf(i_0_263,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| v1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_filter_0(X1,X2)
| ~ r2_hidden(esk32_2(X2,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_263) ).
cnf(i_0_3,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| ~ r2_filter_2(esk1_0,esk2_0)
| ~ r2_hidden(k7_lattices(esk1_0,esk3_0),esk2_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_3) ).
cnf(i_0_5,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ r2_filter_2(esk1_0,esk2_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_5) ).
cnf(i_0_4,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| ~ r2_filter_2(esk1_0,esk2_0)
| ~ r2_hidden(esk3_0,esk2_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_4) ).
cnf(i_0_256,plain,
( v3_struct_0(X1)
| v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ r2_filter_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_256) ).
cnf(i_0_249,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_249) ).
cnf(i_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) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_55) ).
cnf(i_0_255,plain,
( v3_struct_0(X1)
| r2_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_255) ).
cnf(i_0_266,plain,
( v3_struct_0(X1)
| X2 != u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_266) ).
cnf(i_0_251,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_251) ).
cnf(i_0_80,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) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_80) ).
cnf(i_0_6,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_6) ).
cnf(i_0_154,plain,
( X1 = X2
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_154) ).
cnf(i_0_82,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_82) ).
cnf(i_0_81,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) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_81) ).
cnf(i_0_84,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) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_84) ).
cnf(i_0_86,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_86) ).
cnf(i_0_85,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) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_85) ).
cnf(i_0_78,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) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_78) ).
cnf(i_0_76,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_76) ).
cnf(i_0_49,plain,
( g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) = k1_lattice2(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_49) ).
cnf(i_0_2,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| u1_struct_0(esk1_0) != esk2_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_2) ).
cnf(i_0_11,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_11) ).
cnf(i_0_69,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_69) ).
cnf(i_0_68,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_68) ).
cnf(i_0_57,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ehroo_yo/input.p',i_0_57) ).
cnf(c_0_314,plain,
( k7_lattices(X1,k6_filter_2(X1,X2)) = k7_lattices(k1_lattice2(X1),X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1))) ),
i_0_260 ).
cnf(c_0_315,plain,
m1_subset_1(esk11_1(X1),X1),
i_0_94 ).
cnf(c_0_316,plain,
( k7_lattices(k1_lattice2(X1),k5_filter_2(X1,X2)) = k7_lattices(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X1))) ),
i_0_261 ).
cnf(c_0_317,negated_conjecture,
( r2_hidden(X1,esk2_0)
| r2_filter_2(esk1_0,esk2_0)
| r2_hidden(k7_lattices(esk1_0,X1),esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
i_0_1 ).
cnf(c_0_318,plain,
( k7_lattices(X1,k6_filter_2(X1,X2)) = k7_lattices(k1_lattice2(X1),X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_319,negated_conjecture,
l3_lattices(esk1_0),
i_0_7 ).
cnf(c_0_320,negated_conjecture,
v17_lattices(esk1_0),
i_0_8 ).
cnf(c_0_321,negated_conjecture,
v10_lattices(esk1_0),
i_0_9 ).
cnf(c_0_322,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_10 ).
cnf(c_0_323,plain,
( k7_lattices(k1_lattice2(X1),k5_filter_2(X1,X2)) = k7_lattices(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_316,c_0_315]) ).
cnf(c_0_324,plain,
( k5_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_50 ).
cnf(c_0_325,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_61 ).
cnf(c_0_326,negated_conjecture,
( r2_hidden(k7_lattices(k1_lattice2(esk1_0),X1),esk2_0)
| r2_hidden(k6_filter_2(esk1_0,X1),esk2_0)
| r2_filter_2(esk1_0,esk2_0)
| ~ m1_subset_1(k6_filter_2(esk1_0,X1),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_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_317,c_0_318]),c_0_319]),c_0_320]),c_0_321])]),c_0_322]) ).
cnf(c_0_327,plain,
( k6_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1))) ),
i_0_51 ).
cnf(c_0_328,plain,
( v3_struct_0(X1)
| m1_subset_1(k6_filter_2(X1,X2),u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1))) ),
i_0_62 ).
cnf(c_0_329,plain,
( v3_struct_0(X1)
| r2_hidden(X2,X3)
| r2_hidden(k7_lattices(X1,X2),X3)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X3,X1)
| ~ v1_filter_0(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_265 ).
cnf(c_0_330,plain,
( k7_lattices(k1_lattice2(X1),X2) = k7_lattices(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_331,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_143 ).
cnf(c_0_332,plain,
( v3_struct_0(X1)
| v17_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_116 ).
cnf(c_0_333,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_56 ).
cnf(c_0_334,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_325,c_0_324]) ).
cnf(c_0_335,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_100 ).
cnf(c_0_336,plain,
( k7_filter_2(X1,X2) = k15_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_247 ).
cnf(c_0_337,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_52 ).
cnf(c_0_338,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| v1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_filter_0(X1,X2)
| ~ r2_hidden(k7_lattices(X2,esk32_2(X2,X1)),X1) ),
i_0_262 ).
cnf(c_0_339,plain,
( r2_hidden(k7_lattices(k1_lattice2(esk1_0),X1),esk2_0)
| r2_hidden(X1,esk2_0)
| r2_filter_2(esk1_0,esk2_0)
| ~ 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_319]),c_0_321])]),c_0_322]) ).
cnf(c_0_340,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| v1_filter_0(X1,X2)
| m1_subset_1(esk32_2(X2,X1),u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_filter_0(X1,X2) ),
i_0_264 ).
cnf(c_0_341,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| v1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_filter_0(X1,X2)
| ~ r2_hidden(esk32_2(X2,X1),X1) ),
i_0_263 ).
cnf(c_0_342,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_328,c_0_327]) ).
cnf(c_0_343,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| ~ r2_filter_2(esk1_0,esk2_0)
| ~ r2_hidden(k7_lattices(esk1_0,esk3_0),esk2_0) ),
i_0_3 ).
cnf(c_0_344,plain,
( r2_hidden(k7_lattices(X1,X2),X3)
| r2_hidden(X2,X3)
| v3_struct_0(X1)
| ~ v1_filter_0(X3,k1_lattice2(X1))
| ~ m1_filter_0(X3,k1_lattice2(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_331]),c_0_332]),c_0_333]),c_0_334]),c_0_335]) ).
cnf(c_0_345,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ r2_filter_2(esk1_0,esk2_0) ),
i_0_5 ).
cnf(c_0_346,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| ~ r2_filter_2(esk1_0,esk2_0)
| ~ r2_hidden(esk3_0,esk2_0) ),
i_0_4 ).
cnf(c_0_347,plain,
( v3_struct_0(X1)
| v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ r2_filter_2(X1,X2) ),
i_0_256 ).
cnf(c_0_348,plain,
( k15_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_349,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
i_0_249 ).
cnf(c_0_350,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) ),
i_0_55 ).
cnf(c_0_351,plain,
( v3_struct_0(X1)
| r2_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
i_0_255 ).
cnf(c_0_352,plain,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| r2_filter_2(esk1_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ m1_subset_1(esk32_2(k1_lattice2(esk1_0),esk2_0),u1_struct_0(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_340]),c_0_341]) ).
cnf(c_0_353,plain,
( X1 = u1_struct_0(k1_lattice2(X2))
| v1_filter_0(X1,k1_lattice2(X2))
| v3_struct_0(X2)
| m1_subset_1(esk32_2(k1_lattice2(X2),X1),u1_struct_0(X2))
| ~ m1_filter_0(X1,k1_lattice2(X2))
| ~ l3_lattices(X2)
| ~ v17_lattices(k1_lattice2(X2))
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_340]),c_0_331]),c_0_333]),c_0_335]) ).
cnf(c_0_354,plain,
( v3_struct_0(X1)
| X2 != u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_filter_0(X2,X1) ),
i_0_266 ).
cnf(c_0_355,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_251 ).
cnf(c_0_356,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) ),
i_0_80 ).
cnf(c_0_357,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| ~ v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ r2_filter_2(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[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_343,c_0_344]),c_0_319]),c_0_320]),c_0_321])]),c_0_322]),c_0_345]),c_0_346]) ).
cnf(c_0_358,plain,
( v1_filter_0(X1,k1_lattice2(X2))
| v3_struct_0(X2)
| ~ r2_filter_2(X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_filter_2(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_347,c_0_348]) ).
cnf(c_0_359,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
i_0_6 ).
cnf(c_0_360,plain,
( m1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_335]) ).
cnf(c_0_361,plain,
( r2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v1_filter_0(X2,k1_lattice2(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_351,c_0_348]) ).
cnf(c_0_362,plain,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| r2_filter_2(esk1_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_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_352,c_0_353]),c_0_319]),c_0_321])]),c_0_322]) ).
cnf(c_0_363,plain,
( v3_struct_0(X1)
| k15_filter_2(X1,X2) != u1_struct_0(k1_lattice2(X1))
| ~ m1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ r2_filter_2(X1,X2)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_347]),c_0_331]),c_0_333]),c_0_335]) ).
cnf(c_0_364,plain,
( X1 = X2
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
i_0_154 ).
cnf(c_0_365,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_355,c_0_356]) ).
cnf(c_0_366,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
i_0_82 ).
cnf(c_0_367,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) ),
i_0_81 ).
cnf(c_0_368,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) ),
i_0_84 ).
cnf(c_0_369,plain,
( u1_struct_0(esk1_0) = esk2_0
| ~ m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ r2_filter_2(esk1_0,esk2_0)
| ~ 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_359]),c_0_319]),c_0_321])]),c_0_322]) ).
cnf(c_0_370,plain,
( m1_filter_0(X1,k1_lattice2(X2))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_filter_2(X1,X2)
| ~ l3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(k1_lattice2(X2))
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_360,c_0_348]) ).
cnf(c_0_371,plain,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| r2_filter_2(esk1_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(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_361,c_0_362]),c_0_359]),c_0_319]),c_0_321])]),c_0_322]) ).
cnf(c_0_372,plain,
( v3_struct_0(X1)
| k15_filter_2(X1,X2) != u1_struct_0(k1_lattice2(X1))
| ~ r2_filter_2(X1,X2)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_360]),c_0_331]),c_0_333]) ).
cnf(c_0_373,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),X3,u1_lattices(X1)) != g3_lattices(X2,X4,X5)
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_366]),c_0_367]) ).
cnf(c_0_374,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_355,c_0_368]) ).
cnf(c_0_375,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
i_0_86 ).
cnf(c_0_376,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) ),
i_0_85 ).
cnf(c_0_377,plain,
( u1_struct_0(esk1_0) = esk2_0
| ~ r2_filter_2(esk1_0,esk2_0)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(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_369,c_0_370]),c_0_359]),c_0_319]),c_0_321])]),c_0_322]) ).
cnf(c_0_378,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) ),
i_0_78 ).
cnf(c_0_379,plain,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| r2_filter_2(esk1_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(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_371,c_0_370]),c_0_359]),c_0_319]),c_0_321])]),c_0_322]) ).
cnf(c_0_380,plain,
( v3_struct_0(X1)
| X2 != u1_struct_0(k1_lattice2(X1))
| ~ r2_filter_2(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_372,c_0_348]) ).
cnf(c_0_381,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_76 ).
cnf(c_0_382,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_373,c_0_374]),c_0_375]),c_0_376]) ).
cnf(c_0_383,plain,
( g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) = k1_lattice2(X1)
| ~ l3_lattices(X1) ),
i_0_49 ).
cnf(c_0_384,plain,
( u1_struct_0(esk1_0) = esk2_0
| ~ m2_lattice4(esk2_0,esk1_0)
| ~ r2_filter_2(esk1_0,esk2_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_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_377,c_0_378]),c_0_319]),c_0_321])]),c_0_322]) ).
cnf(c_0_385,plain,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| r2_filter_2(esk1_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m2_lattice4(esk2_0,esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_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_379,c_0_378]),c_0_319]),c_0_321])]),c_0_322]) ).
cnf(c_0_386,plain,
( v3_struct_0(X1)
| X2 != u1_struct_0(k1_lattice2(X1))
| ~ r2_filter_2(X1,X2)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_378]),c_0_381]) ).
cnf(c_0_387,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| u1_struct_0(esk1_0) != esk2_0 ),
i_0_2 ).
cnf(c_0_388,plain,
( u1_struct_0(X1) = u1_struct_0(X2)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != k1_lattice2(X2)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1)
| ~ l3_lattices(X2) ),
inference(spm,[status(thm)],[c_0_382,c_0_383]) ).
cnf(c_0_389,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
i_0_11 ).
cnf(c_0_390,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_69 ).
cnf(c_0_391,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_68 ).
cnf(c_0_392,plain,
( u1_struct_0(esk1_0) = esk2_0
| ~ r2_filter_2(esk1_0,esk2_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(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_384,c_0_381]),c_0_359]),c_0_319]),c_0_321])]),c_0_322]) ).
cnf(c_0_393,plain,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| r2_filter_2(esk1_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(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_385,c_0_381]),c_0_359]),c_0_319]),c_0_321])]),c_0_322]) ).
cnf(c_0_394,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) != esk2_0
| u1_struct_0(esk1_0) != esk2_0
| ~ v17_lattices(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_386,c_0_387]),c_0_359]),c_0_319]),c_0_321])]),c_0_322]) ).
cnf(c_0_395,plain,
( u1_struct_0(X1) = u1_struct_0(X2)
| X1 != k1_lattice2(X2)
| ~ v3_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_389]),c_0_390]),c_0_391]) ).
cnf(c_0_396,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_57 ).
cnf(c_0_397,plain,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| u1_struct_0(esk1_0) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_392,c_0_393]) ).
cnf(c_0_398,plain,
( 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_332]),c_0_319]),c_0_320]),c_0_321])]),c_0_322]) ).
cnf(c_0_399,plain,
( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_395]),c_0_333]),c_0_396]) ).
cnf(c_0_400,plain,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| u1_struct_0(esk1_0) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(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_397,c_0_332]),c_0_319]),c_0_320]),c_0_321])]),c_0_322]) ).
cnf(c_0_401,plain,
u1_struct_0(esk1_0) != esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_319])]) ).
cnf(c_0_402,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_399]),c_0_319])]),c_0_401]) ).
cnf(c_0_403,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_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_402,c_0_331]),c_0_319]),c_0_321])]),c_0_322]) ).
cnf(c_0_404,plain,
v3_struct_0(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_333]),c_0_319])]) ).
cnf(c_0_405,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_404]),c_0_319])]),c_0_322]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT321+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 30 12:13:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 43.10/6.85 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 43.10/6.85 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 66; version: 991; iters: 150)
% 43.10/6.85 # Preprocessing time : 0.845 s
% 43.10/6.85
% 43.10/6.85 # Proof found!
% 43.10/6.85 # SZS status Theorem
% 43.10/6.85 # SZS output start CNFRefutation
% See solution above
% 43.10/6.86 # Training examples: 0 positive, 0 negative
% 43.10/6.86
% 43.10/6.86 # -------------------------------------------------
% 43.10/6.86 # User time : 4.179 s
% 43.10/6.86 # System time : 0.131 s
% 43.10/6.86 # Total time : 4.310 s
% 43.10/6.86 # ...preprocessing : 0.845 s
% 43.10/6.86 # ...main loop : 3.465 s
% 43.10/6.86 # Maximum resident set size: 169588 pages
% 43.10/6.86
%------------------------------------------------------------------------------