TSTP Solution File: LAT299+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT299+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 04:29:07 EDT 2022
% Result : Theorem 16.73s 3.62s
% Output : CNFRefutation 16.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 38
% Syntax : Number of clauses : 143 ( 55 unt; 34 nHn; 143 RR)
% Number of literals : 469 ( 55 equ; 273 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-6 aty)
% Number of variables : 203 ( 26 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_57,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_57) ).
cnf(i_0_4,negated_conjecture,
l3_lattices(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_4) ).
cnf(i_0_64,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/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_64) ).
cnf(i_0_56,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_56) ).
cnf(i_0_65,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/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_65) ).
cnf(i_0_156,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_156) ).
cnf(i_0_66,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_66) ).
cnf(i_0_68,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/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_68) ).
cnf(i_0_113,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/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_113) ).
cnf(i_0_69,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/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_69) ).
cnf(i_0_70,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_70) ).
cnf(i_0_60,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_60) ).
cnf(i_0_2,negated_conjecture,
m2_filter_2(esk3_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_2) ).
cnf(i_0_7,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_9) ).
cnf(i_0_62,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/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_62) ).
cnf(i_0_3,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_3) ).
cnf(i_0_18,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_18) ).
cnf(i_0_61,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_61) ).
cnf(i_0_154,plain,
( k3_lattices(X1,X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_154) ).
cnf(i_0_162,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| m1_subset_1(esk30_2(X1,X2),u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_162) ).
cnf(i_0_5,negated_conjecture,
v10_lattices(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
~ v3_struct_0(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_6) ).
cnf(i_0_1,negated_conjecture,
~ m2_filter_2(esk3_0,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_1) ).
cnf(i_0_111,plain,
( X1 = X2
| g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_111) ).
cnf(i_0_30,plain,
( k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_30) ).
cnf(i_0_161,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| m1_subset_1(esk31_2(X1,X2),u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_161) ).
cnf(i_0_28,plain,
( k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_28) ).
cnf(i_0_112,plain,
( X1 = X2
| g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_112) ).
cnf(i_0_37,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r2_hidden(X3,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ m2_lattice4(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(k3_lattices(X1,X3,X4),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_37) ).
cnf(i_0_170,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_170) ).
cnf(i_0_38,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r2_hidden(k3_lattices(X1,X3,X4),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X3,X2)
| ~ m2_lattice4(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_38) ).
cnf(i_0_36,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r2_hidden(X3,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ m2_lattice4(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(k3_lattices(X1,X4,X3),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_36) ).
cnf(i_0_158,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| r2_hidden(esk31_2(X1,X2),X2)
| r2_hidden(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_158) ).
cnf(i_0_167,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_167) ).
cnf(i_0_159,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| r2_hidden(esk30_2(X1,X2),X2)
| r2_hidden(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_159) ).
cnf(i_0_160,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(esk30_2(X1,X2),X2)
| ~ r2_hidden(esk31_2(X1,X2),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cdf2xie5/input.p',i_0_160) ).
cnf(c_0_209,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_57 ).
cnf(c_0_210,negated_conjecture,
l3_lattices(esk2_0),
i_0_4 ).
cnf(c_0_211,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_64 ).
cnf(c_0_212,negated_conjecture,
l1_lattices(esk2_0),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_213,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_56 ).
cnf(c_0_214,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_65 ).
cnf(c_0_215,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_156 ).
cnf(c_0_216,negated_conjecture,
m2_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_217,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
i_0_66 ).
cnf(c_0_218,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_68 ).
cnf(c_0_219,negated_conjecture,
l2_lattices(esk2_0),
inference(spm,[status(thm)],[c_0_213,c_0_210]) ).
cnf(c_0_220,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_113 ).
cnf(c_0_221,negated_conjecture,
v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_214,c_0_212]) ).
cnf(c_0_222,plain,
m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_223,negated_conjecture,
v1_funct_1(u1_lattices(esk2_0)),
inference(spm,[status(thm)],[c_0_217,c_0_212]) ).
cnf(c_0_224,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_69 ).
cnf(c_0_225,negated_conjecture,
m2_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_226,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
i_0_70 ).
cnf(c_0_227,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_60 ).
cnf(c_0_228,negated_conjecture,
m2_filter_2(esk3_0,esk1_0),
i_0_2 ).
cnf(c_0_229,negated_conjecture,
l3_lattices(esk1_0),
i_0_7 ).
cnf(c_0_230,negated_conjecture,
v10_lattices(esk1_0),
i_0_8 ).
cnf(c_0_231,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_9 ).
cnf(c_0_232,plain,
( u1_struct_0(esk2_0) = X1
| g3_lattices(u1_struct_0(esk2_0),X2,u1_lattices(esk2_0)) != g3_lattices(X1,X3,X4)
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222]),c_0_223])]) ).
cnf(c_0_233,negated_conjecture,
v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_224,c_0_219]) ).
cnf(c_0_234,plain,
m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_215,c_0_225]) ).
cnf(c_0_235,negated_conjecture,
v1_funct_1(u2_lattices(esk2_0)),
inference(spm,[status(thm)],[c_0_226,c_0_219]) ).
cnf(c_0_236,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_62 ).
cnf(c_0_237,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_227,c_0_228]),c_0_229]),c_0_230])]),c_0_231]) ).
cnf(c_0_238,negated_conjecture,
( u1_struct_0(esk2_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]),c_0_235])]) ).
cnf(c_0_239,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
i_0_3 ).
cnf(c_0_240,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_18 ).
cnf(c_0_241,plain,
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_236,c_0_237]),c_0_229]),c_0_230])]),c_0_231]) ).
cnf(c_0_242,negated_conjecture,
u1_struct_0(esk1_0) = u1_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_243,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m2_filter_2(X2,X1) ),
i_0_61 ).
cnf(c_0_244,plain,
( k3_lattices(X1,X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_154 ).
cnf(c_0_245,negated_conjecture,
l2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_213,c_0_229]) ).
cnf(c_0_246,negated_conjecture,
v4_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_229]),c_0_230])]),c_0_231]) ).
cnf(c_0_247,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| m1_subset_1(esk30_2(X1,X2),u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_162 ).
cnf(c_0_248,plain,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(rw,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_249,negated_conjecture,
v10_lattices(esk2_0),
i_0_5 ).
cnf(c_0_250,negated_conjecture,
~ v3_struct_0(esk2_0),
i_0_6 ).
cnf(c_0_251,negated_conjecture,
~ m2_filter_2(esk3_0,esk2_0),
i_0_1 ).
cnf(c_0_252,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_243,c_0_228]),c_0_229]),c_0_230])]),c_0_231]) ).
cnf(c_0_253,plain,
( X1 = X2
| g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
i_0_111 ).
cnf(c_0_254,plain,
( k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_30 ).
cnf(c_0_255,plain,
( k1_lattices(esk1_0,X1,X2) = k3_lattices(esk1_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_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_244,c_0_242]),c_0_245]),c_0_246])]),c_0_231]) ).
cnf(c_0_256,plain,
m1_subset_1(esk30_2(esk2_0,esk3_0),u1_struct_0(esk2_0)),
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(spm,[status(thm)],[c_0_247,c_0_248]),c_0_210]),c_0_249])]),c_0_250]),c_0_251]),c_0_252]) ).
cnf(c_0_257,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| m1_subset_1(esk31_2(X1,X2),u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_161 ).
cnf(c_0_258,plain,
( k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_28 ).
cnf(c_0_259,negated_conjecture,
( X1 = X2
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),X1) != g3_lattices(X3,X4,X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_233]),c_0_234]),c_0_235])]) ).
cnf(c_0_260,negated_conjecture,
v4_lattices(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_210]),c_0_249])]),c_0_250]) ).
cnf(c_0_261,plain,
( k2_binop_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0),u1_struct_0(esk2_0),u2_lattices(esk1_0),X1,X2) = k1_lattices(esk1_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_242]),c_0_245])]),c_0_231]) ).
cnf(c_0_262,plain,
( k1_lattices(esk1_0,X1,esk30_2(esk2_0,esk3_0)) = k3_lattices(esk1_0,X1,esk30_2(esk2_0,esk3_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_263,plain,
m1_subset_1(esk31_2(esk2_0,esk3_0),u1_struct_0(esk2_0)),
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(spm,[status(thm)],[c_0_257,c_0_248]),c_0_210]),c_0_249])]),c_0_250]),c_0_251]),c_0_252]) ).
cnf(c_0_264,plain,
( k3_lattices(esk1_0,X1,X2) = k3_lattices(esk1_0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_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_258,c_0_242]),c_0_245]),c_0_246])]),c_0_231]) ).
cnf(c_0_265,plain,
( X1 = X2
| g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
i_0_112 ).
cnf(c_0_266,negated_conjecture,
( u1_lattices(esk2_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_221]),c_0_222]),c_0_223])]) ).
cnf(c_0_267,negated_conjecture,
g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(rw,[status(thm)],[c_0_239,c_0_242]) ).
cnf(c_0_268,plain,
( k1_lattices(esk2_0,X1,esk30_2(esk2_0,esk3_0)) = k3_lattices(esk2_0,X1,esk30_2(esk2_0,esk3_0))
| ~ m1_subset_1(X1,u1_struct_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_244,c_0_256]),c_0_219]),c_0_260])]),c_0_250]) ).
cnf(c_0_269,plain,
( k2_binop_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0),u1_struct_0(esk2_0),u2_lattices(esk1_0),X1,esk30_2(esk2_0,esk3_0)) = k1_lattices(esk1_0,X1,esk30_2(esk2_0,esk3_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_261,c_0_256]) ).
cnf(c_0_270,plain,
k1_lattices(esk1_0,esk31_2(esk2_0,esk3_0),esk30_2(esk2_0,esk3_0)) = k3_lattices(esk1_0,esk31_2(esk2_0,esk3_0),esk30_2(esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_271,plain,
( k3_lattices(esk1_0,X1,esk30_2(esk2_0,esk3_0)) = k3_lattices(esk1_0,esk30_2(esk2_0,esk3_0),X1)
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_264,c_0_256]) ).
cnf(c_0_272,negated_conjecture,
( X1 = X2
| g3_lattices(u1_struct_0(esk2_0),X1,u1_lattices(esk2_0)) != g3_lattices(X3,X2,X4)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_221]),c_0_222]),c_0_223])]) ).
cnf(c_0_273,negated_conjecture,
u1_lattices(esk1_0) = u1_lattices(esk2_0),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_274,plain,
( k2_binop_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0),u1_struct_0(esk2_0),u2_lattices(esk2_0),X1,esk30_2(esk2_0,esk3_0)) = k1_lattices(esk2_0,X1,esk30_2(esk2_0,esk3_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_256]),c_0_219])]),c_0_250]) ).
cnf(c_0_275,plain,
k1_lattices(esk2_0,esk31_2(esk2_0,esk3_0),esk30_2(esk2_0,esk3_0)) = k3_lattices(esk2_0,esk31_2(esk2_0,esk3_0),esk30_2(esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_268,c_0_263]) ).
cnf(c_0_276,plain,
( k3_lattices(esk2_0,X1,esk30_2(esk2_0,esk3_0)) = k3_lattices(esk2_0,esk30_2(esk2_0,esk3_0),X1)
| ~ m1_subset_1(X1,u1_struct_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_258,c_0_256]),c_0_219]),c_0_260])]),c_0_250]) ).
cnf(c_0_277,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r2_hidden(X3,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ m2_lattice4(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(k3_lattices(X1,X3,X4),X2) ),
i_0_37 ).
cnf(c_0_278,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
i_0_170 ).
cnf(c_0_279,plain,
k2_binop_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0),u1_struct_0(esk2_0),u2_lattices(esk1_0),esk31_2(esk2_0,esk3_0),esk30_2(esk2_0,esk3_0)) = k3_lattices(esk1_0,esk31_2(esk2_0,esk3_0),esk30_2(esk2_0,esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_263]),c_0_270]) ).
cnf(c_0_280,plain,
k3_lattices(esk1_0,esk31_2(esk2_0,esk3_0),esk30_2(esk2_0,esk3_0)) = k3_lattices(esk1_0,esk30_2(esk2_0,esk3_0),esk31_2(esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_271,c_0_263]) ).
cnf(c_0_281,negated_conjecture,
( u2_lattices(esk2_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_233]),c_0_234]),c_0_235])]) ).
cnf(c_0_282,negated_conjecture,
g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk1_0),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(rw,[status(thm)],[c_0_267,c_0_273]) ).
cnf(c_0_283,plain,
k2_binop_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0),u1_struct_0(esk2_0),u2_lattices(esk2_0),esk31_2(esk2_0,esk3_0),esk30_2(esk2_0,esk3_0)) = k3_lattices(esk2_0,esk31_2(esk2_0,esk3_0),esk30_2(esk2_0,esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_263]),c_0_275]) ).
cnf(c_0_284,plain,
k3_lattices(esk2_0,esk31_2(esk2_0,esk3_0),esk30_2(esk2_0,esk3_0)) = k3_lattices(esk2_0,esk30_2(esk2_0,esk3_0),esk31_2(esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_276,c_0_263]) ).
cnf(c_0_285,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r2_hidden(k3_lattices(X1,X3,X4),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X3,X2)
| ~ m2_lattice4(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
i_0_38 ).
cnf(c_0_286,plain,
( r2_hidden(X1,X2)
| v3_struct_0(X3)
| ~ r2_hidden(k3_lattices(X3,X1,X4),X2)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ m2_filter_2(X2,X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_277,c_0_227]),c_0_278]) ).
cnf(c_0_287,plain,
k2_binop_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0),u1_struct_0(esk2_0),u2_lattices(esk1_0),esk31_2(esk2_0,esk3_0),esk30_2(esk2_0,esk3_0)) = k3_lattices(esk1_0,esk30_2(esk2_0,esk3_0),esk31_2(esk2_0,esk3_0)),
inference(rw,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_288,negated_conjecture,
u2_lattices(esk1_0) = u2_lattices(esk2_0),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_289,plain,
k2_binop_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0),u1_struct_0(esk2_0),u2_lattices(esk2_0),esk31_2(esk2_0,esk3_0),esk30_2(esk2_0,esk3_0)) = k3_lattices(esk2_0,esk30_2(esk2_0,esk3_0),esk31_2(esk2_0,esk3_0)),
inference(rw,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_290,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r2_hidden(X3,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ m2_lattice4(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(k3_lattices(X1,X4,X3),X2) ),
i_0_36 ).
cnf(c_0_291,plain,
( r2_hidden(k3_lattices(X1,X2,X3),X4)
| v3_struct_0(X1)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m2_filter_2(X4,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_285,c_0_227]),c_0_278]) ).
cnf(c_0_292,plain,
( r2_hidden(esk31_2(esk2_0,esk3_0),X1)
| ~ r2_hidden(k3_lattices(esk1_0,esk30_2(esk2_0,esk3_0),esk31_2(esk2_0,esk3_0)),X1)
| ~ m2_filter_2(X1,esk1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_280]),c_0_242]),c_0_256]),c_0_242]),c_0_263]),c_0_229]),c_0_230])]),c_0_231]) ).
cnf(c_0_293,plain,
k3_lattices(esk1_0,esk30_2(esk2_0,esk3_0),esk31_2(esk2_0,esk3_0)) = k3_lattices(esk2_0,esk30_2(esk2_0,esk3_0),esk31_2(esk2_0,esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_288]),c_0_289]) ).
cnf(c_0_294,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| r2_hidden(esk31_2(X1,X2),X2)
| r2_hidden(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_158 ).
cnf(c_0_295,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
i_0_167 ).
cnf(c_0_296,plain,
( r2_hidden(X1,X2)
| v3_struct_0(X3)
| ~ r2_hidden(k3_lattices(X3,X4,X1),X2)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ m2_filter_2(X2,X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_290,c_0_227]),c_0_278]) ).
cnf(c_0_297,plain,
( r2_hidden(k3_lattices(esk1_0,X1,X2),X3)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m2_filter_2(X3,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_242]),c_0_229]),c_0_230])]),c_0_231]) ).
cnf(c_0_298,plain,
( r2_hidden(esk31_2(esk2_0,esk3_0),X1)
| ~ r2_hidden(k3_lattices(esk2_0,esk30_2(esk2_0,esk3_0),esk31_2(esk2_0,esk3_0)),X1)
| ~ m2_filter_2(X1,esk1_0) ),
inference(rw,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_299,plain,
( r2_hidden(k3_lattices(esk2_0,esk30_2(esk2_0,esk3_0),esk31_2(esk2_0,esk3_0)),esk3_0)
| r2_hidden(esk31_2(esk2_0,esk3_0),esk3_0) ),
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(spm,[status(thm)],[c_0_294,c_0_248]),c_0_210]),c_0_249])]),c_0_250]),c_0_251]),c_0_252]) ).
cnf(c_0_300,plain,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_295,c_0_241]) ).
cnf(c_0_301,plain,
( r2_hidden(esk30_2(esk2_0,esk3_0),X1)
| ~ r2_hidden(k3_lattices(esk1_0,esk30_2(esk2_0,esk3_0),esk31_2(esk2_0,esk3_0)),X1)
| ~ m2_filter_2(X1,esk1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_280]),c_0_242]),c_0_263]),c_0_242]),c_0_256]),c_0_229]),c_0_230])]),c_0_231]) ).
cnf(c_0_302,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| r2_hidden(esk30_2(X1,X2),X2)
| r2_hidden(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_159 ).
cnf(c_0_303,plain,
( r2_hidden(k3_lattices(esk1_0,X1,esk31_2(esk2_0,esk3_0)),X2)
| ~ r2_hidden(esk31_2(esk2_0,esk3_0),X2)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m2_filter_2(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_297,c_0_263]) ).
cnf(c_0_304,plain,
r2_hidden(esk31_2(esk2_0,esk3_0),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_228])]) ).
cnf(c_0_305,plain,
( m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ r2_hidden(X1,esk3_0) ),
inference(rw,[status(thm)],[c_0_300,c_0_242]) ).
cnf(c_0_306,plain,
( r2_hidden(esk30_2(esk2_0,esk3_0),X1)
| ~ r2_hidden(k3_lattices(esk2_0,esk30_2(esk2_0,esk3_0),esk31_2(esk2_0,esk3_0)),X1)
| ~ m2_filter_2(X1,esk1_0) ),
inference(rw,[status(thm)],[c_0_301,c_0_293]) ).
cnf(c_0_307,plain,
( r2_hidden(k3_lattices(esk2_0,esk30_2(esk2_0,esk3_0),esk31_2(esk2_0,esk3_0)),esk3_0)
| r2_hidden(esk30_2(esk2_0,esk3_0),esk3_0) ),
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(spm,[status(thm)],[c_0_302,c_0_248]),c_0_210]),c_0_249])]),c_0_250]),c_0_251]),c_0_252]) ).
cnf(c_0_308,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(esk30_2(X1,X2),X2)
| ~ r2_hidden(esk31_2(X1,X2),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2) ),
i_0_160 ).
cnf(c_0_309,plain,
( r2_hidden(k3_lattices(esk1_0,X1,esk31_2(esk2_0,esk3_0)),esk3_0)
| ~ r2_hidden(X1,esk3_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_228])]),c_0_305]) ).
cnf(c_0_310,plain,
r2_hidden(esk30_2(esk2_0,esk3_0),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_228])]) ).
cnf(c_0_311,plain,
( v3_struct_0(X1)
| m2_filter_2(X2,X1)
| ~ r2_hidden(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2)
| ~ r2_hidden(esk30_2(X1,X2),X2)
| ~ r2_hidden(esk31_2(X1,X2),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[c_0_308,c_0_278]) ).
cnf(c_0_312,plain,
r2_hidden(k3_lattices(esk2_0,esk30_2(esk2_0,esk3_0),esk31_2(esk2_0,esk3_0)),esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_293]) ).
cnf(c_0_313,plain,
$false,
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_311,c_0_312]),c_0_310]),c_0_304]),c_0_248]),c_0_210]),c_0_249])]),c_0_250]),c_0_251]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LAT299+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 30 03:44:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected complete mode:
% 16.73/3.62 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 16.73/3.62 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 16.73/3.62 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 40; version: 991; iters: 150)
% 16.73/3.62 # Preprocessing time : 0.716 s
% 16.73/3.62
% 16.73/3.62 # Proof found!
% 16.73/3.62 # SZS status Theorem
% 16.73/3.62 # SZS output start CNFRefutation
% See solution above
% 16.73/3.62 # Training examples: 0 positive, 0 negative
% 16.73/3.62
% 16.73/3.62 # -------------------------------------------------
% 16.73/3.62 # User time : 0.908 s
% 16.73/3.62 # System time : 0.096 s
% 16.73/3.62 # Total time : 1.004 s
% 16.73/3.62 # ...preprocessing : 0.716 s
% 16.73/3.62 # ...main loop : 0.288 s
% 16.73/3.62 # Maximum resident set size: 152196 pages
% 16.73/3.62
%------------------------------------------------------------------------------