TSTP Solution File: LAT331+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT331+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 04:29:46 EDT 2022
% Result : Theorem 8.55s 2.52s
% Output : CNFRefutation 8.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 30
% Syntax : Number of clauses : 108 ( 61 unt; 15 nHn; 108 RR)
% Number of literals : 275 ( 58 equ; 153 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 119 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_53,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_53) ).
cnf(i_0_9,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_9) ).
cnf(i_0_62,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-0q1y3a9c/lgb.p',i_0_62) ).
cnf(i_0_52,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_52) ).
cnf(i_0_6,negated_conjecture,
l3_lattices(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_6) ).
cnf(i_0_160,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_160) ).
cnf(i_0_63,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-0q1y3a9c/lgb.p',i_0_63) ).
cnf(i_0_64,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_64) ).
cnf(i_0_66,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-0q1y3a9c/lgb.p',i_0_66) ).
cnf(i_0_121,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-0q1y3a9c/lgb.p',i_0_121) ).
cnf(i_0_67,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-0q1y3a9c/lgb.p',i_0_67) ).
cnf(i_0_68,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_68) ).
cnf(i_0_3,negated_conjecture,
g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_3) ).
cnf(i_0_119,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-0q1y3a9c/lgb.p',i_0_119) ).
cnf(i_0_5,negated_conjecture,
m1_filter_2(esk3_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_5) ).
cnf(i_0_2,negated_conjecture,
esk4_0 = esk3_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_2) ).
cnf(i_0_31,plain,
( esk5_3(X1,X2,X3) = k1_realset1(u2_lattices(X1),X2)
| v3_struct_0(X3)
| v3_struct_0(X1)
| X3 != k8_filter_0(X1,X2)
| ~ v10_lattices(X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X3)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_31) ).
cnf(i_0_46,plain,
( v3_struct_0(X1)
| l3_lattices(k8_filter_0(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_46) ).
cnf(i_0_83,plain,
( v3_struct_0(X1)
| v10_lattices(k8_filter_0(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_83) ).
cnf(i_0_91,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v3_struct_0(k8_filter_0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_91) ).
cnf(i_0_158,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_158) ).
cnf(i_0_10,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_10) ).
cnf(i_0_11,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_11) ).
cnf(i_0_30,plain,
( esk6_3(X1,X2,X3) = k1_realset1(u1_lattices(X1),X2)
| v3_struct_0(X3)
| v3_struct_0(X1)
| X3 != k8_filter_0(X1,X2)
| ~ v10_lattices(X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X3)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_30) ).
cnf(i_0_29,plain,
( g3_lattices(X1,esk5_3(X2,X1,X3),esk6_3(X2,X1,X3)) = X3
| v3_struct_0(X2)
| v3_struct_0(X3)
| X3 != k8_filter_0(X2,X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X3)
| ~ l3_lattices(X2)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_29) ).
cnf(i_0_120,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-0q1y3a9c/lgb.p',i_0_120) ).
cnf(i_0_4,negated_conjecture,
m1_filter_2(esk4_0,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_4) ).
cnf(i_0_7,negated_conjecture,
v10_lattices(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
~ v3_struct_0(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_8) ).
cnf(i_0_1,negated_conjecture,
k8_filter_0(esk2_0,esk4_0) != k8_filter_0(esk1_0,esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0q1y3a9c/lgb.p',i_0_1) ).
cnf(c_0_191,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_53 ).
cnf(c_0_192,negated_conjecture,
l3_lattices(esk1_0),
i_0_9 ).
cnf(c_0_193,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_62 ).
cnf(c_0_194,negated_conjecture,
l1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_195,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_52 ).
cnf(c_0_196,negated_conjecture,
l3_lattices(esk2_0),
i_0_6 ).
cnf(c_0_197,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_160 ).
cnf(c_0_198,negated_conjecture,
m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_199,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_63 ).
cnf(c_0_200,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
i_0_64 ).
cnf(c_0_201,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_66 ).
cnf(c_0_202,negated_conjecture,
l2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_195,c_0_192]) ).
cnf(c_0_203,negated_conjecture,
l2_lattices(esk2_0),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_204,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_121 ).
cnf(c_0_205,plain,
m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_206,negated_conjecture,
v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_199,c_0_194]) ).
cnf(c_0_207,negated_conjecture,
v1_funct_1(u1_lattices(esk1_0)),
inference(spm,[status(thm)],[c_0_200,c_0_194]) ).
cnf(c_0_208,negated_conjecture,
m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_209,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_67 ).
cnf(c_0_210,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
i_0_68 ).
cnf(c_0_211,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_201,c_0_203]) ).
cnf(c_0_212,negated_conjecture,
l1_lattices(esk2_0),
inference(spm,[status(thm)],[c_0_191,c_0_196]) ).
cnf(c_0_213,plain,
( u1_struct_0(esk1_0) = X1
| g3_lattices(u1_struct_0(esk1_0),X2,u1_lattices(esk1_0)) != g3_lattices(X1,X3,X4)
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]),c_0_207])]) ).
cnf(c_0_214,plain,
m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_197,c_0_208]) ).
cnf(c_0_215,negated_conjecture,
g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)),
i_0_3 ).
cnf(c_0_216,negated_conjecture,
v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_209,c_0_202]) ).
cnf(c_0_217,plain,
v1_funct_1(u2_lattices(esk1_0)),
inference(spm,[status(thm)],[c_0_210,c_0_202]) ).
cnf(c_0_218,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_119 ).
cnf(c_0_219,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_197,c_0_211]) ).
cnf(c_0_220,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_209,c_0_203]) ).
cnf(c_0_221,plain,
v1_funct_1(u2_lattices(esk2_0)),
inference(spm,[status(thm)],[c_0_210,c_0_203]) ).
cnf(c_0_222,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_193,c_0_212]) ).
cnf(c_0_223,plain,
( u1_struct_0(esk1_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215]),c_0_216]),c_0_217])]) ).
cnf(c_0_224,negated_conjecture,
m1_filter_2(esk3_0,esk1_0),
i_0_5 ).
cnf(c_0_225,negated_conjecture,
esk4_0 = esk3_0,
i_0_2 ).
cnf(c_0_226,plain,
( X1 = X2
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),X1) != g3_lattices(X3,X4,X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(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_218,c_0_219]),c_0_220]),c_0_221])]) ).
cnf(c_0_227,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_197,c_0_222]) ).
cnf(c_0_228,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_199,c_0_212]) ).
cnf(c_0_229,negated_conjecture,
v1_funct_1(u1_lattices(esk2_0)),
inference(spm,[status(thm)],[c_0_200,c_0_212]) ).
cnf(c_0_230,plain,
u1_struct_0(esk1_0) = u1_struct_0(esk2_0),
inference(er,[status(thm)],[c_0_223]) ).
cnf(c_0_231,plain,
( esk5_3(X1,X2,X3) = k1_realset1(u2_lattices(X1),X2)
| v3_struct_0(X3)
| v3_struct_0(X1)
| X3 != k8_filter_0(X1,X2)
| ~ v10_lattices(X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X3)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_31 ).
cnf(c_0_232,plain,
( v3_struct_0(X1)
| l3_lattices(k8_filter_0(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_46 ).
cnf(c_0_233,plain,
( v3_struct_0(X1)
| v10_lattices(k8_filter_0(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_83 ).
cnf(c_0_234,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v3_struct_0(k8_filter_0(X1,X2)) ),
i_0_91 ).
cnf(c_0_235,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
i_0_158 ).
cnf(c_0_236,negated_conjecture,
m1_filter_2(esk4_0,esk1_0),
inference(rw,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_237,negated_conjecture,
v10_lattices(esk1_0),
i_0_10 ).
cnf(c_0_238,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_11 ).
cnf(c_0_239,plain,
( esk6_3(X1,X2,X3) = k1_realset1(u1_lattices(X1),X2)
| v3_struct_0(X3)
| v3_struct_0(X1)
| X3 != k8_filter_0(X1,X2)
| ~ v10_lattices(X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X3)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_30 ).
cnf(c_0_240,plain,
( 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_226,c_0_227]),c_0_228]),c_0_229])]) ).
cnf(c_0_241,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_215,c_0_230]) ).
cnf(c_0_242,plain,
( g3_lattices(X1,esk5_3(X2,X1,X3),esk6_3(X2,X1,X3)) = X3
| v3_struct_0(X2)
| v3_struct_0(X3)
| X3 != k8_filter_0(X2,X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X3)
| ~ l3_lattices(X2)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X1,X2) ),
i_0_29 ).
cnf(c_0_243,plain,
( esk5_3(X1,X2,k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_231]),c_0_232]),c_0_233]),c_0_234]) ).
cnf(c_0_244,negated_conjecture,
m1_filter_0(esk4_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_235,c_0_236]),c_0_237]),c_0_192])]),c_0_238]) ).
cnf(c_0_245,plain,
( esk6_3(X1,X2,k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_239]),c_0_232]),c_0_233]),c_0_234]) ).
cnf(c_0_246,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_120 ).
cnf(c_0_247,negated_conjecture,
u1_lattices(esk1_0) = u1_lattices(esk2_0),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_248,negated_conjecture,
m1_filter_2(esk4_0,esk2_0),
i_0_4 ).
cnf(c_0_249,negated_conjecture,
v10_lattices(esk2_0),
i_0_7 ).
cnf(c_0_250,negated_conjecture,
~ v3_struct_0(esk2_0),
i_0_8 ).
cnf(c_0_251,plain,
( g3_lattices(X1,esk5_3(X2,X1,k8_filter_0(X2,X1)),esk6_3(X2,X1,k8_filter_0(X2,X1))) = k8_filter_0(X2,X1)
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_242]),c_0_232]),c_0_233]),c_0_234]) ).
cnf(c_0_252,negated_conjecture,
esk5_3(esk1_0,esk4_0,k8_filter_0(esk1_0,esk4_0)) = k1_realset1(u2_lattices(esk1_0),esk4_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_244]),c_0_237]),c_0_192])]),c_0_238]) ).
cnf(c_0_253,negated_conjecture,
esk6_3(esk1_0,esk4_0,k8_filter_0(esk1_0,esk4_0)) = k1_realset1(u1_lattices(esk1_0),esk4_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_244]),c_0_237]),c_0_192])]),c_0_238]) ).
cnf(c_0_254,plain,
( X1 = X2
| g3_lattices(u1_struct_0(esk2_0),X1,u1_lattices(esk2_0)) != g3_lattices(X3,X2,X4)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ v1_funct_2(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_246,c_0_227]),c_0_228]),c_0_229])]) ).
cnf(c_0_255,plain,
m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_230]),c_0_230]),c_0_230]) ).
cnf(c_0_256,negated_conjecture,
v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_230]),c_0_230]),c_0_230]) ).
cnf(c_0_257,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_241,c_0_247]) ).
cnf(c_0_258,negated_conjecture,
m1_filter_0(esk4_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_235,c_0_248]),c_0_249]),c_0_196])]),c_0_250]) ).
cnf(c_0_259,negated_conjecture,
g3_lattices(esk4_0,k1_realset1(u2_lattices(esk1_0),esk4_0),k1_realset1(u1_lattices(esk1_0),esk4_0)) = k8_filter_0(esk1_0,esk4_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_251,c_0_244]),c_0_252]),c_0_253]),c_0_237]),c_0_192])]),c_0_238]) ).
cnf(c_0_260,plain,
( u2_lattices(esk1_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X1,X3) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]),c_0_217])]),c_0_257]) ).
cnf(c_0_261,negated_conjecture,
esk5_3(esk2_0,esk4_0,k8_filter_0(esk2_0,esk4_0)) = k1_realset1(u2_lattices(esk2_0),esk4_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_258]),c_0_249]),c_0_196])]),c_0_250]) ).
cnf(c_0_262,negated_conjecture,
esk6_3(esk2_0,esk4_0,k8_filter_0(esk2_0,esk4_0)) = k1_realset1(u1_lattices(esk2_0),esk4_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_258]),c_0_249]),c_0_196])]),c_0_250]) ).
cnf(c_0_263,negated_conjecture,
k8_filter_0(esk2_0,esk4_0) != k8_filter_0(esk1_0,esk3_0),
i_0_1 ).
cnf(c_0_264,negated_conjecture,
g3_lattices(esk4_0,k1_realset1(u2_lattices(esk1_0),esk4_0),k1_realset1(u1_lattices(esk2_0),esk4_0)) = k8_filter_0(esk1_0,esk4_0),
inference(rw,[status(thm)],[c_0_259,c_0_247]) ).
cnf(c_0_265,plain,
u2_lattices(esk1_0) = u2_lattices(esk2_0),
inference(er,[status(thm)],[c_0_260]) ).
cnf(c_0_266,negated_conjecture,
g3_lattices(esk4_0,k1_realset1(u2_lattices(esk2_0),esk4_0),k1_realset1(u1_lattices(esk2_0),esk4_0)) = k8_filter_0(esk2_0,esk4_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_251,c_0_258]),c_0_261]),c_0_262]),c_0_249]),c_0_196])]),c_0_250]) ).
cnf(c_0_267,negated_conjecture,
k8_filter_0(esk1_0,esk4_0) != k8_filter_0(esk2_0,esk4_0),
inference(rw,[status(thm)],[c_0_263,c_0_225]) ).
cnf(c_0_268,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_265]),c_0_266]),c_0_267]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT331+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 30 09:58:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 8.55/2.52 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.55/2.52 # No SInE strategy applied
% 8.55/2.52 # Trying AutoSched0 for 150 seconds
% 8.55/2.52 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S064I
% 8.55/2.52 # and selection function SelectComplexG.
% 8.55/2.52 #
% 8.55/2.52 # Preprocessing time : 0.023 s
% 8.55/2.52 # Presaturation interreduction done
% 8.55/2.52
% 8.55/2.52 # Proof found!
% 8.55/2.52 # SZS status Theorem
% 8.55/2.52 # SZS output start CNFRefutation
% See solution above
% 8.55/2.52 # Training examples: 0 positive, 0 negative
% 8.55/2.52
% 8.55/2.52 # -------------------------------------------------
% 8.55/2.52 # User time : 0.075 s
% 8.55/2.52 # System time : 0.009 s
% 8.55/2.52 # Total time : 0.084 s
% 8.55/2.52 # Maximum resident set size: 7120 pages
% 8.55/2.52
%------------------------------------------------------------------------------