TSTP Solution File: LAT324+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT324+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 04:29:38 EDT 2022
% Result : Theorem 23.13s 4.28s
% Output : CNFRefutation 23.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 27
% Syntax : Number of clauses : 89 ( 22 unt; 58 nHn; 89 RR)
% Number of literals : 311 ( 33 equ; 153 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 82 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_49,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-toqi4cs2/lgb.p',i_0_49) ).
cnf(i_0_5,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_6) ).
cnf(i_0_8,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_9) ).
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-toqi4cs2/lgb.p',i_0_61) ).
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-toqi4cs2/lgb.p',i_0_116) ).
cnf(i_0_7,negated_conjecture,
v17_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_7) ).
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-toqi4cs2/lgb.p',i_0_143) ).
cnf(i_0_267,plain,
( X1 = X2
| v3_struct_0(X3)
| m1_filter_0(esk32_3(X3,X1,X2),X3)
| ~ v10_lattices(X3)
| ~ v17_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_267) ).
cnf(i_0_4,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_4) ).
cnf(i_0_56,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_56) ).
cnf(i_0_3,negated_conjecture,
esk3_0 != esk2_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_3) ).
cnf(i_0_69,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_69) ).
cnf(i_0_54,plain,
( v3_struct_0(X1)
| m2_filter_2(k14_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_54) ).
cnf(i_0_247,plain,
( k8_filter_2(X1,X2) = k14_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_247) ).
cnf(i_0_63,plain,
( v3_struct_0(X1)
| m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_63) ).
cnf(i_0_51,plain,
( k8_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(k1_lattice2(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_51) ).
cnf(i_0_50,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-toqi4cs2/lgb.p',i_0_50) ).
cnf(i_0_248,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-toqi4cs2/lgb.p',i_0_248) ).
cnf(i_0_266,plain,
( X1 = X2
| v3_struct_0(X3)
| v1_filter_0(esk32_3(X3,X1,X2),X3)
| ~ v10_lattices(X3)
| ~ v17_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_266) ).
cnf(i_0_256,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-toqi4cs2/lgb.p',i_0_256) ).
cnf(i_0_264,plain,
( X1 = X2
| v3_struct_0(X3)
| r2_hidden(X2,esk32_3(X3,X2,X1))
| r2_hidden(X1,esk32_3(X3,X2,X1))
| ~ v10_lattices(X3)
| ~ v17_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_264) ).
cnf(i_0_2,negated_conjecture,
( r2_hidden(esk3_0,X1)
| ~ m2_filter_2(X1,esk1_0)
| ~ r2_filter_2(esk1_0,X1)
| ~ r2_hidden(esk2_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_2) ).
cnf(i_0_1,negated_conjecture,
( r2_hidden(esk2_0,X1)
| ~ m2_filter_2(X1,esk1_0)
| ~ r2_filter_2(esk1_0,X1)
| ~ r2_hidden(esk3_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_1) ).
cnf(i_0_263,plain,
( X1 = X2
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ v17_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ r2_hidden(X2,esk32_3(X3,X1,X2))
| ~ r2_hidden(X1,esk32_3(X3,X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_263) ).
cnf(i_0_99,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-toqi4cs2/lgb.p',i_0_99) ).
cnf(c_0_295,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_49 ).
cnf(c_0_296,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
i_0_5 ).
cnf(c_0_297,negated_conjecture,
l3_lattices(esk1_0),
i_0_6 ).
cnf(c_0_298,negated_conjecture,
v10_lattices(esk1_0),
i_0_8 ).
cnf(c_0_299,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_9 ).
cnf(c_0_300,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_301,negated_conjecture,
k5_filter_2(esk1_0,esk2_0) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_297]),c_0_298])]),c_0_299]) ).
cnf(c_0_302,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_303,negated_conjecture,
v17_lattices(esk1_0),
i_0_7 ).
cnf(c_0_304,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_143 ).
cnf(c_0_305,plain,
( X1 = X2
| v3_struct_0(X3)
| m1_filter_0(esk32_3(X3,X1,X2),X3)
| ~ v10_lattices(X3)
| ~ v17_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3)) ),
i_0_267 ).
cnf(c_0_306,negated_conjecture,
m1_subset_1(esk2_0,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_300,c_0_296]),c_0_301]),c_0_297]),c_0_298])]),c_0_299]) ).
cnf(c_0_307,negated_conjecture,
v17_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_297]),c_0_298])]),c_0_299]) ).
cnf(c_0_308,negated_conjecture,
v10_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_297]),c_0_298])]),c_0_299]) ).
cnf(c_0_309,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
i_0_4 ).
cnf(c_0_310,negated_conjecture,
( X1 = esk2_0
| m1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307]),c_0_308])]) ).
cnf(c_0_311,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_56 ).
cnf(c_0_312,negated_conjecture,
k5_filter_2(esk1_0,esk3_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_295,c_0_309]),c_0_297]),c_0_298])]),c_0_299]) ).
cnf(c_0_313,plain,
( X1 = esk2_0
| m1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_297])]) ).
cnf(c_0_314,negated_conjecture,
m1_subset_1(esk3_0,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_300,c_0_309]),c_0_312]),c_0_297]),c_0_298])]),c_0_299]) ).
cnf(c_0_315,negated_conjecture,
esk3_0 != esk2_0,
i_0_3 ).
cnf(c_0_316,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_69 ).
cnf(c_0_317,negated_conjecture,
( m1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_315]) ).
cnf(c_0_318,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_308])]) ).
cnf(c_0_319,plain,
( v3_struct_0(X1)
| m2_filter_2(k14_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1)) ),
i_0_54 ).
cnf(c_0_320,plain,
( k8_filter_2(X1,X2) = k14_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1)) ),
i_0_247 ).
cnf(c_0_321,plain,
( v3_struct_0(X1)
| m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
i_0_63 ).
cnf(c_0_322,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_311]),c_0_297])]) ).
cnf(c_0_323,plain,
( k8_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(k1_lattice2(X1)))) ),
i_0_51 ).
cnf(c_0_324,plain,
( m2_filter_2(k14_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),esk1_0)
| v3_struct_0(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_319,c_0_317]),c_0_297]),c_0_298])]),c_0_299]) ).
cnf(c_0_325,plain,
( k14_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(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_320,c_0_317]),c_0_297]),c_0_298])]),c_0_299]) ).
cnf(c_0_326,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_297]),c_0_298])]),c_0_299]) ).
cnf(c_0_327,plain,
( k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)
| v3_struct_0(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_323,c_0_322]),c_0_297]),c_0_298])]),c_0_299]) ).
cnf(c_0_328,plain,
( m2_filter_2(k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_329,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_50 ).
cnf(c_0_330,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_331,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_248 ).
cnf(c_0_332,plain,
( m2_filter_2(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_328,c_0_327]) ).
cnf(c_0_333,plain,
( X1 = X2
| v3_struct_0(X3)
| v1_filter_0(esk32_3(X3,X1,X2),X3)
| ~ v10_lattices(X3)
| ~ v17_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3)) ),
i_0_266 ).
cnf(c_0_334,plain,
( k7_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)
| v3_struct_0(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_329,c_0_330]),c_0_297]),c_0_298])]),c_0_299]) ).
cnf(c_0_335,plain,
( k7_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = k15_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(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_331,c_0_332]),c_0_297]),c_0_298])]),c_0_299]) ).
cnf(c_0_336,negated_conjecture,
( X1 = esk2_0
| v1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_306]),c_0_307]),c_0_308])]) ).
cnf(c_0_337,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_256 ).
cnf(c_0_338,plain,
( k15_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_334,c_0_335]) ).
cnf(c_0_339,plain,
( X1 = esk2_0
| v1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_311]),c_0_297])]) ).
cnf(c_0_340,plain,
( X1 = X2
| v3_struct_0(X3)
| r2_hidden(X2,esk32_3(X3,X2,X1))
| r2_hidden(X1,esk32_3(X3,X2,X1))
| ~ v10_lattices(X3)
| ~ v17_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3)) ),
i_0_264 ).
cnf(c_0_341,plain,
( r2_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_297]),c_0_298])]),c_0_299]),c_0_332]) ).
cnf(c_0_342,negated_conjecture,
( v1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_314]),c_0_315]) ).
cnf(c_0_343,negated_conjecture,
( X1 = esk3_0
| r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| r2_hidden(X1,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_314]),c_0_307]),c_0_308])]) ).
cnf(c_0_344,negated_conjecture,
( r2_hidden(esk3_0,X1)
| ~ m2_filter_2(X1,esk1_0)
| ~ r2_filter_2(esk1_0,X1)
| ~ r2_hidden(esk2_0,X1) ),
i_0_2 ).
cnf(c_0_345,plain,
( r2_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_346,negated_conjecture,
( r2_hidden(esk2_0,X1)
| ~ m2_filter_2(X1,esk1_0)
| ~ r2_filter_2(esk1_0,X1)
| ~ r2_hidden(esk3_0,X1) ),
i_0_1 ).
cnf(c_0_347,plain,
( X1 = esk3_0
| r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| r2_hidden(X1,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_311]),c_0_297])]) ).
cnf(c_0_348,negated_conjecture,
( r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_332]) ).
cnf(c_0_349,negated_conjecture,
( r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_345]),c_0_332]) ).
cnf(c_0_350,negated_conjecture,
( r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_306]),c_0_315]),c_0_348]) ).
cnf(c_0_351,plain,
( X1 = X2
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ v17_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ r2_hidden(X2,esk32_3(X3,X1,X2))
| ~ r2_hidden(X1,esk32_3(X3,X1,X2)) ),
i_0_263 ).
cnf(c_0_352,negated_conjecture,
( r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_349,c_0_350]) ).
cnf(c_0_353,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_99 ).
cnf(c_0_354,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_307]),c_0_308]),c_0_306]),c_0_314])]),c_0_315]),c_0_350]) ).
cnf(c_0_355,plain,
~ l3_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_297])]),c_0_299]) ).
cnf(c_0_356,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_311]),c_0_297])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT324+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 : n028.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 : Wed Jun 29 09:53:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 23.13/4.28 # ENIGMATIC: Solved by autoschedule-lgb:
% 23.13/4.28 # No SInE strategy applied
% 23.13/4.28 # Trying AutoSched0 for 150 seconds
% 23.13/4.28 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 23.13/4.28 # and selection function SelectComplexExceptUniqMaxHorn.
% 23.13/4.28 #
% 23.13/4.28 # Preprocessing time : 0.027 s
% 23.13/4.28 # Presaturation interreduction done
% 23.13/4.28
% 23.13/4.28 # Proof found!
% 23.13/4.28 # SZS status Theorem
% 23.13/4.28 # SZS output start CNFRefutation
% See solution above
% 23.13/4.28 # Training examples: 0 positive, 0 negative
% 23.13/4.28
% 23.13/4.28 # -------------------------------------------------
% 23.13/4.28 # User time : 1.891 s
% 23.13/4.28 # System time : 0.063 s
% 23.13/4.28 # Total time : 1.954 s
% 23.13/4.28 # Maximum resident set size: 7124 pages
% 23.13/4.28
%------------------------------------------------------------------------------