TSTP Solution File: LAT309+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT309+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 04:29:20 EDT 2022
% Result : Theorem 12.58s 2.87s
% Output : CNFRefutation 12.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 30
% Syntax : Number of clauses : 93 ( 22 unt; 45 nHn; 93 RR)
% Number of literals : 331 ( 33 equ; 198 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-2 aty)
% Number of variables : 113 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_172,plain,
( v3_struct_0(X1)
| m1_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_172) ).
cnf(i_0_110,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_110) ).
cnf(i_0_37,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_37) ).
cnf(i_0_82,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_82) ).
cnf(i_0_6,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_6) ).
cnf(i_0_5,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_5) ).
cnf(i_0_7,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_7) ).
cnf(i_0_55,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m1_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_55) ).
cnf(i_0_177,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_177) ).
cnf(i_0_179,plain,
( X1 = k5_lattices(X2)
| v3_struct_0(X2)
| r2_hidden(X1,esk28_2(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_179) ).
cnf(i_0_180,plain,
( X1 = k5_lattices(X2)
| v3_struct_0(X2)
| m1_filter_0(esk28_2(X2,X1),X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_180) ).
cnf(i_0_42,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-16lfeetn/lgb.p',i_0_42) ).
cnf(i_0_30,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-16lfeetn/lgb.p',i_0_30) ).
cnf(i_0_4,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_4) ).
cnf(i_0_189,plain,
( v3_struct_0(X1)
| v13_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_189) ).
cnf(i_0_3,negated_conjecture,
v14_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_3) ).
cnf(i_0_2,negated_conjecture,
k6_lattices(esk1_0) != esk2_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_2) ).
cnf(i_0_191,plain,
( k5_lattices(k1_lattice2(X1)) = k6_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_191) ).
cnf(i_0_170,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-16lfeetn/lgb.p',i_0_170) ).
cnf(i_0_32,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-16lfeetn/lgb.p',i_0_32) ).
cnf(i_0_52,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-16lfeetn/lgb.p',i_0_52) ).
cnf(i_0_1,negated_conjecture,
( ~ m2_filter_2(X1,esk1_0)
| ~ r2_hidden(esk2_0,X1)
| ~ r2_filter_2(esk1_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_1) ).
cnf(i_0_182,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-16lfeetn/lgb.p',i_0_182) ).
cnf(i_0_35,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-16lfeetn/lgb.p',i_0_35) ).
cnf(i_0_181,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_181) ).
cnf(i_0_31,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-16lfeetn/lgb.p',i_0_31) ).
cnf(i_0_60,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-16lfeetn/lgb.p',i_0_60) ).
cnf(i_0_58,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-16lfeetn/lgb.p',i_0_58) ).
cnf(i_0_171,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-16lfeetn/lgb.p',i_0_171) ).
cnf(i_0_178,plain,
( X1 = k5_lattices(X2)
| v3_struct_0(X2)
| v1_filter_0(esk28_2(X2,X1),X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-16lfeetn/lgb.p',i_0_178) ).
cnf(c_0_222,plain,
( v3_struct_0(X1)
| m1_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_172 ).
cnf(c_0_223,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_110 ).
cnf(c_0_224,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_37 ).
cnf(c_0_225,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_82 ).
cnf(c_0_226,plain,
( m1_filter_2(X1,k1_lattice2(X2))
| v3_struct_0(X2)
| ~ m1_filter_0(X1,k1_lattice2(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]),c_0_225]) ).
cnf(c_0_227,negated_conjecture,
v10_lattices(esk1_0),
i_0_6 ).
cnf(c_0_228,negated_conjecture,
l3_lattices(esk1_0),
i_0_5 ).
cnf(c_0_229,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_7 ).
cnf(c_0_230,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m1_filter_2(X2,X1) ),
i_0_55 ).
cnf(c_0_231,negated_conjecture,
( m1_filter_2(X1,k1_lattice2(esk1_0))
| ~ m1_filter_0(X1,k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[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_232,negated_conjecture,
~ v3_struct_0(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_228]),c_0_229]) ).
cnf(c_0_233,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_177 ).
cnf(c_0_234,plain,
( X1 = k5_lattices(X2)
| v3_struct_0(X2)
| r2_hidden(X1,esk28_2(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
i_0_179 ).
cnf(c_0_235,plain,
( ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]) ).
cnf(c_0_236,plain,
( X1 = k5_lattices(X2)
| v3_struct_0(X2)
| m1_filter_0(esk28_2(X2,X1),X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
i_0_180 ).
cnf(c_0_237,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_42 ).
cnf(c_0_238,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_30 ).
cnf(c_0_239,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
i_0_4 ).
cnf(c_0_240,plain,
( v3_struct_0(X1)
| v13_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1) ),
i_0_189 ).
cnf(c_0_241,negated_conjecture,
v14_lattices(esk1_0),
i_0_3 ).
cnf(c_0_242,negated_conjecture,
k6_lattices(esk1_0) != esk2_0,
i_0_2 ).
cnf(c_0_243,plain,
( k5_lattices(k1_lattice2(X1)) = k6_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1) ),
i_0_191 ).
cnf(c_0_244,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_170 ).
cnf(c_0_245,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_32 ).
cnf(c_0_246,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_52 ).
cnf(c_0_247,negated_conjecture,
( ~ m2_filter_2(X1,esk1_0)
| ~ r2_hidden(esk2_0,X1)
| ~ r2_filter_2(esk1_0,X1) ),
i_0_1 ).
cnf(c_0_248,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_182 ).
cnf(c_0_249,plain,
( X1 = k5_lattices(X2)
| v3_struct_0(X2)
| m1_subset_1(X1,esk28_2(X2,X1))
| ~ v13_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_250,plain,
( ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,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_235,c_0_223]),c_0_228]),c_0_227])]),c_0_229]) ).
cnf(c_0_251,plain,
( k5_filter_2(X1,X2) = k5_lattices(k1_lattice2(X1))
| m1_filter_0(esk28_2(k1_lattice2(X1),k5_filter_2(X1,X2)),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_223]),c_0_224]),c_0_225]) ).
cnf(c_0_252,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_238,c_0_239]),c_0_228]),c_0_227])]),c_0_229]) ).
cnf(c_0_253,negated_conjecture,
v13_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_240,c_0_241]),c_0_228]),c_0_227])]),c_0_229]) ).
cnf(c_0_254,negated_conjecture,
esk2_0 != k5_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_242,c_0_243]),c_0_241]),c_0_228]),c_0_227])]),c_0_229]) ).
cnf(c_0_255,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_35 ).
cnf(c_0_256,negated_conjecture,
( k14_filter_2(esk1_0,X1) = k8_filter_2(esk1_0,X1)
| ~ m1_filter_0(X1,k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_227]),c_0_228])]),c_0_229]) ).
cnf(c_0_257,plain,
( k8_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_223]),c_0_224]),c_0_225]) ).
cnf(c_0_258,negated_conjecture,
( ~ v1_filter_0(k15_filter_2(esk1_0,X1),k1_lattice2(esk1_0))
| ~ r2_hidden(esk2_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(spm,[status(thm)],[c_0_247,c_0_248]),c_0_228]),c_0_227])]),c_0_229]) ).
cnf(c_0_259,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_181 ).
cnf(c_0_260,plain,
( k5_filter_2(X1,X2) = k5_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),esk28_2(k1_lattice2(X1),k5_filter_2(X1,X2)))
| ~ v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_237]),c_0_223]),c_0_224]),c_0_225]) ).
cnf(c_0_261,plain,
( ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_224]),c_0_228])]) ).
cnf(c_0_262,negated_conjecture,
m1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0)),
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_251,c_0_239]),c_0_252]),c_0_252]),c_0_253]),c_0_228]),c_0_227])]),c_0_254]),c_0_229]) ).
cnf(c_0_263,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_31 ).
cnf(c_0_264,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_60 ).
cnf(c_0_265,plain,
( m2_filter_2(k8_filter_2(esk1_0,X1),esk1_0)
| ~ m1_filter_0(X1,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_255,c_0_256]),c_0_228]),c_0_227])]),c_0_229]) ).
cnf(c_0_266,negated_conjecture,
( k8_filter_2(esk1_0,X1) = X1
| ~ m1_filter_0(X1,k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_227]),c_0_228])]),c_0_229]) ).
cnf(c_0_267,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_58 ).
cnf(c_0_268,plain,
( v1_xboole_0(X1)
| ~ v1_filter_0(k15_filter_2(esk1_0,X1),k1_lattice2(esk1_0))
| ~ m1_subset_1(esk2_0,X1)
| ~ m2_filter_2(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_269,negated_conjecture,
m1_subset_1(esk2_0,esk28_2(k1_lattice2(esk1_0),esk2_0)),
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(spm,[status(thm)],[c_0_260,c_0_252]),c_0_253]),c_0_228]),c_0_227]),c_0_239])]),c_0_254]),c_0_229]) ).
cnf(c_0_270,plain,
~ v1_xboole_0(esk28_2(k1_lattice2(esk1_0),esk2_0)),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_271,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_272,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_171 ).
cnf(c_0_273,plain,
( m2_filter_2(X1,esk1_0)
| ~ m1_filter_0(X1,k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_274,plain,
( m2_lattice4(k8_filter_2(esk1_0,X1),esk1_0)
| ~ m1_filter_0(X1,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_267,c_0_265]),c_0_228]),c_0_227])]),c_0_229]) ).
cnf(c_0_275,plain,
( X1 = k5_lattices(X2)
| v3_struct_0(X2)
| v1_filter_0(esk28_2(X2,X1),X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
i_0_178 ).
cnf(c_0_276,plain,
( ~ v1_filter_0(k15_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)),k1_lattice2(esk1_0))
| ~ m2_filter_2(esk28_2(k1_lattice2(esk1_0),esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_270]) ).
cnf(c_0_277,negated_conjecture,
( k7_filter_2(esk1_0,X1) = X1
| ~ m2_lattice4(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_227]),c_0_228])]),c_0_229]) ).
cnf(c_0_278,plain,
( k7_filter_2(esk1_0,X1) = k15_filter_2(esk1_0,X1)
| ~ m1_filter_0(X1,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_272,c_0_273]),c_0_228]),c_0_227])]),c_0_229]) ).
cnf(c_0_279,plain,
( m2_lattice4(X1,esk1_0)
| ~ m1_filter_0(X1,k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_274,c_0_266]) ).
cnf(c_0_280,plain,
( k5_filter_2(X1,X2) = k5_lattices(k1_lattice2(X1))
| v1_filter_0(esk28_2(k1_lattice2(X1),k5_filter_2(X1,X2)),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_237]),c_0_223]),c_0_224]),c_0_225]) ).
cnf(c_0_281,plain,
~ v1_filter_0(k15_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)),k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_273]),c_0_262])]) ).
cnf(c_0_282,negated_conjecture,
( k15_filter_2(esk1_0,X1) = X1
| ~ m1_filter_0(X1,k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_279]) ).
cnf(c_0_283,negated_conjecture,
v1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0)),
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_280,c_0_239]),c_0_252]),c_0_252]),c_0_253]),c_0_228]),c_0_227])]),c_0_254]),c_0_229]) ).
cnf(c_0_284,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_283]),c_0_262])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT309+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 20:02:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 12.58/2.87 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.58/2.87 # No SInE strategy applied
% 12.58/2.87 # Trying AutoSched0 for 150 seconds
% 12.58/2.87 # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 12.58/2.87 # and selection function SelectMaxLComplexAvoidPosPred.
% 12.58/2.87 #
% 12.58/2.87 # Preprocessing time : 0.027 s
% 12.58/2.87 # Presaturation interreduction done
% 12.58/2.87
% 12.58/2.87 # Proof found!
% 12.58/2.87 # SZS status Theorem
% 12.58/2.87 # SZS output start CNFRefutation
% See solution above
% 12.58/2.87 # Training examples: 0 positive, 0 negative
% 12.58/2.87
% 12.58/2.87 # -------------------------------------------------
% 12.58/2.87 # User time : 0.606 s
% 12.58/2.87 # System time : 0.018 s
% 12.58/2.87 # Total time : 0.624 s
% 12.58/2.87 # Maximum resident set size: 7128 pages
% 12.58/2.87
%------------------------------------------------------------------------------