%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT284+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 04:28:49 EDT 2022
% Result : Theorem 70.00s 10.12s
% Output : CNFRefutation 70.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 36
% Syntax : Number of clauses : 105 ( 18 unt; 49 nHn; 103 RR)
% Number of literals : 417 ( 54 equ; 266 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% Number of variables : 173 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_183,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_183) ).
cnf(i_0_52,plain,
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_52) ).
cnf(i_0_242,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/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_242) ).
cnf(i_0_53,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_53) ).
cnf(i_0_54,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_54) ).
cnf(i_0_192,plain,
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_192) ).
cnf(i_0_193,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_193) ).
cnf(i_0_194,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_194) ).
cnf(i_0_268,plain,
( v3_struct_0(X1)
| m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_268) ).
cnf(i_0_175,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_175) ).
cnf(i_0_189,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_189) ).
cnf(i_0_188,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_188) ).
cnf(i_0_244,plain,
( X1 = X2
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_244) ).
cnf(i_0_269,plain,
( v3_struct_0(X1)
| v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_269) ).
cnf(i_0_270,plain,
( v3_struct_0(X1)
| v1_funct_1(k5_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_270) ).
cnf(i_0_265,plain,
( v3_struct_0(X1)
| m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_265) ).
cnf(i_0_258,plain,
( v3_lattices(g3_lattices(X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_258) ).
cnf(i_0_288,plain,
( k2_lattices(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)),X2,X3) = k3_lopclset(X1,X4,X5)
| v3_struct_0(X1)
| X3 != X5
| X2 != X4
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m2_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ m1_subset_1(X3,u1_struct_0(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1))))
| ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_288) ).
cnf(i_0_266,plain,
( v3_struct_0(X1)
| v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_266) ).
cnf(i_0_267,plain,
( v3_struct_0(X1)
| v1_funct_1(k4_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_267) ).
cnf(i_0_287,plain,
( g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)) = k6_lopclset(X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_287) ).
cnf(i_0_271,plain,
( v3_struct_0(X1)
| l3_lattices(k6_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_271) ).
cnf(i_0_254,plain,
( k4_lattices(X1,X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_254) ).
cnf(i_0_246,plain,
( k3_lopclset(X1,X2,X2) = X2
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X3,k1_lopclset(X1))
| ~ m1_subset_1(X2,k1_lopclset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_246) ).
cnf(i_0_251,plain,
m1_subset_1(esk26_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_251) ).
cnf(i_0_273,plain,
( v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v3_struct_0(k6_lopclset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_273) ).
cnf(i_0_262,plain,
( v3_struct_0(X1)
| m2_subset_1(k3_lopclset(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X3,k1_lopclset(X1))
| ~ m1_subset_1(X2,k1_lopclset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_262) ).
cnf(i_0_2,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k6_lopclset(esk1_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_2) ).
cnf(i_0_4,negated_conjecture,
l1_pre_topc(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v2_pre_topc(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_6) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k6_lopclset(esk1_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_3) ).
cnf(i_0_1,negated_conjecture,
k4_lattices(k6_lopclset(esk1_0),esk2_0,esk3_0) != k3_xboole_0(esk2_0,esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_1) ).
cnf(i_0_206,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_206) ).
cnf(i_0_272,plain,
( v3_struct_0(X1)
| v10_lattices(k6_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_272) ).
cnf(i_0_253,plain,
( k3_lopclset(X1,X2,X3) = k3_xboole_0(X2,X3)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X3,k1_lopclset(X1))
| ~ m1_subset_1(X2,k1_lopclset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wieclyem/lgb.p',i_0_253) ).
cnf(c_0_325,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_183 ).
cnf(c_0_326,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_52 ).
cnf(c_0_327,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_242 ).
cnf(c_0_328,plain,
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[c_0_325,c_0_326]) ).
cnf(c_0_329,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_53 ).
cnf(c_0_330,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
i_0_54 ).
cnf(c_0_331,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_192 ).
cnf(c_0_332,plain,
( X1 = X2
| g3_lattices(u1_struct_0(X3),u2_lattices(X3),X1) != g3_lattices(X4,X5,X2)
| ~ l2_lattices(X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_329]),c_0_330]) ).
cnf(c_0_333,plain,
( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[c_0_325,c_0_331]) ).
cnf(c_0_334,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_193 ).
cnf(c_0_335,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
i_0_194 ).
cnf(c_0_336,plain,
( v3_struct_0(X1)
| m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
i_0_268 ).
cnf(c_0_337,plain,
( u1_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X4,X2)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_334]),c_0_335]) ).
cnf(c_0_338,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
i_0_175 ).
cnf(c_0_339,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_189 ).
cnf(c_0_340,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_188 ).
cnf(c_0_341,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_244 ).
cnf(c_0_342,plain,
( m1_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_325,c_0_336]) ).
cnf(c_0_343,plain,
( v3_struct_0(X1)
| v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
i_0_269 ).
cnf(c_0_344,plain,
( v3_struct_0(X1)
| v1_funct_1(k5_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
i_0_270 ).
cnf(c_0_345,plain,
( v3_struct_0(X1)
| m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
i_0_265 ).
cnf(c_0_346,plain,
( u1_lattices(X1) = X2
| X1 != g3_lattices(X3,X4,X2)
| ~ v3_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_339]),c_0_340]) ).
cnf(c_0_347,plain,
( v3_lattices(g3_lattices(X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
i_0_258 ).
cnf(c_0_348,plain,
( k2_lattices(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)),X2,X3) = k3_lopclset(X1,X4,X5)
| v3_struct_0(X1)
| X3 != X5
| X2 != X4
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m2_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ m2_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ m1_subset_1(X3,u1_struct_0(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1))))
| ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)))) ),
i_0_288 ).
cnf(c_0_349,plain,
( k1_lopclset(X1) = X2
| v3_struct_0(X1)
| g3_lattices(k1_lopclset(X1),X3,k5_lopclset(X1)) != g3_lattices(X2,X4,X5)
| ~ m1_relset_1(X3,k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_343]),c_0_344]) ).
cnf(c_0_350,plain,
( m1_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_325,c_0_345]) ).
cnf(c_0_351,plain,
( v3_struct_0(X1)
| v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
i_0_266 ).
cnf(c_0_352,plain,
( v3_struct_0(X1)
| v1_funct_1(k4_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
i_0_267 ).
cnf(c_0_353,plain,
( u1_lattices(g3_lattices(X1,X2,X3)) = X3
| ~ v3_lattices(g3_lattices(X1,X2,X3))
| ~ l3_lattices(g3_lattices(X1,X2,X3)) ),
inference(er,[status(thm)],[c_0_346]) ).
cnf(c_0_354,plain,
( g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)) = k6_lopclset(X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
i_0_287 ).
cnf(c_0_355,plain,
( v3_struct_0(X1)
| l3_lattices(k6_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
i_0_271 ).
cnf(c_0_356,plain,
( v3_lattices(g3_lattices(k1_lopclset(X1),X2,k5_lopclset(X1)))
| v3_struct_0(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_342]),c_0_343]),c_0_344]) ).
cnf(c_0_357,plain,
( k4_lattices(X1,X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_254 ).
cnf(c_0_358,plain,
( k2_lattices(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)),X2,X3) = k3_lopclset(X1,X2,X3)
| v3_struct_0(X1)
| ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X3,u1_struct_0(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1))))
| ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)))) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_348])]) ).
cnf(c_0_359,plain,
( k3_lopclset(X1,X2,X2) = X2
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X3,k1_lopclset(X1))
| ~ m1_subset_1(X2,k1_lopclset(X1)) ),
i_0_246 ).
cnf(c_0_360,plain,
m1_subset_1(esk26_1(X1),X1),
i_0_251 ).
cnf(c_0_361,plain,
( k1_lopclset(X1) = X2
| v3_struct_0(X1)
| g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)) != g3_lattices(X2,X3,X4)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_351]),c_0_352]) ).
cnf(c_0_362,plain,
( u1_lattices(k6_lopclset(X1)) = k5_lopclset(X1)
| v3_struct_0(X1)
| ~ v3_lattices(k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_355]) ).
cnf(c_0_363,plain,
( v3_lattices(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_350]),c_0_351]),c_0_352]) ).
cnf(c_0_364,plain,
( k4_lattices(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)),X2,X3) = k3_lopclset(X1,X2,X3)
| v3_struct_0(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)))
| v3_struct_0(X1)
| ~ l1_lattices(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)))
| ~ v6_lattices(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)))
| ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X3,u1_struct_0(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1))))
| ~ m1_subset_1(X2,u1_struct_0(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)))) ),
inference(spm,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_365,plain,
( v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v3_struct_0(k6_lopclset(X1)) ),
i_0_273 ).
cnf(c_0_366,plain,
( v3_struct_0(X1)
| m2_subset_1(k3_lopclset(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X3,k1_lopclset(X1))
| ~ m1_subset_1(X2,k1_lopclset(X1)) ),
i_0_262 ).
cnf(c_0_367,plain,
( k3_lopclset(X1,X2,X2) = X2
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_lopclset(X1)) ),
inference(spm,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_368,plain,
( k1_lopclset(X1) = X2
| v3_struct_0(X1)
| k6_lopclset(X1) != g3_lattices(X2,X3,X4)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_361,c_0_354]) ).
cnf(c_0_369,plain,
( g3_lattices(u1_struct_0(k6_lopclset(X1)),u2_lattices(k6_lopclset(X1)),k5_lopclset(X1)) = k6_lopclset(X1)
| v3_struct_0(X1)
| ~ v3_lattices(k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_362]),c_0_355]) ).
cnf(c_0_370,plain,
( v3_lattices(k6_lopclset(X1))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_363,c_0_354]) ).
cnf(c_0_371,plain,
( k4_lattices(k6_lopclset(X1),X2,X3) = k3_lopclset(X1,X2,X3)
| v3_struct_0(X1)
| ~ l1_lattices(k6_lopclset(X1))
| ~ v6_lattices(k6_lopclset(X1))
| ~ m2_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X3,u1_struct_0(k6_lopclset(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_354]),c_0_365]) ).
cnf(c_0_372,plain,
( m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)),k1_lopclset(X2))
| v3_struct_0(X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2)
| ~ m1_subset_1(X1,k1_lopclset(X2)) ),
inference(spm,[status(thm)],[c_0_366,c_0_367]) ).
cnf(c_0_373,plain,
( k1_lopclset(X1) = u1_struct_0(k6_lopclset(X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| k6_lopclset(X1) != k6_lopclset(X2)
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X1)
| ~ v2_pre_topc(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_370]) ).
cnf(c_0_374,plain,
( k4_lattices(k6_lopclset(X1),X2,X3) = k3_lopclset(X1,X2,X3)
| v3_struct_0(X1)
| ~ l1_lattices(k6_lopclset(X1))
| ~ v6_lattices(k6_lopclset(X1))
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X3,u1_struct_0(k6_lopclset(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X1)))
| ~ m1_subset_1(X3,k1_lopclset(X1)) ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_375,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k6_lopclset(esk1_0))),
i_0_2 ).
cnf(c_0_376,plain,
( u1_struct_0(k6_lopclset(X1)) = k1_lopclset(X1)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(er,[status(thm)],[c_0_373]) ).
cnf(c_0_377,negated_conjecture,
l1_pre_topc(esk1_0),
i_0_4 ).
cnf(c_0_378,negated_conjecture,
v2_pre_topc(esk1_0),
i_0_5 ).
cnf(c_0_379,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_6 ).
cnf(c_0_380,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k6_lopclset(esk1_0))),
i_0_3 ).
cnf(c_0_381,negated_conjecture,
k4_lattices(k6_lopclset(esk1_0),esk2_0,esk3_0) != k3_xboole_0(esk2_0,esk3_0),
i_0_1 ).
cnf(c_0_382,plain,
( k4_lattices(k6_lopclset(X1),X2,X3) = k3_lopclset(X1,X2,X3)
| v3_struct_0(X1)
| ~ l1_lattices(k6_lopclset(X1))
| ~ v6_lattices(k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X3,u1_struct_0(k6_lopclset(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X1)))
| ~ m1_subset_1(X3,k1_lopclset(X1))
| ~ m1_subset_1(X2,k1_lopclset(X1)) ),
inference(spm,[status(thm)],[c_0_374,c_0_372]) ).
cnf(c_0_383,negated_conjecture,
m1_subset_1(esk3_0,k1_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_377]),c_0_378])]),c_0_379]) ).
cnf(c_0_384,negated_conjecture,
m1_subset_1(esk2_0,k1_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_376]),c_0_377]),c_0_378])]),c_0_379]) ).
cnf(c_0_385,negated_conjecture,
( k3_lopclset(esk1_0,esk2_0,esk3_0) != k3_xboole_0(esk2_0,esk3_0)
| ~ l1_lattices(k6_lopclset(esk1_0))
| ~ v6_lattices(k6_lopclset(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_381,c_0_382]),c_0_377]),c_0_378]),c_0_375]),c_0_380]),c_0_383]),c_0_384])]),c_0_379]) ).
cnf(c_0_386,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_206 ).
cnf(c_0_387,plain,
( v3_struct_0(k6_lopclset(esk1_0))
| k3_lopclset(esk1_0,esk2_0,esk3_0) != k3_xboole_0(esk2_0,esk3_0)
| ~ v10_lattices(k6_lopclset(esk1_0))
| ~ l3_lattices(k6_lopclset(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_339]) ).
cnf(c_0_388,plain,
( v3_struct_0(X1)
| v10_lattices(k6_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
i_0_272 ).
cnf(c_0_389,plain,
( v3_struct_0(k6_lopclset(esk1_0))
| k3_lopclset(esk1_0,esk2_0,esk3_0) != k3_xboole_0(esk2_0,esk3_0)
| ~ l3_lattices(k6_lopclset(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_377]),c_0_378])]),c_0_379]) ).
cnf(c_0_390,plain,
( v3_struct_0(k6_lopclset(esk1_0))
| k3_lopclset(esk1_0,esk2_0,esk3_0) != k3_xboole_0(esk2_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_389,c_0_355]),c_0_377]),c_0_378])]),c_0_379]) ).
cnf(c_0_391,plain,
( k3_lopclset(X1,X2,X3) = k3_xboole_0(X2,X3)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X3,k1_lopclset(X1))
| ~ m1_subset_1(X2,k1_lopclset(X1)) ),
i_0_253 ).
cnf(c_0_392,plain,
v3_struct_0(k6_lopclset(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(spm,[status(thm)],[c_0_390,c_0_391]),c_0_377]),c_0_378]),c_0_383]),c_0_384])]),c_0_379]) ).
cnf(c_0_393,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_392]),c_0_377]),c_0_378])]),c_0_379]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : LAT284+1 : TPTP v8.1.0. Released v3.4.0.
% 0.05/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 29 22:44:54 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.44 # ENIGMATIC: Selected complete mode:
% 70.00/10.12 # ENIGMATIC: Solved by autoschedule-lgb:
% 70.00/10.12 # No SInE strategy applied
% 70.00/10.12 # Trying AutoSched0 for 150 seconds
% 70.00/10.12 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 70.00/10.12 # and selection function SelectMaxLComplexAvoidPosPred.
% 70.00/10.12 #
% 70.00/10.12 # Preprocessing time : 0.027 s
% 70.00/10.12
% 70.00/10.12 # Proof found!
% 70.00/10.12 # SZS status Theorem
% 70.00/10.12 # SZS output start CNFRefutation
% See solution above
% 70.00/10.12 # Training examples: 0 positive, 0 negative
% 70.00/10.12
% 70.00/10.12 # -------------------------------------------------
% 70.00/10.12 # User time : 7.586 s
% 70.00/10.12 # System time : 0.194 s
% 70.00/10.12 # Total time : 7.780 s
% 70.00/10.12 # Maximum resident set size: 7128 pages
% 70.00/10.12
%------------------------------------------------------------------------------