TSTP Solution File: LAT283+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT283+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 04:28:48 EDT 2022
% Result : Theorem 11.08s 2.84s
% Output : CNFRefutation 11.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 40
% Syntax : Number of clauses : 114 ( 19 unt; 54 nHn; 112 RR)
% Number of literals : 452 ( 55 equ; 290 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% Number of variables : 184 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_272,plain,
( k1_lattices(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)),X2,X3) = k2_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/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_272) ).
cnf(i_0_271,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/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_271) ).
cnf(i_0_230,plain,
( k2_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/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_230) ).
cnf(i_0_235,plain,
m1_subset_1(esk26_1(X1),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_235) ).
cnf(i_0_167,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_167) ).
cnf(i_0_176,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-rledxj58/lgb.p',i_0_176) ).
cnf(i_0_239,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| m2_subset_1(X3,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_239) ).
cnf(i_0_265,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_265) ).
cnf(i_0_244,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_pre_topc(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_244) ).
cnf(i_0_266,plain,
( v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v1_xboole_0(k1_lopclset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_266) ).
cnf(i_0_246,plain,
( v3_struct_0(X1)
| m2_subset_1(k2_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/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_246) ).
cnf(i_0_226,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-rledxj58/lgb.p',i_0_226) ).
cnf(i_0_177,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-rledxj58/lgb.p',i_0_177) ).
cnf(i_0_178,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_178) ).
cnf(i_0_52,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-rledxj58/lgb.p',i_0_52) ).
cnf(i_0_53,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-rledxj58/lgb.p',i_0_53) ).
cnf(i_0_54,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_54) ).
cnf(i_0_238,plain,
( k3_lattices(X1,X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_238) ).
cnf(i_0_257,plain,
( v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v3_struct_0(k6_lopclset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_257) ).
cnf(i_0_252,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/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_252) ).
cnf(i_0_159,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_159) ).
cnf(i_0_172,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_172) ).
cnf(i_0_173,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_173) ).
cnf(i_0_1,negated_conjecture,
k3_lattices(k6_lopclset(esk1_0),esk2_0,esk3_0) != k2_xboole_0(esk2_0,esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_1) ).
cnf(i_0_4,negated_conjecture,
l1_pre_topc(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v2_pre_topc(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_5) ).
cnf(i_0_2,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k6_lopclset(esk1_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k6_lopclset(esk1_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_3) ).
cnf(i_0_6,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_6) ).
cnf(i_0_228,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-rledxj58/lgb.p',i_0_228) ).
cnf(i_0_253,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/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_253) ).
cnf(i_0_254,plain,
( v3_struct_0(X1)
| v1_funct_1(k5_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_254) ).
cnf(i_0_249,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/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_249) ).
cnf(i_0_242,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/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_242) ).
cnf(i_0_192,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_192) ).
cnf(i_0_250,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/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_250) ).
cnf(i_0_251,plain,
( v3_struct_0(X1)
| v1_funct_1(k4_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_251) ).
cnf(i_0_255,plain,
( v3_struct_0(X1)
| l3_lattices(k6_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_255) ).
cnf(i_0_256,plain,
( v3_struct_0(X1)
| v10_lattices(k6_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_256) ).
cnf(i_0_237,plain,
( k2_lopclset(X1,X2,X3) = k2_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/sandbox2/tmp/enigma-theBenchmark.p-rledxj58/lgb.p',i_0_237) ).
cnf(c_0_313,plain,
( k1_lattices(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)),X2,X3) = k2_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_272 ).
cnf(c_0_314,plain,
( k1_lattices(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)),X2,X3) = k2_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_313])]) ).
cnf(c_0_315,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_271 ).
cnf(c_0_316,plain,
( k2_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_230 ).
cnf(c_0_317,plain,
m1_subset_1(esk26_1(X1),X1),
i_0_235 ).
cnf(c_0_318,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_167 ).
cnf(c_0_319,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_176 ).
cnf(c_0_320,plain,
( k1_lattices(k6_lopclset(X1),X2,X3) = k2_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(k6_lopclset(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X1))) ),
inference(spm,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_321,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| m2_subset_1(X3,X1,X2)
| ~ m1_subset_1(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_239 ).
cnf(c_0_322,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
i_0_265 ).
cnf(c_0_323,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_pre_topc(X1) ),
i_0_244 ).
cnf(c_0_324,plain,
( v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v1_xboole_0(k1_lopclset(X1)) ),
i_0_266 ).
cnf(c_0_325,plain,
( v3_struct_0(X1)
| m2_subset_1(k2_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_246 ).
cnf(c_0_326,plain,
( k2_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_316,c_0_317]) ).
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_226 ).
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_318,c_0_319]) ).
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_177 ).
cnf(c_0_330,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
i_0_178 ).
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_52 ).
cnf(c_0_332,plain,
( k1_lattices(k6_lopclset(X1),X2,X3) = k2_lopclset(X1,X2,X3)
| v3_struct_0(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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_322]),c_0_323]),c_0_324]) ).
cnf(c_0_333,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_325,c_0_326]) ).
cnf(c_0_334,plain,
( X1 = X2
| g3_lattices(u1_struct_0(X3),u2_lattices(X3),X1) != g3_lattices(X4,X5,X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ l2_lattices(X3)
| ~ 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_335,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_318,c_0_331]) ).
cnf(c_0_336,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_53 ).
cnf(c_0_337,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
i_0_54 ).
cnf(c_0_338,plain,
( k3_lattices(X1,X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_238 ).
cnf(c_0_339,plain,
( k1_lattices(k6_lopclset(X1),X2,X3) = k2_lopclset(X1,X2,X3)
| v3_struct_0(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_332,c_0_333]) ).
cnf(c_0_340,plain,
( v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v3_struct_0(k6_lopclset(X1)) ),
i_0_257 ).
cnf(c_0_341,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_252 ).
cnf(c_0_342,plain,
( u1_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X4,X2)
| ~ l1_lattices(X1)
| ~ l2_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_336]),c_0_337]) ).
cnf(c_0_343,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
i_0_159 ).
cnf(c_0_344,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_172 ).
cnf(c_0_345,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_173 ).
cnf(c_0_346,negated_conjecture,
k3_lattices(k6_lopclset(esk1_0),esk2_0,esk3_0) != k2_xboole_0(esk2_0,esk3_0),
i_0_1 ).
cnf(c_0_347,plain,
( k3_lattices(k6_lopclset(X1),X2,X3) = k2_lopclset(X1,X2,X3)
| v3_struct_0(X1)
| ~ l2_lattices(k6_lopclset(X1))
| ~ v4_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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_340]) ).
cnf(c_0_348,negated_conjecture,
l1_pre_topc(esk1_0),
i_0_4 ).
cnf(c_0_349,negated_conjecture,
v2_pre_topc(esk1_0),
i_0_5 ).
cnf(c_0_350,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k6_lopclset(esk1_0))),
i_0_2 ).
cnf(c_0_351,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k6_lopclset(esk1_0))),
i_0_3 ).
cnf(c_0_352,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_6 ).
cnf(c_0_353,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_228 ).
cnf(c_0_354,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_318,c_0_341]) ).
cnf(c_0_355,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_253 ).
cnf(c_0_356,plain,
( v3_struct_0(X1)
| v1_funct_1(k5_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
i_0_254 ).
cnf(c_0_357,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_249 ).
cnf(c_0_358,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_342,c_0_343]),c_0_344]),c_0_345]) ).
cnf(c_0_359,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_242 ).
cnf(c_0_360,negated_conjecture,
( k2_lopclset(esk1_0,esk2_0,esk3_0) != k2_xboole_0(esk2_0,esk3_0)
| ~ l2_lattices(k6_lopclset(esk1_0))
| ~ v4_lattices(k6_lopclset(esk1_0))
| ~ m1_subset_1(esk3_0,k1_lopclset(esk1_0))
| ~ 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_348]),c_0_349]),c_0_350]),c_0_351])]),c_0_352]) ).
cnf(c_0_361,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_192 ).
cnf(c_0_362,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_353,c_0_354]),c_0_355]),c_0_356]) ).
cnf(c_0_363,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_318,c_0_357]) ).
cnf(c_0_364,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_250 ).
cnf(c_0_365,plain,
( v3_struct_0(X1)
| v1_funct_1(k4_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
i_0_251 ).
cnf(c_0_366,plain,
( u1_lattices(X1) = k5_lopclset(X2)
| v3_struct_0(X2)
| X1 != k6_lopclset(X2)
| ~ v3_lattices(X1)
| ~ l3_lattices(X1)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_358,c_0_315]) ).
cnf(c_0_367,plain,
( v3_struct_0(X1)
| l3_lattices(k6_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
i_0_255 ).
cnf(c_0_368,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_359,c_0_354]),c_0_355]),c_0_356]) ).
cnf(c_0_369,plain,
( v3_struct_0(k6_lopclset(esk1_0))
| k2_lopclset(esk1_0,esk2_0,esk3_0) != k2_xboole_0(esk2_0,esk3_0)
| ~ v10_lattices(k6_lopclset(esk1_0))
| ~ l3_lattices(k6_lopclset(esk1_0))
| ~ m1_subset_1(esk3_0,k1_lopclset(esk1_0))
| ~ m1_subset_1(esk2_0,k1_lopclset(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_344]) ).
cnf(c_0_370,plain,
( v3_struct_0(X1)
| v10_lattices(k6_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
i_0_256 ).
cnf(c_0_371,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_362,c_0_363]),c_0_364]),c_0_365]) ).
cnf(c_0_372,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(er,[status(thm)],[c_0_366]),c_0_367]) ).
cnf(c_0_373,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_368,c_0_363]),c_0_364]),c_0_365]) ).
cnf(c_0_374,plain,
( v3_struct_0(k6_lopclset(esk1_0))
| k2_lopclset(esk1_0,esk2_0,esk3_0) != k2_xboole_0(esk2_0,esk3_0)
| ~ l3_lattices(k6_lopclset(esk1_0))
| ~ m1_subset_1(esk3_0,k1_lopclset(esk1_0))
| ~ 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_369,c_0_370]),c_0_348]),c_0_349])]),c_0_352]) ).
cnf(c_0_375,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_371,c_0_315]) ).
cnf(c_0_376,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_343,c_0_372]),c_0_367]) ).
cnf(c_0_377,plain,
( v3_lattices(k6_lopclset(X1))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_373,c_0_315]) ).
cnf(c_0_378,plain,
( v3_struct_0(k6_lopclset(esk1_0))
| k2_lopclset(esk1_0,esk2_0,esk3_0) != k2_xboole_0(esk2_0,esk3_0)
| ~ m1_subset_1(esk3_0,k1_lopclset(esk1_0))
| ~ 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_374,c_0_367]),c_0_348]),c_0_349])]),c_0_352]) ).
cnf(c_0_379,plain,
( k2_lopclset(X1,X2,X3) = k2_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_237 ).
cnf(c_0_380,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_375,c_0_376]),c_0_377]) ).
cnf(c_0_381,plain,
( v3_struct_0(k6_lopclset(esk1_0))
| ~ m1_subset_1(esk3_0,k1_lopclset(esk1_0))
| ~ 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_378,c_0_379]),c_0_348]),c_0_349])]),c_0_352]) ).
cnf(c_0_382,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_380]) ).
cnf(c_0_383,plain,
( ~ m1_subset_1(esk3_0,k1_lopclset(esk1_0))
| ~ 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_340,c_0_381]),c_0_348]),c_0_349])]),c_0_352]) ).
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_351,c_0_382]),c_0_348]),c_0_349])]),c_0_352]) ).
cnf(c_0_385,plain,
~ m1_subset_1(esk3_0,k1_lopclset(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_383,c_0_384])]) ).
cnf(c_0_386,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_382]),c_0_348]),c_0_349])]),c_0_352]),c_0_385]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT283+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 : n013.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 : Thu Jun 30 15:37:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 11.08/2.84 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.08/2.84 # No SInE strategy applied
% 11.08/2.84 # Trying AutoSched0 for 150 seconds
% 11.08/2.84 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 11.08/2.84 # and selection function SelectMaxLComplexAvoidPosPred.
% 11.08/2.84 #
% 11.08/2.84 # Preprocessing time : 0.027 s
% 11.08/2.84
% 11.08/2.84 # Proof found!
% 11.08/2.84 # SZS status Theorem
% 11.08/2.84 # SZS output start CNFRefutation
% See solution above
% 11.08/2.84 # Training examples: 0 positive, 0 negative
% 11.08/2.84
% 11.08/2.84 # -------------------------------------------------
% 11.08/2.84 # User time : 0.383 s
% 11.08/2.84 # System time : 0.012 s
% 11.08/2.84 # Total time : 0.395 s
% 11.08/2.84 # Maximum resident set size: 7120 pages
% 11.08/2.84
%------------------------------------------------------------------------------