TSTP Solution File: LAT307+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT307+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 04:29:17 EDT 2022
% Result : Theorem 14.33s 3.24s
% Output : CNFRefutation 14.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 38
% Syntax : Number of clauses : 102 ( 14 unt; 47 nHn; 102 RR)
% Number of literals : 381 ( 43 equ; 230 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 145 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_56,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-20gyjjro/input.p',i_0_56) ).
cnf(i_0_54,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-20gyjjro/input.p',i_0_54) ).
cnf(i_0_167,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-20gyjjro/input.p',i_0_167) ).
cnf(i_0_30,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-20gyjjro/input.p',i_0_30) ).
cnf(i_0_178,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-20gyjjro/input.p',i_0_178) ).
cnf(i_0_174,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| v1_filter_0(esk28_2(X2,X1),X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_filter_0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_174) ).
cnf(i_0_106,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_106) ).
cnf(i_0_36,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_36) ).
cnf(i_0_78,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_78) ).
cnf(i_0_34,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-20gyjjro/input.p',i_0_34) ).
cnf(i_0_166,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-20gyjjro/input.p',i_0_166) ).
cnf(i_0_31,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-20gyjjro/input.p',i_0_31) ).
cnf(i_0_48,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-20gyjjro/input.p',i_0_48) ).
cnf(i_0_1,negated_conjecture,
( ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(esk2_0,X1)
| ~ r2_filter_2(esk1_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_1) ).
cnf(i_0_5,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_7) ).
cnf(i_0_171,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_171) ).
cnf(i_0_58,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-20gyjjro/input.p',i_0_58) ).
cnf(i_0_175,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| r1_tarski(X1,esk28_2(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_filter_0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_175) ).
cnf(i_0_176,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| m1_filter_0(esk28_2(X2,X1),X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_filter_0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_176) ).
cnf(i_0_117,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-20gyjjro/input.p',i_0_117) ).
cnf(i_0_60,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_60) ).
cnf(i_0_59,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-20gyjjro/input.p',i_0_59) ).
cnf(i_0_62,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-20gyjjro/input.p',i_0_62) ).
cnf(i_0_169,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_169) ).
cnf(i_0_35,plain,
( v3_struct_0(X1)
| m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_35) ).
cnf(i_0_64,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_64) ).
cnf(i_0_63,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-20gyjjro/input.p',i_0_63) ).
cnf(i_0_185,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-20gyjjro/input.p',i_0_185) ).
cnf(i_0_4,negated_conjecture,
v14_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_4) ).
cnf(i_0_8,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-20gyjjro/input.p',i_0_8) ).
cnf(i_0_47,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_47) ).
cnf(i_0_46,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_46) ).
cnf(i_0_3,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_3) ).
cnf(i_0_29,plain,
( g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) = k1_lattice2(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_29) ).
cnf(i_0_37,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_37) ).
cnf(i_0_2,negated_conjecture,
u1_struct_0(esk1_0) != esk2_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-20gyjjro/input.p',i_0_2) ).
cnf(c_0_224,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_56 ).
cnf(c_0_225,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_54 ).
cnf(c_0_226,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_167 ).
cnf(c_0_227,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_30 ).
cnf(c_0_228,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_229,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_178 ).
cnf(c_0_230,plain,
( k15_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]) ).
cnf(c_0_231,plain,
( r2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v1_filter_0(X2,k1_lattice2(X1))
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_232,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| v1_filter_0(esk28_2(X2,X1),X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_filter_0(X1,X2) ),
i_0_174 ).
cnf(c_0_233,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_106 ).
cnf(c_0_234,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_36 ).
cnf(c_0_235,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_78 ).
cnf(c_0_236,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_34 ).
cnf(c_0_237,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_166 ).
cnf(c_0_238,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_31 ).
cnf(c_0_239,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_48 ).
cnf(c_0_240,negated_conjecture,
( ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(esk2_0,X1)
| ~ r2_filter_2(esk1_0,X1) ),
i_0_1 ).
cnf(c_0_241,plain,
( X1 = u1_struct_0(k1_lattice2(X2))
| r2_filter_2(X2,esk28_2(k1_lattice2(X2),X1))
| v3_struct_0(X2)
| ~ m1_filter_0(X1,k1_lattice2(X2))
| ~ m2_filter_2(esk28_2(k1_lattice2(X2),X1),X2)
| ~ v13_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]),c_0_234]),c_0_235]) ).
cnf(c_0_242,negated_conjecture,
l3_lattices(esk1_0),
i_0_5 ).
cnf(c_0_243,negated_conjecture,
v10_lattices(esk1_0),
i_0_6 ).
cnf(c_0_244,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_7 ).
cnf(c_0_245,plain,
( v3_struct_0(X1)
| m2_filter_2(k8_filter_2(X1,X2),X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_246,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_238,c_0_239]),c_0_233]),c_0_234]),c_0_235]) ).
cnf(c_0_247,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_171 ).
cnf(c_0_248,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_58 ).
cnf(c_0_249,negated_conjecture,
( X1 = u1_struct_0(k1_lattice2(esk1_0))
| ~ m1_filter_0(X1,k1_lattice2(esk1_0))
| ~ r1_tarski(esk2_0,esk28_2(k1_lattice2(esk1_0),X1))
| ~ m2_filter_2(esk28_2(k1_lattice2(esk1_0),X1),esk1_0)
| ~ 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_242]),c_0_243])]),c_0_244]) ).
cnf(c_0_250,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| r1_tarski(X1,esk28_2(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_filter_0(X1,X2) ),
i_0_175 ).
cnf(c_0_251,plain,
( v3_struct_0(X1)
| m2_filter_2(X2,X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_252,plain,
( X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| m1_filter_0(esk28_2(X2,X1),X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_filter_0(X1,X2) ),
i_0_176 ).
cnf(c_0_253,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_117 ).
cnf(c_0_254,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_247,c_0_248]) ).
cnf(c_0_255,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
i_0_60 ).
cnf(c_0_256,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_59 ).
cnf(c_0_257,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_62 ).
cnf(c_0_258,plain,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ m2_filter_2(esk28_2(k1_lattice2(esk1_0),esk2_0),esk1_0)
| ~ v13_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_259,plain,
( X1 = u1_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| m2_filter_2(esk28_2(k1_lattice2(X2),X1),X2)
| ~ m1_filter_0(X1,k1_lattice2(X2))
| ~ v13_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_233]),c_0_234]),c_0_235]) ).
cnf(c_0_260,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
i_0_169 ).
cnf(c_0_261,plain,
( v3_struct_0(X1)
| m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_35 ).
cnf(c_0_262,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),X3,u1_lattices(X1)) != g3_lattices(X2,X4,X5)
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255]),c_0_256]) ).
cnf(c_0_263,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_247,c_0_257]) ).
cnf(c_0_264,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
i_0_64 ).
cnf(c_0_265,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_63 ).
cnf(c_0_266,plain,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ v13_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_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_258,c_0_259]),c_0_242]),c_0_243])]),c_0_244]) ).
cnf(c_0_267,plain,
( v3_struct_0(X1)
| v13_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1) ),
i_0_185 ).
cnf(c_0_268,negated_conjecture,
v14_lattices(esk1_0),
i_0_4 ).
cnf(c_0_269,plain,
( m1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,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_260,c_0_261]),c_0_233]),c_0_234]),c_0_235]) ).
cnf(c_0_270,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_264]),c_0_265]) ).
cnf(c_0_271,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
i_0_8 ).
cnf(c_0_272,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_47 ).
cnf(c_0_273,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_46 ).
cnf(c_0_274,plain,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_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_266,c_0_267]),c_0_268]),c_0_242]),c_0_243])]),c_0_244]) ).
cnf(c_0_275,plain,
( m1_filter_0(X1,k1_lattice2(X2))
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_269,c_0_230]) ).
cnf(c_0_276,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
i_0_3 ).
cnf(c_0_277,plain,
( u1_struct_0(X1) = X2
| X1 != g3_lattices(X2,X3,X4)
| ~ v3_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272]),c_0_273]) ).
cnf(c_0_278,plain,
( g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) = k1_lattice2(X1)
| ~ l3_lattices(X1) ),
i_0_29 ).
cnf(c_0_279,plain,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_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_274,c_0_275]),c_0_276]),c_0_242]),c_0_243])]),c_0_244]) ).
cnf(c_0_280,plain,
( u1_struct_0(X1) = u1_struct_0(X2)
| X1 != k1_lattice2(X2)
| ~ v3_lattices(X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2) ),
inference(spm,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_281,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_37 ).
cnf(c_0_282,plain,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(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_279,c_0_233]),c_0_242]),c_0_243])]),c_0_244]) ).
cnf(c_0_283,plain,
( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_280]),c_0_234]),c_0_281]) ).
cnf(c_0_284,negated_conjecture,
u1_struct_0(esk1_0) != esk2_0,
i_0_2 ).
cnf(c_0_285,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_242])]),c_0_284]) ).
cnf(c_0_286,plain,
v3_struct_0(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_234]),c_0_242])]) ).
cnf(c_0_287,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_286]),c_0_242])]),c_0_244]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT307+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 28 22:28:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 14.33/3.24 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.33/3.24 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 46; version: 991; iters: 150)
% 14.33/3.24 # Preprocessing time : 0.865 s
% 14.33/3.24
% 14.33/3.24 # Proof found!
% 14.33/3.24 # SZS status Theorem
% 14.33/3.24 # SZS output start CNFRefutation
% See solution above
% 14.33/3.24 # Training examples: 0 positive, 0 negative
% 14.33/3.24
% 14.33/3.24 # -------------------------------------------------
% 14.33/3.24 # User time : 0.823 s
% 14.33/3.24 # System time : 0.112 s
% 14.33/3.24 # Total time : 0.935 s
% 14.33/3.24 # ...preprocessing : 0.865 s
% 14.33/3.24 # ...main loop : 0.070 s
% 14.33/3.24 # Maximum resident set size: 167880 pages
% 14.33/3.24
%------------------------------------------------------------------------------