TSTP Solution File: LAT308+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT308+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 04:29:18 EDT 2022
% Result : Theorem 34.91s 5.70s
% Output : CNFRefutation 34.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 39
% Syntax : Number of clauses : 113 ( 16 unt; 53 nHn; 113 RR)
% Number of literals : 456 ( 89 equ; 295 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-6 aty)
% Number of variables : 216 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_189,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_189) ).
cnf(i_0_72,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-8oblngsi/input.p',i_0_72) ).
cnf(i_0_142,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-8oblngsi/input.p',i_0_142) ).
cnf(i_0_74,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_74) ).
cnf(i_0_73,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-8oblngsi/input.p',i_0_73) ).
cnf(i_0_76,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-8oblngsi/input.p',i_0_76) ).
cnf(i_0_78,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_78) ).
cnf(i_0_77,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-8oblngsi/input.p',i_0_77) ).
cnf(i_0_140,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-8oblngsi/input.p',i_0_140) ).
cnf(i_0_199,plain,
( k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_199) ).
cnf(i_0_33,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/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_33) ).
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/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_8) ).
cnf(i_0_60,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_60) ).
cnf(i_0_61,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_61) ).
cnf(i_0_30,plain,
( g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) = k1_lattice2(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_30) ).
cnf(i_0_183,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_183) ).
cnf(i_0_41,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_41) ).
cnf(i_0_42,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_42) ).
cnf(i_0_195,plain,
( k4_lattices(X1,X2,X3) = X2
| v3_struct_0(X1)
| k2_filter_0(X1,X2) != u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_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-8oblngsi/input.p',i_0_195) ).
cnf(i_0_31,plain,
( k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ l1_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-8oblngsi/input.p',i_0_31) ).
cnf(i_0_27,plain,
( k4_lattices(X1,X2,X3) = k4_lattices(X1,X3,X2)
| 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/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_27) ).
cnf(i_0_14,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_14) ).
cnf(i_0_32,plain,
( k2_filter_0(X1,X2) = a_2_0_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_32) ).
cnf(i_0_29,plain,
( k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(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-8oblngsi/input.p',i_0_29) ).
cnf(i_0_91,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_91) ).
cnf(i_0_200,plain,
( k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_200) ).
cnf(i_0_185,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/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_185) ).
cnf(i_0_123,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_123) ).
cnf(i_0_56,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/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_56) ).
cnf(i_0_184,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-8oblngsi/input.p',i_0_184) ).
cnf(i_0_16,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_16) ).
cnf(i_0_26,plain,
( k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2)
| 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-8oblngsi/input.p',i_0_26) ).
cnf(i_0_2,negated_conjecture,
k3_lattices(esk1_0,esk2_0,esk3_0) != esk2_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_2) ).
cnf(i_0_1,negated_conjecture,
k18_filter_2(esk1_0,esk2_0) = u1_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_1) ).
cnf(i_0_4,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_4) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_3) ).
cnf(i_0_5,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8oblngsi/input.p',i_0_7) ).
cnf(c_0_240,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_189 ).
cnf(c_0_241,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_72 ).
cnf(c_0_242,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_142 ).
cnf(c_0_243,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_240,c_0_241]) ).
cnf(c_0_244,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
i_0_74 ).
cnf(c_0_245,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_73 ).
cnf(c_0_246,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_76 ).
cnf(c_0_247,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_242,c_0_243]),c_0_244]),c_0_245]) ).
cnf(c_0_248,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_240,c_0_246]) ).
cnf(c_0_249,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
i_0_78 ).
cnf(c_0_250,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_77 ).
cnf(c_0_251,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_140 ).
cnf(c_0_252,plain,
( k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_199 ).
cnf(c_0_253,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_33 ).
cnf(c_0_254,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ l1_lattices(X1)
| ~ l2_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249]),c_0_250]) ).
cnf(c_0_255,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_256,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_60 ).
cnf(c_0_257,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_61 ).
cnf(c_0_258,plain,
( X1 = X2
| g3_lattices(u1_struct_0(X3),u1_lattices(X3),X1) != g3_lattices(X4,X5,X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ l1_lattices(X3)
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_243]),c_0_244]),c_0_245]) ).
cnf(c_0_259,plain,
( k18_filter_2(k1_lattice2(X1),X2) = k2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_260,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_254,c_0_255]),c_0_256]),c_0_257]) ).
cnf(c_0_261,plain,
( g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) = k1_lattice2(X1)
| ~ l3_lattices(X1) ),
i_0_30 ).
cnf(c_0_262,plain,
( u2_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_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_258,c_0_248]),c_0_249]),c_0_250]) ).
cnf(c_0_263,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_183 ).
cnf(c_0_264,plain,
( k2_filter_2(X1,k5_filter_2(X1,X2)) = k2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_252,c_0_259]) ).
cnf(c_0_265,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_260,c_0_261]) ).
cnf(c_0_266,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_41 ).
cnf(c_0_267,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_42 ).
cnf(c_0_268,plain,
( u2_lattices(X1) = X2
| k1_lattice2(X1) != g3_lattices(X3,X4,X2)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_261]),c_0_256]),c_0_257]) ).
cnf(c_0_269,plain,
( k4_lattices(X1,X2,X3) = X2
| v3_struct_0(X1)
| k2_filter_0(X1,X2) != u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_195 ).
cnf(c_0_270,plain,
( k2_filter_0(X1,k5_filter_2(X1,X2)) = k2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_271,plain,
( k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_31 ).
cnf(c_0_272,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_265]),c_0_266]),c_0_267]) ).
cnf(c_0_273,plain,
( u2_lattices(X1) = u1_lattices(X2)
| k1_lattice2(X1) != X2
| ~ v3_lattices(X2)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2) ),
inference(spm,[status(thm)],[c_0_268,c_0_255]) ).
cnf(c_0_274,plain,
( k4_lattices(X1,X2,X3) = k4_lattices(X1,X3,X2)
| 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_27 ).
cnf(c_0_275,plain,
( k4_lattices(X1,k5_filter_2(X1,X2),X3) = k5_filter_2(X1,X2)
| v3_struct_0(X1)
| k2_filter_2(X1,X2) != u1_struct_0(X1)
| ~ m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_276,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_14 ).
cnf(c_0_277,plain,
( k2_filter_0(X1,X2) = a_2_0_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_32 ).
cnf(c_0_278,plain,
( k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(k1_lattice2(X1)),X2,X3) = k2_lattices(k1_lattice2(X1),X2,X3)
| v3_struct_0(k1_lattice2(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_279,plain,
( u1_lattices(k1_lattice2(X1)) = u2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_273]),c_0_266]),c_0_267]) ).
cnf(c_0_280,plain,
( k4_lattices(X1,X2,k5_filter_2(X1,X3)) = k5_filter_2(X1,X3)
| v3_struct_0(X1)
| k2_filter_2(X1,X3) != u1_struct_0(X1)
| ~ m1_subset_1(k5_filter_2(X1,X3),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_276]),c_0_257]) ).
cnf(c_0_281,plain,
( a_2_0_filter_0(X1,k5_filter_2(X1,X2)) = k2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_277,c_0_270]) ).
cnf(c_0_282,plain,
( k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_29 ).
cnf(c_0_283,plain,
( k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) = k2_lattices(k1_lattice2(X1),X2,X3)
| v3_struct_0(k1_lattice2(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_284,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_91 ).
cnf(c_0_285,plain,
( k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_200 ).
cnf(c_0_286,plain,
( k4_lattices(X1,X2,X3) = X3
| v3_struct_0(X1)
| k2_filter_2(X1,X3) != u1_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_280,c_0_253]) ).
cnf(c_0_287,plain,
( k2_filter_2(X1,X2) = a_2_0_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_281,c_0_253]) ).
cnf(c_0_288,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_185 ).
cnf(c_0_289,plain,
( k2_lattices(k1_lattice2(X1),X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_256]),c_0_284]) ).
cnf(c_0_290,plain,
( k2_filter_2(k1_lattice2(X1),X2) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_285,c_0_253]) ).
cnf(c_0_291,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_123 ).
cnf(c_0_292,plain,
( k4_lattices(X1,X2,X3) = X3
| v3_struct_0(X1)
| a_2_0_filter_0(X1,X3) != u1_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_293,plain,
( k4_lattices(k1_lattice2(X1),X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(k1_lattice2(X1))
| ~ v6_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_284]) ).
cnf(c_0_294,plain,
( k2_filter_0(k1_lattice2(X1),X2) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X2,u1_struct_0(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_263,c_0_290]),c_0_291]),c_0_266]),c_0_284]) ).
cnf(c_0_295,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_56 ).
cnf(c_0_296,plain,
( k1_lattices(X1,X2,X3) = X3
| v3_struct_0(X1)
| a_2_0_filter_0(k1_lattice2(X1),X3) != u1_struct_0(k1_lattice2(X1))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(k1_lattice2(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_276]),c_0_257]),c_0_266]),c_0_284]) ).
cnf(c_0_297,plain,
( a_2_0_filter_0(k1_lattice2(X1),X2) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X2,u1_struct_0(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_277,c_0_294]),c_0_291]),c_0_266]),c_0_284]) ).
cnf(c_0_298,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_295,c_0_253]) ).
cnf(c_0_299,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_184 ).
cnf(c_0_300,plain,
( k1_lattices(X1,X2,X3) = X3
| v3_struct_0(X1)
| k18_filter_2(X1,X3) != u1_struct_0(k1_lattice2(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(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_296,c_0_297]),c_0_291]),c_0_298]),c_0_298]) ).
cnf(c_0_301,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_16 ).
cnf(c_0_302,plain,
( k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2)
| 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_26 ).
cnf(c_0_303,plain,
( k3_lattices(X1,X2,X3) = X3
| v3_struct_0(X1)
| k18_filter_2(X1,X3) != u1_struct_0(k1_lattice2(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_301]),c_0_256]) ).
cnf(c_0_304,negated_conjecture,
k3_lattices(esk1_0,esk2_0,esk3_0) != esk2_0,
i_0_2 ).
cnf(c_0_305,plain,
( k3_lattices(X1,X2,X3) = X2
| v3_struct_0(X1)
| k18_filter_2(X1,X2) != u1_struct_0(k1_lattice2(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_301]),c_0_256]) ).
cnf(c_0_306,negated_conjecture,
k18_filter_2(esk1_0,esk2_0) = u1_struct_0(esk1_0),
i_0_1 ).
cnf(c_0_307,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
i_0_4 ).
cnf(c_0_308,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
i_0_3 ).
cnf(c_0_309,negated_conjecture,
l3_lattices(esk1_0),
i_0_5 ).
cnf(c_0_310,negated_conjecture,
v10_lattices(esk1_0),
i_0_6 ).
cnf(c_0_311,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_7 ).
cnf(c_0_312,negated_conjecture,
u1_struct_0(k1_lattice2(esk1_0)) != u1_struct_0(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(spm,[status(thm)],[c_0_304,c_0_305]),c_0_306]),c_0_307]),c_0_308]),c_0_309]),c_0_310])]),c_0_311]) ).
cnf(c_0_313,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_272]),c_0_309])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT308+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 30 08:34:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 34.91/5.70 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 34.91/5.70 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 48; version: 991; iters: 150)
% 34.91/5.70 # Preprocessing time : 1.170 s
% 34.91/5.70
% 34.91/5.70 # Proof found!
% 34.91/5.70 # SZS status Theorem
% 34.91/5.70 # SZS output start CNFRefutation
% See solution above
% 34.91/5.70 # Training examples: 0 positive, 0 negative
% 34.91/5.70
% 34.91/5.70 # -------------------------------------------------
% 34.91/5.70 # User time : 3.266 s
% 34.91/5.70 # System time : 0.152 s
% 34.91/5.70 # Total time : 3.418 s
% 34.91/5.70 # ...preprocessing : 1.170 s
% 34.91/5.70 # ...main loop : 2.248 s
% 34.91/5.70 # Maximum resident set size: 176332 pages
% 34.91/5.70
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