%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT326+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 04:29:40 EDT 2022
% Result : Theorem 8.38s 2.31s
% Output : CNFRefutation 8.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 38
% Syntax : Number of clauses : 116 ( 48 unt; 44 nHn; 116 RR)
% Number of literals : 396 ( 12 equ; 233 neg)
% Maximal clause size : 19 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_39,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_39) ).
cnf(i_0_12,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_12) ).
cnf(i_0_40,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_40) ).
cnf(i_0_112,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v2_binop_1(X3,X1)
| X3 != k1_realset1(X4,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ v2_binop_1(X4,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_112) ).
cnf(i_0_51,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_51) ).
cnf(i_0_21,plain,
( v3_struct_0(X1)
| v5_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_21) ).
cnf(i_0_13,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_13) ).
cnf(i_0_14,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_14) ).
cnf(i_0_114,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_binop_1(X3,X1)
| X3 != k1_realset1(X4,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ v1_binop_1(X4,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_114) ).
cnf(i_0_47,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_47) ).
cnf(i_0_20,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_20) ).
cnf(i_0_22,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_22) ).
cnf(i_0_19,plain,
( v3_struct_0(X1)
| v7_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_19) ).
cnf(i_0_122,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| r1_lattice2(X1,X3,X4)
| X4 != k1_realset1(X5,X1)
| X3 != k1_realset1(X6,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X6)
| ~ r1_lattice2(X2,X6,X5)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_122) ).
cnf(i_0_3,negated_conjecture,
k1_realset1(u2_lattices(esk1_0),esk2_0) = esk3_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_3) ).
cnf(i_0_9,negated_conjecture,
v1_funct_1(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_9) ).
cnf(i_0_7,negated_conjecture,
m2_relset_1(esk3_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
v1_funct_2(esk3_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_8) ).
cnf(i_0_11,negated_conjecture,
~ v1_xboole_0(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_11) ).
cnf(i_0_49,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-a6jv2ke_/lgb.p',i_0_49) ).
cnf(i_0_43,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/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_43) ).
cnf(i_0_10,negated_conjecture,
m2_lattice4(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_10) ).
cnf(i_0_72,plain,
( v3_struct_0(X1)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ v5_lattices(X1)
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_72) ).
cnf(i_0_50,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-a6jv2ke_/lgb.p',i_0_50) ).
cnf(i_0_2,negated_conjecture,
k1_realset1(u1_lattices(esk1_0),esk2_0) = esk4_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_2) ).
cnf(i_0_6,negated_conjecture,
v1_funct_1(esk4_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_6) ).
cnf(i_0_4,negated_conjecture,
m2_relset_1(esk4_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v1_funct_2(esk4_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_5) ).
cnf(i_0_45,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-a6jv2ke_/lgb.p',i_0_45) ).
cnf(i_0_79,plain,
( v3_struct_0(X1)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ v6_lattices(X1)
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_79) ).
cnf(i_0_46,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-a6jv2ke_/lgb.p',i_0_46) ).
cnf(i_0_65,plain,
( v3_struct_0(X1)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ v4_lattices(X1)
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_65) ).
cnf(i_0_85,plain,
( v3_struct_0(X1)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ v7_lattices(X1)
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_85) ).
cnf(i_0_119,plain,
( v3_struct_0(X1)
| r1_lattice2(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_119) ).
cnf(i_0_1,negated_conjecture,
( ~ v1_binop_1(esk3_0,esk2_0)
| ~ v1_binop_1(esk4_0,esk2_0)
| ~ v2_binop_1(esk3_0,esk2_0)
| ~ v2_binop_1(esk4_0,esk2_0)
| ~ r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ r1_lattice2(esk2_0,esk4_0,esk3_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_1) ).
cnf(i_0_120,plain,
( v3_struct_0(X1)
| r1_lattice2(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_120) ).
cnf(i_0_38,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_38) ).
cnf(i_0_61,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a6jv2ke_/lgb.p',i_0_61) ).
cnf(c_0_161,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_39 ).
cnf(c_0_162,negated_conjecture,
l3_lattices(esk1_0),
i_0_12 ).
cnf(c_0_163,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_40 ).
cnf(c_0_164,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v2_binop_1(X3,X1)
| X3 != k1_realset1(X4,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ v2_binop_1(X4,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2) ),
i_0_112 ).
cnf(c_0_165,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
i_0_51 ).
cnf(c_0_166,negated_conjecture,
l2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_167,plain,
( v3_struct_0(X1)
| v5_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_21 ).
cnf(c_0_168,negated_conjecture,
v10_lattices(esk1_0),
i_0_13 ).
cnf(c_0_169,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_14 ).
cnf(c_0_170,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_binop_1(X3,X1)
| X3 != k1_realset1(X4,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ v1_binop_1(X4,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2) ),
i_0_114 ).
cnf(c_0_171,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
i_0_47 ).
cnf(c_0_172,negated_conjecture,
l1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_163,c_0_162]) ).
cnf(c_0_173,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_20 ).
cnf(c_0_174,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_22 ).
cnf(c_0_175,plain,
( v3_struct_0(X1)
| v7_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_19 ).
cnf(c_0_176,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| r1_lattice2(X1,X3,X4)
| X4 != k1_realset1(X5,X1)
| X3 != k1_realset1(X6,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X6)
| ~ r1_lattice2(X2,X6,X5)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) ),
i_0_122 ).
cnf(c_0_177,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v2_binop_1(k1_realset1(X3,X2),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_funct_1(k1_realset1(X3,X2))
| ~ v1_funct_1(X3)
| ~ v2_binop_1(X3,X1)
| ~ m2_relset_1(k1_realset1(X3,X2),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X2),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1) ),
inference(er,[status(thm)],[c_0_164]) ).
cnf(c_0_178,negated_conjecture,
k1_realset1(u2_lattices(esk1_0),esk2_0) = esk3_0,
i_0_3 ).
cnf(c_0_179,negated_conjecture,
v1_funct_1(esk3_0),
i_0_9 ).
cnf(c_0_180,plain,
v1_funct_1(u2_lattices(esk1_0)),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_181,negated_conjecture,
m2_relset_1(esk3_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
i_0_7 ).
cnf(c_0_182,negated_conjecture,
v1_funct_2(esk3_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
i_0_8 ).
cnf(c_0_183,negated_conjecture,
~ v1_xboole_0(esk2_0),
i_0_11 ).
cnf(c_0_184,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_49 ).
cnf(c_0_185,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_43 ).
cnf(c_0_186,negated_conjecture,
m2_lattice4(esk2_0,esk1_0),
i_0_10 ).
cnf(c_0_187,plain,
( v3_struct_0(X1)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ v5_lattices(X1)
| ~ l2_lattices(X1) ),
i_0_72 ).
cnf(c_0_188,negated_conjecture,
v5_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_162]),c_0_168])]),c_0_169]) ).
cnf(c_0_189,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_50 ).
cnf(c_0_190,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_binop_1(k1_realset1(X3,X2),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_funct_1(k1_realset1(X3,X2))
| ~ v1_funct_1(X3)
| ~ v1_binop_1(X3,X1)
| ~ m2_relset_1(k1_realset1(X3,X2),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X2),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1) ),
inference(er,[status(thm)],[c_0_170]) ).
cnf(c_0_191,negated_conjecture,
k1_realset1(u1_lattices(esk1_0),esk2_0) = esk4_0,
i_0_2 ).
cnf(c_0_192,negated_conjecture,
v1_funct_1(esk4_0),
i_0_6 ).
cnf(c_0_193,plain,
v1_funct_1(u1_lattices(esk1_0)),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_194,negated_conjecture,
m2_relset_1(esk4_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
i_0_4 ).
cnf(c_0_195,negated_conjecture,
v1_funct_2(esk4_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
i_0_5 ).
cnf(c_0_196,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_45 ).
cnf(c_0_197,plain,
( v3_struct_0(X1)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ v6_lattices(X1)
| ~ l1_lattices(X1) ),
i_0_79 ).
cnf(c_0_198,negated_conjecture,
v6_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_162]),c_0_168])]),c_0_169]) ).
cnf(c_0_199,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_46 ).
cnf(c_0_200,plain,
( v3_struct_0(X1)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ v4_lattices(X1)
| ~ l2_lattices(X1) ),
i_0_65 ).
cnf(c_0_201,negated_conjecture,
v4_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_162]),c_0_168])]),c_0_169]) ).
cnf(c_0_202,plain,
( v3_struct_0(X1)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ v7_lattices(X1)
| ~ l1_lattices(X1) ),
i_0_85 ).
cnf(c_0_203,negated_conjecture,
v7_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_162]),c_0_168])]),c_0_169]) ).
cnf(c_0_204,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| r1_lattice2(X2,k1_realset1(X3,X2),k1_realset1(X4,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_funct_1(k1_realset1(X4,X2))
| ~ v1_funct_1(k1_realset1(X3,X2))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ r1_lattice2(X1,X3,X4)
| ~ m2_relset_1(k1_realset1(X4,X2),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(k1_realset1(X3,X2),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X4,X2),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(k1_realset1(X3,X2),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_176])]) ).
cnf(c_0_205,negated_conjecture,
( v1_xboole_0(X1)
| v2_binop_1(esk3_0,esk2_0)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v2_binop_1(u2_lattices(esk1_0),X1)
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1) ),
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_177,c_0_178]),c_0_179]),c_0_180]),c_0_181]),c_0_182])]),c_0_183]) ).
cnf(c_0_206,plain,
m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_184,c_0_166]) ).
cnf(c_0_207,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_162]),c_0_168])]),c_0_169]) ).
cnf(c_0_208,plain,
v2_binop_1(u2_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_166])]),c_0_169]) ).
cnf(c_0_209,plain,
v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_189,c_0_166]) ).
cnf(c_0_210,negated_conjecture,
( v1_xboole_0(X1)
| v1_binop_1(esk4_0,esk2_0)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v1_binop_1(u1_lattices(esk1_0),X1)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1) ),
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_190,c_0_191]),c_0_192]),c_0_193]),c_0_194]),c_0_195])]),c_0_183]) ).
cnf(c_0_211,plain,
m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_196,c_0_172]) ).
cnf(c_0_212,plain,
v1_binop_1(u1_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_172])]),c_0_169]) ).
cnf(c_0_213,plain,
v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_199,c_0_172]) ).
cnf(c_0_214,negated_conjecture,
( v1_xboole_0(X1)
| v1_binop_1(esk3_0,esk2_0)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v1_binop_1(u2_lattices(esk1_0),X1)
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1) ),
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_190,c_0_178]),c_0_179]),c_0_180]),c_0_181]),c_0_182])]),c_0_183]) ).
cnf(c_0_215,plain,
v1_binop_1(u2_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_166])]),c_0_169]) ).
cnf(c_0_216,negated_conjecture,
( v1_xboole_0(X1)
| v2_binop_1(esk4_0,esk2_0)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v2_binop_1(u1_lattices(esk1_0),X1)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1) ),
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_177,c_0_191]),c_0_192]),c_0_193]),c_0_194]),c_0_195])]),c_0_183]) ).
cnf(c_0_217,plain,
v2_binop_1(u1_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_172])]),c_0_169]) ).
cnf(c_0_218,negated_conjecture,
( v1_xboole_0(X1)
| r1_lattice2(esk2_0,k1_realset1(X2,esk2_0),esk4_0)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v1_funct_1(k1_realset1(X2,esk2_0))
| ~ v1_funct_1(X2)
| ~ r1_lattice2(X1,X2,u1_lattices(esk1_0))
| ~ m2_relset_1(k1_realset1(X2,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1) ),
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_204,c_0_191]),c_0_192]),c_0_193]),c_0_194]),c_0_195])]),c_0_183]) ).
cnf(c_0_219,plain,
( v3_struct_0(X1)
| r1_lattice2(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_119 ).
cnf(c_0_220,negated_conjecture,
( ~ v1_binop_1(esk3_0,esk2_0)
| ~ v1_binop_1(esk4_0,esk2_0)
| ~ v2_binop_1(esk3_0,esk2_0)
| ~ v2_binop_1(esk4_0,esk2_0)
| ~ r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ r1_lattice2(esk2_0,esk4_0,esk3_0) ),
i_0_1 ).
cnf(c_0_221,plain,
( v1_xboole_0(u1_struct_0(esk1_0))
| v2_binop_1(esk3_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]),c_0_208]),c_0_209])]) ).
cnf(c_0_222,plain,
( v1_xboole_0(u1_struct_0(esk1_0))
| v1_binop_1(esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_207]),c_0_212]),c_0_213])]) ).
cnf(c_0_223,plain,
( v1_xboole_0(u1_struct_0(esk1_0))
| v1_binop_1(esk3_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_206]),c_0_207]),c_0_215]),c_0_209])]) ).
cnf(c_0_224,plain,
( v1_xboole_0(u1_struct_0(esk1_0))
| v2_binop_1(esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_211]),c_0_207]),c_0_217]),c_0_213])]) ).
cnf(c_0_225,negated_conjecture,
( v1_xboole_0(X1)
| r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ r1_lattice2(X1,u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1) ),
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_218,c_0_178]),c_0_179]),c_0_180]),c_0_181]),c_0_182])]) ).
cnf(c_0_226,negated_conjecture,
r1_lattice2(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_162]),c_0_168])]),c_0_169]) ).
cnf(c_0_227,negated_conjecture,
( v1_xboole_0(X1)
| r1_lattice2(esk2_0,k1_realset1(X2,esk2_0),esk3_0)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v1_funct_1(k1_realset1(X2,esk2_0))
| ~ v1_funct_1(X2)
| ~ r1_lattice2(X1,X2,u2_lattices(esk1_0))
| ~ m2_relset_1(k1_realset1(X2,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1) ),
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_204,c_0_178]),c_0_179]),c_0_180]),c_0_181]),c_0_182])]),c_0_183]) ).
cnf(c_0_228,plain,
( v3_struct_0(X1)
| r1_lattice2(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_120 ).
cnf(c_0_229,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ r1_lattice2(esk2_0,esk4_0,esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222]),c_0_223]),c_0_224]) ).
cnf(c_0_230,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| r1_lattice2(esk2_0,esk3_0,esk4_0) ),
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_225,c_0_226]),c_0_207]),c_0_211]),c_0_206]),c_0_213]),c_0_209])]) ).
cnf(c_0_231,negated_conjecture,
( v1_xboole_0(X1)
| r1_lattice2(esk2_0,esk4_0,esk3_0)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ r1_lattice2(X1,u1_lattices(esk1_0),u2_lattices(esk1_0))
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1) ),
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_227,c_0_191]),c_0_192]),c_0_193]),c_0_194]),c_0_195])]) ).
cnf(c_0_232,negated_conjecture,
r1_lattice2(u1_struct_0(esk1_0),u1_lattices(esk1_0),u2_lattices(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_162]),c_0_168])]),c_0_169]) ).
cnf(c_0_233,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ r1_lattice2(esk2_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_234,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
i_0_38 ).
cnf(c_0_235,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_61 ).
cnf(c_0_236,negated_conjecture,
v1_xboole_0(u1_struct_0(esk1_0)),
inference(csr,[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_231,c_0_232]),c_0_207]),c_0_206]),c_0_211]),c_0_209]),c_0_213])]),c_0_233]) ).
cnf(c_0_237,plain,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_234,c_0_166]) ).
cnf(c_0_238,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237])]),c_0_169]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : LAT326+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Wed Jun 29 10:25:14 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.36 # ENIGMATIC: Selected complete mode:
% 8.38/2.31 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.38/2.31 # No SInE strategy applied
% 8.38/2.31 # Trying AutoSched0 for 150 seconds
% 8.38/2.31 # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 8.38/2.31 # and selection function SelectComplexG.
% 8.38/2.31 #
% 8.38/2.31 # Preprocessing time : 0.015 s
% 8.38/2.31
% 8.38/2.31 # Proof found!
% 8.38/2.31 # SZS status Theorem
% 8.38/2.31 # SZS output start CNFRefutation
% See solution above
% 8.38/2.31 # Training examples: 0 positive, 0 negative
% 8.38/2.31
% 8.38/2.31 # -------------------------------------------------
% 8.38/2.31 # User time : 0.096 s
% 8.38/2.31 # System time : 0.007 s
% 8.38/2.31 # Total time : 0.104 s
% 8.38/2.31 # Maximum resident set size: 7120 pages
% 8.38/2.31
%------------------------------------------------------------------------------