TSTP Solution File: LAT295+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT295+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 04:29:02 EDT 2022
% Result : Theorem 8.13s 2.36s
% Output : CNFRefutation 8.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 32
% Syntax : Number of clauses : 103 ( 30 unt; 17 nHn; 103 RR)
% Number of literals : 325 ( 83 equ; 216 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-6 aty)
% Number of variables : 144 ( 26 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_109,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_109) ).
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/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_52) ).
cnf(i_0_56,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-v9i2nzcz/input.p',i_0_56) ).
cnf(i_0_79,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-v9i2nzcz/input.p',i_0_79) ).
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/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_53) ).
cnf(i_0_54,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_54) ).
cnf(i_0_77,plain,
( X1 = X2
| g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_77) ).
cnf(i_0_57,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-v9i2nzcz/input.p',i_0_57) ).
cnf(i_0_58,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_58) ).
cnf(i_0_47,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_47) ).
cnf(i_0_12,negated_conjecture,
l3_lattices(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_12) ).
cnf(i_0_11,negated_conjecture,
g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_11) ).
cnf(i_0_14,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_14) ).
cnf(i_0_66,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_66) ).
cnf(i_0_44,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_44) ).
cnf(i_0_27,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/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_27) ).
cnf(i_0_107,plain,
( k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X6,X2)
| ~ m1_subset_1(X5,X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_107) ).
cnf(i_0_78,plain,
( X1 = X2
| g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_78) ).
cnf(i_0_48,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_48) ).
cnf(i_0_13,negated_conjecture,
~ v3_struct_0(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_13) ).
cnf(i_0_1,negated_conjecture,
( k1_lattices(esk2_0,esk5_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk4_0)
| k2_lattices(esk2_0,esk5_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk4_0)
| ~ r1_lattices(esk1_0,esk3_0,esk4_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_1) ).
cnf(i_0_6,negated_conjecture,
esk5_0 = esk3_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_6) ).
cnf(i_0_4,negated_conjecture,
( r1_lattices(esk1_0,esk3_0,esk4_0)
| r1_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk2_0,esk5_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk4_0)
| k2_lattices(esk2_0,esk5_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk4_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
esk4_0 = esk6_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_5) ).
cnf(i_0_15,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_15) ).
cnf(i_0_9,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_10) ).
cnf(i_0_7,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
m1_subset_1(esk5_0,u1_struct_0(esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_8) ).
cnf(i_0_29,plain,
( k1_lattices(X1,X2,X3) = X3
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ r1_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_29) ).
cnf(i_0_26,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/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_26) ).
cnf(i_0_28,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| k1_lattices(X1,X2,X3) != X3
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9i2nzcz/input.p',i_0_28) ).
cnf(c_0_142,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_109 ).
cnf(c_0_143,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_144,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_56 ).
cnf(c_0_145,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_79 ).
cnf(c_0_146,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_147,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
i_0_54 ).
cnf(c_0_148,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_142,c_0_143]) ).
cnf(c_0_149,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_77 ).
cnf(c_0_150,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_57 ).
cnf(c_0_151,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
i_0_58 ).
cnf(c_0_152,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_142,c_0_144]) ).
cnf(c_0_153,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_145,c_0_146]),c_0_147]),c_0_148]) ).
cnf(c_0_154,plain,
( X1 = X2
| g3_lattices(u1_struct_0(X3),u2_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))
| ~ l2_lattices(X3)
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_152]) ).
cnf(c_0_155,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_47 ).
cnf(c_0_156,negated_conjecture,
l3_lattices(esk2_0),
i_0_12 ).
cnf(c_0_157,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_153,c_0_150]),c_0_151]),c_0_152]) ).
cnf(c_0_158,negated_conjecture,
g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)),
i_0_11 ).
cnf(c_0_159,negated_conjecture,
l3_lattices(esk1_0),
i_0_14 ).
cnf(c_0_160,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_66 ).
cnf(c_0_161,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
i_0_44 ).
cnf(c_0_162,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_154,c_0_146]),c_0_147]),c_0_148]) ).
cnf(c_0_163,negated_conjecture,
l2_lattices(esk2_0),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_164,negated_conjecture,
( u1_struct_0(X1) = u1_struct_0(esk2_0)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ l1_lattices(X1)
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_165,negated_conjecture,
l2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_155,c_0_159]) ).
cnf(c_0_166,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_27 ).
cnf(c_0_167,plain,
( k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X6,X2)
| ~ m1_subset_1(X5,X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3) ),
i_0_107 ).
cnf(c_0_168,plain,
( v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_169,negated_conjecture,
( u1_lattices(esk2_0) = X1
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X3,X1)
| ~ l1_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_158]),c_0_163])]) ).
cnf(c_0_170,plain,
( X1 = X2
| g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
| ~ 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_78 ).
cnf(c_0_171,negated_conjecture,
( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_164]),c_0_165])]) ).
cnf(c_0_172,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_48 ).
cnf(c_0_173,plain,
( k1_binop_1(u1_lattices(X1),X2,X3) = k2_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(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_147]),c_0_148]),c_0_146]),c_0_168]) ).
cnf(c_0_174,negated_conjecture,
( u1_lattices(esk2_0) = u1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(er,[status(thm)],[c_0_169]) ).
cnf(c_0_175,negated_conjecture,
~ v3_struct_0(esk2_0),
i_0_13 ).
cnf(c_0_176,plain,
( X1 = X2
| g3_lattices(u1_struct_0(X3),X1,u1_lattices(X3)) != g3_lattices(X4,X2,X5)
| ~ 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_170,c_0_146]),c_0_147]),c_0_148]) ).
cnf(c_0_177,plain,
u1_struct_0(esk2_0) = u1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_159])]) ).
cnf(c_0_178,negated_conjecture,
( k1_lattices(esk2_0,esk5_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk4_0)
| k2_lattices(esk2_0,esk5_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk4_0)
| ~ r1_lattices(esk1_0,esk3_0,esk4_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0) ),
i_0_1 ).
cnf(c_0_179,negated_conjecture,
esk5_0 = esk3_0,
i_0_6 ).
cnf(c_0_180,negated_conjecture,
( r1_lattices(esk1_0,esk3_0,esk4_0)
| r1_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk2_0,esk5_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk4_0)
| k2_lattices(esk2_0,esk5_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk4_0) ),
i_0_4 ).
cnf(c_0_181,negated_conjecture,
esk4_0 = esk6_0,
i_0_5 ).
cnf(c_0_182,plain,
( k1_binop_1(u1_lattices(esk1_0),X1,X2) = k2_lattices(esk2_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ l1_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).
cnf(c_0_183,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_15 ).
cnf(c_0_184,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
i_0_9 ).
cnf(c_0_185,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
i_0_10 ).
cnf(c_0_186,plain,
( u2_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X2,X4)
| ~ l1_lattices(X1)
| ~ l2_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_150]),c_0_151]),c_0_152]) ).
cnf(c_0_187,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)),
inference(rw,[status(thm)],[c_0_158,c_0_177]) ).
cnf(c_0_188,negated_conjecture,
( k1_lattices(esk2_0,esk5_0,esk6_0) != k1_lattices(esk1_0,esk5_0,esk4_0)
| k2_lattices(esk2_0,esk5_0,esk6_0) != k2_lattices(esk1_0,esk5_0,esk4_0)
| ~ r1_lattices(esk1_0,esk5_0,esk4_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179]),c_0_179]),c_0_179]) ).
cnf(c_0_189,negated_conjecture,
( r1_lattices(esk2_0,esk5_0,esk6_0)
| r1_lattices(esk1_0,esk5_0,esk6_0)
| k1_lattices(esk2_0,esk5_0,esk6_0) != k1_lattices(esk1_0,esk5_0,esk6_0)
| k2_lattices(esk2_0,esk5_0,esk6_0) != k2_lattices(esk1_0,esk5_0,esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_179]),c_0_181]),c_0_179]),c_0_181]),c_0_179]),c_0_181]) ).
cnf(c_0_190,plain,
( k2_lattices(esk2_0,X1,X2) = k2_lattices(esk1_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_182]),c_0_183]) ).
cnf(c_0_191,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_184,c_0_181]) ).
cnf(c_0_192,negated_conjecture,
m1_subset_1(esk5_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_185,c_0_179]) ).
cnf(c_0_193,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(esk2_0)),
i_0_7 ).
cnf(c_0_194,negated_conjecture,
m1_subset_1(esk5_0,u1_struct_0(esk2_0)),
i_0_8 ).
cnf(c_0_195,negated_conjecture,
( u2_lattices(X1) = u2_lattices(esk2_0)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ l1_lattices(X1)
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_196,negated_conjecture,
( k1_lattices(esk2_0,esk5_0,esk6_0) != k1_lattices(esk1_0,esk5_0,esk6_0)
| k2_lattices(esk2_0,esk5_0,esk6_0) != k2_lattices(esk1_0,esk5_0,esk6_0)
| ~ r1_lattices(esk1_0,esk5_0,esk6_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_181]),c_0_181]),c_0_181]) ).
cnf(c_0_197,plain,
( k1_lattices(X1,X2,X3) = X3
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ r1_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_29 ).
cnf(c_0_198,negated_conjecture,
( r1_lattices(esk1_0,esk5_0,esk6_0)
| r1_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk2_0,esk5_0,esk6_0) != k1_lattices(esk1_0,esk5_0,esk6_0)
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
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_189,c_0_190]),c_0_191]),c_0_192]),c_0_193]),c_0_194])]) ).
cnf(c_0_199,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_26 ).
cnf(c_0_200,negated_conjecture,
( u2_lattices(esk2_0) = u2_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_195]),c_0_165])]) ).
cnf(c_0_201,negated_conjecture,
( k1_lattices(esk2_0,esk5_0,esk6_0) != k1_lattices(esk1_0,esk5_0,esk6_0)
| ~ r1_lattices(esk1_0,esk5_0,esk6_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0)
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
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_196,c_0_190]),c_0_191]),c_0_192]),c_0_193]),c_0_194])]) ).
cnf(c_0_202,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| k1_lattices(X1,X2,X3) != X3
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_28 ).
cnf(c_0_203,plain,
( k1_lattices(esk2_0,esk5_0,esk6_0) = esk6_0
| r1_lattices(esk1_0,esk5_0,esk6_0)
| k1_lattices(esk2_0,esk5_0,esk6_0) != k1_lattices(esk1_0,esk5_0,esk6_0)
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_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_197,c_0_198]),c_0_193]),c_0_194]),c_0_163])]),c_0_175]) ).
cnf(c_0_204,plain,
( k2_binop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u2_lattices(esk1_0),X1,X2) = k1_lattices(esk2_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_177]),c_0_177]),c_0_177]),c_0_177]),c_0_177]),c_0_163])]),c_0_175]) ).
cnf(c_0_205,plain,
( k1_lattices(esk2_0,esk5_0,esk6_0) != k1_lattices(esk1_0,esk5_0,esk6_0)
| k1_lattices(esk2_0,esk5_0,esk6_0) != esk6_0
| ~ r1_lattices(esk1_0,esk5_0,esk6_0)
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_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_201,c_0_202]),c_0_193]),c_0_194]),c_0_163])]),c_0_175]) ).
cnf(c_0_206,plain,
( k1_lattices(esk2_0,esk5_0,esk6_0) = esk6_0
| k1_lattices(esk1_0,esk5_0,esk6_0) = esk6_0
| k1_lattices(esk2_0,esk5_0,esk6_0) != k1_lattices(esk1_0,esk5_0,esk6_0)
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_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_197,c_0_203]),c_0_191]),c_0_192]),c_0_165])]),c_0_183]) ).
cnf(c_0_207,plain,
( k1_lattices(esk2_0,X1,X2) = k1_lattices(esk1_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_204]),c_0_165])]),c_0_183]) ).
cnf(c_0_208,plain,
( k1_lattices(esk2_0,esk5_0,esk6_0) != k1_lattices(esk1_0,esk5_0,esk6_0)
| k1_lattices(esk2_0,esk5_0,esk6_0) != esk6_0
| k1_lattices(esk1_0,esk5_0,esk6_0) != esk6_0
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_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_205,c_0_202]),c_0_191]),c_0_192]),c_0_165])]),c_0_183]) ).
cnf(c_0_209,plain,
( k1_lattices(esk1_0,esk5_0,esk6_0) = esk6_0
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_191]),c_0_192])]) ).
cnf(c_0_210,plain,
( ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_207]),c_0_191]),c_0_192])]),c_0_209]) ).
cnf(c_0_211,plain,
~ l1_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_172]),c_0_156])]) ).
cnf(c_0_212,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_172]),c_0_159])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT295+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n017.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 : Wed Jun 29 22:03:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 8.13/2.36 # ENIGMATIC: Solved by autoschedule:
% 8.13/2.36 # No SInE strategy applied
% 8.13/2.36 # Trying AutoSched0 for 150 seconds
% 8.13/2.36 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 8.13/2.36 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.13/2.36 #
% 8.13/2.36 # Preprocessing time : 0.024 s
% 8.13/2.36
% 8.13/2.36 # Proof found!
% 8.13/2.36 # SZS status Theorem
% 8.13/2.36 # SZS output start CNFRefutation
% See solution above
% 8.13/2.36 # Training examples: 0 positive, 0 negative
% 8.13/2.36
% 8.13/2.36 # -------------------------------------------------
% 8.13/2.36 # User time : 0.186 s
% 8.13/2.36 # System time : 0.007 s
% 8.13/2.36 # Total time : 0.193 s
% 8.13/2.36 # Maximum resident set size: 7120 pages
% 8.13/2.36
%------------------------------------------------------------------------------