TSTP Solution File: LAT314+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT314+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n014.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 04:29:26 EDT 2022
% Result : Theorem 17.09s 3.43s
% Output : CNFRefutation 17.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 25
% Syntax : Number of clauses : 74 ( 23 unt; 35 nHn; 66 RR)
% Number of literals : 312 ( 25 equ; 169 neg)
% Maximal clause size : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 136 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_87,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| r2_hidden(X4,a_3_0_filter_2(X1,X3,X2))
| X4 != k3_lattices(X1,X5,X6)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X6,X2)
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X6,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_87) ).
cnf(i_0_130,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_130) ).
cnf(i_0_133,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_133) ).
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/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_26) ).
cnf(i_0_51,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_51) ).
cnf(i_0_16,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_16) ).
cnf(i_0_90,plain,
( k3_lattices(X1,esk12_4(X2,X1,X3,X4),esk13_4(X2,X1,X3,X4)) = X2
| v3_struct_0(X1)
| v1_xboole_0(X4)
| v1_xboole_0(X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X2,a_3_0_filter_2(X1,X3,X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_90) ).
cnf(i_0_89,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| r2_hidden(esk12_4(X4,X1,X3,X2),X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X4,a_3_0_filter_2(X1,X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_89) ).
cnf(i_0_88,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| r2_hidden(esk13_4(X4,X1,X3,X2),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X4,a_3_0_filter_2(X1,X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_88) ).
cnf(i_0_126,plain,
( X1 = X2
| r2_hidden(esk25_2(X1,X2),X2)
| r2_hidden(esk25_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_126) ).
cnf(i_0_2,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_2) ).
cnf(i_0_6,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_8) ).
cnf(i_0_3,negated_conjecture,
~ v1_xboole_0(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
~ v1_xboole_0(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_5) ).
cnf(i_0_1,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k20_filter_2(esk1_0,esk2_0,esk3_0),k20_filter_2(esk1_0,esk3_0,esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_1) ).
cnf(i_0_27,plain,
( k20_filter_2(X1,X2,X3) = a_3_0_filter_2(X1,X2,X3)
| v3_struct_0(X1)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_27) ).
cnf(i_0_48,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_48) ).
cnf(i_0_52,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_52) ).
cnf(i_0_127,plain,
( X1 = X2
| ~ r2_hidden(esk25_2(X1,X2),X2)
| ~ r2_hidden(esk25_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_127) ).
cnf(i_0_67,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_67) ).
cnf(i_0_42,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| m1_subset_1(k20_filter_2(X1,X3,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_42) ).
cnf(i_0_119,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0j7ciqy/input.p',i_0_119) ).
cnf(c_0_159,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| r2_hidden(X4,a_3_0_filter_2(X1,X3,X2))
| X4 != k3_lattices(X1,X5,X6)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X6,X2)
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X6,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_87 ).
cnf(c_0_160,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
i_0_130 ).
cnf(c_0_161,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
i_0_133 ).
cnf(c_0_162,plain,
( r2_hidden(X1,a_3_0_filter_2(X2,X3,X4))
| v3_struct_0(X2)
| X1 != k3_lattices(X2,X5,X6)
| ~ r2_hidden(X6,X4)
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_159,c_0_160]),c_0_160]),c_0_161]),c_0_161]) ).
cnf(c_0_163,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_164,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_51 ).
cnf(c_0_165,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_16 ).
cnf(c_0_166,plain,
( r2_hidden(X1,a_3_0_filter_2(X2,X3,X4))
| v3_struct_0(X2)
| X1 != k3_lattices(X2,X5,X6)
| ~ r2_hidden(X5,X4)
| ~ r2_hidden(X6,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]),c_0_160]),c_0_160]),c_0_165]) ).
cnf(c_0_167,plain,
( k3_lattices(X1,esk12_4(X2,X1,X3,X4),esk13_4(X2,X1,X3,X4)) = X2
| v3_struct_0(X1)
| v1_xboole_0(X4)
| v1_xboole_0(X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X2,a_3_0_filter_2(X1,X3,X4)) ),
i_0_90 ).
cnf(c_0_168,plain,
( r2_hidden(X1,a_3_0_filter_2(X2,X3,X4))
| v3_struct_0(X2)
| v1_xboole_0(X5)
| v1_xboole_0(X6)
| ~ r2_hidden(esk12_4(X1,X2,X6,X5),X4)
| ~ r2_hidden(esk13_4(X1,X2,X6,X5),X3)
| ~ r2_hidden(X1,a_3_0_filter_2(X2,X6,X5))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167])]) ).
cnf(c_0_169,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| r2_hidden(esk12_4(X4,X1,X3,X2),X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X4,a_3_0_filter_2(X1,X3,X2)) ),
i_0_89 ).
cnf(c_0_170,plain,
( r2_hidden(X1,a_3_0_filter_2(X2,X3,X4))
| v3_struct_0(X2)
| v1_xboole_0(X4)
| v1_xboole_0(X5)
| ~ r2_hidden(esk13_4(X1,X2,X4,X5),X3)
| ~ r2_hidden(X1,a_3_0_filter_2(X2,X4,X5))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_171,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| r2_hidden(esk13_4(X4,X1,X3,X2),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X4,a_3_0_filter_2(X1,X3,X2)) ),
i_0_88 ).
cnf(c_0_172,plain,
( r2_hidden(X1,a_3_0_filter_2(X2,X3,X4))
| v3_struct_0(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X4)
| ~ r2_hidden(X1,a_3_0_filter_2(X2,X4,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_173,plain,
( X1 = X2
| r2_hidden(esk25_2(X1,X2),X2)
| r2_hidden(esk25_2(X1,X2),X1) ),
i_0_126 ).
cnf(c_0_174,plain,
( a_3_0_filter_2(X1,X2,X3) = X4
| r2_hidden(esk25_2(a_3_0_filter_2(X1,X2,X3),X4),a_3_0_filter_2(X1,X3,X2))
| r2_hidden(esk25_2(a_3_0_filter_2(X1,X2,X3),X4),X4)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_175,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
i_0_2 ).
cnf(c_0_176,negated_conjecture,
l3_lattices(esk1_0),
i_0_6 ).
cnf(c_0_177,negated_conjecture,
v10_lattices(esk1_0),
i_0_7 ).
cnf(c_0_178,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_8 ).
cnf(c_0_179,negated_conjecture,
~ v1_xboole_0(esk3_0),
i_0_3 ).
cnf(c_0_180,plain,
( X1 = a_3_0_filter_2(X2,X3,X4)
| r2_hidden(esk25_2(X1,a_3_0_filter_2(X2,X3,X4)),a_3_0_filter_2(X2,X4,X3))
| r2_hidden(esk25_2(X1,a_3_0_filter_2(X2,X3,X4)),X1)
| v3_struct_0(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_181,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
i_0_4 ).
cnf(c_0_182,negated_conjecture,
~ v1_xboole_0(esk2_0),
i_0_5 ).
cnf(c_0_183,negated_conjecture,
( a_3_0_filter_2(esk1_0,X1,esk3_0) = X2
| r2_hidden(esk25_2(a_3_0_filter_2(esk1_0,X1,esk3_0),X2),a_3_0_filter_2(esk1_0,esk3_0,X1))
| r2_hidden(esk25_2(a_3_0_filter_2(esk1_0,X1,esk3_0),X2),X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]),c_0_177])]),c_0_178]),c_0_179]) ).
cnf(c_0_184,negated_conjecture,
( X1 = a_3_0_filter_2(esk1_0,X2,esk2_0)
| r2_hidden(esk25_2(X1,a_3_0_filter_2(esk1_0,X2,esk2_0)),a_3_0_filter_2(esk1_0,esk2_0,X2))
| r2_hidden(esk25_2(X1,a_3_0_filter_2(esk1_0,X2,esk2_0)),X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_176]),c_0_177])]),c_0_178]),c_0_182]) ).
cnf(c_0_185,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k20_filter_2(esk1_0,esk2_0,esk3_0),k20_filter_2(esk1_0,esk3_0,esk2_0)),
i_0_1 ).
cnf(c_0_186,plain,
( k20_filter_2(X1,X2,X3) = a_3_0_filter_2(X1,X2,X3)
| v3_struct_0(X1)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_27 ).
cnf(c_0_187,negated_conjecture,
( a_3_0_filter_2(esk1_0,esk2_0,esk3_0) = X1
| r2_hidden(esk25_2(a_3_0_filter_2(esk1_0,esk2_0,esk3_0),X1),a_3_0_filter_2(esk1_0,esk3_0,esk2_0))
| r2_hidden(esk25_2(a_3_0_filter_2(esk1_0,esk2_0,esk3_0),X1),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_181]),c_0_182]) ).
cnf(c_0_188,negated_conjecture,
( X1 = a_3_0_filter_2(esk1_0,esk3_0,esk2_0)
| r2_hidden(esk25_2(X1,a_3_0_filter_2(esk1_0,esk3_0,esk2_0)),a_3_0_filter_2(esk1_0,esk2_0,esk3_0))
| r2_hidden(esk25_2(X1,a_3_0_filter_2(esk1_0,esk3_0,esk2_0)),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_175]),c_0_179]) ).
cnf(c_0_189,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
i_0_48 ).
cnf(c_0_190,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_52 ).
cnf(c_0_191,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k20_filter_2(esk1_0,esk2_0,esk3_0),a_3_0_filter_2(esk1_0,esk3_0,esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[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_185,c_0_186]),c_0_181]),c_0_175]),c_0_176]),c_0_177])]),c_0_178]),c_0_179]),c_0_182]) ).
cnf(c_0_192,plain,
( X1 = X2
| ~ r2_hidden(esk25_2(X1,X2),X2)
| ~ r2_hidden(esk25_2(X1,X2),X1) ),
i_0_127 ).
cnf(c_0_193,negated_conjecture,
( a_3_0_filter_2(esk1_0,esk3_0,esk2_0) = a_3_0_filter_2(esk1_0,esk2_0,esk3_0)
| r2_hidden(esk25_2(a_3_0_filter_2(esk1_0,esk2_0,esk3_0),a_3_0_filter_2(esk1_0,esk3_0,esk2_0)),a_3_0_filter_2(esk1_0,esk3_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_187]) ).
cnf(c_0_194,negated_conjecture,
( a_3_0_filter_2(esk1_0,esk3_0,esk2_0) = a_3_0_filter_2(esk1_0,esk2_0,esk3_0)
| r2_hidden(esk25_2(a_3_0_filter_2(esk1_0,esk2_0,esk3_0),a_3_0_filter_2(esk1_0,esk3_0,esk2_0)),a_3_0_filter_2(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_188]) ).
cnf(c_0_195,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_67 ).
cnf(c_0_196,plain,
( l1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_197,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| m1_subset_1(k20_filter_2(X1,X3,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_42 ).
cnf(c_0_198,plain,
~ r1_filter_2(u1_struct_0(esk1_0),a_3_0_filter_2(esk1_0,esk2_0,esk3_0),a_3_0_filter_2(esk1_0,esk3_0,esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[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_191,c_0_186]),c_0_175]),c_0_181]),c_0_176]),c_0_177])]),c_0_178]),c_0_182]),c_0_179]) ).
cnf(c_0_199,plain,
a_3_0_filter_2(esk1_0,esk3_0,esk2_0) = a_3_0_filter_2(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]) ).
cnf(c_0_200,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_119 ).
cnf(c_0_201,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_202,plain,
( v3_struct_0(X1)
| m1_subset_1(a_3_0_filter_2(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_197,c_0_186]) ).
cnf(c_0_203,plain,
~ r1_filter_2(u1_struct_0(esk1_0),a_3_0_filter_2(esk1_0,esk2_0,esk3_0),a_3_0_filter_2(esk1_0,esk2_0,esk3_0)),
inference(rw,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_204,plain,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(er,[status(thm)],[c_0_200]) ).
cnf(c_0_205,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_176]),c_0_178]) ).
cnf(c_0_206,plain,
m1_subset_1(a_3_0_filter_2(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[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_202,c_0_199]),c_0_175]),c_0_181]),c_0_176]),c_0_177])]),c_0_178]),c_0_179]),c_0_182]) ).
cnf(c_0_207,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_205]),c_0_206])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT314+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 29 09:43:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 17.09/3.43 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 17.09/3.43 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 47; version: 991; iters: 150)
% 17.09/3.43 # Preprocessing time : 1.156 s
% 17.09/3.43
% 17.09/3.43 # Proof found!
% 17.09/3.43 # SZS status Theorem
% 17.09/3.43 # SZS output start CNFRefutation
% See solution above
% 17.09/3.43 # Training examples: 0 positive, 0 negative
% 17.09/3.43
% 17.09/3.43 # -------------------------------------------------
% 17.09/3.43 # User time : 1.045 s
% 17.09/3.43 # System time : 0.167 s
% 17.09/3.43 # Total time : 1.212 s
% 17.09/3.43 # ...preprocessing : 1.156 s
% 17.09/3.43 # ...main loop : 0.056 s
% 17.09/3.43 # Maximum resident set size: 176948 pages
% 17.09/3.43
%------------------------------------------------------------------------------