TSTP Solution File: LAT329+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT329+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 04:29:43 EDT 2022
% Result : Theorem 17.13s 3.63s
% Output : CNFRefutation 17.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 28
% Syntax : Number of clauses : 96 ( 24 unt; 43 nHn; 83 RR)
% Number of literals : 365 ( 31 equ; 225 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 137 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_41,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_41) ).
cnf(i_0_26,plain,
( v3_struct_0(X1)
| m2_lattice4(k22_filter_2(X1,X2,X3),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/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_26) ).
cnf(i_0_90,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-9tpqv5so/input.p',i_0_90) ).
cnf(i_0_85,plain,
( X1 = X2
| r2_hidden(esk20_2(X1,X2),X2)
| r2_hidden(esk20_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_85) ).
cnf(i_0_36,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_36) ).
cnf(i_0_28,plain,
( v3_struct_0(X1)
| m1_filter_0(k2_filter_0(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_28) ).
cnf(i_0_30,plain,
( v3_struct_0(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_30) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_6) ).
cnf(i_0_34,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_34) ).
cnf(i_0_82,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,k2_filter_0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_82) ).
cnf(i_0_86,plain,
( X1 = X2
| ~ r2_hidden(esk20_2(X1,X2),X2)
| ~ r2_hidden(esk20_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_86) ).
cnf(i_0_81,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k2_filter_0(X1,X3))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_81) ).
cnf(i_0_94,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,k22_filter_2(X1,X2,X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_94) ).
cnf(i_0_92,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k22_filter_2(X1,X3,X4))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X2,X4)
| ~ r3_lattices(X1,X3,X4)
| ~ r3_lattices(X1,X3,X2)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_92) ).
cnf(i_0_89,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,k6_lattices(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_89) ).
cnf(i_0_2,negated_conjecture,
v14_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_2) ).
cnf(i_0_95,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_95) ).
cnf(i_0_63,plain,
v1_xboole_0(esk16_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_63) ).
cnf(i_0_64,plain,
m1_subset_1(esk16_1(X1),k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_64) ).
cnf(i_0_91,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_91) ).
cnf(i_0_1,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_1) ).
cnf(i_0_70,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/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_70) ).
cnf(i_0_53,plain,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_53) ).
cnf(i_0_73,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-9tpqv5so/input.p',i_0_73) ).
cnf(i_0_37,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9tpqv5so/input.p',i_0_37) ).
cnf(c_0_124,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_41 ).
cnf(c_0_125,plain,
( v3_struct_0(X1)
| m2_lattice4(k22_filter_2(X1,X2,X3),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_26 ).
cnf(c_0_126,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
i_0_90 ).
cnf(c_0_127,plain,
( v3_struct_0(X1)
| m1_subset_1(k22_filter_2(X1,X2,X3),k1_zfmisc_1(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_124,c_0_125]) ).
cnf(c_0_128,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,k22_filter_2(X1,X3,X4))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_129,plain,
( X1 = X2
| r2_hidden(esk20_2(X1,X2),X2)
| r2_hidden(esk20_2(X1,X2),X1) ),
i_0_85 ).
cnf(c_0_130,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_36 ).
cnf(c_0_131,plain,
( v3_struct_0(X1)
| m1_filter_0(k2_filter_0(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_28 ).
cnf(c_0_132,plain,
( k22_filter_2(X1,X2,X3) = X4
| r2_hidden(esk20_2(k22_filter_2(X1,X2,X3),X4),X4)
| v3_struct_0(X1)
| m1_subset_1(esk20_2(k22_filter_2(X1,X2,X3),X4),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_128,c_0_129]) ).
cnf(c_0_133,plain,
( v3_struct_0(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
i_0_30 ).
cnf(c_0_134,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_filter_0(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_135,plain,
( k22_filter_2(X1,X2,k6_lattices(X1)) = X3
| r2_hidden(esk20_2(k22_filter_2(X1,X2,k6_lattices(X1)),X3),X3)
| v3_struct_0(X1)
| m1_subset_1(esk20_2(k22_filter_2(X1,X2,k6_lattices(X1)),X3),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_136,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
i_0_3 ).
cnf(c_0_137,negated_conjecture,
l3_lattices(esk1_0),
i_0_4 ).
cnf(c_0_138,negated_conjecture,
v10_lattices(esk1_0),
i_0_5 ).
cnf(c_0_139,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_6 ).
cnf(c_0_140,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,k2_filter_0(X1,X3))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_134]) ).
cnf(c_0_141,negated_conjecture,
( k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)) = X1
| r2_hidden(esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),X1),X1)
| m1_subset_1(esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),X1),u1_struct_0(esk1_0))
| ~ l2_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_142,plain,
( k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| m1_subset_1(esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(X1,X2)),u1_struct_0(esk1_0))
| m1_subset_1(esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(X1,X2)),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(esk1_0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_143,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_34 ).
cnf(c_0_144,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,k2_filter_0(X1,X2)) ),
i_0_82 ).
cnf(c_0_145,plain,
( k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| m1_subset_1(esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(X1,X2)),u1_struct_0(esk1_0))
| m1_subset_1(esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(X1,X2)),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_137])]) ).
cnf(c_0_146,plain,
( X1 = k2_filter_0(X2,X3)
| r3_lattices(X2,X3,esk20_2(X1,k2_filter_0(X2,X3)))
| r2_hidden(esk20_2(X1,k2_filter_0(X2,X3)),X1)
| v3_struct_0(X2)
| ~ m1_subset_1(esk20_2(X1,k2_filter_0(X2,X3)),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_144,c_0_129]) ).
cnf(c_0_147,negated_conjecture,
( k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)) = k2_filter_0(esk1_0,esk2_0)
| m1_subset_1(esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(esk1_0,esk2_0)),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_145,c_0_136]),c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_148,plain,
( X1 = X2
| ~ r2_hidden(esk20_2(X1,X2),X2)
| ~ r2_hidden(esk20_2(X1,X2),X1) ),
i_0_86 ).
cnf(c_0_149,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k2_filter_0(X1,X3))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
i_0_81 ).
cnf(c_0_150,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,k22_filter_2(X1,X2,X4)) ),
i_0_94 ).
cnf(c_0_151,plain,
( k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)) = k2_filter_0(esk1_0,esk2_0)
| r3_lattices(esk1_0,esk2_0,esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(esk1_0,esk2_0)))
| r2_hidden(esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(esk1_0,esk2_0)),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_136]),c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_152,plain,
( X1 = k2_filter_0(X2,X3)
| v3_struct_0(X2)
| ~ r3_lattices(X2,X3,esk20_2(X1,k2_filter_0(X2,X3)))
| ~ r2_hidden(esk20_2(X1,k2_filter_0(X2,X3)),X1)
| ~ m1_subset_1(esk20_2(X1,k2_filter_0(X2,X3)),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_153,plain,
( k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)) = k2_filter_0(esk1_0,esk2_0)
| r3_lattices(esk1_0,esk2_0,esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(esk1_0,esk2_0)))
| ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ m1_subset_1(esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(k6_lattices(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(spm,[status(thm)],[c_0_150,c_0_151]),c_0_136]),c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_154,plain,
( k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)) = k2_filter_0(esk1_0,esk2_0)
| ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ r2_hidden(esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(esk1_0,esk2_0)),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)))
| ~ m1_subset_1(esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(k6_lattices(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(spm,[status(thm)],[c_0_152,c_0_153]),c_0_136]),c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_155,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k22_filter_2(X1,X3,X4))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X2,X4)
| ~ r3_lattices(X1,X3,X4)
| ~ r3_lattices(X1,X3,X2)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
i_0_92 ).
cnf(c_0_156,plain,
( k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)) = k2_filter_0(esk1_0,esk2_0)
| ~ r3_lattices(esk1_0,esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(esk1_0,esk2_0)),k6_lattices(esk1_0))
| ~ r3_lattices(esk1_0,esk2_0,esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(esk1_0,esk2_0)))
| ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ m1_subset_1(esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(k6_lattices(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(spm,[status(thm)],[c_0_154,c_0_155]),c_0_136]),c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_157,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,k6_lattices(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_89 ).
cnf(c_0_158,negated_conjecture,
v14_lattices(esk1_0),
i_0_2 ).
cnf(c_0_159,plain,
( k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)) = k2_filter_0(esk1_0,esk2_0)
| ~ r3_lattices(esk1_0,esk2_0,esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(esk1_0,esk2_0)))
| ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ m1_subset_1(esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(k6_lattices(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(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]),c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_160,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
i_0_95 ).
cnf(c_0_161,plain,
v1_xboole_0(esk16_1(X1)),
i_0_63 ).
cnf(c_0_162,plain,
( k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)) = k2_filter_0(esk1_0,esk2_0)
| ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ m1_subset_1(esk20_2(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k2_filter_0(esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_159,c_0_153]) ).
cnf(c_0_163,plain,
m1_subset_1(esk16_1(X1),k1_zfmisc_1(X1)),
i_0_64 ).
cnf(c_0_164,plain,
esk16_1(X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_165,negated_conjecture,
( k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)) = k2_filter_0(esk1_0,esk2_0)
| ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_162,c_0_147]) ).
cnf(c_0_166,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
i_0_91 ).
cnf(c_0_167,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_168,plain,
( m1_subset_1(k2_filter_0(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ m1_subset_1(k6_lattices(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(spm,[status(thm)],[c_0_127,c_0_165]),c_0_136]),c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_169,plain,
( ~ r2_hidden(X1,k1_xboole_0)
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_170,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),
i_0_1 ).
cnf(c_0_171,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_70 ).
cnf(c_0_172,plain,
( ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ r2_hidden(X1,k2_filter_0(esk1_0,esk2_0))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0))
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_166,c_0_168]) ).
cnf(c_0_173,plain,
( k1_xboole_0 = X1
| r2_hidden(esk20_2(k1_xboole_0,X1),X1)
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_169,c_0_129]) ).
cnf(c_0_174,plain,
v1_xboole_0(k1_xboole_0),
i_0_53 ).
cnf(c_0_175,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k2_filter_0(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_136]),c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_176,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_73 ).
cnf(c_0_177,plain,
( ~ r2_hidden(X1,k2_filter_0(esk1_0,esk2_0))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0))
| ~ v1_xboole_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(spm,[status(thm)],[c_0_172,c_0_157]),c_0_136]),c_0_158]),c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_178,plain,
( k1_xboole_0 = X1
| r2_hidden(esk20_2(k1_xboole_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_179,negated_conjecture,
( ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ r1_filter_2(u1_struct_0(esk1_0),k2_filter_0(esk1_0,esk2_0),k2_filter_0(esk1_0,esk2_0))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_175,c_0_165]) ).
cnf(c_0_180,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_176]) ).
cnf(c_0_181,plain,
( k2_filter_0(esk1_0,esk2_0) = k1_xboole_0
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0))
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_182,plain,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ m1_subset_1(k2_filter_0(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_183,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m1_filter_0(X2,X1) ),
i_0_37 ).
cnf(c_0_184,plain,
( k2_filter_0(esk1_0,esk2_0) = k1_xboole_0
| ~ l2_lattices(esk1_0)
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_133]),c_0_139]) ).
cnf(c_0_185,plain,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ m1_subset_1(k6_lattices(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(spm,[status(thm)],[c_0_182,c_0_134]),c_0_136]),c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_186,plain,
( v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v1_xboole_0(k2_filter_0(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_183,c_0_131]) ).
cnf(c_0_187,plain,
( k2_filter_0(esk1_0,esk2_0) = k1_xboole_0
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_143]),c_0_137])]) ).
cnf(c_0_188,plain,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_subset_1(k6_lattices(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(spm,[status(thm)],[c_0_185,c_0_157]),c_0_136]),c_0_158]),c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_189,plain,
~ v1_xboole_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(spm,[status(thm)],[c_0_186,c_0_187]),c_0_136]),c_0_174]),c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_190,plain,
~ l2_lattices(esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_133]),c_0_139]),c_0_189]) ).
cnf(c_0_191,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_143]),c_0_137])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT329+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % 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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 18:49:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 17.13/3.63 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 17.13/3.63 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 52; version: 991; iters: 150)
% 17.13/3.63 # Preprocessing time : 1.223 s
% 17.13/3.63 # Presaturation interreduction done
% 17.13/3.63
% 17.13/3.63 # Proof found!
% 17.13/3.63 # SZS status Theorem
% 17.13/3.63 # SZS output start CNFRefutation
% See solution above
% 17.13/3.63 # Training examples: 0 positive, 0 negative
% 17.13/3.63
% 17.13/3.63 # -------------------------------------------------
% 17.13/3.63 # User time : 1.168 s
% 17.13/3.63 # System time : 0.144 s
% 17.13/3.63 # Total time : 1.312 s
% 17.13/3.63 # ...preprocessing : 1.223 s
% 17.13/3.63 # ...main loop : 0.089 s
% 17.13/3.63 # Maximum resident set size: 185160 pages
% 17.13/3.63
%------------------------------------------------------------------------------