TSTP Solution File: LAT297+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT297+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 04:29:05 EDT 2022
% Result : Theorem 12.66s 3.09s
% Output : CNFRefutation 12.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of clauses : 86 ( 24 unt; 26 nHn; 86 RR)
% Number of literals : 261 ( 14 equ; 160 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 105 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_143,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-x4rzugn9/lgb.p',i_0_143) ).
cnf(i_0_5,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_5) ).
cnf(i_0_29,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| r2_hidden(esk4_2(X1,X2),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_29) ).
cnf(i_0_6,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_8) ).
cnf(i_0_1,negated_conjecture,
~ m2_lattice4(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_1) ).
cnf(i_0_14,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_14) ).
cnf(i_0_139,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_139) ).
cnf(i_0_4,negated_conjecture,
( r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0)
| ~ r2_hidden(X2,esk2_0)
| ~ r2_hidden(X1,esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_4) ).
cnf(i_0_27,plain,
( k4_lattices(X1,X2,X3) = k4_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_27) ).
cnf(i_0_30,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| r2_hidden(esk3_2(X1,X2),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_30) ).
cnf(i_0_146,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_146) ).
cnf(i_0_140,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_140) ).
cnf(i_0_144,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-x4rzugn9/lgb.p',i_0_144) ).
cnf(i_0_45,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_lattices(X1,X2,X3),u1_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-x4rzugn9/lgb.p',i_0_45) ).
cnf(i_0_11,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_11) ).
cnf(i_0_59,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_59) ).
cnf(i_0_60,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_60) ).
cnf(i_0_42,plain,
( k2_lattices(X1,X2,k1_lattices(X1,X2,X3)) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v9_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-x4rzugn9/lgb.p',i_0_42) ).
cnf(i_0_135,plain,
( k4_lattices(X1,X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_135) ).
cnf(i_0_3,negated_conjecture,
( r2_hidden(X1,esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_3) ).
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-x4rzugn9/lgb.p',i_0_16) ).
cnf(i_0_134,plain,
( k3_lattices(X1,X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_134) ).
cnf(i_0_28,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k4_lattices(X1,esk3_2(X1,X2),esk4_2(X1,X2)),X2)
| ~ r2_hidden(k3_lattices(X1,esk3_2(X1,X2),esk4_2(X1,X2)),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x4rzugn9/lgb.p',i_0_28) ).
cnf(c_0_172,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
i_0_143 ).
cnf(c_0_173,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
i_0_5 ).
cnf(c_0_174,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| r2_hidden(esk4_2(X1,X2),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_29 ).
cnf(c_0_175,negated_conjecture,
l3_lattices(esk1_0),
i_0_6 ).
cnf(c_0_176,negated_conjecture,
v10_lattices(esk1_0),
i_0_7 ).
cnf(c_0_177,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_8 ).
cnf(c_0_178,negated_conjecture,
~ m2_lattice4(esk2_0,esk1_0),
i_0_1 ).
cnf(c_0_179,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_180,negated_conjecture,
r2_hidden(esk4_2(esk1_0,esk2_0),esk2_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_173]),c_0_175]),c_0_176])]),c_0_177]),c_0_178]) ).
cnf(c_0_181,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_14 ).
cnf(c_0_182,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_139 ).
cnf(c_0_183,negated_conjecture,
( r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0)
| ~ r2_hidden(X2,esk2_0)
| ~ r2_hidden(X1,esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
i_0_4 ).
cnf(c_0_184,plain,
( k4_lattices(X1,X2,X3) = k4_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_27 ).
cnf(c_0_185,negated_conjecture,
m1_subset_1(esk4_2(esk1_0,esk2_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_186,negated_conjecture,
v6_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_175]),c_0_176])]),c_0_177]) ).
cnf(c_0_187,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| r2_hidden(esk3_2(X1,X2),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_30 ).
cnf(c_0_188,plain,
( m1_subset_1(k4_lattices(esk1_0,X1,X2),esk2_0)
| ~ r2_hidden(X2,esk2_0)
| ~ r2_hidden(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_179]),c_0_179]) ).
cnf(c_0_189,negated_conjecture,
( k4_lattices(esk1_0,X1,esk4_2(esk1_0,esk2_0)) = k4_lattices(esk1_0,esk4_2(esk1_0,esk2_0),X1)
| ~ l1_lattices(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186])]),c_0_177]) ).
cnf(c_0_190,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
i_0_146 ).
cnf(c_0_191,negated_conjecture,
r2_hidden(esk3_2(esk1_0,esk2_0),esk2_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_187,c_0_173]),c_0_175]),c_0_176])]),c_0_177]),c_0_178]) ).
cnf(c_0_192,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_140 ).
cnf(c_0_193,plain,
( m1_subset_1(k4_lattices(esk1_0,X1,esk4_2(esk1_0,esk2_0)),esk2_0)
| ~ l1_lattices(esk1_0)
| ~ r2_hidden(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_180])]),c_0_179]) ).
cnf(c_0_194,plain,
~ v1_xboole_0(esk2_0),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_195,plain,
( r2_hidden(k4_lattices(esk1_0,X1,esk4_2(esk1_0,esk2_0)),esk2_0)
| ~ l1_lattices(esk1_0)
| ~ r2_hidden(X1,esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]) ).
cnf(c_0_196,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
i_0_144 ).
cnf(c_0_197,negated_conjecture,
( m1_subset_1(k4_lattices(esk1_0,X1,esk4_2(esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| ~ r2_hidden(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_179,c_0_195]) ).
cnf(c_0_198,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_196,c_0_173]) ).
cnf(c_0_199,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_lattices(X1,X2,X3),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_45 ).
cnf(c_0_200,plain,
( r2_hidden(k4_lattices(esk1_0,X1,esk4_2(esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| ~ r2_hidden(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_197]),c_0_198]) ).
cnf(c_0_201,negated_conjecture,
( m1_subset_1(k1_lattices(esk1_0,X1,esk4_2(esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_185]),c_0_177]) ).
cnf(c_0_202,negated_conjecture,
( r2_hidden(k4_lattices(esk1_0,esk4_2(esk1_0,esk2_0),esk4_2(esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_189]),c_0_180]),c_0_185])]) ).
cnf(c_0_203,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_11 ).
cnf(c_0_204,plain,
( v1_xboole_0(u1_struct_0(esk1_0))
| r2_hidden(k1_lattices(esk1_0,X1,esk4_2(esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_192,c_0_201]) ).
cnf(c_0_205,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_59 ).
cnf(c_0_206,plain,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0) ),
inference(spm,[status(thm)],[c_0_190,c_0_202]) ).
cnf(c_0_207,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_60 ).
cnf(c_0_208,negated_conjecture,
m1_subset_1(esk3_2(esk1_0,esk2_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_179,c_0_191]) ).
cnf(c_0_209,plain,
( k2_lattices(X1,X2,k1_lattices(X1,X2,X3)) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_42 ).
cnf(c_0_210,negated_conjecture,
v9_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_175]),c_0_176])]),c_0_177]) ).
cnf(c_0_211,plain,
( k4_lattices(X1,X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_135 ).
cnf(c_0_212,plain,
( v1_xboole_0(u1_struct_0(esk1_0))
| r2_hidden(k1_lattices(esk1_0,X1,esk4_2(esk1_0,esk2_0)),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_175])]) ).
cnf(c_0_213,plain,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_175])]) ).
cnf(c_0_214,negated_conjecture,
( r2_hidden(X1,esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0) ),
i_0_3 ).
cnf(c_0_215,negated_conjecture,
( k4_lattices(esk1_0,X1,esk3_2(esk1_0,esk2_0)) = k4_lattices(esk1_0,esk3_2(esk1_0,esk2_0),X1)
| ~ l1_lattices(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_208]),c_0_186])]),c_0_177]) ).
cnf(c_0_216,negated_conjecture,
( k2_lattices(esk1_0,X1,k1_lattices(esk1_0,X1,esk4_2(esk1_0,esk2_0))) = X1
| ~ m1_subset_1(X1,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_209,c_0_185]),c_0_210]),c_0_175])]),c_0_177]) ).
cnf(c_0_217,plain,
( k2_lattices(esk1_0,X1,k1_lattices(esk1_0,X2,esk4_2(esk1_0,esk2_0))) = k4_lattices(esk1_0,X1,k1_lattices(esk1_0,X2,esk4_2(esk1_0,esk2_0)))
| ~ l2_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_201]),c_0_186])]),c_0_177]) ).
cnf(c_0_218,negated_conjecture,
r2_hidden(k1_lattices(esk1_0,esk3_2(esk1_0,esk2_0),esk4_2(esk1_0,esk2_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_208]),c_0_213]) ).
cnf(c_0_219,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_16 ).
cnf(c_0_220,negated_conjecture,
( r2_hidden(X1,esk2_0)
| ~ l1_lattices(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk3_2(esk1_0,esk2_0),X1),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_208])]) ).
cnf(c_0_221,negated_conjecture,
( k4_lattices(esk1_0,X1,k1_lattices(esk1_0,X1,esk4_2(esk1_0,esk2_0))) = X1
| ~ l2_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_222,plain,
m1_subset_1(k1_lattices(esk1_0,esk3_2(esk1_0,esk2_0),esk4_2(esk1_0,esk2_0)),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_182,c_0_218]) ).
cnf(c_0_223,plain,
( k3_lattices(X1,X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_134 ).
cnf(c_0_224,negated_conjecture,
v4_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_175]),c_0_176])]),c_0_177]) ).
cnf(c_0_225,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k4_lattices(X1,esk3_2(X1,X2),esk4_2(X1,X2)),X2)
| ~ r2_hidden(k3_lattices(X1,esk3_2(X1,X2),esk4_2(X1,X2)),X2) ),
i_0_28 ).
cnf(c_0_226,plain,
( r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0)
| ~ r2_hidden(X2,esk2_0)
| ~ r2_hidden(X1,esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_188]),c_0_194]) ).
cnf(c_0_227,negated_conjecture,
( r2_hidden(k1_lattices(esk1_0,esk3_2(esk1_0,esk2_0),esk4_2(esk1_0,esk2_0)),esk2_0)
| ~ l2_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222]),c_0_191]),c_0_208])]) ).
cnf(c_0_228,negated_conjecture,
( k1_lattices(esk1_0,X1,esk4_2(esk1_0,esk2_0)) = k3_lattices(esk1_0,X1,esk4_2(esk1_0,esk2_0))
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_185]),c_0_224])]),c_0_177]) ).
cnf(c_0_229,plain,
~ r2_hidden(k3_lattices(esk1_0,esk3_2(esk1_0,esk2_0),esk4_2(esk1_0,esk2_0)),esk2_0),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_175]),c_0_176]),c_0_173]),c_0_180]),c_0_191])]),c_0_177]),c_0_178]) ).
cnf(c_0_230,negated_conjecture,
( ~ l2_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_208])]),c_0_229]) ).
cnf(c_0_231,plain,
~ l1_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_205]),c_0_175])]) ).
cnf(c_0_232,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_207]),c_0_175])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LAT297+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 29 09:09:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 # ENIGMATIC: Selected complete mode:
% 12.66/3.09 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.66/3.09 # No SInE strategy applied
% 12.66/3.09 # Trying AutoSched0 for 150 seconds
% 12.66/3.09 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 12.66/3.09 # and selection function SelectComplexExceptUniqMaxHorn.
% 12.66/3.09 #
% 12.66/3.09 # Preprocessing time : 0.025 s
% 12.66/3.09 # Presaturation interreduction done
% 12.66/3.09
% 12.66/3.09 # Proof found!
% 12.66/3.09 # SZS status Theorem
% 12.66/3.09 # SZS output start CNFRefutation
% See solution above
% 12.66/3.09 # Training examples: 0 positive, 0 negative
% 12.66/3.09
% 12.66/3.09 # -------------------------------------------------
% 12.66/3.09 # User time : 0.462 s
% 12.66/3.09 # System time : 0.023 s
% 12.66/3.09 # Total time : 0.485 s
% 12.66/3.09 # Maximum resident set size: 7128 pages
% 12.66/3.09
%------------------------------------------------------------------------------