TSTP Solution File: LAT331+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT331+3 : 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 04:29:47 EDT 2022
% Result : Theorem 12.71s 5.03s
% Output : CNFRefutation 12.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 28
% Syntax : Number of clauses : 105 ( 58 unt; 22 nHn; 105 RR)
% Number of literals : 212 ( 50 equ; 98 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1433,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_1433) ).
cnf(i_0_1435,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_1435) ).
cnf(i_0_752,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_752) ).
cnf(i_0_3362,plain,
( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_3362) ).
cnf(i_0_5613,negated_conjecture,
l3_lattices(esk739_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5613) ).
cnf(i_0_5615,negated_conjecture,
~ v3_struct_0(esk739_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5615) ).
cnf(i_0_5610,negated_conjecture,
l3_lattices(esk740_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5610) ).
cnf(i_0_5612,negated_conjecture,
~ v3_struct_0(esk740_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5612) ).
cnf(i_0_1281,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_1281) ).
cnf(i_0_753,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_753) ).
cnf(i_0_1616,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_1616) ).
cnf(i_0_5919,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = k1_lattice2(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5919) ).
cnf(i_0_5614,negated_conjecture,
v10_lattices(esk739_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5614) ).
cnf(i_0_5607,negated_conjecture,
g3_lattices(u1_struct_0(esk740_0),u2_lattices(esk740_0),u1_lattices(esk740_0)) = g3_lattices(u1_struct_0(esk739_0),u2_lattices(esk739_0),u1_lattices(esk739_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5607) ).
cnf(i_0_2580,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_2580) ).
cnf(i_0_5609,negated_conjecture,
m1_filter_2(esk741_0,esk739_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5609) ).
cnf(i_0_3360,plain,
( u2_lattices(k1_lattice2(X1)) = u1_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_3360) ).
cnf(i_0_5611,negated_conjecture,
v10_lattices(esk740_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5611) ).
cnf(i_0_3361,plain,
( u1_lattices(k1_lattice2(X1)) = u2_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_3361) ).
cnf(i_0_5608,negated_conjecture,
m1_filter_2(esk742_0,esk740_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5608) ).
cnf(i_0_5606,negated_conjecture,
esk741_0 = esk742_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5606) ).
cnf(i_0_5475,plain,
( u1_struct_0(k8_filter_0(X1,X2)) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5475) ).
cnf(i_0_1405,plain,
( v3_struct_0(X1)
| l3_lattices(k8_filter_0(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_1405) ).
cnf(i_0_7,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_7) ).
cnf(i_0_1658,plain,
( v3_struct_0(X1)
| v3_lattices(k8_filter_0(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_1658) ).
cnf(i_0_5474,plain,
( u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5474) ).
cnf(i_0_5473,plain,
( u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5473) ).
cnf(i_0_5605,negated_conjecture,
k8_filter_0(esk740_0,esk742_0) != k8_filter_0(esk739_0,esk741_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tu7mqy_w/lgb.p',i_0_5605) ).
cnf(c_0_5948,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
i_0_1433 ).
cnf(c_0_5949,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_1435 ).
cnf(c_0_5950,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_752 ).
cnf(c_0_5951,plain,
( l1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_5948,c_0_5949]) ).
cnf(c_0_5952,plain,
( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
i_0_3362 ).
cnf(c_0_5953,negated_conjecture,
l3_lattices(esk739_0),
i_0_5613 ).
cnf(c_0_5954,negated_conjecture,
~ v3_struct_0(esk739_0),
i_0_5615 ).
cnf(c_0_5955,negated_conjecture,
l3_lattices(esk740_0),
i_0_5610 ).
cnf(c_0_5956,negated_conjecture,
~ v3_struct_0(esk740_0),
i_0_5612 ).
cnf(c_0_5957,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_5950,c_0_5951]) ).
cnf(c_0_5958,negated_conjecture,
u1_struct_0(k1_lattice2(esk739_0)) = u1_struct_0(esk739_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5952,c_0_5953]),c_0_5954]) ).
cnf(c_0_5959,negated_conjecture,
u1_struct_0(k1_lattice2(esk740_0)) = u1_struct_0(esk740_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5952,c_0_5955]),c_0_5956]) ).
cnf(c_0_5960,plain,
( v3_struct_0(k1_lattice2(esk739_0))
| ~ v1_xboole_0(u1_struct_0(esk739_0))
| ~ l3_lattices(k1_lattice2(esk739_0)) ),
inference(spm,[status(thm)],[c_0_5957,c_0_5958]) ).
cnf(c_0_5961,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_1281 ).
cnf(c_0_5962,plain,
( v3_struct_0(k1_lattice2(esk740_0))
| ~ v1_xboole_0(u1_struct_0(esk740_0))
| ~ l3_lattices(k1_lattice2(esk740_0)) ),
inference(spm,[status(thm)],[c_0_5957,c_0_5959]) ).
cnf(c_0_5963,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
i_0_753 ).
cnf(c_0_5964,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_1616 ).
cnf(c_0_5965,plain,
( v3_struct_0(k1_lattice2(esk739_0))
| ~ v1_xboole_0(u1_struct_0(esk739_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5960,c_0_5961]),c_0_5953])]) ).
cnf(c_0_5966,plain,
( v3_struct_0(k1_lattice2(esk740_0))
| ~ v1_xboole_0(u1_struct_0(esk740_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5962,c_0_5961]),c_0_5955])]) ).
cnf(c_0_5967,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = k1_lattice2(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_5919 ).
cnf(c_0_5968,negated_conjecture,
v10_lattices(esk739_0),
i_0_5614 ).
cnf(c_0_5969,negated_conjecture,
g3_lattices(u1_struct_0(esk740_0),u2_lattices(esk740_0),u1_lattices(esk740_0)) = g3_lattices(u1_struct_0(esk739_0),u2_lattices(esk739_0),u1_lattices(esk739_0)),
i_0_5607 ).
cnf(c_0_5970,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_5963,c_0_5951]) ).
cnf(c_0_5971,plain,
~ v1_xboole_0(u1_struct_0(esk739_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5964,c_0_5965]),c_0_5953])]),c_0_5954]) ).
cnf(c_0_5972,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
i_0_2580 ).
cnf(c_0_5973,negated_conjecture,
m1_filter_2(esk741_0,esk739_0),
i_0_5609 ).
cnf(c_0_5974,plain,
~ v1_xboole_0(u1_struct_0(esk740_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5964,c_0_5966]),c_0_5955])]),c_0_5956]) ).
cnf(c_0_5975,plain,
( u2_lattices(k1_lattice2(X1)) = u1_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
i_0_3360 ).
cnf(c_0_5976,negated_conjecture,
v10_lattices(esk740_0),
i_0_5611 ).
cnf(c_0_5977,negated_conjecture,
g3_lattices(u1_struct_0(esk740_0),u2_lattices(esk740_0),u1_lattices(esk740_0)) = k1_lattice2(k1_lattice2(esk739_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5967,c_0_5968]),c_0_5969]),c_0_5953])]),c_0_5954]) ).
cnf(c_0_5978,plain,
( u1_lattices(k1_lattice2(X1)) = u2_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
i_0_3361 ).
cnf(c_0_5979,plain,
( ~ l3_lattices(k1_lattice2(esk739_0))
| ~ v3_struct_0(k1_lattice2(esk739_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5970,c_0_5958]),c_0_5971]) ).
cnf(c_0_5980,negated_conjecture,
m1_filter_2(esk742_0,esk740_0),
i_0_5608 ).
cnf(c_0_5981,negated_conjecture,
esk741_0 = esk742_0,
i_0_5606 ).
cnf(c_0_5982,plain,
( u1_struct_0(k8_filter_0(X1,X2)) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_5475 ).
cnf(c_0_5983,negated_conjecture,
m1_filter_0(esk741_0,esk739_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5972,c_0_5973]),c_0_5968]),c_0_5953])]),c_0_5954]) ).
cnf(c_0_5984,plain,
( v3_struct_0(X1)
| l3_lattices(k8_filter_0(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_1405 ).
cnf(c_0_5985,plain,
( ~ l3_lattices(k1_lattice2(esk740_0))
| ~ v3_struct_0(k1_lattice2(esk740_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5970,c_0_5959]),c_0_5974]) ).
cnf(c_0_5986,plain,
( u2_lattices(k1_lattice2(k1_lattice2(X1))) = u1_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_5975,c_0_5961]) ).
cnf(c_0_5987,negated_conjecture,
k1_lattice2(k1_lattice2(esk739_0)) = k1_lattice2(k1_lattice2(esk740_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5967,c_0_5976]),c_0_5955])]),c_0_5956]),c_0_5977]) ).
cnf(c_0_5988,negated_conjecture,
u1_lattices(k1_lattice2(esk739_0)) = u2_lattices(esk739_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5978,c_0_5953]),c_0_5954]) ).
cnf(c_0_5989,plain,
~ v3_struct_0(k1_lattice2(esk739_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5979,c_0_5961]),c_0_5953])]) ).
cnf(c_0_5990,negated_conjecture,
m1_filter_2(esk741_0,esk740_0),
inference(rw,[status(thm)],[c_0_5980,c_0_5981]) ).
cnf(c_0_5991,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
i_0_7 ).
cnf(c_0_5992,negated_conjecture,
u1_struct_0(k8_filter_0(esk739_0,esk741_0)) = esk741_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5982,c_0_5983]),c_0_5968]),c_0_5953])]),c_0_5954]) ).
cnf(c_0_5993,negated_conjecture,
l3_lattices(k8_filter_0(esk739_0,esk741_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5984,c_0_5983]),c_0_5968]),c_0_5953])]),c_0_5954]) ).
cnf(c_0_5994,plain,
( v3_struct_0(X1)
| v3_lattices(k8_filter_0(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_1658 ).
cnf(c_0_5995,plain,
( u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_5474 ).
cnf(c_0_5996,negated_conjecture,
u1_lattices(k1_lattice2(esk740_0)) = u2_lattices(esk740_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5978,c_0_5955]),c_0_5956]) ).
cnf(c_0_5997,plain,
~ v3_struct_0(k1_lattice2(esk740_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5985,c_0_5961]),c_0_5955])]) ).
cnf(c_0_5998,negated_conjecture,
u2_lattices(k1_lattice2(k1_lattice2(esk740_0))) = u2_lattices(esk739_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5986,c_0_5953]),c_0_5987]),c_0_5988]),c_0_5989]) ).
cnf(c_0_5999,negated_conjecture,
m1_filter_0(esk741_0,esk740_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5972,c_0_5990]),c_0_5976]),c_0_5955])]),c_0_5956]) ).
cnf(c_0_6000,plain,
( u1_lattices(k1_lattice2(k1_lattice2(X1))) = u2_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_5978,c_0_5961]) ).
cnf(c_0_6001,negated_conjecture,
u2_lattices(k1_lattice2(esk739_0)) = u1_lattices(esk739_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5975,c_0_5953]),c_0_5954]) ).
cnf(c_0_6002,plain,
( g3_lattices(esk741_0,u2_lattices(k8_filter_0(esk739_0,esk741_0)),u1_lattices(k8_filter_0(esk739_0,esk741_0))) = k8_filter_0(esk739_0,esk741_0)
| ~ v3_lattices(k8_filter_0(esk739_0,esk741_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5991,c_0_5992]),c_0_5993])]) ).
cnf(c_0_6003,negated_conjecture,
v3_lattices(k8_filter_0(esk739_0,esk741_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5994,c_0_5983]),c_0_5968]),c_0_5953])]),c_0_5954]) ).
cnf(c_0_6004,negated_conjecture,
k1_realset1(u2_lattices(esk739_0),esk741_0) = u2_lattices(k8_filter_0(esk739_0,esk741_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5995,c_0_5983]),c_0_5968]),c_0_5953])]),c_0_5954]) ).
cnf(c_0_6005,negated_conjecture,
u2_lattices(esk739_0) = u2_lattices(esk740_0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5986,c_0_5955]),c_0_5996]),c_0_5997]),c_0_5998]) ).
cnf(c_0_6006,negated_conjecture,
k1_realset1(u2_lattices(esk740_0),esk741_0) = u2_lattices(k8_filter_0(esk740_0,esk741_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5995,c_0_5999]),c_0_5976]),c_0_5955])]),c_0_5956]) ).
cnf(c_0_6007,plain,
( u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_5473 ).
cnf(c_0_6008,negated_conjecture,
u2_lattices(k1_lattice2(esk740_0)) = u1_lattices(esk740_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5975,c_0_5955]),c_0_5956]) ).
cnf(c_0_6009,negated_conjecture,
u1_lattices(k1_lattice2(k1_lattice2(esk740_0))) = u1_lattices(esk739_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6000,c_0_5953]),c_0_5987]),c_0_6001]),c_0_5989]) ).
cnf(c_0_6010,negated_conjecture,
u1_struct_0(k8_filter_0(esk740_0,esk741_0)) = esk741_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5982,c_0_5999]),c_0_5976]),c_0_5955])]),c_0_5956]) ).
cnf(c_0_6011,negated_conjecture,
l3_lattices(k8_filter_0(esk740_0,esk741_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5984,c_0_5999]),c_0_5976]),c_0_5955])]),c_0_5956]) ).
cnf(c_0_6012,plain,
g3_lattices(esk741_0,u2_lattices(k8_filter_0(esk739_0,esk741_0)),u1_lattices(k8_filter_0(esk739_0,esk741_0))) = k8_filter_0(esk739_0,esk741_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6002,c_0_6003])]) ).
cnf(c_0_6013,negated_conjecture,
u2_lattices(k8_filter_0(esk739_0,esk741_0)) = u2_lattices(k8_filter_0(esk740_0,esk741_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6004,c_0_6005]),c_0_6006]) ).
cnf(c_0_6014,negated_conjecture,
k1_realset1(u1_lattices(esk739_0),esk741_0) = u1_lattices(k8_filter_0(esk739_0,esk741_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6007,c_0_5983]),c_0_5968]),c_0_5953])]),c_0_5954]) ).
cnf(c_0_6015,negated_conjecture,
u1_lattices(esk739_0) = u1_lattices(esk740_0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6000,c_0_5955]),c_0_6008]),c_0_5997]),c_0_6009]) ).
cnf(c_0_6016,negated_conjecture,
k1_realset1(u1_lattices(esk740_0),esk741_0) = u1_lattices(k8_filter_0(esk740_0,esk741_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6007,c_0_5999]),c_0_5976]),c_0_5955])]),c_0_5956]) ).
cnf(c_0_6017,plain,
( g3_lattices(esk741_0,u2_lattices(k8_filter_0(esk740_0,esk741_0)),u1_lattices(k8_filter_0(esk740_0,esk741_0))) = k8_filter_0(esk740_0,esk741_0)
| ~ v3_lattices(k8_filter_0(esk740_0,esk741_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5991,c_0_6010]),c_0_6011])]) ).
cnf(c_0_6018,negated_conjecture,
v3_lattices(k8_filter_0(esk740_0,esk741_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5994,c_0_5999]),c_0_5976]),c_0_5955])]),c_0_5956]) ).
cnf(c_0_6019,negated_conjecture,
k8_filter_0(esk740_0,esk742_0) != k8_filter_0(esk739_0,esk741_0),
i_0_5605 ).
cnf(c_0_6020,plain,
g3_lattices(esk741_0,u2_lattices(k8_filter_0(esk740_0,esk741_0)),u1_lattices(k8_filter_0(esk739_0,esk741_0))) = k8_filter_0(esk739_0,esk741_0),
inference(rw,[status(thm)],[c_0_6012,c_0_6013]) ).
cnf(c_0_6021,negated_conjecture,
u1_lattices(k8_filter_0(esk739_0,esk741_0)) = u1_lattices(k8_filter_0(esk740_0,esk741_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6014,c_0_6015]),c_0_6016]) ).
cnf(c_0_6022,plain,
g3_lattices(esk741_0,u2_lattices(k8_filter_0(esk740_0,esk741_0)),u1_lattices(k8_filter_0(esk740_0,esk741_0))) = k8_filter_0(esk740_0,esk741_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6017,c_0_6018])]) ).
cnf(c_0_6023,negated_conjecture,
k8_filter_0(esk739_0,esk741_0) != k8_filter_0(esk740_0,esk741_0),
inference(rw,[status(thm)],[c_0_6019,c_0_5981]) ).
cnf(c_0_6024,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6020,c_0_6021]),c_0_6022]),c_0_6023]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LAT331+3 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n014.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 : Thu Jun 30 03:22:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.68/0.90 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.90 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.68/0.90 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.68/0.90 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 12.71/5.03 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.71/5.03 # No SInE strategy applied
% 12.71/5.03 # Trying AutoSched0 for 149 seconds
% 12.71/5.03 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 12.71/5.03 # and selection function SelectComplexExceptUniqMaxHorn.
% 12.71/5.03 #
% 12.71/5.03 # Preprocessing time : 0.033 s
% 12.71/5.03 # Presaturation interreduction done
% 12.71/5.03
% 12.71/5.03 # Proof found!
% 12.71/5.03 # SZS status Theorem
% 12.71/5.03 # SZS output start CNFRefutation
% See solution above
% 12.71/5.03 # Training examples: 0 positive, 0 negative
% 12.71/5.03
% 12.71/5.03 # -------------------------------------------------
% 12.71/5.03 # User time : 0.171 s
% 12.71/5.03 # System time : 0.014 s
% 12.71/5.03 # Total time : 0.185 s
% 12.71/5.03 # Maximum resident set size: 7128 pages
% 12.71/5.03
%------------------------------------------------------------------------------