TSTP Solution File: LAT295+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT295+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 04:29:03 EDT 2022
% Result : Theorem 18.54s 5.81s
% Output : CNFRefutation 18.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of clauses : 106 ( 32 unt; 39 nHn; 106 RR)
% Number of literals : 277 ( 81 equ; 140 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-6 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3335,plain,
( u2_lattices(k1_lattice2(X1)) = u1_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_3335) ).
cnf(i_0_6033,negated_conjecture,
l3_lattices(esk844_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_6033) ).
cnf(i_0_6034,negated_conjecture,
~ v3_struct_0(esk844_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_6034) ).
cnf(i_0_3337,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-poq5bmc5/lgb.p',i_0_3337) ).
cnf(i_0_3336,plain,
( u1_lattices(k1_lattice2(X1)) = u2_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_3336) ).
cnf(i_0_6031,negated_conjecture,
l3_lattices(esk845_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_6031) ).
cnf(i_0_6032,negated_conjecture,
~ v3_struct_0(esk845_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_6032) ).
cnf(i_0_945,plain,
( g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) = k1_lattice2(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_945) ).
cnf(i_0_6030,negated_conjecture,
g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0)) = g3_lattices(u1_struct_0(esk844_0),u2_lattices(esk844_0),u1_lattices(esk844_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_6030) ).
cnf(i_0_1417,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_1417) ).
cnf(i_0_1667,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_1667) ).
cnf(i_0_6026,negated_conjecture,
m1_subset_1(esk849_0,u1_struct_0(esk845_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_6026) ).
cnf(i_0_6024,negated_conjecture,
esk847_0 = esk849_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_6024) ).
cnf(i_0_807,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-poq5bmc5/lgb.p',i_0_807) ).
cnf(i_0_6023,negated_conjecture,
( r1_lattices(esk844_0,esk846_0,esk847_0)
| r1_lattices(esk845_0,esk848_0,esk849_0)
| k1_lattices(esk845_0,esk848_0,esk849_0) != k1_lattices(esk844_0,esk846_0,esk847_0)
| k2_lattices(esk845_0,esk848_0,esk849_0) != k2_lattices(esk844_0,esk846_0,esk847_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_6023) ).
cnf(i_0_6025,negated_conjecture,
esk846_0 = esk848_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_6025) ).
cnf(i_0_946,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-poq5bmc5/lgb.p',i_0_946) ).
cnf(i_0_6027,negated_conjecture,
m1_subset_1(esk848_0,u1_struct_0(esk845_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_6027) ).
cnf(i_0_1525,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_1525) ).
cnf(i_0_1526,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_1526) ).
cnf(i_0_1024,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-poq5bmc5/lgb.p',i_0_1024) ).
cnf(i_0_1025,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-poq5bmc5/lgb.p',i_0_1025) ).
cnf(i_0_6028,negated_conjecture,
m1_subset_1(esk847_0,u1_struct_0(esk844_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_6028) ).
cnf(i_0_6020,negated_conjecture,
( k1_lattices(esk845_0,esk848_0,esk849_0) != k1_lattices(esk844_0,esk846_0,esk847_0)
| k2_lattices(esk845_0,esk848_0,esk849_0) != k2_lattices(esk844_0,esk846_0,esk847_0)
| ~ r1_lattices(esk844_0,esk846_0,esk847_0)
| ~ r1_lattices(esk845_0,esk848_0,esk849_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-poq5bmc5/lgb.p',i_0_6020) ).
cnf(c_0_6059,plain,
( u2_lattices(k1_lattice2(X1)) = u1_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
i_0_3335 ).
cnf(c_0_6060,negated_conjecture,
l3_lattices(esk844_0),
i_0_6033 ).
cnf(c_0_6061,negated_conjecture,
~ v3_struct_0(esk844_0),
i_0_6034 ).
cnf(c_0_6062,plain,
( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
i_0_3337 ).
cnf(c_0_6063,plain,
( u1_lattices(k1_lattice2(X1)) = u2_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
i_0_3336 ).
cnf(c_0_6064,negated_conjecture,
l3_lattices(esk845_0),
i_0_6031 ).
cnf(c_0_6065,negated_conjecture,
~ v3_struct_0(esk845_0),
i_0_6032 ).
cnf(c_0_6066,plain,
( g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) = k1_lattice2(X1)
| ~ l3_lattices(X1) ),
i_0_945 ).
cnf(c_0_6067,negated_conjecture,
u2_lattices(k1_lattice2(esk844_0)) = u1_lattices(esk844_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6059,c_0_6060]),c_0_6061]) ).
cnf(c_0_6068,negated_conjecture,
u1_struct_0(k1_lattice2(esk844_0)) = u1_struct_0(esk844_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6062,c_0_6060]),c_0_6061]) ).
cnf(c_0_6069,negated_conjecture,
u1_lattices(k1_lattice2(esk844_0)) = u2_lattices(esk844_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6063,c_0_6060]),c_0_6061]) ).
cnf(c_0_6070,negated_conjecture,
g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0)) = g3_lattices(u1_struct_0(esk844_0),u2_lattices(esk844_0),u1_lattices(esk844_0)),
i_0_6030 ).
cnf(c_0_6071,negated_conjecture,
u2_lattices(k1_lattice2(esk845_0)) = u1_lattices(esk845_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6059,c_0_6064]),c_0_6065]) ).
cnf(c_0_6072,negated_conjecture,
u1_struct_0(k1_lattice2(esk845_0)) = u1_struct_0(esk845_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6062,c_0_6064]),c_0_6065]) ).
cnf(c_0_6073,negated_conjecture,
u1_lattices(k1_lattice2(esk845_0)) = u2_lattices(esk845_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6063,c_0_6064]),c_0_6065]) ).
cnf(c_0_6074,negated_conjecture,
( k1_lattice2(k1_lattice2(esk844_0)) = g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0))
| ~ l3_lattices(k1_lattice2(esk844_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6066,c_0_6067]),c_0_6068]),c_0_6069]),c_0_6070]) ).
cnf(c_0_6075,negated_conjecture,
( k1_lattice2(k1_lattice2(esk845_0)) = g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0))
| ~ l3_lattices(k1_lattice2(esk845_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6066,c_0_6071]),c_0_6072]),c_0_6073]) ).
cnf(c_0_6076,plain,
( u1_struct_0(g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0))) = u1_struct_0(esk844_0)
| v3_struct_0(k1_lattice2(esk844_0))
| ~ l3_lattices(k1_lattice2(esk844_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6062,c_0_6074]),c_0_6068]) ).
cnf(c_0_6077,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_1417 ).
cnf(c_0_6078,plain,
( u1_struct_0(g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0))) = u1_struct_0(esk845_0)
| v3_struct_0(k1_lattice2(esk845_0))
| ~ l3_lattices(k1_lattice2(esk845_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6062,c_0_6075]),c_0_6072]) ).
cnf(c_0_6079,plain,
( u2_lattices(g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0))) = u2_lattices(esk844_0)
| v3_struct_0(k1_lattice2(esk844_0))
| ~ l3_lattices(k1_lattice2(esk844_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6059,c_0_6074]),c_0_6069]) ).
cnf(c_0_6080,plain,
( u2_lattices(g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0))) = u2_lattices(esk845_0)
| v3_struct_0(k1_lattice2(esk845_0))
| ~ l3_lattices(k1_lattice2(esk845_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6059,c_0_6075]),c_0_6073]) ).
cnf(c_0_6081,plain,
( u1_struct_0(g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0))) = u1_struct_0(esk844_0)
| v3_struct_0(k1_lattice2(esk844_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6076,c_0_6077]),c_0_6060])]) ).
cnf(c_0_6082,plain,
( u1_struct_0(g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0))) = u1_struct_0(esk845_0)
| v3_struct_0(k1_lattice2(esk845_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6078,c_0_6077]),c_0_6064])]) ).
cnf(c_0_6083,plain,
( u2_lattices(g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0))) = u2_lattices(esk844_0)
| v3_struct_0(k1_lattice2(esk844_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6079,c_0_6077]),c_0_6060])]) ).
cnf(c_0_6084,plain,
( u2_lattices(g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0))) = u2_lattices(esk845_0)
| v3_struct_0(k1_lattice2(esk845_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6080,c_0_6077]),c_0_6064])]) ).
cnf(c_0_6085,plain,
( u1_lattices(g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0))) = u1_lattices(esk844_0)
| v3_struct_0(k1_lattice2(esk844_0))
| ~ l3_lattices(k1_lattice2(esk844_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6063,c_0_6074]),c_0_6067]) ).
cnf(c_0_6086,plain,
( u1_lattices(g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0))) = u1_lattices(esk845_0)
| v3_struct_0(k1_lattice2(esk845_0))
| ~ l3_lattices(k1_lattice2(esk845_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6063,c_0_6075]),c_0_6071]) ).
cnf(c_0_6087,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_1667 ).
cnf(c_0_6088,plain,
( u1_struct_0(esk844_0) = u1_struct_0(esk845_0)
| v3_struct_0(k1_lattice2(esk845_0))
| v3_struct_0(k1_lattice2(esk844_0)) ),
inference(spm,[status(thm)],[c_0_6081,c_0_6082]) ).
cnf(c_0_6089,plain,
( u2_lattices(esk844_0) = u2_lattices(esk845_0)
| v3_struct_0(k1_lattice2(esk845_0))
| v3_struct_0(k1_lattice2(esk844_0)) ),
inference(spm,[status(thm)],[c_0_6083,c_0_6084]) ).
cnf(c_0_6090,plain,
( u1_lattices(g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0))) = u1_lattices(esk844_0)
| v3_struct_0(k1_lattice2(esk844_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6085,c_0_6077]),c_0_6060])]) ).
cnf(c_0_6091,plain,
( u1_lattices(g3_lattices(u1_struct_0(esk845_0),u2_lattices(esk845_0),u1_lattices(esk845_0))) = u1_lattices(esk845_0)
| v3_struct_0(k1_lattice2(esk845_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6086,c_0_6077]),c_0_6064])]) ).
cnf(c_0_6092,negated_conjecture,
m1_subset_1(esk849_0,u1_struct_0(esk845_0)),
i_0_6026 ).
cnf(c_0_6093,negated_conjecture,
esk847_0 = esk849_0,
i_0_6024 ).
cnf(c_0_6094,plain,
( u1_struct_0(esk844_0) = u1_struct_0(esk845_0)
| v3_struct_0(k1_lattice2(esk845_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6087,c_0_6088]),c_0_6060])]),c_0_6061]) ).
cnf(c_0_6095,plain,
( u2_lattices(esk844_0) = u2_lattices(esk845_0)
| v3_struct_0(k1_lattice2(esk845_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6087,c_0_6089]),c_0_6060])]),c_0_6061]) ).
cnf(c_0_6096,plain,
( u1_lattices(esk844_0) = u1_lattices(esk845_0)
| v3_struct_0(k1_lattice2(esk845_0))
| v3_struct_0(k1_lattice2(esk844_0)) ),
inference(spm,[status(thm)],[c_0_6090,c_0_6091]) ).
cnf(c_0_6097,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_807 ).
cnf(c_0_6098,negated_conjecture,
m1_subset_1(esk847_0,u1_struct_0(esk845_0)),
inference(rw,[status(thm)],[c_0_6092,c_0_6093]) ).
cnf(c_0_6099,plain,
u1_struct_0(esk844_0) = u1_struct_0(esk845_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6087,c_0_6094]),c_0_6064])]),c_0_6065]) ).
cnf(c_0_6100,plain,
u2_lattices(esk844_0) = u2_lattices(esk845_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6087,c_0_6095]),c_0_6064])]),c_0_6065]) ).
cnf(c_0_6101,plain,
( u1_lattices(esk844_0) = u1_lattices(esk845_0)
| v3_struct_0(k1_lattice2(esk845_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6087,c_0_6096]),c_0_6060])]),c_0_6061]) ).
cnf(c_0_6102,negated_conjecture,
( r1_lattices(esk844_0,esk846_0,esk847_0)
| r1_lattices(esk845_0,esk848_0,esk849_0)
| k1_lattices(esk845_0,esk848_0,esk849_0) != k1_lattices(esk844_0,esk846_0,esk847_0)
| k2_lattices(esk845_0,esk848_0,esk849_0) != k2_lattices(esk844_0,esk846_0,esk847_0) ),
i_0_6023 ).
cnf(c_0_6103,negated_conjecture,
esk846_0 = esk848_0,
i_0_6025 ).
cnf(c_0_6104,negated_conjecture,
( k2_binop_1(u1_struct_0(esk845_0),u1_struct_0(esk845_0),u1_struct_0(esk845_0),u2_lattices(esk845_0),X1,esk847_0) = k1_lattices(esk845_0,X1,esk847_0)
| ~ l2_lattices(esk845_0)
| ~ m1_subset_1(X1,u1_struct_0(esk845_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6097,c_0_6098]),c_0_6065]) ).
cnf(c_0_6105,plain,
( k2_binop_1(u1_struct_0(esk845_0),u1_struct_0(esk845_0),u1_struct_0(esk845_0),u2_lattices(esk845_0),X1,X2) = k1_lattices(esk844_0,X1,X2)
| ~ l2_lattices(esk844_0)
| ~ m1_subset_1(X2,u1_struct_0(esk845_0))
| ~ m1_subset_1(X1,u1_struct_0(esk845_0)) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6097,c_0_6099]),c_0_6061]),c_0_6100]) ).
cnf(c_0_6106,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_946 ).
cnf(c_0_6107,plain,
u1_lattices(esk844_0) = u1_lattices(esk845_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6087,c_0_6101]),c_0_6064])]),c_0_6065]) ).
cnf(c_0_6108,negated_conjecture,
( r1_lattices(esk844_0,esk848_0,esk847_0)
| r1_lattices(esk845_0,esk848_0,esk847_0)
| k1_lattices(esk844_0,esk848_0,esk847_0) != k1_lattices(esk845_0,esk848_0,esk847_0)
| k2_lattices(esk844_0,esk848_0,esk847_0) != k2_lattices(esk845_0,esk848_0,esk847_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_6102,c_0_6093]),c_0_6103]),c_0_6103]),c_0_6093]),c_0_6103]),c_0_6093]) ).
cnf(c_0_6109,negated_conjecture,
( k1_lattices(esk844_0,X1,esk847_0) = k1_lattices(esk845_0,X1,esk847_0)
| ~ l2_lattices(esk845_0)
| ~ l2_lattices(esk844_0)
| ~ m1_subset_1(X1,u1_struct_0(esk845_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6104,c_0_6105]),c_0_6098])]) ).
cnf(c_0_6110,negated_conjecture,
m1_subset_1(esk848_0,u1_struct_0(esk845_0)),
i_0_6027 ).
cnf(c_0_6111,negated_conjecture,
( k2_binop_1(u1_struct_0(esk845_0),u1_struct_0(esk845_0),u1_struct_0(esk845_0),u1_lattices(esk845_0),X1,esk847_0) = k2_lattices(esk845_0,X1,esk847_0)
| ~ l1_lattices(esk845_0)
| ~ m1_subset_1(X1,u1_struct_0(esk845_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6106,c_0_6098]),c_0_6065]) ).
cnf(c_0_6112,plain,
( k2_binop_1(u1_struct_0(esk845_0),u1_struct_0(esk845_0),u1_struct_0(esk845_0),u1_lattices(esk845_0),X1,X2) = k2_lattices(esk844_0,X1,X2)
| ~ l1_lattices(esk844_0)
| ~ m1_subset_1(X2,u1_struct_0(esk845_0))
| ~ m1_subset_1(X1,u1_struct_0(esk845_0)) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6106,c_0_6099]),c_0_6061]),c_0_6107]) ).
cnf(c_0_6113,negated_conjecture,
( r1_lattices(esk844_0,esk848_0,esk847_0)
| r1_lattices(esk845_0,esk848_0,esk847_0)
| k2_lattices(esk844_0,esk848_0,esk847_0) != k2_lattices(esk845_0,esk848_0,esk847_0)
| ~ l2_lattices(esk845_0)
| ~ l2_lattices(esk844_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6108,c_0_6109]),c_0_6110])]) ).
cnf(c_0_6114,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_1525 ).
cnf(c_0_6115,negated_conjecture,
( k2_lattices(esk844_0,X1,esk847_0) = k2_lattices(esk845_0,X1,esk847_0)
| ~ l1_lattices(esk845_0)
| ~ l1_lattices(esk844_0)
| ~ m1_subset_1(X1,u1_struct_0(esk845_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6111,c_0_6112]),c_0_6098])]) ).
cnf(c_0_6116,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_1526 ).
cnf(c_0_6117,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_1024 ).
cnf(c_0_6118,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_1025 ).
cnf(c_0_6119,plain,
( r1_lattices(esk845_0,esk848_0,esk847_0)
| r1_lattices(esk844_0,esk848_0,esk847_0)
| k2_lattices(esk844_0,esk848_0,esk847_0) != k2_lattices(esk845_0,esk848_0,esk847_0)
| ~ l2_lattices(esk844_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6113,c_0_6114]),c_0_6064])]) ).
cnf(c_0_6120,plain,
( k2_lattices(esk844_0,X1,esk847_0) = k2_lattices(esk845_0,X1,esk847_0)
| ~ l1_lattices(esk844_0)
| ~ m1_subset_1(X1,u1_struct_0(esk845_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6115,c_0_6116]),c_0_6064])]) ).
cnf(c_0_6121,negated_conjecture,
m1_subset_1(esk847_0,u1_struct_0(esk844_0)),
i_0_6028 ).
cnf(c_0_6122,negated_conjecture,
( k1_lattices(esk845_0,esk848_0,esk849_0) != k1_lattices(esk844_0,esk846_0,esk847_0)
| k2_lattices(esk845_0,esk848_0,esk849_0) != k2_lattices(esk844_0,esk846_0,esk847_0)
| ~ r1_lattices(esk844_0,esk846_0,esk847_0)
| ~ r1_lattices(esk845_0,esk848_0,esk849_0) ),
i_0_6020 ).
cnf(c_0_6123,negated_conjecture,
( r1_lattices(esk845_0,X1,esk847_0)
| k1_lattices(esk845_0,X1,esk847_0) != esk847_0
| ~ l2_lattices(esk845_0)
| ~ m1_subset_1(X1,u1_struct_0(esk845_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6117,c_0_6098]),c_0_6065]) ).
cnf(c_0_6124,plain,
( k1_lattices(esk845_0,X1,esk847_0) = esk847_0
| ~ l2_lattices(esk844_0)
| ~ l2_lattices(esk845_0)
| ~ m1_subset_1(X1,u1_struct_0(esk845_0))
| ~ r1_lattices(esk844_0,X1,esk847_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_6118,c_0_6109]),c_0_6099]),c_0_6098]),c_0_6099])]),c_0_6061]) ).
cnf(c_0_6125,plain,
( r1_lattices(esk844_0,esk848_0,esk847_0)
| r1_lattices(esk845_0,esk848_0,esk847_0)
| k2_lattices(esk844_0,esk848_0,esk847_0) != k2_lattices(esk845_0,esk848_0,esk847_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6119,c_0_6114]),c_0_6060])]) ).
cnf(c_0_6126,plain,
( k2_lattices(esk844_0,X1,esk847_0) = k2_lattices(esk845_0,X1,esk847_0)
| ~ m1_subset_1(X1,u1_struct_0(esk845_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6120,c_0_6116]),c_0_6060])]) ).
cnf(c_0_6127,negated_conjecture,
( r1_lattices(esk844_0,X1,esk847_0)
| k1_lattices(esk844_0,X1,esk847_0) != esk847_0
| ~ l2_lattices(esk844_0)
| ~ m1_subset_1(X1,u1_struct_0(esk844_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6117,c_0_6121]),c_0_6061]) ).
cnf(c_0_6128,negated_conjecture,
( k1_lattices(esk844_0,esk848_0,esk847_0) != k1_lattices(esk845_0,esk848_0,esk847_0)
| k2_lattices(esk844_0,esk848_0,esk847_0) != k2_lattices(esk845_0,esk848_0,esk847_0)
| ~ r1_lattices(esk845_0,esk848_0,esk847_0)
| ~ r1_lattices(esk844_0,esk848_0,esk847_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_6122,c_0_6103]),c_0_6093]),c_0_6103]),c_0_6093]),c_0_6093]),c_0_6103]) ).
cnf(c_0_6129,negated_conjecture,
( r1_lattices(esk845_0,X1,esk847_0)
| ~ l2_lattices(esk845_0)
| ~ l2_lattices(esk844_0)
| ~ m1_subset_1(X1,u1_struct_0(esk845_0))
| ~ r1_lattices(esk844_0,X1,esk847_0) ),
inference(spm,[status(thm)],[c_0_6123,c_0_6124]) ).
cnf(c_0_6130,plain,
( r1_lattices(esk845_0,esk848_0,esk847_0)
| r1_lattices(esk844_0,esk848_0,esk847_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6125,c_0_6126]),c_0_6110])]) ).
cnf(c_0_6131,negated_conjecture,
( r1_lattices(esk844_0,X1,esk847_0)
| k1_lattices(esk844_0,X1,esk847_0) != esk847_0
| ~ l2_lattices(esk844_0)
| ~ m1_subset_1(X1,u1_struct_0(esk845_0)) ),
inference(rw,[status(thm)],[c_0_6127,c_0_6099]) ).
cnf(c_0_6132,negated_conjecture,
( k1_lattices(esk844_0,esk848_0,esk847_0) != k1_lattices(esk845_0,esk848_0,esk847_0)
| ~ r1_lattices(esk845_0,esk848_0,esk847_0)
| ~ r1_lattices(esk844_0,esk848_0,esk847_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6128,c_0_6126]),c_0_6110])]) ).
cnf(c_0_6133,negated_conjecture,
( r1_lattices(esk845_0,esk848_0,esk847_0)
| ~ l2_lattices(esk845_0)
| ~ l2_lattices(esk844_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6129,c_0_6130]),c_0_6110])]) ).
cnf(c_0_6134,negated_conjecture,
( r1_lattices(esk844_0,X1,esk847_0)
| k1_lattices(esk845_0,X1,esk847_0) != esk847_0
| ~ l2_lattices(esk844_0)
| ~ l2_lattices(esk845_0)
| ~ m1_subset_1(X1,u1_struct_0(esk845_0)) ),
inference(spm,[status(thm)],[c_0_6131,c_0_6109]) ).
cnf(c_0_6135,negated_conjecture,
( k1_lattices(esk845_0,X1,esk847_0) = esk847_0
| ~ l2_lattices(esk845_0)
| ~ m1_subset_1(X1,u1_struct_0(esk845_0))
| ~ r1_lattices(esk845_0,X1,esk847_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6118,c_0_6098]),c_0_6065]) ).
cnf(c_0_6136,negated_conjecture,
( ~ l2_lattices(esk845_0)
| ~ l2_lattices(esk844_0)
| ~ r1_lattices(esk844_0,esk848_0,esk847_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6132,c_0_6109]),c_0_6110])]),c_0_6133]) ).
cnf(c_0_6137,negated_conjecture,
( r1_lattices(esk844_0,X1,esk847_0)
| ~ l2_lattices(esk844_0)
| ~ l2_lattices(esk845_0)
| ~ m1_subset_1(X1,u1_struct_0(esk845_0))
| ~ r1_lattices(esk845_0,X1,esk847_0) ),
inference(spm,[status(thm)],[c_0_6134,c_0_6135]) ).
cnf(c_0_6138,negated_conjecture,
( ~ l2_lattices(esk845_0)
| ~ l2_lattices(esk844_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6136,c_0_6137]),c_0_6110])]),c_0_6133]) ).
cnf(c_0_6139,plain,
~ l2_lattices(esk845_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6138,c_0_6114]),c_0_6060])]) ).
cnf(c_0_6140,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6139,c_0_6114]),c_0_6064])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT295+3 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n006.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 : Tue Jun 28 19:52:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.69/0.90 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.90 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.69/0.90 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.69/0.90 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 18.54/5.81 # ENIGMATIC: Solved by autoschedule-lgb:
% 18.54/5.81 # No SInE strategy applied
% 18.54/5.81 # Trying AutoSched0 for 149 seconds
% 18.54/5.81 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 18.54/5.81 # and selection function PSelectComplexExceptUniqMaxHorn.
% 18.54/5.81 #
% 18.54/5.81 # Preprocessing time : 0.029 s
% 18.54/5.81 # Presaturation interreduction done
% 18.54/5.81
% 18.54/5.81 # Proof found!
% 18.54/5.81 # SZS status Theorem
% 18.54/5.81 # SZS output start CNFRefutation
% See solution above
% 18.54/5.81 # Training examples: 0 positive, 0 negative
% 18.54/5.81
% 18.54/5.81 # -------------------------------------------------
% 18.54/5.81 # User time : 1.026 s
% 18.54/5.81 # System time : 0.017 s
% 18.54/5.81 # Total time : 1.043 s
% 18.54/5.81 # Maximum resident set size: 7128 pages
% 18.54/5.81
%------------------------------------------------------------------------------