TSTP Solution File: LAT308+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT308+2 : 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 04:29:19 EDT 2022
% Result : Theorem 12.08s 3.80s
% Output : CNFRefutation 12.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 34
% Syntax : Number of clauses : 93 ( 21 unt; 47 nHn; 93 RR)
% Number of literals : 389 ( 16 equ; 258 neg)
% Maximal clause size : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 136 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_850,plain,
( v3_struct_0(X1)
| m2_filter_2(k18_filter_2(X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_850) ).
cnf(i_0_2567,negated_conjecture,
k18_filter_2(esk460_0,esk461_0) = u1_struct_0(esk460_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_2567) ).
cnf(i_0_2572,negated_conjecture,
v10_lattices(esk460_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_2572) ).
cnf(i_0_2571,negated_conjecture,
l3_lattices(esk460_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_2571) ).
cnf(i_0_2570,negated_conjecture,
m1_subset_1(esk461_0,u1_struct_0(esk460_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_2570) ).
cnf(i_0_2573,negated_conjecture,
~ v3_struct_0(esk460_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_2573) ).
cnf(i_0_2360,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,k18_filter_2(X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_2360) ).
cnf(i_0_2134,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_2134) ).
cnf(i_0_959,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_959) ).
cnf(i_0_3704,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X3,X2)
| ~ epred2_2(X2,X4)
| ~ r3_lattices(X4,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X4))
| ~ m1_subset_1(X3,u1_struct_0(X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_3704) ).
cnf(i_0_460,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_460) ).
cnf(i_0_2569,negated_conjecture,
m1_subset_1(esk462_0,u1_struct_0(esk460_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_2569) ).
cnf(i_0_3628,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| epred2_2(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_3628) ).
cnf(i_0_948,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_948) ).
cnf(i_0_949,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_949) ).
cnf(i_0_868,plain,
( v3_struct_0(X1)
| m1_filter_0(k2_filter_0(X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_868) ).
cnf(i_0_2087,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k2_filter_0(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_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-g7hv3qvy/lgb.p',i_0_2087) ).
cnf(i_0_913,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_913) ).
cnf(i_0_947,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_947) ).
cnf(i_0_2280,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| ~ l2_lattices(X1)
| ~ v5_lattices(X1)
| ~ r1_lattices(X1,X4,X3)
| ~ r1_lattices(X1,X2,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_2280) ).
cnf(i_0_1425,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ r3_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-g7hv3qvy/lgb.p',i_0_1425) ).
cnf(i_0_946,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_946) ).
cnf(i_0_2055,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v10_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-g7hv3qvy/lgb.p',i_0_2055) ).
cnf(i_0_510,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-g7hv3qvy/lgb.p',i_0_510) ).
cnf(i_0_2032,plain,
( k1_lattices(X1,X2,X2) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_2032) ).
cnf(i_0_1398,plain,
( k1_lattices(X1,X2,X3) = k3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_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-g7hv3qvy/lgb.p',i_0_1398) ).
cnf(i_0_511,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-g7hv3qvy/lgb.p',i_0_511) ).
cnf(i_0_142,plain,
( k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_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-g7hv3qvy/lgb.p',i_0_142) ).
cnf(i_0_2568,negated_conjecture,
k3_lattices(esk460_0,esk461_0,esk462_0) != esk461_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_2568) ).
cnf(i_0_38,plain,
( v3_struct_0(X1)
| v5_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_38) ).
cnf(i_0_34,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_34) ).
cnf(i_0_35,plain,
( v3_struct_0(X1)
| v8_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_35) ).
cnf(i_0_39,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_39) ).
cnf(i_0_37,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7hv3qvy/lgb.p',i_0_37) ).
cnf(c_0_3739,plain,
( v3_struct_0(X1)
| m2_filter_2(k18_filter_2(X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_850 ).
cnf(c_0_3740,negated_conjecture,
k18_filter_2(esk460_0,esk461_0) = u1_struct_0(esk460_0),
i_0_2567 ).
cnf(c_0_3741,negated_conjecture,
v10_lattices(esk460_0),
i_0_2572 ).
cnf(c_0_3742,negated_conjecture,
l3_lattices(esk460_0),
i_0_2571 ).
cnf(c_0_3743,negated_conjecture,
m1_subset_1(esk461_0,u1_struct_0(esk460_0)),
i_0_2570 ).
cnf(c_0_3744,negated_conjecture,
~ v3_struct_0(esk460_0),
i_0_2573 ).
cnf(c_0_3745,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,k18_filter_2(X1,X3)) ),
i_0_2360 ).
cnf(c_0_3746,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_2134 ).
cnf(c_0_3747,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_959 ).
cnf(c_0_3748,negated_conjecture,
m2_filter_2(u1_struct_0(esk460_0),esk460_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_3739,c_0_3740]),c_0_3741]),c_0_3742]),c_0_3743])]),c_0_3744]) ).
cnf(c_0_3749,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X3,X2)
| ~ epred2_2(X2,X4)
| ~ r3_lattices(X4,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X4))
| ~ m1_subset_1(X3,u1_struct_0(X4)) ),
i_0_3704 ).
cnf(c_0_3750,negated_conjecture,
( r3_lattices(esk460_0,X1,esk461_0)
| ~ r2_hidden(X1,u1_struct_0(esk460_0)) ),
inference(csr,[status(thm)],[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_3745,c_0_3740]),c_0_3741]),c_0_3742]),c_0_3743])]),c_0_3744]),c_0_3746]) ).
cnf(c_0_3751,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_460 ).
cnf(c_0_3752,negated_conjecture,
m1_subset_1(esk462_0,u1_struct_0(esk460_0)),
i_0_2569 ).
cnf(c_0_3753,plain,
~ v1_xboole_0(u1_struct_0(esk460_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3747,c_0_3748]),c_0_3741]),c_0_3742])]),c_0_3744]) ).
cnf(c_0_3754,plain,
( r2_hidden(esk461_0,X1)
| ~ epred2_2(X1,esk460_0)
| ~ r2_hidden(X2,u1_struct_0(esk460_0))
| ~ r2_hidden(X2,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3749,c_0_3750]),c_0_3743])]),c_0_3746]) ).
cnf(c_0_3755,negated_conjecture,
r2_hidden(esk462_0,u1_struct_0(esk460_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3751,c_0_3752]),c_0_3753]) ).
cnf(c_0_3756,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| epred2_2(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
i_0_3628 ).
cnf(c_0_3757,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_948 ).
cnf(c_0_3758,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_949 ).
cnf(c_0_3759,plain,
( r2_hidden(esk461_0,X1)
| ~ epred2_2(X1,esk460_0)
| ~ r2_hidden(esk462_0,X1) ),
inference(spm,[status(thm)],[c_0_3754,c_0_3755]) ).
cnf(c_0_3760,plain,
( epred2_2(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3756,c_0_3757]),c_0_3758]) ).
cnf(c_0_3761,plain,
( r2_hidden(esk461_0,X1)
| ~ m1_filter_0(X1,esk460_0)
| ~ r2_hidden(esk462_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3759,c_0_3760]),c_0_3741]),c_0_3742])]),c_0_3744]) ).
cnf(c_0_3762,plain,
( v3_struct_0(X1)
| m1_filter_0(k2_filter_0(X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_868 ).
cnf(c_0_3763,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k2_filter_0(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2087 ).
cnf(c_0_3764,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
i_0_913 ).
cnf(c_0_3765,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_947 ).
cnf(c_0_3766,plain,
( r2_hidden(esk461_0,k2_filter_0(esk460_0,X1))
| ~ r2_hidden(esk462_0,k2_filter_0(esk460_0,X1))
| ~ m1_subset_1(X1,u1_struct_0(esk460_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3761,c_0_3762]),c_0_3741]),c_0_3742])]),c_0_3744]) ).
cnf(c_0_3767,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k2_filter_0(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3763,c_0_3764]),c_0_3765]) ).
cnf(c_0_3768,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| ~ l2_lattices(X1)
| ~ v5_lattices(X1)
| ~ r1_lattices(X1,X4,X3)
| ~ r1_lattices(X1,X2,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2280 ).
cnf(c_0_3769,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_1425 ).
cnf(c_0_3770,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_946 ).
cnf(c_0_3771,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v10_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_2055 ).
cnf(c_0_3772,plain,
r2_hidden(esk461_0,k2_filter_0(esk460_0,esk462_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_3766,c_0_3767]),c_0_3752]),c_0_3741]),c_0_3742])]),c_0_3744]) ).
cnf(c_0_3773,plain,
( r1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X4,X3)
| ~ r1_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)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3768,c_0_3769]),c_0_3770]) ).
cnf(c_0_3774,plain,
r3_lattices(esk460_0,esk462_0,esk461_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_3771,c_0_3772]),c_0_3741]),c_0_3742]),c_0_3743]),c_0_3752])]),c_0_3744]) ).
cnf(c_0_3775,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_510 ).
cnf(c_0_3776,plain,
( k1_lattices(X1,X2,X2) = X2
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2032 ).
cnf(c_0_3777,plain,
( k1_lattices(X1,X2,X3) = k3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_1398 ).
cnf(c_0_3778,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_511 ).
cnf(c_0_3779,plain,
( r1_lattices(esk460_0,X1,esk461_0)
| ~ v9_lattices(esk460_0)
| ~ v8_lattices(esk460_0)
| ~ v6_lattices(esk460_0)
| ~ v5_lattices(esk460_0)
| ~ r1_lattices(esk460_0,X1,esk462_0)
| ~ m1_subset_1(X1,u1_struct_0(esk460_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_3773,c_0_3774]),c_0_3742]),c_0_3752]),c_0_3743])]),c_0_3744]) ).
cnf(c_0_3780,plain,
( r1_lattices(X1,X2,X2)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3775,c_0_3776]),c_0_3770]) ).
cnf(c_0_3781,plain,
( k3_lattices(X1,X2,X3) = X3
| v3_struct_0(X1)
| ~ r1_lattices(X1,X2,X3)
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_3777,c_0_3778]) ).
cnf(c_0_3782,plain,
( r1_lattices(esk460_0,esk462_0,esk461_0)
| ~ v9_lattices(esk460_0)
| ~ v8_lattices(esk460_0)
| ~ v6_lattices(esk460_0)
| ~ v5_lattices(esk460_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3779,c_0_3780]),c_0_3752]),c_0_3742])]),c_0_3744]) ).
cnf(c_0_3783,plain,
( k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_142 ).
cnf(c_0_3784,plain,
( k3_lattices(esk460_0,esk462_0,esk461_0) = esk461_0
| ~ v9_lattices(esk460_0)
| ~ v8_lattices(esk460_0)
| ~ v6_lattices(esk460_0)
| ~ v5_lattices(esk460_0)
| ~ v4_lattices(esk460_0)
| ~ l2_lattices(esk460_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3781,c_0_3782]),c_0_3743]),c_0_3752])]),c_0_3744]) ).
cnf(c_0_3785,negated_conjecture,
k3_lattices(esk460_0,esk461_0,esk462_0) != esk461_0,
i_0_2568 ).
cnf(c_0_3786,plain,
( ~ v9_lattices(esk460_0)
| ~ v8_lattices(esk460_0)
| ~ v6_lattices(esk460_0)
| ~ v5_lattices(esk460_0)
| ~ v4_lattices(esk460_0)
| ~ l2_lattices(esk460_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_3783,c_0_3784]),c_0_3743]),c_0_3752])]),c_0_3785]),c_0_3744]) ).
cnf(c_0_3787,plain,
( v3_struct_0(X1)
| v5_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_38 ).
cnf(c_0_3788,plain,
( ~ v9_lattices(esk460_0)
| ~ v8_lattices(esk460_0)
| ~ v6_lattices(esk460_0)
| ~ v4_lattices(esk460_0)
| ~ l2_lattices(esk460_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3786,c_0_3787]),c_0_3741]),c_0_3742])]),c_0_3744]) ).
cnf(c_0_3789,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_34 ).
cnf(c_0_3790,plain,
( ~ v8_lattices(esk460_0)
| ~ v6_lattices(esk460_0)
| ~ v4_lattices(esk460_0)
| ~ l2_lattices(esk460_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3788,c_0_3789]),c_0_3741]),c_0_3742])]),c_0_3744]) ).
cnf(c_0_3791,plain,
( v3_struct_0(X1)
| v8_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_35 ).
cnf(c_0_3792,plain,
( ~ v6_lattices(esk460_0)
| ~ v4_lattices(esk460_0)
| ~ l2_lattices(esk460_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3790,c_0_3791]),c_0_3741]),c_0_3742])]),c_0_3744]) ).
cnf(c_0_3793,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_39 ).
cnf(c_0_3794,plain,
( ~ v6_lattices(esk460_0)
| ~ l2_lattices(esk460_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3792,c_0_3793]),c_0_3741]),c_0_3742])]),c_0_3744]) ).
cnf(c_0_3795,plain,
~ v6_lattices(esk460_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3794,c_0_3770]),c_0_3742])]) ).
cnf(c_0_3796,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_37 ).
cnf(c_0_3797,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3795,c_0_3796]),c_0_3741]),c_0_3742])]),c_0_3744]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT308+2 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % 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 : Thu Jun 30 00:48:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.57 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.57 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.57 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.57 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 12.08/3.80 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.08/3.80 # No SInE strategy applied
% 12.08/3.80 # Trying AutoSched0 for 150 seconds
% 12.08/3.80 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 12.08/3.80 # and selection function SelectMaxLComplexAvoidPosPred.
% 12.08/3.80 #
% 12.08/3.80 # Preprocessing time : 0.035 s
% 12.08/3.80
% 12.08/3.80 # Proof found!
% 12.08/3.80 # SZS status Theorem
% 12.08/3.80 # SZS output start CNFRefutation
% See solution above
% 12.08/3.80 # Training examples: 0 positive, 0 negative
% 12.08/3.80
% 12.08/3.80 # -------------------------------------------------
% 12.08/3.80 # User time : 0.213 s
% 12.08/3.80 # System time : 0.010 s
% 12.08/3.80 # Total time : 0.223 s
% 12.08/3.80 # Maximum resident set size: 7128 pages
% 12.08/3.80
%------------------------------------------------------------------------------