TSTP Solution File: ALG214+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG214+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 : Thu Jul 14 15:33:01 EDT 2022
% Result : Theorem 11.36s 5.51s
% Output : CNFRefutation 11.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 27
% Syntax : Number of clauses : 64 ( 49 unt; 15 nHn; 64 RR)
% Number of literals : 331 ( 13 equ; 242 neg)
% Maximal clause size : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2938,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_rmod_4(X3,X2,X1,X4)
| ~ v4_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v7_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ r1_tarski(X5,X4)
| ~ m2_rmod_4(X3,X2,X1,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_2938) ).
cnf(i_0_3324,negated_conjecture,
m1_subset_1(esk528_0,k1_zfmisc_1(u1_struct_0(esk527_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3324) ).
cnf(i_0_3327,negated_conjecture,
v6_rlvect_1(esk527_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3327) ).
cnf(i_0_3328,negated_conjecture,
v5_rlvect_1(esk527_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3328) ).
cnf(i_0_3329,negated_conjecture,
v4_rlvect_1(esk527_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3329) ).
cnf(i_0_3330,negated_conjecture,
v3_rlvect_1(esk527_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3330) ).
cnf(i_0_3331,negated_conjecture,
~ v3_struct_0(esk527_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3331) ).
cnf(i_0_167,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X2,X1)
| m2_rmod_4(esk26_3(X2,X1,X3),X2,X1,X3)
| ~ v4_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v7_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_167) ).
cnf(i_0_3323,negated_conjecture,
m1_subset_1(esk529_0,k1_zfmisc_1(u1_struct_0(esk527_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3323) ).
cnf(i_0_3322,negated_conjecture,
r1_tarski(esk528_0,esk529_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3322) ).
cnf(i_0_3325,negated_conjecture,
l1_vectsp_2(esk527_0,esk526_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3325) ).
cnf(i_0_3332,negated_conjecture,
l3_vectsp_1(esk526_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3332) ).
cnf(i_0_3334,negated_conjecture,
v7_vectsp_1(esk526_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3334) ).
cnf(i_0_3337,negated_conjecture,
v6_rlvect_1(esk526_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3337) ).
cnf(i_0_3338,negated_conjecture,
v5_rlvect_1(esk526_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3338) ).
cnf(i_0_3339,negated_conjecture,
v4_rlvect_1(esk526_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3339) ).
cnf(i_0_3340,negated_conjecture,
v3_rlvect_1(esk526_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3340) ).
cnf(i_0_3335,negated_conjecture,
v6_vectsp_1(esk526_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3335) ).
cnf(i_0_3333,negated_conjecture,
v8_vectsp_1(esk526_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3333) ).
cnf(i_0_3336,negated_conjecture,
v4_group_1(esk526_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3336) ).
cnf(i_0_3326,negated_conjecture,
v5_vectsp_2(esk527_0,esk526_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3326) ).
cnf(i_0_3341,negated_conjecture,
~ v3_struct_0(esk526_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3341) ).
cnf(i_0_3320,negated_conjecture,
~ v1_rmod_5(esk528_0,esk526_0,esk527_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3320) ).
cnf(i_0_166,plain,
( k5_rmod_4(X1,X2,esk26_3(X1,X2,X3)) = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_rmod_5(X3,X1,X2)
| ~ v4_group_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_166) ).
cnf(i_0_168,plain,
( k2_rmod_4(X1,X2,X3) = k1_xboole_0
| v3_struct_0(X2)
| v3_struct_0(X1)
| k5_rmod_4(X1,X2,X3) != k1_rlvect_1(X2)
| ~ v4_group_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v1_rmod_5(X4,X1,X2)
| ~ m2_rmod_4(X3,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_168) ).
cnf(i_0_3321,negated_conjecture,
v1_rmod_5(esk529_0,esk526_0,esk527_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_3321) ).
cnf(i_0_165,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X2,X1)
| k2_rmod_4(X2,X1,esk26_3(X2,X1,X3)) != k1_xboole_0
| ~ v4_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v7_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a4d1c6xt/lgb.p',i_0_165) ).
cnf(c_0_3369,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_rmod_4(X3,X2,X1,X4)
| ~ v4_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v7_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ r1_tarski(X5,X4)
| ~ m2_rmod_4(X3,X2,X1,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_2938 ).
cnf(c_0_3370,negated_conjecture,
m1_subset_1(esk528_0,k1_zfmisc_1(u1_struct_0(esk527_0))),
i_0_3324 ).
cnf(c_0_3371,negated_conjecture,
v6_rlvect_1(esk527_0),
i_0_3327 ).
cnf(c_0_3372,negated_conjecture,
v5_rlvect_1(esk527_0),
i_0_3328 ).
cnf(c_0_3373,negated_conjecture,
v4_rlvect_1(esk527_0),
i_0_3329 ).
cnf(c_0_3374,negated_conjecture,
v3_rlvect_1(esk527_0),
i_0_3330 ).
cnf(c_0_3375,negated_conjecture,
~ v3_struct_0(esk527_0),
i_0_3331 ).
cnf(c_0_3376,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X2,X1)
| m2_rmod_4(esk26_3(X2,X1,X3),X2,X1,X3)
| ~ v4_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v7_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_167 ).
cnf(c_0_3377,negated_conjecture,
( m2_rmod_4(X1,X2,esk527_0,X3)
| v3_struct_0(X2)
| ~ m2_rmod_4(X1,X2,esk527_0,esk528_0)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ r1_tarski(esk528_0,X3)
| ~ l1_vectsp_2(esk527_0,X2)
| ~ v5_vectsp_2(esk527_0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(esk527_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_3369,c_0_3370]),c_0_3371]),c_0_3372]),c_0_3373]),c_0_3374])]),c_0_3375]) ).
cnf(c_0_3378,negated_conjecture,
m1_subset_1(esk529_0,k1_zfmisc_1(u1_struct_0(esk527_0))),
i_0_3323 ).
cnf(c_0_3379,negated_conjecture,
r1_tarski(esk528_0,esk529_0),
i_0_3322 ).
cnf(c_0_3380,negated_conjecture,
( m2_rmod_4(esk26_3(X1,esk527_0,esk528_0),X1,esk527_0,esk528_0)
| v3_struct_0(X1)
| v1_rmod_5(esk528_0,X1,esk527_0)
| ~ l3_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ l1_vectsp_2(esk527_0,X1)
| ~ v5_vectsp_2(esk527_0,X1) ),
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_3376,c_0_3370]),c_0_3371]),c_0_3372]),c_0_3373]),c_0_3374])]),c_0_3375]) ).
cnf(c_0_3381,negated_conjecture,
l1_vectsp_2(esk527_0,esk526_0),
i_0_3325 ).
cnf(c_0_3382,negated_conjecture,
l3_vectsp_1(esk526_0),
i_0_3332 ).
cnf(c_0_3383,negated_conjecture,
v7_vectsp_1(esk526_0),
i_0_3334 ).
cnf(c_0_3384,negated_conjecture,
v6_rlvect_1(esk526_0),
i_0_3337 ).
cnf(c_0_3385,negated_conjecture,
v5_rlvect_1(esk526_0),
i_0_3338 ).
cnf(c_0_3386,negated_conjecture,
v4_rlvect_1(esk526_0),
i_0_3339 ).
cnf(c_0_3387,negated_conjecture,
v3_rlvect_1(esk526_0),
i_0_3340 ).
cnf(c_0_3388,negated_conjecture,
v6_vectsp_1(esk526_0),
i_0_3335 ).
cnf(c_0_3389,negated_conjecture,
v8_vectsp_1(esk526_0),
i_0_3333 ).
cnf(c_0_3390,negated_conjecture,
v4_group_1(esk526_0),
i_0_3336 ).
cnf(c_0_3391,negated_conjecture,
v5_vectsp_2(esk527_0,esk526_0),
i_0_3326 ).
cnf(c_0_3392,negated_conjecture,
~ v3_struct_0(esk526_0),
i_0_3341 ).
cnf(c_0_3393,negated_conjecture,
~ v1_rmod_5(esk528_0,esk526_0,esk527_0),
i_0_3320 ).
cnf(c_0_3394,plain,
( k5_rmod_4(X1,X2,esk26_3(X1,X2,X3)) = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_rmod_5(X3,X1,X2)
| ~ v4_group_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
i_0_166 ).
cnf(c_0_3395,plain,
( k2_rmod_4(X1,X2,X3) = k1_xboole_0
| v3_struct_0(X2)
| v3_struct_0(X1)
| k5_rmod_4(X1,X2,X3) != k1_rlvect_1(X2)
| ~ v4_group_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v1_rmod_5(X4,X1,X2)
| ~ m2_rmod_4(X3,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))) ),
i_0_168 ).
cnf(c_0_3396,negated_conjecture,
( m2_rmod_4(X1,X2,esk527_0,esk529_0)
| v3_struct_0(X2)
| ~ m2_rmod_4(X1,X2,esk527_0,esk528_0)
| ~ l3_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(esk527_0,X2)
| ~ v5_vectsp_2(esk527_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3377,c_0_3378]),c_0_3379])]) ).
cnf(c_0_3397,negated_conjecture,
m2_rmod_4(esk26_3(esk526_0,esk527_0,esk528_0),esk526_0,esk527_0,esk528_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(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_3380,c_0_3381]),c_0_3382]),c_0_3383]),c_0_3384]),c_0_3385]),c_0_3386]),c_0_3387]),c_0_3388]),c_0_3389]),c_0_3390]),c_0_3391])]),c_0_3392]),c_0_3393]) ).
cnf(c_0_3398,negated_conjecture,
( k5_rmod_4(X1,esk527_0,esk26_3(X1,esk527_0,esk528_0)) = k1_rlvect_1(esk527_0)
| v3_struct_0(X1)
| v1_rmod_5(esk528_0,X1,esk527_0)
| ~ l3_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ l1_vectsp_2(esk527_0,X1)
| ~ v5_vectsp_2(esk527_0,X1) ),
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_3394,c_0_3370]),c_0_3371]),c_0_3372]),c_0_3373]),c_0_3374])]),c_0_3375]) ).
cnf(c_0_3399,negated_conjecture,
( k2_rmod_4(X1,esk527_0,X2) = k1_xboole_0
| v3_struct_0(X1)
| k5_rmod_4(X1,esk527_0,X2) != k1_rlvect_1(esk527_0)
| ~ m2_rmod_4(X2,X1,esk527_0,esk529_0)
| ~ l3_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v1_rmod_5(esk529_0,X1,esk527_0)
| ~ l1_vectsp_2(esk527_0,X1)
| ~ v5_vectsp_2(esk527_0,X1) ),
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_3395,c_0_3378]),c_0_3371]),c_0_3372]),c_0_3373]),c_0_3374])]),c_0_3375]) ).
cnf(c_0_3400,negated_conjecture,
m2_rmod_4(esk26_3(esk526_0,esk527_0,esk528_0),esk526_0,esk527_0,esk529_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(rw,[status(thm)],[inference(rw,[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_3396,c_0_3397]),c_0_3382]),c_0_3383]),c_0_3384]),c_0_3385]),c_0_3386]),c_0_3387]),c_0_3388]),c_0_3389]),c_0_3390]),c_0_3381]),c_0_3391])]),c_0_3392]) ).
cnf(c_0_3401,negated_conjecture,
k5_rmod_4(esk526_0,esk527_0,esk26_3(esk526_0,esk527_0,esk528_0)) = k1_rlvect_1(esk527_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(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_3398,c_0_3381]),c_0_3382]),c_0_3383]),c_0_3384]),c_0_3385]),c_0_3386]),c_0_3387]),c_0_3388]),c_0_3389]),c_0_3390]),c_0_3391])]),c_0_3392]),c_0_3393]) ).
cnf(c_0_3402,negated_conjecture,
v1_rmod_5(esk529_0,esk526_0,esk527_0),
i_0_3321 ).
cnf(c_0_3403,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X2,X1)
| k2_rmod_4(X2,X1,esk26_3(X2,X1,X3)) != k1_xboole_0
| ~ v4_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v7_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_165 ).
cnf(c_0_3404,negated_conjecture,
k2_rmod_4(esk526_0,esk527_0,esk26_3(esk526_0,esk527_0,esk528_0)) = k1_xboole_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_3399,c_0_3400]),c_0_3401]),c_0_3382]),c_0_3383]),c_0_3384]),c_0_3385]),c_0_3386]),c_0_3387]),c_0_3388]),c_0_3389]),c_0_3390]),c_0_3402]),c_0_3381]),c_0_3391])]),c_0_3392]) ).
cnf(c_0_3405,plain,
$false,
inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_3403,c_0_3404]),c_0_3382]),c_0_3383]),c_0_3384]),c_0_3371]),c_0_3385]),c_0_3372]),c_0_3386]),c_0_3373]),c_0_3387]),c_0_3374]),c_0_3388]),c_0_3389]),c_0_3390]),c_0_3381]),c_0_3391]),c_0_3370])]),c_0_3392]),c_0_3375]),c_0_3393]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG214+4 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Wed Jun 8 10:52:55 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.15/0.38 # ENIGMATIC: Selected SinE mode:
% 1.00/1.18 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.00/1.18 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.00/1.18 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.00/1.18 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.36/5.51 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.36/5.51 # No SInE strategy applied
% 11.36/5.51 # Trying AutoSched0 for 149 seconds
% 11.36/5.51 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.36/5.51 # and selection function SelectComplexExceptUniqMaxHorn.
% 11.36/5.51 #
% 11.36/5.51 # Preprocessing time : 0.025 s
% 11.36/5.51 # Presaturation interreduction done
% 11.36/5.51
% 11.36/5.51 # Proof found!
% 11.36/5.51 # SZS status Theorem
% 11.36/5.51 # SZS output start CNFRefutation
% See solution above
% 11.36/5.51 # Training examples: 0 positive, 0 negative
% 11.36/5.51
% 11.36/5.51 # -------------------------------------------------
% 11.36/5.51 # User time : 0.056 s
% 11.36/5.51 # System time : 0.004 s
% 11.36/5.51 # Total time : 0.060 s
% 11.36/5.51 # Maximum resident set size: 7128 pages
% 11.36/5.51
%------------------------------------------------------------------------------