TSTP Solution File: ALG222+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG222+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 15:33:07 EDT 2022
% Result : Theorem 13.35s 4.60s
% Output : CNFRefutation 13.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 32
% Syntax : Number of clauses : 76 ( 54 unt; 6 nHn; 68 RR)
% Number of literals : 243 ( 4 equ; 168 neg)
% Maximal clause size : 24 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 57 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2326,negated_conjecture,
~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0)),esk354_0,k2_rmod_3(esk354_0,esk355_0,k1_rmod_5(esk354_0,esk355_0,esk356_0),k1_rmod_5(esk354_0,esk355_0,esk357_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2326) ).
cnf(i_0_2634,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_2(X3,X2,k2_rmod_3(X2,X1,X4,X5))
| ~ l3_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v7_vectsp_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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X5,X2,X1)
| ~ m1_rmod_2(X4,X2,X1)
| ~ m1_rmod_2(X3,X2,X5)
| ~ m1_rmod_2(X3,X2,X4)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2634) ).
cnf(i_0_2344,negated_conjecture,
v6_rlvect_1(esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2344) ).
cnf(i_0_2331,negated_conjecture,
v6_rlvect_1(esk355_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2331) ).
cnf(i_0_2345,negated_conjecture,
v5_rlvect_1(esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2345) ).
cnf(i_0_2332,negated_conjecture,
v5_rlvect_1(esk355_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2332) ).
cnf(i_0_2346,negated_conjecture,
v4_rlvect_1(esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2346) ).
cnf(i_0_2333,negated_conjecture,
v4_rlvect_1(esk355_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2333) ).
cnf(i_0_2347,negated_conjecture,
v3_rlvect_1(esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2347) ).
cnf(i_0_2334,negated_conjecture,
v3_rlvect_1(esk355_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2334) ).
cnf(i_0_2341,negated_conjecture,
v6_vectsp_1(esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2341) ).
cnf(i_0_2339,negated_conjecture,
v8_vectsp_1(esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2339) ).
cnf(i_0_2340,negated_conjecture,
v7_vectsp_1(esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2340) ).
cnf(i_0_2343,negated_conjecture,
v4_group_1(esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2343) ).
cnf(i_0_2336,negated_conjecture,
l3_vectsp_1(esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2336) ).
cnf(i_0_2329,negated_conjecture,
l1_vectsp_2(esk355_0,esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2329) ).
cnf(i_0_2330,negated_conjecture,
v5_vectsp_2(esk355_0,esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2330) ).
cnf(i_0_2335,negated_conjecture,
~ v3_struct_0(esk355_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2335) ).
cnf(i_0_2348,negated_conjecture,
~ v3_struct_0(esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2348) ).
cnf(i_0_2144,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m1_rmod_2(k1_rmod_5(X2,X1,X3),X2,k1_rmod_5(X2,X1,X4))
| ~ l3_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v7_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)
| ~ v2_vectsp_2(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ r1_tarski(X3,X4)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2144) ).
cnf(i_0_2337,negated_conjecture,
v2_vectsp_2(esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2337) ).
cnf(i_0_2342,negated_conjecture,
v7_group_1(esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2342) ).
cnf(i_0_2327,negated_conjecture,
m1_subset_1(esk357_0,k1_zfmisc_1(u1_struct_0(esk355_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2327) ).
cnf(i_0_2338,negated_conjecture,
~ v10_vectsp_1(esk354_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2338) ).
cnf(i_0_2328,negated_conjecture,
m1_subset_1(esk356_0,k1_zfmisc_1(u1_struct_0(esk355_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_2328) ).
cnf(i_0_751,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m1_rmod_2(k1_rmod_5(X2,X1,X3),X2,X1)
| ~ l3_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v7_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)
| ~ v2_vectsp_2(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_751) ).
cnf(i_0_1563,plain,
( k5_subset_1(X1,X2,X3) = k4_xboole_0(X2,k4_xboole_0(X2,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_1563) ).
cnf(i_0_3114,plain,
r1_tarski(k4_xboole_0(X1,X2),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_3114) ).
cnf(i_0_112,plain,
k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k4_xboole_0(X2,k4_xboole_0(X2,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_112) ).
cnf(i_0_3263,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_3263) ).
cnf(i_0_1641,plain,
( r1_tarski(k4_xboole_0(X1,X2),X3)
| ~ r1_tarski(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_1641) ).
cnf(i_0_3264,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pgswwt09/lgb.p',i_0_3264) ).
cnf(c_0_3297,negated_conjecture,
~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0)),esk354_0,k2_rmod_3(esk354_0,esk355_0,k1_rmod_5(esk354_0,esk355_0,esk356_0),k1_rmod_5(esk354_0,esk355_0,esk357_0))),
i_0_2326 ).
cnf(c_0_3298,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_2(X3,X2,k2_rmod_3(X2,X1,X4,X5))
| ~ l3_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v7_vectsp_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)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X5,X2,X1)
| ~ m1_rmod_2(X4,X2,X1)
| ~ m1_rmod_2(X3,X2,X5)
| ~ m1_rmod_2(X3,X2,X4)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_2634 ).
cnf(c_0_3299,negated_conjecture,
v6_rlvect_1(esk354_0),
i_0_2344 ).
cnf(c_0_3300,negated_conjecture,
v6_rlvect_1(esk355_0),
i_0_2331 ).
cnf(c_0_3301,negated_conjecture,
v5_rlvect_1(esk354_0),
i_0_2345 ).
cnf(c_0_3302,negated_conjecture,
v5_rlvect_1(esk355_0),
i_0_2332 ).
cnf(c_0_3303,negated_conjecture,
v4_rlvect_1(esk354_0),
i_0_2346 ).
cnf(c_0_3304,negated_conjecture,
v4_rlvect_1(esk355_0),
i_0_2333 ).
cnf(c_0_3305,negated_conjecture,
v3_rlvect_1(esk354_0),
i_0_2347 ).
cnf(c_0_3306,negated_conjecture,
v3_rlvect_1(esk355_0),
i_0_2334 ).
cnf(c_0_3307,negated_conjecture,
v6_vectsp_1(esk354_0),
i_0_2341 ).
cnf(c_0_3308,negated_conjecture,
v8_vectsp_1(esk354_0),
i_0_2339 ).
cnf(c_0_3309,negated_conjecture,
v7_vectsp_1(esk354_0),
i_0_2340 ).
cnf(c_0_3310,negated_conjecture,
v4_group_1(esk354_0),
i_0_2343 ).
cnf(c_0_3311,negated_conjecture,
l3_vectsp_1(esk354_0),
i_0_2336 ).
cnf(c_0_3312,negated_conjecture,
l1_vectsp_2(esk355_0,esk354_0),
i_0_2329 ).
cnf(c_0_3313,negated_conjecture,
v5_vectsp_2(esk355_0,esk354_0),
i_0_2330 ).
cnf(c_0_3314,negated_conjecture,
~ v3_struct_0(esk355_0),
i_0_2335 ).
cnf(c_0_3315,negated_conjecture,
~ v3_struct_0(esk354_0),
i_0_2348 ).
cnf(c_0_3316,negated_conjecture,
( ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0)),esk354_0,k1_rmod_5(esk354_0,esk355_0,esk357_0))
| ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0)),esk354_0,k1_rmod_5(esk354_0,esk355_0,esk356_0))
| ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0)),esk354_0,esk355_0)
| ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,esk357_0),esk354_0,esk355_0)
| ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,esk356_0),esk354_0,esk355_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(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_3297,c_0_3298]),c_0_3299]),c_0_3300]),c_0_3301]),c_0_3302]),c_0_3303]),c_0_3304]),c_0_3305]),c_0_3306]),c_0_3307]),c_0_3308]),c_0_3309]),c_0_3310]),c_0_3311]),c_0_3312]),c_0_3313])]),c_0_3314]),c_0_3315]) ).
cnf(c_0_3317,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m1_rmod_2(k1_rmod_5(X2,X1,X3),X2,k1_rmod_5(X2,X1,X4))
| ~ l3_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v7_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)
| ~ v2_vectsp_2(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ r1_tarski(X3,X4)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_2144 ).
cnf(c_0_3318,negated_conjecture,
v2_vectsp_2(esk354_0),
i_0_2337 ).
cnf(c_0_3319,negated_conjecture,
v7_group_1(esk354_0),
i_0_2342 ).
cnf(c_0_3320,negated_conjecture,
m1_subset_1(esk357_0,k1_zfmisc_1(u1_struct_0(esk355_0))),
i_0_2327 ).
cnf(c_0_3321,negated_conjecture,
~ v10_vectsp_1(esk354_0),
i_0_2338 ).
cnf(c_0_3322,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0),esk357_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0),k1_zfmisc_1(u1_struct_0(esk355_0)))
| ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0)),esk354_0,k1_rmod_5(esk354_0,esk355_0,esk356_0))
| ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0)),esk354_0,esk355_0)
| ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,esk357_0),esk354_0,esk355_0)
| ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,esk356_0),esk354_0,esk355_0) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3316,c_0_3317]),c_0_3318]),c_0_3299]),c_0_3300]),c_0_3301]),c_0_3302]),c_0_3303]),c_0_3304]),c_0_3305]),c_0_3306]),c_0_3307]),c_0_3308]),c_0_3319]),c_0_3309]),c_0_3310]),c_0_3311]),c_0_3312]),c_0_3313]),c_0_3320])]),c_0_3321]),c_0_3314]),c_0_3315]) ).
cnf(c_0_3323,negated_conjecture,
m1_subset_1(esk356_0,k1_zfmisc_1(u1_struct_0(esk355_0))),
i_0_2328 ).
cnf(c_0_3324,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0),esk357_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0),esk356_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0),k1_zfmisc_1(u1_struct_0(esk355_0)))
| ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0)),esk354_0,esk355_0)
| ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,esk357_0),esk354_0,esk355_0)
| ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,esk356_0),esk354_0,esk355_0) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3322,c_0_3317]),c_0_3318]),c_0_3299]),c_0_3300]),c_0_3301]),c_0_3302]),c_0_3303]),c_0_3304]),c_0_3305]),c_0_3306]),c_0_3307]),c_0_3308]),c_0_3319]),c_0_3309]),c_0_3310]),c_0_3311]),c_0_3312]),c_0_3313]),c_0_3323])]),c_0_3321]),c_0_3314]),c_0_3315]) ).
cnf(c_0_3325,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m1_rmod_2(k1_rmod_5(X2,X1,X3),X2,X1)
| ~ l3_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v7_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)
| ~ v2_vectsp_2(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_751 ).
cnf(c_0_3326,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0),esk357_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0),esk356_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0),k1_zfmisc_1(u1_struct_0(esk355_0)))
| ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,esk357_0),esk354_0,esk355_0)
| ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,esk356_0),esk354_0,esk355_0) ),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3324,c_0_3325]),c_0_3318]),c_0_3299]),c_0_3300]),c_0_3301]),c_0_3302]),c_0_3303]),c_0_3304]),c_0_3305]),c_0_3306]),c_0_3307]),c_0_3308]),c_0_3319]),c_0_3309]),c_0_3310]),c_0_3311]),c_0_3312]),c_0_3313])]),c_0_3321]),c_0_3314]),c_0_3315]) ).
cnf(c_0_3327,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0),esk357_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0),esk356_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0),k1_zfmisc_1(u1_struct_0(esk355_0)))
| ~ m1_rmod_2(k1_rmod_5(esk354_0,esk355_0,esk356_0),esk354_0,esk355_0) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3326,c_0_3325]),c_0_3318]),c_0_3299]),c_0_3300]),c_0_3301]),c_0_3302]),c_0_3303]),c_0_3304]),c_0_3305]),c_0_3306]),c_0_3307]),c_0_3308]),c_0_3319]),c_0_3309]),c_0_3310]),c_0_3311]),c_0_3312]),c_0_3313]),c_0_3320])]),c_0_3321]),c_0_3314]),c_0_3315]) ).
cnf(c_0_3328,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0),esk357_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0),esk356_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk355_0),esk356_0,esk357_0),k1_zfmisc_1(u1_struct_0(esk355_0))) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3327,c_0_3325]),c_0_3318]),c_0_3299]),c_0_3300]),c_0_3301]),c_0_3302]),c_0_3303]),c_0_3304]),c_0_3305]),c_0_3306]),c_0_3307]),c_0_3308]),c_0_3319]),c_0_3309]),c_0_3310]),c_0_3311]),c_0_3312]),c_0_3313]),c_0_3323])]),c_0_3321]),c_0_3314]),c_0_3315]) ).
cnf(c_0_3329,plain,
( k5_subset_1(X1,X2,X3) = k4_xboole_0(X2,k4_xboole_0(X2,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_1563 ).
cnf(c_0_3330,plain,
r1_tarski(k4_xboole_0(X1,X2),X1),
i_0_3114 ).
cnf(c_0_3331,plain,
k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k4_xboole_0(X2,k4_xboole_0(X2,X1)),
i_0_112 ).
cnf(c_0_3332,plain,
( ~ r1_tarski(k4_xboole_0(esk356_0,k4_xboole_0(esk356_0,esk357_0)),esk357_0)
| ~ m1_subset_1(k4_xboole_0(esk356_0,k4_xboole_0(esk356_0,esk357_0)),k1_zfmisc_1(u1_struct_0(esk355_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3328,c_0_3329]),c_0_3330]),c_0_3320]),c_0_3323])]) ).
cnf(c_0_3333,plain,
r1_tarski(k4_xboole_0(X1,k4_xboole_0(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_3330,c_0_3331]) ).
cnf(c_0_3334,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
i_0_3263 ).
cnf(c_0_3335,plain,
( r1_tarski(k4_xboole_0(X1,X2),X3)
| ~ r1_tarski(X1,X3) ),
i_0_1641 ).
cnf(c_0_3336,plain,
~ m1_subset_1(k4_xboole_0(esk356_0,k4_xboole_0(esk356_0,esk357_0)),k1_zfmisc_1(u1_struct_0(esk355_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3332,c_0_3333])]) ).
cnf(c_0_3337,plain,
( m1_subset_1(k4_xboole_0(X1,X2),k1_zfmisc_1(X3))
| ~ r1_tarski(X1,X3) ),
inference(spm,[status(thm)],[c_0_3334,c_0_3335]) ).
cnf(c_0_3338,plain,
~ r1_tarski(esk356_0,u1_struct_0(esk355_0)),
inference(spm,[status(thm)],[c_0_3336,c_0_3337]) ).
cnf(c_0_3339,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
i_0_3264 ).
cnf(c_0_3340,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3338,c_0_3339]),c_0_3323])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG222+3 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 07:21:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.59/0.77 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.77 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.59/0.77 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.59/0.77 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 13.35/4.60 # ENIGMATIC: Solved by autoschedule-lgb:
% 13.35/4.60 # No SInE strategy applied
% 13.35/4.60 # Trying AutoSched0 for 149 seconds
% 13.35/4.60 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 13.35/4.60 # and selection function SelectMaxLComplexAvoidPosPred.
% 13.35/4.60 #
% 13.35/4.60 # Preprocessing time : 0.052 s
% 13.35/4.60
% 13.35/4.60 # Proof found!
% 13.35/4.60 # SZS status Theorem
% 13.35/4.60 # SZS output start CNFRefutation
% See solution above
% 13.35/4.60 # Training examples: 0 positive, 0 negative
% 13.35/4.60
% 13.35/4.60 # -------------------------------------------------
% 13.35/4.60 # User time : 0.373 s
% 13.35/4.60 # System time : 0.018 s
% 13.35/4.60 # Total time : 0.391 s
% 13.35/4.60 # Maximum resident set size: 7120 pages
% 13.35/4.60
%------------------------------------------------------------------------------