%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG222+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 36.87s 9.78s
% Output : CNFRefutation 36.87s
% 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_2586,negated_conjecture,
~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0)),esk416_0,k2_rmod_3(esk416_0,esk417_0,k1_rmod_5(esk416_0,esk417_0,esk418_0),k1_rmod_5(esk416_0,esk417_0,esk419_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2586) ).
cnf(i_0_3159,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_2(X3,X2,k2_rmod_3(X2,X1,X4,X5))
| ~ v4_group_1(X2)
| ~ l3_vectsp_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-3cjisxmt/lgb.p',i_0_3159) ).
cnf(i_0_2604,negated_conjecture,
v6_rlvect_1(esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2604) ).
cnf(i_0_2591,negated_conjecture,
v6_rlvect_1(esk417_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2591) ).
cnf(i_0_2605,negated_conjecture,
v5_rlvect_1(esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2605) ).
cnf(i_0_2592,negated_conjecture,
v5_rlvect_1(esk417_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2592) ).
cnf(i_0_2606,negated_conjecture,
v4_rlvect_1(esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2606) ).
cnf(i_0_2593,negated_conjecture,
v4_rlvect_1(esk417_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2593) ).
cnf(i_0_2607,negated_conjecture,
v3_rlvect_1(esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2607) ).
cnf(i_0_2594,negated_conjecture,
v3_rlvect_1(esk417_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2594) ).
cnf(i_0_2601,negated_conjecture,
v6_vectsp_1(esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2601) ).
cnf(i_0_2599,negated_conjecture,
v8_vectsp_1(esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2599) ).
cnf(i_0_2600,negated_conjecture,
v7_vectsp_1(esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2600) ).
cnf(i_0_2596,negated_conjecture,
l3_vectsp_1(esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2596) ).
cnf(i_0_2603,negated_conjecture,
v4_group_1(esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2603) ).
cnf(i_0_2589,negated_conjecture,
l1_vectsp_2(esk417_0,esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2589) ).
cnf(i_0_2590,negated_conjecture,
v5_vectsp_2(esk417_0,esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2590) ).
cnf(i_0_2595,negated_conjecture,
~ v3_struct_0(esk417_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2595) ).
cnf(i_0_2608,negated_conjecture,
~ v3_struct_0(esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2608) ).
cnf(i_0_2329,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))
| ~ v4_group_1(X2)
| ~ l3_vectsp_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)
| ~ r1_tarski(X3,X4)
| ~ 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-3cjisxmt/lgb.p',i_0_2329) ).
cnf(i_0_2597,negated_conjecture,
v2_vectsp_2(esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2597) ).
cnf(i_0_2602,negated_conjecture,
v7_group_1(esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2602) ).
cnf(i_0_2587,negated_conjecture,
m1_subset_1(esk419_0,k1_zfmisc_1(u1_struct_0(esk417_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2587) ).
cnf(i_0_2598,negated_conjecture,
~ v10_vectsp_1(esk416_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2598) ).
cnf(i_0_2588,negated_conjecture,
m1_subset_1(esk418_0,k1_zfmisc_1(u1_struct_0(esk417_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_2588) ).
cnf(i_0_777,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m1_rmod_2(k1_rmod_5(X2,X1,X3),X2,X1)
| ~ v4_group_1(X2)
| ~ l3_vectsp_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-3cjisxmt/lgb.p',i_0_777) ).
cnf(i_0_1630,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-3cjisxmt/lgb.p',i_0_1630) ).
cnf(i_0_3926,plain,
r1_tarski(k4_xboole_0(X1,X2),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_3926) ).
cnf(i_0_74,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-3cjisxmt/lgb.p',i_0_74) ).
cnf(i_0_4216,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_4216) ).
cnf(i_0_1725,plain,
( r1_tarski(k4_xboole_0(X1,X2),X3)
| ~ r1_tarski(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_1725) ).
cnf(i_0_4217,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjisxmt/lgb.p',i_0_4217) ).
cnf(c_0_4250,negated_conjecture,
~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0)),esk416_0,k2_rmod_3(esk416_0,esk417_0,k1_rmod_5(esk416_0,esk417_0,esk418_0),k1_rmod_5(esk416_0,esk417_0,esk419_0))),
i_0_2586 ).
cnf(c_0_4251,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_2(X3,X2,k2_rmod_3(X2,X1,X4,X5))
| ~ v4_group_1(X2)
| ~ l3_vectsp_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_3159 ).
cnf(c_0_4252,negated_conjecture,
v6_rlvect_1(esk416_0),
i_0_2604 ).
cnf(c_0_4253,negated_conjecture,
v6_rlvect_1(esk417_0),
i_0_2591 ).
cnf(c_0_4254,negated_conjecture,
v5_rlvect_1(esk416_0),
i_0_2605 ).
cnf(c_0_4255,negated_conjecture,
v5_rlvect_1(esk417_0),
i_0_2592 ).
cnf(c_0_4256,negated_conjecture,
v4_rlvect_1(esk416_0),
i_0_2606 ).
cnf(c_0_4257,negated_conjecture,
v4_rlvect_1(esk417_0),
i_0_2593 ).
cnf(c_0_4258,negated_conjecture,
v3_rlvect_1(esk416_0),
i_0_2607 ).
cnf(c_0_4259,negated_conjecture,
v3_rlvect_1(esk417_0),
i_0_2594 ).
cnf(c_0_4260,negated_conjecture,
v6_vectsp_1(esk416_0),
i_0_2601 ).
cnf(c_0_4261,negated_conjecture,
v8_vectsp_1(esk416_0),
i_0_2599 ).
cnf(c_0_4262,negated_conjecture,
v7_vectsp_1(esk416_0),
i_0_2600 ).
cnf(c_0_4263,negated_conjecture,
l3_vectsp_1(esk416_0),
i_0_2596 ).
cnf(c_0_4264,negated_conjecture,
v4_group_1(esk416_0),
i_0_2603 ).
cnf(c_0_4265,negated_conjecture,
l1_vectsp_2(esk417_0,esk416_0),
i_0_2589 ).
cnf(c_0_4266,negated_conjecture,
v5_vectsp_2(esk417_0,esk416_0),
i_0_2590 ).
cnf(c_0_4267,negated_conjecture,
~ v3_struct_0(esk417_0),
i_0_2595 ).
cnf(c_0_4268,negated_conjecture,
~ v3_struct_0(esk416_0),
i_0_2608 ).
cnf(c_0_4269,negated_conjecture,
( ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0)),esk416_0,k1_rmod_5(esk416_0,esk417_0,esk419_0))
| ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0)),esk416_0,k1_rmod_5(esk416_0,esk417_0,esk418_0))
| ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0)),esk416_0,esk417_0)
| ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,esk419_0),esk416_0,esk417_0)
| ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,esk418_0),esk416_0,esk417_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_4250,c_0_4251]),c_0_4252]),c_0_4253]),c_0_4254]),c_0_4255]),c_0_4256]),c_0_4257]),c_0_4258]),c_0_4259]),c_0_4260]),c_0_4261]),c_0_4262]),c_0_4263]),c_0_4264]),c_0_4265]),c_0_4266])]),c_0_4267]),c_0_4268]) ).
cnf(c_0_4270,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))
| ~ v4_group_1(X2)
| ~ l3_vectsp_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)
| ~ r1_tarski(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_2329 ).
cnf(c_0_4271,negated_conjecture,
v2_vectsp_2(esk416_0),
i_0_2597 ).
cnf(c_0_4272,negated_conjecture,
v7_group_1(esk416_0),
i_0_2602 ).
cnf(c_0_4273,negated_conjecture,
m1_subset_1(esk419_0,k1_zfmisc_1(u1_struct_0(esk417_0))),
i_0_2587 ).
cnf(c_0_4274,negated_conjecture,
~ v10_vectsp_1(esk416_0),
i_0_2598 ).
cnf(c_0_4275,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0),esk419_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0),k1_zfmisc_1(u1_struct_0(esk417_0)))
| ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0)),esk416_0,k1_rmod_5(esk416_0,esk417_0,esk418_0))
| ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0)),esk416_0,esk417_0)
| ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,esk419_0),esk416_0,esk417_0)
| ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,esk418_0),esk416_0,esk417_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_4269,c_0_4270]),c_0_4271]),c_0_4252]),c_0_4253]),c_0_4254]),c_0_4255]),c_0_4256]),c_0_4257]),c_0_4258]),c_0_4259]),c_0_4260]),c_0_4261]),c_0_4272]),c_0_4262]),c_0_4263]),c_0_4264]),c_0_4265]),c_0_4266]),c_0_4273])]),c_0_4274]),c_0_4267]),c_0_4268]) ).
cnf(c_0_4276,negated_conjecture,
m1_subset_1(esk418_0,k1_zfmisc_1(u1_struct_0(esk417_0))),
i_0_2588 ).
cnf(c_0_4277,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0),esk419_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0),esk418_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0),k1_zfmisc_1(u1_struct_0(esk417_0)))
| ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0)),esk416_0,esk417_0)
| ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,esk419_0),esk416_0,esk417_0)
| ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,esk418_0),esk416_0,esk417_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_4275,c_0_4270]),c_0_4271]),c_0_4252]),c_0_4253]),c_0_4254]),c_0_4255]),c_0_4256]),c_0_4257]),c_0_4258]),c_0_4259]),c_0_4260]),c_0_4261]),c_0_4272]),c_0_4262]),c_0_4263]),c_0_4264]),c_0_4265]),c_0_4266]),c_0_4276])]),c_0_4274]),c_0_4267]),c_0_4268]) ).
cnf(c_0_4278,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m1_rmod_2(k1_rmod_5(X2,X1,X3),X2,X1)
| ~ v4_group_1(X2)
| ~ l3_vectsp_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_777 ).
cnf(c_0_4279,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0),esk419_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0),esk418_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0),k1_zfmisc_1(u1_struct_0(esk417_0)))
| ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,esk419_0),esk416_0,esk417_0)
| ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,esk418_0),esk416_0,esk417_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_4277,c_0_4278]),c_0_4271]),c_0_4252]),c_0_4253]),c_0_4254]),c_0_4255]),c_0_4256]),c_0_4257]),c_0_4258]),c_0_4259]),c_0_4260]),c_0_4261]),c_0_4272]),c_0_4262]),c_0_4263]),c_0_4264]),c_0_4265]),c_0_4266])]),c_0_4274]),c_0_4267]),c_0_4268]) ).
cnf(c_0_4280,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0),esk419_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0),esk418_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0),k1_zfmisc_1(u1_struct_0(esk417_0)))
| ~ m1_rmod_2(k1_rmod_5(esk416_0,esk417_0,esk418_0),esk416_0,esk417_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_4279,c_0_4278]),c_0_4271]),c_0_4252]),c_0_4253]),c_0_4254]),c_0_4255]),c_0_4256]),c_0_4257]),c_0_4258]),c_0_4259]),c_0_4260]),c_0_4261]),c_0_4272]),c_0_4262]),c_0_4263]),c_0_4264]),c_0_4265]),c_0_4266]),c_0_4273])]),c_0_4274]),c_0_4267]),c_0_4268]) ).
cnf(c_0_4281,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0),esk419_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0),esk418_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk417_0),esk418_0,esk419_0),k1_zfmisc_1(u1_struct_0(esk417_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_4280,c_0_4278]),c_0_4271]),c_0_4252]),c_0_4253]),c_0_4254]),c_0_4255]),c_0_4256]),c_0_4257]),c_0_4258]),c_0_4259]),c_0_4260]),c_0_4261]),c_0_4272]),c_0_4262]),c_0_4263]),c_0_4264]),c_0_4265]),c_0_4266]),c_0_4276])]),c_0_4274]),c_0_4267]),c_0_4268]) ).
cnf(c_0_4282,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_1630 ).
cnf(c_0_4283,plain,
r1_tarski(k4_xboole_0(X1,X2),X1),
i_0_3926 ).
cnf(c_0_4284,plain,
k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k4_xboole_0(X2,k4_xboole_0(X2,X1)),
i_0_74 ).
cnf(c_0_4285,plain,
( ~ r1_tarski(k4_xboole_0(esk418_0,k4_xboole_0(esk418_0,esk419_0)),esk419_0)
| ~ m1_subset_1(k4_xboole_0(esk418_0,k4_xboole_0(esk418_0,esk419_0)),k1_zfmisc_1(u1_struct_0(esk417_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4281,c_0_4282]),c_0_4283]),c_0_4273]),c_0_4276])]) ).
cnf(c_0_4286,plain,
r1_tarski(k4_xboole_0(X1,k4_xboole_0(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_4283,c_0_4284]) ).
cnf(c_0_4287,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
i_0_4216 ).
cnf(c_0_4288,plain,
( r1_tarski(k4_xboole_0(X1,X2),X3)
| ~ r1_tarski(X1,X3) ),
i_0_1725 ).
cnf(c_0_4289,plain,
~ m1_subset_1(k4_xboole_0(esk418_0,k4_xboole_0(esk418_0,esk419_0)),k1_zfmisc_1(u1_struct_0(esk417_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4285,c_0_4286])]) ).
cnf(c_0_4290,plain,
( m1_subset_1(k4_xboole_0(X1,X2),k1_zfmisc_1(X3))
| ~ r1_tarski(X1,X3) ),
inference(spm,[status(thm)],[c_0_4287,c_0_4288]) ).
cnf(c_0_4291,plain,
~ r1_tarski(esk418_0,u1_struct_0(esk417_0)),
inference(spm,[status(thm)],[c_0_4289,c_0_4290]) ).
cnf(c_0_4292,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
i_0_4217 ).
cnf(c_0_4293,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4291,c_0_4292]),c_0_4276])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG222+4 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 21:50:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 1.05/1.27 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.05/1.27 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.05/1.27 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.05/1.27 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 36.87/9.78 # ENIGMATIC: Solved by autoschedule-lgb:
% 36.87/9.78 # No SInE strategy applied
% 36.87/9.78 # Trying AutoSched0 for 148 seconds
% 36.87/9.78 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 36.87/9.78 # and selection function SelectMaxLComplexAvoidPosPred.
% 36.87/9.78 #
% 36.87/9.78 # Preprocessing time : 0.043 s
% 36.87/9.78
% 36.87/9.78 # Proof found!
% 36.87/9.78 # SZS status Theorem
% 36.87/9.78 # SZS output start CNFRefutation
% See solution above
% 36.87/9.78 # Training examples: 0 positive, 0 negative
% 36.87/9.78
% 36.87/9.78 # -------------------------------------------------
% 36.87/9.78 # User time : 2.668 s
% 36.87/9.78 # System time : 0.058 s
% 36.87/9.78 # Total time : 2.726 s
% 36.87/9.78 # Maximum resident set size: 7124 pages
% 36.87/9.78
%------------------------------------------------------------------------------