TSTP Solution File: ALG220+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG220+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 15:33:06 EDT 2022
% Result : Theorem 6.40s 3.76s
% Output : CNFRefutation 6.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 40
% Syntax : Number of clauses : 101 ( 63 unt; 33 nHn; 101 RR)
% Number of literals : 697 ( 7 equ; 533 neg)
% Maximal clause size : 29 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 94 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_883,plain,
( l1_vectsp_1(X1)
| ~ l2_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_883) ).
cnf(i_0_886,plain,
( l2_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_886) ).
cnf(i_0_64,plain,
( v3_struct_0(X1)
| v8_vectsp_1(X1)
| ~ l1_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_64) ).
cnf(i_0_1926,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)
| ~ 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)
| ~ v4_group_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-awv4fxau/lgb.p',i_0_1926) ).
cnf(i_0_790,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)
| ~ 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)
| ~ v4_group_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-awv4fxau/lgb.p',i_0_790) ).
cnf(i_0_1979,negated_conjecture,
m1_subset_1(esk308_0,k1_zfmisc_1(u1_struct_0(esk306_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1979) ).
cnf(i_0_1984,negated_conjecture,
v6_rlvect_1(esk306_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1984) ).
cnf(i_0_1985,negated_conjecture,
v5_rlvect_1(esk306_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1985) ).
cnf(i_0_1986,negated_conjecture,
v4_rlvect_1(esk306_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1986) ).
cnf(i_0_1987,negated_conjecture,
v3_rlvect_1(esk306_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1987) ).
cnf(i_0_1988,negated_conjecture,
~ v3_struct_0(esk306_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1988) ).
cnf(i_0_791,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| v3_vectsp_2(k1_rmod_5(X2,X1,X3),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)
| ~ v4_group_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-awv4fxau/lgb.p',i_0_791) ).
cnf(i_0_1980,negated_conjecture,
m1_subset_1(esk307_0,k1_zfmisc_1(u1_struct_0(esk306_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1980) ).
cnf(i_0_1977,negated_conjecture,
r1_tarski(esk307_0,esk308_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1977) ).
cnf(i_0_1981,negated_conjecture,
l1_vectsp_2(esk306_0,esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1981) ).
cnf(i_0_1990,negated_conjecture,
v2_vectsp_2(esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1990) ).
cnf(i_0_1995,negated_conjecture,
v7_group_1(esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1995) ).
cnf(i_0_1996,negated_conjecture,
v4_group_1(esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1996) ).
cnf(i_0_1997,negated_conjecture,
v6_rlvect_1(esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1997) ).
cnf(i_0_1998,negated_conjecture,
v5_rlvect_1(esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1998) ).
cnf(i_0_1999,negated_conjecture,
v4_rlvect_1(esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1999) ).
cnf(i_0_2000,negated_conjecture,
v3_rlvect_1(esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_2000) ).
cnf(i_0_1994,negated_conjecture,
v6_vectsp_1(esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1994) ).
cnf(i_0_1993,negated_conjecture,
v7_vectsp_1(esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1993) ).
cnf(i_0_1989,negated_conjecture,
l3_vectsp_1(esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1989) ).
cnf(i_0_1982,negated_conjecture,
v5_vectsp_2(esk306_0,esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1982) ).
cnf(i_0_1991,negated_conjecture,
~ v10_vectsp_1(esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1991) ).
cnf(i_0_2001,negated_conjecture,
~ v3_struct_0(esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_2001) ).
cnf(i_0_2536,plain,
( X1 = X2
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| ~ l3_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X3)
| ~ v4_group_1(X3)
| ~ l1_vectsp_2(X2,X3)
| ~ l1_vectsp_2(X1,X3)
| ~ v3_vectsp_2(X2,X3)
| ~ v3_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ m1_rmod_2(X2,X3,X1)
| ~ m1_rmod_2(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_2536) ).
cnf(i_0_902,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_vectsp_2(X3,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)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_902) ).
cnf(i_0_901,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| l1_vectsp_2(X3,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)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_901) ).
cnf(i_0_906,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_rlvect_1(X3)
| ~ 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)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_906) ).
cnf(i_0_905,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v4_rlvect_1(X3)
| ~ 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)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_905) ).
cnf(i_0_904,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_rlvect_1(X3)
| ~ 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)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_904) ).
cnf(i_0_903,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v6_rlvect_1(X3)
| ~ 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)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_903) ).
cnf(i_0_907,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v3_struct_0(X3)
| ~ 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)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_907) ).
cnf(i_0_1978,negated_conjecture,
k1_rmod_5(esk305_0,esk306_0,esk307_0) = esk306_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1978) ).
cnf(i_0_1992,negated_conjecture,
v8_vectsp_1(esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1992) ).
cnf(i_0_1983,negated_conjecture,
v3_vectsp_2(esk306_0,esk305_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1983) ).
cnf(i_0_1976,negated_conjecture,
k1_rmod_5(esk305_0,esk306_0,esk308_0) != esk306_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awv4fxau/lgb.p',i_0_1976) ).
cnf(c_0_2577,plain,
( l1_vectsp_1(X1)
| ~ l2_vectsp_1(X1) ),
i_0_883 ).
cnf(c_0_2578,plain,
( l2_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
i_0_886 ).
cnf(c_0_2579,plain,
( v3_struct_0(X1)
| v8_vectsp_1(X1)
| ~ l1_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1) ),
i_0_64 ).
cnf(c_0_2580,plain,
( l1_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_2577,c_0_2578]) ).
cnf(c_0_2581,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)
| ~ 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)
| ~ v4_group_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_1926 ).
cnf(c_0_2582,plain,
( v8_vectsp_1(X1)
| v3_struct_0(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_2579,c_0_2580]) ).
cnf(c_0_2583,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)
| ~ 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)
| ~ v4_group_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_790 ).
cnf(c_0_2584,plain,
( v10_vectsp_1(X1)
| m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r1_tarski(X3,X4)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1) ),
inference(csr,[status(thm)],[c_0_2581,c_0_2582]) ).
cnf(c_0_2585,negated_conjecture,
m1_subset_1(esk308_0,k1_zfmisc_1(u1_struct_0(esk306_0))),
i_0_1979 ).
cnf(c_0_2586,negated_conjecture,
v6_rlvect_1(esk306_0),
i_0_1984 ).
cnf(c_0_2587,negated_conjecture,
v5_rlvect_1(esk306_0),
i_0_1985 ).
cnf(c_0_2588,negated_conjecture,
v4_rlvect_1(esk306_0),
i_0_1986 ).
cnf(c_0_2589,negated_conjecture,
v3_rlvect_1(esk306_0),
i_0_1987 ).
cnf(c_0_2590,negated_conjecture,
~ v3_struct_0(esk306_0),
i_0_1988 ).
cnf(c_0_2591,plain,
( v10_vectsp_1(X1)
| m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1) ),
inference(csr,[status(thm)],[c_0_2583,c_0_2582]) ).
cnf(c_0_2592,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| v3_vectsp_2(k1_rmod_5(X2,X1,X3),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)
| ~ v4_group_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_791 ).
cnf(c_0_2593,negated_conjecture,
( v10_vectsp_1(X1)
| m1_rmod_2(k1_rmod_5(X1,esk306_0,X2),X1,k1_rmod_5(X1,esk306_0,esk308_0))
| v3_struct_0(X1)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(esk306_0)))
| ~ r1_tarski(X2,esk308_0)
| ~ l1_vectsp_2(esk306_0,X1)
| ~ v5_vectsp_2(esk306_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_2584,c_0_2585]),c_0_2586]),c_0_2587]),c_0_2588]),c_0_2589])]),c_0_2590]) ).
cnf(c_0_2594,negated_conjecture,
m1_subset_1(esk307_0,k1_zfmisc_1(u1_struct_0(esk306_0))),
i_0_1980 ).
cnf(c_0_2595,negated_conjecture,
r1_tarski(esk307_0,esk308_0),
i_0_1977 ).
cnf(c_0_2596,negated_conjecture,
( v10_vectsp_1(X1)
| m1_rmod_2(k1_rmod_5(X1,esk306_0,esk308_0),X1,esk306_0)
| v3_struct_0(X1)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ l1_vectsp_2(esk306_0,X1)
| ~ v5_vectsp_2(esk306_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_2591,c_0_2585]),c_0_2586]),c_0_2587]),c_0_2588]),c_0_2589])]),c_0_2590]) ).
cnf(c_0_2597,negated_conjecture,
l1_vectsp_2(esk306_0,esk305_0),
i_0_1981 ).
cnf(c_0_2598,negated_conjecture,
v2_vectsp_2(esk305_0),
i_0_1990 ).
cnf(c_0_2599,negated_conjecture,
v7_group_1(esk305_0),
i_0_1995 ).
cnf(c_0_2600,negated_conjecture,
v4_group_1(esk305_0),
i_0_1996 ).
cnf(c_0_2601,negated_conjecture,
v6_rlvect_1(esk305_0),
i_0_1997 ).
cnf(c_0_2602,negated_conjecture,
v5_rlvect_1(esk305_0),
i_0_1998 ).
cnf(c_0_2603,negated_conjecture,
v4_rlvect_1(esk305_0),
i_0_1999 ).
cnf(c_0_2604,negated_conjecture,
v3_rlvect_1(esk305_0),
i_0_2000 ).
cnf(c_0_2605,negated_conjecture,
v6_vectsp_1(esk305_0),
i_0_1994 ).
cnf(c_0_2606,negated_conjecture,
v7_vectsp_1(esk305_0),
i_0_1993 ).
cnf(c_0_2607,negated_conjecture,
l3_vectsp_1(esk305_0),
i_0_1989 ).
cnf(c_0_2608,negated_conjecture,
v5_vectsp_2(esk306_0,esk305_0),
i_0_1982 ).
cnf(c_0_2609,negated_conjecture,
~ v10_vectsp_1(esk305_0),
i_0_1991 ).
cnf(c_0_2610,negated_conjecture,
~ v3_struct_0(esk305_0),
i_0_2001 ).
cnf(c_0_2611,plain,
( v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_vectsp_2(k1_rmod_5(X1,X2,X3),X1)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1) ),
inference(csr,[status(thm)],[c_0_2592,c_0_2582]) ).
cnf(c_0_2612,plain,
( X1 = X2
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| ~ l3_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X3)
| ~ v4_group_1(X3)
| ~ l1_vectsp_2(X2,X3)
| ~ l1_vectsp_2(X1,X3)
| ~ v3_vectsp_2(X2,X3)
| ~ v3_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ m1_rmod_2(X2,X3,X1)
| ~ m1_rmod_2(X1,X3,X2) ),
i_0_2536 ).
cnf(c_0_2613,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_vectsp_2(X3,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)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_902 ).
cnf(c_0_2614,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| l1_vectsp_2(X3,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)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_901 ).
cnf(c_0_2615,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_rlvect_1(X3)
| ~ 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)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_906 ).
cnf(c_0_2616,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v4_rlvect_1(X3)
| ~ 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)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_905 ).
cnf(c_0_2617,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_rlvect_1(X3)
| ~ 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)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_904 ).
cnf(c_0_2618,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v6_rlvect_1(X3)
| ~ 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)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_903 ).
cnf(c_0_2619,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v3_struct_0(X3)
| ~ 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)
| ~ v4_group_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_907 ).
cnf(c_0_2620,negated_conjecture,
( v10_vectsp_1(X1)
| m1_rmod_2(k1_rmod_5(X1,esk306_0,esk307_0),X1,k1_rmod_5(X1,esk306_0,esk308_0))
| v3_struct_0(X1)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ l1_vectsp_2(esk306_0,X1)
| ~ v5_vectsp_2(esk306_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2593,c_0_2594]),c_0_2595])]) ).
cnf(c_0_2621,negated_conjecture,
k1_rmod_5(esk305_0,esk306_0,esk307_0) = esk306_0,
i_0_1978 ).
cnf(c_0_2622,negated_conjecture,
m1_rmod_2(k1_rmod_5(esk305_0,esk306_0,esk308_0),esk305_0,esk306_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(spm,[status(thm)],[c_0_2596,c_0_2597]),c_0_2598]),c_0_2599]),c_0_2600]),c_0_2601]),c_0_2602]),c_0_2603]),c_0_2604]),c_0_2605]),c_0_2606]),c_0_2607]),c_0_2608])]),c_0_2609]),c_0_2610]) ).
cnf(c_0_2623,negated_conjecture,
v8_vectsp_1(esk305_0),
i_0_1992 ).
cnf(c_0_2624,negated_conjecture,
( v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_vectsp_2(k1_rmod_5(X1,esk306_0,esk308_0),X1)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ l1_vectsp_2(esk306_0,X1)
| ~ v5_vectsp_2(esk306_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_2611,c_0_2585]),c_0_2586]),c_0_2587]),c_0_2588]),c_0_2589])]),c_0_2590]) ).
cnf(c_0_2625,plain,
( X1 = X2
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_rmod_2(X2,X3,X1)
| ~ m1_rmod_2(X1,X3,X2)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v6_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ l3_vectsp_1(X3)
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v3_vectsp_2(X2,X3)
| ~ v3_vectsp_2(X1,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_2612,c_0_2613]),c_0_2614]),c_0_2615]),c_0_2616]),c_0_2617]),c_0_2618]),c_0_2619]) ).
cnf(c_0_2626,negated_conjecture,
m1_rmod_2(esk306_0,esk305_0,k1_rmod_5(esk305_0,esk306_0,esk308_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(spm,[status(thm)],[c_0_2620,c_0_2597]),c_0_2621]),c_0_2598]),c_0_2599]),c_0_2600]),c_0_2601]),c_0_2602]),c_0_2603]),c_0_2604]),c_0_2605]),c_0_2606]),c_0_2607]),c_0_2608])]),c_0_2609]),c_0_2610]) ).
cnf(c_0_2627,plain,
v6_rlvect_1(k1_rmod_5(esk305_0,esk306_0,esk308_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_2618,c_0_2622]),c_0_2600]),c_0_2601]),c_0_2586]),c_0_2602]),c_0_2587]),c_0_2603]),c_0_2588]),c_0_2604]),c_0_2589]),c_0_2605]),c_0_2623]),c_0_2606]),c_0_2607]),c_0_2597]),c_0_2608])]),c_0_2610]),c_0_2590]) ).
cnf(c_0_2628,plain,
v5_rlvect_1(k1_rmod_5(esk305_0,esk306_0,esk308_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_2617,c_0_2622]),c_0_2600]),c_0_2601]),c_0_2586]),c_0_2602]),c_0_2587]),c_0_2603]),c_0_2588]),c_0_2604]),c_0_2589]),c_0_2605]),c_0_2623]),c_0_2606]),c_0_2607]),c_0_2597]),c_0_2608])]),c_0_2610]),c_0_2590]) ).
cnf(c_0_2629,plain,
v4_rlvect_1(k1_rmod_5(esk305_0,esk306_0,esk308_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_2616,c_0_2622]),c_0_2600]),c_0_2601]),c_0_2586]),c_0_2602]),c_0_2587]),c_0_2603]),c_0_2588]),c_0_2604]),c_0_2589]),c_0_2605]),c_0_2623]),c_0_2606]),c_0_2607]),c_0_2597]),c_0_2608])]),c_0_2610]),c_0_2590]) ).
cnf(c_0_2630,plain,
v3_rlvect_1(k1_rmod_5(esk305_0,esk306_0,esk308_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_2615,c_0_2622]),c_0_2600]),c_0_2601]),c_0_2586]),c_0_2602]),c_0_2587]),c_0_2603]),c_0_2588]),c_0_2604]),c_0_2589]),c_0_2605]),c_0_2623]),c_0_2606]),c_0_2607]),c_0_2597]),c_0_2608])]),c_0_2610]),c_0_2590]) ).
cnf(c_0_2631,plain,
l1_vectsp_2(k1_rmod_5(esk305_0,esk306_0,esk308_0),esk305_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_2614,c_0_2622]),c_0_2600]),c_0_2601]),c_0_2586]),c_0_2602]),c_0_2587]),c_0_2603]),c_0_2588]),c_0_2604]),c_0_2589]),c_0_2605]),c_0_2623]),c_0_2606]),c_0_2607]),c_0_2597]),c_0_2608])]),c_0_2610]),c_0_2590]) ).
cnf(c_0_2632,plain,
v5_vectsp_2(k1_rmod_5(esk305_0,esk306_0,esk308_0),esk305_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_2613,c_0_2622]),c_0_2600]),c_0_2601]),c_0_2586]),c_0_2602]),c_0_2587]),c_0_2603]),c_0_2588]),c_0_2604]),c_0_2589]),c_0_2605]),c_0_2623]),c_0_2606]),c_0_2607]),c_0_2597]),c_0_2608])]),c_0_2610]),c_0_2590]) ).
cnf(c_0_2633,negated_conjecture,
v3_vectsp_2(k1_rmod_5(esk305_0,esk306_0,esk308_0),esk305_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(spm,[status(thm)],[c_0_2624,c_0_2597]),c_0_2598]),c_0_2599]),c_0_2600]),c_0_2601]),c_0_2602]),c_0_2603]),c_0_2604]),c_0_2605]),c_0_2606]),c_0_2607]),c_0_2608])]),c_0_2609]),c_0_2610]) ).
cnf(c_0_2634,negated_conjecture,
v3_vectsp_2(esk306_0,esk305_0),
i_0_1983 ).
cnf(c_0_2635,negated_conjecture,
k1_rmod_5(esk305_0,esk306_0,esk308_0) != esk306_0,
i_0_1976 ).
cnf(c_0_2636,plain,
~ v3_struct_0(k1_rmod_5(esk305_0,esk306_0,esk308_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_2619,c_0_2622]),c_0_2600]),c_0_2601]),c_0_2586]),c_0_2602]),c_0_2587]),c_0_2603]),c_0_2588]),c_0_2604]),c_0_2589]),c_0_2605]),c_0_2623]),c_0_2606]),c_0_2607]),c_0_2597]),c_0_2608])]),c_0_2610]),c_0_2590]) ).
cnf(c_0_2637,negated_conjecture,
$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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2625,c_0_2622]),c_0_2626]),c_0_2600]),c_0_2601]),c_0_2627]),c_0_2602]),c_0_2628]),c_0_2603]),c_0_2629]),c_0_2604]),c_0_2630]),c_0_2605]),c_0_2623]),c_0_2606]),c_0_2607]),c_0_2631]),c_0_2632]),c_0_2633]),c_0_2634])]),c_0_2635]),c_0_2610]),c_0_2636]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG220+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n022.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 : Wed Jun 8 14:28:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.38/0.58 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.58 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.38/0.58 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.38/0.58 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 6.40/3.76 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.40/3.76 # No SInE strategy applied
% 6.40/3.76 # Trying AutoSched0 for 150 seconds
% 6.40/3.76 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 6.40/3.76 # and selection function SelectComplexExceptUniqMaxHorn.
% 6.40/3.76 #
% 6.40/3.76 # Preprocessing time : 0.026 s
% 6.40/3.76 # Presaturation interreduction done
% 6.40/3.76
% 6.40/3.76 # Proof found!
% 6.40/3.76 # SZS status Theorem
% 6.40/3.76 # SZS output start CNFRefutation
% See solution above
% 6.40/3.76 # Training examples: 0 positive, 0 negative
% 6.40/3.76
% 6.40/3.76 # -------------------------------------------------
% 6.40/3.76 # User time : 0.048 s
% 6.40/3.76 # System time : 0.003 s
% 6.40/3.76 # Total time : 0.051 s
% 6.40/3.76 # Maximum resident set size: 7120 pages
% 6.40/3.76
%------------------------------------------------------------------------------