%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG217+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 15:33:03 EDT 2022
% Result : Theorem 19.75s 3.84s
% Output : CNFRefutation 19.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 46
% Syntax : Number of clauses : 133 ( 55 unt; 54 nHn; 123 RR)
% Number of literals : 1190 ( 57 equ; 928 neg)
% Maximal clause size : 40 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 1 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-4 aty)
% Number of variables : 194 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_53,plain,
( l2_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_53) ).
cnf(i_0_61,plain,
( l1_rlvect_1(X1)
| ~ l3_vectsp_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_61) ).
cnf(i_0_65,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| l1_vectsp_2(X3,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)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_65) ).
cnf(i_0_42,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_2(k1_rmod_2(X2,X1),X2,X1)
| ~ 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)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_42) ).
cnf(i_0_57,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_57) ).
cnf(i_0_56,plain,
( l1_rlvect_1(X1)
| ~ l1_struct_0(X2)
| ~ l1_vectsp_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_56) ).
cnf(i_0_180,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_180) ).
cnf(i_0_47,plain,
v1_xboole_0(k1_subset_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_47) ).
cnf(i_0_175,plain,
( k5_rmod_4(X1,X2,X3) = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(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)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_175) ).
cnf(i_0_111,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m2_rmod_4(esk19_3(X3,X2,X1),X2,X1,k1_subset_1(u1_struct_0(X1)))
| ~ 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)
| ~ v7_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ r2_hidden(X3,a_2_0_rmod_5(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_111) ).
cnf(i_0_177,plain,
( X1 = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v4_group_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v5_vectsp_2(X2,X3)
| ~ l1_vectsp_2(X2,X3)
| ~ r1_rlvect_1(k1_rmod_2(X3,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_177) ).
cnf(i_0_33,plain,
( r1_rlvect_1(X1,X2)
| ~ l1_struct_0(X1)
| ~ r2_hidden(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_33) ).
cnf(i_0_110,plain,
( k5_rmod_4(X1,X2,esk19_3(X3,X1,X2)) = X3
| v3_struct_0(X2)
| v3_struct_0(X1)
| v10_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)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ r2_hidden(X3,a_2_0_rmod_5(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_110) ).
cnf(i_0_168,plain,
( X1 = X2
| r2_hidden(esk33_2(X1,X2),X2)
| r2_hidden(esk33_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_168) ).
cnf(i_0_2,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_3) ).
cnf(i_0_9,negated_conjecture,
l3_vectsp_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
v2_vectsp_2(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_10) ).
cnf(i_0_12,negated_conjecture,
v8_vectsp_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_12) ).
cnf(i_0_13,negated_conjecture,
v7_vectsp_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_13) ).
cnf(i_0_14,negated_conjecture,
v6_vectsp_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_14) ).
cnf(i_0_15,negated_conjecture,
v7_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_15) ).
cnf(i_0_16,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_16) ).
cnf(i_0_4,negated_conjecture,
v6_rlvect_1(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_4) ).
cnf(i_0_17,negated_conjecture,
v6_rlvect_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_17) ).
cnf(i_0_5,negated_conjecture,
v5_rlvect_1(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_5) ).
cnf(i_0_18,negated_conjecture,
v5_rlvect_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_18) ).
cnf(i_0_6,negated_conjecture,
v4_rlvect_1(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_6) ).
cnf(i_0_19,negated_conjecture,
v4_rlvect_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_19) ).
cnf(i_0_7,negated_conjecture,
v3_rlvect_1(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_7) ).
cnf(i_0_20,negated_conjecture,
v3_rlvect_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_20) ).
cnf(i_0_11,negated_conjecture,
~ v10_vectsp_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_11) ).
cnf(i_0_21,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_21) ).
cnf(i_0_8,negated_conjecture,
~ v3_struct_0(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_8) ).
cnf(i_0_166,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_rlvect_1(X3,k1_rlvect_1(X1))
| ~ 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)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_166) ).
cnf(i_0_109,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| r2_hidden(X3,a_2_0_rmod_5(X2,X1))
| X3 != k5_rmod_4(X2,X1,X4)
| ~ 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)
| ~ v7_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m2_rmod_4(X4,X2,X1,k1_subset_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_109) ).
cnf(i_0_169,plain,
( X1 = X2
| ~ r2_hidden(esk33_2(X1,X2),X2)
| ~ r2_hidden(esk33_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_169) ).
cnf(i_0_34,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ r1_rlvect_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_34) ).
cnf(i_0_46,plain,
m1_subset_1(k1_subset_1(X1),k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_46) ).
cnf(i_0_102,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_rmod_4(esk18_3(X2,X1,X3),X2,X1,X3)
| ~ 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)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_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-ez284f7i/input.p',i_0_102) ).
cnf(i_0_35,plain,
( X1 = k1_rmod_5(X2,X3,X4)
| v3_struct_0(X3)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| u1_struct_0(X1) != a_3_0_rmod_5(X2,X3,X4)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v7_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2)
| ~ v3_vectsp_2(X1,X2)
| ~ m1_rmod_2(X1,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_35) ).
cnf(i_0_113,plain,
( k5_rmod_4(X1,X2,esk20_4(X3,X1,X2,X4)) = X3
| v3_struct_0(X2)
| v3_struct_0(X1)
| v10_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)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r2_hidden(X3,a_3_0_rmod_5(X1,X2,X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_113) ).
cnf(i_0_1,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,k1_subset_1(u1_struct_0(esk2_0))) != k1_rmod_2(esk1_0,esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_1) ).
cnf(i_0_114,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m2_rmod_4(esk20_4(X3,X2,X1,X4),X2,X1,X4)
| ~ 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)
| ~ v7_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X3,a_3_0_rmod_5(X2,X1,X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_114) ).
cnf(i_0_112,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| r2_hidden(X3,a_3_0_rmod_5(X2,X1,X4))
| X3 != k5_rmod_4(X2,X1,X5)
| ~ 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)
| ~ v7_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m2_rmod_4(X5,X2,X1,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_112) ).
cnf(i_0_43,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_vectsp_2(k1_rmod_2(X2,X1),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)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ez284f7i/input.p',i_0_43) ).
cnf(c_0_227,plain,
( l2_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
i_0_53 ).
cnf(c_0_228,plain,
( l1_rlvect_1(X1)
| ~ l3_vectsp_1(X1) ),
i_0_61 ).
cnf(c_0_229,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| l1_vectsp_2(X3,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)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_65 ).
cnf(c_0_230,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_2(k1_rmod_2(X2,X1),X2,X1)
| ~ 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)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2) ),
i_0_42 ).
cnf(c_0_231,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
i_0_57 ).
cnf(c_0_232,plain,
( l2_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_233,plain,
( l1_rlvect_1(X1)
| ~ l1_struct_0(X2)
| ~ l1_vectsp_2(X1,X2) ),
i_0_56 ).
cnf(c_0_234,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| l1_vectsp_2(k1_rmod_2(X1,X2),X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_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) ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_235,plain,
( l1_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_236,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
i_0_180 ).
cnf(c_0_237,plain,
v1_xboole_0(k1_subset_1(X1)),
i_0_47 ).
cnf(c_0_238,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| l1_rlvect_1(k1_rmod_2(X2,X1))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]) ).
cnf(c_0_239,plain,
( k5_rmod_4(X1,X2,X3) = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(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)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2))) ),
i_0_175 ).
cnf(c_0_240,plain,
k1_subset_1(X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_241,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m2_rmod_4(esk19_3(X3,X2,X1),X2,X1,k1_subset_1(u1_struct_0(X1)))
| ~ 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)
| ~ v7_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ r2_hidden(X3,a_2_0_rmod_5(X2,X1)) ),
i_0_111 ).
cnf(c_0_242,plain,
( X1 = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v4_group_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v5_vectsp_2(X2,X3)
| ~ l1_vectsp_2(X2,X3)
| ~ r1_rlvect_1(k1_rmod_2(X3,X2),X1) ),
i_0_177 ).
cnf(c_0_243,plain,
( r1_rlvect_1(X1,X2)
| ~ l1_struct_0(X1)
| ~ r2_hidden(X2,u1_struct_0(X1)) ),
i_0_33 ).
cnf(c_0_244,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| l2_struct_0(k1_rmod_2(X1,X2))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_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) ),
inference(spm,[status(thm)],[c_0_227,c_0_238]) ).
cnf(c_0_245,plain,
( k5_rmod_4(X1,X2,esk19_3(X3,X1,X2)) = X3
| v3_struct_0(X2)
| v3_struct_0(X1)
| v10_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)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ r2_hidden(X3,a_2_0_rmod_5(X1,X2)) ),
i_0_110 ).
cnf(c_0_246,plain,
( k5_rmod_4(X1,X2,X3) = k1_rlvect_1(X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m2_rmod_4(X3,X1,X2,k1_xboole_0)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(rw,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_247,plain,
( m2_rmod_4(esk19_3(X1,X2,X3),X2,X3,k1_xboole_0)
| v10_vectsp_1(X2)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ r2_hidden(X1,a_2_0_rmod_5(X2,X3))
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(rw,[status(thm)],[c_0_241,c_0_240]) ).
cnf(c_0_248,plain,
( X1 = k1_rlvect_1(X2)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ r2_hidden(X1,u1_struct_0(k1_rmod_2(X3,X2)))
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ l1_struct_0(k1_rmod_2(X3,X2))
| ~ l3_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ 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) ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_249,plain,
( X1 = X2
| r2_hidden(esk33_2(X1,X2),X2)
| r2_hidden(esk33_2(X1,X2),X1) ),
i_0_168 ).
cnf(c_0_250,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| l1_struct_0(k1_rmod_2(X2,X1))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_244]) ).
cnf(c_0_251,plain,
( k1_rlvect_1(X1) = X2
| v10_vectsp_1(X3)
| v3_struct_0(X1)
| v3_struct_0(X3)
| ~ r2_hidden(X2,a_2_0_rmod_5(X3,X1))
| ~ l1_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ l3_vectsp_1(X3)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]) ).
cnf(c_0_252,plain,
( esk33_2(u1_struct_0(k1_rmod_2(X1,X2)),X3) = k1_rlvect_1(X2)
| u1_struct_0(k1_rmod_2(X1,X2)) = X3
| r2_hidden(esk33_2(u1_struct_0(k1_rmod_2(X1,X2)),X3),X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_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) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]) ).
cnf(c_0_253,plain,
( esk33_2(u1_struct_0(k1_rmod_2(X1,X2)),a_2_0_rmod_5(X3,X4)) = k1_rlvect_1(X2)
| esk33_2(u1_struct_0(k1_rmod_2(X1,X2)),a_2_0_rmod_5(X3,X4)) = k1_rlvect_1(X4)
| u1_struct_0(k1_rmod_2(X1,X2)) = a_2_0_rmod_5(X3,X4)
| v10_vectsp_1(X3)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v3_struct_0(X4)
| ~ l1_vectsp_2(X4,X3)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X4,X3)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X3)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X3)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X3)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X4)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X4)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X4)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X4)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_254,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
i_0_2 ).
cnf(c_0_255,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
i_0_3 ).
cnf(c_0_256,negated_conjecture,
l3_vectsp_1(esk1_0),
i_0_9 ).
cnf(c_0_257,negated_conjecture,
v2_vectsp_2(esk1_0),
i_0_10 ).
cnf(c_0_258,negated_conjecture,
v8_vectsp_1(esk1_0),
i_0_12 ).
cnf(c_0_259,negated_conjecture,
v7_vectsp_1(esk1_0),
i_0_13 ).
cnf(c_0_260,negated_conjecture,
v6_vectsp_1(esk1_0),
i_0_14 ).
cnf(c_0_261,negated_conjecture,
v7_group_1(esk1_0),
i_0_15 ).
cnf(c_0_262,negated_conjecture,
v4_group_1(esk1_0),
i_0_16 ).
cnf(c_0_263,negated_conjecture,
v6_rlvect_1(esk2_0),
i_0_4 ).
cnf(c_0_264,negated_conjecture,
v6_rlvect_1(esk1_0),
i_0_17 ).
cnf(c_0_265,negated_conjecture,
v5_rlvect_1(esk2_0),
i_0_5 ).
cnf(c_0_266,negated_conjecture,
v5_rlvect_1(esk1_0),
i_0_18 ).
cnf(c_0_267,negated_conjecture,
v4_rlvect_1(esk2_0),
i_0_6 ).
cnf(c_0_268,negated_conjecture,
v4_rlvect_1(esk1_0),
i_0_19 ).
cnf(c_0_269,negated_conjecture,
v3_rlvect_1(esk2_0),
i_0_7 ).
cnf(c_0_270,negated_conjecture,
v3_rlvect_1(esk1_0),
i_0_20 ).
cnf(c_0_271,negated_conjecture,
~ v10_vectsp_1(esk1_0),
i_0_11 ).
cnf(c_0_272,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_21 ).
cnf(c_0_273,negated_conjecture,
~ v3_struct_0(esk2_0),
i_0_8 ).
cnf(c_0_274,negated_conjecture,
( esk33_2(u1_struct_0(k1_rmod_2(X1,X2)),a_2_0_rmod_5(esk1_0,esk2_0)) = k1_rlvect_1(esk2_0)
| esk33_2(u1_struct_0(k1_rmod_2(X1,X2)),a_2_0_rmod_5(esk1_0,esk2_0)) = k1_rlvect_1(X2)
| u1_struct_0(k1_rmod_2(X1,X2)) = a_2_0_rmod_5(esk1_0,esk2_0)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_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) ),
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_253,c_0_254]),c_0_255]),c_0_256]),c_0_257]),c_0_258]),c_0_259]),c_0_260]),c_0_261]),c_0_262]),c_0_263]),c_0_264]),c_0_265]),c_0_266]),c_0_267]),c_0_268]),c_0_269]),c_0_270])]),c_0_271]),c_0_272]),c_0_273]) ).
cnf(c_0_275,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_rlvect_1(X3,k1_rlvect_1(X1))
| ~ 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)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_rmod_2(X3,X2,X1) ),
i_0_166 ).
cnf(c_0_276,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| r2_hidden(X3,a_2_0_rmod_5(X2,X1))
| X3 != k5_rmod_4(X2,X1,X4)
| ~ 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)
| ~ v7_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m2_rmod_4(X4,X2,X1,k1_subset_1(u1_struct_0(X1))) ),
i_0_109 ).
cnf(c_0_277,plain,
( X1 = X2
| ~ r2_hidden(esk33_2(X1,X2),X2)
| ~ r2_hidden(esk33_2(X1,X2),X1) ),
i_0_169 ).
cnf(c_0_278,negated_conjecture,
( esk33_2(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)),a_2_0_rmod_5(esk1_0,esk2_0)) = k1_rlvect_1(esk2_0)
| u1_struct_0(k1_rmod_2(esk1_0,esk2_0)) = a_2_0_rmod_5(esk1_0,esk2_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(spm,[status(thm)],[c_0_274,c_0_254]),c_0_255]),c_0_256]),c_0_258]),c_0_259]),c_0_260]),c_0_262]),c_0_264]),c_0_263]),c_0_266]),c_0_265]),c_0_268]),c_0_267]),c_0_270]),c_0_269])]),c_0_273]),c_0_272]) ).
cnf(c_0_279,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ r1_rlvect_1(X2,X1) ),
i_0_34 ).
cnf(c_0_280,plain,
( r1_rlvect_1(k1_rmod_2(X1,X2),k1_rlvect_1(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_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) ),
inference(spm,[status(thm)],[c_0_275,c_0_230]) ).
cnf(c_0_281,plain,
( r2_hidden(X1,a_2_0_rmod_5(X2,X3))
| v10_vectsp_1(X2)
| v3_struct_0(X3)
| v3_struct_0(X2)
| X1 != k5_rmod_4(X2,X3,X4)
| ~ m2_rmod_4(X4,X2,X3,k1_xboole_0)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(rw,[status(thm)],[c_0_276,c_0_240]) ).
cnf(c_0_282,plain,
m1_subset_1(k1_subset_1(X1),k1_zfmisc_1(X1)),
i_0_46 ).
cnf(c_0_283,plain,
( u1_struct_0(k1_rmod_2(esk1_0,esk2_0)) = a_2_0_rmod_5(esk1_0,esk2_0)
| ~ r2_hidden(k1_rlvect_1(esk2_0),u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| ~ r2_hidden(k1_rlvect_1(esk2_0),a_2_0_rmod_5(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_284,plain,
( r2_hidden(k1_rlvect_1(X1),u1_struct_0(k1_rmod_2(X2,X1)))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_250]) ).
cnf(c_0_285,plain,
( r2_hidden(X1,a_2_0_rmod_5(X2,X3))
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_rlvect_1(X3)
| ~ m2_rmod_4(X4,X2,X3,k1_xboole_0)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(spm,[status(thm)],[c_0_281,c_0_246]) ).
cnf(c_0_286,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_rmod_4(esk18_3(X2,X1,X3),X2,X1,X3)
| ~ 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)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_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_102 ).
cnf(c_0_287,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[c_0_282,c_0_240]) ).
cnf(c_0_288,plain,
( X1 = k1_rmod_5(X2,X3,X4)
| v3_struct_0(X3)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| u1_struct_0(X1) != a_3_0_rmod_5(X2,X3,X4)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v7_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2)
| ~ v3_vectsp_2(X1,X2)
| ~ m1_rmod_2(X1,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ),
i_0_35 ).
cnf(c_0_289,plain,
( u1_struct_0(k1_rmod_2(esk1_0,esk2_0)) = a_2_0_rmod_5(esk1_0,esk2_0)
| ~ r2_hidden(k1_rlvect_1(esk2_0),a_2_0_rmod_5(esk1_0,esk2_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_283,c_0_284]),c_0_254]),c_0_255]),c_0_256]),c_0_258]),c_0_259]),c_0_260]),c_0_262]),c_0_264]),c_0_263]),c_0_266]),c_0_265]),c_0_268]),c_0_267]),c_0_270]),c_0_269])]),c_0_273]),c_0_272]) ).
cnf(c_0_290,plain,
( r2_hidden(X1,a_2_0_rmod_5(X2,X3))
| v10_vectsp_1(X2)
| v3_struct_0(X3)
| v3_struct_0(X2)
| X1 != k1_rlvect_1(X3)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_287])]) ).
cnf(c_0_291,plain,
( k5_rmod_4(X1,X2,esk20_4(X3,X1,X2,X4)) = X3
| v3_struct_0(X2)
| v3_struct_0(X1)
| v10_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)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r2_hidden(X3,a_3_0_rmod_5(X1,X2,X4)) ),
i_0_113 ).
cnf(c_0_292,plain,
( X1 = k1_rmod_5(X2,X3,k1_xboole_0)
| v10_vectsp_1(X2)
| v3_struct_0(X3)
| v3_struct_0(X2)
| u1_struct_0(X1) != a_3_0_rmod_5(X2,X3,k1_xboole_0)
| ~ m1_rmod_2(X1,X2,X3)
| ~ v3_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ 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) ),
inference(spm,[status(thm)],[c_0_288,c_0_287]) ).
cnf(c_0_293,plain,
u1_struct_0(k1_rmod_2(esk1_0,esk2_0)) = a_2_0_rmod_5(esk1_0,esk2_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_289,c_0_290]),c_0_254]),c_0_255]),c_0_256]),c_0_257]),c_0_258]),c_0_259]),c_0_260]),c_0_261]),c_0_262]),c_0_264]),c_0_263]),c_0_266]),c_0_265]),c_0_268]),c_0_267]),c_0_270]),c_0_269])]),c_0_271]),c_0_273]),c_0_272]) ).
cnf(c_0_294,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,k1_subset_1(u1_struct_0(esk2_0))) != k1_rmod_2(esk1_0,esk2_0),
i_0_1 ).
cnf(c_0_295,plain,
( r2_hidden(X1,a_2_0_rmod_5(X2,X3))
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m2_rmod_4(esk20_4(X1,X2,X3,X4),X2,X3,k1_xboole_0)
| ~ r2_hidden(X1,a_3_0_rmod_5(X2,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_291])]) ).
cnf(c_0_296,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m2_rmod_4(esk20_4(X3,X2,X1,X4),X2,X1,X4)
| ~ 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)
| ~ v7_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X3,a_3_0_rmod_5(X2,X1,X4)) ),
i_0_114 ).
cnf(c_0_297,plain,
( k1_rmod_5(X1,X2,k1_xboole_0) = k1_rmod_2(esk1_0,esk2_0)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| a_2_0_rmod_5(esk1_0,esk2_0) != a_3_0_rmod_5(X1,X2,k1_xboole_0)
| ~ m1_rmod_2(k1_rmod_2(esk1_0,esk2_0),X1,X2)
| ~ v3_vectsp_2(k1_rmod_2(esk1_0,esk2_0),X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_298,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,k1_xboole_0) != k1_rmod_2(esk1_0,esk2_0),
inference(rw,[status(thm)],[c_0_294,c_0_240]) ).
cnf(c_0_299,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| r2_hidden(X3,a_3_0_rmod_5(X2,X1,X4))
| X3 != k5_rmod_4(X2,X1,X5)
| ~ 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)
| ~ v7_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ m2_rmod_4(X5,X2,X1,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_112 ).
cnf(c_0_300,plain,
( X1 = k1_rlvect_1(esk2_0)
| ~ r2_hidden(X1,a_2_0_rmod_5(esk1_0,esk2_0))
| ~ l1_struct_0(k1_rmod_2(esk1_0,esk2_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_248,c_0_293]),c_0_254]),c_0_255]),c_0_256]),c_0_258]),c_0_259]),c_0_260]),c_0_262]),c_0_264]),c_0_263]),c_0_266]),c_0_265]),c_0_268]),c_0_267]),c_0_270]),c_0_269])]),c_0_272]),c_0_273]) ).
cnf(c_0_301,plain,
( r2_hidden(X1,a_2_0_rmod_5(X2,X3))
| v10_vectsp_1(X2)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ r2_hidden(X1,a_3_0_rmod_5(X2,X3,k1_xboole_0))
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_287])]) ).
cnf(c_0_302,plain,
( a_2_0_rmod_5(esk1_0,esk2_0) != a_3_0_rmod_5(esk1_0,esk2_0,k1_xboole_0)
| ~ v3_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[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_297,c_0_230]),c_0_254]),c_0_255]),c_0_256]),c_0_257]),c_0_258]),c_0_259]),c_0_260]),c_0_261]),c_0_262]),c_0_263]),c_0_264]),c_0_265]),c_0_266]),c_0_267]),c_0_268]),c_0_269]),c_0_270])]),c_0_298]),c_0_271]),c_0_272]),c_0_273]) ).
cnf(c_0_303,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_vectsp_2(k1_rmod_2(X2,X1),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)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2) ),
i_0_43 ).
cnf(c_0_304,plain,
( r2_hidden(X1,a_3_0_rmod_5(X2,X3,k1_xboole_0))
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| X1 != k5_rmod_4(X2,X3,esk19_3(X4,X2,X3))
| ~ r2_hidden(X4,a_2_0_rmod_5(X2,X3))
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_247]),c_0_287])]) ).
cnf(c_0_305,plain,
( X1 = k1_rlvect_1(esk2_0)
| ~ r2_hidden(X1,a_3_0_rmod_5(esk1_0,esk2_0,k1_xboole_0))
| ~ l1_struct_0(k1_rmod_2(esk1_0,esk2_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_300,c_0_301]),c_0_254]),c_0_255]),c_0_256]),c_0_257]),c_0_258]),c_0_259]),c_0_260]),c_0_261]),c_0_262]),c_0_264]),c_0_263]),c_0_266]),c_0_265]),c_0_268]),c_0_267]),c_0_270]),c_0_269])]),c_0_271]),c_0_273]),c_0_272]) ).
cnf(c_0_306,plain,
( esk33_2(a_2_0_rmod_5(esk1_0,esk2_0),X1) = k1_rlvect_1(esk2_0)
| a_2_0_rmod_5(esk1_0,esk2_0) = X1
| r2_hidden(esk33_2(a_2_0_rmod_5(esk1_0,esk2_0),X1),X1)
| ~ l1_struct_0(k1_rmod_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_300,c_0_249]) ).
cnf(c_0_307,plain,
a_2_0_rmod_5(esk1_0,esk2_0) != a_3_0_rmod_5(esk1_0,esk2_0,k1_xboole_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_302,c_0_303]),c_0_254]),c_0_255]),c_0_256]),c_0_258]),c_0_259]),c_0_260]),c_0_262]),c_0_264]),c_0_263]),c_0_266]),c_0_265]),c_0_268]),c_0_267]),c_0_270]),c_0_269])]),c_0_273]),c_0_272]) ).
cnf(c_0_308,plain,
( r2_hidden(X1,a_3_0_rmod_5(X2,X3,k1_xboole_0))
| v10_vectsp_1(X2)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ r2_hidden(X1,a_2_0_rmod_5(X2,X3))
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_245])]) ).
cnf(c_0_309,plain,
r2_hidden(k1_rlvect_1(esk2_0),a_2_0_rmod_5(esk1_0,esk2_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_284,c_0_293]),c_0_254]),c_0_255]),c_0_256]),c_0_258]),c_0_259]),c_0_260]),c_0_262]),c_0_264]),c_0_263]),c_0_266]),c_0_265]),c_0_268]),c_0_267]),c_0_270]),c_0_269])]),c_0_273]),c_0_272]) ).
cnf(c_0_310,plain,
( esk33_2(a_2_0_rmod_5(esk1_0,esk2_0),a_3_0_rmod_5(esk1_0,esk2_0,k1_xboole_0)) = k1_rlvect_1(esk2_0)
| ~ l1_struct_0(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307]) ).
cnf(c_0_311,plain,
r2_hidden(k1_rlvect_1(esk2_0),a_3_0_rmod_5(esk1_0,esk2_0,k1_xboole_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_308,c_0_309]),c_0_254]),c_0_255]),c_0_256]),c_0_257]),c_0_258]),c_0_259]),c_0_260]),c_0_261]),c_0_262]),c_0_264]),c_0_263]),c_0_266]),c_0_265]),c_0_268]),c_0_267]),c_0_270]),c_0_269])]),c_0_271]),c_0_273]),c_0_272]) ).
cnf(c_0_312,plain,
~ l1_struct_0(k1_rmod_2(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_310]),c_0_311]),c_0_309])]),c_0_307]) ).
cnf(c_0_313,plain,
$false,
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_312,c_0_250]),c_0_254]),c_0_255]),c_0_256]),c_0_258]),c_0_259]),c_0_260]),c_0_262]),c_0_264]),c_0_263]),c_0_266]),c_0_265]),c_0_268]),c_0_267]),c_0_270]),c_0_269])]),c_0_273]),c_0_272]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG217+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n028.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 10:01:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 19.75/3.84 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 19.75/3.84 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 46; version: 991; iters: 150)
% 19.75/3.84 # Preprocessing time : 1.170 s
% 19.75/3.84
% 19.75/3.84 # Proof found!
% 19.75/3.84 # SZS status Theorem
% 19.75/3.84 # SZS output start CNFRefutation
% See solution above
% 19.75/3.84 # Training examples: 0 positive, 0 negative
% 19.75/3.84
% 19.75/3.84 # -------------------------------------------------
% 19.75/3.84 # User time : 1.395 s
% 19.75/3.84 # System time : 0.148 s
% 19.75/3.84 # Total time : 1.543 s
% 19.75/3.84 # ...preprocessing : 1.170 s
% 19.75/3.84 # ...main loop : 0.373 s
% 19.75/3.84 # Maximum resident set size: 175120 pages
% 19.75/3.84
%------------------------------------------------------------------------------