TSTP Solution File: ALG220+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG220+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:33:05 EDT 2022
% Result : Theorem 8.13s 2.49s
% Output : CNFRefutation 8.13s
% 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_52,plain,
( l1_vectsp_1(X1)
| ~ l2_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_52) ).
cnf(i_0_53,plain,
( l2_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_53) ).
cnf(i_0_31,plain,
( v3_struct_0(X1)
| v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l1_vectsp_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_31) ).
cnf(i_0_138,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))
| ~ 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)
| ~ 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-967orjle/lgb.p',i_0_138) ).
cnf(i_0_40,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m1_rmod_2(k1_rmod_5(X2,X1,X3),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)
| ~ 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(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_40) ).
cnf(i_0_4,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_4) ).
cnf(i_0_9,negated_conjecture,
v6_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
v5_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_10) ).
cnf(i_0_11,negated_conjecture,
v4_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_11) ).
cnf(i_0_12,negated_conjecture,
v3_rlvect_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_12) ).
cnf(i_0_13,negated_conjecture,
~ v3_struct_0(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_13) ).
cnf(i_0_41,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| v3_vectsp_2(k1_rmod_5(X2,X1,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)
| ~ 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(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_41) ).
cnf(i_0_5,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_5) ).
cnf(i_0_2,negated_conjecture,
r1_tarski(esk3_0,esk4_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_2) ).
cnf(i_0_6,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_6) ).
cnf(i_0_15,negated_conjecture,
v2_vectsp_2(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_15) ).
cnf(i_0_20,negated_conjecture,
v7_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_20) ).
cnf(i_0_14,negated_conjecture,
l3_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_14) ).
cnf(i_0_17,negated_conjecture,
v8_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_17) ).
cnf(i_0_18,negated_conjecture,
v7_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_18) ).
cnf(i_0_21,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_21) ).
cnf(i_0_22,negated_conjecture,
v6_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_22) ).
cnf(i_0_23,negated_conjecture,
v5_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_23) ).
cnf(i_0_24,negated_conjecture,
v4_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_24) ).
cnf(i_0_25,negated_conjecture,
v3_rlvect_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_25) ).
cnf(i_0_7,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_7) ).
cnf(i_0_16,negated_conjecture,
~ v10_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_16) ).
cnf(i_0_26,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_26) ).
cnf(i_0_141,plain,
( X1 = X2
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(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)
| ~ v6_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v3_vectsp_2(X2,X3)
| ~ v3_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ l1_vectsp_2(X2,X3)
| ~ l1_vectsp_2(X1,X3)
| ~ m1_rmod_2(X2,X3,X1)
| ~ m1_rmod_2(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_141) ).
cnf(i_0_57,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_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/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_57) ).
cnf(i_0_56,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/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_56) ).
cnf(i_0_61,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_rlvect_1(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_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_61) ).
cnf(i_0_60,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v4_rlvect_1(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_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_60) ).
cnf(i_0_59,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_rlvect_1(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_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_59) ).
cnf(i_0_58,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v6_rlvect_1(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_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_58) ).
cnf(i_0_62,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v3_struct_0(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_rmod_2(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_62) ).
cnf(i_0_3,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,esk3_0) = esk2_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_3) ).
cnf(i_0_19,negated_conjecture,
v6_vectsp_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_19) ).
cnf(i_0_8,negated_conjecture,
v3_vectsp_2(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_8) ).
cnf(i_0_1,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,esk4_0) != esk2_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-967orjle/lgb.p',i_0_1) ).
cnf(c_0_182,plain,
( l1_vectsp_1(X1)
| ~ l2_vectsp_1(X1) ),
i_0_52 ).
cnf(c_0_183,plain,
( l2_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
i_0_53 ).
cnf(c_0_184,plain,
( v3_struct_0(X1)
| v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l1_vectsp_1(X1) ),
i_0_31 ).
cnf(c_0_185,plain,
( l1_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_186,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))
| ~ 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)
| ~ 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_138 ).
cnf(c_0_187,plain,
( v6_vectsp_1(X1)
| v3_struct_0(X1)
| ~ v7_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_188,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| m1_rmod_2(k1_rmod_5(X2,X1,X3),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)
| ~ 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(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_40 ).
cnf(c_0_189,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)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_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)
| ~ 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_186,c_0_187]) ).
cnf(c_0_190,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
i_0_4 ).
cnf(c_0_191,negated_conjecture,
v6_rlvect_1(esk2_0),
i_0_9 ).
cnf(c_0_192,negated_conjecture,
v5_rlvect_1(esk2_0),
i_0_10 ).
cnf(c_0_193,negated_conjecture,
v4_rlvect_1(esk2_0),
i_0_11 ).
cnf(c_0_194,negated_conjecture,
v3_rlvect_1(esk2_0),
i_0_12 ).
cnf(c_0_195,negated_conjecture,
~ v3_struct_0(esk2_0),
i_0_13 ).
cnf(c_0_196,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)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_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)
| ~ 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_188,c_0_187]) ).
cnf(c_0_197,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X2)
| v3_vectsp_2(k1_rmod_5(X2,X1,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)
| ~ 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(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_41 ).
cnf(c_0_198,negated_conjecture,
( v10_vectsp_1(X1)
| m1_rmod_2(k1_rmod_5(X1,esk2_0,X2),X1,k1_rmod_5(X1,esk2_0,esk4_0))
| v3_struct_0(X1)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ r1_tarski(X2,esk4_0)
| ~ l1_vectsp_2(esk2_0,X1)
| ~ v5_vectsp_2(esk2_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_189,c_0_190]),c_0_191]),c_0_192]),c_0_193]),c_0_194])]),c_0_195]) ).
cnf(c_0_199,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
i_0_5 ).
cnf(c_0_200,negated_conjecture,
r1_tarski(esk3_0,esk4_0),
i_0_2 ).
cnf(c_0_201,negated_conjecture,
( v10_vectsp_1(X1)
| m1_rmod_2(k1_rmod_5(X1,esk2_0,esk4_0),X1,esk2_0)
| v3_struct_0(X1)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(esk2_0,X1)
| ~ v5_vectsp_2(esk2_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_196,c_0_190]),c_0_191]),c_0_192]),c_0_193]),c_0_194])]),c_0_195]) ).
cnf(c_0_202,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
i_0_6 ).
cnf(c_0_203,negated_conjecture,
v2_vectsp_2(esk1_0),
i_0_15 ).
cnf(c_0_204,negated_conjecture,
v7_group_1(esk1_0),
i_0_20 ).
cnf(c_0_205,negated_conjecture,
l3_vectsp_1(esk1_0),
i_0_14 ).
cnf(c_0_206,negated_conjecture,
v8_vectsp_1(esk1_0),
i_0_17 ).
cnf(c_0_207,negated_conjecture,
v7_vectsp_1(esk1_0),
i_0_18 ).
cnf(c_0_208,negated_conjecture,
v4_group_1(esk1_0),
i_0_21 ).
cnf(c_0_209,negated_conjecture,
v6_rlvect_1(esk1_0),
i_0_22 ).
cnf(c_0_210,negated_conjecture,
v5_rlvect_1(esk1_0),
i_0_23 ).
cnf(c_0_211,negated_conjecture,
v4_rlvect_1(esk1_0),
i_0_24 ).
cnf(c_0_212,negated_conjecture,
v3_rlvect_1(esk1_0),
i_0_25 ).
cnf(c_0_213,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
i_0_7 ).
cnf(c_0_214,negated_conjecture,
~ v10_vectsp_1(esk1_0),
i_0_16 ).
cnf(c_0_215,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_26 ).
cnf(c_0_216,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)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_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)
| ~ 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_197,c_0_187]) ).
cnf(c_0_217,plain,
( X1 = X2
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(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)
| ~ v6_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v3_vectsp_2(X2,X3)
| ~ v3_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ l1_vectsp_2(X2,X3)
| ~ l1_vectsp_2(X1,X3)
| ~ m1_rmod_2(X2,X3,X1)
| ~ m1_rmod_2(X1,X3,X2) ),
i_0_141 ).
cnf(c_0_218,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_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_57 ).
cnf(c_0_219,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_56 ).
cnf(c_0_220,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_rlvect_1(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_rmod_2(X3,X2,X1) ),
i_0_61 ).
cnf(c_0_221,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v4_rlvect_1(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_rmod_2(X3,X2,X1) ),
i_0_60 ).
cnf(c_0_222,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_rlvect_1(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_rmod_2(X3,X2,X1) ),
i_0_59 ).
cnf(c_0_223,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v6_rlvect_1(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_rmod_2(X3,X2,X1) ),
i_0_58 ).
cnf(c_0_224,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v3_struct_0(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_rmod_2(X3,X2,X1) ),
i_0_62 ).
cnf(c_0_225,negated_conjecture,
( v10_vectsp_1(X1)
| m1_rmod_2(k1_rmod_5(X1,esk2_0,esk3_0),X1,k1_rmod_5(X1,esk2_0,esk4_0))
| v3_struct_0(X1)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(esk2_0,X1)
| ~ v5_vectsp_2(esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200])]) ).
cnf(c_0_226,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,esk3_0) = esk2_0,
i_0_3 ).
cnf(c_0_227,negated_conjecture,
m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),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(spm,[status(thm)],[c_0_201,c_0_202]),c_0_203]),c_0_204]),c_0_205]),c_0_206]),c_0_207]),c_0_208]),c_0_209]),c_0_210]),c_0_211]),c_0_212]),c_0_213])]),c_0_214]),c_0_215]) ).
cnf(c_0_228,negated_conjecture,
v6_vectsp_1(esk1_0),
i_0_19 ).
cnf(c_0_229,negated_conjecture,
( v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_vectsp_2(k1_rmod_5(X1,esk2_0,esk4_0),X1)
| ~ v2_vectsp_2(X1)
| ~ v7_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(esk2_0,X1)
| ~ v5_vectsp_2(esk2_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_216,c_0_190]),c_0_191]),c_0_192]),c_0_193]),c_0_194])]),c_0_195]) ).
cnf(c_0_230,plain,
( X1 = X2
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_rmod_2(X2,X3,X1)
| ~ m1_rmod_2(X1,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)
| ~ 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_217,c_0_218]),c_0_219]),c_0_220]),c_0_221]),c_0_222]),c_0_223]),c_0_224]) ).
cnf(c_0_231,negated_conjecture,
m1_rmod_2(esk2_0,esk1_0,k1_rmod_5(esk1_0,esk2_0,esk4_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_225,c_0_202]),c_0_226]),c_0_203]),c_0_204]),c_0_205]),c_0_206]),c_0_207]),c_0_208]),c_0_209]),c_0_210]),c_0_211]),c_0_212]),c_0_213])]),c_0_214]),c_0_215]) ).
cnf(c_0_232,plain,
v6_rlvect_1(k1_rmod_5(esk1_0,esk2_0,esk4_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_223,c_0_227]),c_0_205]),c_0_206]),c_0_207]),c_0_228]),c_0_208]),c_0_209]),c_0_191]),c_0_210]),c_0_192]),c_0_211]),c_0_193]),c_0_212]),c_0_194]),c_0_202]),c_0_213])]),c_0_215]),c_0_195]) ).
cnf(c_0_233,plain,
v5_rlvect_1(k1_rmod_5(esk1_0,esk2_0,esk4_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_222,c_0_227]),c_0_205]),c_0_206]),c_0_207]),c_0_228]),c_0_208]),c_0_209]),c_0_191]),c_0_210]),c_0_192]),c_0_211]),c_0_193]),c_0_212]),c_0_194]),c_0_202]),c_0_213])]),c_0_215]),c_0_195]) ).
cnf(c_0_234,plain,
v4_rlvect_1(k1_rmod_5(esk1_0,esk2_0,esk4_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_221,c_0_227]),c_0_205]),c_0_206]),c_0_207]),c_0_228]),c_0_208]),c_0_209]),c_0_191]),c_0_210]),c_0_192]),c_0_211]),c_0_193]),c_0_212]),c_0_194]),c_0_202]),c_0_213])]),c_0_215]),c_0_195]) ).
cnf(c_0_235,plain,
v3_rlvect_1(k1_rmod_5(esk1_0,esk2_0,esk4_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_220,c_0_227]),c_0_205]),c_0_206]),c_0_207]),c_0_228]),c_0_208]),c_0_209]),c_0_191]),c_0_210]),c_0_192]),c_0_211]),c_0_193]),c_0_212]),c_0_194]),c_0_202]),c_0_213])]),c_0_215]),c_0_195]) ).
cnf(c_0_236,plain,
l1_vectsp_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_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_219,c_0_227]),c_0_205]),c_0_206]),c_0_207]),c_0_228]),c_0_208]),c_0_209]),c_0_191]),c_0_210]),c_0_192]),c_0_211]),c_0_193]),c_0_212]),c_0_194]),c_0_202]),c_0_213])]),c_0_215]),c_0_195]) ).
cnf(c_0_237,plain,
v5_vectsp_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_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_218,c_0_227]),c_0_205]),c_0_206]),c_0_207]),c_0_228]),c_0_208]),c_0_209]),c_0_191]),c_0_210]),c_0_192]),c_0_211]),c_0_193]),c_0_212]),c_0_194]),c_0_202]),c_0_213])]),c_0_215]),c_0_195]) ).
cnf(c_0_238,negated_conjecture,
v3_vectsp_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_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_229,c_0_202]),c_0_203]),c_0_204]),c_0_205]),c_0_206]),c_0_207]),c_0_208]),c_0_209]),c_0_210]),c_0_211]),c_0_212]),c_0_213])]),c_0_214]),c_0_215]) ).
cnf(c_0_239,negated_conjecture,
v3_vectsp_2(esk2_0,esk1_0),
i_0_8 ).
cnf(c_0_240,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,esk4_0) != esk2_0,
i_0_1 ).
cnf(c_0_241,plain,
~ v3_struct_0(k1_rmod_5(esk1_0,esk2_0,esk4_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_224,c_0_227]),c_0_205]),c_0_206]),c_0_207]),c_0_228]),c_0_208]),c_0_209]),c_0_191]),c_0_210]),c_0_192]),c_0_211]),c_0_193]),c_0_212]),c_0_194]),c_0_202]),c_0_213])]),c_0_215]),c_0_195]) ).
cnf(c_0_242,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_230,c_0_227]),c_0_231]),c_0_205]),c_0_206]),c_0_207]),c_0_228]),c_0_208]),c_0_209]),c_0_232]),c_0_210]),c_0_233]),c_0_211]),c_0_234]),c_0_212]),c_0_235]),c_0_236]),c_0_237]),c_0_238]),c_0_239])]),c_0_240]),c_0_215]),c_0_241]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG220+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n026.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 22:06:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 8.13/2.49 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.13/2.49 # No SInE strategy applied
% 8.13/2.49 # Trying AutoSched0 for 150 seconds
% 8.13/2.49 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.13/2.49 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.13/2.49 #
% 8.13/2.49 # Preprocessing time : 0.026 s
% 8.13/2.49 # Presaturation interreduction done
% 8.13/2.49
% 8.13/2.49 # Proof found!
% 8.13/2.49 # SZS status Theorem
% 8.13/2.49 # SZS output start CNFRefutation
% See solution above
% 8.13/2.49 # Training examples: 0 positive, 0 negative
% 8.13/2.49
% 8.13/2.49 # -------------------------------------------------
% 8.13/2.49 # User time : 0.040 s
% 8.13/2.49 # System time : 0.006 s
% 8.13/2.49 # Total time : 0.046 s
% 8.13/2.49 # Maximum resident set size: 7120 pages
% 8.13/2.49
%------------------------------------------------------------------------------