TSTP Solution File: ALG220+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG220+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 10.07s 4.22s
% Output   : CNFRefutation 10.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   40
% Syntax   : Number of clauses     :   95 (  56 unt;  29 nHn;  95 RR)
%            Number of literals    :  643 (   8 equ; 493 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   :   95 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_881,plain,
    ( l1_vectsp_1(X1)
    | ~ l2_vectsp_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_881) ).

cnf(i_0_884,plain,
    ( l2_vectsp_1(X1)
    | ~ l3_vectsp_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_884) ).

cnf(i_0_70,plain,
    ( v3_struct_0(X1)
    | v8_vectsp_1(X1)
    | ~ v7_group_1(X1)
    | ~ l1_vectsp_1(X1)
    | ~ v6_vectsp_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_70) ).

cnf(i_0_781,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v10_vectsp_1(X2)
    | v3_vectsp_2(k1_rmod_5(X2,X1,X3),X2)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v7_group_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v2_vectsp_2(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_781) ).

cnf(i_0_780,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v10_vectsp_1(X2)
    | m1_rmod_2(k1_rmod_5(X2,X1,X3),X2,X1)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v7_group_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v2_vectsp_2(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_780) ).

cnf(i_0_2134,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v10_vectsp_1(X2)
    | m1_rmod_2(k1_rmod_5(X2,X1,X3),X2,k1_rmod_5(X2,X1,X4))
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v7_group_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v2_vectsp_2(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ r1_tarski(X3,X4)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2134) ).

cnf(i_0_2984,plain,
    ( X1 = X2
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X3)
    | ~ v4_group_1(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)
    | ~ 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-fs9rszk6/lgb.p',i_0_2984) ).

cnf(i_0_904,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v5_vectsp_2(X3,X2)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_rmod_2(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_904) ).

cnf(i_0_903,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | l1_vectsp_2(X3,X2)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_rmod_2(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_903) ).

cnf(i_0_908,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v3_rlvect_1(X3)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_rmod_2(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_908) ).

cnf(i_0_907,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v4_rlvect_1(X3)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_rmod_2(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_907) ).

cnf(i_0_906,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v5_rlvect_1(X3)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_rmod_2(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_906) ).

cnf(i_0_905,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v6_rlvect_1(X3)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_rmod_2(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_905) ).

cnf(i_0_909,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ v3_struct_0(X3)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_rmod_2(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_909) ).

cnf(i_0_2193,negated_conjecture,
    l1_vectsp_2(esk357_0,esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2193) ).

cnf(i_0_2202,negated_conjecture,
    v2_vectsp_2(esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2202) ).

cnf(i_0_2207,negated_conjecture,
    v7_group_1(esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2207) ).

cnf(i_0_2209,negated_conjecture,
    v6_rlvect_1(esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2209) ).

cnf(i_0_2196,negated_conjecture,
    v6_rlvect_1(esk357_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2196) ).

cnf(i_0_2210,negated_conjecture,
    v5_rlvect_1(esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2210) ).

cnf(i_0_2197,negated_conjecture,
    v5_rlvect_1(esk357_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2197) ).

cnf(i_0_2211,negated_conjecture,
    v4_rlvect_1(esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2211) ).

cnf(i_0_2198,negated_conjecture,
    v4_rlvect_1(esk357_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2198) ).

cnf(i_0_2212,negated_conjecture,
    v3_rlvect_1(esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2212) ).

cnf(i_0_2199,negated_conjecture,
    v3_rlvect_1(esk357_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2199) ).

cnf(i_0_2206,negated_conjecture,
    v6_vectsp_1(esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2206) ).

cnf(i_0_2205,negated_conjecture,
    v7_vectsp_1(esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2205) ).

cnf(i_0_2201,negated_conjecture,
    l3_vectsp_1(esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2201) ).

cnf(i_0_2208,negated_conjecture,
    v4_group_1(esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2208) ).

cnf(i_0_2194,negated_conjecture,
    v5_vectsp_2(esk357_0,esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2194) ).

cnf(i_0_2203,negated_conjecture,
    ~ v10_vectsp_1(esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2203) ).

cnf(i_0_2213,negated_conjecture,
    ~ v3_struct_0(esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2213) ).

cnf(i_0_2200,negated_conjecture,
    ~ v3_struct_0(esk357_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2200) ).

cnf(i_0_2195,negated_conjecture,
    v3_vectsp_2(esk357_0,esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2195) ).

cnf(i_0_2204,negated_conjecture,
    v8_vectsp_1(esk356_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2204) ).

cnf(i_0_2191,negated_conjecture,
    m1_subset_1(esk359_0,k1_zfmisc_1(u1_struct_0(esk357_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2191) ).

cnf(i_0_2188,negated_conjecture,
    k1_rmod_5(esk356_0,esk357_0,esk359_0) != esk357_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2188) ).

cnf(i_0_2192,negated_conjecture,
    m1_subset_1(esk358_0,k1_zfmisc_1(u1_struct_0(esk357_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2192) ).

cnf(i_0_2190,negated_conjecture,
    k1_rmod_5(esk356_0,esk357_0,esk358_0) = esk357_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2190) ).

cnf(i_0_2189,negated_conjecture,
    r1_tarski(esk358_0,esk359_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fs9rszk6/lgb.p',i_0_2189) ).

cnf(c_0_3025,plain,
    ( l1_vectsp_1(X1)
    | ~ l2_vectsp_1(X1) ),
    i_0_881 ).

cnf(c_0_3026,plain,
    ( l2_vectsp_1(X1)
    | ~ l3_vectsp_1(X1) ),
    i_0_884 ).

cnf(c_0_3027,plain,
    ( v3_struct_0(X1)
    | v8_vectsp_1(X1)
    | ~ v7_group_1(X1)
    | ~ l1_vectsp_1(X1)
    | ~ v6_vectsp_1(X1) ),
    i_0_70 ).

cnf(c_0_3028,plain,
    ( l1_vectsp_1(X1)
    | ~ l3_vectsp_1(X1) ),
    inference(spm,[status(thm)],[c_0_3025,c_0_3026]) ).

cnf(c_0_3029,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v10_vectsp_1(X2)
    | v3_vectsp_2(k1_rmod_5(X2,X1,X3),X2)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v7_group_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v2_vectsp_2(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_781 ).

cnf(c_0_3030,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_3027,c_0_3028]) ).

cnf(c_0_3031,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v10_vectsp_1(X2)
    | m1_rmod_2(k1_rmod_5(X2,X1,X3),X2,X1)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v7_group_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v2_vectsp_2(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_780 ).

cnf(c_0_3032,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v10_vectsp_1(X2)
    | m1_rmod_2(k1_rmod_5(X2,X1,X3),X2,k1_rmod_5(X2,X1,X4))
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v7_group_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v2_vectsp_2(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ r1_tarski(X3,X4)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_2134 ).

cnf(c_0_3033,plain,
    ( X1 = X2
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X3)
    | ~ v4_group_1(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)
    | ~ 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_2984 ).

cnf(c_0_3034,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v5_vectsp_2(X3,X2)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_rmod_2(X3,X2,X1) ),
    i_0_904 ).

cnf(c_0_3035,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | l1_vectsp_2(X3,X2)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_rmod_2(X3,X2,X1) ),
    i_0_903 ).

cnf(c_0_3036,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v3_rlvect_1(X3)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_rmod_2(X3,X2,X1) ),
    i_0_908 ).

cnf(c_0_3037,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v4_rlvect_1(X3)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_rmod_2(X3,X2,X1) ),
    i_0_907 ).

cnf(c_0_3038,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v5_rlvect_1(X3)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_rmod_2(X3,X2,X1) ),
    i_0_906 ).

cnf(c_0_3039,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v6_rlvect_1(X3)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_rmod_2(X3,X2,X1) ),
    i_0_905 ).

cnf(c_0_3040,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ v3_struct_0(X3)
    | ~ v4_group_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ m1_rmod_2(X3,X2,X1) ),
    i_0_909 ).

cnf(c_0_3041,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)
    | ~ 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)
    | ~ v4_group_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(csr,[status(thm)],[c_0_3029,c_0_3030]) ).

cnf(c_0_3042,negated_conjecture,
    l1_vectsp_2(esk357_0,esk356_0),
    i_0_2193 ).

cnf(c_0_3043,negated_conjecture,
    v2_vectsp_2(esk356_0),
    i_0_2202 ).

cnf(c_0_3044,negated_conjecture,
    v7_group_1(esk356_0),
    i_0_2207 ).

cnf(c_0_3045,negated_conjecture,
    v6_rlvect_1(esk356_0),
    i_0_2209 ).

cnf(c_0_3046,negated_conjecture,
    v6_rlvect_1(esk357_0),
    i_0_2196 ).

cnf(c_0_3047,negated_conjecture,
    v5_rlvect_1(esk356_0),
    i_0_2210 ).

cnf(c_0_3048,negated_conjecture,
    v5_rlvect_1(esk357_0),
    i_0_2197 ).

cnf(c_0_3049,negated_conjecture,
    v4_rlvect_1(esk356_0),
    i_0_2211 ).

cnf(c_0_3050,negated_conjecture,
    v4_rlvect_1(esk357_0),
    i_0_2198 ).

cnf(c_0_3051,negated_conjecture,
    v3_rlvect_1(esk356_0),
    i_0_2212 ).

cnf(c_0_3052,negated_conjecture,
    v3_rlvect_1(esk357_0),
    i_0_2199 ).

cnf(c_0_3053,negated_conjecture,
    v6_vectsp_1(esk356_0),
    i_0_2206 ).

cnf(c_0_3054,negated_conjecture,
    v7_vectsp_1(esk356_0),
    i_0_2205 ).

cnf(c_0_3055,negated_conjecture,
    l3_vectsp_1(esk356_0),
    i_0_2201 ).

cnf(c_0_3056,negated_conjecture,
    v4_group_1(esk356_0),
    i_0_2208 ).

cnf(c_0_3057,negated_conjecture,
    v5_vectsp_2(esk357_0,esk356_0),
    i_0_2194 ).

cnf(c_0_3058,negated_conjecture,
    ~ v10_vectsp_1(esk356_0),
    i_0_2203 ).

cnf(c_0_3059,negated_conjecture,
    ~ v3_struct_0(esk356_0),
    i_0_2213 ).

cnf(c_0_3060,negated_conjecture,
    ~ v3_struct_0(esk357_0),
    i_0_2200 ).

cnf(c_0_3061,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)
    | ~ 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)
    | ~ v4_group_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(csr,[status(thm)],[c_0_3031,c_0_3030]) ).

cnf(c_0_3062,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)
    | ~ 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)
    | ~ v4_group_1(X1)
    | ~ r1_tarski(X3,X4)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(csr,[status(thm)],[c_0_3032,c_0_3030]) ).

cnf(c_0_3063,plain,
    ( X1 = X2
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m1_rmod_2(X2,X3,X1)
    | ~ m1_rmod_2(X1,X3,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)
    | ~ v6_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ l3_vectsp_1(X3)
    | ~ v4_group_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_3033,c_0_3034]),c_0_3035]),c_0_3036]),c_0_3037]),c_0_3038]),c_0_3039]),c_0_3040]) ).

cnf(c_0_3064,negated_conjecture,
    v3_vectsp_2(esk357_0,esk356_0),
    i_0_2195 ).

cnf(c_0_3065,negated_conjecture,
    v8_vectsp_1(esk356_0),
    i_0_2204 ).

cnf(c_0_3066,negated_conjecture,
    ( v3_vectsp_2(k1_rmod_5(esk356_0,esk357_0,X1),esk356_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk357_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(spm,[status(thm)],[c_0_3041,c_0_3042]),c_0_3043]),c_0_3044]),c_0_3045]),c_0_3046]),c_0_3047]),c_0_3048]),c_0_3049]),c_0_3050]),c_0_3051]),c_0_3052]),c_0_3053]),c_0_3054]),c_0_3055]),c_0_3056]),c_0_3057])]),c_0_3058]),c_0_3059]),c_0_3060]) ).

cnf(c_0_3067,negated_conjecture,
    m1_subset_1(esk359_0,k1_zfmisc_1(u1_struct_0(esk357_0))),
    i_0_2191 ).

cnf(c_0_3068,negated_conjecture,
    ( m1_rmod_2(k1_rmod_5(esk356_0,esk357_0,X1),esk356_0,esk357_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk357_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(spm,[status(thm)],[c_0_3061,c_0_3042]),c_0_3043]),c_0_3044]),c_0_3045]),c_0_3046]),c_0_3047]),c_0_3048]),c_0_3049]),c_0_3050]),c_0_3051]),c_0_3052]),c_0_3053]),c_0_3054]),c_0_3055]),c_0_3056]),c_0_3057])]),c_0_3058]),c_0_3059]),c_0_3060]) ).

cnf(c_0_3069,negated_conjecture,
    ( m1_rmod_2(k1_rmod_5(esk356_0,esk357_0,X1),esk356_0,k1_rmod_5(esk356_0,esk357_0,X2))
    | ~ r1_tarski(X1,X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(esk357_0)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk357_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(spm,[status(thm)],[c_0_3062,c_0_3042]),c_0_3043]),c_0_3044]),c_0_3045]),c_0_3046]),c_0_3047]),c_0_3048]),c_0_3049]),c_0_3050]),c_0_3051]),c_0_3052]),c_0_3053]),c_0_3054]),c_0_3055]),c_0_3056]),c_0_3057])]),c_0_3058]),c_0_3059]),c_0_3060]) ).

cnf(c_0_3070,negated_conjecture,
    ( X1 = esk357_0
    | ~ m1_rmod_2(esk357_0,esk356_0,X1)
    | ~ m1_rmod_2(X1,esk356_0,esk357_0)
    | ~ v3_vectsp_2(X1,esk356_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_3063,c_0_3064]),c_0_3045]),c_0_3046]),c_0_3047]),c_0_3048]),c_0_3049]),c_0_3050]),c_0_3051]),c_0_3052]),c_0_3053]),c_0_3065]),c_0_3054]),c_0_3055]),c_0_3056]),c_0_3042]),c_0_3057])]),c_0_3059]),c_0_3060]) ).

cnf(c_0_3071,negated_conjecture,
    v3_vectsp_2(k1_rmod_5(esk356_0,esk357_0,esk359_0),esk356_0),
    inference(spm,[status(thm)],[c_0_3066,c_0_3067]) ).

cnf(c_0_3072,negated_conjecture,
    m1_rmod_2(k1_rmod_5(esk356_0,esk357_0,esk359_0),esk356_0,esk357_0),
    inference(spm,[status(thm)],[c_0_3068,c_0_3067]) ).

cnf(c_0_3073,negated_conjecture,
    k1_rmod_5(esk356_0,esk357_0,esk359_0) != esk357_0,
    i_0_2188 ).

cnf(c_0_3074,negated_conjecture,
    ( m1_rmod_2(k1_rmod_5(esk356_0,esk357_0,X1),esk356_0,k1_rmod_5(esk356_0,esk357_0,esk359_0))
    | ~ r1_tarski(X1,esk359_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk357_0))) ),
    inference(spm,[status(thm)],[c_0_3069,c_0_3067]) ).

cnf(c_0_3075,negated_conjecture,
    m1_subset_1(esk358_0,k1_zfmisc_1(u1_struct_0(esk357_0))),
    i_0_2192 ).

cnf(c_0_3076,negated_conjecture,
    k1_rmod_5(esk356_0,esk357_0,esk358_0) = esk357_0,
    i_0_2190 ).

cnf(c_0_3077,negated_conjecture,
    r1_tarski(esk358_0,esk359_0),
    i_0_2189 ).

cnf(c_0_3078,negated_conjecture,
    ~ m1_rmod_2(esk357_0,esk356_0,k1_rmod_5(esk356_0,esk357_0,esk359_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3070,c_0_3071]),c_0_3072])]),c_0_3073]) ).

cnf(c_0_3079,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3074,c_0_3075]),c_0_3076]),c_0_3077])]),c_0_3078]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG220+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n027.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 : Thu Jun  9 01:38:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.56/0.78  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.78  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.56/0.78  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.56/0.78  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.07/4.22  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.07/4.22  # No SInE strategy applied
% 10.07/4.22  # Trying AutoSched0 for 149 seconds
% 10.07/4.22  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 10.07/4.22  # and selection function SelectCQIPrecWNTNp.
% 10.07/4.22  #
% 10.07/4.22  # Preprocessing time       : 0.029 s
% 10.07/4.22  # Presaturation interreduction done
% 10.07/4.22  
% 10.07/4.22  # Proof found!
% 10.07/4.22  # SZS status Theorem
% 10.07/4.22  # SZS output start CNFRefutation
% See solution above
% 10.07/4.22  # Training examples: 0 positive, 0 negative
% 10.07/4.22  
% 10.07/4.22  # -------------------------------------------------
% 10.07/4.22  # User time                : 0.070 s
% 10.07/4.22  # System time              : 0.005 s
% 10.07/4.22  # Total time               : 0.075 s
% 10.07/4.22  # Maximum resident set size: 7120 pages
% 10.07/4.22  
%------------------------------------------------------------------------------