TSTP Solution File: ALG216+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG216+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 15.21s 7.26s
% Output   : CNFRefutation 15.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   57 (  43 unt;  14 nHn;  57 RR)
%            Number of literals    :  287 (  15 equ; 210 neg)
%            Maximal clause size   :   22 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :   36 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_696,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(k3_rmod_4(X2,X1),X2,X1)
    | ~ v4_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)
    | ~ v7_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ l1_vectsp_2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_696) ).

cnf(i_0_5694,negated_conjecture,
    v5_vectsp_2(esk799_0,esk798_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5694) ).

cnf(i_0_5700,negated_conjecture,
    l3_vectsp_1(esk798_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5700) ).

cnf(i_0_5702,negated_conjecture,
    v7_vectsp_1(esk798_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5702) ).

cnf(i_0_5705,negated_conjecture,
    v6_rlvect_1(esk798_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5705) ).

cnf(i_0_5695,negated_conjecture,
    v6_rlvect_1(esk799_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5695) ).

cnf(i_0_5706,negated_conjecture,
    v5_rlvect_1(esk798_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5706) ).

cnf(i_0_5696,negated_conjecture,
    v5_rlvect_1(esk799_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5696) ).

cnf(i_0_5707,negated_conjecture,
    v4_rlvect_1(esk798_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5707) ).

cnf(i_0_5697,negated_conjecture,
    v4_rlvect_1(esk799_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5697) ).

cnf(i_0_5708,negated_conjecture,
    v3_rlvect_1(esk798_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5708) ).

cnf(i_0_5698,negated_conjecture,
    v3_rlvect_1(esk799_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5698) ).

cnf(i_0_5703,negated_conjecture,
    v6_vectsp_1(esk798_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5703) ).

cnf(i_0_5701,negated_conjecture,
    v8_vectsp_1(esk798_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5701) ).

cnf(i_0_5704,negated_conjecture,
    v4_group_1(esk798_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5704) ).

cnf(i_0_5693,negated_conjecture,
    l1_vectsp_2(esk799_0,esk798_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5693) ).

cnf(i_0_5709,negated_conjecture,
    ~ v3_struct_0(esk798_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5709) ).

cnf(i_0_5699,negated_conjecture,
    ~ v3_struct_0(esk799_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5699) ).

cnf(i_0_4472,plain,
    ( k5_rmod_4(X1,X2,k3_rmod_4(X1,X2)) = k1_rlvect_1(X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v6_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)
    | ~ v7_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_4472) ).

cnf(i_0_5328,plain,
    ( k1_rlvect_1(X1) = k2_group_1(X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | X3 != k1_rlvect_1(X2)
    | ~ v4_group_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v6_vectsp_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)
    | ~ v7_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5328) ).

cnf(i_0_711,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_subset_1(k5_rmod_4(X2,X1,X3),u1_struct_0(X1))
    | ~ v4_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)
    | ~ v7_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ m1_rmod_4(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_711) ).

cnf(i_0_5327,plain,
    ( k1_rlvect_1(X1) = k2_group_1(X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | X3 != k1_rlvect_1(X2)
    | ~ v4_group_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v6_vectsp_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)
    | ~ v7_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ v1_rmod_5(k8_rlvect_2(X2,X4,X3),X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5327) ).

cnf(i_0_5690,negated_conjecture,
    ( v1_rmod_5(k8_rlvect_2(esk799_0,esk800_0,k1_rlvect_1(esk799_0)),esk798_0,esk799_0)
    | v1_rmod_5(k8_rlvect_2(esk799_0,k1_rlvect_1(esk799_0),esk800_0),esk798_0,esk799_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5690) ).

cnf(i_0_5692,negated_conjecture,
    m1_subset_1(esk800_0,u1_struct_0(esk799_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5692) ).

cnf(i_0_5691,negated_conjecture,
    k1_rlvect_1(esk798_0) != k2_group_1(esk798_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qsjefypx/lgb.p',i_0_5691) ).

cnf(c_0_5735,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(k3_rmod_4(X2,X1),X2,X1)
    | ~ v4_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)
    | ~ v7_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ l1_vectsp_2(X1,X2) ),
    i_0_696 ).

cnf(c_0_5736,negated_conjecture,
    v5_vectsp_2(esk799_0,esk798_0),
    i_0_5694 ).

cnf(c_0_5737,negated_conjecture,
    l3_vectsp_1(esk798_0),
    i_0_5700 ).

cnf(c_0_5738,negated_conjecture,
    v7_vectsp_1(esk798_0),
    i_0_5702 ).

cnf(c_0_5739,negated_conjecture,
    v6_rlvect_1(esk798_0),
    i_0_5705 ).

cnf(c_0_5740,negated_conjecture,
    v6_rlvect_1(esk799_0),
    i_0_5695 ).

cnf(c_0_5741,negated_conjecture,
    v5_rlvect_1(esk798_0),
    i_0_5706 ).

cnf(c_0_5742,negated_conjecture,
    v5_rlvect_1(esk799_0),
    i_0_5696 ).

cnf(c_0_5743,negated_conjecture,
    v4_rlvect_1(esk798_0),
    i_0_5707 ).

cnf(c_0_5744,negated_conjecture,
    v4_rlvect_1(esk799_0),
    i_0_5697 ).

cnf(c_0_5745,negated_conjecture,
    v3_rlvect_1(esk798_0),
    i_0_5708 ).

cnf(c_0_5746,negated_conjecture,
    v3_rlvect_1(esk799_0),
    i_0_5698 ).

cnf(c_0_5747,negated_conjecture,
    v6_vectsp_1(esk798_0),
    i_0_5703 ).

cnf(c_0_5748,negated_conjecture,
    v8_vectsp_1(esk798_0),
    i_0_5701 ).

cnf(c_0_5749,negated_conjecture,
    v4_group_1(esk798_0),
    i_0_5704 ).

cnf(c_0_5750,negated_conjecture,
    l1_vectsp_2(esk799_0,esk798_0),
    i_0_5693 ).

cnf(c_0_5751,negated_conjecture,
    ~ v3_struct_0(esk798_0),
    i_0_5709 ).

cnf(c_0_5752,negated_conjecture,
    ~ v3_struct_0(esk799_0),
    i_0_5699 ).

cnf(c_0_5753,plain,
    ( k5_rmod_4(X1,X2,k3_rmod_4(X1,X2)) = k1_rlvect_1(X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v6_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)
    | ~ v7_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1) ),
    i_0_4472 ).

cnf(c_0_5754,plain,
    ( k1_rlvect_1(X1) = k2_group_1(X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | X3 != k1_rlvect_1(X2)
    | ~ v4_group_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v6_vectsp_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)
    | ~ v7_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2) ),
    i_0_5328 ).

cnf(c_0_5755,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_subset_1(k5_rmod_4(X2,X1,X3),u1_struct_0(X1))
    | ~ v4_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)
    | ~ v7_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ m1_rmod_4(X3,X2,X1) ),
    i_0_711 ).

cnf(c_0_5756,negated_conjecture,
    m1_rmod_4(k3_rmod_4(esk798_0,esk799_0),esk798_0,esk799_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_5735,c_0_5736]),c_0_5737]),c_0_5738]),c_0_5739]),c_0_5740]),c_0_5741]),c_0_5742]),c_0_5743]),c_0_5744]),c_0_5745]),c_0_5746]),c_0_5747]),c_0_5748]),c_0_5749]),c_0_5750])]),c_0_5751]),c_0_5752]) ).

cnf(c_0_5757,negated_conjecture,
    k5_rmod_4(esk798_0,esk799_0,k3_rmod_4(esk798_0,esk799_0)) = k1_rlvect_1(esk799_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_5753,c_0_5736]),c_0_5737]),c_0_5738]),c_0_5740]),c_0_5739]),c_0_5742]),c_0_5741]),c_0_5744]),c_0_5743]),c_0_5746]),c_0_5745]),c_0_5747]),c_0_5748]),c_0_5749]),c_0_5750])]),c_0_5752]),c_0_5751]) ).

cnf(c_0_5758,plain,
    ( k1_rlvect_1(X1) = k2_group_1(X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | X3 != k1_rlvect_1(X2)
    | ~ v4_group_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v6_vectsp_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)
    | ~ v7_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ v1_rmod_5(k8_rlvect_2(X2,X4,X3),X1,X2) ),
    i_0_5327 ).

cnf(c_0_5759,plain,
    ( k2_group_1(X1) = k1_rlvect_1(X1)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v7_vectsp_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)
    | ~ v6_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2) ),
    inference(er,[status(thm)],[c_0_5754]) ).

cnf(c_0_5760,negated_conjecture,
    ( v1_rmod_5(k8_rlvect_2(esk799_0,esk800_0,k1_rlvect_1(esk799_0)),esk798_0,esk799_0)
    | v1_rmod_5(k8_rlvect_2(esk799_0,k1_rlvect_1(esk799_0),esk800_0),esk798_0,esk799_0) ),
    i_0_5690 ).

cnf(c_0_5761,negated_conjecture,
    m1_subset_1(k1_rlvect_1(esk799_0),u1_struct_0(esk799_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5755,c_0_5756]),c_0_5757]),c_0_5737]),c_0_5738]),c_0_5739]),c_0_5740]),c_0_5741]),c_0_5742]),c_0_5743]),c_0_5744]),c_0_5745]),c_0_5746]),c_0_5747]),c_0_5748]),c_0_5749]),c_0_5750]),c_0_5736])]),c_0_5751]),c_0_5752]) ).

cnf(c_0_5762,negated_conjecture,
    m1_subset_1(esk800_0,u1_struct_0(esk799_0)),
    i_0_5692 ).

cnf(c_0_5763,negated_conjecture,
    k1_rlvect_1(esk798_0) != k2_group_1(esk798_0),
    i_0_5691 ).

cnf(c_0_5764,plain,
    ( k2_group_1(X1) = k1_rlvect_1(X1)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v7_vectsp_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)
    | ~ v6_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2) ),
    inference(er,[status(thm)],[c_0_5758]) ).

cnf(c_0_5765,negated_conjecture,
    v1_rmod_5(k8_rlvect_2(esk799_0,esk800_0,k1_rlvect_1(esk799_0)),esk798_0,esk799_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_5759,c_0_5760]),c_0_5737]),c_0_5738]),c_0_5740]),c_0_5739]),c_0_5742]),c_0_5741]),c_0_5744]),c_0_5743]),c_0_5746]),c_0_5745]),c_0_5747]),c_0_5748]),c_0_5749]),c_0_5750]),c_0_5736]),c_0_5761]),c_0_5762])]),c_0_5763]),c_0_5751]),c_0_5752]) ).

cnf(c_0_5766,plain,
    $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(spm,[status(thm)],[c_0_5764,c_0_5765]),c_0_5737]),c_0_5738]),c_0_5740]),c_0_5739]),c_0_5742]),c_0_5741]),c_0_5744]),c_0_5743]),c_0_5746]),c_0_5745]),c_0_5747]),c_0_5748]),c_0_5749]),c_0_5750]),c_0_5736]),c_0_5761]),c_0_5762])]),c_0_5763]),c_0_5751]),c_0_5752]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ALG216+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun  9 00:48:15 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 1.08/1.28  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.08/1.28  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.08/1.28  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.08/1.28  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 15.21/7.26  # ENIGMATIC: Solved by autoschedule-lgb:
% 15.21/7.26  # No SInE strategy applied
% 15.21/7.26  # Trying AutoSched0 for 148 seconds
% 15.21/7.26  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 15.21/7.26  # and selection function SelectCQIPrecWNTNp.
% 15.21/7.26  #
% 15.21/7.26  # Preprocessing time       : 0.031 s
% 15.21/7.26  # Presaturation interreduction done
% 15.21/7.26  
% 15.21/7.26  # Proof found!
% 15.21/7.26  # SZS status Theorem
% 15.21/7.26  # SZS output start CNFRefutation
% See solution above
% 15.21/7.26  # Training examples: 0 positive, 0 negative
% 15.21/7.26  
% 15.21/7.26  # -------------------------------------------------
% 15.21/7.26  # User time                : 0.067 s
% 15.21/7.26  # System time              : 0.008 s
% 15.21/7.26  # Total time               : 0.075 s
% 15.21/7.26  # Maximum resident set size: 7120 pages
% 15.21/7.26  
%------------------------------------------------------------------------------