TSTP Solution File: ALG216+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG216+3 : 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 10.85s 4.57s
% Output   : CNFRefutation 10.85s
% 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_794,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/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_794) ).

cnf(i_0_4614,negated_conjecture,
    v5_vectsp_2(esk599_0,esk598_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4614) ).

cnf(i_0_4620,negated_conjecture,
    l3_vectsp_1(esk598_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4620) ).

cnf(i_0_4622,negated_conjecture,
    v7_vectsp_1(esk598_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4622) ).

cnf(i_0_4625,negated_conjecture,
    v6_rlvect_1(esk598_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4625) ).

cnf(i_0_4615,negated_conjecture,
    v6_rlvect_1(esk599_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4615) ).

cnf(i_0_4626,negated_conjecture,
    v5_rlvect_1(esk598_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4626) ).

cnf(i_0_4616,negated_conjecture,
    v5_rlvect_1(esk599_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4616) ).

cnf(i_0_4627,negated_conjecture,
    v4_rlvect_1(esk598_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4627) ).

cnf(i_0_4617,negated_conjecture,
    v4_rlvect_1(esk599_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4617) ).

cnf(i_0_4628,negated_conjecture,
    v3_rlvect_1(esk598_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4628) ).

cnf(i_0_4618,negated_conjecture,
    v3_rlvect_1(esk599_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4618) ).

cnf(i_0_4623,negated_conjecture,
    v6_vectsp_1(esk598_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4623) ).

cnf(i_0_4621,negated_conjecture,
    v8_vectsp_1(esk598_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4621) ).

cnf(i_0_4624,negated_conjecture,
    v4_group_1(esk598_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4624) ).

cnf(i_0_4613,negated_conjecture,
    l1_vectsp_2(esk599_0,esk598_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4613) ).

cnf(i_0_4629,negated_conjecture,
    ~ v3_struct_0(esk598_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4629) ).

cnf(i_0_4619,negated_conjecture,
    ~ v3_struct_0(esk599_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4619) ).

cnf(i_0_3535,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/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_3535) ).

cnf(i_0_4226,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/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4226) ).

cnf(i_0_812,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/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_812) ).

cnf(i_0_4225,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/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4225) ).

cnf(i_0_4610,negated_conjecture,
    ( v1_rmod_5(k8_rlvect_2(esk599_0,esk600_0,k1_rlvect_1(esk599_0)),esk598_0,esk599_0)
    | v1_rmod_5(k8_rlvect_2(esk599_0,k1_rlvect_1(esk599_0),esk600_0),esk598_0,esk599_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4610) ).

cnf(i_0_4612,negated_conjecture,
    m1_subset_1(esk600_0,u1_struct_0(esk599_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4612) ).

cnf(i_0_4611,negated_conjecture,
    k1_rlvect_1(esk598_0) != k2_group_1(esk598_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vafnnn5e/lgb.p',i_0_4611) ).

cnf(c_0_4655,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_794 ).

cnf(c_0_4656,negated_conjecture,
    v5_vectsp_2(esk599_0,esk598_0),
    i_0_4614 ).

cnf(c_0_4657,negated_conjecture,
    l3_vectsp_1(esk598_0),
    i_0_4620 ).

cnf(c_0_4658,negated_conjecture,
    v7_vectsp_1(esk598_0),
    i_0_4622 ).

cnf(c_0_4659,negated_conjecture,
    v6_rlvect_1(esk598_0),
    i_0_4625 ).

cnf(c_0_4660,negated_conjecture,
    v6_rlvect_1(esk599_0),
    i_0_4615 ).

cnf(c_0_4661,negated_conjecture,
    v5_rlvect_1(esk598_0),
    i_0_4626 ).

cnf(c_0_4662,negated_conjecture,
    v5_rlvect_1(esk599_0),
    i_0_4616 ).

cnf(c_0_4663,negated_conjecture,
    v4_rlvect_1(esk598_0),
    i_0_4627 ).

cnf(c_0_4664,negated_conjecture,
    v4_rlvect_1(esk599_0),
    i_0_4617 ).

cnf(c_0_4665,negated_conjecture,
    v3_rlvect_1(esk598_0),
    i_0_4628 ).

cnf(c_0_4666,negated_conjecture,
    v3_rlvect_1(esk599_0),
    i_0_4618 ).

cnf(c_0_4667,negated_conjecture,
    v6_vectsp_1(esk598_0),
    i_0_4623 ).

cnf(c_0_4668,negated_conjecture,
    v8_vectsp_1(esk598_0),
    i_0_4621 ).

cnf(c_0_4669,negated_conjecture,
    v4_group_1(esk598_0),
    i_0_4624 ).

cnf(c_0_4670,negated_conjecture,
    l1_vectsp_2(esk599_0,esk598_0),
    i_0_4613 ).

cnf(c_0_4671,negated_conjecture,
    ~ v3_struct_0(esk598_0),
    i_0_4629 ).

cnf(c_0_4672,negated_conjecture,
    ~ v3_struct_0(esk599_0),
    i_0_4619 ).

cnf(c_0_4673,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_3535 ).

cnf(c_0_4674,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_4226 ).

cnf(c_0_4675,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_812 ).

cnf(c_0_4676,negated_conjecture,
    m1_rmod_4(k3_rmod_4(esk598_0,esk599_0),esk598_0,esk599_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_4655,c_0_4656]),c_0_4657]),c_0_4658]),c_0_4659]),c_0_4660]),c_0_4661]),c_0_4662]),c_0_4663]),c_0_4664]),c_0_4665]),c_0_4666]),c_0_4667]),c_0_4668]),c_0_4669]),c_0_4670])]),c_0_4671]),c_0_4672]) ).

cnf(c_0_4677,negated_conjecture,
    k5_rmod_4(esk598_0,esk599_0,k3_rmod_4(esk598_0,esk599_0)) = k1_rlvect_1(esk599_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_4673,c_0_4656]),c_0_4657]),c_0_4658]),c_0_4660]),c_0_4659]),c_0_4662]),c_0_4661]),c_0_4664]),c_0_4663]),c_0_4666]),c_0_4665]),c_0_4667]),c_0_4668]),c_0_4669]),c_0_4670])]),c_0_4672]),c_0_4671]) ).

cnf(c_0_4678,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_4225 ).

cnf(c_0_4679,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_4674]) ).

cnf(c_0_4680,negated_conjecture,
    ( v1_rmod_5(k8_rlvect_2(esk599_0,esk600_0,k1_rlvect_1(esk599_0)),esk598_0,esk599_0)
    | v1_rmod_5(k8_rlvect_2(esk599_0,k1_rlvect_1(esk599_0),esk600_0),esk598_0,esk599_0) ),
    i_0_4610 ).

cnf(c_0_4681,negated_conjecture,
    m1_subset_1(k1_rlvect_1(esk599_0),u1_struct_0(esk599_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_4675,c_0_4676]),c_0_4677]),c_0_4657]),c_0_4658]),c_0_4659]),c_0_4660]),c_0_4661]),c_0_4662]),c_0_4663]),c_0_4664]),c_0_4665]),c_0_4666]),c_0_4667]),c_0_4668]),c_0_4669]),c_0_4670]),c_0_4656])]),c_0_4671]),c_0_4672]) ).

cnf(c_0_4682,negated_conjecture,
    m1_subset_1(esk600_0,u1_struct_0(esk599_0)),
    i_0_4612 ).

cnf(c_0_4683,negated_conjecture,
    k1_rlvect_1(esk598_0) != k2_group_1(esk598_0),
    i_0_4611 ).

cnf(c_0_4684,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_4678]) ).

cnf(c_0_4685,negated_conjecture,
    v1_rmod_5(k8_rlvect_2(esk599_0,esk600_0,k1_rlvect_1(esk599_0)),esk598_0,esk599_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_4679,c_0_4680]),c_0_4657]),c_0_4658]),c_0_4660]),c_0_4659]),c_0_4662]),c_0_4661]),c_0_4664]),c_0_4663]),c_0_4666]),c_0_4665]),c_0_4667]),c_0_4668]),c_0_4669]),c_0_4670]),c_0_4656]),c_0_4681]),c_0_4682])]),c_0_4683]),c_0_4671]),c_0_4672]) ).

cnf(c_0_4686,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_4684,c_0_4685]),c_0_4657]),c_0_4658]),c_0_4660]),c_0_4659]),c_0_4662]),c_0_4661]),c_0_4664]),c_0_4663]),c_0_4666]),c_0_4665]),c_0_4667]),c_0_4668]),c_0_4669]),c_0_4670]),c_0_4656]),c_0_4681]),c_0_4682])]),c_0_4683]),c_0_4671]),c_0_4672]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : ALG216+3 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % 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 : Thu Jun  9 01:05:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected SinE mode:
% 0.57/0.76  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.76  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.57/0.76  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.57/0.76  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.85/4.57  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.85/4.57  # No SInE strategy applied
% 10.85/4.57  # Trying AutoSched0 for 149 seconds
% 10.85/4.57  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 10.85/4.57  # and selection function SelectCQIPrecWNTNp.
% 10.85/4.57  #
% 10.85/4.57  # Preprocessing time       : 0.028 s
% 10.85/4.57  # Presaturation interreduction done
% 10.85/4.57  
% 10.85/4.57  # Proof found!
% 10.85/4.57  # SZS status Theorem
% 10.85/4.57  # SZS output start CNFRefutation
% See solution above
% 10.85/4.57  # Training examples: 0 positive, 0 negative
% 10.85/4.57  
% 10.85/4.57  # -------------------------------------------------
% 10.85/4.57  # User time                : 0.063 s
% 10.85/4.57  # System time              : 0.009 s
% 10.85/4.57  # Total time               : 0.072 s
% 10.85/4.57  # Maximum resident set size: 7128 pages
% 10.85/4.57  
%------------------------------------------------------------------------------