TSTP Solution File: GRP644+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP644+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 : Sat Jul 16 08:39:51 EDT 2022

% Result   : Theorem 11.70s 5.81s
% Output   : CNFRefutation 11.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   29
% Syntax   : Number of clauses     :   80 (  37 unt;  30 nHn;  78 RR)
%            Number of literals    :  258 (  13 equ; 157 neg)
%            Maximal clause size   :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   88 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2601,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X2,X3)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X2)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_2601) ).

cnf(i_0_3072,negated_conjecture,
    m1_group_2(esk463_0,esk462_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_3072) ).

cnf(i_0_3075,negated_conjecture,
    v4_group_1(esk462_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_3075) ).

cnf(i_0_3076,negated_conjecture,
    v3_group_1(esk462_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_3076) ).

cnf(i_0_3073,negated_conjecture,
    v1_group_1(esk463_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_3073) ).

cnf(i_0_3074,negated_conjecture,
    l1_group_1(esk462_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_3074) ).

cnf(i_0_3077,negated_conjecture,
    ~ v3_struct_0(esk462_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_3077) ).

cnf(i_0_780,plain,
    ( l1_group_1(X1)
    | v3_struct_0(X2)
    | ~ l1_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ m1_group_2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_780) ).

cnf(i_0_16,plain,
    ( v3_struct_0(X1)
    | v4_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_16) ).

cnf(i_0_781,plain,
    ( v3_struct_0(X1)
    | v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_781) ).

cnf(i_0_782,plain,
    ( v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v3_struct_0(X2)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_782) ).

cnf(i_0_3071,negated_conjecture,
    m1_subset_1(esk464_0,u1_struct_0(esk462_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_3071) ).

cnf(i_0_3070,negated_conjecture,
    r2_hidden(esk464_0,k1_funct_1(k1_latsubgr(esk462_0),esk463_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_3070) ).

cnf(i_0_765,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_765) ).

cnf(i_0_5125,plain,
    ( v3_struct_0(X1)
    | m1_group_2(X1,X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_5125) ).

cnf(i_0_4820,plain,
    ( k3_group_1(X1,X2) = k3_group_1(X3,X4)
    | v3_struct_0(X1)
    | X2 != X4
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_subset_1(X4,u1_struct_0(X3))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_4820) ).

cnf(i_0_4686,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_subset_1(X2,u1_struct_0(X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_4686) ).

cnf(i_0_291,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_struct_0(X2)
    | ~ r1_rlvect_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_291) ).

cnf(i_0_4669,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X1,X2)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_subset_1(X2,u1_struct_0(X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_4669) ).

cnf(i_0_2863,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_2863) ).

cnf(i_0_828,plain,
    m1_subset_1(esk176_1(X1),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_828) ).

cnf(i_0_264,plain,
    ( k1_funct_1(X1,X2) = u1_struct_0(X2)
    | v3_struct_0(X3)
    | X1 != k1_latsubgr(X3)
    | ~ l1_group_1(X3)
    | ~ v1_group_1(X2)
    | ~ v1_funct_1(X1)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ m1_group_2(X2,X3)
    | ~ v1_funct_2(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_relset_1(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_264) ).

cnf(i_0_692,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k1_latsubgr(X1))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_692) ).

cnf(i_0_691,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_691) ).

cnf(i_0_690,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_690) ).

cnf(i_0_710,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_710) ).

cnf(i_0_5590,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_5590) ).

cnf(i_0_3069,negated_conjecture,
    ~ r2_hidden(k3_group_1(esk462_0,esk464_0),k1_funct_1(k1_latsubgr(esk462_0),esk463_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_3069) ).

cnf(i_0_375,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8oykv0p/lgb.p',i_0_375) ).

cnf(c_0_5620,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X2,X3)
    | ~ l1_group_1(X1)
    | ~ v1_group_1(X2)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X2,X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
    i_0_2601 ).

cnf(c_0_5621,negated_conjecture,
    m1_group_2(esk463_0,esk462_0),
    i_0_3072 ).

cnf(c_0_5622,negated_conjecture,
    v4_group_1(esk462_0),
    i_0_3075 ).

cnf(c_0_5623,negated_conjecture,
    v3_group_1(esk462_0),
    i_0_3076 ).

cnf(c_0_5624,negated_conjecture,
    v1_group_1(esk463_0),
    i_0_3073 ).

cnf(c_0_5625,negated_conjecture,
    l1_group_1(esk462_0),
    i_0_3074 ).

cnf(c_0_5626,negated_conjecture,
    ~ v3_struct_0(esk462_0),
    i_0_3077 ).

cnf(c_0_5627,plain,
    ( l1_group_1(X1)
    | v3_struct_0(X2)
    | ~ l1_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ m1_group_2(X1,X2) ),
    i_0_780 ).

cnf(c_0_5628,plain,
    ( v3_struct_0(X1)
    | v4_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    i_0_16 ).

cnf(c_0_5629,plain,
    ( v3_struct_0(X1)
    | v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    i_0_781 ).

cnf(c_0_5630,plain,
    ( v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v3_struct_0(X2)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    i_0_782 ).

cnf(c_0_5631,negated_conjecture,
    ( r1_rlvect_1(esk463_0,X1)
    | ~ m1_subset_1(X1,u1_struct_0(esk462_0))
    | ~ r2_hidden(X1,k1_funct_1(k1_latsubgr(esk462_0),esk463_0)) ),
    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_5620,c_0_5621]),c_0_5622]),c_0_5623]),c_0_5624]),c_0_5625])]),c_0_5626]) ).

cnf(c_0_5632,negated_conjecture,
    m1_subset_1(esk464_0,u1_struct_0(esk462_0)),
    i_0_3071 ).

cnf(c_0_5633,negated_conjecture,
    r2_hidden(esk464_0,k1_funct_1(k1_latsubgr(esk462_0),esk463_0)),
    i_0_3070 ).

cnf(c_0_5634,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    i_0_765 ).

cnf(c_0_5635,negated_conjecture,
    l1_group_1(esk463_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5627,c_0_5621]),c_0_5623]),c_0_5625])]),c_0_5626]) ).

cnf(c_0_5636,plain,
    ( v3_struct_0(X1)
    | m1_group_2(X1,X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    i_0_5125 ).

cnf(c_0_5637,negated_conjecture,
    v4_group_1(esk463_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5628,c_0_5621]),c_0_5622]),c_0_5623]),c_0_5625])]),c_0_5626]) ).

cnf(c_0_5638,negated_conjecture,
    v3_group_1(esk463_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5629,c_0_5621]),c_0_5623]),c_0_5625])]),c_0_5626]) ).

cnf(c_0_5639,negated_conjecture,
    ~ v3_struct_0(esk463_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5630,c_0_5621]),c_0_5623]),c_0_5625])]),c_0_5626]) ).

cnf(c_0_5640,plain,
    ( k3_group_1(X1,X2) = k3_group_1(X3,X4)
    | v3_struct_0(X1)
    | X2 != X4
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_subset_1(X4,u1_struct_0(X3))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_4820 ).

cnf(c_0_5641,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_subset_1(X2,u1_struct_0(X3)) ),
    i_0_4686 ).

cnf(c_0_5642,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_struct_0(X2)
    | ~ r1_rlvect_1(X2,X1) ),
    i_0_291 ).

cnf(c_0_5643,negated_conjecture,
    r1_rlvect_1(esk463_0,esk464_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5631,c_0_5632]),c_0_5633])]) ).

cnf(c_0_5644,plain,
    l1_struct_0(esk463_0),
    inference(spm,[status(thm)],[c_0_5634,c_0_5635]) ).

cnf(c_0_5645,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X1,X2)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_subset_1(X2,u1_struct_0(X3)) ),
    i_0_4669 ).

cnf(c_0_5646,negated_conjecture,
    m1_group_2(esk463_0,esk463_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5636,c_0_5635]),c_0_5637]),c_0_5638])]),c_0_5639]) ).

cnf(c_0_5647,plain,
    ( k3_group_1(X1,X2) = k3_group_1(X3,X2)
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_group_2(X3,X1)
    | ~ m1_subset_1(X2,u1_struct_0(X3)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_5640]),c_0_5641]) ).

cnf(c_0_5648,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    i_0_2863 ).

cnf(c_0_5649,plain,
    r2_hidden(esk464_0,u1_struct_0(esk463_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5642,c_0_5643]),c_0_5644])]) ).

cnf(c_0_5650,negated_conjecture,
    ( r1_rlvect_1(esk463_0,X1)
    | ~ m1_subset_1(X1,u1_struct_0(esk463_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5645,c_0_5646]),c_0_5638]),c_0_5635])]),c_0_5639]) ).

cnf(c_0_5651,plain,
    m1_subset_1(esk176_1(X1),X1),
    i_0_828 ).

cnf(c_0_5652,plain,
    ( k1_funct_1(X1,X2) = u1_struct_0(X2)
    | v3_struct_0(X3)
    | X1 != k1_latsubgr(X3)
    | ~ l1_group_1(X3)
    | ~ v1_group_1(X2)
    | ~ v1_funct_1(X1)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ m1_group_2(X2,X3)
    | ~ v1_funct_2(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_relset_1(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3))) ),
    i_0_264 ).

cnf(c_0_5653,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k1_latsubgr(X1))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    i_0_692 ).

cnf(c_0_5654,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    i_0_691 ).

cnf(c_0_5655,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1) ),
    i_0_690 ).

cnf(c_0_5656,negated_conjecture,
    ( k3_group_1(esk463_0,X1) = k3_group_1(esk462_0,X1)
    | ~ m1_subset_1(X1,u1_struct_0(esk463_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5647,c_0_5621]),c_0_5622]),c_0_5623]),c_0_5625])]),c_0_5626]) ).

cnf(c_0_5657,plain,
    m1_subset_1(esk464_0,u1_struct_0(esk463_0)),
    inference(spm,[status(thm)],[c_0_5648,c_0_5649]) ).

cnf(c_0_5658,plain,
    r1_rlvect_1(esk463_0,esk176_1(u1_struct_0(esk463_0))),
    inference(spm,[status(thm)],[c_0_5650,c_0_5651]) ).

cnf(c_0_5659,plain,
    ( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v1_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_5652]),c_0_5653]),c_0_5654]),c_0_5655]) ).

cnf(c_0_5660,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_710 ).

cnf(c_0_5661,negated_conjecture,
    k3_group_1(esk463_0,esk464_0) = k3_group_1(esk462_0,esk464_0),
    inference(spm,[status(thm)],[c_0_5656,c_0_5657]) ).

cnf(c_0_5662,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    i_0_5590 ).

cnf(c_0_5663,plain,
    r2_hidden(esk176_1(u1_struct_0(esk463_0)),u1_struct_0(esk463_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5642,c_0_5658]),c_0_5644])]) ).

cnf(c_0_5664,negated_conjecture,
    ~ r2_hidden(k3_group_1(esk462_0,esk464_0),k1_funct_1(k1_latsubgr(esk462_0),esk463_0)),
    i_0_3069 ).

cnf(c_0_5665,negated_conjecture,
    k1_funct_1(k1_latsubgr(esk462_0),esk463_0) = u1_struct_0(esk463_0),
    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_5659,c_0_5621]),c_0_5622]),c_0_5623]),c_0_5624]),c_0_5625])]),c_0_5626]) ).

cnf(c_0_5666,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_375 ).

cnf(c_0_5667,plain,
    m1_subset_1(k3_group_1(esk462_0,esk464_0),u1_struct_0(esk463_0)),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5660,c_0_5657]),c_0_5637]),c_0_5638]),c_0_5635])]),c_0_5639]),c_0_5661]) ).

cnf(c_0_5668,plain,
    ~ v1_xboole_0(u1_struct_0(esk463_0)),
    inference(spm,[status(thm)],[c_0_5662,c_0_5663]) ).

cnf(c_0_5669,negated_conjecture,
    ~ r2_hidden(k3_group_1(esk462_0,esk464_0),u1_struct_0(esk463_0)),
    inference(rw,[status(thm)],[c_0_5664,c_0_5665]) ).

cnf(c_0_5670,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5666,c_0_5667]),c_0_5668]),c_0_5669]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GRP644+4 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n011.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 : Tue Jun 14 10:39:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 1.45/1.63  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.45/1.63  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.45/1.63  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.45/1.63  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.70/5.81  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.70/5.81  # No SInE strategy applied
% 11.70/5.81  # Trying AutoSched0 for 149 seconds
% 11.70/5.81  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S079N
% 11.70/5.81  # and selection function SelectGrCQArEqFirst.
% 11.70/5.81  #
% 11.70/5.81  # Preprocessing time       : 0.027 s
% 11.70/5.81  # Presaturation interreduction done
% 11.70/5.81  
% 11.70/5.81  # Proof found!
% 11.70/5.81  # SZS status Theorem
% 11.70/5.81  # SZS output start CNFRefutation
% See solution above
% 11.70/5.81  # Training examples: 0 positive, 0 negative
% 11.70/5.81  
% 11.70/5.81  # -------------------------------------------------
% 11.70/5.81  # User time                : 0.053 s
% 11.70/5.81  # System time              : 0.014 s
% 11.70/5.81  # Total time               : 0.067 s
% 11.70/5.81  # Maximum resident set size: 7128 pages
% 11.70/5.81  
%------------------------------------------------------------------------------