TSTP Solution File: GRP652+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP652+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 08:39:57 EDT 2022

% Result   : Theorem 233.00s 31.00s
% Output   : CNFRefutation 233.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   48
% Syntax   : Number of clauses     :  186 (  57 unt;  98 nHn; 167 RR)
%            Number of literals    :  637 ( 131 equ; 328 neg)
%            Maximal clause size   :   20 (   3 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   18 (  16 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   4 con; 0-5 aty)
%            Number of variables   :  240 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_141,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_141) ).

cnf(i_0_2,negated_conjecture,
    m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_2) ).

cnf(i_0_137,plain,
    ( k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,X1,X2)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_137) ).

cnf(i_0_4,negated_conjecture,
    v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_4) ).

cnf(i_0_5,negated_conjecture,
    v1_funct_1(esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_5) ).

cnf(i_0_53,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_53) ).

cnf(i_0_10,negated_conjecture,
    l1_group_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_10) ).

cnf(i_0_13,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_13) ).

cnf(i_0_59,plain,
    ( v3_struct_0(X1)
    | m1_group_2(k5_group_2(X1),X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_59) ).

cnf(i_0_11,negated_conjecture,
    v4_group_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_11) ).

cnf(i_0_12,negated_conjecture,
    v3_group_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_12) ).

cnf(i_0_60,plain,
    ( v3_struct_0(X1)
    | v1_group_1(k5_group_2(X1))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_60) ).

cnf(i_0_156,plain,
    ( X1 = k1_xboole_0
    | r2_hidden(X2,k9_relat_1(X3,X4))
    | X2 != k1_funct_1(X3,X5)
    | ~ v1_funct_1(X3)
    | ~ r2_hidden(X5,X4)
    | ~ r2_hidden(X5,X6)
    | ~ v1_funct_2(X3,X6,X1)
    | ~ m2_relset_1(X3,X6,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_156) ).

cnf(i_0_152,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_152) ).

cnf(i_0_139,plain,
    ( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
    | v1_xboole_0(X1)
    | ~ v1_funct_1(X3)
    | ~ m1_subset_1(X4,X1)
    | ~ v1_funct_2(X3,X1,X2)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_139) ).

cnf(i_0_155,plain,
    ( k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,k2_group_1(X1)) = k2_group_1(X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v3_group_1(X2)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X2)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v1_funct_1(X3)
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_155) ).

cnf(i_0_3,negated_conjecture,
    v1_group_6(esk3_0,esk1_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_3) ).

cnf(i_0_6,negated_conjecture,
    l1_group_1(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_6) ).

cnf(i_0_7,negated_conjecture,
    v4_group_1(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_7) ).

cnf(i_0_8,negated_conjecture,
    v3_group_1(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_8) ).

cnf(i_0_9,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_9) ).

cnf(i_0_29,plain,
    ( r2_hidden(X1,X2)
    | X1 != X3
    | X2 != k1_tarski(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_29) ).

cnf(i_0_38,plain,
    ( u1_struct_0(X1) = k6_domain_1(u1_struct_0(X2),k2_group_1(X2))
    | v3_struct_0(X2)
    | X1 != k5_group_2(X2)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v1_group_1(X1)
    | ~ m1_group_2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_38) ).

cnf(i_0_148,plain,
    ( r2_hidden(esk24_5(X1,X2,X3,X4,X5),X3)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_2(X4,X1,X2)
    | ~ m2_relset_1(X4,X1,X2)
    | ~ r2_hidden(X5,k2_funct_2(X1,X2,X4,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_148) ).

cnf(i_0_27,plain,
    ( X1 = k1_tarski(X2)
    | esk4_2(X2,X1) = X2
    | r2_hidden(esk4_2(X2,X1),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_27) ).

cnf(i_0_138,plain,
    ( k6_domain_1(X1,X2) = k1_tarski(X2)
    | v1_xboole_0(X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_138) ).

cnf(i_0_30,plain,
    ( X1 = X2
    | X3 != k1_tarski(X2)
    | ~ r2_hidden(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_30) ).

cnf(i_0_72,plain,
    ( v3_struct_0(X1)
    | l1_group_1(X2)
    | ~ v3_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_72) ).

cnf(i_0_74,plain,
    ( v3_struct_0(X1)
    | ~ v3_struct_0(X2)
    | ~ v3_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_74) ).

cnf(i_0_147,plain,
    ( k1_funct_1(X1,esk24_5(X2,X3,X4,X1,X5)) = X5
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3)
    | ~ r2_hidden(X5,k2_funct_2(X2,X3,X1,X4)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_147) ).

cnf(i_0_63,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_63) ).

cnf(i_0_28,plain,
    ( X1 = k1_tarski(X2)
    | esk4_2(X2,X1) != X2
    | ~ r2_hidden(esk4_2(X2,X1),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_28) ).

cnf(i_0_157,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_157) ).

cnf(i_0_112,plain,
    ~ v1_xboole_0(k1_tarski(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_112) ).

cnf(i_0_111,plain,
    v1_xboole_0(k1_xboole_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_111) ).

cnf(i_0_55,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(k3_latsubgr(X2,X1,X3),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X1)))
    | ~ v3_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X1)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_55) ).

cnf(i_0_56,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(k3_latsubgr(X2,X1,X3),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X1)))
    | ~ v3_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X1)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_56) ).

cnf(i_0_57,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(k3_latsubgr(X2,X1,X3))
    | ~ v3_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X1)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_57) ).

cnf(i_0_36,plain,
    ( k5_group_4(X1,X2) = k1_funct_1(X3,X4)
    | v3_struct_0(X1)
    | v3_struct_0(X5)
    | X3 != k3_latsubgr(X5,X1,X6)
    | X2 != k2_funct_2(u1_struct_0(X5),u1_struct_0(X1),X6,u1_struct_0(X4))
    | ~ v3_group_1(X1)
    | ~ v3_group_1(X5)
    | ~ v4_group_1(X1)
    | ~ v4_group_1(X5)
    | ~ l1_group_1(X1)
    | ~ l1_group_1(X5)
    | ~ v1_funct_1(X6)
    | ~ v1_funct_1(X3)
    | ~ v1_group_1(X4)
    | ~ m1_group_2(X4,X5)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_funct_2(X6,u1_struct_0(X5),u1_struct_0(X1))
    | ~ m2_relset_1(X6,u1_struct_0(X5),u1_struct_0(X1))
    | ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X5)),u1_struct_0(k11_group_4(X1)))
    | ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X5)),u1_struct_0(k11_group_4(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_36) ).

cnf(i_0_136,plain,
    ( k18_group_2(X1,X2) = k1_tarski(X2)
    | v1_xboole_0(X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_136) ).

cnf(i_0_52,plain,
    ( m1_subset_1(k2_funct_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,X1,X2)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_52) ).

cnf(i_0_150,plain,
    ( v3_struct_0(X1)
    | r1_group_2(X1,k5_group_4(X1,X2),k5_group_2(X1))
    | X2 != k18_group_2(u1_struct_0(X1),k2_group_1(X1))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_150) ).

cnf(i_0_62,plain,
    ( v3_struct_0(X1)
    | v1_group_1(k5_group_4(X1,X2))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_62) ).

cnf(i_0_61,plain,
    ( v3_struct_0(X1)
    | m1_group_2(k5_group_4(X1,X2),X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_61) ).

cnf(i_0_143,plain,
    ( X1 = X2
    | v3_struct_0(X3)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_group_1(X2)
    | ~ v1_group_1(X1)
    | ~ m1_group_2(X2,X3)
    | ~ m1_group_2(X1,X3)
    | ~ r1_group_2(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_143) ).

cnf(i_0_1,negated_conjecture,
    k1_funct_1(k3_latsubgr(esk1_0,esk2_0,esk3_0),k5_group_2(esk1_0)) != k5_group_2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_1) ).

cnf(i_0_66,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_66) ).

cnf(i_0_109,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ljwoe7hm/input.p',i_0_109) ).

cnf(c_0_206,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_141 ).

cnf(c_0_207,negated_conjecture,
    m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    i_0_2 ).

cnf(c_0_208,plain,
    ( k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,X1,X2)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_137 ).

cnf(c_0_209,plain,
    m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    inference(spm,[status(thm)],[c_0_206,c_0_207]) ).

cnf(c_0_210,negated_conjecture,
    v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    i_0_4 ).

cnf(c_0_211,negated_conjecture,
    v1_funct_1(esk3_0),
    i_0_5 ).

cnf(c_0_212,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
    | ~ l1_group_1(X1) ),
    i_0_53 ).

cnf(c_0_213,negated_conjecture,
    l1_group_1(esk1_0),
    i_0_10 ).

cnf(c_0_214,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    i_0_13 ).

cnf(c_0_215,plain,
    ( v3_struct_0(X1)
    | m1_group_2(k5_group_2(X1),X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    i_0_59 ).

cnf(c_0_216,negated_conjecture,
    v4_group_1(esk1_0),
    i_0_11 ).

cnf(c_0_217,negated_conjecture,
    v3_group_1(esk1_0),
    i_0_12 ).

cnf(c_0_218,plain,
    ( v3_struct_0(X1)
    | v1_group_1(k5_group_2(X1))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1) ),
    i_0_60 ).

cnf(c_0_219,plain,
    ( X1 = k1_xboole_0
    | r2_hidden(X2,k9_relat_1(X3,X4))
    | X2 != k1_funct_1(X3,X5)
    | ~ v1_funct_1(X3)
    | ~ r2_hidden(X5,X4)
    | ~ r2_hidden(X5,X6)
    | ~ v1_funct_2(X3,X6,X1)
    | ~ m2_relset_1(X3,X6,X1) ),
    i_0_156 ).

cnf(c_0_220,plain,
    k9_relat_1(esk3_0,X1) = k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_210]),c_0_211])]) ).

cnf(c_0_221,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_152 ).

cnf(c_0_222,negated_conjecture,
    m1_subset_1(k2_group_1(esk1_0),u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]) ).

cnf(c_0_223,plain,
    ( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
    | v1_xboole_0(X1)
    | ~ v1_funct_1(X3)
    | ~ m1_subset_1(X4,X1)
    | ~ v1_funct_2(X3,X1,X2)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_139 ).

cnf(c_0_224,plain,
    ( k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,k2_group_1(X1)) = k2_group_1(X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v3_group_1(X2)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X2)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v1_funct_1(X3)
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    i_0_155 ).

cnf(c_0_225,negated_conjecture,
    v1_group_6(esk3_0,esk1_0,esk2_0),
    i_0_3 ).

cnf(c_0_226,negated_conjecture,
    l1_group_1(esk2_0),
    i_0_6 ).

cnf(c_0_227,negated_conjecture,
    v4_group_1(esk2_0),
    i_0_7 ).

cnf(c_0_228,negated_conjecture,
    v3_group_1(esk2_0),
    i_0_8 ).

cnf(c_0_229,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    i_0_9 ).

cnf(c_0_230,plain,
    ( r2_hidden(X1,X2)
    | X1 != X3
    | X2 != k1_tarski(X3) ),
    i_0_29 ).

cnf(c_0_231,plain,
    ( u1_struct_0(X1) = k6_domain_1(u1_struct_0(X2),k2_group_1(X2))
    | v3_struct_0(X2)
    | X1 != k5_group_2(X2)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v1_group_1(X1)
    | ~ m1_group_2(X1,X2) ),
    i_0_38 ).

cnf(c_0_232,negated_conjecture,
    m1_group_2(k5_group_2(esk1_0),esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_213]),c_0_216]),c_0_217])]),c_0_214]) ).

cnf(c_0_233,negated_conjecture,
    v1_group_1(k5_group_2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_213]),c_0_216]),c_0_217])]),c_0_214]) ).

cnf(c_0_234,plain,
    ( r2_hidden(esk24_5(X1,X2,X3,X4,X5),X3)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_2(X4,X1,X2)
    | ~ m2_relset_1(X4,X1,X2)
    | ~ r2_hidden(X5,k2_funct_2(X1,X2,X4,X3)) ),
    i_0_148 ).

cnf(c_0_235,plain,
    ( X1 = k1_tarski(X2)
    | esk4_2(X2,X1) = X2
    | r2_hidden(esk4_2(X2,X1),X1) ),
    i_0_27 ).

cnf(c_0_236,negated_conjecture,
    ( k1_xboole_0 = u1_struct_0(esk2_0)
    | r2_hidden(X1,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X2))
    | X1 != k1_funct_1(esk3_0,X3)
    | ~ r2_hidden(X3,u1_struct_0(esk1_0))
    | ~ r2_hidden(X3,X2) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_207]),c_0_210]),c_0_211])]),c_0_220]) ).

cnf(c_0_237,plain,
    ( r2_hidden(k2_group_1(esk1_0),u1_struct_0(esk1_0))
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_221,c_0_222]) ).

cnf(c_0_238,plain,
    ( k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1) = k1_funct_1(esk3_0,X1)
    | v1_xboole_0(u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_209]),c_0_210]),c_0_211])]) ).

cnf(c_0_239,negated_conjecture,
    k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,k2_group_1(esk1_0)) = k2_group_1(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(spm,[status(thm)],[c_0_224,c_0_207]),c_0_210]),c_0_225]),c_0_211]),c_0_226]),c_0_213]),c_0_227]),c_0_216]),c_0_228]),c_0_217])]),c_0_214]),c_0_229]) ).

cnf(c_0_240,plain,
    ( r2_hidden(X1,X2)
    | X2 != k1_tarski(X1) ),
    inference(er,[status(thm)],[c_0_230]) ).

cnf(c_0_241,plain,
    ( k6_domain_1(X1,X2) = k1_tarski(X2)
    | v1_xboole_0(X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_138 ).

cnf(c_0_242,plain,
    k6_domain_1(u1_struct_0(esk1_0),k2_group_1(esk1_0)) = u1_struct_0(k5_group_2(esk1_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_231,c_0_232]),c_0_233]),c_0_213]),c_0_216]),c_0_217])]),c_0_214]) ).

cnf(c_0_243,plain,
    ( esk4_2(X1,k2_funct_2(X2,X3,X4,X5)) = X1
    | k2_funct_2(X2,X3,X4,X5) = k1_tarski(X1)
    | r2_hidden(esk24_5(X2,X3,X5,X4,esk4_2(X1,k2_funct_2(X2,X3,X4,X5))),X5)
    | ~ m2_relset_1(X4,X2,X3)
    | ~ v1_funct_2(X4,X2,X3)
    | ~ v1_funct_1(X4) ),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_244,negated_conjecture,
    ( k1_xboole_0 = u1_struct_0(esk2_0)
    | r2_hidden(X1,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X2))
    | v1_xboole_0(u1_struct_0(esk1_0))
    | X1 != k1_funct_1(esk3_0,k2_group_1(esk1_0))
    | ~ r2_hidden(k2_group_1(esk1_0),X2) ),
    inference(spm,[status(thm)],[c_0_236,c_0_237]) ).

cnf(c_0_245,plain,
    ( k1_funct_1(esk3_0,k2_group_1(esk1_0)) = k2_group_1(esk2_0)
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_222]),c_0_239]) ).

cnf(c_0_246,plain,
    r2_hidden(X1,k1_tarski(X1)),
    inference(er,[status(thm)],[c_0_240]) ).

cnf(c_0_247,plain,
    ( k1_tarski(k2_group_1(esk1_0)) = u1_struct_0(k5_group_2(esk1_0))
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_222]),c_0_242]) ).

cnf(c_0_248,plain,
    ( X1 = X2
    | X3 != k1_tarski(X2)
    | ~ r2_hidden(X1,X3) ),
    i_0_30 ).

cnf(c_0_249,plain,
    ( v3_struct_0(X1)
    | l1_group_1(X2)
    | ~ v3_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    i_0_72 ).

cnf(c_0_250,plain,
    ( v3_struct_0(X1)
    | ~ v3_struct_0(X2)
    | ~ v3_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_group_2(X2,X1) ),
    i_0_74 ).

cnf(c_0_251,negated_conjecture,
    m1_group_2(k5_group_2(esk2_0),esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_226]),c_0_227]),c_0_228])]),c_0_229]) ).

cnf(c_0_252,negated_conjecture,
    v1_group_1(k5_group_2(esk2_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_226]),c_0_227]),c_0_228])]),c_0_229]) ).

cnf(c_0_253,plain,
    ( k1_funct_1(X1,esk24_5(X2,X3,X4,X1,X5)) = X5
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3)
    | ~ r2_hidden(X5,k2_funct_2(X2,X3,X1,X4)) ),
    i_0_147 ).

cnf(c_0_254,negated_conjecture,
    ( esk4_2(X1,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X2)) = X1
    | k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X2) = k1_tarski(X1)
    | r2_hidden(esk24_5(u1_struct_0(esk1_0),u1_struct_0(esk2_0),X2,esk3_0,esk4_2(X1,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X2))),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_207]),c_0_210]),c_0_211])]) ).

cnf(c_0_255,negated_conjecture,
    ( k1_xboole_0 = u1_struct_0(esk2_0)
    | r2_hidden(X1,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X2))
    | v1_xboole_0(u1_struct_0(esk1_0))
    | X1 != k2_group_1(esk2_0)
    | ~ r2_hidden(k2_group_1(esk1_0),X2) ),
    inference(spm,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_256,plain,
    ( r2_hidden(k2_group_1(esk1_0),u1_struct_0(k5_group_2(esk1_0)))
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_257,plain,
    ( esk4_2(X1,X2) = X1
    | esk4_2(X1,X2) = X3
    | X2 = k1_tarski(X1)
    | X2 != k1_tarski(X3) ),
    inference(spm,[status(thm)],[c_0_248,c_0_235]) ).

cnf(c_0_258,plain,
    l1_group_1(k5_group_2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_232]),c_0_213]),c_0_217])]),c_0_214]) ).

cnf(c_0_259,plain,
    ~ v3_struct_0(k5_group_2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_232]),c_0_213]),c_0_217])]),c_0_214]) ).

cnf(c_0_260,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,X1) ),
    i_0_63 ).

cnf(c_0_261,negated_conjecture,
    m1_subset_1(k2_group_1(esk2_0),u1_struct_0(esk2_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_226]),c_0_229]) ).

cnf(c_0_262,plain,
    k6_domain_1(u1_struct_0(esk2_0),k2_group_1(esk2_0)) = u1_struct_0(k5_group_2(esk2_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_231,c_0_251]),c_0_252]),c_0_226]),c_0_227]),c_0_228])]),c_0_229]) ).

cnf(c_0_263,plain,
    l1_group_1(k5_group_2(esk2_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_251]),c_0_226]),c_0_228])]),c_0_229]) ).

cnf(c_0_264,plain,
    ~ v3_struct_0(k5_group_2(esk2_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_226]),c_0_228])]),c_0_229]) ).

cnf(c_0_265,plain,
    ( k1_funct_1(X1,esk24_5(X2,X3,X4,X1,esk4_2(X5,k2_funct_2(X2,X3,X1,X4)))) = esk4_2(X5,k2_funct_2(X2,X3,X1,X4))
    | esk4_2(X5,k2_funct_2(X2,X3,X1,X4)) = X5
    | k2_funct_2(X2,X3,X1,X4) = k1_tarski(X5)
    | ~ m2_relset_1(X1,X2,X3)
    | ~ v1_funct_2(X1,X2,X3)
    | ~ v1_funct_1(X1) ),
    inference(spm,[status(thm)],[c_0_253,c_0_235]) ).

cnf(c_0_266,plain,
    ( esk24_5(u1_struct_0(esk1_0),u1_struct_0(esk2_0),X1,esk3_0,esk4_2(X2,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1))) = X3
    | esk4_2(X2,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1)) = X2
    | k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1) = k1_tarski(X2)
    | X1 != k1_tarski(X3) ),
    inference(spm,[status(thm)],[c_0_248,c_0_254]) ).

cnf(c_0_267,plain,
    ( k1_xboole_0 = u1_struct_0(esk2_0)
    | r2_hidden(X1,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_2(esk1_0))))
    | v1_xboole_0(u1_struct_0(esk1_0))
    | X1 != k2_group_1(esk2_0) ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_268,plain,
    ( X1 = k1_tarski(X2)
    | esk4_2(X2,X1) != X2
    | ~ r2_hidden(esk4_2(X2,X1),X1) ),
    i_0_28 ).

cnf(c_0_269,plain,
    ( esk4_2(X1,k1_tarski(X2)) = X2
    | esk4_2(X1,k1_tarski(X2)) = X1
    | k1_tarski(X2) = k1_tarski(X1) ),
    inference(er,[status(thm)],[c_0_257]) ).

cnf(c_0_270,plain,
    m1_subset_1(k2_group_1(k5_group_2(esk1_0)),u1_struct_0(k5_group_2(esk1_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_258]),c_0_259]) ).

cnf(c_0_271,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    i_0_157 ).

cnf(c_0_272,plain,
    ( m1_subset_1(u1_struct_0(k5_group_2(esk2_0)),k1_zfmisc_1(u1_struct_0(esk2_0)))
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_262]) ).

cnf(c_0_273,plain,
    m1_subset_1(k2_group_1(k5_group_2(esk2_0)),u1_struct_0(k5_group_2(esk2_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_263]),c_0_264]) ).

cnf(c_0_274,plain,
    ~ v1_xboole_0(k1_tarski(X1)),
    i_0_112 ).

cnf(c_0_275,plain,
    ( k1_tarski(k2_group_1(esk2_0)) = u1_struct_0(k5_group_2(esk2_0))
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_261]),c_0_262]) ).

cnf(c_0_276,negated_conjecture,
    ( k1_funct_1(esk3_0,esk24_5(u1_struct_0(esk1_0),u1_struct_0(esk2_0),X1,esk3_0,esk4_2(X2,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1)))) = esk4_2(X2,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1))
    | esk4_2(X2,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1)) = X2
    | k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1) = k1_tarski(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_207]),c_0_210]),c_0_211])]) ).

cnf(c_0_277,plain,
    ( esk24_5(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k1_tarski(X1),esk3_0,esk4_2(X2,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,k1_tarski(X1)))) = X1
    | esk4_2(X2,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,k1_tarski(X1))) = X2
    | k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,k1_tarski(X1)) = k1_tarski(X2) ),
    inference(er,[status(thm)],[c_0_266]) ).

cnf(c_0_278,plain,
    v1_xboole_0(k1_xboole_0),
    i_0_111 ).

cnf(c_0_279,plain,
    ( k1_xboole_0 = u1_struct_0(esk2_0)
    | r2_hidden(k2_group_1(esk2_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_2(esk1_0))))
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(er,[status(thm)],[c_0_267]) ).

cnf(c_0_280,plain,
    ( esk4_2(X1,k1_tarski(X2)) = X2
    | k1_tarski(X2) = k1_tarski(X1)
    | ~ r2_hidden(X1,k1_tarski(X2)) ),
    inference(spm,[status(thm)],[c_0_268,c_0_269]) ).

cnf(c_0_281,plain,
    ( r2_hidden(k2_group_1(k5_group_2(esk1_0)),u1_struct_0(k5_group_2(esk1_0)))
    | v1_xboole_0(u1_struct_0(k5_group_2(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_221,c_0_270]) ).

cnf(c_0_282,plain,
    ( m1_subset_1(X1,u1_struct_0(esk2_0))
    | v1_xboole_0(u1_struct_0(esk2_0))
    | ~ r2_hidden(X1,u1_struct_0(k5_group_2(esk2_0))) ),
    inference(spm,[status(thm)],[c_0_271,c_0_272]) ).

cnf(c_0_283,plain,
    ( r2_hidden(k2_group_1(k5_group_2(esk2_0)),u1_struct_0(k5_group_2(esk2_0)))
    | v1_xboole_0(u1_struct_0(k5_group_2(esk2_0))) ),
    inference(spm,[status(thm)],[c_0_221,c_0_273]) ).

cnf(c_0_284,plain,
    ( v1_xboole_0(u1_struct_0(esk2_0))
    | ~ v1_xboole_0(u1_struct_0(k5_group_2(esk2_0))) ),
    inference(spm,[status(thm)],[c_0_274,c_0_275]) ).

cnf(c_0_285,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(k3_latsubgr(X2,X1,X3),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X1)))
    | ~ v3_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X1)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    i_0_55 ).

cnf(c_0_286,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(k3_latsubgr(X2,X1,X3),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X1)))
    | ~ v3_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X1)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    i_0_56 ).

cnf(c_0_287,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(k3_latsubgr(X2,X1,X3))
    | ~ v3_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X1)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    i_0_57 ).

cnf(c_0_288,negated_conjecture,
    ( esk4_2(X1,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,k1_tarski(X2))) = k1_funct_1(esk3_0,X2)
    | esk4_2(X1,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,k1_tarski(X2))) = X1
    | k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,k1_tarski(X2)) = k1_tarski(X1) ),
    inference(spm,[status(thm)],[c_0_276,c_0_277]) ).

cnf(c_0_289,plain,
    ( r2_hidden(k2_group_1(esk2_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_2(esk1_0))))
    | v1_xboole_0(u1_struct_0(esk1_0))
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_278,c_0_279]) ).

cnf(c_0_290,plain,
    ( esk4_2(X1,u1_struct_0(k5_group_2(esk1_0))) = k2_group_1(esk1_0)
    | u1_struct_0(k5_group_2(esk1_0)) = k1_tarski(X1)
    | v1_xboole_0(u1_struct_0(esk1_0))
    | ~ r2_hidden(X1,u1_struct_0(k5_group_2(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_280,c_0_247]) ).

cnf(c_0_291,plain,
    ( v1_xboole_0(u1_struct_0(esk1_0))
    | ~ v1_xboole_0(u1_struct_0(k5_group_2(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_274,c_0_247]) ).

cnf(c_0_292,plain,
    ( k2_group_1(k5_group_2(esk1_0)) = X1
    | v1_xboole_0(u1_struct_0(k5_group_2(esk1_0)))
    | u1_struct_0(k5_group_2(esk1_0)) != k1_tarski(X1) ),
    inference(spm,[status(thm)],[c_0_248,c_0_281]) ).

cnf(c_0_293,plain,
    ( m1_subset_1(k2_group_1(k5_group_2(esk2_0)),u1_struct_0(esk2_0))
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_284]) ).

cnf(c_0_294,plain,
    ( k5_group_4(X1,X2) = k1_funct_1(X3,X4)
    | v3_struct_0(X1)
    | v3_struct_0(X5)
    | X3 != k3_latsubgr(X5,X1,X6)
    | X2 != k2_funct_2(u1_struct_0(X5),u1_struct_0(X1),X6,u1_struct_0(X4))
    | ~ v3_group_1(X1)
    | ~ v3_group_1(X5)
    | ~ v4_group_1(X1)
    | ~ v4_group_1(X5)
    | ~ l1_group_1(X1)
    | ~ l1_group_1(X5)
    | ~ v1_funct_1(X6)
    | ~ v1_funct_1(X3)
    | ~ v1_group_1(X4)
    | ~ m1_group_2(X4,X5)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_funct_2(X6,u1_struct_0(X5),u1_struct_0(X1))
    | ~ m2_relset_1(X6,u1_struct_0(X5),u1_struct_0(X1))
    | ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X5)),u1_struct_0(k11_group_4(X1)))
    | ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X5)),u1_struct_0(k11_group_4(X1))) ),
    i_0_36 ).

cnf(c_0_295,plain,
    m2_relset_1(k3_latsubgr(esk1_0,esk2_0,esk3_0),u1_struct_0(k11_group_4(esk1_0)),u1_struct_0(k11_group_4(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(spm,[status(thm)],[c_0_285,c_0_209]),c_0_210]),c_0_211]),c_0_213]),c_0_226]),c_0_216]),c_0_227]),c_0_217]),c_0_228])]),c_0_229]),c_0_214]) ).

cnf(c_0_296,plain,
    v1_funct_2(k3_latsubgr(esk1_0,esk2_0,esk3_0),u1_struct_0(k11_group_4(esk1_0)),u1_struct_0(k11_group_4(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(spm,[status(thm)],[c_0_286,c_0_209]),c_0_210]),c_0_211]),c_0_213]),c_0_226]),c_0_216]),c_0_227]),c_0_217]),c_0_228])]),c_0_229]),c_0_214]) ).

cnf(c_0_297,plain,
    v1_funct_1(k3_latsubgr(esk1_0,esk2_0,esk3_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(spm,[status(thm)],[c_0_287,c_0_209]),c_0_210]),c_0_211]),c_0_213]),c_0_226]),c_0_216]),c_0_227]),c_0_217]),c_0_228])]),c_0_229]),c_0_214]) ).

cnf(c_0_298,negated_conjecture,
    ( esk4_2(X1,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,k1_tarski(X2))) = X1
    | k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,k1_tarski(X2)) = k1_tarski(X1)
    | k1_funct_1(esk3_0,X2) != X1 ),
    inference(ef,[status(thm)],[c_0_288]) ).

cnf(c_0_299,plain,
    ( r2_hidden(esk24_5(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(k5_group_2(esk1_0)),esk3_0,k2_group_1(esk2_0)),u1_struct_0(k5_group_2(esk1_0)))
    | v1_xboole_0(u1_struct_0(esk2_0))
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_289]),c_0_207]),c_0_210]),c_0_211])]) ).

cnf(c_0_300,plain,
    ( esk4_2(k2_group_1(k5_group_2(esk1_0)),u1_struct_0(k5_group_2(esk1_0))) = k2_group_1(esk1_0)
    | k1_tarski(k2_group_1(k5_group_2(esk1_0))) = u1_struct_0(k5_group_2(esk1_0))
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_281]),c_0_291]) ).

cnf(c_0_301,plain,
    ( k2_group_1(k5_group_2(esk1_0)) = k2_group_1(esk1_0)
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_247]),c_0_291]) ).

cnf(c_0_302,plain,
    ( k18_group_2(X1,X2) = k1_tarski(X2)
    | v1_xboole_0(X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_136 ).

cnf(c_0_303,plain,
    ( m1_subset_1(k6_domain_1(u1_struct_0(esk2_0),k2_group_1(k5_group_2(esk2_0))),k1_zfmisc_1(u1_struct_0(esk2_0)))
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_260,c_0_293]) ).

cnf(c_0_304,plain,
    ( k6_domain_1(u1_struct_0(esk2_0),k2_group_1(k5_group_2(esk2_0))) = k1_tarski(k2_group_1(k5_group_2(esk2_0)))
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_241,c_0_293]) ).

cnf(c_0_305,plain,
    ( k2_group_1(k5_group_2(esk2_0)) = X1
    | v1_xboole_0(u1_struct_0(k5_group_2(esk2_0)))
    | u1_struct_0(k5_group_2(esk2_0)) != k1_tarski(X1) ),
    inference(spm,[status(thm)],[c_0_248,c_0_283]) ).

cnf(c_0_306,plain,
    ( k5_group_4(esk2_0,X1) = k1_funct_1(k3_latsubgr(esk1_0,esk2_0,esk3_0),X2)
    | X1 != k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),X3,u1_struct_0(X2))
    | k3_latsubgr(esk1_0,esk2_0,esk3_0) != k3_latsubgr(esk1_0,esk2_0,X3)
    | ~ m1_group_2(X2,esk1_0)
    | ~ v1_group_1(X2)
    | ~ m2_relset_1(X3,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ v1_funct_2(X3,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk2_0)))
    | ~ v1_funct_1(X3) ),
    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(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]),c_0_297]),c_0_213]),c_0_226]),c_0_216]),c_0_227]),c_0_217]),c_0_228])]),c_0_229]),c_0_214]) ).

cnf(c_0_307,plain,
    ( m1_subset_1(k2_funct_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,X1,X2)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_52 ).

cnf(c_0_308,negated_conjecture,
    ( esk4_2(k1_funct_1(esk3_0,X1),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,k1_tarski(X1))) = k1_funct_1(esk3_0,X1)
    | k1_tarski(k1_funct_1(esk3_0,X1)) = k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,k1_tarski(X1)) ),
    inference(er,[status(thm)],[c_0_298]) ).

cnf(c_0_309,plain,
    ( esk24_5(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(k5_group_2(esk1_0)),esk3_0,k2_group_1(esk2_0)) = X1
    | v1_xboole_0(u1_struct_0(esk1_0))
    | v1_xboole_0(u1_struct_0(esk2_0))
    | u1_struct_0(k5_group_2(esk1_0)) != k1_tarski(X1) ),
    inference(spm,[status(thm)],[c_0_248,c_0_299]) ).

cnf(c_0_310,plain,
    ( k1_tarski(k2_group_1(k5_group_2(esk1_0))) = u1_struct_0(k5_group_2(esk1_0))
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_300]),c_0_256]),c_0_301]) ).

cnf(c_0_311,plain,
    ( v3_struct_0(X1)
    | r1_group_2(X1,k5_group_4(X1,X2),k5_group_2(X1))
    | X2 != k18_group_2(u1_struct_0(X1),k2_group_1(X1))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_150 ).

cnf(c_0_312,plain,
    ( k18_group_2(u1_struct_0(esk2_0),k2_group_1(esk2_0)) = k1_tarski(k2_group_1(esk2_0))
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_302,c_0_261]) ).

cnf(c_0_313,plain,
    ( m1_subset_1(k1_tarski(k2_group_1(k5_group_2(esk2_0))),k1_zfmisc_1(u1_struct_0(esk2_0)))
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_303,c_0_304]) ).

cnf(c_0_314,plain,
    ( k2_group_1(k5_group_2(esk2_0)) = k2_group_1(esk2_0)
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_275]),c_0_284]) ).

cnf(c_0_315,plain,
    ( v3_struct_0(X1)
    | v1_group_1(k5_group_4(X1,X2))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_62 ).

cnf(c_0_316,plain,
    ( k5_group_4(esk2_0,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),X1,u1_struct_0(X2))) = k1_funct_1(k3_latsubgr(esk1_0,esk2_0,esk3_0),X2)
    | k3_latsubgr(esk1_0,esk2_0,esk3_0) != k3_latsubgr(esk1_0,esk2_0,X1)
    | ~ m1_group_2(X2,esk1_0)
    | ~ v1_group_1(X2)
    | ~ m2_relset_1(X1,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ v1_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ m1_subset_1(k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),X1,u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(esk2_0)))
    | ~ v1_funct_1(X1) ),
    inference(er,[status(thm)],[c_0_306]) ).

cnf(c_0_317,plain,
    m1_subset_1(k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1),k1_zfmisc_1(u1_struct_0(esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_209]),c_0_210]),c_0_211])]) ).

cnf(c_0_318,plain,
    ( k1_tarski(k1_funct_1(esk3_0,X1)) = k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,k1_tarski(X1))
    | ~ r2_hidden(k1_funct_1(esk3_0,X1),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,k1_tarski(X1))) ),
    inference(spm,[status(thm)],[c_0_268,c_0_308]) ).

cnf(c_0_319,plain,
    ( k1_funct_1(esk3_0,esk24_5(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(k5_group_2(esk1_0)),esk3_0,k2_group_1(esk2_0))) = k2_group_1(esk2_0)
    | v1_xboole_0(u1_struct_0(esk2_0))
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_289]),c_0_207]),c_0_210]),c_0_211])]) ).

cnf(c_0_320,plain,
    ( esk24_5(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(k5_group_2(esk1_0)),esk3_0,k2_group_1(esk2_0)) = k2_group_1(k5_group_2(esk1_0))
    | v1_xboole_0(u1_struct_0(esk2_0))
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_309,c_0_310]) ).

cnf(c_0_321,plain,
    ( r1_group_2(esk2_0,k5_group_4(esk2_0,X1),k5_group_2(esk2_0))
    | v1_xboole_0(u1_struct_0(esk2_0))
    | X1 != k1_tarski(k2_group_1(esk2_0))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk2_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_311,c_0_312]),c_0_226]),c_0_227]),c_0_228])]),c_0_229]) ).

cnf(c_0_322,plain,
    ( m1_subset_1(k1_tarski(k2_group_1(esk2_0)),k1_zfmisc_1(u1_struct_0(esk2_0)))
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_313,c_0_314]) ).

cnf(c_0_323,plain,
    ( v1_group_1(k5_group_4(esk2_0,k1_tarski(k2_group_1(k5_group_2(esk2_0)))))
    | v1_xboole_0(u1_struct_0(esk2_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_315,c_0_313]),c_0_226]),c_0_227]),c_0_228])]),c_0_229]) ).

cnf(c_0_324,plain,
    ( v3_struct_0(X1)
    | m1_group_2(k5_group_4(X1,X2),X1)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_61 ).

cnf(c_0_325,plain,
    ( k5_group_4(esk2_0,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(X1))) = k1_funct_1(k3_latsubgr(esk1_0,esk2_0,esk3_0),X1)
    | ~ m1_group_2(X1,esk1_0)
    | ~ v1_group_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_207]),c_0_210]),c_0_211])]) ).

cnf(c_0_326,plain,
    ( k1_tarski(k1_funct_1(esk3_0,k2_group_1(k5_group_2(esk1_0)))) = k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_2(esk1_0)))
    | v1_xboole_0(u1_struct_0(esk1_0))
    | ~ r2_hidden(k1_funct_1(esk3_0,k2_group_1(k5_group_2(esk1_0))),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_2(esk1_0)))) ),
    inference(spm,[status(thm)],[c_0_318,c_0_310]) ).

cnf(c_0_327,plain,
    ( k1_funct_1(esk3_0,k2_group_1(k5_group_2(esk1_0))) = k2_group_1(esk2_0)
    | v1_xboole_0(u1_struct_0(esk1_0))
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_319,c_0_320]) ).

cnf(c_0_328,plain,
    ( X1 = X2
    | v3_struct_0(X3)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_group_1(X2)
    | ~ v1_group_1(X1)
    | ~ m1_group_2(X2,X3)
    | ~ m1_group_2(X1,X3)
    | ~ r1_group_2(X3,X1,X2) ),
    i_0_143 ).

cnf(c_0_329,plain,
    ( r1_group_2(esk2_0,k5_group_4(esk2_0,k1_tarski(k2_group_1(esk2_0))),k5_group_2(esk2_0))
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_330,plain,
    ( v1_group_1(k5_group_4(esk2_0,k1_tarski(k2_group_1(esk2_0))))
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_323,c_0_314]) ).

cnf(c_0_331,plain,
    ( m1_group_2(k5_group_4(esk2_0,k1_tarski(k2_group_1(esk2_0))),esk2_0)
    | v1_xboole_0(u1_struct_0(esk2_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_324,c_0_322]),c_0_226]),c_0_227]),c_0_228])]),c_0_229]) ).

cnf(c_0_332,negated_conjecture,
    k5_group_4(esk2_0,k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_2(esk1_0)))) = k1_funct_1(k3_latsubgr(esk1_0,esk2_0,esk3_0),k5_group_2(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_232]),c_0_233])]) ).

cnf(c_0_333,plain,
    ( k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_2(esk1_0))) = k1_tarski(k2_group_1(esk2_0))
    | v1_xboole_0(u1_struct_0(esk2_0))
    | v1_xboole_0(u1_struct_0(esk1_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_289]) ).

cnf(c_0_334,plain,
    ( k5_group_4(esk2_0,k1_tarski(k2_group_1(esk2_0))) = k5_group_2(esk2_0)
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(csr,[status(thm)],[inference(csr,[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(spm,[status(thm)],[c_0_328,c_0_329]),c_0_251]),c_0_252]),c_0_226]),c_0_227]),c_0_228])]),c_0_229]),c_0_330]),c_0_331]) ).

cnf(c_0_335,negated_conjecture,
    ( k5_group_4(esk2_0,k1_tarski(k2_group_1(esk2_0))) = k1_funct_1(k3_latsubgr(esk1_0,esk2_0,esk3_0),k5_group_2(esk1_0))
    | v1_xboole_0(u1_struct_0(esk1_0))
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_332,c_0_333]) ).

cnf(c_0_336,negated_conjecture,
    k1_funct_1(k3_latsubgr(esk1_0,esk2_0,esk3_0),k5_group_2(esk1_0)) != k5_group_2(esk2_0),
    i_0_1 ).

cnf(c_0_337,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    i_0_66 ).

cnf(c_0_338,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    i_0_109 ).

cnf(c_0_339,plain,
    ( v1_xboole_0(u1_struct_0(esk1_0))
    | v1_xboole_0(u1_struct_0(esk2_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_336]) ).

cnf(c_0_340,negated_conjecture,
    l1_struct_0(esk1_0),
    inference(spm,[status(thm)],[c_0_337,c_0_213]) ).

cnf(c_0_341,plain,
    v1_xboole_0(u1_struct_0(esk2_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_340])]),c_0_214]) ).

cnf(c_0_342,negated_conjecture,
    l1_struct_0(esk2_0),
    inference(spm,[status(thm)],[c_0_337,c_0_226]) ).

cnf(c_0_343,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_341]),c_0_342])]),c_0_229]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP652+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n008.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon Jun 13 16:12:24 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 233.00/31.00  # ENIGMATIC: Solved by paramils157:
% 233.00/31.00  # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 233.00/31.00  # Preprocessing time       : 0.013 s
% 233.00/31.00  
% 233.00/31.00  # Proof found!
% 233.00/31.00  # SZS status Theorem
% 233.00/31.00  # SZS output start CNFRefutation
% See solution above
% 233.00/31.00  # Training examples: 0 positive, 0 negative
% 233.00/31.00  
% 233.00/31.00  # -------------------------------------------------
% 233.00/31.00  # User time                : 2.307 s
% 233.00/31.00  # System time              : 0.014 s
% 233.00/31.00  # Total time               : 2.321 s
% 233.00/31.00  # ...preprocessing         : 0.013 s
% 233.00/31.00  # ...main loop             : 2.307 s
% 233.00/31.00  # Maximum resident set size: 24916 pages
% 233.00/31.00  
%------------------------------------------------------------------------------