TSTP Solution File: GRP621+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP621+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 08:39:31 EDT 2022
% Result : Theorem 8.35s 2.51s
% Output : CNFRefutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 35
% Syntax : Number of clauses : 128 ( 44 unt; 63 nHn; 125 RR)
% Number of literals : 606 ( 13 equ; 408 neg)
% Maximal clause size : 23 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-5 aty)
% Number of variables : 193 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_137,plain,
( v3_struct_0(X1)
| m1_subset_1(esk27_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_137) ).
cnf(i_0_64,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_64) ).
cnf(i_0_4,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_4) ).
cnf(i_0_8,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_8) ).
cnf(i_0_152,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_152) ).
cnf(i_0_146,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_146) ).
cnf(i_0_82,plain,
m1_subset_1(esk10_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_82) ).
cnf(i_0_72,plain,
( v1_funct_1(X1)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X4,X2)
| ~ m2_fraenkel(X1,X4,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_72) ).
cnf(i_0_3,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_3) ).
cnf(i_0_52,plain,
( v3_struct_0(X1)
| m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_52) ).
cnf(i_0_5,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
v1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_7) ).
cnf(i_0_141,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X3)
| ~ m1_fraenkel(X3,X4,X1)
| ~ m2_fraenkel(X2,X4,X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_141) ).
cnf(i_0_46,plain,
( v3_struct_0(X1)
| m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| X3 != k1_autgroup(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_46) ).
cnf(i_0_89,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_89) ).
cnf(i_0_47,plain,
( v3_struct_0(X1)
| v1_group_6(X2,X1,X1)
| X3 != k1_autgroup(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_47) ).
cnf(i_0_48,plain,
( v3_struct_0(X1)
| v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| X3 != k1_autgroup(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_48) ).
cnf(i_0_67,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_67) ).
cnf(i_0_2,negated_conjecture,
m2_fraenkel(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_2) ).
cnf(i_0_136,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk27_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_136) ).
cnf(i_0_70,plain,
( v1_xboole_0(X1)
| m2_relset_1(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_70) ).
cnf(i_0_143,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_143) ).
cnf(i_0_151,plain,
( v3_struct_0(X1)
| v4_group_6(X2,X1,X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X1,X1)
| ~ r2_hidden(X2,k1_autgroup(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_151) ).
cnf(i_0_139,plain,
( k8_group_6(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| v3_struct_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_group_1(X3)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X3)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ l1_group_1(X3)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_group_6(X5,X2,X3)
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_139) ).
cnf(i_0_59,plain,
( v1_xboole_0(X1)
| v1_funct_1(k7_funct_2(X2,X1,X3,X4,X5))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X5,X1,X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X5,X1,X3)
| ~ v1_funct_2(X4,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_59) ).
cnf(i_0_138,plain,
( k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| v1_xboole_0(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X5,X2,X3)
| ~ v1_funct_2(X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_138) ).
cnf(i_0_60,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| m2_relset_1(k8_group_6(X3,X2,X1,X4,X5),u1_struct_0(X3),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X3)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_group_6(X5,X2,X1)
| ~ v1_group_6(X4,X3,X2)
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_60) ).
cnf(i_0_61,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v1_group_6(k8_group_6(X3,X2,X1,X4,X5),X3,X1)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X3)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_group_6(X5,X2,X1)
| ~ v1_group_6(X4,X3,X2)
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_61) ).
cnf(i_0_62,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v1_funct_2(k8_group_6(X3,X2,X1,X4,X5),u1_struct_0(X3),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X3)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_group_6(X5,X2,X1)
| ~ v1_group_6(X4,X3,X2)
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_62) ).
cnf(i_0_154,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v4_group_6(k8_group_6(X3,X2,X1,X4,X5),X3,X1)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X3)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_group_6(X5,X2,X1)
| ~ v1_group_6(X4,X3,X2)
| ~ v4_group_6(X5,X2,X1)
| ~ v4_group_6(X4,X3,X2)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_154) ).
cnf(i_0_150,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k1_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X1,X1)
| ~ v4_group_6(X2,X1,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_150) ).
cnf(i_0_140,plain,
( v1_xboole_0(X1)
| m2_fraenkel(X2,X3,X1,X4)
| ~ m1_subset_1(X2,X4)
| ~ m1_fraenkel(X4,X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_140) ).
cnf(i_0_145,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_145) ).
cnf(i_0_1,negated_conjecture,
~ m2_fraenkel(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk3_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mye9y7u4/lgb.p',i_0_1) ).
cnf(c_0_190,plain,
( v3_struct_0(X1)
| m1_subset_1(esk27_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
i_0_137 ).
cnf(c_0_191,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_64 ).
cnf(c_0_192,plain,
( m1_subset_1(esk27_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_193,negated_conjecture,
l1_group_1(esk1_0),
i_0_4 ).
cnf(c_0_194,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_8 ).
cnf(c_0_195,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
i_0_152 ).
cnf(c_0_196,negated_conjecture,
m1_subset_1(esk27_1(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]) ).
cnf(c_0_197,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_146 ).
cnf(c_0_198,plain,
m1_subset_1(esk10_1(X1),X1),
i_0_82 ).
cnf(c_0_199,plain,
( v1_funct_1(X1)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X4,X2)
| ~ m2_fraenkel(X1,X4,X2,X3) ),
i_0_72 ).
cnf(c_0_200,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
i_0_3 ).
cnf(c_0_201,plain,
( v3_struct_0(X1)
| m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_52 ).
cnf(c_0_202,negated_conjecture,
v4_group_1(esk1_0),
i_0_5 ).
cnf(c_0_203,negated_conjecture,
v3_group_1(esk1_0),
i_0_6 ).
cnf(c_0_204,negated_conjecture,
v1_group_1(esk1_0),
i_0_7 ).
cnf(c_0_205,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X3)
| ~ m1_fraenkel(X3,X4,X1)
| ~ m2_fraenkel(X2,X4,X1,X3) ),
i_0_141 ).
cnf(c_0_206,plain,
( v3_struct_0(X1)
| m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| X3 != k1_autgroup(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
i_0_46 ).
cnf(c_0_207,plain,
( ~ r2_hidden(X1,esk27_1(esk1_0))
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_208,plain,
( r2_hidden(esk10_1(X1),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_209,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_89 ).
cnf(c_0_210,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v1_funct_1(esk2_0)
| ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_211,negated_conjecture,
m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_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_201,c_0_193]),c_0_202]),c_0_203]),c_0_204])]),c_0_194]) ).
cnf(c_0_212,plain,
( v3_struct_0(X1)
| v1_group_6(X2,X1,X1)
| X3 != k1_autgroup(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
i_0_47 ).
cnf(c_0_213,plain,
( v3_struct_0(X1)
| v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| X3 != k1_autgroup(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
i_0_48 ).
cnf(c_0_214,negated_conjecture,
( m1_subset_1(esk2_0,k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_205,c_0_200]) ).
cnf(c_0_215,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
i_0_67 ).
cnf(c_0_216,negated_conjecture,
m2_fraenkel(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
i_0_2 ).
cnf(c_0_217,plain,
( m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_206]),c_0_201]) ).
cnf(c_0_218,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk27_1(X1)) ),
i_0_136 ).
cnf(c_0_219,plain,
( v1_xboole_0(esk27_1(esk1_0))
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_220,plain,
( v1_xboole_0(X1)
| m2_relset_1(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
i_0_70 ).
cnf(c_0_221,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_209,c_0_191]) ).
cnf(c_0_222,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v1_funct_1(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_211])]) ).
cnf(c_0_223,plain,
( v1_group_6(X1,X2,X2)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_212]),c_0_201]) ).
cnf(c_0_224,plain,
( v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_213]),c_0_201]) ).
cnf(c_0_225,negated_conjecture,
( m1_subset_1(esk2_0,k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_211])]) ).
cnf(c_0_226,plain,
~ v1_xboole_0(k1_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_215,c_0_211]) ).
cnf(c_0_227,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v1_funct_1(esk3_0)
| ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_199,c_0_216]) ).
cnf(c_0_228,negated_conjecture,
( m1_subset_1(esk3_0,k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_205,c_0_216]) ).
cnf(c_0_229,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_143 ).
cnf(c_0_230,negated_conjecture,
m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(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_217,c_0_200]),c_0_193]),c_0_202]),c_0_203]),c_0_204])]),c_0_194]) ).
cnf(c_0_231,plain,
( ~ l1_struct_0(esk1_0)
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_194]) ).
cnf(c_0_232,plain,
( v3_struct_0(X1)
| v4_group_6(X2,X1,X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X1,X1)
| ~ r2_hidden(X2,k1_autgroup(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_151 ).
cnf(c_0_233,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_200]),c_0_211])]) ).
cnf(c_0_234,plain,
v1_funct_1(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_193])]),c_0_194]) ).
cnf(c_0_235,negated_conjecture,
v1_group_6(esk2_0,esk1_0,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_223,c_0_200]),c_0_193]),c_0_202]),c_0_203]),c_0_204])]),c_0_194]) ).
cnf(c_0_236,negated_conjecture,
v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(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_224,c_0_200]),c_0_193]),c_0_202]),c_0_203]),c_0_204])]),c_0_194]) ).
cnf(c_0_237,plain,
( r2_hidden(esk2_0,k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_225]),c_0_226]) ).
cnf(c_0_238,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v1_funct_1(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_211])]) ).
cnf(c_0_239,negated_conjecture,
( m1_subset_1(esk3_0,k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_211])]) ).
cnf(c_0_240,plain,
( k8_group_6(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| v3_struct_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_group_1(X3)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X3)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ l1_group_1(X3)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_group_6(X5,X2,X3)
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
i_0_139 ).
cnf(c_0_241,plain,
m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_242,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(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_217,c_0_216]),c_0_193]),c_0_202]),c_0_203]),c_0_204])]),c_0_194]) ).
cnf(c_0_243,plain,
( v1_xboole_0(X1)
| v1_funct_1(k7_funct_2(X2,X1,X3,X4,X5))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X5,X1,X3)
| ~ m1_relset_1(X4,X2,X1)
| ~ v1_funct_2(X5,X1,X3)
| ~ v1_funct_2(X4,X2,X1) ),
i_0_59 ).
cnf(c_0_244,plain,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_191]),c_0_193])]) ).
cnf(c_0_245,plain,
( k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| v1_xboole_0(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X5,X2,X3)
| ~ v1_funct_2(X4,X1,X2) ),
i_0_138 ).
cnf(c_0_246,negated_conjecture,
( v4_group_6(esk2_0,esk1_0,esk1_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]),c_0_235]),c_0_193]),c_0_202]),c_0_203]),c_0_204]),c_0_236])]),c_0_194]),c_0_237]) ).
cnf(c_0_247,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_216]),c_0_211])]) ).
cnf(c_0_248,plain,
v1_funct_1(esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_238]),c_0_193])]),c_0_194]) ).
cnf(c_0_249,negated_conjecture,
v1_group_6(esk3_0,esk1_0,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_223,c_0_216]),c_0_193]),c_0_202]),c_0_203]),c_0_204])]),c_0_194]) ).
cnf(c_0_250,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(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_224,c_0_216]),c_0_193]),c_0_202]),c_0_203]),c_0_204])]),c_0_194]) ).
cnf(c_0_251,plain,
( r2_hidden(esk3_0,k1_autgroup(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_239]),c_0_226]) ).
cnf(c_0_252,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| m2_relset_1(k8_group_6(X3,X2,X1,X4,X5),u1_struct_0(X3),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X3)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_group_6(X5,X2,X1)
| ~ v1_group_6(X4,X3,X2)
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2)) ),
i_0_60 ).
cnf(c_0_253,plain,
( k8_group_6(X1,esk1_0,esk1_0,X2,esk2_0) = k5_relat_1(X2,esk2_0)
| v3_struct_0(X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X1,esk1_0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_234]),c_0_235]),c_0_193]),c_0_202]),c_0_203]),c_0_236])]),c_0_194]) ).
cnf(c_0_254,plain,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_229,c_0_242]) ).
cnf(c_0_255,plain,
( v1_funct_1(k7_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),X2,esk2_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk1_0))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,u1_struct_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_243,c_0_241]),c_0_234]),c_0_236])]),c_0_244]) ).
cnf(c_0_256,plain,
( k7_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),X2,esk2_0) = k5_relat_1(X2,esk2_0)
| ~ m1_relset_1(X2,X1,u1_struct_0(esk1_0))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,u1_struct_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_245,c_0_241]),c_0_234]),c_0_236])]),c_0_244]) ).
cnf(c_0_257,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v1_group_6(k8_group_6(X3,X2,X1,X4,X5),X3,X1)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X3)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_group_6(X5,X2,X1)
| ~ v1_group_6(X4,X3,X2)
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2)) ),
i_0_61 ).
cnf(c_0_258,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v1_funct_2(k8_group_6(X3,X2,X1,X4,X5),u1_struct_0(X3),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X3)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_group_6(X5,X2,X1)
| ~ v1_group_6(X4,X3,X2)
| ~ m1_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2)) ),
i_0_62 ).
cnf(c_0_259,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v4_group_6(k8_group_6(X3,X2,X1,X4,X5),X3,X1)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X3)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_group_6(X5,X2,X1)
| ~ v1_group_6(X4,X3,X2)
| ~ v4_group_6(X5,X2,X1)
| ~ v4_group_6(X4,X3,X2)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2)) ),
i_0_154 ).
cnf(c_0_260,negated_conjecture,
v4_group_6(esk2_0,esk1_0,esk1_0),
inference(sr,[status(thm)],[c_0_246,c_0_244]) ).
cnf(c_0_261,negated_conjecture,
( v4_group_6(esk3_0,esk1_0,esk1_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_247]),c_0_248]),c_0_249]),c_0_193]),c_0_202]),c_0_203]),c_0_204]),c_0_250])]),c_0_194]),c_0_251]) ).
cnf(c_0_262,plain,
( m2_relset_1(k8_group_6(X1,esk1_0,esk1_0,X2,esk2_0),u1_struct_0(X1),u1_struct_0(esk1_0))
| v3_struct_0(X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X1,esk1_0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_241]),c_0_234]),c_0_235]),c_0_193]),c_0_202]),c_0_203]),c_0_236])]),c_0_194]) ).
cnf(c_0_263,plain,
k8_group_6(esk1_0,esk1_0,esk1_0,esk3_0,esk2_0) = k5_relat_1(esk3_0,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_248]),c_0_249]),c_0_193]),c_0_202]),c_0_203]),c_0_250])]),c_0_194]) ).
cnf(c_0_264,plain,
( v1_funct_1(k5_relat_1(X1,esk2_0))
| ~ m1_relset_1(X1,X2,u1_struct_0(esk1_0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_265,plain,
( v1_group_6(k8_group_6(X1,esk1_0,esk1_0,X2,esk2_0),X1,esk1_0)
| v3_struct_0(X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X1,esk1_0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_241]),c_0_234]),c_0_235]),c_0_193]),c_0_202]),c_0_203]),c_0_236])]),c_0_194]) ).
cnf(c_0_266,plain,
( v1_funct_2(k8_group_6(X1,esk1_0,esk1_0,X2,esk2_0),u1_struct_0(X1),u1_struct_0(esk1_0))
| v3_struct_0(X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X1,esk1_0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_241]),c_0_234]),c_0_235]),c_0_193]),c_0_202]),c_0_203]),c_0_236])]),c_0_194]) ).
cnf(c_0_267,negated_conjecture,
( v4_group_6(k8_group_6(X1,esk1_0,esk1_0,X2,esk2_0),X1,esk1_0)
| v3_struct_0(X1)
| ~ v4_group_6(X2,X1,esk1_0)
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X1,esk1_0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk1_0))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_230]),c_0_260]),c_0_234]),c_0_235]),c_0_193]),c_0_202]),c_0_203]),c_0_236])]),c_0_194]) ).
cnf(c_0_268,negated_conjecture,
v4_group_6(esk3_0,esk1_0,esk1_0),
inference(sr,[status(thm)],[c_0_261,c_0_244]) ).
cnf(c_0_269,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k1_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X1,X1)
| ~ v4_group_6(X2,X1,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_150 ).
cnf(c_0_270,plain,
m2_relset_1(k5_relat_1(esk3_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_254]),c_0_263]),c_0_248]),c_0_249]),c_0_193]),c_0_202]),c_0_203]),c_0_250])]),c_0_194]) ).
cnf(c_0_271,plain,
v1_funct_1(k5_relat_1(esk3_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_254]),c_0_248]),c_0_250])]) ).
cnf(c_0_272,plain,
v1_group_6(k5_relat_1(esk3_0,esk2_0),esk1_0,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_254]),c_0_263]),c_0_248]),c_0_249]),c_0_193]),c_0_202]),c_0_203]),c_0_250])]),c_0_194]) ).
cnf(c_0_273,plain,
v1_funct_2(k5_relat_1(esk3_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_254]),c_0_263]),c_0_248]),c_0_249]),c_0_193]),c_0_202]),c_0_203]),c_0_250])]),c_0_194]) ).
cnf(c_0_274,negated_conjecture,
v4_group_6(k5_relat_1(esk3_0,esk2_0),esk1_0,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_242]),c_0_263]),c_0_268]),c_0_248]),c_0_249]),c_0_193]),c_0_202]),c_0_203]),c_0_250])]),c_0_194]) ).
cnf(c_0_275,plain,
( v1_xboole_0(X1)
| m2_fraenkel(X2,X3,X1,X4)
| ~ m1_subset_1(X2,X4)
| ~ m1_fraenkel(X4,X3,X1) ),
i_0_140 ).
cnf(c_0_276,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_145 ).
cnf(c_0_277,plain,
r2_hidden(k5_relat_1(esk3_0,esk2_0),k1_autgroup(esk1_0)),
inference(cn,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]),c_0_272]),c_0_193]),c_0_202]),c_0_203]),c_0_204]),c_0_273])]),c_0_194]),c_0_274])]) ).
cnf(c_0_278,negated_conjecture,
~ m2_fraenkel(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk3_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
i_0_1 ).
cnf(c_0_279,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0))
| ~ m1_subset_1(X1,k1_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_275,c_0_211]) ).
cnf(c_0_280,plain,
m1_subset_1(k5_relat_1(esk3_0,esk2_0),k1_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_281,negated_conjecture,
~ m2_fraenkel(k5_relat_1(esk3_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_256]),c_0_254]),c_0_248]),c_0_250])]) ).
cnf(c_0_282,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_244]),c_0_281]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP621+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n020.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 17:49:36 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.35/2.51 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.35/2.51 # No SInE strategy applied
% 8.35/2.51 # Trying AutoSched0 for 150 seconds
% 8.35/2.51 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.35/2.51 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.35/2.51 #
% 8.35/2.51 # Preprocessing time : 0.027 s
% 8.35/2.51 # Presaturation interreduction done
% 8.35/2.51
% 8.35/2.51 # Proof found!
% 8.35/2.51 # SZS status Theorem
% 8.35/2.51 # SZS output start CNFRefutation
% See solution above
% 8.35/2.51 # Training examples: 0 positive, 0 negative
% 8.35/2.51
% 8.35/2.51 # -------------------------------------------------
% 8.35/2.51 # User time : 0.102 s
% 8.35/2.51 # System time : 0.008 s
% 8.35/2.51 # Total time : 0.110 s
% 8.35/2.51 # Maximum resident set size: 7128 pages
% 8.35/2.51
%------------------------------------------------------------------------------