TSTP Solution File: GRP620+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP620+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 08:39:30 EDT 2022
% Result : Theorem 8.43s 2.49s
% Output : CNFRefutation 8.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 32
% Syntax : Number of clauses : 96 ( 35 unt; 38 nHn; 93 RR)
% Number of literals : 345 ( 4 equ; 222 neg)
% Maximal clause size : 19 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-1 aty)
% Number of variables : 133 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_133,plain,
( v3_struct_0(X1)
| m1_subset_1(esk26_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_133) ).
cnf(i_0_62,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_62) ).
cnf(i_0_146,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-h69iu6py/input.p',i_0_146) ).
cnf(i_0_141,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_141) ).
cnf(i_0_140,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_140) ).
cnf(i_0_80,plain,
m1_subset_1(esk9_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_80) ).
cnf(i_0_3,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_3) ).
cnf(i_0_7,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_7) ).
cnf(i_0_142,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_142) ).
cnf(i_0_132,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk26_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_132) ).
cnf(i_0_56,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-h69iu6py/input.p',i_0_56) ).
cnf(i_0_4,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
v1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_6) ).
cnf(i_0_70,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-h69iu6py/input.p',i_0_70) ).
cnf(i_0_2,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-h69iu6py/input.p',i_0_2) ).
cnf(i_0_134,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-h69iu6py/input.p',i_0_134) ).
cnf(i_0_51,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-h69iu6py/input.p',i_0_51) ).
cnf(i_0_135,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-h69iu6py/input.p',i_0_135) ).
cnf(i_0_65,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_65) ).
cnf(i_0_85,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_85) ).
cnf(i_0_139,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_139) ).
cnf(i_0_68,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-h69iu6py/input.p',i_0_68) ).
cnf(i_0_69,plain,
( v1_xboole_0(X1)
| v1_funct_2(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_69) ).
cnf(i_0_147,plain,
( v3_struct_0(X1)
| m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_147) ).
cnf(i_0_148,plain,
( v3_struct_0(X1)
| v1_group_6(k2_funct_1(X2),X1,X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_148) ).
cnf(i_0_149,plain,
( v3_struct_0(X1)
| v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_149) ).
cnf(i_0_150,plain,
( v3_struct_0(X1)
| v1_funct_1(k2_funct_1(X2))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_150) ).
cnf(i_0_1,negated_conjecture,
~ m2_fraenkel(k2_funct_1(esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_1) ).
cnf(i_0_152,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v4_group_6(X3,X2,X1)
| X3 != k2_funct_1(X4)
| ~ 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_1(X4)
| ~ v1_group_6(X3,X2,X1)
| ~ v1_group_6(X4,X1,X2)
| ~ v4_group_6(X4,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h69iu6py/input.p',i_0_152) ).
cnf(i_0_145,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-h69iu6py/input.p',i_0_145) ).
cnf(i_0_144,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-h69iu6py/input.p',i_0_144) ).
cnf(c_0_185,plain,
( v3_struct_0(X1)
| m1_subset_1(esk26_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
i_0_133 ).
cnf(c_0_186,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_62 ).
cnf(c_0_187,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
i_0_146 ).
cnf(c_0_188,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
i_0_141 ).
cnf(c_0_189,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_140 ).
cnf(c_0_190,plain,
m1_subset_1(esk9_1(X1),X1),
i_0_80 ).
cnf(c_0_191,plain,
( v3_struct_0(X1)
| m1_subset_1(esk26_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_192,negated_conjecture,
l1_group_1(esk1_0),
i_0_3 ).
cnf(c_0_193,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_7 ).
cnf(c_0_194,plain,
( ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X3)
| ~ v1_xboole_0(X3) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_195,plain,
( r2_hidden(esk9_1(X1),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_196,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
i_0_142 ).
cnf(c_0_197,negated_conjecture,
m1_subset_1(esk26_1(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]) ).
cnf(c_0_198,plain,
( v1_xboole_0(X1)
| ~ r1_tarski(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_199,plain,
r1_tarski(esk26_1(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_200,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk26_1(X1)) ),
i_0_132 ).
cnf(c_0_201,plain,
( v1_xboole_0(esk26_1(esk1_0))
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_202,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_56 ).
cnf(c_0_203,negated_conjecture,
v4_group_1(esk1_0),
i_0_4 ).
cnf(c_0_204,negated_conjecture,
v3_group_1(esk1_0),
i_0_5 ).
cnf(c_0_205,negated_conjecture,
v1_group_1(esk1_0),
i_0_6 ).
cnf(c_0_206,plain,
( ~ l1_struct_0(esk1_0)
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_193]) ).
cnf(c_0_207,plain,
( v1_funct_1(X1)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X4,X2)
| ~ m2_fraenkel(X1,X4,X2,X3) ),
i_0_70 ).
cnf(c_0_208,negated_conjecture,
m2_fraenkel(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
i_0_2 ).
cnf(c_0_209,plain,
( v1_xboole_0(X1)
| m2_fraenkel(X2,X3,X1,X4)
| ~ m1_subset_1(X2,X4)
| ~ m1_fraenkel(X4,X3,X1) ),
i_0_134 ).
cnf(c_0_210,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_202,c_0_192]),c_0_203]),c_0_204]),c_0_205])]),c_0_193]) ).
cnf(c_0_211,plain,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_186]),c_0_192])]) ).
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_51 ).
cnf(c_0_213,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X3)
| ~ m1_fraenkel(X3,X4,X1)
| ~ m2_fraenkel(X2,X4,X1,X3) ),
i_0_135 ).
cnf(c_0_214,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
i_0_65 ).
cnf(c_0_215,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_85 ).
cnf(c_0_216,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_207,c_0_208]) ).
cnf(c_0_217,negated_conjecture,
( 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211]) ).
cnf(c_0_218,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_139 ).
cnf(c_0_219,plain,
( v1_xboole_0(X1)
| m2_relset_1(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
i_0_68 ).
cnf(c_0_220,plain,
( v1_group_6(X1,X2,X2)
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_212]),c_0_202]) ).
cnf(c_0_221,negated_conjecture,
m1_subset_1(esk2_0,k1_autgroup(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_208]),c_0_210])]),c_0_211]) ).
cnf(c_0_222,plain,
~ v1_xboole_0(k1_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_214,c_0_210]) ).
cnf(c_0_223,plain,
( v1_xboole_0(X1)
| v1_funct_2(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
i_0_69 ).
cnf(c_0_224,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_186]) ).
cnf(c_0_225,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_216,c_0_210])]) ).
cnf(c_0_226,plain,
( v3_struct_0(X1)
| m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
i_0_147 ).
cnf(c_0_227,plain,
( v3_struct_0(X1)
| v1_group_6(k2_funct_1(X2),X1,X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
i_0_148 ).
cnf(c_0_228,plain,
( v3_struct_0(X1)
| v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
i_0_149 ).
cnf(c_0_229,plain,
( v3_struct_0(X1)
| v1_funct_1(k2_funct_1(X2))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
i_0_150 ).
cnf(c_0_230,negated_conjecture,
~ m2_fraenkel(k2_funct_1(esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0)),
i_0_1 ).
cnf(c_0_231,plain,
( m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0))
| ~ r2_hidden(X1,k1_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_232,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v4_group_6(X3,X2,X1)
| X3 != k2_funct_1(X4)
| ~ 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_1(X4)
| ~ v1_group_6(X3,X2,X1)
| ~ v1_group_6(X4,X1,X2)
| ~ v4_group_6(X4,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
i_0_152 ).
cnf(c_0_233,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_145 ).
cnf(c_0_234,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(spm,[status(thm)],[c_0_219,c_0_208]),c_0_210])]),c_0_211]) ).
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_220,c_0_208]),c_0_192]),c_0_203]),c_0_204]),c_0_205])]),c_0_193]) ).
cnf(c_0_236,plain,
r2_hidden(esk2_0,k1_autgroup(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_221]),c_0_222]) ).
cnf(c_0_237,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(spm,[status(thm)],[c_0_223,c_0_208]),c_0_210])]),c_0_211]) ).
cnf(c_0_238,plain,
v1_funct_1(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_192])]),c_0_193]) ).
cnf(c_0_239,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_144 ).
cnf(c_0_240,negated_conjecture,
m2_relset_1(k2_funct_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_226,c_0_208]),c_0_192]),c_0_203]),c_0_204]),c_0_205])]),c_0_193]) ).
cnf(c_0_241,negated_conjecture,
v1_group_6(k2_funct_1(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_227,c_0_208]),c_0_192]),c_0_203]),c_0_204]),c_0_205])]),c_0_193]) ).
cnf(c_0_242,negated_conjecture,
v1_funct_2(k2_funct_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_228,c_0_208]),c_0_192]),c_0_203]),c_0_204]),c_0_205])]),c_0_193]) ).
cnf(c_0_243,negated_conjecture,
v1_funct_1(k2_funct_1(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_229,c_0_208]),c_0_192]),c_0_203]),c_0_204]),c_0_205])]),c_0_193]) ).
cnf(c_0_244,negated_conjecture,
~ r2_hidden(k2_funct_1(esk2_0),k1_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_245,plain,
( v4_group_6(k2_funct_1(X1),X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v4_group_6(X1,X3,X2)
| ~ v1_group_6(k2_funct_1(X1),X2,X3)
| ~ v1_group_6(X1,X3,X2)
| ~ m2_relset_1(k2_funct_1(X1),u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(k2_funct_1(X1),u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_1(k2_funct_1(X1))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X3)
| ~ v4_group_1(X2)
| ~ v4_group_1(X3)
| ~ v3_group_1(X2)
| ~ v3_group_1(X3) ),
inference(er,[status(thm)],[c_0_232]) ).
cnf(c_0_246,negated_conjecture,
v4_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]),c_0_236]),c_0_237]),c_0_238]),c_0_192]),c_0_203]),c_0_204]),c_0_205])]),c_0_193]) ).
cnf(c_0_247,negated_conjecture,
~ v4_group_6(k2_funct_1(esk2_0),esk1_0,esk1_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(spm,[status(thm)],[c_0_239,c_0_240]),c_0_241]),c_0_242]),c_0_243]),c_0_192]),c_0_203]),c_0_204]),c_0_205])]),c_0_244]),c_0_193]) ).
cnf(c_0_248,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_240]),c_0_246]),c_0_241]),c_0_235]),c_0_234]),c_0_242]),c_0_237]),c_0_243]),c_0_238]),c_0_192]),c_0_203]),c_0_204])]),c_0_247]),c_0_193]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP620+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 15:58:52 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 8.43/2.49 # ENIGMATIC: Solved by autoschedule:
% 8.43/2.49 # No SInE strategy applied
% 8.43/2.49 # Trying AutoSched0 for 150 seconds
% 8.43/2.49 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.43/2.49 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.43/2.49 #
% 8.43/2.49 # Preprocessing time : 0.030 s
% 8.43/2.49 # Presaturation interreduction done
% 8.43/2.49
% 8.43/2.49 # Proof found!
% 8.43/2.49 # SZS status Theorem
% 8.43/2.49 # SZS output start CNFRefutation
% See solution above
% 8.43/2.49 # Training examples: 0 positive, 0 negative
% 8.43/2.49
% 8.43/2.49 # -------------------------------------------------
% 8.43/2.49 # User time : 0.101 s
% 8.43/2.49 # System time : 0.009 s
% 8.43/2.49 # Total time : 0.110 s
% 8.43/2.49 # Maximum resident set size: 7120 pages
% 8.43/2.49
%------------------------------------------------------------------------------