TSTP Solution File: GRP631+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP631+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 08:39:39 EDT 2022
% Result : Theorem 7.90s 2.40s
% Output : CNFRefutation 7.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of clauses : 89 ( 23 unt; 18 nHn; 81 RR)
% Number of literals : 285 ( 31 equ; 191 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-6 aty)
% Number of variables : 146 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_83,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_83) ).
cnf(i_0_58,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_58) ).
cnf(i_0_1,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k2_group_1(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_1) ).
cnf(i_0_158,plain,
( k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1))
| v3_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-gk5zhl5v/lgb.p',i_0_158) ).
cnf(i_0_3,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
v1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_7) ).
cnf(i_0_148,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-gk5zhl5v/lgb.p',i_0_148) ).
cnf(i_0_91,plain,
v1_funct_1(k6_partfun1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_91) ).
cnf(i_0_153,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_153) ).
cnf(i_0_51,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_51) ).
cnf(i_0_13,plain,
( v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,X2,X3)
| ~ v1_partfun1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_13) ).
cnf(i_0_52,plain,
v1_partfun1(k6_partfun1(X1),X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_52) ).
cnf(i_0_156,plain,
( k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3
| ~ m2_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_156) ).
cnf(i_0_149,plain,
( k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6)
| ~ m1_relset_1(X6,X3,X4)
| ~ m1_relset_1(X5,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_149) ).
cnf(i_0_68,plain,
( m2_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_68) ).
cnf(i_0_152,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_152) ).
cnf(i_0_157,plain,
( k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3
| ~ m2_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_157) ).
cnf(i_0_82,plain,
( v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v3_struct_0(g1_group_1(X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_82) ).
cnf(i_0_69,plain,
( v1_funct_2(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_69) ).
cnf(i_0_70,plain,
( v1_funct_1(u1_group_1(X1))
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_70) ).
cnf(i_0_8,plain,
( g1_group_1(u1_struct_0(X1),u1_group_1(X1)) = X1
| ~ v1_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_8) ).
cnf(i_0_65,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-gk5zhl5v/lgb.p',i_0_65) ).
cnf(i_0_50,plain,
( v3_struct_0(X1)
| m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_50) ).
cnf(i_0_48,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_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-gk5zhl5v/lgb.p',i_0_48) ).
cnf(i_0_64,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-gk5zhl5v/lgb.p',i_0_64) ).
cnf(i_0_2,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gk5zhl5v/lgb.p',i_0_2) ).
cnf(i_0_66,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-gk5zhl5v/lgb.p',i_0_66) ).
cnf(c_0_189,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_83 ).
cnf(c_0_190,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_58 ).
cnf(c_0_191,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k2_group_1(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0) ),
i_0_1 ).
cnf(c_0_192,plain,
( k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_158 ).
cnf(c_0_193,negated_conjecture,
l1_group_1(esk1_0),
i_0_3 ).
cnf(c_0_194,negated_conjecture,
v4_group_1(esk1_0),
i_0_4 ).
cnf(c_0_195,negated_conjecture,
v3_group_1(esk1_0),
i_0_5 ).
cnf(c_0_196,negated_conjecture,
v1_group_1(esk1_0),
i_0_6 ).
cnf(c_0_197,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_7 ).
cnf(c_0_198,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_199,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_partfun1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_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(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]),c_0_194]),c_0_195]),c_0_196])]),c_0_197]) ).
cnf(c_0_200,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_148 ).
cnf(c_0_201,plain,
v1_funct_1(k6_partfun1(X1)),
i_0_91 ).
cnf(c_0_202,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_193])]) ).
cnf(c_0_203,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_153 ).
cnf(c_0_204,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
i_0_51 ).
cnf(c_0_205,plain,
( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k5_relat_1(k6_partfun1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0)
| ~ v1_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ v1_funct_2(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k6_partfun1(u1_struct_0(esk1_0)),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_relset_1(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_relset_1(k6_partfun1(u1_struct_0(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(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201])]),c_0_202]) ).
cnf(c_0_206,plain,
m1_relset_1(k6_partfun1(X1),X1,X1),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_207,plain,
( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k5_relat_1(k6_partfun1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0)
| ~ v1_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ v1_funct_2(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k6_partfun1(u1_struct_0(esk1_0)),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_relset_1(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_206])]) ).
cnf(c_0_208,plain,
( v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,X2,X3)
| ~ v1_partfun1(X1,X2,X3) ),
i_0_13 ).
cnf(c_0_209,plain,
v1_partfun1(k6_partfun1(X1),X1,X1),
i_0_52 ).
cnf(c_0_210,plain,
( k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3
| ~ m2_relset_1(X3,X1,X2) ),
i_0_156 ).
cnf(c_0_211,plain,
( k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6)
| ~ m1_relset_1(X6,X3,X4)
| ~ m1_relset_1(X5,X1,X2) ),
i_0_149 ).
cnf(c_0_212,plain,
( m2_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
i_0_68 ).
cnf(c_0_213,plain,
( k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k5_relat_1(k6_partfun1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0)
| ~ v1_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ v1_funct_2(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k6_partfun1(u1_struct_0(esk1_0)),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_relset_1(k6_autgroup(esk1_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(spm,[status(thm)],[c_0_207,c_0_200]),c_0_201]),c_0_206])]),c_0_202]) ).
cnf(c_0_214,plain,
v1_funct_2(k6_partfun1(X1),X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_201])]),c_0_206])]) ).
cnf(c_0_215,plain,
( k5_relat_1(X1,k6_partfun1(X2)) = X1
| ~ m2_relset_1(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_206])]),c_0_203]) ).
cnf(c_0_216,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
i_0_152 ).
cnf(c_0_217,plain,
( k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3
| ~ m2_relset_1(X3,X1,X2) ),
i_0_157 ).
cnf(c_0_218,plain,
( v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v3_struct_0(g1_group_1(X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1) ),
i_0_82 ).
cnf(c_0_219,plain,
( v1_funct_2(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
i_0_69 ).
cnf(c_0_220,plain,
( m1_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_203,c_0_212]) ).
cnf(c_0_221,plain,
( v1_funct_1(u1_group_1(X1))
| ~ l1_group_1(X1) ),
i_0_70 ).
cnf(c_0_222,plain,
( k5_relat_1(k6_autgroup(esk1_0,esk2_0),k6_partfun1(u1_struct_0(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k5_relat_1(k6_partfun1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0)
| ~ v1_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ v1_funct_2(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_relset_1(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_214])]) ).
cnf(c_0_223,plain,
( k5_relat_1(X1,k6_partfun1(X2)) = X1
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_224,plain,
( k5_relat_1(k6_partfun1(X1),X2) = X2
| ~ m2_relset_1(X2,X1,X3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_211]),c_0_206])]),c_0_203]) ).
cnf(c_0_225,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_struct_0(g1_group_1(u1_struct_0(X1),u1_group_1(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]),c_0_221]) ).
cnf(c_0_226,plain,
( g1_group_1(u1_struct_0(X1),u1_group_1(X1)) = X1
| ~ v1_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_8 ).
cnf(c_0_227,plain,
( v1_xboole_0(X1)
| k7_funct_2(X2,X1,X3,k6_partfun1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0)
| ~ v1_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ v1_funct_2(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k6_autgroup(esk1_0,esk2_0),X1,X3)
| ~ v1_funct_2(k6_partfun1(u1_struct_0(esk1_0)),X2,X1)
| ~ m1_relset_1(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_relset_1(k6_autgroup(esk1_0,esk2_0),X1,X3)
| ~ m1_relset_1(k6_partfun1(u1_struct_0(esk1_0)),X2,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_200]),c_0_201])]),c_0_223]) ).
cnf(c_0_228,plain,
( k5_relat_1(k6_partfun1(X1),X2) = X2
| ~ m1_relset_1(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_224,c_0_216]) ).
cnf(c_0_229,plain,
( v1_xboole_0(X1)
| v1_funct_2(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
i_0_65 ).
cnf(c_0_230,plain,
( v3_struct_0(X1)
| m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_50 ).
cnf(c_0_231,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_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_48 ).
cnf(c_0_232,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_233,plain,
( v1_xboole_0(X1)
| m2_relset_1(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
i_0_64 ).
cnf(c_0_234,plain,
( v1_xboole_0(X1)
| ~ v1_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ v1_funct_2(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k6_autgroup(esk1_0,esk2_0),X1,X2)
| ~ v1_funct_2(k6_partfun1(u1_struct_0(esk1_0)),X3,X1)
| ~ m1_relset_1(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_relset_1(k6_autgroup(esk1_0,esk2_0),X1,X2)
| ~ m1_relset_1(k6_partfun1(u1_struct_0(esk1_0)),X3,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_200]),c_0_201])]),c_0_228]) ).
cnf(c_0_235,plain,
( v1_funct_2(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]),c_0_232]) ).
cnf(c_0_236,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
i_0_2 ).
cnf(c_0_237,plain,
( v1_xboole_0(u1_struct_0(X1))
| m2_relset_1(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_230]),c_0_231]),c_0_232]) ).
cnf(c_0_238,plain,
( v1_xboole_0(X1)
| ~ v1_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ v1_funct_2(k6_autgroup(esk1_0,esk2_0),X1,X2)
| ~ v1_funct_2(k6_partfun1(u1_struct_0(esk1_0)),X3,X1)
| ~ m1_relset_1(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_relset_1(k6_autgroup(esk1_0,esk2_0),X1,X2)
| ~ m1_relset_1(k6_partfun1(u1_struct_0(esk1_0)),X3,X1) ),
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_234,c_0_235]),c_0_193]),c_0_194]),c_0_195]),c_0_196]),c_0_236])]),c_0_202]) ).
cnf(c_0_239,plain,
( v1_xboole_0(u1_struct_0(X1))
| m1_relset_1(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_203,c_0_237]) ).
cnf(c_0_240,plain,
( v1_xboole_0(X1)
| ~ v1_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ v1_funct_2(k6_autgroup(esk1_0,esk2_0),X1,X2)
| ~ v1_funct_2(k6_partfun1(u1_struct_0(esk1_0)),X3,X1)
| ~ m1_relset_1(k6_autgroup(esk1_0,esk2_0),X1,X2)
| ~ m1_relset_1(k6_partfun1(u1_struct_0(esk1_0)),X3,X1) ),
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_238,c_0_239]),c_0_193]),c_0_194]),c_0_195]),c_0_196]),c_0_236])]),c_0_202]) ).
cnf(c_0_241,plain,
( ~ v1_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ v1_funct_2(k6_partfun1(u1_struct_0(esk1_0)),X1,u1_struct_0(esk1_0))
| ~ m1_relset_1(k6_autgroup(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_relset_1(k6_partfun1(u1_struct_0(esk1_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(spm,[status(thm)],[c_0_240,c_0_235]),c_0_193]),c_0_194]),c_0_195]),c_0_196]),c_0_236])]),c_0_202]) ).
cnf(c_0_242,plain,
( v1_funct_1(X1)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X4,X2)
| ~ m2_fraenkel(X1,X4,X2,X3) ),
i_0_66 ).
cnf(c_0_243,plain,
( ~ v1_funct_1(k6_autgroup(esk1_0,esk2_0))
| ~ m1_relset_1(k6_autgroup(esk1_0,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_241,c_0_214]),c_0_206])]) ).
cnf(c_0_244,plain,
( v1_funct_1(k6_autgroup(X1,X2))
| v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_230]),c_0_231]),c_0_232]) ).
cnf(c_0_245,plain,
~ v1_funct_1(k6_autgroup(esk1_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(spm,[status(thm)],[c_0_243,c_0_239]),c_0_193]),c_0_194]),c_0_195]),c_0_196]),c_0_236])]),c_0_202]) ).
cnf(c_0_246,negated_conjecture,
( v1_funct_1(k6_autgroup(esk1_0,X1))
| ~ m1_subset_1(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(spm,[status(thm)],[c_0_244,c_0_194]),c_0_193]),c_0_195]),c_0_196])]),c_0_202]) ).
cnf(c_0_247,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_236])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP631+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 05:34:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.90/2.40 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.90/2.40 # No SInE strategy applied
% 7.90/2.40 # Trying AutoSched0 for 150 seconds
% 7.90/2.40 # AutoSched0-Mode selected heuristic G_E___300_C18_F1_URBAN_S0Y
% 7.90/2.40 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.90/2.40 #
% 7.90/2.40 # Preprocessing time : 0.040 s
% 7.90/2.40
% 7.90/2.40 # Proof found!
% 7.90/2.40 # SZS status Theorem
% 7.90/2.40 # SZS output start CNFRefutation
% See solution above
% 7.90/2.40 # Training examples: 0 positive, 0 negative
% 7.90/2.40
% 7.90/2.40 # -------------------------------------------------
% 7.90/2.40 # User time : 0.064 s
% 7.90/2.40 # System time : 0.006 s
% 7.90/2.40 # Total time : 0.070 s
% 7.90/2.40 # Maximum resident set size: 7128 pages
% 7.90/2.40
%------------------------------------------------------------------------------