TSTP Solution File: GRP630+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP630+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 08:39:39 EDT 2022
% Result : Theorem 9.13s 2.60s
% Output : CNFRefutation 9.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 41
% Syntax : Number of clauses : 125 ( 20 unt; 73 nHn; 125 RR)
% Number of literals : 661 ( 86 equ; 462 neg)
% Maximal clause size : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 4 con; 0-6 aty)
% Number of variables : 252 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_110,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/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_110) ).
cnf(i_0_190,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_190) ).
cnf(i_0_202,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_202) ).
cnf(i_0_135,plain,
v1_xboole_0(esk16_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_135) ).
cnf(i_0_96,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/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_96) ).
cnf(i_0_98,plain,
( v1_funct_1(u1_group_1(X1))
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_98) ).
cnf(i_0_97,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/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_97) ).
cnf(i_0_197,plain,
( X1 = k1_xboole_0
| X2 = k1_xboole_0
| X3 = k2_funct_1(X4)
| k2_relat_1(X4) != X1
| k1_partfun1(X2,X1,X1,X2,X4,X3) != k6_partfun1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ v2_funct_1(X4)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X4,X2,X1)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X4,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_197) ).
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/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_8) ).
cnf(i_0_184,plain,
( k1_partfun1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6)
| ~ v1_funct_1(X6)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X6,X3,X4)
| ~ m1_relset_1(X5,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_184) ).
cnf(i_0_189,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_189) ).
cnf(i_0_58,plain,
( v3_struct_0(X1)
| v2_funct_1(X2)
| X3 != k1_autgroup(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X2,X3)
| ~ v1_group_6(X2,X1,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_58) ).
cnf(i_0_65,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/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_65) ).
cnf(i_0_89,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_89) ).
cnf(i_0_60,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/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_60) ).
cnf(i_0_187,plain,
( v1_xboole_0(X1)
| m2_fraenkel(X2,X3,X1,X4)
| ~ m1_subset_1(X2,X4)
| ~ m1_fraenkel(X4,X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_187) ).
cnf(i_0_94,plain,
( v1_funct_1(X1)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X4,X2)
| ~ m2_fraenkel(X1,X4,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_94) ).
cnf(i_0_93,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/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_93) ).
cnf(i_0_92,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/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_92) ).
cnf(i_0_196,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_196) ).
cnf(i_0_192,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(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),k4_autgroup(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_192) ).
cnf(i_0_79,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/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_79) ).
cnf(i_0_77,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/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_77) ).
cnf(i_0_204,plain,
( X1 = X2
| ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_204) ).
cnf(i_0_188,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X3)
| ~ m1_fraenkel(X3,X4,X1)
| ~ m2_fraenkel(X2,X4,X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_188) ).
cnf(i_0_195,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k3_group_1(X1,X2))) = k6_autgroup(X1,k2_group_1(X1))
| v3_struct_0(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/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_195) ).
cnf(i_0_186,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/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_186) ).
cnf(i_0_59,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/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_59) ).
cnf(i_0_76,plain,
( v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_76) ).
cnf(i_0_194,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/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_194) ).
cnf(i_0_124,plain,
( k1_relat_1(X1) = k2_relat_1(X1)
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_124) ).
cnf(i_0_123,plain,
( k1_relat_1(X1) = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_123) ).
cnf(i_0_111,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_111) ).
cnf(i_0_86,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_86) ).
cnf(i_0_7,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_7) ).
cnf(i_0_3,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_3) ).
cnf(i_0_1,negated_conjecture,
k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)) != k2_funct_1(k6_autgroup(esk1_0,esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_1) ).
cnf(i_0_4,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
v1_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_6) ).
cnf(i_0_2,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-czzmxsq7/lgb.p',i_0_2) ).
cnf(c_0_246,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_110 ).
cnf(c_0_247,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_190 ).
cnf(c_0_248,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
i_0_202 ).
cnf(c_0_249,plain,
v1_xboole_0(esk16_0),
i_0_135 ).
cnf(c_0_250,plain,
( v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_struct_0(g1_group_1(X1,X2)) ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_251,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_96 ).
cnf(c_0_252,plain,
( v1_funct_1(u1_group_1(X1))
| ~ l1_group_1(X1) ),
i_0_98 ).
cnf(c_0_253,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_97 ).
cnf(c_0_254,plain,
( X1 = k1_xboole_0
| X2 = k1_xboole_0
| X3 = k2_funct_1(X4)
| k2_relat_1(X4) != X1
| k1_partfun1(X2,X1,X1,X2,X4,X3) != k6_partfun1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ v2_funct_1(X4)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X4,X2,X1)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X4,X2,X1) ),
i_0_197 ).
cnf(c_0_255,plain,
k1_xboole_0 = esk16_0,
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_256,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_250,c_0_251]),c_0_252]),c_0_253]) ).
cnf(c_0_257,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_258,plain,
( X1 = k2_funct_1(X2)
| X3 = esk16_0
| X4 = esk16_0
| k1_partfun1(X3,X4,X4,X3,X2,X1) != k6_partfun1(X3)
| k2_relat_1(X2) != X4
| ~ v2_funct_1(X2)
| ~ m2_relset_1(X2,X3,X4)
| ~ m2_relset_1(X1,X4,X3)
| ~ v1_funct_2(X2,X3,X4)
| ~ v1_funct_2(X1,X4,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_255]),c_0_255]) ).
cnf(c_0_259,plain,
( k1_partfun1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6)
| ~ v1_funct_1(X6)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X6,X3,X4)
| ~ m1_relset_1(X5,X1,X2) ),
i_0_184 ).
cnf(c_0_260,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
i_0_189 ).
cnf(c_0_261,plain,
( v3_struct_0(X1)
| v2_funct_1(X2)
| X3 != k1_autgroup(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X2,X3)
| ~ v1_group_6(X2,X1,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_58 ).
cnf(c_0_262,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_65 ).
cnf(c_0_263,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
i_0_89 ).
cnf(c_0_264,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_60 ).
cnf(c_0_265,plain,
( v1_xboole_0(X1)
| m2_fraenkel(X2,X3,X1,X4)
| ~ m1_subset_1(X2,X4)
| ~ m1_fraenkel(X4,X3,X1) ),
i_0_187 ).
cnf(c_0_266,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_256,c_0_257]) ).
cnf(c_0_267,plain,
( v1_funct_1(X1)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X4,X2)
| ~ m2_fraenkel(X1,X4,X2,X3) ),
i_0_94 ).
cnf(c_0_268,plain,
( v1_xboole_0(X1)
| v1_funct_2(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
i_0_93 ).
cnf(c_0_269,plain,
( v1_xboole_0(X1)
| m2_relset_1(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
i_0_92 ).
cnf(c_0_270,plain,
( X1 = k2_funct_1(X2)
| X3 = esk16_0
| X4 = esk16_0
| k5_relat_1(X2,X1) != k6_partfun1(X4)
| k2_relat_1(X2) != X3
| ~ m1_relset_1(X1,X3,X4)
| ~ m1_relset_1(X2,X4,X3)
| ~ v2_funct_1(X2)
| ~ v1_funct_2(X2,X4,X3)
| ~ v1_funct_2(X1,X3,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260]),c_0_260]) ).
cnf(c_0_271,plain,
( v2_funct_1(X1)
| v3_struct_0(X2)
| ~ r2_hidden(X1,k1_autgroup(X2))
| ~ v1_group_6(X1,X2,X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_272,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_196 ).
cnf(c_0_273,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_263,c_0_262]) ).
cnf(c_0_274,plain,
( v1_xboole_0(u1_struct_0(X1))
| v1_group_6(X2,X1,X1)
| X3 != k1_autgroup(X1)
| ~ m1_fraenkel(X3,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,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266]) ).
cnf(c_0_275,plain,
( v1_xboole_0(X1)
| v1_funct_1(X2)
| ~ m1_fraenkel(X3,X4,X1)
| ~ m1_subset_1(X2,X3) ),
inference(spm,[status(thm)],[c_0_267,c_0_265]) ).
cnf(c_0_276,plain,
( v1_xboole_0(X1)
| v1_funct_2(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m1_subset_1(X2,X4) ),
inference(spm,[status(thm)],[c_0_268,c_0_265]) ).
cnf(c_0_277,plain,
( v1_xboole_0(X1)
| m2_relset_1(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m1_subset_1(X2,X4) ),
inference(spm,[status(thm)],[c_0_269,c_0_265]) ).
cnf(c_0_278,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(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),k4_autgroup(X1)) ),
i_0_192 ).
cnf(c_0_279,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_79 ).
cnf(c_0_280,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_77 ).
cnf(c_0_281,plain,
( X1 = k2_funct_1(X2)
| X3 = esk16_0
| X4 = esk16_0
| k5_relat_1(X2,X1) != k6_partfun1(X3)
| k2_relat_1(X2) != X4
| ~ m1_relset_1(X2,X3,X4)
| ~ v2_funct_1(X2)
| ~ m2_relset_1(X1,X4,X3)
| ~ v1_funct_2(X2,X3,X4)
| ~ v1_funct_2(X1,X4,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_270,c_0_247]) ).
cnf(c_0_282,plain,
( X1 = X2
| ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1) ),
i_0_204 ).
cnf(c_0_283,plain,
( v2_funct_1(X1)
| v3_struct_0(X2)
| ~ v1_group_6(X1,X2,X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v1_funct_1(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m1_subset_1(X1,k1_autgroup(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_273]) ).
cnf(c_0_284,plain,
( v1_xboole_0(u1_struct_0(X1))
| v1_group_6(X2,X1,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X2,k1_autgroup(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_262]),c_0_266]) ).
cnf(c_0_285,plain,
( v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X2,k1_autgroup(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_262]),c_0_266]) ).
cnf(c_0_286,plain,
( v1_xboole_0(u1_struct_0(X1))
| v1_funct_2(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,k1_autgroup(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_262]),c_0_266]) ).
cnf(c_0_287,plain,
( v1_xboole_0(u1_struct_0(X1))
| m2_relset_1(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,k1_autgroup(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_262]),c_0_266]) ).
cnf(c_0_288,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X3)
| ~ m1_fraenkel(X3,X4,X1)
| ~ m2_fraenkel(X2,X4,X1,X3) ),
i_0_188 ).
cnf(c_0_289,plain,
( m2_fraenkel(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| v3_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_278,c_0_279]) ).
cnf(c_0_290,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k3_group_1(X1,X2))) = k6_autgroup(X1,k2_group_1(X1))
| v3_struct_0(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_195 ).
cnf(c_0_291,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_186 ).
cnf(c_0_292,plain,
( v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(k6_autgroup(X1,X2))
| ~ 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_267,c_0_279]),c_0_280]),c_0_266]) ).
cnf(c_0_293,plain,
( v1_xboole_0(u1_struct_0(X1))
| v1_funct_2(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_268,c_0_279]),c_0_280]),c_0_266]) ).
cnf(c_0_294,plain,
( X1 = k2_funct_1(X2)
| X3 = esk16_0
| X4 = esk16_0
| k5_relat_1(X2,X1) != k6_partfun1(X4)
| k2_relat_1(X2) != X3
| ~ v2_funct_1(X2)
| ~ m2_relset_1(X1,X3,X4)
| ~ m2_relset_1(X2,X4,X3)
| ~ v1_funct_2(X2,X4,X3)
| ~ v1_funct_2(X1,X3,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_281,c_0_247]) ).
cnf(c_0_295,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_269,c_0_279]),c_0_280]),c_0_266]) ).
cnf(c_0_296,plain,
( X1 = esk16_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_282,c_0_249]) ).
cnf(c_0_297,plain,
( v2_funct_1(X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ m1_subset_1(X1,k1_autgroup(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_285]),c_0_286]),c_0_287]),c_0_266]) ).
cnf(c_0_298,plain,
( v1_xboole_0(u1_struct_0(X1))
| m1_subset_1(k6_autgroup(X1,X2),k1_autgroup(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_288,c_0_289]),c_0_262]),c_0_266]) ).
cnf(c_0_299,plain,
( k5_relat_1(k6_autgroup(X1,X2),k6_autgroup(X1,k3_group_1(X1,X2))) = k6_autgroup(X1,k2_group_1(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_relset_1(k6_autgroup(X1,k3_group_1(X1,X2)),u1_struct_0(X1),u1_struct_0(X1))
| ~ m1_relset_1(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(k6_autgroup(X1,k3_group_1(X1,X2)),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(k6_autgroup(X1,k3_group_1(X1,X2)))
| ~ 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_292]),c_0_293]),c_0_266]) ).
cnf(c_0_300,plain,
( k6_autgroup(X1,X2) = k2_funct_1(X3)
| u1_struct_0(X1) = esk16_0
| k5_relat_1(X3,k6_autgroup(X1,X2)) != k6_partfun1(u1_struct_0(X1))
| k2_relat_1(X3) != u1_struct_0(X1)
| ~ v2_funct_1(X3)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_292]),c_0_293]),c_0_296]) ).
cnf(c_0_301,plain,
( v2_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(spm,[status(thm)],[c_0_297,c_0_298]) ).
cnf(c_0_302,plain,
( k5_relat_1(k6_autgroup(X1,X2),k6_autgroup(X1,k3_group_1(X1,X2))) = k6_autgroup(X1,k2_group_1(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_relset_1(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(k6_autgroup(X1,k3_group_1(X1,X2)),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(k6_autgroup(X1,k3_group_1(X1,X2)),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_1(k6_autgroup(X1,k3_group_1(X1,X2)))
| ~ 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_299,c_0_247]) ).
cnf(c_0_303,plain,
( k6_autgroup(X1,X2) = k2_funct_1(k6_autgroup(X1,X3))
| u1_struct_0(X1) = esk16_0
| k5_relat_1(k6_autgroup(X1,X3),k6_autgroup(X1,X2)) != k6_partfun1(u1_struct_0(X1))
| k2_relat_1(k6_autgroup(X1,X3)) != 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))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_295]),c_0_292]),c_0_293]),c_0_301]),c_0_296]) ).
cnf(c_0_304,plain,
( k5_relat_1(k6_autgroup(X1,X2),k6_autgroup(X1,k3_group_1(X1,X2))) = k6_autgroup(X1,k2_group_1(X1))
| 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(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_295]),c_0_292]),c_0_293]) ).
cnf(c_0_305,plain,
( k6_autgroup(X1,k3_group_1(X1,X2)) = k2_funct_1(k6_autgroup(X1,X2))
| u1_struct_0(X1) = esk16_0
| k6_autgroup(X1,k2_group_1(X1)) != k6_partfun1(u1_struct_0(X1))
| k2_relat_1(k6_autgroup(X1,X2)) != 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(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_296]) ).
cnf(c_0_306,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_59 ).
cnf(c_0_307,plain,
( k6_autgroup(X1,k3_group_1(X1,X2)) = k2_funct_1(k6_autgroup(X1,X2))
| u1_struct_0(X1) = esk16_0
| k6_autgroup(X1,k2_group_1(X1)) != k6_partfun1(u1_struct_0(X1))
| k2_relat_1(k6_autgroup(X1,X2)) != 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(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_305,c_0_247]) ).
cnf(c_0_308,plain,
( m2_relset_1(k6_autgroup(X1,X2),u1_struct_0(X1),u1_struct_0(X1))
| v3_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(spm,[status(thm)],[c_0_306,c_0_289]),c_0_262]) ).
cnf(c_0_309,plain,
( v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_76 ).
cnf(c_0_310,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_194 ).
cnf(c_0_311,plain,
( k1_relat_1(X1) = k2_relat_1(X1)
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
i_0_124 ).
cnf(c_0_312,plain,
( k1_relat_1(X1) = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
i_0_123 ).
cnf(c_0_313,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_111 ).
cnf(c_0_314,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_86 ).
cnf(c_0_315,plain,
( k6_autgroup(X1,k3_group_1(X1,X2)) = k2_funct_1(k6_autgroup(X1,X2))
| u1_struct_0(X1) = esk16_0
| v3_struct_0(X1)
| k2_relat_1(k6_autgroup(X1,X2)) != 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_307,c_0_308]),c_0_309]),c_0_310]) ).
cnf(c_0_316,plain,
( k2_relat_1(k6_autgroup(X1,X2)) = k1_relat_1(k6_autgroup(X1,X2))
| v3_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_311,c_0_289]) ).
cnf(c_0_317,plain,
( k1_relat_1(k6_autgroup(X1,X2)) = u1_struct_0(X1)
| v3_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_312,c_0_289]) ).
cnf(c_0_318,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_7 ).
cnf(c_0_319,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_313,c_0_314]) ).
cnf(c_0_320,negated_conjecture,
l1_group_1(esk1_0),
i_0_3 ).
cnf(c_0_321,negated_conjecture,
k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)) != k2_funct_1(k6_autgroup(esk1_0,esk2_0)),
i_0_1 ).
cnf(c_0_322,plain,
( k6_autgroup(X1,k3_group_1(X1,X2)) = k2_funct_1(k6_autgroup(X1,X2))
| u1_struct_0(X1) = esk16_0
| v3_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(spm,[status(thm)],[c_0_315,c_0_316]),c_0_317]) ).
cnf(c_0_323,negated_conjecture,
v4_group_1(esk1_0),
i_0_4 ).
cnf(c_0_324,negated_conjecture,
v3_group_1(esk1_0),
i_0_5 ).
cnf(c_0_325,negated_conjecture,
v1_group_1(esk1_0),
i_0_6 ).
cnf(c_0_326,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
i_0_2 ).
cnf(c_0_327,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_320])]) ).
cnf(c_0_328,negated_conjecture,
u1_struct_0(esk1_0) = esk16_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_321,c_0_322]),c_0_320]),c_0_323]),c_0_324]),c_0_325]),c_0_326])]),c_0_318]) ).
cnf(c_0_329,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_327,c_0_328]),c_0_249])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP630+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 : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 07:54:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 9.13/2.60 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.13/2.60 # No SInE strategy applied
% 9.13/2.60 # Trying AutoSched0 for 150 seconds
% 9.13/2.60 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 9.13/2.60 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.13/2.60 #
% 9.13/2.60 # Preprocessing time : 0.027 s
% 9.13/2.60
% 9.13/2.60 # Proof found!
% 9.13/2.60 # SZS status Theorem
% 9.13/2.60 # SZS output start CNFRefutation
% See solution above
% 9.13/2.60 # Training examples: 0 positive, 0 negative
% 9.13/2.60
% 9.13/2.60 # -------------------------------------------------
% 9.13/2.60 # User time : 0.204 s
% 9.13/2.60 # System time : 0.006 s
% 9.13/2.60 # Total time : 0.210 s
% 9.13/2.60 # Maximum resident set size: 7120 pages
% 9.13/2.60
%------------------------------------------------------------------------------