TSTP Solution File: GRP620+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP620+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 28.94s 7.95s
% Output : CNFRefutation 28.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 37
% Syntax : Number of clauses : 108 ( 46 unt; 42 nHn; 96 RR)
% Number of literals : 448 ( 28 equ; 301 neg)
% Maximal clause size : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 143 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_6246,plain,
( v3_struct_0(X1)
| k7_group_2(X1,X2) != k1_xboole_0
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_6246) ).
cnf(i_0_6278,plain,
( X1 = X2
| ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_6278) ).
cnf(i_0_991,plain,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_991) ).
cnf(i_0_3949,plain,
( k4_relat_1(X1) = X1
| ~ v1_relat_1(X1)
| ~ v3_relat_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_3949) ).
cnf(i_0_5758,plain,
v3_relat_2(k6_relat_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_5758) ).
cnf(i_0_807,plain,
v1_relat_1(k6_relat_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_807) ).
cnf(i_0_5604,plain,
( v3_struct_0(X1)
| m1_group_2(X1,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_5604) ).
cnf(i_0_652,plain,
( k7_group_2(X1,X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_652) ).
cnf(i_0_647,plain,
( k2_funct_1(X1) = k4_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_647) ).
cnf(i_0_5159,plain,
v2_funct_1(k6_relat_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_5159) ).
cnf(i_0_1010,plain,
v1_funct_1(k6_relat_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_1010) ).
cnf(i_0_5629,plain,
( X1 = k1_xboole_0
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X2,k1_xboole_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_5629) ).
cnf(i_0_805,plain,
m2_relset_1(k6_relat_1(X1),X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_805) ).
cnf(i_0_1557,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-9q_3hxrs/lgb.p',i_0_1557) ).
cnf(i_0_715,plain,
( v3_struct_0(X1)
| m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_715) ).
cnf(i_0_259,plain,
( v3_struct_0(X1)
| v1_group_6(X2,X1,X1)
| X3 != k1_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_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-9q_3hxrs/lgb.p',i_0_259) ).
cnf(i_0_261,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| X3 != k1_autgroup(X2)
| ~ l1_group_1(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ m1_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2))
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_261) ).
cnf(i_0_258,plain,
( v3_struct_0(X1)
| m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| X3 != k1_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_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-9q_3hxrs/lgb.p',i_0_258) ).
cnf(i_0_260,plain,
( v3_struct_0(X1)
| v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| X3 != k1_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_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-9q_3hxrs/lgb.p',i_0_260) ).
cnf(i_0_6068,negated_conjecture,
m2_fraenkel(esk769_0,u1_struct_0(esk768_0),u1_struct_0(esk768_0),k1_autgroup(esk768_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_6068) ).
cnf(i_0_6070,negated_conjecture,
v4_group_1(esk768_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_6070) ).
cnf(i_0_6071,negated_conjecture,
v3_group_1(esk768_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_6071) ).
cnf(i_0_6072,negated_conjecture,
v1_group_1(esk768_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_6072) ).
cnf(i_0_6069,negated_conjecture,
l1_group_1(esk768_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_6069) ).
cnf(i_0_6073,negated_conjecture,
~ v3_struct_0(esk768_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_6073) ).
cnf(i_0_6067,negated_conjecture,
~ m2_fraenkel(k2_funct_1(esk769_0),u1_struct_0(esk768_0),u1_struct_0(esk768_0),k1_autgroup(esk768_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_6067) ).
cnf(i_0_388,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_388) ).
cnf(i_0_5373,plain,
( v3_struct_0(X1)
| v4_group_6(X2,X1,X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ 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-9q_3hxrs/lgb.p',i_0_5373) ).
cnf(i_0_390,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_390) ).
cnf(i_0_5946,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v4_group_6(X3,X2,X1)
| X3 != k2_funct_1(X4)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ 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-9q_3hxrs/lgb.p',i_0_5946) ).
cnf(i_0_5749,plain,
( v3_struct_0(X1)
| v1_group_6(k2_funct_1(X2),X1,X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_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-9q_3hxrs/lgb.p',i_0_5749) ).
cnf(i_0_5751,plain,
( v3_struct_0(X1)
| v1_funct_1(k2_funct_1(X2))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_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-9q_3hxrs/lgb.p',i_0_5751) ).
cnf(i_0_5748,plain,
( v3_struct_0(X1)
| m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_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-9q_3hxrs/lgb.p',i_0_5748) ).
cnf(i_0_5750,plain,
( v3_struct_0(X1)
| v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_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-9q_3hxrs/lgb.p',i_0_5750) ).
cnf(i_0_5372,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ 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-9q_3hxrs/lgb.p',i_0_5372) ).
cnf(i_0_1556,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-9q_3hxrs/lgb.p',i_0_1556) ).
cnf(i_0_2900,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q_3hxrs/lgb.p',i_0_2900) ).
cnf(c_0_6316,plain,
( v3_struct_0(X1)
| k7_group_2(X1,X2) != k1_xboole_0
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_6246 ).
cnf(c_0_6317,plain,
( X1 = X2
| ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1) ),
i_0_6278 ).
cnf(c_0_6318,plain,
v1_xboole_0(k1_xboole_0),
i_0_991 ).
cnf(c_0_6319,plain,
( k4_relat_1(X1) = X1
| ~ v1_relat_1(X1)
| ~ v3_relat_2(X1) ),
i_0_3949 ).
cnf(c_0_6320,plain,
v3_relat_2(k6_relat_1(X1)),
i_0_5758 ).
cnf(c_0_6321,plain,
v1_relat_1(k6_relat_1(X1)),
i_0_807 ).
cnf(c_0_6322,plain,
( v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_xboole_0(k7_group_2(X1,X2))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_6316,c_0_6317])]),c_0_6318])]) ).
cnf(c_0_6323,plain,
( v3_struct_0(X1)
| m1_group_2(X1,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_5604 ).
cnf(c_0_6324,plain,
( k7_group_2(X1,X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_652 ).
cnf(c_0_6325,plain,
k4_relat_1(k6_relat_1(X1)) = k6_relat_1(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6319,c_0_6320]),c_0_6321])]) ).
cnf(c_0_6326,plain,
( k2_funct_1(X1) = k4_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1) ),
i_0_647 ).
cnf(c_0_6327,plain,
v2_funct_1(k6_relat_1(X1)),
i_0_5159 ).
cnf(c_0_6328,plain,
v1_funct_1(k6_relat_1(X1)),
i_0_1010 ).
cnf(c_0_6329,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(k7_group_2(X1,X1))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_6322,c_0_6323]) ).
cnf(c_0_6330,plain,
( k7_group_2(X1,X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_6324,c_0_6323]) ).
cnf(c_0_6331,plain,
k2_funct_1(k6_relat_1(X1)) = k6_relat_1(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6325,c_0_6326]),c_0_6327]),c_0_6321]),c_0_6328])]) ).
cnf(c_0_6332,plain,
( X1 = k1_xboole_0
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X2,k1_xboole_0) ),
i_0_5629 ).
cnf(c_0_6333,plain,
m2_relset_1(k6_relat_1(X1),X1,X1),
i_0_805 ).
cnf(c_0_6334,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X3)
| ~ m1_fraenkel(X3,X4,X1)
| ~ m2_fraenkel(X2,X4,X1,X3) ),
i_0_1557 ).
cnf(c_0_6335,plain,
( v3_struct_0(X1)
| m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_715 ).
cnf(c_0_6336,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_6329,c_0_6330]) ).
cnf(c_0_6337,plain,
( k2_funct_1(X1) = X1
| ~ v1_xboole_0(k6_relat_1(X2))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_6331,c_0_6317]) ).
cnf(c_0_6338,plain,
k6_relat_1(k1_xboole_0) = k1_xboole_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6332,c_0_6333]),c_0_6328])]) ).
cnf(c_0_6339,plain,
( v3_struct_0(X1)
| v1_group_6(X2,X1,X1)
| X3 != k1_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_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_259 ).
cnf(c_0_6340,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| X3 != k1_autgroup(X2)
| ~ l1_group_1(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ m1_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X2))
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),X3) ),
i_0_261 ).
cnf(c_0_6341,plain,
( v3_struct_0(X1)
| m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| X3 != k1_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_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_258 ).
cnf(c_0_6342,plain,
( v3_struct_0(X1)
| v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| X3 != k1_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_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_260 ).
cnf(c_0_6343,plain,
( m1_subset_1(X1,k1_autgroup(X2))
| v3_struct_0(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ l1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6334,c_0_6335]),c_0_6336]) ).
cnf(c_0_6344,negated_conjecture,
m2_fraenkel(esk769_0,u1_struct_0(esk768_0),u1_struct_0(esk768_0),k1_autgroup(esk768_0)),
i_0_6068 ).
cnf(c_0_6345,negated_conjecture,
v4_group_1(esk768_0),
i_0_6070 ).
cnf(c_0_6346,negated_conjecture,
v3_group_1(esk768_0),
i_0_6071 ).
cnf(c_0_6347,negated_conjecture,
v1_group_1(esk768_0),
i_0_6072 ).
cnf(c_0_6348,negated_conjecture,
l1_group_1(esk768_0),
i_0_6069 ).
cnf(c_0_6349,negated_conjecture,
~ v3_struct_0(esk768_0),
i_0_6073 ).
cnf(c_0_6350,negated_conjecture,
~ m2_fraenkel(k2_funct_1(esk769_0),u1_struct_0(esk768_0),u1_struct_0(esk768_0),k1_autgroup(esk768_0)),
i_0_6067 ).
cnf(c_0_6351,plain,
( k2_funct_1(X1) = X1
| ~ v1_xboole_0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6337,c_0_6338]),c_0_6318])]) ).
cnf(c_0_6352,plain,
( v1_group_6(X1,X2,X2)
| v3_struct_0(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ l1_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_6339]),c_0_6335]) ).
cnf(c_0_6353,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ l1_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_6340]),c_0_6335]) ).
cnf(c_0_6354,plain,
( m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ l1_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_6341]),c_0_6335]) ).
cnf(c_0_6355,plain,
( v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ l1_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_6342]),c_0_6335]) ).
cnf(c_0_6356,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
i_0_388 ).
cnf(c_0_6357,negated_conjecture,
m1_subset_1(esk769_0,k1_autgroup(esk768_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_6343,c_0_6344]),c_0_6345]),c_0_6346]),c_0_6347]),c_0_6348])]),c_0_6349]) ).
cnf(c_0_6358,negated_conjecture,
~ v1_xboole_0(esk769_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6350,c_0_6351]),c_0_6344])]) ).
cnf(c_0_6359,plain,
( v3_struct_0(X1)
| v4_group_6(X2,X1,X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ 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_5373 ).
cnf(c_0_6360,negated_conjecture,
v1_group_6(esk769_0,esk768_0,esk768_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_6352,c_0_6344]),c_0_6345]),c_0_6346]),c_0_6347]),c_0_6348])]),c_0_6349]) ).
cnf(c_0_6361,negated_conjecture,
v1_funct_1(esk769_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_6353,c_0_6344]),c_0_6345]),c_0_6346]),c_0_6347]),c_0_6348])]),c_0_6349]) ).
cnf(c_0_6362,negated_conjecture,
m2_relset_1(esk769_0,u1_struct_0(esk768_0),u1_struct_0(esk768_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_6354,c_0_6344]),c_0_6345]),c_0_6346]),c_0_6347]),c_0_6348])]),c_0_6349]) ).
cnf(c_0_6363,negated_conjecture,
v1_funct_2(esk769_0,u1_struct_0(esk768_0),u1_struct_0(esk768_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_6355,c_0_6344]),c_0_6345]),c_0_6346]),c_0_6347]),c_0_6348])]),c_0_6349]) ).
cnf(c_0_6364,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_390 ).
cnf(c_0_6365,plain,
~ v1_xboole_0(k1_autgroup(esk768_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6356,c_0_6357]),c_0_6358]) ).
cnf(c_0_6366,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v4_group_6(X3,X2,X1)
| X3 != k2_funct_1(X4)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ 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_5946 ).
cnf(c_0_6367,negated_conjecture,
( v4_group_6(esk769_0,esk768_0,esk768_0)
| ~ r2_hidden(esk769_0,k1_autgroup(esk768_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_6359,c_0_6360]),c_0_6361]),c_0_6362]),c_0_6345]),c_0_6346]),c_0_6347]),c_0_6348]),c_0_6363])]),c_0_6349]) ).
cnf(c_0_6368,plain,
r2_hidden(esk769_0,k1_autgroup(esk768_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6364,c_0_6357]),c_0_6365]) ).
cnf(c_0_6369,plain,
( v3_struct_0(X1)
| v1_group_6(k2_funct_1(X2),X1,X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
i_0_5749 ).
cnf(c_0_6370,plain,
( v3_struct_0(X1)
| v1_funct_1(k2_funct_1(X2))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
i_0_5751 ).
cnf(c_0_6371,plain,
( v3_struct_0(X1)
| m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
i_0_5748 ).
cnf(c_0_6372,plain,
( v3_struct_0(X1)
| v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
i_0_5750 ).
cnf(c_0_6373,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)
| ~ v1_funct_1(k2_funct_1(X1))
| ~ v1_funct_1(X1)
| ~ 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))
| ~ v4_group_1(X2)
| ~ v4_group_1(X3)
| ~ v3_group_1(X2)
| ~ v3_group_1(X3)
| ~ l1_group_1(X2)
| ~ l1_group_1(X3)
| ~ 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)) ),
inference(er,[status(thm)],[c_0_6366]) ).
cnf(c_0_6374,negated_conjecture,
v4_group_6(esk769_0,esk768_0,esk768_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6367,c_0_6368])]) ).
cnf(c_0_6375,negated_conjecture,
v1_group_6(k2_funct_1(esk769_0),esk768_0,esk768_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_6369,c_0_6344]),c_0_6345]),c_0_6346]),c_0_6347]),c_0_6348])]),c_0_6349]) ).
cnf(c_0_6376,negated_conjecture,
v1_funct_1(k2_funct_1(esk769_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_6370,c_0_6344]),c_0_6345]),c_0_6346]),c_0_6347]),c_0_6348])]),c_0_6349]) ).
cnf(c_0_6377,negated_conjecture,
m2_relset_1(k2_funct_1(esk769_0),u1_struct_0(esk768_0),u1_struct_0(esk768_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_6371,c_0_6344]),c_0_6345]),c_0_6346]),c_0_6347]),c_0_6348])]),c_0_6349]) ).
cnf(c_0_6378,negated_conjecture,
v1_funct_2(k2_funct_1(esk769_0),u1_struct_0(esk768_0),u1_struct_0(esk768_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_6372,c_0_6344]),c_0_6345]),c_0_6346]),c_0_6347]),c_0_6348])]),c_0_6349]) ).
cnf(c_0_6379,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ 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_5372 ).
cnf(c_0_6380,plain,
v4_group_6(k2_funct_1(esk769_0),esk768_0,esk768_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6373,c_0_6374]),c_0_6375]),c_0_6360]),c_0_6376]),c_0_6361]),c_0_6377]),c_0_6362]),c_0_6345]),c_0_6346]),c_0_6348]),c_0_6378]),c_0_6363])]),c_0_6349]) ).
cnf(c_0_6381,plain,
( v1_xboole_0(X1)
| m2_fraenkel(X2,X3,X1,X4)
| ~ m1_subset_1(X2,X4)
| ~ m1_fraenkel(X4,X3,X1) ),
i_0_1556 ).
cnf(c_0_6382,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_2900 ).
cnf(c_0_6383,plain,
r2_hidden(k2_funct_1(esk769_0),k1_autgroup(esk768_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_6379,c_0_6380]),c_0_6375]),c_0_6376]),c_0_6377]),c_0_6345]),c_0_6346]),c_0_6347]),c_0_6348]),c_0_6378])]),c_0_6349]) ).
cnf(c_0_6384,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ m1_subset_1(X2,k1_autgroup(X1))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6381,c_0_6335]),c_0_6336]) ).
cnf(c_0_6385,plain,
m1_subset_1(k2_funct_1(esk769_0),k1_autgroup(esk768_0)),
inference(spm,[status(thm)],[c_0_6382,c_0_6383]) ).
cnf(c_0_6386,plain,
$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(spm,[status(thm)],[c_0_6384,c_0_6385]),c_0_6345]),c_0_6346]),c_0_6347]),c_0_6348])]),c_0_6349]),c_0_6350]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP620+4 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.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 04:16:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.44 # ENIGMATIC: Selected SinE mode:
% 1.32/1.50 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.32/1.50 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.32/1.50 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.32/1.50 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 28.94/7.95 # ENIGMATIC: Solved by autoschedule-lgb:
% 28.94/7.95 # No SInE strategy applied
% 28.94/7.95 # Trying AutoSched0 for 149 seconds
% 28.94/7.95 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 28.94/7.95 # and selection function SelectCQIPrecWNTNp.
% 28.94/7.95 #
% 28.94/7.95 # Preprocessing time : 0.034 s
% 28.94/7.95 # Presaturation interreduction done
% 28.94/7.95
% 28.94/7.95 # Proof found!
% 28.94/7.95 # SZS status Theorem
% 28.94/7.95 # SZS output start CNFRefutation
% See solution above
% 28.94/7.95 # Training examples: 0 positive, 0 negative
% 28.94/7.95
% 28.94/7.95 # -------------------------------------------------
% 28.94/7.95 # User time : 2.085 s
% 28.94/7.95 # System time : 0.062 s
% 28.94/7.95 # Total time : 2.148 s
% 28.94/7.95 # Maximum resident set size: 7128 pages
% 28.94/7.95
%------------------------------------------------------------------------------