TSTP Solution File: GRP624+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP624+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 08:39:34 EDT 2022
% Result : Theorem 52.28s 9.95s
% Output : CNFRefutation 52.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 35
% Syntax : Number of clauses : 113 ( 41 unt; 45 nHn; 113 RR)
% Number of literals : 421 ( 31 equ; 272 neg)
% Maximal clause size : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-6 aty)
% Number of variables : 153 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_332,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)
| ~ v4_group_1(X1)
| ~ v3_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-v1v41pa0/lgb.p',i_0_332) ).
cnf(i_0_867,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)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_867) ).
cnf(i_0_2183,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_2183) ).
cnf(i_0_2421,negated_conjecture,
m2_fraenkel(esk413_0,u1_struct_0(esk412_0),u1_struct_0(esk412_0),k4_autgroup(esk412_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_2421) ).
cnf(i_0_2424,negated_conjecture,
v3_group_1(esk412_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_2424) ).
cnf(i_0_2423,negated_conjecture,
v4_group_1(esk412_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_2423) ).
cnf(i_0_2425,negated_conjecture,
v1_group_1(esk412_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_2425) ).
cnf(i_0_2422,negated_conjecture,
l1_group_1(esk412_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_2422) ).
cnf(i_0_2426,negated_conjecture,
~ v3_struct_0(esk412_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_2426) ).
cnf(i_0_334,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)
| ~ v4_group_1(X1)
| ~ v3_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-v1v41pa0/lgb.p',i_0_334) ).
cnf(i_0_335,plain,
( v3_struct_0(X1)
| v1_funct_1(X2)
| X3 != k1_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_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-v1v41pa0/lgb.p',i_0_335) ).
cnf(i_0_1392,plain,
( k1_relat_1(X1) = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_1392) ).
cnf(i_0_4309,plain,
( k2_pre_topc(X1) = k1_relat_1(X2)
| v3_struct_0(X3)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X3)
| ~ l1_struct_0(X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X3))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_4309) ).
cnf(i_0_1029,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_1029) ).
cnf(i_0_395,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_395) ).
cnf(i_0_1234,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(k2_pre_topc(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_1234) ).
cnf(i_0_1806,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-v1v41pa0/lgb.p',i_0_1806) ).
cnf(i_0_917,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_917) ).
cnf(i_0_116,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_xboole_0(X3)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_116) ).
cnf(i_0_43,plain,
( v1_funct_1(X1)
| ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_43) ).
cnf(i_0_1808,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_1808) ).
cnf(i_0_2420,negated_conjecture,
m2_fraenkel(esk414_0,u1_struct_0(esk412_0),u1_struct_0(esk412_0),k4_autgroup(esk412_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_2420) ).
cnf(i_0_487,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_487) ).
cnf(i_0_489,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_489) ).
cnf(i_0_878,plain,
( v3_struct_0(X1)
| m2_relset_1(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_878) ).
cnf(i_0_1037,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_1037) ).
cnf(i_0_4269,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_4269) ).
cnf(i_0_3939,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_3939) ).
cnf(i_0_2325,plain,
( v3_struct_0(X1)
| r1_tarski(k4_autgroup(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_2325) ).
cnf(i_0_430,plain,
( k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),X2,X3,X4) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X4,X3)
| v3_struct_0(X1)
| X2 != k2_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X4,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_430) ).
cnf(i_0_880,plain,
( v3_struct_0(X1)
| v1_funct_1(k2_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_880) ).
cnf(i_0_879,plain,
( v3_struct_0(X1)
| v1_funct_2(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_879) ).
cnf(i_0_1798,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-v1v41pa0/lgb.p',i_0_1798) ).
cnf(i_0_1775,plain,
( k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X6,X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_1775) ).
cnf(i_0_2419,negated_conjecture,
k7_funct_2(u1_struct_0(esk412_0),u1_struct_0(esk412_0),u1_struct_0(esk412_0),esk414_0,esk413_0) != k1_binop_1(k2_autgroup(esk412_0),esk413_0,esk414_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v1v41pa0/lgb.p',i_0_2419) ).
cnf(c_0_4345,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)
| ~ v4_group_1(X1)
| ~ v3_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_332 ).
cnf(c_0_4346,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)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_867 ).
cnf(c_0_4347,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
i_0_2183 ).
cnf(c_0_4348,negated_conjecture,
m2_fraenkel(esk413_0,u1_struct_0(esk412_0),u1_struct_0(esk412_0),k4_autgroup(esk412_0)),
i_0_2421 ).
cnf(c_0_4349,negated_conjecture,
v3_group_1(esk412_0),
i_0_2424 ).
cnf(c_0_4350,negated_conjecture,
v4_group_1(esk412_0),
i_0_2423 ).
cnf(c_0_4351,negated_conjecture,
v1_group_1(esk412_0),
i_0_2425 ).
cnf(c_0_4352,negated_conjecture,
l1_group_1(esk412_0),
i_0_2422 ).
cnf(c_0_4353,negated_conjecture,
~ v3_struct_0(esk412_0),
i_0_2426 ).
cnf(c_0_4354,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)
| ~ v4_group_1(X1)
| ~ v3_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_334 ).
cnf(c_0_4355,plain,
( v3_struct_0(X1)
| v1_funct_1(X2)
| X3 != k1_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_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_335 ).
cnf(c_0_4356,plain,
( m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_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_4345]),c_0_4346]) ).
cnf(c_0_4357,negated_conjecture,
m2_fraenkel(esk413_0,u1_struct_0(esk412_0),u1_struct_0(esk412_0),k1_autgroup(esk412_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_4347,c_0_4348]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4353]) ).
cnf(c_0_4358,plain,
( k1_relat_1(X1) = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
i_0_1392 ).
cnf(c_0_4359,plain,
( v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_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_4354]),c_0_4346]) ).
cnf(c_0_4360,plain,
( v1_funct_1(X1)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_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_4355]),c_0_4346]) ).
cnf(c_0_4361,plain,
( k2_pre_topc(X1) = k1_relat_1(X2)
| v3_struct_0(X3)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X3)
| ~ l1_struct_0(X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X3))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X3)) ),
i_0_4309 ).
cnf(c_0_4362,negated_conjecture,
m2_relset_1(esk413_0,u1_struct_0(esk412_0),u1_struct_0(esk412_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_4356,c_0_4357]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4353]) ).
cnf(c_0_4363,plain,
k1_relat_1(esk413_0) = u1_struct_0(esk412_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_4358,c_0_4357]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4353]) ).
cnf(c_0_4364,negated_conjecture,
v1_funct_2(esk413_0,u1_struct_0(esk412_0),u1_struct_0(esk412_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_4359,c_0_4357]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4353]) ).
cnf(c_0_4365,negated_conjecture,
v1_funct_1(esk413_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_4360,c_0_4357]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4353]) ).
cnf(c_0_4366,plain,
( k2_pre_topc(esk412_0) = u1_struct_0(esk412_0)
| ~ l1_struct_0(esk412_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_4361,c_0_4362]),c_0_4363]),c_0_4364]),c_0_4365])]),c_0_4353]) ).
cnf(c_0_4367,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_1029 ).
cnf(c_0_4368,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
i_0_395 ).
cnf(c_0_4369,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(k2_pre_topc(X1)) ),
i_0_1234 ).
cnf(c_0_4370,plain,
k2_pre_topc(esk412_0) = u1_struct_0(esk412_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4366,c_0_4367]),c_0_4352])]) ).
cnf(c_0_4371,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X3)
| ~ m1_fraenkel(X3,X4,X1)
| ~ m2_fraenkel(X2,X4,X1,X3) ),
i_0_1806 ).
cnf(c_0_4372,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_917 ).
cnf(c_0_4373,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_4368,c_0_4367]) ).
cnf(c_0_4374,plain,
( ~ l1_struct_0(esk412_0)
| ~ v1_xboole_0(u1_struct_0(esk412_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4369,c_0_4370]),c_0_4353]) ).
cnf(c_0_4375,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_xboole_0(X3)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1) ),
i_0_116 ).
cnf(c_0_4376,plain,
( v1_funct_1(X1)
| ~ v1_xboole_0(X1) ),
i_0_43 ).
cnf(c_0_4377,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_1808 ).
cnf(c_0_4378,plain,
( m1_subset_1(X1,k4_autgroup(X2))
| v1_xboole_0(u1_struct_0(X2))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ v1_group_1(X2)
| ~ l1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k4_autgroup(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4371,c_0_4372]),c_0_4373]) ).
cnf(c_0_4379,plain,
~ v1_xboole_0(u1_struct_0(esk412_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4374,c_0_4367]),c_0_4352])]) ).
cnf(c_0_4380,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_xboole_0(X3)
| ~ v1_funct_2(X3,X2,X1) ),
inference(csr,[status(thm)],[c_0_4375,c_0_4376]) ).
cnf(c_0_4381,plain,
m1_relset_1(esk413_0,u1_struct_0(esk412_0),u1_struct_0(esk412_0)),
inference(spm,[status(thm)],[c_0_4377,c_0_4362]) ).
cnf(c_0_4382,negated_conjecture,
m2_fraenkel(esk414_0,u1_struct_0(esk412_0),u1_struct_0(esk412_0),k4_autgroup(esk412_0)),
i_0_2420 ).
cnf(c_0_4383,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
i_0_487 ).
cnf(c_0_4384,negated_conjecture,
m1_subset_1(esk413_0,k4_autgroup(esk412_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_4378,c_0_4348]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4379]) ).
cnf(c_0_4385,plain,
~ v1_xboole_0(esk413_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4380,c_0_4381]),c_0_4364])]),c_0_4379]) ).
cnf(c_0_4386,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_489 ).
cnf(c_0_4387,negated_conjecture,
m1_subset_1(esk414_0,k4_autgroup(esk412_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_4378,c_0_4382]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4379]) ).
cnf(c_0_4388,plain,
~ v1_xboole_0(k4_autgroup(esk412_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4383,c_0_4384]),c_0_4385]) ).
cnf(c_0_4389,negated_conjecture,
m2_fraenkel(esk414_0,u1_struct_0(esk412_0),u1_struct_0(esk412_0),k1_autgroup(esk412_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_4347,c_0_4382]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4353]) ).
cnf(c_0_4390,plain,
( v3_struct_0(X1)
| m2_relset_1(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_878 ).
cnf(c_0_4391,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
i_0_1037 ).
cnf(c_0_4392,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
i_0_4269 ).
cnf(c_0_4393,plain,
r2_hidden(esk414_0,k4_autgroup(esk412_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4386,c_0_4387]),c_0_4388]) ).
cnf(c_0_4394,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
i_0_3939 ).
cnf(c_0_4395,plain,
( v3_struct_0(X1)
| r1_tarski(k4_autgroup(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_2325 ).
cnf(c_0_4396,plain,
( k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),X2,X3,X4) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X4,X3)
| v3_struct_0(X1)
| X2 != k2_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X4,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1)) ),
i_0_430 ).
cnf(c_0_4397,plain,
( v3_struct_0(X1)
| v1_funct_1(k2_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_880 ).
cnf(c_0_4398,plain,
( v3_struct_0(X1)
| v1_funct_2(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_879 ).
cnf(c_0_4399,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_1798 ).
cnf(c_0_4400,negated_conjecture,
m2_relset_1(esk414_0,u1_struct_0(esk412_0),u1_struct_0(esk412_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_4356,c_0_4389]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4353]) ).
cnf(c_0_4401,plain,
( k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X6,X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3) ),
i_0_1775 ).
cnf(c_0_4402,plain,
( m1_relset_1(k2_autgroup(X1),k2_zfmisc_1(k1_autgroup(X1),k1_autgroup(X1)),k1_autgroup(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_4377,c_0_4390]) ).
cnf(c_0_4403,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(k1_autgroup(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_4391,c_0_4346]) ).
cnf(c_0_4404,plain,
( m1_subset_1(esk414_0,X1)
| ~ m1_subset_1(k4_autgroup(esk412_0),k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_4392,c_0_4393]) ).
cnf(c_0_4405,plain,
( m1_subset_1(k4_autgroup(X1),k1_zfmisc_1(k1_autgroup(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_4394,c_0_4395]) ).
cnf(c_0_4406,plain,
r2_hidden(esk413_0,k4_autgroup(esk412_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4386,c_0_4384]),c_0_4388]) ).
cnf(c_0_4407,plain,
( k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X2,X3) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X3,X2)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_4396]),c_0_4397]),c_0_4398]),c_0_4390]) ).
cnf(c_0_4408,plain,
( k7_funct_2(X1,u1_struct_0(esk412_0),u1_struct_0(esk412_0),X2,esk413_0) = k5_relat_1(X2,esk413_0)
| ~ m1_relset_1(X2,X1,u1_struct_0(esk412_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk412_0))
| ~ v1_funct_1(X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4399,c_0_4381]),c_0_4364]),c_0_4365])]),c_0_4379]) ).
cnf(c_0_4409,plain,
m1_relset_1(esk414_0,u1_struct_0(esk412_0),u1_struct_0(esk412_0)),
inference(spm,[status(thm)],[c_0_4377,c_0_4400]) ).
cnf(c_0_4410,negated_conjecture,
v1_funct_2(esk414_0,u1_struct_0(esk412_0),u1_struct_0(esk412_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_4359,c_0_4389]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4353]) ).
cnf(c_0_4411,negated_conjecture,
v1_funct_1(esk414_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_4360,c_0_4389]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4353]) ).
cnf(c_0_4412,plain,
( k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X2,X3) = k1_binop_1(k2_autgroup(X1),X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,k1_autgroup(X1))
| ~ m1_subset_1(X2,k1_autgroup(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4401,c_0_4402]),c_0_4397]),c_0_4398]),c_0_4403]) ).
cnf(c_0_4413,plain,
m1_subset_1(esk414_0,k1_autgroup(esk412_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_4404,c_0_4405]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4353]) ).
cnf(c_0_4414,plain,
( m1_subset_1(esk413_0,X1)
| ~ m1_subset_1(k4_autgroup(esk412_0),k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_4392,c_0_4406]) ).
cnf(c_0_4415,negated_conjecture,
( k2_binop_1(k1_autgroup(esk412_0),k1_autgroup(esk412_0),k1_autgroup(esk412_0),k2_autgroup(esk412_0),X1,esk414_0) = k7_funct_2(u1_struct_0(esk412_0),u1_struct_0(esk412_0),u1_struct_0(esk412_0),esk414_0,X1)
| ~ m2_fraenkel(X1,u1_struct_0(esk412_0),u1_struct_0(esk412_0),k1_autgroup(esk412_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_4407,c_0_4389]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4353]) ).
cnf(c_0_4416,plain,
k7_funct_2(u1_struct_0(esk412_0),u1_struct_0(esk412_0),u1_struct_0(esk412_0),esk414_0,esk413_0) = k5_relat_1(esk414_0,esk413_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4408,c_0_4409]),c_0_4410]),c_0_4411])]) ).
cnf(c_0_4417,negated_conjecture,
k7_funct_2(u1_struct_0(esk412_0),u1_struct_0(esk412_0),u1_struct_0(esk412_0),esk414_0,esk413_0) != k1_binop_1(k2_autgroup(esk412_0),esk413_0,esk414_0),
i_0_2419 ).
cnf(c_0_4418,plain,
( k2_binop_1(k1_autgroup(esk412_0),k1_autgroup(esk412_0),k1_autgroup(esk412_0),k2_autgroup(esk412_0),X1,esk414_0) = k1_binop_1(k2_autgroup(esk412_0),X1,esk414_0)
| ~ m1_subset_1(X1,k1_autgroup(esk412_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_4412,c_0_4413]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4353]) ).
cnf(c_0_4419,plain,
m1_subset_1(esk413_0,k1_autgroup(esk412_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_4414,c_0_4405]),c_0_4349]),c_0_4350]),c_0_4351]),c_0_4352])]),c_0_4353]) ).
cnf(c_0_4420,negated_conjecture,
k2_binop_1(k1_autgroup(esk412_0),k1_autgroup(esk412_0),k1_autgroup(esk412_0),k2_autgroup(esk412_0),esk413_0,esk414_0) = k5_relat_1(esk414_0,esk413_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4415,c_0_4357]),c_0_4416]) ).
cnf(c_0_4421,negated_conjecture,
k1_binop_1(k2_autgroup(esk412_0),esk413_0,esk414_0) != k5_relat_1(esk414_0,esk413_0),
inference(rw,[status(thm)],[c_0_4417,c_0_4416]) ).
cnf(c_0_4422,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4418,c_0_4419]),c_0_4420]),c_0_4421]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP624+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 11:16:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.64/0.90 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.64/0.90 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.64/0.90 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.64/0.90 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 52.28/9.95 # ENIGMATIC: Solved by autoschedule-lgb:
% 52.28/9.95 # No SInE strategy applied
% 52.28/9.95 # Trying AutoSched0 for 149 seconds
% 52.28/9.95 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 52.28/9.95 # and selection function SelectCQIPrecWNTNp.
% 52.28/9.95 #
% 52.28/9.95 # Preprocessing time : 0.016 s
% 52.28/9.95 # Presaturation interreduction done
% 52.28/9.95
% 52.28/9.95 # Proof found!
% 52.28/9.95 # SZS status Theorem
% 52.28/9.95 # SZS output start CNFRefutation
% See solution above
% 52.28/9.95 # Training examples: 0 positive, 0 negative
% 52.28/9.95
% 52.28/9.95 # -------------------------------------------------
% 52.28/9.95 # User time : 5.024 s
% 52.28/9.95 # System time : 0.133 s
% 52.28/9.95 # Total time : 5.157 s
% 52.28/9.95 # Maximum resident set size: 7124 pages
% 52.28/9.95
%------------------------------------------------------------------------------