%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP645+2 : 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 08:39:51 EDT 2022
% Result : Theorem 11.47s 4.04s
% Output : CNFRefutation 11.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of clauses : 47 ( 26 unt; 17 nHn; 47 RR)
% Number of literals : 149 ( 18 equ; 91 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-5 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_241,plain,
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_latsubgr(X3)
| ~ l1_group_1(X3)
| ~ v1_group_1(X2)
| ~ v1_funct_1(X1)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ m1_group_2(X2,X3)
| ~ v1_funct_2(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3)))
| ~ m2_relset_1(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_241) ).
cnf(i_0_623,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_623) ).
cnf(i_0_622,plain,
( v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_622) ).
cnf(i_0_621,plain,
( v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_621) ).
cnf(i_0_681,plain,
( v3_struct_0(X1)
| m1_group_2(k9_group_2(X1,X2,X3),X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_681) ).
cnf(i_0_2164,negated_conjecture,
m1_group_2(esk371_0,esk370_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_2164) ).
cnf(i_0_2167,negated_conjecture,
v4_group_1(esk370_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_2167) ).
cnf(i_0_2168,negated_conjecture,
v3_group_1(esk370_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_2168) ).
cnf(i_0_2166,negated_conjecture,
l1_group_1(esk370_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_2166) ).
cnf(i_0_2169,negated_conjecture,
~ v3_struct_0(esk370_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_2169) ).
cnf(i_0_43,plain,
( k9_group_2(X1,X2,X3) = k9_group_2(X1,X3,X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_43) ).
cnf(i_0_2162,negated_conjecture,
m1_group_2(esk372_0,esk370_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_2162) ).
cnf(i_0_682,plain,
( v3_struct_0(X1)
| v1_group_1(k9_group_2(X1,X2,X3))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_682) ).
cnf(i_0_2163,negated_conjecture,
v1_group_1(esk372_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_2163) ).
cnf(i_0_2165,negated_conjecture,
v1_group_1(esk371_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_2165) ).
cnf(i_0_2161,negated_conjecture,
k1_setfam_1(k3_enumset1(k1_funct_1(k1_latsubgr(esk370_0),esk371_0),k1_funct_1(k1_latsubgr(esk370_0),esk371_0),k1_funct_1(k1_latsubgr(esk370_0),esk371_0),k1_funct_1(k1_latsubgr(esk370_0),esk371_0),k1_funct_1(k1_latsubgr(esk370_0),esk372_0))) != k1_funct_1(k1_latsubgr(esk370_0),k9_group_2(esk370_0,esk371_0,esk372_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_2161) ).
cnf(i_0_2001,plain,
( u1_struct_0(k9_group_2(X1,X2,X3)) = k1_setfam_1(k3_enumset1(u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X3)))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hszids5l/lgb.p',i_0_2001) ).
cnf(c_0_2187,plain,
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_latsubgr(X3)
| ~ l1_group_1(X3)
| ~ v1_group_1(X2)
| ~ v1_funct_1(X1)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ m1_group_2(X2,X3)
| ~ v1_funct_2(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3)))
| ~ m2_relset_1(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3))) ),
i_0_241 ).
cnf(c_0_2188,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_623 ).
cnf(c_0_2189,plain,
( v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_622 ).
cnf(c_0_2190,plain,
( v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_621 ).
cnf(c_0_2191,plain,
( v3_struct_0(X1)
| m1_group_2(k9_group_2(X1,X2,X3),X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_681 ).
cnf(c_0_2192,negated_conjecture,
m1_group_2(esk371_0,esk370_0),
i_0_2164 ).
cnf(c_0_2193,negated_conjecture,
v4_group_1(esk370_0),
i_0_2167 ).
cnf(c_0_2194,negated_conjecture,
v3_group_1(esk370_0),
i_0_2168 ).
cnf(c_0_2195,negated_conjecture,
l1_group_1(esk370_0),
i_0_2166 ).
cnf(c_0_2196,negated_conjecture,
~ v3_struct_0(esk370_0),
i_0_2169 ).
cnf(c_0_2197,plain,
( k9_group_2(X1,X2,X3) = k9_group_2(X1,X3,X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_43 ).
cnf(c_0_2198,negated_conjecture,
m1_group_2(esk372_0,esk370_0),
i_0_2162 ).
cnf(c_0_2199,plain,
( v3_struct_0(X1)
| v1_group_1(k9_group_2(X1,X2,X3))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_682 ).
cnf(c_0_2200,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_2187]),c_0_2188]),c_0_2189]),c_0_2190]) ).
cnf(c_0_2201,negated_conjecture,
v1_group_1(esk372_0),
i_0_2163 ).
cnf(c_0_2202,negated_conjecture,
v1_group_1(esk371_0),
i_0_2165 ).
cnf(c_0_2203,negated_conjecture,
( m1_group_2(k9_group_2(esk370_0,X1,esk371_0),esk370_0)
| ~ m1_group_2(X1,esk370_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_2191,c_0_2192]),c_0_2193]),c_0_2194]),c_0_2195])]),c_0_2196]) ).
cnf(c_0_2204,negated_conjecture,
( k9_group_2(esk370_0,X1,esk372_0) = k9_group_2(esk370_0,esk372_0,X1)
| ~ m1_group_2(X1,esk370_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_2197,c_0_2198]),c_0_2193]),c_0_2194]),c_0_2195])]),c_0_2196]) ).
cnf(c_0_2205,negated_conjecture,
( v1_group_1(k9_group_2(esk370_0,X1,esk371_0))
| ~ m1_group_2(X1,esk370_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_2199,c_0_2192]),c_0_2193]),c_0_2194]),c_0_2195])]),c_0_2196]) ).
cnf(c_0_2206,negated_conjecture,
k1_setfam_1(k3_enumset1(k1_funct_1(k1_latsubgr(esk370_0),esk371_0),k1_funct_1(k1_latsubgr(esk370_0),esk371_0),k1_funct_1(k1_latsubgr(esk370_0),esk371_0),k1_funct_1(k1_latsubgr(esk370_0),esk371_0),k1_funct_1(k1_latsubgr(esk370_0),esk372_0))) != k1_funct_1(k1_latsubgr(esk370_0),k9_group_2(esk370_0,esk371_0,esk372_0)),
i_0_2161 ).
cnf(c_0_2207,negated_conjecture,
k1_funct_1(k1_latsubgr(esk370_0),esk372_0) = u1_struct_0(esk372_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_2200,c_0_2198]),c_0_2193]),c_0_2194]),c_0_2201]),c_0_2195])]),c_0_2196]) ).
cnf(c_0_2208,negated_conjecture,
k1_funct_1(k1_latsubgr(esk370_0),esk371_0) = u1_struct_0(esk371_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_2200,c_0_2192]),c_0_2193]),c_0_2194]),c_0_2202]),c_0_2195])]),c_0_2196]) ).
cnf(c_0_2209,negated_conjecture,
m1_group_2(k9_group_2(esk370_0,esk371_0,esk372_0),esk370_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2203,c_0_2204]),c_0_2198]),c_0_2192])]) ).
cnf(c_0_2210,negated_conjecture,
v1_group_1(k9_group_2(esk370_0,esk371_0,esk372_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2205,c_0_2204]),c_0_2198]),c_0_2192])]) ).
cnf(c_0_2211,negated_conjecture,
k1_setfam_1(k3_enumset1(u1_struct_0(esk371_0),u1_struct_0(esk371_0),u1_struct_0(esk371_0),u1_struct_0(esk371_0),u1_struct_0(esk372_0))) != k1_funct_1(k1_latsubgr(esk370_0),k9_group_2(esk370_0,esk371_0,esk372_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2206,c_0_2207]),c_0_2208]),c_0_2208]),c_0_2208]),c_0_2208]) ).
cnf(c_0_2212,plain,
k1_funct_1(k1_latsubgr(esk370_0),k9_group_2(esk370_0,esk371_0,esk372_0)) = u1_struct_0(k9_group_2(esk370_0,esk371_0,esk372_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_2200,c_0_2209]),c_0_2193]),c_0_2194]),c_0_2210]),c_0_2195])]),c_0_2196]) ).
cnf(c_0_2213,plain,
( u1_struct_0(k9_group_2(X1,X2,X3)) = k1_setfam_1(k3_enumset1(u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X3)))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_2001 ).
cnf(c_0_2214,negated_conjecture,
k1_setfam_1(k3_enumset1(u1_struct_0(esk371_0),u1_struct_0(esk371_0),u1_struct_0(esk371_0),u1_struct_0(esk371_0),u1_struct_0(esk372_0))) != u1_struct_0(k9_group_2(esk370_0,esk371_0,esk372_0)),
inference(rw,[status(thm)],[c_0_2211,c_0_2212]) ).
cnf(c_0_2215,negated_conjecture,
( k1_setfam_1(k3_enumset1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(esk372_0))) = u1_struct_0(k9_group_2(esk370_0,X1,esk372_0))
| ~ m1_group_2(X1,esk370_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_2213,c_0_2198]),c_0_2193]),c_0_2194]),c_0_2195])]),c_0_2196]) ).
cnf(c_0_2216,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2214,c_0_2215]),c_0_2192])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP645+2 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 13:45:36 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.46/0.66 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.66 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.46/0.66 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.46/0.66 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.47/4.04 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.47/4.04 # No SInE strategy applied
% 11.47/4.04 # Trying AutoSched0 for 150 seconds
% 11.47/4.04 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.47/4.04 # and selection function SelectComplexExceptUniqMaxHorn.
% 11.47/4.04 #
% 11.47/4.04 # Preprocessing time : 0.025 s
% 11.47/4.04 # Presaturation interreduction done
% 11.47/4.04
% 11.47/4.04 # Proof found!
% 11.47/4.04 # SZS status Theorem
% 11.47/4.04 # SZS output start CNFRefutation
% See solution above
% 11.47/4.04 # Training examples: 0 positive, 0 negative
% 11.47/4.04
% 11.47/4.04 # -------------------------------------------------
% 11.47/4.04 # User time : 0.214 s
% 11.47/4.04 # System time : 0.015 s
% 11.47/4.04 # Total time : 0.229 s
% 11.47/4.04 # Maximum resident set size: 7132 pages
% 11.47/4.04
%------------------------------------------------------------------------------