%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP648+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 08:39:55 EDT 2022
% Result : Theorem 37.33s 7.65s
% Output : CNFRefutation 37.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of clauses : 59 ( 28 unt; 23 nHn; 59 RR)
% Number of literals : 215 ( 12 equ; 140 neg)
% Maximal clause size : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 63 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3018,negated_conjecture,
( ~ m1_group_6(esk457_0,esk456_0,esk458_0)
| ~ r3_lattices(k11_group_4(esk456_0),esk459_0,esk460_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_3018) ).
cnf(i_0_3020,negated_conjecture,
esk457_0 = esk459_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_3020) ).
cnf(i_0_3019,negated_conjecture,
esk458_0 = esk460_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_3019) ).
cnf(i_0_2989,plain,
( v3_struct_0(X1)
| r3_lattices(k11_group_4(X1),X2,X3)
| X4 != X3
| X5 != X2
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X4,X1)
| ~ m1_group_2(X5,X1)
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_group_4(X1)))
| ~ r1_tarski(u1_struct_0(X5),u1_struct_0(X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_2989) ).
cnf(i_0_3024,negated_conjecture,
m1_group_2(esk457_0,esk456_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_3024) ).
cnf(i_0_3023,negated_conjecture,
m1_group_2(esk458_0,esk456_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_3023) ).
cnf(i_0_3021,negated_conjecture,
m1_subset_1(esk460_0,u1_struct_0(k11_group_4(esk456_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_3021) ).
cnf(i_0_3022,negated_conjecture,
m1_subset_1(esk459_0,u1_struct_0(k11_group_4(esk456_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_3022) ).
cnf(i_0_3026,negated_conjecture,
v4_group_1(esk456_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_3026) ).
cnf(i_0_3027,negated_conjecture,
v3_group_1(esk456_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_3027) ).
cnf(i_0_3025,negated_conjecture,
l1_group_1(esk456_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_3025) ).
cnf(i_0_3028,negated_conjecture,
~ v3_struct_0(esk456_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_3028) ).
cnf(i_0_2990,plain,
( v3_struct_0(X1)
| r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
| X4 != X3
| X5 != X2
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ r3_lattices(k11_group_4(X1),X5,X4)
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X1)))
| ~ m1_subset_1(X5,u1_struct_0(k11_group_4(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_2990) ).
cnf(i_0_3017,negated_conjecture,
( m1_group_6(esk457_0,esk456_0,esk458_0)
| r3_lattices(k11_group_4(esk456_0),esk459_0,esk460_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_3017) ).
cnf(i_0_1628,plain,
( v3_struct_0(X1)
| m1_group_6(X2,X1,X3)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_1628) ).
cnf(i_0_608,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_608) ).
cnf(i_0_991,plain,
( v3_struct_0(X1)
| v3_group_1(X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_991) ).
cnf(i_0_990,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_990) ).
cnf(i_0_992,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_struct_0(X2)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_992) ).
cnf(i_0_1629,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X3)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_6(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_1629) ).
cnf(i_0_4169,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X3)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xn9hn5n7/input.p',i_0_4169) ).
cnf(c_0_4191,negated_conjecture,
( ~ m1_group_6(esk457_0,esk456_0,esk458_0)
| ~ r3_lattices(k11_group_4(esk456_0),esk459_0,esk460_0) ),
i_0_3018 ).
cnf(c_0_4192,negated_conjecture,
esk457_0 = esk459_0,
i_0_3020 ).
cnf(c_0_4193,negated_conjecture,
esk458_0 = esk460_0,
i_0_3019 ).
cnf(c_0_4194,plain,
( v3_struct_0(X1)
| r3_lattices(k11_group_4(X1),X2,X3)
| X4 != X3
| X5 != X2
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X4,X1)
| ~ m1_group_2(X5,X1)
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_group_4(X1)))
| ~ r1_tarski(u1_struct_0(X5),u1_struct_0(X4)) ),
i_0_2989 ).
cnf(c_0_4195,negated_conjecture,
m1_group_2(esk457_0,esk456_0),
i_0_3024 ).
cnf(c_0_4196,negated_conjecture,
m1_group_2(esk458_0,esk456_0),
i_0_3023 ).
cnf(c_0_4197,negated_conjecture,
( ~ r3_lattices(k11_group_4(esk456_0),esk459_0,esk460_0)
| ~ m1_group_6(esk459_0,esk456_0,esk460_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4191,c_0_4192]),c_0_4193]) ).
cnf(c_0_4198,plain,
( r3_lattices(k11_group_4(X1),X2,X3)
| v3_struct_0(X1)
| ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_group_4(X1)))
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X3,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_4194])]) ).
cnf(c_0_4199,negated_conjecture,
m1_subset_1(esk460_0,u1_struct_0(k11_group_4(esk456_0))),
i_0_3021 ).
cnf(c_0_4200,negated_conjecture,
m1_subset_1(esk459_0,u1_struct_0(k11_group_4(esk456_0))),
i_0_3022 ).
cnf(c_0_4201,negated_conjecture,
m1_group_2(esk459_0,esk456_0),
inference(rw,[status(thm)],[c_0_4195,c_0_4192]) ).
cnf(c_0_4202,negated_conjecture,
m1_group_2(esk460_0,esk456_0),
inference(rw,[status(thm)],[c_0_4196,c_0_4193]) ).
cnf(c_0_4203,negated_conjecture,
v4_group_1(esk456_0),
i_0_3026 ).
cnf(c_0_4204,negated_conjecture,
v3_group_1(esk456_0),
i_0_3027 ).
cnf(c_0_4205,negated_conjecture,
l1_group_1(esk456_0),
i_0_3025 ).
cnf(c_0_4206,negated_conjecture,
~ v3_struct_0(esk456_0),
i_0_3028 ).
cnf(c_0_4207,plain,
( v3_struct_0(X1)
| r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
| X4 != X3
| X5 != X2
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ r3_lattices(k11_group_4(X1),X5,X4)
| ~ m1_subset_1(X4,u1_struct_0(k11_group_4(X1)))
| ~ m1_subset_1(X5,u1_struct_0(k11_group_4(X1))) ),
i_0_2990 ).
cnf(c_0_4208,negated_conjecture,
( m1_group_6(esk457_0,esk456_0,esk458_0)
| r3_lattices(k11_group_4(esk456_0),esk459_0,esk460_0) ),
i_0_3017 ).
cnf(c_0_4209,negated_conjecture,
( ~ m1_group_6(esk459_0,esk456_0,esk460_0)
| ~ r1_tarski(u1_struct_0(esk459_0),u1_struct_0(esk460_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_4197,c_0_4198]),c_0_4199]),c_0_4200]),c_0_4201]),c_0_4202]),c_0_4203]),c_0_4204]),c_0_4205])]),c_0_4206]) ).
cnf(c_0_4210,plain,
( v3_struct_0(X1)
| m1_group_6(X2,X1,X3)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X3) ),
i_0_1628 ).
cnf(c_0_4211,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ m1_group_2(X2,X1) ),
i_0_608 ).
cnf(c_0_4212,plain,
( v3_struct_0(X1)
| v3_group_1(X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_991 ).
cnf(c_0_4213,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2) ),
i_0_990 ).
cnf(c_0_4214,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_struct_0(X2)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_992 ).
cnf(c_0_4215,plain,
( v3_struct_0(X1)
| r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
| ~ r3_lattices(k11_group_4(X1),X2,X3)
| ~ m1_subset_1(X2,u1_struct_0(k11_group_4(X1)))
| ~ m1_subset_1(X3,u1_struct_0(k11_group_4(X1)))
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_4207])]) ).
cnf(c_0_4216,negated_conjecture,
( r3_lattices(k11_group_4(esk456_0),esk459_0,esk460_0)
| m1_group_6(esk459_0,esk456_0,esk460_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4208,c_0_4192]),c_0_4193]) ).
cnf(c_0_4217,plain,
( ~ r1_tarski(u1_struct_0(esk459_0),u1_struct_0(esk460_0))
| ~ m1_group_2(esk459_0,esk460_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_4209,c_0_4210]),c_0_4202]),c_0_4203]),c_0_4204]),c_0_4205])]),c_0_4206]) ).
cnf(c_0_4218,plain,
( v3_struct_0(X1)
| r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_group_2(X2,X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_4211,c_0_4212]),c_0_4213]),c_0_4214]) ).
cnf(c_0_4219,negated_conjecture,
v3_group_1(esk460_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4212,c_0_4202]),c_0_4204]),c_0_4205])]),c_0_4206]) ).
cnf(c_0_4220,negated_conjecture,
l1_group_1(esk460_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4213,c_0_4202]),c_0_4204]),c_0_4205])]),c_0_4206]) ).
cnf(c_0_4221,negated_conjecture,
~ v3_struct_0(esk460_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4214,c_0_4202]),c_0_4204]),c_0_4205])]),c_0_4206]) ).
cnf(c_0_4222,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X3)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_6(X2,X1,X3) ),
i_0_1629 ).
cnf(c_0_4223,negated_conjecture,
( m1_group_6(esk459_0,esk456_0,esk460_0)
| r1_tarski(u1_struct_0(esk459_0),u1_struct_0(esk460_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_4215,c_0_4216]),c_0_4200]),c_0_4199]),c_0_4202]),c_0_4201]),c_0_4203]),c_0_4204]),c_0_4205])]),c_0_4206]) ).
cnf(c_0_4224,plain,
~ m1_group_2(esk459_0,esk460_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4217,c_0_4218]),c_0_4219]),c_0_4220])]),c_0_4221]) ).
cnf(c_0_4225,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X3)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X3)) ),
i_0_4169 ).
cnf(c_0_4226,plain,
r1_tarski(u1_struct_0(esk459_0),u1_struct_0(esk460_0)),
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_4222,c_0_4223]),c_0_4202]),c_0_4203]),c_0_4204]),c_0_4205])]),c_0_4206]),c_0_4224]) ).
cnf(c_0_4227,plain,
( v3_struct_0(X1)
| ~ m1_group_2(esk460_0,X1)
| ~ m1_group_2(esk459_0,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4225,c_0_4226]),c_0_4224]) ).
cnf(c_0_4228,negated_conjecture,
$false,
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_4227,c_0_4202]),c_0_4201]),c_0_4203]),c_0_4204]),c_0_4205])]),c_0_4206]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP648+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n006.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 05:53:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.45/0.65 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.65 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.45/0.65 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.45/0.65 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 37.33/7.65 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 37.33/7.65 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 51; version: 991; iters: 150)
% 37.33/7.65 # Preprocessing time : 3.354 s
% 37.33/7.65
% 37.33/7.65 # Proof found!
% 37.33/7.65 # SZS status Theorem
% 37.33/7.65 # SZS output start CNFRefutation
% See solution above
% 37.33/7.65 # Training examples: 0 positive, 0 negative
% 37.33/7.65
% 37.33/7.65 # -------------------------------------------------
% 37.33/7.65 # User time : 3.368 s
% 37.33/7.65 # System time : 0.147 s
% 37.33/7.65 # Total time : 3.515 s
% 37.33/7.65 # ...preprocessing : 3.354 s
% 37.33/7.65 # ...main loop : 0.161 s
% 37.33/7.65 # Maximum resident set size: 191120 pages
% 37.33/7.65
%------------------------------------------------------------------------------