TSTP Solution File: LAT305+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT305+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 : Sun Jul 17 04:29:16 EDT 2022
% Result : Theorem 26.76s 8.15s
% Output : CNFRefutation 26.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 50 ( 20 unt; 15 nHn; 50 RR)
% Number of literals : 157 ( 2 equ; 98 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1791,plain,
( v3_struct_0(X1)
| r1_boolealg(X1,X2,X3)
| X2 != X3
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-soi4fo5s/lgb.p',i_0_1791) ).
cnf(i_0_4266,negated_conjecture,
m1_subset_1(esk628_0,u1_struct_0(esk627_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-soi4fo5s/lgb.p',i_0_4266) ).
cnf(i_0_4268,negated_conjecture,
v10_lattices(esk627_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-soi4fo5s/lgb.p',i_0_4268) ).
cnf(i_0_4267,negated_conjecture,
l3_lattices(esk627_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-soi4fo5s/lgb.p',i_0_4267) ).
cnf(i_0_4269,negated_conjecture,
~ v3_struct_0(esk627_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-soi4fo5s/lgb.p',i_0_4269) ).
cnf(i_0_584,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_boolealg(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-soi4fo5s/lgb.p',i_0_584) ).
cnf(i_0_936,plain,
( v3_struct_0(X1)
| m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1))
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-soi4fo5s/lgb.p',i_0_936) ).
cnf(i_0_4265,negated_conjecture,
m1_subset_1(esk629_0,u1_struct_0(esk627_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-soi4fo5s/lgb.p',i_0_4265) ).
cnf(i_0_4129,plain,
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r3_lattices(X1,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-soi4fo5s/lgb.p',i_0_4129) ).
cnf(i_0_993,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-soi4fo5s/lgb.p',i_0_993) ).
cnf(i_0_46,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-soi4fo5s/lgb.p',i_0_46) ).
cnf(i_0_4128,plain,
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r3_lattices(X1,X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-soi4fo5s/lgb.p',i_0_4128) ).
cnf(i_0_4043,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k18_filter_2(X1,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-soi4fo5s/lgb.p',i_0_4043) ).
cnf(i_0_4264,negated_conjecture,
( ~ r2_hidden(esk628_0,k18_filter_2(esk627_0,esk628_0))
| ~ r2_hidden(k4_lattices(esk627_0,esk628_0,esk629_0),k18_filter_2(esk627_0,esk628_0))
| ~ r2_hidden(k4_lattices(esk627_0,esk629_0,esk628_0),k18_filter_2(esk627_0,esk628_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-soi4fo5s/lgb.p',i_0_4264) ).
cnf(c_0_4284,plain,
( v3_struct_0(X1)
| r1_boolealg(X1,X2,X3)
| X2 != X3
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_1791 ).
cnf(c_0_4285,plain,
( r1_boolealg(X1,X2,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(er,[status(thm)],[c_0_4284]) ).
cnf(c_0_4286,negated_conjecture,
m1_subset_1(esk628_0,u1_struct_0(esk627_0)),
i_0_4266 ).
cnf(c_0_4287,negated_conjecture,
v10_lattices(esk627_0),
i_0_4268 ).
cnf(c_0_4288,negated_conjecture,
l3_lattices(esk627_0),
i_0_4267 ).
cnf(c_0_4289,negated_conjecture,
~ v3_struct_0(esk627_0),
i_0_4269 ).
cnf(c_0_4290,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_boolealg(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_584 ).
cnf(c_0_4291,negated_conjecture,
r1_boolealg(esk627_0,esk628_0,esk628_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4285,c_0_4286]),c_0_4287]),c_0_4288])]),c_0_4289]) ).
cnf(c_0_4292,plain,
( v3_struct_0(X1)
| m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1))
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_936 ).
cnf(c_0_4293,negated_conjecture,
m1_subset_1(esk629_0,u1_struct_0(esk627_0)),
i_0_4265 ).
cnf(c_0_4294,plain,
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r3_lattices(X1,X2,X4)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_4129 ).
cnf(c_0_4295,plain,
r3_lattices(esk627_0,esk628_0,esk628_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_4290,c_0_4291]),c_0_4287]),c_0_4288]),c_0_4286])]),c_0_4289]) ).
cnf(c_0_4296,negated_conjecture,
( m1_subset_1(k4_lattices(esk627_0,X1,esk629_0),u1_struct_0(esk627_0))
| ~ l1_lattices(esk627_0)
| ~ v6_lattices(esk627_0)
| ~ m1_subset_1(X1,u1_struct_0(esk627_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4292,c_0_4293]),c_0_4289]) ).
cnf(c_0_4297,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_993 ).
cnf(c_0_4298,plain,
( r3_lattices(esk627_0,k4_lattices(esk627_0,esk628_0,X1),esk628_0)
| ~ m1_subset_1(X1,u1_struct_0(esk627_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_4294,c_0_4295]),c_0_4287]),c_0_4288]),c_0_4286])]),c_0_4289]) ).
cnf(c_0_4299,plain,
( m1_subset_1(k4_lattices(esk627_0,X1,esk629_0),u1_struct_0(esk627_0))
| ~ v6_lattices(esk627_0)
| ~ m1_subset_1(X1,u1_struct_0(esk627_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4296,c_0_4297]),c_0_4288])]) ).
cnf(c_0_4300,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_46 ).
cnf(c_0_4301,plain,
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r3_lattices(X1,X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_4128 ).
cnf(c_0_4302,negated_conjecture,
( m1_subset_1(k4_lattices(esk627_0,X1,esk628_0),u1_struct_0(esk627_0))
| ~ l1_lattices(esk627_0)
| ~ v6_lattices(esk627_0)
| ~ m1_subset_1(X1,u1_struct_0(esk627_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4292,c_0_4286]),c_0_4289]) ).
cnf(c_0_4303,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k18_filter_2(X1,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_4043 ).
cnf(c_0_4304,negated_conjecture,
r3_lattices(esk627_0,k4_lattices(esk627_0,esk628_0,esk629_0),esk628_0),
inference(spm,[status(thm)],[c_0_4298,c_0_4293]) ).
cnf(c_0_4305,plain,
( m1_subset_1(k4_lattices(esk627_0,X1,esk629_0),u1_struct_0(esk627_0))
| ~ m1_subset_1(X1,u1_struct_0(esk627_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4299,c_0_4300]),c_0_4287]),c_0_4288])]),c_0_4289]) ).
cnf(c_0_4306,plain,
( r3_lattices(esk627_0,k4_lattices(esk627_0,X1,esk628_0),esk628_0)
| ~ m1_subset_1(X1,u1_struct_0(esk627_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_4301,c_0_4295]),c_0_4287]),c_0_4288]),c_0_4286])]),c_0_4289]) ).
cnf(c_0_4307,plain,
( m1_subset_1(k4_lattices(esk627_0,X1,esk628_0),u1_struct_0(esk627_0))
| ~ v6_lattices(esk627_0)
| ~ m1_subset_1(X1,u1_struct_0(esk627_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4302,c_0_4297]),c_0_4288])]) ).
cnf(c_0_4308,negated_conjecture,
( ~ r2_hidden(esk628_0,k18_filter_2(esk627_0,esk628_0))
| ~ r2_hidden(k4_lattices(esk627_0,esk628_0,esk629_0),k18_filter_2(esk627_0,esk628_0))
| ~ r2_hidden(k4_lattices(esk627_0,esk629_0,esk628_0),k18_filter_2(esk627_0,esk628_0)) ),
i_0_4264 ).
cnf(c_0_4309,plain,
r2_hidden(esk628_0,k18_filter_2(esk627_0,esk628_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_4303,c_0_4295]),c_0_4287]),c_0_4288]),c_0_4286])]),c_0_4289]) ).
cnf(c_0_4310,plain,
( r2_hidden(k4_lattices(esk627_0,esk628_0,esk629_0),k18_filter_2(esk627_0,esk628_0))
| ~ m1_subset_1(k4_lattices(esk627_0,esk628_0,esk629_0),u1_struct_0(esk627_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_4303,c_0_4304]),c_0_4287]),c_0_4288]),c_0_4286])]),c_0_4289]) ).
cnf(c_0_4311,negated_conjecture,
m1_subset_1(k4_lattices(esk627_0,esk628_0,esk629_0),u1_struct_0(esk627_0)),
inference(spm,[status(thm)],[c_0_4305,c_0_4286]) ).
cnf(c_0_4312,negated_conjecture,
r3_lattices(esk627_0,k4_lattices(esk627_0,esk629_0,esk628_0),esk628_0),
inference(spm,[status(thm)],[c_0_4306,c_0_4293]) ).
cnf(c_0_4313,plain,
( m1_subset_1(k4_lattices(esk627_0,X1,esk628_0),u1_struct_0(esk627_0))
| ~ m1_subset_1(X1,u1_struct_0(esk627_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4307,c_0_4300]),c_0_4287]),c_0_4288])]),c_0_4289]) ).
cnf(c_0_4314,negated_conjecture,
( ~ r2_hidden(k4_lattices(esk627_0,esk628_0,esk629_0),k18_filter_2(esk627_0,esk628_0))
| ~ r2_hidden(k4_lattices(esk627_0,esk629_0,esk628_0),k18_filter_2(esk627_0,esk628_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4308,c_0_4309])]) ).
cnf(c_0_4315,plain,
r2_hidden(k4_lattices(esk627_0,esk628_0,esk629_0),k18_filter_2(esk627_0,esk628_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4310,c_0_4311])]) ).
cnf(c_0_4316,plain,
( r2_hidden(k4_lattices(esk627_0,esk629_0,esk628_0),k18_filter_2(esk627_0,esk628_0))
| ~ m1_subset_1(k4_lattices(esk627_0,esk629_0,esk628_0),u1_struct_0(esk627_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_4303,c_0_4312]),c_0_4287]),c_0_4288]),c_0_4286])]),c_0_4289]) ).
cnf(c_0_4317,negated_conjecture,
m1_subset_1(k4_lattices(esk627_0,esk629_0,esk628_0),u1_struct_0(esk627_0)),
inference(spm,[status(thm)],[c_0_4313,c_0_4293]) ).
cnf(c_0_4318,negated_conjecture,
~ r2_hidden(k4_lattices(esk627_0,esk629_0,esk628_0),k18_filter_2(esk627_0,esk628_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4314,c_0_4315])]) ).
cnf(c_0_4319,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4316,c_0_4317])]),c_0_4318]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT305+4 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n007.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 : Wed Jun 29 07:56:43 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected SinE mode:
% 1.41/1.62 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.41/1.62 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.41/1.62 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.41/1.62 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 26.76/8.15 # ENIGMATIC: Solved by autoschedule-lgb:
% 26.76/8.15 # No SInE strategy applied
% 26.76/8.15 # Trying AutoSched0 for 148 seconds
% 26.76/8.15 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 26.76/8.15 # and selection function SelectCQIPrecWNTNp.
% 26.76/8.15 #
% 26.76/8.15 # Preprocessing time : 0.021 s
% 26.76/8.15 # Presaturation interreduction done
% 26.76/8.15
% 26.76/8.15 # Proof found!
% 26.76/8.15 # SZS status Theorem
% 26.76/8.15 # SZS output start CNFRefutation
% See solution above
% 26.76/8.15 # Training examples: 0 positive, 0 negative
% 26.76/8.15
% 26.76/8.15 # -------------------------------------------------
% 26.76/8.15 # User time : 1.636 s
% 26.76/8.15 # System time : 0.070 s
% 26.76/8.15 # Total time : 1.706 s
% 26.76/8.15 # Maximum resident set size: 7128 pages
% 26.76/8.15
%------------------------------------------------------------------------------