TSTP Solution File: LAT346+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT346+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 04:30:04 EDT 2022
% Result : Theorem 11.72s 5.33s
% Output : CNFRefutation 11.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of clauses : 45 ( 8 unt; 29 nHn; 45 RR)
% Number of literals : 170 ( 0 equ; 80 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1404,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_filter_1(X2,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1)
| ~ v3_lattice4(X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_1404) ).
cnf(i_0_4747,plain,
( v3_conlat_1(X1)
| v3_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_4747) ).
cnf(i_0_1692,plain,
( v3_conlat_1(X1)
| m1_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_1692) ).
cnf(i_0_2440,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_2440) ).
cnf(i_0_5993,plain,
( v3_conlat_1(X1)
| l3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_5993) ).
cnf(i_0_5995,plain,
( v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_5995) ).
cnf(i_0_5996,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_5996) ).
cnf(i_0_1842,plain,
( v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_1842) ).
cnf(i_0_1844,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_1844) ).
cnf(i_0_1728,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_1728) ).
cnf(i_0_3747,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_filter_1(X1,X2)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_3747) ).
cnf(i_0_4793,negated_conjecture,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk673_0)),k1_lattice2(k11_conlat_1(esk673_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_4793) ).
cnf(i_0_4794,negated_conjecture,
l2_conlat_1(esk673_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_4794) ).
cnf(i_0_4795,negated_conjecture,
~ v3_conlat_1(esk673_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_4795) ).
cnf(i_0_2073,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gp67x68o/lgb.p',i_0_2073) ).
cnf(c_0_6012,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_filter_1(X2,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1)
| ~ v3_lattice4(X3,X2,X1) ),
i_0_1404 ).
cnf(c_0_6013,plain,
( v3_conlat_1(X1)
| v3_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
| ~ l2_conlat_1(X1) ),
i_0_4747 ).
cnf(c_0_6014,plain,
( v3_conlat_1(X1)
| m1_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
| ~ l2_conlat_1(X1) ),
i_0_1692 ).
cnf(c_0_6015,plain,
( v3_conlat_1(X1)
| v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X1)))
| r1_filter_1(k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
| ~ l2_conlat_1(X1)
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X1)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X1)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X1)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6012,c_0_6013]),c_0_6014]) ).
cnf(c_0_6016,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_2440 ).
cnf(c_0_6017,plain,
( v3_conlat_1(X1)
| l3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
i_0_5993 ).
cnf(c_0_6018,plain,
( v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
i_0_5995 ).
cnf(c_0_6019,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
i_0_5996 ).
cnf(c_0_6020,plain,
( v3_conlat_1(X1)
| v3_struct_0(k1_lattice2(k11_conlat_1(X1)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
| r1_filter_1(k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
| ~ l2_conlat_1(X1)
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X1)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X1)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6015,c_0_6016]),c_0_6017]),c_0_6018]),c_0_6019]) ).
cnf(c_0_6021,plain,
( v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
i_0_1842 ).
cnf(c_0_6022,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1)) ),
i_0_1844 ).
cnf(c_0_6023,plain,
( v3_conlat_1(X1)
| v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X1)))
| r1_filter_1(k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
| ~ l2_conlat_1(X1)
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6020,c_0_6018]),c_0_6017]),c_0_6021]),c_0_6022]) ).
cnf(c_0_6024,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_1728 ).
cnf(c_0_6025,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_filter_1(X1,X2)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X2,X1) ),
i_0_3747 ).
cnf(c_0_6026,plain,
( v3_conlat_1(X1)
| v3_struct_0(k1_lattice2(k11_conlat_1(X1)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
| r1_filter_1(k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6023,c_0_6024]),c_0_6017]) ).
cnf(c_0_6027,plain,
( v3_conlat_1(X1)
| v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X1)))
| r1_filter_1(k11_conlat_1(k7_conlat_2(X1)),k1_lattice2(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1)
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X1)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X1)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X1)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X1))) ),
inference(spm,[status(thm)],[c_0_6025,c_0_6026]) ).
cnf(c_0_6028,plain,
( v3_conlat_1(X1)
| v3_struct_0(k1_lattice2(k11_conlat_1(X1)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
| r1_filter_1(k11_conlat_1(k7_conlat_2(X1)),k1_lattice2(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1)
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X1)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X1)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6027,c_0_6016]),c_0_6017]),c_0_6018]),c_0_6019]) ).
cnf(c_0_6029,plain,
( v3_conlat_1(X1)
| v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X1)))
| r1_filter_1(k11_conlat_1(k7_conlat_2(X1)),k1_lattice2(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1)
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6028,c_0_6018]),c_0_6017]),c_0_6021]),c_0_6022]) ).
cnf(c_0_6030,negated_conjecture,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk673_0)),k1_lattice2(k11_conlat_1(esk673_0))),
i_0_4793 ).
cnf(c_0_6031,plain,
( v3_conlat_1(X1)
| v3_struct_0(k1_lattice2(k11_conlat_1(X1)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
| r1_filter_1(k11_conlat_1(k7_conlat_2(X1)),k1_lattice2(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6029,c_0_6024]),c_0_6017]) ).
cnf(c_0_6032,negated_conjecture,
l2_conlat_1(esk673_0),
i_0_4794 ).
cnf(c_0_6033,negated_conjecture,
~ v3_conlat_1(esk673_0),
i_0_4795 ).
cnf(c_0_6034,negated_conjecture,
( v3_struct_0(k11_conlat_1(k7_conlat_2(esk673_0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(esk673_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6030,c_0_6031]),c_0_6032])]),c_0_6033]) ).
cnf(c_0_6035,plain,
( v3_conlat_1(k7_conlat_2(esk673_0))
| v3_struct_0(k1_lattice2(k11_conlat_1(esk673_0)))
| ~ l2_conlat_1(k7_conlat_2(esk673_0)) ),
inference(spm,[status(thm)],[c_0_6019,c_0_6034]) ).
cnf(c_0_6036,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_2073 ).
cnf(c_0_6037,plain,
( v3_conlat_1(k7_conlat_2(esk673_0))
| v3_struct_0(k1_lattice2(k11_conlat_1(esk673_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6035,c_0_6021]),c_0_6032])]),c_0_6033]) ).
cnf(c_0_6038,plain,
( v3_conlat_1(k7_conlat_2(esk673_0))
| v3_struct_0(k11_conlat_1(esk673_0))
| ~ l3_lattices(k11_conlat_1(esk673_0)) ),
inference(spm,[status(thm)],[c_0_6036,c_0_6037]) ).
cnf(c_0_6039,plain,
( v3_conlat_1(k7_conlat_2(esk673_0))
| v3_struct_0(k11_conlat_1(esk673_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6038,c_0_6017]),c_0_6032])]),c_0_6033]) ).
cnf(c_0_6040,plain,
v3_struct_0(k11_conlat_1(esk673_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6022,c_0_6039]),c_0_6032])]),c_0_6033]) ).
cnf(c_0_6041,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6019,c_0_6040]),c_0_6032])]),c_0_6033]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LAT346+3 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jun 28 21:19:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.44 # ENIGMATIC: Selected SinE mode:
% 0.84/1.07 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/1.07 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.84/1.07 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.84/1.07 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.72/5.33 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.72/5.33 # No SInE strategy applied
% 11.72/5.33 # Trying AutoSched0 for 149 seconds
% 11.72/5.33 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 11.72/5.33 # and selection function SelectNewComplexAHP.
% 11.72/5.33 #
% 11.72/5.33 # Preprocessing time : 0.032 s
% 11.72/5.33 # Presaturation interreduction done
% 11.72/5.33
% 11.72/5.33 # Proof found!
% 11.72/5.33 # SZS status Theorem
% 11.72/5.33 # SZS output start CNFRefutation
% See solution above
% 11.72/5.33 # Training examples: 0 positive, 0 negative
% 11.72/5.33
% 11.72/5.33 # -------------------------------------------------
% 11.72/5.33 # User time : 0.060 s
% 11.72/5.33 # System time : 0.012 s
% 11.72/5.33 # Total time : 0.072 s
% 11.72/5.33 # Maximum resident set size: 7128 pages
% 11.72/5.33
%------------------------------------------------------------------------------