TSTP Solution File: LAT356+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT356+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 04:30:15 EDT 2022
% Result : Theorem 14.20s 5.65s
% Output : CNFRefutation 14.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of clauses : 49 ( 21 unt; 8 nHn; 49 RR)
% Number of literals : 182 ( 10 equ; 132 neg)
% Maximal clause size : 23 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_62,plain,
( ~ l1_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ v1_lattice3(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_62) ).
cnf(i_0_6346,negated_conjecture,
v1_lattice3(esk780_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_6346) ).
cnf(i_0_6343,negated_conjecture,
l1_orders_2(esk780_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_6343) ).
cnf(i_0_1946,plain,
( v3_struct_0(X1)
| v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_1946) ).
cnf(i_0_6137,plain,
( v3_struct_0(X1)
| v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_6137) ).
cnf(i_0_1998,plain,
( v3_struct_0(X1)
| v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_1998) ).
cnf(i_0_6349,negated_conjecture,
v2_orders_2(esk780_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_6349) ).
cnf(i_0_3302,plain,
( v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_partfun1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_3302) ).
cnf(i_0_1999,plain,
( v3_struct_0(X1)
| v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_1999) ).
cnf(i_0_832,plain,
( X1 = k2_waybel34(X2,X3,X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X1)
| ~ v18_waybel_0(X4,X3,X2)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_waybel_1(k1_waybel_1(X2,X3,X1,X4),X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_832) ).
cnf(i_0_6345,negated_conjecture,
v2_lattice3(esk780_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_6345) ).
cnf(i_0_6347,negated_conjecture,
v4_orders_2(esk780_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_6347) ).
cnf(i_0_6348,negated_conjecture,
v3_orders_2(esk780_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_6348) ).
cnf(i_0_6344,negated_conjecture,
v3_lattice3(esk780_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_6344) ).
cnf(i_0_678,plain,
( X1 = k1_waybel34(X2,X3,X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X4)
| ~ v17_waybel_0(X4,X2,X3)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_waybel_1(k1_waybel_1(X2,X3,X4,X1),X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_678) ).
cnf(i_0_6342,negated_conjecture,
( k1_waybel34(esk780_0,esk780_0,k7_grcat_1(esk780_0)) != k7_grcat_1(esk780_0)
| k2_waybel34(esk780_0,esk780_0,k7_grcat_1(esk780_0)) != k7_grcat_1(esk780_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_6342) ).
cnf(i_0_1366,plain,
( m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_1366) ).
cnf(i_0_1940,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_1940) ).
cnf(i_0_1392,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oxcjq0ts/lgb.p',i_0_1392) ).
cnf(c_0_6369,plain,
( ~ l1_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ v1_lattice3(X1) ),
i_0_62 ).
cnf(c_0_6370,negated_conjecture,
v1_lattice3(esk780_0),
i_0_6346 ).
cnf(c_0_6371,negated_conjecture,
l1_orders_2(esk780_0),
i_0_6343 ).
cnf(c_0_6372,plain,
( v3_struct_0(X1)
| v1_partfun1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
i_0_1946 ).
cnf(c_0_6373,negated_conjecture,
~ v3_struct_0(esk780_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6369,c_0_6370]),c_0_6371])]) ).
cnf(c_0_6374,plain,
( v3_struct_0(X1)
| v3_waybel_1(k1_waybel_1(X1,X1,k7_grcat_1(X1),k7_grcat_1(X1)),X1,X1)
| ~ l1_orders_2(X1) ),
i_0_6137 ).
cnf(c_0_6375,plain,
( v3_struct_0(X1)
| v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
i_0_1998 ).
cnf(c_0_6376,negated_conjecture,
v2_orders_2(esk780_0),
i_0_6349 ).
cnf(c_0_6377,plain,
( v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_partfun1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_3302 ).
cnf(c_0_6378,negated_conjecture,
v1_partfun1(k7_grcat_1(esk780_0),u1_struct_0(esk780_0),u1_struct_0(esk780_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6372,c_0_6371]),c_0_6373]) ).
cnf(c_0_6379,plain,
( v3_struct_0(X1)
| v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
i_0_1999 ).
cnf(c_0_6380,plain,
( X1 = k2_waybel34(X2,X3,X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X1)
| ~ v18_waybel_0(X4,X3,X2)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_waybel_1(k1_waybel_1(X2,X3,X1,X4),X2,X3) ),
i_0_832 ).
cnf(c_0_6381,negated_conjecture,
v3_waybel_1(k1_waybel_1(esk780_0,esk780_0,k7_grcat_1(esk780_0),k7_grcat_1(esk780_0)),esk780_0,esk780_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6374,c_0_6371]),c_0_6373]) ).
cnf(c_0_6382,negated_conjecture,
v18_waybel_0(k7_grcat_1(esk780_0),esk780_0,esk780_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6375,c_0_6376]),c_0_6371])]),c_0_6373]) ).
cnf(c_0_6383,negated_conjecture,
v2_lattice3(esk780_0),
i_0_6345 ).
cnf(c_0_6384,negated_conjecture,
v4_orders_2(esk780_0),
i_0_6347 ).
cnf(c_0_6385,negated_conjecture,
v3_orders_2(esk780_0),
i_0_6348 ).
cnf(c_0_6386,negated_conjecture,
v3_lattice3(esk780_0),
i_0_6344 ).
cnf(c_0_6387,plain,
( v1_funct_2(k7_grcat_1(esk780_0),u1_struct_0(esk780_0),u1_struct_0(esk780_0))
| ~ m2_relset_1(k7_grcat_1(esk780_0),u1_struct_0(esk780_0),u1_struct_0(esk780_0))
| ~ v1_funct_1(k7_grcat_1(esk780_0)) ),
inference(spm,[status(thm)],[c_0_6377,c_0_6378]) ).
cnf(c_0_6388,plain,
( X1 = k1_waybel34(X2,X3,X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X4)
| ~ v17_waybel_0(X4,X2,X3)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_waybel_1(k1_waybel_1(X2,X3,X4,X1),X2,X3) ),
i_0_678 ).
cnf(c_0_6389,negated_conjecture,
v17_waybel_0(k7_grcat_1(esk780_0),esk780_0,esk780_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6379,c_0_6376]),c_0_6371])]),c_0_6373]) ).
cnf(c_0_6390,negated_conjecture,
( k1_waybel34(esk780_0,esk780_0,k7_grcat_1(esk780_0)) != k7_grcat_1(esk780_0)
| k2_waybel34(esk780_0,esk780_0,k7_grcat_1(esk780_0)) != k7_grcat_1(esk780_0) ),
i_0_6342 ).
cnf(c_0_6391,negated_conjecture,
( k2_waybel34(esk780_0,esk780_0,k7_grcat_1(esk780_0)) = k7_grcat_1(esk780_0)
| ~ m2_relset_1(k7_grcat_1(esk780_0),u1_struct_0(esk780_0),u1_struct_0(esk780_0))
| ~ v1_funct_1(k7_grcat_1(esk780_0)) ),
inference(csr,[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6380,c_0_6381]),c_0_6382]),c_0_6383]),c_0_6370]),c_0_6384]),c_0_6385]),c_0_6386]),c_0_6376]),c_0_6371])]),c_0_6387]) ).
cnf(c_0_6392,negated_conjecture,
( k1_waybel34(esk780_0,esk780_0,k7_grcat_1(esk780_0)) = k7_grcat_1(esk780_0)
| ~ m2_relset_1(k7_grcat_1(esk780_0),u1_struct_0(esk780_0),u1_struct_0(esk780_0))
| ~ v1_funct_1(k7_grcat_1(esk780_0)) ),
inference(csr,[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6388,c_0_6381]),c_0_6389]),c_0_6383]),c_0_6370]),c_0_6384]),c_0_6385]),c_0_6386]),c_0_6376]),c_0_6371])]),c_0_6387]) ).
cnf(c_0_6393,negated_conjecture,
( ~ m2_relset_1(k7_grcat_1(esk780_0),u1_struct_0(esk780_0),u1_struct_0(esk780_0))
| ~ v1_funct_1(k7_grcat_1(esk780_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6390,c_0_6391]),c_0_6392]) ).
cnf(c_0_6394,plain,
( m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
i_0_1366 ).
cnf(c_0_6395,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_struct_0(X1) ),
i_0_1940 ).
cnf(c_0_6396,plain,
~ l1_struct_0(esk780_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6393,c_0_6394]),c_0_6395]) ).
cnf(c_0_6397,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
i_0_1392 ).
cnf(c_0_6398,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6396,c_0_6397]),c_0_6371])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT356+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 : n004.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 : Wed Jun 29 04:32:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.60/0.82 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.82 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.60/0.82 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.60/0.82 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 14.20/5.65 # ENIGMATIC: Solved by autoschedule-lgb:
% 14.20/5.65 # No SInE strategy applied
% 14.20/5.65 # Trying AutoSched0 for 149 seconds
% 14.20/5.65 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 14.20/5.65 # and selection function SelectComplexExceptUniqMaxHorn.
% 14.20/5.65 #
% 14.20/5.65 # Preprocessing time : 0.026 s
% 14.20/5.65 # Presaturation interreduction done
% 14.20/5.65
% 14.20/5.65 # Proof found!
% 14.20/5.65 # SZS status Theorem
% 14.20/5.65 # SZS output start CNFRefutation
% See solution above
% 14.20/5.65 # Training examples: 0 positive, 0 negative
% 14.20/5.65
% 14.20/5.65 # -------------------------------------------------
% 14.20/5.65 # User time : 0.124 s
% 14.20/5.65 # System time : 0.009 s
% 14.20/5.65 # Total time : 0.133 s
% 14.20/5.65 # Maximum resident set size: 7124 pages
% 14.20/5.65
%------------------------------------------------------------------------------