TSTP Solution File: LAT356+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT356+1 : 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 : Sun Jul 17 04:30:15 EDT 2022
% Result : Theorem 8.14s 2.50s
% Output : CNFRefutation 8.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of clauses : 47 ( 20 unt; 11 nHn; 47 RR)
% Number of literals : 170 ( 10 equ; 116 neg)
% Maximal clause size : 23 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_181,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_181) ).
cnf(i_0_2,negated_conjecture,
l1_orders_2(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_2) ).
cnf(i_0_439,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/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_439) ).
cnf(i_0_178,plain,
( m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_178) ).
cnf(i_0_247,plain,
( v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_247) ).
cnf(i_0_254,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_254) ).
cnf(i_0_274,plain,
( v3_struct_0(X1)
| v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_274) ).
cnf(i_0_8,negated_conjecture,
v2_orders_2(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_8) ).
cnf(i_0_273,plain,
( v3_struct_0(X1)
| v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_273) ).
cnf(i_0_160,plain,
( X1 = k1_waybel34(X2,X3,X4)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(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)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(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/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_160) ).
cnf(i_0_3,negated_conjecture,
v3_lattice3(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
v2_lattice3(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v1_lattice3(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
v4_orders_2(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
v3_orders_2(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_7) ).
cnf(i_0_162,plain,
( X1 = k2_waybel34(X2,X3,X4)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(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)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(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/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_162) ).
cnf(i_0_1,negated_conjecture,
( k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0)
| k2_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_1) ).
cnf(i_0_68,plain,
( ~ v1_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ba89ab6y/lgb.p',i_0_68) ).
cnf(c_0_458,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
i_0_181 ).
cnf(c_0_459,negated_conjecture,
l1_orders_2(esk1_0),
i_0_2 ).
cnf(c_0_460,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_439 ).
cnf(c_0_461,plain,
( m2_relset_1(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
i_0_178 ).
cnf(c_0_462,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_458,c_0_459]) ).
cnf(c_0_463,plain,
( v1_funct_2(k7_grcat_1(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
i_0_247 ).
cnf(c_0_464,plain,
( v1_funct_1(k7_grcat_1(X1))
| ~ l1_struct_0(X1) ),
i_0_254 ).
cnf(c_0_465,plain,
( v3_struct_0(X1)
| v17_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
i_0_274 ).
cnf(c_0_466,negated_conjecture,
v2_orders_2(esk1_0),
i_0_8 ).
cnf(c_0_467,plain,
( v3_struct_0(X1)
| v18_waybel_0(k7_grcat_1(X1),X1,X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
i_0_273 ).
cnf(c_0_468,plain,
( X1 = k1_waybel34(X2,X3,X4)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(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)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(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_160 ).
cnf(c_0_469,negated_conjecture,
( v3_struct_0(esk1_0)
| v3_waybel_1(k1_waybel_1(esk1_0,esk1_0,k7_grcat_1(esk1_0),k7_grcat_1(esk1_0)),esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_460,c_0_459]) ).
cnf(c_0_470,negated_conjecture,
m2_relset_1(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_461,c_0_462]) ).
cnf(c_0_471,negated_conjecture,
v1_funct_2(k7_grcat_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_463,c_0_459]) ).
cnf(c_0_472,negated_conjecture,
v1_funct_1(k7_grcat_1(esk1_0)),
inference(spm,[status(thm)],[c_0_464,c_0_462]) ).
cnf(c_0_473,negated_conjecture,
v3_lattice3(esk1_0),
i_0_3 ).
cnf(c_0_474,negated_conjecture,
v2_lattice3(esk1_0),
i_0_4 ).
cnf(c_0_475,negated_conjecture,
v1_lattice3(esk1_0),
i_0_5 ).
cnf(c_0_476,negated_conjecture,
v4_orders_2(esk1_0),
i_0_6 ).
cnf(c_0_477,negated_conjecture,
v3_orders_2(esk1_0),
i_0_7 ).
cnf(c_0_478,negated_conjecture,
( v3_struct_0(esk1_0)
| v17_waybel_0(k7_grcat_1(esk1_0),esk1_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_459]),c_0_466])]) ).
cnf(c_0_479,plain,
( X1 = k2_waybel34(X2,X3,X4)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(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)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(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_162 ).
cnf(c_0_480,negated_conjecture,
( v3_struct_0(esk1_0)
| v18_waybel_0(k7_grcat_1(esk1_0),esk1_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_459]),c_0_466])]) ).
cnf(c_0_481,negated_conjecture,
( k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0)
| k2_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) != k7_grcat_1(esk1_0) ),
i_0_1 ).
cnf(c_0_482,plain,
( k1_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) = k7_grcat_1(esk1_0)
| v3_struct_0(esk1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_469]),c_0_470]),c_0_471]),c_0_472]),c_0_459]),c_0_473]),c_0_474]),c_0_475]),c_0_476]),c_0_477]),c_0_466])]),c_0_478]) ).
cnf(c_0_483,plain,
( k2_waybel34(esk1_0,esk1_0,k7_grcat_1(esk1_0)) = k7_grcat_1(esk1_0)
| v3_struct_0(esk1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_469]),c_0_470]),c_0_471]),c_0_472]),c_0_459]),c_0_473]),c_0_474]),c_0_475]),c_0_476]),c_0_477]),c_0_466])]),c_0_480]) ).
cnf(c_0_484,plain,
( ~ v1_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v3_struct_0(X1) ),
i_0_68 ).
cnf(c_0_485,negated_conjecture,
v3_struct_0(esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_482]),c_0_483]) ).
cnf(c_0_486,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_485]),c_0_459]),c_0_475])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT356+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n011.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 : Thu Jun 30 09:26:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.14/2.50 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.14/2.50 # No SInE strategy applied
% 8.14/2.50 # Trying AutoSched0 for 150 seconds
% 8.14/2.50 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S007N
% 8.14/2.50 # and selection function PSelectLargestNegLit.
% 8.14/2.50 #
% 8.14/2.50 # Preprocessing time : 0.027 s
% 8.14/2.50 # Presaturation interreduction done
% 8.14/2.50
% 8.14/2.50 # Proof found!
% 8.14/2.50 # SZS status Theorem
% 8.14/2.50 # SZS output start CNFRefutation
% See solution above
% 8.14/2.50 # Training examples: 0 positive, 0 negative
% 8.14/2.50
% 8.14/2.50 # -------------------------------------------------
% 8.14/2.50 # User time : 0.057 s
% 8.14/2.50 # System time : 0.004 s
% 8.14/2.50 # Total time : 0.062 s
% 8.14/2.50 # Maximum resident set size: 7124 pages
% 8.14/2.50
%------------------------------------------------------------------------------