TSTP Solution File: HWV012-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : HWV012-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 : 300s
% DateTime : Tue Apr 30 20:21:56 EDT 2024
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 57 ( 16 unt; 0 def)
% Number of atoms : 123 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 114 ( 48 ~; 60 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [T_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [T_5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_5,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [T_13] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [T_13] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,axiom,
! [X_96,Y_97] :
( X_96 = Y_97
| ~ p_LES_EQU_(X_96,Y_97)
| ~ p_LES_EQU_(Y_97,X_96) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [Z_100,X_98,Y_99] :
( ~ p_LES_EQU_(Z_100,X_98)
| p_LES_EQU_(Y_99,X_98)
| p_LES_EQU_(Z_100,Y_99) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,axiom,
! [X_103] :
( ~ p_LES_EQU_(X_103,n0)
| X_103 = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [X_106] : p_LES_EQU_(X_106,X_106),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f134,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f135,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f136,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f140,plain,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f148,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f161,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f186,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f219,plain,
! [X0,X1] :
( X0 = X1
| ~ p_LES_EQU_(X0,X1)
| ~ p_LES_EQU_(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f220,plain,
! [Z_100,Y_99] :
( ! [X_98] :
( ~ p_LES_EQU_(Z_100,X_98)
| p_LES_EQU_(Y_99,X_98) )
| p_LES_EQU_(Z_100,Y_99) ),
inference(miniscoping,[status(esa)],[f70]) ).
fof(f221,plain,
! [X0,X1,X2] :
( ~ p_LES_EQU_(X0,X1)
| p_LES_EQU_(X2,X1)
| p_LES_EQU_(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f220]) ).
fof(f223,plain,
! [X0] :
( ~ p_LES_EQU_(X0,n0)
| X0 = n0 ),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f225,plain,
! [X0] : p_LES_EQU_(X0,X0),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f297,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f298,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[status(esa)],[f135]) ).
fof(f299,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f306,plain,
! [X0,X1] :
( p_LES_EQU_(X0,X1)
| p_LES_EQU_(X1,X0) ),
inference(resolution,[status(thm)],[f221,f225]) ).
fof(f307,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(resolution,[status(thm)],[f306,f297]) ).
fof(f313,plain,
! [X0] :
( p_LES_EQU_(X0,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),X0) ),
inference(resolution,[status(thm)],[f307,f221]) ).
fof(f314,plain,
( spl0_0
<=> fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
introduced(split_symbol_definition) ).
fof(f315,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( spl0_1
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f320,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
inference(resolution,[status(thm)],[f307,f219]) ).
fof(f321,plain,
( spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f320,f314,f317]) ).
fof(f334,plain,
! [X0,X1] :
( p_LES_EQU_(X0,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| p_LES_EQU_(X1,X0)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),X1) ),
inference(resolution,[status(thm)],[f313,f221]) ).
fof(f342,plain,
( spl0_3
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f352,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(forward_demodulation,[status(thm)],[f140,f161]) ).
fof(f353,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f352,f148]) ).
fof(f354,plain,
( spl0_5
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f356,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| spl0_5 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(resolution,[status(thm)],[f353,f299]) ).
fof(f358,plain,
( spl0_1
| spl0_3
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f357,f317,f342,f354]) ).
fof(f359,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f356,f298]) ).
fof(f360,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f359]) ).
fof(f394,plain,
! [X0] :
( X0 = n0
| p_LES_EQU_(n0,X0) ),
inference(resolution,[status(thm)],[f223,f306]) ).
fof(f457,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f315,f297]) ).
fof(f458,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f457,f225]) ).
fof(f459,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f458]) ).
fof(f484,plain,
( spl0_26
<=> n0 = n0 ),
introduced(split_symbol_definition) ).
fof(f591,plain,
! [X0] :
( X0 = n0
| n0 = X0
| ~ p_LES_EQU_(X0,n0) ),
inference(resolution,[status(thm)],[f394,f219]) ).
fof(f592,plain,
! [X0] :
( X0 = n0
| ~ p_LES_EQU_(X0,n0) ),
inference(duplicate_literals_removal,[status(esa)],[f591]) ).
fof(f593,plain,
( n0 = n0
| n0 = n0 ),
inference(resolution,[status(thm)],[f592,f394]) ).
fof(f594,plain,
spl0_26,
inference(split_clause,[status(thm)],[f593,f484]) ).
fof(f798,plain,
( spl0_48
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
introduced(split_symbol_definition) ).
fof(f1062,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
inference(resolution,[status(thm)],[f334,f297]) ).
fof(f1063,plain,
spl0_48,
inference(split_clause,[status(thm)],[f1062,f798]) ).
fof(f1205,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f186,f148]) ).
fof(f1207,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(resolution,[status(thm)],[f1205,f299]) ).
fof(f1208,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f1207,f342,f354]) ).
fof(f1211,plain,
$false,
inference(sat_refutation,[status(thm)],[f321,f358,f360,f459,f594,f1063,f1208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV012-2 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 01:18:48 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.41 % Elapsed time: 0.062028 seconds
% 0.19/0.41 % CPU time: 0.334719 seconds
% 0.19/0.41 % Total memory used: 68.164 MB
% 0.19/0.41 % Net memory used: 67.961 MB
%------------------------------------------------------------------------------