TSTP Solution File: HWV019-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : HWV019-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 : Wed May 31 12:12:58 EDT 2023
% Result : Unsatisfiable 0.16s 0.67s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 44 ( 14 unt; 0 def)
% Number of atoms : 97 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 97 ( 44 ~; 49 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 28 (; 28 !; 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(f74,axiom,
! [X_106] : p_LES_EQU_(X_106,X_106),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f134,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f136,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f137,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f141,plain,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f149,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(f162,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(f187,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(f220,plain,
! [X0,X1] :
( X0 = X1
| ~ p_LES_EQU_(X0,X1)
| ~ p_LES_EQU_(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f221,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(f222,plain,
! [X0,X1,X2] :
( ~ p_LES_EQU_(X0,X1)
| p_LES_EQU_(X2,X1)
| p_LES_EQU_(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f226,plain,
! [X0] : p_LES_EQU_(X0,X0),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f298,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f300,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f301,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(cnf_transformation,[status(esa)],[f137]) ).
fof(f304,plain,
! [X0,X1] :
( p_LES_EQU_(X0,X1)
| p_LES_EQU_(X1,X0) ),
inference(resolution,[status(thm)],[f222,f226]) ).
fof(f305,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(resolution,[status(thm)],[f304,f301]) ).
fof(f312,plain,
( spl0_0
<=> fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) ),
introduced(split_symbol_definition) ).
fof(f313,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( spl0_1
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f318,plain,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
inference(resolution,[status(thm)],[f305,f220]) ).
fof(f319,plain,
( spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f318,f312,f315]) ).
fof(f341,plain,
( spl0_3
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f412,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f313,f301]) ).
fof(f413,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f412,f226]) ).
fof(f414,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f413]) ).
fof(f584,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)],[f141,f162]) ).
fof(f585,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)],[f584,f149]) ).
fof(f586,plain,
( spl0_30
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f588,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| spl0_30 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,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)],[f585,f298]) ).
fof(f590,plain,
( spl0_1
| spl0_3
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f589,f315,f341,f586]) ).
fof(f615,plain,
( $false
| spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f588,f300]) ).
fof(f616,plain,
spl0_30,
inference(contradiction_clause,[status(thm)],[f615]) ).
fof(f827,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)],[f187,f149]) ).
fof(f829,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(resolution,[status(thm)],[f827,f298]) ).
fof(f830,plain,
( ~ spl0_3
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f829,f341,f586]) ).
fof(f833,plain,
$false,
inference(sat_refutation,[status(thm)],[f319,f414,f590,f616,f830]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.35 % Problem : HWV019-2 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.36 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.60 % Computer : n014.cluster.edu
% 0.12/0.60 % Model : x86_64 x86_64
% 0.12/0.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.60 % Memory : 8042.1875MB
% 0.12/0.60 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.60 % CPULimit : 300
% 0.12/0.60 % WCLimit : 300
% 0.12/0.60 % DateTime : Tue May 30 11:49:19 EDT 2023
% 0.12/0.60 % CPUTime :
% 0.12/0.61 % Drodi V3.5.1
% 0.16/0.67 % Refutation found
% 0.16/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.69 % Elapsed time: 0.082453 seconds
% 0.16/0.69 % CPU time: 0.226197 seconds
% 0.16/0.69 % Memory used: 29.103 MB
%------------------------------------------------------------------------------