TSTP Solution File: HWV019-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : 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 : 300s
% DateTime : Tue Apr 30 20:21:58 EDT 2024
% Result : Unsatisfiable 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 49 ( 15 unt; 0 def)
% Number of atoms : 107 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 102 ( 44 ~; 53 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 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(f307,plain,
! [X0,X1] :
( p_LES_EQU_(X0,X1)
| p_LES_EQU_(X1,X0) ),
inference(resolution,[status(thm)],[f222,f226]) ).
fof(f308,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(resolution,[status(thm)],[f307,f301]) ).
fof(f314,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)],[f308,f222]) ).
fof(f315,plain,
( spl0_0
<=> fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
introduced(split_symbol_definition) ).
fof(f316,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( spl0_1
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f321,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)],[f308,f220]) ).
fof(f322,plain,
( spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f321,f315,f318]) ).
fof(f335,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)],[f314,f222]) ).
fof(f344,plain,
( spl0_3
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f415,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f316,f301]) ).
fof(f416,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f415,f226]) ).
fof(f417,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f416]) ).
fof(f590,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(f591,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)],[f590,f149]) ).
fof(f592,plain,
( spl0_30
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f594,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| spl0_30 ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,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)],[f591,f298]) ).
fof(f596,plain,
( spl0_1
| spl0_3
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f595,f318,f344,f592]) ).
fof(f621,plain,
( $false
| spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f594,f300]) ).
fof(f622,plain,
spl0_30,
inference(contradiction_clause,[status(thm)],[f621]) ).
fof(f775,plain,
( spl0_49
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
introduced(split_symbol_definition) ).
fof(f979,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)],[f335,f301]) ).
fof(f980,plain,
spl0_49,
inference(split_clause,[status(thm)],[f979,f775]) ).
fof(f1150,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(f1152,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(resolution,[status(thm)],[f1150,f298]) ).
fof(f1153,plain,
( ~ spl0_3
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f1152,f344,f592]) ).
fof(f1158,plain,
$false,
inference(sat_refutation,[status(thm)],[f322,f417,f596,f622,f980,f1153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : HWV019-2 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 01:35:33 EDT 2024
% 0.19/0.35 % CPUTime :
% 0.19/0.36 % Drodi V3.6.0
% 0.19/0.39 % Refutation found
% 0.19/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.40 % Elapsed time: 0.050708 seconds
% 0.19/0.40 % CPU time: 0.231947 seconds
% 0.19/0.40 % Total memory used: 53.421 MB
% 0.19/0.40 % Net memory used: 53.203 MB
%------------------------------------------------------------------------------