TSTP Solution File: HWV014-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : HWV014-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 0.21s 0.48s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 17 unt; 0 def)
% Number of atoms : 74 ( 9 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 25 ~; 34 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 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 : 7 ( 7 !; 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(f42,axiom,
! [T_13] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)
| ~ 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(f134,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
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_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f137,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f138,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f142,plain,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f190,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ~ 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)],[f42]) ).
fof(f299,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f300,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[status(esa)],[f135]) ).
fof(f301,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f302,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[status(esa)],[f137]) ).
fof(f303,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
inference(cnf_transformation,[status(esa)],[f138]) ).
fof(f428,plain,
( spl0_23
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0) ),
introduced(split_symbol_definition) ).
fof(f429,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f1115,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ~ 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)],[f142,f190]) ).
fof(f1116,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(X0),n1)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ~ 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)],[f142,f1115]) ).
fof(f1117,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(X0),n1)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X0),n0)
| ~ 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)],[f142,f1116]) ).
fof(f1118,plain,
( spl0_48
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f1120,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| spl0_48 ),
inference(component_clause,[status(thm)],[f1118]) ).
fof(f1121,plain,
( spl0_49
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f1122,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,plain,
( spl0_50
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f1125,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1127,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(resolution,[status(thm)],[f1117,f303]) ).
fof(f1128,plain,
( spl0_23
| ~ spl0_48
| spl0_49
| spl0_50 ),
inference(split_clause,[status(thm)],[f1127,f428,f1118,f1121,f1124]) ).
fof(f1149,plain,
( $false
| spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f1120,f302]) ).
fof(f1150,plain,
spl0_48,
inference(contradiction_clause,[status(thm)],[f1149]) ).
fof(f1151,plain,
( $false
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1122,f300]) ).
fof(f1152,plain,
~ spl0_49,
inference(contradiction_clause,[status(thm)],[f1151]) ).
fof(f1153,plain,
( $false
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f1125,f301]) ).
fof(f1154,plain,
~ spl0_50,
inference(contradiction_clause,[status(thm)],[f1153]) ).
fof(f1155,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f429,f299]) ).
fof(f1156,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f1155]) ).
fof(f1157,plain,
$false,
inference(sat_refutation,[status(thm)],[f1128,f1150,f1152,f1154,f1156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.16 % Problem : HWV014-2 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.16 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.38 % Computer : n027.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8042.1875MB
% 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Tue Apr 30 01:42:17 EDT 2024
% 0.13/0.38 % CPUTime :
% 0.21/0.40 % Drodi V3.6.0
% 0.21/0.48 % Refutation found
% 0.21/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.50 % Elapsed time: 0.094449 seconds
% 0.21/0.50 % CPU time: 0.574308 seconds
% 0.21/0.50 % Total memory used: 71.527 MB
% 0.21/0.50 % Net memory used: 70.916 MB
%------------------------------------------------------------------------------