TSTP Solution File: HWV020-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : HWV020-3 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:21:59 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 50 ( 21 unt; 0 def)
% Number of atoms : 103 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 93 ( 40 ~; 48 |; 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 : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [T_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [T_4] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_4))
| fwork_DOTfifo_DOTrtl_DOTint__level_(T_4) = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [Y_91,X_90] :
( ~ p_LES_EQU_(f_ADD_(Y_91,n1),f_ADD_(X_90,n1))
| p_LES_EQU_(Y_91,X_90) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [X_106] : p_LES_EQU_(X_106,X_106),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,axiom,
! [X_109] : f_ADD_(n0,X_109) = X_109,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f134,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f136,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f137,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f138,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/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(f146,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0 ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f181,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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)],[f36]) ).
fof(f197,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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)],[f48]) ).
fof(f217,plain,
! [X0,X1] :
( ~ p_LES_EQU_(f_ADD_(X0,n1),f_ADD_(X1,n1))
| p_LES_EQU_(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f227,plain,
! [X0] : p_LES_EQU_(X0,X0),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f229,plain,
! [X0] : f_ADD_(n0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f299,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[status(esa)],[f134]) ).
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_DOTempty_(t_206)),
inference(cnf_transformation,[status(esa)],[f137]) ).
fof(f303,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(esa)],[f138]) ).
fof(f309,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0,
inference(resolution,[status(thm)],[f146,f302]) ).
fof(f324,plain,
( spl0_3
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f326,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| spl0_3 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( spl0_4
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f328,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f332,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f328,f301]) ).
fof(f333,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f332]) ).
fof(f342,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
inference(backward_demodulation,[status(thm)],[f142,f309]) ).
fof(f361,plain,
! [X0] :
( ~ p_LES_EQU_(f_ADD_(X0,n1),n1)
| p_LES_EQU_(X0,n0) ),
inference(paramodulation,[status(thm)],[f229,f217]) ).
fof(f494,plain,
( spl0_29
<=> p_LES_EQU_(n1,n1) ),
introduced(split_symbol_definition) ).
fof(f496,plain,
( ~ p_LES_EQU_(n1,n1)
| spl0_29 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( spl0_30
<=> p_LES_EQU_(n0,n0) ),
introduced(split_symbol_definition) ).
fof(f500,plain,
( ~ p_LES_EQU_(n1,n1)
| p_LES_EQU_(n0,n0) ),
inference(paramodulation,[status(thm)],[f229,f361]) ).
fof(f501,plain,
( ~ spl0_29
| spl0_30 ),
inference(split_clause,[status(thm)],[f500,f494,f497]) ).
fof(f502,plain,
( $false
| spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f496,f227]) ).
fof(f503,plain,
spl0_29,
inference(contradiction_clause,[status(thm)],[f502]) ).
fof(f602,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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,f181]) ).
fof(f608,plain,
( spl0_42
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))) ),
introduced(split_symbol_definition) ).
fof(f609,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1)))
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f613,plain,
( $false
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f609,f303]) ).
fof(f614,plain,
~ spl0_42,
inference(contradiction_clause,[status(thm)],[f613]) ).
fof(f623,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(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,f197]) ).
fof(f624,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X0),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f623,f602]) ).
fof(f627,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1)))
| ~ p_LES_EQU_(n0,n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(paramodulation,[status(thm)],[f342,f624]) ).
fof(f628,plain,
( spl0_42
| ~ spl0_30
| ~ spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f627,f608,f497,f324,f327]) ).
fof(f629,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f326,f299]) ).
fof(f630,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f629]) ).
fof(f631,plain,
$false,
inference(sat_refutation,[status(thm)],[f333,f501,f503,f614,f628,f630]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV020-3 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n005.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 01:06:56 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.031296 seconds
% 0.13/0.38 % CPU time: 0.065576 seconds
% 0.13/0.38 % Total memory used: 16.881 MB
% 0.13/0.38 % Net memory used: 16.856 MB
%------------------------------------------------------------------------------