TSTP Solution File: HWV018-2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : HWV018-2 : 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 20:21:58 EDT 2024
% Result : Unsatisfiable 0.21s 0.44s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 18 unt; 0 def)
% Number of atoms : 111 ( 23 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 98 ( 37 ~; 57 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 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(f5,axiom,
! [T_1] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(T_1) != fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [T_2] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2))
| fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [T_13] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)
| ~ 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/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [T_13] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = 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/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [X_106] : p_LES_EQU_(X_106,X_106),
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(f135,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(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(f138,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(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(f143,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f144,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f164,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0)
| ~ 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)],[f22]) ).
fof(f200,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = 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)],[f50]) ).
fof(f227,plain,
! [X0] : p_LES_EQU_(X0,X0),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f299,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f300,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(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(f303,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(esa)],[f138]) ).
fof(f304,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0))
| fwork_DOTfifo_DOTrtl_DOTlevel_(X0) != fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(forward_demodulation,[status(thm)],[f142,f143]) ).
fof(f305,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0))
| fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(forward_demodulation,[status(thm)],[f142,f144]) ).
fof(f317,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0)
| ~ 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(forward_demodulation,[status(thm)],[f142,f164]) ).
fof(f318,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X0)
| ~ 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(forward_demodulation,[status(thm)],[f142,f317]) ).
fof(f319,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X0)
| ~ 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)],[f142,f318]) ).
fof(f358,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = 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(forward_demodulation,[status(thm)],[f142,f200]) ).
fof(f359,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = 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)],[f142,f358]) ).
fof(f374,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X0)
| ~ 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_DOTreset_(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f319,f359]) ).
fof(f379,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(resolution,[status(thm)],[f305,f300]) ).
fof(f391,plain,
( spl0_2
<=> fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) ),
introduced(split_symbol_definition) ).
fof(f392,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f400,plain,
( spl0_5
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f401,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f408,plain,
( spl0_7
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f409,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f418,plain,
( spl0_9
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
introduced(split_symbol_definition) ).
fof(f420,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| spl0_9 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(paramodulation,[status(thm)],[f379,f374]) ).
fof(f422,plain,
( spl0_2
| ~ spl0_9
| spl0_7
| spl0_5 ),
inference(split_clause,[status(thm)],[f421,f391,f418,f408,f400]) ).
fof(f423,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f420,f227]) ).
fof(f424,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f423]) ).
fof(f425,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f401,f301]) ).
fof(f426,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f425]) ).
fof(f427,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f379,f392]) ).
fof(f428,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f409,f299]) ).
fof(f429,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f428]) ).
fof(f430,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1)))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f427,f304]) ).
fof(f431,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f303]) ).
fof(f432,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f431]) ).
fof(f433,plain,
$false,
inference(sat_refutation,[status(thm)],[f422,f424,f426,f429,f432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : HWV018-2 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 01:43:02 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 0.21/0.44 % Refutation found
% 0.21/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.46 % Elapsed time: 0.095006 seconds
% 0.21/0.46 % CPU time: 0.586559 seconds
% 0.21/0.46 % Total memory used: 71.568 MB
% 0.21/0.46 % Net memory used: 71.280 MB
%------------------------------------------------------------------------------