TSTP Solution File: HWV021-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : HWV021-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 54 ( 14 unt; 0 def)
% Number of atoms : 121 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 120 ( 53 ~; 61 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 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(f7,axiom,
! [T_3] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3))
| fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) != n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [T_5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_5,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [X_81] : ~ p_LES_EQU_(f_ADD_(X_81,n1),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [Y_93,X_92] :
( Y_93 = X_92
| ~ p_LES_EQU_(X_92,Y_93)
| p_LES_EQU_(f_ADD_(X_92,n1),Y_93) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,axiom,
! [X_103] :
( ~ p_LES_EQU_(X_103,n0)
| X_103 = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f134,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f136,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f137,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(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(f144,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f150,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f177,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)],[f33]) ).
fof(f193,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)],[f45]) ).
fof(f210,plain,
! [X0] : ~ p_LES_EQU_(f_ADD_(X0,n1),n0),
inference(cnf_transformation,[status(esa)],[f59]) ).
fof(f218,plain,
! [X0,X1] :
( X0 = X1
| ~ p_LES_EQU_(X1,X0)
| p_LES_EQU_(f_ADD_(X1,n1),X0) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f224,plain,
! [X0] :
( ~ p_LES_EQU_(X0,n0)
| X0 = n0 ),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f298,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f300,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f301,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(cnf_transformation,[status(esa)],[f137]) ).
fof(f312,plain,
( spl0_1
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f314,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| spl0_1 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( spl0_2
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
introduced(split_symbol_definition) ).
fof(f322,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)) ),
inference(forward_subsumption_resolution,[status(thm)],[f177,f150]) ).
fof(f323,plain,
( spl0_3
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
introduced(split_symbol_definition) ).
fof(f324,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(resolution,[status(thm)],[f322,f298]) ).
fof(f327,plain,
( spl0_3
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f326,f323,f312,f315]) ).
fof(f337,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0))
| fwork_DOTfifo_DOTrtl_DOTlevel_(X0) != n0 ),
inference(backward_demodulation,[status(thm)],[f141,f144]) ).
fof(f518,plain,
( spl0_31
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0) ),
introduced(split_symbol_definition) ).
fof(f519,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f536,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f141,f324]) ).
fof(f550,plain,
( spl0_35
<=> n0 = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) ),
introduced(split_symbol_definition) ).
fof(f551,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( spl0_36
<=> p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),n0) ),
introduced(split_symbol_definition) ).
fof(f554,plain,
( p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),n0)
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)
| p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),n0)
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f519,f218]) ).
fof(f557,plain,
( spl0_35
| spl0_36
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f556,f550,f553,f518]) ).
fof(f567,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)],[f141,f193]) ).
fof(f568,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)) ),
inference(forward_subsumption_resolution,[status(thm)],[f567,f150]) ).
fof(f569,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)) ),
inference(resolution,[status(thm)],[f568,f298]) ).
fof(f570,plain,
( spl0_31
| ~ spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f569,f518,f312,f315]) ).
fof(f649,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f551,f337]) ).
fof(f650,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f649,f301]) ).
fof(f651,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f650]) ).
fof(f665,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f536,f224]) ).
fof(f666,plain,
( spl0_35
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f665,f550,f323]) ).
fof(f671,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f554,f210]) ).
fof(f672,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f314,f300]) ).
fof(f675,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f674]) ).
fof(f676,plain,
$false,
inference(sat_refutation,[status(thm)],[f327,f557,f570,f651,f666,f672,f675]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HWV021-2 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:08:20 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.41 % Elapsed time: 0.040382 seconds
% 0.21/0.41 % CPU time: 0.118499 seconds
% 0.21/0.41 % Total memory used: 27.094 MB
% 0.21/0.41 % Net memory used: 27.053 MB
%------------------------------------------------------------------------------