%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV016-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:45:58 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.52s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 64
% Syntax : Number of formulae : 251 ( 49 unt; 36 def)
% Number of atoms : 564 ( 123 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 537 ( 224 ~; 277 |; 0 &)
% ( 36 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 37 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-2 aty)
% Number of variables : 103 ( 103 !; 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(f8,axiom,
! [T_4] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_4) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [X_80] : f_ADD_(X_80,n1) != n0,
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(f61,axiom,
! [Y_84,X_83,Z_85] :
( f_SUB_(X_83,Y_84) != Z_85
| f_ADD_(Z_85,Y_84) = X_83
| def_89(Y_84,X_83) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,axiom,
! [X_83,Y_84] :
( ~ def_89(Y_84,X_83)
| X_83 != Y_84 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [Y_91,X_90] :
( p_LES_EQU_(Y_91,X_90)
| ~ p_LES_EQU_(f_ADD_(Y_91,n1),f_ADD_(X_90,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [Y_93,X_92] :
( p_LES_EQU_(f_ADD_(X_92,n1),Y_93)
| ~ p_LES_EQU_(X_92,Y_93)
| Y_93 = X_92 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,axiom,
! [X_96,Y_97] :
( ~ p_LES_EQU_(Y_97,X_96)
| ~ p_LES_EQU_(X_96,Y_97)
| X_96 = Y_97 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [Z_100,X_98,Y_99] :
( p_LES_EQU_(Z_100,Y_99)
| p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [X_101,Y_102] :
( p_LES_EQU_(Y_102,X_101)
| ~ p_LES_EQU_(Y_102,f_ADD_(X_101,n1))
| f_ADD_(X_101,n1) = Y_102 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,axiom,
! [X_103] :
( X_103 = n0
| ~ p_LES_EQU_(X_103,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [X_104] :
( X_104 = n0
| X_104 = f_ADD_(y_105(X_104),n1) ),
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(f75,axiom,
! [X_107,Y_108] :
( f_ADD_(X_107,n1) != f_ADD_(Y_108,n1)
| X_107 = Y_108 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,axiom,
! [X_109] : f_ADD_(n0,X_109) = X_109,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,axiom,
! [B_156,A_155] :
( ~ p__pred_(f__equiv_(A_155,B_156))
| p__pred_(A_155)
| ~ p__pred_(B_156) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [B_156,A_155] :
( p__pred_(f__equiv_(A_155,B_156))
| ~ p__pred_(A_155)
| ~ p__pred_(B_156) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f116,axiom,
! [A_181,B_182] :
( p__pred_(f__nand_(A_181,B_182))
| p__pred_(A_181) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f134,negated_conjecture,
p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f135,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
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__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f138,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
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(thm)],[f4]) ).
fof(f146,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f157,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f164,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f174,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f180,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f210,plain,
! [X0] : f_ADD_(X0,n1) != n0,
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f211,plain,
! [X0] : ~ p_LES_EQU_(f_ADD_(X0,n1),n0),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f213,plain,
! [X0,X1,X2] :
( f_SUB_(X1,X0) != X2
| f_ADD_(X2,X0) = X1
| def_89(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f215,plain,
! [X0,X1] :
( ~ def_89(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f217,plain,
! [X0,X1] :
( p_LES_EQU_(X0,X1)
| ~ p_LES_EQU_(f_ADD_(X0,n1),f_ADD_(X1,n1)) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f219,plain,
! [X0,X1] :
( p_LES_EQU_(f_ADD_(X1,n1),X0)
| ~ p_LES_EQU_(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f221,plain,
! [X0,X1] :
( ~ p_LES_EQU_(X1,X0)
| ~ p_LES_EQU_(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f222,plain,
! [Z_100,Y_99] :
( p_LES_EQU_(Z_100,Y_99)
| ! [X_98] :
( p_LES_EQU_(Y_99,X_98)
| ~ p_LES_EQU_(Z_100,X_98) ) ),
inference(miniscoping,[status(thm)],[f70]) ).
fof(f223,plain,
! [X0,X1,X2] :
( p_LES_EQU_(X0,X2)
| p_LES_EQU_(X2,X1)
| ~ p_LES_EQU_(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f224,plain,
! [X0,X1] :
( p_LES_EQU_(X1,X0)
| ~ p_LES_EQU_(X1,f_ADD_(X0,n1))
| f_ADD_(X0,n1) = X1 ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f225,plain,
! [X0] :
( X0 = n0
| ~ p_LES_EQU_(X0,n0) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f226,plain,
! [X0] :
( X0 = n0
| X0 = f_ADD_(y_105(X0),n1) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f227,plain,
! [X0] : p_LES_EQU_(X0,X0),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f228,plain,
! [X0,X1] :
( f_ADD_(X0,n1) != f_ADD_(X1,n1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f229,plain,
! [X0] : f_ADD_(n0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f256,plain,
! [X0,X1] :
( ~ p__pred_(f__equiv_(X1,X0))
| p__pred_(X1)
| ~ p__pred_(X0) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f257,plain,
! [X0,X1] :
( p__pred_(f__equiv_(X1,X0))
| ~ p__pred_(X1)
| ~ p__pred_(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f278,plain,
! [A_181] :
( ! [B_182] : p__pred_(f__nand_(A_181,B_182))
| p__pred_(A_181) ),
inference(miniscoping,[status(thm)],[f116]) ).
fof(f279,plain,
! [X0,X1] :
( p__pred_(f__nand_(X0,X1))
| p__pred_(X0) ),
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f299,plain,
p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f300,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f301,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f302,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f303,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f304,plain,
! [X0,X1] :
( f_ADD_(f_SUB_(X1,X0),X0) = X1
| def_89(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f213]) ).
fof(f306,plain,
! [X0] : ~ def_89(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f215]) ).
fof(f309,plain,
p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(backward_demodulation,[status(thm)],[f142,f299]) ).
fof(f310,plain,
n1 != n0,
inference(paramodulation,[status(thm)],[f229,f210]) ).
fof(f312,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = n0,
inference(resolution,[status(thm)],[f146,f302]) ).
fof(f316,plain,
~ p_LES_EQU_(n1,n0),
inference(paramodulation,[status(thm)],[f229,f211]) ).
fof(f334,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0 ),
inference(resolution,[status(thm)],[f221,f309]) ).
fof(f336,definition,
( sQ0_spl
<=> fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ0_spl
| fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,definition,
( sQ1_spl
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( sQ1_spl
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f334,f336,f339]) ).
fof(f344,plain,
! [X0,X1] :
( p_LES_EQU_(X1,X0)
| p_LES_EQU_(X0,X1) ),
inference(resolution,[status(thm)],[f223,f227]) ).
fof(f348,plain,
p_LES_EQU_(n0,n1),
inference(resolution,[status(thm)],[f344,f316]) ).
fof(f350,plain,
p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(resolution,[status(thm)],[f344,f303]) ).
fof(f351,plain,
! [X0] :
( X0 = n0
| p_LES_EQU_(n0,X0) ),
inference(resolution,[status(thm)],[f344,f225]) ).
fof(f357,plain,
~ p_LES_EQU_(f_ADD_(n1,n1),f_ADD_(n0,n1)),
inference(resolution,[status(thm)],[f217,f316]) ).
fof(f359,plain,
~ p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),f_ADD_(n0,n1)),
inference(resolution,[status(thm)],[f217,f303]) ).
fof(f366,plain,
~ p_LES_EQU_(f_ADD_(n1,n1),n1),
inference(forward_demodulation,[status(thm)],[f229,f357]) ).
fof(f368,plain,
~ p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1),
inference(forward_demodulation,[status(thm)],[f229,f359]) ).
fof(f371,plain,
( ~ p_LES_EQU_(n1,n0)
| n1 = n0 ),
inference(resolution,[status(thm)],[f348,f221]) ).
fof(f372,definition,
( sQ2_spl
<=> n1 = n0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ2_spl
| n1 = n0 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
( sQ3_spl
<=> p_LES_EQU_(n1,n0) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f371,f372,f375]) ).
fof(f379,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f373,f310]) ).
fof(f380,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n0 ),
inference(resolution,[status(thm)],[f350,f221]) ).
fof(f383,definition,
( sQ4_spl
<=> fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ4_spl
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n0 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ5_spl
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( sQ5_spl
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f382,f383,f386]) ).
fof(f394,plain,
( ~ sQ4_spl
| ~ p_LES_EQU_(n0,n0) ),
inference(backward_demodulation,[status(thm)],[f384,f303]) ).
fof(f395,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f394,f227]) ).
fof(f396,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f395]) ).
fof(f403,plain,
( n0 = n0
| n0 = n0 ),
inference(resolution,[status(thm)],[f351,f225]) ).
fof(f406,definition,
( sQ6_spl
<=> n0 = n0 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f409,plain,
sQ6_spl,
inference(split_clause,[status(thm)],[f403,f406]) ).
fof(f412,plain,
~ p_LES_EQU_(f_ADD_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1),f_ADD_(n1,n1)),
inference(resolution,[status(thm)],[f368,f217]) ).
fof(f413,plain,
p_LES_EQU_(n1,f_ADD_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1)),
inference(resolution,[status(thm)],[f368,f344]) ).
fof(f432,plain,
p_LES_EQU_(n1,f_ADD_(n1,n1)),
inference(resolution,[status(thm)],[f366,f344]) ).
fof(f441,plain,
( ~ p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1)
| f_ADD_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) = n1 ),
inference(resolution,[status(thm)],[f413,f221]) ).
fof(f442,definition,
( sQ8_spl
<=> f_ADD_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) = n1 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( ~ sQ8_spl
| f_ADD_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) = n1 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,definition,
( sQ9_spl
<=> p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),n1) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f441,f442,f445]) ).
fof(f450,plain,
( ~ sQ8_spl
| ~ p_LES_EQU_(f_ADD_(n1,n1),f_ADD_(n1,n1)) ),
inference(backward_demodulation,[status(thm)],[f443,f412]) ).
fof(f455,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f450,f227]) ).
fof(f456,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f455]) ).
fof(f472,plain,
! [X0] :
( p_LES_EQU_(n1,X0)
| ~ p_LES_EQU_(n0,X0)
| X0 = n0 ),
inference(paramodulation,[status(thm)],[f229,f219]) ).
fof(f473,definition,
( sQ10_spl
<=> n1 = n1 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f480,plain,
! [X0] :
( p_LES_EQU_(n1,X0)
| X0 = n0 ),
inference(forward_subsumption_resolution,[status(thm)],[f472,f351]) ).
fof(f483,plain,
! [X0,X1] :
( p_LES_EQU_(n1,X1)
| p_LES_EQU_(X1,X0)
| X0 = n0 ),
inference(resolution,[status(thm)],[f480,f223]) ).
fof(f484,plain,
! [X0] :
( ~ p_LES_EQU_(X0,n1)
| X0 = n1
| X0 = n0 ),
inference(resolution,[status(thm)],[f480,f221]) ).
fof(f491,definition,
( sQ12_spl
<=> n1 = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ12_spl
| n1 = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
( sQ13_spl
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( sQ13_spl
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f509,definition,
( sQ14_spl
<=> f_ADD_(n1,n1) = n1 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ14_spl
| f_ADD_(n1,n1) = n1 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ14_spl
| f_ADD_(n1,n1) != n1 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,definition,
( sQ15_spl
<=> p_LES_EQU_(f_ADD_(n1,n1),n1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1)
| n1 = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(resolution,[status(thm)],[f368,f219]) ).
fof(f518,plain,
p_LES_EQU_(n1,f_ADD_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1)),
inference(resolution,[status(thm)],[f368,f344]) ).
fof(f519,plain,
( ~ sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f516,f491,f494]) ).
fof(f532,plain,
( ~ p_LES_EQU_(f_ADD_(n1,n1),n1)
| f_ADD_(n1,n1) = n1 ),
inference(resolution,[status(thm)],[f432,f221]) ).
fof(f533,plain,
( ~ sQ15_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f532,f509,f512]) ).
fof(f535,plain,
( ~ sQ14_spl
| ~ p_LES_EQU_(n1,n1) ),
inference(backward_demodulation,[status(thm)],[f510,f366]) ).
fof(f542,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f535,f227]) ).
fof(f543,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( sQ5_spl
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,f_ADD_(n0,n1))
| f_ADD_(n0,n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(resolution,[status(thm)],[f224,f388]) ).
fof(f545,plain,
( sQ13_spl
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,f_ADD_(n1,n1))
| f_ADD_(n1,n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(resolution,[status(thm)],[f224,f496]) ).
fof(f555,definition,
( sQ16_spl
<=> f_ADD_(n0,n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ16_spl
| f_ADD_(n0,n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ17_spl
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,f_ADD_(n0,n1)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f560,plain,
( sQ17_spl
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,f_ADD_(n0,n1)) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( sQ5_spl
| ~ sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f544,f555,f558,f386]) ).
fof(f562,definition,
( sQ18_spl
<=> f_ADD_(n1,n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f563,plain,
( ~ sQ18_spl
| f_ADD_(n1,n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,definition,
( sQ19_spl
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,f_ADD_(n1,n1)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( sQ19_spl
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,f_ADD_(n1,n1)) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,plain,
( sQ13_spl
| ~ sQ19_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f545,f562,f565,f494]) ).
fof(f575,definition,
( sQ20_spl
<=> f_ADD_(n0,n1) = n1 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f578,definition,
( sQ21_spl
<=> p_LES_EQU_(n1,f_ADD_(n0,n1)) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f580,plain,
( sQ21_spl
| ~ p_LES_EQU_(n1,f_ADD_(n0,n1)) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f593,plain,
( ~ sQ16_spl
| n1 = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(forward_demodulation,[status(thm)],[f229,f556]) ).
fof(f594,plain,
( sQ21_spl
| ~ p_LES_EQU_(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f229,f580]) ).
fof(f595,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f594,f227]) ).
fof(f596,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f595]) ).
fof(f655,definition,
( sQ24_spl
<=> f_ADD_(n1,n1) = f_ADD_(n1,n1) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f658,definition,
( sQ25_spl
<=> p_LES_EQU_(f_ADD_(n1,n1),f_ADD_(n1,n1)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( sQ25_spl
| ~ p_LES_EQU_(f_ADD_(n1,n1),f_ADD_(n1,n1)) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f662,plain,
( sQ17_spl
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) ),
inference(forward_demodulation,[status(thm)],[f229,f560]) ).
fof(f663,plain,
( sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f227]) ).
fof(f664,plain,
sQ25_spl,
inference(contradiction_clause,[status(thm)],[f663]) ).
fof(f666,plain,
( sQ17_spl
| ~ sQ12_spl
| ~ p_LES_EQU_(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f492,f662]) ).
fof(f667,plain,
( sQ17_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f666,f227]) ).
fof(f668,plain,
( sQ17_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f667]) ).
fof(f669,plain,
( ~ sQ16_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f593,f491,f555]) ).
fof(f678,plain,
! [X0] :
( n1 != f_ADD_(X0,n1)
| n0 = X0 ),
inference(paramodulation,[status(thm)],[f229,f228]) ).
fof(f683,plain,
! [X0] :
( ~ sQ12_spl
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
inference(forward_demodulation,[status(thm)],[f492,f164]) ).
fof(f684,plain,
( ~ sQ18_spl
| ~ sQ12_spl
| f_ADD_(n1,n1) = n1 ),
inference(forward_demodulation,[status(thm)],[f492,f563]) ).
fof(f685,plain,
( ~ sQ18_spl
| ~ sQ12_spl
| sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f511]) ).
fof(f686,plain,
( ~ sQ18_spl
| ~ sQ12_spl
| sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f685]) ).
fof(f687,plain,
( sQ19_spl
| ~ sQ12_spl
| ~ p_LES_EQU_(n1,f_ADD_(n1,n1)) ),
inference(forward_demodulation,[status(thm)],[f492,f567]) ).
fof(f713,plain,
( ~ sQ12_spl
| p_LES_EQU_(n1,f_ADD_(n1,n1)) ),
inference(forward_demodulation,[status(thm)],[f492,f518]) ).
fof(f719,plain,
( ~ p_LES_EQU_(f_ADD_(n1,n1),f_ADD_(n1,n1))
| f_ADD_(n1,n1) = f_ADD_(n1,n1) ),
inference(resolution,[status(thm)],[f366,f224]) ).
fof(f723,plain,
( ~ sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f719,f655,f658]) ).
fof(f764,plain,
! [X0] :
( ~ sQ12_spl
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) ),
inference(forward_demodulation,[status(thm)],[f492,f157]) ).
fof(f765,plain,
( sQ19_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f713]) ).
fof(f766,plain,
( sQ19_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f765]) ).
fof(f769,plain,
( n0 = y_105(n1)
| n1 = n0 ),
inference(resolution,[status(thm)],[f226,f678]) ).
fof(f773,plain,
! [X0] :
( X0 = n0
| n1 != X0
| n0 = y_105(X0) ),
inference(paramodulation,[status(thm)],[f226,f678]) ).
fof(f782,definition,
( sQ29_spl
<=> n0 = y_105(n1) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( sQ29_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f769,f372,f782]) ).
fof(f788,plain,
( n1 = n0
| n0 = y_105(n1) ),
inference(destructive_equality_resolution,[status(thm)],[f773]) ).
fof(f789,plain,
n0 = y_105(n1),
inference(forward_subsumption_resolution,[status(thm)],[f788,f310]) ).
fof(f794,plain,
( n1 = n0
| n1 = f_ADD_(n0,n1) ),
inference(paramodulation,[status(thm)],[f789,f226]) ).
fof(f795,plain,
( sQ2_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f794,f575,f372]) ).
fof(f799,plain,
( n1 = n0
| n1 = n1
| n1 = n0 ),
inference(resolution,[status(thm)],[f484,f480]) ).
fof(f808,plain,
( sQ10_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f799,f372,f473]) ).
fof(f887,definition,
! [X0] :
( sQ34_spl
<=> ( p_LES_EQU_(n0,X0)
| X0 = n0 ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f893,plain,
! [X0] :
( n1 = n0
| p_LES_EQU_(n0,X0)
| X0 = n0 ),
inference(resolution,[status(thm)],[f483,f225]) ).
fof(f897,plain,
( sQ2_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f893,f887,f372]) ).
fof(f913,plain,
! [X0] : f_ADD_(f_SUB_(X0,X0),X0) = X0,
inference(resolution,[status(thm)],[f304,f306]) ).
fof(f919,plain,
( n1 != n1
| n0 = f_SUB_(n1,n1) ),
inference(paramodulation,[status(thm)],[f913,f678]) ).
fof(f928,definition,
( sQ35_spl
<=> f_SUB_(n1,n1) = n0 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f934,plain,
( ~ sQ10_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f919,f928,f473]) ).
fof(f940,plain,
! [X0,X1] :
( p__pred_(X1)
| ~ p__pred_(X0)
| ~ p__pred_(X1)
| ~ p__pred_(X0) ),
inference(resolution,[status(thm)],[f257,f256]) ).
fof(f942,definition,
! [X0] :
( sQ36_spl
<=> ( ~ p__pred_(X0)
| ~ p__pred_(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f943,plain,
! [X0] :
( ~ sQ36_spl
| ~ p__pred_(X0)
| ~ p__pred_(X0) ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,definition,
! [X1] :
( sQ37_spl
<=> ( p__pred_(X1)
| ~ p__pred_(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f948,plain,
( sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f940,f942,f945]) ).
fof(f950,plain,
! [X0] :
( ~ sQ36_spl
| ~ p__pred_(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f943]) ).
fof(f951,plain,
! [X0,X1] :
( ~ sQ36_spl
| p__pred_(f__nand_(X0,X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f279,f950]) ).
fof(f964,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f951,f950]) ).
fof(f965,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f964]) ).
fof(f980,definition,
( sQ40_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f983,definition,
( sQ41_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f985,plain,
( sQ41_spl
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f990,definition,
( sQ43_spl
<=> p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f991,plain,
( ~ sQ43_spl
| p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
inference(component_clause,[status(thm)],[f990]) ).
fof(f998,plain,
( sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f985,f301]) ).
fof(f999,plain,
sQ41_spl,
inference(contradiction_clause,[status(thm)],[f998]) ).
fof(f1025,definition,
( sQ46_spl
<=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
( ~ sQ46_spl
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1030,plain,
( ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1026,f300]) ).
fof(f1031,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f1030]) ).
fof(f1093,plain,
( ~ sQ12_spl
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(resolution,[status(thm)],[f764,f300]) ).
fof(f1094,definition,
( sQ55_spl
<=> fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1095,plain,
( ~ sQ55_spl
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1097,plain,
( ~ sQ12_spl
| ~ sQ41_spl
| sQ40_spl
| sQ43_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1093,f1094,f990,f980,f983,f491]) ).
fof(f1098,plain,
( ~ sQ43_spl
| ~ sQ0_spl
| p_LES_EQU_(n1,n0) ),
inference(forward_demodulation,[status(thm)],[f337,f991]) ).
fof(f1099,plain,
( ~ sQ43_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1098,f316]) ).
fof(f1100,plain,
( ~ sQ43_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1099]) ).
fof(f1101,plain,
( ~ sQ55_spl
| n0 = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(forward_demodulation,[status(thm)],[f312,f1095]) ).
fof(f1102,plain,
( ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1101,f210]) ).
fof(f1103,plain,
~ sQ55_spl,
inference(contradiction_clause,[status(thm)],[f1102]) ).
fof(f1107,plain,
( sQ1_spl
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f_ADD_(n0,n1))
| f_ADD_(n0,n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(resolution,[status(thm)],[f341,f224]) ).
fof(f1110,definition,
( sQ56_spl
<=> f_ADD_(n0,n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1111,plain,
( ~ sQ56_spl
| f_ADD_(n0,n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(component_clause,[status(thm)],[f1110]) ).
fof(f1113,definition,
( sQ57_spl
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f_ADD_(n0,n1)) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1115,plain,
( sQ57_spl
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f_ADD_(n0,n1)) ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1116,plain,
( sQ1_spl
| ~ sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f1107,f1110,f1113,f339]) ).
fof(f1118,plain,
( ~ sQ56_spl
| n1 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(forward_demodulation,[status(thm)],[f229,f1111]) ).
fof(f1147,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(resolution,[status(thm)],[f174,f300]) ).
fof(f1148,definition,
( sQ58_spl
<=> fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1149,plain,
( ~ sQ58_spl
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1151,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| sQ1_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f1147,f1148,f339,f980,f983]) ).
fof(f1197,plain,
( ~ sQ12_spl
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(resolution,[status(thm)],[f683,f300]) ).
fof(f1198,plain,
( ~ sQ12_spl
| ~ sQ41_spl
| sQ40_spl
| ~ sQ43_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f1197,f1148,f990,f980,f983,f491]) ).
fof(f1199,plain,
( ~ sQ58_spl
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(forward_demodulation,[status(thm)],[f312,f1149]) ).
fof(f1200,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| n0 = n1 ),
inference(forward_demodulation,[status(thm)],[f1118,f1199]) ).
fof(f1201,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1200,f310]) ).
fof(f1202,plain,
( ~ sQ58_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1201]) ).
fof(f1203,plain,
( sQ57_spl
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(forward_demodulation,[status(thm)],[f229,f1115]) ).
fof(f1204,plain,
( ~ sQ58_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1199,f336,f1148]) ).
fof(f1210,plain,
( sQ57_spl
| ~ sQ0_spl
| ~ p_LES_EQU_(n0,n1) ),
inference(forward_demodulation,[status(thm)],[f337,f1203]) ).
fof(f1211,plain,
( sQ57_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1210,f348]) ).
fof(f1212,plain,
( sQ57_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1211]) ).
fof(f1241,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(resolution,[status(thm)],[f180,f300]) ).
fof(f1242,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| ~ sQ1_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1241,f1094,f339,f980,f983]) ).
fof(f1269,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(resolution,[status(thm)],[f157,f300]) ).
fof(f1270,definition,
( sQ66_spl
<=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1271,plain,
( ~ sQ66_spl
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
inference(component_clause,[status(thm)],[f1270]) ).
fof(f1273,plain,
( ~ sQ41_spl
| sQ40_spl
| sQ66_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1269,f1094,f1270,f980,f983]) ).
fof(f1278,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(resolution,[status(thm)],[f164,f300]) ).
fof(f1279,plain,
( ~ sQ41_spl
| sQ40_spl
| ~ sQ66_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f1278,f1148,f1270,f980,f983]) ).
fof(f1300,plain,
( ~ sQ66_spl
| ~ sQ0_spl
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0) ),
inference(forward_demodulation,[status(thm)],[f337,f1271]) ).
fof(f1301,plain,
( ~ sQ66_spl
| ~ sQ0_spl
| sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1300,f388]) ).
fof(f1302,plain,
( ~ sQ66_spl
| ~ sQ0_spl
| sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1301]) ).
fof(f1303,plain,
$false,
inference(sat_refutation,[status(thm)],[f342,f378,f380,f389,f396,f409,f448,f456,f519,f533,f543,f561,f568,f596,f664,f668,f669,f686,f723,f766,f785,f795,f808,f897,f934,f948,f965,f999,f1031,f1097,f1100,f1103,f1116,f1151,f1198,f1202,f1204,f1212,f1242,f1273,f1279,f1302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV016-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:51:08 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.52 % Refutation found
% 0.09/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.53 % Elapsed time: 0.160710 seconds
% 0.09/0.53 % CPU time: 0.971666 seconds
% 0.09/0.53 % Total memory used: 124.044 MB
% 0.09/0.53 % Net memory used: 121.254 MB
%------------------------------------------------------------------------------