%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRA118-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 12:30:52 PM UTC 2026
% Result : Unsatisfiable 127.33s 16.50s
% Output : CNFRefutation 12.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 322
% Syntax : Number of formulae : 2327 ( 37 unt; 317 def)
% Number of atoms : 9745 (1846 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 12026 (4608 ~;7101 |; 0 &)
% ( 317 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 320 ( 318 usr; 318 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 1123 (1123 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( r(Y,X)
| ~ r(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] :
( ~ r(Y,Z)
| ~ r(X,Z)
| ~ r(X,Y)
| Y = Z
| X = Z
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] :
( r(Y,Z)
| r(X,Z)
| r(X,Y)
| Y = Z
| X = Z
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : f(X) != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( X = Y
| f(X) != f(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1] :
( r(X1,X0)
| ~ r(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [Y,Z] :
( ~ r(Y,Z)
| ! [X] :
( ~ r(X,Z)
| ~ r(X,Y)
| Y = Z
| X = Z
| X = Y ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0,X1,X2] :
( ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1)
| X1 = X2
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
! [Y,Z] :
( r(Y,Z)
| ! [X] :
( r(X,Z)
| r(X,Y)
| Y = Z
| X = Z
| X = Y ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] :
( r(X1,X2)
| r(X0,X2)
| r(X0,X1)
| X1 = X2
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0] : f(X0) != c,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0,X1] :
( X0 = X1
| f(X0) != f(X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0] : f(f(X0)) != f(c),
inference(resolution,[status(thm)],[f12,f11]) ).
fof(f15,plain,
! [X0] : f(f(f(X0))) != f(f(c)),
inference(resolution,[status(thm)],[f13,f12]) ).
fof(f17,plain,
! [X0,X1] :
( ~ r(f(c),X1)
| ~ r(f(f(X0)),X1)
| ~ r(f(f(X0)),f(c))
| f(c) = X1
| f(f(X0)) = X1 ),
inference(resolution,[status(thm)],[f8,f13]) ).
fof(f18,plain,
! [X0,X1] :
( ~ r(c,X1)
| ~ r(f(X0),X1)
| ~ r(f(X0),c)
| c = X1
| f(X0) = X1 ),
inference(resolution,[status(thm)],[f8,f11]) ).
fof(f19,plain,
! [X0,X1] :
( ~ r(f(f(X1)),X0)
| ~ r(f(c),X0)
| ~ r(f(c),f(f(X1)))
| f(f(X1)) = X0
| f(c) = X0 ),
inference(resolution,[status(thm)],[f8,f13]) ).
fof(f20,plain,
! [X0,X1] :
( ~ r(f(X1),X0)
| ~ r(c,X0)
| ~ r(c,f(X1))
| f(X1) = X0
| c = X0 ),
inference(resolution,[status(thm)],[f8,f11]) ).
fof(f27,plain,
! [X0] :
( ~ r(c,f(c))
| ~ r(f(f(X0)),f(c))
| ~ r(f(f(X0)),c)
| c = f(c) ),
inference(resolution,[status(thm)],[f18,f13]) ).
fof(f28,plain,
! [X0] :
( ~ r(c,c)
| ~ r(f(X0),c)
| ~ r(f(X0),c)
| c = c ),
inference(resolution,[status(thm)],[f18,f11]) ).
fof(f29,plain,
! [X0] :
( ~ r(c,f(f(X0)))
| ~ r(f(c),f(f(X0)))
| ~ r(f(c),c)
| c = f(f(X0)) ),
inference(resolution,[status(thm)],[f18,f13]) ).
fof(f31,definition,
( sQ0_spl
<=> c = f(c) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f32,plain,
( ~ sQ0_spl
| c = f(c) ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,definition,
! [X0] :
( sQ1_spl
<=> ( ~ r(f(f(X0)),f(c))
| ~ r(f(f(X0)),c) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f35,plain,
! [X0] :
( ~ sQ1_spl
| ~ r(f(f(X0)),f(c))
| ~ r(f(f(X0)),c) ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f37,definition,
( sQ2_spl
<=> r(c,f(c)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f39,plain,
( sQ2_spl
| ~ r(c,f(c)) ),
inference(component_clause,[status(thm)],[f37]) ).
fof(f40,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f27,f31,f34,f37]) ).
fof(f41,definition,
( sQ3_spl
<=> c = c ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f44,definition,
! [X0] :
( sQ4_spl
<=> ( ~ r(f(X0),c)
| ~ r(f(X0),c) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f45,plain,
! [X0] :
( ~ sQ4_spl
| ~ r(f(X0),c)
| ~ r(f(X0),c) ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,definition,
( sQ5_spl
<=> r(c,c) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f50,plain,
( ~ sQ5_spl
| sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f28,f41,f44,f47]) ).
fof(f51,definition,
! [X0] :
( sQ6_spl
<=> ( ~ r(c,f(f(X0)))
| ~ r(f(c),f(f(X0)))
| c = f(f(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f52,plain,
! [X0] :
( ~ sQ6_spl
| ~ r(c,f(f(X0)))
| ~ r(f(c),f(f(X0)))
| c = f(f(X0)) ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f54,definition,
( sQ7_spl
<=> r(f(c),c) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f55,plain,
( ~ sQ7_spl
| r(f(c),c) ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f56,plain,
( sQ7_spl
| ~ r(f(c),c) ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f57,plain,
( ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f29,f51,f54]) ).
fof(f58,plain,
! [X0] :
( ~ sQ6_spl
| ~ r(c,f(f(X0)))
| ~ r(f(c),f(f(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f52,f11]) ).
fof(f59,plain,
! [X0] :
( ~ sQ4_spl
| ~ r(f(X0),c) ),
inference(duplicate_literals_removal,[status(thm)],[f45]) ).
fof(f60,plain,
! [X0] :
( ~ r(f(f(X0)),f(c))
| ~ r(c,f(c))
| ~ r(c,f(f(X0)))
| c = f(c) ),
inference(resolution,[status(thm)],[f20,f13]) ).
fof(f61,plain,
! [X0] :
( ~ r(f(X0),c)
| ~ r(c,c)
| ~ r(c,f(X0))
| c = c ),
inference(resolution,[status(thm)],[f20,f11]) ).
fof(f62,plain,
! [X0] :
( ~ r(f(c),f(f(X0)))
| ~ r(c,f(f(X0)))
| ~ r(c,f(c))
| c = f(f(X0)) ),
inference(resolution,[status(thm)],[f20,f13]) ).
fof(f64,definition,
! [X0] :
( sQ8_spl
<=> ( ~ r(f(f(X0)),f(c))
| ~ r(c,f(f(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f65,plain,
! [X0] :
( ~ sQ8_spl
| ~ r(f(f(X0)),f(c))
| ~ r(c,f(f(X0))) ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,plain,
( ~ sQ2_spl
| sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f60,f31,f64,f37]) ).
fof(f68,definition,
! [X0] :
( sQ9_spl
<=> ( ~ r(f(X0),c)
| ~ r(c,f(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f69,plain,
! [X0] :
( ~ sQ9_spl
| ~ r(f(X0),c)
| ~ r(c,f(X0)) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,plain,
( ~ sQ5_spl
| sQ9_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f61,f41,f68,f47]) ).
fof(f72,plain,
( ~ sQ2_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f62,f51,f37]) ).
fof(f73,plain,
! [X0] :
( ~ r(f(c),f(c))
| ~ r(f(f(X0)),f(c))
| ~ r(f(f(X0)),f(c))
| f(c) = f(c) ),
inference(resolution,[status(thm)],[f17,f13]) ).
fof(f76,definition,
( sQ10_spl
<=> f(c) = f(c) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f79,definition,
! [X0] :
( sQ11_spl
<=> ( ~ r(f(f(X0)),f(c))
| ~ r(f(f(X0)),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f80,plain,
! [X0] :
( ~ sQ11_spl
| ~ r(f(f(X0)),f(c))
| ~ r(f(f(X0)),f(c)) ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,definition,
( sQ12_spl
<=> r(f(c),f(c)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( sQ12_spl
| ~ r(f(c),f(c)) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,plain,
( ~ sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f73,f76,f79,f82]) ).
fof(f87,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f32,f11]) ).
fof(f88,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f87]) ).
fof(f89,plain,
! [X0] :
( ~ r(f(f(X0)),f(c))
| ~ r(f(c),f(c))
| ~ r(f(c),f(f(X0)))
| f(c) = f(c) ),
inference(resolution,[status(thm)],[f19,f13]) ).
fof(f90,plain,
! [X0] :
( ~ r(f(f(X0)),c)
| ~ r(f(c),c)
| ~ r(f(c),f(f(X0)))
| f(c) = c ),
inference(resolution,[status(thm)],[f19,f11]) ).
fof(f92,definition,
! [X0] :
( sQ13_spl
<=> ( ~ r(f(f(X0)),f(c))
| ~ r(f(c),f(f(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f93,plain,
! [X0] :
( ~ sQ13_spl
| ~ r(f(f(X0)),f(c))
| ~ r(f(c),f(f(X0))) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,plain,
( ~ sQ12_spl
| sQ13_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f89,f76,f92,f82]) ).
fof(f96,definition,
! [X0] :
( sQ14_spl
<=> ( ~ r(f(f(X0)),c)
| ~ r(f(c),f(f(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f97,plain,
! [X0] :
( ~ sQ14_spl
| ~ r(f(f(X0)),c)
| ~ r(f(c),f(f(X0))) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,plain,
( ~ sQ7_spl
| sQ14_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f90,f31,f96,f54]) ).
fof(f102,definition,
! [X0] :
( sQ15_spl
<=> ( r(c,X0)
| r(c,X0)
| c = X0
| c = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f103,plain,
! [X0] :
( ~ sQ15_spl
| r(c,X0)
| r(c,X0)
| c = X0
| c = X0 ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f106,plain,
! [X0] :
( sQ2_spl
| r(f(c),X0)
| r(c,X0)
| f(c) = X0
| c = X0
| c = f(c) ),
inference(resolution,[status(thm)],[f39,f10]) ).
fof(f107,plain,
( sQ2_spl
| ~ r(f(c),c) ),
inference(resolution,[status(thm)],[f39,f6]) ).
fof(f108,definition,
! [X0] :
( sQ16_spl
<=> ( r(f(c),X0)
| r(c,X0)
| f(c) = X0
| c = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f109,plain,
! [X0] :
( ~ sQ16_spl
| r(f(c),X0)
| r(c,X0)
| f(c) = X0
| c = X0 ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,plain,
( sQ2_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f106,f31,f108,f37]) ).
fof(f112,plain,
( ~ sQ16_spl
| sQ7_spl
| r(c,c)
| f(c) = c
| c = c ),
inference(resolution,[status(thm)],[f56,f109]) ).
fof(f113,plain,
! [X0] :
( sQ7_spl
| r(c,X0)
| r(f(c),X0)
| c = X0
| f(c) = X0
| f(c) = c ),
inference(resolution,[status(thm)],[f56,f10]) ).
fof(f114,plain,
( sQ7_spl
| ~ r(c,f(c)) ),
inference(resolution,[status(thm)],[f56,f6]) ).
fof(f115,plain,
( ~ sQ16_spl
| sQ7_spl
| sQ5_spl
| sQ0_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f112,f41,f31,f47,f54,f108]) ).
fof(f116,plain,
( sQ7_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f113,f31,f108,f54]) ).
fof(f122,plain,
! [X0] :
( sQ12_spl
| r(f(c),X0)
| r(f(c),X0)
| f(c) = X0
| f(c) = X0
| f(c) = f(c) ),
inference(resolution,[status(thm)],[f84,f10]) ).
fof(f124,definition,
! [X0] :
( sQ17_spl
<=> ( r(f(c),X0)
| r(f(c),X0)
| f(c) = X0
| f(c) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f125,plain,
! [X0] :
( ~ sQ17_spl
| r(f(c),X0)
| r(f(c),X0)
| f(c) = X0
| f(c) = X0 ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( sQ12_spl
| sQ17_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f122,f76,f124,f82]) ).
fof(f128,plain,
! [X0] :
( ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(c),f(f(c)))
| ~ r(f(c),f(f(f(X0))))
| f(c) = f(f(c)) ),
inference(resolution,[status(thm)],[f15,f19]) ).
fof(f129,plain,
! [X0] :
( ~ r(f(c),f(f(c)))
| ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(f(f(X0))),f(c))
| f(c) = f(f(c)) ),
inference(resolution,[status(thm)],[f15,f17]) ).
fof(f130,plain,
! [X0] :
( ~ r(f(f(f(X0))),f(f(c)))
| ~ r(c,f(f(c)))
| ~ r(c,f(f(f(X0))))
| c = f(f(c)) ),
inference(resolution,[status(thm)],[f15,f20]) ).
fof(f131,plain,
! [X0] :
( ~ r(c,f(f(c)))
| ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(f(f(X0))),c)
| c = f(f(c)) ),
inference(resolution,[status(thm)],[f15,f18]) ).
fof(f132,plain,
! [X0,X1] :
( ~ r(f(f(c)),X1)
| ~ r(f(f(f(X0))),X1)
| ~ r(f(f(f(X0))),f(f(c)))
| f(f(c)) = X1
| f(f(f(X0))) = X1 ),
inference(resolution,[status(thm)],[f15,f8]) ).
fof(f133,plain,
! [X0] : f(f(f(f(X0)))) != f(f(f(c))),
inference(resolution,[status(thm)],[f15,f12]) ).
fof(f134,plain,
! [X0] :
( ~ r(f(f(c)),f(f(f(X0))))
| ~ r(f(c),f(f(f(X0))))
| ~ r(f(c),f(f(c)))
| f(c) = f(f(f(X0))) ),
inference(resolution,[status(thm)],[f15,f19]) ).
fof(f135,plain,
! [X0] :
( ~ r(f(c),f(f(f(X0))))
| ~ r(f(f(c)),f(f(f(X0))))
| ~ r(f(f(c)),f(c))
| f(c) = f(f(f(X0))) ),
inference(resolution,[status(thm)],[f15,f17]) ).
fof(f136,plain,
! [X0] :
( ~ r(f(f(c)),f(f(f(X0))))
| ~ r(c,f(f(f(X0))))
| ~ r(c,f(f(c)))
| c = f(f(f(X0))) ),
inference(resolution,[status(thm)],[f15,f20]) ).
fof(f137,plain,
! [X0] :
( ~ r(c,f(f(f(X0))))
| ~ r(f(f(c)),f(f(f(X0))))
| ~ r(f(f(c)),c)
| c = f(f(f(X0))) ),
inference(resolution,[status(thm)],[f15,f18]) ).
fof(f138,plain,
! [X0,X1] :
( ~ r(f(f(f(X1))),X0)
| ~ r(f(f(c)),X0)
| ~ r(f(f(c)),f(f(f(X1))))
| f(f(f(X1))) = X0
| f(f(c)) = X0 ),
inference(resolution,[status(thm)],[f15,f8]) ).
fof(f140,definition,
( sQ18_spl
<=> f(c) = f(f(c)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ18_spl
| f(c) = f(f(c)) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
! [X0] :
( sQ19_spl
<=> ( ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(c),f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f144,plain,
! [X0] :
( ~ sQ19_spl
| ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(c),f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ20_spl
<=> r(f(c),f(f(c))) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ20_spl
| r(f(c),f(f(c))) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f148,plain,
( sQ20_spl
| ~ r(f(c),f(f(c))) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( ~ sQ20_spl
| sQ19_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f128,f140,f143,f146]) ).
fof(f150,definition,
! [X0] :
( sQ21_spl
<=> ( ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(f(f(X0))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f151,plain,
! [X0] :
( ~ sQ21_spl
| ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(f(f(X0))),f(c)) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( ~ sQ20_spl
| sQ21_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f129,f140,f150,f146]) ).
fof(f154,definition,
( sQ22_spl
<=> c = f(f(c)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( ~ sQ22_spl
| c = f(f(c)) ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,definition,
! [X0] :
( sQ23_spl
<=> ( ~ r(f(f(f(X0))),f(f(c)))
| ~ r(c,f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f158,plain,
! [X0] :
( ~ sQ23_spl
| ~ r(f(f(f(X0))),f(f(c)))
| ~ r(c,f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
( sQ24_spl
<=> r(c,f(f(c))) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( sQ24_spl
| ~ r(c,f(f(c))) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( ~ sQ24_spl
| sQ23_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f130,f154,f157,f160]) ).
fof(f164,definition,
! [X0] :
( sQ25_spl
<=> ( ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(f(f(X0))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f165,plain,
! [X0] :
( ~ sQ25_spl
| ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(f(f(X0))),c) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( ~ sQ24_spl
| sQ25_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f131,f154,f164,f160]) ).
fof(f168,definition,
! [X0] :
( sQ26_spl
<=> ( ~ r(f(f(c)),f(f(f(X0))))
| ~ r(f(c),f(f(f(X0))))
| f(c) = f(f(f(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f169,plain,
! [X0] :
( ~ sQ26_spl
| ~ r(f(f(c)),f(f(f(X0))))
| ~ r(f(c),f(f(f(X0))))
| f(c) = f(f(f(X0))) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( ~ sQ20_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f134,f168,f146]) ).
fof(f172,definition,
( sQ27_spl
<=> r(f(f(c)),f(c)) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ27_spl
| r(f(f(c)),f(c)) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( sQ27_spl
| ~ r(f(f(c)),f(c)) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( ~ sQ27_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f135,f168,f172]) ).
fof(f176,definition,
! [X0] :
( sQ28_spl
<=> ( ~ r(f(f(c)),f(f(f(X0))))
| ~ r(c,f(f(f(X0))))
| c = f(f(f(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f177,plain,
! [X0] :
( ~ sQ28_spl
| ~ r(f(f(c)),f(f(f(X0))))
| ~ r(c,f(f(f(X0))))
| c = f(f(f(X0))) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( ~ sQ24_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f136,f176,f160]) ).
fof(f180,definition,
( sQ29_spl
<=> r(f(f(c)),c) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ29_spl
| r(f(f(c)),c) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f182,plain,
( sQ29_spl
| ~ r(f(f(c)),c) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( ~ sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f137,f176,f180]) ).
fof(f184,plain,
! [X0] :
( ~ sQ28_spl
| ~ r(f(f(c)),f(f(f(X0))))
| ~ r(c,f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f177,f11]) ).
fof(f185,plain,
! [X0] :
( ~ sQ26_spl
| ~ r(f(f(c)),f(f(f(X0))))
| ~ r(f(c),f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f169,f13]) ).
fof(f186,plain,
! [X0] :
( ~ r(f(f(c)),f(f(c)))
| ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(f(f(X0))),f(f(c)))
| f(f(c)) = f(f(c)) ),
inference(resolution,[status(thm)],[f132,f15]) ).
fof(f187,plain,
! [X0] :
( ~ r(f(f(c)),f(c))
| ~ r(f(f(f(X0))),f(c))
| ~ r(f(f(f(X0))),f(f(c)))
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f132,f13]) ).
fof(f188,plain,
! [X0] :
( ~ r(f(f(c)),c)
| ~ r(f(f(f(X0))),c)
| ~ r(f(f(f(X0))),f(f(c)))
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f132,f11]) ).
fof(f190,definition,
( sQ30_spl
<=> f(f(c)) = f(f(c)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f193,definition,
! [X0] :
( sQ31_spl
<=> ( ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(f(f(X0))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f194,plain,
! [X0] :
( ~ sQ31_spl
| ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(f(f(X0))),f(f(c))) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,definition,
( sQ32_spl
<=> r(f(f(c)),f(f(c))) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( sQ32_spl
| ~ r(f(f(c)),f(f(c))) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( ~ sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f186,f190,f193,f196]) ).
fof(f200,plain,
( ~ sQ27_spl
| sQ21_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f187,f140,f150,f172]) ).
fof(f201,plain,
( ~ sQ29_spl
| sQ25_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f188,f154,f164,f180]) ).
fof(f202,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f155,f11]) ).
fof(f203,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f202]) ).
fof(f204,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f141,f13]) ).
fof(f205,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f204]) ).
fof(f206,plain,
! [X0] :
( ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(f(c)),f(f(c)))
| ~ r(f(f(c)),f(f(f(X0))))
| f(f(c)) = f(f(c)) ),
inference(resolution,[status(thm)],[f138,f15]) ).
fof(f207,plain,
! [X0] :
( ~ r(f(f(f(X0))),f(c))
| ~ r(f(f(c)),f(c))
| ~ r(f(f(c)),f(f(f(X0))))
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f138,f13]) ).
fof(f208,plain,
! [X0] :
( ~ r(f(f(f(X0))),c)
| ~ r(f(f(c)),c)
| ~ r(f(f(c)),f(f(f(X0))))
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f138,f11]) ).
fof(f210,definition,
! [X0] :
( sQ33_spl
<=> ( ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(f(c)),f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f211,plain,
! [X0] :
( ~ sQ33_spl
| ~ r(f(f(f(X0))),f(f(c)))
| ~ r(f(f(c)),f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( ~ sQ32_spl
| sQ33_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f206,f190,f210,f196]) ).
fof(f214,definition,
! [X0] :
( sQ34_spl
<=> ( ~ r(f(f(f(X0))),f(c))
| ~ r(f(f(c)),f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f215,plain,
! [X0] :
( ~ sQ34_spl
| ~ r(f(f(f(X0))),f(c))
| ~ r(f(f(c)),f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( ~ sQ27_spl
| sQ34_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f207,f140,f214,f172]) ).
fof(f218,definition,
! [X0] :
( sQ35_spl
<=> ( ~ r(f(f(f(X0))),c)
| ~ r(f(f(c)),f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f219,plain,
! [X0] :
( ~ sQ35_spl
| ~ r(f(f(f(X0))),c)
| ~ r(f(f(c)),f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( ~ sQ29_spl
| sQ35_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f208,f154,f218,f180]) ).
fof(f222,plain,
! [X0,X1] :
( ~ sQ1_spl
| r(f(c),X1)
| r(f(f(X0)),X1)
| f(c) = X1
| f(f(X0)) = X1
| f(f(X0)) = f(c)
| ~ r(f(f(X0)),c) ),
inference(resolution,[status(thm)],[f35,f10]) ).
fof(f223,plain,
! [X0] :
( ~ sQ1_spl
| ~ r(f(c),f(f(X0)))
| ~ r(f(f(X0)),c) ),
inference(resolution,[status(thm)],[f35,f6]) ).
fof(f224,plain,
! [X0,X1] :
( ~ sQ1_spl
| r(f(c),X1)
| r(f(f(X0)),X1)
| f(c) = X1
| f(f(X0)) = X1
| ~ r(f(f(X0)),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f222,f13]) ).
fof(f230,plain,
! [X0] :
( sQ24_spl
| r(f(f(c)),X0)
| r(c,X0)
| f(f(c)) = X0
| c = X0
| c = f(f(c)) ),
inference(resolution,[status(thm)],[f162,f10]) ).
fof(f231,plain,
( sQ24_spl
| ~ r(f(f(c)),c) ),
inference(resolution,[status(thm)],[f162,f6]) ).
fof(f232,definition,
! [X0] :
( sQ37_spl
<=> ( r(f(f(c)),X0)
| r(c,X0)
| f(f(c)) = X0
| c = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f233,plain,
! [X0] :
( ~ sQ37_spl
| r(f(f(c)),X0)
| r(c,X0)
| f(f(c)) = X0
| c = X0 ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ24_spl
| sQ37_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f230,f154,f232,f160]) ).
fof(f237,plain,
! [X0] :
( sQ29_spl
| r(c,X0)
| r(f(f(c)),X0)
| c = X0
| f(f(c)) = X0
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f182,f10]) ).
fof(f238,plain,
( sQ29_spl
| ~ r(c,f(f(c))) ),
inference(resolution,[status(thm)],[f182,f6]) ).
fof(f240,plain,
( sQ29_spl
| sQ37_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f237,f154,f232,f180]) ).
fof(f241,plain,
! [X0] :
( sQ20_spl
| r(f(f(c)),X0)
| r(f(c),X0)
| f(f(c)) = X0
| f(c) = X0
| f(c) = f(f(c)) ),
inference(resolution,[status(thm)],[f148,f10]) ).
fof(f242,plain,
( sQ20_spl
| ~ r(f(f(c)),f(c)) ),
inference(resolution,[status(thm)],[f148,f6]) ).
fof(f243,definition,
! [X0] :
( sQ38_spl
<=> ( r(f(f(c)),X0)
| r(f(c),X0)
| f(f(c)) = X0
| f(c) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f244,plain,
! [X0] :
( ~ sQ38_spl
| r(f(f(c)),X0)
| r(f(c),X0)
| f(f(c)) = X0
| f(c) = X0 ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,plain,
( sQ20_spl
| sQ38_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f241,f140,f243,f146]) ).
fof(f254,plain,
( sQ20_spl
| ~ sQ16_spl
| r(c,f(f(c)))
| f(c) = f(f(c))
| c = f(f(c)) ),
inference(resolution,[status(thm)],[f109,f148]) ).
fof(f256,plain,
( sQ20_spl
| ~ sQ16_spl
| sQ24_spl
| sQ18_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f254,f154,f140,f160,f108,f146]) ).
fof(f257,plain,
( sQ29_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f238,f160,f180]) ).
fof(f261,definition,
! [X0] :
( sQ39_spl
<=> ( ~ r(f(f(X0)),c)
| f(f(X0)) = f(c)
| ~ r(c,f(f(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f262,plain,
! [X0] :
( ~ sQ39_spl
| ~ r(f(f(X0)),c)
| f(f(X0)) = f(c)
| ~ r(c,f(f(X0))) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f267,plain,
! [X0] :
( sQ27_spl
| r(f(c),X0)
| r(f(f(c)),X0)
| f(c) = X0
| f(f(c)) = X0
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f174,f10]) ).
fof(f268,plain,
( sQ27_spl
| ~ r(f(c),f(f(c))) ),
inference(resolution,[status(thm)],[f174,f6]) ).
fof(f271,plain,
( sQ27_spl
| sQ38_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f267,f140,f243,f172]) ).
fof(f272,plain,
( sQ27_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f268,f146,f172]) ).
fof(f277,plain,
( sQ20_spl
| ~ r(f(f(c)),f(c)) ),
inference(resolution,[status(thm)],[f148,f6]) ).
fof(f280,plain,
( ~ sQ38_spl
| sQ20_spl
| r(f(c),f(c))
| f(f(c)) = f(c)
| f(c) = f(c) ),
inference(resolution,[status(thm)],[f242,f244]) ).
fof(f285,plain,
( ~ sQ38_spl
| sQ20_spl
| sQ12_spl
| sQ18_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f280,f76,f140,f82,f146,f243]) ).
fof(f289,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| ~ r(c,f(f(c))) ),
inference(resolution,[status(thm)],[f147,f58]) ).
fof(f290,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f289,f160,f146,f51]) ).
fof(f310,plain,
! [X0,X1] :
( ~ sQ8_spl
| r(f(c),X1)
| r(f(f(X0)),X1)
| f(c) = X1
| f(f(X0)) = X1
| f(f(X0)) = f(c)
| ~ r(c,f(f(X0))) ),
inference(resolution,[status(thm)],[f65,f10]) ).
fof(f318,plain,
! [X0] :
( ~ sQ39_spl
| ~ r(f(f(X0)),c)
| f(f(X0)) = f(c) ),
inference(forward_subsumption_resolution,[status(thm)],[f262,f6]) ).
fof(f321,plain,
! [X0] :
( ~ sQ14_spl
| ~ r(f(f(X0)),f(c))
| ~ r(f(f(X0)),c) ),
inference(resolution,[status(thm)],[f97,f6]) ).
fof(f322,plain,
! [X0] :
( ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(c)),f(f(f(c))))
| ~ r(f(f(c)),f(f(f(f(X0)))))
| f(f(c)) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f133,f138]) ).
fof(f323,plain,
! [X0] :
( ~ r(f(f(c)),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),f(f(c)))
| f(f(c)) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f133,f132]) ).
fof(f324,plain,
! [X0] :
( ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(c),f(f(f(c))))
| ~ r(f(c),f(f(f(f(X0)))))
| f(c) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f133,f19]) ).
fof(f325,plain,
! [X0] :
( ~ r(f(c),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),f(c))
| f(c) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f133,f17]) ).
fof(f326,plain,
! [X0] :
( ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(c,f(f(f(c))))
| ~ r(c,f(f(f(f(X0)))))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f133,f20]) ).
fof(f327,plain,
! [X0] :
( ~ r(c,f(f(f(c))))
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),c)
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f133,f18]) ).
fof(f328,plain,
! [X0,X1] :
( ~ r(f(f(f(c))),X1)
| ~ r(f(f(f(f(X0)))),X1)
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| f(f(f(c))) = X1
| f(f(f(f(X0)))) = X1 ),
inference(resolution,[status(thm)],[f133,f8]) ).
fof(f329,plain,
! [X0] : f(f(f(f(f(X0))))) != f(f(f(f(c)))),
inference(resolution,[status(thm)],[f133,f12]) ).
fof(f330,plain,
! [X0] :
( ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(f(f(c)),f(f(f(f(X0)))))
| ~ r(f(f(c)),f(f(f(c))))
| f(f(c)) = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f133,f138]) ).
fof(f331,plain,
! [X0] :
( ~ r(f(f(c)),f(f(f(f(X0)))))
| ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(f(f(f(c))),f(f(c)))
| f(f(c)) = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f133,f132]) ).
fof(f332,plain,
! [X0] :
( ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(f(c),f(f(f(f(X0)))))
| ~ r(f(c),f(f(f(c))))
| f(c) = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f133,f19]) ).
fof(f333,plain,
! [X0] :
( ~ r(f(c),f(f(f(f(X0)))))
| ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(f(f(f(c))),f(c))
| f(c) = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f133,f17]) ).
fof(f334,plain,
! [X0] :
( ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(c,f(f(f(c))))
| c = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f133,f20]) ).
fof(f335,plain,
! [X0] :
( ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(f(f(f(c))),c)
| c = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f133,f18]) ).
fof(f336,plain,
! [X0,X1] :
( ~ r(f(f(f(f(X1)))),X0)
| ~ r(f(f(f(c))),X0)
| ~ r(f(f(f(c))),f(f(f(f(X1)))))
| f(f(f(f(X1)))) = X0
| f(f(f(c))) = X0 ),
inference(resolution,[status(thm)],[f133,f8]) ).
fof(f338,definition,
( sQ41_spl
<=> f(f(c)) = f(f(f(c))) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ41_spl
| f(f(c)) = f(f(f(c))) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,definition,
! [X0] :
( sQ42_spl
<=> ( ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(c)),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f342,plain,
! [X0] :
( ~ sQ42_spl
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,definition,
( sQ43_spl
<=> r(f(f(c)),f(f(f(c)))) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f345,plain,
( ~ sQ43_spl
| r(f(f(c)),f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f346,plain,
( sQ43_spl
| ~ r(f(f(c)),f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( ~ sQ43_spl
| sQ42_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f322,f338,f341,f344]) ).
fof(f348,definition,
! [X0] :
( sQ44_spl
<=> ( ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f349,plain,
! [X0] :
( ~ sQ44_spl
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( ~ sQ43_spl
| sQ44_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f323,f338,f348,f344]) ).
fof(f352,definition,
( sQ45_spl
<=> f(c) = f(f(f(c))) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( ~ sQ45_spl
| f(c) = f(f(f(c))) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,definition,
! [X0] :
( sQ46_spl
<=> ( ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(c),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f356,plain,
! [X0] :
( ~ sQ46_spl
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,definition,
( sQ47_spl
<=> r(f(c),f(f(f(c)))) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ47_spl
| r(f(c),f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f360,plain,
( sQ47_spl
| ~ r(f(c),f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( ~ sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f324,f352,f355,f358]) ).
fof(f362,definition,
! [X0] :
( sQ48_spl
<=> ( ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f363,plain,
! [X0] :
( ~ sQ48_spl
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( ~ sQ47_spl
| sQ48_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f325,f352,f362,f358]) ).
fof(f366,definition,
( sQ49_spl
<=> c = f(f(f(c))) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ49_spl
| c = f(f(f(c))) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
! [X0] :
( sQ50_spl
<=> ( ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(c,f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f370,plain,
! [X0] :
( ~ sQ50_spl
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(c,f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,definition,
( sQ51_spl
<=> r(c,f(f(f(c)))) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ51_spl
| r(c,f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f374,plain,
( sQ51_spl
| ~ r(c,f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( ~ sQ51_spl
| sQ50_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f326,f366,f369,f372]) ).
fof(f376,definition,
! [X0] :
( sQ52_spl
<=> ( ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f377,plain,
! [X0] :
( ~ sQ52_spl
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),c) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( ~ sQ51_spl
| sQ52_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f327,f366,f376,f372]) ).
fof(f380,definition,
! [X0] :
( sQ53_spl
<=> ( ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(f(f(c)),f(f(f(f(X0)))))
| f(f(c)) = f(f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f381,plain,
! [X0] :
( ~ sQ53_spl
| ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(f(f(c)),f(f(f(f(X0)))))
| f(f(c)) = f(f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( ~ sQ43_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f330,f380,f344]) ).
fof(f384,definition,
( sQ54_spl
<=> r(f(f(f(c))),f(f(c))) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( ~ sQ54_spl
| r(f(f(f(c))),f(f(c))) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f386,plain,
( sQ54_spl
| ~ r(f(f(f(c))),f(f(c))) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( ~ sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f331,f380,f384]) ).
fof(f388,definition,
! [X0] :
( sQ55_spl
<=> ( ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(f(c),f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f389,plain,
! [X0] :
( ~ sQ55_spl
| ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(f(c),f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( ~ sQ47_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f332,f388,f358]) ).
fof(f392,definition,
( sQ56_spl
<=> r(f(f(f(c))),f(c)) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ56_spl
| r(f(f(f(c))),f(c)) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f394,plain,
( sQ56_spl
| ~ r(f(f(f(c))),f(c)) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( ~ sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f333,f388,f392]) ).
fof(f396,definition,
! [X0] :
( sQ57_spl
<=> ( ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(c,f(f(f(f(X0)))))
| c = f(f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f397,plain,
! [X0] :
( ~ sQ57_spl
| ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(c,f(f(f(f(X0)))))
| c = f(f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( ~ sQ51_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f334,f396,f372]) ).
fof(f400,definition,
( sQ58_spl
<=> r(f(f(f(c))),c) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( ~ sQ58_spl
| r(f(f(f(c))),c) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f402,plain,
( sQ58_spl
| ~ r(f(f(f(c))),c) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( ~ sQ58_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f335,f396,f400]) ).
fof(f404,plain,
! [X0] :
( ~ sQ57_spl
| ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f397,f11]) ).
fof(f405,plain,
! [X0] :
( ~ sQ55_spl
| ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f13]) ).
fof(f406,plain,
! [X0] :
( ~ sQ53_spl
| ~ r(f(f(f(c))),f(f(f(f(X0)))))
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f15]) ).
fof(f407,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f367,f11]) ).
fof(f408,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f407]) ).
fof(f409,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f353,f13]) ).
fof(f410,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f409]) ).
fof(f411,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f339,f15]) ).
fof(f412,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f411]) ).
fof(f413,plain,
! [X0] :
( ~ r(f(f(f(c))),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| f(f(f(c))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f328,f133]) ).
fof(f415,plain,
! [X0] :
( ~ r(f(f(f(c))),f(c))
| ~ r(f(f(f(f(X0)))),f(c))
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f328,f13]) ).
fof(f416,plain,
! [X0] :
( ~ r(f(f(f(c))),c)
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f328,f11]) ).
fof(f418,definition,
( sQ59_spl
<=> f(f(f(c))) = f(f(f(c))) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f421,definition,
! [X0] :
( sQ60_spl
<=> ( ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),f(f(f(c)))) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f422,plain,
! [X0] :
( ~ sQ60_spl
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(f(X0)))),f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ61_spl
<=> r(f(f(f(c))),f(f(f(c)))) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( sQ61_spl
| ~ r(f(f(f(c))),f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,plain,
( ~ sQ61_spl
| sQ60_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f413,f418,f421,f424]) ).
fof(f429,plain,
( ~ sQ56_spl
| sQ48_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f415,f352,f362,f392]) ).
fof(f430,plain,
( ~ sQ58_spl
| sQ52_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f416,f366,f376,f400]) ).
fof(f431,plain,
! [X0] :
( sQ51_spl
| r(f(f(f(c))),X0)
| r(c,X0)
| f(f(f(c))) = X0
| c = X0
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f374,f10]) ).
fof(f432,plain,
( sQ51_spl
| ~ r(f(f(f(c))),c) ),
inference(resolution,[status(thm)],[f374,f6]) ).
fof(f433,definition,
! [X0] :
( sQ62_spl
<=> ( r(f(f(f(c))),X0)
| r(c,X0)
| f(f(f(c))) = X0
| c = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f434,plain,
! [X0] :
( ~ sQ62_spl
| r(f(f(f(c))),X0)
| r(c,X0)
| f(f(f(c))) = X0
| c = X0 ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,plain,
( sQ51_spl
| sQ62_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f431,f366,f433,f372]) ).
fof(f439,plain,
! [X0] :
( sQ58_spl
| r(c,X0)
| r(f(f(f(c))),X0)
| c = X0
| f(f(f(c))) = X0
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f402,f10]) ).
fof(f440,plain,
( sQ58_spl
| ~ r(c,f(f(f(c)))) ),
inference(resolution,[status(thm)],[f402,f6]) ).
fof(f443,plain,
( sQ58_spl
| sQ62_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f439,f366,f433,f400]) ).
fof(f451,plain,
( sQ51_spl
| ~ sQ62_spl
| r(c,c)
| f(f(f(c))) = c
| c = c ),
inference(resolution,[status(thm)],[f434,f432]) ).
fof(f454,plain,
( sQ51_spl
| ~ sQ62_spl
| sQ5_spl
| sQ49_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f451,f41,f366,f47,f433,f372]) ).
fof(f457,plain,
( ~ sQ8_spl
| ~ sQ37_spl
| ~ r(c,f(f(c)))
| r(c,f(c))
| f(f(c)) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f233,f65]) ).
fof(f459,plain,
( ~ sQ8_spl
| ~ sQ37_spl
| ~ sQ24_spl
| sQ2_spl
| sQ18_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f457,f31,f140,f37,f160,f232,f64]) ).
fof(f461,plain,
! [X0] :
( ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(c))),f(f(f(c))))
| ~ r(f(f(f(c))),f(f(f(f(X0)))))
| f(f(f(c))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f336,f133]) ).
fof(f462,plain,
! [X0] :
( ~ r(f(f(f(f(X0)))),f(f(c)))
| ~ r(f(f(f(c))),f(f(c)))
| ~ r(f(f(f(c))),f(f(f(f(X0)))))
| f(f(f(c))) = f(f(c)) ),
inference(resolution,[status(thm)],[f336,f15]) ).
fof(f463,plain,
! [X0] :
( ~ r(f(f(f(f(X0)))),f(c))
| ~ r(f(f(f(c))),f(c))
| ~ r(f(f(f(c))),f(f(f(f(X0)))))
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f336,f13]) ).
fof(f464,plain,
! [X0] :
( ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(c))),c)
| ~ r(f(f(f(c))),f(f(f(f(X0)))))
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f336,f11]) ).
fof(f466,definition,
! [X0] :
( sQ63_spl
<=> ( ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(c))),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f467,plain,
! [X0] :
( ~ sQ63_spl
| ~ r(f(f(f(f(X0)))),f(f(f(c))))
| ~ r(f(f(f(c))),f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,plain,
( ~ sQ61_spl
| sQ63_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f461,f418,f466,f424]) ).
fof(f470,definition,
! [X0] :
( sQ64_spl
<=> ( ~ r(f(f(f(f(X0)))),f(f(c)))
| ~ r(f(f(f(c))),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( ~ sQ54_spl
| sQ64_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f462,f338,f470,f384]) ).
fof(f474,definition,
! [X0] :
( sQ65_spl
<=> ( ~ r(f(f(f(f(X0)))),f(c))
| ~ r(f(f(f(c))),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ56_spl
| sQ65_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f463,f352,f474,f392]) ).
fof(f478,definition,
! [X0] :
( sQ66_spl
<=> ( ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(c))),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ58_spl
| sQ66_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f464,f366,f478,f400]) ).
fof(f486,plain,
( ~ sQ38_spl
| sQ24_spl
| r(f(c),c)
| f(f(c)) = c
| f(c) = c ),
inference(resolution,[status(thm)],[f231,f244]) ).
fof(f492,plain,
( ~ sQ38_spl
| sQ24_spl
| sQ7_spl
| sQ22_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f486,f31,f154,f54,f160,f243]) ).
fof(f496,plain,
( sQ7_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f114,f37,f54]) ).
fof(f497,plain,
! [X0,X1] :
( ~ sQ8_spl
| r(f(c),X1)
| r(f(f(X0)),X1)
| f(c) = X1
| f(f(X0)) = X1
| ~ r(c,f(f(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f310,f13]) ).
fof(f524,definition,
! [X0] :
( sQ67_spl
<=> ( ~ r(f(f(X0)),c)
| f(f(X0)) = f(c) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f525,plain,
! [X0] :
( ~ sQ67_spl
| ~ r(f(f(X0)),c)
| f(f(X0)) = f(c) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f528,plain,
! [X0] :
( ~ sQ67_spl
| ~ r(f(f(X0)),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f525,f13]) ).
fof(f548,plain,
! [X0,X1] :
( ~ sQ67_spl
| r(c,X1)
| r(f(f(X0)),X1)
| c = X1
| f(f(X0)) = X1
| f(f(X0)) = c ),
inference(resolution,[status(thm)],[f528,f10]) ).
fof(f552,definition,
! [X0] :
( sQ68_spl
<=> ( f(f(X0)) = c
| ~ r(c,f(f(X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f553,plain,
! [X0] :
( ~ sQ68_spl
| f(f(X0)) = c
| ~ r(c,f(f(X0))) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f556,plain,
! [X0,X1] :
( ~ sQ67_spl
| r(c,X1)
| r(f(f(X0)),X1)
| c = X1
| f(f(X0)) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f548,f11]) ).
fof(f557,plain,
! [X0] :
( ~ sQ68_spl
| ~ r(c,f(f(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f11]) ).
fof(f562,definition,
! [X0] :
( sQ69_spl
<=> f(f(X0)) = c ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f563,plain,
! [X0] :
( ~ sQ69_spl
| f(f(X0)) = c ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f566,plain,
( ~ sQ67_spl
| sQ32_spl
| r(c,f(f(c)))
| c = f(f(c))
| f(f(c)) = f(f(c)) ),
inference(resolution,[status(thm)],[f198,f556]) ).
fof(f567,plain,
! [X0] :
( sQ32_spl
| r(f(f(c)),X0)
| r(f(f(c)),X0)
| f(f(c)) = X0
| f(f(c)) = X0
| f(f(c)) = f(f(c)) ),
inference(resolution,[status(thm)],[f198,f10]) ).
fof(f569,plain,
( ~ sQ67_spl
| sQ32_spl
| sQ24_spl
| sQ22_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f566,f190,f154,f160,f196,f524]) ).
fof(f570,definition,
! [X0] :
( sQ70_spl
<=> ( r(f(f(c)),X0)
| r(f(f(c)),X0)
| f(f(c)) = X0
| f(f(c)) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f571,plain,
! [X0] :
( ~ sQ70_spl
| r(f(f(c)),X0)
| r(f(f(c)),X0)
| f(f(c)) = X0
| f(f(c)) = X0 ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,plain,
( sQ32_spl
| sQ70_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f567,f190,f570,f196]) ).
fof(f574,plain,
( ~ sQ16_spl
| sQ47_spl
| r(c,f(f(f(c))))
| f(c) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f360,f109]) ).
fof(f575,plain,
! [X0] :
( sQ47_spl
| r(f(f(f(c))),X0)
| r(f(c),X0)
| f(f(f(c))) = X0
| f(c) = X0
| f(c) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f360,f10]) ).
fof(f576,plain,
( sQ47_spl
| ~ r(f(f(f(c))),f(c)) ),
inference(resolution,[status(thm)],[f360,f6]) ).
fof(f577,plain,
( ~ sQ16_spl
| sQ47_spl
| sQ51_spl
| sQ45_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f574,f366,f352,f372,f358,f108]) ).
fof(f578,definition,
! [X0] :
( sQ71_spl
<=> ( r(f(f(f(c))),X0)
| r(f(c),X0)
| f(f(f(c))) = X0
| f(c) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f579,plain,
! [X0] :
( ~ sQ71_spl
| r(f(f(f(c))),X0)
| r(f(c),X0)
| f(f(f(c))) = X0
| f(c) = X0 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,plain,
( sQ47_spl
| sQ71_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f575,f352,f578,f358]) ).
fof(f582,plain,
( ~ sQ58_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f401,f528]) ).
fof(f583,plain,
( ~ sQ58_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| ~ r(c,f(f(c))) ),
inference(resolution,[status(thm)],[f65,f173]) ).
fof(f598,definition,
! [X0] :
( sQ72_spl
<=> ( ~ r(c,f(f(X0)))
| f(f(X0)) = f(c) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f599,plain,
! [X0] :
( ~ sQ72_spl
| ~ r(c,f(f(X0)))
| f(f(X0)) = f(c) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f602,plain,
! [X0] :
( ~ sQ72_spl
| ~ r(c,f(f(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f599,f13]) ).
fof(f603,plain,
! [X0,X1] :
( ~ sQ68_spl
| r(f(f(X0)),X1)
| r(c,X1)
| f(f(X0)) = X1
| c = X1
| c = f(f(X0)) ),
inference(resolution,[status(thm)],[f557,f10]) ).
fof(f609,plain,
( ~ sQ67_spl
| sQ56_spl
| r(c,f(c))
| c = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f394,f556]) ).
fof(f610,plain,
! [X0] :
( sQ56_spl
| r(f(c),X0)
| r(f(f(f(c))),X0)
| f(c) = X0
| f(f(f(c))) = X0
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f394,f10]) ).
fof(f611,plain,
( sQ56_spl
| ~ r(f(c),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f394,f6]) ).
fof(f612,plain,
( ~ sQ67_spl
| sQ56_spl
| sQ2_spl
| sQ0_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f609,f352,f31,f37,f392,f524]) ).
fof(f613,plain,
( sQ56_spl
| sQ71_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f610,f352,f578,f392]) ).
fof(f614,plain,
( sQ56_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f611,f358,f392]) ).
fof(f616,plain,
! [X0] :
( sQ43_spl
| r(f(f(f(c))),X0)
| r(f(f(c)),X0)
| f(f(f(c))) = X0
| f(f(c)) = X0
| f(f(c)) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f346,f10]) ).
fof(f619,definition,
! [X0] :
( sQ73_spl
<=> ( r(f(f(f(c))),X0)
| r(f(f(c)),X0)
| f(f(f(c))) = X0
| f(f(c)) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f620,plain,
! [X0] :
( ~ sQ73_spl
| r(f(f(f(c))),X0)
| r(f(f(c)),X0)
| f(f(f(c))) = X0
| f(f(c)) = X0 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,plain,
( sQ43_spl
| sQ73_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f616,f338,f619,f344]) ).
fof(f636,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ8_spl
| r(f(f(c)),X0)
| r(c,X0)
| f(f(c)) = X0
| c = X0
| c = f(f(c)) ),
inference(resolution,[status(thm)],[f585,f10]) ).
fof(f638,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| sQ37_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f636,f154,f232,f64,f172]) ).
fof(f639,plain,
( ~ sQ27_spl
| ~ sQ1_spl
| ~ r(f(f(c)),c) ),
inference(resolution,[status(thm)],[f35,f173]) ).
fof(f665,plain,
( sQ29_spl
| ~ r(c,f(f(c))) ),
inference(resolution,[status(thm)],[f182,f6]) ).
fof(f671,plain,
( ~ sQ71_spl
| sQ58_spl
| r(f(c),c)
| f(f(f(c))) = c
| f(c) = c ),
inference(resolution,[status(thm)],[f402,f579]) ).
fof(f677,plain,
( ~ sQ71_spl
| sQ58_spl
| sQ7_spl
| sQ49_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f671,f31,f366,f54,f400,f578]) ).
fof(f686,plain,
( sQ47_spl
| ~ r(f(f(f(c))),f(c)) ),
inference(resolution,[status(thm)],[f360,f6]) ).
fof(f689,plain,
( ~ sQ62_spl
| sQ47_spl
| r(c,f(c))
| f(f(f(c))) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f576,f434]) ).
fof(f695,plain,
( ~ sQ62_spl
| sQ47_spl
| sQ2_spl
| sQ45_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f689,f31,f352,f37,f358,f433]) ).
fof(f701,plain,
( ~ sQ71_spl
| ~ sQ25_spl
| r(f(c),f(f(c)))
| f(f(f(c))) = f(f(c))
| f(c) = f(f(c))
| ~ r(f(f(f(c))),c) ),
inference(resolution,[status(thm)],[f165,f579]) ).
fof(f703,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ25_spl
| r(f(c),f(f(c)))
| f(c) = f(f(c))
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),c)
| ~ r(f(f(f(X0))),c) ),
inference(resolution,[status(thm)],[f165,f224]) ).
fof(f704,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ25_spl
| r(f(c),f(f(c)))
| f(c) = f(f(c))
| f(f(f(X0))) = f(f(c))
| ~ r(c,f(f(f(X0))))
| ~ r(f(f(f(X0))),c) ),
inference(resolution,[status(thm)],[f165,f497]) ).
fof(f705,plain,
! [X0,X1] :
( ~ sQ25_spl
| r(f(f(c)),X1)
| r(f(f(f(X0))),X1)
| f(f(c)) = X1
| f(f(f(X0))) = X1
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),c) ),
inference(resolution,[status(thm)],[f165,f10]) ).
fof(f707,plain,
( ~ sQ71_spl
| ~ sQ25_spl
| sQ20_spl
| sQ41_spl
| sQ18_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f701,f400,f140,f338,f146,f164,f578]) ).
fof(f709,definition,
! [X0] :
( sQ74_spl
<=> ( f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),c)
| ~ r(f(f(f(X0))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f710,plain,
! [X0] :
( ~ sQ74_spl
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),c)
| ~ r(f(f(f(X0))),c) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,plain,
( ~ sQ1_spl
| ~ sQ25_spl
| sQ20_spl
| sQ18_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f703,f709,f140,f146,f164,f34]) ).
fof(f713,definition,
! [X0] :
( sQ75_spl
<=> ( f(f(f(X0))) = f(f(c))
| ~ r(c,f(f(f(X0))))
| ~ r(f(f(f(X0))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f714,plain,
! [X0] :
( ~ sQ75_spl
| f(f(f(X0))) = f(f(c))
| ~ r(c,f(f(f(X0))))
| ~ r(f(f(f(X0))),c) ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,plain,
( ~ sQ8_spl
| ~ sQ25_spl
| sQ20_spl
| sQ18_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f704,f713,f140,f146,f164,f64]) ).
fof(f717,plain,
! [X0,X1] :
( ~ sQ25_spl
| r(f(f(c)),X1)
| r(f(f(f(X0))),X1)
| f(f(c)) = X1
| f(f(f(X0))) = X1
| ~ r(f(f(f(X0))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f705,f15]) ).
fof(f718,plain,
! [X0] :
( ~ sQ74_spl
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),c) ),
inference(duplicate_literals_removal,[status(thm)],[f710]) ).
fof(f719,plain,
! [X0] :
( ~ sQ74_spl
| ~ r(f(f(f(X0))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f718,f15]) ).
fof(f720,plain,
! [X0] :
( ~ sQ75_spl
| f(f(f(X0))) = f(f(c))
| ~ r(c,f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f714,f6]) ).
fof(f722,plain,
! [X0] :
( ~ sQ25_spl
| ~ r(f(f(f(X0))),c)
| r(f(f(c)),f(f(c)))
| f(f(c)) = f(f(c))
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),c) ),
inference(resolution,[status(thm)],[f717,f165]) ).
fof(f723,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ25_spl
| ~ r(f(f(f(X0))),c)
| r(f(f(c)),f(c))
| f(f(c)) = f(c)
| f(f(f(X0))) = f(c)
| ~ r(f(f(f(X0))),c) ),
inference(resolution,[status(thm)],[f717,f35]) ).
fof(f726,plain,
( ~ sQ25_spl
| sQ32_spl
| sQ30_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f722,f709,f190,f196,f164]) ).
fof(f727,definition,
! [X0] :
( sQ76_spl
<=> ( ~ r(f(f(f(X0))),c)
| f(f(f(X0))) = f(c)
| ~ r(f(f(f(X0))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f728,plain,
! [X0] :
( ~ sQ76_spl
| ~ r(f(f(f(X0))),c)
| f(f(f(X0))) = f(c)
| ~ r(f(f(f(X0))),c) ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,plain,
( ~ sQ1_spl
| ~ sQ25_spl
| sQ27_spl
| sQ18_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f723,f727,f140,f172,f164,f34]) ).
fof(f731,definition,
! [X0] :
( sQ77_spl
<=> ( ~ r(c,f(f(f(X0))))
| f(f(f(X0))) = f(c)
| ~ r(f(f(f(X0))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f732,plain,
! [X0] :
( ~ sQ77_spl
| ~ r(c,f(f(f(X0))))
| f(f(f(X0))) = f(c)
| ~ r(f(f(f(X0))),c) ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f735,plain,
! [X0] :
( ~ sQ76_spl
| f(f(f(X0))) = f(c)
| ~ r(f(f(f(X0))),c) ),
inference(duplicate_literals_removal,[status(thm)],[f728]) ).
fof(f736,plain,
! [X0] :
( ~ sQ76_spl
| ~ r(f(f(f(X0))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f13]) ).
fof(f737,plain,
! [X0] :
( ~ sQ77_spl
| ~ r(c,f(f(f(X0))))
| f(f(f(X0))) = f(c) ),
inference(forward_subsumption_resolution,[status(thm)],[f732,f6]) ).
fof(f741,plain,
! [X0,X1] :
( ~ sQ28_spl
| r(f(f(f(X0))),X1)
| r(f(f(c)),X1)
| f(f(f(X0))) = X1
| f(f(c)) = X1
| f(f(c)) = f(f(f(X0)))
| ~ r(c,f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f184,f10]) ).
fof(f744,definition,
! [X0] :
( sQ78_spl
<=> ( r(f(c),f(f(f(X0))))
| f(c) = f(f(f(X0)))
| f(f(c)) = f(f(f(X0)))
| ~ r(c,f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f745,plain,
! [X0] :
( ~ sQ78_spl
| r(f(c),f(f(f(X0))))
| f(c) = f(f(f(X0)))
| f(f(c)) = f(f(f(X0)))
| ~ r(c,f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f749,plain,
! [X0,X1] :
( ~ sQ28_spl
| r(f(f(f(X0))),X1)
| r(f(f(c)),X1)
| f(f(f(X0))) = X1
| f(f(c)) = X1
| ~ r(c,f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f741,f15]) ).
fof(f750,plain,
! [X0] :
( ~ sQ78_spl
| r(f(c),f(f(f(X0))))
| f(c) = f(f(f(X0)))
| ~ r(c,f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f745,f15]) ).
fof(f753,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ74_spl
| r(f(c),c)
| f(c) = c
| f(f(f(X0))) = c
| ~ r(c,f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f719,f497]) ).
fof(f754,plain,
! [X0,X1] :
( ~ sQ74_spl
| r(c,X1)
| r(f(f(f(X0))),X1)
| c = X1
| f(f(f(X0))) = X1
| f(f(f(X0))) = c ),
inference(resolution,[status(thm)],[f719,f10]) ).
fof(f755,plain,
! [X0] :
( ~ sQ74_spl
| ~ r(c,f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f719,f6]) ).
fof(f757,definition,
! [X0] :
( sQ79_spl
<=> ( f(f(f(X0))) = c
| ~ r(f(f(f(X0))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f758,plain,
! [X0] :
( ~ sQ79_spl
| f(f(f(X0))) = c
| ~ r(f(f(f(X0))),c) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f761,definition,
! [X0] :
( sQ80_spl
<=> ( f(f(f(X0))) = c
| ~ r(c,f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f762,plain,
! [X0] :
( ~ sQ80_spl
| f(f(f(X0))) = c
| ~ r(c,f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,plain,
( ~ sQ8_spl
| ~ sQ74_spl
| sQ7_spl
| sQ0_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f753,f761,f31,f54,f709,f64]) ).
fof(f765,plain,
! [X0,X1] :
( ~ sQ74_spl
| r(c,X1)
| r(f(f(f(X0))),X1)
| c = X1
| f(f(f(X0))) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f754,f11]) ).
fof(f766,plain,
( ~ sQ62_spl
| ~ sQ21_spl
| r(c,f(f(c)))
| f(f(f(c))) = f(f(c))
| c = f(f(c))
| ~ r(f(f(f(c))),f(c)) ),
inference(resolution,[status(thm)],[f151,f434]) ).
fof(f767,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ21_spl
| r(f(c),f(f(c)))
| f(c) = f(f(c))
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),c)
| ~ r(f(f(f(X0))),f(c)) ),
inference(resolution,[status(thm)],[f151,f224]) ).
fof(f769,plain,
! [X0,X1] :
( ~ sQ21_spl
| r(f(f(c)),X1)
| r(f(f(f(X0))),X1)
| f(f(c)) = X1
| f(f(f(X0))) = X1
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),f(c)) ),
inference(resolution,[status(thm)],[f151,f10]) ).
fof(f771,plain,
( ~ sQ62_spl
| ~ sQ21_spl
| sQ24_spl
| sQ41_spl
| sQ22_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f766,f392,f154,f338,f160,f150,f433]) ).
fof(f772,definition,
! [X0] :
( sQ81_spl
<=> ( f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),c)
| ~ r(f(f(f(X0))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f773,plain,
! [X0] :
( ~ sQ81_spl
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),c)
| ~ r(f(f(f(X0))),f(c)) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| sQ20_spl
| sQ18_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f767,f772,f140,f146,f150,f34]) ).
fof(f776,definition,
! [X0] :
( sQ82_spl
<=> ( f(f(f(X0))) = f(f(c))
| ~ r(c,f(f(f(X0))))
| ~ r(f(f(f(X0))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f777,plain,
! [X0] :
( ~ sQ82_spl
| f(f(f(X0))) = f(f(c))
| ~ r(c,f(f(f(X0))))
| ~ r(f(f(f(X0))),f(c)) ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f780,plain,
! [X0,X1] :
( ~ sQ21_spl
| r(f(f(c)),X1)
| r(f(f(f(X0))),X1)
| f(f(c)) = X1
| f(f(f(X0))) = X1
| ~ r(f(f(f(X0))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f769,f15]) ).
fof(f784,definition,
! [X0] :
( sQ83_spl
<=> f(f(f(X0))) = c ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f785,plain,
! [X0] :
( ~ sQ83_spl
| f(f(f(X0))) = c ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f788,definition,
! [X0] :
( sQ84_spl
<=> ( ~ r(f(f(f(X0))),c)
| f(f(f(X0))) = f(c) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f789,plain,
! [X0] :
( ~ sQ84_spl
| ~ r(f(f(f(X0))),c)
| f(f(f(X0))) = f(c) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f792,definition,
! [X0] :
( sQ85_spl
<=> ( ~ r(c,f(f(f(X0))))
| f(f(f(X0))) = f(c) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f793,plain,
! [X0] :
( ~ sQ85_spl
| ~ r(c,f(f(f(X0))))
| f(f(f(X0))) = f(c) ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f796,plain,
! [X0] :
( ~ sQ78_spl
| r(f(c),f(f(f(X0))))
| ~ r(c,f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f750,f13]) ).
fof(f797,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ78_spl
| ~ r(c,f(f(f(X0))))
| ~ r(c,f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f796,f58]) ).
fof(f798,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ78_spl
| ~ r(c,f(f(f(X0)))) ),
inference(duplicate_literals_removal,[status(thm)],[f797]) ).
fof(f801,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ28_spl
| ~ r(c,f(f(f(X0))))
| r(f(f(c)),f(c))
| f(f(f(X0))) = f(c)
| f(f(c)) = f(c)
| ~ r(c,f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f749,f65]) ).
fof(f804,definition,
! [X0] :
( sQ86_spl
<=> ( ~ r(c,f(f(f(X0))))
| f(f(f(X0))) = f(c)
| ~ r(c,f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f805,plain,
! [X0] :
( ~ sQ86_spl
| ~ r(c,f(f(f(X0))))
| f(f(f(X0))) = f(c)
| ~ r(c,f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,plain,
( ~ sQ8_spl
| ~ sQ28_spl
| sQ27_spl
| sQ18_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f801,f804,f140,f172,f176,f64]) ).
fof(f808,plain,
! [X0] :
( ~ sQ80_spl
| ~ r(c,f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f762,f11]) ).
fof(f809,plain,
! [X0] :
( ~ sQ86_spl
| f(f(f(X0))) = f(c)
| ~ r(c,f(f(f(X0)))) ),
inference(duplicate_literals_removal,[status(thm)],[f805]) ).
fof(f810,plain,
! [X0] :
( ~ sQ86_spl
| ~ r(c,f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f809,f13]) ).
fof(f825,plain,
( ~ sQ6_spl
| ~ sQ47_spl
| ~ r(c,f(f(f(c)))) ),
inference(resolution,[status(thm)],[f359,f58]) ).
fof(f827,plain,
( ~ sQ8_spl
| ~ sQ56_spl
| ~ r(c,f(f(f(c)))) ),
inference(resolution,[status(thm)],[f393,f65]) ).
fof(f828,plain,
( ~ sQ74_spl
| sQ54_spl
| r(c,f(f(c)))
| c = f(f(c))
| f(f(f(c))) = f(f(c)) ),
inference(resolution,[status(thm)],[f386,f765]) ).
fof(f829,plain,
( ~ sQ1_spl
| sQ54_spl
| r(f(c),f(f(c)))
| f(c) = f(f(c))
| f(f(f(c))) = f(f(c))
| ~ r(f(f(f(c))),c) ),
inference(resolution,[status(thm)],[f386,f224]) ).
fof(f831,plain,
! [X0] :
( sQ54_spl
| r(f(f(c)),X0)
| r(f(f(f(c))),X0)
| f(f(c)) = X0
| f(f(f(c))) = X0
| f(f(f(c))) = f(f(c)) ),
inference(resolution,[status(thm)],[f386,f10]) ).
fof(f832,plain,
( sQ54_spl
| ~ r(f(f(c)),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f386,f6]) ).
fof(f833,plain,
( ~ sQ74_spl
| sQ54_spl
| sQ24_spl
| sQ22_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f828,f338,f154,f160,f384,f709]) ).
fof(f834,plain,
( ~ sQ1_spl
| sQ54_spl
| sQ20_spl
| sQ18_spl
| sQ41_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f829,f400,f338,f140,f146,f384,f34]) ).
fof(f836,plain,
( sQ54_spl
| sQ73_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f831,f338,f619,f384]) ).
fof(f837,plain,
( sQ54_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f832,f344,f384]) ).
fof(f838,plain,
( sQ54_spl
| ~ sQ73_spl
| r(f(f(c)),f(f(c)))
| f(f(f(c))) = f(f(c))
| f(f(c)) = f(f(c)) ),
inference(resolution,[status(thm)],[f620,f386]) ).
fof(f839,plain,
( ~ sQ74_spl
| ~ sQ73_spl
| r(f(f(c)),c)
| f(f(f(c))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f620,f719]) ).
fof(f840,plain,
( ~ sQ1_spl
| ~ sQ73_spl
| ~ r(f(f(f(c))),c)
| r(f(f(c)),f(c))
| f(f(f(c))) = f(c)
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f620,f35]) ).
fof(f842,plain,
( sQ54_spl
| ~ sQ73_spl
| sQ32_spl
| sQ41_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f838,f190,f338,f196,f619,f384]) ).
fof(f843,plain,
( ~ sQ74_spl
| ~ sQ73_spl
| sQ29_spl
| sQ49_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f839,f154,f366,f180,f619,f709]) ).
fof(f844,plain,
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ58_spl
| sQ27_spl
| sQ45_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f840,f140,f352,f172,f400,f619,f34]) ).
fof(f849,plain,
! [X0,X1] :
( ~ sQ26_spl
| r(f(f(f(X0))),X1)
| r(f(f(c)),X1)
| f(f(f(X0))) = X1
| f(f(c)) = X1
| f(f(c)) = f(f(f(X0)))
| ~ r(f(c),f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f185,f10]) ).
fof(f856,plain,
! [X0,X1] :
( ~ sQ26_spl
| r(f(f(f(X0))),X1)
| r(f(f(c)),X1)
| f(f(f(X0))) = X1
| f(f(c)) = X1
| ~ r(f(c),f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f849,f15]) ).
fof(f860,plain,
( ~ sQ38_spl
| sQ43_spl
| r(f(c),f(f(f(c))))
| f(f(c)) = f(f(f(c)))
| f(c) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f346,f244]) ).
fof(f861,plain,
( ~ sQ1_spl
| sQ43_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(c)) = f(f(f(c)))
| ~ r(f(f(c)),c) ),
inference(resolution,[status(thm)],[f346,f224]) ).
fof(f864,plain,
( sQ43_spl
| ~ r(f(f(f(c))),f(f(c))) ),
inference(resolution,[status(thm)],[f346,f6]) ).
fof(f865,plain,
( ~ sQ38_spl
| sQ43_spl
| sQ47_spl
| sQ41_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f860,f352,f338,f358,f344,f243]) ).
fof(f866,plain,
( ~ sQ1_spl
| sQ43_spl
| sQ47_spl
| sQ45_spl
| sQ41_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f861,f180,f338,f352,f358,f344,f34]) ).
fof(f869,plain,
( ~ sQ73_spl
| sQ61_spl
| r(f(f(c)),f(f(f(c))))
| f(f(f(c))) = f(f(f(c)))
| f(f(c)) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f426,f620]) ).
fof(f871,plain,
( ~ sQ1_spl
| sQ61_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(c))) = f(f(f(c)))
| ~ r(f(f(f(c))),c) ),
inference(resolution,[status(thm)],[f426,f224]) ).
fof(f873,plain,
! [X0] :
( sQ61_spl
| r(f(f(f(c))),X0)
| r(f(f(f(c))),X0)
| f(f(f(c))) = X0
| f(f(f(c))) = X0
| f(f(f(c))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f426,f10]) ).
fof(f875,plain,
( ~ sQ73_spl
| sQ61_spl
| sQ43_spl
| sQ59_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f869,f338,f418,f344,f424,f619]) ).
fof(f877,plain,
( ~ sQ1_spl
| sQ61_spl
| sQ47_spl
| sQ45_spl
| sQ59_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f871,f400,f418,f352,f358,f424,f34]) ).
fof(f879,definition,
! [X0] :
( sQ88_spl
<=> ( r(f(f(f(c))),X0)
| r(f(f(f(c))),X0)
| f(f(f(c))) = X0
| f(f(f(c))) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f880,plain,
! [X0] :
( ~ sQ88_spl
| r(f(f(f(c))),X0)
| r(f(f(f(c))),X0)
| f(f(f(c))) = X0
| f(f(f(c))) = X0 ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,plain,
( sQ61_spl
| sQ88_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f873,f418,f879,f424]) ).
fof(f883,plain,
! [X0] :
( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(c))),f(f(f(f(c)))))
| ~ r(f(f(f(c))),f(f(f(f(f(X0))))))
| f(f(f(c))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f329,f336]) ).
fof(f884,plain,
! [X0] :
( ~ r(f(f(f(c))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c))))
| f(f(f(c))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f329,f328]) ).
fof(f885,plain,
! [X0] :
( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(c)),f(f(f(f(c)))))
| ~ r(f(f(c)),f(f(f(f(f(X0))))))
| f(f(c)) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f329,f138]) ).
fof(f886,plain,
! [X0] :
( ~ r(f(f(c)),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(f(c)))
| f(f(c)) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f329,f132]) ).
fof(f887,plain,
! [X0] :
( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(c),f(f(f(f(c)))))
| ~ r(f(c),f(f(f(f(f(X0))))))
| f(c) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f329,f19]) ).
fof(f888,plain,
! [X0] :
( ~ r(f(c),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(c))
| f(c) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f329,f17]) ).
fof(f889,plain,
! [X0] :
( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(c,f(f(f(f(c)))))
| ~ r(c,f(f(f(f(f(X0))))))
| c = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f329,f20]) ).
fof(f890,plain,
! [X0] :
( ~ r(c,f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),c)
| c = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f329,f18]) ).
fof(f891,plain,
! [X0,X1] :
( ~ r(f(f(f(f(c)))),X1)
| ~ r(f(f(f(f(f(X0))))),X1)
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| f(f(f(f(c)))) = X1
| f(f(f(f(f(X0))))) = X1 ),
inference(resolution,[status(thm)],[f329,f8]) ).
fof(f892,plain,
! [X0] : f(f(f(f(f(f(X0)))))) != f(f(f(f(f(c))))),
inference(resolution,[status(thm)],[f329,f12]) ).
fof(f893,plain,
! [X0] :
( ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| ~ r(f(f(f(c))),f(f(f(f(f(X0))))))
| ~ r(f(f(f(c))),f(f(f(f(c)))))
| f(f(f(c))) = f(f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f329,f336]) ).
fof(f894,plain,
! [X0] :
( ~ r(f(f(f(c))),f(f(f(f(f(X0))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| ~ r(f(f(f(f(c)))),f(f(f(c))))
| f(f(f(c))) = f(f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f329,f328]) ).
fof(f895,plain,
! [X0] :
( ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| ~ r(f(f(c)),f(f(f(f(f(X0))))))
| ~ r(f(f(c)),f(f(f(f(c)))))
| f(f(c)) = f(f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f329,f138]) ).
fof(f897,plain,
! [X0] :
( ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| ~ r(f(c),f(f(f(f(f(X0))))))
| ~ r(f(c),f(f(f(f(c)))))
| f(c) = f(f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f329,f19]) ).
fof(f898,plain,
! [X0] :
( ~ r(f(c),f(f(f(f(f(X0))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| ~ r(f(f(f(f(c)))),f(c))
| f(c) = f(f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f329,f17]) ).
fof(f899,plain,
! [X0] :
( ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| ~ r(c,f(f(f(f(f(X0))))))
| ~ r(c,f(f(f(f(c)))))
| c = f(f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f329,f20]) ).
fof(f900,plain,
! [X0] :
( ~ r(c,f(f(f(f(f(X0))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| ~ r(f(f(f(f(c)))),c)
| c = f(f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f329,f18]) ).
fof(f901,plain,
! [X0,X1] :
( ~ r(f(f(f(f(f(X1))))),X0)
| ~ r(f(f(f(f(c)))),X0)
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X1))))))
| f(f(f(f(f(X1))))) = X0
| f(f(f(f(c)))) = X0 ),
inference(resolution,[status(thm)],[f329,f8]) ).
fof(f903,definition,
( sQ89_spl
<=> f(f(f(c))) = f(f(f(f(c)))) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( ~ sQ89_spl
| f(f(f(c))) = f(f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f906,definition,
! [X0] :
( sQ90_spl
<=> ( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(c))),f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f909,definition,
( sQ91_spl
<=> r(f(f(f(c))),f(f(f(f(c))))) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f911,plain,
( sQ91_spl
| ~ r(f(f(f(c))),f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,plain,
( ~ sQ91_spl
| sQ90_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f883,f903,f906,f909]) ).
fof(f913,definition,
! [X0] :
( sQ92_spl
<=> ( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c)))) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f914,plain,
! [X0] :
( ~ sQ92_spl
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,plain,
( ~ sQ91_spl
| sQ92_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f884,f903,f913,f909]) ).
fof(f917,definition,
( sQ93_spl
<=> f(f(c)) = f(f(f(f(c)))) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f918,plain,
( ~ sQ93_spl
| f(f(c)) = f(f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f920,definition,
! [X0] :
( sQ94_spl
<=> ( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(c)),f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f923,definition,
( sQ95_spl
<=> r(f(f(c)),f(f(f(f(c))))) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f925,plain,
( sQ95_spl
| ~ r(f(f(c)),f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,plain,
( ~ sQ95_spl
| sQ94_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f885,f917,f920,f923]) ).
fof(f927,definition,
! [X0] :
( sQ96_spl
<=> ( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f928,plain,
! [X0] :
( ~ sQ96_spl
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,plain,
( ~ sQ95_spl
| sQ96_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f886,f917,f927,f923]) ).
fof(f931,definition,
( sQ97_spl
<=> f(c) = f(f(f(f(c)))) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f932,plain,
( ~ sQ97_spl
| f(c) = f(f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,definition,
! [X0] :
( sQ98_spl
<=> ( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(c),f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f937,definition,
( sQ99_spl
<=> r(f(c),f(f(f(f(c))))) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( ~ sQ99_spl
| r(f(c),f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f939,plain,
( sQ99_spl
| ~ r(f(c),f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,plain,
( ~ sQ99_spl
| sQ98_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f887,f931,f934,f937]) ).
fof(f941,definition,
! [X0] :
( sQ100_spl
<=> ( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f942,plain,
! [X0] :
( ~ sQ100_spl
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(c)) ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f944,plain,
( ~ sQ99_spl
| sQ100_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f888,f931,f941,f937]) ).
fof(f945,definition,
( sQ101_spl
<=> c = f(f(f(f(c)))) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f946,plain,
( ~ sQ101_spl
| c = f(f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,definition,
! [X0] :
( sQ102_spl
<=> ( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(c,f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f951,definition,
( sQ103_spl
<=> r(c,f(f(f(f(c))))) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( ~ sQ103_spl
| r(c,f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f953,plain,
( sQ103_spl
| ~ r(c,f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,plain,
( ~ sQ103_spl
| sQ102_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f889,f945,f948,f951]) ).
fof(f955,definition,
! [X0] :
( sQ104_spl
<=> ( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f958,plain,
( ~ sQ103_spl
| sQ104_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f890,f945,f955,f951]) ).
fof(f959,definition,
! [X0] :
( sQ105_spl
<=> ( ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| ~ r(f(f(f(c))),f(f(f(f(f(X0))))))
| f(f(f(c))) = f(f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( ~ sQ91_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f893,f959,f909]) ).
fof(f963,definition,
( sQ106_spl
<=> r(f(f(f(f(c)))),f(f(f(c)))) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f964,plain,
( ~ sQ106_spl
| r(f(f(f(f(c)))),f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f965,plain,
( sQ106_spl
| ~ r(f(f(f(f(c)))),f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,plain,
( ~ sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f894,f959,f963]) ).
fof(f967,definition,
! [X0] :
( sQ107_spl
<=> ( ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| ~ r(f(f(c)),f(f(f(f(f(X0))))))
| f(f(c)) = f(f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f970,plain,
( ~ sQ95_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f895,f967,f923]) ).
fof(f971,definition,
( sQ108_spl
<=> r(f(f(f(f(c)))),f(f(c))) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( ~ sQ108_spl
| r(f(f(f(f(c)))),f(f(c))) ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f973,plain,
( sQ108_spl
| ~ r(f(f(f(f(c)))),f(f(c))) ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f975,definition,
! [X0] :
( sQ109_spl
<=> ( ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| ~ r(f(c),f(f(f(f(f(X0))))))
| f(c) = f(f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f978,plain,
( ~ sQ99_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f897,f975,f937]) ).
fof(f979,definition,
( sQ110_spl
<=> r(f(f(f(f(c)))),f(c)) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( ~ sQ110_spl
| r(f(f(f(f(c)))),f(c)) ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f981,plain,
( sQ110_spl
| ~ r(f(f(f(f(c)))),f(c)) ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,plain,
( ~ sQ110_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f898,f975,f979]) ).
fof(f983,definition,
! [X0] :
( sQ111_spl
<=> ( ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| ~ r(c,f(f(f(f(f(X0))))))
| c = f(f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f986,plain,
( ~ sQ103_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f899,f983,f951]) ).
fof(f987,definition,
( sQ112_spl
<=> r(f(f(f(f(c)))),c) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f988,plain,
( ~ sQ112_spl
| r(f(f(f(f(c)))),c) ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f989,plain,
( sQ112_spl
| ~ r(f(f(f(f(c)))),c) ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f990,plain,
( ~ sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f900,f983,f987]) ).
fof(f994,plain,
! [X0] :
( ~ r(f(f(f(f(c)))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| f(f(f(f(c)))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f891,f329]) ).
fof(f995,plain,
! [X0] :
( ~ r(f(f(f(f(c)))),f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| f(f(f(f(c)))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f891,f133]) ).
fof(f996,plain,
! [X0] :
( ~ r(f(f(f(f(c)))),f(f(c)))
| ~ r(f(f(f(f(f(X0))))),f(f(c)))
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| f(f(f(f(c)))) = f(f(c)) ),
inference(resolution,[status(thm)],[f891,f15]) ).
fof(f997,plain,
! [X0] :
( ~ r(f(f(f(f(c)))),f(c))
| ~ r(f(f(f(f(f(X0))))),f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f891,f13]) ).
fof(f998,plain,
! [X0] :
( ~ r(f(f(f(f(c)))),c)
| ~ r(f(f(f(f(f(X0))))),c)
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| f(f(f(f(c)))) = c ),
inference(resolution,[status(thm)],[f891,f11]) ).
fof(f1000,definition,
( sQ113_spl
<=> f(f(f(f(c)))) = f(f(f(f(c)))) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1003,definition,
! [X0] :
( sQ114_spl
<=> ( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c))))) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ114_spl
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f1003]) ).
fof(f1006,definition,
( sQ115_spl
<=> r(f(f(f(f(c)))),f(f(f(f(c))))) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
( sQ115_spl
| ~ r(f(f(f(f(c)))),f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1009,plain,
( ~ sQ115_spl
| sQ114_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f994,f1000,f1003,f1006]) ).
fof(f1010,plain,
( ~ sQ106_spl
| sQ92_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f995,f903,f913,f963]) ).
fof(f1011,plain,
( ~ sQ108_spl
| sQ96_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f996,f917,f927,f971]) ).
fof(f1012,plain,
( ~ sQ110_spl
| sQ100_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f997,f931,f941,f979]) ).
fof(f1013,plain,
( ~ sQ112_spl
| sQ104_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f998,f945,f955,f987]) ).
fof(f1014,plain,
( ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f946,f11]) ).
fof(f1015,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f1014]) ).
fof(f1016,plain,
( ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f932,f13]) ).
fof(f1017,plain,
~ sQ97_spl,
inference(contradiction_clause,[status(thm)],[f1016]) ).
fof(f1018,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f918,f15]) ).
fof(f1019,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f1018]) ).
fof(f1020,plain,
( ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f904,f133]) ).
fof(f1021,plain,
~ sQ89_spl,
inference(contradiction_clause,[status(thm)],[f1020]) ).
fof(f1022,plain,
( ~ sQ39_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f318,f524,f261]) ).
fof(f1023,plain,
! [X0] :
( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(c)))),f(f(f(f(c)))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| f(f(f(f(c)))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f901,f329]) ).
fof(f1024,plain,
! [X0] :
( ~ r(f(f(f(f(f(X0))))),f(f(f(c))))
| ~ r(f(f(f(f(c)))),f(f(f(c))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| f(f(f(f(c)))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f901,f133]) ).
fof(f1025,plain,
! [X0] :
( ~ r(f(f(f(f(f(X0))))),f(f(c)))
| ~ r(f(f(f(f(c)))),f(f(c)))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| f(f(f(f(c)))) = f(f(c)) ),
inference(resolution,[status(thm)],[f901,f15]) ).
fof(f1026,plain,
! [X0] :
( ~ r(f(f(f(f(f(X0))))),f(c))
| ~ r(f(f(f(f(c)))),f(c))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f901,f13]) ).
fof(f1027,plain,
! [X0] :
( ~ r(f(f(f(f(f(X0))))),c)
| ~ r(f(f(f(f(c)))),c)
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X0))))))
| f(f(f(f(c)))) = c ),
inference(resolution,[status(thm)],[f901,f11]) ).
fof(f1029,definition,
! [X0] :
( sQ116_spl
<=> ( ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
! [X0] :
( ~ sQ116_spl
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X0)))))) ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,plain,
( ~ sQ115_spl
| sQ116_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f1023,f1000,f1029,f1006]) ).
fof(f1033,definition,
! [X0] :
( sQ117_spl
<=> ( ~ r(f(f(f(f(f(X0))))),f(f(f(c))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1036,plain,
( ~ sQ106_spl
| sQ117_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1024,f903,f1033,f963]) ).
fof(f1037,definition,
! [X0] :
( sQ118_spl
<=> ( ~ r(f(f(f(f(f(X0))))),f(f(c)))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( ~ sQ108_spl
| sQ118_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1025,f917,f1037,f971]) ).
fof(f1041,definition,
! [X0] :
( sQ119_spl
<=> ( ~ r(f(f(f(f(f(X0))))),f(c))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( ~ sQ110_spl
| sQ119_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1026,f931,f1041,f979]) ).
fof(f1045,definition,
! [X0] :
( sQ120_spl
<=> ( ~ r(f(f(f(f(f(X0))))),c)
| ~ r(f(f(f(f(c)))),f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1048,plain,
( ~ sQ112_spl
| sQ120_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1027,f945,f1045,f987]) ).
fof(f1049,plain,
! [X0] :
( sQ99_spl
| r(f(f(f(f(c)))),X0)
| r(f(c),X0)
| f(f(f(f(c)))) = X0
| f(c) = X0
| f(c) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f939,f10]) ).
fof(f1050,plain,
( sQ99_spl
| ~ r(f(f(f(f(c)))),f(c)) ),
inference(resolution,[status(thm)],[f939,f6]) ).
fof(f1051,definition,
! [X0] :
( sQ121_spl
<=> ( r(f(f(f(f(c)))),X0)
| r(f(c),X0)
| f(f(f(f(c)))) = X0
| f(c) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ121_spl
| r(f(f(f(f(c)))),X0)
| r(f(c),X0)
| f(f(f(f(c)))) = X0
| f(c) = X0 ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,plain,
( sQ99_spl
| sQ121_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1049,f931,f1051,f937]) ).
fof(f1055,plain,
( ~ sQ74_spl
| ~ sQ121_spl
| r(f(c),c)
| f(f(f(f(c)))) = c
| f(c) = c ),
inference(resolution,[status(thm)],[f1052,f719]) ).
fof(f1058,plain,
( ~ sQ74_spl
| ~ sQ121_spl
| sQ7_spl
| sQ101_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1055,f31,f945,f54,f1051,f709]) ).
fof(f1062,plain,
( ~ sQ74_spl
| sQ110_spl
| r(c,f(c))
| c = f(c)
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f981,f765]) ).
fof(f1065,plain,
! [X0] :
( sQ110_spl
| r(f(c),X0)
| r(f(f(f(f(c)))),X0)
| f(c) = X0
| f(f(f(f(c)))) = X0
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f981,f10]) ).
fof(f1066,plain,
( sQ110_spl
| ~ r(f(c),f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f981,f6]) ).
fof(f1068,plain,
( ~ sQ74_spl
| sQ110_spl
| sQ2_spl
| sQ0_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1062,f931,f31,f37,f979,f709]) ).
fof(f1071,plain,
( sQ110_spl
| sQ121_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1065,f931,f1051,f979]) ).
fof(f1072,plain,
( ~ sQ38_spl
| sQ95_spl
| r(f(c),f(f(f(f(c)))))
| f(f(c)) = f(f(f(f(c))))
| f(c) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f925,f244]) ).
fof(f1073,plain,
( ~ sQ1_spl
| sQ95_spl
| r(f(c),f(f(f(f(c)))))
| f(c) = f(f(f(f(c))))
| f(f(c)) = f(f(f(f(c))))
| ~ r(f(f(c)),c) ),
inference(resolution,[status(thm)],[f925,f224]) ).
fof(f1075,plain,
! [X0] :
( sQ95_spl
| r(f(f(f(f(c)))),X0)
| r(f(f(c)),X0)
| f(f(f(f(c)))) = X0
| f(f(c)) = X0
| f(f(c)) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f925,f10]) ).
fof(f1076,plain,
( sQ95_spl
| ~ r(f(f(f(f(c)))),f(f(c))) ),
inference(resolution,[status(thm)],[f925,f6]) ).
fof(f1077,plain,
( ~ sQ38_spl
| sQ95_spl
| sQ99_spl
| sQ93_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1072,f931,f917,f937,f923,f243]) ).
fof(f1078,plain,
( ~ sQ1_spl
| sQ95_spl
| sQ99_spl
| sQ97_spl
| sQ93_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1073,f180,f917,f931,f937,f923,f34]) ).
fof(f1080,definition,
! [X0] :
( sQ122_spl
<=> ( r(f(f(f(f(c)))),X0)
| r(f(f(c)),X0)
| f(f(f(f(c)))) = X0
| f(f(c)) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ122_spl
| r(f(f(f(f(c)))),X0)
| r(f(f(c)),X0)
| f(f(f(f(c)))) = X0
| f(f(c)) = X0 ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1083,plain,
( sQ95_spl
| sQ122_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1075,f917,f1080,f923]) ).
fof(f1084,plain,
( sQ110_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f1066,f937,f979]) ).
fof(f1088,plain,
( ~ sQ121_spl
| sQ108_spl
| r(f(c),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(c) = f(f(c)) ),
inference(resolution,[status(thm)],[f973,f1052]) ).
fof(f1089,plain,
( ~ sQ74_spl
| sQ108_spl
| r(c,f(f(c)))
| c = f(f(c))
| f(f(f(f(c)))) = f(f(c)) ),
inference(resolution,[status(thm)],[f973,f765]) ).
fof(f1090,plain,
( ~ sQ1_spl
| sQ108_spl
| r(f(c),f(f(c)))
| f(c) = f(f(c))
| f(f(f(f(c)))) = f(f(c))
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f973,f224]) ).
fof(f1091,plain,
( ~ sQ8_spl
| sQ108_spl
| r(f(c),f(f(c)))
| f(c) = f(f(c))
| f(f(f(f(c)))) = f(f(c))
| ~ r(c,f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f973,f497]) ).
fof(f1092,plain,
! [X0] :
( sQ108_spl
| r(f(f(c)),X0)
| r(f(f(f(f(c)))),X0)
| f(f(c)) = X0
| f(f(f(f(c)))) = X0
| f(f(f(f(c)))) = f(f(c)) ),
inference(resolution,[status(thm)],[f973,f10]) ).
fof(f1093,plain,
( sQ108_spl
| ~ r(f(f(c)),f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f973,f6]) ).
fof(f1094,plain,
( ~ sQ121_spl
| sQ108_spl
| sQ20_spl
| sQ93_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1088,f140,f917,f146,f971,f1051]) ).
fof(f1095,plain,
( ~ sQ74_spl
| sQ108_spl
| sQ24_spl
| sQ22_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1089,f917,f154,f160,f971,f709]) ).
fof(f1096,plain,
( ~ sQ1_spl
| sQ108_spl
| sQ20_spl
| sQ18_spl
| sQ93_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f1090,f987,f917,f140,f146,f971,f34]) ).
fof(f1097,plain,
( ~ sQ8_spl
| sQ108_spl
| sQ20_spl
| sQ18_spl
| sQ93_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1091,f951,f917,f140,f146,f971,f64]) ).
fof(f1098,plain,
( sQ108_spl
| sQ122_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1092,f917,f1080,f971]) ).
fof(f1099,plain,
( sQ108_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f1093,f923,f971]) ).
fof(f1100,plain,
( ~ sQ74_spl
| ~ sQ122_spl
| r(f(f(c)),c)
| f(f(f(f(c)))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f1081,f719]) ).
fof(f1101,plain,
( ~ sQ1_spl
| ~ sQ122_spl
| ~ r(f(f(f(f(c)))),c)
| r(f(f(c)),f(c))
| f(f(f(f(c)))) = f(c)
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f1081,f35]) ).
fof(f1102,plain,
( ~ sQ8_spl
| ~ sQ122_spl
| ~ r(c,f(f(f(f(c)))))
| r(f(f(c)),f(c))
| f(f(f(f(c)))) = f(c)
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f1081,f65]) ).
fof(f1103,plain,
( ~ sQ74_spl
| ~ sQ122_spl
| sQ29_spl
| sQ101_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f1100,f154,f945,f180,f1080,f709]) ).
fof(f1104,plain,
( ~ sQ1_spl
| ~ sQ122_spl
| ~ sQ112_spl
| sQ27_spl
| sQ97_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1101,f140,f931,f172,f987,f1080,f34]) ).
fof(f1105,plain,
( ~ sQ8_spl
| ~ sQ122_spl
| ~ sQ103_spl
| sQ27_spl
| sQ97_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1102,f140,f931,f172,f951,f1080,f64]) ).
fof(f1110,plain,
( ~ sQ73_spl
| sQ91_spl
| r(f(f(c)),f(f(f(f(c)))))
| f(f(f(c))) = f(f(f(f(c))))
| f(f(c)) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f911,f620]) ).
fof(f1111,plain,
( ~ sQ74_spl
| sQ91_spl
| r(c,f(f(f(f(c)))))
| c = f(f(f(f(c))))
| f(f(f(c))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f911,f765]) ).
fof(f1114,plain,
! [X0] :
( sQ91_spl
| r(f(f(f(f(c)))),X0)
| r(f(f(f(c))),X0)
| f(f(f(f(c)))) = X0
| f(f(f(c))) = X0
| f(f(f(c))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f911,f10]) ).
fof(f1116,plain,
( ~ sQ73_spl
| sQ91_spl
| sQ95_spl
| sQ89_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1110,f917,f903,f923,f909,f619]) ).
fof(f1117,plain,
( ~ sQ74_spl
| sQ91_spl
| sQ103_spl
| sQ101_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1111,f903,f945,f951,f909,f709]) ).
fof(f1120,definition,
! [X0] :
( sQ123_spl
<=> ( r(f(f(f(f(c)))),X0)
| r(f(f(f(c))),X0)
| f(f(f(f(c)))) = X0
| f(f(f(c))) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ123_spl
| r(f(f(f(f(c)))),X0)
| r(f(f(f(c))),X0)
| f(f(f(f(c)))) = X0
| f(f(f(c))) = X0 ),
inference(component_clause,[status(thm)],[f1120]) ).
fof(f1123,plain,
( sQ91_spl
| sQ123_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1114,f903,f1120,f909]) ).
fof(f1124,plain,
( ~ sQ103_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f952,f755]) ).
fof(f1125,plain,
( ~ sQ103_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1124]) ).
fof(f1132,plain,
( ~ sQ122_spl
| ~ sQ48_spl
| r(f(f(c)),f(f(f(c))))
| f(f(f(f(c)))) = f(f(f(c)))
| f(f(c)) = f(f(f(c)))
| ~ r(f(f(f(f(c)))),f(c)) ),
inference(resolution,[status(thm)],[f363,f1081]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ48_spl
| r(c,f(f(f(c))))
| c = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f363,f765]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ48_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f363,f224]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ48_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f363,f497]) ).
fof(f1136,plain,
! [X0,X1] :
( ~ sQ48_spl
| r(f(f(f(c))),X1)
| r(f(f(f(f(X0)))),X1)
| f(f(f(c))) = X1
| f(f(f(f(X0)))) = X1
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f363,f10]) ).
fof(f1138,plain,
( ~ sQ122_spl
| ~ sQ48_spl
| sQ43_spl
| sQ89_spl
| sQ41_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f1132,f979,f338,f903,f344,f362,f1080]) ).
fof(f1139,definition,
! [X0] :
( sQ124_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ124_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1142,plain,
( ~ sQ74_spl
| ~ sQ48_spl
| sQ51_spl
| sQ49_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f1133,f1139,f366,f372,f362,f709]) ).
fof(f1143,definition,
! [X0] :
( sQ125_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
! [X0] :
( ~ sQ125_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(component_clause,[status(thm)],[f1143]) ).
fof(f1146,plain,
( ~ sQ1_spl
| ~ sQ48_spl
| sQ47_spl
| sQ45_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1134,f1143,f352,f358,f362,f34]) ).
fof(f1147,definition,
! [X0] :
( sQ126_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
! [X0] :
( ~ sQ126_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(component_clause,[status(thm)],[f1147]) ).
fof(f1150,plain,
( ~ sQ8_spl
| ~ sQ48_spl
| sQ47_spl
| sQ45_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f1135,f1147,f352,f358,f362,f64]) ).
fof(f1151,plain,
! [X0,X1] :
( ~ sQ48_spl
| r(f(f(f(c))),X1)
| r(f(f(f(f(X0)))),X1)
| f(f(f(c))) = X1
| f(f(f(f(X0)))) = X1
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1136,f133]) ).
fof(f1152,plain,
( ~ sQ51_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f373,f755]) ).
fof(f1153,plain,
( ~ sQ51_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1152]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ124_spl
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1140,f133]) ).
fof(f1155,plain,
( ~ sQ29_spl
| ~ sQ67_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f181,f528]) ).
fof(f1156,plain,
( ~ sQ122_spl
| ~ sQ67_spl
| r(f(f(c)),c)
| f(f(f(f(c)))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f528,f1081]) ).
fof(f1162,plain,
( ~ sQ29_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f1155]) ).
fof(f1171,plain,
( ~ sQ110_spl
| ~ sQ124_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f980,f1154]) ).
fof(f1175,plain,
! [X0,X1] :
( ~ sQ124_spl
| r(f(c),X1)
| r(f(f(f(f(X0)))),X1)
| f(c) = X1
| f(f(f(f(X0)))) = X1
| f(f(f(f(X0)))) = f(c) ),
inference(resolution,[status(thm)],[f1154,f10]) ).
fof(f1176,plain,
! [X0] :
( ~ sQ124_spl
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f1154,f6]) ).
fof(f1177,plain,
( ~ sQ110_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f1171]) ).
fof(f1178,definition,
! [X0] :
( sQ127_spl
<=> f(f(f(f(X0)))) = f(c) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ127_spl
| f(f(f(f(X0)))) = f(c) ),
inference(component_clause,[status(thm)],[f1178]) ).
fof(f1182,definition,
! [X0] :
( sQ128_spl
<=> ( f(f(f(f(X0)))) = f(c)
| ~ r(c,f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ128_spl
| f(f(f(f(X0)))) = f(c)
| ~ r(c,f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f1182]) ).
fof(f1186,plain,
! [X0,X1] :
( ~ sQ124_spl
| r(f(c),X1)
| r(f(f(f(f(X0)))),X1)
| f(c) = X1
| f(f(f(f(X0)))) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1175,f13]) ).
fof(f1202,definition,
! [X0] :
( sQ129_spl
<=> f(f(f(f(X0)))) = c ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ129_spl
| f(f(f(f(X0)))) = c ),
inference(component_clause,[status(thm)],[f1202]) ).
fof(f1206,definition,
! [X0] :
( sQ130_spl
<=> ( ~ r(f(f(f(f(X0)))),c)
| f(f(f(f(X0)))) = f(c) ) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1207,plain,
! [X0] :
( ~ sQ130_spl
| ~ r(f(f(f(f(X0)))),c)
| f(f(f(f(X0)))) = f(c) ),
inference(component_clause,[status(thm)],[f1206]) ).
fof(f1211,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1179,f13]) ).
fof(f1212,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f1211]) ).
fof(f1251,plain,
( ~ sQ124_spl
| sQ106_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(c)))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f965,f1186]) ).
fof(f1252,plain,
( ~ sQ74_spl
| sQ106_spl
| r(c,f(f(f(c))))
| c = f(f(f(c)))
| f(f(f(f(c)))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f965,f765]) ).
fof(f1253,plain,
( ~ sQ1_spl
| sQ106_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(c)))) = f(f(f(c)))
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f965,f224]) ).
fof(f1255,plain,
! [X0] :
( sQ106_spl
| r(f(f(f(c))),X0)
| r(f(f(f(f(c)))),X0)
| f(f(f(c))) = X0
| f(f(f(f(c)))) = X0
| f(f(f(f(c)))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f965,f10]) ).
fof(f1256,plain,
( sQ106_spl
| ~ r(f(f(f(c))),f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f965,f6]) ).
fof(f1257,plain,
( ~ sQ124_spl
| sQ106_spl
| sQ47_spl
| sQ45_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1251,f903,f352,f358,f963,f1139]) ).
fof(f1258,plain,
( ~ sQ74_spl
| sQ106_spl
| sQ51_spl
| sQ49_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1252,f903,f366,f372,f963,f709]) ).
fof(f1259,plain,
( ~ sQ1_spl
| sQ106_spl
| sQ47_spl
| sQ45_spl
| sQ89_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f1253,f987,f903,f352,f358,f963,f34]) ).
fof(f1261,plain,
( sQ106_spl
| sQ123_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1255,f903,f1120,f963]) ).
fof(f1262,plain,
( sQ106_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f1256,f909,f963]) ).
fof(f1265,plain,
( ~ sQ1_spl
| ~ sQ123_spl
| ~ r(f(f(f(f(c)))),c)
| r(f(f(f(c))),f(c))
| f(f(f(f(c)))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f1121,f35]) ).
fof(f1266,plain,
( ~ sQ8_spl
| ~ sQ123_spl
| ~ r(c,f(f(f(f(c)))))
| r(f(f(f(c))),f(c))
| f(f(f(f(c)))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f1121,f65]) ).
fof(f1269,plain,
( ~ sQ1_spl
| ~ sQ123_spl
| ~ sQ112_spl
| sQ56_spl
| sQ97_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1265,f352,f931,f392,f987,f1120,f34]) ).
fof(f1270,plain,
( ~ sQ8_spl
| ~ sQ123_spl
| ~ sQ103_spl
| sQ56_spl
| sQ97_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1266,f352,f931,f392,f951,f1120,f64]) ).
fof(f1271,plain,
( sQ51_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f432,f400,f372]) ).
fof(f1280,plain,
( ~ sQ47_spl
| ~ sQ1_spl
| ~ r(f(f(f(c))),c) ),
inference(resolution,[status(thm)],[f223,f359]) ).
fof(f1303,plain,
( ~ sQ124_spl
| sQ115_spl
| r(f(c),f(f(f(f(c)))))
| f(c) = f(f(f(f(c))))
| f(f(f(f(c)))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f1008,f1186]) ).
fof(f1305,plain,
( ~ sQ1_spl
| sQ115_spl
| r(f(c),f(f(f(f(c)))))
| f(c) = f(f(f(f(c))))
| f(f(f(f(c)))) = f(f(f(f(c))))
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f1008,f224]) ).
fof(f1307,plain,
! [X0] :
( sQ115_spl
| r(f(f(f(f(c)))),X0)
| r(f(f(f(f(c)))),X0)
| f(f(f(f(c)))) = X0
| f(f(f(f(c)))) = X0
| f(f(f(f(c)))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f1008,f10]) ).
fof(f1309,plain,
( ~ sQ124_spl
| sQ115_spl
| sQ99_spl
| sQ97_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f1303,f1000,f931,f937,f1006,f1139]) ).
fof(f1311,plain,
( ~ sQ1_spl
| sQ115_spl
| sQ99_spl
| sQ97_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f1305,f987,f1000,f931,f937,f1006,f34]) ).
fof(f1313,definition,
! [X0] :
( sQ131_spl
<=> ( r(f(f(f(f(c)))),X0)
| r(f(f(f(f(c)))),X0)
| f(f(f(f(c)))) = X0
| f(f(f(f(c)))) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1314,plain,
! [X0] :
( ~ sQ131_spl
| r(f(f(f(f(c)))),X0)
| r(f(f(f(f(c)))),X0)
| f(f(f(f(c)))) = X0
| f(f(f(f(c)))) = X0 ),
inference(component_clause,[status(thm)],[f1313]) ).
fof(f1316,plain,
( sQ115_spl
| sQ131_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f1307,f1000,f1313,f1006]) ).
fof(f1317,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(X0)))))))
| f(f(f(f(c)))) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f892,f901]) ).
fof(f1318,plain,
! [X0] :
( ~ r(f(f(f(f(c)))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(c)))))
| f(f(f(f(c)))) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f892,f891]) ).
fof(f1319,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(c))),f(f(f(f(f(c))))))
| ~ r(f(f(f(c))),f(f(f(f(f(f(X0)))))))
| f(f(f(c))) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f892,f336]) ).
fof(f1320,plain,
! [X0] :
( ~ r(f(f(f(c))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(c))))
| f(f(f(c))) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f892,f328]) ).
fof(f1321,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(c)),f(f(f(f(f(c))))))
| ~ r(f(f(c)),f(f(f(f(f(f(X0)))))))
| f(f(c)) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f892,f138]) ).
fof(f1322,plain,
! [X0] :
( ~ r(f(f(c)),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(c)))
| f(f(c)) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f892,f132]) ).
fof(f1323,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(c),f(f(f(f(f(c))))))
| ~ r(f(c),f(f(f(f(f(f(X0)))))))
| f(c) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f892,f19]) ).
fof(f1324,plain,
! [X0] :
( ~ r(f(c),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),f(c))
| f(c) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f892,f17]) ).
fof(f1325,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(c,f(f(f(f(f(c))))))
| ~ r(c,f(f(f(f(f(f(X0)))))))
| c = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f892,f20]) ).
fof(f1326,plain,
! [X0] :
( ~ r(c,f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),c)
| c = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f892,f18]) ).
fof(f1327,plain,
! [X0,X1] :
( ~ r(f(f(f(f(f(c))))),X1)
| ~ r(f(f(f(f(f(f(X0)))))),X1)
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| f(f(f(f(f(c))))) = X1
| f(f(f(f(f(f(X0)))))) = X1 ),
inference(resolution,[status(thm)],[f892,f8]) ).
fof(f1328,plain,
! [X0] : f(f(f(f(f(f(f(X0))))))) != f(f(f(f(f(f(c)))))),
inference(resolution,[status(thm)],[f892,f12]) ).
fof(f1329,plain,
! [X0] :
( ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(c))))))
| f(f(f(f(c)))) = f(f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[f892,f901]) ).
fof(f1331,plain,
! [X0] :
( ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(f(c))),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(f(c))),f(f(f(f(f(c))))))
| f(f(f(c))) = f(f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[f892,f336]) ).
fof(f1332,plain,
! [X0] :
( ~ r(f(f(f(c))),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(f(f(f(c))))),f(f(f(c))))
| f(f(f(c))) = f(f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[f892,f328]) ).
fof(f1333,plain,
! [X0] :
( ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(c)),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(c)),f(f(f(f(f(c))))))
| f(f(c)) = f(f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[f892,f138]) ).
fof(f1334,plain,
! [X0] :
( ~ r(f(f(c)),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(f(f(f(c))))),f(f(c)))
| f(f(c)) = f(f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[f892,f132]) ).
fof(f1335,plain,
! [X0] :
( ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| ~ r(f(c),f(f(f(f(f(f(X0)))))))
| ~ r(f(c),f(f(f(f(f(c))))))
| f(c) = f(f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[f892,f19]) ).
fof(f1336,plain,
! [X0] :
( ~ r(f(c),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(f(f(f(c))))),f(c))
| f(c) = f(f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[f892,f17]) ).
fof(f1337,plain,
! [X0] :
( ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| ~ r(c,f(f(f(f(f(f(X0)))))))
| ~ r(c,f(f(f(f(f(c))))))
| c = f(f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[f892,f20]) ).
fof(f1338,plain,
! [X0] :
( ~ r(c,f(f(f(f(f(f(X0)))))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(f(f(f(c))))),c)
| c = f(f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[f892,f18]) ).
fof(f1339,plain,
! [X0,X1] :
( ~ r(f(f(f(f(f(f(X1)))))),X0)
| ~ r(f(f(f(f(f(c))))),X0)
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X1)))))))
| f(f(f(f(f(f(X1)))))) = X0
| f(f(f(f(f(c))))) = X0 ),
inference(resolution,[status(thm)],[f892,f8]) ).
fof(f1341,definition,
( sQ132_spl
<=> f(f(f(f(c)))) = f(f(f(f(f(c))))) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1342,plain,
( ~ sQ132_spl
| f(f(f(f(c)))) = f(f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f1341]) ).
fof(f1344,definition,
! [X0] :
( sQ133_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1347,definition,
( sQ134_spl
<=> r(f(f(f(f(c)))),f(f(f(f(f(c)))))) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1349,plain,
( sQ134_spl
| ~ r(f(f(f(f(c)))),f(f(f(f(f(c)))))) ),
inference(component_clause,[status(thm)],[f1347]) ).
fof(f1350,plain,
( ~ sQ134_spl
| sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1317,f1341,f1344,f1347]) ).
fof(f1351,definition,
! [X0] :
( sQ135_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(c))))) ) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1354,plain,
( ~ sQ134_spl
| sQ135_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1318,f1341,f1351,f1347]) ).
fof(f1355,definition,
( sQ136_spl
<=> f(f(f(c))) = f(f(f(f(f(c))))) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1356,plain,
( ~ sQ136_spl
| f(f(f(c))) = f(f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f1355]) ).
fof(f1358,definition,
! [X0] :
( sQ137_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(c))),f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1361,definition,
( sQ138_spl
<=> r(f(f(f(c))),f(f(f(f(f(c)))))) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1363,plain,
( sQ138_spl
| ~ r(f(f(f(c))),f(f(f(f(f(c)))))) ),
inference(component_clause,[status(thm)],[f1361]) ).
fof(f1364,plain,
( ~ sQ138_spl
| sQ137_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1319,f1355,f1358,f1361]) ).
fof(f1365,definition,
! [X0] :
( sQ139_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(c)))) ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1368,plain,
( ~ sQ138_spl
| sQ139_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1320,f1355,f1365,f1361]) ).
fof(f1369,definition,
( sQ140_spl
<=> f(f(c)) = f(f(f(f(f(c))))) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1370,plain,
( ~ sQ140_spl
| f(f(c)) = f(f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f1369]) ).
fof(f1372,definition,
! [X0] :
( sQ141_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(c)),f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1375,definition,
( sQ142_spl
<=> r(f(f(c)),f(f(f(f(f(c)))))) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1377,plain,
( sQ142_spl
| ~ r(f(f(c)),f(f(f(f(f(c)))))) ),
inference(component_clause,[status(thm)],[f1375]) ).
fof(f1378,plain,
( ~ sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1321,f1369,f1372,f1375]) ).
fof(f1379,definition,
! [X0] :
( sQ143_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1382,plain,
( ~ sQ142_spl
| sQ143_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1322,f1369,f1379,f1375]) ).
fof(f1383,definition,
( sQ144_spl
<=> f(c) = f(f(f(f(f(c))))) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1384,plain,
( ~ sQ144_spl
| f(c) = f(f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f1383]) ).
fof(f1386,definition,
! [X0] :
( sQ145_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(c),f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1389,definition,
( sQ146_spl
<=> r(f(c),f(f(f(f(f(c)))))) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1390,plain,
( ~ sQ146_spl
| r(f(c),f(f(f(f(f(c)))))) ),
inference(component_clause,[status(thm)],[f1389]) ).
fof(f1392,plain,
( ~ sQ146_spl
| sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1323,f1383,f1386,f1389]) ).
fof(f1393,definition,
! [X0] :
( sQ147_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1396,plain,
( ~ sQ146_spl
| sQ147_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1324,f1383,f1393,f1389]) ).
fof(f1397,definition,
( sQ148_spl
<=> c = f(f(f(f(f(c))))) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1398,plain,
( ~ sQ148_spl
| c = f(f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f1397]) ).
fof(f1400,definition,
! [X0] :
( sQ149_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(c,f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1403,definition,
( sQ150_spl
<=> r(c,f(f(f(f(f(c)))))) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1404,plain,
( ~ sQ150_spl
| r(c,f(f(f(f(f(c)))))) ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1405,plain,
( sQ150_spl
| ~ r(c,f(f(f(f(f(c)))))) ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1406,plain,
( ~ sQ150_spl
| sQ149_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1325,f1397,f1400,f1403]) ).
fof(f1407,definition,
! [X0] :
( sQ151_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(X0)))))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1410,plain,
( ~ sQ150_spl
| sQ151_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1326,f1397,f1407,f1403]) ).
fof(f1411,definition,
! [X0] :
( sQ152_spl
<=> ( ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(X0)))))))
| f(f(f(f(c)))) = f(f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1414,plain,
( ~ sQ134_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1329,f1411,f1347]) ).
fof(f1415,definition,
( sQ153_spl
<=> r(f(f(f(f(f(c))))),f(f(f(f(c))))) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1416,plain,
( ~ sQ153_spl
| r(f(f(f(f(f(c))))),f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f1415]) ).
fof(f1417,plain,
( sQ153_spl
| ~ r(f(f(f(f(f(c))))),f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f1415]) ).
fof(f1419,definition,
! [X0] :
( sQ154_spl
<=> ( ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(f(c))),f(f(f(f(f(f(X0)))))))
| f(f(f(c))) = f(f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1422,plain,
( ~ sQ138_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1331,f1419,f1361]) ).
fof(f1423,definition,
( sQ155_spl
<=> r(f(f(f(f(f(c))))),f(f(f(c)))) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1424,plain,
( ~ sQ155_spl
| r(f(f(f(f(f(c))))),f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f1423]) ).
fof(f1425,plain,
( sQ155_spl
| ~ r(f(f(f(f(f(c))))),f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f1423]) ).
fof(f1426,plain,
( ~ sQ155_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1332,f1419,f1423]) ).
fof(f1427,definition,
! [X0] :
( sQ156_spl
<=> ( ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| ~ r(f(f(c)),f(f(f(f(f(f(X0)))))))
| f(f(c)) = f(f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1430,plain,
( ~ sQ142_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1333,f1427,f1375]) ).
fof(f1431,definition,
( sQ157_spl
<=> r(f(f(f(f(f(c))))),f(f(c))) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1433,plain,
( sQ157_spl
| ~ r(f(f(f(f(f(c))))),f(f(c))) ),
inference(component_clause,[status(thm)],[f1431]) ).
fof(f1434,plain,
( ~ sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1334,f1427,f1431]) ).
fof(f1435,definition,
! [X0] :
( sQ158_spl
<=> ( ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| ~ r(f(c),f(f(f(f(f(f(X0)))))))
| f(c) = f(f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1438,plain,
( ~ sQ146_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1335,f1435,f1389]) ).
fof(f1439,definition,
( sQ159_spl
<=> r(f(f(f(f(f(c))))),f(c)) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1440,plain,
( ~ sQ159_spl
| r(f(f(f(f(f(c))))),f(c)) ),
inference(component_clause,[status(thm)],[f1439]) ).
fof(f1441,plain,
( sQ159_spl
| ~ r(f(f(f(f(f(c))))),f(c)) ),
inference(component_clause,[status(thm)],[f1439]) ).
fof(f1442,plain,
( ~ sQ159_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1336,f1435,f1439]) ).
fof(f1443,definition,
! [X0] :
( sQ160_spl
<=> ( ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| ~ r(c,f(f(f(f(f(f(X0)))))))
| c = f(f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1446,plain,
( ~ sQ150_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1337,f1443,f1403]) ).
fof(f1447,definition,
( sQ161_spl
<=> r(f(f(f(f(f(c))))),c) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1448,plain,
( ~ sQ161_spl
| r(f(f(f(f(f(c))))),c) ),
inference(component_clause,[status(thm)],[f1447]) ).
fof(f1449,plain,
( sQ161_spl
| ~ r(f(f(f(f(f(c))))),c) ),
inference(component_clause,[status(thm)],[f1447]) ).
fof(f1450,plain,
( ~ sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1338,f1443,f1447]) ).
fof(f1456,plain,
! [X0] :
( ~ r(f(f(f(f(f(c))))),f(f(f(c))))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(c))))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| f(f(f(f(f(c))))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f1327,f133]) ).
fof(f1457,plain,
! [X0] :
( ~ r(f(f(f(f(f(c))))),f(f(c)))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(c)))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| f(f(f(f(f(c))))) = f(f(c)) ),
inference(resolution,[status(thm)],[f1327,f15]) ).
fof(f1458,plain,
! [X0] :
( ~ r(f(f(f(f(f(c))))),f(c))
| ~ r(f(f(f(f(f(f(X0)))))),f(c))
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| f(f(f(f(f(c))))) = f(c) ),
inference(resolution,[status(thm)],[f1327,f13]) ).
fof(f1459,plain,
! [X0] :
( ~ r(f(f(f(f(f(c))))),c)
| ~ r(f(f(f(f(f(f(X0)))))),c)
| ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(f(c))))))
| f(f(f(f(f(c))))) = c ),
inference(resolution,[status(thm)],[f1327,f11]) ).
fof(f1472,plain,
( ~ sQ155_spl
| sQ139_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1456,f1355,f1365,f1423]) ).
fof(f1473,plain,
( ~ sQ157_spl
| sQ143_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1457,f1369,f1379,f1431]) ).
fof(f1474,plain,
( ~ sQ159_spl
| sQ147_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1458,f1383,f1393,f1439]) ).
fof(f1475,plain,
( ~ sQ161_spl
| sQ151_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1459,f1397,f1407,f1447]) ).
fof(f1476,plain,
( ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1398,f11]) ).
fof(f1477,plain,
~ sQ148_spl,
inference(contradiction_clause,[status(thm)],[f1476]) ).
fof(f1478,plain,
( ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1384,f13]) ).
fof(f1479,plain,
~ sQ144_spl,
inference(contradiction_clause,[status(thm)],[f1478]) ).
fof(f1480,plain,
( ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1370,f15]) ).
fof(f1481,plain,
~ sQ140_spl,
inference(contradiction_clause,[status(thm)],[f1480]) ).
fof(f1482,plain,
( ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1356,f133]) ).
fof(f1483,plain,
~ sQ136_spl,
inference(contradiction_clause,[status(thm)],[f1482]) ).
fof(f1484,plain,
( ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1342,f329]) ).
fof(f1485,plain,
~ sQ132_spl,
inference(contradiction_clause,[status(thm)],[f1484]) ).
fof(f1487,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| f(f(f(f(f(c))))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f1339,f329]) ).
fof(f1488,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(c))))
| ~ r(f(f(f(f(f(c))))),f(f(f(c))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| f(f(f(f(f(c))))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f1339,f133]) ).
fof(f1489,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(X0)))))),f(f(c)))
| ~ r(f(f(f(f(f(c))))),f(f(c)))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| f(f(f(f(f(c))))) = f(f(c)) ),
inference(resolution,[status(thm)],[f1339,f15]) ).
fof(f1490,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(X0)))))),f(c))
| ~ r(f(f(f(f(f(c))))),f(c))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| f(f(f(f(f(c))))) = f(c) ),
inference(resolution,[status(thm)],[f1339,f13]) ).
fof(f1491,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(X0)))))),c)
| ~ r(f(f(f(f(f(c))))),c)
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0)))))))
| f(f(f(f(f(c))))) = c ),
inference(resolution,[status(thm)],[f1339,f11]) ).
fof(f1497,definition,
! [X0] :
( sQ166_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1500,plain,
( ~ sQ153_spl
| sQ166_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1487,f1341,f1497,f1415]) ).
fof(f1501,definition,
! [X0] :
( sQ167_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),f(f(f(c))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1504,plain,
( ~ sQ155_spl
| sQ167_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1488,f1355,f1501,f1423]) ).
fof(f1505,definition,
! [X0] :
( sQ168_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),f(f(c)))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1508,plain,
( ~ sQ157_spl
| sQ168_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1489,f1369,f1505,f1431]) ).
fof(f1509,definition,
! [X0] :
( sQ169_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),f(c))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1512,plain,
( ~ sQ159_spl
| sQ169_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1490,f1383,f1509,f1439]) ).
fof(f1513,definition,
! [X0] :
( sQ170_spl
<=> ( ~ r(f(f(f(f(f(f(X0)))))),c)
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1516,plain,
( ~ sQ161_spl
| sQ170_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1491,f1397,f1513,f1447]) ).
fof(f1517,plain,
( ~ sQ38_spl
| sQ142_spl
| r(f(c),f(f(f(f(f(c))))))
| f(f(c)) = f(f(f(f(f(c)))))
| f(c) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f1377,f244]) ).
fof(f1520,plain,
! [X0] :
( sQ142_spl
| r(f(f(f(f(f(c))))),X0)
| r(f(f(c)),X0)
| f(f(f(f(f(c))))) = X0
| f(f(c)) = X0
| f(f(c)) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f1377,f10]) ).
fof(f1522,plain,
( ~ sQ38_spl
| sQ142_spl
| sQ146_spl
| sQ140_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1517,f1383,f1369,f1389,f1375,f243]) ).
fof(f1525,definition,
! [X0] :
( sQ171_spl
<=> ( r(f(f(f(f(f(c))))),X0)
| r(f(f(c)),X0)
| f(f(f(f(f(c))))) = X0
| f(f(c)) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ171_spl
| r(f(f(f(f(f(c))))),X0)
| r(f(f(c)),X0)
| f(f(f(f(f(c))))) = X0
| f(f(c)) = X0 ),
inference(component_clause,[status(thm)],[f1525]) ).
fof(f1528,plain,
( sQ142_spl
| sQ171_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1520,f1369,f1525,f1375]) ).
fof(f1529,plain,
( ~ sQ124_spl
| sQ157_spl
| r(f(c),f(f(c)))
| f(c) = f(f(c))
| f(f(f(f(f(c))))) = f(f(c)) ),
inference(resolution,[status(thm)],[f1433,f1186]) ).
fof(f1532,plain,
( ~ sQ8_spl
| sQ157_spl
| r(f(c),f(f(c)))
| f(c) = f(f(c))
| f(f(f(f(f(c))))) = f(f(c))
| ~ r(c,f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1433,f497]) ).
fof(f1533,plain,
! [X0] :
( sQ157_spl
| r(f(f(c)),X0)
| r(f(f(f(f(f(c))))),X0)
| f(f(c)) = X0
| f(f(f(f(f(c))))) = X0
| f(f(f(f(f(c))))) = f(f(c)) ),
inference(resolution,[status(thm)],[f1433,f10]) ).
fof(f1534,plain,
( sQ157_spl
| ~ r(f(f(c)),f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1433,f6]) ).
fof(f1535,plain,
( ~ sQ124_spl
| sQ157_spl
| sQ20_spl
| sQ18_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1529,f1369,f140,f146,f1431,f1139]) ).
fof(f1538,plain,
( ~ sQ8_spl
| sQ157_spl
| sQ20_spl
| sQ18_spl
| sQ140_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f1532,f1403,f1369,f140,f146,f1431,f64]) ).
fof(f1539,plain,
( sQ157_spl
| sQ171_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1533,f1369,f1525,f1431]) ).
fof(f1540,plain,
( sQ157_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f1534,f1375,f1431]) ).
fof(f1541,plain,
( ~ sQ146_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1390,f1176]) ).
fof(f1542,plain,
( ~ sQ146_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f1541]) ).
fof(f1545,plain,
( ~ sQ1_spl
| ~ sQ171_spl
| ~ r(f(f(f(f(f(c))))),c)
| r(f(f(c)),f(c))
| f(f(f(f(f(c))))) = f(c)
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f1526,f35]) ).
fof(f1549,plain,
( ~ sQ1_spl
| ~ sQ171_spl
| ~ sQ161_spl
| sQ27_spl
| sQ144_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1545,f140,f1383,f172,f1447,f1525,f34]) ).
fof(f1554,plain,
( ~ sQ8_spl
| sQ138_spl
| r(f(c),f(f(f(f(f(c))))))
| f(c) = f(f(f(f(f(c)))))
| f(f(f(c))) = f(f(f(f(f(c)))))
| ~ r(c,f(f(f(c)))) ),
inference(resolution,[status(thm)],[f1363,f497]) ).
fof(f1555,plain,
! [X0] :
( sQ138_spl
| r(f(f(f(f(f(c))))),X0)
| r(f(f(f(c))),X0)
| f(f(f(f(f(c))))) = X0
| f(f(f(c))) = X0
| f(f(f(c))) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f1363,f10]) ).
fof(f1560,plain,
( ~ sQ8_spl
| sQ138_spl
| sQ146_spl
| sQ144_spl
| sQ136_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1554,f372,f1355,f1383,f1389,f1361,f64]) ).
fof(f1561,definition,
! [X0] :
( sQ172_spl
<=> ( r(f(f(f(f(f(c))))),X0)
| r(f(f(f(c))),X0)
| f(f(f(f(f(c))))) = X0
| f(f(f(c))) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1562,plain,
! [X0] :
( ~ sQ172_spl
| r(f(f(f(f(f(c))))),X0)
| r(f(f(f(c))),X0)
| f(f(f(f(f(c))))) = X0
| f(f(f(c))) = X0 ),
inference(component_clause,[status(thm)],[f1561]) ).
fof(f1564,plain,
( sQ138_spl
| sQ172_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1555,f1355,f1561,f1361]) ).
fof(f1567,plain,
( ~ sQ124_spl
| sQ155_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(f(c))))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f1425,f1186]) ).
fof(f1568,plain,
( ~ sQ74_spl
| sQ155_spl
| r(c,f(f(f(c))))
| c = f(f(f(c)))
| f(f(f(f(f(c))))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f1425,f765]) ).
fof(f1569,plain,
( ~ sQ1_spl
| sQ155_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(f(c))))) = f(f(f(c)))
| ~ r(f(f(f(f(f(c))))),c) ),
inference(resolution,[status(thm)],[f1425,f224]) ).
fof(f1570,plain,
( ~ sQ8_spl
| sQ155_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(f(c))))) = f(f(f(c)))
| ~ r(c,f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1425,f497]) ).
fof(f1571,plain,
! [X0] :
( sQ155_spl
| r(f(f(f(c))),X0)
| r(f(f(f(f(f(c))))),X0)
| f(f(f(c))) = X0
| f(f(f(f(f(c))))) = X0
| f(f(f(f(f(c))))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f1425,f10]) ).
fof(f1572,plain,
( sQ155_spl
| ~ r(f(f(f(c))),f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1425,f6]) ).
fof(f1573,plain,
( ~ sQ124_spl
| sQ155_spl
| sQ47_spl
| sQ45_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1567,f1355,f352,f358,f1423,f1139]) ).
fof(f1574,plain,
( ~ sQ74_spl
| sQ155_spl
| sQ51_spl
| sQ49_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1568,f1355,f366,f372,f1423,f709]) ).
fof(f1575,plain,
( ~ sQ1_spl
| sQ155_spl
| sQ47_spl
| sQ45_spl
| sQ136_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f1569,f1447,f1355,f352,f358,f1423,f34]) ).
fof(f1576,plain,
( ~ sQ8_spl
| sQ155_spl
| sQ47_spl
| sQ45_spl
| sQ136_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f1570,f1403,f1355,f352,f358,f1423,f64]) ).
fof(f1577,plain,
( sQ155_spl
| sQ172_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1571,f1355,f1561,f1423]) ).
fof(f1578,plain,
( sQ155_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f1572,f1361,f1423]) ).
fof(f1581,plain,
( ~ sQ1_spl
| ~ sQ172_spl
| ~ r(f(f(f(f(f(c))))),c)
| r(f(f(f(c))),f(c))
| f(f(f(f(f(c))))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f1562,f35]) ).
fof(f1582,plain,
( ~ sQ8_spl
| ~ sQ172_spl
| ~ r(c,f(f(f(f(f(c))))))
| r(f(f(f(c))),f(c))
| f(f(f(f(f(c))))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f1562,f65]) ).
fof(f1585,plain,
( ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ161_spl
| sQ56_spl
| sQ144_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1581,f352,f1383,f392,f1447,f1561,f34]) ).
fof(f1586,plain,
( ~ sQ8_spl
| ~ sQ172_spl
| ~ sQ150_spl
| sQ56_spl
| sQ144_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1582,f352,f1383,f392,f1403,f1561,f64]) ).
fof(f1587,plain,
( ~ sQ124_spl
| sQ134_spl
| r(f(c),f(f(f(f(f(c))))))
| f(c) = f(f(f(f(f(c)))))
| f(f(f(f(c)))) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f1349,f1186]) ).
fof(f1589,plain,
( ~ sQ1_spl
| sQ134_spl
| r(f(c),f(f(f(f(f(c))))))
| f(c) = f(f(f(f(f(c)))))
| f(f(f(f(c)))) = f(f(f(f(f(c)))))
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f1349,f224]) ).
fof(f1590,plain,
( ~ sQ8_spl
| sQ134_spl
| r(f(c),f(f(f(f(f(c))))))
| f(c) = f(f(f(f(f(c)))))
| f(f(f(f(c)))) = f(f(f(f(f(c)))))
| ~ r(c,f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f1349,f497]) ).
fof(f1591,plain,
! [X0] :
( sQ134_spl
| r(f(f(f(f(f(c))))),X0)
| r(f(f(f(f(c)))),X0)
| f(f(f(f(f(c))))) = X0
| f(f(f(f(c)))) = X0
| f(f(f(f(c)))) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f1349,f10]) ).
fof(f1593,plain,
( ~ sQ124_spl
| sQ134_spl
| sQ146_spl
| sQ144_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1587,f1341,f1383,f1389,f1347,f1139]) ).
fof(f1595,plain,
( ~ sQ1_spl
| sQ134_spl
| sQ146_spl
| sQ144_spl
| sQ132_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f1589,f987,f1341,f1383,f1389,f1347,f34]) ).
fof(f1596,plain,
( ~ sQ8_spl
| sQ134_spl
| sQ146_spl
| sQ144_spl
| sQ132_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1590,f951,f1341,f1383,f1389,f1347,f64]) ).
fof(f1597,definition,
! [X0] :
( sQ173_spl
<=> ( r(f(f(f(f(f(c))))),X0)
| r(f(f(f(f(c)))),X0)
| f(f(f(f(f(c))))) = X0
| f(f(f(f(c)))) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ173_spl
| r(f(f(f(f(f(c))))),X0)
| r(f(f(f(f(c)))),X0)
| f(f(f(f(f(c))))) = X0
| f(f(f(f(c)))) = X0 ),
inference(component_clause,[status(thm)],[f1597]) ).
fof(f1600,plain,
( sQ134_spl
| sQ173_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1591,f1341,f1597,f1347]) ).
fof(f1601,plain,
( ~ sQ124_spl
| sQ153_spl
| r(f(c),f(f(f(f(c)))))
| f(c) = f(f(f(f(c))))
| f(f(f(f(f(c))))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f1417,f1186]) ).
fof(f1602,plain,
( ~ sQ74_spl
| sQ153_spl
| r(c,f(f(f(f(c)))))
| c = f(f(f(f(c))))
| f(f(f(f(f(c))))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f1417,f765]) ).
fof(f1603,plain,
( ~ sQ1_spl
| sQ153_spl
| r(f(c),f(f(f(f(c)))))
| f(c) = f(f(f(f(c))))
| f(f(f(f(f(c))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(c))))),c) ),
inference(resolution,[status(thm)],[f1417,f224]) ).
fof(f1604,plain,
( ~ sQ8_spl
| sQ153_spl
| r(f(c),f(f(f(f(c)))))
| f(c) = f(f(f(f(c))))
| f(f(f(f(f(c))))) = f(f(f(f(c))))
| ~ r(c,f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1417,f497]) ).
fof(f1605,plain,
! [X0] :
( sQ153_spl
| r(f(f(f(f(c)))),X0)
| r(f(f(f(f(f(c))))),X0)
| f(f(f(f(c)))) = X0
| f(f(f(f(f(c))))) = X0
| f(f(f(f(f(c))))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f1417,f10]) ).
fof(f1606,plain,
( sQ153_spl
| ~ r(f(f(f(f(c)))),f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1417,f6]) ).
fof(f1607,plain,
( ~ sQ124_spl
| sQ153_spl
| sQ99_spl
| sQ97_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1601,f1341,f931,f937,f1415,f1139]) ).
fof(f1608,plain,
( ~ sQ74_spl
| sQ153_spl
| sQ103_spl
| sQ101_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1602,f1341,f945,f951,f1415,f709]) ).
fof(f1609,plain,
( ~ sQ1_spl
| sQ153_spl
| sQ99_spl
| sQ97_spl
| sQ132_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f1603,f1447,f1341,f931,f937,f1415,f34]) ).
fof(f1610,plain,
( ~ sQ8_spl
| sQ153_spl
| sQ99_spl
| sQ97_spl
| sQ132_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f1604,f1403,f1341,f931,f937,f1415,f64]) ).
fof(f1611,plain,
( sQ153_spl
| sQ173_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1605,f1341,f1597,f1415]) ).
fof(f1612,plain,
( sQ153_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f1606,f1347,f1415]) ).
fof(f1613,plain,
( ~ sQ124_spl
| ~ sQ173_spl
| r(f(f(f(f(c)))),f(c))
| f(f(f(f(f(c))))) = f(c)
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f1598,f1154]) ).
fof(f1614,plain,
( ~ sQ74_spl
| ~ sQ173_spl
| r(f(f(f(f(c)))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(f(c)))) = c ),
inference(resolution,[status(thm)],[f1598,f719]) ).
fof(f1615,plain,
( ~ sQ1_spl
| ~ sQ173_spl
| ~ r(f(f(f(f(f(c))))),c)
| r(f(f(f(f(c)))),f(c))
| f(f(f(f(f(c))))) = f(c)
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f1598,f35]) ).
fof(f1616,plain,
( ~ sQ8_spl
| ~ sQ173_spl
| ~ r(c,f(f(f(f(f(c))))))
| r(f(f(f(f(c)))),f(c))
| f(f(f(f(f(c))))) = f(c)
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f1598,f65]) ).
fof(f1617,plain,
( ~ sQ124_spl
| ~ sQ173_spl
| sQ110_spl
| sQ144_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1613,f931,f1383,f979,f1597,f1139]) ).
fof(f1618,plain,
( ~ sQ74_spl
| ~ sQ173_spl
| sQ112_spl
| sQ148_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1614,f945,f1397,f987,f1597,f709]) ).
fof(f1619,plain,
( ~ sQ1_spl
| ~ sQ173_spl
| ~ sQ161_spl
| sQ110_spl
| sQ144_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1615,f931,f1383,f979,f1447,f1597,f34]) ).
fof(f1620,plain,
( ~ sQ8_spl
| ~ sQ173_spl
| ~ sQ150_spl
| sQ110_spl
| sQ144_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1616,f931,f1383,f979,f1403,f1597,f64]) ).
fof(f1631,definition,
! [X0] :
( sQ174_spl
<=> ( r(f(f(f(f(f(c))))),X0)
| r(f(f(f(f(f(c))))),X0)
| f(f(f(f(f(c))))) = X0
| f(f(f(f(f(c))))) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ174_spl
| r(f(f(f(f(f(c))))),X0)
| r(f(f(f(f(f(c))))),X0)
| f(f(f(f(f(c))))) = X0
| f(f(f(f(f(c))))) = X0 ),
inference(component_clause,[status(thm)],[f1631]) ).
fof(f1635,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(f(X0))))))))
| f(f(f(f(f(c))))) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1328,f1339]) ).
fof(f1636,plain,
! [X0] :
( ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(c))))))
| f(f(f(f(f(c))))) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1328,f1327]) ).
fof(f1637,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(f(X0))))))))
| f(f(f(f(c)))) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1328,f901]) ).
fof(f1638,plain,
! [X0] :
( ~ r(f(f(f(f(c)))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(c)))))
| f(f(f(f(c)))) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1328,f891]) ).
fof(f1639,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(c))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(c))),f(f(f(f(f(f(f(X0))))))))
| f(f(f(c))) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1328,f336]) ).
fof(f1640,plain,
! [X0] :
( ~ r(f(f(f(c))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(c))))
| f(f(f(c))) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1328,f328]) ).
fof(f1641,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(c)),f(f(f(f(f(f(c)))))))
| ~ r(f(f(c)),f(f(f(f(f(f(f(X0))))))))
| f(f(c)) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1328,f138]) ).
fof(f1642,plain,
! [X0] :
( ~ r(f(f(c)),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(c)))
| f(f(c)) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1328,f132]) ).
fof(f1643,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(c),f(f(f(f(f(f(c)))))))
| ~ r(f(c),f(f(f(f(f(f(f(X0))))))))
| f(c) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1328,f19]) ).
fof(f1644,plain,
! [X0] :
( ~ r(f(c),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(c))
| f(c) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1328,f17]) ).
fof(f1645,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(c,f(f(f(f(f(f(c)))))))
| ~ r(c,f(f(f(f(f(f(f(X0))))))))
| c = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1328,f20]) ).
fof(f1647,plain,
! [X0,X1] :
( ~ r(f(f(f(f(f(f(c)))))),X1)
| ~ r(f(f(f(f(f(f(f(X0))))))),X1)
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| f(f(f(f(f(f(c)))))) = X1
| f(f(f(f(f(f(f(X0))))))) = X1 ),
inference(resolution,[status(thm)],[f1328,f8]) ).
fof(f1649,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(c)))))))
| f(f(f(f(f(c))))) = f(f(f(f(f(f(f(X0))))))) ),
inference(resolution,[status(thm)],[f1328,f1339]) ).
fof(f1650,plain,
! [X0] :
( ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(c))))))
| f(f(f(f(f(c))))) = f(f(f(f(f(f(f(X0))))))) ),
inference(resolution,[status(thm)],[f1328,f1327]) ).
fof(f1651,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(c)))))))
| f(f(f(f(c)))) = f(f(f(f(f(f(f(X0))))))) ),
inference(resolution,[status(thm)],[f1328,f901]) ).
fof(f1653,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(c))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(c))),f(f(f(f(f(f(c)))))))
| f(f(f(c))) = f(f(f(f(f(f(f(X0))))))) ),
inference(resolution,[status(thm)],[f1328,f336]) ).
fof(f1654,plain,
! [X0] :
( ~ r(f(f(f(c))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(c))))
| f(f(f(c))) = f(f(f(f(f(f(f(X0))))))) ),
inference(resolution,[status(thm)],[f1328,f328]) ).
fof(f1655,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(c)),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(c)),f(f(f(f(f(f(c)))))))
| f(f(c)) = f(f(f(f(f(f(f(X0))))))) ),
inference(resolution,[status(thm)],[f1328,f138]) ).
fof(f1656,plain,
! [X0] :
( ~ r(f(f(c)),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(c)))
| f(f(c)) = f(f(f(f(f(f(f(X0))))))) ),
inference(resolution,[status(thm)],[f1328,f132]) ).
fof(f1657,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(c),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(c),f(f(f(f(f(f(c)))))))
| f(c) = f(f(f(f(f(f(f(X0))))))) ),
inference(resolution,[status(thm)],[f1328,f19]) ).
fof(f1658,plain,
! [X0] :
( ~ r(f(c),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(f(f(c)))))),f(c))
| f(c) = f(f(f(f(f(f(f(X0))))))) ),
inference(resolution,[status(thm)],[f1328,f17]) ).
fof(f1660,plain,
! [X0] :
( ~ r(c,f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(f(f(c)))))),c)
| c = f(f(f(f(f(f(f(X0))))))) ),
inference(resolution,[status(thm)],[f1328,f18]) ).
fof(f1661,plain,
! [X0,X1] :
( ~ r(f(f(f(f(f(f(f(X1))))))),X0)
| ~ r(f(f(f(f(f(f(c)))))),X0)
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X1))))))))
| f(f(f(f(f(f(f(X1))))))) = X0
| f(f(f(f(f(f(c)))))) = X0 ),
inference(resolution,[status(thm)],[f1328,f8]) ).
fof(f1663,definition,
( sQ175_spl
<=> f(f(f(f(f(c))))) = f(f(f(f(f(f(c)))))) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1664,plain,
( ~ sQ175_spl
| f(f(f(f(f(c))))) = f(f(f(f(f(f(c)))))) ),
inference(component_clause,[status(thm)],[f1663]) ).
fof(f1666,definition,
! [X0] :
( sQ176_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(f(X0)))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1669,definition,
( sQ177_spl
<=> r(f(f(f(f(f(c))))),f(f(f(f(f(f(c))))))) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1671,plain,
( sQ177_spl
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(c))))))) ),
inference(component_clause,[status(thm)],[f1669]) ).
fof(f1672,plain,
( ~ sQ177_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1635,f1663,f1666,f1669]) ).
fof(f1673,definition,
! [X0] :
( sQ178_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(c)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1676,plain,
( ~ sQ177_spl
| sQ178_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1636,f1663,f1673,f1669]) ).
fof(f1677,definition,
( sQ179_spl
<=> f(f(f(f(c)))) = f(f(f(f(f(f(c)))))) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1678,plain,
( ~ sQ179_spl
| f(f(f(f(c)))) = f(f(f(f(f(f(c)))))) ),
inference(component_clause,[status(thm)],[f1677]) ).
fof(f1680,definition,
! [X0] :
( sQ180_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(f(X0)))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1683,definition,
( sQ181_spl
<=> r(f(f(f(f(c)))),f(f(f(f(f(f(c))))))) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1685,plain,
( sQ181_spl
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(c))))))) ),
inference(component_clause,[status(thm)],[f1683]) ).
fof(f1686,plain,
( ~ sQ181_spl
| sQ180_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1637,f1677,f1680,f1683]) ).
fof(f1687,definition,
! [X0] :
( sQ182_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(c))))) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1690,plain,
( ~ sQ181_spl
| sQ182_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1638,f1677,f1687,f1683]) ).
fof(f1691,definition,
( sQ183_spl
<=> f(f(f(c))) = f(f(f(f(f(f(c)))))) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1692,plain,
( ~ sQ183_spl
| f(f(f(c))) = f(f(f(f(f(f(c)))))) ),
inference(component_clause,[status(thm)],[f1691]) ).
fof(f1694,definition,
! [X0] :
( sQ184_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(c))),f(f(f(f(f(f(f(X0)))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1697,definition,
( sQ185_spl
<=> r(f(f(f(c))),f(f(f(f(f(f(c))))))) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1698,plain,
( ~ sQ185_spl
| r(f(f(f(c))),f(f(f(f(f(f(c))))))) ),
inference(component_clause,[status(thm)],[f1697]) ).
fof(f1699,plain,
( sQ185_spl
| ~ r(f(f(f(c))),f(f(f(f(f(f(c))))))) ),
inference(component_clause,[status(thm)],[f1697]) ).
fof(f1700,plain,
( ~ sQ185_spl
| sQ184_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1639,f1691,f1694,f1697]) ).
fof(f1701,definition,
! [X0] :
( sQ186_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(c)))) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1704,plain,
( ~ sQ185_spl
| sQ186_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1640,f1691,f1701,f1697]) ).
fof(f1705,definition,
( sQ187_spl
<=> f(f(c)) = f(f(f(f(f(f(c)))))) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1706,plain,
( ~ sQ187_spl
| f(f(c)) = f(f(f(f(f(f(c)))))) ),
inference(component_clause,[status(thm)],[f1705]) ).
fof(f1708,definition,
! [X0] :
( sQ188_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(c)),f(f(f(f(f(f(f(X0)))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1711,definition,
( sQ189_spl
<=> r(f(f(c)),f(f(f(f(f(f(c))))))) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1713,plain,
( sQ189_spl
| ~ r(f(f(c)),f(f(f(f(f(f(c))))))) ),
inference(component_clause,[status(thm)],[f1711]) ).
fof(f1714,plain,
( ~ sQ189_spl
| sQ188_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1641,f1705,f1708,f1711]) ).
fof(f1715,definition,
! [X0] :
( sQ190_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1718,plain,
( ~ sQ189_spl
| sQ190_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1642,f1705,f1715,f1711]) ).
fof(f1719,definition,
( sQ191_spl
<=> f(c) = f(f(f(f(f(f(c)))))) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1720,plain,
( ~ sQ191_spl
| f(c) = f(f(f(f(f(f(c)))))) ),
inference(component_clause,[status(thm)],[f1719]) ).
fof(f1722,definition,
! [X0] :
( sQ192_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(c),f(f(f(f(f(f(f(X0)))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1725,definition,
( sQ193_spl
<=> r(f(c),f(f(f(f(f(f(c))))))) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1726,plain,
( ~ sQ193_spl
| r(f(c),f(f(f(f(f(f(c))))))) ),
inference(component_clause,[status(thm)],[f1725]) ).
fof(f1727,plain,
( sQ193_spl
| ~ r(f(c),f(f(f(f(f(f(c))))))) ),
inference(component_clause,[status(thm)],[f1725]) ).
fof(f1728,plain,
( ~ sQ193_spl
| sQ192_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1643,f1719,f1722,f1725]) ).
fof(f1729,definition,
! [X0] :
( sQ194_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1732,plain,
( ~ sQ193_spl
| sQ194_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1644,f1719,f1729,f1725]) ).
fof(f1733,definition,
( sQ195_spl
<=> c = f(f(f(f(f(f(c)))))) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1734,plain,
( ~ sQ195_spl
| c = f(f(f(f(f(f(c)))))) ),
inference(component_clause,[status(thm)],[f1733]) ).
fof(f1736,definition,
! [X0] :
( sQ196_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(c,f(f(f(f(f(f(f(X0)))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1739,definition,
( sQ197_spl
<=> r(c,f(f(f(f(f(f(c))))))) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1741,plain,
( sQ197_spl
| ~ r(c,f(f(f(f(f(f(c))))))) ),
inference(component_clause,[status(thm)],[f1739]) ).
fof(f1742,plain,
( ~ sQ197_spl
| sQ196_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1645,f1733,f1736,f1739]) ).
fof(f1743,definition,
! [X0] :
( sQ198_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1747,definition,
! [X0] :
( sQ199_spl
<=> ( ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(f(X0))))))))
| f(f(f(f(f(c))))) = f(f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1750,plain,
( ~ sQ177_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1649,f1747,f1669]) ).
fof(f1751,definition,
( sQ200_spl
<=> r(f(f(f(f(f(f(c)))))),f(f(f(f(f(c)))))) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1753,plain,
( sQ200_spl
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(c)))))) ),
inference(component_clause,[status(thm)],[f1751]) ).
fof(f1754,plain,
( ~ sQ200_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1650,f1747,f1751]) ).
fof(f1755,definition,
! [X0] :
( sQ201_spl
<=> ( ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(f(X0))))))))
| f(f(f(f(c)))) = f(f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1758,plain,
( ~ sQ181_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1651,f1755,f1683]) ).
fof(f1759,definition,
( sQ202_spl
<=> r(f(f(f(f(f(f(c)))))),f(f(f(f(c))))) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1760,plain,
( ~ sQ202_spl
| r(f(f(f(f(f(f(c)))))),f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f1759]) ).
fof(f1761,plain,
( sQ202_spl
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(c))))) ),
inference(component_clause,[status(thm)],[f1759]) ).
fof(f1763,definition,
! [X0] :
( sQ203_spl
<=> ( ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(f(c))),f(f(f(f(f(f(f(X0))))))))
| f(f(f(c))) = f(f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1766,plain,
( ~ sQ185_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1653,f1763,f1697]) ).
fof(f1767,definition,
( sQ204_spl
<=> r(f(f(f(f(f(f(c)))))),f(f(f(c)))) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1768,plain,
( ~ sQ204_spl
| r(f(f(f(f(f(f(c)))))),f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f1767]) ).
fof(f1769,plain,
( sQ204_spl
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f1767]) ).
fof(f1770,plain,
( ~ sQ204_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1654,f1763,f1767]) ).
fof(f1771,definition,
! [X0] :
( sQ205_spl
<=> ( ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(f(c)),f(f(f(f(f(f(f(X0))))))))
| f(f(c)) = f(f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1774,plain,
( ~ sQ189_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1655,f1771,f1711]) ).
fof(f1775,definition,
( sQ206_spl
<=> r(f(f(f(f(f(f(c)))))),f(f(c))) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1776,plain,
( ~ sQ206_spl
| r(f(f(f(f(f(f(c)))))),f(f(c))) ),
inference(component_clause,[status(thm)],[f1775]) ).
fof(f1777,plain,
( sQ206_spl
| ~ r(f(f(f(f(f(f(c)))))),f(f(c))) ),
inference(component_clause,[status(thm)],[f1775]) ).
fof(f1778,plain,
( ~ sQ206_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1656,f1771,f1775]) ).
fof(f1779,definition,
! [X0] :
( sQ207_spl
<=> ( ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(f(c),f(f(f(f(f(f(f(X0))))))))
| f(c) = f(f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1782,plain,
( ~ sQ193_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1657,f1779,f1725]) ).
fof(f1783,definition,
( sQ208_spl
<=> r(f(f(f(f(f(f(c)))))),f(c)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1784,plain,
( ~ sQ208_spl
| r(f(f(f(f(f(f(c)))))),f(c)) ),
inference(component_clause,[status(thm)],[f1783]) ).
fof(f1785,plain,
( sQ208_spl
| ~ r(f(f(f(f(f(f(c)))))),f(c)) ),
inference(component_clause,[status(thm)],[f1783]) ).
fof(f1786,plain,
( ~ sQ208_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1658,f1779,f1783]) ).
fof(f1787,definition,
! [X0] :
( sQ209_spl
<=> ( ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| ~ r(c,f(f(f(f(f(f(f(X0))))))))
| c = f(f(f(f(f(f(f(X0))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1791,definition,
( sQ210_spl
<=> r(f(f(f(f(f(f(c)))))),c) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1792,plain,
( ~ sQ210_spl
| r(f(f(f(f(f(f(c)))))),c) ),
inference(component_clause,[status(thm)],[f1791]) ).
fof(f1793,plain,
( sQ210_spl
| ~ r(f(f(f(f(f(f(c)))))),c) ),
inference(component_clause,[status(thm)],[f1791]) ).
fof(f1794,plain,
( ~ sQ210_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1660,f1787,f1791]) ).
fof(f1799,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| f(f(f(f(f(f(c)))))) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1647,f1328]) ).
fof(f1800,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| f(f(f(f(f(f(c)))))) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f1647,f892]) ).
fof(f1802,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(c)))))),f(f(f(c))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(c))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| f(f(f(f(f(f(c)))))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f1647,f133]) ).
fof(f1803,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(c)))))),f(f(c)))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(c)))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| f(f(f(f(f(f(c)))))) = f(f(c)) ),
inference(resolution,[status(thm)],[f1647,f15]) ).
fof(f1804,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(c)))))),f(c))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(c))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| f(f(f(f(f(f(c)))))) = f(c) ),
inference(resolution,[status(thm)],[f1647,f13]) ).
fof(f1805,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(c)))))),c)
| ~ r(f(f(f(f(f(f(f(X0))))))),c)
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| f(f(f(f(f(f(c)))))) = c ),
inference(resolution,[status(thm)],[f1647,f11]) ).
fof(f1807,definition,
( sQ211_spl
<=> f(f(f(f(f(f(c)))))) = f(f(f(f(f(f(c)))))) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1810,definition,
! [X0] :
( sQ212_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1813,definition,
( sQ213_spl
<=> r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(c))))))) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1815,plain,
( sQ213_spl
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(c))))))) ),
inference(component_clause,[status(thm)],[f1813]) ).
fof(f1816,plain,
( ~ sQ213_spl
| sQ212_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1799,f1807,f1810,f1813]) ).
fof(f1817,plain,
( ~ sQ200_spl
| sQ178_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1800,f1663,f1673,f1751]) ).
fof(f1819,plain,
( ~ sQ204_spl
| sQ186_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1802,f1691,f1701,f1767]) ).
fof(f1820,plain,
( ~ sQ206_spl
| sQ190_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1803,f1705,f1715,f1775]) ).
fof(f1821,plain,
( ~ sQ208_spl
| sQ194_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1804,f1719,f1729,f1783]) ).
fof(f1822,plain,
( ~ sQ210_spl
| sQ198_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1805,f1733,f1743,f1791]) ).
fof(f1823,plain,
( ~ sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1734,f11]) ).
fof(f1824,plain,
~ sQ195_spl,
inference(contradiction_clause,[status(thm)],[f1823]) ).
fof(f1825,plain,
( ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1720,f13]) ).
fof(f1826,plain,
~ sQ191_spl,
inference(contradiction_clause,[status(thm)],[f1825]) ).
fof(f1827,plain,
( ~ sQ187_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1706,f15]) ).
fof(f1828,plain,
~ sQ187_spl,
inference(contradiction_clause,[status(thm)],[f1827]) ).
fof(f1829,plain,
( ~ sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1692,f133]) ).
fof(f1830,plain,
~ sQ183_spl,
inference(contradiction_clause,[status(thm)],[f1829]) ).
fof(f1831,plain,
( ~ sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1678,f329]) ).
fof(f1832,plain,
~ sQ179_spl,
inference(contradiction_clause,[status(thm)],[f1831]) ).
fof(f1833,plain,
( ~ sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1664,f892]) ).
fof(f1834,plain,
~ sQ175_spl,
inference(contradiction_clause,[status(thm)],[f1833]) ).
fof(f1835,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| f(f(f(f(f(f(c)))))) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1661,f1328]) ).
fof(f1836,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| f(f(f(f(f(f(c)))))) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f1661,f892]) ).
fof(f1837,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| f(f(f(f(f(f(c)))))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f1661,f329]) ).
fof(f1838,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(c))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(c))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| f(f(f(f(f(f(c)))))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f1661,f133]) ).
fof(f1839,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(c)))
| ~ r(f(f(f(f(f(f(c)))))),f(f(c)))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| f(f(f(f(f(f(c)))))) = f(f(c)) ),
inference(resolution,[status(thm)],[f1661,f15]) ).
fof(f1840,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(f(X0))))))),f(c))
| ~ r(f(f(f(f(f(f(c)))))),f(c))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| f(f(f(f(f(f(c)))))) = f(c) ),
inference(resolution,[status(thm)],[f1661,f13]) ).
fof(f1841,plain,
! [X0] :
( ~ r(f(f(f(f(f(f(f(X0))))))),c)
| ~ r(f(f(f(f(f(f(c)))))),c)
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0))))))))
| f(f(f(f(f(f(c)))))) = c ),
inference(resolution,[status(thm)],[f1661,f11]) ).
fof(f1843,definition,
! [X0] :
( sQ214_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(f(c)))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0)))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1846,plain,
( ~ sQ213_spl
| sQ214_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1835,f1807,f1843,f1813]) ).
fof(f1847,definition,
! [X0] :
( sQ215_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(f(c))))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0)))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1850,plain,
( ~ sQ200_spl
| sQ215_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1836,f1663,f1847,f1751]) ).
fof(f1851,definition,
! [X0] :
( sQ216_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(f(c)))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0)))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1854,plain,
( ~ sQ202_spl
| sQ216_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1837,f1677,f1851,f1759]) ).
fof(f1855,definition,
! [X0] :
( sQ217_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(f(c))))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0)))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1858,plain,
( ~ sQ204_spl
| sQ217_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1838,f1691,f1855,f1767]) ).
fof(f1859,definition,
! [X0] :
( sQ218_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(f(c)))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0)))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1862,plain,
( ~ sQ206_spl
| sQ218_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1839,f1705,f1859,f1775]) ).
fof(f1863,definition,
! [X0] :
( sQ219_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),f(c))
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0)))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1866,plain,
( ~ sQ208_spl
| sQ219_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1840,f1719,f1863,f1783]) ).
fof(f1867,definition,
! [X0] :
( sQ220_spl
<=> ( ~ r(f(f(f(f(f(f(f(X0))))))),c)
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(f(f(f(f(X0)))))))) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1870,plain,
( ~ sQ210_spl
| sQ220_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1841,f1733,f1867,f1791]) ).
fof(f1871,plain,
( ~ sQ38_spl
| sQ189_spl
| r(f(c),f(f(f(f(f(f(c)))))))
| f(f(c)) = f(f(f(f(f(f(c))))))
| f(c) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1713,f244]) ).
fof(f1874,plain,
! [X0] :
( sQ189_spl
| r(f(f(f(f(f(f(c)))))),X0)
| r(f(f(c)),X0)
| f(f(f(f(f(f(c)))))) = X0
| f(f(c)) = X0
| f(f(c)) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1713,f10]) ).
fof(f1876,plain,
( ~ sQ38_spl
| sQ189_spl
| sQ193_spl
| sQ187_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1871,f1719,f1705,f1725,f1711,f243]) ).
fof(f1879,definition,
! [X0] :
( sQ221_spl
<=> ( r(f(f(f(f(f(f(c)))))),X0)
| r(f(f(c)),X0)
| f(f(f(f(f(f(c)))))) = X0
| f(f(c)) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1880,plain,
! [X0] :
( ~ sQ221_spl
| r(f(f(f(f(f(f(c)))))),X0)
| r(f(f(c)),X0)
| f(f(f(f(f(f(c)))))) = X0
| f(f(c)) = X0 ),
inference(component_clause,[status(thm)],[f1879]) ).
fof(f1882,plain,
( sQ189_spl
| sQ221_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1874,f1705,f1879,f1711]) ).
fof(f1887,plain,
! [X0] :
( sQ206_spl
| r(f(f(c)),X0)
| r(f(f(f(f(f(f(c)))))),X0)
| f(f(c)) = X0
| f(f(f(f(f(f(c)))))) = X0
| f(f(f(f(f(f(c)))))) = f(f(c)) ),
inference(resolution,[status(thm)],[f1777,f10]) ).
fof(f1888,plain,
( sQ206_spl
| ~ r(f(f(c)),f(f(f(f(f(f(c))))))) ),
inference(resolution,[status(thm)],[f1777,f6]) ).
fof(f1893,plain,
( sQ206_spl
| sQ221_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1887,f1705,f1879,f1775]) ).
fof(f1894,plain,
( sQ206_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f1888,f1711,f1775]) ).
fof(f1895,plain,
( ~ sQ193_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1726,f1176]) ).
fof(f1896,plain,
( ~ sQ193_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f1895]) ).
fof(f1897,plain,
( ~ sQ124_spl
| ~ sQ221_spl
| r(f(f(c)),f(c))
| f(f(f(f(f(f(c)))))) = f(c)
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f1880,f1154]) ).
fof(f1899,plain,
( ~ sQ1_spl
| ~ sQ221_spl
| ~ r(f(f(f(f(f(f(c)))))),c)
| r(f(f(c)),f(c))
| f(f(f(f(f(f(c)))))) = f(c)
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f1880,f35]) ).
fof(f1900,plain,
( ~ sQ8_spl
| ~ sQ221_spl
| ~ r(c,f(f(f(f(f(f(c)))))))
| r(f(f(c)),f(c))
| f(f(f(f(f(f(c)))))) = f(c)
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f1880,f65]) ).
fof(f1901,plain,
( ~ sQ124_spl
| ~ sQ221_spl
| sQ27_spl
| sQ191_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1897,f140,f1719,f172,f1879,f1139]) ).
fof(f1903,plain,
( ~ sQ1_spl
| ~ sQ221_spl
| ~ sQ210_spl
| sQ27_spl
| sQ191_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1899,f140,f1719,f172,f1791,f1879,f34]) ).
fof(f1904,plain,
( ~ sQ8_spl
| ~ sQ221_spl
| ~ sQ197_spl
| sQ27_spl
| sQ191_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1900,f140,f1719,f172,f1739,f1879,f64]) ).
fof(f1905,plain,
( ~ sQ73_spl
| sQ185_spl
| r(f(f(c)),f(f(f(f(f(f(c)))))))
| f(f(f(c))) = f(f(f(f(f(f(c))))))
| f(f(c)) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1699,f620]) ).
fof(f1909,plain,
! [X0] :
( sQ185_spl
| r(f(f(f(f(f(f(c)))))),X0)
| r(f(f(f(c))),X0)
| f(f(f(f(f(f(c)))))) = X0
| f(f(f(c))) = X0
| f(f(f(c))) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1699,f10]) ).
fof(f1911,plain,
( ~ sQ73_spl
| sQ185_spl
| sQ189_spl
| sQ183_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1905,f1705,f1691,f1711,f1697,f619]) ).
fof(f1915,definition,
! [X0] :
( sQ222_spl
<=> ( r(f(f(f(f(f(f(c)))))),X0)
| r(f(f(f(c))),X0)
| f(f(f(f(f(f(c)))))) = X0
| f(f(f(c))) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1916,plain,
! [X0] :
( ~ sQ222_spl
| r(f(f(f(f(f(f(c)))))),X0)
| r(f(f(f(c))),X0)
| f(f(f(f(f(f(c)))))) = X0
| f(f(f(c))) = X0 ),
inference(component_clause,[status(thm)],[f1915]) ).
fof(f1918,plain,
( sQ185_spl
| sQ222_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1909,f1691,f1915,f1697]) ).
fof(f1923,plain,
( ~ sQ1_spl
| sQ204_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(f(f(c)))))) = f(f(f(c)))
| ~ r(f(f(f(f(f(f(c)))))),c) ),
inference(resolution,[status(thm)],[f1769,f224]) ).
fof(f1924,plain,
( ~ sQ8_spl
| sQ204_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(f(f(c)))))) = f(f(f(c)))
| ~ r(c,f(f(f(f(f(f(c))))))) ),
inference(resolution,[status(thm)],[f1769,f497]) ).
fof(f1925,plain,
! [X0] :
( sQ204_spl
| r(f(f(f(c))),X0)
| r(f(f(f(f(f(f(c)))))),X0)
| f(f(f(c))) = X0
| f(f(f(f(f(f(c)))))) = X0
| f(f(f(f(f(f(c)))))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f1769,f10]) ).
fof(f1926,plain,
( sQ204_spl
| ~ r(f(f(f(c))),f(f(f(f(f(f(c))))))) ),
inference(resolution,[status(thm)],[f1769,f6]) ).
fof(f1929,plain,
( ~ sQ1_spl
| sQ204_spl
| sQ47_spl
| sQ45_spl
| sQ183_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f1923,f1791,f1691,f352,f358,f1767,f34]) ).
fof(f1930,plain,
( ~ sQ8_spl
| sQ204_spl
| sQ47_spl
| sQ45_spl
| sQ183_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f1924,f1739,f1691,f352,f358,f1767,f64]) ).
fof(f1931,plain,
( sQ204_spl
| sQ222_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1925,f1691,f1915,f1767]) ).
fof(f1932,plain,
( sQ204_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f1926,f1697,f1767]) ).
fof(f1933,plain,
( ~ sQ124_spl
| ~ sQ222_spl
| r(f(f(f(c))),f(c))
| f(f(f(f(f(f(c)))))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f1916,f1154]) ).
fof(f1935,plain,
( ~ sQ1_spl
| ~ sQ222_spl
| ~ r(f(f(f(f(f(f(c)))))),c)
| r(f(f(f(c))),f(c))
| f(f(f(f(f(f(c)))))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f1916,f35]) ).
fof(f1936,plain,
( ~ sQ8_spl
| ~ sQ222_spl
| ~ r(c,f(f(f(f(f(f(c)))))))
| r(f(f(f(c))),f(c))
| f(f(f(f(f(f(c)))))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f1916,f65]) ).
fof(f1937,plain,
( ~ sQ124_spl
| ~ sQ222_spl
| sQ56_spl
| sQ191_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1933,f352,f1719,f392,f1915,f1139]) ).
fof(f1939,plain,
( ~ sQ1_spl
| ~ sQ222_spl
| ~ sQ210_spl
| sQ56_spl
| sQ191_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1935,f352,f1719,f392,f1791,f1915,f34]) ).
fof(f1940,plain,
( ~ sQ8_spl
| ~ sQ222_spl
| ~ sQ197_spl
| sQ56_spl
| sQ191_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1936,f352,f1719,f392,f1739,f1915,f64]) ).
fof(f1941,plain,
( ~ sQ153_spl
| ~ sQ96_spl
| ~ r(f(f(f(f(f(c))))),f(f(c))) ),
inference(resolution,[status(thm)],[f928,f1416]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ96_spl
| r(f(c),f(f(f(f(c)))))
| f(c) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),c)
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ),
inference(resolution,[status(thm)],[f928,f224]) ).
fof(f1945,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ96_spl
| r(f(c),f(f(f(f(c)))))
| f(c) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(c,f(f(f(f(f(X0))))))
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ),
inference(resolution,[status(thm)],[f928,f497]) ).
fof(f1946,plain,
! [X0,X1] :
( ~ sQ96_spl
| r(f(f(f(f(c)))),X1)
| r(f(f(f(f(f(X0))))),X1)
| f(f(f(f(c)))) = X1
| f(f(f(f(f(X0))))) = X1
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ),
inference(resolution,[status(thm)],[f928,f10]) ).
fof(f1948,plain,
( ~ sQ153_spl
| ~ sQ96_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f1941,f1431,f927,f1415]) ).
fof(f1954,definition,
! [X0] :
( sQ224_spl
<=> ( f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),c)
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1957,plain,
( ~ sQ1_spl
| ~ sQ96_spl
| sQ99_spl
| sQ97_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1944,f1954,f931,f937,f927,f34]) ).
fof(f1958,definition,
! [X0] :
( sQ225_spl
<=> ( f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(c,f(f(f(f(f(X0))))))
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1961,plain,
( ~ sQ8_spl
| ~ sQ96_spl
| sQ99_spl
| sQ97_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1945,f1958,f931,f937,f927,f64]) ).
fof(f1962,plain,
! [X0,X1] :
( ~ sQ96_spl
| r(f(f(f(f(c)))),X1)
| r(f(f(f(f(f(X0))))),X1)
| f(f(f(f(c)))) = X1
| f(f(f(f(f(X0))))) = X1
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1946,f329]) ).
fof(f1974,plain,
! [X0] :
( ~ sQ96_spl
| ~ r(f(f(f(f(f(X0))))),f(f(c)))
| r(f(f(f(f(c)))),f(f(f(f(c)))))
| f(f(f(f(c)))) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ),
inference(resolution,[status(thm)],[f1962,f928]) ).
fof(f1976,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ96_spl
| ~ r(f(f(f(f(f(X0))))),c)
| r(f(f(f(f(c)))),f(c))
| f(f(f(f(c)))) = f(c)
| f(f(f(f(f(X0))))) = f(c)
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ),
inference(resolution,[status(thm)],[f1962,f35]) ).
fof(f1977,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ96_spl
| ~ r(c,f(f(f(f(f(X0))))))
| r(f(f(f(f(c)))),f(c))
| f(f(f(f(c)))) = f(c)
| f(f(f(f(f(X0))))) = f(c)
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ),
inference(resolution,[status(thm)],[f1962,f65]) ).
fof(f1978,definition,
! [X0] :
( sQ226_spl
<=> ( ~ r(f(f(f(f(f(X0))))),f(f(c)))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1981,plain,
( ~ sQ96_spl
| sQ115_spl
| sQ113_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f1974,f1978,f1000,f1006,f927]) ).
fof(f1986,definition,
! [X0] :
( sQ228_spl
<=> ( ~ r(f(f(f(f(f(X0))))),c)
| f(f(f(f(f(X0))))) = f(c)
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1989,plain,
( ~ sQ1_spl
| ~ sQ96_spl
| sQ110_spl
| sQ97_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1976,f1986,f931,f979,f927,f34]) ).
fof(f1990,definition,
! [X0] :
( sQ229_spl
<=> ( ~ r(c,f(f(f(f(f(X0))))))
| f(f(f(f(f(X0))))) = f(c)
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1993,plain,
( ~ sQ8_spl
| ~ sQ96_spl
| sQ110_spl
| sQ97_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1977,f1990,f931,f979,f927,f64]) ).
fof(f2005,plain,
( ~ sQ74_spl
| sQ47_spl
| r(c,f(c))
| c = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f686,f765]) ).
fof(f2011,plain,
( ~ sQ74_spl
| sQ47_spl
| sQ2_spl
| sQ0_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f2005,f352,f31,f37,f358,f709]) ).
fof(f2016,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ44_spl
| r(f(f(f(f(c)))),f(f(f(c))))
| f(f(f(f(c)))) = f(f(f(c)))
| f(f(f(f(f(X0))))) = f(f(f(c)))
| ~ r(f(f(f(f(f(X0))))),f(f(c)))
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ),
inference(resolution,[status(thm)],[f349,f1962]) ).
fof(f2017,plain,
( ~ sQ106_spl
| ~ sQ44_spl
| ~ r(f(f(f(f(c)))),f(f(c))) ),
inference(resolution,[status(thm)],[f349,f964]) ).
fof(f2018,plain,
( ~ sQ121_spl
| ~ sQ44_spl
| r(f(c),f(f(f(c))))
| f(f(f(f(c)))) = f(f(f(c)))
| f(c) = f(f(f(c)))
| ~ r(f(f(f(f(c)))),f(f(c))) ),
inference(resolution,[status(thm)],[f349,f1052]) ).
fof(f2019,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ44_spl
| r(c,f(f(f(c))))
| c = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(resolution,[status(thm)],[f349,f765]) ).
fof(f2020,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ44_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(resolution,[status(thm)],[f349,f224]) ).
fof(f2021,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ44_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(resolution,[status(thm)],[f349,f497]) ).
fof(f2022,plain,
! [X0,X1] :
( ~ sQ44_spl
| r(f(f(f(c))),X1)
| r(f(f(f(f(X0)))),X1)
| f(f(f(c))) = X1
| f(f(f(f(X0)))) = X1
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(resolution,[status(thm)],[f349,f10]) ).
fof(f2024,definition,
! [X0] :
( sQ230_spl
<=> ( f(f(f(f(f(X0))))) = f(f(f(c)))
| ~ r(f(f(f(f(f(X0))))),f(f(c)))
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2027,plain,
( ~ sQ96_spl
| ~ sQ44_spl
| sQ106_spl
| sQ89_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2016,f2024,f903,f963,f348,f927]) ).
fof(f2028,plain,
( ~ sQ106_spl
| ~ sQ44_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f2017,f971,f348,f963]) ).
fof(f2029,plain,
( ~ sQ121_spl
| ~ sQ44_spl
| sQ47_spl
| sQ89_spl
| sQ45_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f2018,f971,f352,f903,f358,f348,f1051]) ).
fof(f2030,definition,
! [X0] :
( sQ231_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2031,plain,
! [X0] :
( ~ sQ231_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(component_clause,[status(thm)],[f2030]) ).
fof(f2033,plain,
( ~ sQ74_spl
| ~ sQ44_spl
| sQ51_spl
| sQ49_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2019,f2030,f366,f372,f348,f709]) ).
fof(f2034,definition,
! [X0] :
( sQ232_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2037,plain,
( ~ sQ1_spl
| ~ sQ44_spl
| sQ47_spl
| sQ45_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f2020,f2034,f352,f358,f348,f34]) ).
fof(f2038,definition,
! [X0] :
( sQ233_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2041,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ47_spl
| sQ45_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f2021,f2038,f352,f358,f348,f64]) ).
fof(f2042,plain,
! [X0,X1] :
( ~ sQ44_spl
| r(f(f(f(c))),X1)
| r(f(f(f(f(X0)))),X1)
| f(f(f(c))) = X1
| f(f(f(f(X0)))) = X1
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2022,f133]) ).
fof(f2043,plain,
! [X0] :
( ~ sQ231_spl
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2031,f133]) ).
fof(f2044,plain,
( ~ sQ44_spl
| ~ sQ122_spl
| ~ r(f(f(f(f(c)))),f(f(c)))
| r(f(f(c)),f(f(f(c))))
| f(f(f(f(c)))) = f(f(f(c)))
| f(f(c)) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f1081,f349]) ).
fof(f2048,plain,
( ~ sQ44_spl
| ~ sQ122_spl
| ~ sQ108_spl
| sQ43_spl
| sQ89_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f2044,f338,f903,f344,f971,f1080,f348]) ).
fof(f2070,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ44_spl
| ~ r(f(f(f(f(X0)))),c)
| r(f(f(f(c))),f(c))
| f(f(f(c))) = f(c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(resolution,[status(thm)],[f2042,f35]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ44_spl
| ~ r(c,f(f(f(f(X0)))))
| r(f(f(f(c))),f(c))
| f(f(f(c))) = f(c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(resolution,[status(thm)],[f2042,f65]) ).
fof(f2076,definition,
! [X0] :
( sQ235_spl
<=> ( f(f(f(f(X0)))) = c
| ~ r(f(f(f(f(X0)))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2077,plain,
! [X0] :
( ~ sQ235_spl
| f(f(f(f(X0)))) = c
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(component_clause,[status(thm)],[f2076]) ).
fof(f2080,definition,
! [X0] :
( sQ236_spl
<=> ( ~ r(f(f(f(f(X0)))),c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2083,plain,
( ~ sQ1_spl
| ~ sQ44_spl
| sQ56_spl
| sQ45_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f2070,f2080,f352,f392,f348,f34]) ).
fof(f2084,definition,
! [X0] :
( sQ237_spl
<=> ( ~ r(c,f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2087,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ56_spl
| sQ45_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f2071,f2084,f352,f392,f348,f64]) ).
fof(f2088,plain,
! [X0] :
( ~ sQ235_spl
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2077,f11]) ).
fof(f2089,plain,
( ~ sQ1_spl
| ~ sQ99_spl
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f938,f223]) ).
fof(f2091,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f980,f35]) ).
fof(f2093,plain,
( ~ sQ221_spl
| ~ sQ231_spl
| r(f(f(c)),f(f(c)))
| f(f(f(f(f(f(c)))))) = f(f(c))
| f(f(c)) = f(f(c)) ),
inference(resolution,[status(thm)],[f2043,f1880]) ).
fof(f2097,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ231_spl
| r(f(c),f(f(c)))
| f(c) = f(f(c))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f2043,f224]) ).
fof(f2099,plain,
! [X0,X1] :
( ~ sQ231_spl
| r(f(f(c)),X1)
| r(f(f(f(f(X0)))),X1)
| f(f(c)) = X1
| f(f(f(f(X0)))) = X1
| f(f(f(f(X0)))) = f(f(c)) ),
inference(resolution,[status(thm)],[f2043,f10]) ).
fof(f2100,plain,
! [X0] :
( ~ sQ231_spl
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f2043,f6]) ).
fof(f2101,plain,
( ~ sQ221_spl
| ~ sQ231_spl
| sQ32_spl
| sQ187_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f2093,f190,f1705,f196,f2030,f1879]) ).
fof(f2104,definition,
! [X0] :
( sQ238_spl
<=> f(f(f(f(X0)))) = f(f(c)) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2105,plain,
! [X0] :
( ~ sQ238_spl
| f(f(f(f(X0)))) = f(f(c)) ),
inference(component_clause,[status(thm)],[f2104]) ).
fof(f2108,definition,
! [X0] :
( sQ239_spl
<=> ( f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2109,plain,
! [X0] :
( ~ sQ239_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),c) ),
inference(component_clause,[status(thm)],[f2108]) ).
fof(f2111,plain,
( ~ sQ1_spl
| ~ sQ231_spl
| sQ20_spl
| sQ18_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2097,f2108,f140,f146,f2030,f34]) ).
fof(f2112,definition,
! [X0] :
( sQ240_spl
<=> ( f(f(f(f(X0)))) = f(f(c))
| ~ r(c,f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2113,plain,
! [X0] :
( ~ sQ240_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(c,f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f2112]) ).
fof(f2116,plain,
! [X0,X1] :
( ~ sQ231_spl
| r(f(f(c)),X1)
| r(f(f(f(f(X0)))),X1)
| f(f(c)) = X1
| f(f(f(f(X0)))) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f2099,f15]) ).
fof(f2125,plain,
( ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1203,f11]) ).
fof(f2126,plain,
~ sQ129_spl,
inference(contradiction_clause,[status(thm)],[f2125]) ).
fof(f2127,plain,
( ~ sQ238_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2105,f15]) ).
fof(f2128,plain,
~ sQ238_spl,
inference(contradiction_clause,[status(thm)],[f2127]) ).
fof(f2131,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ231_spl
| r(f(c),f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0))))
| f(f(c)) = f(f(f(f(X0))))
| ~ r(c,f(f(c))) ),
inference(resolution,[status(thm)],[f2100,f497]) ).
fof(f2135,definition,
! [X0] :
( sQ241_spl
<=> ( r(f(c),f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0))))
| f(f(c)) = f(f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2136,plain,
! [X0] :
( ~ sQ241_spl
| r(f(c),f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0))))
| f(f(c)) = f(f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f2135]) ).
fof(f2139,plain,
( ~ sQ8_spl
| ~ sQ231_spl
| sQ241_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2131,f160,f2135,f2030,f64]) ).
fof(f2140,plain,
! [X0] :
( ~ sQ241_spl
| r(f(c),f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2136,f15]) ).
fof(f2141,plain,
! [X0] :
( ~ sQ241_spl
| r(f(c),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2140,f13]) ).
fof(f2144,plain,
( ~ sQ185_spl
| ~ sQ55_spl
| ~ sQ241_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1698,f2147]) ).
fof(f2147,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ241_spl
| ~ r(f(f(f(c))),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f405,f2141]) ).
fof(f2154,plain,
( ~ sQ185_spl
| ~ sQ55_spl
| ~ sQ241_spl ),
inference(contradiction_clause,[status(thm)],[f2144]) ).
fof(f2180,plain,
! [X0] :
( sQ159_spl
| r(f(c),X0)
| r(f(f(f(f(f(c))))),X0)
| f(c) = X0
| f(f(f(f(f(c))))) = X0
| f(f(f(f(f(c))))) = f(c) ),
inference(resolution,[status(thm)],[f1441,f10]) ).
fof(f2181,plain,
( sQ159_spl
| ~ r(f(c),f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1441,f6]) ).
fof(f2186,definition,
! [X0] :
( sQ242_spl
<=> ( r(f(c),X0)
| r(f(f(f(f(f(c))))),X0)
| f(c) = X0
| f(f(f(f(f(c))))) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2187,plain,
! [X0] :
( ~ sQ242_spl
| r(f(c),X0)
| r(f(f(f(f(f(c))))),X0)
| f(c) = X0
| f(f(f(f(f(c))))) = X0 ),
inference(component_clause,[status(thm)],[f2186]) ).
fof(f2189,plain,
( sQ159_spl
| sQ242_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f2180,f1383,f2186,f1439]) ).
fof(f2190,plain,
( sQ159_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f2181,f1389,f1439]) ).
fof(f2193,plain,
( ~ sQ231_spl
| sQ208_spl
| r(f(f(c)),f(c))
| f(f(c)) = f(c)
| f(f(f(f(f(f(c)))))) = f(c) ),
inference(resolution,[status(thm)],[f1785,f2116]) ).
fof(f2197,plain,
! [X0] :
( sQ208_spl
| r(f(c),X0)
| r(f(f(f(f(f(f(c)))))),X0)
| f(c) = X0
| f(f(f(f(f(f(c)))))) = X0
| f(f(f(f(f(f(c)))))) = f(c) ),
inference(resolution,[status(thm)],[f1785,f10]) ).
fof(f2198,plain,
( sQ208_spl
| ~ r(f(c),f(f(f(f(f(f(c))))))) ),
inference(resolution,[status(thm)],[f1785,f6]) ).
fof(f2199,plain,
( ~ sQ231_spl
| sQ208_spl
| sQ27_spl
| sQ18_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f2193,f1719,f140,f172,f1783,f2030]) ).
fof(f2203,definition,
! [X0] :
( sQ243_spl
<=> ( r(f(c),X0)
| r(f(f(f(f(f(f(c)))))),X0)
| f(c) = X0
| f(f(f(f(f(f(c)))))) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2204,plain,
! [X0] :
( ~ sQ243_spl
| r(f(c),X0)
| r(f(f(f(f(f(f(c)))))),X0)
| f(c) = X0
| f(f(f(f(f(f(c)))))) = X0 ),
inference(component_clause,[status(thm)],[f2203]) ).
fof(f2206,plain,
( sQ208_spl
| sQ243_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f2197,f1719,f2203,f1783]) ).
fof(f2207,plain,
( sQ208_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f2198,f1725,f1783]) ).
fof(f2208,plain,
( ~ sQ206_spl
| ~ sQ231_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1776,f2043]) ).
fof(f2209,plain,
( ~ sQ206_spl
| ~ sQ231_spl ),
inference(contradiction_clause,[status(thm)],[f2208]) ).
fof(f2212,plain,
( ~ sQ231_spl
| sQ181_spl
| r(f(f(c)),f(f(f(f(f(f(c)))))))
| f(f(c)) = f(f(f(f(f(f(c))))))
| f(f(f(f(c)))) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1685,f2116]) ).
fof(f2214,plain,
( ~ sQ1_spl
| sQ181_spl
| r(f(c),f(f(f(f(f(f(c)))))))
| f(c) = f(f(f(f(f(f(c))))))
| f(f(f(f(c)))) = f(f(f(f(f(f(c))))))
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f1685,f224]) ).
fof(f2216,plain,
! [X0] :
( sQ181_spl
| r(f(f(f(f(f(f(c)))))),X0)
| r(f(f(f(f(c)))),X0)
| f(f(f(f(f(f(c)))))) = X0
| f(f(f(f(c)))) = X0
| f(f(f(f(c)))) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1685,f10]) ).
fof(f2218,plain,
( ~ sQ231_spl
| sQ181_spl
| sQ189_spl
| sQ187_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f2212,f1677,f1705,f1711,f1683,f2030]) ).
fof(f2220,plain,
( ~ sQ1_spl
| sQ181_spl
| sQ193_spl
| sQ191_spl
| sQ179_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f2214,f987,f1677,f1719,f1725,f1683,f34]) ).
fof(f2222,definition,
! [X0] :
( sQ244_spl
<=> ( r(f(f(f(f(f(f(c)))))),X0)
| r(f(f(f(f(c)))),X0)
| f(f(f(f(f(f(c)))))) = X0
| f(f(f(f(c)))) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2223,plain,
! [X0] :
( ~ sQ244_spl
| r(f(f(f(f(f(f(c)))))),X0)
| r(f(f(f(f(c)))),X0)
| f(f(f(f(f(f(c)))))) = X0
| f(f(f(f(c)))) = X0 ),
inference(component_clause,[status(thm)],[f2222]) ).
fof(f2225,plain,
( sQ181_spl
| sQ244_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f2216,f1677,f2222,f1683]) ).
fof(f2228,plain,
( ~ sQ1_spl
| sQ202_spl
| r(f(c),f(f(f(f(c)))))
| f(c) = f(f(f(f(c))))
| f(f(f(f(f(f(c)))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(f(c)))))),c) ),
inference(resolution,[status(thm)],[f1761,f224]) ).
fof(f2230,plain,
! [X0] :
( sQ202_spl
| r(f(f(f(f(c)))),X0)
| r(f(f(f(f(f(f(c)))))),X0)
| f(f(f(f(c)))) = X0
| f(f(f(f(f(f(c)))))) = X0
| f(f(f(f(f(f(c)))))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f1761,f10]) ).
fof(f2231,plain,
( sQ202_spl
| ~ r(f(f(f(f(c)))),f(f(f(f(f(f(c))))))) ),
inference(resolution,[status(thm)],[f1761,f6]) ).
fof(f2234,plain,
( ~ sQ1_spl
| sQ202_spl
| sQ99_spl
| sQ97_spl
| sQ179_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f2228,f1791,f1677,f931,f937,f1759,f34]) ).
fof(f2236,plain,
( sQ202_spl
| sQ244_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f2230,f1677,f2222,f1759]) ).
fof(f2237,plain,
( sQ202_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f2231,f1683,f1759]) ).
fof(f2238,plain,
( ~ sQ231_spl
| ~ sQ244_spl
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(f(f(c)))))) = f(f(c))
| f(f(f(f(c)))) = f(f(c)) ),
inference(resolution,[status(thm)],[f2223,f2043]) ).
fof(f2240,plain,
( ~ sQ1_spl
| ~ sQ244_spl
| ~ r(f(f(f(f(f(f(c)))))),c)
| r(f(f(f(f(c)))),f(c))
| f(f(f(f(f(f(c)))))) = f(c)
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f2223,f35]) ).
fof(f2242,plain,
( ~ sQ231_spl
| ~ sQ244_spl
| sQ108_spl
| sQ187_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f2238,f917,f1705,f971,f2222,f2030]) ).
fof(f2244,plain,
( ~ sQ1_spl
| ~ sQ244_spl
| ~ sQ210_spl
| sQ110_spl
| sQ191_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f2240,f931,f1719,f979,f1791,f2222,f34]) ).
fof(f2246,plain,
( ~ sQ153_spl
| ~ sQ92_spl
| ~ r(f(f(f(f(f(c))))),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f914,f1416]) ).
fof(f2247,plain,
! [X0] :
( ~ sQ231_spl
| ~ sQ92_spl
| r(f(f(c)),f(f(f(f(c)))))
| f(f(c)) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f914,f2116]) ).
fof(f2249,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ92_spl
| r(f(c),f(f(f(f(c)))))
| f(c) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),c)
| ~ r(f(f(f(f(f(X0))))),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f914,f224]) ).
fof(f2250,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ92_spl
| r(f(c),f(f(f(f(c)))))
| f(c) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(c,f(f(f(f(f(X0))))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f914,f497]) ).
fof(f2251,plain,
! [X0,X1] :
( ~ sQ92_spl
| r(f(f(f(f(c)))),X1)
| r(f(f(f(f(f(X0))))),X1)
| f(f(f(f(c)))) = X1
| f(f(f(f(f(X0))))) = X1
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f914,f10]) ).
fof(f2253,plain,
( ~ sQ153_spl
| ~ sQ92_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f2246,f1423,f913,f1415]) ).
fof(f2254,definition,
! [X0] :
( sQ245_spl
<=> ( f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c)))) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2257,plain,
( ~ sQ231_spl
| ~ sQ92_spl
| sQ95_spl
| sQ93_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2247,f2254,f917,f923,f913,f2030]) ).
fof(f2259,definition,
! [X0] :
( sQ246_spl
<=> ( f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),c)
| ~ r(f(f(f(f(f(X0))))),f(f(f(c)))) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2262,plain,
( ~ sQ1_spl
| ~ sQ92_spl
| sQ99_spl
| sQ97_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2249,f2259,f931,f937,f913,f34]) ).
fof(f2263,definition,
! [X0] :
( sQ247_spl
<=> ( f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(c,f(f(f(f(f(X0))))))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c)))) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2266,plain,
( ~ sQ8_spl
| ~ sQ92_spl
| sQ99_spl
| sQ97_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2250,f2263,f931,f937,f913,f64]) ).
fof(f2267,plain,
! [X0,X1] :
( ~ sQ92_spl
| r(f(f(f(f(c)))),X1)
| r(f(f(f(f(f(X0))))),X1)
| f(f(f(f(c)))) = X1
| f(f(f(f(f(X0))))) = X1
| ~ r(f(f(f(f(f(X0))))),f(f(f(c)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2251,f329]) ).
fof(f2269,plain,
! [X0] :
( ~ sQ128_spl
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1183,f13]) ).
fof(f2270,plain,
! [X0] :
( ~ sQ130_spl
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f1207,f13]) ).
fof(f2272,plain,
! [X0] :
( ~ sQ77_spl
| ~ r(c,f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f737,f13]) ).
fof(f2273,plain,
( ~ sQ47_spl
| ~ sQ1_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1280,f400,f34,f358]) ).
fof(f2277,plain,
( ~ sQ8_spl
| ~ sQ56_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f827,f372,f392,f64]) ).
fof(f2279,plain,
( ~ sQ6_spl
| ~ sQ47_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f825,f372,f358,f51]) ).
fof(f2285,plain,
( ~ sQ122_spl
| ~ sQ67_spl
| sQ29_spl
| sQ101_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f1156,f154,f945,f180,f524,f1080]) ).
fof(f2289,plain,
( sQ20_spl
| ~ sQ37_spl
| r(c,f(c))
| f(f(c)) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f233,f277]) ).
fof(f2292,plain,
( sQ20_spl
| ~ sQ37_spl
| sQ2_spl
| sQ18_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2289,f31,f140,f37,f232,f146]) ).
fof(f2353,plain,
! [X0,X1] :
( ~ sQ77_spl
| r(f(f(f(X0))),X1)
| r(c,X1)
| f(f(f(X0))) = X1
| c = X1
| c = f(f(f(X0))) ),
inference(resolution,[status(thm)],[f2272,f10]) ).
fof(f2355,plain,
! [X0,X1] :
( ~ sQ77_spl
| r(f(f(f(X1))),X0)
| r(c,X0)
| f(f(f(X1))) = X0
| c = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f2353,f11]) ).
fof(f2357,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ77_spl
| ~ r(c,f(f(f(X0))))
| r(c,f(c))
| f(f(f(X0))) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f2355,f65]) ).
fof(f2359,plain,
( ~ sQ8_spl
| ~ sQ77_spl
| sQ2_spl
| sQ85_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2357,f31,f792,f37,f731,f64]) ).
fof(f2360,plain,
! [X0] :
( ~ sQ85_spl
| ~ r(c,f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f793,f13]) ).
fof(f2361,plain,
! [X0] :
( ~ sQ84_spl
| ~ r(f(f(f(X0))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f789,f13]) ).
fof(f2366,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ sQ78_spl
| r(f(f(f(X0))),X1)
| r(c,X1)
| f(f(f(X0))) = X1
| c = X1
| c = f(f(f(X0))) ),
inference(resolution,[status(thm)],[f798,f10]) ).
fof(f2368,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ sQ78_spl
| r(f(f(f(X1))),X0)
| r(c,X0)
| f(f(f(X1))) = X0
| c = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f2366,f11]) ).
fof(f2370,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ6_spl
| ~ sQ78_spl
| ~ r(c,f(f(f(X0))))
| r(c,f(c))
| f(f(f(X0))) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f2368,f65]) ).
fof(f2372,plain,
( ~ sQ8_spl
| ~ sQ6_spl
| ~ sQ78_spl
| sQ2_spl
| sQ85_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2370,f31,f792,f37,f744,f51,f64]) ).
fof(f2379,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ57_spl
| r(f(c),f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0))))
| f(f(f(c))) = f(f(f(f(X0))))
| ~ r(f(f(f(c))),c)
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f404,f224]) ).
fof(f2381,plain,
! [X0,X1] :
( ~ sQ57_spl
| r(f(f(f(f(X0)))),X1)
| r(f(f(f(c))),X1)
| f(f(f(f(X0)))) = X1
| f(f(f(c))) = X1
| f(f(f(c))) = f(f(f(f(X0))))
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f404,f10]) ).
fof(f2384,definition,
! [X0] :
( sQ248_spl
<=> ( r(f(c),f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0))))
| f(f(f(c))) = f(f(f(f(X0))))
| ~ r(c,f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2385,plain,
! [X0] :
( ~ sQ248_spl
| r(f(c),f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0))))
| f(f(f(c))) = f(f(f(f(X0))))
| ~ r(c,f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f2384]) ).
fof(f2387,plain,
( ~ sQ1_spl
| ~ sQ57_spl
| ~ sQ58_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2379,f2384,f400,f396,f34]) ).
fof(f2389,plain,
! [X0,X1] :
( ~ sQ57_spl
| r(f(f(f(f(X0)))),X1)
| r(f(f(f(c))),X1)
| f(f(f(f(X0)))) = X1
| f(f(f(c))) = X1
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2381,f133]) ).
fof(f2390,plain,
! [X0] :
( ~ sQ248_spl
| r(f(c),f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0))))
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2385,f133]) ).
fof(f2391,plain,
! [X0] :
( ~ sQ248_spl
| r(f(c),f(f(f(f(X0)))))
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2390,f13]) ).
fof(f2392,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ248_spl
| ~ r(f(f(f(f(X0)))),c)
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f2391,f223]) ).
fof(f2394,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ248_spl
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f2392,f6]) ).
fof(f2396,plain,
( ~ sQ244_spl
| ~ sQ52_spl
| r(f(f(f(f(c)))),f(f(f(c))))
| f(f(f(f(f(f(c)))))) = f(f(f(c)))
| f(f(f(f(c)))) = f(f(f(c)))
| ~ r(f(f(f(f(f(f(c)))))),c) ),
inference(resolution,[status(thm)],[f377,f2223]) ).
fof(f2398,plain,
( ~ sQ221_spl
| ~ sQ52_spl
| r(f(f(c)),f(f(f(c))))
| f(f(f(f(f(f(c)))))) = f(f(f(c)))
| f(f(c)) = f(f(f(c)))
| ~ r(f(f(f(f(f(f(c)))))),c) ),
inference(resolution,[status(thm)],[f377,f1880]) ).
fof(f2399,plain,
( ~ sQ173_spl
| ~ sQ52_spl
| r(f(f(f(f(c)))),f(f(f(c))))
| f(f(f(f(f(c))))) = f(f(f(c)))
| f(f(f(f(c)))) = f(f(f(c)))
| ~ r(f(f(f(f(f(c))))),c) ),
inference(resolution,[status(thm)],[f377,f1598]) ).
fof(f2401,plain,
( ~ sQ171_spl
| ~ sQ52_spl
| r(f(f(c)),f(f(f(c))))
| f(f(f(f(f(c))))) = f(f(f(c)))
| f(f(c)) = f(f(f(c)))
| ~ r(f(f(f(f(f(c))))),c) ),
inference(resolution,[status(thm)],[f377,f1526]) ).
fof(f2403,plain,
( ~ sQ122_spl
| ~ sQ52_spl
| r(f(f(c)),f(f(f(c))))
| f(f(f(f(c)))) = f(f(f(c)))
| f(f(c)) = f(f(f(c)))
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f377,f1081]) ).
fof(f2405,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ52_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f377,f224]) ).
fof(f2406,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ52_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f377,f497]) ).
fof(f2407,plain,
! [X0,X1] :
( ~ sQ52_spl
| r(f(f(f(c))),X1)
| r(f(f(f(f(X0)))),X1)
| f(f(f(c))) = X1
| f(f(f(f(X0)))) = X1
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f377,f10]) ).
fof(f2409,plain,
( ~ sQ244_spl
| ~ sQ52_spl
| sQ106_spl
| sQ183_spl
| sQ89_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f2396,f1791,f903,f1691,f963,f376,f2222]) ).
fof(f2411,plain,
( ~ sQ221_spl
| ~ sQ52_spl
| sQ43_spl
| sQ183_spl
| sQ41_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f2398,f1791,f338,f1691,f344,f376,f1879]) ).
fof(f2412,plain,
( ~ sQ173_spl
| ~ sQ52_spl
| sQ106_spl
| sQ136_spl
| sQ89_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f2399,f1447,f903,f1355,f963,f376,f1597]) ).
fof(f2414,plain,
( ~ sQ171_spl
| ~ sQ52_spl
| sQ43_spl
| sQ136_spl
| sQ41_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f2401,f1447,f338,f1355,f344,f376,f1525]) ).
fof(f2416,plain,
( ~ sQ122_spl
| ~ sQ52_spl
| sQ43_spl
| sQ89_spl
| sQ41_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f2403,f987,f338,f903,f344,f376,f1080]) ).
fof(f2418,definition,
! [X0] :
( sQ249_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2419,plain,
! [X0] :
( ~ sQ249_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(component_clause,[status(thm)],[f2418]) ).
fof(f2421,plain,
( ~ sQ1_spl
| ~ sQ52_spl
| sQ47_spl
| sQ45_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2405,f2418,f352,f358,f376,f34]) ).
fof(f2422,definition,
! [X0] :
( sQ250_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2423,plain,
! [X0] :
( ~ sQ250_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),c) ),
inference(component_clause,[status(thm)],[f2422]) ).
fof(f2425,plain,
( ~ sQ8_spl
| ~ sQ52_spl
| sQ47_spl
| sQ45_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2406,f2422,f352,f358,f376,f64]) ).
fof(f2426,plain,
! [X0,X1] :
( ~ sQ52_spl
| r(f(f(f(c))),X1)
| r(f(f(f(f(X0)))),X1)
| f(f(f(c))) = X1
| f(f(f(f(X0)))) = X1
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f2407,f133]) ).
fof(f2427,plain,
( ~ sQ244_spl
| ~ sQ42_spl
| r(f(f(f(f(c)))),f(f(f(c))))
| f(f(f(f(f(f(c)))))) = f(f(f(c)))
| f(f(f(f(c)))) = f(f(f(c)))
| ~ r(f(f(c)),f(f(f(f(f(f(c))))))) ),
inference(resolution,[status(thm)],[f342,f2223]) ).
fof(f2433,plain,
( ~ sQ123_spl
| ~ sQ42_spl
| r(f(f(f(c))),f(f(f(c))))
| f(f(f(f(c)))) = f(f(f(c)))
| f(f(f(c))) = f(f(f(c)))
| ~ r(f(f(c)),f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f342,f1121]) ).
fof(f2435,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ42_spl
| r(f(f(f(c))),f(f(f(c))))
| f(f(f(c))) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(f(c)))
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f342,f2042]) ).
fof(f2436,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ42_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f342,f224]) ).
fof(f2437,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ42_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f342,f497]) ).
fof(f2438,plain,
! [X0,X1] :
( ~ sQ42_spl
| r(f(f(f(c))),X1)
| r(f(f(f(f(X0)))),X1)
| f(f(f(c))) = X1
| f(f(f(f(X0)))) = X1
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f342,f10]) ).
fof(f2440,plain,
( ~ sQ244_spl
| ~ sQ42_spl
| sQ106_spl
| sQ183_spl
| sQ89_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f2427,f1711,f903,f1691,f963,f341,f2222]) ).
fof(f2446,plain,
( ~ sQ123_spl
| ~ sQ42_spl
| sQ61_spl
| sQ89_spl
| sQ59_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f2433,f923,f418,f903,f424,f341,f1120]) ).
fof(f2448,definition,
! [X0] :
( sQ251_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(f(c)))
| ~ r(f(f(c)),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2449,plain,
! [X0] :
( ~ sQ251_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(f(c)))
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f2448]) ).
fof(f2451,plain,
( ~ sQ44_spl
| ~ sQ42_spl
| sQ61_spl
| sQ59_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2435,f2448,f418,f424,f341,f348]) ).
fof(f2452,definition,
! [X0] :
( sQ252_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(c)),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2455,plain,
( ~ sQ1_spl
| ~ sQ42_spl
| sQ47_spl
| sQ45_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2436,f2452,f352,f358,f341,f34]) ).
fof(f2456,definition,
! [X0] :
( sQ253_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(c)),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2459,plain,
( ~ sQ8_spl
| ~ sQ42_spl
| sQ47_spl
| sQ45_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f2437,f2456,f352,f358,f341,f64]) ).
fof(f2460,plain,
! [X0,X1] :
( ~ sQ42_spl
| r(f(f(f(c))),X1)
| r(f(f(f(f(X0)))),X1)
| f(f(f(c))) = X1
| f(f(f(f(X0)))) = X1
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2438,f133]) ).
fof(f2464,plain,
! [X0] :
( ~ sQ85_spl
| ~ r(f(f(f(X0))),c) ),
inference(resolution,[status(thm)],[f2360,f6]) ).
fof(f2466,plain,
( ~ sQ222_spl
| ~ sQ84_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2361,f1916]) ).
fof(f2467,plain,
( ~ sQ221_spl
| ~ sQ84_spl
| r(f(f(c)),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f2361,f1880]) ).
fof(f2468,plain,
( ~ sQ172_spl
| ~ sQ84_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2361,f1562]) ).
fof(f2470,plain,
( ~ sQ123_spl
| ~ sQ84_spl
| r(f(f(f(c))),c)
| f(f(f(f(c)))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2361,f1121]) ).
fof(f2471,plain,
( ~ sQ122_spl
| ~ sQ84_spl
| r(f(f(c)),c)
| f(f(f(f(c)))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f2361,f1081]) ).
fof(f2474,plain,
( ~ sQ71_spl
| ~ sQ84_spl
| r(f(c),c)
| f(f(f(c))) = c
| f(c) = c ),
inference(resolution,[status(thm)],[f2361,f579]) ).
fof(f2479,plain,
( ~ sQ222_spl
| ~ sQ84_spl
| sQ58_spl
| sQ195_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2466,f366,f1733,f400,f788,f1915]) ).
fof(f2480,plain,
( ~ sQ221_spl
| ~ sQ84_spl
| sQ29_spl
| sQ195_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2467,f154,f1733,f180,f788,f1879]) ).
fof(f2481,plain,
( ~ sQ172_spl
| ~ sQ84_spl
| sQ58_spl
| sQ148_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2468,f366,f1397,f400,f788,f1561]) ).
fof(f2483,plain,
( ~ sQ123_spl
| ~ sQ84_spl
| sQ58_spl
| sQ101_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2470,f366,f945,f400,f788,f1120]) ).
fof(f2484,plain,
( ~ sQ122_spl
| ~ sQ84_spl
| sQ29_spl
| sQ101_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2471,f154,f945,f180,f788,f1080]) ).
fof(f2487,plain,
( ~ sQ71_spl
| ~ sQ84_spl
| sQ7_spl
| sQ49_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2474,f31,f366,f54,f788,f578]) ).
fof(f2491,plain,
! [X0] :
( ~ sQ79_spl
| ~ r(f(f(f(X0))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f758,f11]) ).
fof(f2492,plain,
( ~ sQ222_spl
| ~ sQ85_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2464,f1916]) ).
fof(f2493,plain,
( ~ sQ221_spl
| ~ sQ85_spl
| r(f(f(c)),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f2464,f1880]) ).
fof(f2494,plain,
( ~ sQ172_spl
| ~ sQ85_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2464,f1562]) ).
fof(f2495,plain,
( ~ sQ171_spl
| ~ sQ85_spl
| r(f(f(c)),c)
| f(f(f(f(f(c))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f2464,f1526]) ).
fof(f2496,plain,
( ~ sQ123_spl
| ~ sQ85_spl
| r(f(f(f(c))),c)
| f(f(f(f(c)))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2464,f1121]) ).
fof(f2497,plain,
( ~ sQ122_spl
| ~ sQ85_spl
| r(f(f(c)),c)
| f(f(f(f(c)))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f2464,f1081]) ).
fof(f2500,plain,
( ~ sQ71_spl
| ~ sQ85_spl
| r(f(c),c)
| f(f(f(c))) = c
| f(c) = c ),
inference(resolution,[status(thm)],[f2464,f579]) ).
fof(f2505,plain,
( ~ sQ222_spl
| ~ sQ85_spl
| sQ58_spl
| sQ195_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2492,f366,f1733,f400,f792,f1915]) ).
fof(f2506,plain,
( ~ sQ221_spl
| ~ sQ85_spl
| sQ29_spl
| sQ195_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2493,f154,f1733,f180,f792,f1879]) ).
fof(f2507,plain,
( ~ sQ172_spl
| ~ sQ85_spl
| sQ58_spl
| sQ148_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2494,f366,f1397,f400,f792,f1561]) ).
fof(f2508,plain,
( ~ sQ171_spl
| ~ sQ85_spl
| sQ29_spl
| sQ148_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2495,f154,f1397,f180,f792,f1525]) ).
fof(f2509,plain,
( ~ sQ123_spl
| ~ sQ85_spl
| sQ58_spl
| sQ101_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2496,f366,f945,f400,f792,f1120]) ).
fof(f2510,plain,
( ~ sQ122_spl
| ~ sQ85_spl
| sQ29_spl
| sQ101_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2497,f154,f945,f180,f792,f1080]) ).
fof(f2513,plain,
( ~ sQ71_spl
| ~ sQ85_spl
| sQ7_spl
| sQ49_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2500,f31,f366,f54,f792,f578]) ).
fof(f2518,plain,
( ~ sQ222_spl
| ~ sQ79_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2491,f1916]) ).
fof(f2519,plain,
( ~ sQ221_spl
| ~ sQ79_spl
| r(f(f(c)),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f2491,f1880]) ).
fof(f2520,plain,
( ~ sQ172_spl
| ~ sQ79_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2491,f1562]) ).
fof(f2522,plain,
( ~ sQ123_spl
| ~ sQ79_spl
| r(f(f(f(c))),c)
| f(f(f(f(c)))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2491,f1121]) ).
fof(f2523,plain,
( ~ sQ122_spl
| ~ sQ79_spl
| r(f(f(c)),c)
| f(f(f(f(c)))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f2491,f1081]) ).
fof(f2526,plain,
( ~ sQ71_spl
| ~ sQ79_spl
| r(f(c),c)
| f(f(f(c))) = c
| f(c) = c ),
inference(resolution,[status(thm)],[f2491,f579]) ).
fof(f2528,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ79_spl
| r(f(c),c)
| f(c) = c
| f(f(f(X0))) = c
| ~ r(c,f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f2491,f497]) ).
fof(f2531,plain,
( ~ sQ222_spl
| ~ sQ79_spl
| sQ58_spl
| sQ195_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2518,f366,f1733,f400,f757,f1915]) ).
fof(f2532,plain,
( ~ sQ221_spl
| ~ sQ79_spl
| sQ29_spl
| sQ195_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2519,f154,f1733,f180,f757,f1879]) ).
fof(f2533,plain,
( ~ sQ172_spl
| ~ sQ79_spl
| sQ58_spl
| sQ148_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2520,f366,f1397,f400,f757,f1561]) ).
fof(f2535,plain,
( ~ sQ123_spl
| ~ sQ79_spl
| sQ58_spl
| sQ101_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2522,f366,f945,f400,f757,f1120]) ).
fof(f2536,plain,
( ~ sQ122_spl
| ~ sQ79_spl
| sQ29_spl
| sQ101_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2523,f154,f945,f180,f757,f1080]) ).
fof(f2539,plain,
( ~ sQ71_spl
| ~ sQ79_spl
| sQ7_spl
| sQ49_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2526,f31,f366,f54,f757,f578]) ).
fof(f2541,plain,
( ~ sQ8_spl
| ~ sQ79_spl
| sQ7_spl
| sQ0_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f2528,f761,f31,f54,f757,f64]) ).
fof(f2547,plain,
! [X0,X1] :
( ~ sQ53_spl
| r(f(f(f(f(X0)))),X1)
| r(f(f(f(c))),X1)
| f(f(f(f(X0)))) = X1
| f(f(f(c))) = X1
| f(f(f(c))) = f(f(f(f(X0))))
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f406,f10]) ).
fof(f2551,definition,
! [X0] :
( sQ254_spl
<=> ( r(f(c),f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0))))
| f(f(f(c))) = f(f(f(f(X0))))
| ~ r(f(f(c)),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2552,plain,
! [X0] :
( ~ sQ254_spl
| r(f(c),f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0))))
| f(f(f(c))) = f(f(f(f(X0))))
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f2551]) ).
fof(f2556,plain,
! [X0,X1] :
( ~ sQ53_spl
| r(f(f(f(f(X0)))),X1)
| r(f(f(f(c))),X1)
| f(f(f(f(X0)))) = X1
| f(f(f(c))) = X1
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2547,f133]) ).
fof(f2557,plain,
! [X0] :
( ~ sQ254_spl
| r(f(c),f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0))))
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2552,f133]) ).
fof(f2558,plain,
( ~ sQ42_spl
| ~ sQ242_spl
| ~ r(f(f(c)),f(f(f(f(f(c))))))
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(f(c))))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f2187,f342]) ).
fof(f2561,plain,
( ~ sQ42_spl
| ~ sQ242_spl
| ~ sQ142_spl
| sQ47_spl
| sQ45_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f2558,f1355,f352,f358,f1375,f2186,f341]) ).
fof(f2564,plain,
( ~ sQ42_spl
| ~ sQ243_spl
| ~ r(f(f(c)),f(f(f(f(f(f(c)))))))
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(f(f(c)))))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f2204,f342]) ).
fof(f2567,plain,
( ~ sQ42_spl
| ~ sQ243_spl
| ~ sQ189_spl
| sQ47_spl
| sQ45_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2564,f1691,f352,f358,f1711,f2203,f341]) ).
fof(f2570,plain,
! [X0] :
( ~ sQ254_spl
| r(f(c),f(f(f(f(X0)))))
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2557,f13]) ).
fof(f2575,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ42_spl
| ~ r(f(f(f(f(X0)))),c)
| r(f(f(f(c))),f(c))
| f(f(f(c))) = f(c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f2460,f35]) ).
fof(f2576,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ42_spl
| ~ r(c,f(f(f(f(X0)))))
| r(f(f(f(c))),f(c))
| f(f(f(c))) = f(c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f2460,f65]) ).
fof(f2581,definition,
! [X0] :
( sQ256_spl
<=> ( ~ r(f(f(f(f(X0)))),c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(c)),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2584,plain,
( ~ sQ1_spl
| ~ sQ42_spl
| sQ56_spl
| sQ45_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2575,f2581,f352,f392,f341,f34]) ).
fof(f2585,definition,
! [X0] :
( sQ257_spl
<=> ( ~ r(c,f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(c)),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2588,plain,
( ~ sQ8_spl
| ~ sQ42_spl
| sQ56_spl
| sQ45_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2576,f2585,f352,f392,f341,f64]) ).
fof(f2592,plain,
! [X0,X1] :
( ~ sQ80_spl
| r(f(f(f(X0))),X1)
| r(c,X1)
| f(f(f(X0))) = X1
| c = X1
| c = f(f(f(X0))) ),
inference(resolution,[status(thm)],[f808,f10]) ).
fof(f2594,plain,
! [X0,X1] :
( ~ sQ80_spl
| r(f(f(f(X1))),X0)
| r(c,X0)
| f(f(f(X1))) = X0
| c = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f2592,f11]) ).
fof(f2596,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ80_spl
| ~ r(f(f(c)),f(f(f(f(X0)))))
| r(c,f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f2594,f342]) ).
fof(f2598,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ80_spl
| ~ r(c,f(f(f(X0))))
| r(c,f(c))
| f(f(f(X0))) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f2594,f65]) ).
fof(f2600,definition,
! [X0] :
( sQ258_spl
<=> ( ~ r(f(f(c)),f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2601,plain,
! [X0] :
( ~ sQ258_spl
| ~ r(f(f(c)),f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(f(f(c))) ),
inference(component_clause,[status(thm)],[f2600]) ).
fof(f2603,plain,
( ~ sQ42_spl
| ~ sQ80_spl
| sQ51_spl
| sQ258_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2596,f366,f2600,f372,f761,f341]) ).
fof(f2605,plain,
( ~ sQ8_spl
| ~ sQ80_spl
| sQ2_spl
| sQ85_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2598,f31,f792,f37,f761,f64]) ).
fof(f2628,plain,
! [X0,X1] :
( ~ sQ128_spl
| r(f(f(f(f(X0)))),X1)
| r(c,X1)
| f(f(f(f(X0)))) = X1
| c = X1
| c = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f2269,f10]) ).
fof(f2630,plain,
! [X0,X1] :
( ~ sQ128_spl
| r(f(f(f(f(X1)))),X0)
| r(c,X0)
| f(f(f(f(X1)))) = X0
| c = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f2628,f11]) ).
fof(f2631,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ128_spl
| ~ r(f(f(c)),f(f(f(f(X0)))))
| r(c,f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f2630,f342]) ).
fof(f2634,plain,
( ~ sQ42_spl
| ~ sQ128_spl
| sQ51_spl
| sQ258_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2631,f366,f2600,f372,f1182,f341]) ).
fof(f2637,plain,
! [X0] :
( ~ sQ258_spl
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2601,f133]) ).
fof(f2660,plain,
( ~ sQ71_spl
| sQ56_spl
| r(f(c),f(c))
| f(f(f(c))) = f(c)
| f(c) = f(c) ),
inference(resolution,[status(thm)],[f394,f579]) ).
fof(f2666,plain,
( ~ sQ71_spl
| sQ56_spl
| sQ12_spl
| sQ45_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f2660,f76,f352,f82,f392,f578]) ).
fof(f2673,plain,
! [X0] :
( ~ sQ251_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2449,f6]) ).
fof(f2674,plain,
! [X0] :
( ~ sQ250_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2423,f6]) ).
fof(f2675,plain,
! [X0] :
( ~ sQ249_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c) ),
inference(duplicate_literals_removal,[status(thm)],[f2419]) ).
fof(f2676,plain,
! [X0] :
( ~ sQ249_spl
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f2675,f133]) ).
fof(f2679,plain,
! [X0] :
( ~ sQ75_spl
| ~ r(c,f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f720,f15]) ).
fof(f2680,plain,
! [X0] :
( ~ sQ239_spl
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f2109,f15]) ).
fof(f2681,plain,
! [X0] :
( ~ sQ240_spl
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2113,f15]) ).
fof(f2694,plain,
! [X0] :
( ~ sQ174_spl
| r(f(f(f(f(f(c))))),X0)
| f(f(f(f(f(c))))) = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f1632]) ).
fof(f2697,plain,
! [X0] :
( ~ sQ131_spl
| r(f(f(f(f(c)))),X0)
| f(f(f(f(c)))) = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f1314]) ).
fof(f2698,plain,
! [X0] :
( ~ sQ116_spl
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1030,f6]) ).
fof(f2699,plain,
! [X0] :
( ~ sQ114_spl
| ~ r(f(f(f(f(f(X0))))),f(f(f(f(c))))) ),
inference(duplicate_literals_removal,[status(thm)],[f1004]) ).
fof(f2700,plain,
! [X0] :
( ~ sQ88_spl
| r(f(f(f(c))),X0)
| f(f(f(c))) = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f880]) ).
fof(f2701,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f785,f11]) ).
fof(f2702,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f2701]) ).
fof(f2703,plain,
! [X0,X1] :
( ~ sQ68_spl
| r(f(f(X1)),X0)
| r(c,X0)
| f(f(X1)) = X0
| c = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f603,f11]) ).
fof(f2704,plain,
! [X0] :
( ~ sQ70_spl
| r(f(f(c)),X0)
| f(f(c)) = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f571]) ).
fof(f2705,plain,
( ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f563,f11]) ).
fof(f2706,plain,
~ sQ69_spl,
inference(contradiction_clause,[status(thm)],[f2705]) ).
fof(f2707,plain,
! [X0] :
( ~ sQ63_spl
| ~ r(f(f(f(f(X0)))),f(f(f(c)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f467,f6]) ).
fof(f2708,plain,
! [X0] :
( ~ sQ60_spl
| ~ r(f(f(f(f(X0)))),f(f(f(c)))) ),
inference(duplicate_literals_removal,[status(thm)],[f422]) ).
fof(f2711,plain,
! [X0] :
( ~ sQ33_spl
| ~ r(f(f(f(X0))),f(f(c))) ),
inference(forward_subsumption_resolution,[status(thm)],[f211,f6]) ).
fof(f2712,plain,
! [X0] :
( ~ sQ31_spl
| ~ r(f(f(f(X0))),f(f(c))) ),
inference(duplicate_literals_removal,[status(thm)],[f194]) ).
fof(f2713,plain,
! [X0] :
( ~ sQ17_spl
| r(f(c),X0)
| f(c) = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f125]) ).
fof(f2714,plain,
! [X0] :
( ~ sQ15_spl
| r(c,X0)
| c = X0 ),
inference(duplicate_literals_removal,[status(thm)],[f103]) ).
fof(f2715,plain,
! [X0] :
( ~ sQ13_spl
| ~ r(f(f(X0)),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f93,f6]) ).
fof(f2716,plain,
! [X0] :
( ~ sQ11_spl
| ~ r(f(f(X0)),f(c)) ),
inference(duplicate_literals_removal,[status(thm)],[f80]) ).
fof(f2717,plain,
! [X0] :
( ~ sQ9_spl
| ~ r(f(X0),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f69,f6]) ).
fof(f2718,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f55,f2717]) ).
fof(f2732,plain,
( ~ sQ7_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2718]) ).
fof(f2733,plain,
( ~ sQ222_spl
| ~ sQ4_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f59,f1916]) ).
fof(f2734,plain,
( ~ sQ172_spl
| ~ sQ4_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f59,f1562]) ).
fof(f2735,plain,
( ~ sQ123_spl
| ~ sQ4_spl
| r(f(f(f(c))),c)
| f(f(f(f(c)))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f59,f1121]) ).
fof(f2736,plain,
( ~ sQ122_spl
| ~ sQ4_spl
| r(f(f(c)),c)
| f(f(f(f(c)))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f59,f1081]) ).
fof(f2740,plain,
( ~ sQ71_spl
| ~ sQ4_spl
| r(f(c),c)
| f(f(f(c))) = c
| f(c) = c ),
inference(resolution,[status(thm)],[f59,f579]) ).
fof(f2742,plain,
( ~ sQ38_spl
| ~ sQ4_spl
| r(f(c),c)
| f(f(c)) = c
| f(c) = c ),
inference(resolution,[status(thm)],[f59,f244]) ).
fof(f2746,plain,
( ~ sQ222_spl
| ~ sQ4_spl
| sQ58_spl
| sQ195_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2733,f366,f1733,f400,f44,f1915]) ).
fof(f2747,plain,
( ~ sQ172_spl
| ~ sQ4_spl
| sQ58_spl
| sQ148_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2734,f366,f1397,f400,f44,f1561]) ).
fof(f2748,plain,
( ~ sQ123_spl
| ~ sQ4_spl
| sQ58_spl
| sQ101_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2735,f366,f945,f400,f44,f1120]) ).
fof(f2749,plain,
( ~ sQ122_spl
| ~ sQ4_spl
| sQ29_spl
| sQ101_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2736,f154,f945,f180,f44,f1080]) ).
fof(f2750,definition,
! [X0] :
( sQ259_spl
<=> ( f(f(f(f(X0)))) = c
| ~ r(f(f(c)),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2751,plain,
! [X0] :
( ~ sQ259_spl
| f(f(f(f(X0)))) = c
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f2750]) ).
fof(f2756,plain,
( ~ sQ71_spl
| ~ sQ4_spl
| sQ7_spl
| sQ49_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2740,f31,f366,f54,f44,f578]) ).
fof(f2758,plain,
( ~ sQ38_spl
| ~ sQ4_spl
| sQ7_spl
| sQ22_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2742,f31,f154,f54,f44,f243]) ).
fof(f2761,plain,
( ~ sQ27_spl
| sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f277]) ).
fof(f2762,plain,
( ~ sQ27_spl
| sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2761]) ).
fof(f2787,plain,
( sQ56_spl
| ~ sQ68_spl
| r(c,f(c))
| f(f(f(c))) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f2703,f394]) ).
fof(f2789,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ68_spl
| ~ r(f(f(f(f(X0)))),f(f(c)))
| r(c,f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f2703,f349]) ).
fof(f2790,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ68_spl
| ~ r(f(f(c)),f(f(f(f(X0)))))
| r(c,f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f2703,f342]) ).
fof(f2791,plain,
( sQ20_spl
| ~ sQ68_spl
| r(c,f(c))
| f(f(c)) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f2703,f277]) ).
fof(f2794,plain,
( sQ56_spl
| ~ sQ68_spl
| sQ2_spl
| sQ45_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2787,f31,f352,f37,f552,f392]) ).
fof(f2796,plain,
( ~ sQ44_spl
| ~ sQ68_spl
| sQ51_spl
| sQ231_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2789,f366,f2030,f372,f552,f348]) ).
fof(f2797,plain,
( ~ sQ42_spl
| ~ sQ68_spl
| sQ51_spl
| sQ258_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2790,f366,f2600,f372,f552,f341]) ).
fof(f2798,plain,
( sQ20_spl
| ~ sQ68_spl
| sQ2_spl
| sQ18_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2791,f31,f140,f37,f552,f146]) ).
fof(f2801,plain,
! [X0] :
( ~ sQ250_spl
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2674,f133]) ).
fof(f2802,plain,
( ~ sQ51_spl
| sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f373,f440]) ).
fof(f2803,plain,
( ~ sQ51_spl
| sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f2802]) ).
fof(f2870,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ52_spl
| ~ r(f(f(f(f(X0)))),c)
| r(f(f(f(c))),f(c))
| f(f(f(c))) = f(c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f2426,f35]) ).
fof(f2871,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ52_spl
| ~ r(c,f(f(f(f(X0)))))
| r(f(f(f(c))),f(c))
| f(f(f(c))) = f(c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f2426,f65]) ).
fof(f2874,definition,
! [X0] :
( sQ260_spl
<=> ( ~ r(f(f(f(f(X0)))),c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2875,plain,
! [X0] :
( ~ sQ260_spl
| ~ r(f(f(f(f(X0)))),c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(component_clause,[status(thm)],[f2874]) ).
fof(f2877,plain,
( ~ sQ1_spl
| ~ sQ52_spl
| sQ56_spl
| sQ45_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2870,f2874,f352,f392,f376,f34]) ).
fof(f2878,definition,
! [X0] :
( sQ261_spl
<=> ( ~ r(c,f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2879,plain,
! [X0] :
( ~ sQ261_spl
| ~ r(c,f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(component_clause,[status(thm)],[f2878]) ).
fof(f2881,plain,
( ~ sQ8_spl
| ~ sQ52_spl
| sQ56_spl
| sQ45_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2871,f2878,f352,f392,f376,f64]) ).
fof(f2885,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ67_spl
| ~ r(f(f(f(f(X0)))),f(f(c)))
| r(c,f(f(f(c))))
| c = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f556,f349]) ).
fof(f2892,plain,
( ~ sQ44_spl
| ~ sQ67_spl
| sQ51_spl
| sQ49_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2885,f2030,f366,f372,f524,f348]) ).
fof(f2897,plain,
! [X0] :
( ~ sQ260_spl
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(duplicate_literals_removal,[status(thm)],[f2875]) ).
fof(f2898,plain,
! [X0] :
( ~ sQ260_spl
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f2897,f13]) ).
fof(f2899,plain,
! [X0] :
( ~ sQ261_spl
| ~ r(c,f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(c) ),
inference(forward_subsumption_resolution,[status(thm)],[f2879,f6]) ).
fof(f2900,plain,
! [X0] :
( ~ sQ259_spl
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2751,f11]) ).
fof(f2901,plain,
( ~ sQ251_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2673,f2030,f2448]) ).
fof(f2905,plain,
( sQ29_spl
| ~ sQ15_spl
| c = f(f(c)) ),
inference(resolution,[status(thm)],[f2714,f665]) ).
fof(f2906,plain,
( sQ29_spl
| ~ sQ15_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2905,f154,f102,f180]) ).
fof(f2909,plain,
( sQ47_spl
| ~ sQ17_spl
| f(c) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f2713,f360]) ).
fof(f2910,plain,
( sQ20_spl
| ~ sQ17_spl
| f(c) = f(f(c)) ),
inference(resolution,[status(thm)],[f2713,f148]) ).
fof(f2912,plain,
( sQ47_spl
| ~ sQ17_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f2909,f352,f124,f358]) ).
fof(f2913,plain,
( sQ20_spl
| ~ sQ17_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f2910,f140,f124,f146]) ).
fof(f2917,plain,
( sQ20_spl
| ~ sQ70_spl
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f2704,f277]) ).
fof(f2920,plain,
( sQ20_spl
| ~ sQ70_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f2917,f140,f570,f146]) ).
fof(f2925,plain,
( sQ56_spl
| ~ sQ88_spl
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f2700,f394]) ).
fof(f2929,plain,
( sQ56_spl
| ~ sQ88_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f2925,f352,f879,f392]) ).
fof(f2935,plain,
( ~ sQ44_spl
| ~ sQ131_spl
| ~ r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(c)))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f2697,f349]) ).
fof(f2936,plain,
( ~ sQ42_spl
| ~ sQ131_spl
| ~ r(f(f(c)),f(f(f(f(c)))))
| f(f(f(f(c)))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f2697,f342]) ).
fof(f2937,plain,
( ~ sQ1_spl
| ~ sQ131_spl
| ~ r(f(f(f(f(c)))),c)
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f2697,f35]) ).
fof(f2938,plain,
( ~ sQ8_spl
| ~ sQ131_spl
| ~ r(c,f(f(f(f(c)))))
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f2697,f65]) ).
fof(f2939,plain,
( ~ sQ44_spl
| ~ sQ131_spl
| ~ sQ108_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f2935,f903,f971,f1313,f348]) ).
fof(f2940,plain,
( ~ sQ42_spl
| ~ sQ131_spl
| ~ sQ95_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f2936,f903,f923,f1313,f341]) ).
fof(f2941,plain,
( ~ sQ1_spl
| ~ sQ131_spl
| ~ sQ112_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f2937,f931,f987,f1313,f34]) ).
fof(f2942,plain,
( ~ sQ8_spl
| ~ sQ131_spl
| ~ sQ103_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f2938,f931,f951,f1313,f64]) ).
fof(f3067,plain,
! [X0,X1] :
( ~ sQ72_spl
| r(f(f(X0)),X1)
| r(c,X1)
| f(f(X0)) = X1
| c = X1
| c = f(f(X0)) ),
inference(resolution,[status(thm)],[f602,f10]) ).
fof(f3069,plain,
! [X0,X1] :
( ~ sQ72_spl
| r(f(f(X1)),X0)
| r(c,X0)
| f(f(X1)) = X0
| c = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f3067,f11]) ).
fof(f3088,plain,
( ~ sQ44_spl
| ~ sQ174_spl
| ~ r(f(f(f(f(f(c))))),f(f(c)))
| f(f(f(f(f(c))))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f2694,f349]) ).
fof(f3091,plain,
( ~ sQ44_spl
| ~ sQ174_spl
| ~ sQ157_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f3088,f1355,f1431,f1631,f348]) ).
fof(f3191,plain,
( ~ sQ44_spl
| ~ sQ173_spl
| ~ r(f(f(f(f(f(c))))),f(f(c)))
| r(f(f(f(f(c)))),f(f(f(c))))
| f(f(f(f(f(c))))) = f(f(f(c)))
| f(f(f(f(c)))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f1598,f349]) ).
fof(f3194,plain,
( ~ sQ44_spl
| ~ sQ173_spl
| ~ sQ157_spl
| sQ106_spl
| sQ136_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3191,f903,f1355,f963,f1431,f1597,f348]) ).
fof(f3211,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ57_spl
| ~ r(f(f(f(f(X0)))),c)
| r(f(f(f(c))),f(c))
| f(f(f(f(X0)))) = f(c)
| f(f(f(c))) = f(c)
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f2389,f35]) ).
fof(f3214,plain,
( ~ sQ1_spl
| ~ sQ57_spl
| sQ56_spl
| sQ45_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f3211,f2878,f352,f392,f396,f34]) ).
fof(f3294,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ92_spl
| ~ r(f(f(f(f(f(X0))))),c)
| r(f(f(f(f(c)))),f(c))
| f(f(f(f(c)))) = f(c)
| f(f(f(f(f(X0))))) = f(c)
| ~ r(f(f(f(f(f(X0))))),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f2267,f35]) ).
fof(f3303,definition,
! [X0] :
( sQ264_spl
<=> ( ~ r(f(f(f(f(f(X0))))),c)
| f(f(f(f(f(X0))))) = f(c)
| ~ r(f(f(f(f(f(X0))))),f(f(f(c)))) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f3306,plain,
( ~ sQ1_spl
| ~ sQ92_spl
| sQ110_spl
| sQ97_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f3294,f3303,f931,f979,f913,f34]) ).
fof(f3380,plain,
( ~ sQ222_spl
| ~ sQ130_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2270,f1916]) ).
fof(f3381,plain,
( ~ sQ173_spl
| ~ sQ130_spl
| r(f(f(f(f(c)))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(f(c)))) = c ),
inference(resolution,[status(thm)],[f2270,f1598]) ).
fof(f3382,plain,
( ~ sQ172_spl
| ~ sQ130_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2270,f1562]) ).
fof(f3383,plain,
( ~ sQ171_spl
| ~ sQ130_spl
| r(f(f(c)),c)
| f(f(f(f(f(c))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f2270,f1526]) ).
fof(f3385,plain,
( ~ sQ122_spl
| ~ sQ130_spl
| r(f(f(c)),c)
| f(f(f(f(c)))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f2270,f1081]) ).
fof(f3388,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ130_spl
| r(f(f(f(c))),c)
| f(f(f(f(X0)))) = c
| f(f(f(c))) = c
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f2270,f2389]) ).
fof(f3394,plain,
( ~ sQ222_spl
| ~ sQ130_spl
| sQ58_spl
| sQ195_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3380,f366,f1733,f400,f1206,f1915]) ).
fof(f3395,plain,
( ~ sQ173_spl
| ~ sQ130_spl
| sQ112_spl
| sQ148_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f3381,f945,f1397,f987,f1206,f1597]) ).
fof(f3396,plain,
( ~ sQ172_spl
| ~ sQ130_spl
| sQ58_spl
| sQ148_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3382,f366,f1397,f400,f1206,f1561]) ).
fof(f3397,plain,
( ~ sQ171_spl
| ~ sQ130_spl
| sQ29_spl
| sQ148_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3383,f154,f1397,f180,f1206,f1525]) ).
fof(f3402,plain,
( ~ sQ122_spl
| ~ sQ130_spl
| sQ29_spl
| sQ101_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3385,f154,f945,f180,f1206,f1080]) ).
fof(f3405,definition,
! [X0] :
( sQ266_spl
<=> ( f(f(f(f(X0)))) = c
| ~ r(c,f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f3406,plain,
! [X0] :
( ~ sQ266_spl
| f(f(f(f(X0)))) = c
| ~ r(c,f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f3405]) ).
fof(f3408,plain,
( ~ sQ57_spl
| ~ sQ130_spl
| sQ58_spl
| sQ49_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f3388,f3405,f366,f400,f1206,f396]) ).
fof(f3409,definition,
! [X0] :
( sQ267_spl
<=> ( f(f(f(f(X0)))) = c
| ~ r(f(f(f(f(X0)))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f3410,plain,
! [X0] :
( ~ sQ267_spl
| f(f(f(f(X0)))) = c
| ~ r(f(f(f(f(X0)))),c) ),
inference(component_clause,[status(thm)],[f3409]) ).
fof(f3415,plain,
! [X0] :
( ~ sQ266_spl
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f3406,f11]) ).
fof(f3422,plain,
( ~ sQ244_spl
| ~ sQ1_spl
| ~ sQ248_spl
| r(f(f(f(f(c)))),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(f(f(c)))) = c ),
inference(resolution,[status(thm)],[f2394,f2223]) ).
fof(f3423,plain,
( ~ sQ222_spl
| ~ sQ1_spl
| ~ sQ248_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2394,f1916]) ).
fof(f3424,plain,
( ~ sQ173_spl
| ~ sQ1_spl
| ~ sQ248_spl
| r(f(f(f(f(c)))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(f(c)))) = c ),
inference(resolution,[status(thm)],[f2394,f1598]) ).
fof(f3426,plain,
( ~ sQ171_spl
| ~ sQ1_spl
| ~ sQ248_spl
| r(f(f(c)),c)
| f(f(f(f(f(c))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f2394,f1526]) ).
fof(f3428,plain,
( ~ sQ122_spl
| ~ sQ1_spl
| ~ sQ248_spl
| r(f(f(c)),c)
| f(f(f(f(c)))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f2394,f1081]) ).
fof(f3431,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ1_spl
| ~ sQ248_spl
| r(f(f(f(c))),c)
| f(f(f(f(X0)))) = c
| f(f(f(c))) = c
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f2394,f2389]) ).
fof(f3436,plain,
( ~ sQ244_spl
| ~ sQ1_spl
| ~ sQ248_spl
| sQ112_spl
| sQ195_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f3422,f945,f1733,f987,f2384,f34,f2222]) ).
fof(f3437,plain,
( ~ sQ222_spl
| ~ sQ1_spl
| ~ sQ248_spl
| sQ58_spl
| sQ195_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3423,f366,f1733,f400,f2384,f34,f1915]) ).
fof(f3438,plain,
( ~ sQ173_spl
| ~ sQ1_spl
| ~ sQ248_spl
| sQ112_spl
| sQ148_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f3424,f945,f1397,f987,f2384,f34,f1597]) ).
fof(f3440,plain,
( ~ sQ171_spl
| ~ sQ1_spl
| ~ sQ248_spl
| sQ29_spl
| sQ148_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3426,f154,f1397,f180,f2384,f34,f1525]) ).
fof(f3442,plain,
( ~ sQ122_spl
| ~ sQ1_spl
| ~ sQ248_spl
| sQ29_spl
| sQ101_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3428,f154,f945,f180,f2384,f34,f1080]) ).
fof(f3445,plain,
( ~ sQ57_spl
| ~ sQ1_spl
| ~ sQ248_spl
| sQ58_spl
| sQ49_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f3431,f3405,f366,f400,f2384,f34,f396]) ).
fof(f3449,plain,
! [X0] :
( ~ sQ267_spl
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f3410,f11]) ).
fof(f3453,plain,
( sQ56_spl
| ~ sQ72_spl
| r(c,f(c))
| f(f(f(c))) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f3069,f394]) ).
fof(f3455,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ72_spl
| ~ r(f(f(f(f(X0)))),f(f(c)))
| r(c,f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f3069,f349]) ).
fof(f3456,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ72_spl
| ~ r(f(f(c)),f(f(f(f(X0)))))
| r(c,f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f3069,f342]) ).
fof(f3458,plain,
( sQ20_spl
| ~ sQ72_spl
| r(c,f(c))
| f(f(c)) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f3069,f277]) ).
fof(f3460,plain,
( sQ56_spl
| ~ sQ72_spl
| sQ2_spl
| sQ45_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3453,f31,f352,f37,f598,f392]) ).
fof(f3462,plain,
( ~ sQ44_spl
| ~ sQ72_spl
| sQ51_spl
| sQ231_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3455,f366,f2030,f372,f598,f348]) ).
fof(f3463,plain,
( ~ sQ42_spl
| ~ sQ72_spl
| sQ51_spl
| sQ258_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3456,f366,f2600,f372,f598,f341]) ).
fof(f3465,plain,
( sQ20_spl
| ~ sQ72_spl
| sQ2_spl
| sQ18_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3458,f31,f140,f37,f598,f146]) ).
fof(f3473,plain,
( sQ56_spl
| ~ sQ80_spl
| r(c,f(c))
| f(f(f(c))) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f2594,f394]) ).
fof(f3475,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ80_spl
| ~ r(f(f(f(f(X0)))),f(f(c)))
| r(c,f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f2594,f349]) ).
fof(f3478,plain,
( sQ56_spl
| ~ sQ80_spl
| sQ2_spl
| sQ45_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3473,f31,f352,f37,f761,f392]) ).
fof(f3480,plain,
( ~ sQ44_spl
| ~ sQ80_spl
| sQ51_spl
| sQ231_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3475,f366,f2030,f372,f761,f348]) ).
fof(f3503,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ96_spl
| ~ r(f(f(c)),f(f(f(f(f(X0))))))
| r(f(f(f(f(c)))),f(f(f(c))))
| f(f(f(f(c)))) = f(f(f(c)))
| f(f(f(f(f(X0))))) = f(f(f(c)))
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ),
inference(resolution,[status(thm)],[f1962,f342]) ).
fof(f3506,definition,
! [X0] :
( sQ268_spl
<=> ( ~ r(f(f(c)),f(f(f(f(f(X0))))))
| f(f(f(f(f(X0))))) = f(f(f(c)))
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f3509,plain,
( ~ sQ42_spl
| ~ sQ96_spl
| sQ106_spl
| sQ89_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f3503,f3506,f903,f963,f927,f341]) ).
fof(f3551,plain,
! [X0,X1] :
( ~ sQ75_spl
| r(f(f(f(X0))),X1)
| r(c,X1)
| f(f(f(X0))) = X1
| c = X1
| c = f(f(f(X0))) ),
inference(resolution,[status(thm)],[f2679,f10]) ).
fof(f3553,plain,
! [X0,X1] :
( ~ sQ75_spl
| r(f(f(f(X1))),X0)
| r(c,X0)
| f(f(f(X1))) = X0
| c = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f3551,f11]) ).
fof(f3554,plain,
( ~ sQ221_spl
| ~ sQ76_spl
| r(f(f(c)),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f736,f1880]) ).
fof(f3556,plain,
( ~ sQ222_spl
| ~ sQ76_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f736,f1916]) ).
fof(f3557,plain,
( ~ sQ173_spl
| ~ sQ76_spl
| r(f(f(f(f(c)))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(f(c)))) = c ),
inference(resolution,[status(thm)],[f736,f1598]) ).
fof(f3558,plain,
( ~ sQ172_spl
| ~ sQ76_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f736,f1562]) ).
fof(f3561,plain,
( ~ sQ123_spl
| ~ sQ76_spl
| r(f(f(f(c))),c)
| f(f(f(f(c)))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f736,f1121]) ).
fof(f3565,plain,
( ~ sQ71_spl
| ~ sQ76_spl
| r(f(c),c)
| f(f(f(c))) = c
| f(c) = c ),
inference(resolution,[status(thm)],[f736,f579]) ).
fof(f3567,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ76_spl
| r(f(c),c)
| f(c) = c
| f(f(f(X0))) = c
| ~ r(c,f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f736,f497]) ).
fof(f3570,plain,
( ~ sQ221_spl
| ~ sQ76_spl
| sQ29_spl
| sQ195_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3554,f154,f1733,f180,f727,f1879]) ).
fof(f3572,plain,
( ~ sQ222_spl
| ~ sQ76_spl
| sQ58_spl
| sQ195_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3556,f366,f1733,f400,f727,f1915]) ).
fof(f3573,plain,
( ~ sQ173_spl
| ~ sQ76_spl
| sQ112_spl
| sQ148_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f3557,f945,f1397,f987,f727,f1597]) ).
fof(f3574,plain,
( ~ sQ172_spl
| ~ sQ76_spl
| sQ58_spl
| sQ148_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3558,f366,f1397,f400,f727,f1561]) ).
fof(f3577,plain,
( ~ sQ123_spl
| ~ sQ76_spl
| sQ58_spl
| sQ101_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3561,f366,f945,f400,f727,f1120]) ).
fof(f3581,plain,
( ~ sQ71_spl
| ~ sQ76_spl
| sQ7_spl
| sQ49_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3565,f31,f366,f54,f727,f578]) ).
fof(f3583,plain,
( ~ sQ8_spl
| ~ sQ76_spl
| sQ7_spl
| sQ0_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f3567,f761,f31,f54,f727,f64]) ).
fof(f3585,plain,
( sQ56_spl
| ~ sQ75_spl
| r(c,f(c))
| f(f(f(c))) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f3553,f394]) ).
fof(f3587,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ75_spl
| ~ r(f(f(f(f(X0)))),f(f(c)))
| r(c,f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f3553,f349]) ).
fof(f3588,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ75_spl
| ~ r(f(f(c)),f(f(f(f(X0)))))
| r(c,f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f3553,f342]) ).
fof(f3589,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ75_spl
| ~ r(c,f(f(f(X0))))
| r(c,f(c))
| f(f(f(X0))) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f3553,f65]) ).
fof(f3591,plain,
( sQ56_spl
| ~ sQ75_spl
| sQ2_spl
| sQ45_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3585,f31,f352,f37,f713,f392]) ).
fof(f3593,plain,
( ~ sQ44_spl
| ~ sQ75_spl
| sQ51_spl
| sQ231_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3587,f366,f2030,f372,f713,f348]) ).
fof(f3594,plain,
( ~ sQ42_spl
| ~ sQ75_spl
| sQ51_spl
| sQ258_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3588,f366,f2600,f372,f713,f341]) ).
fof(f3595,plain,
( ~ sQ8_spl
| ~ sQ75_spl
| sQ2_spl
| sQ85_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3589,f31,f792,f37,f713,f64]) ).
fof(f3606,plain,
( ~ sQ110_spl
| ~ sQ13_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f980,f2715]) ).
fof(f3625,plain,
( ~ sQ110_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f3606]) ).
fof(f3651,plain,
( ~ sQ221_spl
| ~ sQ11_spl
| r(f(f(c)),f(c))
| f(f(f(f(f(f(c)))))) = f(c)
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f2716,f1880]) ).
fof(f3653,plain,
( ~ sQ222_spl
| ~ sQ11_spl
| r(f(f(f(c))),f(c))
| f(f(f(f(f(f(c)))))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f2716,f1916]) ).
fof(f3654,plain,
( ~ sQ173_spl
| ~ sQ11_spl
| r(f(f(f(f(c)))),f(c))
| f(f(f(f(f(c))))) = f(c)
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f2716,f1598]) ).
fof(f3655,plain,
( ~ sQ172_spl
| ~ sQ11_spl
| r(f(f(f(c))),f(c))
| f(f(f(f(f(c))))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f2716,f1562]) ).
fof(f3656,plain,
( ~ sQ171_spl
| ~ sQ11_spl
| r(f(f(c)),f(c))
| f(f(f(f(f(c))))) = f(c)
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f2716,f1526]) ).
fof(f3658,plain,
( ~ sQ123_spl
| ~ sQ11_spl
| r(f(f(f(c))),f(c))
| f(f(f(f(c)))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f2716,f1121]) ).
fof(f3661,plain,
( ~ sQ62_spl
| ~ sQ11_spl
| r(c,f(c))
| f(f(f(c))) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f2716,f434]) ).
fof(f3663,plain,
( ~ sQ37_spl
| ~ sQ11_spl
| r(c,f(c))
| f(f(c)) = f(c)
| c = f(c) ),
inference(resolution,[status(thm)],[f2716,f233]) ).
fof(f3669,plain,
( ~ sQ221_spl
| ~ sQ11_spl
| sQ27_spl
| sQ191_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f3651,f140,f1719,f172,f79,f1879]) ).
fof(f3671,plain,
( ~ sQ222_spl
| ~ sQ11_spl
| sQ56_spl
| sQ191_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f3653,f352,f1719,f392,f79,f1915]) ).
fof(f3672,plain,
( ~ sQ173_spl
| ~ sQ11_spl
| sQ110_spl
| sQ144_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f3654,f931,f1383,f979,f79,f1597]) ).
fof(f3673,plain,
( ~ sQ172_spl
| ~ sQ11_spl
| sQ56_spl
| sQ144_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f3655,f352,f1383,f392,f79,f1561]) ).
fof(f3674,plain,
( ~ sQ171_spl
| ~ sQ11_spl
| sQ27_spl
| sQ144_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f3656,f140,f1383,f172,f79,f1525]) ).
fof(f3679,plain,
( ~ sQ123_spl
| ~ sQ11_spl
| sQ56_spl
| sQ97_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f3658,f352,f931,f392,f79,f1120]) ).
fof(f3680,definition,
! [X0] :
( sQ270_spl
<=> ( f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f3684,definition,
! [X0] :
( sQ271_spl
<=> ( f(f(f(f(X0)))) = f(c)
| ~ r(f(f(c)),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f3688,plain,
( ~ sQ62_spl
| ~ sQ11_spl
| sQ2_spl
| sQ45_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3661,f31,f352,f37,f79,f433]) ).
fof(f3690,plain,
( ~ sQ37_spl
| ~ sQ11_spl
| sQ2_spl
| sQ18_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3663,f31,f140,f37,f79,f232]) ).
fof(f3724,plain,
! [X0,X1] :
( ~ sQ86_spl
| r(f(f(f(X0))),X1)
| r(c,X1)
| f(f(f(X0))) = X1
| c = X1
| c = f(f(f(X0))) ),
inference(resolution,[status(thm)],[f810,f10]) ).
fof(f3726,plain,
! [X0,X1] :
( ~ sQ86_spl
| r(f(f(f(X1))),X0)
| r(c,X0)
| f(f(f(X1))) = X0
| c = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f3724,f11]) ).
fof(f3728,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ86_spl
| ~ r(f(f(f(f(X0)))),f(f(c)))
| r(c,f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f3726,f349]) ).
fof(f3729,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ86_spl
| ~ r(f(f(c)),f(f(f(f(X0)))))
| r(c,f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f3726,f342]) ).
fof(f3731,plain,
( ~ sQ44_spl
| ~ sQ86_spl
| sQ51_spl
| sQ231_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3728,f366,f2030,f372,f804,f348]) ).
fof(f3732,plain,
( ~ sQ42_spl
| ~ sQ86_spl
| sQ51_spl
| sQ258_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3729,f366,f2600,f372,f804,f341]) ).
fof(f3829,plain,
( ~ sQ221_spl
| ~ sQ249_spl
| r(f(f(c)),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f2676,f1880]) ).
fof(f3831,plain,
( ~ sQ222_spl
| ~ sQ249_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2676,f1916]) ).
fof(f3832,plain,
( ~ sQ173_spl
| ~ sQ249_spl
| r(f(f(f(f(c)))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(f(c)))) = c ),
inference(resolution,[status(thm)],[f2676,f1598]) ).
fof(f3833,plain,
( ~ sQ172_spl
| ~ sQ249_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2676,f1562]) ).
fof(f3834,plain,
( ~ sQ171_spl
| ~ sQ249_spl
| r(f(f(c)),c)
| f(f(f(f(f(c))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f2676,f1526]) ).
fof(f3836,plain,
( ~ sQ123_spl
| ~ sQ249_spl
| r(f(f(f(c))),c)
| f(f(f(f(c)))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2676,f1121]) ).
fof(f3841,plain,
! [X0,X1] :
( ~ sQ249_spl
| r(c,X1)
| r(f(f(f(f(X0)))),X1)
| c = X1
| f(f(f(f(X0)))) = X1
| f(f(f(f(X0)))) = c ),
inference(resolution,[status(thm)],[f2676,f10]) ).
fof(f3843,plain,
( ~ sQ221_spl
| ~ sQ249_spl
| sQ29_spl
| sQ195_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3829,f154,f1733,f180,f2418,f1879]) ).
fof(f3845,plain,
( ~ sQ222_spl
| ~ sQ249_spl
| sQ58_spl
| sQ195_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3831,f366,f1733,f400,f2418,f1915]) ).
fof(f3846,plain,
( ~ sQ173_spl
| ~ sQ249_spl
| sQ112_spl
| sQ148_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f3832,f945,f1397,f987,f2418,f1597]) ).
fof(f3847,plain,
( ~ sQ172_spl
| ~ sQ249_spl
| sQ58_spl
| sQ148_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3833,f366,f1397,f400,f2418,f1561]) ).
fof(f3848,plain,
( ~ sQ171_spl
| ~ sQ249_spl
| sQ29_spl
| sQ148_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3834,f154,f1397,f180,f2418,f1525]) ).
fof(f3850,plain,
( ~ sQ123_spl
| ~ sQ249_spl
| sQ58_spl
| sQ101_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3836,f366,f945,f400,f2418,f1120]) ).
fof(f3855,plain,
! [X0,X1] :
( ~ sQ249_spl
| r(c,X1)
| r(f(f(f(f(X0)))),X1)
| c = X1
| f(f(f(f(X0)))) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f3841,f11]) ).
fof(f3858,plain,
! [X0] :
( ~ sQ266_spl
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f3415,f6]) ).
fof(f3860,plain,
( ~ sQ221_spl
| ~ sQ267_spl
| r(f(f(c)),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f3449,f1880]) ).
fof(f3861,plain,
( ~ sQ172_spl
| ~ sQ267_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f3449,f1562]) ).
fof(f3862,plain,
( ~ sQ171_spl
| ~ sQ267_spl
| r(f(f(c)),c)
| f(f(f(f(f(c))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f3449,f1526]) ).
fof(f3864,plain,
( ~ sQ123_spl
| ~ sQ267_spl
| r(f(f(f(c))),c)
| f(f(f(f(c)))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f3449,f1121]) ).
fof(f3871,plain,
( ~ sQ221_spl
| ~ sQ267_spl
| sQ29_spl
| sQ195_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3860,f154,f1733,f180,f3409,f1879]) ).
fof(f3872,plain,
( ~ sQ172_spl
| ~ sQ267_spl
| sQ58_spl
| sQ148_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3861,f366,f1397,f400,f3409,f1561]) ).
fof(f3873,plain,
( ~ sQ171_spl
| ~ sQ267_spl
| sQ29_spl
| sQ148_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3862,f154,f1397,f180,f3409,f1525]) ).
fof(f3875,plain,
( ~ sQ123_spl
| ~ sQ267_spl
| sQ58_spl
| sQ101_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3864,f366,f945,f400,f3409,f1120]) ).
fof(f3881,plain,
( ~ sQ221_spl
| ~ sQ266_spl
| r(f(f(c)),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f3858,f1880]) ).
fof(f3882,plain,
( ~ sQ172_spl
| ~ sQ266_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f3858,f1562]) ).
fof(f3883,plain,
( ~ sQ171_spl
| ~ sQ266_spl
| r(f(f(c)),c)
| f(f(f(f(f(c))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f3858,f1526]) ).
fof(f3885,plain,
( ~ sQ123_spl
| ~ sQ266_spl
| r(f(f(f(c))),c)
| f(f(f(f(c)))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f3858,f1121]) ).
fof(f3892,plain,
( ~ sQ221_spl
| ~ sQ266_spl
| sQ29_spl
| sQ195_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3881,f154,f1733,f180,f3405,f1879]) ).
fof(f3893,plain,
( ~ sQ172_spl
| ~ sQ266_spl
| sQ58_spl
| sQ148_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3882,f366,f1397,f400,f3405,f1561]) ).
fof(f3894,plain,
( ~ sQ171_spl
| ~ sQ266_spl
| sQ29_spl
| sQ148_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3883,f154,f1397,f180,f3405,f1525]) ).
fof(f3896,plain,
( ~ sQ123_spl
| ~ sQ266_spl
| sQ58_spl
| sQ101_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3885,f366,f945,f400,f3405,f1120]) ).
fof(f3902,plain,
( ~ sQ27_spl
| ~ sQ1_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f639,f180,f34,f172]) ).
fof(f3904,plain,
! [X0] :
( ~ sQ82_spl
| ~ r(c,f(f(f(X0))))
| ~ r(f(f(f(X0))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f777,f15]) ).
fof(f3907,plain,
! [X0] :
( ~ sQ126_spl
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1148,f133]) ).
fof(f3939,plain,
( sQ58_spl
| ~ sQ73_spl
| r(f(f(c)),c)
| f(f(f(c))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f620,f402]) ).
fof(f3942,plain,
( sQ58_spl
| ~ sQ73_spl
| sQ29_spl
| sQ49_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3939,f154,f366,f180,f619,f400]) ).
fof(f3981,definition,
! [X0] :
( sQ273_spl
<=> ( ~ r(f(f(f(f(X0)))),c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f3982,plain,
! [X0] :
( ~ sQ273_spl
| ~ r(f(f(f(f(X0)))),c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(component_clause,[status(thm)],[f3981]) ).
fof(f4009,plain,
! [X0] :
( ~ sQ6_spl
| ~ r(f(f(X0)),f(c))
| ~ r(c,f(f(X0))) ),
inference(resolution,[status(thm)],[f58,f6]) ).
fof(f4024,plain,
( ~ sQ123_spl
| ~ sQ1_spl
| ~ sQ110_spl
| r(f(f(f(c))),c)
| f(f(f(f(c)))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f2091,f1121]) ).
fof(f4025,plain,
( ~ sQ122_spl
| ~ sQ1_spl
| ~ sQ110_spl
| r(f(f(c)),c)
| f(f(f(f(c)))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f2091,f1081]) ).
fof(f4026,plain,
( ~ sQ42_spl
| ~ sQ1_spl
| ~ sQ110_spl
| r(f(f(f(c))),c)
| f(f(f(c))) = c
| f(f(f(f(c)))) = c
| ~ r(f(f(c)),f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f2091,f2460]) ).
fof(f4028,plain,
( ~ sQ48_spl
| ~ sQ1_spl
| ~ sQ110_spl
| r(f(f(f(c))),c)
| f(f(f(c))) = c
| f(f(f(f(c)))) = c
| ~ r(f(f(f(f(c)))),f(c)) ),
inference(resolution,[status(thm)],[f2091,f1151]) ).
fof(f4033,plain,
( ~ sQ123_spl
| ~ sQ1_spl
| ~ sQ110_spl
| sQ58_spl
| sQ101_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f4024,f366,f945,f400,f979,f34,f1120]) ).
fof(f4034,plain,
( ~ sQ122_spl
| ~ sQ1_spl
| ~ sQ110_spl
| sQ29_spl
| sQ101_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f4025,f154,f945,f180,f979,f34,f1080]) ).
fof(f4035,plain,
( ~ sQ42_spl
| ~ sQ1_spl
| ~ sQ110_spl
| sQ58_spl
| sQ49_spl
| sQ101_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f4026,f923,f945,f366,f400,f979,f34,f341]) ).
fof(f4037,plain,
( ~ sQ48_spl
| ~ sQ1_spl
| sQ58_spl
| sQ49_spl
| sQ101_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f4028,f979,f945,f366,f400,f34,f362]) ).
fof(f4040,definition,
! [X0] :
( sQ274_spl
<=> ( r(c,X0)
| r(f(f(f(f(c)))),X0)
| c = X0
| f(f(f(f(c)))) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f4041,plain,
! [X0] :
( ~ sQ274_spl
| r(c,X0)
| r(f(f(f(f(c)))),X0)
| c = X0
| f(f(f(f(c)))) = X0 ),
inference(component_clause,[status(thm)],[f4040]) ).
fof(f4052,plain,
! [X0] :
( sQ103_spl
| r(f(f(f(f(c)))),X0)
| r(c,X0)
| f(f(f(f(c)))) = X0
| c = X0
| c = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f953,f10]) ).
fof(f4053,plain,
( sQ103_spl
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f953,f6]) ).
fof(f4054,plain,
( sQ103_spl
| sQ274_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f4052,f945,f4040,f951]) ).
fof(f4055,plain,
( ~ sQ8_spl
| ~ sQ274_spl
| ~ r(c,f(f(f(f(c)))))
| r(c,f(c))
| c = f(c)
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f4041,f65]) ).
fof(f4057,plain,
( ~ sQ8_spl
| ~ sQ274_spl
| ~ sQ103_spl
| sQ2_spl
| sQ0_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f4055,f931,f31,f37,f951,f4040,f64]) ).
fof(f4064,plain,
( ~ sQ121_spl
| sQ103_spl
| r(f(c),c)
| f(f(f(f(c)))) = c
| f(c) = c ),
inference(resolution,[status(thm)],[f4053,f1052]) ).
fof(f4065,plain,
( ~ sQ123_spl
| sQ103_spl
| r(f(f(f(c))),c)
| f(f(f(f(c)))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f4053,f1121]) ).
fof(f4066,plain,
( ~ sQ42_spl
| sQ103_spl
| r(f(f(f(c))),c)
| f(f(f(c))) = c
| f(f(f(f(c)))) = c
| ~ r(f(f(c)),f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f4053,f2460]) ).
fof(f4068,plain,
( ~ sQ48_spl
| sQ103_spl
| r(f(f(f(c))),c)
| f(f(f(c))) = c
| f(f(f(f(c)))) = c
| ~ r(f(f(f(f(c)))),f(c)) ),
inference(resolution,[status(thm)],[f4053,f1151]) ).
fof(f4074,plain,
( ~ sQ121_spl
| sQ103_spl
| sQ7_spl
| sQ101_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f4064,f31,f945,f54,f951,f1051]) ).
fof(f4075,plain,
( ~ sQ123_spl
| sQ103_spl
| sQ58_spl
| sQ101_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f4065,f366,f945,f400,f951,f1120]) ).
fof(f4076,plain,
( ~ sQ42_spl
| sQ103_spl
| sQ58_spl
| sQ49_spl
| sQ101_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f4066,f923,f945,f366,f400,f951,f341]) ).
fof(f4078,plain,
( ~ sQ48_spl
| sQ103_spl
| sQ58_spl
| sQ49_spl
| sQ101_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f4068,f979,f945,f366,f400,f951,f362]) ).
fof(f4082,plain,
( ~ sQ121_spl
| sQ112_spl
| r(f(c),c)
| f(f(f(f(c)))) = c
| f(c) = c ),
inference(resolution,[status(thm)],[f989,f1052]) ).
fof(f4083,plain,
( ~ sQ123_spl
| sQ112_spl
| r(f(f(f(c))),c)
| f(f(f(f(c)))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f989,f1121]) ).
fof(f4084,plain,
( ~ sQ42_spl
| sQ112_spl
| r(f(f(f(c))),c)
| f(f(f(c))) = c
| f(f(f(f(c)))) = c
| ~ r(f(f(c)),f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f989,f2460]) ).
fof(f4085,plain,
( ~ sQ44_spl
| sQ112_spl
| r(f(f(f(c))),c)
| f(f(f(c))) = c
| f(f(f(f(c)))) = c
| ~ r(f(f(f(f(c)))),f(f(c))) ),
inference(resolution,[status(thm)],[f989,f2042]) ).
fof(f4089,plain,
! [X0] :
( sQ112_spl
| r(c,X0)
| r(f(f(f(f(c)))),X0)
| c = X0
| f(f(f(f(c)))) = X0
| f(f(f(f(c)))) = c ),
inference(resolution,[status(thm)],[f989,f10]) ).
fof(f4090,plain,
( sQ112_spl
| ~ r(c,f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f989,f6]) ).
fof(f4091,plain,
( ~ sQ121_spl
| sQ112_spl
| sQ7_spl
| sQ101_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f4082,f31,f945,f54,f987,f1051]) ).
fof(f4092,plain,
( ~ sQ123_spl
| sQ112_spl
| sQ58_spl
| sQ101_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f4083,f366,f945,f400,f987,f1120]) ).
fof(f4093,plain,
( ~ sQ42_spl
| sQ112_spl
| sQ58_spl
| sQ49_spl
| sQ101_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f4084,f923,f945,f366,f400,f987,f341]) ).
fof(f4094,plain,
( ~ sQ44_spl
| sQ112_spl
| sQ58_spl
| sQ49_spl
| sQ101_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f4085,f971,f945,f366,f400,f987,f348]) ).
fof(f4098,plain,
( sQ112_spl
| sQ274_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f4089,f945,f4040,f987]) ).
fof(f4099,plain,
( sQ112_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f4090,f951,f987]) ).
fof(f4100,plain,
( ~ sQ172_spl
| sQ161_spl
| r(f(f(f(c))),c)
| f(f(f(f(f(c))))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f1449,f1562]) ).
fof(f4101,plain,
( ~ sQ171_spl
| sQ161_spl
| r(f(f(c)),c)
| f(f(f(f(f(c))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f1449,f1526]) ).
fof(f4103,plain,
( ~ sQ42_spl
| sQ161_spl
| r(f(f(f(c))),c)
| f(f(f(c))) = c
| f(f(f(f(f(c))))) = c
| ~ r(f(f(c)),f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1449,f2460]) ).
fof(f4104,plain,
( ~ sQ44_spl
| sQ161_spl
| r(f(f(f(c))),c)
| f(f(f(c))) = c
| f(f(f(f(f(c))))) = c
| ~ r(f(f(f(f(f(c))))),f(f(c))) ),
inference(resolution,[status(thm)],[f1449,f2042]) ).
fof(f4105,plain,
( ~ sQ48_spl
| sQ161_spl
| r(f(f(f(c))),c)
| f(f(f(c))) = c
| f(f(f(f(f(c))))) = c
| ~ r(f(f(f(f(f(c))))),f(c)) ),
inference(resolution,[status(thm)],[f1449,f1151]) ).
fof(f4108,plain,
! [X0] :
( sQ161_spl
| r(c,X0)
| r(f(f(f(f(f(c))))),X0)
| c = X0
| f(f(f(f(f(c))))) = X0
| f(f(f(f(f(c))))) = c ),
inference(resolution,[status(thm)],[f1449,f10]) ).
fof(f4110,plain,
( ~ sQ172_spl
| sQ161_spl
| sQ58_spl
| sQ148_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f4100,f366,f1397,f400,f1447,f1561]) ).
fof(f4111,plain,
( ~ sQ171_spl
| sQ161_spl
| sQ29_spl
| sQ148_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f4101,f154,f1397,f180,f1447,f1525]) ).
fof(f4113,plain,
( ~ sQ42_spl
| sQ161_spl
| sQ58_spl
| sQ49_spl
| sQ148_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f4103,f1375,f1397,f366,f400,f1447,f341]) ).
fof(f4114,plain,
( ~ sQ44_spl
| sQ161_spl
| sQ58_spl
| sQ49_spl
| sQ148_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f4104,f1431,f1397,f366,f400,f1447,f348]) ).
fof(f4115,plain,
( ~ sQ48_spl
| sQ161_spl
| sQ58_spl
| sQ49_spl
| sQ148_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f4105,f1439,f1397,f366,f400,f1447,f362]) ).
fof(f4118,definition,
! [X0] :
( sQ275_spl
<=> ( r(c,X0)
| r(f(f(f(f(f(c))))),X0)
| c = X0
| f(f(f(f(f(c))))) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f4119,plain,
! [X0] :
( ~ sQ275_spl
| r(c,X0)
| r(f(f(f(f(f(c))))),X0)
| c = X0
| f(f(f(f(f(c))))) = X0 ),
inference(component_clause,[status(thm)],[f4118]) ).
fof(f4121,plain,
( sQ161_spl
| sQ275_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f4108,f1397,f4118,f1447]) ).
fof(f4122,plain,
( ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f2089,f987,f937,f34]) ).
fof(f4126,plain,
( sQ103_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f4053,f987,f951]) ).
fof(f4132,plain,
( ~ sQ6_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f4009,f64,f51]) ).
fof(f4134,plain,
( sQ2_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f107,f54,f37]) ).
fof(f4137,plain,
( sQ161_spl
| ~ sQ249_spl
| r(c,c)
| c = c
| f(f(f(f(f(c))))) = c ),
inference(resolution,[status(thm)],[f3855,f1449]) ).
fof(f4139,plain,
( sQ161_spl
| ~ sQ249_spl
| sQ5_spl
| sQ3_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f4137,f1397,f41,f47,f2418,f1447]) ).
fof(f4147,plain,
( sQ161_spl
| ~ sQ21_spl
| r(f(f(c)),c)
| f(f(c)) = c
| f(f(f(f(f(c))))) = c
| ~ r(f(f(f(f(f(c))))),f(c)) ),
inference(resolution,[status(thm)],[f780,f1449]) ).
fof(f4148,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ21_spl
| ~ r(f(f(f(X0))),c)
| r(f(f(c)),f(c))
| f(f(c)) = f(c)
| f(f(f(X0))) = f(c)
| ~ r(f(f(f(X0))),f(c)) ),
inference(resolution,[status(thm)],[f780,f35]) ).
fof(f4149,plain,
( sQ161_spl
| ~ sQ21_spl
| sQ29_spl
| sQ22_spl
| sQ148_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f4147,f1439,f1397,f154,f180,f150,f1447]) ).
fof(f4150,definition,
! [X0] :
( sQ276_spl
<=> ( ~ r(f(f(f(X0))),c)
| f(f(f(X0))) = f(c)
| ~ r(f(f(f(X0))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f4151,plain,
! [X0] :
( ~ sQ276_spl
| ~ r(f(f(f(X0))),c)
| f(f(f(X0))) = f(c)
| ~ r(f(f(f(X0))),f(c)) ),
inference(component_clause,[status(thm)],[f4150]) ).
fof(f4153,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| sQ27_spl
| sQ18_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f4148,f4150,f140,f172,f150,f34]) ).
fof(f4154,plain,
( sQ24_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f231,f180,f160]) ).
fof(f4158,plain,
( sQ161_spl
| ~ sQ242_spl
| r(f(c),c)
| f(c) = c
| f(f(f(f(f(c))))) = c ),
inference(resolution,[status(thm)],[f2187,f1449]) ).
fof(f4159,plain,
( sQ161_spl
| ~ sQ242_spl
| sQ7_spl
| sQ0_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f4158,f1397,f31,f54,f2186,f1447]) ).
fof(f4168,plain,
( ~ sQ123_spl
| ~ sQ19_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(f(c))) = f(f(c))
| ~ r(f(c),f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f144,f1121]) ).
fof(f4169,plain,
( ~ sQ122_spl
| ~ sQ19_spl
| r(f(f(c)),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(c)) = f(f(c))
| ~ r(f(c),f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f144,f1081]) ).
fof(f4170,plain,
( ~ sQ274_spl
| ~ sQ19_spl
| r(c,f(f(c)))
| c = f(f(c))
| f(f(f(f(c)))) = f(f(c))
| ~ r(f(c),f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f144,f4041]) ).
fof(f4178,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ19_spl
| r(f(f(c)),f(f(c)))
| f(f(c)) = f(f(c))
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),f(c))
| ~ r(f(c),f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f144,f780]) ).
fof(f4179,plain,
! [X0,X1] :
( ~ sQ19_spl
| r(f(f(c)),X1)
| r(f(f(f(X0))),X1)
| f(f(c)) = X1
| f(f(f(X0))) = X1
| f(f(f(X0))) = f(f(c))
| ~ r(f(c),f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f144,f10]) ).
fof(f4181,plain,
( ~ sQ123_spl
| ~ sQ19_spl
| sQ54_spl
| sQ93_spl
| sQ41_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f4168,f937,f338,f917,f384,f143,f1120]) ).
fof(f4182,plain,
( ~ sQ122_spl
| ~ sQ19_spl
| sQ32_spl
| sQ93_spl
| sQ30_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f4169,f937,f190,f917,f196,f143,f1080]) ).
fof(f4183,plain,
( ~ sQ274_spl
| ~ sQ19_spl
| sQ24_spl
| sQ22_spl
| sQ93_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f4170,f937,f917,f154,f160,f143,f4040]) ).
fof(f4187,definition,
! [X0] :
( sQ277_spl
<=> ( f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(c),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f4188,plain,
! [X0] :
( ~ sQ277_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f4187]) ).
fof(f4191,definition,
! [X0] :
( sQ278_spl
<=> ( f(f(f(X0))) = f(f(c))
| ~ r(c,f(f(f(X0))))
| ~ r(f(c),f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f4192,plain,
! [X0] :
( ~ sQ278_spl
| f(f(f(X0))) = f(f(c))
| ~ r(c,f(f(f(X0))))
| ~ r(f(c),f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f4191]) ).
fof(f4195,definition,
! [X0] :
( sQ279_spl
<=> ( f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),c)
| ~ r(f(c),f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f4199,definition,
! [X0] :
( sQ280_spl
<=> ( f(f(f(X0))) = f(f(c))
| ~ r(f(c),f(f(f(X0))))
| ~ r(f(c),f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f4200,plain,
! [X0] :
( ~ sQ280_spl
| f(f(f(X0))) = f(f(c))
| ~ r(f(c),f(f(f(X0))))
| ~ r(f(c),f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f4199]) ).
fof(f4203,definition,
! [X0] :
( sQ281_spl
<=> ( f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),f(c))
| ~ r(f(c),f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f4204,plain,
! [X0] :
( ~ sQ281_spl
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),f(c))
| ~ r(f(c),f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f4203]) ).
fof(f4206,plain,
( ~ sQ21_spl
| ~ sQ19_spl
| sQ32_spl
| sQ30_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f4178,f4203,f190,f196,f143,f150]) ).
fof(f4207,plain,
( ~ sQ19_spl
| ~ sQ275_spl
| ~ r(f(c),f(f(f(f(f(c))))))
| r(c,f(f(c)))
| c = f(f(c))
| f(f(f(f(f(c))))) = f(f(c)) ),
inference(resolution,[status(thm)],[f4119,f144]) ).
fof(f4208,plain,
( ~ sQ19_spl
| ~ sQ275_spl
| ~ sQ146_spl
| sQ24_spl
| sQ22_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f4207,f1369,f154,f160,f1389,f4118,f143]) ).
fof(f4211,plain,
( ~ sQ19_spl
| ~ sQ221_spl
| ~ r(f(c),f(f(f(f(f(f(c)))))))
| r(f(f(c)),f(f(c)))
| f(f(f(f(f(f(c)))))) = f(f(c))
| f(f(c)) = f(f(c)) ),
inference(resolution,[status(thm)],[f1880,f144]) ).
fof(f4212,plain,
( ~ sQ19_spl
| ~ sQ221_spl
| ~ sQ193_spl
| sQ32_spl
| sQ187_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f4211,f190,f1705,f196,f1725,f1879,f143]) ).
fof(f4214,definition,
! [X0] :
( sQ282_spl
<=> ( ~ r(f(c),f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(c,f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f4218,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ48_spl
| ~ r(f(c),f(f(f(f(X0)))))
| r(f(f(f(c))),f(f(c)))
| f(f(f(c))) = f(f(c))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f1151,f144]) ).
fof(f4219,definition,
! [X0] :
( sQ283_spl
<=> ( ~ r(f(c),f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f4220,plain,
! [X0] :
( ~ sQ283_spl
| ~ r(f(c),f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(component_clause,[status(thm)],[f4219]) ).
fof(f4222,plain,
( ~ sQ19_spl
| ~ sQ48_spl
| sQ54_spl
| sQ41_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f4218,f4219,f338,f384,f362,f143]) ).
fof(f4223,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ44_spl
| ~ r(f(c),f(f(f(f(X0)))))
| r(f(f(f(c))),f(f(c)))
| f(f(f(c))) = f(f(c))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(resolution,[status(thm)],[f2042,f144]) ).
fof(f4224,definition,
! [X0] :
( sQ284_spl
<=> ( ~ r(f(c),f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f4227,plain,
( ~ sQ19_spl
| ~ sQ44_spl
| sQ54_spl
| sQ41_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f4223,f4224,f338,f384,f348,f143]) ).
fof(f4233,plain,
( ~ sQ123_spl
| ~ sQ21_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(f(c))) = f(f(c))
| ~ r(f(f(f(f(c)))),f(c)) ),
inference(resolution,[status(thm)],[f151,f1121]) ).
fof(f4235,plain,
( ~ sQ274_spl
| ~ sQ21_spl
| r(c,f(f(c)))
| c = f(f(c))
| f(f(f(f(c)))) = f(f(c))
| ~ r(f(f(f(f(c)))),f(c)) ),
inference(resolution,[status(thm)],[f151,f4041]) ).
fof(f4236,plain,
( ~ sQ172_spl
| ~ sQ21_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(f(c))))) = f(f(c))
| f(f(f(c))) = f(f(c))
| ~ r(f(f(f(f(f(c))))),f(c)) ),
inference(resolution,[status(thm)],[f151,f1562]) ).
fof(f4237,plain,
( ~ sQ275_spl
| ~ sQ21_spl
| r(c,f(f(c)))
| c = f(f(c))
| f(f(f(f(f(c))))) = f(f(c))
| ~ r(f(f(f(f(f(c))))),f(c)) ),
inference(resolution,[status(thm)],[f151,f4119]) ).
fof(f4242,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ21_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(c))) = f(f(c))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(f(c)))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f151,f2042]) ).
fof(f4243,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ21_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(c))) = f(f(c))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(c))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f151,f1151]) ).
fof(f4244,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ21_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| f(f(f(c))) = f(f(c))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f151,f2389]) ).
fof(f4245,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ21_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(c))) = f(f(c))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f151,f2426]) ).
fof(f4248,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ21_spl
| r(f(f(c)),f(f(c)))
| f(f(f(X0))) = f(f(c))
| f(f(c)) = f(f(c))
| ~ r(f(c),f(f(f(X0))))
| ~ r(f(f(f(X0))),f(c)) ),
inference(resolution,[status(thm)],[f151,f856]) ).
fof(f4249,plain,
! [X0] :
( ~ sQ21_spl
| r(f(f(c)),f(f(c)))
| f(f(c)) = f(f(c))
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),f(c))
| ~ r(f(f(f(X0))),f(c)) ),
inference(resolution,[status(thm)],[f151,f780]) ).
fof(f4252,plain,
( ~ sQ123_spl
| ~ sQ21_spl
| sQ54_spl
| sQ93_spl
| sQ41_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f4233,f979,f338,f917,f384,f150,f1120]) ).
fof(f4254,plain,
( ~ sQ274_spl
| ~ sQ21_spl
| sQ24_spl
| sQ22_spl
| sQ93_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f4235,f979,f917,f154,f160,f150,f4040]) ).
fof(f4255,plain,
( ~ sQ172_spl
| ~ sQ21_spl
| sQ54_spl
| sQ140_spl
| sQ41_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f4236,f1439,f338,f1369,f384,f150,f1561]) ).
fof(f4256,plain,
( ~ sQ275_spl
| ~ sQ21_spl
| sQ24_spl
| sQ22_spl
| sQ140_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f4237,f1439,f1369,f154,f160,f150,f4118]) ).
fof(f4264,definition,
! [X0] :
( sQ287_spl
<=> ( f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(f(c)))
| ~ r(f(f(f(f(X0)))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f4267,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| sQ54_spl
| sQ41_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f4242,f4264,f338,f384,f150,f348]) ).
fof(f4268,definition,
! [X0] :
( sQ288_spl
<=> ( f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(c))
| ~ r(f(f(f(f(X0)))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f4269,plain,
! [X0] :
( ~ sQ288_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(c))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(component_clause,[status(thm)],[f4268]) ).
fof(f4271,plain,
( ~ sQ48_spl
| ~ sQ21_spl
| sQ54_spl
| sQ41_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f4243,f4268,f338,f384,f150,f362]) ).
fof(f4272,definition,
! [X0] :
( sQ289_spl
<=> ( f(f(f(f(X0)))) = f(f(c))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f4273,plain,
! [X0] :
( ~ sQ289_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(component_clause,[status(thm)],[f4272]) ).
fof(f4275,plain,
( ~ sQ57_spl
| ~ sQ21_spl
| sQ54_spl
| sQ41_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f4244,f4272,f338,f384,f150,f396]) ).
fof(f4276,definition,
! [X0] :
( sQ290_spl
<=> ( f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f4277,plain,
! [X0] :
( ~ sQ290_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(component_clause,[status(thm)],[f4276]) ).
fof(f4279,plain,
( ~ sQ52_spl
| ~ sQ21_spl
| sQ54_spl
| sQ41_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f4245,f4276,f338,f384,f150,f376]) ).
fof(f4282,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| sQ32_spl
| sQ30_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f4248,f4203,f190,f196,f150,f168]) ).
fof(f4283,definition,
! [X0] :
( sQ291_spl
<=> ( f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),f(c))
| ~ r(f(f(f(X0))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f4284,plain,
! [X0] :
( ~ sQ291_spl
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),f(c))
| ~ r(f(f(f(X0))),f(c)) ),
inference(component_clause,[status(thm)],[f4283]) ).
fof(f4286,plain,
( ~ sQ21_spl
| sQ32_spl
| sQ30_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f4249,f4283,f190,f196,f150]) ).
fof(f4287,plain,
! [X0] :
( ~ sQ281_spl
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4204,f6]) ).
fof(f4288,plain,
! [X0] :
( ~ sQ81_spl
| ~ r(f(f(f(X0))),c)
| ~ r(f(f(f(X0))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f773,f15]) ).
fof(f4293,plain,
! [X0] :
( ~ sQ254_spl
| ~ sQ26_spl
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(backward_subsumption_resolution,[status(thm)],[f2570,f185]) ).
fof(f4296,plain,
( ~ sQ123_spl
| ~ sQ25_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(f(c))) = f(f(c))
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f165,f1121]) ).
fof(f4298,plain,
( ~ sQ172_spl
| ~ sQ25_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(f(c))))) = f(f(c))
| f(f(f(c))) = f(f(c))
| ~ r(f(f(f(f(f(c))))),c) ),
inference(resolution,[status(thm)],[f165,f1562]) ).
fof(f4301,plain,
( ~ sQ243_spl
| ~ sQ25_spl
| r(f(c),f(f(c)))
| f(c) = f(f(c))
| f(f(f(f(f(f(c)))))) = f(f(c))
| ~ r(f(f(f(f(f(f(c)))))),c) ),
inference(resolution,[status(thm)],[f165,f2204]) ).
fof(f4306,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ25_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(c))) = f(f(c))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(c))
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f165,f1151]) ).
fof(f4307,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ25_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| f(f(f(c))) = f(f(c))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f165,f2389]) ).
fof(f4315,plain,
( ~ sQ123_spl
| ~ sQ25_spl
| sQ54_spl
| sQ93_spl
| sQ41_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f4296,f987,f338,f917,f384,f164,f1120]) ).
fof(f4317,plain,
( ~ sQ172_spl
| ~ sQ25_spl
| sQ54_spl
| sQ140_spl
| sQ41_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f4298,f1447,f338,f1369,f384,f164,f1561]) ).
fof(f4320,plain,
( ~ sQ243_spl
| ~ sQ25_spl
| sQ20_spl
| sQ18_spl
| sQ187_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f4301,f1791,f1705,f140,f146,f164,f2203]) ).
fof(f4331,plain,
( ~ sQ48_spl
| ~ sQ25_spl
| sQ54_spl
| sQ41_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f4306,f4276,f338,f384,f164,f362]) ).
fof(f4332,definition,
! [X0] :
( sQ294_spl
<=> ( f(f(f(f(X0)))) = f(f(c))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f4333,plain,
! [X0] :
( ~ sQ294_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),c) ),
inference(component_clause,[status(thm)],[f4332]) ).
fof(f4335,plain,
( ~ sQ57_spl
| ~ sQ25_spl
| sQ54_spl
| sQ41_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f4307,f4332,f338,f384,f164,f396]) ).
fof(f4336,definition,
! [X0] :
( sQ295_spl
<=> ( f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f4337,plain,
! [X0] :
( ~ sQ295_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(component_clause,[status(thm)],[f4336]) ).
fof(f4344,plain,
! [X0] :
( ~ sQ290_spl
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4277,f15]) ).
fof(f4346,plain,
! [X0] :
( sQ150_spl
| r(f(f(f(f(f(c))))),X0)
| r(c,X0)
| f(f(f(f(f(c))))) = X0
| c = X0
| c = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f1405,f10]) ).
fof(f4347,plain,
( sQ150_spl
| ~ r(f(f(f(f(f(c))))),c) ),
inference(resolution,[status(thm)],[f1405,f6]) ).
fof(f4348,plain,
( sQ150_spl
| sQ275_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f4346,f1397,f4118,f1403]) ).
fof(f4349,plain,
( sQ150_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f4347,f1447,f1403]) ).
fof(f4350,plain,
( ~ sQ26_spl
| ~ sQ43_spl
| ~ r(f(c),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f345,f185]) ).
fof(f4351,plain,
( ~ sQ26_spl
| ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f4350,f358,f344,f168]) ).
fof(f4352,plain,
( sQ47_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f686,f392,f358]) ).
fof(f4354,plain,
( ~ sQ43_spl
| ~ sQ28_spl
| ~ r(c,f(f(f(c)))) ),
inference(resolution,[status(thm)],[f184,f345]) ).
fof(f4357,plain,
( ~ sQ43_spl
| ~ sQ28_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f4354,f372,f176,f344]) ).
fof(f4391,plain,
( ~ sQ21_spl
| ~ sQ54_spl
| ~ r(f(f(f(c))),f(c)) ),
inference(resolution,[status(thm)],[f385,f151]) ).
fof(f4392,plain,
( ~ sQ19_spl
| ~ sQ54_spl
| ~ r(f(c),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f385,f144]) ).
fof(f4393,plain,
( ~ sQ16_spl
| sQ99_spl
| r(c,f(f(f(f(c)))))
| f(c) = f(f(f(f(c))))
| c = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f939,f109]) ).
fof(f4396,plain,
( ~ sQ16_spl
| sQ99_spl
| sQ103_spl
| sQ97_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f4393,f945,f931,f951,f937,f108]) ).
fof(f4398,plain,
( ~ sQ121_spl
| ~ sQ50_spl
| r(f(c),f(f(f(c))))
| f(f(f(f(c)))) = f(f(f(c)))
| f(c) = f(f(f(c)))
| ~ r(c,f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f370,f1052]) ).
fof(f4400,plain,
( ~ sQ122_spl
| ~ sQ50_spl
| r(f(f(c)),f(f(f(c))))
| f(f(f(f(c)))) = f(f(f(c)))
| f(f(c)) = f(f(f(c)))
| ~ r(c,f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f370,f1081]) ).
fof(f4409,plain,
( ~ sQ121_spl
| ~ sQ50_spl
| sQ47_spl
| sQ89_spl
| sQ45_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f4398,f951,f352,f903,f358,f369,f1051]) ).
fof(f4411,plain,
( ~ sQ122_spl
| ~ sQ50_spl
| sQ43_spl
| sQ89_spl
| sQ41_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f4400,f951,f338,f903,f344,f369,f1080]) ).
fof(f4414,definition,
! [X0] :
( sQ296_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(c,f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f4415,plain,
! [X0] :
( ~ sQ296_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(c,f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f4414]) ).
fof(f4419,definition,
! [X0] :
( sQ297_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(c),f(f(f(f(X0)))))
| ~ r(c,f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f4425,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ34_spl
| r(c,f(f(f(X0))))
| f(f(c)) = f(f(f(X0)))
| c = f(f(f(X0)))
| ~ r(f(f(f(X0))),f(c)) ),
inference(resolution,[status(thm)],[f215,f233]) ).
fof(f4428,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ34_spl
| r(c,f(f(f(X0))))
| f(f(c)) = f(f(f(X0)))
| ~ r(f(f(f(X0))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4425,f11]) ).
fof(f4429,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ34_spl
| r(c,f(f(f(X0))))
| ~ r(f(f(f(X0))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4428,f15]) ).
fof(f4435,plain,
! [X0] :
( ~ sQ52_spl
| r(f(f(f(c))),f(f(f(c))))
| f(f(f(c))) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f377,f2426]) ).
fof(f4445,plain,
( ~ sQ52_spl
| sQ61_spl
| sQ59_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f4435,f2418,f418,f424,f376]) ).
fof(f4446,definition,
! [X0] :
( sQ298_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(c),f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f4447,plain,
! [X0] :
( ~ sQ298_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(c),f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),c) ),
inference(component_clause,[status(thm)],[f4446]) ).
fof(f4451,plain,
! [X0] :
( ~ sQ125_spl
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1144,f133]) ).
fof(f4452,plain,
( ~ sQ150_spl
| ~ sQ250_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1404,f2801]) ).
fof(f4453,plain,
( ~ sQ103_spl
| ~ sQ250_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f952,f2801]) ).
fof(f4456,plain,
! [X0,X1] :
( ~ sQ250_spl
| r(f(f(f(f(X0)))),X1)
| r(c,X1)
| f(f(f(f(X0)))) = X1
| c = X1
| c = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f2801,f10]) ).
fof(f4458,plain,
( ~ sQ150_spl
| ~ sQ250_spl ),
inference(contradiction_clause,[status(thm)],[f4452]) ).
fof(f4460,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ57_spl
| r(f(f(c)),f(f(f(f(X0)))))
| f(f(f(c))) = f(f(f(f(X0))))
| f(f(c)) = f(f(f(f(X0))))
| ~ r(f(c),f(f(f(c))))
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f404,f856]) ).
fof(f4465,definition,
! [X0] :
( sQ299_spl
<=> ( r(f(f(c)),f(f(f(f(X0)))))
| f(f(f(c))) = f(f(f(f(X0))))
| f(f(c)) = f(f(f(f(X0))))
| ~ r(c,f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f4466,plain,
! [X0] :
( ~ sQ299_spl
| r(f(f(c)),f(f(f(f(X0)))))
| f(f(f(c))) = f(f(f(f(X0))))
| f(f(c)) = f(f(f(f(X0))))
| ~ r(c,f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f4465]) ).
fof(f4468,plain,
( ~ sQ26_spl
| ~ sQ57_spl
| ~ sQ47_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f4460,f4465,f358,f396,f168]) ).
fof(f4471,plain,
! [X0] :
( ~ sQ299_spl
| r(f(f(c)),f(f(f(f(X0)))))
| f(f(f(c))) = f(f(f(f(X0))))
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f4466,f15]) ).
fof(f4473,plain,
! [X0] :
( ~ sQ299_spl
| r(f(f(c)),f(f(f(f(X0)))))
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f4471,f133]) ).
fof(f4474,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ299_spl
| ~ r(f(f(f(f(X0)))),f(c))
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f4473,f215]) ).
fof(f4476,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ299_spl
| ~ sQ37_spl
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4474,f4429]) ).
fof(f4484,plain,
( ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ299_spl
| ~ sQ37_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f980,f4476]) ).
fof(f4487,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ34_spl
| ~ sQ299_spl
| ~ sQ37_spl
| r(f(f(f(c))),f(c))
| f(f(f(f(X0)))) = f(c)
| f(f(f(c))) = f(c)
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f4476,f2389]) ).
fof(f4490,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ34_spl
| ~ sQ299_spl
| ~ sQ37_spl
| r(f(f(f(c))),f(c))
| f(f(f(c))) = f(c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f4476,f2426]) ).
fof(f4495,plain,
( ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ299_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f4484]) ).
fof(f4497,plain,
( ~ sQ122_spl
| ~ sQ235_spl
| r(f(f(c)),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(c)) = f(f(c)) ),
inference(resolution,[status(thm)],[f2088,f1081]) ).
fof(f4506,plain,
( ~ sQ122_spl
| ~ sQ235_spl
| sQ32_spl
| sQ93_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f4497,f190,f917,f196,f2076,f1080]) ).
fof(f4513,definition,
! [X0] :
( sQ301_spl
<=> ( f(f(f(f(X0)))) = f(f(c))
| ~ r(f(c),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f4514,plain,
! [X0] :
( ~ sQ301_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f4513]) ).
fof(f4517,definition,
! [X0] :
( sQ302_spl
<=> ( f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f4518,plain,
! [X0] :
( ~ sQ302_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(component_clause,[status(thm)],[f4517]) ).
fof(f4528,plain,
( ~ sQ161_spl
| ~ sQ239_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1448,f2680]) ).
fof(f4529,plain,
( ~ sQ112_spl
| ~ sQ239_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f988,f2680]) ).
fof(f4533,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ239_spl
| r(f(f(f(c))),c)
| f(f(f(f(X0)))) = c
| f(f(f(c))) = c
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f2680,f2389]) ).
fof(f4539,plain,
( ~ sQ161_spl
| ~ sQ239_spl ),
inference(contradiction_clause,[status(thm)],[f4528]) ).
fof(f4544,plain,
( ~ sQ150_spl
| ~ sQ240_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1404,f2681]) ).
fof(f4548,plain,
! [X0,X1] :
( ~ sQ240_spl
| r(f(f(f(f(X0)))),X1)
| r(c,X1)
| f(f(f(f(X0)))) = X1
| c = X1
| c = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f2681,f10]) ).
fof(f4550,plain,
( ~ sQ150_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f4544]) ).
fof(f4561,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ44_spl
| r(f(f(c)),f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| f(f(c)) = f(f(f(c)))
| ~ r(f(c),f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(resolution,[status(thm)],[f349,f856]) ).
fof(f4562,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ44_spl
| r(f(f(c)),f(f(f(c))))
| f(f(c)) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(c))
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(resolution,[status(thm)],[f349,f780]) ).
fof(f4571,definition,
! [X0] :
( sQ303_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(c),f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f4574,plain,
( ~ sQ26_spl
| ~ sQ44_spl
| sQ43_spl
| sQ41_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f4561,f4571,f338,f344,f348,f168]) ).
fof(f4575,definition,
! [X0] :
( sQ304_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(c))
| ~ r(f(f(f(f(X0)))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f4578,plain,
( ~ sQ21_spl
| ~ sQ44_spl
| sQ43_spl
| sQ41_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f4562,f4575,f338,f344,f348,f150]) ).
fof(f4604,plain,
! [X0,X1] :
( ~ sQ258_spl
| r(f(f(f(f(X0)))),X1)
| r(f(f(c)),X1)
| f(f(f(f(X0)))) = X1
| f(f(c)) = X1
| f(f(c)) = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f2637,f10]) ).
fof(f4607,plain,
! [X0,X1] :
( ~ sQ258_spl
| r(f(f(f(f(X1)))),X0)
| r(f(f(c)),X0)
| f(f(f(f(X1)))) = X0
| f(f(c)) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f4604,f15]) ).
fof(f4610,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ258_spl
| ~ r(f(f(f(f(X0)))),f(f(c)))
| r(f(f(c)),f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| f(f(c)) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f4607,f349]) ).
fof(f4613,plain,
( ~ sQ44_spl
| ~ sQ258_spl
| sQ43_spl
| sQ231_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f4610,f338,f2030,f344,f2600,f348]) ).
fof(f4616,plain,
! [X0] :
( ~ sQ301_spl
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f4514,f15]) ).
fof(f4617,plain,
! [X0] :
( ~ sQ302_spl
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4518,f15]) ).
fof(f4636,plain,
( ~ sQ99_spl
| ~ sQ301_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f938,f4616]) ).
fof(f4640,plain,
( ~ sQ99_spl
| ~ sQ301_spl ),
inference(contradiction_clause,[status(thm)],[f4636]) ).
fof(f4641,plain,
( ~ sQ110_spl
| ~ sQ302_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f980,f4617]) ).
fof(f4645,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ302_spl
| r(f(f(f(c))),f(c))
| f(f(f(f(X0)))) = f(c)
| f(f(f(c))) = f(c)
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f4617,f2389]) ).
fof(f4648,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ302_spl
| r(f(f(c)),f(c))
| f(f(f(f(X0)))) = f(c)
| f(f(c)) = f(c)
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f4617,f856]) ).
fof(f4652,plain,
( ~ sQ110_spl
| ~ sQ302_spl ),
inference(contradiction_clause,[status(thm)],[f4641]) ).
fof(f4654,plain,
! [X0,X1] :
( ~ sQ254_spl
| ~ sQ26_spl
| r(f(f(f(f(X0)))),X1)
| r(f(f(c)),X1)
| f(f(f(f(X0)))) = X1
| f(f(c)) = X1
| f(f(c)) = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f4293,f10]) ).
fof(f4657,plain,
! [X0,X1] :
( ~ sQ254_spl
| ~ sQ26_spl
| r(f(f(f(f(X1)))),X0)
| r(f(f(c)),X0)
| f(f(f(f(X1)))) = X0
| f(f(c)) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f4654,f15]) ).
fof(f4660,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ254_spl
| ~ sQ26_spl
| ~ r(f(f(f(f(X0)))),f(f(c)))
| r(f(f(c)),f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| f(f(c)) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f4657,f349]) ).
fof(f4663,plain,
( ~ sQ44_spl
| ~ sQ254_spl
| ~ sQ26_spl
| sQ43_spl
| sQ231_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f4660,f338,f2030,f344,f168,f2551,f348]) ).
fof(f4689,plain,
! [X0] :
( ~ sQ259_spl
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(resolution,[status(thm)],[f2900,f6]) ).
fof(f4692,plain,
( ~ sQ122_spl
| ~ sQ259_spl
| r(f(f(c)),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(c)) = f(f(c)) ),
inference(resolution,[status(thm)],[f4689,f1081]) ).
fof(f4700,plain,
( ~ sQ122_spl
| ~ sQ259_spl
| sQ32_spl
| sQ93_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f4692,f190,f917,f196,f2750,f1080]) ).
fof(f4708,plain,
! [X0] :
( ~ sQ298_spl
| ~ r(f(c),f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f4447,f133]) ).
fof(f4709,plain,
! [X0] :
( ~ sQ277_spl
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f4188,f15]) ).
fof(f4711,plain,
! [X0] :
( ~ sQ289_spl
| ~ sQ37_spl
| ~ sQ34_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4273,f4429]) ).
fof(f4712,plain,
( ~ sQ110_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ34_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f980,f4713]) ).
fof(f4713,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ34_spl
| ~ r(f(f(f(X0))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3904,f4429]) ).
fof(f4720,plain,
( ~ sQ110_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f4712]) ).
fof(f4729,plain,
( ~ sQ19_spl
| ~ sQ173_spl
| ~ r(f(c),f(f(f(f(f(c))))))
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(f(c))))) = f(f(c))
| f(f(f(f(c)))) = f(f(c)) ),
inference(resolution,[status(thm)],[f1598,f144]) ).
fof(f4730,plain,
( ~ sQ19_spl
| ~ sQ173_spl
| ~ sQ146_spl
| sQ108_spl
| sQ140_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f4729,f917,f1369,f971,f1389,f1597,f143]) ).
fof(f4731,plain,
( ~ sQ19_spl
| ~ sQ244_spl
| ~ r(f(c),f(f(f(f(f(f(c)))))))
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(f(f(c)))))) = f(f(c))
| f(f(f(f(c)))) = f(f(c)) ),
inference(resolution,[status(thm)],[f2223,f144]) ).
fof(f4732,plain,
( ~ sQ19_spl
| ~ sQ244_spl
| ~ sQ193_spl
| sQ108_spl
| sQ187_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f4731,f917,f1705,f971,f1725,f2222,f143]) ).
fof(f4733,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ96_spl
| ~ r(f(c),f(f(f(f(f(X0))))))
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ),
inference(resolution,[status(thm)],[f1962,f144]) ).
fof(f4734,definition,
! [X0] :
( sQ307_spl
<=> ( ~ r(f(c),f(f(f(f(f(X0))))))
| f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f4737,plain,
( ~ sQ19_spl
| ~ sQ96_spl
| sQ108_spl
| sQ93_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f4733,f4734,f917,f971,f927,f143]) ).
fof(f4738,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ92_spl
| ~ r(f(c),f(f(f(f(f(X0))))))
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f2267,f144]) ).
fof(f4739,definition,
! [X0] :
( sQ308_spl
<=> ( ~ r(f(c),f(f(f(f(f(X0))))))
| f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c)))) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f4742,plain,
( ~ sQ19_spl
| ~ sQ92_spl
| sQ108_spl
| sQ93_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f4738,f4739,f917,f971,f913,f143]) ).
fof(f4745,plain,
( ~ sQ73_spl
| sQ56_spl
| r(f(f(c)),f(c))
| f(f(f(c))) = f(c)
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f394,f620]) ).
fof(f4751,plain,
( ~ sQ73_spl
| sQ56_spl
| sQ27_spl
| sQ45_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f4745,f140,f352,f172,f392,f619]) ).
fof(f4769,plain,
( ~ sQ37_spl
| sQ43_spl
| r(c,f(f(f(c))))
| f(f(c)) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f346,f233]) ).
fof(f4772,plain,
( ~ sQ37_spl
| sQ43_spl
| sQ51_spl
| sQ41_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f4769,f366,f338,f372,f344,f232]) ).
fof(f4776,plain,
( ~ sQ244_spl
| ~ sQ21_spl
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(f(f(c)))))) = f(f(c))
| f(f(f(f(c)))) = f(f(c))
| ~ r(f(f(f(f(f(f(c)))))),f(c)) ),
inference(resolution,[status(thm)],[f151,f2223]) ).
fof(f4780,plain,
( ~ sQ173_spl
| ~ sQ21_spl
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(f(c))))) = f(f(c))
| f(f(f(f(c)))) = f(f(c))
| ~ r(f(f(f(f(f(c))))),f(c)) ),
inference(resolution,[status(thm)],[f151,f1598]) ).
fof(f4781,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ21_spl
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(c)) ),
inference(resolution,[status(thm)],[f151,f2267]) ).
fof(f4782,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ21_spl
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(c)))
| ~ r(f(f(f(f(f(X0))))),f(c)) ),
inference(resolution,[status(thm)],[f151,f1962]) ).
fof(f4791,plain,
( ~ sQ244_spl
| ~ sQ21_spl
| sQ108_spl
| sQ187_spl
| sQ93_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f4776,f1783,f917,f1705,f971,f150,f2222]) ).
fof(f4795,plain,
( ~ sQ173_spl
| ~ sQ21_spl
| sQ108_spl
| sQ140_spl
| sQ93_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f4780,f1439,f917,f1369,f971,f150,f1597]) ).
fof(f4796,definition,
! [X0] :
( sQ309_spl
<=> ( f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f4799,plain,
( ~ sQ92_spl
| ~ sQ21_spl
| sQ108_spl
| sQ93_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f4781,f4796,f917,f971,f150,f913]) ).
fof(f4800,definition,
! [X0] :
( sQ310_spl
<=> ( f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(c)))
| ~ r(f(f(f(f(f(X0))))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f4803,plain,
( ~ sQ96_spl
| ~ sQ21_spl
| sQ108_spl
| sQ93_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f4782,f4800,f917,f971,f150,f927]) ).
fof(f4817,plain,
( ~ sQ110_spl
| ~ sQ81_spl
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f4288,f980]) ).
fof(f4818,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ81_spl
| r(f(f(f(c))),f(c))
| f(f(f(f(X0)))) = f(c)
| f(f(f(c))) = f(c)
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f4288,f2389]) ).
fof(f4820,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ81_spl
| r(f(f(c)),f(c))
| f(f(c)) = f(c)
| f(f(f(X0))) = f(c)
| ~ r(f(f(f(X0))),f(c))
| ~ r(f(f(f(X0))),c) ),
inference(resolution,[status(thm)],[f4288,f780]) ).
fof(f4821,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ81_spl
| r(f(f(c)),f(c))
| f(f(f(X0))) = f(c)
| f(f(c)) = f(c)
| ~ r(f(c),f(f(f(X0))))
| ~ r(f(f(f(X0))),c) ),
inference(resolution,[status(thm)],[f4288,f856]) ).
fof(f4833,plain,
( ~ sQ110_spl
| ~ sQ81_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f4817,f987,f772,f979]) ).
fof(f4834,plain,
( ~ sQ57_spl
| ~ sQ81_spl
| sQ56_spl
| sQ45_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f4818,f2878,f352,f392,f772,f396]) ).
fof(f4836,plain,
( ~ sQ21_spl
| ~ sQ81_spl
| sQ27_spl
| sQ18_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f4820,f4150,f140,f172,f772,f150]) ).
fof(f4837,definition,
! [X0] :
( sQ311_spl
<=> ( f(f(f(X0))) = f(c)
| ~ r(f(c),f(f(f(X0))))
| ~ r(f(f(f(X0))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f4838,plain,
! [X0] :
( ~ sQ311_spl
| f(f(f(X0))) = f(c)
| ~ r(f(c),f(f(f(X0))))
| ~ r(f(f(f(X0))),c) ),
inference(component_clause,[status(thm)],[f4837]) ).
fof(f4840,plain,
( ~ sQ26_spl
| ~ sQ81_spl
| sQ27_spl
| sQ18_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f4821,f4837,f140,f172,f772,f168]) ).
fof(f4842,plain,
! [X0] :
( ~ sQ276_spl
| ~ r(f(f(f(X0))),c)
| ~ r(f(f(f(X0))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4151,f13]) ).
fof(f4846,plain,
( ~ sQ242_spl
| ~ sQ50_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(f(c))))) = f(f(f(c)))
| ~ r(c,f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f370,f2187]) ).
fof(f4859,plain,
( ~ sQ242_spl
| ~ sQ50_spl
| sQ47_spl
| sQ45_spl
| sQ136_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f4846,f1403,f1355,f352,f358,f369,f2186]) ).
fof(f4874,plain,
( ~ sQ243_spl
| ~ sQ52_spl
| r(f(c),f(f(f(c))))
| f(c) = f(f(f(c)))
| f(f(f(f(f(f(c)))))) = f(f(f(c)))
| ~ r(f(f(f(f(f(f(c)))))),c) ),
inference(resolution,[status(thm)],[f377,f2204]) ).
fof(f4885,plain,
( ~ sQ243_spl
| ~ sQ52_spl
| sQ47_spl
| sQ45_spl
| sQ183_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f4874,f1791,f1691,f352,f358,f376,f2203]) ).
fof(f4899,plain,
( ~ sQ161_spl
| ~ sQ260_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1448,f2898]) ).
fof(f4911,plain,
( ~ sQ161_spl
| ~ sQ260_spl ),
inference(contradiction_clause,[status(thm)],[f4899]) ).
fof(f4912,plain,
( ~ sQ244_spl
| sQ210_spl
| r(f(f(f(f(c)))),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(f(f(c)))) = c ),
inference(resolution,[status(thm)],[f1793,f2223]) ).
fof(f4913,plain,
( ~ sQ243_spl
| sQ210_spl
| r(f(c),c)
| f(c) = c
| f(f(f(f(f(f(c)))))) = c ),
inference(resolution,[status(thm)],[f1793,f2204]) ).
fof(f4914,plain,
( ~ sQ92_spl
| sQ210_spl
| r(f(f(f(f(c)))),c)
| f(f(f(f(c)))) = c
| f(f(f(f(f(f(c)))))) = c
| ~ r(f(f(f(f(f(f(c)))))),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f1793,f2267]) ).
fof(f4915,plain,
( ~ sQ96_spl
| sQ210_spl
| r(f(f(f(f(c)))),c)
| f(f(f(f(c)))) = c
| f(f(f(f(f(f(c)))))) = c
| ~ r(f(f(f(f(f(f(c)))))),f(f(c))) ),
inference(resolution,[status(thm)],[f1793,f1962]) ).
fof(f4917,plain,
( ~ sQ21_spl
| sQ210_spl
| r(f(f(c)),c)
| f(f(c)) = c
| f(f(f(f(f(f(c)))))) = c
| ~ r(f(f(f(f(f(f(c)))))),f(c)) ),
inference(resolution,[status(thm)],[f1793,f780]) ).
fof(f4918,plain,
( ~ sQ26_spl
| sQ210_spl
| r(f(f(c)),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(c)) = c
| ~ r(f(c),f(f(f(f(f(f(c))))))) ),
inference(resolution,[status(thm)],[f1793,f856]) ).
fof(f4919,plain,
! [X0] :
( sQ210_spl
| r(c,X0)
| r(f(f(f(f(f(f(c)))))),X0)
| c = X0
| f(f(f(f(f(f(c)))))) = X0
| f(f(f(f(f(f(c)))))) = c ),
inference(resolution,[status(thm)],[f1793,f10]) ).
fof(f4921,plain,
( ~ sQ244_spl
| sQ210_spl
| sQ112_spl
| sQ195_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f4912,f945,f1733,f987,f1791,f2222]) ).
fof(f4922,plain,
( ~ sQ243_spl
| sQ210_spl
| sQ7_spl
| sQ0_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f4913,f1733,f31,f54,f1791,f2203]) ).
fof(f4923,plain,
( ~ sQ92_spl
| sQ210_spl
| sQ112_spl
| sQ101_spl
| sQ195_spl
| ~ sQ204_spl ),
inference(split_clause,[status(thm)],[f4914,f1767,f1733,f945,f987,f1791,f913]) ).
fof(f4924,plain,
( ~ sQ96_spl
| sQ210_spl
| sQ112_spl
| sQ101_spl
| sQ195_spl
| ~ sQ206_spl ),
inference(split_clause,[status(thm)],[f4915,f1775,f1733,f945,f987,f1791,f927]) ).
fof(f4926,plain,
( ~ sQ21_spl
| sQ210_spl
| sQ29_spl
| sQ22_spl
| sQ195_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f4917,f1783,f1733,f154,f180,f1791,f150]) ).
fof(f4927,plain,
( ~ sQ26_spl
| sQ210_spl
| sQ29_spl
| sQ195_spl
| sQ22_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f4918,f1725,f154,f1733,f180,f1791,f168]) ).
fof(f4928,definition,
! [X0] :
( sQ316_spl
<=> ( r(c,X0)
| r(f(f(f(f(f(f(c)))))),X0)
| c = X0
| f(f(f(f(f(f(c)))))) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f4929,plain,
! [X0] :
( ~ sQ316_spl
| r(c,X0)
| r(f(f(f(f(f(f(c)))))),X0)
| c = X0
| f(f(f(f(f(f(c)))))) = X0 ),
inference(component_clause,[status(thm)],[f4928]) ).
fof(f4931,plain,
( sQ210_spl
| sQ316_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f4919,f1733,f4928,f1791]) ).
fof(f4932,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ57_spl
| r(f(f(c)),f(f(f(f(X0)))))
| f(f(f(c))) = f(f(f(f(X0))))
| f(f(c)) = f(f(f(f(X0))))
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f404,f620]) ).
fof(f4938,plain,
( ~ sQ73_spl
| ~ sQ57_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f4932,f4465,f396,f619]) ).
fof(f4942,plain,
! [X0] :
( ~ sQ294_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f4333,f6]) ).
fof(f4943,plain,
! [X0] :
( ~ sQ295_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),c) ),
inference(duplicate_literals_removal,[status(thm)],[f4337]) ).
fof(f4944,plain,
! [X0] :
( ~ sQ295_spl
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f4943,f15]) ).
fof(f4948,plain,
( sQ95_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1076,f971,f923]) ).
fof(f4949,plain,
( ~ sQ50_spl
| ~ sQ274_spl
| ~ r(c,f(f(f(f(c)))))
| r(c,f(f(f(c))))
| c = f(f(f(c)))
| f(f(f(f(c)))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f4041,f370]) ).
fof(f4952,plain,
( ~ sQ50_spl
| ~ sQ274_spl
| ~ sQ103_spl
| sQ51_spl
| sQ49_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f4949,f903,f366,f372,f951,f4040,f369]) ).
fof(f4956,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ25_spl
| ~ r(c,f(f(f(f(X0)))))
| r(f(f(c)),f(f(f(c))))
| f(f(c)) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f717,f370]) ).
fof(f4962,plain,
( ~ sQ50_spl
| ~ sQ25_spl
| sQ43_spl
| sQ41_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f4956,f2422,f338,f344,f164,f369]) ).
fof(f4968,plain,
! [X0,X1] :
( ~ sQ250_spl
| r(f(f(f(f(X1)))),X0)
| r(c,X0)
| f(f(f(f(X1)))) = X0
| c = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f4456,f11]) ).
fof(f4969,plain,
! [X0,X1] :
( ~ sQ240_spl
| r(f(f(f(f(X1)))),X0)
| r(c,X0)
| f(f(f(f(X1)))) = X0
| c = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f4548,f11]) ).
fof(f4970,plain,
( ~ sQ57_spl
| ~ sQ239_spl
| sQ58_spl
| sQ49_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f4533,f3405,f366,f400,f2108,f396]) ).
fof(f4971,definition,
! [X0] :
( sQ317_spl
<=> ( f(f(f(f(X0)))) = c
| ~ r(f(c),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f4972,plain,
! [X0] :
( ~ sQ317_spl
| f(f(f(f(X0)))) = c
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f4971]) ).
fof(f4975,definition,
! [X0] :
( sQ318_spl
<=> ( f(f(f(f(X0)))) = c
| ~ r(f(f(f(f(X0)))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f4976,plain,
! [X0] :
( ~ sQ318_spl
| f(f(f(f(X0)))) = c
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(component_clause,[status(thm)],[f4975]) ).
fof(f4981,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ250_spl
| ~ r(f(f(f(f(X0)))),f(c))
| r(c,f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| c = f(f(c)) ),
inference(resolution,[status(thm)],[f4968,f151]) ).
fof(f4983,definition,
! [X0] :
( sQ319_spl
<=> ( ~ r(c,f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(f(f(c))) ) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f4984,plain,
! [X0] :
( ~ sQ319_spl
| ~ r(c,f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(f(f(c))) ),
inference(component_clause,[status(thm)],[f4983]) ).
fof(f4987,plain,
( ~ sQ21_spl
| ~ sQ250_spl
| sQ24_spl
| sQ302_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f4981,f154,f4517,f160,f2422,f150]) ).
fof(f4989,plain,
( ~ sQ50_spl
| ~ sQ171_spl
| ~ r(c,f(f(f(f(f(c))))))
| r(f(f(c)),f(f(f(c))))
| f(f(f(f(f(c))))) = f(f(f(c)))
| f(f(c)) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f1526,f370]) ).
fof(f4992,plain,
( ~ sQ50_spl
| ~ sQ171_spl
| ~ sQ150_spl
| sQ43_spl
| sQ136_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f4989,f338,f1355,f344,f1403,f1525,f369]) ).
fof(f4995,plain,
! [X0] :
( ~ sQ283_spl
| ~ r(f(c),f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4220,f6]) ).
fof(f4996,plain,
! [X0] :
( ~ sQ288_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(duplicate_literals_removal,[status(thm)],[f4269]) ).
fof(f4997,plain,
! [X0] :
( ~ sQ288_spl
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4996,f15]) ).
fof(f5000,plain,
! [X0] :
( ~ sQ289_spl
| ~ sQ37_spl
| ~ sQ34_spl
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4711,f15]) ).
fof(f5001,plain,
( ~ sQ57_spl
| ~ sQ34_spl
| ~ sQ299_spl
| ~ sQ37_spl
| sQ56_spl
| sQ45_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f4487,f1182,f352,f392,f232,f4465,f214,f396]) ).
fof(f5002,plain,
( ~ sQ52_spl
| ~ sQ34_spl
| ~ sQ299_spl
| ~ sQ37_spl
| sQ56_spl
| sQ45_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f4490,f1206,f352,f392,f232,f4465,f214,f376]) ).
fof(f5003,definition,
! [X0] :
( sQ320_spl
<=> ( f(f(f(f(X0)))) = f(c)
| ~ r(f(c),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f5004,plain,
! [X0] :
( ~ sQ320_spl
| f(f(f(f(X0)))) = f(c)
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f5003]) ).
fof(f5007,definition,
! [X0] :
( sQ321_spl
<=> ( f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f5008,plain,
! [X0] :
( ~ sQ321_spl
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(component_clause,[status(thm)],[f5007]) ).
fof(f5022,plain,
! [X0] :
( ~ sQ319_spl
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f4984,f133]) ).
fof(f5023,plain,
! [X0] :
( ~ sQ294_spl
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f4942,f15]) ).
fof(f5025,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ240_spl
| ~ r(f(f(f(f(X0)))),f(c))
| r(c,f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| c = f(f(c)) ),
inference(resolution,[status(thm)],[f4969,f151]) ).
fof(f5028,plain,
( ~ sQ21_spl
| ~ sQ240_spl
| sQ24_spl
| sQ302_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f5025,f154,f4517,f160,f2112,f150]) ).
fof(f5058,plain,
! [X0] :
( ~ sQ296_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0))))) ),
inference(duplicate_literals_removal,[status(thm)],[f4415]) ).
fof(f5059,plain,
! [X0] :
( ~ sQ296_spl
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5058,f133]) ).
fof(f5060,plain,
! [X0] :
( ~ sQ283_spl
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f4995,f15]) ).
fof(f5112,plain,
! [X0,X1] :
( ~ sQ319_spl
| r(f(f(f(f(X0)))),X1)
| r(c,X1)
| f(f(f(f(X0)))) = X1
| c = X1
| c = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f5022,f10]) ).
fof(f5114,plain,
! [X0,X1] :
( ~ sQ319_spl
| r(f(f(f(f(X1)))),X0)
| r(c,X0)
| f(f(f(f(X1)))) = X0
| c = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f5112,f11]) ).
fof(f5115,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ319_spl
| ~ r(f(f(f(f(X0)))),f(c))
| r(c,f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| c = f(f(c)) ),
inference(resolution,[status(thm)],[f5114,f151]) ).
fof(f5117,plain,
( ~ sQ21_spl
| ~ sQ319_spl
| sQ24_spl
| sQ302_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f5115,f154,f4517,f160,f4983,f150]) ).
fof(f5119,plain,
( ~ sQ57_spl
| ~ sQ302_spl
| sQ56_spl
| sQ45_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f4645,f1182,f352,f392,f4517,f396]) ).
fof(f5121,plain,
( ~ sQ26_spl
| ~ sQ302_spl
| sQ27_spl
| sQ18_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f4648,f5003,f140,f172,f4517,f168]) ).
fof(f5124,plain,
! [X0] :
( ~ sQ321_spl
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f5008,f13]) ).
fof(f5125,plain,
! [X0] :
( ~ sQ320_spl
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5004,f13]) ).
fof(f5169,definition,
! [X0] :
( sQ322_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f5170,plain,
! [X0] :
( ~ sQ322_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c) ),
inference(component_clause,[status(thm)],[f5169]) ).
fof(f5176,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ25_spl
| ~ r(f(f(f(f(X0)))),c)
| r(f(f(c)),f(f(f(c))))
| f(f(c)) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f717,f377]) ).
fof(f5180,plain,
( ~ sQ52_spl
| ~ sQ25_spl
| sQ43_spl
| sQ41_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f5176,f2418,f338,f344,f164,f376]) ).
fof(f5239,plain,
! [X0,X1] :
( ~ sQ296_spl
| r(f(f(f(f(X0)))),X1)
| r(c,X1)
| f(f(f(f(X0)))) = X1
| c = X1
| c = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f5059,f10]) ).
fof(f5241,plain,
! [X0,X1] :
( ~ sQ296_spl
| r(f(f(f(f(X1)))),X0)
| r(c,X0)
| f(f(f(f(X1)))) = X0
| c = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f5239,f11]) ).
fof(f5242,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ296_spl
| ~ r(f(f(f(f(X0)))),c)
| r(c,f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f5241,f377]) ).
fof(f5243,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ296_spl
| ~ r(f(f(f(f(X0)))),f(c))
| r(c,f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| c = f(f(c)) ),
inference(resolution,[status(thm)],[f5241,f151]) ).
fof(f5245,plain,
( ~ sQ52_spl
| ~ sQ296_spl
| sQ51_spl
| sQ322_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f5242,f366,f5169,f372,f4414,f376]) ).
fof(f5246,plain,
( ~ sQ21_spl
| ~ sQ296_spl
| sQ24_spl
| sQ302_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f5243,f154,f4517,f160,f4414,f150]) ).
fof(f5248,plain,
! [X0] :
( ~ sQ322_spl
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f5170,f133]) ).
fof(f5250,plain,
( ~ sQ112_spl
| ~ sQ239_spl ),
inference(contradiction_clause,[status(thm)],[f4529]) ).
fof(f5251,plain,
( ~ sQ103_spl
| ~ sQ250_spl ),
inference(contradiction_clause,[status(thm)],[f4453]) ).
fof(f5252,plain,
! [X0,X1] :
( ~ sQ19_spl
| r(f(f(c)),X1)
| r(f(f(f(X0))),X1)
| f(f(c)) = X1
| f(f(f(X0))) = X1
| ~ r(f(c),f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f4179,f15]) ).
fof(f5285,plain,
( ~ sQ244_spl
| ~ sQ23_spl
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(f(f(c)))))) = f(f(c))
| f(f(f(f(c)))) = f(f(c))
| ~ r(c,f(f(f(f(f(f(c))))))) ),
inference(resolution,[status(thm)],[f158,f2223]) ).
fof(f5287,plain,
( ~ sQ242_spl
| ~ sQ23_spl
| r(f(c),f(f(c)))
| f(c) = f(f(c))
| f(f(f(f(f(c))))) = f(f(c))
| ~ r(c,f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f158,f2187]) ).
fof(f5288,plain,
( ~ sQ173_spl
| ~ sQ23_spl
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(f(c))))) = f(f(c))
| f(f(f(f(c)))) = f(f(c))
| ~ r(c,f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f158,f1598]) ).
fof(f5289,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ23_spl
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c))))
| ~ r(c,f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[f158,f2267]) ).
fof(f5290,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ23_spl
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(c)))
| ~ r(c,f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[f158,f1962]) ).
fof(f5291,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ23_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(c))) = f(f(c))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(c))
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f158,f1151]) ).
fof(f5300,plain,
( ~ sQ244_spl
| ~ sQ23_spl
| sQ108_spl
| sQ187_spl
| sQ93_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f5285,f1739,f917,f1705,f971,f157,f2222]) ).
fof(f5302,plain,
( ~ sQ242_spl
| ~ sQ23_spl
| sQ20_spl
| sQ18_spl
| sQ140_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f5287,f1403,f1369,f140,f146,f157,f2186]) ).
fof(f5303,plain,
( ~ sQ173_spl
| ~ sQ23_spl
| sQ108_spl
| sQ140_spl
| sQ93_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f5288,f1403,f917,f1369,f971,f157,f1597]) ).
fof(f5304,definition,
! [X0] :
( sQ323_spl
<=> ( f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c))))
| ~ r(c,f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f5307,plain,
( ~ sQ92_spl
| ~ sQ23_spl
| sQ108_spl
| sQ93_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f5289,f5304,f917,f971,f157,f913]) ).
fof(f5308,definition,
! [X0] :
( sQ324_spl
<=> ( f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(c)))
| ~ r(c,f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f5311,plain,
( ~ sQ96_spl
| ~ sQ23_spl
| sQ108_spl
| sQ93_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f5290,f5308,f917,f971,f157,f927]) ).
fof(f5312,plain,
( ~ sQ48_spl
| ~ sQ23_spl
| sQ54_spl
| sQ41_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f5291,f4272,f338,f384,f157,f362]) ).
fof(f5315,definition,
! [X0] :
( sQ325_spl
<=> ( f(f(f(X0))) = f(f(c))
| ~ r(c,f(f(f(X0))))
| ~ r(c,f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f5316,plain,
! [X0] :
( ~ sQ325_spl
| f(f(f(X0))) = f(f(c))
| ~ r(c,f(f(f(X0))))
| ~ r(c,f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f5315]) ).
fof(f5320,plain,
! [X0] :
( ~ sQ278_spl
| ~ r(c,f(f(f(X0))))
| ~ r(f(c),f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f4192,f15]) ).
fof(f5325,plain,
( ~ sQ221_spl
| ~ sQ322_spl
| r(f(f(c)),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f5248,f1880]) ).
fof(f5328,plain,
( ~ sQ171_spl
| ~ sQ322_spl
| r(f(f(c)),c)
| f(f(f(f(f(c))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f5248,f1526]) ).
fof(f5333,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ322_spl
| r(f(f(f(c))),c)
| f(f(f(c))) = c
| f(f(f(f(X0)))) = c
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f5248,f1151]) ).
fof(f5334,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ322_spl
| r(f(f(c)),c)
| f(f(c)) = c
| f(f(f(f(X0)))) = c
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f5248,f5252]) ).
fof(f5340,plain,
( ~ sQ221_spl
| ~ sQ322_spl
| sQ29_spl
| sQ195_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f5325,f154,f1733,f180,f5169,f1879]) ).
fof(f5343,plain,
( ~ sQ171_spl
| ~ sQ322_spl
| sQ29_spl
| sQ148_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f5328,f154,f1397,f180,f5169,f1525]) ).
fof(f5348,plain,
( ~ sQ48_spl
| ~ sQ322_spl
| sQ58_spl
| sQ49_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f5333,f4975,f366,f400,f5169,f362]) ).
fof(f5349,plain,
( ~ sQ19_spl
| ~ sQ322_spl
| sQ29_spl
| sQ22_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f5334,f4971,f154,f180,f5169,f143]) ).
fof(f5354,plain,
! [X0] :
( ~ sQ318_spl
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4976,f11]) ).
fof(f5355,plain,
! [X0] :
( ~ sQ317_spl
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f4972,f11]) ).
fof(f5356,plain,
( ~ sQ221_spl
| ~ sQ321_spl
| r(f(f(c)),f(c))
| f(f(f(f(f(f(c)))))) = f(c)
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f5124,f1880]) ).
fof(f5367,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ321_spl
| r(f(f(c)),f(c))
| f(f(c)) = f(c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f5124,f717]) ).
fof(f5370,plain,
( ~ sQ221_spl
| ~ sQ321_spl
| sQ27_spl
| sQ191_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f5356,f140,f1719,f172,f5007,f1879]) ).
fof(f5384,plain,
( ~ sQ25_spl
| ~ sQ321_spl
| sQ27_spl
| sQ18_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f5367,f1206,f140,f172,f5007,f164]) ).
fof(f5392,plain,
( ~ sQ244_spl
| ~ sQ25_spl
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(f(f(c)))))) = f(f(c))
| f(f(f(f(c)))) = f(f(c))
| ~ r(f(f(f(f(f(f(c)))))),c) ),
inference(resolution,[status(thm)],[f165,f2223]) ).
fof(f5394,plain,
( ~ sQ242_spl
| ~ sQ25_spl
| r(f(c),f(f(c)))
| f(c) = f(f(c))
| f(f(f(f(f(c))))) = f(f(c))
| ~ r(f(f(f(f(f(c))))),c) ),
inference(resolution,[status(thm)],[f165,f2187]) ).
fof(f5395,plain,
( ~ sQ173_spl
| ~ sQ25_spl
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(f(c))))) = f(f(c))
| f(f(f(f(c)))) = f(f(c))
| ~ r(f(f(f(f(f(c))))),c) ),
inference(resolution,[status(thm)],[f165,f1598]) ).
fof(f5396,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ25_spl
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),c) ),
inference(resolution,[status(thm)],[f165,f2267]) ).
fof(f5397,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ25_spl
| r(f(f(f(f(c)))),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(c)))
| ~ r(f(f(f(f(f(X0))))),c) ),
inference(resolution,[status(thm)],[f165,f1962]) ).
fof(f5409,plain,
( ~ sQ244_spl
| ~ sQ25_spl
| sQ108_spl
| sQ187_spl
| sQ93_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f5392,f1791,f917,f1705,f971,f164,f2222]) ).
fof(f5411,plain,
( ~ sQ242_spl
| ~ sQ25_spl
| sQ20_spl
| sQ18_spl
| sQ140_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f5394,f1447,f1369,f140,f146,f164,f2186]) ).
fof(f5412,plain,
( ~ sQ173_spl
| ~ sQ25_spl
| sQ108_spl
| sQ140_spl
| sQ93_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f5395,f1447,f917,f1369,f971,f164,f1597]) ).
fof(f5413,definition,
! [X0] :
( sQ327_spl
<=> ( f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f5416,plain,
( ~ sQ92_spl
| ~ sQ25_spl
| sQ108_spl
| sQ93_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f5396,f5413,f917,f971,f164,f913]) ).
fof(f5417,definition,
! [X0] :
( sQ328_spl
<=> ( f(f(f(f(f(X0))))) = f(f(c))
| ~ r(f(f(f(f(f(X0))))),f(f(c)))
| ~ r(f(f(f(f(f(X0))))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f5420,plain,
( ~ sQ96_spl
| ~ sQ25_spl
| sQ108_spl
| sQ93_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f5397,f5417,f917,f971,f164,f927]) ).
fof(f5460,plain,
( ~ sQ62_spl
| ~ sQ19_spl
| r(c,f(f(c)))
| f(f(f(c))) = f(f(c))
| c = f(f(c))
| ~ r(f(c),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f144,f434]) ).
fof(f5471,plain,
! [X0] :
( ~ sQ19_spl
| r(f(f(c)),f(f(c)))
| f(f(c)) = f(f(c))
| f(f(f(X0))) = f(f(c))
| ~ r(f(c),f(f(f(X0))))
| ~ r(f(c),f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f144,f5252]) ).
fof(f5477,plain,
( ~ sQ62_spl
| ~ sQ19_spl
| sQ24_spl
| sQ41_spl
| sQ22_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f5460,f358,f154,f338,f160,f143,f433]) ).
fof(f5488,plain,
( ~ sQ19_spl
| sQ32_spl
| sQ30_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f5471,f4199,f190,f196,f143]) ).
fof(f5492,plain,
! [X0] :
( ~ sQ280_spl
| f(f(f(X0))) = f(f(c))
| ~ r(f(c),f(f(f(X0)))) ),
inference(duplicate_literals_removal,[status(thm)],[f4200]) ).
fof(f5493,plain,
! [X0] :
( ~ sQ280_spl
| ~ r(f(c),f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5492,f15]) ).
fof(f5494,plain,
( ~ sQ47_spl
| ~ sQ280_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f359,f5493]) ).
fof(f5498,plain,
( ~ sQ47_spl
| ~ sQ280_spl ),
inference(contradiction_clause,[status(thm)],[f5494]) ).
fof(f5500,plain,
! [X0,X1] :
( ~ sQ320_spl
| r(f(f(f(f(X0)))),X1)
| r(f(c),X1)
| f(f(f(f(X0)))) = X1
| f(c) = X1
| f(c) = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f5125,f10]) ).
fof(f5503,plain,
! [X0,X1] :
( ~ sQ320_spl
| r(f(f(f(f(X1)))),X0)
| r(f(c),X0)
| f(f(f(f(X1)))) = X0
| f(c) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f5500,f13]) ).
fof(f5509,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ320_spl
| ~ r(f(f(f(f(X0)))),c)
| r(f(c),f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| f(c) = f(f(c)) ),
inference(resolution,[status(thm)],[f5503,f165]) ).
fof(f5510,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ320_spl
| ~ r(c,f(f(f(f(X0)))))
| r(f(c),f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| f(c) = f(f(c)) ),
inference(resolution,[status(thm)],[f5503,f158]) ).
fof(f5512,plain,
( ~ sQ25_spl
| ~ sQ320_spl
| sQ20_spl
| sQ239_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f5509,f140,f2108,f146,f5003,f164]) ).
fof(f5513,plain,
( ~ sQ23_spl
| ~ sQ320_spl
| sQ20_spl
| sQ240_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f5510,f140,f2112,f146,f5003,f157]) ).
fof(f5537,plain,
( ~ sQ221_spl
| ~ sQ288_spl
| r(f(f(c)),f(c))
| f(f(f(f(f(f(c)))))) = f(c)
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f4997,f1880]) ).
fof(f5538,plain,
( ~ sQ244_spl
| ~ sQ288_spl
| r(f(f(f(f(c)))),f(c))
| f(f(f(f(f(f(c)))))) = f(c)
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f4997,f2223]) ).
fof(f5541,plain,
( ~ sQ173_spl
| ~ sQ288_spl
| r(f(f(f(f(c)))),f(c))
| f(f(f(f(f(c))))) = f(c)
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f4997,f1598]) ).
fof(f5547,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ288_spl
| r(f(f(c)),f(c))
| f(f(c)) = f(c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f4997,f717]) ).
fof(f5548,plain,
! [X0,X1] :
( ~ sQ288_spl
| r(f(c),X1)
| r(f(f(f(f(X0)))),X1)
| f(c) = X1
| f(f(f(f(X0)))) = X1
| f(f(f(f(X0)))) = f(c) ),
inference(resolution,[status(thm)],[f4997,f10]) ).
fof(f5551,plain,
( ~ sQ221_spl
| ~ sQ288_spl
| sQ27_spl
| sQ191_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f5537,f140,f1719,f172,f4268,f1879]) ).
fof(f5552,plain,
( ~ sQ244_spl
| ~ sQ288_spl
| sQ110_spl
| sQ191_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f5538,f931,f1719,f979,f4268,f2222]) ).
fof(f5555,plain,
( ~ sQ173_spl
| ~ sQ288_spl
| sQ110_spl
| sQ144_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f5541,f931,f1383,f979,f4268,f1597]) ).
fof(f5561,plain,
( ~ sQ25_spl
| ~ sQ288_spl
| sQ27_spl
| sQ18_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f5547,f1206,f140,f172,f4268,f164]) ).
fof(f5562,plain,
! [X0,X1] :
( ~ sQ288_spl
| r(f(c),X1)
| r(f(f(f(f(X0)))),X1)
| f(c) = X1
| f(f(f(f(X0)))) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f5548,f13]) ).
fof(f5564,plain,
! [X0] :
( ~ sQ288_spl
| r(f(c),f(c))
| f(c) = f(c)
| f(f(f(f(X0)))) = f(c) ),
inference(resolution,[status(thm)],[f5562,f4997]) ).
fof(f5566,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ288_spl
| ~ r(f(f(f(f(X0)))),c)
| r(f(c),f(f(c)))
| f(c) = f(f(c))
| f(f(f(f(X0)))) = f(f(c)) ),
inference(resolution,[status(thm)],[f5562,f165]) ).
fof(f5567,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ288_spl
| ~ r(c,f(f(f(f(X0)))))
| r(f(c),f(f(c)))
| f(c) = f(f(c))
| f(f(f(f(X0)))) = f(f(c)) ),
inference(resolution,[status(thm)],[f5562,f158]) ).
fof(f5568,plain,
( ~ sQ288_spl
| sQ12_spl
| sQ10_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f5564,f1178,f76,f82,f4268]) ).
fof(f5570,plain,
( ~ sQ25_spl
| ~ sQ288_spl
| sQ20_spl
| sQ18_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f5566,f2108,f140,f146,f4268,f164]) ).
fof(f5571,plain,
( ~ sQ23_spl
| ~ sQ288_spl
| sQ20_spl
| sQ18_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f5567,f2112,f140,f146,f4268,f157]) ).
fof(f5605,plain,
( ~ sQ99_spl
| ~ sQ317_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f938,f5355]) ).
fof(f5606,plain,
( ~ sQ99_spl
| ~ sQ317_spl ),
inference(contradiction_clause,[status(thm)],[f5605]) ).
fof(f5607,plain,
( sQ99_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f1050,f979,f937]) ).
fof(f5617,plain,
( ~ sQ110_spl
| ~ sQ288_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f980,f4997]) ).
fof(f5618,plain,
( ~ sQ110_spl
| ~ sQ288_spl ),
inference(contradiction_clause,[status(thm)],[f5617]) ).
fof(f5620,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ38_spl
| ~ r(f(f(f(X0))),c)
| r(f(c),f(f(f(X0))))
| f(f(c)) = f(f(f(X0)))
| f(c) = f(f(f(X0))) ),
inference(resolution,[status(thm)],[f244,f219]) ).
fof(f5623,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ38_spl
| ~ r(f(f(f(X0))),c)
| r(f(c),f(f(f(X0))))
| f(f(c)) = f(f(f(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5620,f13]) ).
fof(f5625,plain,
( ~ sQ25_spl
| ~ sQ121_spl
| ~ r(f(f(f(f(c)))),c)
| r(f(c),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(c) = f(f(c)) ),
inference(resolution,[status(thm)],[f1052,f165]) ).
fof(f5626,plain,
( ~ sQ23_spl
| ~ sQ121_spl
| ~ r(c,f(f(f(f(c)))))
| r(f(c),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(c) = f(f(c)) ),
inference(resolution,[status(thm)],[f1052,f158]) ).
fof(f5627,plain,
( ~ sQ25_spl
| ~ sQ121_spl
| ~ sQ112_spl
| sQ20_spl
| sQ93_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f5625,f140,f917,f146,f987,f1051,f164]) ).
fof(f5628,plain,
( ~ sQ23_spl
| ~ sQ121_spl
| ~ sQ103_spl
| sQ20_spl
| sQ93_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f5626,f140,f917,f146,f951,f1051,f157]) ).
fof(f5629,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ38_spl
| ~ r(f(f(f(X0))),c)
| r(f(c),f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5623,f15]) ).
fof(f5632,plain,
( ~ sQ23_spl
| ~ sQ316_spl
| ~ r(c,f(f(f(f(f(f(c)))))))
| r(c,f(f(c)))
| c = f(f(c))
| f(f(f(f(f(f(c)))))) = f(f(c)) ),
inference(resolution,[status(thm)],[f4929,f158]) ).
fof(f5634,plain,
( ~ sQ23_spl
| ~ sQ316_spl
| ~ sQ197_spl
| sQ24_spl
| sQ22_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f5632,f1705,f154,f160,f1739,f4928,f157]) ).
fof(f5651,plain,
( ~ sQ173_spl
| ~ sQ318_spl
| r(f(f(f(f(c)))),f(c))
| f(f(f(f(f(c))))) = f(c)
| f(f(f(f(c)))) = f(c) ),
inference(resolution,[status(thm)],[f5354,f1598]) ).
fof(f5655,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ318_spl
| r(f(f(c)),f(c))
| f(f(c)) = f(c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f5354,f717]) ).
fof(f5660,plain,
( ~ sQ173_spl
| ~ sQ318_spl
| sQ110_spl
| sQ144_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f5651,f931,f1383,f979,f4975,f1597]) ).
fof(f5664,plain,
( ~ sQ25_spl
| ~ sQ318_spl
| sQ27_spl
| sQ18_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f5655,f1206,f140,f172,f4975,f164]) ).
fof(f5666,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ128_spl
| ~ r(f(f(f(f(X0)))),c)
| r(c,f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| c = f(f(c)) ),
inference(resolution,[status(thm)],[f2630,f165]) ).
fof(f5667,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ128_spl
| ~ r(c,f(f(f(f(X0)))))
| r(c,f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| c = f(f(c)) ),
inference(resolution,[status(thm)],[f2630,f158]) ).
fof(f5668,plain,
( ~ sQ25_spl
| ~ sQ128_spl
| sQ24_spl
| sQ239_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f5666,f154,f2108,f160,f1182,f164]) ).
fof(f5669,plain,
( ~ sQ23_spl
| ~ sQ128_spl
| sQ24_spl
| sQ240_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f5667,f154,f2112,f160,f1182,f157]) ).
fof(f5678,plain,
! [X0] :
( sQ197_spl
| r(f(f(f(f(f(f(c)))))),X0)
| r(c,X0)
| f(f(f(f(f(f(c)))))) = X0
| c = X0
| c = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1741,f10]) ).
fof(f5680,plain,
( sQ197_spl
| sQ316_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f5678,f1733,f4928,f1739]) ).
fof(f5681,plain,
( ~ sQ25_spl
| ~ sQ108_spl
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f972,f165]) ).
fof(f5682,plain,
( ~ sQ23_spl
| ~ sQ108_spl
| ~ r(c,f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f972,f158]) ).
fof(f5683,plain,
( ~ sQ25_spl
| ~ sQ108_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f5681,f987,f971,f164]) ).
fof(f5684,plain,
( ~ sQ23_spl
| ~ sQ108_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f5682,f951,f971,f157]) ).
fof(f5713,definition,
! [X0] :
( sQ329_spl
<=> ( ~ r(c,f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(c,f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f5714,plain,
! [X0] :
( ~ sQ329_spl
| ~ r(c,f(f(f(f(X0)))))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(c,f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f5713]) ).
fof(f5717,plain,
! [X0] :
( ~ sQ329_spl
| f(f(f(f(X0)))) = f(f(c))
| ~ r(c,f(f(f(f(X0))))) ),
inference(duplicate_literals_removal,[status(thm)],[f5714]) ).
fof(f5718,plain,
! [X0] :
( ~ sQ329_spl
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5717,f15]) ).
fof(f5724,plain,
! [X0,X1] :
( ~ sQ55_spl
| r(f(f(f(f(X0)))),X1)
| r(f(f(f(c))),X1)
| f(f(f(f(X0)))) = X1
| f(f(f(c))) = X1
| f(f(f(c))) = f(f(f(f(X0))))
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f405,f10]) ).
fof(f5727,definition,
! [X0] :
( sQ330_spl
<=> ( r(f(f(c)),f(f(f(f(X0)))))
| f(f(f(c))) = f(f(f(f(X0))))
| f(f(c)) = f(f(f(f(X0))))
| ~ r(f(c),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f5728,plain,
! [X0] :
( ~ sQ330_spl
| r(f(f(c)),f(f(f(f(X0)))))
| f(f(f(c))) = f(f(f(f(X0))))
| f(f(c)) = f(f(f(f(X0))))
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f5727]) ).
fof(f5732,plain,
! [X0,X1] :
( ~ sQ55_spl
| r(f(f(f(f(X0)))),X1)
| r(f(f(f(c))),X1)
| f(f(f(f(X0)))) = X1
| f(f(f(c))) = X1
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5724,f133]) ).
fof(f5733,plain,
! [X0] :
( ~ sQ330_spl
| r(f(f(c)),f(f(f(f(X0)))))
| f(f(f(c))) = f(f(f(f(X0))))
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5728,f15]) ).
fof(f5734,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ55_spl
| ~ r(f(f(f(f(X0)))),c)
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| f(f(f(c))) = f(f(c))
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f5732,f165]) ).
fof(f5735,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| ~ r(c,f(f(f(f(X0)))))
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| f(f(f(c))) = f(f(c))
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f5732,f158]) ).
fof(f5736,plain,
( ~ sQ25_spl
| ~ sQ55_spl
| sQ54_spl
| sQ41_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f5734,f4187,f338,f384,f388,f164]) ).
fof(f5737,plain,
( ~ sQ23_spl
| ~ sQ55_spl
| sQ54_spl
| sQ41_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f5735,f4214,f338,f384,f388,f157]) ).
fof(f5738,plain,
! [X0] :
( ~ sQ277_spl
| ~ sQ35_spl
| ~ sQ38_spl
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f4709,f5629]) ).
fof(f5739,plain,
( ~ sQ123_spl
| ~ sQ295_spl
| r(f(f(f(c))),c)
| f(f(f(f(c)))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f4944,f1121]) ).
fof(f5740,plain,
( ~ sQ221_spl
| ~ sQ295_spl
| r(f(f(c)),c)
| f(f(f(f(f(f(c)))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f4944,f1880]) ).
fof(f5741,plain,
( ~ sQ171_spl
| ~ sQ295_spl
| r(f(f(c)),c)
| f(f(f(f(f(c))))) = c
| f(f(c)) = c ),
inference(resolution,[status(thm)],[f4944,f1526]) ).
fof(f5743,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ295_spl
| r(f(f(f(c))),c)
| f(f(f(f(X0)))) = c
| f(f(f(c))) = c
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f4944,f5732]) ).
fof(f5745,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ295_spl
| r(f(f(f(c))),c)
| f(f(f(c))) = c
| f(f(f(f(X0)))) = c
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f4944,f1151]) ).
fof(f5750,plain,
( ~ sQ123_spl
| ~ sQ295_spl
| sQ58_spl
| sQ101_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f5739,f366,f945,f400,f4336,f1120]) ).
fof(f5751,plain,
( ~ sQ221_spl
| ~ sQ295_spl
| sQ29_spl
| sQ195_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f5740,f154,f1733,f180,f4336,f1879]) ).
fof(f5752,plain,
( ~ sQ171_spl
| ~ sQ295_spl
| sQ29_spl
| sQ148_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f5741,f154,f1397,f180,f4336,f1525]) ).
fof(f5754,plain,
( ~ sQ55_spl
| ~ sQ295_spl
| sQ58_spl
| sQ49_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f5743,f4971,f366,f400,f4336,f388]) ).
fof(f5756,plain,
( ~ sQ48_spl
| ~ sQ295_spl
| sQ58_spl
| sQ49_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f5745,f4975,f366,f400,f4336,f362]) ).
fof(f5762,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ46_spl
| r(f(f(f(f(c)))),f(f(f(c))))
| f(f(f(f(c)))) = f(f(f(c)))
| f(f(f(f(f(X0))))) = f(f(f(c)))
| ~ r(f(f(f(f(f(X0))))),f(f(c)))
| ~ r(f(c),f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[f356,f1962]) ).
fof(f5766,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ46_spl
| r(f(f(c)),f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| f(f(c)) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f356,f749]) ).
fof(f5767,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ46_spl
| r(f(f(c)),f(f(f(c))))
| f(f(c)) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f356,f717]) ).
fof(f5773,definition,
! [X0] :
( sQ331_spl
<=> ( f(f(f(f(f(X0))))) = f(f(f(c)))
| ~ r(f(f(f(f(f(X0))))),f(f(c)))
| ~ r(f(c),f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f5776,plain,
( ~ sQ96_spl
| ~ sQ46_spl
| sQ106_spl
| sQ89_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f5762,f5773,f903,f963,f355,f927]) ).
fof(f5781,definition,
! [X0] :
( sQ333_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(c),f(f(f(f(X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f5782,plain,
! [X0] :
( ~ sQ333_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(component_clause,[status(thm)],[f5781]) ).
fof(f5789,plain,
( ~ sQ28_spl
| ~ sQ46_spl
| sQ43_spl
| sQ41_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f5766,f4419,f338,f344,f355,f176]) ).
fof(f5790,plain,
( ~ sQ25_spl
| ~ sQ46_spl
| sQ43_spl
| sQ41_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f5767,f4446,f338,f344,f355,f164]) ).
fof(f5794,plain,
( ~ sQ21_spl
| ~ sQ54_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4391,f392,f384,f150]) ).
fof(f5795,plain,
( sQ43_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f864,f384,f344]) ).
fof(f5797,plain,
( ~ sQ19_spl
| ~ sQ54_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f4392,f358,f384,f143]) ).
fof(f5799,plain,
( ~ sQ150_spl
| ~ sQ294_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1404,f5023]) ).
fof(f5800,plain,
( ~ sQ150_spl
| ~ sQ294_spl ),
inference(contradiction_clause,[status(thm)],[f5799]) ).
fof(f5812,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ38_spl
| ~ r(f(f(f(X0))),c)
| r(f(c),f(f(f(X0))))
| f(f(c)) = f(f(f(X0)))
| f(c) = f(f(f(X0))) ),
inference(resolution,[status(thm)],[f244,f219]) ).
fof(f5814,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ38_spl
| ~ r(f(f(f(X0))),c)
| r(f(c),f(f(f(X0))))
| f(f(c)) = f(f(f(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5812,f13]) ).
fof(f5816,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ38_spl
| ~ r(f(f(f(X0))),c)
| r(f(c),f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5814,f15]) ).
fof(f5824,plain,
! [X0] :
( ~ sQ333_spl
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5782,f133]) ).
fof(f5831,plain,
( ~ sQ46_spl
| ~ sQ122_spl
| ~ r(f(c),f(f(f(f(c)))))
| r(f(f(c)),f(f(f(c))))
| f(f(f(f(c)))) = f(f(f(c)))
| f(f(c)) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f1081,f356]) ).
fof(f5833,plain,
( ~ sQ23_spl
| ~ sQ122_spl
| ~ r(c,f(f(f(f(c)))))
| r(f(f(c)),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(c)) = f(f(c)) ),
inference(resolution,[status(thm)],[f1081,f158]) ).
fof(f5834,plain,
( ~ sQ46_spl
| ~ sQ122_spl
| ~ sQ99_spl
| sQ43_spl
| sQ89_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f5831,f338,f903,f344,f937,f1080,f355]) ).
fof(f5836,plain,
( ~ sQ23_spl
| ~ sQ122_spl
| ~ sQ103_spl
| sQ32_spl
| sQ93_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f5833,f190,f917,f196,f951,f1080,f157]) ).
fof(f5837,plain,
( ~ sQ46_spl
| ~ sQ316_spl
| ~ r(f(c),f(f(f(f(f(f(c)))))))
| r(c,f(f(f(c))))
| c = f(f(f(c)))
| f(f(f(f(f(f(c)))))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f4929,f356]) ).
fof(f5840,plain,
( ~ sQ46_spl
| ~ sQ316_spl
| ~ sQ193_spl
| sQ51_spl
| sQ49_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f5837,f1691,f366,f372,f1725,f4928,f355]) ).
fof(f5850,plain,
! [X0] :
( ~ sQ330_spl
| r(f(f(c)),f(f(f(f(X0)))))
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5733,f133]) ).
fof(f5851,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ330_spl
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f5850,f219]) ).
fof(f5853,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ330_spl
| ~ sQ38_spl
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f5851,f5816]) ).
fof(f5884,plain,
( ~ sQ221_spl
| ~ sQ48_spl
| r(f(f(c)),f(f(f(c))))
| f(f(f(f(f(f(c)))))) = f(f(f(c)))
| f(f(c)) = f(f(f(c)))
| ~ r(f(f(f(f(f(f(c)))))),f(c)) ),
inference(resolution,[status(thm)],[f363,f1880]) ).
fof(f5891,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ48_spl
| r(f(f(c)),f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| f(f(c)) = f(f(f(c)))
| ~ r(c,f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f363,f749]) ).
fof(f5892,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ48_spl
| r(f(f(c)),f(f(f(c))))
| f(f(c)) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f363,f717]) ).
fof(f5895,plain,
( ~ sQ221_spl
| ~ sQ48_spl
| sQ43_spl
| sQ183_spl
| sQ41_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f5884,f1783,f338,f1691,f344,f362,f1879]) ).
fof(f5901,definition,
! [X0] :
( sQ337_spl
<=> ( f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(c))
| ~ r(f(f(f(f(X0)))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f5902,plain,
! [X0] :
( ~ sQ337_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(c))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(component_clause,[status(thm)],[f5901]) ).
fof(f5905,plain,
( ~ sQ28_spl
| ~ sQ48_spl
| sQ43_spl
| sQ41_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f5891,f1147,f338,f344,f362,f176]) ).
fof(f5906,plain,
( ~ sQ25_spl
| ~ sQ48_spl
| sQ43_spl
| sQ41_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f5892,f1143,f338,f344,f362,f164]) ).
fof(f5957,plain,
( ~ sQ123_spl
| ~ sQ277_spl
| ~ sQ35_spl
| ~ sQ38_spl
| r(f(f(f(c))),c)
| f(f(f(f(c)))) = c
| f(f(f(c))) = c ),
inference(resolution,[status(thm)],[f5738,f1121]) ).
fof(f5960,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ277_spl
| ~ sQ35_spl
| ~ sQ38_spl
| r(f(f(f(c))),c)
| f(f(f(f(X0)))) = c
| f(f(f(c))) = c
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f5738,f5732]) ).
fof(f5961,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ277_spl
| ~ sQ35_spl
| ~ sQ38_spl
| r(f(f(f(c))),c)
| f(f(f(c))) = c
| f(f(f(f(X0)))) = c
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f5738,f1151]) ).
fof(f5968,plain,
( ~ sQ123_spl
| ~ sQ277_spl
| ~ sQ35_spl
| ~ sQ38_spl
| sQ58_spl
| sQ101_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f5957,f366,f945,f400,f243,f218,f4187,f1120]) ).
fof(f5971,plain,
( ~ sQ55_spl
| ~ sQ277_spl
| ~ sQ35_spl
| ~ sQ38_spl
| sQ58_spl
| sQ49_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f5960,f4971,f366,f400,f243,f218,f4187,f388]) ).
fof(f5972,plain,
( ~ sQ48_spl
| ~ sQ277_spl
| ~ sQ35_spl
| ~ sQ38_spl
| sQ58_spl
| sQ49_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f5961,f4975,f366,f400,f243,f218,f4187,f362]) ).
fof(f5981,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ35_spl
| ~ sQ330_spl
| ~ sQ38_spl
| r(f(f(f(c))),c)
| f(f(f(f(X0)))) = c
| f(f(f(c))) = c
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f5853,f5732]) ).
fof(f5982,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ35_spl
| ~ sQ330_spl
| ~ sQ38_spl
| r(f(f(f(c))),c)
| f(f(f(c))) = c
| f(f(f(f(X0)))) = c
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f5853,f1151]) ).
fof(f5992,plain,
( ~ sQ55_spl
| ~ sQ35_spl
| ~ sQ330_spl
| ~ sQ38_spl
| sQ58_spl
| sQ49_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f5981,f4971,f366,f400,f243,f5727,f218,f388]) ).
fof(f5993,plain,
( ~ sQ48_spl
| ~ sQ35_spl
| ~ sQ330_spl
| ~ sQ38_spl
| sQ58_spl
| sQ49_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f5982,f4975,f366,f400,f243,f5727,f218,f362]) ).
fof(f6005,plain,
( ~ sQ14_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f321,f34,f96]) ).
fof(f6007,plain,
! [X0] :
( ~ sQ337_spl
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(duplicate_literals_removal,[status(thm)],[f5902]) ).
fof(f6008,plain,
! [X0] :
( ~ sQ337_spl
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f6007,f133]) ).
fof(f6013,plain,
! [X0] :
( ~ sQ325_spl
| f(f(f(X0))) = f(f(c))
| ~ r(c,f(f(f(X0)))) ),
inference(duplicate_literals_removal,[status(thm)],[f5316]) ).
fof(f6014,plain,
! [X0] :
( ~ sQ325_spl
| ~ r(c,f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6013,f15]) ).
fof(f6018,plain,
! [X0] :
( ~ sQ311_spl
| ~ r(f(c),f(f(f(X0))))
| ~ r(f(f(f(X0))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f4838,f13]) ).
fof(f6022,plain,
! [X0] :
( ~ sQ291_spl
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),f(c)) ),
inference(duplicate_literals_removal,[status(thm)],[f4284]) ).
fof(f6023,plain,
! [X0] :
( ~ sQ291_spl
| ~ r(f(f(f(X0))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f6022,f15]) ).
fof(f6026,plain,
! [X0] :
( ~ sQ273_spl
| ~ r(f(f(f(f(X0)))),c)
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3982,f13]) ).
fof(f6031,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ71_spl
| ~ r(f(f(c)),f(f(f(f(X0)))))
| r(f(c),f(f(f(f(X0)))))
| f(f(f(c))) = f(f(f(f(X0))))
| f(c) = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f579,f406]) ).
fof(f6032,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ71_spl
| ~ r(f(f(c)),f(f(f(f(X0)))))
| r(f(c),f(f(f(f(X0)))))
| f(f(f(c))) = f(f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6031,f13]) ).
fof(f6043,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ71_spl
| ~ r(f(f(c)),f(f(f(f(X0)))))
| r(f(c),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6032,f133]) ).
fof(f6083,plain,
! [X0,X1] :
( ~ sQ325_spl
| r(f(f(f(X0))),X1)
| r(c,X1)
| f(f(f(X0))) = X1
| c = X1
| c = f(f(f(X0))) ),
inference(resolution,[status(thm)],[f6014,f10]) ).
fof(f6085,plain,
! [X0,X1] :
( ~ sQ325_spl
| r(f(f(f(X1))),X0)
| r(c,X0)
| f(f(f(X1))) = X0
| c = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f6083,f11]) ).
fof(f6086,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ325_spl
| ~ r(f(f(f(f(X0)))),f(f(c)))
| r(c,f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f6085,f349]) ).
fof(f6088,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ325_spl
| ~ r(f(f(f(X0))),f(c))
| r(c,f(f(c)))
| f(f(f(X0))) = f(f(c))
| c = f(f(c)) ),
inference(resolution,[status(thm)],[f6085,f151]) ).
fof(f6089,plain,
( ~ sQ44_spl
| ~ sQ325_spl
| sQ51_spl
| sQ231_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f6086,f366,f2030,f372,f5315,f348]) ).
fof(f6091,definition,
! [X0] :
( sQ339_spl
<=> ( ~ r(f(f(f(X0))),f(c))
| f(f(f(X0))) = f(f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f6092,plain,
! [X0] :
( ~ sQ339_spl
| ~ r(f(f(f(X0))),f(c))
| f(f(f(X0))) = f(f(c)) ),
inference(component_clause,[status(thm)],[f6091]) ).
fof(f6094,plain,
( ~ sQ21_spl
| ~ sQ325_spl
| sQ24_spl
| sQ339_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f6088,f154,f6091,f160,f5315,f150]) ).
fof(f6095,plain,
! [X0] :
( ~ sQ339_spl
| ~ r(f(f(f(X0))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f6092,f15]) ).
fof(f6100,plain,
! [X0,X1] :
( ~ sQ329_spl
| r(f(f(f(f(X0)))),X1)
| r(c,X1)
| f(f(f(f(X0)))) = X1
| c = X1
| c = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f5718,f10]) ).
fof(f6102,plain,
! [X0,X1] :
( ~ sQ329_spl
| r(f(f(f(f(X1)))),X0)
| r(c,X0)
| f(f(f(f(X1)))) = X0
| c = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f6100,f11]) ).
fof(f6103,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ329_spl
| ~ r(f(f(f(f(X0)))),f(f(c)))
| r(c,f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| c = f(f(f(c))) ),
inference(resolution,[status(thm)],[f6102,f349]) ).
fof(f6104,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ329_spl
| ~ r(f(f(f(f(X0)))),f(c))
| r(c,f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| c = f(f(c)) ),
inference(resolution,[status(thm)],[f6102,f151]) ).
fof(f6105,plain,
( ~ sQ44_spl
| ~ sQ329_spl
| sQ51_spl
| sQ231_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f6103,f366,f2030,f372,f5713,f348]) ).
fof(f6106,plain,
( ~ sQ21_spl
| ~ sQ329_spl
| sQ24_spl
| sQ302_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f6104,f154,f4517,f160,f5713,f150]) ).
fof(f6111,plain,
( ~ sQ110_spl
| ~ sQ291_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f980,f6023]) ).
fof(f6124,plain,
( ~ sQ110_spl
| ~ sQ291_spl ),
inference(contradiction_clause,[status(thm)],[f6111]) ).
fof(f6130,plain,
( ~ sQ222_spl
| ~ sQ339_spl
| r(f(f(f(c))),f(c))
| f(f(f(f(f(f(c)))))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f6095,f1916]) ).
fof(f6131,plain,
( ~ sQ172_spl
| ~ sQ339_spl
| r(f(f(f(c))),f(c))
| f(f(f(f(f(c))))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f6095,f1562]) ).
fof(f6132,plain,
( ~ sQ122_spl
| ~ sQ339_spl
| r(f(f(c)),f(c))
| f(f(f(f(c)))) = f(c)
| f(f(c)) = f(c) ),
inference(resolution,[status(thm)],[f6095,f1081]) ).
fof(f6133,plain,
( ~ sQ123_spl
| ~ sQ339_spl
| r(f(f(f(c))),f(c))
| f(f(f(f(c)))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f6095,f1121]) ).
fof(f6142,plain,
( ~ sQ222_spl
| ~ sQ339_spl
| sQ56_spl
| sQ191_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f6130,f352,f1719,f392,f6091,f1915]) ).
fof(f6143,plain,
( ~ sQ172_spl
| ~ sQ339_spl
| sQ56_spl
| sQ144_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f6131,f352,f1383,f392,f6091,f1561]) ).
fof(f6144,plain,
( ~ sQ122_spl
| ~ sQ339_spl
| sQ27_spl
| sQ97_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f6132,f140,f931,f172,f6091,f1080]) ).
fof(f6145,plain,
( ~ sQ123_spl
| ~ sQ339_spl
| sQ56_spl
| sQ97_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f6133,f352,f931,f392,f6091,f1120]) ).
fof(f6150,definition,
! [X0] :
( sQ340_spl
<=> ( f(f(f(X0))) = f(c)
| ~ r(f(c),f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f6151,plain,
! [X0] :
( ~ sQ340_spl
| f(f(f(X0))) = f(c)
| ~ r(f(c),f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f6150]) ).
fof(f6155,plain,
! [X0] :
( ~ sQ340_spl
| ~ r(f(c),f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6151,f13]) ).
fof(f6185,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(backward_subsumption_resolution,[status(thm)],[f6043,f185]) ).
fof(f6191,plain,
( ~ sQ99_spl
| ~ sQ340_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f938,f6155]) ).
fof(f6195,plain,
( ~ sQ99_spl
| ~ sQ340_spl ),
inference(contradiction_clause,[status(thm)],[f6191]) ).
fof(f6240,plain,
! [X0,X1] :
( ~ sQ333_spl
| r(f(f(f(f(X0)))),X1)
| r(f(c),X1)
| f(f(f(f(X0)))) = X1
| f(c) = X1
| f(c) = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f5824,f10]) ).
fof(f6243,plain,
! [X0,X1] :
( ~ sQ333_spl
| r(f(f(f(f(X1)))),X0)
| r(f(c),X0)
| f(f(f(f(X1)))) = X0
| f(c) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f6240,f13]) ).
fof(f6246,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ333_spl
| ~ r(f(f(f(f(X0)))),f(f(c)))
| r(f(c),f(f(f(c))))
| f(f(f(f(X0)))) = f(f(f(c)))
| f(c) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f6243,f349]) ).
fof(f6248,plain,
( ~ sQ44_spl
| ~ sQ333_spl
| sQ47_spl
| sQ231_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f6246,f352,f2030,f358,f5781,f348]) ).
fof(f6258,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ26_spl
| r(c,f(f(f(X0))))
| f(f(c)) = f(f(f(X0)))
| c = f(f(f(X0)))
| ~ r(f(c),f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f185,f233]) ).
fof(f6261,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ26_spl
| r(c,f(f(f(X0))))
| f(f(c)) = f(f(f(X0)))
| ~ r(f(c),f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6258,f11]) ).
fof(f6262,plain,
( ~ sQ54_spl
| ~ sQ31_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f385,f2712]) ).
fof(f6275,plain,
( ~ sQ54_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f6262]) ).
fof(f6276,plain,
( ~ sQ71_spl
| ~ sQ33_spl
| r(f(c),f(f(c)))
| f(f(f(c))) = f(f(c))
| f(c) = f(f(c)) ),
inference(resolution,[status(thm)],[f2711,f579]) ).
fof(f6277,plain,
( ~ sQ222_spl
| ~ sQ33_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(f(f(c)))))) = f(f(c))
| f(f(f(c))) = f(f(c)) ),
inference(resolution,[status(thm)],[f2711,f1916]) ).
fof(f6278,plain,
( ~ sQ172_spl
| ~ sQ33_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(f(c))))) = f(f(c))
| f(f(f(c))) = f(f(c)) ),
inference(resolution,[status(thm)],[f2711,f1562]) ).
fof(f6279,plain,
( ~ sQ123_spl
| ~ sQ33_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(c)))) = f(f(c))
| f(f(f(c))) = f(f(c)) ),
inference(resolution,[status(thm)],[f2711,f1121]) ).
fof(f6280,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ33_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| f(f(f(c))) = f(f(c))
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f2711,f2389]) ).
fof(f6282,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ33_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(c))) = f(f(c))
| f(f(f(f(X0)))) = f(f(c))
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f2711,f2426]) ).
fof(f6285,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ33_spl
| r(f(f(c)),f(f(c)))
| f(f(c)) = f(f(c))
| f(f(f(X0))) = f(f(c))
| ~ r(f(f(f(X0))),f(c)) ),
inference(resolution,[status(thm)],[f2711,f780]) ).
fof(f6288,plain,
( ~ sQ71_spl
| ~ sQ33_spl
| sQ20_spl
| sQ41_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f6276,f140,f338,f146,f210,f578]) ).
fof(f6289,plain,
( ~ sQ222_spl
| ~ sQ33_spl
| sQ54_spl
| sQ187_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f6277,f338,f1705,f384,f210,f1915]) ).
fof(f6290,plain,
( ~ sQ172_spl
| ~ sQ33_spl
| sQ54_spl
| sQ140_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f6278,f338,f1369,f384,f210,f1561]) ).
fof(f6291,plain,
( ~ sQ123_spl
| ~ sQ33_spl
| sQ54_spl
| sQ93_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f6279,f338,f917,f384,f210,f1120]) ).
fof(f6292,plain,
( ~ sQ57_spl
| ~ sQ33_spl
| sQ54_spl
| sQ41_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f6280,f2112,f338,f384,f210,f396]) ).
fof(f6294,plain,
( ~ sQ52_spl
| ~ sQ33_spl
| sQ54_spl
| sQ41_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f6282,f2108,f338,f384,f210,f376]) ).
fof(f6300,plain,
( ~ sQ21_spl
| ~ sQ33_spl
| sQ32_spl
| sQ30_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f6285,f6091,f190,f196,f210,f150]) ).
fof(f6318,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ26_spl
| r(c,f(f(f(X0))))
| ~ r(f(c),f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6261,f15]) ).
fof(f6353,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ283_spl
| r(c,f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0))))
| c = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f5060,f109]) ).
fof(f6356,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ283_spl
| r(c,f(f(f(f(X0)))))
| f(c) = f(f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6353,f11]) ).
fof(f6358,plain,
! [X0,X1] :
( ~ sQ57_spl
| ~ sQ16_spl
| ~ sQ283_spl
| r(f(f(f(f(X1)))),X0)
| r(f(f(f(c))),X0)
| f(f(f(f(X1)))) = X0
| f(f(f(c))) = X0 ),
inference(backward_subsumption_resolution,[status(thm)],[f2389,f6359]) ).
fof(f6359,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ283_spl
| r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6356,f13]) ).
fof(f6361,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ16_spl
| ~ sQ283_spl
| ~ sQ21_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| f(f(f(c))) = f(f(c))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f151,f6358]) ).
fof(f6369,plain,
( ~ sQ57_spl
| ~ sQ16_spl
| ~ sQ283_spl
| ~ sQ21_spl
| sQ54_spl
| sQ41_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f6361,f4517,f338,f384,f150,f4219,f108,f396]) ).
fof(f6380,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ337_spl
| r(f(f(f(c))),f(c))
| f(f(f(f(X0)))) = f(c)
| f(f(f(c))) = f(c)
| ~ r(f(f(c)),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f6008,f2556]) ).
fof(f6382,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ337_spl
| r(f(f(f(c))),f(c))
| f(f(f(c))) = f(c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),f(f(c))) ),
inference(resolution,[status(thm)],[f6008,f2042]) ).
fof(f6383,plain,
! [X0] :
( ~ sQ231_spl
| ~ sQ337_spl
| r(f(f(c)),f(c))
| f(f(c)) = f(c)
| f(f(f(f(X0)))) = f(c) ),
inference(resolution,[status(thm)],[f6008,f2116]) ).
fof(f6384,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ337_spl
| r(f(f(c)),f(c))
| f(f(c)) = f(c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(c),f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f6008,f5252]) ).
fof(f6385,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ337_spl
| r(f(f(c)),f(c))
| f(f(c)) = f(c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f6008,f780]) ).
fof(f6388,plain,
( ~ sQ53_spl
| ~ sQ337_spl
| sQ56_spl
| sQ45_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f6380,f3684,f352,f392,f5901,f380]) ).
fof(f6390,plain,
( ~ sQ44_spl
| ~ sQ337_spl
| sQ56_spl
| sQ45_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f6382,f3680,f352,f392,f5901,f348]) ).
fof(f6391,plain,
( ~ sQ231_spl
| ~ sQ337_spl
| sQ27_spl
| sQ18_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f6383,f1178,f140,f172,f5901,f2030]) ).
fof(f6392,plain,
( ~ sQ19_spl
| ~ sQ337_spl
| sQ27_spl
| sQ18_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f6384,f5003,f140,f172,f5901,f143]) ).
fof(f6393,plain,
( ~ sQ21_spl
| ~ sQ337_spl
| sQ27_spl
| sQ18_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f6385,f5007,f140,f172,f5901,f150]) ).
fof(f6452,plain,
( ~ sQ222_spl
| ~ sQ289_spl
| ~ sQ37_spl
| ~ sQ34_spl
| r(f(f(f(c))),f(c))
| f(f(f(f(f(f(c)))))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f5000,f1916]) ).
fof(f6453,plain,
( ~ sQ172_spl
| ~ sQ289_spl
| ~ sQ37_spl
| ~ sQ34_spl
| r(f(f(f(c))),f(c))
| f(f(f(f(f(c))))) = f(c)
| f(f(f(c))) = f(c) ),
inference(resolution,[status(thm)],[f5000,f1562]) ).
fof(f6455,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ289_spl
| ~ sQ37_spl
| ~ sQ34_spl
| r(f(f(f(c))),f(c))
| f(f(f(f(X0)))) = f(c)
| f(f(f(c))) = f(c)
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f5000,f2389]) ).
fof(f6457,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ289_spl
| ~ sQ37_spl
| ~ sQ34_spl
| r(f(f(f(c))),f(c))
| f(f(f(c))) = f(c)
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(resolution,[status(thm)],[f5000,f2426]) ).
fof(f6464,plain,
( ~ sQ222_spl
| ~ sQ289_spl
| ~ sQ37_spl
| ~ sQ34_spl
| sQ56_spl
| sQ191_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f6452,f352,f1719,f392,f214,f232,f4272,f1915]) ).
fof(f6465,plain,
( ~ sQ172_spl
| ~ sQ289_spl
| ~ sQ37_spl
| ~ sQ34_spl
| sQ56_spl
| sQ144_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f6453,f352,f1383,f392,f214,f232,f4272,f1561]) ).
fof(f6467,plain,
( ~ sQ57_spl
| ~ sQ289_spl
| ~ sQ37_spl
| ~ sQ34_spl
| sQ56_spl
| sQ45_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f6455,f1182,f352,f392,f214,f232,f4272,f396]) ).
fof(f6469,plain,
( ~ sQ52_spl
| ~ sQ289_spl
| ~ sQ37_spl
| ~ sQ34_spl
| sQ56_spl
| sQ45_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f6457,f1206,f352,f392,f214,f232,f4272,f376]) ).
fof(f6664,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| r(c,f(f(f(f(X0)))))
| f(f(c)) = f(f(f(f(X0))))
| c = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f6185,f233]) ).
fof(f6667,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| r(c,f(f(f(f(X0)))))
| f(f(c)) = f(f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6664,f11]) ).
fof(f6669,plain,
( ~ sQ172_spl
| ~ sQ231_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(f(c))))) = f(f(c))
| f(f(f(c))) = f(f(c)) ),
inference(resolution,[status(thm)],[f2043,f1562]) ).
fof(f6671,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ231_spl
| r(f(f(f(c))),f(f(c)))
| f(f(f(f(X0)))) = f(f(c))
| f(f(f(c))) = f(f(c))
| ~ r(c,f(f(f(f(X0))))) ),
inference(resolution,[status(thm)],[f2043,f2389]) ).
fof(f6679,plain,
( ~ sQ172_spl
| ~ sQ231_spl
| sQ54_spl
| sQ140_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f6669,f338,f1369,f384,f2030,f1561]) ).
fof(f6681,plain,
( ~ sQ57_spl
| ~ sQ231_spl
| sQ54_spl
| sQ41_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f6671,f2112,f338,f384,f2030,f396]) ).
fof(f6686,plain,
! [X0,X1] :
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| r(f(f(f(f(X1)))),X0)
| r(f(f(f(c))),X0)
| f(f(f(f(X1)))) = X0
| f(f(f(c))) = X0 ),
inference(backward_subsumption_resolution,[status(thm)],[f2389,f6687]) ).
fof(f6687,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6667,f15]) ).
fof(f6697,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ60_spl
| r(f(f(c)),f(f(f(c))))
| f(f(c)) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f2708,f780]) ).
fof(f6700,definition,
! [X0] :
( sQ342_spl
<=> f(f(f(f(X0)))) = f(f(f(c))) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f6701,plain,
! [X0] :
( ~ sQ342_spl
| f(f(f(f(X0)))) = f(f(f(c))) ),
inference(component_clause,[status(thm)],[f6700]) ).
fof(f6706,plain,
( ~ sQ21_spl
| ~ sQ60_spl
| sQ43_spl
| sQ41_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f6697,f1139,f338,f344,f421,f150]) ).
fof(f6707,plain,
( ~ sQ342_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6701,f133]) ).
fof(f6708,plain,
~ sQ342_spl,
inference(contradiction_clause,[status(thm)],[f6707]) ).
fof(f6733,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ63_spl
| r(f(f(c)),f(f(f(c))))
| f(f(c)) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f2707,f780]) ).
fof(f6739,plain,
( ~ sQ21_spl
| ~ sQ63_spl
| sQ43_spl
| sQ41_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f6733,f1139,f338,f344,f466,f150]) ).
fof(f6771,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| ~ r(f(f(f(c))),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f404,f6687]) ).
fof(f6772,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl
| r(f(c),f(f(f(f(X0)))))
| f(f(f(c))) = f(f(f(f(X0))))
| f(c) = f(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f6771,f579]) ).
fof(f6773,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| r(f(f(c)),f(f(f(f(X0)))))
| f(f(c)) = f(f(f(f(X0))))
| f(f(f(c))) = f(f(f(f(X0))))
| ~ r(f(c),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f6771,f5252]) ).
fof(f6776,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| ~ r(f(f(f(f(X0)))),f(f(f(c)))) ),
inference(resolution,[status(thm)],[f6771,f6]) ).
fof(f6777,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl
| r(f(c),f(f(f(f(X0)))))
| f(f(f(c))) = f(f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6772,f13]) ).
fof(f6778,definition,
! [X0] :
( sQ343_spl
<=> ( r(f(f(c)),f(f(f(f(X0)))))
| f(f(c)) = f(f(f(f(X0))))
| f(f(f(c))) = f(f(f(f(X0)))) ) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f6779,plain,
! [X0] :
( ~ sQ343_spl
| r(f(f(c)),f(f(f(f(X0)))))
| f(f(c)) = f(f(f(f(X0))))
| f(f(f(c))) = f(f(f(f(X0)))) ),
inference(component_clause,[status(thm)],[f6778]) ).
fof(f6781,plain,
( ~ sQ19_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| sQ343_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f6773,f358,f6778,f168,f578,f380,f232,f396,f143]) ).
fof(f6783,plain,
! [X0] :
( ~ sQ343_spl
| r(f(f(c)),f(f(f(f(X0)))))
| f(f(c)) = f(f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6779,f133]) ).
fof(f6784,plain,
( ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| ~ sQ343_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6185,f6785]) ).
fof(f6785,plain,
! [X0] :
( ~ sQ343_spl
| r(f(f(c)),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6783,f15]) ).
fof(f6788,plain,
( ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| ~ sQ343_spl ),
inference(contradiction_clause,[status(thm)],[f6784]) ).
fof(f6789,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl
| r(f(c),f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6777,f133]) ).
fof(f6794,plain,
! [X0] :
( ~ sQ231_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| r(f(f(c)),f(f(f(c))))
| f(f(c)) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f6776,f2116]) ).
fof(f6796,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| r(f(f(c)),f(f(f(c))))
| f(f(c)) = f(f(f(c)))
| f(f(f(f(X0)))) = f(f(f(c)))
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(resolution,[status(thm)],[f6776,f780]) ).
fof(f6800,plain,
( ~ sQ231_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| sQ43_spl
| sQ41_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f6794,f6700,f338,f344,f168,f578,f380,f232,f396,f2030]) ).
fof(f6802,plain,
( ~ sQ21_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| sQ43_spl
| sQ41_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f6796,f1139,f338,f344,f168,f578,f380,f232,f396,f150]) ).
fof(f6803,plain,
( sQ193_spl
| ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1727,f6789]) ).
fof(f6804,plain,
( sQ193_spl
| ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f6803]) ).
fof(f6805,plain,
( ~ sQ155_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1424,f6776]) ).
fof(f6806,plain,
( ~ sQ155_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f6805]) ).
fof(f6808,plain,
! [X0] :
( ~ sQ231_spl
| ~ sQ114_spl
| r(f(f(c)),f(f(f(f(c)))))
| f(f(c)) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f2699,f2116]) ).
fof(f6809,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ114_spl
| r(f(f(c)),f(f(f(f(c)))))
| f(f(c)) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(c),f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[f2699,f5252]) ).
fof(f6810,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ114_spl
| r(f(f(c)),f(f(f(f(c)))))
| f(f(c)) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(c)) ),
inference(resolution,[status(thm)],[f2699,f780]) ).
fof(f6813,definition,
! [X0] :
( sQ344_spl
<=> f(f(f(f(f(X0))))) = f(f(f(f(c)))) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f6814,plain,
! [X0] :
( ~ sQ344_spl
| f(f(f(f(f(X0))))) = f(f(f(f(c)))) ),
inference(component_clause,[status(thm)],[f6813]) ).
fof(f6817,plain,
( ~ sQ231_spl
| ~ sQ114_spl
| sQ95_spl
| sQ93_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f6808,f6813,f917,f923,f1003,f2030]) ).
fof(f6818,definition,
! [X0] :
( sQ345_spl
<=> ( f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(c),f(f(f(f(f(X0)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f6819,plain,
! [X0] :
( ~ sQ345_spl
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(c),f(f(f(f(f(X0)))))) ),
inference(component_clause,[status(thm)],[f6818]) ).
fof(f6821,plain,
( ~ sQ19_spl
| ~ sQ114_spl
| sQ95_spl
| sQ93_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f6809,f6818,f917,f923,f1003,f143]) ).
fof(f6822,definition,
! [X0] :
( sQ346_spl
<=> ( f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f6823,plain,
! [X0] :
( ~ sQ346_spl
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(c)) ),
inference(component_clause,[status(thm)],[f6822]) ).
fof(f6825,plain,
( ~ sQ21_spl
| ~ sQ114_spl
| sQ95_spl
| sQ93_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f6810,f6822,f917,f923,f1003,f150]) ).
fof(f6827,plain,
( ~ sQ344_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6814,f329]) ).
fof(f6828,plain,
~ sQ344_spl,
inference(contradiction_clause,[status(thm)],[f6827]) ).
fof(f6829,plain,
! [X0] :
( ~ sQ345_spl
| ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl
| f(f(f(f(f(X0))))) = f(f(f(f(c)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6819,f6789]) ).
fof(f6830,plain,
! [X0] :
( ~ sQ346_spl
| ~ r(f(f(f(f(f(X0))))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f6823,f329]) ).
fof(f6831,plain,
( ~ sQ208_spl
| ~ sQ346_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1784,f6830]) ).
fof(f6839,plain,
( ~ sQ208_spl
| ~ sQ346_spl ),
inference(contradiction_clause,[status(thm)],[f6831]) ).
fof(f6859,plain,
( ~ sQ345_spl
| ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6829,f329]) ).
fof(f6860,plain,
( ~ sQ345_spl
| ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f6859]) ).
fof(f6861,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| ~ sQ116_spl
| r(f(f(f(c))),f(f(f(f(c)))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| f(f(f(c))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f2698,f6686]) ).
fof(f6862,plain,
! [X0] :
( ~ sQ231_spl
| ~ sQ116_spl
| r(f(f(c)),f(f(f(f(c)))))
| f(f(c)) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c)))) ),
inference(resolution,[status(thm)],[f2698,f2116]) ).
fof(f6863,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ116_spl
| r(f(f(c)),f(f(f(f(c)))))
| f(f(c)) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(c),f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[f2698,f5252]) ).
fof(f6864,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ116_spl
| r(f(f(c)),f(f(f(f(c)))))
| f(f(c)) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(c)) ),
inference(resolution,[status(thm)],[f2698,f780]) ).
fof(f6867,plain,
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| ~ sQ116_spl
| sQ91_spl
| sQ344_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f6861,f903,f6813,f909,f1029,f168,f578,f380,f232,f396]) ).
fof(f6868,plain,
( ~ sQ231_spl
| ~ sQ116_spl
| sQ95_spl
| sQ93_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f6862,f6813,f917,f923,f1029,f2030]) ).
fof(f6869,plain,
( ~ sQ19_spl
| ~ sQ116_spl
| sQ95_spl
| sQ93_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f6863,f6818,f917,f923,f1029,f143]) ).
fof(f6870,plain,
( ~ sQ21_spl
| ~ sQ116_spl
| sQ95_spl
| sQ93_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f6864,f6822,f917,f923,f1029,f150]) ).
fof(f6891,plain,
( ~ sQ204_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1768,f6776]) ).
fof(f6892,plain,
( ~ sQ204_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f6891]) ).
fof(f6914,plain,
( ~ sQ208_spl
| ~ sQ276_spl
| ~ r(f(f(f(f(f(f(c)))))),c) ),
inference(resolution,[status(thm)],[f4842,f1784]) ).
fof(f6915,plain,
( ~ sQ159_spl
| ~ sQ276_spl
| ~ r(f(f(f(f(f(c))))),c) ),
inference(resolution,[status(thm)],[f4842,f1440]) ).
fof(f6916,plain,
( ~ sQ110_spl
| ~ sQ276_spl
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f4842,f980]) ).
fof(f6924,plain,
( ~ sQ208_spl
| ~ sQ276_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f6914,f1791,f4150,f1783]) ).
fof(f6925,plain,
( ~ sQ159_spl
| ~ sQ276_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f6915,f1447,f4150,f1439]) ).
fof(f6926,plain,
( ~ sQ110_spl
| ~ sQ276_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f6916,f987,f4150,f979]) ).
fof(f6932,plain,
( ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl
| ~ sQ278_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6789,f6933]) ).
fof(f6933,plain,
! [X0] :
( ~ sQ278_spl
| ~ sQ37_spl
| ~ sQ26_spl
| ~ r(f(c),f(f(f(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5320,f6318]) ).
fof(f6937,plain,
( ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f6932]) ).
fof(f6972,plain,
! [X0,X1] :
( ~ sQ311_spl
| r(f(f(f(X0))),X1)
| r(f(c),X1)
| f(f(f(X0))) = X1
| f(c) = X1
| f(c) = f(f(f(X0)))
| ~ r(f(f(f(X0))),c) ),
inference(resolution,[status(thm)],[f6018,f10]) ).
fof(f6974,plain,
! [X0,X1] :
( ~ sQ311_spl
| r(f(f(f(X0))),X1)
| r(f(c),X1)
| f(f(f(X0))) = X1
| f(c) = X1
| ~ r(f(f(f(X0))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f6972,f13]) ).
fof(f6979,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ311_spl
| ~ r(f(c),f(f(f(X0))))
| r(f(c),f(f(c)))
| f(f(f(X0))) = f(f(c))
| f(c) = f(f(c))
| ~ r(f(f(f(X0))),c) ),
inference(resolution,[status(thm)],[f6974,f144]) ).
fof(f6985,plain,
( ~ sQ19_spl
| ~ sQ311_spl
| sQ20_spl
| sQ18_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f6979,f4195,f140,f146,f4837,f143]) ).
fof(f6987,plain,
( ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| ~ sQ261_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6687,f6988]) ).
fof(f6988,plain,
! [X0] :
( ~ sQ261_spl
| ~ r(c,f(f(f(f(X0))))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2899,f13]) ).
fof(f6993,plain,
( ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f6987]) ).
fof(f6994,plain,
( ~ sQ208_spl
| ~ sQ281_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1784,f6997]) ).
fof(f6997,plain,
! [X0] :
( ~ sQ281_spl
| ~ r(f(f(f(X0))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4287,f15]) ).
fof(f7004,plain,
( ~ sQ208_spl
| ~ sQ281_spl ),
inference(contradiction_clause,[status(thm)],[f6994]) ).
fof(f7040,plain,
( ~ sQ231_spl
| sQ177_spl
| r(f(f(c)),f(f(f(f(f(f(c)))))))
| f(f(c)) = f(f(f(f(f(f(c))))))
| f(f(f(f(f(c))))) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1671,f2116]) ).
fof(f7043,plain,
! [X0] :
( sQ177_spl
| r(f(f(f(f(f(f(c)))))),X0)
| r(f(f(f(f(f(c))))),X0)
| f(f(f(f(f(f(c)))))) = X0
| f(f(f(f(f(c))))) = X0
| f(f(f(f(f(c))))) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1671,f10]) ).
fof(f7046,plain,
( ~ sQ231_spl
| sQ177_spl
| sQ189_spl
| sQ187_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f7040,f1663,f1705,f1711,f1669,f2030]) ).
fof(f7049,definition,
! [X0] :
( sQ348_spl
<=> ( r(f(f(f(f(f(f(c)))))),X0)
| r(f(f(f(f(f(c))))),X0)
| f(f(f(f(f(f(c)))))) = X0
| f(f(f(f(f(c))))) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f7050,plain,
! [X0] :
( ~ sQ348_spl
| r(f(f(f(f(f(f(c)))))),X0)
| r(f(f(f(f(f(c))))),X0)
| f(f(f(f(f(f(c)))))) = X0
| f(f(f(f(f(c))))) = X0 ),
inference(component_clause,[status(thm)],[f7049]) ).
fof(f7052,plain,
( sQ177_spl
| sQ348_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f7043,f1663,f7049,f1669]) ).
fof(f7053,plain,
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| sQ200_spl
| r(f(f(f(c))),f(f(f(f(f(c))))))
| f(f(f(f(f(f(c)))))) = f(f(f(f(f(c)))))
| f(f(f(c))) = f(f(f(f(f(c))))) ),
inference(resolution,[status(thm)],[f1753,f6686]) ).
fof(f7058,plain,
( sQ200_spl
| ~ r(f(f(f(f(f(c))))),f(f(f(f(f(f(c))))))) ),
inference(resolution,[status(thm)],[f1753,f6]) ).
fof(f7059,plain,
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| sQ200_spl
| sQ138_spl
| sQ175_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f7053,f1355,f1663,f1361,f1751,f168,f578,f380,f232,f396]) ).
fof(f7064,plain,
( sQ200_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f7058,f1669,f1751]) ).
fof(f7065,plain,
( ~ sQ208_spl
| ~ sQ290_spl
| ~ r(f(f(f(f(f(f(c)))))),c) ),
inference(resolution,[status(thm)],[f4344,f1784]) ).
fof(f7066,plain,
( ~ sQ159_spl
| ~ sQ290_spl
| ~ r(f(f(f(f(f(c))))),c) ),
inference(resolution,[status(thm)],[f4344,f1440]) ).
fof(f7067,plain,
( ~ sQ110_spl
| ~ sQ290_spl
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f4344,f980]) ).
fof(f7074,plain,
( ~ sQ208_spl
| ~ sQ290_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f7065,f1791,f4276,f1783]) ).
fof(f7075,plain,
( ~ sQ159_spl
| ~ sQ290_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f7066,f1447,f4276,f1439]) ).
fof(f7076,plain,
( ~ sQ110_spl
| ~ sQ290_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f7067,f987,f4276,f979]) ).
fof(f7080,definition,
! [X0] :
( sQ349_spl
<=> ( f(f(f(f(X0)))) = f(c)
| ~ r(f(c),f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),c) ) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f7081,plain,
! [X0] :
( ~ sQ349_spl
| f(f(f(f(X0)))) = f(c)
| ~ r(f(c),f(f(f(f(X0)))))
| ~ r(f(f(f(f(X0)))),c) ),
inference(component_clause,[status(thm)],[f7080]) ).
fof(f7086,plain,
( ~ sQ208_spl
| ~ sQ126_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1784,f7089]) ).
fof(f7089,plain,
! [X0] :
( ~ sQ126_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| ~ r(f(f(f(f(X0)))),f(c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3907,f6687]) ).
fof(f7096,plain,
( ~ sQ208_spl
| ~ sQ126_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f7086]) ).
fof(f7097,plain,
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| ~ sQ348_spl
| r(f(f(f(f(f(c))))),f(f(f(c))))
| f(f(f(f(f(f(c)))))) = f(f(f(c)))
| f(f(f(f(f(c))))) = f(f(f(c))) ),
inference(resolution,[status(thm)],[f7050,f6776]) ).
fof(f7098,plain,
( ~ sQ231_spl
| ~ sQ348_spl
| r(f(f(f(f(f(c))))),f(f(c)))
| f(f(f(f(f(f(c)))))) = f(f(c))
| f(f(f(f(f(c))))) = f(f(c)) ),
inference(resolution,[status(thm)],[f7050,f2043]) ).
fof(f7101,plain,
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| ~ sQ348_spl
| sQ155_spl
| sQ183_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f7097,f1355,f1691,f1423,f7049,f168,f578,f380,f232,f396]) ).
fof(f7102,plain,
( ~ sQ231_spl
| ~ sQ348_spl
| sQ157_spl
| sQ187_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f7098,f1369,f1705,f1431,f7049,f2030]) ).
fof(f7105,plain,
( ~ sQ208_spl
| ~ sQ125_spl
| ~ r(f(f(f(f(f(f(c)))))),c) ),
inference(resolution,[status(thm)],[f4451,f1784]) ).
fof(f7106,plain,
( ~ sQ159_spl
| ~ sQ125_spl
| ~ r(f(f(f(f(f(c))))),c) ),
inference(resolution,[status(thm)],[f4451,f1440]) ).
fof(f7107,plain,
( ~ sQ110_spl
| ~ sQ125_spl
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f4451,f980]) ).
fof(f7114,plain,
( ~ sQ208_spl
| ~ sQ125_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f7105,f1791,f1143,f1783]) ).
fof(f7115,plain,
( ~ sQ159_spl
| ~ sQ125_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f7106,f1447,f1143,f1439]) ).
fof(f7116,plain,
( ~ sQ110_spl
| ~ sQ125_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f7107,f987,f1143,f979]) ).
fof(f7123,plain,
! [X0] :
( ~ sQ349_spl
| ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl
| f(f(f(f(X0)))) = f(c)
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f7081,f6789]) ).
fof(f7124,plain,
( ~ sQ210_spl
| ~ sQ349_spl
| ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1792,f7127]) ).
fof(f7127,plain,
! [X0] :
( ~ sQ349_spl
| ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f7123,f13]) ).
fof(f7134,plain,
( ~ sQ210_spl
| ~ sQ349_spl
| ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f7124]) ).
fof(f7135,plain,
( ~ sQ210_spl
| ~ sQ298_spl
| ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1792,f7138]) ).
fof(f7138,plain,
! [X0] :
( ~ sQ298_spl
| ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl
| ~ r(f(f(f(f(X0)))),c) ),
inference(forward_subsumption_resolution,[status(thm)],[f4708,f6789]) ).
fof(f7145,plain,
( ~ sQ210_spl
| ~ sQ298_spl
| ~ sQ71_spl
| ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f7135]) ).
fof(f7146,plain,
( ~ sQ208_spl
| ~ sQ273_spl
| ~ r(f(f(f(f(f(f(c)))))),c) ),
inference(resolution,[status(thm)],[f6026,f1784]) ).
fof(f7147,plain,
( ~ sQ159_spl
| ~ sQ273_spl
| ~ r(f(f(f(f(f(c))))),c) ),
inference(resolution,[status(thm)],[f6026,f1440]) ).
fof(f7148,plain,
( ~ sQ110_spl
| ~ sQ273_spl
| ~ r(f(f(f(f(c)))),c) ),
inference(resolution,[status(thm)],[f6026,f980]) ).
fof(f7155,plain,
( ~ sQ208_spl
| ~ sQ273_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f7146,f1791,f3981,f1783]) ).
fof(f7156,plain,
( ~ sQ159_spl
| ~ sQ273_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f7147,f1447,f3981,f1439]) ).
fof(f7157,plain,
( ~ sQ110_spl
| ~ sQ273_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f7148,f987,f3981,f979]) ).
fof(f7165,plain,
( ~ sQ231_spl
| sQ213_spl
| r(f(f(c)),f(f(f(f(f(f(c)))))))
| f(f(c)) = f(f(f(f(f(f(c))))))
| f(f(f(f(f(f(c)))))) = f(f(f(f(f(f(c)))))) ),
inference(resolution,[status(thm)],[f1815,f2116]) ).
fof(f7171,plain,
( ~ sQ231_spl
| sQ213_spl
| sQ189_spl
| sQ187_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f7165,f1807,f1705,f1711,f1813,f2030]) ).
fof(f7178,plain,
( ~ sQ202_spl
| ~ sQ100_spl
| ~ r(f(f(f(f(f(f(c)))))),f(c)) ),
inference(resolution,[status(thm)],[f942,f1760]) ).
fof(f7179,plain,
( ~ sQ153_spl
| ~ sQ100_spl
| ~ r(f(f(f(f(f(c))))),f(c)) ),
inference(resolution,[status(thm)],[f942,f1416]) ).
fof(f7180,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| ~ sQ100_spl
| r(f(f(f(c))),f(f(f(f(c)))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| f(f(f(c))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(c)) ),
inference(resolution,[status(thm)],[f942,f6686]) ).
fof(f7181,plain,
! [X0] :
( ~ sQ231_spl
| ~ sQ100_spl
| r(f(f(c)),f(f(f(f(c)))))
| f(f(c)) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(c)) ),
inference(resolution,[status(thm)],[f942,f2116]) ).
fof(f7182,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ100_spl
| r(f(f(c)),f(f(f(f(c)))))
| f(f(c)) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(c))
| ~ r(f(f(f(f(f(X0))))),f(c)) ),
inference(resolution,[status(thm)],[f942,f780]) ).
fof(f7183,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ100_spl
| r(f(f(c)),f(f(f(f(c)))))
| f(f(c)) = f(f(f(f(c))))
| f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(c),f(f(f(f(f(X0))))))
| ~ r(f(f(f(f(f(X0))))),f(c)) ),
inference(resolution,[status(thm)],[f942,f5252]) ).
fof(f7186,plain,
( ~ sQ202_spl
| ~ sQ100_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f7178,f1783,f941,f1759]) ).
fof(f7187,plain,
( ~ sQ153_spl
| ~ sQ100_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f7179,f1439,f941,f1415]) ).
fof(f7188,plain,
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ53_spl
| ~ sQ71_spl
| ~ sQ26_spl
| ~ sQ100_spl
| sQ91_spl
| sQ89_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f7180,f6822,f903,f909,f941,f168,f578,f380,f232,f396]) ).
fof(f7189,plain,
( ~ sQ231_spl
| ~ sQ100_spl
| sQ95_spl
| sQ93_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f7181,f6822,f917,f923,f941,f2030]) ).
fof(f7190,definition,
! [X0] :
( sQ351_spl
<=> ( f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(f(f(f(f(X0))))),f(c))
| ~ r(f(f(f(f(f(X0))))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f7193,plain,
( ~ sQ21_spl
| ~ sQ100_spl
| sQ95_spl
| sQ93_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f7182,f7190,f917,f923,f941,f150]) ).
fof(f7194,definition,
! [X0] :
( sQ352_spl
<=> ( f(f(f(f(f(X0))))) = f(f(f(f(c))))
| ~ r(f(c),f(f(f(f(f(X0))))))
| ~ r(f(f(f(f(f(X0))))),f(c)) ) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f7197,plain,
( ~ sQ19_spl
| ~ sQ100_spl
| sQ95_spl
| sQ93_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f7183,f7194,f917,f923,f941,f143]) ).
fof(f7199,plain,
$false,
inference(sat_refutation,[status(thm)],[f40,f50,f57,f67,f71,f72,f85,f88,f95,f99,f111,f115,f116,f127,f149,f153,f163,f167,f171,f175,f179,f183,f199,f200,f201,f203,f205,f213,f217,f221,f235,f240,f246,f256,f257,f271,f272,f285,f290,f347,f351,f361,f365,f375,f379,f383,f387,f391,f395,f399,f403,f408,f410,f412,f427,f429,f430,f436,f443,f454,f459,f469,f473,f477,f481,f492,f496,f569,f573,f577,f581,f583,f612,f613,f614,f622,f638,f677,f695,f707,f712,f716,f726,f730,f764,f771,f775,f807,f833,f834,f836,f837,f842,f843,f844,f865,f866,f875,f877,f882,f912,f916,f926,f930,f940,f944,f954,f958,f962,f966,f970,f978,f982,f986,f990,f1009,f1010,f1011,f1012,f1013,f1015,f1017,f1019,f1021,f1022,f1032,f1036,f1040,f1044,f1048,f1054,f1058,f1068,f1071,f1077,f1078,f1083,f1084,f1094,f1095,f1096,f1097,f1098,f1099,f1103,f1104,f1105,f1116,f1117,f1123,f1125,f1138,f1142,f1146,f1150,f1153,f1162,f1177,f1212,f1257,f1258,f1259,f1261,f1262,f1269,f1270,f1271,f1309,f1311,f1316,f1350,f1354,f1364,f1368,f1378,f1382,f1392,f1396,f1406,f1410,f1414,f1422,f1426,f1430,f1434,f1438,f1442,f1446,f1450,f1472,f1473,f1474,f1475,f1477,f1479,f1481,f1483,f1485,f1500,f1504,f1508,f1512,f1516,f1522,f1528,f1535,f1538,f1539,f1540,f1542,f1549,f1560,f1564,f1573,f1574,f1575,f1576,f1577,f1578,f1585,f1586,f1593,f1595,f1596,f1600,f1607,f1608,f1609,f1610,f1611,f1612,f1617,f1618,f1619,f1620,f1672,f1676,f1686,f1690,f1700,f1704,f1714,f1718,f1728,f1732,f1742,f1750,f1754,f1758,f1766,f1770,f1774,f1778,f1782,f1786,f1794,f1816,f1817,f1819,f1820,f1821,f1822,f1824,f1826,f1828,f1830,f1832,f1834,f1846,f1850,f1854,f1858,f1862,f1866,f1870,f1876,f1882,f1893,f1894,f1896,f1901,f1903,f1904,f1911,f1918,f1929,f1930,f1931,f1932,f1937,f1939,f1940,f1948,f1957,f1961,f1981,f1989,f1993,f2011,f2027,f2028,f2029,f2033,f2037,f2041,f2048,f2083,f2087,f2101,f2111,f2126,f2128,f2139,f2154,f2189,f2190,f2199,f2206,f2207,f2209,f2218,f2220,f2225,f2234,f2236,f2237,f2242,f2244,f2253,f2257,f2262,f2266,f2273,f2277,f2279,f2285,f2292,f2359,f2372,f2387,f2409,f2411,f2412,f2414,f2416,f2421,f2425,f2440,f2446,f2451,f2455,f2459,f2479,f2480,f2481,f2483,f2484,f2487,f2505,f2506,f2507,f2508,f2509,f2510,f2513,f2531,f2532,f2533,f2535,f2536,f2539,f2541,f2561,f2567,f2584,f2588,f2603,f2605,f2634,f2666,f2702,f2706,f2732,f2746,f2747,f2748,f2749,f2756,f2758,f2762,f2794,f2796,f2797,f2798,f2803,f2877,f2881,f2892,f2901,f2906,f2912,f2913,f2920,f2929,f2939,f2940,f2941,f2942,f3091,f3194,f3214,f3306,f3394,f3395,f3396,f3397,f3402,f3408,f3436,f3437,f3438,f3440,f3442,f3445,f3460,f3462,f3463,f3465,f3478,f3480,f3509,f3570,f3572,f3573,f3574,f3577,f3581,f3583,f3591,f3593,f3594,f3595,f3625,f3669,f3671,f3672,f3673,f3674,f3679,f3688,f3690,f3731,f3732,f3843,f3845,f3846,f3847,f3848,f3850,f3871,f3872,f3873,f3875,f3892,f3893,f3894,f3896,f3902,f3942,f4033,f4034,f4035,f4037,f4054,f4057,f4074,f4075,f4076,f4078,f4091,f4092,f4093,f4094,f4098,f4099,f4110,f4111,f4113,f4114,f4115,f4121,f4122,f4126,f4132,f4134,f4139,f4149,f4153,f4154,f4159,f4181,f4182,f4183,f4206,f4208,f4212,f4222,f4227,f4252,f4254,f4255,f4256,f4267,f4271,f4275,f4279,f4282,f4286,f4315,f4317,f4320,f4331,f4335,f4348,f4349,f4351,f4352,f4357,f4396,f4409,f4411,f4445,f4458,f4468,f4495,f4506,f4539,f4550,f4574,f4578,f4613,f4640,f4652,f4663,f4700,f4720,f4730,f4732,f4737,f4742,f4751,f4772,f4791,f4795,f4799,f4803,f4833,f4834,f4836,f4840,f4859,f4885,f4911,f4921,f4922,f4923,f4924,f4926,f4927,f4931,f4938,f4948,f4952,f4962,f4970,f4987,f4992,f5001,f5002,f5028,f5117,f5119,f5121,f5180,f5245,f5246,f5250,f5251,f5300,f5302,f5303,f5307,f5311,f5312,f5340,f5343,f5348,f5349,f5370,f5384,f5409,f5411,f5412,f5416,f5420,f5477,f5488,f5498,f5512,f5513,f5551,f5552,f5555,f5561,f5568,f5570,f5571,f5606,f5607,f5618,f5627,f5628,f5634,f5660,f5664,f5668,f5669,f5680,f5683,f5684,f5736,f5737,f5750,f5751,f5752,f5754,f5756,f5776,f5789,f5790,f5794,f5795,f5797,f5800,f5834,f5836,f5840,f5895,f5905,f5906,f5968,f5971,f5972,f5992,f5993,f6005,f6089,f6094,f6105,f6106,f6124,f6142,f6143,f6144,f6145,f6195,f6248,f6275,f6288,f6289,f6290,f6291,f6292,f6294,f6300,f6369,f6388,f6390,f6391,f6392,f6393,f6464,f6465,f6467,f6469,f6679,f6681,f6706,f6708,f6739,f6781,f6788,f6800,f6802,f6804,f6806,f6817,f6821,f6825,f6828,f6839,f6860,f6867,f6868,f6869,f6870,f6892,f6924,f6925,f6926,f6937,f6985,f6993,f7004,f7046,f7052,f7059,f7064,f7074,f7075,f7076,f7096,f7101,f7102,f7114,f7115,f7116,f7134,f7145,f7155,f7156,f7157,f7171,f7186,f7187,f7188,f7189,f7193,f7197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA118-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n018.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 20 19:39:13 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 127.33/16.50 % Refutation found
% 127.33/16.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 127.33/16.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 12.22/16.54 % Elapsed time: 16.178778 seconds
% 12.22/16.54 % CPU time: 128.125061 seconds
% 12.22/16.54 % Total memory used: 42.854 MB
% 12.22/16.54 % Net memory used: 32.736 MB
%------------------------------------------------------------------------------