%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRA117+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 12:30:51 PM UTC 2026
% Result : Unsatisfiable 7.31s 1.41s
% Output : CNFRefutation 7.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 192
% Syntax : Number of formulae : 1264 ( 46 unt; 174 def)
% Number of atoms : 4860 (1206 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 5683 (2087 ~;3422 |; 0 &)
% ( 174 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 177 ( 175 usr; 175 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 378 ( 378 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( r(Y,X)
| ~ r(X,Y) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
v0 != v1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
v0 != v2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
v1 != v2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
v0 != v3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
v1 != v3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
v2 != v3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
v0 != v4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
v1 != v4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
v2 != v4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
v3 != v4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
v0 != v5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
v1 != v5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
v2 != v5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
v3 != v5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
v4 != v5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,plain,
! [X0,X1] :
( r(X1,X0)
| ~ r(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,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(f21,plain,
! [X0,X1,X2] :
( ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1)
| X1 = X2
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,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(f23,plain,
! [X0,X1,X2] :
( r(X1,X2)
| r(X0,X2)
| r(X0,X1)
| X1 = X2
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
v0 != v1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
v0 != v2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f26,plain,
v1 != v2,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f27,plain,
v0 != v3,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f28,plain,
v1 != v3,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f29,plain,
v2 != v3,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f30,plain,
v0 != v4,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f31,plain,
v1 != v4,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f32,plain,
v2 != v4,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f33,plain,
v3 != v4,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f34,plain,
v0 != v5,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f35,plain,
v1 != v5,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f36,plain,
v2 != v5,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f37,plain,
v3 != v5,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f38,plain,
v4 != v5,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f40,plain,
! [X0] :
( ~ r(v3,X0)
| ~ r(v2,X0)
| ~ r(v2,v3)
| v3 = X0
| v2 = X0 ),
inference(resolution,[status(thm)],[f21,f29]) ).
fof(f42,plain,
! [X0] :
( ~ r(v3,X0)
| ~ r(v1,X0)
| ~ r(v1,v3)
| v3 = X0
| v1 = X0 ),
inference(resolution,[status(thm)],[f21,f28]) ).
fof(f43,plain,
( ~ r(v2,v2)
| ~ r(v1,v2)
| ~ r(v1,v2)
| v2 = v2 ),
inference(resolution,[status(thm)],[f21,f26]) ).
fof(f44,plain,
! [X0] :
( ~ r(v2,X0)
| ~ r(v1,X0)
| ~ r(v1,v2)
| v2 = X0
| v1 = X0 ),
inference(resolution,[status(thm)],[f21,f26]) ).
fof(f46,plain,
! [X0] :
( ~ r(v3,X0)
| ~ r(v0,X0)
| ~ r(v0,v3)
| v3 = X0
| v0 = X0 ),
inference(resolution,[status(thm)],[f21,f27]) ).
fof(f47,plain,
( ~ r(v2,v2)
| ~ r(v0,v2)
| ~ r(v0,v2)
| v2 = v2 ),
inference(resolution,[status(thm)],[f21,f25]) ).
fof(f49,plain,
( ~ r(v1,v1)
| ~ r(v0,v1)
| ~ r(v0,v1)
| v1 = v1 ),
inference(resolution,[status(thm)],[f21,f24]) ).
fof(f50,plain,
! [X0] :
( ~ r(v1,X0)
| ~ r(v0,X0)
| ~ r(v0,v1)
| v1 = X0
| v0 = X0 ),
inference(resolution,[status(thm)],[f21,f24]) ).
fof(f52,plain,
! [X0] :
( ~ r(v2,X0)
| ~ r(v3,X0)
| ~ r(v3,v2)
| v2 = X0
| v3 = X0 ),
inference(resolution,[status(thm)],[f21,f29]) ).
fof(f53,plain,
( ~ r(v1,v1)
| ~ r(v3,v1)
| ~ r(v3,v1)
| v1 = v1 ),
inference(resolution,[status(thm)],[f21,f28]) ).
fof(f54,plain,
! [X0] :
( ~ r(v1,X0)
| ~ r(v3,X0)
| ~ r(v3,v1)
| v1 = X0
| v3 = X0 ),
inference(resolution,[status(thm)],[f21,f28]) ).
fof(f55,plain,
( ~ r(v1,v1)
| ~ r(v2,v1)
| ~ r(v2,v1)
| v1 = v1 ),
inference(resolution,[status(thm)],[f21,f26]) ).
fof(f56,plain,
! [X0] :
( ~ r(v1,X0)
| ~ r(v2,X0)
| ~ r(v2,v1)
| v1 = X0
| v2 = X0 ),
inference(resolution,[status(thm)],[f21,f26]) ).
fof(f57,plain,
( ~ r(v0,v0)
| ~ r(v3,v0)
| ~ r(v3,v0)
| v0 = v0 ),
inference(resolution,[status(thm)],[f21,f27]) ).
fof(f58,plain,
! [X0] :
( ~ r(v0,X0)
| ~ r(v3,X0)
| ~ r(v3,v0)
| v0 = X0
| v3 = X0 ),
inference(resolution,[status(thm)],[f21,f27]) ).
fof(f59,plain,
( ~ r(v0,v0)
| ~ r(v2,v0)
| ~ r(v2,v0)
| v0 = v0 ),
inference(resolution,[status(thm)],[f21,f25]) ).
fof(f60,plain,
! [X0] :
( ~ r(v0,X0)
| ~ r(v2,X0)
| ~ r(v2,v0)
| v0 = X0
| v2 = X0 ),
inference(resolution,[status(thm)],[f21,f25]) ).
fof(f61,plain,
( ~ r(v0,v0)
| ~ r(v1,v0)
| ~ r(v1,v0)
| v0 = v0 ),
inference(resolution,[status(thm)],[f21,f24]) ).
fof(f62,plain,
! [X0] :
( ~ r(v0,X0)
| ~ r(v1,X0)
| ~ r(v1,v0)
| v0 = X0
| v1 = X0 ),
inference(resolution,[status(thm)],[f21,f24]) ).
fof(f64,plain,
! [X0] :
( ~ r(X0,v3)
| ~ r(v2,v3)
| ~ r(v2,X0)
| X0 = v3
| v2 = X0 ),
inference(resolution,[status(thm)],[f21,f29]) ).
fof(f66,plain,
! [X0] :
( ~ r(X0,v3)
| ~ r(v1,v3)
| ~ r(v1,X0)
| X0 = v3
| v1 = X0 ),
inference(resolution,[status(thm)],[f21,f28]) ).
fof(f68,plain,
! [X0] :
( ~ r(X0,v2)
| ~ r(v1,v2)
| ~ r(v1,X0)
| X0 = v2
| v1 = X0 ),
inference(resolution,[status(thm)],[f21,f26]) ).
fof(f69,plain,
( ~ r(v0,v3)
| ~ r(v0,v3)
| ~ r(v0,v0)
| v0 = v0 ),
inference(resolution,[status(thm)],[f21,f27]) ).
fof(f72,plain,
! [X0] :
( ~ r(X0,v2)
| ~ r(v0,v2)
| ~ r(v0,X0)
| X0 = v2
| v0 = X0 ),
inference(resolution,[status(thm)],[f21,f25]) ).
fof(f73,plain,
( ~ r(v0,v1)
| ~ r(v0,v1)
| ~ r(v0,v0)
| v0 = v0 ),
inference(resolution,[status(thm)],[f21,f24]) ).
fof(f74,plain,
! [X0] :
( ~ r(X0,v1)
| ~ r(v0,v1)
| ~ r(v0,X0)
| X0 = v1
| v0 = X0 ),
inference(resolution,[status(thm)],[f21,f24]) ).
fof(f76,plain,
! [X0] :
( ~ r(X0,v2)
| ~ r(v3,v2)
| ~ r(v3,X0)
| X0 = v2
| v3 = X0 ),
inference(resolution,[status(thm)],[f21,f29]) ).
fof(f78,plain,
! [X0] :
( ~ r(X0,v1)
| ~ r(v3,v1)
| ~ r(v3,X0)
| X0 = v1
| v3 = X0 ),
inference(resolution,[status(thm)],[f21,f28]) ).
fof(f80,plain,
! [X0] :
( ~ r(X0,v1)
| ~ r(v2,v1)
| ~ r(v2,X0)
| X0 = v1
| v2 = X0 ),
inference(resolution,[status(thm)],[f21,f26]) ).
fof(f84,plain,
! [X0] :
( ~ r(X0,v0)
| ~ r(v2,v0)
| ~ r(v2,X0)
| X0 = v0
| v2 = X0 ),
inference(resolution,[status(thm)],[f21,f25]) ).
fof(f86,plain,
! [X0] :
( ~ r(X0,v0)
| ~ r(v1,v0)
| ~ r(v1,X0)
| X0 = v0
| v1 = X0 ),
inference(resolution,[status(thm)],[f21,f24]) ).
fof(f87,plain,
! [X0] :
( ~ r(v2,v3)
| ~ r(X0,v3)
| ~ r(X0,v2)
| X0 = v3
| X0 = v2 ),
inference(resolution,[status(thm)],[f21,f29]) ).
fof(f88,plain,
! [X0] :
( ~ r(v1,v3)
| ~ r(X0,v3)
| ~ r(X0,v1)
| X0 = v3
| X0 = v1 ),
inference(resolution,[status(thm)],[f21,f28]) ).
fof(f91,plain,
! [X0] :
( ~ r(v0,v2)
| ~ r(X0,v2)
| ~ r(X0,v0)
| X0 = v2
| X0 = v0 ),
inference(resolution,[status(thm)],[f21,f25]) ).
fof(f93,plain,
! [X0] :
( ~ r(v3,v2)
| ~ r(X0,v2)
| ~ r(X0,v3)
| X0 = v2
| X0 = v3 ),
inference(resolution,[status(thm)],[f21,f29]) ).
fof(f95,plain,
! [X0] :
( ~ r(v2,v1)
| ~ r(X0,v1)
| ~ r(X0,v2)
| X0 = v1
| X0 = v2 ),
inference(resolution,[status(thm)],[f21,f26]) ).
fof(f97,plain,
! [X0] :
( ~ r(v2,v0)
| ~ r(X0,v0)
| ~ r(X0,v2)
| X0 = v0
| X0 = v2 ),
inference(resolution,[status(thm)],[f21,f25]) ).
fof(f98,plain,
! [X0] :
( ~ r(v1,v0)
| ~ r(X0,v0)
| ~ r(X0,v1)
| X0 = v0
| X0 = v1 ),
inference(resolution,[status(thm)],[f21,f24]) ).
fof(f106,definition,
( sQ0_spl
<=> v3 = v3 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f109,definition,
( sQ1_spl
<=> r(v2,v3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ1_spl
| r(v2,v3) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f111,plain,
( sQ1_spl
| ~ r(v2,v3) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,definition,
( sQ2_spl
<=> r(v3,v3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f116,definition,
! [X0] :
( sQ3_spl
<=> ( ~ r(v3,X0)
| ~ r(v2,X0)
| v3 = X0
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f117,plain,
! [X0] :
( ~ sQ3_spl
| ~ r(v3,X0)
| ~ r(v2,X0)
| v3 = X0
| v2 = X0 ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( ~ sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f40,f116,f109]) ).
fof(f120,definition,
( sQ4_spl
<=> r(v1,v3) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( sQ4_spl
| ~ r(v1,v3) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f124,definition,
! [X0] :
( sQ5_spl
<=> ( ~ r(v3,X0)
| ~ r(v1,X0)
| v3 = X0
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f125,plain,
! [X0] :
( ~ sQ5_spl
| ~ r(v3,X0)
| ~ r(v1,X0)
| v3 = X0
| v1 = X0 ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( ~ sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f42,f124,f120]) ).
fof(f128,definition,
( sQ6_spl
<=> v2 = v2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f131,definition,
( sQ7_spl
<=> r(v1,v2) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( sQ7_spl
| ~ r(v1,v2) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,definition,
( sQ8_spl
<=> r(v2,v2) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f43,f128,f131,f134]) ).
fof(f138,definition,
! [X0] :
( sQ9_spl
<=> ( ~ r(v2,X0)
| ~ r(v1,X0)
| v2 = X0
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f139,plain,
! [X0] :
( ~ sQ9_spl
| ~ r(v2,X0)
| ~ r(v1,X0)
| v2 = X0
| v1 = X0 ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,plain,
( ~ sQ7_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f44,f138,f131]) ).
fof(f142,definition,
( sQ10_spl
<=> r(v0,v3) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( sQ10_spl
| ~ r(v0,v3) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f146,definition,
! [X0] :
( sQ11_spl
<=> ( ~ r(v3,X0)
| ~ r(v0,X0)
| v3 = X0
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f147,plain,
! [X0] :
( ~ sQ11_spl
| ~ r(v3,X0)
| ~ r(v0,X0)
| v3 = X0
| v0 = X0 ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( ~ sQ10_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f46,f146,f142]) ).
fof(f150,definition,
( sQ12_spl
<=> r(v0,v2) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( sQ12_spl
| ~ r(v0,v2) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f47,f128,f150,f134]) ).
fof(f154,definition,
! [X0] :
( sQ13_spl
<=> ( ~ r(v2,X0)
| ~ r(v0,X0)
| v2 = X0
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f155,plain,
! [X0] :
( ~ sQ13_spl
| ~ r(v2,X0)
| ~ r(v0,X0)
| v2 = X0
| v0 = X0 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f158,definition,
( sQ14_spl
<=> v1 = v1 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f161,definition,
( sQ15_spl
<=> r(v0,v1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( sQ15_spl
| ~ r(v0,v1) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,definition,
( sQ16_spl
<=> r(v1,v1) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ16_spl
| ~ sQ15_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f49,f158,f161,f164]) ).
fof(f168,definition,
! [X0] :
( sQ17_spl
<=> ( ~ r(v1,X0)
| ~ r(v0,X0)
| v1 = X0
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f169,plain,
! [X0] :
( ~ sQ17_spl
| ~ r(v1,X0)
| ~ r(v0,X0)
| v1 = X0
| v0 = X0 ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( ~ sQ15_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f50,f168,f161]) ).
fof(f172,definition,
( sQ18_spl
<=> r(v3,v2) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( sQ18_spl
| ~ r(v3,v2) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f176,plain,
( ~ sQ18_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f116,f172]) ).
fof(f177,definition,
( sQ19_spl
<=> r(v3,v1) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( sQ19_spl
| ~ r(v3,v1) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( ~ sQ16_spl
| ~ sQ19_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f53,f158,f177,f164]) ).
fof(f181,plain,
( ~ sQ19_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f54,f124,f177]) ).
fof(f182,definition,
( sQ20_spl
<=> r(v2,v1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( sQ20_spl
| ~ r(v2,v1) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( ~ sQ16_spl
| ~ sQ20_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f55,f158,f182,f164]) ).
fof(f186,plain,
( ~ sQ20_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f56,f138,f182]) ).
fof(f187,definition,
( sQ21_spl
<=> v0 = v0 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f190,definition,
( sQ22_spl
<=> r(v3,v0) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( sQ22_spl
| ~ r(v3,v0) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,definition,
( sQ23_spl
<=> r(v0,v0) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f57,f187,f190,f193]) ).
fof(f197,plain,
( ~ sQ22_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f58,f146,f190]) ).
fof(f198,definition,
( sQ24_spl
<=> r(v2,v0) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( sQ24_spl
| ~ r(v2,v0) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f59,f187,f198,f193]) ).
fof(f202,plain,
( ~ sQ24_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f60,f154,f198]) ).
fof(f203,definition,
( sQ25_spl
<=> r(v1,v0) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( sQ25_spl
| ~ r(v1,v0) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( ~ sQ23_spl
| ~ sQ25_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f61,f187,f203,f193]) ).
fof(f207,plain,
( ~ sQ25_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f62,f168,f203]) ).
fof(f209,definition,
! [X0] :
( sQ26_spl
<=> ( ~ r(X0,v3)
| ~ r(v2,X0)
| X0 = v3
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f210,plain,
! [X0] :
( ~ sQ26_spl
| ~ r(X0,v3)
| ~ r(v2,X0)
| X0 = v3
| v2 = X0 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( ~ sQ1_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f64,f209,f109]) ).
fof(f214,definition,
! [X0] :
( sQ27_spl
<=> ( ~ r(X0,v3)
| ~ r(v1,X0)
| X0 = v3
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f215,plain,
! [X0] :
( ~ sQ27_spl
| ~ r(X0,v3)
| ~ r(v1,X0)
| X0 = v3
| v1 = X0 ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( ~ sQ4_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f66,f214,f120]) ).
fof(f219,definition,
! [X0] :
( sQ28_spl
<=> ( ~ r(X0,v2)
| ~ r(v1,X0)
| X0 = v2
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f220,plain,
! [X0] :
( ~ sQ28_spl
| ~ r(X0,v2)
| ~ r(v1,X0)
| X0 = v2
| v1 = X0 ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,plain,
( ~ sQ7_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f68,f219,f131]) ).
fof(f223,plain,
( ~ sQ10_spl
| ~ sQ23_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f69,f187,f193,f142]) ).
fof(f224,definition,
! [X0] :
( sQ29_spl
<=> ( ~ r(X0,v3)
| ~ r(v0,X0)
| X0 = v3
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f225,plain,
! [X0] :
( ~ sQ29_spl
| ~ r(X0,v3)
| ~ r(v0,X0)
| X0 = v3
| v0 = X0 ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f229,definition,
! [X0] :
( sQ30_spl
<=> ( ~ r(X0,v2)
| ~ r(v0,X0)
| X0 = v2
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f230,plain,
! [X0] :
( ~ sQ30_spl
| ~ r(X0,v2)
| ~ r(v0,X0)
| X0 = v2
| v0 = X0 ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( ~ sQ12_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f72,f229,f150]) ).
fof(f233,plain,
( ~ sQ15_spl
| ~ sQ23_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f73,f187,f193,f161]) ).
fof(f234,definition,
! [X0] :
( sQ31_spl
<=> ( ~ r(X0,v1)
| ~ r(v0,X0)
| X0 = v1
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f235,plain,
! [X0] :
( ~ sQ31_spl
| ~ r(X0,v1)
| ~ r(v0,X0)
| X0 = v1
| v0 = X0 ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( ~ sQ15_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f74,f234,f161]) ).
fof(f239,definition,
! [X0] :
( sQ32_spl
<=> ( ~ r(X0,v2)
| ~ r(v3,X0)
| X0 = v2
| v3 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f240,plain,
! [X0] :
( ~ sQ32_spl
| ~ r(X0,v2)
| ~ r(v3,X0)
| X0 = v2
| v3 = X0 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( ~ sQ18_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f76,f239,f172]) ).
fof(f244,definition,
! [X0] :
( sQ33_spl
<=> ( ~ r(X0,v1)
| ~ r(v3,X0)
| X0 = v1
| v3 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f245,plain,
! [X0] :
( ~ sQ33_spl
| ~ r(X0,v1)
| ~ r(v3,X0)
| X0 = v1
| v3 = X0 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( ~ sQ19_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f78,f244,f177]) ).
fof(f249,definition,
! [X0] :
( sQ34_spl
<=> ( ~ r(X0,v1)
| ~ r(v2,X0)
| X0 = v1
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f250,plain,
! [X0] :
( ~ sQ34_spl
| ~ r(X0,v1)
| ~ r(v2,X0)
| X0 = v1
| v2 = X0 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( ~ sQ20_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f80,f249,f182]) ).
fof(f254,definition,
! [X0] :
( sQ35_spl
<=> ( ~ r(X0,v0)
| ~ r(v3,X0)
| X0 = v0
| v3 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f255,plain,
! [X0] :
( ~ sQ35_spl
| ~ r(X0,v0)
| ~ r(v3,X0)
| X0 = v0
| v3 = X0 ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f259,definition,
! [X0] :
( sQ36_spl
<=> ( ~ r(X0,v0)
| ~ r(v2,X0)
| X0 = v0
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f260,plain,
! [X0] :
( ~ sQ36_spl
| ~ r(X0,v0)
| ~ r(v2,X0)
| X0 = v0
| v2 = X0 ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,plain,
( ~ sQ24_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f84,f259,f198]) ).
fof(f264,definition,
! [X0] :
( sQ37_spl
<=> ( ~ r(X0,v0)
| ~ r(v1,X0)
| X0 = v0
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f265,plain,
! [X0] :
( ~ sQ37_spl
| ~ r(X0,v0)
| ~ r(v1,X0)
| X0 = v0
| v1 = X0 ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( ~ sQ25_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f86,f264,f203]) ).
fof(f268,definition,
! [X0] :
( sQ38_spl
<=> ( ~ r(X0,v3)
| ~ r(X0,v2)
| X0 = v3
| X0 = v2 ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f269,plain,
! [X0] :
( ~ sQ38_spl
| ~ r(X0,v3)
| ~ r(X0,v2)
| X0 = v3
| X0 = v2 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( ~ sQ1_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f87,f268,f109]) ).
fof(f272,definition,
! [X0] :
( sQ39_spl
<=> ( ~ r(X0,v3)
| ~ r(X0,v1)
| X0 = v3
| X0 = v1 ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f273,plain,
! [X0] :
( ~ sQ39_spl
| ~ r(X0,v3)
| ~ r(X0,v1)
| X0 = v3
| X0 = v1 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( ~ sQ4_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f88,f272,f120]) ).
fof(f276,definition,
! [X0] :
( sQ40_spl
<=> ( ~ r(X0,v2)
| ~ r(X0,v1)
| X0 = v2
| X0 = v1 ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f277,plain,
! [X0] :
( ~ sQ40_spl
| ~ r(X0,v2)
| ~ r(X0,v1)
| X0 = v2
| X0 = v1 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f280,definition,
! [X0] :
( sQ41_spl
<=> ( ~ r(X0,v3)
| ~ r(X0,v0)
| X0 = v3
| X0 = v0 ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f281,plain,
! [X0] :
( ~ sQ41_spl
| ~ r(X0,v3)
| ~ r(X0,v0)
| X0 = v3
| X0 = v0 ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f284,definition,
! [X0] :
( sQ42_spl
<=> ( ~ r(X0,v2)
| ~ r(X0,v0)
| X0 = v2
| X0 = v0 ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f285,plain,
! [X0] :
( ~ sQ42_spl
| ~ r(X0,v2)
| ~ r(X0,v0)
| X0 = v2
| X0 = v0 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( ~ sQ12_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f91,f284,f150]) ).
fof(f288,definition,
! [X0] :
( sQ43_spl
<=> ( ~ r(X0,v1)
| ~ r(X0,v0)
| X0 = v1
| X0 = v0 ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f289,plain,
! [X0] :
( ~ sQ43_spl
| ~ r(X0,v1)
| ~ r(X0,v0)
| X0 = v1
| X0 = v0 ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f292,plain,
( ~ sQ18_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f93,f268,f172]) ).
fof(f294,plain,
( ~ sQ20_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f95,f276,f182]) ).
fof(f296,plain,
( ~ sQ24_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f97,f284,f198]) ).
fof(f297,plain,
( ~ sQ25_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f98,f288,f203]) ).
fof(f299,plain,
! [X0] :
( ~ r(v0,v4)
| ~ r(X0,v4)
| ~ r(X0,v0)
| X0 = v4
| X0 = v0 ),
inference(resolution,[status(thm)],[f30,f21]) ).
fof(f300,plain,
( ~ r(v4,v4)
| ~ r(v0,v4)
| ~ r(v0,v4)
| v4 = v4 ),
inference(resolution,[status(thm)],[f30,f21]) ).
fof(f301,plain,
! [X0] :
( ~ r(X0,v4)
| ~ r(v0,v4)
| ~ r(v0,X0)
| X0 = v4
| v0 = X0 ),
inference(resolution,[status(thm)],[f30,f21]) ).
fof(f303,plain,
! [X0] :
( ~ r(v4,X0)
| ~ r(v0,X0)
| ~ r(v0,v4)
| v4 = X0
| v0 = X0 ),
inference(resolution,[status(thm)],[f30,f21]) ).
fof(f305,plain,
! [X0] :
( ~ r(v4,v0)
| ~ r(X0,v0)
| ~ r(X0,v4)
| X0 = v0
| X0 = v4 ),
inference(resolution,[status(thm)],[f30,f21]) ).
fof(f307,plain,
! [X0] :
( ~ r(X0,v0)
| ~ r(v4,v0)
| ~ r(v4,X0)
| X0 = v0
| v4 = X0 ),
inference(resolution,[status(thm)],[f30,f21]) ).
fof(f309,plain,
! [X0] :
( ~ r(v0,X0)
| ~ r(v4,X0)
| ~ r(v4,v0)
| v0 = X0
| v4 = X0 ),
inference(resolution,[status(thm)],[f30,f21]) ).
fof(f310,definition,
( sQ44_spl
<=> v4 = v4 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f313,definition,
( sQ45_spl
<=> r(v4,v0) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( sQ45_spl
| ~ r(v4,v0) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,definition,
( sQ46_spl
<=> r(v4,v4) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f319,definition,
( sQ47_spl
<=> r(v0,v4) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( sQ47_spl
| ~ r(v0,v4) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f323,definition,
! [X0] :
( sQ48_spl
<=> ( ~ r(X0,v4)
| ~ r(X0,v0)
| X0 = v4
| X0 = v0 ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f324,plain,
! [X0] :
( ~ sQ48_spl
| ~ r(X0,v4)
| ~ r(X0,v0)
| X0 = v4
| X0 = v0 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( ~ sQ47_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f299,f323,f319]) ).
fof(f327,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f300,f310,f319,f316]) ).
fof(f328,definition,
! [X0] :
( sQ49_spl
<=> ( ~ r(X0,v4)
| ~ r(v0,X0)
| X0 = v4
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f329,plain,
! [X0] :
( ~ sQ49_spl
| ~ r(X0,v4)
| ~ r(v0,X0)
| X0 = v4
| v0 = X0 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( ~ sQ47_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f301,f328,f319]) ).
fof(f333,definition,
! [X0] :
( sQ50_spl
<=> ( ~ r(v4,X0)
| ~ r(v0,X0)
| v4 = X0
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f334,plain,
! [X0] :
( ~ sQ50_spl
| ~ r(v4,X0)
| ~ r(v0,X0)
| v4 = X0
| v0 = X0 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( ~ sQ47_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f303,f333,f319]) ).
fof(f338,plain,
( ~ sQ45_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f305,f323,f313]) ).
fof(f340,definition,
! [X0] :
( sQ51_spl
<=> ( ~ r(X0,v0)
| ~ r(v4,X0)
| X0 = v0
| v4 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f341,plain,
! [X0] :
( ~ sQ51_spl
| ~ r(X0,v0)
| ~ r(v4,X0)
| X0 = v0
| v4 = X0 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( ~ sQ45_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f307,f340,f313]) ).
fof(f345,plain,
( ~ sQ45_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f309,f333,f313]) ).
fof(f348,plain,
( ~ r(v4,v4)
| ~ r(v1,v4)
| ~ r(v1,v4)
| v4 = v4 ),
inference(resolution,[status(thm)],[f31,f21]) ).
fof(f349,plain,
! [X0] :
( ~ r(X0,v4)
| ~ r(v1,v4)
| ~ r(v1,X0)
| X0 = v4
| v1 = X0 ),
inference(resolution,[status(thm)],[f31,f21]) ).
fof(f351,plain,
! [X0] :
( ~ r(v4,X0)
| ~ r(v1,X0)
| ~ r(v1,v4)
| v4 = X0
| v1 = X0 ),
inference(resolution,[status(thm)],[f31,f21]) ).
fof(f353,plain,
! [X0] :
( ~ r(v4,v1)
| ~ r(X0,v1)
| ~ r(X0,v4)
| X0 = v1
| X0 = v4 ),
inference(resolution,[status(thm)],[f31,f21]) ).
fof(f355,plain,
! [X0] :
( ~ r(X0,v1)
| ~ r(v4,v1)
| ~ r(v4,X0)
| X0 = v1
| v4 = X0 ),
inference(resolution,[status(thm)],[f31,f21]) ).
fof(f357,plain,
! [X0] :
( ~ r(v1,X0)
| ~ r(v4,X0)
| ~ r(v4,v1)
| v1 = X0
| v4 = X0 ),
inference(resolution,[status(thm)],[f31,f21]) ).
fof(f358,definition,
( sQ52_spl
<=> r(v4,v1) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( sQ52_spl
| ~ r(v4,v1) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,definition,
( sQ53_spl
<=> r(v1,v4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( sQ53_spl
| ~ r(v1,v4) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f365,definition,
! [X0] :
( sQ54_spl
<=> ( ~ r(X0,v4)
| ~ r(X0,v1)
| X0 = v4
| X0 = v1 ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f366,plain,
! [X0] :
( ~ sQ54_spl
| ~ r(X0,v4)
| ~ r(X0,v1)
| X0 = v4
| X0 = v1 ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f369,plain,
( ~ sQ46_spl
| ~ sQ53_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f348,f310,f361,f316]) ).
fof(f370,definition,
! [X0] :
( sQ55_spl
<=> ( ~ r(X0,v4)
| ~ r(v1,X0)
| X0 = v4
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f371,plain,
! [X0] :
( ~ sQ55_spl
| ~ r(X0,v4)
| ~ r(v1,X0)
| X0 = v4
| v1 = X0 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( ~ sQ53_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f349,f370,f361]) ).
fof(f375,definition,
! [X0] :
( sQ56_spl
<=> ( ~ r(v4,X0)
| ~ r(v1,X0)
| v4 = X0
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f376,plain,
! [X0] :
( ~ sQ56_spl
| ~ r(v4,X0)
| ~ r(v1,X0)
| v4 = X0
| v1 = X0 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( ~ sQ53_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f351,f375,f361]) ).
fof(f380,plain,
( ~ sQ52_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f353,f365,f358]) ).
fof(f382,definition,
! [X0] :
( sQ57_spl
<=> ( ~ r(X0,v1)
| ~ r(v4,X0)
| X0 = v1
| v4 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f383,plain,
! [X0] :
( ~ sQ57_spl
| ~ r(X0,v1)
| ~ r(v4,X0)
| X0 = v1
| v4 = X0 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( ~ sQ52_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f355,f382,f358]) ).
fof(f387,plain,
( ~ sQ52_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f357,f375,f358]) ).
fof(f389,plain,
! [X0] :
( ~ r(v2,v4)
| ~ r(X0,v4)
| ~ r(X0,v2)
| X0 = v4
| X0 = v2 ),
inference(resolution,[status(thm)],[f32,f21]) ).
fof(f391,plain,
! [X0] :
( ~ r(X0,v4)
| ~ r(v2,v4)
| ~ r(v2,X0)
| X0 = v4
| v2 = X0 ),
inference(resolution,[status(thm)],[f32,f21]) ).
fof(f395,plain,
! [X0] :
( ~ r(v4,v2)
| ~ r(X0,v2)
| ~ r(X0,v4)
| X0 = v2
| X0 = v4 ),
inference(resolution,[status(thm)],[f32,f21]) ).
fof(f397,plain,
! [X0] :
( ~ r(X0,v2)
| ~ r(v4,v2)
| ~ r(v4,X0)
| X0 = v2
| v4 = X0 ),
inference(resolution,[status(thm)],[f32,f21]) ).
fof(f399,plain,
! [X0] :
( ~ r(v2,X0)
| ~ r(v4,X0)
| ~ r(v4,v2)
| v2 = X0
| v4 = X0 ),
inference(resolution,[status(thm)],[f32,f21]) ).
fof(f400,definition,
( sQ58_spl
<=> r(v4,v2) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( sQ58_spl
| ~ r(v4,v2) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,definition,
( sQ59_spl
<=> r(v2,v4) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( sQ59_spl
| ~ r(v2,v4) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f407,definition,
! [X0] :
( sQ60_spl
<=> ( ~ r(X0,v4)
| ~ r(X0,v2)
| X0 = v4
| X0 = v2 ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f408,plain,
! [X0] :
( ~ sQ60_spl
| ~ r(X0,v4)
| ~ r(X0,v2)
| X0 = v4
| X0 = v2 ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( ~ sQ59_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f389,f407,f403]) ).
fof(f412,definition,
! [X0] :
( sQ61_spl
<=> ( ~ r(X0,v4)
| ~ r(v2,X0)
| X0 = v4
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f413,plain,
! [X0] :
( ~ sQ61_spl
| ~ r(X0,v4)
| ~ r(v2,X0)
| X0 = v4
| v2 = X0 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( ~ sQ59_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f391,f412,f403]) ).
fof(f417,definition,
! [X0] :
( sQ62_spl
<=> ( ~ r(v4,X0)
| ~ r(v2,X0)
| v4 = X0
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f418,plain,
! [X0] :
( ~ sQ62_spl
| ~ r(v4,X0)
| ~ r(v2,X0)
| v4 = X0
| v2 = X0 ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f422,plain,
( ~ sQ58_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f395,f407,f400]) ).
fof(f424,definition,
! [X0] :
( sQ63_spl
<=> ( ~ r(X0,v2)
| ~ r(v4,X0)
| X0 = v2
| v4 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f425,plain,
! [X0] :
( ~ sQ63_spl
| ~ r(X0,v2)
| ~ r(v4,X0)
| X0 = v2
| v4 = X0 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,plain,
( ~ sQ58_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f397,f424,f400]) ).
fof(f429,plain,
( ~ sQ58_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f399,f417,f400]) ).
fof(f432,plain,
! [X0] :
( ~ r(v3,v4)
| ~ r(X0,v4)
| ~ r(X0,v3)
| X0 = v4
| X0 = v3 ),
inference(resolution,[status(thm)],[f33,f21]) ).
fof(f434,plain,
! [X0] :
( ~ r(X0,v4)
| ~ r(v3,v4)
| ~ r(v3,X0)
| X0 = v4
| v3 = X0 ),
inference(resolution,[status(thm)],[f33,f21]) ).
fof(f436,plain,
! [X0] :
( ~ r(v4,X0)
| ~ r(v3,X0)
| ~ r(v3,v4)
| v4 = X0
| v3 = X0 ),
inference(resolution,[status(thm)],[f33,f21]) ).
fof(f438,plain,
! [X0] :
( ~ r(v4,v3)
| ~ r(X0,v3)
| ~ r(X0,v4)
| X0 = v3
| X0 = v4 ),
inference(resolution,[status(thm)],[f33,f21]) ).
fof(f439,plain,
( ~ r(v3,v3)
| ~ r(v4,v3)
| ~ r(v4,v3)
| v3 = v3 ),
inference(resolution,[status(thm)],[f33,f21]) ).
fof(f440,plain,
! [X0] :
( ~ r(X0,v3)
| ~ r(v4,v3)
| ~ r(v4,X0)
| X0 = v3
| v4 = X0 ),
inference(resolution,[status(thm)],[f33,f21]) ).
fof(f442,plain,
! [X0] :
( ~ r(v3,X0)
| ~ r(v4,X0)
| ~ r(v4,v3)
| v3 = X0
| v4 = X0 ),
inference(resolution,[status(thm)],[f33,f21]) ).
fof(f443,definition,
( sQ64_spl
<=> r(v4,v3) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( sQ64_spl
| ~ r(v4,v3) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ65_spl
<=> r(v3,v4) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( sQ65_spl
| ~ r(v3,v4) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f450,definition,
! [X0] :
( sQ66_spl
<=> ( ~ r(X0,v4)
| ~ r(X0,v3)
| X0 = v4
| X0 = v3 ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f451,plain,
! [X0] :
( ~ sQ66_spl
| ~ r(X0,v4)
| ~ r(X0,v3)
| X0 = v4
| X0 = v3 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( ~ sQ65_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f432,f450,f446]) ).
fof(f455,definition,
! [X0] :
( sQ67_spl
<=> ( ~ r(X0,v4)
| ~ r(v3,X0)
| X0 = v4
| v3 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f456,plain,
! [X0] :
( ~ sQ67_spl
| ~ r(X0,v4)
| ~ r(v3,X0)
| X0 = v4
| v3 = X0 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( ~ sQ65_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f434,f455,f446]) ).
fof(f460,definition,
! [X0] :
( sQ68_spl
<=> ( ~ r(v4,X0)
| ~ r(v3,X0)
| v4 = X0
| v3 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ65_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f436,f460,f446]) ).
fof(f465,plain,
( ~ sQ64_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f438,f450,f443]) ).
fof(f466,plain,
( ~ sQ2_spl
| ~ sQ64_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f439,f106,f443,f112]) ).
fof(f467,definition,
! [X0] :
( sQ69_spl
<=> ( ~ r(X0,v3)
| ~ r(v4,X0)
| X0 = v3
| v4 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f468,plain,
! [X0] :
( ~ sQ69_spl
| ~ r(X0,v3)
| ~ r(v4,X0)
| X0 = v3
| v4 = X0 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( ~ sQ64_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f440,f467,f443]) ).
fof(f472,plain,
( ~ sQ64_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f442,f460,f443]) ).
fof(f474,plain,
! [X0] :
( ~ r(v0,v5)
| ~ r(X0,v5)
| ~ r(X0,v0)
| X0 = v5
| X0 = v0 ),
inference(resolution,[status(thm)],[f34,f21]) ).
fof(f475,plain,
( ~ r(v5,v5)
| ~ r(v0,v5)
| ~ r(v0,v5)
| v5 = v5 ),
inference(resolution,[status(thm)],[f34,f21]) ).
fof(f476,plain,
! [X0] :
( ~ r(X0,v5)
| ~ r(v0,v5)
| ~ r(v0,X0)
| X0 = v5
| v0 = X0 ),
inference(resolution,[status(thm)],[f34,f21]) ).
fof(f478,plain,
! [X0] :
( ~ r(v5,X0)
| ~ r(v0,X0)
| ~ r(v0,v5)
| v5 = X0
| v0 = X0 ),
inference(resolution,[status(thm)],[f34,f21]) ).
fof(f480,plain,
! [X0] :
( ~ r(v5,v0)
| ~ r(X0,v0)
| ~ r(X0,v5)
| X0 = v0
| X0 = v5 ),
inference(resolution,[status(thm)],[f34,f21]) ).
fof(f482,plain,
! [X0] :
( ~ r(X0,v0)
| ~ r(v5,v0)
| ~ r(v5,X0)
| X0 = v0
| v5 = X0 ),
inference(resolution,[status(thm)],[f34,f21]) ).
fof(f484,plain,
! [X0] :
( ~ r(v0,X0)
| ~ r(v5,X0)
| ~ r(v5,v0)
| v0 = X0
| v5 = X0 ),
inference(resolution,[status(thm)],[f34,f21]) ).
fof(f485,definition,
( sQ70_spl
<=> v5 = v5 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f488,definition,
( sQ71_spl
<=> r(v5,v0) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ71_spl
| r(v5,v0) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f490,plain,
( sQ71_spl
| ~ r(v5,v0) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,definition,
( sQ72_spl
<=> r(v5,v5) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f494,definition,
( sQ73_spl
<=> r(v0,v5) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( sQ73_spl
| ~ r(v0,v5) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f498,definition,
! [X0] :
( sQ74_spl
<=> ( ~ r(X0,v5)
| ~ r(X0,v0)
| X0 = v5
| X0 = v0 ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f499,plain,
! [X0] :
( ~ sQ74_spl
| ~ r(X0,v5)
| ~ r(X0,v0)
| X0 = v5
| X0 = v0 ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,plain,
( ~ sQ73_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f474,f498,f494]) ).
fof(f502,plain,
( ~ sQ72_spl
| ~ sQ73_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f475,f485,f494,f491]) ).
fof(f503,definition,
! [X0] :
( sQ75_spl
<=> ( ~ r(X0,v5)
| ~ r(v0,X0)
| X0 = v5
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f504,plain,
! [X0] :
( ~ sQ75_spl
| ~ r(X0,v5)
| ~ r(v0,X0)
| X0 = v5
| v0 = X0 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( ~ sQ73_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f476,f503,f494]) ).
fof(f508,definition,
! [X0] :
( sQ76_spl
<=> ( ~ r(v5,X0)
| ~ r(v0,X0)
| v5 = X0
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f509,plain,
! [X0] :
( ~ sQ76_spl
| ~ r(v5,X0)
| ~ r(v0,X0)
| v5 = X0
| v0 = X0 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( ~ sQ73_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f478,f508,f494]) ).
fof(f513,plain,
( ~ sQ71_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f480,f498,f488]) ).
fof(f515,definition,
! [X0] :
( sQ77_spl
<=> ( ~ r(X0,v0)
| ~ r(v5,X0)
| X0 = v0
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f516,plain,
! [X0] :
( ~ sQ77_spl
| ~ r(X0,v0)
| ~ r(v5,X0)
| X0 = v0
| v5 = X0 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( ~ sQ71_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f482,f515,f488]) ).
fof(f520,plain,
( ~ sQ71_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f484,f508,f488]) ).
fof(f522,plain,
! [X0] :
( ~ r(v1,v5)
| ~ r(X0,v5)
| ~ r(X0,v1)
| X0 = v5
| X0 = v1 ),
inference(resolution,[status(thm)],[f35,f21]) ).
fof(f523,plain,
( ~ r(v5,v5)
| ~ r(v1,v5)
| ~ r(v1,v5)
| v5 = v5 ),
inference(resolution,[status(thm)],[f35,f21]) ).
fof(f524,plain,
! [X0] :
( ~ r(X0,v5)
| ~ r(v1,v5)
| ~ r(v1,X0)
| X0 = v5
| v1 = X0 ),
inference(resolution,[status(thm)],[f35,f21]) ).
fof(f526,plain,
! [X0] :
( ~ r(v5,X0)
| ~ r(v1,X0)
| ~ r(v1,v5)
| v5 = X0
| v1 = X0 ),
inference(resolution,[status(thm)],[f35,f21]) ).
fof(f528,plain,
! [X0] :
( ~ r(v5,v1)
| ~ r(X0,v1)
| ~ r(X0,v5)
| X0 = v1
| X0 = v5 ),
inference(resolution,[status(thm)],[f35,f21]) ).
fof(f530,plain,
! [X0] :
( ~ r(X0,v1)
| ~ r(v5,v1)
| ~ r(v5,X0)
| X0 = v1
| v5 = X0 ),
inference(resolution,[status(thm)],[f35,f21]) ).
fof(f532,plain,
! [X0] :
( ~ r(v1,X0)
| ~ r(v5,X0)
| ~ r(v5,v1)
| v1 = X0
| v5 = X0 ),
inference(resolution,[status(thm)],[f35,f21]) ).
fof(f533,definition,
( sQ78_spl
<=> r(v5,v1) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( ~ sQ78_spl
| r(v5,v1) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f535,plain,
( sQ78_spl
| ~ r(v5,v1) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,definition,
( sQ79_spl
<=> r(v1,v5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( sQ79_spl
| ~ r(v1,v5) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f540,definition,
! [X0] :
( sQ80_spl
<=> ( ~ r(X0,v5)
| ~ r(X0,v1)
| X0 = v5
| X0 = v1 ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f541,plain,
! [X0] :
( ~ sQ80_spl
| ~ r(X0,v5)
| ~ r(X0,v1)
| X0 = v5
| X0 = v1 ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,plain,
( ~ sQ79_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f522,f540,f536]) ).
fof(f544,plain,
( ~ sQ72_spl
| ~ sQ79_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f523,f485,f536,f491]) ).
fof(f545,definition,
! [X0] :
( sQ81_spl
<=> ( ~ r(X0,v5)
| ~ r(v1,X0)
| X0 = v5
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f546,plain,
! [X0] :
( ~ sQ81_spl
| ~ r(X0,v5)
| ~ r(v1,X0)
| X0 = v5
| v1 = X0 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( ~ sQ79_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f524,f545,f536]) ).
fof(f550,definition,
! [X0] :
( sQ82_spl
<=> ( ~ r(v5,X0)
| ~ r(v1,X0)
| v5 = X0
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f551,plain,
! [X0] :
( ~ sQ82_spl
| ~ r(v5,X0)
| ~ r(v1,X0)
| v5 = X0
| v1 = X0 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( ~ sQ79_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f526,f550,f536]) ).
fof(f555,plain,
( ~ sQ78_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f528,f540,f533]) ).
fof(f557,definition,
! [X0] :
( sQ83_spl
<=> ( ~ r(X0,v1)
| ~ r(v5,X0)
| X0 = v1
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f558,plain,
! [X0] :
( ~ sQ83_spl
| ~ r(X0,v1)
| ~ r(v5,X0)
| X0 = v1
| v5 = X0 ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,plain,
( ~ sQ78_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f530,f557,f533]) ).
fof(f562,plain,
( ~ sQ78_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f532,f550,f533]) ).
fof(f564,plain,
! [X0] :
( ~ r(v2,v5)
| ~ r(X0,v5)
| ~ r(X0,v2)
| X0 = v5
| X0 = v2 ),
inference(resolution,[status(thm)],[f36,f21]) ).
fof(f565,plain,
( ~ r(v5,v5)
| ~ r(v2,v5)
| ~ r(v2,v5)
| v5 = v5 ),
inference(resolution,[status(thm)],[f36,f21]) ).
fof(f566,plain,
! [X0] :
( ~ r(X0,v5)
| ~ r(v2,v5)
| ~ r(v2,X0)
| X0 = v5
| v2 = X0 ),
inference(resolution,[status(thm)],[f36,f21]) ).
fof(f568,plain,
! [X0] :
( ~ r(v5,X0)
| ~ r(v2,X0)
| ~ r(v2,v5)
| v5 = X0
| v2 = X0 ),
inference(resolution,[status(thm)],[f36,f21]) ).
fof(f570,plain,
! [X0] :
( ~ r(v5,v2)
| ~ r(X0,v2)
| ~ r(X0,v5)
| X0 = v2
| X0 = v5 ),
inference(resolution,[status(thm)],[f36,f21]) ).
fof(f571,plain,
( ~ r(v2,v2)
| ~ r(v5,v2)
| ~ r(v5,v2)
| v2 = v2 ),
inference(resolution,[status(thm)],[f36,f21]) ).
fof(f572,plain,
! [X0] :
( ~ r(X0,v2)
| ~ r(v5,v2)
| ~ r(v5,X0)
| X0 = v2
| v5 = X0 ),
inference(resolution,[status(thm)],[f36,f21]) ).
fof(f574,plain,
! [X0] :
( ~ r(v2,X0)
| ~ r(v5,X0)
| ~ r(v5,v2)
| v2 = X0
| v5 = X0 ),
inference(resolution,[status(thm)],[f36,f21]) ).
fof(f575,definition,
( sQ84_spl
<=> r(v5,v2) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( sQ84_spl
| ~ r(v5,v2) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,definition,
( sQ85_spl
<=> r(v2,v5) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f580,plain,
( sQ85_spl
| ~ r(v2,v5) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f582,definition,
! [X0] :
( sQ86_spl
<=> ( ~ r(X0,v5)
| ~ r(X0,v2)
| X0 = v5
| X0 = v2 ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f583,plain,
! [X0] :
( ~ sQ86_spl
| ~ r(X0,v5)
| ~ r(X0,v2)
| X0 = v5
| X0 = v2 ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( ~ sQ85_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f564,f582,f578]) ).
fof(f586,plain,
( ~ sQ72_spl
| ~ sQ85_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f565,f485,f578,f491]) ).
fof(f587,definition,
! [X0] :
( sQ87_spl
<=> ( ~ r(X0,v5)
| ~ r(v2,X0)
| X0 = v5
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f588,plain,
! [X0] :
( ~ sQ87_spl
| ~ r(X0,v5)
| ~ r(v2,X0)
| X0 = v5
| v2 = X0 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( ~ sQ85_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f566,f587,f578]) ).
fof(f592,definition,
! [X0] :
( sQ88_spl
<=> ( ~ r(v5,X0)
| ~ r(v2,X0)
| v5 = X0
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f593,plain,
! [X0] :
( ~ sQ88_spl
| ~ r(v5,X0)
| ~ r(v2,X0)
| v5 = X0
| v2 = X0 ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,plain,
( ~ sQ85_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f568,f592,f578]) ).
fof(f597,plain,
( ~ sQ84_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f570,f582,f575]) ).
fof(f598,plain,
( ~ sQ8_spl
| ~ sQ84_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f571,f128,f575,f134]) ).
fof(f599,definition,
! [X0] :
( sQ89_spl
<=> ( ~ r(X0,v2)
| ~ r(v5,X0)
| X0 = v2
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f600,plain,
! [X0] :
( ~ sQ89_spl
| ~ r(X0,v2)
| ~ r(v5,X0)
| X0 = v2
| v5 = X0 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( ~ sQ84_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f572,f599,f575]) ).
fof(f604,plain,
( ~ sQ84_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f574,f592,f575]) ).
fof(f606,plain,
! [X0] :
( ~ r(v3,v5)
| ~ r(X0,v5)
| ~ r(X0,v3)
| X0 = v5
| X0 = v3 ),
inference(resolution,[status(thm)],[f37,f21]) ).
fof(f608,plain,
! [X0] :
( ~ r(X0,v5)
| ~ r(v3,v5)
| ~ r(v3,X0)
| X0 = v5
| v3 = X0 ),
inference(resolution,[status(thm)],[f37,f21]) ).
fof(f610,plain,
! [X0] :
( ~ r(v5,X0)
| ~ r(v3,X0)
| ~ r(v3,v5)
| v5 = X0
| v3 = X0 ),
inference(resolution,[status(thm)],[f37,f21]) ).
fof(f612,plain,
! [X0] :
( ~ r(v5,v3)
| ~ r(X0,v3)
| ~ r(X0,v5)
| X0 = v3
| X0 = v5 ),
inference(resolution,[status(thm)],[f37,f21]) ).
fof(f614,plain,
! [X0] :
( ~ r(X0,v3)
| ~ r(v5,v3)
| ~ r(v5,X0)
| X0 = v3
| v5 = X0 ),
inference(resolution,[status(thm)],[f37,f21]) ).
fof(f616,plain,
! [X0] :
( ~ r(v3,X0)
| ~ r(v5,X0)
| ~ r(v5,v3)
| v3 = X0
| v5 = X0 ),
inference(resolution,[status(thm)],[f37,f21]) ).
fof(f617,definition,
( sQ90_spl
<=> r(v5,v3) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( sQ90_spl
| ~ r(v5,v3) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,definition,
( sQ91_spl
<=> r(v3,v5) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( sQ91_spl
| ~ r(v3,v5) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f624,definition,
! [X0] :
( sQ92_spl
<=> ( ~ r(X0,v5)
| ~ r(X0,v3)
| X0 = v5
| X0 = v3 ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f625,plain,
! [X0] :
( ~ sQ92_spl
| ~ r(X0,v5)
| ~ r(X0,v3)
| X0 = v5
| X0 = v3 ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,plain,
( ~ sQ91_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f606,f624,f620]) ).
fof(f629,definition,
! [X0] :
( sQ93_spl
<=> ( ~ r(X0,v5)
| ~ r(v3,X0)
| X0 = v5
| v3 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f630,plain,
! [X0] :
( ~ sQ93_spl
| ~ r(X0,v5)
| ~ r(v3,X0)
| X0 = v5
| v3 = X0 ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( ~ sQ91_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f608,f629,f620]) ).
fof(f634,definition,
! [X0] :
( sQ94_spl
<=> ( ~ r(v5,X0)
| ~ r(v3,X0)
| v5 = X0
| v3 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f635,plain,
! [X0] :
( ~ sQ94_spl
| ~ r(v5,X0)
| ~ r(v3,X0)
| v5 = X0
| v3 = X0 ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f637,plain,
( ~ sQ91_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f610,f634,f620]) ).
fof(f639,plain,
( ~ sQ90_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f612,f624,f617]) ).
fof(f641,definition,
! [X0] :
( sQ95_spl
<=> ( ~ r(X0,v3)
| ~ r(v5,X0)
| X0 = v3
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f642,plain,
! [X0] :
( ~ sQ95_spl
| ~ r(X0,v3)
| ~ r(v5,X0)
| X0 = v3
| v5 = X0 ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( ~ sQ90_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f614,f641,f617]) ).
fof(f646,plain,
( ~ sQ90_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f616,f634,f617]) ).
fof(f648,plain,
! [X0] :
( ~ r(v4,v5)
| ~ r(X0,v5)
| ~ r(X0,v4)
| X0 = v5
| X0 = v4 ),
inference(resolution,[status(thm)],[f38,f21]) ).
fof(f650,plain,
! [X0] :
( ~ r(X0,v5)
| ~ r(v4,v5)
| ~ r(v4,X0)
| X0 = v5
| v4 = X0 ),
inference(resolution,[status(thm)],[f38,f21]) ).
fof(f652,plain,
! [X0] :
( ~ r(v5,X0)
| ~ r(v4,X0)
| ~ r(v4,v5)
| v5 = X0
| v4 = X0 ),
inference(resolution,[status(thm)],[f38,f21]) ).
fof(f654,plain,
! [X0] :
( ~ r(v5,v4)
| ~ r(X0,v4)
| ~ r(X0,v5)
| X0 = v4
| X0 = v5 ),
inference(resolution,[status(thm)],[f38,f21]) ).
fof(f656,plain,
! [X0] :
( ~ r(X0,v4)
| ~ r(v5,v4)
| ~ r(v5,X0)
| X0 = v4
| v5 = X0 ),
inference(resolution,[status(thm)],[f38,f21]) ).
fof(f658,plain,
! [X0] :
( ~ r(v4,X0)
| ~ r(v5,X0)
| ~ r(v5,v4)
| v4 = X0
| v5 = X0 ),
inference(resolution,[status(thm)],[f38,f21]) ).
fof(f659,definition,
( sQ96_spl
<=> r(v5,v4) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f661,plain,
( sQ96_spl
| ~ r(v5,v4) ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,definition,
( sQ97_spl
<=> r(v4,v5) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( sQ97_spl
| ~ r(v4,v5) ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f666,definition,
! [X0] :
( sQ98_spl
<=> ( ~ r(X0,v5)
| ~ r(X0,v4)
| X0 = v5
| X0 = v4 ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f667,plain,
! [X0] :
( ~ sQ98_spl
| ~ r(X0,v5)
| ~ r(X0,v4)
| X0 = v5
| X0 = v4 ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,plain,
( ~ sQ97_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f648,f666,f662]) ).
fof(f671,definition,
! [X0] :
( sQ99_spl
<=> ( ~ r(X0,v5)
| ~ r(v4,X0)
| X0 = v5
| v4 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f672,plain,
! [X0] :
( ~ sQ99_spl
| ~ r(X0,v5)
| ~ r(v4,X0)
| X0 = v5
| v4 = X0 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( ~ sQ97_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f650,f671,f662]) ).
fof(f676,definition,
! [X0] :
( sQ100_spl
<=> ( ~ r(v5,X0)
| ~ r(v4,X0)
| v5 = X0
| v4 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f677,plain,
! [X0] :
( ~ sQ100_spl
| ~ r(v5,X0)
| ~ r(v4,X0)
| v5 = X0
| v4 = X0 ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,plain,
( ~ sQ97_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f652,f676,f662]) ).
fof(f681,plain,
( ~ sQ96_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f654,f666,f659]) ).
fof(f683,definition,
! [X0] :
( sQ101_spl
<=> ( ~ r(X0,v4)
| ~ r(v5,X0)
| X0 = v4
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f684,plain,
! [X0] :
( ~ sQ101_spl
| ~ r(X0,v4)
| ~ r(v5,X0)
| X0 = v4
| v5 = X0 ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,plain,
( ~ sQ96_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f656,f683,f659]) ).
fof(f688,plain,
( ~ sQ96_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f658,f676,f659]) ).
fof(f689,plain,
( sQ25_spl
| r(v1,v1)
| v1 = v0
| v1 = v0
| v1 = v1 ),
inference(resolution,[status(thm)],[f205,f23]) ).
fof(f690,plain,
! [X0] :
( sQ25_spl
| r(X0,v0)
| r(X0,v1)
| v1 = v0
| X0 = v0
| X0 = v1 ),
inference(resolution,[status(thm)],[f205,f23]) ).
fof(f691,plain,
( sQ25_spl
| r(v0,v0)
| v0 = v0
| v1 = v0
| v1 = v0 ),
inference(resolution,[status(thm)],[f205,f23]) ).
fof(f692,plain,
! [X0] :
( sQ25_spl
| r(X0,v0)
| r(v1,X0)
| X0 = v0
| v1 = v0
| v1 = X0 ),
inference(resolution,[status(thm)],[f205,f23]) ).
fof(f694,plain,
! [X0] :
( sQ25_spl
| r(v0,X0)
| r(v1,X0)
| v0 = X0
| v1 = X0
| v1 = v0 ),
inference(resolution,[status(thm)],[f205,f23]) ).
fof(f695,plain,
( sQ25_spl
| ~ r(v0,v1) ),
inference(resolution,[status(thm)],[f205,f19]) ).
fof(f696,definition,
( sQ102_spl
<=> v1 = v0 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( ~ sQ102_spl
| v1 = v0 ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,plain,
( sQ25_spl
| sQ16_spl
| sQ102_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f689,f158,f696,f164,f203]) ).
fof(f700,definition,
! [X0] :
( sQ103_spl
<=> ( r(X0,v0)
| r(X0,v1)
| X0 = v0
| X0 = v1 ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( sQ25_spl
| sQ102_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f690,f700,f696,f203]) ).
fof(f704,plain,
( sQ25_spl
| sQ23_spl
| sQ21_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f691,f696,f187,f193,f203]) ).
fof(f705,definition,
! [X0] :
( sQ104_spl
<=> ( r(X0,v0)
| r(v1,X0)
| X0 = v0
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( sQ25_spl
| sQ102_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f692,f705,f696,f203]) ).
fof(f710,definition,
! [X0] :
( sQ105_spl
<=> ( r(v0,X0)
| r(v1,X0)
| v0 = X0
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( sQ25_spl
| sQ105_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f694,f696,f710,f203]) ).
fof(f714,plain,
( ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f697,f24]) ).
fof(f715,plain,
~ sQ102_spl,
inference(contradiction_clause,[status(thm)],[f714]) ).
fof(f717,plain,
! [X0] :
( sQ24_spl
| r(X0,v0)
| r(X0,v2)
| v2 = v0
| X0 = v0
| X0 = v2 ),
inference(resolution,[status(thm)],[f200,f23]) ).
fof(f719,plain,
! [X0] :
( sQ24_spl
| r(X0,v0)
| r(v2,X0)
| X0 = v0
| v2 = v0
| v2 = X0 ),
inference(resolution,[status(thm)],[f200,f23]) ).
fof(f721,plain,
! [X0] :
( sQ24_spl
| r(v0,X0)
| r(v2,X0)
| v0 = X0
| v2 = X0
| v2 = v0 ),
inference(resolution,[status(thm)],[f200,f23]) ).
fof(f722,plain,
( sQ24_spl
| ~ r(v0,v2) ),
inference(resolution,[status(thm)],[f200,f19]) ).
fof(f723,definition,
( sQ106_spl
<=> v2 = v0 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f724,plain,
( ~ sQ106_spl
| v2 = v0 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f727,definition,
! [X0] :
( sQ107_spl
<=> ( r(X0,v0)
| r(X0,v2)
| X0 = v0
| X0 = v2 ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f728,plain,
! [X0] :
( ~ sQ107_spl
| r(X0,v0)
| r(X0,v2)
| X0 = v0
| X0 = v2 ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,plain,
( sQ24_spl
| sQ106_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f717,f727,f723,f198]) ).
fof(f732,definition,
! [X0] :
( sQ108_spl
<=> ( r(X0,v0)
| r(v2,X0)
| X0 = v0
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f733,plain,
! [X0] :
( ~ sQ108_spl
| r(X0,v0)
| r(v2,X0)
| X0 = v0
| v2 = X0 ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( sQ24_spl
| sQ106_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f719,f732,f723,f198]) ).
fof(f737,definition,
! [X0] :
( sQ109_spl
<=> ( r(v0,X0)
| r(v2,X0)
| v0 = X0
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f738,plain,
! [X0] :
( ~ sQ109_spl
| r(v0,X0)
| r(v2,X0)
| v0 = X0
| v2 = X0 ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,plain,
( sQ24_spl
| sQ109_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f721,f723,f737,f198]) ).
fof(f741,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f724,f25]) ).
fof(f742,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f741]) ).
fof(f744,plain,
! [X0] :
( sQ22_spl
| r(X0,v0)
| r(X0,v3)
| v3 = v0
| X0 = v0
| X0 = v3 ),
inference(resolution,[status(thm)],[f192,f23]) ).
fof(f746,plain,
! [X0] :
( sQ22_spl
| r(X0,v0)
| r(v3,X0)
| X0 = v0
| v3 = v0
| v3 = X0 ),
inference(resolution,[status(thm)],[f192,f23]) ).
fof(f748,plain,
! [X0] :
( sQ22_spl
| r(v0,X0)
| r(v3,X0)
| v0 = X0
| v3 = X0
| v3 = v0 ),
inference(resolution,[status(thm)],[f192,f23]) ).
fof(f749,plain,
( sQ22_spl
| ~ r(v0,v3) ),
inference(resolution,[status(thm)],[f192,f19]) ).
fof(f750,definition,
( sQ110_spl
<=> v3 = v0 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( ~ sQ110_spl
| v3 = v0 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f754,definition,
! [X0] :
( sQ111_spl
<=> ( r(X0,v0)
| r(X0,v3)
| X0 = v0
| X0 = v3 ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( sQ22_spl
| sQ110_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f744,f754,f750,f190]) ).
fof(f759,definition,
! [X0] :
( sQ112_spl
<=> ( r(X0,v0)
| r(v3,X0)
| X0 = v0
| v3 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( sQ22_spl
| sQ110_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f746,f759,f750,f190]) ).
fof(f764,definition,
! [X0] :
( sQ113_spl
<=> ( r(v0,X0)
| r(v3,X0)
| v0 = X0
| v3 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f767,plain,
( sQ22_spl
| sQ113_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f748,f750,f764,f190]) ).
fof(f768,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f751,f27]) ).
fof(f769,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f768]) ).
fof(f771,plain,
! [X0] :
( sQ20_spl
| r(X0,v1)
| r(X0,v2)
| v2 = v1
| X0 = v1
| X0 = v2 ),
inference(resolution,[status(thm)],[f184,f23]) ).
fof(f773,plain,
! [X0] :
( sQ20_spl
| r(X0,v1)
| r(v2,X0)
| X0 = v1
| v2 = v1
| v2 = X0 ),
inference(resolution,[status(thm)],[f184,f23]) ).
fof(f775,plain,
! [X0] :
( sQ20_spl
| r(v1,X0)
| r(v2,X0)
| v1 = X0
| v2 = X0
| v2 = v1 ),
inference(resolution,[status(thm)],[f184,f23]) ).
fof(f776,plain,
( sQ20_spl
| ~ r(v1,v2) ),
inference(resolution,[status(thm)],[f184,f19]) ).
fof(f777,definition,
( sQ114_spl
<=> v2 = v1 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( ~ sQ114_spl
| v2 = v1 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f781,definition,
! [X0] :
( sQ115_spl
<=> ( r(X0,v1)
| r(X0,v2)
| X0 = v1
| X0 = v2 ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f782,plain,
! [X0] :
( ~ sQ115_spl
| r(X0,v1)
| r(X0,v2)
| X0 = v1
| X0 = v2 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( sQ20_spl
| sQ114_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f771,f781,f777,f182]) ).
fof(f786,definition,
! [X0] :
( sQ116_spl
<=> ( r(X0,v1)
| r(v2,X0)
| X0 = v1
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( sQ20_spl
| sQ114_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f773,f786,f777,f182]) ).
fof(f791,definition,
! [X0] :
( sQ117_spl
<=> ( r(v1,X0)
| r(v2,X0)
| v1 = X0
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f792,plain,
! [X0] :
( ~ sQ117_spl
| r(v1,X0)
| r(v2,X0)
| v1 = X0
| v2 = X0 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,plain,
( sQ20_spl
| sQ117_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f775,f777,f791,f182]) ).
fof(f795,plain,
( ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f778,f26]) ).
fof(f796,plain,
~ sQ114_spl,
inference(contradiction_clause,[status(thm)],[f795]) ).
fof(f798,plain,
! [X0] :
( sQ19_spl
| r(X0,v1)
| r(X0,v3)
| v3 = v1
| X0 = v1
| X0 = v3 ),
inference(resolution,[status(thm)],[f179,f23]) ).
fof(f800,plain,
! [X0] :
( sQ19_spl
| r(X0,v1)
| r(v3,X0)
| X0 = v1
| v3 = v1
| v3 = X0 ),
inference(resolution,[status(thm)],[f179,f23]) ).
fof(f802,plain,
! [X0] :
( sQ19_spl
| r(v1,X0)
| r(v3,X0)
| v1 = X0
| v3 = X0
| v3 = v1 ),
inference(resolution,[status(thm)],[f179,f23]) ).
fof(f803,plain,
( sQ19_spl
| ~ r(v1,v3) ),
inference(resolution,[status(thm)],[f179,f19]) ).
fof(f804,definition,
( sQ118_spl
<=> v3 = v1 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( ~ sQ118_spl
| v3 = v1 ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f808,definition,
! [X0] :
( sQ119_spl
<=> ( r(X0,v1)
| r(X0,v3)
| X0 = v1
| X0 = v3 ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f809,plain,
! [X0] :
( ~ sQ119_spl
| r(X0,v1)
| r(X0,v3)
| X0 = v1
| X0 = v3 ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f811,plain,
( sQ19_spl
| sQ118_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f798,f808,f804,f177]) ).
fof(f813,definition,
! [X0] :
( sQ120_spl
<=> ( r(X0,v1)
| r(v3,X0)
| X0 = v1
| v3 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( sQ19_spl
| sQ118_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f800,f813,f804,f177]) ).
fof(f818,definition,
! [X0] :
( sQ121_spl
<=> ( r(v1,X0)
| r(v3,X0)
| v1 = X0
| v3 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( sQ19_spl
| sQ121_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f802,f804,f818,f177]) ).
fof(f822,plain,
( ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f805,f28]) ).
fof(f823,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f822]) ).
fof(f827,plain,
! [X0] :
( sQ18_spl
| r(X0,v2)
| r(v3,X0)
| X0 = v2
| v3 = v2
| v3 = X0 ),
inference(resolution,[status(thm)],[f174,f23]) ).
fof(f831,definition,
( sQ122_spl
<=> v3 = v2 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f832,plain,
( ~ sQ122_spl
| v3 = v2 ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f835,definition,
! [X0] :
( sQ123_spl
<=> ( r(X0,v2)
| r(X0,v3)
| X0 = v2
| X0 = v3 ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f840,definition,
! [X0] :
( sQ124_spl
<=> ( r(X0,v2)
| r(v3,X0)
| X0 = v2
| v3 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( sQ18_spl
| sQ122_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f827,f840,f831,f172]) ).
fof(f845,definition,
! [X0] :
( sQ125_spl
<=> ( r(v2,X0)
| r(v3,X0)
| v2 = X0
| v3 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f832,f29]) ).
fof(f850,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f849]) ).
fof(f857,plain,
( sQ15_spl
| ~ r(v1,v0) ),
inference(resolution,[status(thm)],[f163,f19]) ).
fof(f861,definition,
! [X0] :
( sQ126_spl
<=> ( r(X0,v1)
| r(v0,X0)
| X0 = v1
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f868,plain,
! [X0] :
( sQ12_spl
| r(X0,v2)
| r(X0,v0)
| v0 = v2
| X0 = v2
| X0 = v0 ),
inference(resolution,[status(thm)],[f152,f23]) ).
fof(f870,plain,
! [X0] :
( sQ12_spl
| r(X0,v2)
| r(v0,X0)
| X0 = v2
| v0 = v2
| v0 = X0 ),
inference(resolution,[status(thm)],[f152,f23]) ).
fof(f872,plain,
! [X0] :
( sQ12_spl
| r(v2,X0)
| r(v0,X0)
| v2 = X0
| v0 = X0
| v0 = v2 ),
inference(resolution,[status(thm)],[f152,f23]) ).
fof(f873,plain,
( sQ12_spl
| ~ r(v2,v0) ),
inference(resolution,[status(thm)],[f152,f19]) ).
fof(f875,plain,
( sQ12_spl
| sQ106_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f868,f727,f723,f150]) ).
fof(f877,definition,
! [X0] :
( sQ127_spl
<=> ( r(X0,v2)
| r(v0,X0)
| X0 = v2
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f878,plain,
! [X0] :
( ~ sQ127_spl
| r(X0,v2)
| r(v0,X0)
| X0 = v2
| v0 = X0 ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f880,plain,
( sQ12_spl
| sQ106_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f870,f877,f723,f150]) ).
fof(f882,plain,
( sQ12_spl
| sQ109_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f872,f723,f737,f150]) ).
fof(f884,plain,
! [X0] :
( sQ10_spl
| r(X0,v3)
| r(X0,v0)
| v0 = v3
| X0 = v3
| X0 = v0 ),
inference(resolution,[status(thm)],[f144,f23]) ).
fof(f886,plain,
! [X0] :
( sQ10_spl
| r(X0,v3)
| r(v0,X0)
| X0 = v3
| v0 = v3
| v0 = X0 ),
inference(resolution,[status(thm)],[f144,f23]) ).
fof(f888,plain,
! [X0] :
( sQ10_spl
| r(v3,X0)
| r(v0,X0)
| v3 = X0
| v0 = X0
| v0 = v3 ),
inference(resolution,[status(thm)],[f144,f23]) ).
fof(f891,plain,
( sQ10_spl
| sQ110_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f884,f754,f750,f142]) ).
fof(f893,definition,
! [X0] :
( sQ128_spl
<=> ( r(X0,v3)
| r(v0,X0)
| X0 = v3
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f896,plain,
( sQ10_spl
| sQ110_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f886,f893,f750,f142]) ).
fof(f898,plain,
( sQ10_spl
| sQ113_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f888,f750,f764,f142]) ).
fof(f901,plain,
( sQ7_spl
| r(v2,v2)
| v2 = v2
| v1 = v2
| v1 = v2 ),
inference(resolution,[status(thm)],[f133,f23]) ).
fof(f902,plain,
! [X0] :
( sQ7_spl
| r(X0,v2)
| r(v1,X0)
| X0 = v2
| v1 = v2
| v1 = X0 ),
inference(resolution,[status(thm)],[f133,f23]) ).
fof(f904,plain,
! [X0] :
( sQ7_spl
| r(v2,X0)
| r(v1,X0)
| v2 = X0
| v1 = X0
| v1 = v2 ),
inference(resolution,[status(thm)],[f133,f23]) ).
fof(f905,plain,
( sQ7_spl
| ~ r(v2,v1) ),
inference(resolution,[status(thm)],[f133,f19]) ).
fof(f908,plain,
( sQ7_spl
| sQ8_spl
| sQ6_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f901,f777,f128,f134,f131]) ).
fof(f909,definition,
! [X0] :
( sQ129_spl
<=> ( r(X0,v2)
| r(v1,X0)
| X0 = v2
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( sQ7_spl
| sQ114_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f902,f909,f777,f131]) ).
fof(f914,plain,
( sQ7_spl
| sQ117_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f904,f777,f791,f131]) ).
fof(f916,plain,
! [X0] :
( sQ4_spl
| r(X0,v3)
| r(X0,v1)
| v1 = v3
| X0 = v3
| X0 = v1 ),
inference(resolution,[status(thm)],[f122,f23]) ).
fof(f917,plain,
( sQ4_spl
| r(v3,v3)
| v3 = v3
| v1 = v3
| v1 = v3 ),
inference(resolution,[status(thm)],[f122,f23]) ).
fof(f918,plain,
! [X0] :
( sQ4_spl
| r(X0,v3)
| r(v1,X0)
| X0 = v3
| v1 = v3
| v1 = X0 ),
inference(resolution,[status(thm)],[f122,f23]) ).
fof(f920,plain,
! [X0] :
( sQ4_spl
| r(v3,X0)
| r(v1,X0)
| v3 = X0
| v1 = X0
| v1 = v3 ),
inference(resolution,[status(thm)],[f122,f23]) ).
fof(f923,plain,
( sQ4_spl
| sQ118_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f916,f808,f804,f120]) ).
fof(f924,plain,
( sQ4_spl
| sQ2_spl
| sQ0_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f917,f804,f106,f112,f120]) ).
fof(f925,definition,
! [X0] :
( sQ130_spl
<=> ( r(X0,v3)
| r(v1,X0)
| X0 = v3
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( sQ4_spl
| sQ118_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f918,f925,f804,f120]) ).
fof(f930,plain,
( sQ4_spl
| sQ121_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f920,f804,f818,f120]) ).
fof(f932,plain,
! [X0] :
( sQ1_spl
| r(X0,v3)
| r(X0,v2)
| v2 = v3
| X0 = v3
| X0 = v2 ),
inference(resolution,[status(thm)],[f111,f23]) ).
fof(f933,plain,
( sQ1_spl
| r(v3,v3)
| v3 = v3
| v2 = v3
| v2 = v3 ),
inference(resolution,[status(thm)],[f111,f23]) ).
fof(f934,plain,
! [X0] :
( sQ1_spl
| r(X0,v3)
| r(v2,X0)
| X0 = v3
| v2 = v3
| v2 = X0 ),
inference(resolution,[status(thm)],[f111,f23]) ).
fof(f936,plain,
! [X0] :
( sQ1_spl
| r(v3,X0)
| r(v2,X0)
| v3 = X0
| v2 = X0
| v2 = v3 ),
inference(resolution,[status(thm)],[f111,f23]) ).
fof(f937,plain,
( sQ1_spl
| ~ r(v3,v2) ),
inference(resolution,[status(thm)],[f111,f19]) ).
fof(f939,plain,
( sQ1_spl
| sQ122_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f932,f835,f831,f109]) ).
fof(f940,plain,
( sQ1_spl
| sQ2_spl
| sQ0_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f933,f831,f106,f112,f109]) ).
fof(f941,definition,
! [X0] :
( sQ131_spl
<=> ( r(X0,v3)
| r(v2,X0)
| X0 = v3
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( sQ1_spl
| sQ122_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f934,f941,f831,f109]) ).
fof(f946,plain,
( sQ1_spl
| sQ125_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f936,f831,f845,f109]) ).
fof(f948,plain,
! [X0] :
( sQ45_spl
| r(X0,v0)
| r(X0,v4)
| v4 = v0
| X0 = v0
| X0 = v4 ),
inference(resolution,[status(thm)],[f315,f23]) ).
fof(f950,plain,
! [X0] :
( sQ45_spl
| r(X0,v0)
| r(v4,X0)
| X0 = v0
| v4 = v0
| v4 = X0 ),
inference(resolution,[status(thm)],[f315,f23]) ).
fof(f952,plain,
! [X0] :
( sQ45_spl
| r(v0,X0)
| r(v4,X0)
| v0 = X0
| v4 = X0
| v4 = v0 ),
inference(resolution,[status(thm)],[f315,f23]) ).
fof(f954,definition,
( sQ132_spl
<=> v4 = v0 ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( ~ sQ132_spl
| v4 = v0 ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f958,definition,
! [X0] :
( sQ133_spl
<=> ( r(X0,v0)
| r(X0,v4)
| X0 = v0
| X0 = v4 ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f961,plain,
( sQ45_spl
| sQ132_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f948,f958,f954,f313]) ).
fof(f963,definition,
! [X0] :
( sQ134_spl
<=> ( r(X0,v0)
| r(v4,X0)
| X0 = v0
| v4 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( sQ45_spl
| sQ132_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f950,f963,f954,f313]) ).
fof(f968,definition,
! [X0] :
( sQ135_spl
<=> ( r(v0,X0)
| r(v4,X0)
| v0 = X0
| v4 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( sQ45_spl
| sQ135_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f952,f954,f968,f313]) ).
fof(f972,plain,
( ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f955,f30]) ).
fof(f973,plain,
~ sQ132_spl,
inference(contradiction_clause,[status(thm)],[f972]) ).
fof(f975,plain,
! [X0] :
( sQ47_spl
| r(X0,v4)
| r(X0,v0)
| v0 = v4
| X0 = v4
| X0 = v0 ),
inference(resolution,[status(thm)],[f321,f23]) ).
fof(f977,plain,
! [X0] :
( sQ47_spl
| r(X0,v4)
| r(v0,X0)
| X0 = v4
| v0 = v4
| v0 = X0 ),
inference(resolution,[status(thm)],[f321,f23]) ).
fof(f979,plain,
! [X0] :
( sQ47_spl
| r(v4,X0)
| r(v0,X0)
| v4 = X0
| v0 = X0
| v0 = v4 ),
inference(resolution,[status(thm)],[f321,f23]) ).
fof(f980,plain,
( sQ47_spl
| ~ r(v4,v0) ),
inference(resolution,[status(thm)],[f321,f19]) ).
fof(f982,plain,
( sQ47_spl
| sQ132_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f975,f958,f954,f319]) ).
fof(f984,definition,
! [X0] :
( sQ136_spl
<=> ( r(X0,v4)
| r(v0,X0)
| X0 = v4
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( sQ47_spl
| sQ132_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f977,f984,f954,f319]) ).
fof(f989,plain,
( sQ47_spl
| sQ135_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f979,f954,f968,f319]) ).
fof(f993,plain,
! [X0] :
( sQ52_spl
| r(X0,v1)
| r(v4,X0)
| X0 = v1
| v4 = v1
| v4 = X0 ),
inference(resolution,[status(thm)],[f360,f23]) ).
fof(f997,definition,
( sQ137_spl
<=> v4 = v1 ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f998,plain,
( ~ sQ137_spl
| v4 = v1 ),
inference(component_clause,[status(thm)],[f997]) ).
fof(f1001,definition,
! [X0] :
( sQ138_spl
<=> ( r(X0,v1)
| r(X0,v4)
| X0 = v1
| X0 = v4 ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1006,definition,
! [X0] :
( sQ139_spl
<=> ( r(X0,v1)
| r(v4,X0)
| X0 = v1
| v4 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1009,plain,
( sQ52_spl
| sQ137_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f993,f1006,f997,f358]) ).
fof(f1011,definition,
! [X0] :
( sQ140_spl
<=> ( r(v1,X0)
| r(v4,X0)
| v1 = X0
| v4 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
( ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f998,f31]) ).
fof(f1016,plain,
~ sQ137_spl,
inference(contradiction_clause,[status(thm)],[f1015]) ).
fof(f1018,plain,
! [X0] :
( sQ53_spl
| r(X0,v4)
| r(X0,v1)
| v1 = v4
| X0 = v4
| X0 = v1 ),
inference(resolution,[status(thm)],[f363,f23]) ).
fof(f1020,plain,
! [X0] :
( sQ53_spl
| r(X0,v4)
| r(v1,X0)
| X0 = v4
| v1 = v4
| v1 = X0 ),
inference(resolution,[status(thm)],[f363,f23]) ).
fof(f1022,plain,
! [X0] :
( sQ53_spl
| r(v4,X0)
| r(v1,X0)
| v4 = X0
| v1 = X0
| v1 = v4 ),
inference(resolution,[status(thm)],[f363,f23]) ).
fof(f1025,plain,
( sQ53_spl
| sQ137_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1018,f1001,f997,f361]) ).
fof(f1027,definition,
! [X0] :
( sQ141_spl
<=> ( r(X0,v4)
| r(v1,X0)
| X0 = v4
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
( sQ53_spl
| sQ137_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1020,f1027,f997,f361]) ).
fof(f1032,plain,
( sQ53_spl
| sQ140_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1022,f997,f1011,f361]) ).
fof(f1033,plain,
( sQ58_spl
| r(v4,v4)
| v4 = v2
| v4 = v2
| v4 = v4 ),
inference(resolution,[status(thm)],[f402,f23]) ).
fof(f1034,plain,
! [X0] :
( sQ58_spl
| r(X0,v2)
| r(X0,v4)
| v4 = v2
| X0 = v2
| X0 = v4 ),
inference(resolution,[status(thm)],[f402,f23]) ).
fof(f1036,plain,
! [X0] :
( sQ58_spl
| r(X0,v2)
| r(v4,X0)
| X0 = v2
| v4 = v2
| v4 = X0 ),
inference(resolution,[status(thm)],[f402,f23]) ).
fof(f1038,plain,
! [X0] :
( sQ58_spl
| r(v2,X0)
| r(v4,X0)
| v2 = X0
| v4 = X0
| v4 = v2 ),
inference(resolution,[status(thm)],[f402,f23]) ).
fof(f1039,plain,
( sQ58_spl
| ~ r(v2,v4) ),
inference(resolution,[status(thm)],[f402,f19]) ).
fof(f1040,definition,
( sQ142_spl
<=> v4 = v2 ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1041,plain,
( ~ sQ142_spl
| v4 = v2 ),
inference(component_clause,[status(thm)],[f1040]) ).
fof(f1043,plain,
( sQ58_spl
| sQ46_spl
| sQ142_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f1033,f310,f1040,f316,f400]) ).
fof(f1044,definition,
! [X0] :
( sQ143_spl
<=> ( r(X0,v2)
| r(X0,v4)
| X0 = v2
| X0 = v4 ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
( sQ58_spl
| sQ142_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1034,f1044,f1040,f400]) ).
fof(f1049,definition,
! [X0] :
( sQ144_spl
<=> ( r(X0,v2)
| r(v4,X0)
| X0 = v2
| v4 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
( sQ58_spl
| sQ142_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1036,f1049,f1040,f400]) ).
fof(f1054,definition,
! [X0] :
( sQ145_spl
<=> ( r(v2,X0)
| r(v4,X0)
| v2 = X0
| v4 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( sQ58_spl
| sQ145_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1038,f1040,f1054,f400]) ).
fof(f1058,plain,
( ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1041,f32]) ).
fof(f1059,plain,
~ sQ142_spl,
inference(contradiction_clause,[status(thm)],[f1058]) ).
fof(f1060,plain,
( sQ59_spl
| r(v2,v2)
| v2 = v4
| v2 = v4
| v2 = v2 ),
inference(resolution,[status(thm)],[f405,f23]) ).
fof(f1061,plain,
! [X0] :
( sQ59_spl
| r(X0,v4)
| r(X0,v2)
| v2 = v4
| X0 = v4
| X0 = v2 ),
inference(resolution,[status(thm)],[f405,f23]) ).
fof(f1063,plain,
! [X0] :
( sQ59_spl
| r(X0,v4)
| r(v2,X0)
| X0 = v4
| v2 = v4
| v2 = X0 ),
inference(resolution,[status(thm)],[f405,f23]) ).
fof(f1065,plain,
! [X0] :
( sQ59_spl
| r(v4,X0)
| r(v2,X0)
| v4 = X0
| v2 = X0
| v2 = v4 ),
inference(resolution,[status(thm)],[f405,f23]) ).
fof(f1066,plain,
( sQ59_spl
| ~ r(v4,v2) ),
inference(resolution,[status(thm)],[f405,f19]) ).
fof(f1067,plain,
( sQ59_spl
| sQ8_spl
| sQ142_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f1060,f128,f1040,f134,f403]) ).
fof(f1068,plain,
( sQ59_spl
| sQ142_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1061,f1044,f1040,f403]) ).
fof(f1070,definition,
! [X0] :
( sQ146_spl
<=> ( r(X0,v4)
| r(v2,X0)
| X0 = v4
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( sQ59_spl
| sQ142_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1063,f1070,f1040,f403]) ).
fof(f1075,plain,
( sQ59_spl
| sQ145_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1065,f1040,f1054,f403]) ).
fof(f1077,plain,
! [X0] :
( sQ64_spl
| r(X0,v3)
| r(X0,v4)
| v4 = v3
| X0 = v3
| X0 = v4 ),
inference(resolution,[status(thm)],[f445,f23]) ).
fof(f1083,definition,
( sQ147_spl
<=> v4 = v3 ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1084,plain,
( ~ sQ147_spl
| v4 = v3 ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1087,definition,
! [X0] :
( sQ148_spl
<=> ( r(X0,v3)
| r(X0,v4)
| X0 = v3
| X0 = v4 ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1088,plain,
! [X0] :
( ~ sQ148_spl
| r(X0,v3)
| r(X0,v4)
| X0 = v3
| X0 = v4 ),
inference(component_clause,[status(thm)],[f1087]) ).
fof(f1090,plain,
( sQ64_spl
| sQ147_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1077,f1087,f1083,f443]) ).
fof(f1101,plain,
( ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1084,f33]) ).
fof(f1102,plain,
~ sQ147_spl,
inference(contradiction_clause,[status(thm)],[f1101]) ).
fof(f1104,plain,
! [X0] :
( sQ65_spl
| r(X0,v4)
| r(X0,v3)
| v3 = v4
| X0 = v4
| X0 = v3 ),
inference(resolution,[status(thm)],[f448,f23]) ).
fof(f1111,plain,
( sQ65_spl
| sQ147_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1104,f1087,f1083,f446]) ).
fof(f1119,plain,
( sQ71_spl
| r(v5,v5)
| v5 = v0
| v5 = v0
| v5 = v5 ),
inference(resolution,[status(thm)],[f490,f23]) ).
fof(f1120,plain,
! [X0] :
( sQ71_spl
| r(X0,v0)
| r(X0,v5)
| v5 = v0
| X0 = v0
| X0 = v5 ),
inference(resolution,[status(thm)],[f490,f23]) ).
fof(f1125,plain,
( sQ71_spl
| ~ r(v0,v5) ),
inference(resolution,[status(thm)],[f490,f19]) ).
fof(f1126,definition,
( sQ152_spl
<=> v5 = v0 ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
( ~ sQ152_spl
| v5 = v0 ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1129,plain,
( sQ71_spl
| sQ72_spl
| sQ152_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f1119,f485,f1126,f491,f488]) ).
fof(f1130,definition,
! [X0] :
( sQ153_spl
<=> ( r(X0,v0)
| r(X0,v5)
| X0 = v0
| X0 = v5 ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1131,plain,
! [X0] :
( ~ sQ153_spl
| r(X0,v0)
| r(X0,v5)
| X0 = v0
| X0 = v5 ),
inference(component_clause,[status(thm)],[f1130]) ).
fof(f1133,plain,
( sQ71_spl
| sQ152_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1120,f1130,f1126,f488]) ).
fof(f1135,definition,
! [X0] :
( sQ154_spl
<=> ( r(X0,v0)
| r(v5,X0)
| X0 = v0
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1140,definition,
! [X0] :
( sQ155_spl
<=> ( r(v0,X0)
| r(v5,X0)
| v0 = X0
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( ~ sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1127,f34]) ).
fof(f1145,plain,
~ sQ152_spl,
inference(contradiction_clause,[status(thm)],[f1144]) ).
fof(f1146,plain,
( sQ73_spl
| r(v0,v0)
| v0 = v5
| v0 = v5
| v0 = v0 ),
inference(resolution,[status(thm)],[f496,f23]) ).
fof(f1147,plain,
! [X0] :
( sQ73_spl
| r(X0,v5)
| r(X0,v0)
| v0 = v5
| X0 = v5
| X0 = v0 ),
inference(resolution,[status(thm)],[f496,f23]) ).
fof(f1149,plain,
! [X0] :
( sQ73_spl
| r(X0,v5)
| r(v0,X0)
| X0 = v5
| v0 = v5
| v0 = X0 ),
inference(resolution,[status(thm)],[f496,f23]) ).
fof(f1151,plain,
! [X0] :
( sQ73_spl
| r(v5,X0)
| r(v0,X0)
| v5 = X0
| v0 = X0
| v0 = v5 ),
inference(resolution,[status(thm)],[f496,f23]) ).
fof(f1152,plain,
( sQ73_spl
| ~ r(v5,v0) ),
inference(resolution,[status(thm)],[f496,f19]) ).
fof(f1153,plain,
( sQ73_spl
| sQ23_spl
| sQ152_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1146,f187,f1126,f193,f494]) ).
fof(f1154,plain,
( sQ73_spl
| sQ152_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1147,f1130,f1126,f494]) ).
fof(f1156,definition,
! [X0] :
( sQ156_spl
<=> ( r(X0,v5)
| r(v0,X0)
| X0 = v5
| v0 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1159,plain,
( sQ73_spl
| sQ152_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1149,f1156,f1126,f494]) ).
fof(f1161,plain,
( sQ73_spl
| sQ155_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1151,f1126,f1140,f494]) ).
fof(f1163,plain,
! [X0] :
( sQ78_spl
| r(X0,v1)
| r(X0,v5)
| v5 = v1
| X0 = v1
| X0 = v5 ),
inference(resolution,[status(thm)],[f535,f23]) ).
fof(f1165,plain,
! [X0] :
( sQ78_spl
| r(X0,v1)
| r(v5,X0)
| X0 = v1
| v5 = v1
| v5 = X0 ),
inference(resolution,[status(thm)],[f535,f23]) ).
fof(f1168,plain,
( sQ78_spl
| ~ r(v1,v5) ),
inference(resolution,[status(thm)],[f535,f19]) ).
fof(f1169,definition,
( sQ157_spl
<=> v5 = v1 ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1170,plain,
( ~ sQ157_spl
| v5 = v1 ),
inference(component_clause,[status(thm)],[f1169]) ).
fof(f1173,definition,
! [X0] :
( sQ158_spl
<=> ( r(X0,v1)
| r(X0,v5)
| X0 = v1
| X0 = v5 ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ158_spl
| r(X0,v1)
| r(X0,v5)
| X0 = v1
| X0 = v5 ),
inference(component_clause,[status(thm)],[f1173]) ).
fof(f1176,plain,
( sQ78_spl
| sQ157_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1163,f1173,f1169,f533]) ).
fof(f1178,definition,
! [X0] :
( sQ159_spl
<=> ( r(X0,v1)
| r(v5,X0)
| X0 = v1
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ159_spl
| r(X0,v1)
| r(v5,X0)
| X0 = v1
| v5 = X0 ),
inference(component_clause,[status(thm)],[f1178]) ).
fof(f1181,plain,
( sQ78_spl
| sQ157_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1165,f1178,f1169,f533]) ).
fof(f1183,definition,
! [X0] :
( sQ160_spl
<=> ( r(v1,X0)
| r(v5,X0)
| v1 = X0
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ160_spl
| r(v1,X0)
| r(v5,X0)
| v1 = X0
| v5 = X0 ),
inference(component_clause,[status(thm)],[f1183]) ).
fof(f1187,plain,
( ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1170,f35]) ).
fof(f1188,plain,
~ sQ157_spl,
inference(contradiction_clause,[status(thm)],[f1187]) ).
fof(f1190,plain,
! [X0] :
( sQ79_spl
| r(X0,v5)
| r(X0,v1)
| v1 = v5
| X0 = v5
| X0 = v1 ),
inference(resolution,[status(thm)],[f538,f23]) ).
fof(f1191,plain,
( sQ79_spl
| r(v5,v5)
| v5 = v5
| v1 = v5
| v1 = v5 ),
inference(resolution,[status(thm)],[f538,f23]) ).
fof(f1192,plain,
! [X0] :
( sQ79_spl
| r(X0,v5)
| r(v1,X0)
| X0 = v5
| v1 = v5
| v1 = X0 ),
inference(resolution,[status(thm)],[f538,f23]) ).
fof(f1194,plain,
! [X0] :
( sQ79_spl
| r(v5,X0)
| r(v1,X0)
| v5 = X0
| v1 = X0
| v1 = v5 ),
inference(resolution,[status(thm)],[f538,f23]) ).
fof(f1195,plain,
( sQ79_spl
| ~ r(v5,v1) ),
inference(resolution,[status(thm)],[f538,f19]) ).
fof(f1197,plain,
( sQ79_spl
| sQ157_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1190,f1173,f1169,f536]) ).
fof(f1198,plain,
( sQ79_spl
| sQ72_spl
| sQ70_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1191,f1169,f485,f491,f536]) ).
fof(f1199,definition,
! [X0] :
( sQ161_spl
<=> ( r(X0,v5)
| r(v1,X0)
| X0 = v5
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1202,plain,
( sQ79_spl
| sQ157_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f1192,f1199,f1169,f536]) ).
fof(f1204,plain,
( sQ79_spl
| sQ160_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1194,f1169,f1183,f536]) ).
fof(f1206,plain,
! [X0] :
( sQ84_spl
| r(X0,v2)
| r(X0,v5)
| v5 = v2
| X0 = v2
| X0 = v5 ),
inference(resolution,[status(thm)],[f577,f23]) ).
fof(f1208,plain,
! [X0] :
( sQ84_spl
| r(X0,v2)
| r(v5,X0)
| X0 = v2
| v5 = v2
| v5 = X0 ),
inference(resolution,[status(thm)],[f577,f23]) ).
fof(f1210,plain,
! [X0] :
( sQ84_spl
| r(v2,X0)
| r(v5,X0)
| v2 = X0
| v5 = X0
| v5 = v2 ),
inference(resolution,[status(thm)],[f577,f23]) ).
fof(f1211,plain,
( sQ84_spl
| ~ r(v2,v5) ),
inference(resolution,[status(thm)],[f577,f19]) ).
fof(f1212,definition,
( sQ162_spl
<=> v5 = v2 ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1213,plain,
( ~ sQ162_spl
| v5 = v2 ),
inference(component_clause,[status(thm)],[f1212]) ).
fof(f1216,definition,
! [X0] :
( sQ163_spl
<=> ( r(X0,v2)
| r(X0,v5)
| X0 = v2
| X0 = v5 ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1217,plain,
! [X0] :
( ~ sQ163_spl
| r(X0,v2)
| r(X0,v5)
| X0 = v2
| X0 = v5 ),
inference(component_clause,[status(thm)],[f1216]) ).
fof(f1219,plain,
( sQ84_spl
| sQ162_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1206,f1216,f1212,f575]) ).
fof(f1221,definition,
! [X0] :
( sQ164_spl
<=> ( r(X0,v2)
| r(v5,X0)
| X0 = v2
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ164_spl
| r(X0,v2)
| r(v5,X0)
| X0 = v2
| v5 = X0 ),
inference(component_clause,[status(thm)],[f1221]) ).
fof(f1224,plain,
( sQ84_spl
| sQ162_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1208,f1221,f1212,f575]) ).
fof(f1226,definition,
! [X0] :
( sQ165_spl
<=> ( r(v2,X0)
| r(v5,X0)
| v2 = X0
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ165_spl
| r(v2,X0)
| r(v5,X0)
| v2 = X0
| v5 = X0 ),
inference(component_clause,[status(thm)],[f1226]) ).
fof(f1229,plain,
( sQ84_spl
| sQ165_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1210,f1212,f1226,f575]) ).
fof(f1230,plain,
( ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1213,f36]) ).
fof(f1231,plain,
~ sQ162_spl,
inference(contradiction_clause,[status(thm)],[f1230]) ).
fof(f1232,plain,
( sQ85_spl
| r(v2,v2)
| v2 = v5
| v2 = v5
| v2 = v2 ),
inference(resolution,[status(thm)],[f580,f23]) ).
fof(f1233,plain,
! [X0] :
( sQ85_spl
| r(X0,v5)
| r(X0,v2)
| v2 = v5
| X0 = v5
| X0 = v2 ),
inference(resolution,[status(thm)],[f580,f23]) ).
fof(f1234,plain,
( sQ85_spl
| r(v5,v5)
| v5 = v5
| v2 = v5
| v2 = v5 ),
inference(resolution,[status(thm)],[f580,f23]) ).
fof(f1235,plain,
! [X0] :
( sQ85_spl
| r(X0,v5)
| r(v2,X0)
| X0 = v5
| v2 = v5
| v2 = X0 ),
inference(resolution,[status(thm)],[f580,f23]) ).
fof(f1237,plain,
! [X0] :
( sQ85_spl
| r(v5,X0)
| r(v2,X0)
| v5 = X0
| v2 = X0
| v2 = v5 ),
inference(resolution,[status(thm)],[f580,f23]) ).
fof(f1238,plain,
( sQ85_spl
| ~ r(v5,v2) ),
inference(resolution,[status(thm)],[f580,f19]) ).
fof(f1239,plain,
( sQ85_spl
| sQ8_spl
| sQ162_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f1232,f128,f1212,f134,f578]) ).
fof(f1240,plain,
( sQ85_spl
| sQ162_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1233,f1216,f1212,f578]) ).
fof(f1241,plain,
( sQ85_spl
| sQ72_spl
| sQ70_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1234,f1212,f485,f491,f578]) ).
fof(f1242,definition,
! [X0] :
( sQ166_spl
<=> ( r(X0,v5)
| r(v2,X0)
| X0 = v5
| v2 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1243,plain,
! [X0] :
( ~ sQ166_spl
| r(X0,v5)
| r(v2,X0)
| X0 = v5
| v2 = X0 ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1245,plain,
( sQ85_spl
| sQ162_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1235,f1242,f1212,f578]) ).
fof(f1247,plain,
( sQ85_spl
| sQ165_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1237,f1212,f1226,f578]) ).
fof(f1249,plain,
! [X0] :
( sQ90_spl
| r(X0,v3)
| r(X0,v5)
| v5 = v3
| X0 = v3
| X0 = v5 ),
inference(resolution,[status(thm)],[f619,f23]) ).
fof(f1255,definition,
( sQ167_spl
<=> v5 = v3 ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1256,plain,
( ~ sQ167_spl
| v5 = v3 ),
inference(component_clause,[status(thm)],[f1255]) ).
fof(f1259,definition,
! [X0] :
( sQ168_spl
<=> ( r(X0,v3)
| r(X0,v5)
| X0 = v3
| X0 = v5 ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1260,plain,
! [X0] :
( ~ sQ168_spl
| r(X0,v3)
| r(X0,v5)
| X0 = v3
| X0 = v5 ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1262,plain,
( sQ90_spl
| sQ167_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1249,f1259,f1255,f617]) ).
fof(f1264,definition,
! [X0] :
( sQ169_spl
<=> ( r(X0,v3)
| r(v5,X0)
| X0 = v3
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1269,definition,
! [X0] :
( sQ170_spl
<=> ( r(v3,X0)
| r(v5,X0)
| v3 = X0
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1273,plain,
( ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1256,f37]) ).
fof(f1274,plain,
~ sQ167_spl,
inference(contradiction_clause,[status(thm)],[f1273]) ).
fof(f1276,plain,
! [X0] :
( sQ91_spl
| r(X0,v5)
| r(X0,v3)
| v3 = v5
| X0 = v5
| X0 = v3 ),
inference(resolution,[status(thm)],[f622,f23]) ).
fof(f1278,plain,
! [X0] :
( sQ91_spl
| r(X0,v5)
| r(v3,X0)
| X0 = v5
| v3 = v5
| v3 = X0 ),
inference(resolution,[status(thm)],[f622,f23]) ).
fof(f1280,plain,
! [X0] :
( sQ91_spl
| r(v5,X0)
| r(v3,X0)
| v5 = X0
| v3 = X0
| v3 = v5 ),
inference(resolution,[status(thm)],[f622,f23]) ).
fof(f1281,plain,
( sQ91_spl
| ~ r(v5,v3) ),
inference(resolution,[status(thm)],[f622,f19]) ).
fof(f1283,plain,
( sQ91_spl
| sQ167_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1276,f1259,f1255,f620]) ).
fof(f1285,definition,
! [X0] :
( sQ171_spl
<=> ( r(X0,v5)
| r(v3,X0)
| X0 = v5
| v3 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1288,plain,
( sQ91_spl
| sQ167_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1278,f1285,f1255,f620]) ).
fof(f1290,plain,
( sQ91_spl
| sQ170_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1280,f1255,f1269,f620]) ).
fof(f1292,plain,
! [X0] :
( sQ96_spl
| r(X0,v4)
| r(X0,v5)
| v5 = v4
| X0 = v4
| X0 = v5 ),
inference(resolution,[status(thm)],[f661,f23]) ).
fof(f1294,plain,
! [X0] :
( sQ96_spl
| r(X0,v4)
| r(v5,X0)
| X0 = v4
| v5 = v4
| v5 = X0 ),
inference(resolution,[status(thm)],[f661,f23]) ).
fof(f1296,plain,
! [X0] :
( sQ96_spl
| r(v4,X0)
| r(v5,X0)
| v4 = X0
| v5 = X0
| v5 = v4 ),
inference(resolution,[status(thm)],[f661,f23]) ).
fof(f1297,plain,
( sQ96_spl
| ~ r(v4,v5) ),
inference(resolution,[status(thm)],[f661,f19]) ).
fof(f1298,definition,
( sQ172_spl
<=> v5 = v4 ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1299,plain,
( ~ sQ172_spl
| v5 = v4 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1302,definition,
! [X0] :
( sQ173_spl
<=> ( r(X0,v4)
| r(X0,v5)
| X0 = v4
| X0 = v5 ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1305,plain,
( sQ96_spl
| sQ172_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1292,f1302,f1298,f659]) ).
fof(f1307,definition,
! [X0] :
( sQ174_spl
<=> ( r(X0,v4)
| r(v5,X0)
| X0 = v4
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1310,plain,
( sQ96_spl
| sQ172_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1294,f1307,f1298,f659]) ).
fof(f1312,definition,
! [X0] :
( sQ175_spl
<=> ( r(v4,X0)
| r(v5,X0)
| v4 = X0
| v5 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1315,plain,
( sQ96_spl
| sQ175_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1296,f1298,f1312,f659]) ).
fof(f1316,plain,
( ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1299,f38]) ).
fof(f1317,plain,
~ sQ172_spl,
inference(contradiction_clause,[status(thm)],[f1316]) ).
fof(f1321,plain,
! [X0] :
( sQ97_spl
| r(X0,v5)
| r(v4,X0)
| X0 = v5
| v4 = v5
| v4 = X0 ),
inference(resolution,[status(thm)],[f664,f23]) ).
fof(f1324,plain,
( sQ97_spl
| ~ r(v5,v4) ),
inference(resolution,[status(thm)],[f664,f19]) ).
fof(f1328,definition,
! [X0] :
( sQ176_spl
<=> ( r(X0,v5)
| r(v4,X0)
| X0 = v5
| v4 = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1331,plain,
( sQ97_spl
| sQ172_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1321,f1328,f1298,f662]) ).
fof(f1334,plain,
( ~ sQ17_spl
| ~ r(v1,v5)
| ~ r(v0,v5)
| v0 = v5 ),
inference(resolution,[status(thm)],[f169,f35]) ).
fof(f1335,plain,
( ~ sQ17_spl
| ~ r(v1,v4)
| ~ r(v0,v4)
| v0 = v4 ),
inference(resolution,[status(thm)],[f169,f31]) ).
fof(f1336,plain,
( ~ sQ17_spl
| ~ r(v1,v3)
| ~ r(v0,v3)
| v0 = v3 ),
inference(resolution,[status(thm)],[f169,f28]) ).
fof(f1337,plain,
( ~ sQ17_spl
| ~ r(v1,v2)
| ~ r(v0,v2)
| v0 = v2 ),
inference(resolution,[status(thm)],[f169,f26]) ).
fof(f1340,plain,
( ~ sQ17_spl
| ~ sQ79_spl
| ~ sQ73_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1334,f1126,f494,f536,f168]) ).
fof(f1341,plain,
( ~ sQ17_spl
| ~ sQ53_spl
| ~ sQ47_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1335,f954,f319,f361,f168]) ).
fof(f1342,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ10_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1336,f750,f142,f120,f168]) ).
fof(f1343,plain,
( ~ sQ17_spl
| ~ sQ7_spl
| ~ sQ12_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1337,f723,f150,f131,f168]) ).
fof(f1349,plain,
( ~ sQ13_spl
| ~ r(v2,v5)
| ~ r(v0,v5)
| v0 = v5 ),
inference(resolution,[status(thm)],[f155,f36]) ).
fof(f1350,plain,
( ~ sQ13_spl
| ~ r(v2,v4)
| ~ r(v0,v4)
| v0 = v4 ),
inference(resolution,[status(thm)],[f155,f32]) ).
fof(f1351,plain,
( ~ sQ13_spl
| ~ r(v2,v3)
| ~ r(v0,v3)
| v0 = v3 ),
inference(resolution,[status(thm)],[f155,f29]) ).
fof(f1352,plain,
( ~ sQ13_spl
| ~ r(v2,v1)
| ~ r(v0,v1)
| v0 = v1 ),
inference(resolution,[status(thm)],[f155,f26]) ).
fof(f1355,plain,
( ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1349,f1126,f494,f578,f154]) ).
fof(f1356,plain,
( ~ sQ13_spl
| ~ sQ59_spl
| ~ sQ47_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1350,f954,f319,f403,f154]) ).
fof(f1357,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ10_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1351,f750,f142,f109,f154]) ).
fof(f1358,plain,
( ~ sQ13_spl
| ~ sQ20_spl
| ~ sQ15_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1352,f696,f161,f182,f154]) ).
fof(f1377,plain,
( ~ sQ11_spl
| ~ r(v3,v5)
| ~ r(v0,v5)
| v0 = v5 ),
inference(resolution,[status(thm)],[f147,f37]) ).
fof(f1379,plain,
( ~ sQ11_spl
| ~ r(v3,v2)
| ~ r(v0,v2)
| v0 = v2 ),
inference(resolution,[status(thm)],[f147,f29]) ).
fof(f1380,plain,
( ~ sQ11_spl
| ~ r(v3,v1)
| ~ r(v0,v1)
| v0 = v1 ),
inference(resolution,[status(thm)],[f147,f28]) ).
fof(f1383,plain,
( ~ sQ11_spl
| ~ sQ91_spl
| ~ sQ73_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1377,f1126,f494,f620,f146]) ).
fof(f1385,plain,
( ~ sQ11_spl
| ~ sQ18_spl
| ~ sQ12_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1379,f723,f150,f172,f146]) ).
fof(f1386,plain,
( ~ sQ11_spl
| ~ sQ19_spl
| ~ sQ15_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1380,f696,f161,f177,f146]) ).
fof(f1405,plain,
( ~ sQ9_spl
| ~ r(v2,v5)
| ~ r(v1,v5)
| v1 = v5 ),
inference(resolution,[status(thm)],[f139,f36]) ).
fof(f1407,plain,
( ~ sQ9_spl
| ~ r(v2,v3)
| ~ r(v1,v3)
| v1 = v3 ),
inference(resolution,[status(thm)],[f139,f29]) ).
fof(f1409,plain,
( ~ sQ9_spl
| ~ r(v2,v0)
| ~ r(v1,v0)
| v1 = v0 ),
inference(resolution,[status(thm)],[f139,f25]) ).
fof(f1411,plain,
( ~ sQ9_spl
| ~ sQ85_spl
| ~ sQ79_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1405,f1169,f536,f578,f138]) ).
fof(f1413,plain,
( ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ4_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1407,f804,f120,f109,f138]) ).
fof(f1415,plain,
( ~ sQ9_spl
| ~ sQ24_spl
| ~ sQ25_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1409,f696,f203,f198,f138]) ).
fof(f1423,plain,
! [X0] :
( sQ12_spl
| r(X0,v0)
| r(v2,X0)
| X0 = v0
| v2 = v0
| v2 = X0 ),
inference(resolution,[status(thm)],[f873,f23]) ).
fof(f1430,plain,
( sQ12_spl
| sQ106_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f1423,f732,f723,f150]) ).
fof(f1433,plain,
( ~ sQ5_spl
| ~ r(v3,v5)
| ~ r(v1,v5)
| v1 = v5 ),
inference(resolution,[status(thm)],[f125,f37]) ).
fof(f1434,plain,
( ~ sQ5_spl
| ~ r(v3,v4)
| ~ r(v1,v4)
| v1 = v4 ),
inference(resolution,[status(thm)],[f125,f33]) ).
fof(f1435,plain,
( ~ sQ5_spl
| ~ r(v3,v2)
| ~ r(v1,v2)
| v1 = v2 ),
inference(resolution,[status(thm)],[f125,f29]) ).
fof(f1437,plain,
( ~ sQ5_spl
| ~ r(v3,v0)
| ~ r(v1,v0)
| v1 = v0 ),
inference(resolution,[status(thm)],[f125,f27]) ).
fof(f1439,plain,
( ~ sQ5_spl
| ~ sQ91_spl
| ~ sQ79_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1433,f1169,f536,f620,f124]) ).
fof(f1440,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| ~ sQ53_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1434,f997,f361,f446,f124]) ).
fof(f1441,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ7_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1435,f777,f131,f172,f124]) ).
fof(f1443,plain,
( ~ sQ5_spl
| ~ sQ22_spl
| ~ sQ25_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1437,f696,f203,f190,f124]) ).
fof(f1454,plain,
( sQ73_spl
| ~ r(v5,v0) ),
inference(resolution,[status(thm)],[f496,f19]) ).
fof(f1464,plain,
! [X0] :
( sQ73_spl
| r(X0,v0)
| r(v5,X0)
| X0 = v0
| v5 = v0
| v5 = X0 ),
inference(resolution,[status(thm)],[f1152,f23]) ).
fof(f1471,plain,
( sQ73_spl
| sQ152_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1464,f1135,f1126,f494]) ).
fof(f1480,plain,
( sQ47_spl
| ~ r(v4,v0) ),
inference(resolution,[status(thm)],[f321,f19]) ).
fof(f1487,plain,
( ~ sQ3_spl
| ~ r(v3,v5)
| ~ r(v2,v5)
| v2 = v5 ),
inference(resolution,[status(thm)],[f117,f37]) ).
fof(f1488,plain,
( ~ sQ3_spl
| ~ r(v3,v4)
| ~ r(v2,v4)
| v2 = v4 ),
inference(resolution,[status(thm)],[f117,f33]) ).
fof(f1490,plain,
( ~ sQ3_spl
| ~ r(v3,v1)
| ~ r(v2,v1)
| v2 = v1 ),
inference(resolution,[status(thm)],[f117,f28]) ).
fof(f1491,plain,
( ~ sQ3_spl
| ~ r(v3,v0)
| ~ r(v2,v0)
| v2 = v0 ),
inference(resolution,[status(thm)],[f117,f27]) ).
fof(f1493,plain,
( ~ sQ3_spl
| ~ sQ91_spl
| ~ sQ85_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1487,f1212,f578,f620,f116]) ).
fof(f1494,plain,
( ~ sQ3_spl
| ~ sQ65_spl
| ~ sQ59_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1488,f1040,f403,f446,f116]) ).
fof(f1496,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| ~ sQ20_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1490,f777,f182,f177,f116]) ).
fof(f1497,plain,
( ~ sQ3_spl
| ~ sQ22_spl
| ~ sQ24_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1491,f723,f198,f190,f116]) ).
fof(f1505,plain,
! [X0] :
( sQ47_spl
| r(X0,v0)
| r(v4,X0)
| X0 = v0
| v4 = v0
| v4 = X0 ),
inference(resolution,[status(thm)],[f980,f23]) ).
fof(f1512,plain,
( sQ47_spl
| sQ132_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1505,f963,f954,f319]) ).
fof(f1521,plain,
( sQ10_spl
| ~ r(v3,v0) ),
inference(resolution,[status(thm)],[f144,f19]) ).
fof(f1528,plain,
( sQ10_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1521,f190,f142]) ).
fof(f1529,plain,
( ~ sQ48_spl
| ~ r(v3,v4)
| ~ r(v3,v0)
| v3 = v0 ),
inference(resolution,[status(thm)],[f324,f33]) ).
fof(f1530,plain,
( ~ sQ48_spl
| ~ r(v2,v4)
| ~ r(v2,v0)
| v2 = v0 ),
inference(resolution,[status(thm)],[f324,f32]) ).
fof(f1531,plain,
( ~ sQ48_spl
| ~ r(v1,v4)
| ~ r(v1,v0)
| v1 = v0 ),
inference(resolution,[status(thm)],[f324,f31]) ).
fof(f1533,plain,
( ~ sQ48_spl
| ~ r(v5,v4)
| ~ r(v5,v0)
| v5 = v0 ),
inference(resolution,[status(thm)],[f324,f38]) ).
fof(f1535,plain,
( ~ sQ48_spl
| ~ sQ65_spl
| ~ sQ22_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1529,f750,f190,f446,f323]) ).
fof(f1536,plain,
( ~ sQ48_spl
| ~ sQ59_spl
| ~ sQ24_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1530,f723,f198,f403,f323]) ).
fof(f1537,plain,
( ~ sQ48_spl
| ~ sQ53_spl
| ~ sQ25_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1531,f696,f203,f361,f323]) ).
fof(f1539,plain,
( ~ sQ48_spl
| ~ sQ96_spl
| ~ sQ71_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1533,f1126,f488,f659,f323]) ).
fof(f1544,plain,
( sQ71_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f1125,f494,f488]) ).
fof(f1564,plain,
( sQ7_spl
| ~ r(v2,v1) ),
inference(resolution,[status(thm)],[f133,f19]) ).
fof(f1571,plain,
( sQ7_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1564,f182,f131]) ).
fof(f1572,plain,
( ~ sQ50_spl
| ~ r(v4,v5)
| ~ r(v0,v5)
| v0 = v5 ),
inference(resolution,[status(thm)],[f334,f38]) ).
fof(f1575,plain,
( ~ sQ50_spl
| ~ r(v4,v1)
| ~ r(v0,v1)
| v0 = v1 ),
inference(resolution,[status(thm)],[f334,f31]) ).
fof(f1578,plain,
( ~ sQ50_spl
| ~ sQ97_spl
| ~ sQ73_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1572,f1126,f494,f662,f333]) ).
fof(f1581,plain,
( ~ sQ50_spl
| ~ sQ52_spl
| ~ sQ15_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1575,f696,f161,f358,f333]) ).
fof(f1593,plain,
( sQ4_spl
| ~ r(v3,v1) ),
inference(resolution,[status(thm)],[f122,f19]) ).
fof(f1600,plain,
( sQ4_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1593,f177,f120]) ).
fof(f1617,plain,
! [X0] :
( sQ24_spl
| r(X0,v2)
| r(v0,X0)
| X0 = v2
| v0 = v2
| v0 = X0 ),
inference(resolution,[status(thm)],[f722,f23]) ).
fof(f1624,plain,
( sQ24_spl
| sQ106_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1617,f877,f723,f198]) ).
fof(f1627,plain,
( ~ sQ54_spl
| ~ r(v3,v4)
| ~ r(v3,v1)
| v3 = v1 ),
inference(resolution,[status(thm)],[f366,f33]) ).
fof(f1628,plain,
( ~ sQ54_spl
| ~ r(v2,v4)
| ~ r(v2,v1)
| v2 = v1 ),
inference(resolution,[status(thm)],[f366,f32]) ).
fof(f1630,plain,
( ~ sQ54_spl
| ~ r(v0,v4)
| ~ r(v0,v1)
| v0 = v1 ),
inference(resolution,[status(thm)],[f366,f30]) ).
fof(f1631,plain,
( ~ sQ54_spl
| ~ r(v5,v4)
| ~ r(v5,v1)
| v5 = v1 ),
inference(resolution,[status(thm)],[f366,f38]) ).
fof(f1633,plain,
( ~ sQ54_spl
| ~ sQ65_spl
| ~ sQ19_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1627,f804,f177,f446,f365]) ).
fof(f1634,plain,
( ~ sQ54_spl
| ~ sQ59_spl
| ~ sQ20_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1628,f777,f182,f403,f365]) ).
fof(f1636,plain,
( ~ sQ54_spl
| ~ sQ47_spl
| ~ sQ15_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1630,f696,f161,f319,f365]) ).
fof(f1637,plain,
( ~ sQ54_spl
| ~ sQ96_spl
| ~ sQ78_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1631,f1169,f533,f659,f365]) ).
fof(f1642,plain,
( sQ96_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f1297,f662,f659]) ).
fof(f1643,plain,
( sQ78_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f1168,f536,f533]) ).
fof(f1663,plain,
( sQ53_spl
| ~ r(v4,v1) ),
inference(resolution,[status(thm)],[f363,f19]) ).
fof(f1670,plain,
( sQ53_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1663,f358,f361]) ).
fof(f1684,plain,
( ~ sQ60_spl
| ~ r(v3,v4)
| ~ r(v3,v2)
| v3 = v2 ),
inference(resolution,[status(thm)],[f408,f33]) ).
fof(f1686,plain,
( ~ sQ60_spl
| ~ r(v1,v4)
| ~ r(v1,v2)
| v1 = v2 ),
inference(resolution,[status(thm)],[f408,f31]) ).
fof(f1687,plain,
( ~ sQ60_spl
| ~ r(v0,v4)
| ~ r(v0,v2)
| v0 = v2 ),
inference(resolution,[status(thm)],[f408,f30]) ).
fof(f1688,plain,
( ~ sQ60_spl
| ~ r(v5,v4)
| ~ r(v5,v2)
| v5 = v2 ),
inference(resolution,[status(thm)],[f408,f38]) ).
fof(f1690,plain,
( ~ sQ60_spl
| ~ sQ65_spl
| ~ sQ18_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1684,f831,f172,f446,f407]) ).
fof(f1692,plain,
( ~ sQ60_spl
| ~ sQ53_spl
| ~ sQ7_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1686,f777,f131,f361,f407]) ).
fof(f1693,plain,
( ~ sQ60_spl
| ~ sQ47_spl
| ~ sQ12_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1687,f723,f150,f319,f407]) ).
fof(f1694,plain,
( ~ sQ60_spl
| ~ sQ96_spl
| ~ sQ84_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1688,f1212,f575,f659,f407]) ).
fof(f1700,plain,
( ~ sQ62_spl
| ~ r(v4,v5)
| ~ r(v2,v5)
| v2 = v5 ),
inference(resolution,[status(thm)],[f418,f38]) ).
fof(f1701,plain,
( ~ sQ62_spl
| ~ r(v4,v3)
| ~ r(v2,v3)
| v2 = v3 ),
inference(resolution,[status(thm)],[f418,f33]) ).
fof(f1703,plain,
( ~ sQ62_spl
| ~ r(v4,v1)
| ~ r(v2,v1)
| v2 = v1 ),
inference(resolution,[status(thm)],[f418,f31]) ).
fof(f1704,plain,
( ~ sQ62_spl
| ~ r(v4,v0)
| ~ r(v2,v0)
| v2 = v0 ),
inference(resolution,[status(thm)],[f418,f30]) ).
fof(f1706,plain,
( ~ sQ62_spl
| ~ sQ97_spl
| ~ sQ85_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1700,f1212,f578,f662,f417]) ).
fof(f1707,plain,
( ~ sQ62_spl
| ~ sQ64_spl
| ~ sQ1_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1701,f831,f109,f443,f417]) ).
fof(f1709,plain,
( ~ sQ62_spl
| ~ sQ52_spl
| ~ sQ20_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1703,f777,f182,f358,f417]) ).
fof(f1710,plain,
( ~ sQ62_spl
| ~ sQ45_spl
| ~ sQ24_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1704,f723,f198,f313,f417]) ).
fof(f1741,plain,
( ~ sQ63_spl
| ~ r(v5,v2)
| ~ r(v4,v5)
| v5 = v2 ),
inference(resolution,[status(thm)],[f425,f38]) ).
fof(f1742,plain,
( ~ sQ63_spl
| ~ r(v3,v2)
| ~ r(v4,v3)
| v3 = v2 ),
inference(resolution,[status(thm)],[f425,f33]) ).
fof(f1744,plain,
( ~ sQ63_spl
| ~ r(v1,v2)
| ~ r(v4,v1)
| v1 = v2 ),
inference(resolution,[status(thm)],[f425,f31]) ).
fof(f1745,plain,
( ~ sQ63_spl
| ~ r(v0,v2)
| ~ r(v4,v0)
| v0 = v2 ),
inference(resolution,[status(thm)],[f425,f30]) ).
fof(f1747,plain,
( ~ sQ63_spl
| ~ sQ84_spl
| ~ sQ97_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1741,f1212,f662,f575,f424]) ).
fof(f1748,plain,
( ~ sQ63_spl
| ~ sQ18_spl
| ~ sQ64_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1742,f831,f443,f172,f424]) ).
fof(f1750,plain,
( ~ sQ63_spl
| ~ sQ7_spl
| ~ sQ52_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1744,f777,f358,f131,f424]) ).
fof(f1751,plain,
( ~ sQ63_spl
| ~ sQ12_spl
| ~ sQ45_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1745,f723,f313,f150,f424]) ).
fof(f1762,plain,
( sQ85_spl
| ~ r(v5,v2) ),
inference(resolution,[status(thm)],[f580,f19]) ).
fof(f1772,plain,
! [X0] :
( sQ85_spl
| r(X0,v2)
| r(v5,X0)
| X0 = v2
| v5 = v2
| v5 = X0 ),
inference(resolution,[status(thm)],[f1238,f23]) ).
fof(f1779,plain,
( sQ85_spl
| sQ162_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1772,f1221,f1212,f578]) ).
fof(f1782,plain,
( ~ sQ74_spl
| ~ r(v4,v5)
| ~ r(v4,v0)
| v4 = v0 ),
inference(resolution,[status(thm)],[f499,f38]) ).
fof(f1783,plain,
( ~ sQ74_spl
| ~ r(v3,v5)
| ~ r(v3,v0)
| v3 = v0 ),
inference(resolution,[status(thm)],[f499,f37]) ).
fof(f1784,plain,
( ~ sQ74_spl
| ~ r(v2,v5)
| ~ r(v2,v0)
| v2 = v0 ),
inference(resolution,[status(thm)],[f499,f36]) ).
fof(f1785,plain,
( ~ sQ74_spl
| ~ r(v1,v5)
| ~ r(v1,v0)
| v1 = v0 ),
inference(resolution,[status(thm)],[f499,f35]) ).
fof(f1788,plain,
( ~ sQ74_spl
| ~ sQ97_spl
| ~ sQ45_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1782,f954,f313,f662,f498]) ).
fof(f1789,plain,
( ~ sQ74_spl
| ~ sQ91_spl
| ~ sQ22_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1783,f750,f190,f620,f498]) ).
fof(f1790,plain,
( ~ sQ74_spl
| ~ sQ85_spl
| ~ sQ24_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1784,f723,f198,f578,f498]) ).
fof(f1791,plain,
( ~ sQ74_spl
| ~ sQ79_spl
| ~ sQ25_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1785,f696,f203,f536,f498]) ).
fof(f1803,plain,
( sQ20_spl
| ~ r(v1,v2) ),
inference(resolution,[status(thm)],[f184,f19]) ).
fof(f1810,plain,
( sQ20_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1803,f131,f182]) ).
fof(f1811,plain,
( sQ59_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1066,f400,f403]) ).
fof(f1838,plain,
( ~ sQ76_spl
| ~ r(v5,v4)
| ~ r(v0,v4)
| v0 = v4 ),
inference(resolution,[status(thm)],[f509,f38]) ).
fof(f1840,plain,
( ~ sQ76_spl
| ~ r(v5,v2)
| ~ r(v0,v2)
| v0 = v2 ),
inference(resolution,[status(thm)],[f509,f36]) ).
fof(f1841,plain,
( ~ sQ76_spl
| ~ r(v5,v1)
| ~ r(v0,v1)
| v0 = v1 ),
inference(resolution,[status(thm)],[f509,f35]) ).
fof(f1844,plain,
( ~ sQ76_spl
| ~ sQ96_spl
| ~ sQ47_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1838,f954,f319,f659,f508]) ).
fof(f1846,plain,
( ~ sQ76_spl
| ~ sQ84_spl
| ~ sQ12_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1840,f723,f150,f575,f508]) ).
fof(f1847,plain,
( ~ sQ76_spl
| ~ sQ78_spl
| ~ sQ15_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1841,f696,f161,f533,f508]) ).
fof(f1879,plain,
( ~ sQ80_spl
| ~ r(v4,v5)
| ~ r(v4,v1)
| v4 = v1 ),
inference(resolution,[status(thm)],[f541,f38]) ).
fof(f1881,plain,
( ~ sQ80_spl
| ~ r(v2,v5)
| ~ r(v2,v1)
| v2 = v1 ),
inference(resolution,[status(thm)],[f541,f36]) ).
fof(f1883,plain,
( ~ sQ80_spl
| ~ r(v0,v5)
| ~ r(v0,v1)
| v0 = v1 ),
inference(resolution,[status(thm)],[f541,f34]) ).
fof(f1885,plain,
( ~ sQ80_spl
| ~ sQ97_spl
| ~ sQ52_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1879,f997,f358,f662,f540]) ).
fof(f1887,plain,
( ~ sQ80_spl
| ~ sQ85_spl
| ~ sQ20_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1881,f777,f182,f578,f540]) ).
fof(f1889,plain,
( ~ sQ80_spl
| ~ sQ73_spl
| ~ sQ15_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1883,f696,f161,f494,f540]) ).
fof(f1897,plain,
! [X0] :
( sQ19_spl
| r(X0,v3)
| r(v1,X0)
| X0 = v3
| v1 = v3
| v1 = X0 ),
inference(resolution,[status(thm)],[f803,f23]) ).
fof(f1904,plain,
( sQ19_spl
| sQ118_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1897,f925,f804,f177]) ).
fof(f1907,plain,
( ~ sQ82_spl
| ~ r(v5,v4)
| ~ r(v1,v4)
| v1 = v4 ),
inference(resolution,[status(thm)],[f551,f38]) ).
fof(f1909,plain,
( ~ sQ82_spl
| ~ r(v5,v2)
| ~ r(v1,v2)
| v1 = v2 ),
inference(resolution,[status(thm)],[f551,f36]) ).
fof(f1911,plain,
( ~ sQ82_spl
| ~ r(v5,v0)
| ~ r(v1,v0)
| v1 = v0 ),
inference(resolution,[status(thm)],[f551,f34]) ).
fof(f1913,plain,
( ~ sQ82_spl
| ~ sQ96_spl
| ~ sQ53_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1907,f997,f361,f659,f550]) ).
fof(f1915,plain,
( ~ sQ82_spl
| ~ sQ84_spl
| ~ sQ7_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1909,f777,f131,f575,f550]) ).
fof(f1917,plain,
( ~ sQ82_spl
| ~ sQ71_spl
| ~ sQ25_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1911,f696,f203,f488,f550]) ).
fof(f1948,plain,
( ~ sQ92_spl
| ~ r(v4,v5)
| ~ r(v4,v3)
| v4 = v3 ),
inference(resolution,[status(thm)],[f625,f38]) ).
fof(f1950,plain,
( ~ sQ92_spl
| ~ r(v2,v5)
| ~ r(v2,v3)
| v2 = v3 ),
inference(resolution,[status(thm)],[f625,f36]) ).
fof(f1951,plain,
( ~ sQ92_spl
| ~ r(v1,v5)
| ~ r(v1,v3)
| v1 = v3 ),
inference(resolution,[status(thm)],[f625,f35]) ).
fof(f1952,plain,
( ~ sQ92_spl
| ~ r(v0,v5)
| ~ r(v0,v3)
| v0 = v3 ),
inference(resolution,[status(thm)],[f625,f34]) ).
fof(f1954,plain,
( ~ sQ92_spl
| ~ sQ97_spl
| ~ sQ64_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1948,f1083,f443,f662,f624]) ).
fof(f1956,plain,
( ~ sQ92_spl
| ~ sQ85_spl
| ~ sQ1_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1950,f831,f109,f578,f624]) ).
fof(f1957,plain,
( ~ sQ92_spl
| ~ sQ79_spl
| ~ sQ4_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1951,f804,f120,f536,f624]) ).
fof(f1958,plain,
( ~ sQ92_spl
| ~ sQ73_spl
| ~ sQ10_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1952,f750,f142,f494,f624]) ).
fof(f1979,plain,
! [X0] :
( sQ79_spl
| r(X0,v1)
| r(v5,X0)
| X0 = v1
| v5 = v1
| v5 = X0 ),
inference(resolution,[status(thm)],[f1195,f23]) ).
fof(f1986,plain,
( sQ79_spl
| sQ157_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1979,f1178,f1169,f536]) ).
fof(f1989,plain,
( ~ sQ94_spl
| ~ r(v5,v4)
| ~ r(v3,v4)
| v3 = v4 ),
inference(resolution,[status(thm)],[f635,f38]) ).
fof(f1995,plain,
( ~ sQ94_spl
| ~ sQ96_spl
| ~ sQ65_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1989,f1083,f446,f659,f634]) ).
fof(f2017,plain,
( ~ sQ95_spl
| ~ r(v4,v3)
| ~ r(v5,v4)
| v4 = v3 ),
inference(resolution,[status(thm)],[f642,f38]) ).
fof(f2021,plain,
( ~ sQ95_spl
| ~ r(v0,v3)
| ~ r(v5,v0)
| v0 = v3 ),
inference(resolution,[status(thm)],[f642,f34]) ).
fof(f2023,plain,
( ~ sQ95_spl
| ~ sQ64_spl
| ~ sQ96_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f2017,f1083,f659,f443,f641]) ).
fof(f2027,plain,
( ~ sQ95_spl
| ~ sQ10_spl
| ~ sQ71_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f2021,f750,f488,f142,f641]) ).
fof(f2035,plain,
! [X0] :
( sQ84_spl
| r(X0,v5)
| r(v2,X0)
| X0 = v5
| v2 = v5
| v2 = X0 ),
inference(resolution,[status(thm)],[f1211,f23]) ).
fof(f2042,plain,
( sQ84_spl
| sQ162_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f2035,f1242,f1212,f575]) ).
fof(f2047,plain,
( ~ sQ43_spl
| ~ r(v4,v1)
| ~ r(v4,v0)
| v4 = v0 ),
inference(resolution,[status(thm)],[f289,f31]) ).
fof(f2049,plain,
( ~ sQ43_spl
| ~ r(v2,v1)
| ~ r(v2,v0)
| v2 = v0 ),
inference(resolution,[status(thm)],[f289,f26]) ).
fof(f2053,plain,
( ~ sQ43_spl
| ~ sQ52_spl
| ~ sQ45_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f2047,f954,f313,f358,f288]) ).
fof(f2055,plain,
( ~ sQ43_spl
| ~ sQ20_spl
| ~ sQ24_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2049,f723,f198,f182,f288]) ).
fof(f2062,plain,
( ~ sQ31_spl
| ~ r(v4,v1)
| ~ r(v0,v4)
| v0 = v4 ),
inference(resolution,[status(thm)],[f235,f31]) ).
fof(f2063,plain,
( ~ sQ31_spl
| ~ r(v3,v1)
| ~ r(v0,v3)
| v0 = v3 ),
inference(resolution,[status(thm)],[f235,f28]) ).
fof(f2064,plain,
( ~ sQ31_spl
| ~ r(v2,v1)
| ~ r(v0,v2)
| v0 = v2 ),
inference(resolution,[status(thm)],[f235,f26]) ).
fof(f2068,plain,
( ~ sQ31_spl
| ~ sQ52_spl
| ~ sQ47_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f2062,f954,f319,f358,f234]) ).
fof(f2069,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| ~ sQ10_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f2063,f750,f142,f177,f234]) ).
fof(f2070,plain,
( ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ12_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2064,f723,f150,f182,f234]) ).
fof(f2076,plain,
( ~ sQ37_spl
| ~ r(v4,v0)
| ~ r(v1,v4)
| v4 = v0 ),
inference(resolution,[status(thm)],[f265,f31]) ).
fof(f2077,plain,
( ~ sQ37_spl
| ~ r(v3,v0)
| ~ r(v1,v3)
| v3 = v0 ),
inference(resolution,[status(thm)],[f265,f28]) ).
fof(f2078,plain,
( ~ sQ37_spl
| ~ r(v2,v0)
| ~ r(v1,v2)
| v2 = v0 ),
inference(resolution,[status(thm)],[f265,f26]) ).
fof(f2082,plain,
( ~ sQ37_spl
| ~ sQ45_spl
| ~ sQ53_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f2076,f954,f361,f313,f264]) ).
fof(f2083,plain,
( ~ sQ37_spl
| ~ sQ22_spl
| ~ sQ4_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f2077,f750,f120,f190,f264]) ).
fof(f2084,plain,
( ~ sQ37_spl
| ~ sQ24_spl
| ~ sQ7_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2078,f723,f131,f198,f264]) ).
fof(f2104,plain,
( ~ sQ38_spl
| ~ r(v0,v3)
| ~ r(v0,v2)
| v0 = v2 ),
inference(resolution,[status(thm)],[f269,f27]) ).
fof(f2106,plain,
( ~ sQ38_spl
| ~ r(v4,v3)
| ~ r(v4,v2)
| v4 = v2 ),
inference(resolution,[status(thm)],[f269,f33]) ).
fof(f2110,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ12_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2104,f723,f150,f142,f268]) ).
fof(f2112,plain,
( ~ sQ38_spl
| ~ sQ64_spl
| ~ sQ58_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2106,f1040,f400,f443,f268]) ).
fof(f2118,plain,
( ~ sQ32_spl
| ~ r(v4,v2)
| ~ r(v3,v4)
| v4 = v2 ),
inference(resolution,[status(thm)],[f240,f33]) ).
fof(f2124,plain,
( ~ sQ32_spl
| ~ sQ58_spl
| ~ sQ65_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2118,f1040,f446,f400,f239]) ).
fof(f2132,plain,
( sQ91_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f1281,f617,f620]) ).
fof(f2133,plain,
( sQ84_spl
| ~ sQ107_spl
| r(v5,v0)
| v5 = v0
| v5 = v2 ),
inference(resolution,[status(thm)],[f728,f577]) ).
fof(f2134,plain,
( sQ20_spl
| ~ sQ107_spl
| r(v1,v0)
| v1 = v0
| v1 = v2 ),
inference(resolution,[status(thm)],[f728,f776]) ).
fof(f2136,plain,
( sQ84_spl
| ~ sQ107_spl
| sQ71_spl
| sQ152_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f2133,f1212,f1126,f488,f727,f575]) ).
fof(f2137,plain,
( sQ20_spl
| ~ sQ107_spl
| sQ25_spl
| sQ102_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2134,f777,f696,f203,f727,f182]) ).
fof(f2139,plain,
( ~ sQ61_spl
| ~ r(v3,v4)
| ~ r(v2,v3)
| v2 = v3 ),
inference(resolution,[status(thm)],[f413,f33]) ).
fof(f2141,plain,
( ~ sQ61_spl
| ~ r(v1,v4)
| ~ r(v2,v1)
| v2 = v1 ),
inference(resolution,[status(thm)],[f413,f31]) ).
fof(f2142,plain,
( ~ sQ61_spl
| ~ r(v0,v4)
| ~ r(v2,v0)
| v2 = v0 ),
inference(resolution,[status(thm)],[f413,f30]) ).
fof(f2143,plain,
( ~ sQ61_spl
| ~ r(v5,v4)
| ~ r(v2,v5)
| v2 = v5 ),
inference(resolution,[status(thm)],[f413,f38]) ).
fof(f2145,plain,
( ~ sQ61_spl
| ~ sQ65_spl
| ~ sQ1_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f2139,f831,f109,f446,f412]) ).
fof(f2147,plain,
( ~ sQ61_spl
| ~ sQ53_spl
| ~ sQ20_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2141,f777,f182,f361,f412]) ).
fof(f2148,plain,
( ~ sQ61_spl
| ~ sQ47_spl
| ~ sQ24_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2142,f723,f198,f319,f412]) ).
fof(f2149,plain,
( ~ sQ61_spl
| ~ sQ96_spl
| ~ sQ85_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f2143,f1212,f578,f659,f412]) ).
fof(f2198,plain,
( sQ91_spl
| ~ r(v5,v3) ),
inference(resolution,[status(thm)],[f622,f19]) ).
fof(f2217,plain,
( ~ sQ107_spl
| sQ18_spl
| r(v3,v0)
| v3 = v0
| v3 = v2 ),
inference(resolution,[status(thm)],[f174,f728]) ).
fof(f2224,plain,
( sQ18_spl
| ~ r(v2,v3) ),
inference(resolution,[status(thm)],[f174,f19]) ).
fof(f2225,plain,
( ~ sQ107_spl
| sQ18_spl
| sQ22_spl
| sQ110_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f2217,f831,f750,f190,f172,f727]) ).
fof(f2238,plain,
( sQ1_spl
| ~ r(v3,v2) ),
inference(resolution,[status(thm)],[f111,f19]) ).
fof(f2245,plain,
( sQ1_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2238,f172,f109]) ).
fof(f2246,plain,
( ~ sQ71_spl
| sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f1454]) ).
fof(f2247,plain,
( ~ sQ71_spl
| sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2246]) ).
fof(f2260,plain,
( ~ sQ86_spl
| ~ r(v4,v5)
| ~ r(v4,v2)
| v4 = v2 ),
inference(resolution,[status(thm)],[f583,f38]) ).
fof(f2261,plain,
( ~ sQ86_spl
| ~ r(v3,v5)
| ~ r(v3,v2)
| v3 = v2 ),
inference(resolution,[status(thm)],[f583,f37]) ).
fof(f2263,plain,
( ~ sQ86_spl
| ~ r(v1,v5)
| ~ r(v1,v2)
| v1 = v2 ),
inference(resolution,[status(thm)],[f583,f35]) ).
fof(f2264,plain,
( ~ sQ86_spl
| ~ r(v0,v5)
| ~ r(v0,v2)
| v0 = v2 ),
inference(resolution,[status(thm)],[f583,f34]) ).
fof(f2266,plain,
( ~ sQ86_spl
| ~ sQ97_spl
| ~ sQ58_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2260,f1040,f400,f662,f582]) ).
fof(f2267,plain,
( ~ sQ86_spl
| ~ sQ91_spl
| ~ sQ18_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f2261,f831,f172,f620,f582]) ).
fof(f2269,plain,
( ~ sQ86_spl
| ~ sQ79_spl
| ~ sQ7_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2263,f777,f131,f536,f582]) ).
fof(f2270,plain,
( ~ sQ86_spl
| ~ sQ73_spl
| ~ sQ12_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2264,f723,f150,f494,f582]) ).
fof(f2291,plain,
! [X0] :
( sQ91_spl
| r(X0,v3)
| r(v5,X0)
| X0 = v3
| v5 = v3
| v5 = X0 ),
inference(resolution,[status(thm)],[f2198,f23]) ).
fof(f2298,plain,
( sQ91_spl
| sQ167_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f2291,f1264,f1255,f620]) ).
fof(f2301,plain,
( ~ sQ88_spl
| ~ r(v5,v4)
| ~ r(v2,v4)
| v2 = v4 ),
inference(resolution,[status(thm)],[f593,f38]) ).
fof(f2304,plain,
( ~ sQ88_spl
| ~ r(v5,v1)
| ~ r(v2,v1)
| v2 = v1 ),
inference(resolution,[status(thm)],[f593,f35]) ).
fof(f2305,plain,
( ~ sQ88_spl
| ~ r(v5,v0)
| ~ r(v2,v0)
| v2 = v0 ),
inference(resolution,[status(thm)],[f593,f34]) ).
fof(f2307,plain,
( ~ sQ88_spl
| ~ sQ96_spl
| ~ sQ59_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2301,f1040,f403,f659,f592]) ).
fof(f2310,plain,
( ~ sQ88_spl
| ~ sQ78_spl
| ~ sQ20_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2304,f777,f182,f533,f592]) ).
fof(f2311,plain,
( ~ sQ88_spl
| ~ sQ71_spl
| ~ sQ24_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2305,f723,f198,f488,f592]) ).
fof(f2344,plain,
( ~ sQ41_spl
| ~ r(v2,v3)
| ~ r(v2,v0)
| v2 = v0 ),
inference(resolution,[status(thm)],[f281,f29]) ).
fof(f2345,plain,
( ~ sQ41_spl
| ~ r(v1,v3)
| ~ r(v1,v0)
| v1 = v0 ),
inference(resolution,[status(thm)],[f281,f28]) ).
fof(f2347,plain,
( ~ sQ41_spl
| ~ r(v5,v3)
| ~ r(v5,v0)
| v5 = v0 ),
inference(resolution,[status(thm)],[f281,f37]) ).
fof(f2350,plain,
( ~ sQ41_spl
| ~ sQ1_spl
| ~ sQ24_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2344,f723,f198,f109,f280]) ).
fof(f2351,plain,
( ~ sQ41_spl
| ~ sQ4_spl
| ~ sQ25_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2345,f696,f203,f120,f280]) ).
fof(f2353,plain,
( ~ sQ41_spl
| ~ sQ90_spl
| ~ sQ71_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f2347,f1126,f488,f617,f280]) ).
fof(f2359,plain,
( ~ sQ89_spl
| ~ r(v4,v2)
| ~ r(v5,v4)
| v4 = v2 ),
inference(resolution,[status(thm)],[f600,f38]) ).
fof(f2362,plain,
( ~ sQ89_spl
| ~ r(v1,v2)
| ~ r(v5,v1)
| v1 = v2 ),
inference(resolution,[status(thm)],[f600,f35]) ).
fof(f2363,plain,
( ~ sQ89_spl
| ~ r(v0,v2)
| ~ r(v5,v0)
| v0 = v2 ),
inference(resolution,[status(thm)],[f600,f34]) ).
fof(f2365,plain,
( ~ sQ89_spl
| ~ sQ58_spl
| ~ sQ96_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2359,f1040,f659,f400,f599]) ).
fof(f2368,plain,
( ~ sQ89_spl
| ~ sQ7_spl
| ~ sQ78_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2362,f777,f533,f131,f599]) ).
fof(f2369,plain,
( ~ sQ89_spl
| ~ sQ12_spl
| ~ sQ71_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2363,f723,f488,f150,f599]) ).
fof(f2374,plain,
( ~ sQ35_spl
| ~ r(v5,v0)
| ~ r(v3,v5)
| v5 = v0 ),
inference(resolution,[status(thm)],[f255,f37]) ).
fof(f2376,plain,
( ~ sQ35_spl
| ~ r(v2,v0)
| ~ r(v3,v2)
| v2 = v0 ),
inference(resolution,[status(thm)],[f255,f29]) ).
fof(f2377,plain,
( ~ sQ35_spl
| ~ r(v1,v0)
| ~ r(v3,v1)
| v1 = v0 ),
inference(resolution,[status(thm)],[f255,f28]) ).
fof(f2380,plain,
( ~ sQ35_spl
| ~ sQ71_spl
| ~ sQ91_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f2374,f1126,f620,f488,f254]) ).
fof(f2382,plain,
( ~ sQ35_spl
| ~ sQ24_spl
| ~ sQ18_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2376,f723,f172,f198,f254]) ).
fof(f2383,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| ~ sQ19_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2377,f696,f177,f203,f254]) ).
fof(f2390,plain,
( sQ20_spl
| ~ sQ108_spl
| r(v1,v0)
| v1 = v0
| v2 = v1 ),
inference(resolution,[status(thm)],[f733,f184]) ).
fof(f2392,plain,
( sQ73_spl
| ~ sQ108_spl
| r(v2,v5)
| v5 = v0
| v2 = v5 ),
inference(resolution,[status(thm)],[f733,f1454]) ).
fof(f2393,plain,
( sQ47_spl
| ~ sQ108_spl
| r(v2,v4)
| v4 = v0
| v2 = v4 ),
inference(resolution,[status(thm)],[f733,f1480]) ).
fof(f2396,plain,
( sQ20_spl
| ~ sQ108_spl
| sQ25_spl
| sQ102_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2390,f777,f696,f203,f732,f182]) ).
fof(f2398,plain,
( sQ73_spl
| ~ sQ108_spl
| sQ85_spl
| sQ152_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f2392,f1212,f1126,f578,f732,f494]) ).
fof(f2399,plain,
( sQ47_spl
| ~ sQ108_spl
| sQ59_spl
| sQ132_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2393,f1040,f954,f403,f732,f319]) ).
fof(f2401,plain,
( sQ15_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f857,f203,f161]) ).
fof(f2403,plain,
( ~ sQ29_spl
| ~ r(v2,v3)
| ~ r(v0,v2)
| v0 = v2 ),
inference(resolution,[status(thm)],[f225,f29]) ).
fof(f2404,plain,
( ~ sQ29_spl
| ~ r(v1,v3)
| ~ r(v0,v1)
| v0 = v1 ),
inference(resolution,[status(thm)],[f225,f28]) ).
fof(f2406,plain,
( ~ sQ29_spl
| ~ r(v5,v3)
| ~ r(v0,v5)
| v0 = v5 ),
inference(resolution,[status(thm)],[f225,f37]) ).
fof(f2409,plain,
( ~ sQ29_spl
| ~ sQ1_spl
| ~ sQ12_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2403,f723,f150,f109,f224]) ).
fof(f2410,plain,
( ~ sQ29_spl
| ~ sQ4_spl
| ~ sQ15_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2404,f696,f161,f120,f224]) ).
fof(f2412,plain,
( ~ sQ29_spl
| ~ sQ90_spl
| ~ sQ73_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f2406,f1126,f494,f617,f224]) ).
fof(f2418,plain,
( ~ sQ108_spl
| sQ59_spl
| r(v4,v0)
| v4 = v0
| v2 = v4 ),
inference(resolution,[status(thm)],[f405,f733]) ).
fof(f2426,plain,
( ~ sQ108_spl
| sQ59_spl
| sQ45_spl
| sQ132_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2418,f1040,f954,f313,f403,f732]) ).
fof(f2433,plain,
( ~ sQ107_spl
| sQ58_spl
| r(v4,v0)
| v4 = v0
| v4 = v2 ),
inference(resolution,[status(thm)],[f402,f728]) ).
fof(f2441,plain,
( ~ sQ107_spl
| sQ58_spl
| sQ45_spl
| sQ132_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2433,f1040,f954,f313,f400,f727]) ).
fof(f2448,plain,
( ~ sQ87_spl
| ~ r(v4,v5)
| ~ r(v2,v4)
| v2 = v4 ),
inference(resolution,[status(thm)],[f588,f38]) ).
fof(f2449,plain,
( ~ sQ87_spl
| ~ r(v3,v5)
| ~ r(v2,v3)
| v2 = v3 ),
inference(resolution,[status(thm)],[f588,f37]) ).
fof(f2451,plain,
( ~ sQ87_spl
| ~ r(v1,v5)
| ~ r(v2,v1)
| v2 = v1 ),
inference(resolution,[status(thm)],[f588,f35]) ).
fof(f2452,plain,
( ~ sQ87_spl
| ~ r(v0,v5)
| ~ r(v2,v0)
| v2 = v0 ),
inference(resolution,[status(thm)],[f588,f34]) ).
fof(f2454,plain,
( ~ sQ87_spl
| ~ sQ97_spl
| ~ sQ59_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2448,f1040,f403,f662,f587]) ).
fof(f2455,plain,
( ~ sQ87_spl
| ~ sQ91_spl
| ~ sQ1_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f2449,f831,f109,f620,f587]) ).
fof(f2457,plain,
( ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ20_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2451,f777,f182,f536,f587]) ).
fof(f2458,plain,
( ~ sQ87_spl
| ~ sQ73_spl
| ~ sQ24_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2452,f723,f198,f494,f587]) ).
fof(f2463,plain,
( sQ59_spl
| ~ sQ109_spl
| r(v0,v4)
| v0 = v4
| v2 = v4 ),
inference(resolution,[status(thm)],[f738,f405]) ).
fof(f2465,plain,
( sQ20_spl
| ~ sQ109_spl
| r(v0,v1)
| v0 = v1
| v2 = v1 ),
inference(resolution,[status(thm)],[f738,f184]) ).
fof(f2467,plain,
( sQ59_spl
| ~ sQ109_spl
| sQ47_spl
| sQ132_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2463,f1040,f954,f319,f737,f403]) ).
fof(f2469,plain,
( sQ20_spl
| ~ sQ109_spl
| sQ15_spl
| sQ102_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2465,f777,f696,f161,f737,f182]) ).
fof(f2483,plain,
( sQ58_spl
| ~ sQ115_spl
| r(v4,v1)
| v4 = v1
| v4 = v2 ),
inference(resolution,[status(thm)],[f782,f402]) ).
fof(f2485,plain,
( sQ1_spl
| ~ sQ115_spl
| r(v3,v1)
| v3 = v1
| v3 = v2 ),
inference(resolution,[status(thm)],[f782,f937]) ).
fof(f2486,plain,
( sQ24_spl
| ~ sQ115_spl
| r(v0,v1)
| v0 = v1
| v0 = v2 ),
inference(resolution,[status(thm)],[f782,f722]) ).
fof(f2487,plain,
( sQ58_spl
| ~ sQ115_spl
| sQ52_spl
| sQ137_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2483,f1040,f997,f358,f781,f400]) ).
fof(f2489,plain,
( sQ1_spl
| ~ sQ115_spl
| sQ19_spl
| sQ118_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f2485,f831,f804,f177,f781,f109]) ).
fof(f2490,plain,
( sQ24_spl
| ~ sQ115_spl
| sQ15_spl
| sQ102_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2486,f723,f696,f161,f781,f198]) ).
fof(f2531,plain,
( ~ sQ56_spl
| ~ r(v4,v5)
| ~ r(v1,v5)
| v1 = v5 ),
inference(resolution,[status(thm)],[f376,f38]) ).
fof(f2532,plain,
( ~ sQ56_spl
| ~ r(v4,v3)
| ~ r(v1,v3)
| v1 = v3 ),
inference(resolution,[status(thm)],[f376,f33]) ).
fof(f2533,plain,
( ~ sQ56_spl
| ~ r(v4,v2)
| ~ r(v1,v2)
| v1 = v2 ),
inference(resolution,[status(thm)],[f376,f32]) ).
fof(f2535,plain,
( ~ sQ56_spl
| ~ r(v4,v0)
| ~ r(v1,v0)
| v1 = v0 ),
inference(resolution,[status(thm)],[f376,f30]) ).
fof(f2537,plain,
( ~ sQ56_spl
| ~ sQ97_spl
| ~ sQ79_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f2531,f1169,f536,f662,f375]) ).
fof(f2538,plain,
( ~ sQ56_spl
| ~ sQ64_spl
| ~ sQ4_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f2532,f804,f120,f443,f375]) ).
fof(f2539,plain,
( ~ sQ56_spl
| ~ sQ58_spl
| ~ sQ7_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2533,f777,f131,f400,f375]) ).
fof(f2541,plain,
( ~ sQ56_spl
| ~ sQ45_spl
| ~ sQ25_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2535,f696,f203,f313,f375]) ).
fof(f2546,plain,
( ~ sQ39_spl
| ~ r(v2,v3)
| ~ r(v2,v1)
| v2 = v1 ),
inference(resolution,[status(thm)],[f273,f29]) ).
fof(f2549,plain,
( ~ sQ39_spl
| ~ r(v5,v3)
| ~ r(v5,v1)
| v5 = v1 ),
inference(resolution,[status(thm)],[f273,f37]) ).
fof(f2550,plain,
( ~ sQ39_spl
| ~ r(v4,v3)
| ~ r(v4,v1)
| v4 = v1 ),
inference(resolution,[status(thm)],[f273,f33]) ).
fof(f2552,plain,
( ~ sQ39_spl
| ~ sQ1_spl
| ~ sQ20_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2546,f777,f182,f109,f272]) ).
fof(f2555,plain,
( ~ sQ39_spl
| ~ sQ90_spl
| ~ sQ78_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f2549,f1169,f533,f617,f272]) ).
fof(f2556,plain,
( ~ sQ39_spl
| ~ sQ64_spl
| ~ sQ52_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2550,f997,f358,f443,f272]) ).
fof(f2576,plain,
( ~ sQ57_spl
| ~ r(v5,v1)
| ~ r(v4,v5)
| v5 = v1 ),
inference(resolution,[status(thm)],[f383,f38]) ).
fof(f2577,plain,
( ~ sQ57_spl
| ~ r(v3,v1)
| ~ r(v4,v3)
| v3 = v1 ),
inference(resolution,[status(thm)],[f383,f33]) ).
fof(f2578,plain,
( ~ sQ57_spl
| ~ r(v2,v1)
| ~ r(v4,v2)
| v2 = v1 ),
inference(resolution,[status(thm)],[f383,f32]) ).
fof(f2580,plain,
( ~ sQ57_spl
| ~ r(v0,v1)
| ~ r(v4,v0)
| v0 = v1 ),
inference(resolution,[status(thm)],[f383,f30]) ).
fof(f2582,plain,
( ~ sQ57_spl
| ~ sQ78_spl
| ~ sQ97_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f2576,f1169,f662,f533,f382]) ).
fof(f2583,plain,
( ~ sQ57_spl
| ~ sQ19_spl
| ~ sQ64_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f2577,f804,f443,f177,f382]) ).
fof(f2584,plain,
( ~ sQ57_spl
| ~ sQ20_spl
| ~ sQ58_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2578,f777,f400,f182,f382]) ).
fof(f2586,plain,
( ~ sQ57_spl
| ~ sQ15_spl
| ~ sQ45_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2580,f696,f313,f161,f382]) ).
fof(f2594,plain,
! [X0] :
( sQ22_spl
| r(X0,v3)
| r(v0,X0)
| X0 = v3
| v0 = v3
| v0 = X0 ),
inference(resolution,[status(thm)],[f749,f23]) ).
fof(f2601,plain,
( sQ22_spl
| sQ110_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f2594,f893,f750,f190]) ).
fof(f2604,plain,
( ~ sQ55_spl
| ~ r(v3,v4)
| ~ r(v1,v3)
| v1 = v3 ),
inference(resolution,[status(thm)],[f371,f33]) ).
fof(f2605,plain,
( ~ sQ55_spl
| ~ r(v2,v4)
| ~ r(v1,v2)
| v1 = v2 ),
inference(resolution,[status(thm)],[f371,f32]) ).
fof(f2607,plain,
( ~ sQ55_spl
| ~ r(v0,v4)
| ~ r(v1,v0)
| v1 = v0 ),
inference(resolution,[status(thm)],[f371,f30]) ).
fof(f2608,plain,
( ~ sQ55_spl
| ~ r(v5,v4)
| ~ r(v1,v5)
| v1 = v5 ),
inference(resolution,[status(thm)],[f371,f38]) ).
fof(f2610,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| ~ sQ4_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f2604,f804,f120,f446,f370]) ).
fof(f2611,plain,
( ~ sQ55_spl
| ~ sQ59_spl
| ~ sQ7_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2605,f777,f131,f403,f370]) ).
fof(f2613,plain,
( ~ sQ55_spl
| ~ sQ47_spl
| ~ sQ25_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2607,f696,f203,f319,f370]) ).
fof(f2614,plain,
( ~ sQ55_spl
| ~ sQ96_spl
| ~ sQ79_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f2608,f1169,f536,f659,f370]) ).
fof(f2620,plain,
( ~ sQ26_spl
| ~ r(v1,v3)
| ~ r(v2,v1)
| v2 = v1 ),
inference(resolution,[status(thm)],[f210,f28]) ).
fof(f2621,plain,
( ~ sQ26_spl
| ~ r(v0,v3)
| ~ r(v2,v0)
| v2 = v0 ),
inference(resolution,[status(thm)],[f210,f27]) ).
fof(f2623,plain,
( ~ sQ26_spl
| ~ r(v4,v3)
| ~ r(v2,v4)
| v2 = v4 ),
inference(resolution,[status(thm)],[f210,f33]) ).
fof(f2626,plain,
( ~ sQ26_spl
| ~ sQ4_spl
| ~ sQ20_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2620,f777,f182,f120,f209]) ).
fof(f2627,plain,
( ~ sQ26_spl
| ~ sQ10_spl
| ~ sQ24_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2621,f723,f198,f142,f209]) ).
fof(f2629,plain,
( ~ sQ26_spl
| ~ sQ64_spl
| ~ sQ59_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2623,f1040,f403,f443,f209]) ).
fof(f2635,plain,
( sQ24_spl
| ~ sQ117_spl
| r(v1,v0)
| v1 = v0
| v2 = v0 ),
inference(resolution,[status(thm)],[f792,f200]) ).
fof(f2637,plain,
( sQ24_spl
| ~ sQ117_spl
| sQ25_spl
| sQ102_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2635,f723,f696,f203,f791,f198]) ).
fof(f2639,plain,
( sQ47_spl
| ~ sQ127_spl
| r(v4,v2)
| v4 = v2
| v0 = v4 ),
inference(resolution,[status(thm)],[f878,f321]) ).
fof(f2640,plain,
( sQ73_spl
| ~ sQ127_spl
| r(v5,v2)
| v5 = v2
| v0 = v5 ),
inference(resolution,[status(thm)],[f878,f496]) ).
fof(f2642,plain,
( sQ20_spl
| ~ sQ127_spl
| r(v0,v1)
| v1 = v2
| v0 = v1 ),
inference(resolution,[status(thm)],[f878,f776]) ).
fof(f2645,plain,
( sQ47_spl
| ~ sQ127_spl
| sQ58_spl
| sQ142_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f2639,f954,f1040,f400,f877,f319]) ).
fof(f2646,plain,
( sQ73_spl
| ~ sQ127_spl
| sQ84_spl
| sQ162_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f2640,f1126,f1212,f575,f877,f494]) ).
fof(f2648,plain,
( sQ20_spl
| ~ sQ127_spl
| sQ15_spl
| sQ114_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2642,f696,f777,f161,f877,f182]) ).
fof(f2650,plain,
( ~ sQ33_spl
| ~ r(v5,v1)
| ~ r(v3,v5)
| v5 = v1 ),
inference(resolution,[status(thm)],[f245,f37]) ).
fof(f2651,plain,
( ~ sQ33_spl
| ~ r(v4,v1)
| ~ r(v3,v4)
| v4 = v1 ),
inference(resolution,[status(thm)],[f245,f33]) ).
fof(f2652,plain,
( ~ sQ33_spl
| ~ r(v2,v1)
| ~ r(v3,v2)
| v2 = v1 ),
inference(resolution,[status(thm)],[f245,f29]) ).
fof(f2656,plain,
( ~ sQ33_spl
| ~ sQ78_spl
| ~ sQ91_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f2650,f1169,f620,f533,f244]) ).
fof(f2657,plain,
( ~ sQ33_spl
| ~ sQ52_spl
| ~ sQ65_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2651,f997,f446,f358,f244]) ).
fof(f2658,plain,
( ~ sQ33_spl
| ~ sQ20_spl
| ~ sQ18_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2652,f777,f172,f182,f244]) ).
fof(f2666,plain,
( ~ sQ115_spl
| sQ85_spl
| r(v5,v1)
| v5 = v1
| v5 = v2 ),
inference(resolution,[status(thm)],[f1238,f782]) ).
fof(f2674,plain,
( ~ sQ115_spl
| sQ85_spl
| sQ78_spl
| sQ157_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f2666,f1212,f1169,f533,f578,f781]) ).
fof(f2681,plain,
( ~ sQ115_spl
| sQ84_spl
| r(v5,v1)
| v5 = v1
| v5 = v2 ),
inference(resolution,[status(thm)],[f577,f782]) ).
fof(f2688,plain,
( sQ84_spl
| ~ r(v2,v5) ),
inference(resolution,[status(thm)],[f577,f19]) ).
fof(f2689,plain,
( ~ sQ115_spl
| sQ84_spl
| sQ78_spl
| sQ157_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f2681,f1212,f1169,f533,f575,f781]) ).
fof(f2696,plain,
( sQ84_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f2688,f578,f575]) ).
fof(f2759,plain,
( ~ sQ117_spl
| sQ59_spl
| r(v1,v4)
| v1 = v4
| v2 = v4 ),
inference(resolution,[status(thm)],[f405,f792]) ).
fof(f2767,plain,
( ~ sQ117_spl
| sQ59_spl
| sQ53_spl
| sQ137_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2759,f1040,f997,f361,f403,f791]) ).
fof(f2786,plain,
( ~ sQ117_spl
| sQ12_spl
| r(v1,v0)
| v1 = v0
| v2 = v0 ),
inference(resolution,[status(thm)],[f873,f792]) ).
fof(f2794,plain,
( ~ sQ117_spl
| sQ12_spl
| sQ25_spl
| sQ102_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2786,f723,f696,f203,f150,f791]) ).
fof(f2828,plain,
( ~ sQ27_spl
| ~ r(v2,v3)
| ~ r(v1,v2)
| v1 = v2 ),
inference(resolution,[status(thm)],[f215,f29]) ).
fof(f2830,plain,
( ~ sQ27_spl
| ~ r(v0,v3)
| ~ r(v1,v0)
| v1 = v0 ),
inference(resolution,[status(thm)],[f215,f27]) ).
fof(f2831,plain,
( ~ sQ27_spl
| ~ r(v5,v3)
| ~ r(v1,v5)
| v1 = v5 ),
inference(resolution,[status(thm)],[f215,f37]) ).
fof(f2832,plain,
( ~ sQ27_spl
| ~ r(v4,v3)
| ~ r(v1,v4)
| v1 = v4 ),
inference(resolution,[status(thm)],[f215,f33]) ).
fof(f2834,plain,
( ~ sQ27_spl
| ~ sQ1_spl
| ~ sQ7_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f2828,f777,f131,f109,f214]) ).
fof(f2836,plain,
( ~ sQ27_spl
| ~ sQ10_spl
| ~ sQ25_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2830,f696,f203,f142,f214]) ).
fof(f2837,plain,
( ~ sQ27_spl
| ~ sQ90_spl
| ~ sQ79_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f2831,f1169,f536,f617,f214]) ).
fof(f2838,plain,
( ~ sQ27_spl
| ~ sQ64_spl
| ~ sQ53_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2832,f997,f361,f443,f214]) ).
fof(f2867,plain,
( sQ97_spl
| ~ sQ148_spl
| r(v5,v3)
| v5 = v3
| v5 = v4 ),
inference(resolution,[status(thm)],[f1088,f1324]) ).
fof(f2869,plain,
( sQ47_spl
| ~ sQ148_spl
| r(v0,v3)
| v0 = v3
| v0 = v4 ),
inference(resolution,[status(thm)],[f1088,f321]) ).
fof(f2870,plain,
( sQ97_spl
| ~ sQ148_spl
| sQ90_spl
| sQ167_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f2867,f1298,f1255,f617,f1087,f662]) ).
fof(f2872,plain,
( sQ47_spl
| ~ sQ148_spl
| sQ10_spl
| sQ110_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f2869,f954,f750,f142,f1087,f319]) ).
fof(f2873,plain,
( sQ58_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1039,f403,f400]) ).
fof(f2925,plain,
( ~ sQ148_spl
| sQ53_spl
| r(v1,v3)
| v1 = v3
| v1 = v4 ),
inference(resolution,[status(thm)],[f363,f1088]) ).
fof(f2933,plain,
( ~ sQ148_spl
| sQ53_spl
| sQ4_spl
| sQ118_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2925,f997,f804,f120,f361,f1087]) ).
fof(f2979,plain,
( ~ sQ40_spl
| ~ r(v0,v2)
| ~ r(v0,v1)
| v0 = v1 ),
inference(resolution,[status(thm)],[f277,f25]) ).
fof(f2980,plain,
( ~ sQ40_spl
| ~ r(v5,v2)
| ~ r(v5,v1)
| v5 = v1 ),
inference(resolution,[status(thm)],[f277,f36]) ).
fof(f2985,plain,
( ~ sQ40_spl
| ~ sQ12_spl
| ~ sQ15_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2979,f696,f161,f150,f276]) ).
fof(f2986,plain,
( ~ sQ40_spl
| ~ sQ84_spl
| ~ sQ78_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f2980,f1169,f533,f575,f276]) ).
fof(f3006,plain,
( ~ sQ93_spl
| ~ r(v4,v5)
| ~ r(v3,v4)
| v3 = v4 ),
inference(resolution,[status(thm)],[f630,f38]) ).
fof(f3012,plain,
( ~ sQ93_spl
| ~ sQ97_spl
| ~ sQ65_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f3006,f1083,f446,f662,f629]) ).
fof(f3135,plain,
( ~ sQ66_spl
| ~ r(v2,v4)
| ~ r(v2,v3)
| v2 = v3 ),
inference(resolution,[status(thm)],[f451,f32]) ).
fof(f3136,plain,
( ~ sQ66_spl
| ~ r(v1,v4)
| ~ r(v1,v3)
| v1 = v3 ),
inference(resolution,[status(thm)],[f451,f31]) ).
fof(f3137,plain,
( ~ sQ66_spl
| ~ r(v0,v4)
| ~ r(v0,v3)
| v0 = v3 ),
inference(resolution,[status(thm)],[f451,f30]) ).
fof(f3138,plain,
( ~ sQ66_spl
| ~ r(v5,v4)
| ~ r(v5,v3)
| v5 = v3 ),
inference(resolution,[status(thm)],[f451,f38]) ).
fof(f3141,plain,
( ~ sQ66_spl
| ~ sQ59_spl
| ~ sQ1_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f3135,f831,f109,f403,f450]) ).
fof(f3142,plain,
( ~ sQ66_spl
| ~ sQ53_spl
| ~ sQ4_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f3136,f804,f120,f361,f450]) ).
fof(f3143,plain,
( ~ sQ66_spl
| ~ sQ47_spl
| ~ sQ10_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3137,f750,f142,f319,f450]) ).
fof(f3144,plain,
( ~ sQ66_spl
| ~ sQ96_spl
| ~ sQ90_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f3138,f1255,f617,f659,f450]) ).
fof(f3181,plain,
( ~ sQ67_spl
| ~ r(v5,v4)
| ~ r(v3,v5)
| v3 = v5 ),
inference(resolution,[status(thm)],[f456,f38]) ).
fof(f3187,plain,
( ~ sQ67_spl
| ~ sQ96_spl
| ~ sQ91_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f3181,f1255,f620,f659,f455]) ).
fof(f3196,plain,
( ~ sQ69_spl
| ~ r(v0,v3)
| ~ r(v4,v0)
| v0 = v3 ),
inference(resolution,[status(thm)],[f468,f30]) ).
fof(f3202,plain,
( ~ sQ69_spl
| ~ sQ10_spl
| ~ sQ45_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3196,f750,f313,f142,f467]) ).
fof(f3207,plain,
( ~ sQ34_spl
| ~ r(v5,v1)
| ~ r(v2,v5)
| v5 = v1 ),
inference(resolution,[status(thm)],[f250,f36]) ).
fof(f3211,plain,
( ~ sQ34_spl
| ~ r(v0,v1)
| ~ r(v2,v0)
| v0 = v1 ),
inference(resolution,[status(thm)],[f250,f25]) ).
fof(f3213,plain,
( ~ sQ34_spl
| ~ sQ78_spl
| ~ sQ85_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f3207,f1169,f578,f533,f249]) ).
fof(f3217,plain,
( ~ sQ34_spl
| ~ sQ15_spl
| ~ sQ24_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f3211,f696,f198,f161,f249]) ).
fof(f3238,plain,
! [X0] :
( sQ7_spl
| r(X0,v1)
| r(v2,X0)
| X0 = v1
| v2 = v1
| v2 = X0 ),
inference(resolution,[status(thm)],[f905,f23]) ).
fof(f3245,plain,
( sQ7_spl
| sQ114_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f3238,f786,f777,f131]) ).
fof(f3248,plain,
( ~ sQ42_spl
| ~ r(v1,v2)
| ~ r(v1,v0)
| v1 = v0 ),
inference(resolution,[status(thm)],[f285,f26]) ).
fof(f3250,plain,
( ~ sQ42_spl
| ~ r(v5,v2)
| ~ r(v5,v0)
| v5 = v0 ),
inference(resolution,[status(thm)],[f285,f36]) ).
fof(f3251,plain,
( ~ sQ42_spl
| ~ r(v4,v2)
| ~ r(v4,v0)
| v4 = v0 ),
inference(resolution,[status(thm)],[f285,f32]) ).
fof(f3254,plain,
( ~ sQ42_spl
| ~ sQ7_spl
| ~ sQ25_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f3248,f696,f203,f131,f284]) ).
fof(f3256,plain,
( ~ sQ42_spl
| ~ sQ84_spl
| ~ sQ71_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f3250,f1126,f488,f575,f284]) ).
fof(f3257,plain,
( ~ sQ42_spl
| ~ sQ58_spl
| ~ sQ45_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3251,f954,f313,f400,f284]) ).
fof(f3263,plain,
( ~ sQ30_spl
| ~ r(v1,v2)
| ~ r(v0,v1)
| v0 = v1 ),
inference(resolution,[status(thm)],[f230,f26]) ).
fof(f3265,plain,
( ~ sQ30_spl
| ~ r(v5,v2)
| ~ r(v0,v5)
| v0 = v5 ),
inference(resolution,[status(thm)],[f230,f36]) ).
fof(f3266,plain,
( ~ sQ30_spl
| ~ r(v4,v2)
| ~ r(v0,v4)
| v0 = v4 ),
inference(resolution,[status(thm)],[f230,f32]) ).
fof(f3269,plain,
( ~ sQ30_spl
| ~ sQ7_spl
| ~ sQ15_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f3263,f696,f161,f131,f229]) ).
fof(f3271,plain,
( ~ sQ30_spl
| ~ sQ84_spl
| ~ sQ73_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f3265,f1126,f494,f575,f229]) ).
fof(f3272,plain,
( ~ sQ30_spl
| ~ sQ58_spl
| ~ sQ47_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3266,f954,f319,f400,f229]) ).
fof(f3305,plain,
( ~ sQ28_spl
| ~ r(v0,v2)
| ~ r(v1,v0)
| v1 = v0 ),
inference(resolution,[status(thm)],[f220,f25]) ).
fof(f3306,plain,
( ~ sQ28_spl
| ~ r(v5,v2)
| ~ r(v1,v5)
| v1 = v5 ),
inference(resolution,[status(thm)],[f220,f36]) ).
fof(f3311,plain,
( ~ sQ28_spl
| ~ sQ12_spl
| ~ sQ25_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f3305,f696,f203,f150,f219]) ).
fof(f3312,plain,
( ~ sQ28_spl
| ~ sQ84_spl
| ~ sQ79_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f3306,f1169,f536,f575,f219]) ).
fof(f3357,plain,
( sQ97_spl
| ~ sQ158_spl
| r(v4,v1)
| v4 = v1
| v4 = v5 ),
inference(resolution,[status(thm)],[f1174,f664]) ).
fof(f3359,plain,
( sQ73_spl
| ~ sQ158_spl
| r(v0,v1)
| v0 = v1
| v0 = v5 ),
inference(resolution,[status(thm)],[f1174,f496]) ).
fof(f3360,plain,
( sQ97_spl
| ~ sQ158_spl
| sQ52_spl
| sQ137_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f3357,f1298,f997,f358,f1173,f662]) ).
fof(f3362,plain,
( sQ73_spl
| ~ sQ158_spl
| sQ15_spl
| sQ102_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f3359,f1126,f696,f161,f1173,f494]) ).
fof(f3363,plain,
( ~ sQ1_spl
| sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f110,f2224]) ).
fof(f3364,plain,
( ~ sQ1_spl
| sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3363]) ).
fof(f3366,plain,
( ~ sQ98_spl
| ~ r(v3,v5)
| ~ r(v3,v4)
| v3 = v4 ),
inference(resolution,[status(thm)],[f667,f37]) ).
fof(f3367,plain,
( ~ sQ98_spl
| ~ r(v2,v5)
| ~ r(v2,v4)
| v2 = v4 ),
inference(resolution,[status(thm)],[f667,f36]) ).
fof(f3368,plain,
( ~ sQ98_spl
| ~ r(v1,v5)
| ~ r(v1,v4)
| v1 = v4 ),
inference(resolution,[status(thm)],[f667,f35]) ).
fof(f3369,plain,
( ~ sQ98_spl
| ~ r(v0,v5)
| ~ r(v0,v4)
| v0 = v4 ),
inference(resolution,[status(thm)],[f667,f34]) ).
fof(f3372,plain,
( ~ sQ98_spl
| ~ sQ91_spl
| ~ sQ65_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f3366,f1083,f446,f620,f666]) ).
fof(f3373,plain,
( ~ sQ98_spl
| ~ sQ85_spl
| ~ sQ59_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f3367,f1040,f403,f578,f666]) ).
fof(f3374,plain,
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ53_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f3368,f997,f361,f536,f666]) ).
fof(f3375,plain,
( ~ sQ98_spl
| ~ sQ73_spl
| ~ sQ47_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3369,f954,f319,f494,f666]) ).
fof(f3380,plain,
( sQ85_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1762,f575,f578]) ).
fof(f3460,plain,
( ~ sQ83_spl
| ~ r(v4,v1)
| ~ r(v5,v4)
| v4 = v1 ),
inference(resolution,[status(thm)],[f558,f38]) ).
fof(f3461,plain,
( ~ sQ83_spl
| ~ r(v3,v1)
| ~ r(v5,v3)
| v3 = v1 ),
inference(resolution,[status(thm)],[f558,f37]) ).
fof(f3462,plain,
( ~ sQ83_spl
| ~ r(v2,v1)
| ~ r(v5,v2)
| v2 = v1 ),
inference(resolution,[status(thm)],[f558,f36]) ).
fof(f3464,plain,
( ~ sQ83_spl
| ~ r(v0,v1)
| ~ r(v5,v0)
| v0 = v1 ),
inference(resolution,[status(thm)],[f558,f34]) ).
fof(f3466,plain,
( ~ sQ83_spl
| ~ sQ52_spl
| ~ sQ96_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f3460,f997,f659,f358,f557]) ).
fof(f3467,plain,
( ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ90_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f3461,f804,f617,f177,f557]) ).
fof(f3468,plain,
( ~ sQ83_spl
| ~ sQ20_spl
| ~ sQ84_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f3462,f777,f575,f182,f557]) ).
fof(f3470,plain,
( ~ sQ83_spl
| ~ sQ15_spl
| ~ sQ71_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f3464,f696,f488,f161,f557]) ).
fof(f3488,plain,
( ~ sQ81_spl
| ~ r(v4,v5)
| ~ r(v1,v4)
| v1 = v4 ),
inference(resolution,[status(thm)],[f546,f38]) ).
fof(f3490,plain,
( ~ sQ81_spl
| ~ r(v2,v5)
| ~ r(v1,v2)
| v1 = v2 ),
inference(resolution,[status(thm)],[f546,f36]) ).
fof(f3492,plain,
( ~ sQ81_spl
| ~ r(v0,v5)
| ~ r(v1,v0)
| v1 = v0 ),
inference(resolution,[status(thm)],[f546,f34]) ).
fof(f3494,plain,
( ~ sQ81_spl
| ~ sQ97_spl
| ~ sQ53_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f3488,f997,f361,f662,f545]) ).
fof(f3496,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ7_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f3490,f777,f131,f578,f545]) ).
fof(f3498,plain,
( ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ25_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f3492,f696,f203,f494,f545]) ).
fof(f3529,plain,
( ~ sQ36_spl
| ~ r(v5,v0)
| ~ r(v2,v5)
| v5 = v0 ),
inference(resolution,[status(thm)],[f260,f36]) ).
fof(f3530,plain,
( ~ sQ36_spl
| ~ r(v4,v0)
| ~ r(v2,v4)
| v4 = v0 ),
inference(resolution,[status(thm)],[f260,f32]) ).
fof(f3532,plain,
( ~ sQ36_spl
| ~ r(v1,v0)
| ~ r(v2,v1)
| v1 = v0 ),
inference(resolution,[status(thm)],[f260,f26]) ).
fof(f3535,plain,
( ~ sQ36_spl
| ~ sQ71_spl
| ~ sQ85_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f3529,f1126,f578,f488,f259]) ).
fof(f3536,plain,
( ~ sQ36_spl
| ~ sQ45_spl
| ~ sQ59_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3530,f954,f403,f313,f259]) ).
fof(f3538,plain,
( ~ sQ36_spl
| ~ sQ25_spl
| ~ sQ20_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f3532,f696,f182,f203,f259]) ).
fof(f3645,plain,
( sQ97_spl
| ~ sQ153_spl
| r(v4,v0)
| v4 = v0
| v4 = v5 ),
inference(resolution,[status(thm)],[f1131,f664]) ).
fof(f3646,plain,
( sQ91_spl
| ~ sQ153_spl
| r(v3,v0)
| v3 = v0
| v3 = v5 ),
inference(resolution,[status(thm)],[f1131,f622]) ).
fof(f3648,plain,
( sQ97_spl
| ~ sQ153_spl
| sQ45_spl
| sQ132_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f3645,f1298,f954,f313,f1130,f662]) ).
fof(f3649,plain,
( sQ91_spl
| ~ sQ153_spl
| sQ22_spl
| sQ110_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f3646,f1255,f750,f190,f1130,f620]) ).
fof(f3703,plain,
( ~ sQ100_spl
| ~ r(v5,v3)
| ~ r(v4,v3)
| v4 = v3 ),
inference(resolution,[status(thm)],[f677,f37]) ).
fof(f3704,plain,
( ~ sQ100_spl
| ~ r(v5,v2)
| ~ r(v4,v2)
| v4 = v2 ),
inference(resolution,[status(thm)],[f677,f36]) ).
fof(f3705,plain,
( ~ sQ100_spl
| ~ r(v5,v1)
| ~ r(v4,v1)
| v4 = v1 ),
inference(resolution,[status(thm)],[f677,f35]) ).
fof(f3706,plain,
( ~ sQ100_spl
| ~ r(v5,v0)
| ~ r(v4,v0)
| v4 = v0 ),
inference(resolution,[status(thm)],[f677,f34]) ).
fof(f3709,plain,
( ~ sQ100_spl
| ~ sQ90_spl
| ~ sQ64_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f3703,f1083,f443,f617,f676]) ).
fof(f3710,plain,
( ~ sQ100_spl
| ~ sQ84_spl
| ~ sQ58_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f3704,f1040,f400,f575,f676]) ).
fof(f3711,plain,
( ~ sQ100_spl
| ~ sQ78_spl
| ~ sQ52_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f3705,f997,f358,f533,f676]) ).
fof(f3712,plain,
( ~ sQ100_spl
| ~ sQ71_spl
| ~ sQ45_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3706,f954,f313,f488,f676]) ).
fof(f3743,plain,
( ~ sQ75_spl
| ~ r(v4,v5)
| ~ r(v0,v4)
| v0 = v4 ),
inference(resolution,[status(thm)],[f504,f38]) ).
fof(f3745,plain,
( ~ sQ75_spl
| ~ r(v2,v5)
| ~ r(v0,v2)
| v0 = v2 ),
inference(resolution,[status(thm)],[f504,f36]) ).
fof(f3746,plain,
( ~ sQ75_spl
| ~ r(v1,v5)
| ~ r(v0,v1)
| v0 = v1 ),
inference(resolution,[status(thm)],[f504,f35]) ).
fof(f3749,plain,
( ~ sQ75_spl
| ~ sQ97_spl
| ~ sQ47_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3743,f954,f319,f662,f503]) ).
fof(f3751,plain,
( ~ sQ75_spl
| ~ sQ85_spl
| ~ sQ12_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f3745,f723,f150,f578,f503]) ).
fof(f3752,plain,
( ~ sQ75_spl
| ~ sQ79_spl
| ~ sQ15_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f3746,f696,f161,f536,f503]) ).
fof(f3758,plain,
( ~ sQ77_spl
| ~ r(v4,v0)
| ~ r(v5,v4)
| v4 = v0 ),
inference(resolution,[status(thm)],[f516,f38]) ).
fof(f3759,plain,
( ~ sQ77_spl
| ~ r(v3,v0)
| ~ r(v5,v3)
| v3 = v0 ),
inference(resolution,[status(thm)],[f516,f37]) ).
fof(f3760,plain,
( ~ sQ77_spl
| ~ r(v2,v0)
| ~ r(v5,v2)
| v2 = v0 ),
inference(resolution,[status(thm)],[f516,f36]) ).
fof(f3761,plain,
( ~ sQ77_spl
| ~ r(v1,v0)
| ~ r(v5,v1)
| v1 = v0 ),
inference(resolution,[status(thm)],[f516,f35]) ).
fof(f3764,plain,
( ~ sQ77_spl
| ~ sQ45_spl
| ~ sQ96_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3758,f954,f659,f313,f515]) ).
fof(f3765,plain,
( ~ sQ77_spl
| ~ sQ22_spl
| ~ sQ90_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3759,f750,f617,f190,f515]) ).
fof(f3766,plain,
( ~ sQ77_spl
| ~ sQ24_spl
| ~ sQ84_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f3760,f723,f575,f198,f515]) ).
fof(f3767,plain,
( ~ sQ77_spl
| ~ sQ25_spl
| ~ sQ78_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f3761,f696,f533,f203,f515]) ).
fof(f3774,plain,
( ~ sQ101_spl
| ~ r(v3,v4)
| ~ r(v5,v3)
| v3 = v4 ),
inference(resolution,[status(thm)],[f684,f37]) ).
fof(f3775,plain,
( ~ sQ101_spl
| ~ r(v2,v4)
| ~ r(v5,v2)
| v2 = v4 ),
inference(resolution,[status(thm)],[f684,f36]) ).
fof(f3776,plain,
( ~ sQ101_spl
| ~ r(v1,v4)
| ~ r(v5,v1)
| v1 = v4 ),
inference(resolution,[status(thm)],[f684,f35]) ).
fof(f3777,plain,
( ~ sQ101_spl
| ~ r(v0,v4)
| ~ r(v5,v0)
| v0 = v4 ),
inference(resolution,[status(thm)],[f684,f34]) ).
fof(f3780,plain,
( ~ sQ101_spl
| ~ sQ65_spl
| ~ sQ90_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f3774,f1083,f617,f446,f683]) ).
fof(f3781,plain,
( ~ sQ101_spl
| ~ sQ59_spl
| ~ sQ84_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f3775,f1040,f575,f403,f683]) ).
fof(f3782,plain,
( ~ sQ101_spl
| ~ sQ53_spl
| ~ sQ78_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f3776,f997,f533,f361,f683]) ).
fof(f3783,plain,
( ~ sQ101_spl
| ~ sQ47_spl
| ~ sQ71_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3777,f954,f488,f319,f683]) ).
fof(f3789,plain,
( ~ sQ99_spl
| ~ r(v3,v5)
| ~ r(v4,v3)
| v4 = v3 ),
inference(resolution,[status(thm)],[f672,f37]) ).
fof(f3790,plain,
( ~ sQ99_spl
| ~ r(v2,v5)
| ~ r(v4,v2)
| v4 = v2 ),
inference(resolution,[status(thm)],[f672,f36]) ).
fof(f3791,plain,
( ~ sQ99_spl
| ~ r(v1,v5)
| ~ r(v4,v1)
| v4 = v1 ),
inference(resolution,[status(thm)],[f672,f35]) ).
fof(f3792,plain,
( ~ sQ99_spl
| ~ r(v0,v5)
| ~ r(v4,v0)
| v4 = v0 ),
inference(resolution,[status(thm)],[f672,f34]) ).
fof(f3795,plain,
( ~ sQ99_spl
| ~ sQ91_spl
| ~ sQ64_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f3789,f1083,f443,f620,f671]) ).
fof(f3796,plain,
( ~ sQ99_spl
| ~ sQ85_spl
| ~ sQ58_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f3790,f1040,f400,f578,f671]) ).
fof(f3797,plain,
( ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ52_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f3791,f997,f358,f536,f671]) ).
fof(f3798,plain,
( ~ sQ99_spl
| ~ sQ73_spl
| ~ sQ45_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3792,f954,f313,f494,f671]) ).
fof(f3854,plain,
( sQ85_spl
| ~ sQ168_spl
| r(v2,v3)
| v2 = v3
| v2 = v5 ),
inference(resolution,[status(thm)],[f1260,f580]) ).
fof(f3855,plain,
( sQ79_spl
| ~ sQ168_spl
| r(v1,v3)
| v1 = v3
| v1 = v5 ),
inference(resolution,[status(thm)],[f1260,f538]) ).
fof(f3857,plain,
( sQ85_spl
| ~ sQ168_spl
| sQ1_spl
| sQ122_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f3854,f1212,f831,f109,f1259,f578]) ).
fof(f3858,plain,
( sQ79_spl
| ~ sQ168_spl
| sQ4_spl
| sQ118_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f3855,f1169,f804,f120,f1259,f536]) ).
fof(f3998,plain,
( ~ sQ49_spl
| ~ r(v3,v4)
| ~ r(v0,v3)
| v0 = v3 ),
inference(resolution,[status(thm)],[f329,f33]) ).
fof(f4000,plain,
( ~ sQ49_spl
| ~ r(v1,v4)
| ~ r(v0,v1)
| v0 = v1 ),
inference(resolution,[status(thm)],[f329,f31]) ).
fof(f4002,plain,
( ~ sQ49_spl
| ~ r(v5,v4)
| ~ r(v0,v5)
| v0 = v5 ),
inference(resolution,[status(thm)],[f329,f38]) ).
fof(f4004,plain,
( ~ sQ49_spl
| ~ sQ65_spl
| ~ sQ10_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3998,f750,f142,f446,f328]) ).
fof(f4006,plain,
( ~ sQ49_spl
| ~ sQ53_spl
| ~ sQ15_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f4000,f696,f161,f361,f328]) ).
fof(f4008,plain,
( ~ sQ49_spl
| ~ sQ96_spl
| ~ sQ73_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f4002,f1126,f494,f659,f328]) ).
fof(f4013,plain,
( ~ sQ51_spl
| ~ r(v5,v0)
| ~ r(v4,v5)
| v5 = v0 ),
inference(resolution,[status(thm)],[f341,f38]) ).
fof(f4016,plain,
( ~ sQ51_spl
| ~ r(v1,v0)
| ~ r(v4,v1)
| v1 = v0 ),
inference(resolution,[status(thm)],[f341,f31]) ).
fof(f4019,plain,
( ~ sQ51_spl
| ~ sQ71_spl
| ~ sQ97_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f4013,f1126,f662,f488,f340]) ).
fof(f4022,plain,
( ~ sQ51_spl
| ~ sQ25_spl
| ~ sQ52_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f4016,f696,f358,f203,f340]) ).
fof(f4057,plain,
! [X0] :
( sQ25_spl
| r(X0,v1)
| r(v0,X0)
| X0 = v1
| v0 = v1
| v0 = X0 ),
inference(resolution,[status(thm)],[f695,f23]) ).
fof(f4064,plain,
( sQ25_spl
| sQ102_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f4057,f861,f696,f203]) ).
fof(f4104,plain,
( sQ97_spl
| ~ sQ160_spl
| r(v1,v4)
| v1 = v4
| v5 = v4 ),
inference(resolution,[status(thm)],[f1184,f1324]) ).
fof(f4105,plain,
( sQ84_spl
| ~ sQ160_spl
| r(v1,v2)
| v1 = v2
| v5 = v2 ),
inference(resolution,[status(thm)],[f1184,f577]) ).
fof(f4107,plain,
( sQ97_spl
| ~ sQ160_spl
| sQ53_spl
| sQ137_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f4104,f1298,f997,f361,f1183,f662]) ).
fof(f4108,plain,
( sQ84_spl
| ~ sQ160_spl
| sQ7_spl
| sQ114_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f4105,f1212,f777,f131,f1183,f575]) ).
fof(f4110,plain,
( sQ47_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1480,f313,f319]) ).
fof(f4111,plain,
( ~ sQ78_spl
| sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f1195]) ).
fof(f4112,plain,
( ~ sQ78_spl
| sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f4111]) ).
fof(f4225,plain,
( sQ97_spl
| ~ sQ159_spl
| r(v4,v1)
| v4 = v1
| v5 = v4 ),
inference(resolution,[status(thm)],[f1179,f1324]) ).
fof(f4226,plain,
( sQ84_spl
| ~ sQ159_spl
| r(v2,v1)
| v2 = v1
| v5 = v2 ),
inference(resolution,[status(thm)],[f1179,f577]) ).
fof(f4228,plain,
( sQ19_spl
| ~ sQ159_spl
| r(v5,v3)
| v3 = v1
| v5 = v3 ),
inference(resolution,[status(thm)],[f1179,f179]) ).
fof(f4230,plain,
( sQ25_spl
| ~ sQ159_spl
| r(v5,v0)
| v0 = v1
| v5 = v0 ),
inference(resolution,[status(thm)],[f1179,f695]) ).
fof(f4231,plain,
( sQ97_spl
| ~ sQ159_spl
| sQ52_spl
| sQ137_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f4225,f1298,f997,f358,f1178,f662]) ).
fof(f4232,plain,
( sQ84_spl
| ~ sQ159_spl
| sQ20_spl
| sQ114_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f4226,f1212,f777,f182,f1178,f575]) ).
fof(f4234,plain,
( sQ19_spl
| ~ sQ159_spl
| sQ90_spl
| sQ118_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f4228,f1255,f804,f617,f1178,f177]) ).
fof(f4236,plain,
( sQ25_spl
| ~ sQ159_spl
| sQ71_spl
| sQ102_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f4230,f1126,f696,f488,f1178,f203]) ).
fof(f4300,plain,
( sQ97_spl
| ~ sQ163_spl
| r(v4,v2)
| v4 = v2
| v4 = v5 ),
inference(resolution,[status(thm)],[f1217,f664]) ).
fof(f4302,plain,
( sQ79_spl
| ~ sQ163_spl
| r(v1,v2)
| v1 = v2
| v1 = v5 ),
inference(resolution,[status(thm)],[f1217,f538]) ).
fof(f4303,plain,
( sQ97_spl
| ~ sQ163_spl
| sQ58_spl
| sQ142_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f4300,f1298,f1040,f400,f1216,f662]) ).
fof(f4305,plain,
( sQ79_spl
| ~ sQ163_spl
| sQ7_spl
| sQ114_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f4302,f1169,f777,f131,f1216,f536]) ).
fof(f4408,plain,
( sQ97_spl
| ~ sQ164_spl
| r(v4,v2)
| v4 = v2
| v5 = v4 ),
inference(resolution,[status(thm)],[f1222,f1324]) ).
fof(f4410,plain,
( sQ18_spl
| ~ sQ164_spl
| r(v5,v3)
| v3 = v2
| v5 = v3 ),
inference(resolution,[status(thm)],[f1222,f174]) ).
fof(f4412,plain,
( sQ97_spl
| ~ sQ164_spl
| sQ58_spl
| sQ142_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f4408,f1298,f1040,f400,f1221,f662]) ).
fof(f4414,plain,
( sQ18_spl
| ~ sQ164_spl
| sQ90_spl
| sQ122_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f4410,f1255,f831,f617,f1221,f172]) ).
fof(f4416,plain,
( sQ97_spl
| ~ sQ165_spl
| r(v2,v4)
| v2 = v4
| v5 = v4 ),
inference(resolution,[status(thm)],[f1227,f1324]) ).
fof(f4418,plain,
( sQ97_spl
| ~ sQ165_spl
| sQ59_spl
| sQ142_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f4416,f1298,f1040,f403,f1226,f662]) ).
fof(f4420,plain,
( sQ18_spl
| ~ sQ166_spl
| r(v3,v5)
| v3 = v5
| v2 = v3 ),
inference(resolution,[status(thm)],[f1243,f2224]) ).
fof(f4422,plain,
( sQ97_spl
| ~ sQ166_spl
| r(v2,v4)
| v4 = v5
| v2 = v4 ),
inference(resolution,[status(thm)],[f1243,f664]) ).
fof(f4424,plain,
( sQ18_spl
| ~ sQ166_spl
| sQ91_spl
| sQ167_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f4420,f831,f1255,f620,f1242,f172]) ).
fof(f4426,plain,
( sQ97_spl
| ~ sQ166_spl
| sQ59_spl
| sQ172_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f4422,f1040,f1298,f403,f1242,f662]) ).
fof(f4440,plain,
( sQ18_spl
| ~ sQ119_spl
| r(v2,v1)
| v2 = v1
| v2 = v3 ),
inference(resolution,[status(thm)],[f809,f2224]) ).
fof(f4442,plain,
( sQ10_spl
| ~ sQ119_spl
| r(v0,v1)
| v0 = v1
| v0 = v3 ),
inference(resolution,[status(thm)],[f809,f144]) ).
fof(f4443,plain,
( sQ18_spl
| ~ sQ119_spl
| sQ20_spl
| sQ114_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f4440,f831,f777,f182,f808,f172]) ).
fof(f4445,plain,
( sQ10_spl
| ~ sQ119_spl
| sQ15_spl
| sQ102_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f4442,f750,f696,f161,f808,f142]) ).
fof(f4446,plain,
$false,
inference(sat_refutation,[status(thm)],[f119,f127,f137,f141,f149,f153,f167,f171,f176,f180,f181,f185,f186,f196,f197,f201,f202,f206,f207,f212,f217,f222,f223,f232,f233,f237,f242,f247,f252,f262,f267,f271,f275,f287,f292,f294,f296,f297,f326,f327,f331,f336,f338,f343,f345,f369,f373,f378,f380,f385,f387,f410,f415,f422,f427,f429,f453,f458,f463,f465,f466,f470,f472,f501,f502,f506,f511,f513,f518,f520,f543,f544,f548,f553,f555,f560,f562,f585,f586,f590,f595,f597,f598,f602,f604,f627,f632,f637,f639,f644,f646,f669,f674,f679,f681,f686,f688,f699,f703,f704,f708,f713,f715,f730,f735,f740,f742,f757,f762,f767,f769,f784,f789,f794,f796,f811,f816,f821,f823,f843,f850,f875,f880,f882,f891,f896,f898,f908,f912,f914,f923,f924,f928,f930,f939,f940,f944,f946,f961,f966,f971,f973,f982,f987,f989,f1009,f1016,f1025,f1030,f1032,f1043,f1047,f1052,f1057,f1059,f1067,f1068,f1073,f1075,f1090,f1102,f1111,f1129,f1133,f1145,f1153,f1154,f1159,f1161,f1176,f1181,f1188,f1197,f1198,f1202,f1204,f1219,f1224,f1229,f1231,f1239,f1240,f1241,f1245,f1247,f1262,f1274,f1283,f1288,f1290,f1305,f1310,f1315,f1317,f1331,f1340,f1341,f1342,f1343,f1355,f1356,f1357,f1358,f1383,f1385,f1386,f1411,f1413,f1415,f1430,f1439,f1440,f1441,f1443,f1471,f1493,f1494,f1496,f1497,f1512,f1528,f1535,f1536,f1537,f1539,f1544,f1571,f1578,f1581,f1600,f1624,f1633,f1634,f1636,f1637,f1642,f1643,f1670,f1690,f1692,f1693,f1694,f1706,f1707,f1709,f1710,f1747,f1748,f1750,f1751,f1779,f1788,f1789,f1790,f1791,f1810,f1811,f1844,f1846,f1847,f1885,f1887,f1889,f1904,f1913,f1915,f1917,f1954,f1956,f1957,f1958,f1986,f1995,f2023,f2027,f2042,f2053,f2055,f2068,f2069,f2070,f2082,f2083,f2084,f2110,f2112,f2124,f2132,f2136,f2137,f2145,f2147,f2148,f2149,f2225,f2245,f2247,f2266,f2267,f2269,f2270,f2298,f2307,f2310,f2311,f2350,f2351,f2353,f2365,f2368,f2369,f2380,f2382,f2383,f2396,f2398,f2399,f2401,f2409,f2410,f2412,f2426,f2441,f2454,f2455,f2457,f2458,f2467,f2469,f2487,f2489,f2490,f2537,f2538,f2539,f2541,f2552,f2555,f2556,f2582,f2583,f2584,f2586,f2601,f2610,f2611,f2613,f2614,f2626,f2627,f2629,f2637,f2645,f2646,f2648,f2656,f2657,f2658,f2674,f2689,f2696,f2767,f2794,f2834,f2836,f2837,f2838,f2870,f2872,f2873,f2933,f2985,f2986,f3012,f3141,f3142,f3143,f3144,f3187,f3202,f3213,f3217,f3245,f3254,f3256,f3257,f3269,f3271,f3272,f3311,f3312,f3360,f3362,f3364,f3372,f3373,f3374,f3375,f3380,f3466,f3467,f3468,f3470,f3494,f3496,f3498,f3535,f3536,f3538,f3648,f3649,f3709,f3710,f3711,f3712,f3749,f3751,f3752,f3764,f3765,f3766,f3767,f3780,f3781,f3782,f3783,f3795,f3796,f3797,f3798,f3857,f3858,f4004,f4006,f4008,f4019,f4022,f4064,f4107,f4108,f4110,f4112,f4231,f4232,f4234,f4236,f4303,f4305,f4412,f4414,f4418,f4424,f4426,f4443,f4445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA117+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n001.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 19:41:42 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 7.31/1.41 % Refutation found
% 7.31/1.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.31/1.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.31/1.44 % Elapsed time: 1.078961 seconds
% 7.31/1.44 % CPU time: 8.211902 seconds
% 7.31/1.44 % Total memory used: 7.752 MB
% 7.31/1.44 % Net memory used: 6.288 MB
%------------------------------------------------------------------------------