%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET610+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 02:10:13 PM UTC 2026
% Result : Theorem 23.02s 3.34s
% Output : CNFRefutation 23.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 88
% Syntax : Number of formulae : 500 ( 22 unt; 80 def)
% Number of atoms : 1656 ( 162 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2012 ( 856 ~;1034 |; 31 &)
% ( 88 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 84 ( 82 usr; 81 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 767 ( 759 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B,C] :
( ! [D] :
( member(D,B)
<=> member(D,C) )
=> B = C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B,C,D] :
( member(D,union(B,C))
<=> ( member(D,C)
| member(D,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B,C,D] :
( member(D,difference(B,C))
<=> ( ~ member(D,C)
& member(D,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [B,C] :
( B = C
<=> ( subset(C,B)
& subset(B,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [B,C] : union(B,C) = union(C,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [B,C] :
( B = C
<=> ! [D] :
( member(D,B)
<=> member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [B,C] :
( subset(B,C)
<=> ! [D] :
( member(D,B)
=> member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,conjecture,
! [B,C] : difference(union(B,C),C) = difference(B,C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ ! [B,C] : difference(union(B,C),C) = difference(B,C),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
! [B,C] :
( B = C
| ? [D] :
( member(D,B)
<~> member(D,C) ) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [B,C] :
( B = C
| ? [D] :
( ( ~ member(D,C)
| ~ member(D,B) )
& ( member(D,C)
| member(D,B) ) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
! [B,C] :
( B = C
| ( ( ~ member(sK0_skl(C,B),C)
| ~ member(sK0_skl(C,B),B) )
& ( member(sK0_skl(C,B),C)
| member(sK0_skl(C,B),B) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( X1 = X0
| member(sK0_skl(X0,X1),X0)
| member(sK0_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( X1 = X0
| ~ member(sK0_skl(X0,X1),X0)
| ~ member(sK0_skl(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f16,plain,
! [B,C,D] :
( ( ( ~ member(D,C)
& ~ member(D,B) )
| member(D,union(B,C)) )
& ( member(D,C)
| member(D,B)
| ~ member(D,union(B,C)) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
( ! [B,C,D] :
( ( ~ member(D,C)
& ~ member(D,B) )
| member(D,union(B,C)) )
& ! [B,C,D] :
( member(D,C)
| member(D,B)
| ~ member(D,union(B,C)) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f18,plain,
! [X0,X1,X2] :
( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ member(X0,X2)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f21,plain,
! [B,C,D] :
( ( member(D,C)
| ~ member(D,B)
| member(D,difference(B,C)) )
& ( ( ~ member(D,C)
& member(D,B) )
| ~ member(D,difference(B,C)) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f22,plain,
( ! [B,C,D] :
( member(D,C)
| ~ member(D,B)
| member(D,difference(B,C)) )
& ! [B,C,D] :
( ( ~ member(D,C)
& member(D,B) )
| ~ member(D,difference(B,C)) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( member(X0,X1)
| ~ member(X0,difference(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ member(X0,X2)
| ~ member(X0,difference(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f25,plain,
! [X0,X1,X2] :
( member(X0,X2)
| ~ member(X0,X1)
| member(X0,difference(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f26,plain,
! [B,C] :
( ( ~ subset(C,B)
| ~ subset(B,C)
| B = C )
& ( ( subset(C,B)
& subset(B,C) )
| B != C ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
( ! [B,C] :
( ~ subset(C,B)
| ~ subset(B,C)
| B = C )
& ! [B,C] :
( ( subset(C,B)
& subset(B,C) )
| B != C ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( subset(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f31,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f32,plain,
! [B,C] :
( ( ? [D] :
( ( member(D,C)
| member(D,B) )
& ( ~ member(D,C)
| ~ member(D,B) ) )
| B = C )
& ( ! [D] :
( ( ~ member(D,C)
| member(D,B) )
& ( member(D,C)
| ~ member(D,B) ) )
| B != C ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f33,plain,
( ! [B,C] :
( ? [D] :
( ( member(D,C)
| member(D,B) )
& ( ~ member(D,C)
| ~ member(D,B) ) )
| B = C )
& ! [B,C] :
( ( ! [D] :
( ~ member(D,C)
| member(D,B) )
& ! [D] :
( member(D,C)
| ~ member(D,B) ) )
| B != C ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f34,plain,
( ! [B,C] :
( ( ( member(sK1_skl(C,B),C)
| member(sK1_skl(C,B),B) )
& ( ~ member(sK1_skl(C,B),C)
| ~ member(sK1_skl(C,B),B) ) )
| B = C )
& ! [B,C] :
( ( ! [D] :
( ~ member(D,C)
| member(D,B) )
& ! [D] :
( member(D,C)
| ~ member(D,B) ) )
| B != C ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B))],[f33]) ).
fof(f37,plain,
! [X0,X1] :
( ~ member(sK1_skl(X1,X0),X1)
| ~ member(sK1_skl(X1,X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f38,plain,
! [X0,X1] :
( member(sK1_skl(X1,X0),X1)
| member(sK1_skl(X1,X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f39,plain,
! [B,C] :
( subset(B,C)
<=> ! [D] :
( member(D,C)
| ~ member(D,B) ) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f40,plain,
! [B,C] :
( ( ? [D] :
( ~ member(D,C)
& member(D,B) )
| subset(B,C) )
& ( ! [D] :
( member(D,C)
| ~ member(D,B) )
| ~ subset(B,C) ) ),
inference(NNF_transformation,[status(thm)],[f39]) ).
fof(f41,plain,
( ! [B,C] :
( ? [D] :
( ~ member(D,C)
& member(D,B) )
| subset(B,C) )
& ! [B,C] :
( ! [D] :
( member(D,C)
| ~ member(D,B) )
| ~ subset(B,C) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f42,plain,
( ! [B,C] :
( ( ~ member(sK2_skl(C,B),C)
& member(sK2_skl(C,B),B) )
| subset(B,C) )
& ! [B,C] :
( ! [D] :
( member(D,C)
| ~ member(D,B) )
| ~ subset(B,C) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(D,sK2_skl(C,B))],[f41]) ).
fof(f43,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( member(sK2_skl(X1,X0),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f45,plain,
! [X0,X1] :
( ~ member(sK2_skl(X1,X0),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f47,plain,
? [B,C] : difference(union(B,C),C) != difference(B,C),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f48,plain,
difference(union(sK3_skl,sK4_skl),sK4_skl) != difference(sK3_skl,sK4_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(B,sK3_skl),skolemize(C,sK4_skl)],[f47]) ).
fof(f49,plain,
difference(union(sK3_skl,sK4_skl),sK4_skl) != difference(sK3_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [X0] : subset(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f28]) ).
fof(f56,plain,
difference(union(sK4_skl,sK3_skl),sK4_skl) != difference(sK3_skl,sK4_skl),
inference(paramodulation,[status(thm)],[f31,f49]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,difference(difference(X2,X1),X3))
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f24,f23]) ).
fof(f73,plain,
( ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),difference(sK3_skl,sK4_skl))
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
inference(resolution,[status(thm)],[f15,f49]) ).
fof(f74,plain,
( ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl))
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(resolution,[status(thm)],[f15,f49]) ).
fof(f75,definition,
( sQ2_spl
<=> member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f76,plain,
( ~ sQ2_spl
| member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f77,plain,
( sQ2_spl
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,definition,
( sQ3_spl
<=> member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),difference(sK3_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( ~ sQ3_spl
| member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f80,plain,
( sQ3_spl
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f73,f75,f78]) ).
fof(f82,definition,
( sQ4_spl
<=> member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ4_spl
| member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f84,plain,
( sQ4_spl
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,definition,
( sQ5_spl
<=> member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ5_spl
| member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f87,plain,
( sQ5_spl
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f74,f82,f85]) ).
fof(f90,plain,
( ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl))
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(resolution,[status(thm)],[f37,f49]) ).
fof(f98,definition,
( sQ8_spl
<=> member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( sQ8_spl
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,definition,
( sQ9_spl
<=> member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ9_spl
| member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f103,plain,
( sQ9_spl
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,plain,
( ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f90,f98,f101]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ~ member(X3,X2)
| ~ member(X3,X0)
| ~ subset(X0,difference(X1,X2)) ),
inference(resolution,[status(thm)],[f43,f24]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ member(sK0_skl(X0,difference(X1,X2)),X2)
| difference(X1,X2) = X0
| member(sK0_skl(X0,difference(X1,X2)),X0) ),
inference(resolution,[status(thm)],[f14,f24]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ~ member(sK0_skl(difference(X2,X3),difference(X0,X1)),X3)
| ~ member(sK0_skl(difference(X2,X3),difference(X0,X1)),X1)
| difference(X0,X1) = difference(X2,X3) ),
inference(resolution,[status(thm)],[f109,f24]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ member(sK1_skl(X2,difference(X0,X1)),X1)
| member(sK1_skl(X2,difference(X0,X1)),X2)
| difference(X0,X1) = X2 ),
inference(resolution,[status(thm)],[f38,f24]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ~ member(sK1_skl(difference(X2,X3),difference(X0,X1)),X3)
| ~ member(sK1_skl(difference(X2,X3),difference(X0,X1)),X1)
| difference(X0,X1) = difference(X2,X3) ),
inference(resolution,[status(thm)],[f111,f24]) ).
fof(f116,plain,
( ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK4_skl,sK3_skl),sK4_skl))
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(resolution,[status(thm)],[f56,f37]) ).
fof(f117,plain,
( ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK4_skl,sK3_skl),sK4_skl))
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(resolution,[status(thm)],[f56,f15]) ).
fof(f140,definition,
( sQ16_spl
<=> member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( sQ16_spl
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ17_spl
<=> member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK4_skl,sK3_skl),sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ17_spl
| member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK4_skl,sK3_skl),sK4_skl)) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f116,f140,f143]) ).
fof(f147,definition,
( sQ18_spl
<=> member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( sQ18_spl
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,definition,
( sQ19_spl
<=> member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK4_skl,sK3_skl),sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ19_spl
| member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK4_skl,sK3_skl),sK4_skl)) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f117,f147,f150]) ).
fof(f159,plain,
( sQ4_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
inference(resolution,[status(thm)],[f84,f14]) ).
fof(f160,plain,
( sQ4_spl
| member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl)
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK3_skl) ),
inference(resolution,[status(thm)],[f84,f25]) ).
fof(f165,plain,
( sQ4_spl
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(paramodulation,[status(thm)],[f31,f84]) ).
fof(f166,definition,
( sQ20_spl
<=> difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ20_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,plain,
( sQ4_spl
| sQ20_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f159,f85,f166,f82]) ).
fof(f170,definition,
( sQ21_spl
<=> member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( sQ21_spl
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK3_skl) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,definition,
( sQ22_spl
<=> member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( sQ4_spl
| sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f160,f170,f173,f82]) ).
fof(f177,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f167,f49]) ).
fof(f178,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f177]) ).
fof(f179,plain,
( sQ8_spl
| member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl))
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl) ),
inference(resolution,[status(thm)],[f100,f38]) ).
fof(f180,plain,
( sQ8_spl
| member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl)
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK3_skl) ),
inference(resolution,[status(thm)],[f100,f25]) ).
fof(f185,plain,
( sQ8_spl
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(paramodulation,[status(thm)],[f31,f100]) ).
fof(f186,plain,
( sQ8_spl
| sQ9_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f179,f166,f101,f98]) ).
fof(f187,definition,
( sQ23_spl
<=> member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( sQ23_spl
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK3_skl) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,definition,
( sQ24_spl
<=> member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( sQ8_spl
| sQ24_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f180,f187,f190,f98]) ).
fof(f194,plain,
( sQ18_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK4_skl,sK3_skl),sK4_skl)) ),
inference(resolution,[status(thm)],[f149,f14]) ).
fof(f195,plain,
( sQ18_spl
| member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK3_skl) ),
inference(resolution,[status(thm)],[f149,f25]) ).
fof(f199,definition,
( sQ25_spl
<=> difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ25_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( sQ18_spl
| sQ25_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f194,f150,f199,f147]) ).
fof(f203,definition,
( sQ26_spl
<=> member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( sQ26_spl
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK3_skl) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,definition,
( sQ27_spl
<=> member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( sQ18_spl
| sQ27_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f195,f203,f206,f147]) ).
fof(f210,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f200,f56]) ).
fof(f211,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f210]) ).
fof(f212,plain,
( sQ16_spl
| member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK4_skl,sK3_skl),sK4_skl))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl) ),
inference(resolution,[status(thm)],[f142,f38]) ).
fof(f213,plain,
( sQ16_spl
| member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK3_skl) ),
inference(resolution,[status(thm)],[f142,f25]) ).
fof(f217,plain,
( sQ16_spl
| sQ17_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f212,f199,f143,f140]) ).
fof(f218,definition,
( sQ28_spl
<=> member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( sQ28_spl
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK3_skl) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,definition,
( sQ29_spl
<=> member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( sQ16_spl
| sQ29_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f213,f218,f221,f140]) ).
fof(f241,plain,
( sQ2_spl
| difference(union(sK3_skl,sK4_skl),sK4_skl) = difference(sK3_skl,sK4_skl)
| member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(resolution,[status(thm)],[f77,f14]) ).
fof(f242,plain,
( sQ2_spl
| member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),sK4_skl)
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),union(sK3_skl,sK4_skl)) ),
inference(resolution,[status(thm)],[f77,f25]) ).
fof(f250,plain,
( sQ2_spl
| sQ20_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f241,f78,f166,f75]) ).
fof(f251,definition,
( sQ32_spl
<=> member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),union(sK3_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( sQ32_spl
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),union(sK3_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
( sQ33_spl
<=> member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( sQ33_spl
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),sK4_skl) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( sQ2_spl
| sQ33_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f242,f251,f254,f75]) ).
fof(f271,definition,
( sQ35_spl
<=> member(sK1_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ4_spl
| member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,sK4_skl)) ),
inference(paramodulation,[status(thm)],[f31,f83]) ).
fof(f279,plain,
( sQ5_spl
| member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl)
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),union(sK3_skl,sK4_skl)) ),
inference(resolution,[status(thm)],[f87,f25]) ).
fof(f288,definition,
( sQ36_spl
<=> member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),union(sK3_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( sQ5_spl
| sQ22_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f279,f288,f173,f85]) ).
fof(f292,plain,
( sQ4_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f165,f147,f82]) ).
fof(f298,plain,
( sQ9_spl
| member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl)
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),union(sK3_skl,sK4_skl)) ),
inference(resolution,[status(thm)],[f103,f25]) ).
fof(f307,definition,
( sQ37_spl
<=> member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),union(sK3_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( sQ9_spl
| sQ24_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f298,f307,f190,f101]) ).
fof(f311,plain,
( sQ8_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f185,f140,f98]) ).
fof(f332,plain,
! [X0] :
( sQ21_spl
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,X0)) ),
inference(resolution,[status(thm)],[f172,f23]) ).
fof(f337,plain,
! [X0] :
( sQ26_spl
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,X0)) ),
inference(resolution,[status(thm)],[f205,f23]) ).
fof(f340,plain,
! [X0] :
( sQ23_spl
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,X0)) ),
inference(resolution,[status(thm)],[f189,f23]) ).
fof(f345,plain,
! [X0] :
( sQ28_spl
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK3_skl,X0)) ),
inference(resolution,[status(thm)],[f220,f23]) ).
fof(f346,plain,
( sQ21_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
inference(resolution,[status(thm)],[f332,f14]) ).
fof(f353,plain,
( sQ21_spl
| sQ20_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f346,f85,f166,f170]) ).
fof(f354,definition,
! [X0] :
( sQ38_spl
<=> member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f355,plain,
! [X0] :
( ~ sQ38_spl
| member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f360,plain,
( sQ26_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK4_skl,sK3_skl),sK4_skl)) ),
inference(resolution,[status(thm)],[f337,f14]) ).
fof(f365,plain,
( sQ26_spl
| sQ25_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f360,f150,f199,f203]) ).
fof(f370,plain,
( sQ23_spl
| member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl))
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl) ),
inference(resolution,[status(thm)],[f340,f38]) ).
fof(f377,plain,
( sQ23_spl
| sQ9_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f370,f166,f101,f187]) ).
fof(f378,definition,
! [X0] :
( sQ40_spl
<=> member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f379,plain,
! [X0] :
( ~ sQ40_spl
| member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f382,plain,
( ~ sQ5_spl
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl) ),
inference(resolution,[status(thm)],[f86,f24]) ).
fof(f383,plain,
( ~ sQ5_spl
| member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
inference(paramodulation,[status(thm)],[f31,f86]) ).
fof(f385,plain,
( ~ sQ5_spl
| member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK4_skl,sK3_skl),sK4_skl)) ),
inference(paramodulation,[status(thm)],[f31,f86]) ).
fof(f390,plain,
( ~ sQ9_spl
| member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
inference(paramodulation,[status(thm)],[f31,f102]) ).
fof(f392,plain,
( ~ sQ9_spl
| member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK4_skl,sK3_skl),sK4_skl)) ),
inference(paramodulation,[status(thm)],[f31,f102]) ).
fof(f433,definition,
( sQ42_spl
<=> member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK4_skl,sK3_skl),sK4_skl)),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f448,definition,
( sQ44_spl
<=> member(sK1_skl(difference(sK3_skl,sK4_skl),difference(union(sK4_skl,sK3_skl),sK4_skl)),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( sQ32_spl
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),sK3_skl) ),
inference(resolution,[status(thm)],[f253,f19]) ).
fof(f476,plain,
! [X0] :
( sQ32_spl
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),difference(union(sK3_skl,sK4_skl),X0)) ),
inference(resolution,[status(thm)],[f253,f23]) ).
fof(f492,plain,
! [X0] :
( ~ sQ5_spl
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(sK4_skl,X0)) ),
inference(resolution,[status(thm)],[f382,f23]) ).
fof(f497,plain,
( ~ sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f277,f147,f82]) ).
fof(f511,plain,
! [X0,X1,X2,X3,X4] :
( ~ member(X0,X2)
| ~ subset(X2,difference(difference(X3,X1),X4))
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f62,f43]) ).
fof(f513,plain,
! [X0,X1,X2,X3] :
( ~ member(sK2_skl(difference(X3,X2),X1),difference(X3,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f105,f45]) ).
fof(f518,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,X1)) ),
inference(resolution,[status(thm)],[f105,f102]) ).
fof(f522,plain,
! [X0,X1,X2,X3] :
( member(sK1_skl(X3,X0),X3)
| X0 = X3
| ~ member(sK1_skl(X3,X0),X2)
| ~ subset(X0,difference(X1,X2)) ),
inference(resolution,[status(thm)],[f105,f38]) ).
fof(f524,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,X1)) ),
inference(resolution,[status(thm)],[f105,f86]) ).
fof(f529,plain,
! [X0,X1,X2] :
( X0 = X2
| member(sK0_skl(X2,X0),X2)
| ~ subset(X0,difference(X1,X0)) ),
inference(resolution,[status(thm)],[f105,f14]) ).
fof(f530,plain,
! [X0,X1,X2,X3] :
( X0 = X3
| member(sK0_skl(X3,X0),X3)
| ~ member(sK0_skl(X3,X0),X2)
| ~ subset(X0,difference(X1,X2)) ),
inference(resolution,[status(thm)],[f105,f14]) ).
fof(f531,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,difference(X1,X0)) ),
inference(resolution,[status(thm)],[f105,f44]) ).
fof(f536,plain,
! [X0,X1,X2,X3,X4] :
( ~ member(X4,X1)
| ~ member(X4,X3)
| ~ subset(union(X0,X1),difference(X2,X3)) ),
inference(resolution,[status(thm)],[f105,f20]) ).
fof(f538,plain,
! [X0,X1,X2,X3,X4] :
( ~ member(X4,X0)
| ~ member(X4,X3)
| ~ subset(union(X0,X1),difference(X2,X3)) ),
inference(resolution,[status(thm)],[f105,f19]) ).
fof(f548,plain,
! [X0,X1,X2,X3] :
( member(sK1_skl(X3,X2),X3)
| X2 = X3
| ~ member(sK1_skl(X3,X2),X0)
| ~ subset(X0,difference(X1,X2)) ),
inference(resolution,[status(thm)],[f105,f38]) ).
fof(f552,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| member(sK0_skl(X3,X2),X3)
| ~ member(sK0_skl(X3,X2),X0)
| ~ subset(X0,difference(X1,X2)) ),
inference(resolution,[status(thm)],[f105,f14]) ).
fof(f595,plain,
( ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK4_skl,sK3_skl),sK4_skl)),sK4_skl)
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK4_skl,sK3_skl),sK4_skl)),sK4_skl) ),
inference(resolution,[status(thm)],[f110,f56]) ).
fof(f596,plain,
( ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),sK4_skl)
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),sK4_skl) ),
inference(resolution,[status(thm)],[f110,f49]) ).
fof(f597,plain,
( ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl) ),
inference(resolution,[status(thm)],[f110,f56]) ).
fof(f598,plain,
( ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl)
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl) ),
inference(resolution,[status(thm)],[f110,f49]) ).
fof(f599,plain,
~ sQ42_spl,
inference(split_clause,[status(thm)],[f595,f433]) ).
fof(f600,plain,
~ sQ33_spl,
inference(split_clause,[status(thm)],[f596,f254]) ).
fof(f601,plain,
~ sQ27_spl,
inference(split_clause,[status(thm)],[f597,f206]) ).
fof(f602,plain,
~ sQ22_spl,
inference(split_clause,[status(thm)],[f598,f173]) ).
fof(f603,plain,
( ~ member(sK1_skl(difference(sK3_skl,sK4_skl),difference(union(sK4_skl,sK3_skl),sK4_skl)),sK4_skl)
| ~ member(sK1_skl(difference(sK3_skl,sK4_skl),difference(union(sK4_skl,sK3_skl),sK4_skl)),sK4_skl) ),
inference(resolution,[status(thm)],[f112,f56]) ).
fof(f604,plain,
( ~ member(sK1_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),sK4_skl)
| ~ member(sK1_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),sK4_skl) ),
inference(resolution,[status(thm)],[f112,f49]) ).
fof(f605,plain,
( ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl) ),
inference(resolution,[status(thm)],[f112,f56]) ).
fof(f606,plain,
( ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl)
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),sK4_skl) ),
inference(resolution,[status(thm)],[f112,f49]) ).
fof(f607,plain,
~ sQ44_spl,
inference(split_clause,[status(thm)],[f603,f448]) ).
fof(f608,plain,
~ sQ35_spl,
inference(split_clause,[status(thm)],[f604,f271]) ).
fof(f609,plain,
~ sQ29_spl,
inference(split_clause,[status(thm)],[f605,f221]) ).
fof(f610,plain,
~ sQ24_spl,
inference(split_clause,[status(thm)],[f606,f190]) ).
fof(f614,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(X0,difference(X1,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f151,f105]) ).
fof(f616,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,X1)) ),
inference(resolution,[status(thm)],[f151,f105]) ).
fof(f714,plain,
! [X0,X1] :
( ~ sQ17_spl
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(X0,difference(X1,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f144,f105]) ).
fof(f716,plain,
! [X0,X1] :
( ~ sQ17_spl
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,X1)) ),
inference(resolution,[status(thm)],[f144,f105]) ).
fof(f757,definition,
! [X0] :
( sQ50_spl
<=> ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f761,definition,
( sQ51_spl
<=> subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( sQ51_spl
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)) ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f765,plain,
( sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f763,f50]) ).
fof(f766,plain,
sQ51_spl,
inference(contradiction_clause,[status(thm)],[f765]) ).
fof(f767,plain,
( ~ sQ2_spl
| sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f76,f476]) ).
fof(f768,plain,
( ~ sQ2_spl
| sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f767]) ).
fof(f778,plain,
! [X0] :
( sQ3_spl
| difference(union(sK3_skl,sK4_skl),sK4_skl) = difference(sK3_skl,sK4_skl)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f80,f529]) ).
fof(f779,plain,
( sQ3_spl
| member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),sK4_skl)
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),sK3_skl) ),
inference(resolution,[status(thm)],[f80,f25]) ).
fof(f790,plain,
( sQ3_spl
| sQ20_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f778,f757,f166,f78]) ).
fof(f791,definition,
( sQ52_spl
<=> member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f793,plain,
( sQ52_spl
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),sK3_skl) ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,plain,
( sQ3_spl
| sQ33_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f779,f791,f254,f78]) ).
fof(f938,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(X0,difference(X1,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f390,f105]) ).
fof(f940,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,X1)) ),
inference(resolution,[status(thm)],[f390,f105]) ).
fof(f970,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(X0,difference(X1,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f383,f105]) ).
fof(f972,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,X1)) ),
inference(resolution,[status(thm)],[f383,f105]) ).
fof(f1014,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(X1,X2))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,X1)) ),
inference(resolution,[status(thm)],[f518,f23]) ).
fof(f1019,definition,
! [X0] :
( sQ56_spl
<=> ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1020,plain,
! [X0] :
( ~ sQ56_spl
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ),
inference(component_clause,[status(thm)],[f1019]) ).
fof(f1028,definition,
! [X1,X2] :
( sQ58_spl
<=> ( ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(X2,difference(sK3_skl,sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1032,definition,
! [X1,X2] :
( sQ59_spl
<=> ( ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(difference(sK3_skl,sK4_skl),difference(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( ~ sQ9_spl
| ~ sQ56_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f392,f1020]) ).
fof(f1046,plain,
( ~ sQ9_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1044]) ).
fof(f1062,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X1,difference(union(sK3_skl,sK4_skl),sK4_skl)))
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ),
inference(resolution,[status(thm)],[f524,f531]) ).
fof(f1079,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(X1,X2))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,X1)) ),
inference(resolution,[status(thm)],[f524,f23]) ).
fof(f1084,definition,
! [X0] :
( sQ62_spl
<=> ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ62_spl
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1087,plain,
( ~ sQ5_spl
| sQ50_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1062,f1084,f757,f85]) ).
fof(f1090,definition,
! [X1,X2] :
( sQ63_spl
<=> ( ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(X2,difference(sK3_skl,sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1094,definition,
! [X1,X2] :
( sQ64_spl
<=> ( ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(difference(sK3_skl,sK4_skl),difference(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1100,plain,
( ~ sQ5_spl
| ~ sQ62_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f385,f1085]) ).
fof(f1102,plain,
( ~ sQ5_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1100]) ).
fof(f1271,plain,
! [X0] :
( sQ52_spl
| member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),X0)
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),union(sK3_skl,X0)) ),
inference(resolution,[status(thm)],[f793,f18]) ).
fof(f1273,plain,
! [X0] :
( sQ52_spl
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),difference(sK3_skl,X0)) ),
inference(resolution,[status(thm)],[f793,f23]) ).
fof(f1276,plain,
( ~ sQ3_spl
| sQ52_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f79,f1273]) ).
fof(f1277,plain,
( ~ sQ3_spl
| sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1276]) ).
fof(f1278,plain,
( sQ32_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f473,f791,f251]) ).
fof(f1502,plain,
( sQ28_spl
| member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),difference(union(sK4_skl,sK3_skl),sK4_skl))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl) ),
inference(resolution,[status(thm)],[f345,f38]) ).
fof(f1509,plain,
( sQ28_spl
| sQ17_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1502,f199,f143,f218]) ).
fof(f1605,definition,
( sQ72_spl
<=> subset(difference(sK3_skl,sK4_skl),difference(sK3_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1607,plain,
( sQ72_spl
| ~ subset(difference(sK3_skl,sK4_skl),difference(sK3_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f1605]) ).
fof(f1612,plain,
( sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1607,f50]) ).
fof(f1613,plain,
sQ72_spl,
inference(contradiction_clause,[status(thm)],[f1612]) ).
fof(f1757,plain,
! [X0,X1,X2,X3,X4] :
( member(sK1_skl(X4,X2),X4)
| X2 = X4
| ~ member(sK1_skl(X4,X2),X0)
| ~ subset(X0,difference(difference(X1,X2),X3)) ),
inference(resolution,[status(thm)],[f511,f38]) ).
fof(f1787,plain,
! [X0,X1,X2,X3,X4] :
( X2 = X4
| member(sK0_skl(X4,X2),X4)
| ~ member(sK0_skl(X4,X2),X0)
| ~ subset(X0,difference(difference(X1,X2),X3)) ),
inference(resolution,[status(thm)],[f511,f14]) ).
fof(f1788,plain,
! [X0,X1,X2,X3] :
( subset(X0,X3)
| ~ subset(X0,difference(difference(X1,X0),X2)) ),
inference(resolution,[status(thm)],[f511,f44]) ).
fof(f1821,plain,
! [X0,X1,X2,X3,X4] :
( member(sK1_skl(X0,X1),X0)
| X1 = X0
| ~ subset(X1,difference(difference(X3,X2),X4))
| ~ member(sK1_skl(X0,X1),X2) ),
inference(resolution,[status(thm)],[f511,f38]) ).
fof(f1836,plain,
! [X0,X1,X2,X3,X4] :
( X1 = X0
| member(sK0_skl(X0,X1),X0)
| ~ subset(X1,difference(difference(X3,X2),X4))
| ~ member(sK0_skl(X0,X1),X2) ),
inference(resolution,[status(thm)],[f511,f14]) ).
fof(f1870,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl)),X1)) ),
inference(resolution,[status(thm)],[f1788,f524]) ).
fof(f1871,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl)),X1)) ),
inference(resolution,[status(thm)],[f1788,f518]) ).
fof(f1879,definition,
! [X0,X1] :
( sQ76_spl
<=> ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl)),X1)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1882,plain,
( ~ sQ5_spl
| sQ62_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f1870,f1879,f1084,f85]) ).
fof(f1883,plain,
( ~ sQ9_spl
| sQ56_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f1871,f1879,f1019,f101]) ).
fof(f1916,plain,
! [X0,X1,X2,X3] :
( member(sK1_skl(X0,X1),X0)
| X1 = X0
| ~ member(sK2_skl(difference(X3,X2),X1),difference(X3,X2))
| ~ member(sK1_skl(X0,X1),X2) ),
inference(resolution,[status(thm)],[f513,f38]) ).
fof(f1946,plain,
! [X0,X1,X2,X3] :
( X1 = X0
| member(sK0_skl(X0,X1),X0)
| ~ member(sK2_skl(difference(X3,X2),X1),difference(X3,X2))
| ~ member(sK0_skl(X0,X1),X2) ),
inference(resolution,[status(thm)],[f513,f14]) ).
fof(f1976,plain,
! [X0,X1,X2,X3] :
( member(sK1_skl(X0,X1),X0)
| X1 = X0
| ~ member(sK2_skl(difference(X3,X1),X2),difference(X3,X1))
| ~ member(sK1_skl(X0,X1),X2) ),
inference(resolution,[status(thm)],[f513,f38]) ).
fof(f1991,plain,
! [X0,X1,X2,X3] :
( X1 = X0
| member(sK0_skl(X0,X1),X0)
| ~ member(sK2_skl(difference(X3,X1),X2),difference(X3,X1))
| ~ member(sK0_skl(X0,X1),X2) ),
inference(resolution,[status(thm)],[f513,f14]) ).
fof(f2024,definition,
! [X0,X1] :
( sQ80_spl
<=> ( ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f2044,definition,
! [X0,X1] :
( sQ84_spl
<=> ( ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f2070,definition,
! [X0,X1,X2] :
( sQ86_spl
<=> ( ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(X0,difference(difference(X1,difference(sK3_skl,sK4_skl)),X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f2097,definition,
! [X0,X1,X2] :
( sQ88_spl
<=> ( ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(X0,difference(difference(X1,difference(sK3_skl,sK4_skl)),X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f2124,definition,
! [X0,X1,X2] :
( sQ90_spl
<=> ( ~ subset(difference(sK3_skl,sK4_skl),difference(difference(X1,X0),X2))
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f2151,definition,
! [X0,X1,X2] :
( sQ92_spl
<=> ( ~ subset(difference(sK3_skl,sK4_skl),difference(difference(X1,X0),X2))
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f2208,definition,
! [X0,X1] :
( sQ94_spl
<=> ( ~ member(sK2_skl(difference(X1,X0),difference(sK3_skl,sK4_skl)),difference(X1,X0))
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f2235,definition,
! [X0,X1] :
( sQ96_spl
<=> ( ~ member(sK2_skl(difference(X1,X0),difference(sK3_skl,sK4_skl)),difference(X1,X0))
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f2262,definition,
! [X0,X1] :
( sQ98_spl
<=> ( ~ member(sK2_skl(difference(X1,difference(sK3_skl,sK4_skl)),X0),difference(X1,difference(sK3_skl,sK4_skl)))
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f2289,definition,
! [X0,X1] :
( sQ100_spl
<=> ( ~ member(sK2_skl(difference(X1,difference(sK3_skl,sK4_skl)),X0),difference(X1,difference(sK3_skl,sK4_skl)))
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f2399,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,difference(sK3_skl,sK4_skl)),X1),difference(X2,difference(sK3_skl,sK4_skl)))
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f614,f1991]) ).
fof(f2400,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,X1),difference(sK3_skl,sK4_skl)),difference(X2,X1))
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f614,f1946]) ).
fof(f2401,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(difference(sK3_skl,sK4_skl),difference(difference(X2,X1),X3))
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f614,f1836]) ).
fof(f2402,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(difference(X2,difference(sK3_skl,sK4_skl)),X3))
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f614,f1787]) ).
fof(f2403,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(X2,difference(sK3_skl,sK4_skl)))
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f614,f552]) ).
fof(f2404,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(difference(sK3_skl,sK4_skl),difference(X1,X2))
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f614,f530]) ).
fof(f2414,definition,
! [X0] :
( sQ103_spl
<=> ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f2418,definition,
! [X1,X2] :
( sQ104_spl
<=> ( ~ member(sK2_skl(difference(X2,difference(sK3_skl,sK4_skl)),X1),difference(X2,difference(sK3_skl,sK4_skl)))
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f2421,plain,
( ~ sQ19_spl
| sQ25_spl
| sQ104_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2399,f2414,f2418,f199,f150]) ).
fof(f2422,definition,
! [X1,X2] :
( sQ105_spl
<=> ( ~ member(sK2_skl(difference(X2,X1),difference(sK3_skl,sK4_skl)),difference(X2,X1))
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f2425,plain,
( ~ sQ19_spl
| sQ25_spl
| sQ105_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2400,f2414,f2422,f199,f150]) ).
fof(f2426,definition,
! [X1,X2,X3] :
( sQ106_spl
<=> ( ~ subset(difference(sK3_skl,sK4_skl),difference(difference(X2,X1),X3))
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f2429,plain,
( ~ sQ19_spl
| sQ25_spl
| sQ106_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2401,f2414,f2426,f199,f150]) ).
fof(f2430,definition,
! [X1,X2,X3] :
( sQ107_spl
<=> ( ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(difference(X2,difference(sK3_skl,sK4_skl)),X3)) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f2433,plain,
( ~ sQ19_spl
| sQ25_spl
| sQ107_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2402,f2414,f2430,f199,f150]) ).
fof(f2434,definition,
! [X1,X2] :
( sQ108_spl
<=> ( ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(X2,difference(sK3_skl,sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f2437,plain,
( ~ sQ19_spl
| sQ25_spl
| sQ108_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2403,f2414,f2434,f199,f150]) ).
fof(f2438,definition,
! [X1,X2] :
( sQ109_spl
<=> ( ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(difference(sK3_skl,sK4_skl),difference(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f2441,plain,
( ~ sQ19_spl
| sQ25_spl
| sQ109_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2404,f2414,f2438,f199,f150]) ).
fof(f2485,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,difference(sK3_skl,sK4_skl)),X1),difference(X2,difference(sK3_skl,sK4_skl)))
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f714,f1976]) ).
fof(f2486,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,X1),difference(sK3_skl,sK4_skl)),difference(X2,X1))
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f714,f1916]) ).
fof(f2487,plain,
! [X0,X1,X2,X3] :
( ~ sQ17_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(difference(sK3_skl,sK4_skl),difference(difference(X2,X1),X3))
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f714,f1821]) ).
fof(f2488,plain,
! [X0,X1,X2,X3] :
( ~ sQ17_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(difference(X2,difference(sK3_skl,sK4_skl)),X3))
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f714,f1757]) ).
fof(f2489,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(X2,difference(sK3_skl,sK4_skl)))
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f714,f548]) ).
fof(f2490,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(difference(sK3_skl,sK4_skl),difference(X1,X2))
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f714,f522]) ).
fof(f2501,definition,
! [X1,X2] :
( sQ112_spl
<=> ( ~ member(sK2_skl(difference(X2,difference(sK3_skl,sK4_skl)),X1),difference(X2,difference(sK3_skl,sK4_skl)))
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f2504,plain,
( ~ sQ17_spl
| sQ25_spl
| sQ112_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2485,f2414,f2501,f199,f143]) ).
fof(f2505,definition,
! [X1,X2] :
( sQ113_spl
<=> ( ~ member(sK2_skl(difference(X2,X1),difference(sK3_skl,sK4_skl)),difference(X2,X1))
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f2508,plain,
( ~ sQ17_spl
| sQ25_spl
| sQ113_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2486,f2414,f2505,f199,f143]) ).
fof(f2509,definition,
! [X1,X2,X3] :
( sQ114_spl
<=> ( ~ subset(difference(sK3_skl,sK4_skl),difference(difference(X2,X1),X3))
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f2512,plain,
( ~ sQ17_spl
| sQ25_spl
| sQ114_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2487,f2414,f2509,f199,f143]) ).
fof(f2513,definition,
! [X1,X2,X3] :
( sQ115_spl
<=> ( ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(difference(X2,difference(sK3_skl,sK4_skl)),X3)) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f2516,plain,
( ~ sQ17_spl
| sQ25_spl
| sQ115_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2488,f2414,f2513,f199,f143]) ).
fof(f2517,definition,
! [X1,X2] :
( sQ116_spl
<=> ( ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(X2,difference(sK3_skl,sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f2520,plain,
( ~ sQ17_spl
| sQ25_spl
| sQ116_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2489,f2414,f2517,f199,f143]) ).
fof(f2521,definition,
! [X1,X2] :
( sQ117_spl
<=> ( ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(difference(sK3_skl,sK4_skl),difference(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f2524,plain,
( ~ sQ17_spl
| sQ25_spl
| sQ117_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2490,f2414,f2521,f199,f143]) ).
fof(f2901,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,difference(sK3_skl,sK4_skl)),X1),difference(X2,difference(sK3_skl,sK4_skl)))
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f938,f1976]) ).
fof(f2902,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,X1),difference(sK3_skl,sK4_skl)),difference(X2,X1))
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f938,f1916]) ).
fof(f2903,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(difference(sK3_skl,sK4_skl),difference(difference(X2,X1),X3))
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f938,f1821]) ).
fof(f2904,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(difference(X2,difference(sK3_skl,sK4_skl)),X3))
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f938,f1757]) ).
fof(f2905,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(X2,difference(sK3_skl,sK4_skl)))
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f938,f548]) ).
fof(f2906,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(difference(sK3_skl,sK4_skl),difference(X1,X2))
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f938,f522]) ).
fof(f2918,definition,
! [X0] :
( sQ123_spl
<=> ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f2922,plain,
( ~ sQ9_spl
| sQ25_spl
| sQ112_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2901,f2918,f2501,f199,f101]) ).
fof(f2923,plain,
( ~ sQ9_spl
| sQ25_spl
| sQ113_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2902,f2918,f2505,f199,f101]) ).
fof(f2924,plain,
( ~ sQ9_spl
| sQ25_spl
| sQ114_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2903,f2918,f2509,f199,f101]) ).
fof(f2925,plain,
( ~ sQ9_spl
| sQ25_spl
| sQ115_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2904,f2918,f2513,f199,f101]) ).
fof(f2926,plain,
( ~ sQ9_spl
| sQ25_spl
| sQ116_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2905,f2918,f2517,f199,f101]) ).
fof(f2927,plain,
( ~ sQ9_spl
| sQ25_spl
| sQ117_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2906,f2918,f2521,f199,f101]) ).
fof(f2935,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,difference(sK3_skl,sK4_skl)),X1),difference(X2,difference(sK3_skl,sK4_skl)))
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f940,f1976]) ).
fof(f2936,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,X1),difference(sK3_skl,sK4_skl)),difference(X2,X1))
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f940,f1916]) ).
fof(f2937,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(difference(sK3_skl,sK4_skl),difference(difference(X2,X1),X3))
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f940,f1821]) ).
fof(f2938,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(difference(X2,difference(sK3_skl,sK4_skl)),X3))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f940,f1757]) ).
fof(f2939,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(X2,difference(sK3_skl,sK4_skl)))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f940,f548]) ).
fof(f2940,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(difference(sK3_skl,sK4_skl),difference(X1,X2))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f940,f522]) ).
fof(f2952,definition,
! [X0] :
( sQ124_spl
<=> ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f2956,plain,
( ~ sQ9_spl
| sQ25_spl
| sQ112_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f2935,f2952,f2501,f199,f101]) ).
fof(f2957,plain,
( ~ sQ9_spl
| sQ25_spl
| sQ113_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f2936,f2952,f2505,f199,f101]) ).
fof(f2958,plain,
( ~ sQ9_spl
| sQ25_spl
| sQ114_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f2937,f2952,f2509,f199,f101]) ).
fof(f2959,plain,
( ~ sQ9_spl
| sQ25_spl
| sQ115_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f2938,f2952,f2513,f199,f101]) ).
fof(f2960,plain,
( ~ sQ9_spl
| sQ25_spl
| sQ116_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f2939,f2952,f2517,f199,f101]) ).
fof(f2961,plain,
( ~ sQ9_spl
| sQ25_spl
| sQ117_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f2940,f2952,f2521,f199,f101]) ).
fof(f2970,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,difference(sK3_skl,sK4_skl)),X1),difference(X2,difference(sK3_skl,sK4_skl)))
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f970,f1991]) ).
fof(f2971,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,X1),difference(sK3_skl,sK4_skl)),difference(X2,X1))
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f970,f1946]) ).
fof(f2972,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(difference(sK3_skl,sK4_skl),difference(difference(X2,X1),X3))
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f970,f1836]) ).
fof(f2973,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(difference(X2,difference(sK3_skl,sK4_skl)),X3))
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f970,f1787]) ).
fof(f2974,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(X2,difference(sK3_skl,sK4_skl)))
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f970,f552]) ).
fof(f2975,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(difference(sK3_skl,sK4_skl),difference(X1,X2))
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X0,difference(union(sK3_skl,sK4_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f970,f530]) ).
fof(f2988,plain,
( ~ sQ5_spl
| sQ25_spl
| sQ104_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2970,f2918,f2418,f199,f85]) ).
fof(f2989,plain,
( ~ sQ5_spl
| sQ25_spl
| sQ105_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2971,f2918,f2422,f199,f85]) ).
fof(f2990,plain,
( ~ sQ5_spl
| sQ25_spl
| sQ106_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2972,f2918,f2426,f199,f85]) ).
fof(f2991,plain,
( ~ sQ5_spl
| sQ25_spl
| sQ107_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2973,f2918,f2430,f199,f85]) ).
fof(f2992,plain,
( ~ sQ5_spl
| sQ25_spl
| sQ108_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2974,f2918,f2434,f199,f85]) ).
fof(f2993,plain,
( ~ sQ5_spl
| sQ25_spl
| sQ109_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2975,f2918,f2438,f199,f85]) ).
fof(f3001,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,difference(sK3_skl,sK4_skl)),X1),difference(X2,difference(sK3_skl,sK4_skl)))
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f972,f1991]) ).
fof(f3002,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,X1),difference(sK3_skl,sK4_skl)),difference(X2,X1))
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f972,f1946]) ).
fof(f3003,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(difference(sK3_skl,sK4_skl),difference(difference(X2,X1),X3))
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f972,f1836]) ).
fof(f3004,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(difference(X2,difference(sK3_skl,sK4_skl)),X3))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f972,f1787]) ).
fof(f3005,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(X2,difference(sK3_skl,sK4_skl)))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f972,f552]) ).
fof(f3006,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(difference(sK3_skl,sK4_skl),difference(X1,X2))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,difference(union(sK4_skl,sK3_skl),sK4_skl))) ),
inference(resolution,[status(thm)],[f972,f530]) ).
fof(f3019,plain,
( ~ sQ5_spl
| sQ25_spl
| sQ104_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f3001,f2952,f2418,f199,f85]) ).
fof(f3020,plain,
( ~ sQ5_spl
| sQ25_spl
| sQ105_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f3002,f2952,f2422,f199,f85]) ).
fof(f3021,plain,
( ~ sQ5_spl
| sQ25_spl
| sQ106_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f3003,f2952,f2426,f199,f85]) ).
fof(f3022,plain,
( ~ sQ5_spl
| sQ25_spl
| sQ107_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f3004,f2952,f2430,f199,f85]) ).
fof(f3023,plain,
( ~ sQ5_spl
| sQ25_spl
| sQ108_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f3005,f2952,f2434,f199,f85]) ).
fof(f3024,plain,
( ~ sQ5_spl
| sQ25_spl
| sQ109_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f3006,f2952,f2438,f199,f85]) ).
fof(f3033,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,difference(sK3_skl,sK4_skl)),X1),difference(X2,difference(sK3_skl,sK4_skl)))
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1014,f1976]) ).
fof(f3034,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,X1),difference(sK3_skl,sK4_skl)),difference(X2,X1))
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1014,f1916]) ).
fof(f3035,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ subset(difference(sK3_skl,sK4_skl),difference(difference(X2,X1),X3))
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1014,f1821]) ).
fof(f3036,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(difference(X2,difference(sK3_skl,sK4_skl)),X3))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1014,f1757]) ).
fof(f3037,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(X2,difference(sK3_skl,sK4_skl)))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1014,f548]) ).
fof(f3038,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(difference(sK3_skl,sK4_skl),difference(X1,X2))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1014,f522]) ).
fof(f3040,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ member(sK1_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,X1)) ),
inference(resolution,[status(thm)],[f1014,f25]) ).
fof(f3050,definition,
! [X0] :
( sQ125_spl
<=> ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f3054,plain,
( ~ sQ9_spl
| sQ20_spl
| sQ98_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f3033,f3050,f2262,f166,f101]) ).
fof(f3055,plain,
( ~ sQ9_spl
| sQ20_spl
| sQ94_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f3034,f3050,f2208,f166,f101]) ).
fof(f3056,plain,
( ~ sQ9_spl
| sQ20_spl
| sQ90_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f3035,f3050,f2124,f166,f101]) ).
fof(f3057,plain,
( ~ sQ9_spl
| sQ20_spl
| sQ86_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f3036,f3050,f2070,f166,f101]) ).
fof(f3058,plain,
( ~ sQ9_spl
| sQ20_spl
| sQ58_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f3037,f3050,f1028,f166,f101]) ).
fof(f3059,plain,
( ~ sQ9_spl
| sQ20_spl
| sQ59_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f3038,f3050,f1032,f166,f101]) ).
fof(f3064,plain,
( ~ sQ9_spl
| sQ40_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f3040,f2024,f378,f101]) ).
fof(f3065,plain,
( sQ23_spl
| ~ sQ40_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f340,f379]) ).
fof(f3124,plain,
( sQ23_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3065]) ).
fof(f3303,plain,
! [X0,X1,X2,X3] :
( member(sK1_skl(X3,X1),X3)
| X1 = X3
| ~ subset(union(X0,X1),difference(X2,X1)) ),
inference(resolution,[status(thm)],[f536,f38]) ).
fof(f3304,plain,
! [X0,X1,X2,X3,X4] :
( member(sK1_skl(X4,X3),X4)
| X3 = X4
| ~ member(sK1_skl(X4,X3),X1)
| ~ subset(union(X0,X1),difference(X2,X3)) ),
inference(resolution,[status(thm)],[f536,f38]) ).
fof(f3343,plain,
! [X0,X1,X2,X3] :
( X1 = X3
| member(sK0_skl(X3,X1),X3)
| ~ subset(union(X0,X1),difference(X2,X1)) ),
inference(resolution,[status(thm)],[f536,f14]) ).
fof(f3344,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| member(sK0_skl(X4,X3),X4)
| ~ member(sK0_skl(X4,X3),X1)
| ~ subset(union(X0,X1),difference(X2,X3)) ),
inference(resolution,[status(thm)],[f536,f14]) ).
fof(f3383,plain,
! [X0,X1,X2,X3,X4] :
( member(sK1_skl(X4,X1),X4)
| X1 = X4
| ~ member(sK1_skl(X4,X1),X3)
| ~ subset(union(X0,X1),difference(X2,X3)) ),
inference(resolution,[status(thm)],[f536,f38]) ).
fof(f3403,plain,
! [X0,X1,X2,X3,X4] :
( X1 = X4
| member(sK0_skl(X4,X1),X4)
| ~ member(sK0_skl(X4,X1),X3)
| ~ subset(union(X0,X1),difference(X2,X3)) ),
inference(resolution,[status(thm)],[f536,f14]) ).
fof(f3454,plain,
! [X0,X1,X2,X3] :
( member(sK1_skl(X3,X0),X3)
| X0 = X3
| ~ subset(union(X0,X1),difference(X2,X0)) ),
inference(resolution,[status(thm)],[f538,f38]) ).
fof(f3455,plain,
! [X0,X1,X2,X3,X4] :
( member(sK1_skl(X4,X3),X4)
| X3 = X4
| ~ member(sK1_skl(X4,X3),X0)
| ~ subset(union(X0,X1),difference(X2,X3)) ),
inference(resolution,[status(thm)],[f538,f38]) ).
fof(f3494,plain,
! [X0,X1,X2,X3] :
( X0 = X3
| member(sK0_skl(X3,X0),X3)
| ~ subset(union(X0,X1),difference(X2,X0)) ),
inference(resolution,[status(thm)],[f538,f14]) ).
fof(f3495,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| member(sK0_skl(X4,X3),X4)
| ~ member(sK0_skl(X4,X3),X0)
| ~ subset(union(X0,X1),difference(X2,X3)) ),
inference(resolution,[status(thm)],[f538,f14]) ).
fof(f3534,plain,
! [X0,X1,X2,X3,X4] :
( member(sK1_skl(X4,X0),X4)
| X0 = X4
| ~ member(sK1_skl(X4,X0),X3)
| ~ subset(union(X0,X1),difference(X2,X3)) ),
inference(resolution,[status(thm)],[f538,f38]) ).
fof(f3554,plain,
! [X0,X1,X2,X3,X4] :
( X0 = X4
| member(sK0_skl(X4,X0),X4)
| ~ member(sK0_skl(X4,X0),X3)
| ~ subset(union(X0,X1),difference(X2,X3)) ),
inference(resolution,[status(thm)],[f538,f14]) ).
fof(f3570,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X2,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3303,f940]) ).
fof(f3571,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X2,difference(union(sK3_skl,sK4_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3303,f938]) ).
fof(f3572,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X2,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3303,f716]) ).
fof(f3603,definition,
! [X0,X1] :
( sQ128_spl
<=> ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,difference(sK3_skl,sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f3606,plain,
( ~ sQ9_spl
| sQ124_spl
| sQ25_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f3570,f3603,f199,f2952,f101]) ).
fof(f3607,plain,
( ~ sQ9_spl
| sQ123_spl
| sQ25_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f3571,f3603,f199,f2918,f101]) ).
fof(f3608,plain,
( ~ sQ17_spl
| sQ103_spl
| sQ25_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f3572,f3603,f199,f2414,f143]) ).
fof(f3615,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X2,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3343,f972]) ).
fof(f3616,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X2,difference(union(sK3_skl,sK4_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3343,f970]) ).
fof(f3617,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X2,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3343,f616]) ).
fof(f3647,plain,
( ~ sQ5_spl
| sQ124_spl
| sQ25_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f3615,f3603,f199,f2952,f85]) ).
fof(f3648,plain,
( ~ sQ5_spl
| sQ123_spl
| sQ25_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f3616,f3603,f199,f2918,f85]) ).
fof(f3649,plain,
( ~ sQ19_spl
| sQ103_spl
| sQ25_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f3617,f3603,f199,f2414,f150]) ).
fof(f3654,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X2,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3454,f940]) ).
fof(f3655,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X2,difference(union(sK3_skl,sK4_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3454,f938]) ).
fof(f3656,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X2,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3454,f716]) ).
fof(f3687,definition,
! [X0,X1] :
( sQ130_spl
<=> ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,difference(sK3_skl,sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f3690,plain,
( ~ sQ9_spl
| sQ124_spl
| sQ25_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f3654,f3687,f199,f2952,f101]) ).
fof(f3691,plain,
( ~ sQ9_spl
| sQ123_spl
| sQ25_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f3655,f3687,f199,f2918,f101]) ).
fof(f3692,plain,
( ~ sQ17_spl
| sQ103_spl
| sQ25_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f3656,f3687,f199,f2414,f143]) ).
fof(f3699,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X2,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3494,f972]) ).
fof(f3700,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X2,difference(union(sK3_skl,sK4_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3494,f970]) ).
fof(f3701,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X2,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3494,f616]) ).
fof(f3731,plain,
( ~ sQ5_spl
| sQ124_spl
| sQ25_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f3699,f3687,f199,f2952,f85]) ).
fof(f3732,plain,
( ~ sQ5_spl
| sQ123_spl
| sQ25_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f3700,f3687,f199,f2918,f85]) ).
fof(f3733,plain,
( ~ sQ19_spl
| sQ103_spl
| sQ25_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f3701,f3687,f199,f2414,f150]) ).
fof(f3738,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3304,f940]) ).
fof(f3739,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK3_skl,sK4_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3304,f938]) ).
fof(f3740,plain,
! [X0,X1,X2,X3] :
( ~ sQ17_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3304,f716]) ).
fof(f3771,definition,
! [X0,X1,X2] :
( sQ132_spl
<=> ( ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f3774,plain,
( ~ sQ9_spl
| sQ124_spl
| sQ25_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3738,f3771,f199,f2952,f101]) ).
fof(f3775,plain,
( ~ sQ9_spl
| sQ123_spl
| sQ25_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3739,f3771,f199,f2918,f101]) ).
fof(f3776,plain,
( ~ sQ17_spl
| sQ103_spl
| sQ25_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3740,f3771,f199,f2414,f143]) ).
fof(f3783,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3344,f972]) ).
fof(f3784,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK3_skl,sK4_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3344,f970]) ).
fof(f3785,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3344,f616]) ).
fof(f3816,definition,
! [X0,X1,X2] :
( sQ134_spl
<=> ( ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f3821,definition,
! [X0,X1,X2] :
( sQ135_spl
<=> ( ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f3824,plain,
( ~ sQ5_spl
| sQ124_spl
| sQ25_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f3783,f3821,f199,f2952,f85]) ).
fof(f3825,plain,
( ~ sQ5_spl
| sQ123_spl
| sQ25_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f3784,f3821,f199,f2918,f85]) ).
fof(f3826,plain,
( ~ sQ19_spl
| sQ103_spl
| sQ25_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f3785,f3821,f199,f2414,f150]) ).
fof(f3831,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,X2)) ),
inference(resolution,[status(thm)],[f3383,f940]) ).
fof(f3832,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK3_skl,sK4_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,X2)) ),
inference(resolution,[status(thm)],[f3383,f938]) ).
fof(f3833,plain,
! [X0,X1,X2,X3] :
( ~ sQ17_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,X2)) ),
inference(resolution,[status(thm)],[f3383,f716]) ).
fof(f3864,definition,
! [X0,X1,X2] :
( sQ137_spl
<=> ( ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f3867,plain,
( ~ sQ9_spl
| sQ124_spl
| sQ25_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f3831,f3864,f199,f2952,f101]) ).
fof(f3868,plain,
( ~ sQ9_spl
| sQ123_spl
| sQ25_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f3832,f3864,f199,f2918,f101]) ).
fof(f3869,plain,
( ~ sQ17_spl
| sQ103_spl
| sQ25_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f3833,f3864,f199,f2414,f143]) ).
fof(f3876,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,X2)) ),
inference(resolution,[status(thm)],[f3403,f972]) ).
fof(f3877,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK3_skl,sK4_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,X2)) ),
inference(resolution,[status(thm)],[f3403,f970]) ).
fof(f3878,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,X2)) ),
inference(resolution,[status(thm)],[f3403,f616]) ).
fof(f3909,definition,
! [X0,X1,X2] :
( sQ139_spl
<=> ( ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f3914,definition,
! [X0,X1,X2] :
( sQ140_spl
<=> ( ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(X0,difference(sK3_skl,sK4_skl)),difference(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f3917,plain,
( ~ sQ5_spl
| sQ124_spl
| sQ25_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f3876,f3914,f199,f2952,f85]) ).
fof(f3918,plain,
( ~ sQ5_spl
| sQ123_spl
| sQ25_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f3877,f3914,f199,f2918,f85]) ).
fof(f3919,plain,
( ~ sQ19_spl
| sQ103_spl
| sQ25_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f3878,f3914,f199,f2414,f150]) ).
fof(f3924,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3455,f940]) ).
fof(f3925,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK3_skl,sK4_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3455,f938]) ).
fof(f3926,plain,
! [X0,X1,X2,X3] :
( ~ sQ17_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3455,f716]) ).
fof(f3957,definition,
! [X0,X1,X2] :
( sQ142_spl
<=> ( ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f3960,plain,
( ~ sQ9_spl
| sQ124_spl
| sQ25_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f3924,f3957,f199,f2952,f101]) ).
fof(f3961,plain,
( ~ sQ9_spl
| sQ123_spl
| sQ25_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f3925,f3957,f199,f2918,f101]) ).
fof(f3962,plain,
( ~ sQ17_spl
| sQ103_spl
| sQ25_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f3926,f3957,f199,f2414,f143]) ).
fof(f3969,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3495,f972]) ).
fof(f3970,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK3_skl,sK4_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3495,f970]) ).
fof(f3971,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f3495,f616]) ).
fof(f4002,definition,
! [X0,X1,X2] :
( sQ144_spl
<=> ( ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f4007,definition,
! [X0,X1,X2] :
( sQ145_spl
<=> ( ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X0)
| ~ subset(union(X0,X1),difference(X2,difference(sK3_skl,sK4_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f4010,plain,
( ~ sQ5_spl
| sQ124_spl
| sQ25_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f3969,f4007,f199,f2952,f85]) ).
fof(f4011,plain,
( ~ sQ5_spl
| sQ123_spl
| sQ25_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f3970,f4007,f199,f2918,f85]) ).
fof(f4012,plain,
( ~ sQ19_spl
| sQ103_spl
| sQ25_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f3971,f4007,f199,f2414,f150]) ).
fof(f4017,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,X2)) ),
inference(resolution,[status(thm)],[f3534,f940]) ).
fof(f4018,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK3_skl,sK4_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,X2)) ),
inference(resolution,[status(thm)],[f3534,f938]) ).
fof(f4019,plain,
! [X0,X1,X2,X3] :
( ~ sQ17_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,X2)) ),
inference(resolution,[status(thm)],[f3534,f716]) ).
fof(f4050,definition,
! [X0,X1,X2] :
( sQ147_spl
<=> ( ~ member(sK1_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f4053,plain,
( ~ sQ9_spl
| sQ124_spl
| sQ25_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f4017,f4050,f199,f2952,f101]) ).
fof(f4054,plain,
( ~ sQ9_spl
| sQ123_spl
| sQ25_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f4018,f4050,f199,f2918,f101]) ).
fof(f4055,plain,
( ~ sQ17_spl
| sQ103_spl
| sQ25_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f4019,f4050,f199,f2414,f143]) ).
fof(f4062,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,X2)) ),
inference(resolution,[status(thm)],[f3554,f972]) ).
fof(f4063,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK3_skl,sK4_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,X2)) ),
inference(resolution,[status(thm)],[f3554,f970]) ).
fof(f4064,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ subset(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(X3,difference(union(sK4_skl,sK3_skl),sK4_skl)))
| difference(sK3_skl,sK4_skl) = difference(union(sK4_skl,sK3_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,X2)) ),
inference(resolution,[status(thm)],[f3554,f616]) ).
fof(f4095,definition,
! [X0,X1,X2] :
( sQ149_spl
<=> ( ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f4100,definition,
! [X0,X1,X2] :
( sQ150_spl
<=> ( ~ member(sK0_skl(difference(union(sK4_skl,sK3_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(difference(sK3_skl,sK4_skl),X0),difference(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f4103,plain,
( ~ sQ5_spl
| sQ124_spl
| sQ25_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f4062,f4100,f199,f2952,f85]) ).
fof(f4104,plain,
( ~ sQ5_spl
| sQ123_spl
| sQ25_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f4063,f4100,f199,f2918,f85]) ).
fof(f4105,plain,
( ~ sQ19_spl
| sQ103_spl
| sQ25_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f4064,f4100,f199,f2414,f150]) ).
fof(f4326,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X3)
| ~ subset(union(difference(sK3_skl,sK4_skl),X1),difference(X2,X3))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1079,f3554]) ).
fof(f4327,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(union(X1,X2),difference(X3,difference(sK3_skl,sK4_skl)))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1079,f3495]) ).
fof(f4328,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X3)
| ~ subset(union(X1,difference(sK3_skl,sK4_skl)),difference(X2,X3))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1079,f3403]) ).
fof(f4329,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(union(X1,X2),difference(X3,difference(sK3_skl,sK4_skl)))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1079,f3344]) ).
fof(f4330,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ subset(union(difference(sK3_skl,sK4_skl),X1),difference(X2,difference(sK3_skl,sK4_skl)))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1079,f3494]) ).
fof(f4331,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ subset(union(X1,difference(sK3_skl,sK4_skl)),difference(X2,difference(sK3_skl,sK4_skl)))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1079,f3343]) ).
fof(f4332,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,difference(sK3_skl,sK4_skl)),X1),difference(X2,difference(sK3_skl,sK4_skl)))
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1079,f1991]) ).
fof(f4333,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ member(sK2_skl(difference(X2,X1),difference(sK3_skl,sK4_skl)),difference(X2,X1))
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1079,f1946]) ).
fof(f4334,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ subset(difference(sK3_skl,sK4_skl),difference(difference(X2,X1),X3))
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1079,f1836]) ).
fof(f4335,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(difference(X2,difference(sK3_skl,sK4_skl)),X3))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1079,f1787]) ).
fof(f4336,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(X1,difference(X2,difference(sK3_skl,sK4_skl)))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1079,f552]) ).
fof(f4337,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| difference(sK3_skl,sK4_skl) = difference(union(sK3_skl,sK4_skl),sK4_skl)
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ subset(difference(sK3_skl,sK4_skl),difference(X1,X2))
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f1079,f530]) ).
fof(f4339,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X2)
| ~ member(sK0_skl(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(sK3_skl,sK4_skl)),X1)
| ~ subset(difference(union(sK3_skl,sK4_skl),sK4_skl),difference(X0,X1)) ),
inference(resolution,[status(thm)],[f1079,f25]) ).
fof(f4351,plain,
( ~ sQ5_spl
| sQ20_spl
| sQ149_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f4326,f3050,f4095,f166,f85]) ).
fof(f4352,plain,
( ~ sQ5_spl
| sQ20_spl
| sQ144_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f4327,f3050,f4002,f166,f85]) ).
fof(f4353,plain,
( ~ sQ5_spl
| sQ20_spl
| sQ139_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f4328,f3050,f3909,f166,f85]) ).
fof(f4354,plain,
( ~ sQ5_spl
| sQ20_spl
| sQ134_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f4329,f3050,f3816,f166,f85]) ).
fof(f4355,plain,
( ~ sQ5_spl
| sQ20_spl
| sQ130_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f4330,f3050,f3687,f166,f85]) ).
fof(f4356,plain,
( ~ sQ5_spl
| sQ20_spl
| sQ128_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f4331,f3050,f3603,f166,f85]) ).
fof(f4357,plain,
( ~ sQ5_spl
| sQ20_spl
| sQ100_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f4332,f3050,f2289,f166,f85]) ).
fof(f4358,plain,
( ~ sQ5_spl
| sQ20_spl
| sQ96_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f4333,f3050,f2235,f166,f85]) ).
fof(f4359,plain,
( ~ sQ5_spl
| sQ20_spl
| sQ92_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f4334,f3050,f2151,f166,f85]) ).
fof(f4360,plain,
( ~ sQ5_spl
| sQ20_spl
| sQ88_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f4335,f3050,f2097,f166,f85]) ).
fof(f4361,plain,
( ~ sQ5_spl
| sQ20_spl
| sQ63_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f4336,f3050,f1090,f166,f85]) ).
fof(f4362,plain,
( ~ sQ5_spl
| sQ20_spl
| sQ64_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f4337,f3050,f1094,f166,f85]) ).
fof(f4364,plain,
( ~ sQ5_spl
| sQ38_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f4339,f2044,f354,f85]) ).
fof(f4365,plain,
( ~ sQ5_spl
| ~ sQ38_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f492,f355]) ).
fof(f4444,plain,
( ~ sQ5_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f4365]) ).
fof(f4753,plain,
( sQ33_spl
| sQ52_spl
| ~ member(sK0_skl(difference(sK3_skl,sK4_skl),difference(union(sK3_skl,sK4_skl),sK4_skl)),union(sK3_skl,sK4_skl)) ),
inference(resolution,[status(thm)],[f1271,f256]) ).
fof(f4782,plain,
( sQ33_spl
| sQ52_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f4753,f251,f791,f254]) ).
fof(f4783,plain,
$false,
inference(sat_refutation,[status(thm)],[f81,f88,f104,f146,f153,f169,f176,f178,f186,f193,f202,f209,f211,f217,f224,f250,f257,f291,f292,f310,f311,f353,f365,f377,f497,f599,f600,f601,f602,f607,f608,f609,f610,f766,f768,f790,f794,f1046,f1087,f1102,f1277,f1278,f1509,f1613,f1882,f1883,f2421,f2425,f2429,f2433,f2437,f2441,f2504,f2508,f2512,f2516,f2520,f2524,f2922,f2923,f2924,f2925,f2926,f2927,f2956,f2957,f2958,f2959,f2960,f2961,f2988,f2989,f2990,f2991,f2992,f2993,f3019,f3020,f3021,f3022,f3023,f3024,f3054,f3055,f3056,f3057,f3058,f3059,f3064,f3124,f3606,f3607,f3608,f3647,f3648,f3649,f3690,f3691,f3692,f3731,f3732,f3733,f3774,f3775,f3776,f3824,f3825,f3826,f3867,f3868,f3869,f3917,f3918,f3919,f3960,f3961,f3962,f4010,f4011,f4012,f4053,f4054,f4055,f4103,f4104,f4105,f4351,f4352,f4353,f4354,f4355,f4356,f4357,f4358,f4359,f4360,f4361,f4362,f4364,f4444,f4782]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET610+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:34:29 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 23.02/3.34 % Refutation found
% 23.02/3.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 23.02/3.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 23.02/3.40 % Elapsed time: 3.024938 seconds
% 23.02/3.40 % CPU time: 23.665240 seconds
% 23.02/3.40 % Total memory used: 284.025 MB
% 23.02/3.40 % Net memory used: 262.499 MB
%------------------------------------------------------------------------------