%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO169+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:24:14 PM UTC 2026
% Result : Theorem 29.81s 9.40s
% Output : CNFRefutation 19.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 548
% Syntax : Number of formulae : 2297 ( 112 unt; 500 def)
% Number of atoms : 7593 (1452 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 9611 (4315 ~;4762 |; 17 &)
% ( 500 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 506 ( 504 usr; 502 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 1108 (1104 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] :
( ( incident(p2,A)
& incident(p1,A)
& incident(p3,A) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( incident(a3,b1b2)
& incident(a2,b3b1)
& incident(a1,b2b3) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( incident(b3,a1a2)
& incident(b2,a3a1)
& incident(b1,a2a3) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( incident(b3,a1a2)
| incident(a1,b2b3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( incident(b1,a2a3)
| incident(a2,b3b1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( incident(b2,a3a1)
| incident(a3,b1b2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
incident(a1,a1a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
incident(a2,a1a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
incident(a2,a2a3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
incident(a3,a2a3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
incident(a3,a3a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
incident(a1,a3a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
incident(b1,b1b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
incident(b2,b1b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
incident(b2,b2b3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
incident(b3,b2b3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
incident(b3,b3b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
incident(b1,b3b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
incident(s,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
incident(s,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
incident(s,s3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
incident(a1,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
incident(a2,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
incident(a3,s3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
incident(b1,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
incident(b2,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
incident(b3,s3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
incident(p3,a1a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
incident(p3,b1b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
incident(p1,a2a3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
incident(p1,b2b3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
incident(p2,a3a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
incident(p2,b3b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [A,B] :
( incident(A,B)
=> point(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [A,B] :
( incident(A,B)
=> line(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
( a1 = a2
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
( a2 = a3
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
( a3 = a1
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
( b1 = b2
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
( b2 = b3
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
( b3 = b1
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
( a1a2 = b1b2
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
( a2a3 = b2b3
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
( a3a1 = b3b1
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [A,B,C,D] :
( ( incident(B,D)
& incident(B,C)
& incident(A,D)
& incident(A,C) )
=> ( C = D
| A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [A,B] :
( ( point(B)
& point(A) )
=> ? [C] :
( incident(B,C)
& incident(A,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,axiom,
! [A,B] :
( ( line(B)
& line(A) )
=> ? [C] :
( incident(C,B)
& incident(C,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ goal,
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f55,plain,
! [A] :
( goal
| ~ incident(p2,A)
| ~ incident(p1,A)
| ~ incident(p3,A) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f56,plain,
( goal
| ! [A] :
( ~ incident(p2,A)
| ~ incident(p1,A)
| ~ incident(p3,A) ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f57,plain,
! [X0] :
( goal
| ~ incident(p2,X0)
| ~ incident(p1,X0)
| ~ incident(p3,X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
( goal
| ~ incident(a3,b1b2)
| ~ incident(a2,b3b1)
| ~ incident(a1,b2b3) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( goal
| ~ incident(a3,b1b2)
| ~ incident(a2,b3b1)
| ~ incident(a1,b2b3) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
( goal
| ~ incident(b3,a1a2)
| ~ incident(b2,a3a1)
| ~ incident(b1,a2a3) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f61,plain,
( goal
| ~ incident(b3,a1a2)
| ~ incident(b2,a3a1)
| ~ incident(b1,a2a3) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
( incident(b3,a1a2)
| incident(a1,b2b3) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f63,plain,
( incident(b1,a2a3)
| incident(a2,b3b1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f64,plain,
( incident(b2,a3a1)
| incident(a3,b1b2) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f65,plain,
incident(a1,a1a2),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f66,plain,
incident(a2,a1a2),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f67,plain,
incident(a2,a2a3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f68,plain,
incident(a3,a2a3),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f69,plain,
incident(a3,a3a1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f70,plain,
incident(a1,a3a1),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f71,plain,
incident(b1,b1b2),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f72,plain,
incident(b2,b1b2),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f73,plain,
incident(b2,b2b3),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f74,plain,
incident(b3,b2b3),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f75,plain,
incident(b3,b3b1),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f76,plain,
incident(b1,b3b1),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f77,plain,
incident(s,s1),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f78,plain,
incident(s,s2),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f79,plain,
incident(s,s3),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f80,plain,
incident(a1,s1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f81,plain,
incident(a2,s2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f82,plain,
incident(a3,s3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f83,plain,
incident(b1,s1),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f84,plain,
incident(b2,s2),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f85,plain,
incident(b3,s3),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f86,plain,
incident(p3,a1a2),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f87,plain,
incident(p3,b1b2),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f88,plain,
incident(p1,a2a3),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f89,plain,
incident(p1,b2b3),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f90,plain,
incident(p2,a3a1),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f91,plain,
incident(p2,b3b1),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f92,plain,
! [A,B] :
( point(A)
| ~ incident(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f34]) ).
fof(f93,plain,
! [A] :
( point(A)
| ! [B] : ~ incident(A,B) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f94,plain,
! [X0,X1] :
( point(X0)
| ~ incident(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [A,B] :
( line(B)
| ~ incident(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f96,plain,
! [B] :
( line(B)
| ! [A] : ~ incident(A,B) ),
inference(miniscoping,[status(thm)],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( line(X1)
| ~ incident(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f98,plain,
( goal
| a1 != a2 ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f99,plain,
( goal
| a1 != a2 ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f100,plain,
( goal
| a2 != a3 ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f101,plain,
( goal
| a2 != a3 ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f102,plain,
( goal
| a3 != a1 ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f103,plain,
( goal
| a3 != a1 ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f104,plain,
( goal
| b1 != b2 ),
inference(pre_NNF_transformation,[status(thm)],[f39]) ).
fof(f105,plain,
( goal
| b1 != b2 ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
( goal
| b2 != b3 ),
inference(pre_NNF_transformation,[status(thm)],[f40]) ).
fof(f107,plain,
( goal
| b2 != b3 ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f108,plain,
( goal
| b3 != b1 ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f109,plain,
( goal
| b3 != b1 ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f110,plain,
( goal
| a1a2 != b1b2 ),
inference(pre_NNF_transformation,[status(thm)],[f42]) ).
fof(f111,plain,
( goal
| a1a2 != b1b2 ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f112,plain,
( goal
| a2a3 != b2b3 ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f113,plain,
( goal
| a2a3 != b2b3 ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f114,plain,
( goal
| a3a1 != b3b1 ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f115,plain,
( goal
| a3a1 != b3b1 ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f128,plain,
! [A,B,C,D] :
( C = D
| A = B
| ~ incident(B,D)
| ~ incident(B,C)
| ~ incident(A,D)
| ~ incident(A,C) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( X1 = X2
| X0 = X3
| ~ incident(X3,X2)
| ~ incident(X3,X1)
| ~ incident(X0,X2)
| ~ incident(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f130,plain,
! [A,B] :
( ? [C] :
( incident(B,C)
& incident(A,C) )
| ~ point(B)
| ~ point(A) ),
inference(pre_NNF_transformation,[status(thm)],[f51]) ).
fof(f131,plain,
! [A,B] :
( ( incident(B,sK0_skl(B,A))
& incident(A,sK0_skl(B,A)) )
| ~ point(B)
| ~ point(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f130]) ).
fof(f132,plain,
! [X0,X1] :
( incident(X0,sK0_skl(X1,X0))
| ~ point(X1)
| ~ point(X0) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
! [X0,X1] :
( incident(X1,sK0_skl(X1,X0))
| ~ point(X1)
| ~ point(X0) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f134,plain,
! [A,B] :
( ? [C] :
( incident(C,B)
& incident(C,A) )
| ~ line(B)
| ~ line(A) ),
inference(pre_NNF_transformation,[status(thm)],[f52]) ).
fof(f135,plain,
! [A,B] :
( ( incident(sK1_skl(B,A),B)
& incident(sK1_skl(B,A),A) )
| ~ line(B)
| ~ line(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f134]) ).
fof(f136,plain,
! [X0,X1] :
( incident(sK1_skl(X1,X0),X0)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f137,plain,
! [X0,X1] :
( incident(sK1_skl(X1,X0),X1)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f138,plain,
~ goal,
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f139,definition,
! [X0] :
( sQ0_spl
<=> ( ~ incident(p2,X0)
| ~ incident(p1,X0)
| ~ incident(p3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f140,plain,
! [X0] :
( ~ sQ0_spl
| ~ incident(p2,X0)
| ~ incident(p1,X0)
| ~ incident(p3,X0) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,definition,
( sQ1_spl
<=> goal ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( ~ sQ1_spl
| goal ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f139,f142]) ).
fof(f146,definition,
( sQ2_spl
<=> incident(a1,b2b3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ2_spl
| incident(a1,b2b3) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f148,plain,
( sQ2_spl
| ~ incident(a1,b2b3) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,definition,
( sQ3_spl
<=> incident(a2,b3b1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ3_spl
| incident(a2,b3b1) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,definition,
( sQ4_spl
<=> incident(a3,b1b2) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ4_spl
| incident(a3,b1b2) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f59,f146,f149,f152,f142]) ).
fof(f156,definition,
( sQ5_spl
<=> incident(b1,a2a3) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ5_spl
| incident(b1,a2a3) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ6_spl
<=> incident(b2,a3a1) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ6_spl
| incident(b2,a3a1) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,definition,
( sQ7_spl
<=> incident(b3,a1a2) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ7_spl
| incident(b3,a1a2) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( sQ1_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f61,f156,f159,f162,f142]) ).
fof(f166,plain,
( sQ7_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f62,f146,f162]) ).
fof(f167,plain,
( sQ5_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f63,f149,f156]) ).
fof(f168,plain,
( sQ6_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f64,f152,f159]) ).
fof(f169,definition,
( sQ8_spl
<=> a1 = a2 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( sQ1_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f99,f169,f142]) ).
fof(f173,definition,
( sQ9_spl
<=> a2 = a3 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f101,f173,f142]) ).
fof(f177,definition,
( sQ10_spl
<=> a3 = a1 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( sQ10_spl
| a3 != a1 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( sQ1_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f103,f177,f142]) ).
fof(f181,definition,
( sQ11_spl
<=> b1 = b2 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( sQ11_spl
| b1 != b2 ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,plain,
( sQ1_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f105,f181,f142]) ).
fof(f185,definition,
( sQ12_spl
<=> b2 = b3 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( sQ1_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f107,f185,f142]) ).
fof(f189,definition,
( sQ13_spl
<=> b3 = b1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f109,f189,f142]) ).
fof(f193,definition,
( sQ14_spl
<=> a1a2 = b1b2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( sQ14_spl
| a1a2 != b1b2 ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,plain,
( sQ1_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f111,f193,f142]) ).
fof(f197,definition,
( sQ15_spl
<=> a2a3 = b2b3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( sQ15_spl
| a2a3 != b2b3 ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,plain,
( sQ1_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f113,f197,f142]) ).
fof(f201,definition,
( sQ16_spl
<=> a3a1 = b3b1 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( sQ1_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f115,f201,f142]) ).
fof(f205,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f138]) ).
fof(f206,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f205]) ).
fof(f207,plain,
point(p2),
inference(resolution,[status(thm)],[f94,f91]) ).
fof(f209,plain,
point(p1),
inference(resolution,[status(thm)],[f94,f89]) ).
fof(f211,plain,
point(p3),
inference(resolution,[status(thm)],[f94,f87]) ).
fof(f213,plain,
point(s),
inference(resolution,[status(thm)],[f94,f79]) ).
fof(f216,plain,
point(b3),
inference(resolution,[status(thm)],[f94,f85]) ).
fof(f219,plain,
point(b2),
inference(resolution,[status(thm)],[f94,f84]) ).
fof(f222,plain,
point(b1),
inference(resolution,[status(thm)],[f94,f83]) ).
fof(f228,plain,
point(a3),
inference(resolution,[status(thm)],[f94,f68]) ).
fof(f230,plain,
point(a2),
inference(resolution,[status(thm)],[f94,f81]) ).
fof(f233,plain,
point(a1),
inference(resolution,[status(thm)],[f94,f80]) ).
fof(f236,plain,
line(b3b1),
inference(resolution,[status(thm)],[f97,f91]) ).
fof(f237,plain,
line(a3a1),
inference(resolution,[status(thm)],[f97,f90]) ).
fof(f238,plain,
line(b2b3),
inference(resolution,[status(thm)],[f97,f89]) ).
fof(f239,plain,
line(a2a3),
inference(resolution,[status(thm)],[f97,f88]) ).
fof(f240,plain,
line(b1b2),
inference(resolution,[status(thm)],[f97,f87]) ).
fof(f241,plain,
line(a1a2),
inference(resolution,[status(thm)],[f97,f86]) ).
fof(f242,plain,
line(s3),
inference(resolution,[status(thm)],[f97,f79]) ).
fof(f243,plain,
line(s2),
inference(resolution,[status(thm)],[f97,f78]) ).
fof(f244,plain,
line(s1),
inference(resolution,[status(thm)],[f97,f77]) ).
fof(f266,plain,
! [X0,X1] :
( X0 = b3b1
| p2 = X1
| ~ incident(X1,b3b1)
| ~ incident(X1,X0)
| ~ incident(p2,X0) ),
inference(resolution,[status(thm)],[f129,f91]) ).
fof(f268,plain,
! [X0,X1] :
( X0 = a3a1
| p2 = X1
| ~ incident(X1,a3a1)
| ~ incident(X1,X0)
| ~ incident(p2,X0) ),
inference(resolution,[status(thm)],[f129,f90]) ).
fof(f270,plain,
! [X0,X1] :
( X0 = b2b3
| p1 = X1
| ~ incident(X1,b2b3)
| ~ incident(X1,X0)
| ~ incident(p1,X0) ),
inference(resolution,[status(thm)],[f129,f89]) ).
fof(f272,plain,
! [X0,X1] :
( X0 = a2a3
| p1 = X1
| ~ incident(X1,a2a3)
| ~ incident(X1,X0)
| ~ incident(p1,X0) ),
inference(resolution,[status(thm)],[f129,f88]) ).
fof(f274,plain,
! [X0,X1] :
( X0 = b1b2
| p3 = X1
| ~ incident(X1,b1b2)
| ~ incident(X1,X0)
| ~ incident(p3,X0) ),
inference(resolution,[status(thm)],[f129,f87]) ).
fof(f276,plain,
! [X0,X1] :
( X0 = a1a2
| p3 = X1
| ~ incident(X1,a1a2)
| ~ incident(X1,X0)
| ~ incident(p3,X0) ),
inference(resolution,[status(thm)],[f129,f86]) ).
fof(f278,plain,
! [X0,X1] :
( X0 = s3
| s = X1
| ~ incident(X1,s3)
| ~ incident(X1,X0)
| ~ incident(s,X0) ),
inference(resolution,[status(thm)],[f129,f79]) ).
fof(f284,plain,
! [X0,X1] :
( X0 = s3
| b3 = X1
| ~ incident(X1,s3)
| ~ incident(X1,X0)
| ~ incident(b3,X0) ),
inference(resolution,[status(thm)],[f129,f85]) ).
fof(f286,plain,
! [X0,X1] :
( X0 = b3b1
| b3 = X1
| ~ incident(X1,b3b1)
| ~ incident(X1,X0)
| ~ incident(b3,X0) ),
inference(resolution,[status(thm)],[f129,f75]) ).
fof(f288,plain,
! [X0,X1] :
( X0 = b2b3
| b3 = X1
| ~ incident(X1,b2b3)
| ~ incident(X1,X0)
| ~ incident(b3,X0) ),
inference(resolution,[status(thm)],[f129,f74]) ).
fof(f290,plain,
! [X0,X1] :
( X0 = s2
| b2 = X1
| ~ incident(X1,s2)
| ~ incident(X1,X0)
| ~ incident(b2,X0) ),
inference(resolution,[status(thm)],[f129,f84]) ).
fof(f292,plain,
! [X0,X1] :
( X0 = b2b3
| b2 = X1
| ~ incident(X1,b2b3)
| ~ incident(X1,X0)
| ~ incident(b2,X0) ),
inference(resolution,[status(thm)],[f129,f73]) ).
fof(f294,plain,
! [X0,X1] :
( X0 = b1b2
| b2 = X1
| ~ incident(X1,b1b2)
| ~ incident(X1,X0)
| ~ incident(b2,X0) ),
inference(resolution,[status(thm)],[f129,f72]) ).
fof(f296,plain,
! [X0,X1] :
( X0 = s1
| b1 = X1
| ~ incident(X1,s1)
| ~ incident(X1,X0)
| ~ incident(b1,X0) ),
inference(resolution,[status(thm)],[f129,f83]) ).
fof(f298,plain,
! [X0,X1] :
( X0 = b3b1
| b1 = X1
| ~ incident(X1,b3b1)
| ~ incident(X1,X0)
| ~ incident(b1,X0) ),
inference(resolution,[status(thm)],[f129,f76]) ).
fof(f300,plain,
! [X0,X1] :
( X0 = b1b2
| b1 = X1
| ~ incident(X1,b1b2)
| ~ incident(X1,X0)
| ~ incident(b1,X0) ),
inference(resolution,[status(thm)],[f129,f71]) ).
fof(f304,plain,
! [X0,X1] :
( X0 = s3
| a3 = X1
| ~ incident(X1,s3)
| ~ incident(X1,X0)
| ~ incident(a3,X0) ),
inference(resolution,[status(thm)],[f129,f82]) ).
fof(f306,plain,
! [X0,X1] :
( X0 = a3a1
| a3 = X1
| ~ incident(X1,a3a1)
| ~ incident(X1,X0)
| ~ incident(a3,X0) ),
inference(resolution,[status(thm)],[f129,f69]) ).
fof(f308,plain,
! [X0,X1] :
( X0 = a2a3
| a3 = X1
| ~ incident(X1,a2a3)
| ~ incident(X1,X0)
| ~ incident(a3,X0) ),
inference(resolution,[status(thm)],[f129,f68]) ).
fof(f312,plain,
! [X0,X1] :
( X0 = s2
| a2 = X1
| ~ incident(X1,s2)
| ~ incident(X1,X0)
| ~ incident(a2,X0) ),
inference(resolution,[status(thm)],[f129,f81]) ).
fof(f314,plain,
! [X0,X1] :
( X0 = a2a3
| a2 = X1
| ~ incident(X1,a2a3)
| ~ incident(X1,X0)
| ~ incident(a2,X0) ),
inference(resolution,[status(thm)],[f129,f67]) ).
fof(f316,plain,
! [X0,X1] :
( X0 = a1a2
| a2 = X1
| ~ incident(X1,a1a2)
| ~ incident(X1,X0)
| ~ incident(a2,X0) ),
inference(resolution,[status(thm)],[f129,f66]) ).
fof(f318,plain,
! [X0,X1] :
( X0 = s1
| a1 = X1
| ~ incident(X1,s1)
| ~ incident(X1,X0)
| ~ incident(a1,X0) ),
inference(resolution,[status(thm)],[f129,f80]) ).
fof(f320,plain,
! [X0,X1] :
( X0 = a3a1
| a1 = X1
| ~ incident(X1,a3a1)
| ~ incident(X1,X0)
| ~ incident(a1,X0) ),
inference(resolution,[status(thm)],[f129,f70]) ).
fof(f322,plain,
! [X0,X1] :
( X0 = a1a2
| a1 = X1
| ~ incident(X1,a1a2)
| ~ incident(X1,X0)
| ~ incident(a1,X0) ),
inference(resolution,[status(thm)],[f129,f65]) ).
fof(f338,plain,
! [X0,X1] :
( s2 = X1
| X0 = s
| ~ incident(s,X1)
| ~ incident(X0,X1)
| ~ incident(X0,s2) ),
inference(resolution,[status(thm)],[f129,f78]) ).
fof(f340,plain,
! [X0,X1] :
( s1 = X1
| X0 = s
| ~ incident(s,X1)
| ~ incident(X0,X1)
| ~ incident(X0,s1) ),
inference(resolution,[status(thm)],[f129,f77]) ).
fof(f346,plain,
! [X0,X1] :
( b2b3 = X1
| X0 = b3
| ~ incident(b3,X1)
| ~ incident(X0,X1)
| ~ incident(X0,b2b3) ),
inference(resolution,[status(thm)],[f129,f74]) ).
fof(f352,plain,
! [X0,X1] :
( b1b2 = X1
| X0 = b2
| ~ incident(b2,X1)
| ~ incident(X0,X1)
| ~ incident(X0,b1b2) ),
inference(resolution,[status(thm)],[f129,f72]) ).
fof(f354,plain,
! [X0,X1] :
( s1 = X1
| X0 = b1
| ~ incident(b1,X1)
| ~ incident(X0,X1)
| ~ incident(X0,s1) ),
inference(resolution,[status(thm)],[f129,f83]) ).
fof(f356,plain,
! [X0,X1] :
( b3b1 = X1
| X0 = b1
| ~ incident(b1,X1)
| ~ incident(X0,X1)
| ~ incident(X0,b3b1) ),
inference(resolution,[status(thm)],[f129,f76]) ).
fof(f358,plain,
! [X0,X1] :
( b1b2 = X1
| X0 = b1
| ~ incident(b1,X1)
| ~ incident(X0,X1)
| ~ incident(X0,b1b2) ),
inference(resolution,[status(thm)],[f129,f71]) ).
fof(f383,plain,
! [X0,X1] :
( X1 = b2b3
| X0 = p1
| ~ incident(p1,X1)
| ~ incident(X0,b2b3)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f89]) ).
fof(f384,plain,
! [X0,X1] :
( X1 = a2a3
| X0 = p1
| ~ incident(p1,X1)
| ~ incident(X0,a2a3)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f88]) ).
fof(f385,plain,
! [X0,X1] :
( X1 = b1b2
| X0 = p3
| ~ incident(p3,X1)
| ~ incident(X0,b1b2)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f87]) ).
fof(f386,plain,
! [X0,X1] :
( X1 = a1a2
| X0 = p3
| ~ incident(p3,X1)
| ~ incident(X0,a1a2)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f86]) ).
fof(f388,plain,
! [X0,X1] :
( X1 = s2
| X0 = s
| ~ incident(s,X1)
| ~ incident(X0,s2)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f78]) ).
fof(f390,plain,
! [X0,X1] :
( X1 = s3
| X0 = b3
| ~ incident(b3,X1)
| ~ incident(X0,s3)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f85]) ).
fof(f391,plain,
! [X0,X1] :
( X1 = b3b1
| X0 = b3
| ~ incident(b3,X1)
| ~ incident(X0,b3b1)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f75]) ).
fof(f392,plain,
! [X0,X1] :
( X1 = b2b3
| X0 = b3
| ~ incident(b3,X1)
| ~ incident(X0,b2b3)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f74]) ).
fof(f393,plain,
! [X0,X1] :
( X1 = s2
| X0 = b2
| ~ incident(b2,X1)
| ~ incident(X0,s2)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f84]) ).
fof(f394,plain,
! [X0,X1] :
( X1 = b2b3
| X0 = b2
| ~ incident(b2,X1)
| ~ incident(X0,b2b3)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f73]) ).
fof(f395,plain,
! [X0,X1] :
( X1 = b1b2
| X0 = b2
| ~ incident(b2,X1)
| ~ incident(X0,b1b2)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f72]) ).
fof(f396,plain,
! [X0,X1] :
( X1 = s1
| X0 = b1
| ~ incident(b1,X1)
| ~ incident(X0,s1)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f83]) ).
fof(f397,plain,
! [X0,X1] :
( X1 = b3b1
| X0 = b1
| ~ incident(b1,X1)
| ~ incident(X0,b3b1)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f76]) ).
fof(f398,plain,
! [X0,X1] :
( X1 = b1b2
| X0 = b1
| ~ incident(b1,X1)
| ~ incident(X0,b1b2)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f71]) ).
fof(f400,plain,
! [X0,X1] :
( X1 = s3
| X0 = a3
| ~ incident(a3,X1)
| ~ incident(X0,s3)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f82]) ).
fof(f401,plain,
! [X0,X1] :
( X1 = a3a1
| X0 = a3
| ~ incident(a3,X1)
| ~ incident(X0,a3a1)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f69]) ).
fof(f402,plain,
! [X0,X1] :
( X1 = a2a3
| X0 = a3
| ~ incident(a3,X1)
| ~ incident(X0,a2a3)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f68]) ).
fof(f404,plain,
! [X0,X1] :
( X1 = s2
| X0 = a2
| ~ incident(a2,X1)
| ~ incident(X0,s2)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f81]) ).
fof(f405,plain,
! [X0,X1] :
( X1 = a2a3
| X0 = a2
| ~ incident(a2,X1)
| ~ incident(X0,a2a3)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f67]) ).
fof(f406,plain,
! [X0,X1] :
( X1 = a1a2
| X0 = a2
| ~ incident(a2,X1)
| ~ incident(X0,a1a2)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f66]) ).
fof(f407,plain,
! [X0,X1] :
( X1 = s1
| X0 = a1
| ~ incident(a1,X1)
| ~ incident(X0,s1)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f80]) ).
fof(f408,plain,
! [X0,X1] :
( X1 = a3a1
| X0 = a1
| ~ incident(a1,X1)
| ~ incident(X0,a3a1)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f70]) ).
fof(f409,plain,
! [X0,X1] :
( X1 = a1a2
| X0 = a1
| ~ incident(a1,X1)
| ~ incident(X0,a1a2)
| ~ incident(X0,X1) ),
inference(resolution,[status(thm)],[f129,f65]) ).
fof(f411,definition,
( sQ17_spl
<=> incident(p2,b3b1) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f414,definition,
( sQ18_spl
<=> p2 = p2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f417,definition,
( sQ19_spl
<=> b3b1 = b3b1 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f421,definition,
( sQ20_spl
<=> incident(p2,a3a1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f424,definition,
( sQ21_spl
<=> a3a1 = a3a1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f428,definition,
( sQ22_spl
<=> incident(p1,b2b3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f431,definition,
( sQ23_spl
<=> p1 = p1 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f434,definition,
( sQ24_spl
<=> b2b3 = b2b3 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f438,definition,
( sQ25_spl
<=> incident(p1,a2a3) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f441,definition,
( sQ26_spl
<=> a2a3 = a2a3 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f445,definition,
( sQ27_spl
<=> incident(p3,b1b2) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f448,definition,
( sQ28_spl
<=> p3 = p3 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f451,definition,
( sQ29_spl
<=> b1b2 = b1b2 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f455,definition,
( sQ30_spl
<=> incident(p3,a1a2) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f458,definition,
( sQ31_spl
<=> a1a2 = a1a2 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f462,definition,
( sQ32_spl
<=> incident(s,s3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( sQ32_spl
| ~ incident(s,s3) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ33_spl
<=> s = s ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f468,definition,
( sQ34_spl
<=> s3 = s3 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f475,definition,
( sQ36_spl
<=> s2 = s2 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f479,definition,
( sQ37_spl
<=> incident(s,s1) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( sQ37_spl
| ~ incident(s,s1) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,definition,
( sQ38_spl
<=> s1 = s1 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f486,definition,
( sQ39_spl
<=> incident(b3,s3) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( sQ39_spl
| ~ incident(b3,s3) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,definition,
( sQ40_spl
<=> b3 = b3 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f493,definition,
( sQ41_spl
<=> incident(b3,b3b1) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f501,definition,
( sQ43_spl
<=> incident(b2,s2) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( sQ43_spl
| ~ incident(b2,s2) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,definition,
( sQ44_spl
<=> b2 = b2 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f508,definition,
( sQ45_spl
<=> incident(b2,b2b3) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( sQ45_spl
| ~ incident(b2,b2b3) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f512,definition,
( sQ46_spl
<=> incident(b2,b1b2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ46_spl
| ~ incident(b2,b1b2) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f516,definition,
( sQ47_spl
<=> incident(b1,s1) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( sQ47_spl
| ~ incident(b1,s1) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ48_spl
<=> b1 = b1 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f523,definition,
( sQ49_spl
<=> incident(b1,b3b1) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( sQ49_spl
| ~ incident(b1,b3b1) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f527,definition,
( sQ50_spl
<=> incident(b1,b1b2) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( sQ50_spl
| ~ incident(b1,b1b2) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f531,definition,
( sQ51_spl
<=> a3 = a3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f535,definition,
( sQ52_spl
<=> incident(a3,s3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( sQ52_spl
| ~ incident(a3,s3) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f539,definition,
( sQ53_spl
<=> incident(a3,a3a1) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( sQ53_spl
| ~ incident(a3,a3a1) ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f543,definition,
( sQ54_spl
<=> incident(a3,a2a3) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( sQ54_spl
| ~ incident(a3,a2a3) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f547,definition,
( sQ55_spl
<=> a2 = a2 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f551,definition,
( sQ56_spl
<=> incident(a2,s2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( sQ56_spl
| ~ incident(a2,s2) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f555,definition,
( sQ57_spl
<=> incident(a2,a2a3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( sQ57_spl
| ~ incident(a2,a2a3) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f559,definition,
( sQ58_spl
<=> incident(a2,a1a2) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( sQ58_spl
| ~ incident(a2,a1a2) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f725,plain,
! [X0,X1,X2,X3] :
( X3 = X0
| X2 = sK1_skl(X1,X0)
| ~ incident(sK1_skl(X1,X0),X3)
| ~ incident(X2,X0)
| ~ incident(X2,X3)
| ~ line(X1)
| ~ line(X0) ),
inference(resolution,[status(thm)],[f136,f129]) ).
fof(f732,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| X1 = sK1_skl(X0,X3)
| ~ incident(sK1_skl(X0,X3),X2)
| ~ incident(X1,X3)
| ~ incident(X1,X2)
| ~ line(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f725,f97]) ).
fof(f743,plain,
! [X0,X1,X2,X3] :
( X3 = X1
| X2 = sK1_skl(X1,X0)
| ~ incident(sK1_skl(X1,X0),X3)
| ~ incident(X2,X1)
| ~ incident(X2,X3)
| ~ line(X1)
| ~ line(X0) ),
inference(resolution,[status(thm)],[f137,f129]) ).
fof(f750,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| X1 = sK1_skl(X3,X0)
| ~ incident(sK1_skl(X3,X0),X2)
| ~ incident(X1,X3)
| ~ incident(X1,X2)
| ~ line(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f743,f97]) ).
fof(f754,plain,
( ~ sQ0_spl
| ~ incident(p2,b1b2)
| ~ incident(p1,b1b2) ),
inference(resolution,[status(thm)],[f140,f87]) ).
fof(f755,plain,
( ~ sQ0_spl
| ~ incident(p2,a1a2)
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[f140,f86]) ).
fof(f756,plain,
! [X0] :
( ~ sQ0_spl
| ~ point(p3)
| ~ point(X0)
| ~ incident(p2,sK0_skl(p3,X0))
| ~ incident(p1,sK0_skl(p3,X0)) ),
inference(resolution,[status(thm)],[f140,f133]) ).
fof(f757,plain,
! [X0] :
( ~ sQ0_spl
| ~ point(X0)
| ~ point(p3)
| ~ incident(p2,sK0_skl(X0,p3))
| ~ incident(p1,sK0_skl(X0,p3)) ),
inference(resolution,[status(thm)],[f140,f132]) ).
fof(f758,definition,
( sQ96_spl
<=> incident(p1,b1b2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f759,plain,
( ~ sQ96_spl
| incident(p1,b1b2) ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f760,plain,
( sQ96_spl
| ~ incident(p1,b1b2) ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,definition,
( sQ97_spl
<=> incident(p2,b1b2) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f764,plain,
( ~ sQ0_spl
| ~ sQ97_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f754,f758,f761,f139]) ).
fof(f765,definition,
( sQ98_spl
<=> incident(p1,a1a2) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f767,plain,
( sQ98_spl
| ~ incident(p1,a1a2) ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,definition,
( sQ99_spl
<=> incident(p2,a1a2) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ0_spl
| ~ sQ99_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f755,f765,f768,f139]) ).
fof(f772,definition,
! [X0] :
( sQ100_spl
<=> ( ~ point(X0)
| ~ incident(p2,sK0_skl(p3,X0))
| ~ incident(p1,sK0_skl(p3,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f773,plain,
! [X0] :
( ~ sQ100_spl
| ~ point(X0)
| ~ incident(p2,sK0_skl(p3,X0))
| ~ incident(p1,sK0_skl(p3,X0)) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,definition,
( sQ101_spl
<=> point(p3) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( sQ101_spl
| ~ point(p3) ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,plain,
( ~ sQ0_spl
| ~ sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f756,f772,f775,f139]) ).
fof(f779,definition,
! [X0] :
( sQ102_spl
<=> ( ~ point(X0)
| ~ incident(p2,sK0_skl(X0,p3))
| ~ incident(p1,sK0_skl(X0,p3)) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f780,plain,
! [X0] :
( ~ sQ102_spl
| ~ point(X0)
| ~ incident(p2,sK0_skl(X0,p3))
| ~ incident(p1,sK0_skl(X0,p3)) ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,plain,
( ~ sQ0_spl
| ~ sQ101_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f757,f779,f775,f139]) ).
fof(f783,plain,
( sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f777,f211]) ).
fof(f784,plain,
sQ101_spl,
inference(contradiction_clause,[status(thm)],[f783]) ).
fof(f808,plain,
! [X0] :
( a3a1 = b3b1
| p2 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,a3a1) ),
inference(resolution,[status(thm)],[f266,f90]) ).
fof(f809,plain,
! [X0,X1] :
( ~ point(p2)
| ~ point(X1)
| sK0_skl(p2,X1) = b3b1
| p2 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,sK0_skl(p2,X1)) ),
inference(resolution,[status(thm)],[f266,f133]) ).
fof(f810,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(p2)
| sK0_skl(X1,p2) = b3b1
| p2 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,sK0_skl(X1,p2)) ),
inference(resolution,[status(thm)],[f266,f132]) ).
fof(f812,definition,
! [X0] :
( sQ103_spl
<=> ( p2 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,a3a1) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f813,plain,
! [X0] :
( ~ sQ103_spl
| p2 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,a3a1) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,plain,
( sQ16_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f808,f812,f201]) ).
fof(f816,definition,
! [X0,X1] :
( sQ104_spl
<=> ( ~ point(X1)
| sK0_skl(p2,X1) = b3b1
| p2 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,sK0_skl(p2,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f819,definition,
( sQ105_spl
<=> point(p2) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( sQ105_spl
| ~ point(p2) ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,plain,
( ~ sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f809,f816,f819]) ).
fof(f823,definition,
! [X0,X1] :
( sQ106_spl
<=> ( ~ point(X1)
| sK0_skl(X1,p2) = b3b1
| p2 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,sK0_skl(X1,p2)) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( ~ sQ105_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f810,f823,f819]) ).
fof(f827,plain,
( sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f821,f207]) ).
fof(f828,plain,
sQ105_spl,
inference(contradiction_clause,[status(thm)],[f827]) ).
fof(f829,plain,
! [X0] :
( ~ sQ103_spl
| ~ line(b3b1)
| ~ line(X0)
| p2 = sK1_skl(b3b1,X0)
| ~ incident(sK1_skl(b3b1,X0),a3a1) ),
inference(resolution,[status(thm)],[f813,f137]) ).
fof(f830,plain,
! [X0] :
( ~ sQ103_spl
| ~ line(X0)
| ~ line(b3b1)
| p2 = sK1_skl(X0,b3b1)
| ~ incident(sK1_skl(X0,b3b1),a3a1) ),
inference(resolution,[status(thm)],[f813,f136]) ).
fof(f831,plain,
( ~ sQ103_spl
| p2 = p2
| ~ incident(p2,a3a1) ),
inference(resolution,[status(thm)],[f813,f91]) ).
fof(f832,plain,
( ~ sQ103_spl
| p2 = b3
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[f813,f75]) ).
fof(f833,plain,
( ~ sQ103_spl
| p2 = b1
| ~ incident(b1,a3a1) ),
inference(resolution,[status(thm)],[f813,f76]) ).
fof(f834,definition,
! [X0] :
( sQ107_spl
<=> ( ~ line(X0)
| p2 = sK1_skl(b3b1,X0)
| ~ incident(sK1_skl(b3b1,X0),a3a1) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f835,plain,
! [X0] :
( ~ sQ107_spl
| ~ line(X0)
| p2 = sK1_skl(b3b1,X0)
| ~ incident(sK1_skl(b3b1,X0),a3a1) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,definition,
( sQ108_spl
<=> line(b3b1) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( sQ108_spl
| ~ line(b3b1) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( ~ sQ103_spl
| ~ sQ108_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f829,f834,f837,f812]) ).
fof(f841,definition,
! [X0] :
( sQ109_spl
<=> ( ~ line(X0)
| p2 = sK1_skl(X0,b3b1)
| ~ incident(sK1_skl(X0,b3b1),a3a1) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f842,plain,
! [X0] :
( ~ sQ109_spl
| ~ line(X0)
| p2 = sK1_skl(X0,b3b1)
| ~ incident(sK1_skl(X0,b3b1),a3a1) ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,plain,
( ~ sQ103_spl
| ~ sQ108_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f830,f841,f837,f812]) ).
fof(f845,plain,
( ~ sQ103_spl
| sQ18_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f831,f421,f414,f812]) ).
fof(f846,definition,
( sQ110_spl
<=> incident(b3,a3a1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( sQ110_spl
| ~ incident(b3,a3a1) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,definition,
( sQ111_spl
<=> p2 = b3 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ111_spl
| p2 = b3 ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,plain,
( ~ sQ103_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f832,f846,f849,f812]) ).
fof(f853,definition,
( sQ112_spl
<=> incident(b1,a3a1) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f855,plain,
( sQ112_spl
| ~ incident(b1,a3a1) ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f856,definition,
( sQ113_spl
<=> p2 = b1 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f857,plain,
( ~ sQ113_spl
| p2 = b1 ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f859,plain,
( ~ sQ103_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f833,f853,f856,f812]) ).
fof(f860,plain,
( sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f839,f236]) ).
fof(f861,plain,
sQ108_spl,
inference(contradiction_clause,[status(thm)],[f860]) ).
fof(f862,plain,
( ~ sQ107_spl
| ~ line(b3b1)
| ~ line(a3a1)
| ~ line(a3a1)
| p2 = sK1_skl(b3b1,a3a1) ),
inference(resolution,[status(thm)],[f835,f136]) ).
fof(f863,definition,
( sQ114_spl
<=> p2 = sK1_skl(b3b1,a3a1) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( ~ sQ114_spl
| p2 = sK1_skl(b3b1,a3a1) ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f866,definition,
( sQ115_spl
<=> line(a3a1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f868,plain,
( sQ115_spl
| ~ line(a3a1) ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,plain,
( ~ sQ107_spl
| ~ sQ108_spl
| ~ sQ115_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f862,f863,f866,f837,f834]) ).
fof(f872,plain,
( ~ sQ114_spl
| incident(p2,b3b1)
| ~ line(b3b1)
| ~ line(a3a1) ),
inference(paramodulation,[status(thm)],[f864,f137]) ).
fof(f873,plain,
( ~ sQ114_spl
| incident(p2,a3a1)
| ~ line(b3b1)
| ~ line(a3a1) ),
inference(paramodulation,[status(thm)],[f864,f136]) ).
fof(f876,plain,
( ~ sQ114_spl
| sQ17_spl
| ~ sQ108_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f872,f866,f837,f411,f863]) ).
fof(f877,plain,
( ~ sQ114_spl
| sQ20_spl
| ~ sQ108_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f873,f866,f837,f421,f863]) ).
fof(f878,plain,
( sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f868,f237]) ).
fof(f879,plain,
sQ115_spl,
inference(contradiction_clause,[status(thm)],[f878]) ).
fof(f888,plain,
( ~ sQ109_spl
| ~ line(a3a1)
| ~ line(b3b1)
| ~ line(a3a1)
| p2 = sK1_skl(a3a1,b3b1) ),
inference(resolution,[status(thm)],[f842,f137]) ).
fof(f889,definition,
( sQ116_spl
<=> p2 = sK1_skl(a3a1,b3b1) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f890,plain,
( ~ sQ116_spl
| p2 = sK1_skl(a3a1,b3b1) ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( ~ sQ109_spl
| ~ sQ108_spl
| ~ sQ115_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f888,f889,f866,f837,f841]) ).
fof(f903,plain,
! [X0,X1] :
( ~ point(p2)
| ~ point(X1)
| sK0_skl(p2,X1) = a3a1
| p2 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,sK0_skl(p2,X1)) ),
inference(resolution,[status(thm)],[f268,f133]) ).
fof(f904,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(p2)
| sK0_skl(X1,p2) = a3a1
| p2 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,sK0_skl(X1,p2)) ),
inference(resolution,[status(thm)],[f268,f132]) ).
fof(f907,definition,
! [X0,X1] :
( sQ117_spl
<=> ( ~ point(X1)
| sK0_skl(p2,X1) = a3a1
| p2 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,sK0_skl(p2,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( ~ sQ105_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f903,f907,f819]) ).
fof(f911,definition,
! [X0,X1] :
( sQ118_spl
<=> ( ~ point(X1)
| sK0_skl(X1,p2) = a3a1
| p2 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,sK0_skl(X1,p2)) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( ~ sQ105_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f904,f911,f819]) ).
fof(f916,plain,
! [X0] :
( a2a3 = b2b3
| p1 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,a2a3) ),
inference(resolution,[status(thm)],[f270,f88]) ).
fof(f917,plain,
! [X0,X1] :
( ~ point(p1)
| ~ point(X1)
| sK0_skl(p1,X1) = b2b3
| p1 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,sK0_skl(p1,X1)) ),
inference(resolution,[status(thm)],[f270,f133]) ).
fof(f918,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(p1)
| sK0_skl(X1,p1) = b2b3
| p1 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,sK0_skl(X1,p1)) ),
inference(resolution,[status(thm)],[f270,f132]) ).
fof(f920,definition,
! [X0] :
( sQ119_spl
<=> ( p1 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,a2a3) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f921,plain,
! [X0] :
( ~ sQ119_spl
| p1 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,a2a3) ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f923,plain,
( sQ15_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f916,f920,f197]) ).
fof(f924,definition,
! [X0,X1] :
( sQ120_spl
<=> ( ~ point(X1)
| sK0_skl(p1,X1) = b2b3
| p1 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,sK0_skl(p1,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f927,definition,
( sQ121_spl
<=> point(p1) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( sQ121_spl
| ~ point(p1) ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,plain,
( ~ sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f917,f924,f927]) ).
fof(f931,definition,
! [X0,X1] :
( sQ122_spl
<=> ( ~ point(X1)
| sK0_skl(X1,p1) = b2b3
| p1 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,sK0_skl(X1,p1)) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f934,plain,
( ~ sQ121_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f918,f931,f927]) ).
fof(f935,plain,
( sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f929,f209]) ).
fof(f936,plain,
sQ121_spl,
inference(contradiction_clause,[status(thm)],[f935]) ).
fof(f937,plain,
! [X0] :
( ~ sQ119_spl
| ~ line(b2b3)
| ~ line(X0)
| p1 = sK1_skl(b2b3,X0)
| ~ incident(sK1_skl(b2b3,X0),a2a3) ),
inference(resolution,[status(thm)],[f921,f137]) ).
fof(f938,plain,
! [X0] :
( ~ sQ119_spl
| ~ line(X0)
| ~ line(b2b3)
| p1 = sK1_skl(X0,b2b3)
| ~ incident(sK1_skl(X0,b2b3),a2a3) ),
inference(resolution,[status(thm)],[f921,f136]) ).
fof(f939,plain,
( ~ sQ119_spl
| p1 = p1
| ~ incident(p1,a2a3) ),
inference(resolution,[status(thm)],[f921,f89]) ).
fof(f940,plain,
( ~ sQ119_spl
| p1 = b3
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[f921,f74]) ).
fof(f941,plain,
( ~ sQ119_spl
| p1 = b2
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[f921,f73]) ).
fof(f942,plain,
( ~ sQ2_spl
| ~ sQ119_spl
| p1 = a1
| ~ incident(a1,a2a3) ),
inference(resolution,[status(thm)],[f921,f147]) ).
fof(f943,definition,
! [X0] :
( sQ123_spl
<=> ( ~ line(X0)
| p1 = sK1_skl(b2b3,X0)
| ~ incident(sK1_skl(b2b3,X0),a2a3) ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f944,plain,
! [X0] :
( ~ sQ123_spl
| ~ line(X0)
| p1 = sK1_skl(b2b3,X0)
| ~ incident(sK1_skl(b2b3,X0),a2a3) ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f946,definition,
( sQ124_spl
<=> line(b2b3) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f948,plain,
( sQ124_spl
| ~ line(b2b3) ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f949,plain,
( ~ sQ119_spl
| ~ sQ124_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f937,f943,f946,f920]) ).
fof(f950,definition,
! [X0] :
( sQ125_spl
<=> ( ~ line(X0)
| p1 = sK1_skl(X0,b2b3)
| ~ incident(sK1_skl(X0,b2b3),a2a3) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f951,plain,
! [X0] :
( ~ sQ125_spl
| ~ line(X0)
| p1 = sK1_skl(X0,b2b3)
| ~ incident(sK1_skl(X0,b2b3),a2a3) ),
inference(component_clause,[status(thm)],[f950]) ).
fof(f953,plain,
( ~ sQ119_spl
| ~ sQ124_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f938,f950,f946,f920]) ).
fof(f954,plain,
( ~ sQ119_spl
| sQ23_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f939,f438,f431,f920]) ).
fof(f955,definition,
( sQ126_spl
<=> incident(b3,a2a3) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f957,plain,
( sQ126_spl
| ~ incident(b3,a2a3) ),
inference(component_clause,[status(thm)],[f955]) ).
fof(f958,definition,
( sQ127_spl
<=> p1 = b3 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( ~ sQ127_spl
| p1 = b3 ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,plain,
( ~ sQ119_spl
| sQ127_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f940,f955,f958,f920]) ).
fof(f962,definition,
( sQ128_spl
<=> incident(b2,a2a3) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f964,plain,
( sQ128_spl
| ~ incident(b2,a2a3) ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,definition,
( sQ129_spl
<=> p1 = b2 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( ~ sQ129_spl
| p1 = b2 ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,plain,
( ~ sQ119_spl
| sQ129_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f941,f962,f965,f920]) ).
fof(f969,definition,
( sQ130_spl
<=> incident(a1,a2a3) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f972,definition,
( sQ131_spl
<=> p1 = a1 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f973,plain,
( ~ sQ131_spl
| p1 = a1 ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f975,plain,
( ~ sQ2_spl
| ~ sQ119_spl
| sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f942,f969,f972,f920,f146]) ).
fof(f976,plain,
( sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f948,f238]) ).
fof(f977,plain,
sQ124_spl,
inference(contradiction_clause,[status(thm)],[f976]) ).
fof(f987,definition,
( sQ132_spl
<=> incident(a2,a3a1) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f989,plain,
( sQ132_spl
| ~ incident(a2,a3a1) ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f990,definition,
( sQ133_spl
<=> p2 = a2 ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( ~ sQ123_spl
| ~ line(b2b3)
| ~ line(a2a3)
| ~ line(a2a3)
| p1 = sK1_skl(b2b3,a2a3) ),
inference(resolution,[status(thm)],[f944,f136]) ).
fof(f1022,definition,
( sQ134_spl
<=> p1 = sK1_skl(b2b3,a2a3) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1023,plain,
( ~ sQ134_spl
| p1 = sK1_skl(b2b3,a2a3) ),
inference(component_clause,[status(thm)],[f1022]) ).
fof(f1025,definition,
( sQ135_spl
<=> line(a2a3) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
( sQ135_spl
| ~ line(a2a3) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,plain,
( ~ sQ123_spl
| ~ sQ124_spl
| ~ sQ135_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1021,f1022,f1025,f946,f943]) ).
fof(f1031,plain,
( ~ sQ134_spl
| incident(p1,b2b3)
| ~ line(b2b3)
| ~ line(a2a3) ),
inference(paramodulation,[status(thm)],[f1023,f137]) ).
fof(f1032,plain,
( ~ sQ134_spl
| incident(p1,a2a3)
| ~ line(b2b3)
| ~ line(a2a3) ),
inference(paramodulation,[status(thm)],[f1023,f136]) ).
fof(f1035,plain,
( ~ sQ134_spl
| sQ22_spl
| ~ sQ124_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f1031,f1025,f946,f428,f1022]) ).
fof(f1036,plain,
( ~ sQ134_spl
| sQ25_spl
| ~ sQ124_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f1032,f1025,f946,f438,f1022]) ).
fof(f1037,plain,
( sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1027,f239]) ).
fof(f1038,plain,
sQ135_spl,
inference(contradiction_clause,[status(thm)],[f1037]) ).
fof(f1047,plain,
( ~ sQ125_spl
| ~ line(a2a3)
| ~ line(b2b3)
| ~ line(a2a3)
| p1 = sK1_skl(a2a3,b2b3) ),
inference(resolution,[status(thm)],[f951,f137]) ).
fof(f1048,definition,
( sQ136_spl
<=> p1 = sK1_skl(a2a3,b2b3) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1049,plain,
( ~ sQ136_spl
| p1 = sK1_skl(a2a3,b2b3) ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1051,plain,
( ~ sQ125_spl
| ~ sQ124_spl
| ~ sQ135_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1047,f1048,f1025,f946,f950]) ).
fof(f1062,plain,
! [X0,X1] :
( ~ point(p1)
| ~ point(X1)
| sK0_skl(p1,X1) = a2a3
| p1 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,sK0_skl(p1,X1)) ),
inference(resolution,[status(thm)],[f272,f133]) ).
fof(f1063,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(p1)
| sK0_skl(X1,p1) = a2a3
| p1 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,sK0_skl(X1,p1)) ),
inference(resolution,[status(thm)],[f272,f132]) ).
fof(f1066,definition,
! [X0,X1] :
( sQ137_spl
<=> ( ~ point(X1)
| sK0_skl(p1,X1) = a2a3
| p1 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,sK0_skl(p1,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1069,plain,
( ~ sQ121_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1062,f1066,f927]) ).
fof(f1070,definition,
! [X0,X1] :
( sQ138_spl
<=> ( ~ point(X1)
| sK0_skl(X1,p1) = a2a3
| p1 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,sK0_skl(X1,p1)) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( ~ sQ121_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1063,f1070,f927]) ).
fof(f1075,plain,
! [X0] :
( a1a2 = b1b2
| p3 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,a1a2) ),
inference(resolution,[status(thm)],[f274,f86]) ).
fof(f1076,plain,
! [X0,X1] :
( ~ point(p3)
| ~ point(X1)
| sK0_skl(p3,X1) = b1b2
| p3 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,sK0_skl(p3,X1)) ),
inference(resolution,[status(thm)],[f274,f133]) ).
fof(f1077,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(p3)
| sK0_skl(X1,p3) = b1b2
| p3 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,sK0_skl(X1,p3)) ),
inference(resolution,[status(thm)],[f274,f132]) ).
fof(f1079,definition,
! [X0] :
( sQ139_spl
<=> ( p3 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ139_spl
| p3 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,a1a2) ),
inference(component_clause,[status(thm)],[f1079]) ).
fof(f1082,plain,
( sQ14_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1075,f1079,f193]) ).
fof(f1083,definition,
! [X0,X1] :
( sQ140_spl
<=> ( ~ point(X1)
| sK0_skl(p3,X1) = b1b2
| p3 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,sK0_skl(p3,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1086,plain,
( ~ sQ101_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1076,f1083,f775]) ).
fof(f1087,definition,
! [X0,X1] :
( sQ141_spl
<=> ( ~ point(X1)
| sK0_skl(X1,p3) = b1b2
| p3 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,sK0_skl(X1,p3)) ) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1090,plain,
( ~ sQ101_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1077,f1087,f775]) ).
fof(f1093,plain,
! [X0,X1] :
( ~ point(p3)
| ~ point(X1)
| sK0_skl(p3,X1) = a1a2
| p3 = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(p3,X1)) ),
inference(resolution,[status(thm)],[f276,f133]) ).
fof(f1094,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(p3)
| sK0_skl(X1,p3) = a1a2
| p3 = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(X1,p3)) ),
inference(resolution,[status(thm)],[f276,f132]) ).
fof(f1097,definition,
! [X0,X1] :
( sQ142_spl
<=> ( ~ point(X1)
| sK0_skl(p3,X1) = a1a2
| p3 = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(p3,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1100,plain,
( ~ sQ101_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1093,f1097,f775]) ).
fof(f1101,definition,
! [X0,X1] :
( sQ143_spl
<=> ( ~ point(X1)
| sK0_skl(X1,p3) = a1a2
| p3 = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(X1,p3)) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1104,plain,
( ~ sQ101_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1094,f1101,f775]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ139_spl
| ~ line(b1b2)
| ~ line(X0)
| p3 = sK1_skl(b1b2,X0)
| ~ incident(sK1_skl(b1b2,X0),a1a2) ),
inference(resolution,[status(thm)],[f1080,f137]) ).
fof(f1106,plain,
! [X0] :
( ~ sQ139_spl
| ~ line(X0)
| ~ line(b1b2)
| p3 = sK1_skl(X0,b1b2)
| ~ incident(sK1_skl(X0,b1b2),a1a2) ),
inference(resolution,[status(thm)],[f1080,f136]) ).
fof(f1107,plain,
( ~ sQ139_spl
| p3 = p3
| ~ incident(p3,a1a2) ),
inference(resolution,[status(thm)],[f1080,f87]) ).
fof(f1108,plain,
( ~ sQ139_spl
| p3 = b2
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[f1080,f72]) ).
fof(f1109,plain,
( ~ sQ139_spl
| p3 = b1
| ~ incident(b1,a1a2) ),
inference(resolution,[status(thm)],[f1080,f71]) ).
fof(f1111,definition,
! [X0] :
( sQ144_spl
<=> ( ~ line(X0)
| p3 = sK1_skl(b1b2,X0)
| ~ incident(sK1_skl(b1b2,X0),a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ144_spl
| ~ line(X0)
| p3 = sK1_skl(b1b2,X0)
| ~ incident(sK1_skl(b1b2,X0),a1a2) ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1114,definition,
( sQ145_spl
<=> line(b1b2) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1116,plain,
( sQ145_spl
| ~ line(b1b2) ),
inference(component_clause,[status(thm)],[f1114]) ).
fof(f1117,plain,
( ~ sQ139_spl
| ~ sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1105,f1111,f1114,f1079]) ).
fof(f1118,definition,
! [X0] :
( sQ146_spl
<=> ( ~ line(X0)
| p3 = sK1_skl(X0,b1b2)
| ~ incident(sK1_skl(X0,b1b2),a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ146_spl
| ~ line(X0)
| p3 = sK1_skl(X0,b1b2)
| ~ incident(sK1_skl(X0,b1b2),a1a2) ),
inference(component_clause,[status(thm)],[f1118]) ).
fof(f1121,plain,
( ~ sQ139_spl
| ~ sQ145_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1106,f1118,f1114,f1079]) ).
fof(f1122,plain,
( ~ sQ139_spl
| sQ28_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1107,f455,f448,f1079]) ).
fof(f1123,definition,
( sQ147_spl
<=> incident(b2,a1a2) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1126,definition,
( sQ148_spl
<=> p3 = b2 ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
( ~ sQ148_spl
| p3 = b2 ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1129,plain,
( ~ sQ139_spl
| sQ148_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f1108,f1123,f1126,f1079]) ).
fof(f1130,definition,
( sQ149_spl
<=> incident(b1,a1a2) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1132,plain,
( sQ149_spl
| ~ incident(b1,a1a2) ),
inference(component_clause,[status(thm)],[f1130]) ).
fof(f1133,definition,
( sQ150_spl
<=> p3 = b1 ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1134,plain,
( ~ sQ150_spl
| p3 = b1 ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1136,plain,
( ~ sQ139_spl
| sQ150_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f1109,f1130,f1133,f1079]) ).
fof(f1137,definition,
( sQ151_spl
<=> incident(a3,a1a2) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1139,plain,
( sQ151_spl
| ~ incident(a3,a1a2) ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1140,definition,
( sQ152_spl
<=> p3 = a3 ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1141,plain,
( ~ sQ152_spl
| p3 = a3 ),
inference(component_clause,[status(thm)],[f1140]) ).
fof(f1144,plain,
( sQ145_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1116,f240]) ).
fof(f1145,plain,
sQ145_spl,
inference(contradiction_clause,[status(thm)],[f1144]) ).
fof(f1146,plain,
( ~ sQ144_spl
| ~ line(b1b2)
| ~ line(a1a2)
| ~ line(a1a2)
| p3 = sK1_skl(b1b2,a1a2) ),
inference(resolution,[status(thm)],[f1112,f136]) ).
fof(f1147,definition,
( sQ153_spl
<=> p3 = sK1_skl(b1b2,a1a2) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( ~ sQ153_spl
| p3 = sK1_skl(b1b2,a1a2) ),
inference(component_clause,[status(thm)],[f1147]) ).
fof(f1150,definition,
( sQ154_spl
<=> line(a1a2) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1152,plain,
( sQ154_spl
| ~ line(a1a2) ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1153,plain,
( ~ sQ144_spl
| ~ sQ145_spl
| ~ sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1146,f1147,f1150,f1114,f1111]) ).
fof(f1155,plain,
! [X0] :
( s2 = s3
| s = X0
| ~ incident(X0,s3)
| ~ incident(X0,s2) ),
inference(resolution,[status(thm)],[f278,f78]) ).
fof(f1156,plain,
! [X0] :
( s1 = s3
| s = X0
| ~ incident(X0,s3)
| ~ incident(X0,s1) ),
inference(resolution,[status(thm)],[f278,f77]) ).
fof(f1157,plain,
! [X0,X1] :
( ~ point(s)
| ~ point(X1)
| sK0_skl(s,X1) = s3
| s = X0
| ~ incident(X0,s3)
| ~ incident(X0,sK0_skl(s,X1)) ),
inference(resolution,[status(thm)],[f278,f133]) ).
fof(f1158,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(s)
| sK0_skl(X1,s) = s3
| s = X0
| ~ incident(X0,s3)
| ~ incident(X0,sK0_skl(X1,s)) ),
inference(resolution,[status(thm)],[f278,f132]) ).
fof(f1160,definition,
! [X0] :
( sQ155_spl
<=> ( s = X0
| ~ incident(X0,s3)
| ~ incident(X0,s2) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1161,plain,
! [X0] :
( ~ sQ155_spl
| s = X0
| ~ incident(X0,s3)
| ~ incident(X0,s2) ),
inference(component_clause,[status(thm)],[f1160]) ).
fof(f1163,definition,
( sQ156_spl
<=> s2 = s3 ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1164,plain,
( ~ sQ156_spl
| s2 = s3 ),
inference(component_clause,[status(thm)],[f1163]) ).
fof(f1166,plain,
( sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f1155,f1160,f1163]) ).
fof(f1167,definition,
! [X0] :
( sQ157_spl
<=> ( s = X0
| ~ incident(X0,s3)
| ~ incident(X0,s1) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ157_spl
| s = X0
| ~ incident(X0,s3)
| ~ incident(X0,s1) ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1170,definition,
( sQ158_spl
<=> s1 = s3 ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1171,plain,
( ~ sQ158_spl
| s1 = s3 ),
inference(component_clause,[status(thm)],[f1170]) ).
fof(f1173,plain,
( sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1156,f1167,f1170]) ).
fof(f1174,definition,
! [X0,X1] :
( sQ159_spl
<=> ( ~ point(X1)
| sK0_skl(s,X1) = s3
| s = X0
| ~ incident(X0,s3)
| ~ incident(X0,sK0_skl(s,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1177,definition,
( sQ160_spl
<=> point(s) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1179,plain,
( sQ160_spl
| ~ point(s) ),
inference(component_clause,[status(thm)],[f1177]) ).
fof(f1180,plain,
( ~ sQ160_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1157,f1174,f1177]) ).
fof(f1181,definition,
! [X0,X1] :
( sQ161_spl
<=> ( ~ point(X1)
| sK0_skl(X1,s) = s3
| s = X0
| ~ incident(X0,s3)
| ~ incident(X0,sK0_skl(X1,s)) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1184,plain,
( ~ sQ160_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f1158,f1181,f1177]) ).
fof(f1185,plain,
( sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1179,f213]) ).
fof(f1186,plain,
sQ160_spl,
inference(contradiction_clause,[status(thm)],[f1185]) ).
fof(f1189,plain,
( ~ sQ153_spl
| incident(p3,b1b2)
| ~ line(b1b2)
| ~ line(a1a2) ),
inference(paramodulation,[status(thm)],[f1148,f137]) ).
fof(f1190,plain,
( ~ sQ153_spl
| incident(p3,a1a2)
| ~ line(b1b2)
| ~ line(a1a2) ),
inference(paramodulation,[status(thm)],[f1148,f136]) ).
fof(f1193,plain,
( ~ sQ153_spl
| sQ27_spl
| ~ sQ145_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f1189,f1150,f1114,f445,f1147]) ).
fof(f1194,plain,
( ~ sQ153_spl
| sQ30_spl
| ~ sQ145_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f1190,f1150,f1114,f455,f1147]) ).
fof(f1195,plain,
( sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1152,f241]) ).
fof(f1196,plain,
sQ154_spl,
inference(contradiction_clause,[status(thm)],[f1195]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ157_spl
| ~ line(s1)
| ~ line(X0)
| s = sK1_skl(s1,X0)
| ~ incident(sK1_skl(s1,X0),s3) ),
inference(resolution,[status(thm)],[f1168,f137]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ157_spl
| ~ line(X0)
| ~ line(s1)
| s = sK1_skl(X0,s1)
| ~ incident(sK1_skl(X0,s1),s3) ),
inference(resolution,[status(thm)],[f1168,f136]) ).
fof(f1207,plain,
( ~ sQ157_spl
| s = s
| ~ incident(s,s3) ),
inference(resolution,[status(thm)],[f1168,f77]) ).
fof(f1208,plain,
( ~ sQ157_spl
| s = b1
| ~ incident(b1,s3) ),
inference(resolution,[status(thm)],[f1168,f83]) ).
fof(f1209,plain,
( ~ sQ157_spl
| s = a1
| ~ incident(a1,s3) ),
inference(resolution,[status(thm)],[f1168,f80]) ).
fof(f1210,definition,
! [X0] :
( sQ162_spl
<=> ( ~ line(X0)
| s = sK1_skl(s1,X0)
| ~ incident(sK1_skl(s1,X0),s3) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1213,definition,
( sQ163_spl
<=> line(s1) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1215,plain,
( sQ163_spl
| ~ line(s1) ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1216,plain,
( ~ sQ157_spl
| ~ sQ163_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1205,f1210,f1213,f1167]) ).
fof(f1217,definition,
! [X0] :
( sQ164_spl
<=> ( ~ line(X0)
| s = sK1_skl(X0,s1)
| ~ incident(sK1_skl(X0,s1),s3) ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1220,plain,
( ~ sQ157_spl
| ~ sQ163_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1206,f1217,f1213,f1167]) ).
fof(f1221,plain,
( ~ sQ157_spl
| sQ33_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1207,f462,f465,f1167]) ).
fof(f1222,definition,
( sQ165_spl
<=> incident(b1,s3) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1224,plain,
( sQ165_spl
| ~ incident(b1,s3) ),
inference(component_clause,[status(thm)],[f1222]) ).
fof(f1225,definition,
( sQ166_spl
<=> s = b1 ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1226,plain,
( ~ sQ166_spl
| s = b1 ),
inference(component_clause,[status(thm)],[f1225]) ).
fof(f1228,plain,
( ~ sQ157_spl
| sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f1208,f1222,f1225,f1167]) ).
fof(f1229,definition,
( sQ167_spl
<=> incident(a1,s3) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1231,plain,
( sQ167_spl
| ~ incident(a1,s3) ),
inference(component_clause,[status(thm)],[f1229]) ).
fof(f1232,definition,
( sQ168_spl
<=> s = a1 ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1233,plain,
( ~ sQ168_spl
| s = a1 ),
inference(component_clause,[status(thm)],[f1232]) ).
fof(f1235,plain,
( ~ sQ157_spl
| sQ168_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f1209,f1229,f1232,f1167]) ).
fof(f1236,plain,
( sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1215,f244]) ).
fof(f1237,plain,
sQ163_spl,
inference(contradiction_clause,[status(thm)],[f1236]) ).
fof(f1239,plain,
( ~ sQ158_spl
| incident(b1,s3) ),
inference(backward_demodulation,[status(thm)],[f1171,f83]) ).
fof(f1240,plain,
( ~ sQ158_spl
| incident(a1,s3) ),
inference(backward_demodulation,[status(thm)],[f1171,f80]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ155_spl
| ~ line(s2)
| ~ line(X0)
| s = sK1_skl(s2,X0)
| ~ incident(sK1_skl(s2,X0),s3) ),
inference(resolution,[status(thm)],[f1161,f137]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ155_spl
| ~ line(X0)
| ~ line(s2)
| s = sK1_skl(X0,s2)
| ~ incident(sK1_skl(X0,s2),s3) ),
inference(resolution,[status(thm)],[f1161,f136]) ).
fof(f1266,plain,
( ~ sQ155_spl
| s = s
| ~ incident(s,s3) ),
inference(resolution,[status(thm)],[f1161,f78]) ).
fof(f1267,plain,
( ~ sQ155_spl
| s = b2
| ~ incident(b2,s3) ),
inference(resolution,[status(thm)],[f1161,f84]) ).
fof(f1268,plain,
( ~ sQ155_spl
| s = a2
| ~ incident(a2,s3) ),
inference(resolution,[status(thm)],[f1161,f81]) ).
fof(f1269,definition,
! [X0] :
( sQ169_spl
<=> ( ~ line(X0)
| s = sK1_skl(s2,X0)
| ~ incident(sK1_skl(s2,X0),s3) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1272,definition,
( sQ170_spl
<=> line(s2) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1274,plain,
( sQ170_spl
| ~ line(s2) ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1275,plain,
( ~ sQ155_spl
| ~ sQ170_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1264,f1269,f1272,f1160]) ).
fof(f1276,definition,
! [X0] :
( sQ171_spl
<=> ( ~ line(X0)
| s = sK1_skl(X0,s2)
| ~ incident(sK1_skl(X0,s2),s3) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1279,plain,
( ~ sQ155_spl
| ~ sQ170_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1265,f1276,f1272,f1160]) ).
fof(f1280,plain,
( ~ sQ155_spl
| sQ33_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1266,f462,f465,f1160]) ).
fof(f1281,definition,
( sQ172_spl
<=> incident(b2,s3) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1283,plain,
( sQ172_spl
| ~ incident(b2,s3) ),
inference(component_clause,[status(thm)],[f1281]) ).
fof(f1284,definition,
( sQ173_spl
<=> s = b2 ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1285,plain,
( ~ sQ173_spl
| s = b2 ),
inference(component_clause,[status(thm)],[f1284]) ).
fof(f1287,plain,
( ~ sQ155_spl
| sQ173_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f1267,f1281,f1284,f1160]) ).
fof(f1288,definition,
( sQ174_spl
<=> incident(a2,s3) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1290,plain,
( sQ174_spl
| ~ incident(a2,s3) ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1291,definition,
( sQ175_spl
<=> s = a2 ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1292,plain,
( ~ sQ175_spl
| s = a2 ),
inference(component_clause,[status(thm)],[f1291]) ).
fof(f1294,plain,
( ~ sQ155_spl
| sQ175_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f1268,f1288,f1291,f1160]) ).
fof(f1295,plain,
( sQ170_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1274,f243]) ).
fof(f1296,plain,
sQ170_spl,
inference(contradiction_clause,[status(thm)],[f1295]) ).
fof(f1298,plain,
( ~ sQ156_spl
| incident(b2,s3) ),
inference(backward_demodulation,[status(thm)],[f1164,f84]) ).
fof(f1299,plain,
( ~ sQ156_spl
| incident(a2,s3) ),
inference(backward_demodulation,[status(thm)],[f1164,f81]) ).
fof(f1327,plain,
( ~ sQ146_spl
| ~ line(a1a2)
| ~ line(b1b2)
| ~ line(a1a2)
| p3 = sK1_skl(a1a2,b1b2) ),
inference(resolution,[status(thm)],[f1119,f137]) ).
fof(f1328,definition,
( sQ176_spl
<=> p3 = sK1_skl(a1a2,b1b2) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1329,plain,
( ~ sQ176_spl
| p3 = sK1_skl(a1a2,b1b2) ),
inference(component_clause,[status(thm)],[f1328]) ).
fof(f1331,plain,
( ~ sQ146_spl
| ~ sQ145_spl
| ~ sQ154_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1327,f1328,f1150,f1114,f1118]) ).
fof(f1341,plain,
! [X0] :
( b3b1 = s3
| b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,b3b1) ),
inference(resolution,[status(thm)],[f284,f75]) ).
fof(f1342,plain,
! [X0] :
( b2b3 = s3
| b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,b2b3) ),
inference(resolution,[status(thm)],[f284,f74]) ).
fof(f1343,plain,
! [X0,X1] :
( ~ point(b3)
| ~ point(X1)
| sK0_skl(b3,X1) = s3
| b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,sK0_skl(b3,X1)) ),
inference(resolution,[status(thm)],[f284,f133]) ).
fof(f1344,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(b3)
| sK0_skl(X1,b3) = s3
| b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,sK0_skl(X1,b3)) ),
inference(resolution,[status(thm)],[f284,f132]) ).
fof(f1346,definition,
! [X0] :
( sQ177_spl
<=> ( b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,b3b1) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ177_spl
| b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,b3b1) ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1349,definition,
( sQ178_spl
<=> b3b1 = s3 ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1350,plain,
( ~ sQ178_spl
| b3b1 = s3 ),
inference(component_clause,[status(thm)],[f1349]) ).
fof(f1352,plain,
( sQ178_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1341,f1346,f1349]) ).
fof(f1353,definition,
! [X0] :
( sQ179_spl
<=> ( b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,b2b3) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ179_spl
| b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,b2b3) ),
inference(component_clause,[status(thm)],[f1353]) ).
fof(f1356,definition,
( sQ180_spl
<=> b2b3 = s3 ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1357,plain,
( ~ sQ180_spl
| b2b3 = s3 ),
inference(component_clause,[status(thm)],[f1356]) ).
fof(f1359,plain,
( sQ180_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1342,f1353,f1356]) ).
fof(f1360,definition,
! [X0,X1] :
( sQ181_spl
<=> ( ~ point(X1)
| sK0_skl(b3,X1) = s3
| b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,sK0_skl(b3,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1363,definition,
( sQ182_spl
<=> point(b3) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1365,plain,
( sQ182_spl
| ~ point(b3) ),
inference(component_clause,[status(thm)],[f1363]) ).
fof(f1366,plain,
( ~ sQ182_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1343,f1360,f1363]) ).
fof(f1367,definition,
! [X0,X1] :
( sQ183_spl
<=> ( ~ point(X1)
| sK0_skl(X1,b3) = s3
| b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,sK0_skl(X1,b3)) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1370,plain,
( ~ sQ182_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1344,f1367,f1363]) ).
fof(f1371,plain,
( sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1365,f216]) ).
fof(f1372,plain,
sQ182_spl,
inference(contradiction_clause,[status(thm)],[f1371]) ).
fof(f1373,plain,
! [X0] :
( ~ sQ179_spl
| ~ line(b2b3)
| ~ line(X0)
| b3 = sK1_skl(b2b3,X0)
| ~ incident(sK1_skl(b2b3,X0),s3) ),
inference(resolution,[status(thm)],[f1354,f137]) ).
fof(f1374,plain,
! [X0] :
( ~ sQ179_spl
| ~ line(X0)
| ~ line(b2b3)
| b3 = sK1_skl(X0,b2b3)
| ~ incident(sK1_skl(X0,b2b3),s3) ),
inference(resolution,[status(thm)],[f1354,f136]) ).
fof(f1375,plain,
( ~ sQ179_spl
| b3 = p1
| ~ incident(p1,s3) ),
inference(resolution,[status(thm)],[f1354,f89]) ).
fof(f1376,plain,
( ~ sQ179_spl
| b3 = b3
| ~ incident(b3,s3) ),
inference(resolution,[status(thm)],[f1354,f74]) ).
fof(f1377,plain,
( ~ sQ179_spl
| b3 = b2
| ~ incident(b2,s3) ),
inference(resolution,[status(thm)],[f1354,f73]) ).
fof(f1378,plain,
( ~ sQ2_spl
| ~ sQ179_spl
| b3 = a1
| ~ incident(a1,s3) ),
inference(resolution,[status(thm)],[f1354,f147]) ).
fof(f1379,definition,
! [X0] :
( sQ184_spl
<=> ( ~ line(X0)
| b3 = sK1_skl(b2b3,X0)
| ~ incident(sK1_skl(b2b3,X0),s3) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1382,plain,
( ~ sQ179_spl
| ~ sQ124_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1373,f1379,f946,f1353]) ).
fof(f1383,definition,
! [X0] :
( sQ185_spl
<=> ( ~ line(X0)
| b3 = sK1_skl(X0,b2b3)
| ~ incident(sK1_skl(X0,b2b3),s3) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1386,plain,
( ~ sQ179_spl
| ~ sQ124_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1374,f1383,f946,f1353]) ).
fof(f1387,definition,
( sQ186_spl
<=> incident(p1,s3) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1389,plain,
( sQ186_spl
| ~ incident(p1,s3) ),
inference(component_clause,[status(thm)],[f1387]) ).
fof(f1390,plain,
( ~ sQ179_spl
| sQ127_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f1375,f1387,f958,f1353]) ).
fof(f1391,plain,
( ~ sQ179_spl
| sQ40_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1376,f486,f489,f1353]) ).
fof(f1392,plain,
( ~ sQ179_spl
| sQ12_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f1377,f1281,f185,f1353]) ).
fof(f1393,definition,
( sQ187_spl
<=> b3 = a1 ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1394,plain,
( ~ sQ187_spl
| b3 = a1 ),
inference(component_clause,[status(thm)],[f1393]) ).
fof(f1396,plain,
( ~ sQ2_spl
| ~ sQ179_spl
| sQ187_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f1378,f1229,f1393,f1353,f146]) ).
fof(f1398,plain,
( ~ sQ136_spl
| ~ sQ127_spl
| b3 = sK1_skl(a2a3,b2b3) ),
inference(backward_demodulation,[status(thm)],[f959,f1049]) ).
fof(f1404,plain,
( sQ98_spl
| ~ sQ127_spl
| ~ incident(b3,a1a2) ),
inference(backward_demodulation,[status(thm)],[f959,f767]) ).
fof(f1409,plain,
( ~ sQ127_spl
| incident(b3,a2a3) ),
inference(backward_demodulation,[status(thm)],[f959,f88]) ).
fof(f1415,plain,
( sQ15_spl
| ~ sQ180_spl
| a2a3 != s3 ),
inference(backward_demodulation,[status(thm)],[f1357,f199]) ).
fof(f1425,plain,
( ~ sQ2_spl
| ~ sQ180_spl
| incident(a1,s3) ),
inference(forward_demodulation,[status(thm)],[f1357,f147]) ).
fof(f1432,plain,
! [X0] :
( ~ sQ127_spl
| a2a3 = s3
| b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,a2a3) ),
inference(resolution,[status(thm)],[f1409,f284]) ).
fof(f1441,definition,
! [X0] :
( sQ188_spl
<=> ( b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,a2a3) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ188_spl
| b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,a2a3) ),
inference(component_clause,[status(thm)],[f1441]) ).
fof(f1444,definition,
( sQ189_spl
<=> a2a3 = s3 ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1445,plain,
( ~ sQ189_spl
| a2a3 = s3 ),
inference(component_clause,[status(thm)],[f1444]) ).
fof(f1447,plain,
( ~ sQ127_spl
| sQ189_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1432,f1441,f1444,f958]) ).
fof(f1451,plain,
( sQ172_spl
| ~ sQ156_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1283,f1298]) ).
fof(f1452,plain,
( sQ172_spl
| ~ sQ156_spl ),
inference(contradiction_clause,[status(thm)],[f1451]) ).
fof(f1453,plain,
( sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f464,f79]) ).
fof(f1454,plain,
sQ32_spl,
inference(contradiction_clause,[status(thm)],[f1453]) ).
fof(f1455,plain,
( sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f85]) ).
fof(f1456,plain,
sQ39_spl,
inference(contradiction_clause,[status(thm)],[f1455]) ).
fof(f1457,plain,
( sQ174_spl
| ~ sQ156_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1290,f1299]) ).
fof(f1458,plain,
( sQ174_spl
| ~ sQ156_spl ),
inference(contradiction_clause,[status(thm)],[f1457]) ).
fof(f1459,plain,
( ~ sQ189_spl
| sQ15_spl
| ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1445,f1415]) ).
fof(f1460,plain,
( ~ sQ189_spl
| sQ15_spl
| ~ sQ180_spl ),
inference(contradiction_clause,[status(thm)],[f1459]) ).
fof(f1563,plain,
( ~ sQ158_spl
| sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1239,f1224]) ).
fof(f1564,plain,
( ~ sQ158_spl
| sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f1563]) ).
fof(f1565,plain,
( ~ sQ158_spl
| sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1240,f1231]) ).
fof(f1566,plain,
( ~ sQ158_spl
| sQ167_spl ),
inference(contradiction_clause,[status(thm)],[f1565]) ).
fof(f1626,plain,
! [X0] :
( ~ sQ7_spl
| a1a2 = s3
| b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,a1a2) ),
inference(resolution,[status(thm)],[f163,f284]) ).
fof(f1635,definition,
! [X0] :
( sQ190_spl
<=> ( b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ190_spl
| b3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,a1a2) ),
inference(component_clause,[status(thm)],[f1635]) ).
fof(f1638,definition,
( sQ191_spl
<=> a1a2 = s3 ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1639,plain,
( ~ sQ191_spl
| a1a2 = s3 ),
inference(component_clause,[status(thm)],[f1638]) ).
fof(f1641,plain,
( ~ sQ7_spl
| sQ191_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1626,f1635,f1638,f162]) ).
fof(f1651,plain,
( sQ151_spl
| ~ sQ191_spl
| ~ incident(a3,s3) ),
inference(backward_demodulation,[status(thm)],[f1639,f1139]) ).
fof(f1661,plain,
( sQ151_spl
| ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1651,f82]) ).
fof(f1662,plain,
( sQ151_spl
| ~ sQ191_spl ),
inference(contradiction_clause,[status(thm)],[f1661]) ).
fof(f1783,plain,
! [X0] :
( ~ sQ177_spl
| ~ line(b3b1)
| ~ line(X0)
| b3 = sK1_skl(b3b1,X0)
| ~ incident(sK1_skl(b3b1,X0),s3) ),
inference(resolution,[status(thm)],[f1347,f137]) ).
fof(f1784,plain,
! [X0] :
( ~ sQ177_spl
| ~ line(X0)
| ~ line(b3b1)
| b3 = sK1_skl(X0,b3b1)
| ~ incident(sK1_skl(X0,b3b1),s3) ),
inference(resolution,[status(thm)],[f1347,f136]) ).
fof(f1785,plain,
( ~ sQ177_spl
| b3 = p2
| ~ incident(p2,s3) ),
inference(resolution,[status(thm)],[f1347,f91]) ).
fof(f1786,plain,
( ~ sQ177_spl
| b3 = b3
| ~ incident(b3,s3) ),
inference(resolution,[status(thm)],[f1347,f75]) ).
fof(f1787,plain,
( ~ sQ177_spl
| b3 = b1
| ~ incident(b1,s3) ),
inference(resolution,[status(thm)],[f1347,f76]) ).
fof(f1789,definition,
! [X0] :
( sQ192_spl
<=> ( ~ line(X0)
| b3 = sK1_skl(b3b1,X0)
| ~ incident(sK1_skl(b3b1,X0),s3) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1792,plain,
( ~ sQ177_spl
| ~ sQ108_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1783,f1789,f837,f1346]) ).
fof(f1793,definition,
! [X0] :
( sQ193_spl
<=> ( ~ line(X0)
| b3 = sK1_skl(X0,b3b1)
| ~ incident(sK1_skl(X0,b3b1),s3) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1796,plain,
( ~ sQ177_spl
| ~ sQ108_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1784,f1793,f837,f1346]) ).
fof(f1797,definition,
( sQ194_spl
<=> incident(p2,s3) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1800,plain,
( ~ sQ177_spl
| sQ111_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1785,f1797,f849,f1346]) ).
fof(f1801,plain,
( ~ sQ177_spl
| sQ40_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1786,f486,f489,f1346]) ).
fof(f1802,plain,
( ~ sQ177_spl
| sQ13_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f1787,f1222,f189,f1346]) ).
fof(f1803,definition,
( sQ195_spl
<=> b3 = a2 ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1804,plain,
( ~ sQ195_spl
| b3 = a2 ),
inference(component_clause,[status(thm)],[f1803]) ).
fof(f1816,plain,
( ~ sQ111_spl
| incident(b3,a3a1) ),
inference(backward_demodulation,[status(thm)],[f850,f90]) ).
fof(f1819,plain,
( ~ sQ111_spl
| sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1816,f848]) ).
fof(f1820,plain,
( ~ sQ111_spl
| sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f1819]) ).
fof(f1821,plain,
( ~ sQ3_spl
| ~ sQ178_spl
| incident(a2,s3) ),
inference(backward_demodulation,[status(thm)],[f1350,f150]) ).
fof(f1823,plain,
( ~ sQ178_spl
| incident(b1,s3) ),
inference(backward_demodulation,[status(thm)],[f1350,f76]) ).
fof(f1826,plain,
( ~ sQ3_spl
| ~ sQ178_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1821,f1288,f1349,f149]) ).
fof(f1828,plain,
( ~ sQ178_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f1823,f1222,f1349]) ).
fof(f1829,plain,
( ~ sQ195_spl
| incident(b3,a1a2) ),
inference(backward_demodulation,[status(thm)],[f1804,f66]) ).
fof(f1830,plain,
( sQ132_spl
| ~ sQ195_spl
| ~ incident(b3,a3a1) ),
inference(backward_demodulation,[status(thm)],[f1804,f989]) ).
fof(f1832,plain,
( sQ174_spl
| ~ sQ195_spl
| ~ incident(b3,s3) ),
inference(backward_demodulation,[status(thm)],[f1804,f1290]) ).
fof(f1834,plain,
( ~ sQ195_spl
| incident(b3,a2a3) ),
inference(backward_demodulation,[status(thm)],[f1804,f67]) ).
fof(f1837,plain,
( ~ sQ195_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1829,f162,f1803]) ).
fof(f1838,plain,
( sQ132_spl
| ~ sQ195_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f1830,f846,f1803,f987]) ).
fof(f1839,plain,
( sQ174_spl
| ~ sQ195_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1832,f486,f1803,f1288]) ).
fof(f1840,plain,
( ~ sQ195_spl
| sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1834,f957]) ).
fof(f1841,plain,
( ~ sQ195_spl
| sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f1840]) ).
fof(f1894,plain,
( ~ sQ180_spl
| incident(b2,s3) ),
inference(backward_demodulation,[status(thm)],[f1357,f73]) ).
fof(f1899,plain,
( ~ sQ180_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1894,f1281,f1356]) ).
fof(f2048,definition,
( sQ196_spl
<=> line(s3) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f2050,plain,
( sQ196_spl
| ~ line(s3) ),
inference(component_clause,[status(thm)],[f2048]) ).
fof(f2054,plain,
( sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2050,f242]) ).
fof(f2055,plain,
sQ196_spl,
inference(contradiction_clause,[status(thm)],[f2054]) ).
fof(f2083,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ111_spl
| ~ incident(b3,X0)
| ~ incident(p1,X0)
| ~ incident(p3,X0) ),
inference(backward_demodulation,[status(thm)],[f850,f140]) ).
fof(f2153,definition,
( sQ198_spl
<=> a3a1 = s3 ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f2154,plain,
( ~ sQ198_spl
| a3a1 = s3 ),
inference(component_clause,[status(thm)],[f2153]) ).
fof(f2161,plain,
( ~ sQ0_spl
| ~ sQ111_spl
| ~ incident(b3,a1a2)
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[f2083,f86]) ).
fof(f2162,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ111_spl
| ~ point(p3)
| ~ point(X0)
| ~ incident(b3,sK0_skl(p3,X0))
| ~ incident(p1,sK0_skl(p3,X0)) ),
inference(resolution,[status(thm)],[f2083,f133]) ).
fof(f2163,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ111_spl
| ~ point(X0)
| ~ point(p3)
| ~ incident(b3,sK0_skl(X0,p3))
| ~ incident(p1,sK0_skl(X0,p3)) ),
inference(resolution,[status(thm)],[f2083,f132]) ).
fof(f2164,definition,
( sQ199_spl
<=> incident(b3,b1b2) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f2166,plain,
( sQ199_spl
| ~ incident(b3,b1b2) ),
inference(component_clause,[status(thm)],[f2164]) ).
fof(f2168,plain,
( ~ sQ0_spl
| ~ sQ111_spl
| ~ sQ7_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f2161,f765,f162,f849,f139]) ).
fof(f2169,definition,
! [X0] :
( sQ200_spl
<=> ( ~ point(X0)
| ~ incident(b3,sK0_skl(p3,X0))
| ~ incident(p1,sK0_skl(p3,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f2172,plain,
( ~ sQ0_spl
| ~ sQ111_spl
| ~ sQ101_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f2162,f2169,f775,f849,f139]) ).
fof(f2173,definition,
! [X0] :
( sQ201_spl
<=> ( ~ point(X0)
| ~ incident(b3,sK0_skl(X0,p3))
| ~ incident(p1,sK0_skl(X0,p3)) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f2176,plain,
( ~ sQ0_spl
| ~ sQ111_spl
| ~ sQ101_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f2163,f2173,f775,f849,f139]) ).
fof(f2181,plain,
( ~ sQ198_spl
| incident(a1,s3) ),
inference(backward_demodulation,[status(thm)],[f2154,f70]) ).
fof(f2183,plain,
( ~ sQ198_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f2181,f1229,f2153]) ).
fof(f2249,plain,
! [X0] :
( b2b3 = b3b1
| b3 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,b2b3) ),
inference(resolution,[status(thm)],[f286,f74]) ).
fof(f2251,plain,
! [X0,X1] :
( ~ point(b3)
| ~ point(X1)
| sK0_skl(b3,X1) = b3b1
| b3 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,sK0_skl(b3,X1)) ),
inference(resolution,[status(thm)],[f286,f133]) ).
fof(f2252,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(b3)
| sK0_skl(X1,b3) = b3b1
| b3 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,sK0_skl(X1,b3)) ),
inference(resolution,[status(thm)],[f286,f132]) ).
fof(f2254,definition,
! [X0] :
( sQ202_spl
<=> ( b3 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,b2b3) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f2255,plain,
! [X0] :
( ~ sQ202_spl
| b3 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,b2b3) ),
inference(component_clause,[status(thm)],[f2254]) ).
fof(f2257,definition,
( sQ203_spl
<=> b2b3 = b3b1 ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2258,plain,
( ~ sQ203_spl
| b2b3 = b3b1 ),
inference(component_clause,[status(thm)],[f2257]) ).
fof(f2259,plain,
( sQ203_spl
| b2b3 != b3b1 ),
inference(component_clause,[status(thm)],[f2257]) ).
fof(f2260,plain,
( sQ203_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f2249,f2254,f2257]) ).
fof(f2262,definition,
! [X0,X1] :
( sQ204_spl
<=> ( ~ point(X1)
| sK0_skl(b3,X1) = b3b1
| b3 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,sK0_skl(b3,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2265,plain,
( ~ sQ182_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f2251,f2262,f1363]) ).
fof(f2266,definition,
! [X0,X1] :
( sQ205_spl
<=> ( ~ point(X1)
| sK0_skl(X1,b3) = b3b1
| b3 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,sK0_skl(X1,b3)) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2269,plain,
( ~ sQ182_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f2252,f2266,f1363]) ).
fof(f2272,plain,
( ~ sQ203_spl
| incident(p1,b3b1) ),
inference(backward_demodulation,[status(thm)],[f2258,f89]) ).
fof(f2286,definition,
( sQ206_spl
<=> incident(a1,b3b1) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f2373,plain,
! [X0,X1] :
( ~ point(b3)
| ~ point(X1)
| sK0_skl(b3,X1) = b2b3
| b3 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,sK0_skl(b3,X1)) ),
inference(resolution,[status(thm)],[f288,f133]) ).
fof(f2374,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(b3)
| sK0_skl(X1,b3) = b2b3
| b3 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,sK0_skl(X1,b3)) ),
inference(resolution,[status(thm)],[f288,f132]) ).
fof(f2378,definition,
! [X0,X1] :
( sQ207_spl
<=> ( ~ point(X1)
| sK0_skl(b3,X1) = b2b3
| b3 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,sK0_skl(b3,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f2381,plain,
( ~ sQ182_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2373,f2378,f1363]) ).
fof(f2382,definition,
! [X0,X1] :
( sQ208_spl
<=> ( ~ point(X1)
| sK0_skl(X1,b3) = b2b3
| b3 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,sK0_skl(X1,b3)) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2385,plain,
( ~ sQ182_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f2374,f2382,f1363]) ).
fof(f2386,plain,
! [X0] :
( b2b3 = s2
| b2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,b2b3) ),
inference(resolution,[status(thm)],[f290,f73]) ).
fof(f2388,plain,
! [X0] :
( b1b2 = s2
| b2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,b1b2) ),
inference(resolution,[status(thm)],[f290,f72]) ).
fof(f2389,plain,
! [X0,X1] :
( ~ point(b2)
| ~ point(X1)
| sK0_skl(b2,X1) = s2
| b2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,sK0_skl(b2,X1)) ),
inference(resolution,[status(thm)],[f290,f133]) ).
fof(f2390,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(b2)
| sK0_skl(X1,b2) = s2
| b2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,sK0_skl(X1,b2)) ),
inference(resolution,[status(thm)],[f290,f132]) ).
fof(f2391,definition,
! [X0] :
( sQ209_spl
<=> ( b2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,b2b3) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2392,plain,
! [X0] :
( ~ sQ209_spl
| b2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,b2b3) ),
inference(component_clause,[status(thm)],[f2391]) ).
fof(f2394,definition,
( sQ210_spl
<=> b2b3 = s2 ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2395,plain,
( ~ sQ210_spl
| b2b3 = s2 ),
inference(component_clause,[status(thm)],[f2394]) ).
fof(f2396,plain,
( sQ210_spl
| b2b3 != s2 ),
inference(component_clause,[status(thm)],[f2394]) ).
fof(f2397,plain,
( sQ210_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2386,f2391,f2394]) ).
fof(f2399,definition,
! [X0] :
( sQ211_spl
<=> ( b2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,b1b2) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2400,plain,
! [X0] :
( ~ sQ211_spl
| b2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,b1b2) ),
inference(component_clause,[status(thm)],[f2399]) ).
fof(f2402,definition,
( sQ212_spl
<=> b1b2 = s2 ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2403,plain,
( ~ sQ212_spl
| b1b2 = s2 ),
inference(component_clause,[status(thm)],[f2402]) ).
fof(f2405,plain,
( sQ212_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f2388,f2399,f2402]) ).
fof(f2406,definition,
! [X0,X1] :
( sQ213_spl
<=> ( ~ point(X1)
| sK0_skl(b2,X1) = s2
| b2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,sK0_skl(b2,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2409,definition,
( sQ214_spl
<=> point(b2) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2411,plain,
( sQ214_spl
| ~ point(b2) ),
inference(component_clause,[status(thm)],[f2409]) ).
fof(f2412,plain,
( ~ sQ214_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f2389,f2406,f2409]) ).
fof(f2413,definition,
! [X0,X1] :
( sQ215_spl
<=> ( ~ point(X1)
| sK0_skl(X1,b2) = s2
| b2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,sK0_skl(X1,b2)) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2416,plain,
( ~ sQ214_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f2390,f2413,f2409]) ).
fof(f2417,plain,
( sQ214_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2411,f219]) ).
fof(f2418,plain,
sQ214_spl,
inference(contradiction_clause,[status(thm)],[f2417]) ).
fof(f2421,plain,
! [X0] :
( b1b2 = b2b3
| b2 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,b1b2) ),
inference(resolution,[status(thm)],[f292,f72]) ).
fof(f2422,plain,
! [X0,X1] :
( ~ point(b2)
| ~ point(X1)
| sK0_skl(b2,X1) = b2b3
| b2 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,sK0_skl(b2,X1)) ),
inference(resolution,[status(thm)],[f292,f133]) ).
fof(f2423,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(b2)
| sK0_skl(X1,b2) = b2b3
| b2 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,sK0_skl(X1,b2)) ),
inference(resolution,[status(thm)],[f292,f132]) ).
fof(f2426,definition,
! [X0] :
( sQ216_spl
<=> ( b2 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,b1b2) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2427,plain,
! [X0] :
( ~ sQ216_spl
| b2 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,b1b2) ),
inference(component_clause,[status(thm)],[f2426]) ).
fof(f2429,definition,
( sQ217_spl
<=> b1b2 = b2b3 ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2430,plain,
( ~ sQ217_spl
| b1b2 = b2b3 ),
inference(component_clause,[status(thm)],[f2429]) ).
fof(f2432,plain,
( sQ217_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f2421,f2426,f2429]) ).
fof(f2433,definition,
! [X0,X1] :
( sQ218_spl
<=> ( ~ point(X1)
| sK0_skl(b2,X1) = b2b3
| b2 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,sK0_skl(b2,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2436,plain,
( ~ sQ214_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f2422,f2433,f2409]) ).
fof(f2437,definition,
! [X0,X1] :
( sQ219_spl
<=> ( ~ point(X1)
| sK0_skl(X1,b2) = b2b3
| b2 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,sK0_skl(X1,b2)) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2440,plain,
( ~ sQ214_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2423,f2437,f2409]) ).
fof(f2450,plain,
( ~ sQ212_spl
| incident(b1,s2) ),
inference(backward_demodulation,[status(thm)],[f2403,f71]) ).
fof(f2457,plain,
( ~ sQ210_spl
| incident(b3,s2) ),
inference(backward_demodulation,[status(thm)],[f2395,f74]) ).
fof(f2458,plain,
( ~ sQ210_spl
| incident(p1,s2) ),
inference(backward_demodulation,[status(thm)],[f2395,f89]) ).
fof(f2474,definition,
( sQ220_spl
<=> incident(a3,s2) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f2476,plain,
( sQ220_spl
| ~ incident(a3,s2) ),
inference(component_clause,[status(thm)],[f2474]) ).
fof(f2493,definition,
! [X0] :
( sQ221_spl
<=> ( b3 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,s2) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2494,plain,
! [X0] :
( ~ sQ221_spl
| b3 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,s2) ),
inference(component_clause,[status(thm)],[f2493]) ).
fof(f2496,definition,
( sQ222_spl
<=> s2 = b3b1 ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2497,plain,
( ~ sQ222_spl
| s2 = b3b1 ),
inference(component_clause,[status(thm)],[f2496]) ).
fof(f2504,definition,
( sQ224_spl
<=> incident(b3,s2) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2506,plain,
( sQ224_spl
| ~ incident(b3,s2) ),
inference(component_clause,[status(thm)],[f2504]) ).
fof(f2517,plain,
( ~ sQ222_spl
| incident(b1,s2) ),
inference(backward_demodulation,[status(thm)],[f2497,f76]) ).
fof(f2577,plain,
( ~ sQ217_spl
| incident(b3,b1b2) ),
inference(forward_demodulation,[status(thm)],[f2430,f74]) ).
fof(f2578,plain,
( ~ sQ217_spl
| sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2577,f2166]) ).
fof(f2579,plain,
( ~ sQ217_spl
| sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f2578]) ).
fof(f2649,definition,
( sQ226_spl
<=> b1b2 = s3 ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2650,plain,
( ~ sQ226_spl
| b1b2 = s3 ),
inference(component_clause,[status(thm)],[f2649]) ).
fof(f2657,plain,
( ~ sQ226_spl
| incident(b1,s3) ),
inference(backward_demodulation,[status(thm)],[f2650,f71]) ).
fof(f2658,plain,
( ~ sQ226_spl
| incident(b2,s3) ),
inference(backward_demodulation,[status(thm)],[f2650,f72]) ).
fof(f2664,plain,
( ~ sQ226_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f2657,f1222,f2649]) ).
fof(f2665,plain,
( ~ sQ226_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f2658,f1281,f2649]) ).
fof(f2781,plain,
( ~ sQ188_spl
| b3 = a3
| ~ incident(a3,s3) ),
inference(resolution,[status(thm)],[f1442,f68]) ).
fof(f2793,definition,
( sQ229_spl
<=> b3 = a3 ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2794,plain,
( ~ sQ229_spl
| b3 = a3 ),
inference(component_clause,[status(thm)],[f2793]) ).
fof(f2795,plain,
( sQ229_spl
| b3 != a3 ),
inference(component_clause,[status(thm)],[f2793]) ).
fof(f2796,plain,
( ~ sQ188_spl
| sQ229_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2781,f535,f2793,f1441]) ).
fof(f2797,plain,
( ~ sQ2_spl
| ~ sQ180_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1425,f1229,f1356,f146]) ).
fof(f2801,plain,
( ~ sQ168_spl
| incident(s,a3a1) ),
inference(backward_demodulation,[status(thm)],[f1233,f70]) ).
fof(f2804,plain,
( ~ sQ168_spl
| incident(s,a1a2) ),
inference(backward_demodulation,[status(thm)],[f1233,f65]) ).
fof(f2827,definition,
( sQ230_spl
<=> incident(s,b1b2) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2831,definition,
( sQ231_spl
<=> incident(s,a1a2) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2833,plain,
( sQ231_spl
| ~ incident(s,a1a2) ),
inference(component_clause,[status(thm)],[f2831]) ).
fof(f2857,definition,
( sQ235_spl
<=> incident(s,a3a1) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2859,plain,
( sQ235_spl
| ~ incident(s,a3a1) ),
inference(component_clause,[status(thm)],[f2857]) ).
fof(f2876,definition,
( sQ237_spl
<=> incident(s,b2b3) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2921,definition,
( sQ240_spl
<=> incident(s,b3b1) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2923,plain,
( sQ240_spl
| ~ incident(s,b3b1) ),
inference(component_clause,[status(thm)],[f2921]) ).
fof(f2984,plain,
( sQ210_spl
| ~ sQ180_spl
| s3 != s2 ),
inference(backward_demodulation,[status(thm)],[f1357,f2396]) ).
fof(f2985,plain,
( sQ210_spl
| ~ sQ180_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f2984,f1163,f1356,f2394]) ).
fof(f3052,plain,
( ~ sQ114_spl
| ~ sQ111_spl
| b3 = sK1_skl(b3b1,a3a1) ),
inference(forward_demodulation,[status(thm)],[f850,f864]) ).
fof(f3053,plain,
( ~ sQ114_spl
| ~ sQ111_spl
| ~ sQ198_spl
| b3 = sK1_skl(b3b1,s3) ),
inference(forward_demodulation,[status(thm)],[f2154,f3052]) ).
fof(f3055,plain,
( ~ sQ114_spl
| ~ sQ111_spl
| ~ sQ198_spl
| incident(b3,b3b1)
| ~ line(b3b1)
| ~ line(s3) ),
inference(paramodulation,[status(thm)],[f3053,f137]) ).
fof(f3058,plain,
( ~ sQ114_spl
| ~ sQ111_spl
| ~ sQ198_spl
| sQ41_spl
| ~ sQ108_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f3055,f2048,f837,f493,f2153,f849,f863]) ).
fof(f3108,plain,
! [X0,X1] :
( ~ point(b2)
| ~ point(X1)
| sK0_skl(b2,X1) = b1b2
| b2 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,sK0_skl(b2,X1)) ),
inference(resolution,[status(thm)],[f294,f133]) ).
fof(f3109,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(b2)
| sK0_skl(X1,b2) = b1b2
| b2 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,sK0_skl(X1,b2)) ),
inference(resolution,[status(thm)],[f294,f132]) ).
fof(f3115,definition,
! [X0,X1] :
( sQ242_spl
<=> ( ~ point(X1)
| sK0_skl(b2,X1) = b1b2
| b2 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,sK0_skl(b2,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f3118,plain,
( ~ sQ214_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f3108,f3115,f2409]) ).
fof(f3119,definition,
! [X0,X1] :
( sQ243_spl
<=> ( ~ point(X1)
| sK0_skl(X1,b2) = b1b2
| b2 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,sK0_skl(X1,b2)) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f3122,plain,
( ~ sQ214_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f3109,f3119,f2409]) ).
fof(f3123,plain,
( sQ235_spl
| ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2859,f2801]) ).
fof(f3124,plain,
( sQ235_spl
| ~ sQ168_spl ),
inference(contradiction_clause,[status(thm)],[f3123]) ).
fof(f3125,plain,
( sQ231_spl
| ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2833,f2804]) ).
fof(f3126,plain,
( sQ231_spl
| ~ sQ168_spl ),
inference(contradiction_clause,[status(thm)],[f3125]) ).
fof(f3127,plain,
( sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f537,f82]) ).
fof(f3128,plain,
sQ52_spl,
inference(contradiction_clause,[status(thm)],[f3127]) ).
fof(f3290,plain,
! [X0] :
( b1b2 = s1
| b1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,b1b2) ),
inference(resolution,[status(thm)],[f296,f71]) ).
fof(f3291,plain,
! [X0] :
( b3b1 = s1
| b1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,b3b1) ),
inference(resolution,[status(thm)],[f296,f76]) ).
fof(f3293,plain,
! [X0,X1] :
( ~ point(b1)
| ~ point(X1)
| sK0_skl(b1,X1) = s1
| b1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,sK0_skl(b1,X1)) ),
inference(resolution,[status(thm)],[f296,f133]) ).
fof(f3294,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(b1)
| sK0_skl(X1,b1) = s1
| b1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,sK0_skl(X1,b1)) ),
inference(resolution,[status(thm)],[f296,f132]) ).
fof(f3295,definition,
! [X0] :
( sQ244_spl
<=> ( b1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,b1b2) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f3296,plain,
! [X0] :
( ~ sQ244_spl
| b1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,b1b2) ),
inference(component_clause,[status(thm)],[f3295]) ).
fof(f3298,definition,
( sQ245_spl
<=> b1b2 = s1 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f3299,plain,
( ~ sQ245_spl
| b1b2 = s1 ),
inference(component_clause,[status(thm)],[f3298]) ).
fof(f3300,plain,
( sQ245_spl
| b1b2 != s1 ),
inference(component_clause,[status(thm)],[f3298]) ).
fof(f3301,plain,
( sQ245_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f3290,f3295,f3298]) ).
fof(f3302,definition,
! [X0] :
( sQ246_spl
<=> ( b1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,b3b1) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f3303,plain,
! [X0] :
( ~ sQ246_spl
| b1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,b3b1) ),
inference(component_clause,[status(thm)],[f3302]) ).
fof(f3305,definition,
( sQ247_spl
<=> b3b1 = s1 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f3306,plain,
( ~ sQ247_spl
| b3b1 = s1 ),
inference(component_clause,[status(thm)],[f3305]) ).
fof(f3308,plain,
( sQ247_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f3291,f3302,f3305]) ).
fof(f3310,definition,
! [X0,X1] :
( sQ248_spl
<=> ( ~ point(X1)
| sK0_skl(b1,X1) = s1
| b1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,sK0_skl(b1,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f3313,definition,
( sQ249_spl
<=> point(b1) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f3315,plain,
( sQ249_spl
| ~ point(b1) ),
inference(component_clause,[status(thm)],[f3313]) ).
fof(f3316,plain,
( ~ sQ249_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f3293,f3310,f3313]) ).
fof(f3317,definition,
! [X0,X1] :
( sQ250_spl
<=> ( ~ point(X1)
| sK0_skl(X1,b1) = s1
| b1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,sK0_skl(X1,b1)) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f3320,plain,
( ~ sQ249_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f3294,f3317,f3313]) ).
fof(f3321,plain,
( sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3315,f222]) ).
fof(f3322,plain,
sQ249_spl,
inference(contradiction_clause,[status(thm)],[f3321]) ).
fof(f3323,plain,
( ~ sQ3_spl
| ~ sQ247_spl
| incident(a2,s1) ),
inference(backward_demodulation,[status(thm)],[f3306,f150]) ).
fof(f3335,plain,
( ~ sQ4_spl
| ~ sQ245_spl
| incident(a3,s1) ),
inference(backward_demodulation,[status(thm)],[f3299,f153]) ).
fof(f3336,plain,
( ~ sQ245_spl
| incident(p3,s1) ),
inference(backward_demodulation,[status(thm)],[f3299,f87]) ).
fof(f3352,definition,
( sQ251_spl
<=> incident(a2,s1) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f3353,plain,
( ~ sQ251_spl
| incident(a2,s1) ),
inference(component_clause,[status(thm)],[f3352]) ).
fof(f3354,plain,
( sQ251_spl
| ~ incident(a2,s1) ),
inference(component_clause,[status(thm)],[f3352]) ).
fof(f3366,definition,
( sQ252_spl
<=> incident(a3,s1) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f3368,plain,
( sQ252_spl
| ~ incident(a3,s1) ),
inference(component_clause,[status(thm)],[f3366]) ).
fof(f3466,plain,
! [X0] :
( b1b2 = b3b1
| b1 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,b1b2) ),
inference(resolution,[status(thm)],[f298,f71]) ).
fof(f3469,plain,
! [X0,X1] :
( ~ point(b1)
| ~ point(X1)
| sK0_skl(b1,X1) = b3b1
| b1 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,sK0_skl(b1,X1)) ),
inference(resolution,[status(thm)],[f298,f133]) ).
fof(f3470,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(b1)
| sK0_skl(X1,b1) = b3b1
| b1 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,sK0_skl(X1,b1)) ),
inference(resolution,[status(thm)],[f298,f132]) ).
fof(f3471,definition,
! [X0] :
( sQ253_spl
<=> ( b1 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,b1b2) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f3472,plain,
! [X0] :
( ~ sQ253_spl
| b1 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,b1b2) ),
inference(component_clause,[status(thm)],[f3471]) ).
fof(f3474,definition,
( sQ254_spl
<=> b1b2 = b3b1 ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f3475,plain,
( ~ sQ254_spl
| b1b2 = b3b1 ),
inference(component_clause,[status(thm)],[f3474]) ).
fof(f3477,plain,
( sQ254_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f3466,f3471,f3474]) ).
fof(f3480,definition,
! [X0,X1] :
( sQ255_spl
<=> ( ~ point(X1)
| sK0_skl(b1,X1) = b3b1
| b1 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,sK0_skl(b1,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f3483,plain,
( ~ sQ249_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f3469,f3480,f3313]) ).
fof(f3484,definition,
! [X0,X1] :
( sQ256_spl
<=> ( ~ point(X1)
| sK0_skl(X1,b1) = b3b1
| b1 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,sK0_skl(X1,b1)) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f3487,plain,
( ~ sQ249_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f3470,f3484,f3313]) ).
fof(f3491,plain,
! [X0,X1] :
( ~ point(b1)
| ~ point(X1)
| sK0_skl(b1,X1) = b1b2
| b1 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,sK0_skl(b1,X1)) ),
inference(resolution,[status(thm)],[f300,f133]) ).
fof(f3492,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(b1)
| sK0_skl(X1,b1) = b1b2
| b1 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,sK0_skl(X1,b1)) ),
inference(resolution,[status(thm)],[f300,f132]) ).
fof(f3496,definition,
! [X0,X1] :
( sQ257_spl
<=> ( ~ point(X1)
| sK0_skl(b1,X1) = b1b2
| b1 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,sK0_skl(b1,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f3499,plain,
( ~ sQ249_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f3491,f3496,f3313]) ).
fof(f3500,definition,
! [X0,X1] :
( sQ258_spl
<=> ( ~ point(X1)
| sK0_skl(X1,b1) = b1b2
| b1 = X0
| ~ incident(X0,b1b2)
| ~ incident(X0,sK0_skl(X1,b1)) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f3503,plain,
( ~ sQ249_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f3492,f3500,f3313]) ).
fof(f3504,plain,
! [X0] :
( ~ sQ4_spl
| b1b2 = s3
| a3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,b1b2) ),
inference(resolution,[status(thm)],[f304,f153]) ).
fof(f3505,plain,
! [X0] :
( a3a1 = s3
| a3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,a3a1) ),
inference(resolution,[status(thm)],[f304,f69]) ).
fof(f3507,plain,
! [X0] :
( a2a3 = s3
| a3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,a2a3) ),
inference(resolution,[status(thm)],[f304,f68]) ).
fof(f3508,plain,
! [X0,X1] :
( ~ point(a3)
| ~ point(X1)
| sK0_skl(a3,X1) = s3
| a3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,sK0_skl(a3,X1)) ),
inference(resolution,[status(thm)],[f304,f133]) ).
fof(f3509,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(a3)
| sK0_skl(X1,a3) = s3
| a3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,sK0_skl(X1,a3)) ),
inference(resolution,[status(thm)],[f304,f132]) ).
fof(f3510,definition,
! [X0] :
( sQ259_spl
<=> ( a3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,b1b2) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f3511,plain,
! [X0] :
( ~ sQ259_spl
| a3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,b1b2) ),
inference(component_clause,[status(thm)],[f3510]) ).
fof(f3513,plain,
( ~ sQ4_spl
| sQ226_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f3504,f3510,f2649,f152]) ).
fof(f3514,definition,
! [X0] :
( sQ260_spl
<=> ( a3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,a3a1) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f3515,plain,
! [X0] :
( ~ sQ260_spl
| a3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,a3a1) ),
inference(component_clause,[status(thm)],[f3514]) ).
fof(f3517,plain,
( sQ198_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f3505,f3514,f2153]) ).
fof(f3519,definition,
! [X0] :
( sQ261_spl
<=> ( a3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,a2a3) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f3520,plain,
! [X0] :
( ~ sQ261_spl
| a3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,a2a3) ),
inference(component_clause,[status(thm)],[f3519]) ).
fof(f3522,plain,
( sQ189_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f3507,f3519,f1444]) ).
fof(f3523,definition,
! [X0,X1] :
( sQ262_spl
<=> ( ~ point(X1)
| sK0_skl(a3,X1) = s3
| a3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,sK0_skl(a3,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f3526,definition,
( sQ263_spl
<=> point(a3) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f3528,plain,
( sQ263_spl
| ~ point(a3) ),
inference(component_clause,[status(thm)],[f3526]) ).
fof(f3529,plain,
( ~ sQ263_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f3508,f3523,f3526]) ).
fof(f3530,definition,
! [X0,X1] :
( sQ264_spl
<=> ( ~ point(X1)
| sK0_skl(X1,a3) = s3
| a3 = X0
| ~ incident(X0,s3)
| ~ incident(X0,sK0_skl(X1,a3)) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f3533,plain,
( ~ sQ263_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f3509,f3530,f3526]) ).
fof(f3534,plain,
( sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3528,f228]) ).
fof(f3535,plain,
sQ263_spl,
inference(contradiction_clause,[status(thm)],[f3534]) ).
fof(f3538,plain,
( ~ sQ254_spl
| incident(b3,b1b2) ),
inference(backward_demodulation,[status(thm)],[f3475,f75]) ).
fof(f3539,plain,
( ~ sQ254_spl
| incident(p2,b1b2) ),
inference(backward_demodulation,[status(thm)],[f3475,f91]) ).
fof(f3545,plain,
( ~ sQ254_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f3538,f2164,f3474]) ).
fof(f3548,plain,
( sQ126_spl
| ~ sQ189_spl
| ~ incident(b3,s3) ),
inference(backward_demodulation,[status(thm)],[f1445,f957]) ).
fof(f3549,plain,
( ~ sQ189_spl
| incident(a2,s3) ),
inference(backward_demodulation,[status(thm)],[f1445,f67]) ).
fof(f3554,plain,
( sQ126_spl
| ~ sQ189_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3548,f486,f1444,f955]) ).
fof(f3555,plain,
( ~ sQ189_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f3549,f1288,f1444]) ).
fof(f3558,plain,
( sQ98_spl
| ~ sQ127_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f1404,f162,f958,f765]) ).
fof(f3563,plain,
( ~ sQ229_spl
| incident(b3,a3a1) ),
inference(backward_demodulation,[status(thm)],[f2794,f69]) ).
fof(f3568,plain,
( ~ sQ229_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3563,f846,f2793]) ).
fof(f3673,plain,
( ~ sQ229_spl
| incident(b3,a2a3) ),
inference(forward_demodulation,[status(thm)],[f2794,f68]) ).
fof(f3746,plain,
( sQ126_spl
| ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f957,f3673]) ).
fof(f3747,plain,
( sQ126_spl
| ~ sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f3746]) ).
fof(f3762,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ127_spl
| ~ incident(p2,X0)
| ~ incident(b3,X0)
| ~ incident(p3,X0) ),
inference(forward_demodulation,[status(thm)],[f959,f140]) ).
fof(f3763,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ127_spl
| ~ sQ111_spl
| ~ incident(b3,X0)
| ~ incident(b3,X0)
| ~ incident(p3,X0) ),
inference(forward_demodulation,[status(thm)],[f850,f3762]) ).
fof(f3764,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ127_spl
| ~ sQ111_spl
| ~ incident(b3,X0)
| ~ incident(p3,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3763]) ).
fof(f3767,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ127_spl
| ~ sQ111_spl
| ~ point(p3)
| ~ point(X0)
| ~ incident(b3,sK0_skl(p3,X0)) ),
inference(resolution,[status(thm)],[f3764,f133]) ).
fof(f3769,definition,
! [X0] :
( sQ265_spl
<=> ( ~ point(X0)
| ~ incident(b3,sK0_skl(p3,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f3770,plain,
! [X0] :
( ~ sQ265_spl
| ~ point(X0)
| ~ incident(b3,sK0_skl(p3,X0)) ),
inference(component_clause,[status(thm)],[f3769]) ).
fof(f3772,plain,
( ~ sQ0_spl
| ~ sQ127_spl
| ~ sQ111_spl
| ~ sQ101_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f3767,f3769,f775,f849,f958,f139]) ).
fof(f4019,plain,
! [X0] :
( a2a3 = a3a1
| a3 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,a2a3) ),
inference(resolution,[status(thm)],[f306,f68]) ).
fof(f4020,plain,
! [X0,X1] :
( ~ point(a3)
| ~ point(X1)
| sK0_skl(a3,X1) = a3a1
| a3 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,sK0_skl(a3,X1)) ),
inference(resolution,[status(thm)],[f306,f133]) ).
fof(f4021,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(a3)
| sK0_skl(X1,a3) = a3a1
| a3 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,sK0_skl(X1,a3)) ),
inference(resolution,[status(thm)],[f306,f132]) ).
fof(f4027,definition,
( sQ268_spl
<=> a1a2 = a3a1 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f4028,plain,
( ~ sQ268_spl
| a1a2 = a3a1 ),
inference(component_clause,[status(thm)],[f4027]) ).
fof(f4029,plain,
( sQ268_spl
| a1a2 != a3a1 ),
inference(component_clause,[status(thm)],[f4027]) ).
fof(f4031,definition,
! [X0] :
( sQ269_spl
<=> ( a3 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,a2a3) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f4032,plain,
! [X0] :
( ~ sQ269_spl
| a3 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,a2a3) ),
inference(component_clause,[status(thm)],[f4031]) ).
fof(f4034,definition,
( sQ270_spl
<=> a2a3 = a3a1 ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f4035,plain,
( ~ sQ270_spl
| a2a3 = a3a1 ),
inference(component_clause,[status(thm)],[f4034]) ).
fof(f4037,plain,
( sQ270_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f4019,f4031,f4034]) ).
fof(f4038,definition,
! [X0,X1] :
( sQ271_spl
<=> ( ~ point(X1)
| sK0_skl(a3,X1) = a3a1
| a3 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,sK0_skl(a3,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f4041,plain,
( ~ sQ263_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f4020,f4038,f3526]) ).
fof(f4042,definition,
! [X0,X1] :
( sQ272_spl
<=> ( ~ point(X1)
| sK0_skl(X1,a3) = a3a1
| a3 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,sK0_skl(X1,a3)) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f4045,plain,
( ~ sQ263_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f4021,f4042,f3526]) ).
fof(f4050,plain,
! [X0,X1] :
( ~ point(a3)
| ~ point(X1)
| sK0_skl(a3,X1) = a2a3
| a3 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,sK0_skl(a3,X1)) ),
inference(resolution,[status(thm)],[f308,f133]) ).
fof(f4051,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(a3)
| sK0_skl(X1,a3) = a2a3
| a3 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,sK0_skl(X1,a3)) ),
inference(resolution,[status(thm)],[f308,f132]) ).
fof(f4057,definition,
( sQ274_spl
<=> a1a2 = a2a3 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f4058,plain,
( ~ sQ274_spl
| a1a2 = a2a3 ),
inference(component_clause,[status(thm)],[f4057]) ).
fof(f4062,definition,
! [X0,X1] :
( sQ275_spl
<=> ( ~ point(X1)
| sK0_skl(a3,X1) = a2a3
| a3 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,sK0_skl(a3,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f4065,plain,
( ~ sQ263_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f4050,f4062,f3526]) ).
fof(f4066,definition,
! [X0,X1] :
( sQ276_spl
<=> ( ~ point(X1)
| sK0_skl(X1,a3) = a2a3
| a3 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,sK0_skl(X1,a3)) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f4069,plain,
( ~ sQ263_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f4051,f4066,f3526]) ).
fof(f4070,plain,
! [X0] :
( a2a3 = s2
| a2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,a2a3) ),
inference(resolution,[status(thm)],[f312,f67]) ).
fof(f4071,plain,
! [X0] :
( ~ sQ3_spl
| b3b1 = s2
| a2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,b3b1) ),
inference(resolution,[status(thm)],[f312,f150]) ).
fof(f4073,plain,
! [X0] :
( a1a2 = s2
| a2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,a1a2) ),
inference(resolution,[status(thm)],[f312,f66]) ).
fof(f4074,plain,
! [X0,X1] :
( ~ point(a2)
| ~ point(X1)
| sK0_skl(a2,X1) = s2
| a2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,sK0_skl(a2,X1)) ),
inference(resolution,[status(thm)],[f312,f133]) ).
fof(f4075,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(a2)
| sK0_skl(X1,a2) = s2
| a2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,sK0_skl(X1,a2)) ),
inference(resolution,[status(thm)],[f312,f132]) ).
fof(f4076,definition,
! [X0] :
( sQ277_spl
<=> ( a2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,a2a3) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f4077,plain,
! [X0] :
( ~ sQ277_spl
| a2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,a2a3) ),
inference(component_clause,[status(thm)],[f4076]) ).
fof(f4079,definition,
( sQ278_spl
<=> a2a3 = s2 ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f4080,plain,
( ~ sQ278_spl
| a2a3 = s2 ),
inference(component_clause,[status(thm)],[f4079]) ).
fof(f4082,plain,
( sQ278_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f4070,f4076,f4079]) ).
fof(f4083,definition,
! [X0] :
( sQ279_spl
<=> ( a2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,b3b1) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f4084,plain,
! [X0] :
( ~ sQ279_spl
| a2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,b3b1) ),
inference(component_clause,[status(thm)],[f4083]) ).
fof(f4086,plain,
( ~ sQ3_spl
| sQ222_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f4071,f4083,f2496,f149]) ).
fof(f4088,definition,
! [X0] :
( sQ280_spl
<=> ( a2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f4089,plain,
! [X0] :
( ~ sQ280_spl
| a2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,a1a2) ),
inference(component_clause,[status(thm)],[f4088]) ).
fof(f4091,definition,
( sQ281_spl
<=> a1a2 = s2 ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f4092,plain,
( ~ sQ281_spl
| a1a2 = s2 ),
inference(component_clause,[status(thm)],[f4091]) ).
fof(f4094,plain,
( sQ281_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f4073,f4088,f4091]) ).
fof(f4095,definition,
! [X0,X1] :
( sQ282_spl
<=> ( ~ point(X1)
| sK0_skl(a2,X1) = s2
| a2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,sK0_skl(a2,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f4098,definition,
( sQ283_spl
<=> point(a2) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f4100,plain,
( sQ283_spl
| ~ point(a2) ),
inference(component_clause,[status(thm)],[f4098]) ).
fof(f4101,plain,
( ~ sQ283_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f4074,f4095,f4098]) ).
fof(f4102,definition,
! [X0,X1] :
( sQ284_spl
<=> ( ~ point(X1)
| sK0_skl(X1,a2) = s2
| a2 = X0
| ~ incident(X0,s2)
| ~ incident(X0,sK0_skl(X1,a2)) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f4105,plain,
( ~ sQ283_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f4075,f4102,f4098]) ).
fof(f4106,plain,
( sQ283_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4100,f230]) ).
fof(f4107,plain,
sQ283_spl,
inference(contradiction_clause,[status(thm)],[f4106]) ).
fof(f4115,plain,
( sQ128_spl
| ~ sQ270_spl
| ~ incident(b2,a3a1) ),
inference(backward_demodulation,[status(thm)],[f4035,f964]) ).
fof(f4116,plain,
( ~ sQ270_spl
| incident(a2,a3a1) ),
inference(backward_demodulation,[status(thm)],[f4035,f67]) ).
fof(f4122,plain,
( sQ128_spl
| ~ sQ270_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4115,f159,f4034,f962]) ).
fof(f4123,plain,
( ~ sQ270_spl
| sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4116,f989]) ).
fof(f4124,plain,
( ~ sQ270_spl
| sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f4123]) ).
fof(f4128,plain,
( sQ110_spl
| ~ sQ268_spl
| ~ incident(b3,a1a2) ),
inference(backward_demodulation,[status(thm)],[f4028,f848]) ).
fof(f4129,plain,
( ~ sQ268_spl
| incident(a3,a1a2) ),
inference(backward_demodulation,[status(thm)],[f4028,f69]) ).
fof(f4131,plain,
( ~ sQ268_spl
| incident(p2,a1a2) ),
inference(backward_demodulation,[status(thm)],[f4028,f90]) ).
fof(f4135,plain,
( sQ112_spl
| ~ sQ268_spl
| ~ incident(b1,a1a2) ),
inference(backward_demodulation,[status(thm)],[f4028,f855]) ).
fof(f4138,plain,
( sQ110_spl
| ~ sQ268_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f4128,f162,f4027,f846]) ).
fof(f4145,plain,
( sQ14_spl
| ~ sQ281_spl
| s2 != b1b2 ),
inference(backward_demodulation,[status(thm)],[f4092,f195]) ).
fof(f4147,plain,
( ~ sQ281_spl
| incident(p3,s2) ),
inference(backward_demodulation,[status(thm)],[f4092,f86]) ).
fof(f4150,plain,
( ~ sQ278_spl
| incident(a3,s2) ),
inference(forward_demodulation,[status(thm)],[f4080,f68]) ).
fof(f4163,plain,
( sQ96_spl
| ~ sQ129_spl
| ~ incident(b2,b1b2) ),
inference(backward_demodulation,[status(thm)],[f966,f760]) ).
fof(f4168,plain,
( sQ96_spl
| ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4163,f72]) ).
fof(f4169,plain,
( sQ96_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f4168]) ).
fof(f4209,plain,
( ~ sQ187_spl
| incident(b3,a3a1) ),
inference(forward_demodulation,[status(thm)],[f1394,f70]) ).
fof(f4221,plain,
( ~ sQ187_spl
| incident(b3,s1) ),
inference(forward_demodulation,[status(thm)],[f1394,f80]) ).
fof(f4230,definition,
( sQ285_spl
<=> incident(b3,s1) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f4232,plain,
( sQ285_spl
| ~ incident(b3,s1) ),
inference(component_clause,[status(thm)],[f4230]) ).
fof(f4236,plain,
( sQ285_spl
| ~ sQ187_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4232,f4221]) ).
fof(f4237,plain,
( sQ285_spl
| ~ sQ187_spl ),
inference(contradiction_clause,[status(thm)],[f4236]) ).
fof(f4238,plain,
( ~ sQ187_spl
| incident(b3,a1a2) ),
inference(forward_demodulation,[status(thm)],[f1394,f65]) ).
fof(f4242,plain,
( ~ sQ187_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f4238,f162,f1393]) ).
fof(f4245,plain,
( ~ sQ148_spl
| incident(b2,a1a2) ),
inference(forward_demodulation,[status(thm)],[f1127,f86]) ).
fof(f4323,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ148_spl
| ~ incident(p2,X0)
| ~ incident(p1,X0)
| ~ incident(b2,X0) ),
inference(forward_demodulation,[status(thm)],[f1127,f140]) ).
fof(f4325,plain,
( ~ sQ0_spl
| ~ sQ148_spl
| ~ incident(p2,b2b3)
| ~ incident(b2,b2b3) ),
inference(resolution,[status(thm)],[f4323,f89]) ).
fof(f4326,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ148_spl
| ~ point(p1)
| ~ point(X0)
| ~ incident(p2,sK0_skl(p1,X0))
| ~ incident(b2,sK0_skl(p1,X0)) ),
inference(resolution,[status(thm)],[f4323,f133]) ).
fof(f4327,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ148_spl
| ~ point(X0)
| ~ point(p1)
| ~ incident(p2,sK0_skl(X0,p1))
| ~ incident(b2,sK0_skl(X0,p1)) ),
inference(resolution,[status(thm)],[f4323,f132]) ).
fof(f4328,plain,
( ~ sQ0_spl
| ~ sQ148_spl
| ~ incident(p1,a3a1)
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[f4323,f90]) ).
fof(f4330,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ148_spl
| ~ point(p2)
| ~ point(X0)
| ~ incident(p1,sK0_skl(p2,X0))
| ~ incident(b2,sK0_skl(p2,X0)) ),
inference(resolution,[status(thm)],[f4323,f133]) ).
fof(f4331,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ148_spl
| ~ point(X0)
| ~ point(p2)
| ~ incident(p1,sK0_skl(X0,p2))
| ~ incident(b2,sK0_skl(X0,p2)) ),
inference(resolution,[status(thm)],[f4323,f132]) ).
fof(f4332,definition,
( sQ286_spl
<=> incident(p2,a2a3) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f4334,plain,
( sQ286_spl
| ~ incident(p2,a2a3) ),
inference(component_clause,[status(thm)],[f4332]) ).
fof(f4336,definition,
( sQ287_spl
<=> incident(p2,b2b3) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f4339,plain,
( ~ sQ0_spl
| ~ sQ148_spl
| ~ sQ287_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f4325,f508,f4336,f1126,f139]) ).
fof(f4340,definition,
! [X0] :
( sQ288_spl
<=> ( ~ point(X0)
| ~ incident(p2,sK0_skl(p1,X0))
| ~ incident(b2,sK0_skl(p1,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f4343,plain,
( ~ sQ0_spl
| ~ sQ148_spl
| ~ sQ121_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f4326,f4340,f927,f1126,f139]) ).
fof(f4344,definition,
! [X0] :
( sQ289_spl
<=> ( ~ point(X0)
| ~ incident(p2,sK0_skl(X0,p1))
| ~ incident(b2,sK0_skl(X0,p1)) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f4347,plain,
( ~ sQ0_spl
| ~ sQ148_spl
| ~ sQ121_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f4327,f4344,f927,f1126,f139]) ).
fof(f4348,definition,
( sQ290_spl
<=> incident(p1,a3a1) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f4350,plain,
( sQ290_spl
| ~ incident(p1,a3a1) ),
inference(component_clause,[status(thm)],[f4348]) ).
fof(f4351,plain,
( ~ sQ0_spl
| ~ sQ148_spl
| ~ sQ290_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4328,f159,f4348,f1126,f139]) ).
fof(f4352,definition,
( sQ291_spl
<=> incident(b2,b3b1) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f4354,plain,
( sQ291_spl
| ~ incident(b2,b3b1) ),
inference(component_clause,[status(thm)],[f4352]) ).
fof(f4355,definition,
( sQ292_spl
<=> incident(p1,b3b1) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f4357,plain,
( sQ292_spl
| ~ incident(p1,b3b1) ),
inference(component_clause,[status(thm)],[f4355]) ).
fof(f4359,definition,
! [X0] :
( sQ293_spl
<=> ( ~ point(X0)
| ~ incident(p1,sK0_skl(p2,X0))
| ~ incident(b2,sK0_skl(p2,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f4362,plain,
( ~ sQ0_spl
| ~ sQ148_spl
| ~ sQ105_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f4330,f4359,f819,f1126,f139]) ).
fof(f4363,definition,
! [X0] :
( sQ294_spl
<=> ( ~ point(X0)
| ~ incident(p1,sK0_skl(X0,p2))
| ~ incident(b2,sK0_skl(X0,p2)) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f4366,plain,
( ~ sQ0_spl
| ~ sQ148_spl
| ~ sQ105_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f4331,f4363,f819,f1126,f139]) ).
fof(f4367,plain,
( sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f510,f73]) ).
fof(f4368,plain,
sQ45_spl,
inference(contradiction_clause,[status(thm)],[f4367]) ).
fof(f4458,plain,
! [X0] :
( a1a2 = a2a3
| a2 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,a1a2) ),
inference(resolution,[status(thm)],[f314,f66]) ).
fof(f4460,plain,
! [X0] :
( ~ sQ3_spl
| b3b1 = a2a3
| a2 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,b3b1) ),
inference(resolution,[status(thm)],[f314,f150]) ).
fof(f4462,plain,
! [X0,X1] :
( ~ point(a2)
| ~ point(X1)
| sK0_skl(a2,X1) = a2a3
| a2 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,sK0_skl(a2,X1)) ),
inference(resolution,[status(thm)],[f314,f133]) ).
fof(f4463,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(a2)
| sK0_skl(X1,a2) = a2a3
| a2 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,sK0_skl(X1,a2)) ),
inference(resolution,[status(thm)],[f314,f132]) ).
fof(f4464,definition,
! [X0] :
( sQ295_spl
<=> ( a2 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f4465,plain,
! [X0] :
( ~ sQ295_spl
| a2 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,a1a2) ),
inference(component_clause,[status(thm)],[f4464]) ).
fof(f4467,plain,
( sQ274_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f4458,f4464,f4057]) ).
fof(f4469,definition,
! [X0] :
( sQ296_spl
<=> ( a2 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,b3b1) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f4470,plain,
! [X0] :
( ~ sQ296_spl
| a2 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,b3b1) ),
inference(component_clause,[status(thm)],[f4469]) ).
fof(f4472,definition,
( sQ297_spl
<=> b3b1 = a2a3 ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f4473,plain,
( ~ sQ297_spl
| b3b1 = a2a3 ),
inference(component_clause,[status(thm)],[f4472]) ).
fof(f4475,plain,
( ~ sQ3_spl
| sQ297_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f4460,f4469,f4472,f149]) ).
fof(f4477,definition,
! [X0,X1] :
( sQ298_spl
<=> ( ~ point(X1)
| sK0_skl(a2,X1) = a2a3
| a2 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,sK0_skl(a2,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f4480,plain,
( ~ sQ283_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f4462,f4477,f4098]) ).
fof(f4481,definition,
! [X0,X1] :
( sQ299_spl
<=> ( ~ point(X1)
| sK0_skl(X1,a2) = a2a3
| a2 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,sK0_skl(X1,a2)) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f4484,plain,
( ~ sQ283_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f4463,f4481,f4098]) ).
fof(f4486,plain,
( sQ292_spl
| ~ sQ297_spl
| ~ incident(p1,a2a3) ),
inference(backward_demodulation,[status(thm)],[f4473,f4357]) ).
fof(f4490,plain,
( ~ sQ297_spl
| incident(b3,a2a3) ),
inference(backward_demodulation,[status(thm)],[f4473,f75]) ).
fof(f4492,plain,
( ~ sQ297_spl
| incident(b1,a2a3) ),
inference(backward_demodulation,[status(thm)],[f4473,f76]) ).
fof(f4495,plain,
( sQ292_spl
| ~ sQ297_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4486,f88]) ).
fof(f4496,plain,
( sQ292_spl
| ~ sQ297_spl ),
inference(contradiction_clause,[status(thm)],[f4495]) ).
fof(f4573,plain,
! [X0] :
( ~ sQ3_spl
| b3b1 = a1a2
| a2 = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,b3b1) ),
inference(resolution,[status(thm)],[f316,f150]) ).
fof(f4577,plain,
! [X0,X1] :
( ~ point(a2)
| ~ point(X1)
| sK0_skl(a2,X1) = a1a2
| a2 = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(a2,X1)) ),
inference(resolution,[status(thm)],[f316,f133]) ).
fof(f4578,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(a2)
| sK0_skl(X1,a2) = a1a2
| a2 = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(X1,a2)) ),
inference(resolution,[status(thm)],[f316,f132]) ).
fof(f4579,definition,
! [X0] :
( sQ300_spl
<=> ( a2 = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,b3b1) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f4580,plain,
! [X0] :
( ~ sQ300_spl
| a2 = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,b3b1) ),
inference(component_clause,[status(thm)],[f4579]) ).
fof(f4582,definition,
( sQ301_spl
<=> b3b1 = a1a2 ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f4583,plain,
( ~ sQ301_spl
| b3b1 = a1a2 ),
inference(component_clause,[status(thm)],[f4582]) ).
fof(f4584,plain,
( sQ301_spl
| b3b1 != a1a2 ),
inference(component_clause,[status(thm)],[f4582]) ).
fof(f4585,plain,
( ~ sQ3_spl
| sQ301_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f4573,f4579,f4582,f149]) ).
fof(f4589,definition,
! [X0,X1] :
( sQ302_spl
<=> ( ~ point(X1)
| sK0_skl(a2,X1) = a1a2
| a2 = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(a2,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f4592,plain,
( ~ sQ283_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f4577,f4589,f4098]) ).
fof(f4593,definition,
! [X0,X1] :
( sQ303_spl
<=> ( ~ point(X1)
| sK0_skl(X1,a2) = a1a2
| a2 = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(X1,a2)) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f4596,plain,
( ~ sQ283_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f4578,f4593,f4098]) ).
fof(f4597,plain,
! [X0] :
( a3a1 = s1
| a1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,a3a1) ),
inference(resolution,[status(thm)],[f318,f70]) ).
fof(f4599,plain,
! [X0] :
( a1a2 = s1
| a1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,a1a2) ),
inference(resolution,[status(thm)],[f318,f65]) ).
fof(f4601,plain,
! [X0,X1] :
( ~ point(a1)
| ~ point(X1)
| sK0_skl(a1,X1) = s1
| a1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,sK0_skl(a1,X1)) ),
inference(resolution,[status(thm)],[f318,f133]) ).
fof(f4602,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(a1)
| sK0_skl(X1,a1) = s1
| a1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,sK0_skl(X1,a1)) ),
inference(resolution,[status(thm)],[f318,f132]) ).
fof(f4603,definition,
! [X0] :
( sQ304_spl
<=> ( a1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,a3a1) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f4604,plain,
! [X0] :
( ~ sQ304_spl
| a1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,a3a1) ),
inference(component_clause,[status(thm)],[f4603]) ).
fof(f4606,definition,
( sQ305_spl
<=> a3a1 = s1 ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f4607,plain,
( ~ sQ305_spl
| a3a1 = s1 ),
inference(component_clause,[status(thm)],[f4606]) ).
fof(f4609,plain,
( sQ305_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f4597,f4603,f4606]) ).
fof(f4611,definition,
! [X0] :
( sQ306_spl
<=> ( a1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f4612,plain,
! [X0] :
( ~ sQ306_spl
| a1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,a1a2) ),
inference(component_clause,[status(thm)],[f4611]) ).
fof(f4614,definition,
( sQ307_spl
<=> a1a2 = s1 ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f4615,plain,
( ~ sQ307_spl
| a1a2 = s1 ),
inference(component_clause,[status(thm)],[f4614]) ).
fof(f4617,plain,
( sQ307_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f4599,f4611,f4614]) ).
fof(f4621,definition,
( sQ309_spl
<=> b2b3 = s1 ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f4622,plain,
( ~ sQ309_spl
| b2b3 = s1 ),
inference(component_clause,[status(thm)],[f4621]) ).
fof(f4625,definition,
! [X0,X1] :
( sQ310_spl
<=> ( ~ point(X1)
| sK0_skl(a1,X1) = s1
| a1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,sK0_skl(a1,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f4628,definition,
( sQ311_spl
<=> point(a1) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f4630,plain,
( sQ311_spl
| ~ point(a1) ),
inference(component_clause,[status(thm)],[f4628]) ).
fof(f4631,plain,
( ~ sQ311_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f4601,f4625,f4628]) ).
fof(f4632,definition,
! [X0,X1] :
( sQ312_spl
<=> ( ~ point(X1)
| sK0_skl(X1,a1) = s1
| a1 = X0
| ~ incident(X0,s1)
| ~ incident(X0,sK0_skl(X1,a1)) ) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f4635,plain,
( ~ sQ311_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f4602,f4632,f4628]) ).
fof(f4636,plain,
( sQ311_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4630,f233]) ).
fof(f4637,plain,
sQ311_spl,
inference(contradiction_clause,[status(thm)],[f4636]) ).
fof(f4640,plain,
! [X0] :
( a1a2 = a3a1
| a1 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,a1a2) ),
inference(resolution,[status(thm)],[f320,f65]) ).
fof(f4641,plain,
! [X0] :
( ~ sQ2_spl
| b2b3 = a3a1
| a1 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,b2b3) ),
inference(resolution,[status(thm)],[f320,f147]) ).
fof(f4642,plain,
! [X0,X1] :
( ~ point(a1)
| ~ point(X1)
| sK0_skl(a1,X1) = a3a1
| a1 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,sK0_skl(a1,X1)) ),
inference(resolution,[status(thm)],[f320,f133]) ).
fof(f4643,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(a1)
| sK0_skl(X1,a1) = a3a1
| a1 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,sK0_skl(X1,a1)) ),
inference(resolution,[status(thm)],[f320,f132]) ).
fof(f4646,definition,
! [X0] :
( sQ313_spl
<=> ( a1 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f4647,plain,
! [X0] :
( ~ sQ313_spl
| a1 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,a1a2) ),
inference(component_clause,[status(thm)],[f4646]) ).
fof(f4649,plain,
( sQ268_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f4640,f4646,f4027]) ).
fof(f4650,definition,
! [X0] :
( sQ314_spl
<=> ( a1 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,b2b3) ) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f4651,plain,
! [X0] :
( ~ sQ314_spl
| a1 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,b2b3) ),
inference(component_clause,[status(thm)],[f4650]) ).
fof(f4653,definition,
( sQ315_spl
<=> b2b3 = a3a1 ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f4654,plain,
( ~ sQ315_spl
| b2b3 = a3a1 ),
inference(component_clause,[status(thm)],[f4653]) ).
fof(f4656,plain,
( ~ sQ2_spl
| sQ315_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f4641,f4650,f4653,f146]) ).
fof(f4657,definition,
! [X0,X1] :
( sQ316_spl
<=> ( ~ point(X1)
| sK0_skl(a1,X1) = a3a1
| a1 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,sK0_skl(a1,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f4660,plain,
( ~ sQ311_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f4642,f4657,f4628]) ).
fof(f4661,definition,
! [X0,X1] :
( sQ317_spl
<=> ( ~ point(X1)
| sK0_skl(X1,a1) = a3a1
| a1 = X0
| ~ incident(X0,a3a1)
| ~ incident(X0,sK0_skl(X1,a1)) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f4664,plain,
( ~ sQ311_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f4643,f4661,f4628]) ).
fof(f4667,plain,
( ~ sQ301_spl
| incident(b1,a1a2) ),
inference(backward_demodulation,[status(thm)],[f4583,f76]) ).
fof(f4670,plain,
( ~ sQ301_spl
| incident(p2,a1a2) ),
inference(backward_demodulation,[status(thm)],[f4583,f91]) ).
fof(f4677,plain,
( ~ sQ301_spl
| sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4667,f1132]) ).
fof(f4678,plain,
( ~ sQ301_spl
| sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f4677]) ).
fof(f4686,plain,
( ~ sQ309_spl
| incident(b3,s1) ),
inference(backward_demodulation,[status(thm)],[f4622,f74]) ).
fof(f4693,plain,
( ~ sQ307_spl
| incident(a2,s1) ),
inference(backward_demodulation,[status(thm)],[f4615,f66]) ).
fof(f4700,plain,
( ~ sQ307_spl
| sQ251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4693,f3354]) ).
fof(f4701,plain,
( ~ sQ307_spl
| sQ251_spl ),
inference(contradiction_clause,[status(thm)],[f4700]) ).
fof(f4705,plain,
( sQ112_spl
| ~ sQ305_spl
| ~ incident(b1,s1) ),
inference(backward_demodulation,[status(thm)],[f4607,f855]) ).
fof(f4714,plain,
( sQ112_spl
| ~ sQ305_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4705,f83]) ).
fof(f4715,plain,
( sQ112_spl
| ~ sQ305_spl ),
inference(contradiction_clause,[status(thm)],[f4714]) ).
fof(f4724,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ148_spl
| ~ incident(p2,X0)
| ~ incident(p1,X0)
| ~ incident(b2,X0) ),
inference(backward_demodulation,[status(thm)],[f1127,f140]) ).
fof(f4727,plain,
( ~ sQ150_spl
| ~ sQ148_spl
| b2 = b1 ),
inference(forward_demodulation,[status(thm)],[f1127,f1134]) ).
fof(f4728,plain,
( ~ sQ150_spl
| ~ sQ148_spl
| sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4727,f183]) ).
fof(f4729,plain,
( ~ sQ150_spl
| ~ sQ148_spl
| sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f4728]) ).
fof(f4799,definition,
( sQ320_spl
<=> incident(b2,s1) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f4814,plain,
( sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f72]) ).
fof(f4815,plain,
sQ46_spl,
inference(contradiction_clause,[status(thm)],[f4814]) ).
fof(f4880,plain,
! [X0] :
( ~ sQ251_spl
| s1 = a2a3
| a2 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,s1) ),
inference(resolution,[status(thm)],[f3353,f314]) ).
fof(f4890,definition,
! [X0] :
( sQ324_spl
<=> ( a2 = X0
| ~ incident(X0,a2a3)
| ~ incident(X0,s1) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f4893,definition,
( sQ325_spl
<=> s1 = a2a3 ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f4894,plain,
( ~ sQ325_spl
| s1 = a2a3 ),
inference(component_clause,[status(thm)],[f4893]) ).
fof(f4896,plain,
( ~ sQ251_spl
| sQ325_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f4880,f4890,f4893,f3352]) ).
fof(f4900,definition,
( sQ327_spl
<=> s1 = s2 ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f4901,plain,
( ~ sQ327_spl
| s1 = s2 ),
inference(component_clause,[status(thm)],[f4900]) ).
fof(f4910,plain,
( sQ252_spl
| ~ sQ327_spl
| ~ incident(a3,s2) ),
inference(backward_demodulation,[status(thm)],[f4901,f3368]) ).
fof(f4913,plain,
( ~ sQ327_spl
| incident(b1,s2) ),
inference(backward_demodulation,[status(thm)],[f4901,f83]) ).
fof(f5092,plain,
! [X0,X1] :
( ~ sQ168_spl
| X0 = a1a2
| a1 = X1
| ~ incident(X1,a1a2)
| ~ incident(X1,X0)
| ~ incident(s,X0) ),
inference(forward_demodulation,[status(thm)],[f1233,f322]) ).
fof(f5093,plain,
! [X0,X1] :
( ~ sQ168_spl
| X0 = a1a2
| s = X1
| ~ incident(X1,a1a2)
| ~ incident(X1,X0)
| ~ incident(s,X0) ),
inference(forward_demodulation,[status(thm)],[f1233,f5092]) ).
fof(f5094,plain,
! [X0] :
( ~ sQ168_spl
| s1 = a1a2
| s = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,s1) ),
inference(resolution,[status(thm)],[f5093,f77]) ).
fof(f5099,plain,
! [X0,X1] :
( ~ sQ168_spl
| ~ point(s)
| ~ point(X1)
| sK0_skl(s,X1) = a1a2
| s = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(s,X1)) ),
inference(resolution,[status(thm)],[f5093,f133]) ).
fof(f5100,plain,
! [X0,X1] :
( ~ sQ168_spl
| ~ point(X1)
| ~ point(s)
| sK0_skl(X1,s) = a1a2
| s = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(X1,s)) ),
inference(resolution,[status(thm)],[f5093,f132]) ).
fof(f5101,definition,
! [X0] :
( sQ328_spl
<=> ( s = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,s1) ) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f5104,plain,
( ~ sQ168_spl
| sQ307_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f5094,f5101,f4614,f1232]) ).
fof(f5109,definition,
! [X0] :
( sQ330_spl
<=> ( s = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f5110,plain,
! [X0] :
( ~ sQ330_spl
| s = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,a1a2) ),
inference(component_clause,[status(thm)],[f5109]) ).
fof(f5118,definition,
! [X0,X1] :
( sQ332_spl
<=> ( ~ point(X1)
| sK0_skl(s,X1) = a1a2
| s = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(s,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f5121,plain,
( ~ sQ168_spl
| ~ sQ160_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f5099,f5118,f1177,f1232]) ).
fof(f5122,definition,
! [X0,X1] :
( sQ333_spl
<=> ( ~ point(X1)
| sK0_skl(X1,s) = a1a2
| s = X0
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(X1,s)) ) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f5125,plain,
( ~ sQ168_spl
| ~ sQ160_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f5100,f5122,f1177,f1232]) ).
fof(f5126,plain,
! [X0] :
( ~ sQ330_spl
| s = X0
| ~ incident(X0,a1a2) ),
inference(duplicate_literals_removal,[status(thm)],[f5110]) ).
fof(f5182,plain,
( ~ sQ176_spl
| ~ sQ148_spl
| b2 = sK1_skl(a1a2,b1b2) ),
inference(forward_demodulation,[status(thm)],[f1127,f1329]) ).
fof(f5184,plain,
( ~ sQ176_spl
| ~ sQ148_spl
| incident(b2,a1a2)
| ~ line(a1a2)
| ~ line(b1b2) ),
inference(paramodulation,[status(thm)],[f5182,f137]) ).
fof(f5187,plain,
( ~ sQ176_spl
| ~ sQ148_spl
| sQ147_spl
| ~ sQ154_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f5184,f1114,f1150,f1123,f1126,f1328]) ).
fof(f5368,plain,
( ~ sQ330_spl
| s = a1 ),
inference(resolution,[status(thm)],[f5126,f65]) ).
fof(f5372,plain,
( ~ sQ330_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f5368,f1232,f5109]) ).
fof(f5494,definition,
( sQ340_spl
<=> incident(s,a2a3) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f5496,plain,
( sQ340_spl
| ~ incident(s,a2a3) ),
inference(component_clause,[status(thm)],[f5494]) ).
fof(f5588,plain,
( ~ sQ265_spl
| ~ point(p3)
| ~ point(b3)
| ~ point(b3) ),
inference(resolution,[status(thm)],[f3770,f132]) ).
fof(f5589,plain,
( ~ sQ265_spl
| ~ sQ101_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f5588,f1363,f775,f3769]) ).
fof(f5598,plain,
( ~ sQ168_spl
| incident(s,a3a1) ),
inference(backward_demodulation,[status(thm)],[f1233,f70]) ).
fof(f5702,plain,
( sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f66]) ).
fof(f5703,plain,
sQ58_spl,
inference(contradiction_clause,[status(thm)],[f5702]) ).
fof(f5704,plain,
( sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f557,f67]) ).
fof(f5705,plain,
sQ57_spl,
inference(contradiction_clause,[status(thm)],[f5704]) ).
fof(f5706,plain,
( sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f545,f68]) ).
fof(f5707,plain,
sQ54_spl,
inference(contradiction_clause,[status(thm)],[f5706]) ).
fof(f5708,plain,
( sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f541,f69]) ).
fof(f5709,plain,
sQ53_spl,
inference(contradiction_clause,[status(thm)],[f5708]) ).
fof(f5710,plain,
( sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f529,f71]) ).
fof(f5711,plain,
sQ50_spl,
inference(contradiction_clause,[status(thm)],[f5710]) ).
fof(f5712,plain,
( sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f525,f76]) ).
fof(f5713,plain,
sQ49_spl,
inference(contradiction_clause,[status(thm)],[f5712]) ).
fof(f5714,plain,
( sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f518,f83]) ).
fof(f5715,plain,
sQ47_spl,
inference(contradiction_clause,[status(thm)],[f5714]) ).
fof(f5716,plain,
( sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f77]) ).
fof(f5717,plain,
sQ37_spl,
inference(contradiction_clause,[status(thm)],[f5716]) ).
fof(f5718,plain,
( ~ sQ187_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f4209,f846,f1393]) ).
fof(f5720,plain,
( sQ251_spl
| ~ sQ175_spl
| ~ incident(s,s1) ),
inference(backward_demodulation,[status(thm)],[f1292,f3354]) ).
fof(f5725,plain,
( sQ251_spl
| ~ sQ175_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f5720,f479,f1291,f3352]) ).
fof(f5802,plain,
( sQ240_spl
| ~ sQ178_spl
| ~ incident(s,s3) ),
inference(forward_demodulation,[status(thm)],[f1350,f2923]) ).
fof(f5803,plain,
( sQ240_spl
| ~ sQ178_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5802,f79]) ).
fof(f5804,plain,
( sQ240_spl
| ~ sQ178_spl ),
inference(contradiction_clause,[status(thm)],[f5803]) ).
fof(f5866,plain,
( ~ sQ3_spl
| ~ sQ175_spl
| incident(s,b3b1) ),
inference(forward_demodulation,[status(thm)],[f1292,f150]) ).
fof(f5972,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ178_spl
| p2 = X0
| ~ incident(X0,s3)
| ~ incident(X0,a3a1) ),
inference(forward_demodulation,[status(thm)],[f1350,f813]) ).
fof(f5973,plain,
( ~ sQ103_spl
| ~ sQ178_spl
| p2 = a1
| ~ incident(a1,s3) ),
inference(resolution,[status(thm)],[f5972,f70]) ).
fof(f5975,plain,
( ~ sQ103_spl
| ~ sQ178_spl
| p2 = a3
| ~ incident(a3,s3) ),
inference(resolution,[status(thm)],[f5972,f69]) ).
fof(f5979,definition,
( sQ350_spl
<=> p2 = a1 ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f5980,plain,
( ~ sQ350_spl
| p2 = a1 ),
inference(component_clause,[status(thm)],[f5979]) ).
fof(f5982,plain,
( ~ sQ103_spl
| ~ sQ178_spl
| sQ350_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f5973,f1229,f5979,f1349,f812]) ).
fof(f5984,definition,
( sQ351_spl
<=> p2 = a3 ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f5985,plain,
( ~ sQ351_spl
| p2 = a3 ),
inference(component_clause,[status(thm)],[f5984]) ).
fof(f5987,plain,
( ~ sQ103_spl
| ~ sQ178_spl
| sQ351_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f5975,f535,f5984,f1349,f812]) ).
fof(f6004,plain,
( sQ286_spl
| ~ sQ351_spl
| ~ incident(a3,a2a3) ),
inference(backward_demodulation,[status(thm)],[f5985,f4334]) ).
fof(f6012,plain,
( sQ286_spl
| ~ sQ351_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f6004,f543,f5984,f4332]) ).
fof(f6037,plain,
( ~ sQ350_spl
| ~ sQ351_spl
| a3 = a1 ),
inference(forward_demodulation,[status(thm)],[f5985,f5980]) ).
fof(f6038,plain,
( ~ sQ350_spl
| ~ sQ351_spl
| sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6037,f179]) ).
fof(f6039,plain,
( ~ sQ350_spl
| ~ sQ351_spl
| sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f6038]) ).
fof(f6329,plain,
! [X0] :
( ~ sQ202_spl
| ~ line(b2b3)
| ~ line(X0)
| b3 = sK1_skl(b2b3,X0)
| ~ incident(sK1_skl(b2b3,X0),b3b1) ),
inference(resolution,[status(thm)],[f2255,f137]) ).
fof(f6330,plain,
! [X0] :
( ~ sQ202_spl
| ~ line(X0)
| ~ line(b2b3)
| b3 = sK1_skl(X0,b2b3)
| ~ incident(sK1_skl(X0,b2b3),b3b1) ),
inference(resolution,[status(thm)],[f2255,f136]) ).
fof(f6334,definition,
! [X0] :
( sQ357_spl
<=> ( ~ line(X0)
| b3 = sK1_skl(b2b3,X0)
| ~ incident(sK1_skl(b2b3,X0),b3b1) ) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f6337,plain,
( ~ sQ202_spl
| ~ sQ124_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f6329,f6334,f946,f2254]) ).
fof(f6338,definition,
! [X0] :
( sQ358_spl
<=> ( ~ line(X0)
| b3 = sK1_skl(X0,b2b3)
| ~ incident(sK1_skl(X0,b2b3),b3b1) ) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f6341,plain,
( ~ sQ202_spl
| ~ sQ124_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f6330,f6338,f946,f2254]) ).
fof(f6343,plain,
( ~ sQ203_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f2272,f4355,f2257]) ).
fof(f6344,plain,
( ~ sQ211_spl
| b2 = b1
| ~ incident(b1,s2) ),
inference(resolution,[status(thm)],[f2400,f71]) ).
fof(f6345,plain,
( ~ sQ211_spl
| b2 = p3
| ~ incident(p3,s2) ),
inference(resolution,[status(thm)],[f2400,f87]) ).
fof(f6346,plain,
! [X0] :
( ~ sQ211_spl
| ~ line(b1b2)
| ~ line(X0)
| b2 = sK1_skl(b1b2,X0)
| ~ incident(sK1_skl(b1b2,X0),s2) ),
inference(resolution,[status(thm)],[f2400,f137]) ).
fof(f6347,plain,
! [X0] :
( ~ sQ211_spl
| ~ line(X0)
| ~ line(b1b2)
| b2 = sK1_skl(X0,b1b2)
| ~ incident(sK1_skl(X0,b1b2),s2) ),
inference(resolution,[status(thm)],[f2400,f136]) ).
fof(f6348,plain,
( ~ sQ211_spl
| b2 = b2
| ~ incident(b2,s2) ),
inference(resolution,[status(thm)],[f2400,f72]) ).
fof(f6349,definition,
( sQ359_spl
<=> incident(b1,s2) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f6351,plain,
( sQ359_spl
| ~ incident(b1,s2) ),
inference(component_clause,[status(thm)],[f6349]) ).
fof(f6352,plain,
( ~ sQ211_spl
| sQ11_spl
| ~ sQ359_spl ),
inference(split_clause,[status(thm)],[f6344,f6349,f181,f2399]) ).
fof(f6353,definition,
( sQ360_spl
<=> incident(p3,s2) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f6356,plain,
( ~ sQ211_spl
| sQ148_spl
| ~ sQ360_spl ),
inference(split_clause,[status(thm)],[f6345,f6353,f1126,f2399]) ).
fof(f6357,definition,
! [X0] :
( sQ361_spl
<=> ( ~ line(X0)
| b2 = sK1_skl(b1b2,X0)
| ~ incident(sK1_skl(b1b2,X0),s2) ) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f6360,plain,
( ~ sQ211_spl
| ~ sQ145_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f6346,f6357,f1114,f2399]) ).
fof(f6361,definition,
! [X0] :
( sQ362_spl
<=> ( ~ line(X0)
| b2 = sK1_skl(X0,b1b2)
| ~ incident(sK1_skl(X0,b1b2),s2) ) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f6364,plain,
( ~ sQ211_spl
| ~ sQ145_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f6347,f6361,f1114,f2399]) ).
fof(f6365,plain,
( ~ sQ211_spl
| sQ44_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f6348,f501,f504,f2399]) ).
fof(f6366,plain,
( sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f84]) ).
fof(f6367,plain,
sQ43_spl,
inference(contradiction_clause,[status(thm)],[f6366]) ).
fof(f6395,definition,
( sQ363_spl
<=> incident(p1,s2) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f6396,plain,
( ~ sQ363_spl
| incident(p1,s2) ),
inference(component_clause,[status(thm)],[f6395]) ).
fof(f6398,definition,
( sQ364_spl
<=> incident(p2,s2) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f6411,plain,
( sQ14_spl
| ~ sQ281_spl
| ~ sQ212_spl
| s2 != s2 ),
inference(forward_demodulation,[status(thm)],[f2403,f4145]) ).
fof(f6412,plain,
( sQ14_spl
| ~ sQ281_spl
| ~ sQ212_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6411]) ).
fof(f6413,plain,
( sQ14_spl
| ~ sQ281_spl
| ~ sQ212_spl ),
inference(contradiction_clause,[status(thm)],[f6412]) ).
fof(f6427,plain,
( sQ359_spl
| ~ sQ212_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6351,f2450]) ).
fof(f6428,plain,
( sQ359_spl
| ~ sQ212_spl ),
inference(contradiction_clause,[status(thm)],[f6427]) ).
fof(f6431,plain,
! [X0] :
( s2 = s1
| X0 = s
| ~ incident(X0,s1)
| ~ incident(X0,s2) ),
inference(resolution,[status(thm)],[f338,f77]) ).
fof(f6434,plain,
! [X0,X1] :
( ~ point(s)
| ~ point(X1)
| s2 = sK0_skl(s,X1)
| X0 = s
| ~ incident(X0,sK0_skl(s,X1))
| ~ incident(X0,s2) ),
inference(resolution,[status(thm)],[f338,f133]) ).
fof(f6435,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(s)
| s2 = sK0_skl(X1,s)
| X0 = s
| ~ incident(X0,sK0_skl(X1,s))
| ~ incident(X0,s2) ),
inference(resolution,[status(thm)],[f338,f132]) ).
fof(f6439,definition,
( sQ367_spl
<=> s2 = a3a1 ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f6440,plain,
( ~ sQ367_spl
| s2 = a3a1 ),
inference(component_clause,[status(thm)],[f6439]) ).
fof(f6444,definition,
! [X0] :
( sQ368_spl
<=> ( X0 = s
| ~ incident(X0,s1)
| ~ incident(X0,s2) ) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f6445,plain,
! [X0] :
( ~ sQ368_spl
| X0 = s
| ~ incident(X0,s1)
| ~ incident(X0,s2) ),
inference(component_clause,[status(thm)],[f6444]) ).
fof(f6447,plain,
( sQ327_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f6431,f6444,f4900]) ).
fof(f6450,definition,
! [X0,X1] :
( sQ369_spl
<=> ( ~ point(X1)
| s2 = sK0_skl(s,X1)
| X0 = s
| ~ incident(X0,sK0_skl(s,X1))
| ~ incident(X0,s2) ) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f6453,plain,
( ~ sQ160_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f6434,f6450,f1177]) ).
fof(f6454,definition,
! [X0,X1] :
( sQ370_spl
<=> ( ~ point(X1)
| s2 = sK0_skl(X1,s)
| X0 = s
| ~ incident(X0,sK0_skl(X1,s))
| ~ incident(X0,s2) ) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f6457,plain,
( ~ sQ160_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f6435,f6454,f1177]) ).
fof(f6592,plain,
! [X0,X1] :
( ~ point(s)
| ~ point(X1)
| s1 = sK0_skl(s,X1)
| X0 = s
| ~ incident(X0,sK0_skl(s,X1))
| ~ incident(X0,s1) ),
inference(resolution,[status(thm)],[f340,f133]) ).
fof(f6593,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(s)
| s1 = sK0_skl(X1,s)
| X0 = s
| ~ incident(X0,sK0_skl(X1,s))
| ~ incident(X0,s1) ),
inference(resolution,[status(thm)],[f340,f132]) ).
fof(f6597,definition,
! [X0,X1] :
( sQ371_spl
<=> ( ~ point(X1)
| s1 = sK0_skl(s,X1)
| X0 = s
| ~ incident(X0,sK0_skl(s,X1))
| ~ incident(X0,s1) ) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f6600,plain,
( ~ sQ160_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f6592,f6597,f1177]) ).
fof(f6601,definition,
! [X0,X1] :
( sQ372_spl
<=> ( ~ point(X1)
| s1 = sK0_skl(X1,s)
| X0 = s
| ~ incident(X0,sK0_skl(X1,s))
| ~ incident(X0,s1) ) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f6604,plain,
( ~ sQ160_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f6593,f6601,f1177]) ).
fof(f6613,plain,
( ~ sQ2_spl
| ~ sQ216_spl
| b2 = a1
| ~ incident(a1,b1b2) ),
inference(resolution,[status(thm)],[f2427,f147]) ).
fof(f6614,plain,
( ~ sQ216_spl
| b2 = p1
| ~ incident(p1,b1b2) ),
inference(resolution,[status(thm)],[f2427,f89]) ).
fof(f6615,plain,
( ~ sQ216_spl
| b2 = b3
| ~ incident(b3,b1b2) ),
inference(resolution,[status(thm)],[f2427,f74]) ).
fof(f6616,plain,
! [X0] :
( ~ sQ216_spl
| ~ line(b2b3)
| ~ line(X0)
| b2 = sK1_skl(b2b3,X0)
| ~ incident(sK1_skl(b2b3,X0),b1b2) ),
inference(resolution,[status(thm)],[f2427,f137]) ).
fof(f6617,plain,
! [X0] :
( ~ sQ216_spl
| ~ line(X0)
| ~ line(b2b3)
| b2 = sK1_skl(X0,b2b3)
| ~ incident(sK1_skl(X0,b2b3),b1b2) ),
inference(resolution,[status(thm)],[f2427,f136]) ).
fof(f6618,plain,
( ~ sQ216_spl
| b2 = b2
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[f2427,f73]) ).
fof(f6619,definition,
( sQ373_spl
<=> incident(a1,b1b2) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f6622,definition,
( sQ374_spl
<=> b2 = a1 ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f6623,plain,
( ~ sQ374_spl
| b2 = a1 ),
inference(component_clause,[status(thm)],[f6622]) ).
fof(f6624,plain,
( sQ374_spl
| b2 != a1 ),
inference(component_clause,[status(thm)],[f6622]) ).
fof(f6625,plain,
( ~ sQ2_spl
| ~ sQ216_spl
| sQ374_spl
| ~ sQ373_spl ),
inference(split_clause,[status(thm)],[f6613,f6619,f6622,f2426,f146]) ).
fof(f6626,plain,
( ~ sQ216_spl
| sQ129_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f6614,f758,f965,f2426]) ).
fof(f6627,plain,
( ~ sQ216_spl
| sQ12_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f6615,f2164,f185,f2426]) ).
fof(f6628,definition,
! [X0] :
( sQ375_spl
<=> ( ~ line(X0)
| b2 = sK1_skl(b2b3,X0)
| ~ incident(sK1_skl(b2b3,X0),b1b2) ) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f6631,plain,
( ~ sQ216_spl
| ~ sQ124_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f6616,f6628,f946,f2426]) ).
fof(f6632,definition,
! [X0] :
( sQ376_spl
<=> ( ~ line(X0)
| b2 = sK1_skl(X0,b2b3)
| ~ incident(sK1_skl(X0,b2b3),b1b2) ) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f6635,plain,
( ~ sQ216_spl
| ~ sQ124_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f6617,f6632,f946,f2426]) ).
fof(f6636,plain,
( ~ sQ216_spl
| sQ44_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f6618,f512,f504,f2426]) ).
fof(f6740,plain,
! [X0] :
( ~ sQ168_spl
| s1 = a3a1
| X0 = s
| ~ incident(X0,a3a1)
| ~ incident(X0,s1) ),
inference(resolution,[status(thm)],[f5598,f340]) ).
fof(f6751,definition,
! [X0] :
( sQ377_spl
<=> ( X0 = s
| ~ incident(X0,a3a1)
| ~ incident(X0,s1) ) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f6754,plain,
( ~ sQ168_spl
| sQ305_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f6740,f6751,f4606,f1232]) ).
fof(f6794,plain,
( ~ sQ5_spl
| ~ sQ270_spl
| incident(b1,a3a1) ),
inference(backward_demodulation,[status(thm)],[f4035,f157]) ).
fof(f6806,plain,
( ~ sQ5_spl
| ~ sQ270_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f6794,f853,f4034,f156]) ).
fof(f6809,plain,
( ~ sQ203_spl
| incident(p1,b3b1) ),
inference(backward_demodulation,[status(thm)],[f2258,f89]) ).
fof(f7003,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ203_spl
| p1 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,a2a3) ),
inference(forward_demodulation,[status(thm)],[f2258,f921]) ).
fof(f7007,plain,
( ~ sQ119_spl
| ~ sQ203_spl
| p1 = b1
| ~ incident(b1,a2a3) ),
inference(resolution,[status(thm)],[f7003,f76]) ).
fof(f7018,definition,
( sQ379_spl
<=> p1 = b1 ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f7019,plain,
( ~ sQ379_spl
| p1 = b1 ),
inference(component_clause,[status(thm)],[f7018]) ).
fof(f7021,plain,
( ~ sQ119_spl
| ~ sQ203_spl
| sQ379_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f7007,f156,f7018,f2257,f920]) ).
fof(f7182,plain,
( ~ sQ221_spl
| b3 = p2
| ~ incident(p2,s2) ),
inference(resolution,[status(thm)],[f2494,f91]) ).
fof(f7187,plain,
( ~ sQ221_spl
| sQ111_spl
| ~ sQ364_spl ),
inference(split_clause,[status(thm)],[f7182,f6398,f849,f2493]) ).
fof(f7198,plain,
( ~ sQ246_spl
| b1 = p2
| ~ incident(p2,s1) ),
inference(resolution,[status(thm)],[f3303,f91]) ).
fof(f7200,plain,
( ~ sQ246_spl
| b1 = b3
| ~ incident(b3,s1) ),
inference(resolution,[status(thm)],[f3303,f75]) ).
fof(f7201,plain,
! [X0] :
( ~ sQ246_spl
| ~ line(b3b1)
| ~ line(X0)
| b1 = sK1_skl(b3b1,X0)
| ~ incident(sK1_skl(b3b1,X0),s1) ),
inference(resolution,[status(thm)],[f3303,f137]) ).
fof(f7202,plain,
! [X0] :
( ~ sQ246_spl
| ~ line(X0)
| ~ line(b3b1)
| b1 = sK1_skl(X0,b3b1)
| ~ incident(sK1_skl(X0,b3b1),s1) ),
inference(resolution,[status(thm)],[f3303,f136]) ).
fof(f7203,definition,
( sQ384_spl
<=> incident(p2,s1) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f7205,plain,
( sQ384_spl
| ~ incident(p2,s1) ),
inference(component_clause,[status(thm)],[f7203]) ).
fof(f7206,plain,
( ~ sQ246_spl
| sQ113_spl
| ~ sQ384_spl ),
inference(split_clause,[status(thm)],[f7198,f7203,f856,f3302]) ).
fof(f7208,plain,
( ~ sQ246_spl
| sQ13_spl
| ~ sQ285_spl ),
inference(split_clause,[status(thm)],[f7200,f4230,f189,f3302]) ).
fof(f7209,definition,
! [X0] :
( sQ385_spl
<=> ( ~ line(X0)
| b1 = sK1_skl(b3b1,X0)
| ~ incident(sK1_skl(b3b1,X0),s1) ) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f7212,plain,
( ~ sQ246_spl
| ~ sQ108_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f7201,f7209,f837,f3302]) ).
fof(f7213,definition,
! [X0] :
( sQ386_spl
<=> ( ~ line(X0)
| b1 = sK1_skl(X0,b3b1)
| ~ incident(sK1_skl(X0,b3b1),s1) ) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f7216,plain,
( ~ sQ246_spl
| ~ sQ108_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f7202,f7213,f837,f3302]) ).
fof(f7233,plain,
( sQ301_spl
| ~ sQ247_spl
| s1 != a1a2 ),
inference(backward_demodulation,[status(thm)],[f3306,f4584]) ).
fof(f7344,definition,
( sQ391_spl
<=> b2b3 = a1a2 ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f7345,plain,
( ~ sQ391_spl
| b2b3 = a1a2 ),
inference(component_clause,[status(thm)],[f7344]) ).
fof(f7357,plain,
( ~ sQ281_spl
| incident(a1,s2) ),
inference(backward_demodulation,[status(thm)],[f4092,f65]) ).
fof(f7373,definition,
( sQ392_spl
<=> incident(a1,s2) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f7375,plain,
( sQ392_spl
| ~ incident(a1,s2) ),
inference(component_clause,[status(thm)],[f7373]) ).
fof(f7416,plain,
! [X0] :
( ~ sQ148_spl
| b1b2 = a1a2
| X0 = b2
| ~ incident(X0,a1a2)
| ~ incident(X0,b1b2) ),
inference(resolution,[status(thm)],[f352,f4245]) ).
fof(f7422,definition,
! [X0] :
( sQ393_spl
<=> ( X0 = b2
| ~ incident(X0,a1a2)
| ~ incident(X0,b1b2) ) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f7425,plain,
( ~ sQ148_spl
| sQ14_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f7416,f7422,f193,f1126]) ).
fof(f7433,plain,
! [X0] :
( ~ sQ5_spl
| s1 = a2a3
| X0 = b1
| ~ incident(X0,a2a3)
| ~ incident(X0,s1) ),
inference(resolution,[status(thm)],[f354,f157]) ).
fof(f7439,definition,
! [X0] :
( sQ394_spl
<=> ( X0 = b1
| ~ incident(X0,a2a3)
| ~ incident(X0,s1) ) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f7442,plain,
( ~ sQ5_spl
| sQ325_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f7433,f7439,f4893,f156]) ).
fof(f7448,plain,
! [X0] :
( ~ sQ5_spl
| b3b1 = a2a3
| X0 = b1
| ~ incident(X0,a2a3)
| ~ incident(X0,b3b1) ),
inference(resolution,[status(thm)],[f356,f157]) ).
fof(f7454,definition,
! [X0] :
( sQ395_spl
<=> ( X0 = b1
| ~ incident(X0,a2a3)
| ~ incident(X0,b3b1) ) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f7455,plain,
! [X0] :
( ~ sQ395_spl
| X0 = b1
| ~ incident(X0,a2a3)
| ~ incident(X0,b3b1) ),
inference(component_clause,[status(thm)],[f7454]) ).
fof(f7457,plain,
( ~ sQ5_spl
| sQ297_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f7448,f7454,f4472,f156]) ).
fof(f7481,plain,
! [X0] :
( ~ sQ244_spl
| ~ line(b1b2)
| ~ line(X0)
| b1 = sK1_skl(b1b2,X0)
| ~ incident(sK1_skl(b1b2,X0),s1) ),
inference(resolution,[status(thm)],[f3296,f137]) ).
fof(f7482,plain,
! [X0] :
( ~ sQ244_spl
| ~ line(X0)
| ~ line(b1b2)
| b1 = sK1_skl(X0,b1b2)
| ~ incident(sK1_skl(X0,b1b2),s1) ),
inference(resolution,[status(thm)],[f3296,f136]) ).
fof(f7484,definition,
( sQ396_spl
<=> b1 = a3 ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f7485,plain,
( ~ sQ396_spl
| b1 = a3 ),
inference(component_clause,[status(thm)],[f7484]) ).
fof(f7486,plain,
( sQ396_spl
| b1 != a3 ),
inference(component_clause,[status(thm)],[f7484]) ).
fof(f7489,definition,
! [X0] :
( sQ397_spl
<=> ( ~ line(X0)
| b1 = sK1_skl(b1b2,X0)
| ~ incident(sK1_skl(b1b2,X0),s1) ) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f7492,plain,
( ~ sQ244_spl
| ~ sQ145_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f7481,f7489,f1114,f3295]) ).
fof(f7493,definition,
! [X0] :
( sQ398_spl
<=> ( ~ line(X0)
| b1 = sK1_skl(X0,b1b2)
| ~ incident(sK1_skl(X0,b1b2),s1) ) ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f7496,plain,
( ~ sQ244_spl
| ~ sQ145_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f7482,f7493,f1114,f3295]) ).
fof(f7527,plain,
( ~ sQ309_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f4686,f4230,f4621]) ).
fof(f7528,plain,
! [X0] :
( ~ sQ7_spl
| b2b3 = a1a2
| X0 = b3
| ~ incident(X0,a1a2)
| ~ incident(X0,b2b3) ),
inference(resolution,[status(thm)],[f163,f346]) ).
fof(f7538,definition,
! [X0] :
( sQ402_spl
<=> ( X0 = b3
| ~ incident(X0,a1a2)
| ~ incident(X0,b2b3) ) ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f7539,plain,
! [X0] :
( ~ sQ402_spl
| X0 = b3
| ~ incident(X0,a1a2)
| ~ incident(X0,b2b3) ),
inference(component_clause,[status(thm)],[f7538]) ).
fof(f7541,plain,
( ~ sQ7_spl
| sQ391_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f7528,f7538,f7344,f162]) ).
fof(f7546,plain,
( sQ2_spl
| ~ sQ391_spl
| ~ incident(a1,a1a2) ),
inference(backward_demodulation,[status(thm)],[f7345,f148]) ).
fof(f7553,plain,
( ~ sQ391_spl
| incident(b3,a1a2) ),
inference(backward_demodulation,[status(thm)],[f7345,f74]) ).
fof(f7561,plain,
( sQ2_spl
| ~ sQ391_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7546,f65]) ).
fof(f7562,plain,
( sQ2_spl
| ~ sQ391_spl ),
inference(contradiction_clause,[status(thm)],[f7561]) ).
fof(f7616,plain,
( ~ sQ253_spl
| b1 = p2
| ~ incident(p2,b1b2) ),
inference(resolution,[status(thm)],[f3472,f91]) ).
fof(f7617,plain,
( ~ sQ253_spl
| b1 = b1
| ~ incident(b1,b1b2) ),
inference(resolution,[status(thm)],[f3472,f76]) ).
fof(f7618,plain,
( ~ sQ253_spl
| b1 = b3
| ~ incident(b3,b1b2) ),
inference(resolution,[status(thm)],[f3472,f75]) ).
fof(f7619,plain,
! [X0] :
( ~ sQ253_spl
| ~ line(b3b1)
| ~ line(X0)
| b1 = sK1_skl(b3b1,X0)
| ~ incident(sK1_skl(b3b1,X0),b1b2) ),
inference(resolution,[status(thm)],[f3472,f137]) ).
fof(f7620,plain,
! [X0] :
( ~ sQ253_spl
| ~ line(X0)
| ~ line(b3b1)
| b1 = sK1_skl(X0,b3b1)
| ~ incident(sK1_skl(X0,b3b1),b1b2) ),
inference(resolution,[status(thm)],[f3472,f136]) ).
fof(f7621,plain,
( ~ sQ253_spl
| sQ113_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f7616,f761,f856,f3471]) ).
fof(f7622,plain,
( ~ sQ253_spl
| sQ48_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f7617,f527,f519,f3471]) ).
fof(f7623,plain,
( ~ sQ253_spl
| sQ13_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f7618,f2164,f189,f3471]) ).
fof(f7624,definition,
! [X0] :
( sQ403_spl
<=> ( ~ line(X0)
| b1 = sK1_skl(b3b1,X0)
| ~ incident(sK1_skl(b3b1,X0),b1b2) ) ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f7627,plain,
( ~ sQ253_spl
| ~ sQ108_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f7619,f7624,f837,f3471]) ).
fof(f7628,definition,
! [X0] :
( sQ404_spl
<=> ( ~ line(X0)
| b1 = sK1_skl(X0,b3b1)
| ~ incident(sK1_skl(X0,b3b1),b1b2) ) ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f7631,plain,
( ~ sQ253_spl
| ~ sQ108_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f7620,f7628,f837,f3471]) ).
fof(f7640,definition,
( sQ405_spl
<=> incident(p3,s1) ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f7642,plain,
( sQ405_spl
| ~ incident(p3,s1) ),
inference(component_clause,[status(thm)],[f7640]) ).
fof(f7675,plain,
( ~ sQ168_spl
| incident(s,a3a1) ),
inference(backward_demodulation,[status(thm)],[f1233,f70]) ).
fof(f7680,plain,
( ~ sQ116_spl
| ~ sQ113_spl
| b1 = sK1_skl(a3a1,b3b1) ),
inference(backward_demodulation,[status(thm)],[f857,f890]) ).
fof(f7685,plain,
( ~ sQ113_spl
| incident(b1,a3a1) ),
inference(backward_demodulation,[status(thm)],[f857,f90]) ).
fof(f7694,plain,
( sQ14_spl
| ~ sQ245_spl
| a1a2 != s1 ),
inference(backward_demodulation,[status(thm)],[f3299,f195]) ).
fof(f7705,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ113_spl
| ~ incident(b1,X0)
| ~ incident(p1,X0)
| ~ incident(p3,X0) ),
inference(forward_demodulation,[status(thm)],[f857,f140]) ).
fof(f7795,plain,
( ~ sQ305_spl
| incident(a3,s1) ),
inference(backward_demodulation,[status(thm)],[f4607,f69]) ).
fof(f7802,plain,
( ~ sQ0_spl
| ~ sQ113_spl
| ~ incident(b1,b1b2)
| ~ incident(p1,b1b2) ),
inference(resolution,[status(thm)],[f87,f7705]) ).
fof(f7811,plain,
( ~ sQ0_spl
| ~ sQ113_spl
| ~ sQ50_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f7802,f758,f527,f856,f139]) ).
fof(f7955,plain,
! [X0] :
( ~ sQ5_spl
| b1b2 = a2a3
| X0 = b1
| ~ incident(X0,a2a3)
| ~ incident(X0,b1b2) ),
inference(resolution,[status(thm)],[f358,f157]) ).
fof(f7962,definition,
! [X0] :
( sQ411_spl
<=> ( X0 = b1
| ~ incident(X0,a2a3)
| ~ incident(X0,b1b2) ) ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f7963,plain,
! [X0] :
( ~ sQ411_spl
| X0 = b1
| ~ incident(X0,a2a3)
| ~ incident(X0,b1b2) ),
inference(component_clause,[status(thm)],[f7962]) ).
fof(f7965,definition,
( sQ412_spl
<=> b1b2 = a2a3 ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f7966,plain,
( ~ sQ412_spl
| b1b2 = a2a3 ),
inference(component_clause,[status(thm)],[f7965]) ).
fof(f7968,plain,
( ~ sQ5_spl
| sQ412_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f7955,f7962,f7965,f156]) ).
fof(f7972,plain,
( ~ sQ153_spl
| ~ sQ148_spl
| b2 = sK1_skl(b1b2,a1a2) ),
inference(forward_demodulation,[status(thm)],[f1127,f1148]) ).
fof(f7987,plain,
( ~ sQ116_spl
| ~ sQ113_spl
| incident(b1,a3a1)
| ~ line(a3a1)
| ~ line(b3b1) ),
inference(paramodulation,[status(thm)],[f7680,f137]) ).
fof(f7990,plain,
( ~ sQ116_spl
| ~ sQ113_spl
| sQ112_spl
| ~ sQ115_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f7987,f837,f866,f853,f856,f889]) ).
fof(f7998,plain,
( ~ sQ260_spl
| a3 = a3
| ~ incident(a3,s3) ),
inference(resolution,[status(thm)],[f3515,f69]) ).
fof(f8000,plain,
! [X0] :
( ~ sQ260_spl
| ~ line(a3a1)
| ~ line(X0)
| a3 = sK1_skl(a3a1,X0)
| ~ incident(sK1_skl(a3a1,X0),s3) ),
inference(resolution,[status(thm)],[f3515,f137]) ).
fof(f8001,plain,
! [X0] :
( ~ sQ260_spl
| ~ line(X0)
| ~ line(a3a1)
| a3 = sK1_skl(X0,a3a1)
| ~ incident(sK1_skl(X0,a3a1),s3) ),
inference(resolution,[status(thm)],[f3515,f136]) ).
fof(f8002,plain,
( ~ sQ168_spl
| ~ sQ260_spl
| a3 = s
| ~ incident(s,s3) ),
inference(resolution,[status(thm)],[f3515,f7675]) ).
fof(f8003,plain,
( ~ sQ260_spl
| sQ51_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f7998,f535,f531,f3514]) ).
fof(f8005,definition,
! [X0] :
( sQ413_spl
<=> ( ~ line(X0)
| a3 = sK1_skl(a3a1,X0)
| ~ incident(sK1_skl(a3a1,X0),s3) ) ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f8008,plain,
( ~ sQ260_spl
| ~ sQ115_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f8000,f8005,f866,f3514]) ).
fof(f8009,definition,
! [X0] :
( sQ414_spl
<=> ( ~ line(X0)
| a3 = sK1_skl(X0,a3a1)
| ~ incident(sK1_skl(X0,a3a1),s3) ) ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f8012,plain,
( ~ sQ260_spl
| ~ sQ115_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f8001,f8009,f866,f3514]) ).
fof(f8013,definition,
( sQ415_spl
<=> a3 = s ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f8014,plain,
( ~ sQ415_spl
| a3 = s ),
inference(component_clause,[status(thm)],[f8013]) ).
fof(f8016,plain,
( ~ sQ168_spl
| ~ sQ260_spl
| sQ415_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f8002,f462,f8013,f3514,f1232]) ).
fof(f8030,plain,
( sQ110_spl
| ~ sQ198_spl
| ~ incident(b3,s3) ),
inference(backward_demodulation,[status(thm)],[f2154,f848]) ).
fof(f8041,plain,
( sQ110_spl
| ~ sQ198_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f8030,f486,f2153,f846]) ).
fof(f8046,plain,
( ~ sQ297_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f4490,f955,f4472]) ).
fof(f8047,plain,
( ~ sQ297_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f4492,f156,f4472]) ).
fof(f8451,plain,
( sQ291_spl
| ~ sQ222_spl
| ~ incident(b2,s2) ),
inference(forward_demodulation,[status(thm)],[f2497,f4354]) ).
fof(f8505,plain,
( sQ245_spl
| ~ sQ212_spl
| s2 != s1 ),
inference(backward_demodulation,[status(thm)],[f2403,f3300]) ).
fof(f8632,plain,
( ~ sQ4_spl
| ~ sQ212_spl
| incident(a3,s2) ),
inference(forward_demodulation,[status(thm)],[f2403,f153]) ).
fof(f8753,plain,
( ~ sQ261_spl
| a3 = a2
| ~ incident(a2,s3) ),
inference(resolution,[status(thm)],[f3520,f67]) ).
fof(f8754,plain,
( ~ sQ261_spl
| a3 = a3
| ~ incident(a3,s3) ),
inference(resolution,[status(thm)],[f3520,f68]) ).
fof(f8755,plain,
! [X0] :
( ~ sQ261_spl
| ~ line(a2a3)
| ~ line(X0)
| a3 = sK1_skl(a2a3,X0)
| ~ incident(sK1_skl(a2a3,X0),s3) ),
inference(resolution,[status(thm)],[f3520,f137]) ).
fof(f8756,plain,
! [X0] :
( ~ sQ261_spl
| ~ line(X0)
| ~ line(a2a3)
| a3 = sK1_skl(X0,a2a3)
| ~ incident(sK1_skl(X0,a2a3),s3) ),
inference(resolution,[status(thm)],[f3520,f136]) ).
fof(f8757,definition,
( sQ417_spl
<=> a3 = p1 ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f8758,plain,
( ~ sQ417_spl
| a3 = p1 ),
inference(component_clause,[status(thm)],[f8757]) ).
fof(f8762,plain,
( ~ sQ261_spl
| sQ9_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f8753,f1288,f173,f3519]) ).
fof(f8763,plain,
( ~ sQ261_spl
| sQ51_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f8754,f535,f531,f3519]) ).
fof(f8764,definition,
! [X0] :
( sQ418_spl
<=> ( ~ line(X0)
| a3 = sK1_skl(a2a3,X0)
| ~ incident(sK1_skl(a2a3,X0),s3) ) ),
introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).
fof(f8767,plain,
( ~ sQ261_spl
| ~ sQ135_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f8755,f8764,f1025,f3519]) ).
fof(f8768,definition,
! [X0] :
( sQ419_spl
<=> ( ~ line(X0)
| a3 = sK1_skl(X0,a2a3)
| ~ incident(sK1_skl(X0,a2a3),s3) ) ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f8771,plain,
( ~ sQ261_spl
| ~ sQ135_spl
| sQ419_spl ),
inference(split_clause,[status(thm)],[f8756,f8768,f1025,f3519]) ).
fof(f8854,plain,
( ~ sQ277_spl
| a2 = a3
| ~ incident(a3,s2) ),
inference(resolution,[status(thm)],[f4077,f68]) ).
fof(f8855,plain,
( ~ sQ277_spl
| a2 = p1
| ~ incident(p1,s2) ),
inference(resolution,[status(thm)],[f4077,f88]) ).
fof(f8856,plain,
( ~ sQ277_spl
| a2 = a2
| ~ incident(a2,s2) ),
inference(resolution,[status(thm)],[f4077,f67]) ).
fof(f8857,plain,
! [X0] :
( ~ sQ277_spl
| ~ line(a2a3)
| ~ line(X0)
| a2 = sK1_skl(a2a3,X0)
| ~ incident(sK1_skl(a2a3,X0),s2) ),
inference(resolution,[status(thm)],[f4077,f137]) ).
fof(f8858,plain,
! [X0] :
( ~ sQ277_spl
| ~ line(X0)
| ~ line(a2a3)
| a2 = sK1_skl(X0,a2a3)
| ~ incident(sK1_skl(X0,a2a3),s2) ),
inference(resolution,[status(thm)],[f4077,f136]) ).
fof(f8859,plain,
( ~ sQ277_spl
| sQ9_spl
| ~ sQ220_spl ),
inference(split_clause,[status(thm)],[f8854,f2474,f173,f4076]) ).
fof(f8860,definition,
( sQ420_spl
<=> a2 = p1 ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f8861,plain,
( ~ sQ420_spl
| a2 = p1 ),
inference(component_clause,[status(thm)],[f8860]) ).
fof(f8863,plain,
( ~ sQ277_spl
| sQ420_spl
| ~ sQ363_spl ),
inference(split_clause,[status(thm)],[f8855,f6395,f8860,f4076]) ).
fof(f8864,plain,
( ~ sQ277_spl
| sQ55_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f8856,f551,f547,f4076]) ).
fof(f8865,definition,
! [X0] :
( sQ421_spl
<=> ( ~ line(X0)
| a2 = sK1_skl(a2a3,X0)
| ~ incident(sK1_skl(a2a3,X0),s2) ) ),
introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).
fof(f8868,plain,
( ~ sQ277_spl
| ~ sQ135_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f8857,f8865,f1025,f4076]) ).
fof(f8869,definition,
! [X0] :
( sQ422_spl
<=> ( ~ line(X0)
| a2 = sK1_skl(X0,a2a3)
| ~ incident(sK1_skl(X0,a2a3),s2) ) ),
introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).
fof(f8872,plain,
( ~ sQ277_spl
| ~ sQ135_spl
| sQ422_spl ),
inference(split_clause,[status(thm)],[f8858,f8869,f1025,f4076]) ).
fof(f8873,plain,
( ~ sQ278_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f4150,f2474,f4079]) ).
fof(f8874,plain,
( ~ sQ295_spl
| a2 = a3
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[f4465,f68]) ).
fof(f8875,plain,
( ~ sQ295_spl
| a2 = p1
| ~ incident(p1,a1a2) ),
inference(resolution,[status(thm)],[f4465,f88]) ).
fof(f8877,plain,
! [X0] :
( ~ sQ295_spl
| ~ line(a2a3)
| ~ line(X0)
| a2 = sK1_skl(a2a3,X0)
| ~ incident(sK1_skl(a2a3,X0),a1a2) ),
inference(resolution,[status(thm)],[f4465,f137]) ).
fof(f8878,plain,
! [X0] :
( ~ sQ295_spl
| ~ line(X0)
| ~ line(a2a3)
| a2 = sK1_skl(X0,a2a3)
| ~ incident(sK1_skl(X0,a2a3),a1a2) ),
inference(resolution,[status(thm)],[f4465,f136]) ).
fof(f8879,plain,
( ~ sQ295_spl
| sQ9_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f8874,f1137,f173,f4464]) ).
fof(f8880,plain,
( ~ sQ295_spl
| sQ420_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f8875,f765,f8860,f4464]) ).
fof(f8882,definition,
! [X0] :
( sQ423_spl
<=> ( ~ line(X0)
| a2 = sK1_skl(a2a3,X0)
| ~ incident(sK1_skl(a2a3,X0),a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition]) ).
fof(f8885,plain,
( ~ sQ295_spl
| ~ sQ135_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f8877,f8882,f1025,f4464]) ).
fof(f8886,definition,
! [X0] :
( sQ424_spl
<=> ( ~ line(X0)
| a2 = sK1_skl(X0,a2a3)
| ~ incident(sK1_skl(X0,a2a3),a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition]) ).
fof(f8889,plain,
( ~ sQ295_spl
| ~ sQ135_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f8878,f8886,f1025,f4464]) ).
fof(f8893,plain,
( ~ sQ274_spl
| incident(a3,a1a2) ),
inference(backward_demodulation,[status(thm)],[f4058,f68]) ).
fof(f8897,plain,
( sQ126_spl
| ~ sQ274_spl
| ~ incident(b3,a1a2) ),
inference(backward_demodulation,[status(thm)],[f4058,f957]) ).
fof(f8905,plain,
( ~ sQ274_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f8893,f1137,f4057]) ).
fof(f8906,plain,
( sQ126_spl
| ~ sQ274_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f8897,f162,f4057,f955]) ).
fof(f8989,plain,
( ~ sQ306_spl
| a1 = p3
| ~ incident(p3,s1) ),
inference(resolution,[status(thm)],[f4612,f86]) ).
fof(f8991,plain,
( ~ sQ306_spl
| a1 = a2
| ~ incident(a2,s1) ),
inference(resolution,[status(thm)],[f4612,f66]) ).
fof(f8993,plain,
! [X0] :
( ~ sQ306_spl
| ~ line(a1a2)
| ~ line(X0)
| a1 = sK1_skl(a1a2,X0)
| ~ incident(sK1_skl(a1a2,X0),s1) ),
inference(resolution,[status(thm)],[f4612,f137]) ).
fof(f8994,plain,
! [X0] :
( ~ sQ306_spl
| ~ line(X0)
| ~ line(a1a2)
| a1 = sK1_skl(X0,a1a2)
| ~ incident(sK1_skl(X0,a1a2),s1) ),
inference(resolution,[status(thm)],[f4612,f136]) ).
fof(f8995,definition,
( sQ426_spl
<=> a1 = p3 ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f8996,plain,
( ~ sQ426_spl
| a1 = p3 ),
inference(component_clause,[status(thm)],[f8995]) ).
fof(f8997,plain,
( sQ426_spl
| a1 != p3 ),
inference(component_clause,[status(thm)],[f8995]) ).
fof(f8998,plain,
( ~ sQ306_spl
| sQ426_spl
| ~ sQ405_spl ),
inference(split_clause,[status(thm)],[f8989,f7640,f8995,f4611]) ).
fof(f9000,plain,
( ~ sQ306_spl
| sQ8_spl
| ~ sQ251_spl ),
inference(split_clause,[status(thm)],[f8991,f3352,f169,f4611]) ).
fof(f9002,definition,
! [X0] :
( sQ427_spl
<=> ( ~ line(X0)
| a1 = sK1_skl(a1a2,X0)
| ~ incident(sK1_skl(a1a2,X0),s1) ) ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f9005,plain,
( ~ sQ306_spl
| ~ sQ154_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f8993,f9002,f1150,f4611]) ).
fof(f9006,definition,
! [X0] :
( sQ428_spl
<=> ( ~ line(X0)
| a1 = sK1_skl(X0,a1a2)
| ~ incident(sK1_skl(X0,a1a2),s1) ) ),
introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition]) ).
fof(f9009,plain,
( ~ sQ306_spl
| ~ sQ154_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f8994,f9006,f1150,f4611]) ).
fof(f9010,plain,
( ~ sQ313_spl
| a1 = a3
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[f4647,f69]) ).
fof(f9014,plain,
! [X0] :
( ~ sQ313_spl
| ~ line(a3a1)
| ~ line(X0)
| a1 = sK1_skl(a3a1,X0)
| ~ incident(sK1_skl(a3a1,X0),a1a2) ),
inference(resolution,[status(thm)],[f4647,f137]) ).
fof(f9015,plain,
! [X0] :
( ~ sQ313_spl
| ~ line(X0)
| ~ line(a3a1)
| a1 = sK1_skl(X0,a3a1)
| ~ incident(sK1_skl(X0,a3a1),a1a2) ),
inference(resolution,[status(thm)],[f4647,f136]) ).
fof(f9016,plain,
( ~ sQ313_spl
| sQ10_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f9010,f1137,f177,f4646]) ).
fof(f9018,definition,
( sQ429_spl
<=> a1 = b1 ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f9019,plain,
( ~ sQ429_spl
| a1 = b1 ),
inference(component_clause,[status(thm)],[f9018]) ).
fof(f9023,definition,
! [X0] :
( sQ430_spl
<=> ( ~ line(X0)
| a1 = sK1_skl(a3a1,X0)
| ~ incident(sK1_skl(a3a1,X0),a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition]) ).
fof(f9026,plain,
( ~ sQ313_spl
| ~ sQ115_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f9014,f9023,f866,f4646]) ).
fof(f9027,definition,
! [X0] :
( sQ431_spl
<=> ( ~ line(X0)
| a1 = sK1_skl(X0,a3a1)
| ~ incident(sK1_skl(X0,a3a1),a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition]) ).
fof(f9030,plain,
( ~ sQ313_spl
| ~ sQ115_spl
| sQ431_spl ),
inference(split_clause,[status(thm)],[f9015,f9027,f866,f4646]) ).
fof(f9095,plain,
( ~ sQ278_spl
| ~ sQ270_spl
| a3a1 = s2 ),
inference(forward_demodulation,[status(thm)],[f4035,f4080]) ).
fof(f9181,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ113_spl
| b1 = X0
| ~ incident(X0,b3b1)
| ~ incident(X0,a3a1) ),
inference(forward_demodulation,[status(thm)],[f857,f813]) ).
fof(f9184,plain,
( ~ sQ103_spl
| ~ sQ113_spl
| b1 = b3
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[f9181,f75]) ).
fof(f9188,definition,
( sQ432_spl
<=> b1 = a2 ),
introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).
fof(f9189,plain,
( ~ sQ432_spl
| b1 = a2 ),
inference(component_clause,[status(thm)],[f9188]) ).
fof(f9192,plain,
( ~ sQ103_spl
| ~ sQ113_spl
| sQ13_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f9184,f846,f189,f856,f812]) ).
fof(f9201,plain,
! [X0] :
( ~ sQ139_spl
| ~ sQ212_spl
| p3 = X0
| ~ incident(X0,s2)
| ~ incident(X0,a1a2) ),
inference(forward_demodulation,[status(thm)],[f2403,f1080]) ).
fof(f9204,plain,
( ~ sQ139_spl
| ~ sQ212_spl
| p3 = a2
| ~ incident(a2,s2) ),
inference(resolution,[status(thm)],[f9201,f66]) ).
fof(f9210,definition,
( sQ435_spl
<=> p3 = a2 ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f9211,plain,
( ~ sQ435_spl
| p3 = a2 ),
inference(component_clause,[status(thm)],[f9210]) ).
fof(f9213,plain,
( ~ sQ139_spl
| ~ sQ212_spl
| sQ435_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f9204,f551,f9210,f2402,f1079]) ).
fof(f9214,definition,
( sQ436_spl
<=> p3 = b3 ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f9215,plain,
( ~ sQ436_spl
| p3 = b3 ),
inference(component_clause,[status(thm)],[f9214]) ).
fof(f9226,plain,
( sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f81]) ).
fof(f9227,plain,
sQ56_spl,
inference(contradiction_clause,[status(thm)],[f9226]) ).
fof(f9291,definition,
( sQ439_spl
<=> incident(a2,b2b3) ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f9293,plain,
( sQ439_spl
| ~ incident(a2,b2b3) ),
inference(component_clause,[status(thm)],[f9291]) ).
fof(f9303,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ435_spl
| ~ incident(p2,X0)
| ~ incident(p1,X0)
| ~ incident(a2,X0) ),
inference(forward_demodulation,[status(thm)],[f9211,f140]) ).
fof(f9327,plain,
( ~ sQ313_spl
| a1 = p2
| ~ incident(p2,a1a2) ),
inference(resolution,[status(thm)],[f90,f4647]) ).
fof(f9336,plain,
( ~ sQ313_spl
| sQ350_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f9327,f768,f5979,f4646]) ).
fof(f9340,plain,
( ~ sQ0_spl
| ~ sQ435_spl
| ~ incident(p2,a2a3)
| ~ incident(a2,a2a3) ),
inference(resolution,[status(thm)],[f9303,f88]) ).
fof(f9348,plain,
( ~ sQ0_spl
| ~ sQ435_spl
| ~ sQ286_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f9340,f555,f4332,f9210,f139]) ).
fof(f9378,plain,
( ~ sQ4_spl
| ~ sQ245_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f3335,f3366,f3298,f152]) ).
fof(f9381,plain,
( ~ sQ136_spl
| ~ sQ127_spl
| b3 = p1 ),
inference(forward_demodulation,[status(thm)],[f1049,f1398]) ).
fof(f9389,plain,
( sQ252_spl
| ~ sQ327_spl
| ~ sQ220_spl ),
inference(split_clause,[status(thm)],[f4910,f2474,f4900,f3366]) ).
fof(f9390,plain,
( sQ14_spl
| ~ sQ245_spl
| ~ sQ307_spl ),
inference(split_clause,[status(thm)],[f7694,f4614,f3298,f193]) ).
fof(f9399,plain,
( sQ245_spl
| ~ sQ212_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f8505,f4900,f2402,f3298]) ).
fof(f9419,plain,
( sQ292_spl
| ~ sQ420_spl
| ~ incident(a2,b3b1) ),
inference(backward_demodulation,[status(thm)],[f8861,f4357]) ).
fof(f9421,plain,
( ~ sQ420_spl
| incident(a2,b2b3) ),
inference(backward_demodulation,[status(thm)],[f8861,f89]) ).
fof(f9447,plain,
( ~ sQ254_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f3539,f761,f3474]) ).
fof(f9465,plain,
( ~ sQ396_spl
| incident(b1,s3) ),
inference(backward_demodulation,[status(thm)],[f7485,f82]) ).
fof(f9466,plain,
( ~ sQ396_spl
| incident(b1,a3a1) ),
inference(backward_demodulation,[status(thm)],[f7485,f69]) ).
fof(f9472,plain,
( ~ sQ396_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f9465,f1222,f7484]) ).
fof(f9473,plain,
( ~ sQ396_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f9466,f853,f7484]) ).
fof(f9508,plain,
( ~ sQ278_spl
| incident(p1,s2) ),
inference(forward_demodulation,[status(thm)],[f4080,f88]) ).
fof(f9522,plain,
( sQ220_spl
| ~ sQ4_spl
| ~ sQ212_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2476,f8632]) ).
fof(f9523,plain,
( sQ220_spl
| ~ sQ4_spl
| ~ sQ212_spl ),
inference(contradiction_clause,[status(thm)],[f9522]) ).
fof(f9634,plain,
( sQ149_spl
| ~ sQ307_spl
| ~ incident(b1,s1) ),
inference(backward_demodulation,[status(thm)],[f4615,f1132]) ).
fof(f9640,plain,
( sQ268_spl
| ~ sQ307_spl
| s1 != a3a1 ),
inference(backward_demodulation,[status(thm)],[f4615,f4029]) ).
fof(f9643,plain,
( sQ149_spl
| ~ sQ307_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f9634,f516,f4614,f1130]) ).
fof(f9713,plain,
( ~ sQ7_spl
| ~ sQ307_spl
| incident(b3,s1) ),
inference(forward_demodulation,[status(thm)],[f4615,f163]) ).
fof(f9714,plain,
( ~ sQ157_spl
| ~ sQ7_spl
| ~ sQ307_spl
| s = b3
| ~ incident(b3,s3) ),
inference(resolution,[status(thm)],[f9713,f1168]) ).
fof(f9723,definition,
( sQ446_spl
<=> s = b3 ),
introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).
fof(f9724,plain,
( ~ sQ446_spl
| s = b3 ),
inference(component_clause,[status(thm)],[f9723]) ).
fof(f9726,plain,
( ~ sQ157_spl
| ~ sQ7_spl
| ~ sQ307_spl
| sQ446_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f9714,f486,f9723,f4614,f162,f1167]) ).
fof(f9733,plain,
( ~ sQ446_spl
| incident(s,b3b1) ),
inference(backward_demodulation,[status(thm)],[f9724,f75]) ).
fof(f9743,plain,
( ~ sQ278_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f9508,f6395,f4079]) ).
fof(f9745,plain,
( sQ128_spl
| ~ sQ278_spl
| ~ incident(b2,s2) ),
inference(forward_demodulation,[status(thm)],[f4080,f964]) ).
fof(f9746,plain,
( sQ128_spl
| ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9745,f84]) ).
fof(f9747,plain,
( sQ128_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f9746]) ).
fof(f9812,plain,
( sQ290_spl
| ~ sQ129_spl
| ~ incident(b2,a3a1) ),
inference(forward_demodulation,[status(thm)],[f966,f4350]) ).
fof(f9906,plain,
( ~ sQ136_spl
| ~ sQ129_spl
| b2 = sK1_skl(a2a3,b2b3) ),
inference(forward_demodulation,[status(thm)],[f966,f1049]) ).
fof(f9926,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ278_spl
| p1 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,s2) ),
inference(forward_demodulation,[status(thm)],[f4080,f921]) ).
fof(f9927,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ278_spl
| ~ sQ129_spl
| b2 = X0
| ~ incident(X0,b2b3)
| ~ incident(X0,s2) ),
inference(forward_demodulation,[status(thm)],[f966,f9926]) ).
fof(f9928,plain,
( ~ sQ119_spl
| ~ sQ278_spl
| ~ sQ129_spl
| b2 = b3
| ~ incident(b3,s2) ),
inference(resolution,[status(thm)],[f9927,f74]) ).
fof(f9932,plain,
( ~ sQ119_spl
| ~ sQ278_spl
| ~ sQ129_spl
| sQ12_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f9928,f2504,f185,f965,f4079,f920]) ).
fof(f9934,definition,
! [X0] :
( sQ449_spl
<=> ( ~ line(X0)
| b2 = sK1_skl(b2b3,X0)
| ~ incident(sK1_skl(b2b3,X0),s2) ) ),
introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).
fof(f9938,definition,
! [X0] :
( sQ450_spl
<=> ( ~ line(X0)
| b2 = sK1_skl(X0,b2b3)
| ~ incident(sK1_skl(X0,b2b3),s2) ) ),
introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition]) ).
fof(f9962,plain,
( ~ sQ280_spl
| a2 = a2
| ~ incident(a2,s2) ),
inference(resolution,[status(thm)],[f4089,f66]) ).
fof(f9963,plain,
( ~ sQ7_spl
| ~ sQ280_spl
| a2 = b3
| ~ incident(b3,s2) ),
inference(resolution,[status(thm)],[f4089,f163]) ).
fof(f9964,plain,
( ~ sQ280_spl
| a2 = a1
| ~ incident(a1,s2) ),
inference(resolution,[status(thm)],[f4089,f65]) ).
fof(f9965,plain,
! [X0] :
( ~ sQ280_spl
| ~ line(a1a2)
| ~ line(X0)
| a2 = sK1_skl(a1a2,X0)
| ~ incident(sK1_skl(a1a2,X0),s2) ),
inference(resolution,[status(thm)],[f4089,f137]) ).
fof(f9966,plain,
! [X0] :
( ~ sQ280_spl
| ~ line(X0)
| ~ line(a1a2)
| a2 = sK1_skl(X0,a1a2)
| ~ incident(sK1_skl(X0,a1a2),s2) ),
inference(resolution,[status(thm)],[f4089,f136]) ).
fof(f9967,plain,
( ~ sQ280_spl
| sQ55_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f9962,f551,f547,f4088]) ).
fof(f9968,plain,
( ~ sQ7_spl
| ~ sQ280_spl
| sQ195_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f9963,f2504,f1803,f4088,f162]) ).
fof(f9969,plain,
( ~ sQ280_spl
| sQ8_spl
| ~ sQ392_spl ),
inference(split_clause,[status(thm)],[f9964,f7373,f169,f4088]) ).
fof(f9970,definition,
! [X0] :
( sQ451_spl
<=> ( ~ line(X0)
| a2 = sK1_skl(a1a2,X0)
| ~ incident(sK1_skl(a1a2,X0),s2) ) ),
introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition]) ).
fof(f9973,plain,
( ~ sQ280_spl
| ~ sQ154_spl
| sQ451_spl ),
inference(split_clause,[status(thm)],[f9965,f9970,f1150,f4088]) ).
fof(f9974,definition,
! [X0] :
( sQ452_spl
<=> ( ~ line(X0)
| a2 = sK1_skl(X0,a1a2)
| ~ incident(sK1_skl(X0,a1a2),s2) ) ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f9977,plain,
( ~ sQ280_spl
| ~ sQ154_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f9966,f9974,f1150,f4088]) ).
fof(f9980,plain,
( ~ sQ190_spl
| b3 = a1
| ~ incident(a1,s3) ),
inference(resolution,[status(thm)],[f1636,f65]) ).
fof(f9981,plain,
! [X0] :
( ~ sQ190_spl
| ~ line(a1a2)
| ~ line(X0)
| b3 = sK1_skl(a1a2,X0)
| ~ incident(sK1_skl(a1a2,X0),s3) ),
inference(resolution,[status(thm)],[f1636,f137]) ).
fof(f9982,plain,
! [X0] :
( ~ sQ190_spl
| ~ line(X0)
| ~ line(a1a2)
| b3 = sK1_skl(X0,a1a2)
| ~ incident(sK1_skl(X0,a1a2),s3) ),
inference(resolution,[status(thm)],[f1636,f136]) ).
fof(f9985,plain,
( ~ sQ190_spl
| sQ187_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f9980,f1229,f1393,f1635]) ).
fof(f9986,definition,
! [X0] :
( sQ453_spl
<=> ( ~ line(X0)
| b3 = sK1_skl(a1a2,X0)
| ~ incident(sK1_skl(a1a2,X0),s3) ) ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f9989,plain,
( ~ sQ190_spl
| ~ sQ154_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f9981,f9986,f1150,f1635]) ).
fof(f9990,definition,
! [X0] :
( sQ454_spl
<=> ( ~ line(X0)
| b3 = sK1_skl(X0,a1a2)
| ~ incident(sK1_skl(X0,a1a2),s3) ) ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f9993,plain,
( ~ sQ190_spl
| ~ sQ154_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f9982,f9990,f1150,f1635]) ).
fof(f9995,plain,
( ~ sQ402_spl
| b2 = b3
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[f7539,f73]) ).
fof(f9996,plain,
! [X0] :
( ~ sQ402_spl
| ~ line(b2b3)
| ~ line(X0)
| sK1_skl(b2b3,X0) = b3
| ~ incident(sK1_skl(b2b3,X0),a1a2) ),
inference(resolution,[status(thm)],[f7539,f137]) ).
fof(f9997,plain,
! [X0] :
( ~ sQ402_spl
| ~ line(X0)
| ~ line(b2b3)
| sK1_skl(X0,b2b3) = b3
| ~ incident(sK1_skl(X0,b2b3),a1a2) ),
inference(resolution,[status(thm)],[f7539,f136]) ).
fof(f9999,plain,
( ~ sQ402_spl
| sQ12_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f9995,f1123,f185,f7538]) ).
fof(f10000,definition,
! [X0] :
( sQ455_spl
<=> ( ~ line(X0)
| sK1_skl(b2b3,X0) = b3
| ~ incident(sK1_skl(b2b3,X0),a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition]) ).
fof(f10003,plain,
( ~ sQ402_spl
| ~ sQ124_spl
| sQ455_spl ),
inference(split_clause,[status(thm)],[f9996,f10000,f946,f7538]) ).
fof(f10004,definition,
! [X0] :
( sQ456_spl
<=> ( ~ line(X0)
| sK1_skl(X0,b2b3) = b3
| ~ incident(sK1_skl(X0,b2b3),a1a2) ) ),
introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition]) ).
fof(f10007,plain,
( ~ sQ402_spl
| ~ sQ124_spl
| sQ456_spl ),
inference(split_clause,[status(thm)],[f9997,f10004,f946,f7538]) ).
fof(f10009,plain,
( ~ sQ304_spl
| a1 = a3
| ~ incident(a3,s1) ),
inference(resolution,[status(thm)],[f4604,f69]) ).
fof(f10010,plain,
( ~ sQ304_spl
| a1 = p2
| ~ incident(p2,s1) ),
inference(resolution,[status(thm)],[f4604,f90]) ).
fof(f10012,plain,
! [X0] :
( ~ sQ304_spl
| ~ line(a3a1)
| ~ line(X0)
| a1 = sK1_skl(a3a1,X0)
| ~ incident(sK1_skl(a3a1,X0),s1) ),
inference(resolution,[status(thm)],[f4604,f137]) ).
fof(f10013,plain,
! [X0] :
( ~ sQ304_spl
| ~ line(X0)
| ~ line(a3a1)
| a1 = sK1_skl(X0,a3a1)
| ~ incident(sK1_skl(X0,a3a1),s1) ),
inference(resolution,[status(thm)],[f4604,f136]) ).
fof(f10014,plain,
( ~ sQ304_spl
| sQ10_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f10009,f3366,f177,f4603]) ).
fof(f10015,plain,
( ~ sQ304_spl
| sQ350_spl
| ~ sQ384_spl ),
inference(split_clause,[status(thm)],[f10010,f7203,f5979,f4603]) ).
fof(f10017,definition,
! [X0] :
( sQ457_spl
<=> ( ~ line(X0)
| a1 = sK1_skl(a3a1,X0)
| ~ incident(sK1_skl(a3a1,X0),s1) ) ),
introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).
fof(f10020,plain,
( ~ sQ304_spl
| ~ sQ115_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f10012,f10017,f866,f4603]) ).
fof(f10021,definition,
! [X0] :
( sQ458_spl
<=> ( ~ line(X0)
| a1 = sK1_skl(X0,a3a1)
| ~ incident(sK1_skl(X0,a3a1),s1) ) ),
introduced(definition,[new_symbols(definition,[sQ458_spl])],[split_symbol_definition]) ).
fof(f10024,plain,
( ~ sQ304_spl
| ~ sQ115_spl
| sQ458_spl ),
inference(split_clause,[status(thm)],[f10013,f10021,f866,f4603]) ).
fof(f10027,plain,
( ~ sQ260_spl
| a3 = p2
| ~ incident(p2,s3) ),
inference(resolution,[status(thm)],[f3515,f90]) ).
fof(f10028,plain,
( ~ sQ260_spl
| a3 = a1
| ~ incident(a1,s3) ),
inference(resolution,[status(thm)],[f3515,f70]) ).
fof(f10032,plain,
( ~ sQ260_spl
| sQ351_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f10027,f1797,f5984,f3514]) ).
fof(f10033,plain,
( ~ sQ260_spl
| sQ10_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f10028,f1229,f177,f3514]) ).
fof(f10041,plain,
( ~ sQ268_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f4129,f1137,f4027]) ).
fof(f10044,plain,
( ~ sQ374_spl
| incident(b2,a1a2) ),
inference(backward_demodulation,[status(thm)],[f6623,f65]) ).
fof(f10254,plain,
( sQ384_spl
| ~ sQ113_spl
| ~ incident(b1,s1) ),
inference(forward_demodulation,[status(thm)],[f857,f7205]) ).
fof(f10255,plain,
( sQ384_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10254,f83]) ).
fof(f10256,plain,
( sQ384_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f10255]) ).
fof(f10258,plain,
( ~ sQ281_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f4147,f6353,f4091]) ).
fof(f10279,plain,
( sQ268_spl
| ~ sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f9640,f4606,f4614,f4027]) ).
fof(f10285,plain,
( ~ sQ327_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f4913,f6349,f4900]) ).
fof(f10286,plain,
( ~ sQ350_spl
| ~ sQ113_spl
| b1 = a1 ),
inference(forward_demodulation,[status(thm)],[f857,f5980]) ).
fof(f10312,plain,
( ~ sQ429_spl
| incident(b1,a1a2) ),
inference(backward_demodulation,[status(thm)],[f9019,f65]) ).
fof(f10319,plain,
( ~ sQ429_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f10312,f1130,f9018]) ).
fof(f10430,plain,
( ~ sQ157_spl
| ~ sQ305_spl
| s = a3
| ~ incident(a3,s3) ),
inference(resolution,[status(thm)],[f7795,f1168]) ).
fof(f10439,plain,
( ~ sQ157_spl
| ~ sQ305_spl
| sQ415_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f10430,f535,f8013,f4606,f1167]) ).
fof(f10447,plain,
( sQ220_spl
| ~ sQ415_spl
| ~ incident(s,s2) ),
inference(backward_demodulation,[status(thm)],[f8014,f2476]) ).
fof(f10453,plain,
( sQ220_spl
| ~ sQ415_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10447,f78]) ).
fof(f10454,plain,
( sQ220_spl
| ~ sQ415_spl ),
inference(contradiction_clause,[status(thm)],[f10453]) ).
fof(f10571,plain,
( sQ405_spl
| ~ sQ150_spl
| ~ incident(b1,s1) ),
inference(forward_demodulation,[status(thm)],[f1134,f7642]) ).
fof(f10572,plain,
( sQ405_spl
| ~ sQ150_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10571,f83]) ).
fof(f10573,plain,
( sQ405_spl
| ~ sQ150_spl ),
inference(contradiction_clause,[status(thm)],[f10572]) ).
fof(f10601,plain,
( ~ sQ426_spl
| ~ sQ350_spl
| ~ sQ113_spl
| b1 = p3 ),
inference(forward_demodulation,[status(thm)],[f10286,f8996]) ).
fof(f10763,plain,
( ~ sQ222_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f2517,f6349,f2496]) ).
fof(f10772,plain,
( sQ291_spl
| ~ sQ222_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f8451,f501,f2496,f4352]) ).
fof(f10775,plain,
( ~ sQ7_spl
| ~ sQ307_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f9713,f4230,f4614,f162]) ).
fof(f10841,plain,
( ~ sQ246_spl
| ~ sQ3_spl
| b1 = a2
| ~ incident(a2,s1) ),
inference(resolution,[status(thm)],[f150,f3303]) ).
fof(f10850,plain,
( ~ sQ246_spl
| ~ sQ3_spl
| sQ432_spl
| ~ sQ251_spl ),
inference(split_clause,[status(thm)],[f10841,f3352,f9188,f149,f3302]) ).
fof(f10905,definition,
! [X0] :
( sQ468_spl
<=> ( X0 = b3b1
| ~ incident(b1,X0)
| ~ incident(b3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).
fof(f10906,plain,
! [X0] :
( ~ sQ468_spl
| X0 = b3b1
| ~ incident(b1,X0)
| ~ incident(b3,X0) ),
inference(component_clause,[status(thm)],[f10905]) ).
fof(f10914,definition,
! [X0,X1] :
( sQ470_spl
<=> ( ~ line(X0)
| X1 = b3b1
| sK1_skl(b3b1,X0) = b1
| ~ incident(b1,X1)
| ~ incident(sK1_skl(b3b1,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition]) ).
fof(f10918,definition,
! [X0,X1] :
( sQ471_spl
<=> ( ~ line(X0)
| X1 = b3b1
| sK1_skl(X0,b3b1) = b1
| ~ incident(b1,X1)
| ~ incident(sK1_skl(X0,b3b1),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).
fof(f10944,plain,
( ~ sQ3_spl
| ~ sQ247_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f3323,f3352,f3305,f149]) ).
fof(f11258,plain,
( sQ224_spl
| ~ sQ446_spl
| ~ incident(s,s2) ),
inference(forward_demodulation,[status(thm)],[f9724,f2506]) ).
fof(f11259,plain,
( sQ224_spl
| ~ sQ446_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11258,f78]) ).
fof(f11260,plain,
( sQ224_spl
| ~ sQ446_spl ),
inference(contradiction_clause,[status(thm)],[f11259]) ).
fof(f11442,plain,
( ~ sQ268_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f4131,f768,f4027]) ).
fof(f11443,plain,
( sQ112_spl
| ~ sQ268_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f4135,f1130,f4027,f853]) ).
fof(f11444,plain,
( ~ sQ152_spl
| ~ sQ150_spl
| b1 = a3 ),
inference(forward_demodulation,[status(thm)],[f1134,f1141]) ).
fof(f11445,plain,
( ~ sQ152_spl
| ~ sQ150_spl
| sQ396_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11444,f7486]) ).
fof(f11446,plain,
( ~ sQ152_spl
| ~ sQ150_spl
| sQ396_spl ),
inference(contradiction_clause,[status(thm)],[f11445]) ).
fof(f11512,plain,
( sQ203_spl
| ~ sQ217_spl
| b1b2 != b3b1 ),
inference(backward_demodulation,[status(thm)],[f2430,f2259]) ).
fof(f11518,plain,
( sQ203_spl
| ~ sQ217_spl
| ~ sQ254_spl ),
inference(split_clause,[status(thm)],[f11512,f3474,f2429,f2257]) ).
fof(f11519,plain,
( ~ sQ129_spl
| ~ sQ131_spl
| a1 = b2 ),
inference(forward_demodulation,[status(thm)],[f973,f966]) ).
fof(f11520,plain,
( ~ sQ129_spl
| ~ sQ131_spl
| sQ374_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11519,f6624]) ).
fof(f11521,plain,
( ~ sQ129_spl
| ~ sQ131_spl
| sQ374_spl ),
inference(contradiction_clause,[status(thm)],[f11520]) ).
fof(f11559,plain,
( sQ384_spl
| ~ sQ350_spl
| ~ incident(a1,s1) ),
inference(forward_demodulation,[status(thm)],[f5980,f7205]) ).
fof(f11560,plain,
( sQ384_spl
| ~ sQ350_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11559,f80]) ).
fof(f11561,plain,
( sQ384_spl
| ~ sQ350_spl ),
inference(contradiction_clause,[status(thm)],[f11560]) ).
fof(f11618,plain,
( sQ98_spl
| ~ sQ131_spl
| ~ incident(a1,a1a2) ),
inference(forward_demodulation,[status(thm)],[f973,f767]) ).
fof(f11619,plain,
( sQ98_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11618,f65]) ).
fof(f11620,plain,
( sQ98_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f11619]) ).
fof(f11765,plain,
! [X0] :
( X0 = b2b3
| b3 = p1
| ~ incident(p1,X0)
| ~ incident(b3,X0) ),
inference(resolution,[status(thm)],[f383,f74]) ).
fof(f11766,plain,
! [X0] :
( X0 = b2b3
| b2 = p1
| ~ incident(p1,X0)
| ~ incident(b2,X0) ),
inference(resolution,[status(thm)],[f383,f73]) ).
fof(f11767,plain,
! [X0,X1] :
( ~ line(b2b3)
| ~ line(X0)
| X1 = b2b3
| sK1_skl(b2b3,X0) = p1
| ~ incident(p1,X1)
| ~ incident(sK1_skl(b2b3,X0),X1) ),
inference(resolution,[status(thm)],[f383,f137]) ).
fof(f11768,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(b2b3)
| X1 = b2b3
| sK1_skl(X0,b2b3) = p1
| ~ incident(p1,X1)
| ~ incident(sK1_skl(X0,b2b3),X1) ),
inference(resolution,[status(thm)],[f383,f136]) ).
fof(f11779,definition,
! [X0] :
( sQ482_spl
<=> ( X0 = b2b3
| ~ incident(p1,X0)
| ~ incident(b3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ482_spl])],[split_symbol_definition]) ).
fof(f11780,plain,
! [X0] :
( ~ sQ482_spl
| X0 = b2b3
| ~ incident(p1,X0)
| ~ incident(b3,X0) ),
inference(component_clause,[status(thm)],[f11779]) ).
fof(f11782,plain,
( sQ127_spl
| sQ482_spl ),
inference(split_clause,[status(thm)],[f11765,f11779,f958]) ).
fof(f11783,definition,
! [X0] :
( sQ483_spl
<=> ( X0 = b2b3
| ~ incident(p1,X0)
| ~ incident(b2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ483_spl])],[split_symbol_definition]) ).
fof(f11784,plain,
! [X0] :
( ~ sQ483_spl
| X0 = b2b3
| ~ incident(p1,X0)
| ~ incident(b2,X0) ),
inference(component_clause,[status(thm)],[f11783]) ).
fof(f11786,plain,
( sQ129_spl
| sQ483_spl ),
inference(split_clause,[status(thm)],[f11766,f11783,f965]) ).
fof(f11787,definition,
! [X0,X1] :
( sQ484_spl
<=> ( ~ line(X0)
| X1 = b2b3
| sK1_skl(b2b3,X0) = p1
| ~ incident(p1,X1)
| ~ incident(sK1_skl(b2b3,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ484_spl])],[split_symbol_definition]) ).
fof(f11790,plain,
( ~ sQ124_spl
| sQ484_spl ),
inference(split_clause,[status(thm)],[f11767,f11787,f946]) ).
fof(f11791,definition,
! [X0,X1] :
( sQ485_spl
<=> ( ~ line(X0)
| X1 = b2b3
| sK1_skl(X0,b2b3) = p1
| ~ incident(p1,X1)
| ~ incident(sK1_skl(X0,b2b3),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition]) ).
fof(f11794,plain,
( ~ sQ124_spl
| sQ485_spl ),
inference(split_clause,[status(thm)],[f11768,f11791,f946]) ).
fof(f11803,plain,
! [X0] :
( X0 = a2a3
| a2 = p1
| ~ incident(p1,X0)
| ~ incident(a2,X0) ),
inference(resolution,[status(thm)],[f384,f67]) ).
fof(f11804,plain,
! [X0] :
( ~ sQ5_spl
| X0 = a2a3
| b1 = p1
| ~ incident(p1,X0)
| ~ incident(b1,X0) ),
inference(resolution,[status(thm)],[f384,f157]) ).
fof(f11805,plain,
! [X0,X1] :
( ~ line(a2a3)
| ~ line(X0)
| X1 = a2a3
| sK1_skl(a2a3,X0) = p1
| ~ incident(p1,X1)
| ~ incident(sK1_skl(a2a3,X0),X1) ),
inference(resolution,[status(thm)],[f384,f137]) ).
fof(f11806,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(a2a3)
| X1 = a2a3
| sK1_skl(X0,a2a3) = p1
| ~ incident(p1,X1)
| ~ incident(sK1_skl(X0,a2a3),X1) ),
inference(resolution,[status(thm)],[f384,f136]) ).
fof(f11821,definition,
! [X0] :
( sQ488_spl
<=> ( X0 = a2a3
| ~ incident(p1,X0)
| ~ incident(a2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition]) ).
fof(f11822,plain,
! [X0] :
( ~ sQ488_spl
| X0 = a2a3
| ~ incident(p1,X0)
| ~ incident(a2,X0) ),
inference(component_clause,[status(thm)],[f11821]) ).
fof(f11824,plain,
( sQ420_spl
| sQ488_spl ),
inference(split_clause,[status(thm)],[f11803,f11821,f8860]) ).
fof(f11825,definition,
! [X0] :
( sQ489_spl
<=> ( X0 = a2a3
| ~ incident(p1,X0)
| ~ incident(b1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition]) ).
fof(f11828,plain,
( ~ sQ5_spl
| sQ379_spl
| sQ489_spl ),
inference(split_clause,[status(thm)],[f11804,f11825,f7018,f156]) ).
fof(f11829,definition,
! [X0,X1] :
( sQ490_spl
<=> ( ~ line(X0)
| X1 = a2a3
| sK1_skl(a2a3,X0) = p1
| ~ incident(p1,X1)
| ~ incident(sK1_skl(a2a3,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ490_spl])],[split_symbol_definition]) ).
fof(f11832,plain,
( ~ sQ135_spl
| sQ490_spl ),
inference(split_clause,[status(thm)],[f11805,f11829,f1025]) ).
fof(f11833,definition,
! [X0,X1] :
( sQ491_spl
<=> ( ~ line(X0)
| X1 = a2a3
| sK1_skl(X0,a2a3) = p1
| ~ incident(p1,X1)
| ~ incident(sK1_skl(X0,a2a3),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ491_spl])],[split_symbol_definition]) ).
fof(f11836,plain,
( ~ sQ135_spl
| sQ491_spl ),
inference(split_clause,[status(thm)],[f11806,f11833,f1025]) ).
fof(f11845,plain,
! [X0] :
( X0 = b1b2
| b2 = p3
| ~ incident(p3,X0)
| ~ incident(b2,X0) ),
inference(resolution,[status(thm)],[f385,f72]) ).
fof(f11846,plain,
! [X0] :
( X0 = b1b2
| b1 = p3
| ~ incident(p3,X0)
| ~ incident(b1,X0) ),
inference(resolution,[status(thm)],[f385,f71]) ).
fof(f11847,plain,
! [X0,X1] :
( ~ line(b1b2)
| ~ line(X0)
| X1 = b1b2
| sK1_skl(b1b2,X0) = p3
| ~ incident(p3,X1)
| ~ incident(sK1_skl(b1b2,X0),X1) ),
inference(resolution,[status(thm)],[f385,f137]) ).
fof(f11848,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(b1b2)
| X1 = b1b2
| sK1_skl(X0,b1b2) = p3
| ~ incident(p3,X1)
| ~ incident(sK1_skl(X0,b1b2),X1) ),
inference(resolution,[status(thm)],[f385,f136]) ).
fof(f11863,definition,
! [X0] :
( sQ494_spl
<=> ( X0 = b1b2
| ~ incident(p3,X0)
| ~ incident(b2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ494_spl])],[split_symbol_definition]) ).
fof(f11864,plain,
! [X0] :
( ~ sQ494_spl
| X0 = b1b2
| ~ incident(p3,X0)
| ~ incident(b2,X0) ),
inference(component_clause,[status(thm)],[f11863]) ).
fof(f11866,plain,
( sQ148_spl
| sQ494_spl ),
inference(split_clause,[status(thm)],[f11845,f11863,f1126]) ).
fof(f11867,definition,
! [X0] :
( sQ495_spl
<=> ( X0 = b1b2
| ~ incident(p3,X0)
| ~ incident(b1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ495_spl])],[split_symbol_definition]) ).
fof(f11870,plain,
( sQ150_spl
| sQ495_spl ),
inference(split_clause,[status(thm)],[f11846,f11867,f1133]) ).
fof(f11871,definition,
! [X0,X1] :
( sQ496_spl
<=> ( ~ line(X0)
| X1 = b1b2
| sK1_skl(b1b2,X0) = p3
| ~ incident(p3,X1)
| ~ incident(sK1_skl(b1b2,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ496_spl])],[split_symbol_definition]) ).
fof(f11874,plain,
( ~ sQ145_spl
| sQ496_spl ),
inference(split_clause,[status(thm)],[f11847,f11871,f1114]) ).
fof(f11875,definition,
! [X0,X1] :
( sQ497_spl
<=> ( ~ line(X0)
| X1 = b1b2
| sK1_skl(X0,b1b2) = p3
| ~ incident(p3,X1)
| ~ incident(sK1_skl(X0,b1b2),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ497_spl])],[split_symbol_definition]) ).
fof(f11878,plain,
( ~ sQ145_spl
| sQ497_spl ),
inference(split_clause,[status(thm)],[f11848,f11875,f1114]) ).
fof(f11894,plain,
( sQ186_spl
| ~ sQ417_spl
| ~ incident(a3,s3) ),
inference(backward_demodulation,[status(thm)],[f8758,f1389]) ).
fof(f11904,plain,
( sQ186_spl
| ~ sQ417_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f11894,f535,f8757,f1387]) ).
fof(f11977,plain,
( ~ sQ209_spl
| b2 = b3
| ~ incident(b3,s2) ),
inference(resolution,[status(thm)],[f2392,f74]) ).
fof(f11979,plain,
! [X0] :
( ~ sQ209_spl
| ~ line(b2b3)
| ~ line(X0)
| b2 = sK1_skl(b2b3,X0)
| ~ incident(sK1_skl(b2b3,X0),s2) ),
inference(resolution,[status(thm)],[f2392,f137]) ).
fof(f11980,plain,
! [X0] :
( ~ sQ209_spl
| ~ line(X0)
| ~ line(b2b3)
| b2 = sK1_skl(X0,b2b3)
| ~ incident(sK1_skl(X0,b2b3),s2) ),
inference(resolution,[status(thm)],[f2392,f136]) ).
fof(f11982,plain,
( ~ sQ209_spl
| sQ12_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f11977,f2504,f185,f2391]) ).
fof(f11984,plain,
( ~ sQ209_spl
| ~ sQ124_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f11979,f9934,f946,f2391]) ).
fof(f11985,plain,
( ~ sQ209_spl
| ~ sQ124_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f11980,f9938,f946,f2391]) ).
fof(f11986,plain,
( ~ sQ210_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f2457,f2504,f2394]) ).
fof(f11987,plain,
( ~ sQ210_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f2458,f6395,f2394]) ).
fof(f12034,plain,
! [X0] :
( X0 = a1a2
| a1 = p3
| ~ incident(p3,X0)
| ~ incident(a1,X0) ),
inference(resolution,[status(thm)],[f386,f65]) ).
fof(f12035,plain,
! [X0] :
( ~ sQ7_spl
| X0 = a1a2
| b3 = p3
| ~ incident(p3,X0)
| ~ incident(b3,X0) ),
inference(resolution,[status(thm)],[f386,f163]) ).
fof(f12036,plain,
! [X0] :
( X0 = a1a2
| a2 = p3
| ~ incident(p3,X0)
| ~ incident(a2,X0) ),
inference(resolution,[status(thm)],[f386,f66]) ).
fof(f12037,plain,
! [X0,X1] :
( ~ line(a1a2)
| ~ line(X0)
| X1 = a1a2
| sK1_skl(a1a2,X0) = p3
| ~ incident(p3,X1)
| ~ incident(sK1_skl(a1a2,X0),X1) ),
inference(resolution,[status(thm)],[f386,f137]) ).
fof(f12038,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(a1a2)
| X1 = a1a2
| sK1_skl(X0,a1a2) = p3
| ~ incident(p3,X1)
| ~ incident(sK1_skl(X0,a1a2),X1) ),
inference(resolution,[status(thm)],[f386,f136]) ).
fof(f12049,definition,
! [X0] :
( sQ499_spl
<=> ( X0 = a1a2
| ~ incident(p3,X0)
| ~ incident(a1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ499_spl])],[split_symbol_definition]) ).
fof(f12052,plain,
( sQ426_spl
| sQ499_spl ),
inference(split_clause,[status(thm)],[f12034,f12049,f8995]) ).
fof(f12053,definition,
! [X0] :
( sQ500_spl
<=> ( X0 = a1a2
| ~ incident(p3,X0)
| ~ incident(b3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ500_spl])],[split_symbol_definition]) ).
fof(f12056,plain,
( ~ sQ7_spl
| sQ436_spl
| sQ500_spl ),
inference(split_clause,[status(thm)],[f12035,f12053,f9214,f162]) ).
fof(f12057,definition,
! [X0] :
( sQ501_spl
<=> ( X0 = a1a2
| ~ incident(p3,X0)
| ~ incident(a2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition]) ).
fof(f12058,plain,
! [X0] :
( ~ sQ501_spl
| X0 = a1a2
| ~ incident(p3,X0)
| ~ incident(a2,X0) ),
inference(component_clause,[status(thm)],[f12057]) ).
fof(f12060,plain,
( sQ435_spl
| sQ501_spl ),
inference(split_clause,[status(thm)],[f12036,f12057,f9210]) ).
fof(f12061,definition,
! [X0,X1] :
( sQ502_spl
<=> ( ~ line(X0)
| X1 = a1a2
| sK1_skl(a1a2,X0) = p3
| ~ incident(p3,X1)
| ~ incident(sK1_skl(a1a2,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).
fof(f12064,plain,
( ~ sQ154_spl
| sQ502_spl ),
inference(split_clause,[status(thm)],[f12037,f12061,f1150]) ).
fof(f12065,definition,
! [X0,X1] :
( sQ503_spl
<=> ( ~ line(X0)
| X1 = a1a2
| sK1_skl(X0,a1a2) = p3
| ~ incident(p3,X1)
| ~ incident(sK1_skl(X0,a1a2),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ503_spl])],[split_symbol_definition]) ).
fof(f12068,plain,
( ~ sQ154_spl
| sQ503_spl ),
inference(split_clause,[status(thm)],[f12038,f12065,f1150]) ).
fof(f12098,plain,
( ~ sQ436_spl
| incident(b3,b1b2) ),
inference(backward_demodulation,[status(thm)],[f9215,f87]) ).
fof(f12108,plain,
( ~ sQ436_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f12098,f2164,f9214]) ).
fof(f12147,plain,
( ~ sQ176_spl
| ~ sQ426_spl
| a1 = sK1_skl(a1a2,b1b2) ),
inference(forward_demodulation,[status(thm)],[f8996,f1329]) ).
fof(f12150,plain,
( ~ sQ176_spl
| ~ sQ426_spl
| incident(a1,b1b2)
| ~ line(a1a2)
| ~ line(b1b2) ),
inference(paramodulation,[status(thm)],[f12147,f136]) ).
fof(f12153,plain,
( ~ sQ176_spl
| ~ sQ426_spl
| sQ373_spl
| ~ sQ154_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f12150,f1114,f1150,f6619,f8995,f1328]) ).
fof(f12161,plain,
! [X0] :
( X0 = s2
| a2 = s
| ~ incident(s,X0)
| ~ incident(a2,X0) ),
inference(resolution,[status(thm)],[f388,f81]) ).
fof(f12162,plain,
! [X0] :
( X0 = s2
| b2 = s
| ~ incident(s,X0)
| ~ incident(b2,X0) ),
inference(resolution,[status(thm)],[f388,f84]) ).
fof(f12163,plain,
! [X0,X1] :
( ~ line(s2)
| ~ line(X0)
| X1 = s2
| sK1_skl(s2,X0) = s
| ~ incident(s,X1)
| ~ incident(sK1_skl(s2,X0),X1) ),
inference(resolution,[status(thm)],[f388,f137]) ).
fof(f12164,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(s2)
| X1 = s2
| sK1_skl(X0,s2) = s
| ~ incident(s,X1)
| ~ incident(sK1_skl(X0,s2),X1) ),
inference(resolution,[status(thm)],[f388,f136]) ).
fof(f12173,definition,
! [X0] :
( sQ509_spl
<=> ( X0 = s2
| ~ incident(s,X0)
| ~ incident(a2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).
fof(f12174,plain,
! [X0] :
( ~ sQ509_spl
| X0 = s2
| ~ incident(s,X0)
| ~ incident(a2,X0) ),
inference(component_clause,[status(thm)],[f12173]) ).
fof(f12176,plain,
( sQ175_spl
| sQ509_spl ),
inference(split_clause,[status(thm)],[f12161,f12173,f1291]) ).
fof(f12177,definition,
! [X0] :
( sQ510_spl
<=> ( X0 = s2
| ~ incident(s,X0)
| ~ incident(b2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).
fof(f12178,plain,
! [X0] :
( ~ sQ510_spl
| X0 = s2
| ~ incident(s,X0)
| ~ incident(b2,X0) ),
inference(component_clause,[status(thm)],[f12177]) ).
fof(f12180,plain,
( sQ173_spl
| sQ510_spl ),
inference(split_clause,[status(thm)],[f12162,f12177,f1284]) ).
fof(f12181,definition,
! [X0,X1] :
( sQ511_spl
<=> ( ~ line(X0)
| X1 = s2
| sK1_skl(s2,X0) = s
| ~ incident(s,X1)
| ~ incident(sK1_skl(s2,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f12184,plain,
( ~ sQ170_spl
| sQ511_spl ),
inference(split_clause,[status(thm)],[f12163,f12181,f1272]) ).
fof(f12185,definition,
! [X0,X1] :
( sQ512_spl
<=> ( ~ line(X0)
| X1 = s2
| sK1_skl(X0,s2) = s
| ~ incident(s,X1)
| ~ incident(sK1_skl(X0,s2),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).
fof(f12188,plain,
( ~ sQ170_spl
| sQ512_spl ),
inference(split_clause,[status(thm)],[f12164,f12185,f1272]) ).
fof(f12204,plain,
( ~ sQ173_spl
| incident(s,b1b2) ),
inference(backward_demodulation,[status(thm)],[f1285,f72]) ).
fof(f12208,plain,
( sQ172_spl
| ~ sQ173_spl
| ~ incident(s,s3) ),
inference(backward_demodulation,[status(thm)],[f1285,f1283]) ).
fof(f12211,plain,
( sQ11_spl
| ~ sQ173_spl
| b1 != s ),
inference(backward_demodulation,[status(thm)],[f1285,f183]) ).
fof(f12213,plain,
( sQ172_spl
| ~ sQ173_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f12208,f462,f1284,f1281]) ).
fof(f12255,plain,
! [X0] :
( X0 = s3
| a3 = b3
| ~ incident(b3,X0)
| ~ incident(a3,X0) ),
inference(resolution,[status(thm)],[f390,f82]) ).
fof(f12256,plain,
! [X0,X1] :
( ~ line(s3)
| ~ line(X0)
| X1 = s3
| sK1_skl(s3,X0) = b3
| ~ incident(b3,X1)
| ~ incident(sK1_skl(s3,X0),X1) ),
inference(resolution,[status(thm)],[f390,f137]) ).
fof(f12257,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(s3)
| X1 = s3
| sK1_skl(X0,s3) = b3
| ~ incident(b3,X1)
| ~ incident(sK1_skl(X0,s3),X1) ),
inference(resolution,[status(thm)],[f390,f136]) ).
fof(f12258,plain,
! [X0] :
( X0 = s3
| s = b3
| ~ incident(b3,X0)
| ~ incident(s,X0) ),
inference(resolution,[status(thm)],[f390,f79]) ).
fof(f12271,definition,
! [X0] :
( sQ515_spl
<=> ( X0 = s3
| ~ incident(b3,X0)
| ~ incident(a3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ515_spl])],[split_symbol_definition]) ).
fof(f12272,plain,
! [X0] :
( ~ sQ515_spl
| X0 = s3
| ~ incident(b3,X0)
| ~ incident(a3,X0) ),
inference(component_clause,[status(thm)],[f12271]) ).
fof(f12274,plain,
( sQ229_spl
| sQ515_spl ),
inference(split_clause,[status(thm)],[f12255,f12271,f2793]) ).
fof(f12275,definition,
! [X0,X1] :
( sQ516_spl
<=> ( ~ line(X0)
| X1 = s3
| sK1_skl(s3,X0) = b3
| ~ incident(b3,X1)
| ~ incident(sK1_skl(s3,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f12278,plain,
( ~ sQ196_spl
| sQ516_spl ),
inference(split_clause,[status(thm)],[f12256,f12275,f2048]) ).
fof(f12279,definition,
! [X0,X1] :
( sQ517_spl
<=> ( ~ line(X0)
| X1 = s3
| sK1_skl(X0,s3) = b3
| ~ incident(b3,X1)
| ~ incident(sK1_skl(X0,s3),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).
fof(f12282,plain,
( ~ sQ196_spl
| sQ517_spl ),
inference(split_clause,[status(thm)],[f12257,f12279,f2048]) ).
fof(f12283,definition,
! [X0] :
( sQ518_spl
<=> ( X0 = s3
| ~ incident(b3,X0)
| ~ incident(s,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition]) ).
fof(f12284,plain,
! [X0] :
( ~ sQ518_spl
| X0 = s3
| ~ incident(b3,X0)
| ~ incident(s,X0) ),
inference(component_clause,[status(thm)],[f12283]) ).
fof(f12286,plain,
( sQ446_spl
| sQ518_spl ),
inference(split_clause,[status(thm)],[f12258,f12283,f9723]) ).
fof(f12294,plain,
! [X0] :
( X0 = b3b1
| p2 = b3
| ~ incident(b3,X0)
| ~ incident(p2,X0) ),
inference(resolution,[status(thm)],[f391,f91]) ).
fof(f12297,plain,
! [X0] :
( X0 = b3b1
| b1 = b3
| ~ incident(b3,X0)
| ~ incident(b1,X0) ),
inference(resolution,[status(thm)],[f391,f76]) ).
fof(f12298,plain,
! [X0,X1] :
( ~ line(b3b1)
| ~ line(X0)
| X1 = b3b1
| sK1_skl(b3b1,X0) = b3
| ~ incident(b3,X1)
| ~ incident(sK1_skl(b3b1,X0),X1) ),
inference(resolution,[status(thm)],[f391,f137]) ).
fof(f12299,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(b3b1)
| X1 = b3b1
| sK1_skl(X0,b3b1) = b3
| ~ incident(b3,X1)
| ~ incident(sK1_skl(X0,b3b1),X1) ),
inference(resolution,[status(thm)],[f391,f136]) ).
fof(f12307,definition,
! [X0] :
( sQ519_spl
<=> ( X0 = b3b1
| ~ incident(b3,X0)
| ~ incident(p2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ519_spl])],[split_symbol_definition]) ).
fof(f12308,plain,
! [X0] :
( ~ sQ519_spl
| X0 = b3b1
| ~ incident(b3,X0)
| ~ incident(p2,X0) ),
inference(component_clause,[status(thm)],[f12307]) ).
fof(f12310,plain,
( sQ111_spl
| sQ519_spl ),
inference(split_clause,[status(thm)],[f12294,f12307,f849]) ).
fof(f12316,plain,
( sQ13_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f12297,f10905,f189]) ).
fof(f12317,definition,
! [X0,X1] :
( sQ521_spl
<=> ( ~ line(X0)
| X1 = b3b1
| sK1_skl(b3b1,X0) = b3
| ~ incident(b3,X1)
| ~ incident(sK1_skl(b3b1,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ521_spl])],[split_symbol_definition]) ).
fof(f12320,plain,
( ~ sQ108_spl
| sQ521_spl ),
inference(split_clause,[status(thm)],[f12298,f12317,f837]) ).
fof(f12321,definition,
! [X0,X1] :
( sQ522_spl
<=> ( ~ line(X0)
| X1 = b3b1
| sK1_skl(X0,b3b1) = b3
| ~ incident(b3,X1)
| ~ incident(sK1_skl(X0,b3b1),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).
fof(f12324,plain,
( ~ sQ108_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f12299,f12321,f837]) ).
fof(f12336,plain,
( ~ sQ301_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f4670,f768,f4582]) ).
fof(f12340,plain,
! [X0] :
( X0 = b2b3
| b2 = b3
| ~ incident(b3,X0)
| ~ incident(b2,X0) ),
inference(resolution,[status(thm)],[f392,f73]) ).
fof(f12344,plain,
! [X0,X1] :
( ~ line(b2b3)
| ~ line(X0)
| X1 = b2b3
| sK1_skl(b2b3,X0) = b3
| ~ incident(b3,X1)
| ~ incident(sK1_skl(b2b3,X0),X1) ),
inference(resolution,[status(thm)],[f392,f137]) ).
fof(f12345,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(b2b3)
| X1 = b2b3
| sK1_skl(X0,b2b3) = b3
| ~ incident(b3,X1)
| ~ incident(sK1_skl(X0,b2b3),X1) ),
inference(resolution,[status(thm)],[f392,f136]) ).
fof(f12353,definition,
! [X0] :
( sQ524_spl
<=> ( X0 = b2b3
| ~ incident(b3,X0)
| ~ incident(b2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ524_spl])],[split_symbol_definition]) ).
fof(f12354,plain,
! [X0] :
( ~ sQ524_spl
| X0 = b2b3
| ~ incident(b3,X0)
| ~ incident(b2,X0) ),
inference(component_clause,[status(thm)],[f12353]) ).
fof(f12356,plain,
( sQ12_spl
| sQ524_spl ),
inference(split_clause,[status(thm)],[f12340,f12353,f185]) ).
fof(f12363,definition,
! [X0,X1] :
( sQ526_spl
<=> ( ~ line(X0)
| X1 = b2b3
| sK1_skl(b2b3,X0) = b3
| ~ incident(b3,X1)
| ~ incident(sK1_skl(b2b3,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ526_spl])],[split_symbol_definition]) ).
fof(f12366,plain,
( ~ sQ124_spl
| sQ526_spl ),
inference(split_clause,[status(thm)],[f12344,f12363,f946]) ).
fof(f12367,definition,
! [X0,X1] :
( sQ527_spl
<=> ( ~ line(X0)
| X1 = b2b3
| sK1_skl(X0,b2b3) = b3
| ~ incident(b3,X1)
| ~ incident(sK1_skl(X0,b2b3),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ527_spl])],[split_symbol_definition]) ).
fof(f12370,plain,
( ~ sQ124_spl
| sQ527_spl ),
inference(split_clause,[status(thm)],[f12345,f12367,f946]) ).
fof(f12380,plain,
! [X0] :
( X0 = s2
| a2 = b2
| ~ incident(b2,X0)
| ~ incident(a2,X0) ),
inference(resolution,[status(thm)],[f393,f81]) ).
fof(f12381,plain,
! [X0,X1] :
( ~ line(s2)
| ~ line(X0)
| X1 = s2
| sK1_skl(s2,X0) = b2
| ~ incident(b2,X1)
| ~ incident(sK1_skl(s2,X0),X1) ),
inference(resolution,[status(thm)],[f393,f137]) ).
fof(f12382,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(s2)
| X1 = s2
| sK1_skl(X0,s2) = b2
| ~ incident(b2,X1)
| ~ incident(sK1_skl(X0,s2),X1) ),
inference(resolution,[status(thm)],[f393,f136]) ).
fof(f12395,definition,
! [X0] :
( sQ529_spl
<=> ( X0 = s2
| ~ incident(b2,X0)
| ~ incident(a2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ529_spl])],[split_symbol_definition]) ).
fof(f12396,plain,
! [X0] :
( ~ sQ529_spl
| X0 = s2
| ~ incident(b2,X0)
| ~ incident(a2,X0) ),
inference(component_clause,[status(thm)],[f12395]) ).
fof(f12398,definition,
( sQ530_spl
<=> a2 = b2 ),
introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition]) ).
fof(f12399,plain,
( ~ sQ530_spl
| a2 = b2 ),
inference(component_clause,[status(thm)],[f12398]) ).
fof(f12401,plain,
( sQ530_spl
| sQ529_spl ),
inference(split_clause,[status(thm)],[f12380,f12395,f12398]) ).
fof(f12402,definition,
! [X0,X1] :
( sQ531_spl
<=> ( ~ line(X0)
| X1 = s2
| sK1_skl(s2,X0) = b2
| ~ incident(b2,X1)
| ~ incident(sK1_skl(s2,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ531_spl])],[split_symbol_definition]) ).
fof(f12405,plain,
( ~ sQ170_spl
| sQ531_spl ),
inference(split_clause,[status(thm)],[f12381,f12402,f1272]) ).
fof(f12406,definition,
! [X0,X1] :
( sQ532_spl
<=> ( ~ line(X0)
| X1 = s2
| sK1_skl(X0,s2) = b2
| ~ incident(b2,X1)
| ~ incident(sK1_skl(X0,s2),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ532_spl])],[split_symbol_definition]) ).
fof(f12409,plain,
( ~ sQ170_spl
| sQ532_spl ),
inference(split_clause,[status(thm)],[f12382,f12406,f1272]) ).
fof(f12419,plain,
( ~ sQ4_spl
| ~ sQ211_spl
| b2 = a3
| ~ incident(a3,s2) ),
inference(resolution,[status(thm)],[f2400,f153]) ).
fof(f12425,definition,
( sQ533_spl
<=> b2 = a3 ),
introduced(definition,[new_symbols(definition,[sQ533_spl])],[split_symbol_definition]) ).
fof(f12426,plain,
( ~ sQ533_spl
| b2 = a3 ),
inference(component_clause,[status(thm)],[f12425]) ).
fof(f12428,plain,
( ~ sQ4_spl
| ~ sQ211_spl
| sQ533_spl
| ~ sQ220_spl ),
inference(split_clause,[status(thm)],[f12419,f2474,f12425,f2399,f152]) ).
fof(f12442,plain,
( ~ sQ368_spl
| a1 = s
| ~ incident(a1,s2) ),
inference(resolution,[status(thm)],[f6445,f80]) ).
fof(f12443,plain,
( ~ sQ368_spl
| b1 = s
| ~ incident(b1,s2) ),
inference(resolution,[status(thm)],[f6445,f83]) ).
fof(f12444,plain,
! [X0] :
( ~ sQ368_spl
| ~ line(s1)
| ~ line(X0)
| sK1_skl(s1,X0) = s
| ~ incident(sK1_skl(s1,X0),s2) ),
inference(resolution,[status(thm)],[f6445,f137]) ).
fof(f12445,plain,
! [X0] :
( ~ sQ368_spl
| ~ line(X0)
| ~ line(s1)
| sK1_skl(X0,s1) = s
| ~ incident(sK1_skl(X0,s1),s2) ),
inference(resolution,[status(thm)],[f6445,f136]) ).
fof(f12447,plain,
( ~ sQ368_spl
| sQ168_spl
| ~ sQ392_spl ),
inference(split_clause,[status(thm)],[f12442,f7373,f1232,f6444]) ).
fof(f12448,plain,
( ~ sQ368_spl
| sQ166_spl
| ~ sQ359_spl ),
inference(split_clause,[status(thm)],[f12443,f6349,f1225,f6444]) ).
fof(f12449,definition,
! [X0] :
( sQ534_spl
<=> ( ~ line(X0)
| sK1_skl(s1,X0) = s
| ~ incident(sK1_skl(s1,X0),s2) ) ),
introduced(definition,[new_symbols(definition,[sQ534_spl])],[split_symbol_definition]) ).
fof(f12452,plain,
( ~ sQ368_spl
| ~ sQ163_spl
| sQ534_spl ),
inference(split_clause,[status(thm)],[f12444,f12449,f1213,f6444]) ).
fof(f12453,definition,
! [X0] :
( sQ535_spl
<=> ( ~ line(X0)
| sK1_skl(X0,s1) = s
| ~ incident(sK1_skl(X0,s1),s2) ) ),
introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).
fof(f12456,plain,
( ~ sQ368_spl
| ~ sQ163_spl
| sQ535_spl ),
inference(split_clause,[status(thm)],[f12445,f12453,f1213,f6444]) ).
fof(f12478,plain,
( ~ sQ269_spl
| a3 = p1
| ~ incident(p1,a3a1) ),
inference(resolution,[status(thm)],[f4032,f88]) ).
fof(f12479,plain,
( ~ sQ269_spl
| a3 = a3
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[f4032,f68]) ).
fof(f12480,plain,
( ~ sQ269_spl
| a3 = a2
| ~ incident(a2,a3a1) ),
inference(resolution,[status(thm)],[f4032,f67]) ).
fof(f12482,plain,
! [X0] :
( ~ sQ269_spl
| ~ line(a2a3)
| ~ line(X0)
| a3 = sK1_skl(a2a3,X0)
| ~ incident(sK1_skl(a2a3,X0),a3a1) ),
inference(resolution,[status(thm)],[f4032,f137]) ).
fof(f12483,plain,
! [X0] :
( ~ sQ269_spl
| ~ line(X0)
| ~ line(a2a3)
| a3 = sK1_skl(X0,a2a3)
| ~ incident(sK1_skl(X0,a2a3),a3a1) ),
inference(resolution,[status(thm)],[f4032,f136]) ).
fof(f12484,plain,
( ~ sQ269_spl
| sQ417_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f12478,f4348,f8757,f4031]) ).
fof(f12485,plain,
( ~ sQ269_spl
| sQ51_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f12479,f539,f531,f4031]) ).
fof(f12486,plain,
( ~ sQ269_spl
| sQ9_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f12480,f987,f173,f4031]) ).
fof(f12488,definition,
! [X0] :
( sQ536_spl
<=> ( ~ line(X0)
| a3 = sK1_skl(a2a3,X0)
| ~ incident(sK1_skl(a2a3,X0),a3a1) ) ),
introduced(definition,[new_symbols(definition,[sQ536_spl])],[split_symbol_definition]) ).
fof(f12491,plain,
( ~ sQ269_spl
| ~ sQ135_spl
| sQ536_spl ),
inference(split_clause,[status(thm)],[f12482,f12488,f1025,f4031]) ).
fof(f12492,definition,
! [X0] :
( sQ537_spl
<=> ( ~ line(X0)
| a3 = sK1_skl(X0,a2a3)
| ~ incident(sK1_skl(X0,a2a3),a3a1) ) ),
introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).
fof(f12495,plain,
( ~ sQ269_spl
| ~ sQ135_spl
| sQ537_spl ),
inference(split_clause,[status(thm)],[f12483,f12492,f1025,f4031]) ).
fof(f12530,plain,
! [X0,X1] :
( ~ line(b2b3)
| ~ line(X0)
| X1 = b2b3
| sK1_skl(b2b3,X0) = b2
| ~ incident(b2,X1)
| ~ incident(sK1_skl(b2b3,X0),X1) ),
inference(resolution,[status(thm)],[f394,f137]) ).
fof(f12531,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(b2b3)
| X1 = b2b3
| sK1_skl(X0,b2b3) = b2
| ~ incident(b2,X1)
| ~ incident(sK1_skl(X0,b2b3),X1) ),
inference(resolution,[status(thm)],[f394,f136]) ).
fof(f12545,definition,
! [X0,X1] :
( sQ539_spl
<=> ( ~ line(X0)
| X1 = b2b3
| sK1_skl(b2b3,X0) = b2
| ~ incident(b2,X1)
| ~ incident(sK1_skl(b2b3,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ539_spl])],[split_symbol_definition]) ).
fof(f12548,plain,
( ~ sQ124_spl
| sQ539_spl ),
inference(split_clause,[status(thm)],[f12530,f12545,f946]) ).
fof(f12549,definition,
! [X0,X1] :
( sQ540_spl
<=> ( ~ line(X0)
| X1 = b2b3
| sK1_skl(X0,b2b3) = b2
| ~ incident(b2,X1)
| ~ incident(sK1_skl(X0,b2b3),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).
fof(f12552,plain,
( ~ sQ124_spl
| sQ540_spl ),
inference(split_clause,[status(thm)],[f12531,f12549,f946]) ).
fof(f12563,plain,
! [X0] :
( X0 = b1b2
| b1 = b2
| ~ incident(b2,X0)
| ~ incident(b1,X0) ),
inference(resolution,[status(thm)],[f395,f71]) ).
fof(f12564,plain,
! [X0,X1] :
( ~ line(b1b2)
| ~ line(X0)
| X1 = b1b2
| sK1_skl(b1b2,X0) = b2
| ~ incident(b2,X1)
| ~ incident(sK1_skl(b1b2,X0),X1) ),
inference(resolution,[status(thm)],[f395,f137]) ).
fof(f12565,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(b1b2)
| X1 = b1b2
| sK1_skl(X0,b1b2) = b2
| ~ incident(b2,X1)
| ~ incident(sK1_skl(X0,b1b2),X1) ),
inference(resolution,[status(thm)],[f395,f136]) ).
fof(f12585,definition,
! [X0] :
( sQ544_spl
<=> ( X0 = b1b2
| ~ incident(b2,X0)
| ~ incident(b1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).
fof(f12586,plain,
! [X0] :
( ~ sQ544_spl
| X0 = b1b2
| ~ incident(b2,X0)
| ~ incident(b1,X0) ),
inference(component_clause,[status(thm)],[f12585]) ).
fof(f12588,plain,
( sQ11_spl
| sQ544_spl ),
inference(split_clause,[status(thm)],[f12563,f12585,f181]) ).
fof(f12589,definition,
! [X0,X1] :
( sQ545_spl
<=> ( ~ line(X0)
| X1 = b1b2
| sK1_skl(b1b2,X0) = b2
| ~ incident(b2,X1)
| ~ incident(sK1_skl(b1b2,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ545_spl])],[split_symbol_definition]) ).
fof(f12592,plain,
( ~ sQ145_spl
| sQ545_spl ),
inference(split_clause,[status(thm)],[f12564,f12589,f1114]) ).
fof(f12593,definition,
! [X0,X1] :
( sQ546_spl
<=> ( ~ line(X0)
| X1 = b1b2
| sK1_skl(X0,b1b2) = b2
| ~ incident(b2,X1)
| ~ incident(sK1_skl(X0,b1b2),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ546_spl])],[split_symbol_definition]) ).
fof(f12596,plain,
( ~ sQ145_spl
| sQ546_spl ),
inference(split_clause,[status(thm)],[f12565,f12593,f1114]) ).
fof(f12612,plain,
( ~ sQ533_spl
| incident(b2,s3) ),
inference(backward_demodulation,[status(thm)],[f12426,f82]) ).
fof(f12613,plain,
( sQ220_spl
| ~ sQ533_spl
| ~ incident(b2,s2) ),
inference(backward_demodulation,[status(thm)],[f12426,f2476]) ).
fof(f12621,plain,
( ~ sQ533_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f12612,f1281,f12425]) ).
fof(f12622,plain,
( sQ220_spl
| ~ sQ533_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f12613,f501,f12425,f2474]) ).
fof(f12654,plain,
( ~ sQ136_spl
| ~ sQ129_spl
| b2 = p1 ),
inference(forward_demodulation,[status(thm)],[f1049,f9906]) ).
fof(f12658,plain,
( sQ11_spl
| ~ sQ173_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f12211,f1225,f1284,f181]) ).
fof(f12742,plain,
( ~ sQ136_spl
| ~ sQ129_spl
| incident(b2,a2a3) ),
inference(forward_demodulation,[status(thm)],[f12654,f88]) ).
fof(f12745,plain,
( sQ290_spl
| ~ sQ129_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f9812,f159,f965,f4348]) ).
fof(f12748,plain,
( ~ sQ374_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f10044,f1123,f6622]) ).
fof(f12752,plain,
( ~ sQ391_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f7553,f162,f7344]) ).
fof(f12754,plain,
( ~ sQ281_spl
| sQ392_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7357,f7375]) ).
fof(f12755,plain,
( ~ sQ281_spl
| sQ392_spl ),
inference(contradiction_clause,[status(thm)],[f12754]) ).
fof(f12870,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ150_spl
| ~ incident(p2,X0)
| ~ incident(p1,X0)
| ~ incident(b1,X0) ),
inference(backward_demodulation,[status(thm)],[f1134,f140]) ).
fof(f12872,plain,
( sQ426_spl
| ~ sQ150_spl
| a1 != b1 ),
inference(backward_demodulation,[status(thm)],[f1134,f8997]) ).
fof(f12894,plain,
( ~ sQ217_spl
| ~ sQ203_spl
| b1b2 = b3b1 ),
inference(forward_demodulation,[status(thm)],[f2258,f2430]) ).
fof(f12991,plain,
( ~ sQ363_spl
| ~ sQ379_spl
| incident(b1,s2) ),
inference(forward_demodulation,[status(thm)],[f7019,f6396]) ).
fof(f12992,plain,
( ~ sQ363_spl
| ~ sQ379_spl
| sQ359_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12991,f6351]) ).
fof(f12993,plain,
( ~ sQ363_spl
| ~ sQ379_spl
| sQ359_spl ),
inference(contradiction_clause,[status(thm)],[f12992]) ).
fof(f13121,plain,
( sQ96_spl
| ~ sQ379_spl
| ~ incident(b1,b1b2) ),
inference(forward_demodulation,[status(thm)],[f7019,f760]) ).
fof(f13238,plain,
( ~ sQ417_spl
| ~ sQ136_spl
| ~ sQ127_spl
| a3 = b3 ),
inference(forward_demodulation,[status(thm)],[f9381,f8758]) ).
fof(f13239,plain,
( ~ sQ417_spl
| ~ sQ136_spl
| ~ sQ127_spl
| sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13238,f2795]) ).
fof(f13240,plain,
( ~ sQ417_spl
| ~ sQ136_spl
| ~ sQ127_spl
| sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f13239]) ).
fof(f13262,plain,
( ~ sQ5_spl
| ~ sQ189_spl
| incident(b1,s3) ),
inference(backward_demodulation,[status(thm)],[f1445,f157]) ).
fof(f13267,plain,
( ~ sQ5_spl
| ~ sQ189_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f13262,f1222,f1444,f156]) ).
fof(f13344,plain,
( ~ sQ368_spl
| ~ sQ307_spl
| a2 = s
| ~ incident(a2,s2) ),
inference(resolution,[status(thm)],[f4693,f6445]) ).
fof(f13354,plain,
( ~ sQ368_spl
| ~ sQ307_spl
| sQ175_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f13344,f551,f1291,f4614,f6444]) ).
fof(f13392,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ150_spl
| ~ point(p1)
| ~ point(X0)
| ~ incident(p2,sK0_skl(p1,X0))
| ~ incident(b1,sK0_skl(p1,X0)) ),
inference(resolution,[status(thm)],[f12870,f133]) ).
fof(f13393,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ150_spl
| ~ point(X0)
| ~ point(p1)
| ~ incident(p2,sK0_skl(X0,p1))
| ~ incident(b1,sK0_skl(X0,p1)) ),
inference(resolution,[status(thm)],[f12870,f132]) ).
fof(f13394,plain,
( ~ sQ0_spl
| ~ sQ150_spl
| ~ incident(p1,b3b1)
| ~ incident(b1,b3b1) ),
inference(resolution,[status(thm)],[f12870,f91]) ).
fof(f13396,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ150_spl
| ~ point(p2)
| ~ point(X0)
| ~ incident(p1,sK0_skl(p2,X0))
| ~ incident(b1,sK0_skl(p2,X0)) ),
inference(resolution,[status(thm)],[f12870,f133]) ).
fof(f13397,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ150_spl
| ~ point(X0)
| ~ point(p2)
| ~ incident(p1,sK0_skl(X0,p2))
| ~ incident(b1,sK0_skl(X0,p2)) ),
inference(resolution,[status(thm)],[f12870,f132]) ).
fof(f13399,definition,
! [X0] :
( sQ553_spl
<=> ( ~ point(X0)
| ~ incident(p2,sK0_skl(p1,X0))
| ~ incident(b1,sK0_skl(p1,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ553_spl])],[split_symbol_definition]) ).
fof(f13402,plain,
( ~ sQ0_spl
| ~ sQ150_spl
| ~ sQ121_spl
| sQ553_spl ),
inference(split_clause,[status(thm)],[f13392,f13399,f927,f1133,f139]) ).
fof(f13403,definition,
! [X0] :
( sQ554_spl
<=> ( ~ point(X0)
| ~ incident(p2,sK0_skl(X0,p1))
| ~ incident(b1,sK0_skl(X0,p1)) ) ),
introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition]) ).
fof(f13406,plain,
( ~ sQ0_spl
| ~ sQ150_spl
| ~ sQ121_spl
| sQ554_spl ),
inference(split_clause,[status(thm)],[f13393,f13403,f927,f1133,f139]) ).
fof(f13407,plain,
( ~ sQ0_spl
| ~ sQ150_spl
| ~ sQ292_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f13394,f523,f4355,f1133,f139]) ).
fof(f13409,definition,
! [X0] :
( sQ555_spl
<=> ( ~ point(X0)
| ~ incident(p1,sK0_skl(p2,X0))
| ~ incident(b1,sK0_skl(p2,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ555_spl])],[split_symbol_definition]) ).
fof(f13412,plain,
( ~ sQ0_spl
| ~ sQ150_spl
| ~ sQ105_spl
| sQ555_spl ),
inference(split_clause,[status(thm)],[f13396,f13409,f819,f1133,f139]) ).
fof(f13413,definition,
! [X0] :
( sQ556_spl
<=> ( ~ point(X0)
| ~ incident(p1,sK0_skl(X0,p2))
| ~ incident(b1,sK0_skl(X0,p2)) ) ),
introduced(definition,[new_symbols(definition,[sQ556_spl])],[split_symbol_definition]) ).
fof(f13416,plain,
( ~ sQ0_spl
| ~ sQ150_spl
| ~ sQ105_spl
| sQ556_spl ),
inference(split_clause,[status(thm)],[f13397,f13413,f819,f1133,f139]) ).
fof(f13476,plain,
( sQ174_spl
| ~ sQ175_spl
| ~ incident(s,s3) ),
inference(forward_demodulation,[status(thm)],[f1292,f1290]) ).
fof(f13477,plain,
( sQ174_spl
| ~ sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13476,f79]) ).
fof(f13478,plain,
( sQ174_spl
| ~ sQ175_spl ),
inference(contradiction_clause,[status(thm)],[f13477]) ).
fof(f13479,plain,
( sQ96_spl
| ~ sQ379_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f13121,f527,f7018,f758]) ).
fof(f13495,plain,
( ~ sQ245_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f3336,f7640,f3298]) ).
fof(f13624,plain,
! [X0] :
( X0 = s1
| a1 = b1
| ~ incident(b1,X0)
| ~ incident(a1,X0) ),
inference(resolution,[status(thm)],[f396,f80]) ).
fof(f13627,plain,
! [X0,X1] :
( ~ line(s1)
| ~ line(X0)
| X1 = s1
| sK1_skl(s1,X0) = b1
| ~ incident(b1,X1)
| ~ incident(sK1_skl(s1,X0),X1) ),
inference(resolution,[status(thm)],[f396,f137]) ).
fof(f13628,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(s1)
| X1 = s1
| sK1_skl(X0,s1) = b1
| ~ incident(b1,X1)
| ~ incident(sK1_skl(X0,s1),X1) ),
inference(resolution,[status(thm)],[f396,f136]) ).
fof(f13629,plain,
! [X0] :
( X0 = s1
| s = b1
| ~ incident(b1,X0)
| ~ incident(s,X0) ),
inference(resolution,[status(thm)],[f396,f77]) ).
fof(f13637,definition,
! [X0] :
( sQ559_spl
<=> ( X0 = s1
| ~ incident(b1,X0)
| ~ incident(a1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ559_spl])],[split_symbol_definition]) ).
fof(f13638,plain,
! [X0] :
( ~ sQ559_spl
| X0 = s1
| ~ incident(b1,X0)
| ~ incident(a1,X0) ),
inference(component_clause,[status(thm)],[f13637]) ).
fof(f13640,plain,
( sQ429_spl
| sQ559_spl ),
inference(split_clause,[status(thm)],[f13624,f13637,f9018]) ).
fof(f13646,definition,
! [X0,X1] :
( sQ561_spl
<=> ( ~ line(X0)
| X1 = s1
| sK1_skl(s1,X0) = b1
| ~ incident(b1,X1)
| ~ incident(sK1_skl(s1,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ561_spl])],[split_symbol_definition]) ).
fof(f13649,plain,
( ~ sQ163_spl
| sQ561_spl ),
inference(split_clause,[status(thm)],[f13627,f13646,f1213]) ).
fof(f13650,definition,
! [X0,X1] :
( sQ562_spl
<=> ( ~ line(X0)
| X1 = s1
| sK1_skl(X0,s1) = b1
| ~ incident(b1,X1)
| ~ incident(sK1_skl(X0,s1),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ562_spl])],[split_symbol_definition]) ).
fof(f13653,plain,
( ~ sQ163_spl
| sQ562_spl ),
inference(split_clause,[status(thm)],[f13628,f13650,f1213]) ).
fof(f13654,definition,
! [X0] :
( sQ563_spl
<=> ( X0 = s1
| ~ incident(b1,X0)
| ~ incident(s,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ563_spl])],[split_symbol_definition]) ).
fof(f13655,plain,
! [X0] :
( ~ sQ563_spl
| X0 = s1
| ~ incident(b1,X0)
| ~ incident(s,X0) ),
inference(component_clause,[status(thm)],[f13654]) ).
fof(f13657,plain,
( sQ166_spl
| sQ563_spl ),
inference(split_clause,[status(thm)],[f13629,f13654,f1225]) ).
fof(f13697,plain,
( sQ359_spl
| ~ sQ166_spl
| ~ incident(s,s2) ),
inference(backward_demodulation,[status(thm)],[f1226,f6351]) ).
fof(f13702,plain,
( sQ165_spl
| ~ sQ166_spl
| ~ incident(s,s3) ),
inference(backward_demodulation,[status(thm)],[f1226,f1224]) ).
fof(f13707,plain,
( sQ359_spl
| ~ sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13697,f78]) ).
fof(f13708,plain,
( sQ359_spl
| ~ sQ166_spl ),
inference(contradiction_clause,[status(thm)],[f13707]) ).
fof(f13709,plain,
( sQ165_spl
| ~ sQ166_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f13702,f462,f1225,f1222]) ).
fof(f13831,plain,
! [X0] :
( X0 = b3b1
| p2 = b1
| ~ incident(b1,X0)
| ~ incident(p2,X0) ),
inference(resolution,[status(thm)],[f397,f91]) ).
fof(f13833,plain,
! [X0,X1] :
( ~ line(b3b1)
| ~ line(X0)
| X1 = b3b1
| sK1_skl(b3b1,X0) = b1
| ~ incident(b1,X1)
| ~ incident(sK1_skl(b3b1,X0),X1) ),
inference(resolution,[status(thm)],[f397,f137]) ).
fof(f13834,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(b3b1)
| X1 = b3b1
| sK1_skl(X0,b3b1) = b1
| ~ incident(b1,X1)
| ~ incident(sK1_skl(X0,b3b1),X1) ),
inference(resolution,[status(thm)],[f397,f136]) ).
fof(f13844,definition,
! [X0] :
( sQ566_spl
<=> ( X0 = b3b1
| ~ incident(b1,X0)
| ~ incident(p2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ566_spl])],[split_symbol_definition]) ).
fof(f13845,plain,
! [X0] :
( ~ sQ566_spl
| X0 = b3b1
| ~ incident(b1,X0)
| ~ incident(p2,X0) ),
inference(component_clause,[status(thm)],[f13844]) ).
fof(f13847,plain,
( sQ113_spl
| sQ566_spl ),
inference(split_clause,[status(thm)],[f13831,f13844,f856]) ).
fof(f13849,plain,
( ~ sQ108_spl
| sQ470_spl ),
inference(split_clause,[status(thm)],[f13833,f10914,f837]) ).
fof(f13850,plain,
( ~ sQ108_spl
| sQ471_spl ),
inference(split_clause,[status(thm)],[f13834,f10918,f837]) ).
fof(f13862,plain,
! [X0,X1] :
( ~ line(b1b2)
| ~ line(X0)
| X1 = b1b2
| sK1_skl(b1b2,X0) = b1
| ~ incident(b1,X1)
| ~ incident(sK1_skl(b1b2,X0),X1) ),
inference(resolution,[status(thm)],[f398,f137]) ).
fof(f13863,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(b1b2)
| X1 = b1b2
| sK1_skl(X0,b1b2) = b1
| ~ incident(b1,X1)
| ~ incident(sK1_skl(X0,b1b2),X1) ),
inference(resolution,[status(thm)],[f398,f136]) ).
fof(f13878,definition,
! [X0,X1] :
( sQ568_spl
<=> ( ~ line(X0)
| X1 = b1b2
| sK1_skl(b1b2,X0) = b1
| ~ incident(b1,X1)
| ~ incident(sK1_skl(b1b2,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ568_spl])],[split_symbol_definition]) ).
fof(f13881,plain,
( ~ sQ145_spl
| sQ568_spl ),
inference(split_clause,[status(thm)],[f13862,f13878,f1114]) ).
fof(f13882,definition,
! [X0,X1] :
( sQ569_spl
<=> ( ~ line(X0)
| X1 = b1b2
| sK1_skl(X0,b1b2) = b1
| ~ incident(b1,X1)
| ~ incident(sK1_skl(X0,b1b2),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ569_spl])],[split_symbol_definition]) ).
fof(f13885,plain,
( ~ sQ145_spl
| sQ569_spl ),
inference(split_clause,[status(thm)],[f13863,f13882,f1114]) ).
fof(f13900,plain,
( ~ sQ395_spl
| p2 = b1
| ~ incident(p2,a2a3) ),
inference(resolution,[status(thm)],[f7455,f91]) ).
fof(f13905,plain,
( ~ sQ395_spl
| sQ113_spl
| ~ sQ286_spl ),
inference(split_clause,[status(thm)],[f13900,f4332,f856,f7454]) ).
fof(f13917,plain,
( ~ sQ411_spl
| b2 = b1
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[f7963,f72]) ).
fof(f13925,plain,
( ~ sQ411_spl
| sQ11_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f13917,f962,f181,f7962]) ).
fof(f13936,plain,
( ~ sQ153_spl
| ~ sQ412_spl
| p3 = sK1_skl(a2a3,a1a2) ),
inference(backward_demodulation,[status(thm)],[f7966,f1148]) ).
fof(f13945,plain,
( sQ96_spl
| ~ sQ412_spl
| ~ incident(p1,a2a3) ),
inference(backward_demodulation,[status(thm)],[f7966,f760]) ).
fof(f13954,plain,
( sQ96_spl
| ~ sQ412_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13945,f88]) ).
fof(f13955,plain,
( sQ96_spl
| ~ sQ412_spl ),
inference(contradiction_clause,[status(thm)],[f13954]) ).
fof(f13998,plain,
! [X0,X1] :
( ~ line(s3)
| ~ line(X0)
| X1 = s3
| sK1_skl(s3,X0) = a3
| ~ incident(a3,X1)
| ~ incident(sK1_skl(s3,X0),X1) ),
inference(resolution,[status(thm)],[f400,f137]) ).
fof(f13999,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(s3)
| X1 = s3
| sK1_skl(X0,s3) = a3
| ~ incident(a3,X1)
| ~ incident(sK1_skl(X0,s3),X1) ),
inference(resolution,[status(thm)],[f400,f136]) ).
fof(f14000,plain,
! [X0] :
( X0 = s3
| s = a3
| ~ incident(a3,X0)
| ~ incident(s,X0) ),
inference(resolution,[status(thm)],[f400,f79]) ).
fof(f14013,definition,
! [X0,X1] :
( sQ576_spl
<=> ( ~ line(X0)
| X1 = s3
| sK1_skl(s3,X0) = a3
| ~ incident(a3,X1)
| ~ incident(sK1_skl(s3,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ576_spl])],[split_symbol_definition]) ).
fof(f14016,plain,
( ~ sQ196_spl
| sQ576_spl ),
inference(split_clause,[status(thm)],[f13998,f14013,f2048]) ).
fof(f14017,definition,
! [X0,X1] :
( sQ577_spl
<=> ( ~ line(X0)
| X1 = s3
| sK1_skl(X0,s3) = a3
| ~ incident(a3,X1)
| ~ incident(sK1_skl(X0,s3),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ577_spl])],[split_symbol_definition]) ).
fof(f14020,plain,
( ~ sQ196_spl
| sQ577_spl ),
inference(split_clause,[status(thm)],[f13999,f14017,f2048]) ).
fof(f14021,definition,
! [X0] :
( sQ578_spl
<=> ( X0 = s3
| ~ incident(a3,X0)
| ~ incident(s,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ578_spl])],[split_symbol_definition]) ).
fof(f14022,plain,
! [X0] :
( ~ sQ578_spl
| X0 = s3
| ~ incident(a3,X0)
| ~ incident(s,X0) ),
inference(component_clause,[status(thm)],[f14021]) ).
fof(f14024,plain,
( sQ415_spl
| sQ578_spl ),
inference(split_clause,[status(thm)],[f14000,f14021,f8013]) ).
fof(f14078,plain,
( ~ sQ515_spl
| a3a1 = s3
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[f12272,f69]) ).
fof(f14080,plain,
! [X0] :
( ~ sQ515_spl
| ~ point(a3)
| ~ point(X0)
| sK0_skl(a3,X0) = s3
| ~ incident(b3,sK0_skl(a3,X0)) ),
inference(resolution,[status(thm)],[f12272,f133]) ).
fof(f14081,plain,
! [X0] :
( ~ sQ515_spl
| ~ point(X0)
| ~ point(a3)
| sK0_skl(X0,a3) = s3
| ~ incident(b3,sK0_skl(X0,a3)) ),
inference(resolution,[status(thm)],[f12272,f132]) ).
fof(f14083,plain,
( ~ sQ515_spl
| sQ198_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f14078,f846,f2153,f12271]) ).
fof(f14085,definition,
! [X0] :
( sQ579_spl
<=> ( ~ point(X0)
| sK0_skl(a3,X0) = s3
| ~ incident(b3,sK0_skl(a3,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ579_spl])],[split_symbol_definition]) ).
fof(f14088,plain,
( ~ sQ515_spl
| ~ sQ263_spl
| sQ579_spl ),
inference(split_clause,[status(thm)],[f14080,f14085,f3526,f12271]) ).
fof(f14089,definition,
! [X0] :
( sQ580_spl
<=> ( ~ point(X0)
| sK0_skl(X0,a3) = s3
| ~ incident(b3,sK0_skl(X0,a3)) ) ),
introduced(definition,[new_symbols(definition,[sQ580_spl])],[split_symbol_definition]) ).
fof(f14092,plain,
( ~ sQ515_spl
| ~ sQ263_spl
| sQ580_spl ),
inference(split_clause,[status(thm)],[f14081,f14089,f3526,f12271]) ).
fof(f14094,plain,
( ~ sQ518_spl
| b3b1 = s3
| ~ incident(s,b3b1) ),
inference(resolution,[status(thm)],[f12284,f75]) ).
fof(f14095,plain,
( ~ sQ518_spl
| s3 = s3
| ~ incident(s,s3) ),
inference(resolution,[status(thm)],[f12284,f85]) ).
fof(f14096,plain,
! [X0] :
( ~ sQ518_spl
| ~ point(b3)
| ~ point(X0)
| sK0_skl(b3,X0) = s3
| ~ incident(s,sK0_skl(b3,X0)) ),
inference(resolution,[status(thm)],[f12284,f133]) ).
fof(f14097,plain,
! [X0] :
( ~ sQ518_spl
| ~ point(X0)
| ~ point(b3)
| sK0_skl(X0,b3) = s3
| ~ incident(s,sK0_skl(X0,b3)) ),
inference(resolution,[status(thm)],[f12284,f132]) ).
fof(f14099,plain,
( ~ sQ518_spl
| sQ178_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f14094,f2921,f1349,f12283]) ).
fof(f14100,plain,
( ~ sQ518_spl
| sQ34_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f14095,f462,f468,f12283]) ).
fof(f14101,definition,
! [X0] :
( sQ581_spl
<=> ( ~ point(X0)
| sK0_skl(b3,X0) = s3
| ~ incident(s,sK0_skl(b3,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ581_spl])],[split_symbol_definition]) ).
fof(f14104,plain,
( ~ sQ518_spl
| ~ sQ182_spl
| sQ581_spl ),
inference(split_clause,[status(thm)],[f14096,f14101,f1363,f12283]) ).
fof(f14105,definition,
! [X0] :
( sQ582_spl
<=> ( ~ point(X0)
| sK0_skl(X0,b3) = s3
| ~ incident(s,sK0_skl(X0,b3)) ) ),
introduced(definition,[new_symbols(definition,[sQ582_spl])],[split_symbol_definition]) ).
fof(f14108,plain,
( ~ sQ518_spl
| ~ sQ182_spl
| sQ582_spl ),
inference(split_clause,[status(thm)],[f14097,f14105,f1363,f12283]) ).
fof(f14111,plain,
( ~ sQ468_spl
| b3b1 = b3b1
| ~ incident(b3,b3b1) ),
inference(resolution,[status(thm)],[f10906,f76]) ).
fof(f14113,plain,
! [X0] :
( ~ sQ468_spl
| ~ point(b1)
| ~ point(X0)
| sK0_skl(b1,X0) = b3b1
| ~ incident(b3,sK0_skl(b1,X0)) ),
inference(resolution,[status(thm)],[f10906,f133]) ).
fof(f14114,plain,
! [X0] :
( ~ sQ468_spl
| ~ point(X0)
| ~ point(b1)
| sK0_skl(X0,b1) = b3b1
| ~ incident(b3,sK0_skl(X0,b1)) ),
inference(resolution,[status(thm)],[f10906,f132]) ).
fof(f14117,plain,
( ~ sQ468_spl
| sQ19_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f14111,f493,f417,f10905]) ).
fof(f14119,definition,
! [X0] :
( sQ583_spl
<=> ( ~ point(X0)
| sK0_skl(b1,X0) = b3b1
| ~ incident(b3,sK0_skl(b1,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ583_spl])],[split_symbol_definition]) ).
fof(f14122,plain,
( ~ sQ468_spl
| ~ sQ249_spl
| sQ583_spl ),
inference(split_clause,[status(thm)],[f14113,f14119,f3313,f10905]) ).
fof(f14123,definition,
! [X0] :
( sQ584_spl
<=> ( ~ point(X0)
| sK0_skl(X0,b1) = b3b1
| ~ incident(b3,sK0_skl(X0,b1)) ) ),
introduced(definition,[new_symbols(definition,[sQ584_spl])],[split_symbol_definition]) ).
fof(f14126,plain,
( ~ sQ468_spl
| ~ sQ249_spl
| sQ584_spl ),
inference(split_clause,[status(thm)],[f14114,f14123,f3313,f10905]) ).
fof(f14127,plain,
! [X0] :
( X0 = a3a1
| a1 = a3
| ~ incident(a3,X0)
| ~ incident(a1,X0) ),
inference(resolution,[status(thm)],[f401,f70]) ).
fof(f14128,plain,
! [X0] :
( X0 = a3a1
| p2 = a3
| ~ incident(a3,X0)
| ~ incident(p2,X0) ),
inference(resolution,[status(thm)],[f401,f90]) ).
fof(f14132,plain,
! [X0,X1] :
( ~ line(a3a1)
| ~ line(X0)
| X1 = a3a1
| sK1_skl(a3a1,X0) = a3
| ~ incident(a3,X1)
| ~ incident(sK1_skl(a3a1,X0),X1) ),
inference(resolution,[status(thm)],[f401,f137]) ).
fof(f14133,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(a3a1)
| X1 = a3a1
| sK1_skl(X0,a3a1) = a3
| ~ incident(a3,X1)
| ~ incident(sK1_skl(X0,a3a1),X1) ),
inference(resolution,[status(thm)],[f401,f136]) ).
fof(f14140,definition,
! [X0] :
( sQ585_spl
<=> ( X0 = a3a1
| ~ incident(a3,X0)
| ~ incident(a1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ585_spl])],[split_symbol_definition]) ).
fof(f14141,plain,
! [X0] :
( ~ sQ585_spl
| X0 = a3a1
| ~ incident(a3,X0)
| ~ incident(a1,X0) ),
inference(component_clause,[status(thm)],[f14140]) ).
fof(f14143,plain,
( sQ10_spl
| sQ585_spl ),
inference(split_clause,[status(thm)],[f14127,f14140,f177]) ).
fof(f14144,definition,
! [X0] :
( sQ586_spl
<=> ( X0 = a3a1
| ~ incident(a3,X0)
| ~ incident(p2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ586_spl])],[split_symbol_definition]) ).
fof(f14145,plain,
! [X0] :
( ~ sQ586_spl
| X0 = a3a1
| ~ incident(a3,X0)
| ~ incident(p2,X0) ),
inference(component_clause,[status(thm)],[f14144]) ).
fof(f14147,plain,
( sQ351_spl
| sQ586_spl ),
inference(split_clause,[status(thm)],[f14128,f14144,f5984]) ).
fof(f14157,definition,
! [X0,X1] :
( sQ589_spl
<=> ( ~ line(X0)
| X1 = a3a1
| sK1_skl(a3a1,X0) = a3
| ~ incident(a3,X1)
| ~ incident(sK1_skl(a3a1,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ589_spl])],[split_symbol_definition]) ).
fof(f14160,plain,
( ~ sQ115_spl
| sQ589_spl ),
inference(split_clause,[status(thm)],[f14132,f14157,f866]) ).
fof(f14161,definition,
! [X0,X1] :
( sQ590_spl
<=> ( ~ line(X0)
| X1 = a3a1
| sK1_skl(X0,a3a1) = a3
| ~ incident(a3,X1)
| ~ incident(sK1_skl(X0,a3a1),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ590_spl])],[split_symbol_definition]) ).
fof(f14164,plain,
( ~ sQ115_spl
| sQ590_spl ),
inference(split_clause,[status(thm)],[f14133,f14161,f866]) ).
fof(f14171,plain,
! [X0] :
( ~ sQ5_spl
| X0 = a2a3
| b1 = a3
| ~ incident(a3,X0)
| ~ incident(b1,X0) ),
inference(resolution,[status(thm)],[f402,f157]) ).
fof(f14172,plain,
! [X0] :
( X0 = a2a3
| a2 = a3
| ~ incident(a3,X0)
| ~ incident(a2,X0) ),
inference(resolution,[status(thm)],[f402,f67]) ).
fof(f14176,plain,
! [X0,X1] :
( ~ line(a2a3)
| ~ line(X0)
| X1 = a2a3
| sK1_skl(a2a3,X0) = a3
| ~ incident(a3,X1)
| ~ incident(sK1_skl(a2a3,X0),X1) ),
inference(resolution,[status(thm)],[f402,f137]) ).
fof(f14177,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(a2a3)
| X1 = a2a3
| sK1_skl(X0,a2a3) = a3
| ~ incident(a3,X1)
| ~ incident(sK1_skl(X0,a2a3),X1) ),
inference(resolution,[status(thm)],[f402,f136]) ).
fof(f14184,definition,
! [X0] :
( sQ591_spl
<=> ( X0 = a2a3
| ~ incident(a3,X0)
| ~ incident(b1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ591_spl])],[split_symbol_definition]) ).
fof(f14185,plain,
! [X0] :
( ~ sQ591_spl
| X0 = a2a3
| ~ incident(a3,X0)
| ~ incident(b1,X0) ),
inference(component_clause,[status(thm)],[f14184]) ).
fof(f14187,plain,
( ~ sQ5_spl
| sQ396_spl
| sQ591_spl ),
inference(split_clause,[status(thm)],[f14171,f14184,f7484,f156]) ).
fof(f14188,definition,
! [X0] :
( sQ592_spl
<=> ( X0 = a2a3
| ~ incident(a3,X0)
| ~ incident(a2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ592_spl])],[split_symbol_definition]) ).
fof(f14189,plain,
! [X0] :
( ~ sQ592_spl
| X0 = a2a3
| ~ incident(a3,X0)
| ~ incident(a2,X0) ),
inference(component_clause,[status(thm)],[f14188]) ).
fof(f14191,plain,
( sQ9_spl
| sQ592_spl ),
inference(split_clause,[status(thm)],[f14172,f14188,f173]) ).
fof(f14198,definition,
! [X0,X1] :
( sQ594_spl
<=> ( ~ line(X0)
| X1 = a2a3
| sK1_skl(a2a3,X0) = a3
| ~ incident(a3,X1)
| ~ incident(sK1_skl(a2a3,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ594_spl])],[split_symbol_definition]) ).
fof(f14201,plain,
( ~ sQ135_spl
| sQ594_spl ),
inference(split_clause,[status(thm)],[f14176,f14198,f1025]) ).
fof(f14202,definition,
! [X0,X1] :
( sQ595_spl
<=> ( ~ line(X0)
| X1 = a2a3
| sK1_skl(X0,a2a3) = a3
| ~ incident(a3,X1)
| ~ incident(sK1_skl(X0,a2a3),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition]) ).
fof(f14205,plain,
( ~ sQ135_spl
| sQ595_spl ),
inference(split_clause,[status(thm)],[f14177,f14202,f1025]) ).
fof(f14213,plain,
( ~ sQ519_spl
| a3a1 = b3b1
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[f12308,f90]) ).
fof(f14214,plain,
! [X0] :
( ~ sQ519_spl
| ~ point(p2)
| ~ point(X0)
| sK0_skl(p2,X0) = b3b1
| ~ incident(b3,sK0_skl(p2,X0)) ),
inference(resolution,[status(thm)],[f12308,f133]) ).
fof(f14215,plain,
! [X0] :
( ~ sQ519_spl
| ~ point(X0)
| ~ point(p2)
| sK0_skl(X0,p2) = b3b1
| ~ incident(b3,sK0_skl(X0,p2)) ),
inference(resolution,[status(thm)],[f12308,f132]) ).
fof(f14217,plain,
( ~ sQ519_spl
| sQ16_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f14213,f846,f201,f12307]) ).
fof(f14218,definition,
! [X0] :
( sQ596_spl
<=> ( ~ point(X0)
| sK0_skl(p2,X0) = b3b1
| ~ incident(b3,sK0_skl(p2,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ596_spl])],[split_symbol_definition]) ).
fof(f14221,plain,
( ~ sQ519_spl
| ~ sQ105_spl
| sQ596_spl ),
inference(split_clause,[status(thm)],[f14214,f14218,f819,f12307]) ).
fof(f14222,definition,
! [X0] :
( sQ597_spl
<=> ( ~ point(X0)
| sK0_skl(X0,p2) = b3b1
| ~ incident(b3,sK0_skl(X0,p2)) ) ),
introduced(definition,[new_symbols(definition,[sQ597_spl])],[split_symbol_definition]) ).
fof(f14225,plain,
( ~ sQ519_spl
| ~ sQ105_spl
| sQ597_spl ),
inference(split_clause,[status(thm)],[f14215,f14222,f819,f12307]) ).
fof(f14228,plain,
( ~ sQ6_spl
| ~ sQ524_spl
| a3a1 = b2b3
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[f12354,f160]) ).
fof(f14230,plain,
! [X0] :
( ~ sQ524_spl
| ~ point(b2)
| ~ point(X0)
| sK0_skl(b2,X0) = b2b3
| ~ incident(b3,sK0_skl(b2,X0)) ),
inference(resolution,[status(thm)],[f12354,f133]) ).
fof(f14231,plain,
! [X0] :
( ~ sQ524_spl
| ~ point(X0)
| ~ point(b2)
| sK0_skl(X0,b2) = b2b3
| ~ incident(b3,sK0_skl(X0,b2)) ),
inference(resolution,[status(thm)],[f12354,f132]) ).
fof(f14234,plain,
( ~ sQ6_spl
| ~ sQ524_spl
| sQ315_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f14228,f846,f4653,f12353,f159]) ).
fof(f14236,definition,
! [X0] :
( sQ598_spl
<=> ( ~ point(X0)
| sK0_skl(b2,X0) = b2b3
| ~ incident(b3,sK0_skl(b2,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ598_spl])],[split_symbol_definition]) ).
fof(f14239,plain,
( ~ sQ524_spl
| ~ sQ214_spl
| sQ598_spl ),
inference(split_clause,[status(thm)],[f14230,f14236,f2409,f12353]) ).
fof(f14240,definition,
! [X0] :
( sQ599_spl
<=> ( ~ point(X0)
| sK0_skl(X0,b2) = b2b3
| ~ incident(b3,sK0_skl(X0,b2)) ) ),
introduced(definition,[new_symbols(definition,[sQ599_spl])],[split_symbol_definition]) ).
fof(f14243,plain,
( ~ sQ524_spl
| ~ sQ214_spl
| sQ599_spl ),
inference(split_clause,[status(thm)],[f14231,f14240,f2409,f12353]) ).
fof(f14244,plain,
( ~ sQ529_spl
| a2a3 = s2
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[f12396,f67]) ).
fof(f14245,plain,
( ~ sQ529_spl
| s2 = s2
| ~ incident(b2,s2) ),
inference(resolution,[status(thm)],[f12396,f81]) ).
fof(f14246,plain,
( ~ sQ529_spl
| a1a2 = s2
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[f12396,f66]) ).
fof(f14247,plain,
! [X0] :
( ~ sQ529_spl
| ~ point(a2)
| ~ point(X0)
| sK0_skl(a2,X0) = s2
| ~ incident(b2,sK0_skl(a2,X0)) ),
inference(resolution,[status(thm)],[f12396,f133]) ).
fof(f14248,plain,
! [X0] :
( ~ sQ529_spl
| ~ point(X0)
| ~ point(a2)
| sK0_skl(X0,a2) = s2
| ~ incident(b2,sK0_skl(X0,a2)) ),
inference(resolution,[status(thm)],[f12396,f132]) ).
fof(f14249,plain,
( ~ sQ529_spl
| sQ278_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f14244,f962,f4079,f12395]) ).
fof(f14250,plain,
( ~ sQ529_spl
| sQ36_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f14245,f501,f475,f12395]) ).
fof(f14251,plain,
( ~ sQ529_spl
| sQ281_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f14246,f1123,f4091,f12395]) ).
fof(f14252,definition,
! [X0] :
( sQ600_spl
<=> ( ~ point(X0)
| sK0_skl(a2,X0) = s2
| ~ incident(b2,sK0_skl(a2,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ600_spl])],[split_symbol_definition]) ).
fof(f14255,plain,
( ~ sQ529_spl
| ~ sQ283_spl
| sQ600_spl ),
inference(split_clause,[status(thm)],[f14247,f14252,f4098,f12395]) ).
fof(f14256,definition,
! [X0] :
( sQ601_spl
<=> ( ~ point(X0)
| sK0_skl(X0,a2) = s2
| ~ incident(b2,sK0_skl(X0,a2)) ) ),
introduced(definition,[new_symbols(definition,[sQ601_spl])],[split_symbol_definition]) ).
fof(f14259,plain,
( ~ sQ529_spl
| ~ sQ283_spl
| sQ601_spl ),
inference(split_clause,[status(thm)],[f14248,f14256,f4098,f12395]) ).
fof(f14266,plain,
( ~ sQ530_spl
| incident(b2,a2a3) ),
inference(backward_demodulation,[status(thm)],[f12399,f67]) ).
fof(f14274,plain,
( ~ sQ530_spl
| incident(b2,a1a2) ),
inference(backward_demodulation,[status(thm)],[f12399,f66]) ).
fof(f14276,plain,
( ~ sQ530_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f14266,f962,f12398]) ).
fof(f14277,plain,
( ~ sQ530_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f14274,f1123,f12398]) ).
fof(f14319,plain,
( ~ sQ544_spl
| b1b2 = b1b2
| ~ incident(b2,b1b2) ),
inference(resolution,[status(thm)],[f12586,f71]) ).
fof(f14321,plain,
( ~ sQ544_spl
| b3b1 = b1b2
| ~ incident(b2,b3b1) ),
inference(resolution,[status(thm)],[f12586,f76]) ).
fof(f14323,plain,
! [X0] :
( ~ sQ544_spl
| ~ point(b1)
| ~ point(X0)
| sK0_skl(b1,X0) = b1b2
| ~ incident(b2,sK0_skl(b1,X0)) ),
inference(resolution,[status(thm)],[f12586,f133]) ).
fof(f14324,plain,
! [X0] :
( ~ sQ544_spl
| ~ point(X0)
| ~ point(b1)
| sK0_skl(X0,b1) = b1b2
| ~ incident(b2,sK0_skl(X0,b1)) ),
inference(resolution,[status(thm)],[f12586,f132]) ).
fof(f14325,plain,
( ~ sQ544_spl
| sQ29_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f14319,f512,f451,f12585]) ).
fof(f14327,plain,
( ~ sQ544_spl
| sQ254_spl
| ~ sQ291_spl ),
inference(split_clause,[status(thm)],[f14321,f4352,f3474,f12585]) ).
fof(f14329,definition,
! [X0] :
( sQ602_spl
<=> ( ~ point(X0)
| sK0_skl(b1,X0) = b1b2
| ~ incident(b2,sK0_skl(b1,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ602_spl])],[split_symbol_definition]) ).
fof(f14332,plain,
( ~ sQ544_spl
| ~ sQ249_spl
| sQ602_spl ),
inference(split_clause,[status(thm)],[f14323,f14329,f3313,f12585]) ).
fof(f14333,definition,
! [X0] :
( sQ603_spl
<=> ( ~ point(X0)
| sK0_skl(X0,b1) = b1b2
| ~ incident(b2,sK0_skl(X0,b1)) ) ),
introduced(definition,[new_symbols(definition,[sQ603_spl])],[split_symbol_definition]) ).
fof(f14336,plain,
( ~ sQ544_spl
| ~ sQ249_spl
| sQ603_spl ),
inference(split_clause,[status(thm)],[f14324,f14333,f3313,f12585]) ).
fof(f14352,plain,
( ~ sQ6_spl
| ~ sQ260_spl
| a3 = b2
| ~ incident(b2,s3) ),
inference(resolution,[status(thm)],[f3515,f160]) ).
fof(f14358,plain,
( ~ sQ6_spl
| ~ sQ260_spl
| sQ533_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f14352,f1281,f12425,f3514,f159]) ).
fof(f14362,plain,
( ~ sQ510_spl
| b2b3 = s2
| ~ incident(s,b2b3) ),
inference(resolution,[status(thm)],[f12178,f73]) ).
fof(f14365,plain,
! [X0] :
( ~ sQ510_spl
| ~ point(b2)
| ~ point(X0)
| sK0_skl(b2,X0) = s2
| ~ incident(s,sK0_skl(b2,X0)) ),
inference(resolution,[status(thm)],[f12178,f133]) ).
fof(f14366,plain,
! [X0] :
( ~ sQ510_spl
| ~ point(X0)
| ~ point(b2)
| sK0_skl(X0,b2) = s2
| ~ incident(s,sK0_skl(X0,b2)) ),
inference(resolution,[status(thm)],[f12178,f132]) ).
fof(f14368,plain,
( ~ sQ510_spl
| sQ210_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f14362,f2876,f2394,f12177]) ).
fof(f14371,definition,
! [X0] :
( sQ604_spl
<=> ( ~ point(X0)
| sK0_skl(b2,X0) = s2
| ~ incident(s,sK0_skl(b2,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ604_spl])],[split_symbol_definition]) ).
fof(f14374,plain,
( ~ sQ510_spl
| ~ sQ214_spl
| sQ604_spl ),
inference(split_clause,[status(thm)],[f14365,f14371,f2409,f12177]) ).
fof(f14375,definition,
! [X0] :
( sQ605_spl
<=> ( ~ point(X0)
| sK0_skl(X0,b2) = s2
| ~ incident(s,sK0_skl(X0,b2)) ) ),
introduced(definition,[new_symbols(definition,[sQ605_spl])],[split_symbol_definition]) ).
fof(f14378,plain,
( ~ sQ510_spl
| ~ sQ214_spl
| sQ605_spl ),
inference(split_clause,[status(thm)],[f14366,f14375,f2409,f12177]) ).
fof(f14382,plain,
! [X0,X1] :
( ~ line(s2)
| ~ line(X0)
| X1 = s2
| sK1_skl(s2,X0) = a2
| ~ incident(a2,X1)
| ~ incident(sK1_skl(s2,X0),X1) ),
inference(resolution,[status(thm)],[f404,f137]) ).
fof(f14383,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(s2)
| X1 = s2
| sK1_skl(X0,s2) = a2
| ~ incident(a2,X1)
| ~ incident(sK1_skl(X0,s2),X1) ),
inference(resolution,[status(thm)],[f404,f136]) ).
fof(f14397,definition,
! [X0,X1] :
( sQ607_spl
<=> ( ~ line(X0)
| X1 = s2
| sK1_skl(s2,X0) = a2
| ~ incident(a2,X1)
| ~ incident(sK1_skl(s2,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ607_spl])],[split_symbol_definition]) ).
fof(f14400,plain,
( ~ sQ170_spl
| sQ607_spl ),
inference(split_clause,[status(thm)],[f14382,f14397,f1272]) ).
fof(f14401,definition,
! [X0,X1] :
( sQ608_spl
<=> ( ~ line(X0)
| X1 = s2
| sK1_skl(X0,s2) = a2
| ~ incident(a2,X1)
| ~ incident(sK1_skl(X0,s2),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ608_spl])],[split_symbol_definition]) ).
fof(f14404,plain,
( ~ sQ170_spl
| sQ608_spl ),
inference(split_clause,[status(thm)],[f14383,f14401,f1272]) ).
fof(f14414,plain,
( sQ132_spl
| ~ sQ367_spl
| ~ incident(a2,s2) ),
inference(backward_demodulation,[status(thm)],[f6440,f989]) ).
fof(f14421,plain,
( ~ sQ367_spl
| incident(a1,s2) ),
inference(backward_demodulation,[status(thm)],[f6440,f70]) ).
fof(f14433,plain,
( sQ132_spl
| ~ sQ367_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f14414,f551,f6439,f987]) ).
fof(f14435,plain,
( ~ sQ367_spl
| sQ392_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14421,f7375]) ).
fof(f14436,plain,
( ~ sQ367_spl
| sQ392_spl ),
inference(contradiction_clause,[status(thm)],[f14435]) ).
fof(f14539,plain,
( ~ sQ314_spl
| a1 = b2
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[f4651,f73]) ).
fof(f14540,plain,
( ~ sQ314_spl
| a1 = b3
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[f4651,f74]) ).
fof(f14545,plain,
( ~ sQ314_spl
| sQ374_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f14539,f159,f6622,f4650]) ).
fof(f14546,plain,
( ~ sQ314_spl
| sQ187_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f14540,f846,f1393,f4650]) ).
fof(f14565,plain,
( ~ sQ315_spl
| incident(p1,a3a1) ),
inference(backward_demodulation,[status(thm)],[f4654,f89]) ).
fof(f14573,plain,
( ~ sQ315_spl
| sQ290_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14565,f4350]) ).
fof(f14574,plain,
( ~ sQ315_spl
| sQ290_spl ),
inference(contradiction_clause,[status(thm)],[f14573]) ).
fof(f14673,plain,
( ~ sQ203_spl
| ~ sQ217_spl
| incident(p1,b1b2) ),
inference(forward_demodulation,[status(thm)],[f12894,f6809]) ).
fof(f14674,plain,
( ~ sQ203_spl
| ~ sQ217_spl
| sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14673,f760]) ).
fof(f14675,plain,
( ~ sQ203_spl
| ~ sQ217_spl
| sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f14674]) ).
fof(f14863,plain,
! [X0,X1] :
( ~ line(a2a3)
| ~ line(X0)
| X1 = a2a3
| sK1_skl(a2a3,X0) = a2
| ~ incident(a2,X1)
| ~ incident(sK1_skl(a2a3,X0),X1) ),
inference(resolution,[status(thm)],[f405,f137]) ).
fof(f14864,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(a2a3)
| X1 = a2a3
| sK1_skl(X0,a2a3) = a2
| ~ incident(a2,X1)
| ~ incident(sK1_skl(X0,a2a3),X1) ),
inference(resolution,[status(thm)],[f405,f136]) ).
fof(f14879,definition,
! [X0,X1] :
( sQ616_spl
<=> ( ~ line(X0)
| X1 = a2a3
| sK1_skl(a2a3,X0) = a2
| ~ incident(a2,X1)
| ~ incident(sK1_skl(a2a3,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ616_spl])],[split_symbol_definition]) ).
fof(f14882,plain,
( ~ sQ135_spl
| sQ616_spl ),
inference(split_clause,[status(thm)],[f14863,f14879,f1025]) ).
fof(f14883,definition,
! [X0,X1] :
( sQ617_spl
<=> ( ~ line(X0)
| X1 = a2a3
| sK1_skl(X0,a2a3) = a2
| ~ incident(a2,X1)
| ~ incident(sK1_skl(X0,a2a3),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ617_spl])],[split_symbol_definition]) ).
fof(f14886,plain,
( ~ sQ135_spl
| sQ617_spl ),
inference(split_clause,[status(thm)],[f14864,f14883,f1025]) ).
fof(f14906,plain,
( ~ sQ483_spl
| b2b3 = b2b3
| ~ incident(b2,b2b3) ),
inference(resolution,[status(thm)],[f11784,f89]) ).
fof(f14907,plain,
( ~ sQ483_spl
| a2a3 = b2b3
| ~ incident(b2,a2a3) ),
inference(resolution,[status(thm)],[f11784,f88]) ).
fof(f14908,plain,
! [X0] :
( ~ sQ483_spl
| ~ point(p1)
| ~ point(X0)
| sK0_skl(p1,X0) = b2b3
| ~ incident(b2,sK0_skl(p1,X0)) ),
inference(resolution,[status(thm)],[f11784,f133]) ).
fof(f14909,plain,
! [X0] :
( ~ sQ483_spl
| ~ point(X0)
| ~ point(p1)
| sK0_skl(X0,p1) = b2b3
| ~ incident(b2,sK0_skl(X0,p1)) ),
inference(resolution,[status(thm)],[f11784,f132]) ).
fof(f14910,plain,
( ~ sQ483_spl
| sQ24_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f14906,f508,f434,f11783]) ).
fof(f14911,plain,
( ~ sQ483_spl
| sQ15_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f14907,f962,f197,f11783]) ).
fof(f14912,definition,
! [X0] :
( sQ618_spl
<=> ( ~ point(X0)
| sK0_skl(p1,X0) = b2b3
| ~ incident(b2,sK0_skl(p1,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ618_spl])],[split_symbol_definition]) ).
fof(f14915,plain,
( ~ sQ483_spl
| ~ sQ121_spl
| sQ618_spl ),
inference(split_clause,[status(thm)],[f14908,f14912,f927,f11783]) ).
fof(f14916,definition,
! [X0] :
( sQ619_spl
<=> ( ~ point(X0)
| sK0_skl(X0,p1) = b2b3
| ~ incident(b2,sK0_skl(X0,p1)) ) ),
introduced(definition,[new_symbols(definition,[sQ619_spl])],[split_symbol_definition]) ).
fof(f14919,plain,
( ~ sQ483_spl
| ~ sQ121_spl
| sQ619_spl ),
inference(split_clause,[status(thm)],[f14909,f14916,f927,f11783]) ).
fof(f14932,plain,
! [X0] :
( X0 = a1a2
| a1 = a2
| ~ incident(a2,X0)
| ~ incident(a1,X0) ),
inference(resolution,[status(thm)],[f406,f65]) ).
fof(f14934,plain,
! [X0,X1] :
( ~ line(a1a2)
| ~ line(X0)
| X1 = a1a2
| sK1_skl(a1a2,X0) = a2
| ~ incident(a2,X1)
| ~ incident(sK1_skl(a1a2,X0),X1) ),
inference(resolution,[status(thm)],[f406,f137]) ).
fof(f14935,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(a1a2)
| X1 = a1a2
| sK1_skl(X0,a1a2) = a2
| ~ incident(a2,X1)
| ~ incident(sK1_skl(X0,a1a2),X1) ),
inference(resolution,[status(thm)],[f406,f136]) ).
fof(f14948,definition,
! [X0] :
( sQ621_spl
<=> ( X0 = a1a2
| ~ incident(a2,X0)
| ~ incident(a1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ621_spl])],[split_symbol_definition]) ).
fof(f14949,plain,
! [X0] :
( ~ sQ621_spl
| X0 = a1a2
| ~ incident(a2,X0)
| ~ incident(a1,X0) ),
inference(component_clause,[status(thm)],[f14948]) ).
fof(f14951,plain,
( sQ8_spl
| sQ621_spl ),
inference(split_clause,[status(thm)],[f14932,f14948,f169]) ).
fof(f14956,definition,
! [X0,X1] :
( sQ623_spl
<=> ( ~ line(X0)
| X1 = a1a2
| sK1_skl(a1a2,X0) = a2
| ~ incident(a2,X1)
| ~ incident(sK1_skl(a1a2,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ623_spl])],[split_symbol_definition]) ).
fof(f14959,plain,
( ~ sQ154_spl
| sQ623_spl ),
inference(split_clause,[status(thm)],[f14934,f14956,f1150]) ).
fof(f14960,definition,
! [X0,X1] :
( sQ624_spl
<=> ( ~ line(X0)
| X1 = a1a2
| sK1_skl(X0,a1a2) = a2
| ~ incident(a2,X1)
| ~ incident(sK1_skl(X0,a1a2),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ624_spl])],[split_symbol_definition]) ).
fof(f14963,plain,
( ~ sQ154_spl
| sQ624_spl ),
inference(split_clause,[status(thm)],[f14935,f14960,f1150]) ).
fof(f15017,plain,
! [X0] :
( ~ sQ488_spl
| ~ point(p1)
| ~ point(X0)
| sK0_skl(p1,X0) = a2a3
| ~ incident(a2,sK0_skl(p1,X0)) ),
inference(resolution,[status(thm)],[f11822,f133]) ).
fof(f15018,plain,
! [X0] :
( ~ sQ488_spl
| ~ point(X0)
| ~ point(p1)
| sK0_skl(X0,p1) = a2a3
| ~ incident(a2,sK0_skl(X0,p1)) ),
inference(resolution,[status(thm)],[f11822,f132]) ).
fof(f15021,definition,
! [X0] :
( sQ625_spl
<=> ( ~ point(X0)
| sK0_skl(p1,X0) = a2a3
| ~ incident(a2,sK0_skl(p1,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ625_spl])],[split_symbol_definition]) ).
fof(f15024,plain,
( ~ sQ488_spl
| ~ sQ121_spl
| sQ625_spl ),
inference(split_clause,[status(thm)],[f15017,f15021,f927,f11821]) ).
fof(f15025,definition,
! [X0] :
( sQ626_spl
<=> ( ~ point(X0)
| sK0_skl(X0,p1) = a2a3
| ~ incident(a2,sK0_skl(X0,p1)) ) ),
introduced(definition,[new_symbols(definition,[sQ626_spl])],[split_symbol_definition]) ).
fof(f15028,plain,
( ~ sQ488_spl
| ~ sQ121_spl
| sQ626_spl ),
inference(split_clause,[status(thm)],[f15018,f15025,f927,f11821]) ).
fof(f15031,plain,
! [X0] :
( ~ sQ482_spl
| ~ point(p1)
| ~ point(X0)
| sK0_skl(p1,X0) = b2b3
| ~ incident(b3,sK0_skl(p1,X0)) ),
inference(resolution,[status(thm)],[f11780,f133]) ).
fof(f15032,plain,
! [X0] :
( ~ sQ482_spl
| ~ point(X0)
| ~ point(p1)
| sK0_skl(X0,p1) = b2b3
| ~ incident(b3,sK0_skl(X0,p1)) ),
inference(resolution,[status(thm)],[f11780,f132]) ).
fof(f15035,definition,
! [X0] :
( sQ627_spl
<=> ( ~ point(X0)
| sK0_skl(p1,X0) = b2b3
| ~ incident(b3,sK0_skl(p1,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ627_spl])],[split_symbol_definition]) ).
fof(f15038,plain,
( ~ sQ482_spl
| ~ sQ121_spl
| sQ627_spl ),
inference(split_clause,[status(thm)],[f15031,f15035,f927,f11779]) ).
fof(f15039,definition,
! [X0] :
( sQ628_spl
<=> ( ~ point(X0)
| sK0_skl(X0,p1) = b2b3
| ~ incident(b3,sK0_skl(X0,p1)) ) ),
introduced(definition,[new_symbols(definition,[sQ628_spl])],[split_symbol_definition]) ).
fof(f15042,plain,
( ~ sQ482_spl
| ~ sQ121_spl
| sQ628_spl ),
inference(split_clause,[status(thm)],[f15032,f15039,f927,f11779]) ).
fof(f15073,plain,
! [X0,X1] :
( ~ line(s1)
| ~ line(X0)
| X1 = s1
| sK1_skl(s1,X0) = a1
| ~ incident(a1,X1)
| ~ incident(sK1_skl(s1,X0),X1) ),
inference(resolution,[status(thm)],[f407,f137]) ).
fof(f15074,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(s1)
| X1 = s1
| sK1_skl(X0,s1) = a1
| ~ incident(a1,X1)
| ~ incident(sK1_skl(X0,s1),X1) ),
inference(resolution,[status(thm)],[f407,f136]) ).
fof(f15075,plain,
! [X0] :
( X0 = s1
| s = a1
| ~ incident(a1,X0)
| ~ incident(s,X0) ),
inference(resolution,[status(thm)],[f407,f77]) ).
fof(f15089,definition,
! [X0,X1] :
( sQ633_spl
<=> ( ~ line(X0)
| X1 = s1
| sK1_skl(s1,X0) = a1
| ~ incident(a1,X1)
| ~ incident(sK1_skl(s1,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ633_spl])],[split_symbol_definition]) ).
fof(f15092,plain,
( ~ sQ163_spl
| sQ633_spl ),
inference(split_clause,[status(thm)],[f15073,f15089,f1213]) ).
fof(f15093,definition,
! [X0,X1] :
( sQ634_spl
<=> ( ~ line(X0)
| X1 = s1
| sK1_skl(X0,s1) = a1
| ~ incident(a1,X1)
| ~ incident(sK1_skl(X0,s1),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ634_spl])],[split_symbol_definition]) ).
fof(f15096,plain,
( ~ sQ163_spl
| sQ634_spl ),
inference(split_clause,[status(thm)],[f15074,f15093,f1213]) ).
fof(f15097,definition,
! [X0] :
( sQ635_spl
<=> ( X0 = s1
| ~ incident(a1,X0)
| ~ incident(s,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ635_spl])],[split_symbol_definition]) ).
fof(f15098,plain,
! [X0] :
( ~ sQ635_spl
| X0 = s1
| ~ incident(a1,X0)
| ~ incident(s,X0) ),
inference(component_clause,[status(thm)],[f15097]) ).
fof(f15100,plain,
( sQ168_spl
| sQ635_spl ),
inference(split_clause,[status(thm)],[f15075,f15097,f1232]) ).
fof(f15113,plain,
! [X0] :
( X0 = a3a1
| p2 = a1
| ~ incident(a1,X0)
| ~ incident(p2,X0) ),
inference(resolution,[status(thm)],[f408,f90]) ).
fof(f15116,plain,
! [X0,X1] :
( ~ line(a3a1)
| ~ line(X0)
| X1 = a3a1
| sK1_skl(a3a1,X0) = a1
| ~ incident(a1,X1)
| ~ incident(sK1_skl(a3a1,X0),X1) ),
inference(resolution,[status(thm)],[f408,f137]) ).
fof(f15117,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(a3a1)
| X1 = a3a1
| sK1_skl(X0,a3a1) = a1
| ~ incident(a1,X1)
| ~ incident(sK1_skl(X0,a3a1),X1) ),
inference(resolution,[status(thm)],[f408,f136]) ).
fof(f15130,definition,
! [X0] :
( sQ638_spl
<=> ( X0 = a3a1
| ~ incident(a1,X0)
| ~ incident(p2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ638_spl])],[split_symbol_definition]) ).
fof(f15133,plain,
( sQ350_spl
| sQ638_spl ),
inference(split_clause,[status(thm)],[f15113,f15130,f5979]) ).
fof(f15139,definition,
! [X0,X1] :
( sQ640_spl
<=> ( ~ line(X0)
| X1 = a3a1
| sK1_skl(a3a1,X0) = a1
| ~ incident(a1,X1)
| ~ incident(sK1_skl(a3a1,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ640_spl])],[split_symbol_definition]) ).
fof(f15142,plain,
( ~ sQ115_spl
| sQ640_spl ),
inference(split_clause,[status(thm)],[f15116,f15139,f866]) ).
fof(f15143,definition,
! [X0,X1] :
( sQ641_spl
<=> ( ~ line(X0)
| X1 = a3a1
| sK1_skl(X0,a3a1) = a1
| ~ incident(a1,X1)
| ~ incident(sK1_skl(X0,a3a1),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ641_spl])],[split_symbol_definition]) ).
fof(f15146,plain,
( ~ sQ115_spl
| sQ641_spl ),
inference(split_clause,[status(thm)],[f15117,f15143,f866]) ).
fof(f15157,plain,
( ~ sQ3_spl
| ~ sQ509_spl
| b3b1 = s2
| ~ incident(s,b3b1) ),
inference(resolution,[status(thm)],[f12174,f150]) ).
fof(f15158,plain,
( ~ sQ509_spl
| a1a2 = s2
| ~ incident(s,a1a2) ),
inference(resolution,[status(thm)],[f12174,f66]) ).
fof(f15160,plain,
( ~ sQ509_spl
| a2a3 = s2
| ~ incident(s,a2a3) ),
inference(resolution,[status(thm)],[f12174,f67]) ).
fof(f15161,plain,
! [X0] :
( ~ sQ509_spl
| ~ point(a2)
| ~ point(X0)
| sK0_skl(a2,X0) = s2
| ~ incident(s,sK0_skl(a2,X0)) ),
inference(resolution,[status(thm)],[f12174,f133]) ).
fof(f15162,plain,
! [X0] :
( ~ sQ509_spl
| ~ point(X0)
| ~ point(a2)
| sK0_skl(X0,a2) = s2
| ~ incident(s,sK0_skl(X0,a2)) ),
inference(resolution,[status(thm)],[f12174,f132]) ).
fof(f15163,plain,
( ~ sQ3_spl
| ~ sQ509_spl
| sQ222_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f15157,f2921,f2496,f12173,f149]) ).
fof(f15164,plain,
( ~ sQ509_spl
| sQ281_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f15158,f2831,f4091,f12173]) ).
fof(f15166,plain,
( ~ sQ509_spl
| sQ278_spl
| ~ sQ340_spl ),
inference(split_clause,[status(thm)],[f15160,f5494,f4079,f12173]) ).
fof(f15167,definition,
! [X0] :
( sQ643_spl
<=> ( ~ point(X0)
| sK0_skl(a2,X0) = s2
| ~ incident(s,sK0_skl(a2,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ643_spl])],[split_symbol_definition]) ).
fof(f15170,plain,
( ~ sQ509_spl
| ~ sQ283_spl
| sQ643_spl ),
inference(split_clause,[status(thm)],[f15161,f15167,f4098,f12173]) ).
fof(f15171,definition,
! [X0] :
( sQ644_spl
<=> ( ~ point(X0)
| sK0_skl(X0,a2) = s2
| ~ incident(s,sK0_skl(X0,a2)) ) ),
introduced(definition,[new_symbols(definition,[sQ644_spl])],[split_symbol_definition]) ).
fof(f15174,plain,
( ~ sQ509_spl
| ~ sQ283_spl
| sQ644_spl ),
inference(split_clause,[status(thm)],[f15162,f15171,f4098,f12173]) ).
fof(f15194,plain,
( ~ sQ150_spl
| ~ sQ426_spl
| a1 = b1 ),
inference(forward_demodulation,[status(thm)],[f8996,f1134]) ).
fof(f15205,plain,
( ~ sQ150_spl
| ~ sQ426_spl
| incident(b1,a3a1) ),
inference(backward_demodulation,[status(thm)],[f15194,f70]) ).
fof(f15220,plain,
( ~ sQ150_spl
| ~ sQ426_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f15205,f853,f8995,f1133]) ).
fof(f15324,plain,
! [X0] :
( ~ sQ7_spl
| X0 = a1a2
| b3 = a1
| ~ incident(a1,X0)
| ~ incident(b3,X0) ),
inference(resolution,[status(thm)],[f409,f163]) ).
fof(f15325,plain,
! [X0,X1] :
( ~ line(a1a2)
| ~ line(X0)
| X1 = a1a2
| sK1_skl(a1a2,X0) = a1
| ~ incident(a1,X1)
| ~ incident(sK1_skl(a1a2,X0),X1) ),
inference(resolution,[status(thm)],[f409,f137]) ).
fof(f15326,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(a1a2)
| X1 = a1a2
| sK1_skl(X0,a1a2) = a1
| ~ incident(a1,X1)
| ~ incident(sK1_skl(X0,a1a2),X1) ),
inference(resolution,[status(thm)],[f409,f136]) ).
fof(f15330,plain,
! [X0,X1] :
( ~ point(a1)
| ~ point(X1)
| sK0_skl(a1,X1) = a1a2
| X0 = a1
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(a1,X1)) ),
inference(resolution,[status(thm)],[f409,f133]) ).
fof(f15331,plain,
! [X0,X1] :
( ~ point(X1)
| ~ point(a1)
| sK0_skl(X1,a1) = a1a2
| X0 = a1
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(X1,a1)) ),
inference(resolution,[status(thm)],[f409,f132]) ).
fof(f15340,definition,
! [X0] :
( sQ648_spl
<=> ( X0 = a1a2
| ~ incident(a1,X0)
| ~ incident(b3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ648_spl])],[split_symbol_definition]) ).
fof(f15343,plain,
( ~ sQ7_spl
| sQ187_spl
| sQ648_spl ),
inference(split_clause,[status(thm)],[f15324,f15340,f1393,f162]) ).
fof(f15344,definition,
! [X0,X1] :
( sQ649_spl
<=> ( ~ line(X0)
| X1 = a1a2
| sK1_skl(a1a2,X0) = a1
| ~ incident(a1,X1)
| ~ incident(sK1_skl(a1a2,X0),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ649_spl])],[split_symbol_definition]) ).
fof(f15347,plain,
( ~ sQ154_spl
| sQ649_spl ),
inference(split_clause,[status(thm)],[f15325,f15344,f1150]) ).
fof(f15348,definition,
! [X0,X1] :
( sQ650_spl
<=> ( ~ line(X0)
| X1 = a1a2
| sK1_skl(X0,a1a2) = a1
| ~ incident(a1,X1)
| ~ incident(sK1_skl(X0,a1a2),X1) ) ),
introduced(definition,[new_symbols(definition,[sQ650_spl])],[split_symbol_definition]) ).
fof(f15351,plain,
( ~ sQ154_spl
| sQ650_spl ),
inference(split_clause,[status(thm)],[f15326,f15348,f1150]) ).
fof(f15355,definition,
! [X0,X1] :
( sQ651_spl
<=> ( ~ point(X1)
| sK0_skl(a1,X1) = a1a2
| X0 = a1
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(a1,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ651_spl])],[split_symbol_definition]) ).
fof(f15358,plain,
( ~ sQ311_spl
| sQ651_spl ),
inference(split_clause,[status(thm)],[f15330,f15355,f4628]) ).
fof(f15359,definition,
! [X0,X1] :
( sQ652_spl
<=> ( ~ point(X1)
| sK0_skl(X1,a1) = a1a2
| X0 = a1
| ~ incident(X0,a1a2)
| ~ incident(X0,sK0_skl(X1,a1)) ) ),
introduced(definition,[new_symbols(definition,[sQ652_spl])],[split_symbol_definition]) ).
fof(f15362,plain,
( ~ sQ311_spl
| sQ652_spl ),
inference(split_clause,[status(thm)],[f15331,f15359,f4628]) ).
fof(f15365,plain,
( ~ sQ494_spl
| a1a2 = b1b2
| ~ incident(b2,a1a2) ),
inference(resolution,[status(thm)],[f11864,f86]) ).
fof(f15366,plain,
! [X0] :
( ~ sQ494_spl
| ~ point(p3)
| ~ point(X0)
| sK0_skl(p3,X0) = b1b2
| ~ incident(b2,sK0_skl(p3,X0)) ),
inference(resolution,[status(thm)],[f11864,f133]) ).
fof(f15367,plain,
! [X0] :
( ~ sQ494_spl
| ~ point(X0)
| ~ point(p3)
| sK0_skl(X0,p3) = b1b2
| ~ incident(b2,sK0_skl(X0,p3)) ),
inference(resolution,[status(thm)],[f11864,f132]) ).
fof(f15369,plain,
( ~ sQ494_spl
| sQ14_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f15365,f1123,f193,f11863]) ).
fof(f15370,definition,
! [X0] :
( sQ653_spl
<=> ( ~ point(X0)
| sK0_skl(p3,X0) = b1b2
| ~ incident(b2,sK0_skl(p3,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ653_spl])],[split_symbol_definition]) ).
fof(f15373,plain,
( ~ sQ494_spl
| ~ sQ101_spl
| sQ653_spl ),
inference(split_clause,[status(thm)],[f15366,f15370,f775,f11863]) ).
fof(f15374,definition,
! [X0] :
( sQ654_spl
<=> ( ~ point(X0)
| sK0_skl(X0,p3) = b1b2
| ~ incident(b2,sK0_skl(X0,p3)) ) ),
introduced(definition,[new_symbols(definition,[sQ654_spl])],[split_symbol_definition]) ).
fof(f15377,plain,
( ~ sQ494_spl
| ~ sQ101_spl
| sQ654_spl ),
inference(split_clause,[status(thm)],[f15367,f15374,f775,f11863]) ).
fof(f15391,plain,
( ~ sQ559_spl
| s1 = s1
| ~ incident(b1,s1) ),
inference(resolution,[status(thm)],[f13638,f80]) ).
fof(f15392,plain,
( ~ sQ559_spl
| a3a1 = s1
| ~ incident(b1,a3a1) ),
inference(resolution,[status(thm)],[f13638,f70]) ).
fof(f15393,plain,
! [X0] :
( ~ sQ559_spl
| ~ point(a1)
| ~ point(X0)
| sK0_skl(a1,X0) = s1
| ~ incident(b1,sK0_skl(a1,X0)) ),
inference(resolution,[status(thm)],[f13638,f133]) ).
fof(f15394,plain,
! [X0] :
( ~ sQ559_spl
| ~ point(X0)
| ~ point(a1)
| sK0_skl(X0,a1) = s1
| ~ incident(b1,sK0_skl(X0,a1)) ),
inference(resolution,[status(thm)],[f13638,f132]) ).
fof(f15396,plain,
( ~ sQ559_spl
| sQ38_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f15391,f516,f482,f13637]) ).
fof(f15397,plain,
( ~ sQ559_spl
| sQ305_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f15392,f853,f4606,f13637]) ).
fof(f15398,definition,
! [X0] :
( sQ655_spl
<=> ( ~ point(X0)
| sK0_skl(a1,X0) = s1
| ~ incident(b1,sK0_skl(a1,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ655_spl])],[split_symbol_definition]) ).
fof(f15401,plain,
( ~ sQ559_spl
| ~ sQ311_spl
| sQ655_spl ),
inference(split_clause,[status(thm)],[f15393,f15398,f4628,f13637]) ).
fof(f15402,definition,
! [X0] :
( sQ656_spl
<=> ( ~ point(X0)
| sK0_skl(X0,a1) = s1
| ~ incident(b1,sK0_skl(X0,a1)) ) ),
introduced(definition,[new_symbols(definition,[sQ656_spl])],[split_symbol_definition]) ).
fof(f15405,plain,
( ~ sQ559_spl
| ~ sQ311_spl
| sQ656_spl ),
inference(split_clause,[status(thm)],[f15394,f15402,f4628,f13637]) ).
fof(f15407,plain,
( ~ sQ563_spl
| b1b2 = s1
| ~ incident(s,b1b2) ),
inference(resolution,[status(thm)],[f13655,f71]) ).
fof(f15408,plain,
( ~ sQ563_spl
| s1 = s1
| ~ incident(s,s1) ),
inference(resolution,[status(thm)],[f13655,f83]) ).
fof(f15409,plain,
! [X0] :
( ~ sQ563_spl
| ~ point(b1)
| ~ point(X0)
| sK0_skl(b1,X0) = s1
| ~ incident(s,sK0_skl(b1,X0)) ),
inference(resolution,[status(thm)],[f13655,f133]) ).
fof(f15410,plain,
! [X0] :
( ~ sQ563_spl
| ~ point(X0)
| ~ point(b1)
| sK0_skl(X0,b1) = s1
| ~ incident(s,sK0_skl(X0,b1)) ),
inference(resolution,[status(thm)],[f13655,f132]) ).
fof(f15412,plain,
( ~ sQ563_spl
| sQ245_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f15407,f2827,f3298,f13654]) ).
fof(f15413,plain,
( ~ sQ563_spl
| sQ38_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f15408,f479,f482,f13654]) ).
fof(f15414,definition,
! [X0] :
( sQ657_spl
<=> ( ~ point(X0)
| sK0_skl(b1,X0) = s1
| ~ incident(s,sK0_skl(b1,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ657_spl])],[split_symbol_definition]) ).
fof(f15417,plain,
( ~ sQ563_spl
| ~ sQ249_spl
| sQ657_spl ),
inference(split_clause,[status(thm)],[f15409,f15414,f3313,f13654]) ).
fof(f15418,definition,
! [X0] :
( sQ658_spl
<=> ( ~ point(X0)
| sK0_skl(X0,b1) = s1
| ~ incident(s,sK0_skl(X0,b1)) ) ),
introduced(definition,[new_symbols(definition,[sQ658_spl])],[split_symbol_definition]) ).
fof(f15421,plain,
( ~ sQ563_spl
| ~ sQ249_spl
| sQ658_spl ),
inference(split_clause,[status(thm)],[f15410,f15418,f3313,f13654]) ).
fof(f15424,plain,
( ~ sQ136_spl
| ~ sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f12742,f962,f965,f1048]) ).
fof(f15425,plain,
( sQ426_spl
| ~ sQ150_spl
| ~ sQ429_spl ),
inference(split_clause,[status(thm)],[f12872,f9018,f1133,f8995]) ).
fof(f15426,plain,
( sQ301_spl
| ~ sQ247_spl
| ~ sQ307_spl ),
inference(split_clause,[status(thm)],[f7233,f4614,f3305,f4582]) ).
fof(f15430,plain,
( ~ sQ3_spl
| ~ sQ175_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f5866,f2921,f1291,f149]) ).
fof(f15431,plain,
( ~ sQ446_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f9733,f2921,f9723]) ).
fof(f15434,plain,
( ~ sQ420_spl
| sQ439_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9421,f9293]) ).
fof(f15435,plain,
( ~ sQ420_spl
| sQ439_spl ),
inference(contradiction_clause,[status(thm)],[f15434]) ).
fof(f15438,plain,
( ~ sQ173_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f12204,f2827,f1284]) ).
fof(f15439,plain,
( ~ sQ278_spl
| ~ sQ270_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f9095,f6439,f4034,f4079]) ).
fof(f15440,plain,
( sQ292_spl
| ~ sQ420_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f9419,f149,f8860,f4355]) ).
fof(f15472,plain,
! [X0,X1] :
( ~ sQ153_spl
| X1 = a1a2
| X0 = sK1_skl(b1b2,a1a2)
| ~ incident(p3,X1)
| ~ incident(X0,a1a2)
| ~ incident(X0,X1)
| ~ line(b1b2) ),
inference(paramodulation,[status(thm)],[f1148,f732]) ).
fof(f15473,plain,
! [X0,X1] :
( ~ sQ176_spl
| X1 = b1b2
| X0 = sK1_skl(a1a2,b1b2)
| ~ incident(p3,X1)
| ~ incident(X0,b1b2)
| ~ incident(X0,X1)
| ~ line(a1a2) ),
inference(paramodulation,[status(thm)],[f1329,f732]) ).
fof(f15474,plain,
! [X0,X1] :
( ~ sQ116_spl
| X1 = b3b1
| X0 = sK1_skl(a3a1,b3b1)
| ~ incident(p2,X1)
| ~ incident(X0,b3b1)
| ~ incident(X0,X1)
| ~ line(a3a1) ),
inference(paramodulation,[status(thm)],[f890,f732]) ).
fof(f15475,plain,
! [X0,X1] :
( ~ sQ114_spl
| X1 = a3a1
| X0 = sK1_skl(b3b1,a3a1)
| ~ incident(p2,X1)
| ~ incident(X0,a3a1)
| ~ incident(X0,X1)
| ~ line(b3b1) ),
inference(paramodulation,[status(thm)],[f864,f732]) ).
fof(f15476,plain,
! [X0,X1] :
( ~ sQ134_spl
| X1 = a2a3
| X0 = sK1_skl(b2b3,a2a3)
| ~ incident(p1,X1)
| ~ incident(X0,a2a3)
| ~ incident(X0,X1)
| ~ line(b2b3) ),
inference(paramodulation,[status(thm)],[f1023,f732]) ).
fof(f15477,plain,
! [X0,X1] :
( ~ sQ136_spl
| X1 = b2b3
| X0 = sK1_skl(a2a3,b2b3)
| ~ incident(p1,X1)
| ~ incident(X0,b2b3)
| ~ incident(X0,X1)
| ~ line(a2a3) ),
inference(paramodulation,[status(thm)],[f1049,f732]) ).
fof(f15480,definition,
! [X0,X1] :
( sQ659_spl
<=> ( X1 = a1a2
| X0 = sK1_skl(b1b2,a1a2)
| ~ incident(p3,X1)
| ~ incident(X0,a1a2)
| ~ incident(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ659_spl])],[split_symbol_definition]) ).
fof(f15483,plain,
( ~ sQ153_spl
| sQ659_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f15472,f1114,f15480,f1147]) ).
fof(f15484,definition,
! [X0,X1] :
( sQ660_spl
<=> ( X1 = b1b2
| X0 = sK1_skl(a1a2,b1b2)
| ~ incident(p3,X1)
| ~ incident(X0,b1b2)
| ~ incident(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ660_spl])],[split_symbol_definition]) ).
fof(f15487,plain,
( ~ sQ176_spl
| sQ660_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f15473,f1150,f15484,f1328]) ).
fof(f15488,definition,
! [X0,X1] :
( sQ661_spl
<=> ( X1 = b3b1
| X0 = sK1_skl(a3a1,b3b1)
| ~ incident(p2,X1)
| ~ incident(X0,b3b1)
| ~ incident(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ661_spl])],[split_symbol_definition]) ).
fof(f15491,plain,
( ~ sQ116_spl
| sQ661_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f15474,f866,f15488,f889]) ).
fof(f15492,definition,
! [X0,X1] :
( sQ662_spl
<=> ( X1 = a3a1
| X0 = sK1_skl(b3b1,a3a1)
| ~ incident(p2,X1)
| ~ incident(X0,a3a1)
| ~ incident(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ662_spl])],[split_symbol_definition]) ).
fof(f15495,plain,
( ~ sQ114_spl
| sQ662_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f15475,f837,f15492,f863]) ).
fof(f15496,definition,
! [X0,X1] :
( sQ663_spl
<=> ( X1 = a2a3
| X0 = sK1_skl(b2b3,a2a3)
| ~ incident(p1,X1)
| ~ incident(X0,a2a3)
| ~ incident(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ663_spl])],[split_symbol_definition]) ).
fof(f15499,plain,
( ~ sQ134_spl
| sQ663_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f15476,f946,f15496,f1022]) ).
fof(f15500,definition,
! [X0,X1] :
( sQ664_spl
<=> ( X1 = b2b3
| X0 = sK1_skl(a2a3,b2b3)
| ~ incident(p1,X1)
| ~ incident(X0,b2b3)
| ~ incident(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ664_spl])],[split_symbol_definition]) ).
fof(f15503,plain,
( ~ sQ136_spl
| sQ664_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f15477,f1025,f15500,f1048]) ).
fof(f15510,plain,
( ~ sQ501_spl
| b1b2 = a1a2
| ~ incident(a2,b1b2) ),
inference(resolution,[status(thm)],[f12058,f87]) ).
fof(f15512,plain,
! [X0] :
( ~ sQ501_spl
| ~ point(p3)
| ~ point(X0)
| sK0_skl(p3,X0) = a1a2
| ~ incident(a2,sK0_skl(p3,X0)) ),
inference(resolution,[status(thm)],[f12058,f133]) ).
fof(f15513,plain,
! [X0] :
( ~ sQ501_spl
| ~ point(X0)
| ~ point(p3)
| sK0_skl(X0,p3) = a1a2
| ~ incident(a2,sK0_skl(X0,p3)) ),
inference(resolution,[status(thm)],[f12058,f132]) ).
fof(f15514,definition,
( sQ665_spl
<=> incident(a2,b1b2) ),
introduced(definition,[new_symbols(definition,[sQ665_spl])],[split_symbol_definition]) ).
fof(f15517,plain,
( ~ sQ501_spl
| sQ14_spl
| ~ sQ665_spl ),
inference(split_clause,[status(thm)],[f15510,f15514,f193,f12057]) ).
fof(f15519,definition,
! [X0] :
( sQ666_spl
<=> ( ~ point(X0)
| sK0_skl(p3,X0) = a1a2
| ~ incident(a2,sK0_skl(p3,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ666_spl])],[split_symbol_definition]) ).
fof(f15522,plain,
( ~ sQ501_spl
| ~ sQ101_spl
| sQ666_spl ),
inference(split_clause,[status(thm)],[f15512,f15519,f775,f12057]) ).
fof(f15523,definition,
! [X0] :
( sQ667_spl
<=> ( ~ point(X0)
| sK0_skl(X0,p3) = a1a2
| ~ incident(a2,sK0_skl(X0,p3)) ) ),
introduced(definition,[new_symbols(definition,[sQ667_spl])],[split_symbol_definition]) ).
fof(f15526,plain,
( ~ sQ501_spl
| ~ sQ101_spl
| sQ667_spl ),
inference(split_clause,[status(thm)],[f15513,f15523,f775,f12057]) ).
fof(f15537,plain,
( ~ sQ566_spl
| b3b1 = b3b1
| ~ incident(b1,b3b1) ),
inference(resolution,[status(thm)],[f13845,f91]) ).
fof(f15539,plain,
! [X0] :
( ~ sQ566_spl
| ~ point(p2)
| ~ point(X0)
| sK0_skl(p2,X0) = b3b1
| ~ incident(b1,sK0_skl(p2,X0)) ),
inference(resolution,[status(thm)],[f13845,f133]) ).
fof(f15540,plain,
! [X0] :
( ~ sQ566_spl
| ~ point(X0)
| ~ point(p2)
| sK0_skl(X0,p2) = b3b1
| ~ incident(b1,sK0_skl(X0,p2)) ),
inference(resolution,[status(thm)],[f13845,f132]) ).
fof(f15541,plain,
( ~ sQ566_spl
| sQ19_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f15537,f523,f417,f13844]) ).
fof(f15543,definition,
! [X0] :
( sQ668_spl
<=> ( ~ point(X0)
| sK0_skl(p2,X0) = b3b1
| ~ incident(b1,sK0_skl(p2,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ668_spl])],[split_symbol_definition]) ).
fof(f15546,plain,
( ~ sQ566_spl
| ~ sQ105_spl
| sQ668_spl ),
inference(split_clause,[status(thm)],[f15539,f15543,f819,f13844]) ).
fof(f15547,definition,
! [X0] :
( sQ669_spl
<=> ( ~ point(X0)
| sK0_skl(X0,p2) = b3b1
| ~ incident(b1,sK0_skl(X0,p2)) ) ),
introduced(definition,[new_symbols(definition,[sQ669_spl])],[split_symbol_definition]) ).
fof(f15550,plain,
( ~ sQ566_spl
| ~ sQ105_spl
| sQ669_spl ),
inference(split_clause,[status(thm)],[f15540,f15547,f819,f13844]) ).
fof(f15551,plain,
( ~ sQ585_spl
| a1a2 = a3a1
| ~ incident(a3,a1a2) ),
inference(resolution,[status(thm)],[f14141,f65]) ).
fof(f15553,plain,
( ~ sQ585_spl
| a3a1 = a3a1
| ~ incident(a3,a3a1) ),
inference(resolution,[status(thm)],[f14141,f70]) ).
fof(f15554,plain,
! [X0] :
( ~ sQ585_spl
| ~ point(a1)
| ~ point(X0)
| sK0_skl(a1,X0) = a3a1
| ~ incident(a3,sK0_skl(a1,X0)) ),
inference(resolution,[status(thm)],[f14141,f133]) ).
fof(f15555,plain,
! [X0] :
( ~ sQ585_spl
| ~ point(X0)
| ~ point(a1)
| sK0_skl(X0,a1) = a3a1
| ~ incident(a3,sK0_skl(X0,a1)) ),
inference(resolution,[status(thm)],[f14141,f132]) ).
fof(f15556,plain,
( ~ sQ585_spl
| sQ268_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f15551,f1137,f4027,f14140]) ).
fof(f15558,plain,
( ~ sQ585_spl
| sQ21_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f15553,f539,f424,f14140]) ).
fof(f15559,definition,
! [X0] :
( sQ670_spl
<=> ( ~ point(X0)
| sK0_skl(a1,X0) = a3a1
| ~ incident(a3,sK0_skl(a1,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ670_spl])],[split_symbol_definition]) ).
fof(f15562,plain,
( ~ sQ585_spl
| ~ sQ311_spl
| sQ670_spl ),
inference(split_clause,[status(thm)],[f15554,f15559,f4628,f14140]) ).
fof(f15563,definition,
! [X0] :
( sQ671_spl
<=> ( ~ point(X0)
| sK0_skl(X0,a1) = a3a1
| ~ incident(a3,sK0_skl(X0,a1)) ) ),
introduced(definition,[new_symbols(definition,[sQ671_spl])],[split_symbol_definition]) ).
fof(f15566,plain,
( ~ sQ585_spl
| ~ sQ311_spl
| sQ671_spl ),
inference(split_clause,[status(thm)],[f15555,f15563,f4628,f14140]) ).
fof(f15569,plain,
! [X0] :
( ~ sQ586_spl
| ~ point(p2)
| ~ point(X0)
| sK0_skl(p2,X0) = a3a1
| ~ incident(a3,sK0_skl(p2,X0)) ),
inference(resolution,[status(thm)],[f14145,f133]) ).
fof(f15570,plain,
! [X0] :
( ~ sQ586_spl
| ~ point(X0)
| ~ point(p2)
| sK0_skl(X0,p2) = a3a1
| ~ incident(a3,sK0_skl(X0,p2)) ),
inference(resolution,[status(thm)],[f14145,f132]) ).
fof(f15571,definition,
( sQ672_spl
<=> incident(a3,b3b1) ),
introduced(definition,[new_symbols(definition,[sQ672_spl])],[split_symbol_definition]) ).
fof(f15576,definition,
! [X0] :
( sQ673_spl
<=> ( ~ point(X0)
| sK0_skl(p2,X0) = a3a1
| ~ incident(a3,sK0_skl(p2,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ673_spl])],[split_symbol_definition]) ).
fof(f15579,plain,
( ~ sQ586_spl
| ~ sQ105_spl
| sQ673_spl ),
inference(split_clause,[status(thm)],[f15569,f15576,f819,f14144]) ).
fof(f15580,definition,
! [X0] :
( sQ674_spl
<=> ( ~ point(X0)
| sK0_skl(X0,p2) = a3a1
| ~ incident(a3,sK0_skl(X0,p2)) ) ),
introduced(definition,[new_symbols(definition,[sQ674_spl])],[split_symbol_definition]) ).
fof(f15583,plain,
( ~ sQ586_spl
| ~ sQ105_spl
| sQ674_spl ),
inference(split_clause,[status(thm)],[f15570,f15580,f819,f14144]) ).
fof(f15584,plain,
( ~ sQ3_spl
| ~ sQ592_spl
| b3b1 = a2a3
| ~ incident(a3,b3b1) ),
inference(resolution,[status(thm)],[f14189,f150]) ).
fof(f15587,plain,
( ~ sQ592_spl
| a2a3 = a2a3
| ~ incident(a3,a2a3) ),
inference(resolution,[status(thm)],[f14189,f67]) ).
fof(f15588,plain,
! [X0] :
( ~ sQ592_spl
| ~ point(a2)
| ~ point(X0)
| sK0_skl(a2,X0) = a2a3
| ~ incident(a3,sK0_skl(a2,X0)) ),
inference(resolution,[status(thm)],[f14189,f133]) ).
fof(f15589,plain,
! [X0] :
( ~ sQ592_spl
| ~ point(X0)
| ~ point(a2)
| sK0_skl(X0,a2) = a2a3
| ~ incident(a3,sK0_skl(X0,a2)) ),
inference(resolution,[status(thm)],[f14189,f132]) ).
fof(f15590,plain,
( ~ sQ3_spl
| ~ sQ592_spl
| sQ297_spl
| ~ sQ672_spl ),
inference(split_clause,[status(thm)],[f15584,f15571,f4472,f14188,f149]) ).
fof(f15593,plain,
( ~ sQ592_spl
| sQ26_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f15587,f543,f441,f14188]) ).
fof(f15594,definition,
! [X0] :
( sQ675_spl
<=> ( ~ point(X0)
| sK0_skl(a2,X0) = a2a3
| ~ incident(a3,sK0_skl(a2,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ675_spl])],[split_symbol_definition]) ).
fof(f15597,plain,
( ~ sQ592_spl
| ~ sQ283_spl
| sQ675_spl ),
inference(split_clause,[status(thm)],[f15588,f15594,f4098,f14188]) ).
fof(f15598,definition,
! [X0] :
( sQ676_spl
<=> ( ~ point(X0)
| sK0_skl(X0,a2) = a2a3
| ~ incident(a3,sK0_skl(X0,a2)) ) ),
introduced(definition,[new_symbols(definition,[sQ676_spl])],[split_symbol_definition]) ).
fof(f15601,plain,
( ~ sQ592_spl
| ~ sQ283_spl
| sQ676_spl ),
inference(split_clause,[status(thm)],[f15589,f15598,f4098,f14188]) ).
fof(f15648,plain,
( ~ sQ3_spl
| ~ sQ279_spl
| a2 = a2
| ~ incident(a2,s2) ),
inference(resolution,[status(thm)],[f4084,f150]) ).
fof(f15649,plain,
( ~ sQ279_spl
| a2 = b1
| ~ incident(b1,s2) ),
inference(resolution,[status(thm)],[f4084,f76]) ).
fof(f15652,plain,
! [X0] :
( ~ sQ279_spl
| ~ line(b3b1)
| ~ line(X0)
| a2 = sK1_skl(b3b1,X0)
| ~ incident(sK1_skl(b3b1,X0),s2) ),
inference(resolution,[status(thm)],[f4084,f137]) ).
fof(f15653,plain,
! [X0] :
( ~ sQ279_spl
| ~ line(X0)
| ~ line(b3b1)
| a2 = sK1_skl(X0,b3b1)
| ~ incident(sK1_skl(X0,b3b1),s2) ),
inference(resolution,[status(thm)],[f4084,f136]) ).
fof(f15654,plain,
( ~ sQ3_spl
| ~ sQ279_spl
| sQ55_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f15648,f551,f547,f4083,f149]) ).
fof(f15655,plain,
( ~ sQ279_spl
| sQ432_spl
| ~ sQ359_spl ),
inference(split_clause,[status(thm)],[f15649,f6349,f9188,f4083]) ).
fof(f15658,definition,
! [X0] :
( sQ677_spl
<=> ( ~ line(X0)
| a2 = sK1_skl(b3b1,X0)
| ~ incident(sK1_skl(b3b1,X0),s2) ) ),
introduced(definition,[new_symbols(definition,[sQ677_spl])],[split_symbol_definition]) ).
fof(f15661,plain,
( ~ sQ279_spl
| ~ sQ108_spl
| sQ677_spl ),
inference(split_clause,[status(thm)],[f15652,f15658,f837,f4083]) ).
fof(f15662,definition,
! [X0] :
( sQ678_spl
<=> ( ~ line(X0)
| a2 = sK1_skl(X0,b3b1)
| ~ incident(sK1_skl(X0,b3b1),s2) ) ),
introduced(definition,[new_symbols(definition,[sQ678_spl])],[split_symbol_definition]) ).
fof(f15665,plain,
( ~ sQ279_spl
| ~ sQ108_spl
| sQ678_spl ),
inference(split_clause,[status(thm)],[f15653,f15662,f837,f4083]) ).
fof(f15667,plain,
( ~ sQ296_spl
| a2 = b1
| ~ incident(b1,a2a3) ),
inference(resolution,[status(thm)],[f4470,f76]) ).
fof(f15668,plain,
( ~ sQ296_spl
| a2 = p2
| ~ incident(p2,a2a3) ),
inference(resolution,[status(thm)],[f4470,f91]) ).
fof(f15669,plain,
( ~ sQ296_spl
| a2 = b3
| ~ incident(b3,a2a3) ),
inference(resolution,[status(thm)],[f4470,f75]) ).
fof(f15670,plain,
! [X0] :
( ~ sQ296_spl
| ~ line(b3b1)
| ~ line(X0)
| a2 = sK1_skl(b3b1,X0)
| ~ incident(sK1_skl(b3b1,X0),a2a3) ),
inference(resolution,[status(thm)],[f4470,f137]) ).
fof(f15671,plain,
! [X0] :
( ~ sQ296_spl
| ~ line(X0)
| ~ line(b3b1)
| a2 = sK1_skl(X0,b3b1)
| ~ incident(sK1_skl(X0,b3b1),a2a3) ),
inference(resolution,[status(thm)],[f4470,f136]) ).
fof(f15673,plain,
( ~ sQ296_spl
| sQ432_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f15667,f156,f9188,f4469]) ).
fof(f15674,plain,
( ~ sQ296_spl
| sQ133_spl
| ~ sQ286_spl ),
inference(split_clause,[status(thm)],[f15668,f4332,f990,f4469]) ).
fof(f15675,plain,
( ~ sQ296_spl
| sQ195_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f15669,f955,f1803,f4469]) ).
fof(f15676,definition,
! [X0] :
( sQ679_spl
<=> ( ~ line(X0)
| a2 = sK1_skl(b3b1,X0)
| ~ incident(sK1_skl(b3b1,X0),a2a3) ) ),
introduced(definition,[new_symbols(definition,[sQ679_spl])],[split_symbol_definition]) ).
fof(f15679,plain,
( ~ sQ296_spl
| ~ sQ108_spl
| sQ679_spl ),
inference(split_clause,[status(thm)],[f15670,f15676,f837,f4469]) ).
fof(f15680,definition,
! [X0] :
( sQ680_spl
<=> ( ~ line(X0)
| a2 = sK1_skl(X0,b3b1)
| ~ incident(sK1_skl(X0,b3b1),a2a3) ) ),
introduced(definition,[new_symbols(definition,[sQ680_spl])],[split_symbol_definition]) ).
fof(f15683,plain,
( ~ sQ296_spl
| ~ sQ108_spl
| sQ680_spl ),
inference(split_clause,[status(thm)],[f15671,f15680,f837,f4469]) ).
fof(f15688,plain,
! [X0,X1] :
( ~ sQ153_spl
| X1 = b1b2
| X0 = sK1_skl(b1b2,a1a2)
| ~ incident(p3,X1)
| ~ incident(X0,b1b2)
| ~ incident(X0,X1)
| ~ line(a1a2) ),
inference(paramodulation,[status(thm)],[f1148,f750]) ).
fof(f15689,plain,
! [X0,X1] :
( ~ sQ176_spl
| X1 = a1a2
| X0 = sK1_skl(a1a2,b1b2)
| ~ incident(p3,X1)
| ~ incident(X0,a1a2)
| ~ incident(X0,X1)
| ~ line(b1b2) ),
inference(paramodulation,[status(thm)],[f1329,f750]) ).
fof(f15690,plain,
! [X0,X1] :
( ~ sQ116_spl
| X1 = a3a1
| X0 = sK1_skl(a3a1,b3b1)
| ~ incident(p2,X1)
| ~ incident(X0,a3a1)
| ~ incident(X0,X1)
| ~ line(b3b1) ),
inference(paramodulation,[status(thm)],[f890,f750]) ).
fof(f15691,plain,
! [X0,X1] :
( ~ sQ114_spl
| X1 = b3b1
| X0 = sK1_skl(b3b1,a3a1)
| ~ incident(p2,X1)
| ~ incident(X0,b3b1)
| ~ incident(X0,X1)
| ~ line(a3a1) ),
inference(paramodulation,[status(thm)],[f864,f750]) ).
fof(f15692,plain,
! [X0,X1] :
( ~ sQ134_spl
| X1 = b2b3
| X0 = sK1_skl(b2b3,a2a3)
| ~ incident(p1,X1)
| ~ incident(X0,b2b3)
| ~ incident(X0,X1)
| ~ line(a2a3) ),
inference(paramodulation,[status(thm)],[f1023,f750]) ).
fof(f15693,plain,
! [X0,X1] :
( ~ sQ136_spl
| X1 = a2a3
| X0 = sK1_skl(a2a3,b2b3)
| ~ incident(p1,X1)
| ~ incident(X0,a2a3)
| ~ incident(X0,X1)
| ~ line(b2b3) ),
inference(paramodulation,[status(thm)],[f1049,f750]) ).
fof(f15696,definition,
! [X0,X1] :
( sQ681_spl
<=> ( X1 = b1b2
| X0 = sK1_skl(b1b2,a1a2)
| ~ incident(p3,X1)
| ~ incident(X0,b1b2)
| ~ incident(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ681_spl])],[split_symbol_definition]) ).
fof(f15699,plain,
( ~ sQ153_spl
| sQ681_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f15688,f1150,f15696,f1147]) ).
fof(f15700,definition,
! [X0,X1] :
( sQ682_spl
<=> ( X1 = a1a2
| X0 = sK1_skl(a1a2,b1b2)
| ~ incident(p3,X1)
| ~ incident(X0,a1a2)
| ~ incident(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ682_spl])],[split_symbol_definition]) ).
fof(f15703,plain,
( ~ sQ176_spl
| sQ682_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f15689,f1114,f15700,f1328]) ).
fof(f15704,definition,
! [X0,X1] :
( sQ683_spl
<=> ( X1 = a3a1
| X0 = sK1_skl(a3a1,b3b1)
| ~ incident(p2,X1)
| ~ incident(X0,a3a1)
| ~ incident(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ683_spl])],[split_symbol_definition]) ).
fof(f15707,plain,
( ~ sQ116_spl
| sQ683_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f15690,f837,f15704,f889]) ).
fof(f15708,definition,
! [X0,X1] :
( sQ684_spl
<=> ( X1 = b3b1
| X0 = sK1_skl(b3b1,a3a1)
| ~ incident(p2,X1)
| ~ incident(X0,b3b1)
| ~ incident(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ684_spl])],[split_symbol_definition]) ).
fof(f15711,plain,
( ~ sQ114_spl
| sQ684_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f15691,f866,f15708,f863]) ).
fof(f15712,definition,
! [X0,X1] :
( sQ685_spl
<=> ( X1 = b2b3
| X0 = sK1_skl(b2b3,a2a3)
| ~ incident(p1,X1)
| ~ incident(X0,b2b3)
| ~ incident(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ685_spl])],[split_symbol_definition]) ).
fof(f15715,plain,
( ~ sQ134_spl
| sQ685_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f15692,f1025,f15712,f1022]) ).
fof(f15716,definition,
! [X0,X1] :
( sQ686_spl
<=> ( X1 = a2a3
| X0 = sK1_skl(a2a3,b2b3)
| ~ incident(p1,X1)
| ~ incident(X0,a2a3)
| ~ incident(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ686_spl])],[split_symbol_definition]) ).
fof(f15719,plain,
( ~ sQ136_spl
| sQ686_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f15693,f946,f15716,f1048]) ).
fof(f15729,plain,
( ~ sQ300_spl
| a2 = b3
| ~ incident(b3,a1a2) ),
inference(resolution,[status(thm)],[f4580,f75]) ).
fof(f15735,plain,
( ~ sQ300_spl
| sQ195_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f15729,f162,f1803,f4579]) ).
fof(f15890,plain,
( sQ251_spl
| ~ sQ432_spl
| ~ incident(b1,s1) ),
inference(backward_demodulation,[status(thm)],[f9189,f3354]) ).
fof(f15898,plain,
( ~ sQ432_spl
| incident(b1,a1a2) ),
inference(backward_demodulation,[status(thm)],[f9189,f66]) ).
fof(f15899,plain,
( ~ sQ432_spl
| incident(b1,s2) ),
inference(backward_demodulation,[status(thm)],[f9189,f81]) ).
fof(f15905,plain,
( sQ251_spl
| ~ sQ432_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f15890,f516,f9188,f3352]) ).
fof(f15909,plain,
( ~ sQ432_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f15898,f1130,f9188]) ).
fof(f15910,plain,
( ~ sQ432_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f15899,f6349,f9188]) ).
fof(f15976,plain,
( ~ sQ563_spl
| ~ sQ5_spl
| a2a3 = s1
| ~ incident(s,a2a3) ),
inference(resolution,[status(thm)],[f157,f13655]) ).
fof(f15987,plain,
( ~ sQ563_spl
| ~ sQ5_spl
| sQ325_spl
| ~ sQ340_spl ),
inference(split_clause,[status(thm)],[f15976,f5494,f4893,f156,f13654]) ).
fof(f15996,plain,
( sQ340_spl
| ~ sQ325_spl
| ~ incident(s,s1) ),
inference(backward_demodulation,[status(thm)],[f4894,f5496]) ).
fof(f16005,plain,
( ~ sQ325_spl
| incident(a3,s1) ),
inference(backward_demodulation,[status(thm)],[f4894,f68]) ).
fof(f16007,plain,
( sQ340_spl
| ~ sQ325_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f15996,f479,f4893,f5494]) ).
fof(f16009,plain,
( ~ sQ325_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f16005,f3366,f4893]) ).
fof(f16258,plain,
( ~ sQ2_spl
| ~ sQ202_spl
| b3 = a1
| ~ incident(a1,b3b1) ),
inference(resolution,[status(thm)],[f2255,f147]) ).
fof(f16264,plain,
( ~ sQ2_spl
| ~ sQ202_spl
| sQ187_spl
| ~ sQ206_spl ),
inference(split_clause,[status(thm)],[f16258,f2286,f1393,f2254,f146]) ).
fof(f16294,plain,
( ~ sQ244_spl
| b1 = b2
| ~ incident(b2,s1) ),
inference(resolution,[status(thm)],[f3296,f72]) ).
fof(f16300,plain,
( ~ sQ244_spl
| sQ11_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f16294,f4799,f181,f3295]) ).
fof(f16303,plain,
( ~ sQ2_spl
| ~ sQ621_spl
| b2b3 = a1a2
| ~ incident(a2,b2b3) ),
inference(resolution,[status(thm)],[f14949,f147]) ).
fof(f16304,plain,
( ~ sQ621_spl
| a3a1 = a1a2
| ~ incident(a2,a3a1) ),
inference(resolution,[status(thm)],[f14949,f70]) ).
fof(f16306,plain,
( ~ sQ621_spl
| a1a2 = a1a2
| ~ incident(a2,a1a2) ),
inference(resolution,[status(thm)],[f14949,f65]) ).
fof(f16307,plain,
! [X0] :
( ~ sQ621_spl
| ~ point(a1)
| ~ point(X0)
| sK0_skl(a1,X0) = a1a2
| ~ incident(a2,sK0_skl(a1,X0)) ),
inference(resolution,[status(thm)],[f14949,f133]) ).
fof(f16308,plain,
! [X0] :
( ~ sQ621_spl
| ~ point(X0)
| ~ point(a1)
| sK0_skl(X0,a1) = a1a2
| ~ incident(a2,sK0_skl(X0,a1)) ),
inference(resolution,[status(thm)],[f14949,f132]) ).
fof(f16309,plain,
( ~ sQ2_spl
| ~ sQ621_spl
| sQ391_spl
| ~ sQ439_spl ),
inference(split_clause,[status(thm)],[f16303,f9291,f7344,f14948,f146]) ).
fof(f16310,plain,
( ~ sQ621_spl
| sQ268_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f16304,f987,f4027,f14948]) ).
fof(f16312,plain,
( ~ sQ621_spl
| sQ31_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f16306,f559,f458,f14948]) ).
fof(f16313,definition,
! [X0] :
( sQ689_spl
<=> ( ~ point(X0)
| sK0_skl(a1,X0) = a1a2
| ~ incident(a2,sK0_skl(a1,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ689_spl])],[split_symbol_definition]) ).
fof(f16316,plain,
( ~ sQ621_spl
| ~ sQ311_spl
| sQ689_spl ),
inference(split_clause,[status(thm)],[f16307,f16313,f4628,f14948]) ).
fof(f16317,definition,
! [X0] :
( sQ690_spl
<=> ( ~ point(X0)
| sK0_skl(X0,a1) = a1a2
| ~ incident(a2,sK0_skl(X0,a1)) ) ),
introduced(definition,[new_symbols(definition,[sQ690_spl])],[split_symbol_definition]) ).
fof(f16320,plain,
( ~ sQ621_spl
| ~ sQ311_spl
| sQ690_spl ),
inference(split_clause,[status(thm)],[f16308,f16317,f4628,f14948]) ).
fof(f16322,plain,
( ~ sQ635_spl
| a3a1 = s1
| ~ incident(s,a3a1) ),
inference(resolution,[status(thm)],[f15098,f70]) ).
fof(f16323,plain,
( ~ sQ635_spl
| s1 = s1
| ~ incident(s,s1) ),
inference(resolution,[status(thm)],[f15098,f80]) ).
fof(f16324,plain,
( ~ sQ635_spl
| a1a2 = s1
| ~ incident(s,a1a2) ),
inference(resolution,[status(thm)],[f15098,f65]) ).
fof(f16325,plain,
! [X0] :
( ~ sQ635_spl
| ~ point(a1)
| ~ point(X0)
| sK0_skl(a1,X0) = s1
| ~ incident(s,sK0_skl(a1,X0)) ),
inference(resolution,[status(thm)],[f15098,f133]) ).
fof(f16326,plain,
! [X0] :
( ~ sQ635_spl
| ~ point(X0)
| ~ point(a1)
| sK0_skl(X0,a1) = s1
| ~ incident(s,sK0_skl(X0,a1)) ),
inference(resolution,[status(thm)],[f15098,f132]) ).
fof(f16328,plain,
( ~ sQ635_spl
| sQ305_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f16322,f2857,f4606,f15097]) ).
fof(f16329,plain,
( ~ sQ635_spl
| sQ38_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f16323,f479,f482,f15097]) ).
fof(f16330,plain,
( ~ sQ635_spl
| sQ307_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f16324,f2831,f4614,f15097]) ).
fof(f16331,definition,
! [X0] :
( sQ691_spl
<=> ( ~ point(X0)
| sK0_skl(a1,X0) = s1
| ~ incident(s,sK0_skl(a1,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ691_spl])],[split_symbol_definition]) ).
fof(f16334,plain,
( ~ sQ635_spl
| ~ sQ311_spl
| sQ691_spl ),
inference(split_clause,[status(thm)],[f16325,f16331,f4628,f15097]) ).
fof(f16335,definition,
! [X0] :
( sQ692_spl
<=> ( ~ point(X0)
| sK0_skl(X0,a1) = s1
| ~ incident(s,sK0_skl(X0,a1)) ) ),
introduced(definition,[new_symbols(definition,[sQ692_spl])],[split_symbol_definition]) ).
fof(f16338,plain,
( ~ sQ635_spl
| ~ sQ311_spl
| sQ692_spl ),
inference(split_clause,[status(thm)],[f16326,f16335,f4628,f15097]) ).
fof(f16371,plain,
( ~ sQ100_spl
| ~ point(p3)
| ~ point(p1)
| ~ point(p1)
| ~ incident(p2,sK0_skl(p3,p1)) ),
inference(resolution,[status(thm)],[f773,f132]) ).
fof(f16372,definition,
( sQ693_spl
<=> incident(p2,sK0_skl(p3,p1)) ),
introduced(definition,[new_symbols(definition,[sQ693_spl])],[split_symbol_definition]) ).
fof(f16375,plain,
( ~ sQ100_spl
| ~ sQ101_spl
| ~ sQ121_spl
| ~ sQ693_spl ),
inference(split_clause,[status(thm)],[f16371,f16372,f927,f775,f772]) ).
fof(f16376,plain,
( ~ sQ102_spl
| ~ point(p1)
| ~ point(p3)
| ~ point(p1)
| ~ incident(p2,sK0_skl(p1,p3)) ),
inference(resolution,[status(thm)],[f780,f133]) ).
fof(f16377,definition,
( sQ694_spl
<=> incident(p2,sK0_skl(p1,p3)) ),
introduced(definition,[new_symbols(definition,[sQ694_spl])],[split_symbol_definition]) ).
fof(f16379,plain,
( sQ694_spl
| ~ incident(p2,sK0_skl(p1,p3)) ),
inference(component_clause,[status(thm)],[f16377]) ).
fof(f16380,plain,
( ~ sQ102_spl
| ~ sQ101_spl
| ~ sQ121_spl
| ~ sQ694_spl ),
inference(split_clause,[status(thm)],[f16376,f16377,f927,f775,f779]) ).
fof(f16439,plain,
( ~ sQ578_spl
| a2a3 = s3
| ~ incident(s,a2a3) ),
inference(resolution,[status(thm)],[f14022,f68]) ).
fof(f16441,plain,
( ~ sQ578_spl
| a3a1 = s3
| ~ incident(s,a3a1) ),
inference(resolution,[status(thm)],[f14022,f69]) ).
fof(f16442,plain,
( ~ sQ578_spl
| s3 = s3
| ~ incident(s,s3) ),
inference(resolution,[status(thm)],[f14022,f82]) ).
fof(f16443,plain,
! [X0] :
( ~ sQ578_spl
| ~ point(a3)
| ~ point(X0)
| sK0_skl(a3,X0) = s3
| ~ incident(s,sK0_skl(a3,X0)) ),
inference(resolution,[status(thm)],[f14022,f133]) ).
fof(f16444,plain,
! [X0] :
( ~ sQ578_spl
| ~ point(X0)
| ~ point(a3)
| sK0_skl(X0,a3) = s3
| ~ incident(s,sK0_skl(X0,a3)) ),
inference(resolution,[status(thm)],[f14022,f132]) ).
fof(f16445,plain,
( ~ sQ578_spl
| sQ189_spl
| ~ sQ340_spl ),
inference(split_clause,[status(thm)],[f16439,f5494,f1444,f14021]) ).
fof(f16447,plain,
( ~ sQ578_spl
| sQ198_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f16441,f2857,f2153,f14021]) ).
fof(f16448,plain,
( ~ sQ578_spl
| sQ34_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f16442,f462,f468,f14021]) ).
fof(f16449,definition,
! [X0] :
( sQ695_spl
<=> ( ~ point(X0)
| sK0_skl(a3,X0) = s3
| ~ incident(s,sK0_skl(a3,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ695_spl])],[split_symbol_definition]) ).
fof(f16452,plain,
( ~ sQ578_spl
| ~ sQ263_spl
| sQ695_spl ),
inference(split_clause,[status(thm)],[f16443,f16449,f3526,f14021]) ).
fof(f16453,definition,
! [X0] :
( sQ696_spl
<=> ( ~ point(X0)
| sK0_skl(X0,a3) = s3
| ~ incident(s,sK0_skl(X0,a3)) ) ),
introduced(definition,[new_symbols(definition,[sQ696_spl])],[split_symbol_definition]) ).
fof(f16456,plain,
( ~ sQ578_spl
| ~ sQ263_spl
| sQ696_spl ),
inference(split_clause,[status(thm)],[f16444,f16453,f3526,f14021]) ).
fof(f16492,plain,
( ~ sQ259_spl
| a3 = b2
| ~ incident(b2,s3) ),
inference(resolution,[status(thm)],[f3511,f72]) ).
fof(f16501,plain,
( ~ sQ259_spl
| sQ533_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f16492,f1281,f12425,f3510]) ).
fof(f16529,plain,
( ~ sQ4_spl
| ~ sQ591_spl
| b1b2 = a2a3
| ~ incident(b1,b1b2) ),
inference(resolution,[status(thm)],[f14185,f153]) ).
fof(f16532,plain,
! [X0] :
( ~ sQ591_spl
| ~ point(a3)
| ~ point(X0)
| sK0_skl(a3,X0) = a2a3
| ~ incident(b1,sK0_skl(a3,X0)) ),
inference(resolution,[status(thm)],[f14185,f133]) ).
fof(f16533,plain,
! [X0] :
( ~ sQ591_spl
| ~ point(X0)
| ~ point(a3)
| sK0_skl(X0,a3) = a2a3
| ~ incident(b1,sK0_skl(X0,a3)) ),
inference(resolution,[status(thm)],[f14185,f132]) ).
fof(f16535,plain,
( ~ sQ4_spl
| ~ sQ591_spl
| sQ412_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f16529,f527,f7965,f14184,f152]) ).
fof(f16538,definition,
! [X0] :
( sQ702_spl
<=> ( ~ point(X0)
| sK0_skl(a3,X0) = a2a3
| ~ incident(b1,sK0_skl(a3,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ702_spl])],[split_symbol_definition]) ).
fof(f16541,plain,
( ~ sQ591_spl
| ~ sQ263_spl
| sQ702_spl ),
inference(split_clause,[status(thm)],[f16532,f16538,f3526,f14184]) ).
fof(f16542,definition,
! [X0] :
( sQ703_spl
<=> ( ~ point(X0)
| sK0_skl(X0,a3) = a2a3
| ~ incident(b1,sK0_skl(X0,a3)) ) ),
introduced(definition,[new_symbols(definition,[sQ703_spl])],[split_symbol_definition]) ).
fof(f16545,plain,
( ~ sQ591_spl
| ~ sQ263_spl
| sQ703_spl ),
inference(split_clause,[status(thm)],[f16533,f16542,f3526,f14184]) ).
fof(f16546,plain,
( ~ sQ153_spl
| ~ sQ148_spl
| b2 = p3 ),
inference(forward_demodulation,[status(thm)],[f1148,f7972]) ).
fof(f16693,plain,
( ~ sQ96_spl
| ~ sQ136_spl
| ~ sQ129_spl
| incident(b2,b1b2) ),
inference(forward_demodulation,[status(thm)],[f12654,f759]) ).
fof(f16694,plain,
( ~ sQ96_spl
| ~ sQ136_spl
| ~ sQ129_spl
| ~ sQ412_spl
| incident(b2,a2a3) ),
inference(forward_demodulation,[status(thm)],[f7966,f16693]) ).
fof(f16697,plain,
( ~ sQ269_spl
| ~ sQ96_spl
| ~ sQ136_spl
| ~ sQ129_spl
| ~ sQ412_spl
| a3 = b2
| ~ incident(b2,a3a1) ),
inference(resolution,[status(thm)],[f16694,f4032]) ).
fof(f16712,plain,
( ~ sQ269_spl
| ~ sQ96_spl
| ~ sQ136_spl
| ~ sQ129_spl
| ~ sQ412_spl
| sQ533_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f16697,f159,f12425,f7965,f965,f1048,f758,f4031]) ).
fof(f16717,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ148_spl
| ~ sQ136_spl
| ~ sQ129_spl
| ~ incident(p2,X0)
| ~ incident(b2,X0)
| ~ incident(b2,X0) ),
inference(forward_demodulation,[status(thm)],[f12654,f4724]) ).
fof(f16718,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ148_spl
| ~ sQ136_spl
| ~ sQ129_spl
| ~ incident(p2,X0)
| ~ incident(b2,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f16717]) ).
fof(f16721,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ148_spl
| ~ sQ136_spl
| ~ sQ129_spl
| ~ point(p2)
| ~ point(X0)
| ~ incident(b2,sK0_skl(p2,X0)) ),
inference(resolution,[status(thm)],[f16718,f133]) ).
fof(f16723,definition,
! [X0] :
( sQ705_spl
<=> ( ~ point(X0)
| ~ incident(b2,sK0_skl(p2,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ705_spl])],[split_symbol_definition]) ).
fof(f16724,plain,
! [X0] :
( ~ sQ705_spl
| ~ point(X0)
| ~ incident(b2,sK0_skl(p2,X0)) ),
inference(component_clause,[status(thm)],[f16723]) ).
fof(f16726,plain,
( ~ sQ0_spl
| ~ sQ148_spl
| ~ sQ136_spl
| ~ sQ129_spl
| ~ sQ105_spl
| sQ705_spl ),
inference(split_clause,[status(thm)],[f16721,f16723,f819,f965,f1048,f1126,f139]) ).
fof(f16767,plain,
( ~ sQ153_spl
| ~ sQ412_spl
| ~ sQ148_spl
| b2 = sK1_skl(a2a3,a1a2) ),
inference(forward_demodulation,[status(thm)],[f16546,f13936]) ).
fof(f16771,plain,
( ~ sQ153_spl
| ~ sQ412_spl
| ~ sQ148_spl
| incident(b2,a2a3)
| ~ line(a2a3)
| ~ line(a1a2) ),
inference(paramodulation,[status(thm)],[f16767,f137]) ).
fof(f16782,plain,
( ~ sQ153_spl
| ~ sQ412_spl
| ~ sQ148_spl
| sQ128_spl
| ~ sQ135_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f16771,f1150,f1025,f962,f1126,f7965,f1147]) ).
fof(f16794,plain,
( ~ sQ705_spl
| ~ point(p2)
| ~ point(b2)
| ~ point(b2) ),
inference(resolution,[status(thm)],[f16724,f132]) ).
fof(f16795,plain,
( ~ sQ705_spl
| ~ sQ105_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f16794,f2409,f819,f16723]) ).
fof(f16840,plain,
( ~ sQ468_spl
| ~ sQ113_spl
| a3a1 = b3b1
| ~ incident(b3,a3a1) ),
inference(resolution,[status(thm)],[f7685,f10906]) ).
fof(f16851,plain,
( ~ sQ468_spl
| ~ sQ113_spl
| sQ16_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f16840,f846,f201,f856,f10905]) ).
fof(f17157,plain,
( sQ694_spl
| ~ sQ113_spl
| ~ incident(b1,sK0_skl(p1,p3)) ),
inference(forward_demodulation,[status(thm)],[f857,f16379]) ).
fof(f17158,plain,
( sQ694_spl
| ~ sQ113_spl
| ~ sQ426_spl
| ~ sQ350_spl
| ~ incident(b1,sK0_skl(p1,b1)) ),
inference(forward_demodulation,[status(thm)],[f10601,f17157]) ).
fof(f17159,plain,
( sQ694_spl
| ~ sQ113_spl
| ~ sQ426_spl
| ~ sQ350_spl
| ~ point(p1)
| ~ point(b1) ),
inference(resolution,[status(thm)],[f17158,f132]) ).
fof(f17160,plain,
( sQ694_spl
| ~ sQ113_spl
| ~ sQ426_spl
| ~ sQ350_spl
| ~ sQ121_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f17159,f3313,f927,f5979,f8995,f856,f16377]) ).
fof(f17161,plain,
$false,
inference(sat_refutation,[status(thm)],[f145,f155,f165,f166,f167,f168,f172,f176,f180,f184,f188,f192,f196,f200,f204,f206,f764,f771,f778,f782,f784,f815,f822,f826,f828,f840,f844,f845,f852,f859,f861,f869,f876,f877,f879,f892,f910,f914,f923,f930,f934,f936,f949,f953,f954,f961,f968,f975,f977,f1028,f1035,f1036,f1038,f1051,f1069,f1073,f1082,f1086,f1090,f1100,f1104,f1117,f1121,f1122,f1129,f1136,f1145,f1153,f1166,f1173,f1180,f1184,f1186,f1193,f1194,f1196,f1216,f1220,f1221,f1228,f1235,f1237,f1275,f1279,f1280,f1287,f1294,f1296,f1331,f1352,f1359,f1366,f1370,f1372,f1382,f1386,f1390,f1391,f1392,f1396,f1447,f1452,f1454,f1456,f1458,f1460,f1564,f1566,f1641,f1662,f1792,f1796,f1800,f1801,f1802,f1820,f1826,f1828,f1837,f1838,f1839,f1841,f1899,f2055,f2168,f2172,f2176,f2183,f2260,f2265,f2269,f2381,f2385,f2397,f2405,f2412,f2416,f2418,f2432,f2436,f2440,f2579,f2664,f2665,f2796,f2797,f2985,f3058,f3118,f3122,f3124,f3126,f3128,f3301,f3308,f3316,f3320,f3322,f3477,f3483,f3487,f3499,f3503,f3513,f3517,f3522,f3529,f3533,f3535,f3545,f3554,f3555,f3558,f3568,f3747,f3772,f4037,f4041,f4045,f4065,f4069,f4082,f4086,f4094,f4101,f4105,f4107,f4122,f4124,f4138,f4169,f4237,f4242,f4339,f4343,f4347,f4351,f4362,f4366,f4368,f4467,f4475,f4480,f4484,f4496,f4585,f4592,f4596,f4609,f4617,f4631,f4635,f4637,f4649,f4656,f4660,f4664,f4678,f4701,f4715,f4729,f4815,f4896,f5104,f5121,f5125,f5187,f5372,f5589,f5703,f5705,f5707,f5709,f5711,f5713,f5715,f5717,f5718,f5725,f5804,f5982,f5987,f6012,f6039,f6337,f6341,f6343,f6352,f6356,f6360,f6364,f6365,f6367,f6413,f6428,f6447,f6453,f6457,f6600,f6604,f6625,f6626,f6627,f6631,f6635,f6636,f6754,f6806,f7021,f7187,f7206,f7208,f7212,f7216,f7425,f7442,f7457,f7492,f7496,f7527,f7541,f7562,f7621,f7622,f7623,f7627,f7631,f7811,f7968,f7990,f8003,f8008,f8012,f8016,f8041,f8046,f8047,f8762,f8763,f8767,f8771,f8859,f8863,f8864,f8868,f8872,f8873,f8879,f8880,f8885,f8889,f8905,f8906,f8998,f9000,f9005,f9009,f9016,f9026,f9030,f9192,f9213,f9227,f9336,f9348,f9378,f9389,f9390,f9399,f9447,f9472,f9473,f9523,f9643,f9726,f9743,f9747,f9932,f9967,f9968,f9969,f9973,f9977,f9985,f9989,f9993,f9999,f10003,f10007,f10014,f10015,f10020,f10024,f10032,f10033,f10041,f10256,f10258,f10279,f10285,f10319,f10439,f10454,f10573,f10763,f10772,f10775,f10850,f10944,f11260,f11442,f11443,f11446,f11518,f11521,f11561,f11620,f11782,f11786,f11790,f11794,f11824,f11828,f11832,f11836,f11866,f11870,f11874,f11878,f11904,f11982,f11984,f11985,f11986,f11987,f12052,f12056,f12060,f12064,f12068,f12108,f12153,f12176,f12180,f12184,f12188,f12213,f12274,f12278,f12282,f12286,f12310,f12316,f12320,f12324,f12336,f12356,f12366,f12370,f12401,f12405,f12409,f12428,f12447,f12448,f12452,f12456,f12484,f12485,f12486,f12491,f12495,f12548,f12552,f12588,f12592,f12596,f12621,f12622,f12658,f12745,f12748,f12752,f12755,f12993,f13240,f13267,f13354,f13402,f13406,f13407,f13412,f13416,f13478,f13479,f13495,f13640,f13649,f13653,f13657,f13708,f13709,f13847,f13849,f13850,f13881,f13885,f13905,f13925,f13955,f14016,f14020,f14024,f14083,f14088,f14092,f14099,f14100,f14104,f14108,f14117,f14122,f14126,f14143,f14147,f14160,f14164,f14187,f14191,f14201,f14205,f14217,f14221,f14225,f14234,f14239,f14243,f14249,f14250,f14251,f14255,f14259,f14276,f14277,f14325,f14327,f14332,f14336,f14358,f14368,f14374,f14378,f14400,f14404,f14433,f14436,f14545,f14546,f14574,f14675,f14882,f14886,f14910,f14911,f14915,f14919,f14951,f14959,f14963,f15024,f15028,f15038,f15042,f15092,f15096,f15100,f15133,f15142,f15146,f15163,f15164,f15166,f15170,f15174,f15220,f15343,f15347,f15351,f15358,f15362,f15369,f15373,f15377,f15396,f15397,f15401,f15405,f15412,f15413,f15417,f15421,f15424,f15425,f15426,f15430,f15431,f15435,f15438,f15439,f15440,f15483,f15487,f15491,f15495,f15499,f15503,f15517,f15522,f15526,f15541,f15546,f15550,f15556,f15558,f15562,f15566,f15579,f15583,f15590,f15593,f15597,f15601,f15654,f15655,f15661,f15665,f15673,f15674,f15675,f15679,f15683,f15699,f15703,f15707,f15711,f15715,f15719,f15735,f15905,f15909,f15910,f15987,f16007,f16009,f16264,f16300,f16309,f16310,f16312,f16316,f16320,f16328,f16329,f16330,f16334,f16338,f16375,f16380,f16445,f16447,f16448,f16452,f16456,f16501,f16535,f16541,f16545,f16712,f16726,f16782,f16795,f16851,f17160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO169+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n005.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sun Sep 20 12:53:08 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.16/5.40 % Drodi V4.1.1
% 29.81/9.40 % Refutation found
% 29.81/9.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 29.81/9.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.51/9.49 % Elapsed time: 4.083136 seconds
% 19.51/9.49 % CPU time: 31.636925 seconds
% 19.51/9.49 % Total memory used: 231.598 MB
% 19.51/9.49 % Net memory used: 212.409 MB
%------------------------------------------------------------------------------