%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO500_8.006 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 : Tue Sep 29 02:26:49 PM UTC 2026
% Result : Theorem 2.99s 1.10s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 81
% Syntax : Number of formulae : 727 ( 14 unt; 0 typ; 79 def)
% Number of atoms : 2857 ( 242 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 2201 ( 912 ~;1183 |; 25 &)
% ( 80 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 849 ( 841 fml; 8 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 89 ( 86 usr; 82 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
bG0: $o ).
tff(func_def_3,type,
bG1: $o ).
tff(func_def_4,type,
bG2: $o ).
tff(func_def_5,type,
bG3: $o ).
tff(func_def_6,type,
bG4: $o ).
tff(func_def_7,type,
bG5: $o ).
tff(func_def_8,type,
bG6: $o ).
tff(func_def_9,type,
bG7: $o ).
tff(func_def_10,type,
bG8: $o ).
tff(func_def_11,type,
bG9: $o ).
tff(func_def_12,type,
bG10: $o ).
tff(func_def_13,type,
bG11: $o ).
tff(func_def_14,type,
bG12: $o ).
tff(func_def_15,type,
bG13: $o ).
tff(func_def_16,type,
bG14: $o ).
tff(func_def_17,type,
bG15: $o ).
tff(func_def_18,type,
bG16: $o ).
tff(func_def_19,type,
bG17: $o ).
tff(func_def_20,type,
bG18: $o ).
tff(func_def_21,type,
bG19: $o ).
tff(func_def_22,type,
bG20: $o ).
tff(func_def_23,type,
bG21: $o ).
tff(func_def_24,type,
bG22: $o ).
tff(func_def_25,type,
bG23: $o ).
tff(pred_def_2,type,
f0: $o > $o ).
tff(pred_def_3,type,
f1: $o > $o ).
tff(pred_def_4,type,
f2: $o > $o ).
tff(pred_def_5,type,
f3: $o > $o ).
tff(pred_def_6,type,
f4: $o > $o ).
tff(pred_def_7,type,
f5: $o > $o ).
tff(f1,conjecture,
f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(x)))))))))))) = f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(x)))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski6) ).
tff(f2,negated_conjecture,
f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(x)))))))))))) != f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(x)))))))))))),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,definition,
( x
<=> ( bG0 = $true ) ),
introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).
tff(f4,definition,
( f5(bG0)
<=> ( $true = bG1 ) ),
introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition]) ).
tff(f5,definition,
( f4(bG1)
<=> ( $true = bG2 ) ),
introduced(definition,[new_symbols(definition,[bG2])],[fool_formula_definition]) ).
tff(f6,definition,
( f4(bG2)
<=> ( $true = bG3 ) ),
introduced(definition,[new_symbols(definition,[bG3])],[fool_formula_definition]) ).
tff(f7,definition,
( f4(bG3)
<=> ( $true = bG4 ) ),
introduced(definition,[new_symbols(definition,[bG4])],[fool_formula_definition]) ).
tff(f8,definition,
( f3(bG4)
<=> ( $true = bG5 ) ),
introduced(definition,[new_symbols(definition,[bG5])],[fool_formula_definition]) ).
tff(f9,definition,
( f2(bG5)
<=> ( $true = bG6 ) ),
introduced(definition,[new_symbols(definition,[bG6])],[fool_formula_definition]) ).
tff(f10,definition,
( f2(bG6)
<=> ( $true = bG7 ) ),
introduced(definition,[new_symbols(definition,[bG7])],[fool_formula_definition]) ).
tff(f11,definition,
( f2(bG7)
<=> ( $true = bG8 ) ),
introduced(definition,[new_symbols(definition,[bG8])],[fool_formula_definition]) ).
tff(f12,definition,
( f1(bG8)
<=> ( $true = bG9 ) ),
introduced(definition,[new_symbols(definition,[bG9])],[fool_formula_definition]) ).
tff(f13,definition,
( f0(bG9)
<=> ( $true = bG10 ) ),
introduced(definition,[new_symbols(definition,[bG10])],[fool_formula_definition]) ).
tff(f14,definition,
( f0(bG10)
<=> ( $true = bG11 ) ),
introduced(definition,[new_symbols(definition,[bG11])],[fool_formula_definition]) ).
tff(f15,definition,
( x
<=> ( $true = bG12 ) ),
introduced(definition,[new_symbols(definition,[bG12])],[fool_formula_definition]) ).
tff(f16,definition,
( f5(bG12)
<=> ( $true = bG13 ) ),
introduced(definition,[new_symbols(definition,[bG13])],[fool_formula_definition]) ).
tff(f17,definition,
( f5(bG13)
<=> ( $true = bG14 ) ),
introduced(definition,[new_symbols(definition,[bG14])],[fool_formula_definition]) ).
tff(f18,definition,
( f5(bG14)
<=> ( $true = bG15 ) ),
introduced(definition,[new_symbols(definition,[bG15])],[fool_formula_definition]) ).
tff(f19,definition,
( f4(bG15)
<=> ( $true = bG16 ) ),
introduced(definition,[new_symbols(definition,[bG16])],[fool_formula_definition]) ).
tff(f20,definition,
( f3(bG16)
<=> ( $true = bG17 ) ),
introduced(definition,[new_symbols(definition,[bG17])],[fool_formula_definition]) ).
tff(f21,definition,
( f3(bG17)
<=> ( $true = bG18 ) ),
introduced(definition,[new_symbols(definition,[bG18])],[fool_formula_definition]) ).
tff(f22,definition,
( f3(bG18)
<=> ( $true = bG19 ) ),
introduced(definition,[new_symbols(definition,[bG19])],[fool_formula_definition]) ).
tff(f23,definition,
( f2(bG19)
<=> ( $true = bG20 ) ),
introduced(definition,[new_symbols(definition,[bG20])],[fool_formula_definition]) ).
tff(f24,definition,
( f1(bG20)
<=> ( $true = bG21 ) ),
introduced(definition,[new_symbols(definition,[bG21])],[fool_formula_definition]) ).
tff(f25,definition,
( f1(bG21)
<=> ( $true = bG22 ) ),
introduced(definition,[new_symbols(definition,[bG22])],[fool_formula_definition]) ).
tff(f26,definition,
( f1(bG22)
<=> ( $true = bG23 ) ),
introduced(definition,[new_symbols(definition,[bG23])],[fool_formula_definition]) ).
tff(f27,plain,
~ ( f0(bG11)
<=> f0(bG23) ),
inference(fool_elimination,[],[f2,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6,f5,f4,f3]) ).
tff(f28,plain,
( f0(bG11)
<~> f0(bG23) ),
inference(ennf_transformation,[],[f27]) ).
tff(f29,plain,
( ( f1(bG22)
| ( $true != bG23 ) )
& ( ( $true = bG23 )
| ~ f1(bG22) ) ),
inference(nnf_transformation,[],[f26]) ).
tff(f30,plain,
( ( f1(bG21)
| ( $true != bG22 ) )
& ( ( $true = bG22 )
| ~ f1(bG21) ) ),
inference(nnf_transformation,[],[f25]) ).
tff(f31,plain,
( ( f1(bG20)
| ( $true != bG21 ) )
& ( ( $true = bG21 )
| ~ f1(bG20) ) ),
inference(nnf_transformation,[],[f24]) ).
tff(f32,plain,
( ( f2(bG19)
| ( $true != bG20 ) )
& ( ( $true = bG20 )
| ~ f2(bG19) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f33,plain,
( ( f3(bG18)
| ( $true != bG19 ) )
& ( ( $true = bG19 )
| ~ f3(bG18) ) ),
inference(nnf_transformation,[],[f22]) ).
tff(f34,plain,
( ( f3(bG17)
| ( $true != bG18 ) )
& ( ( $true = bG18 )
| ~ f3(bG17) ) ),
inference(nnf_transformation,[],[f21]) ).
tff(f35,plain,
( ( f3(bG16)
| ( $true != bG17 ) )
& ( ( $true = bG17 )
| ~ f3(bG16) ) ),
inference(nnf_transformation,[],[f20]) ).
tff(f36,plain,
( ( f4(bG15)
| ( $true != bG16 ) )
& ( ( $true = bG16 )
| ~ f4(bG15) ) ),
inference(nnf_transformation,[],[f19]) ).
tff(f37,plain,
( ( f5(bG14)
| ( $true != bG15 ) )
& ( ( $true = bG15 )
| ~ f5(bG14) ) ),
inference(nnf_transformation,[],[f18]) ).
tff(f38,plain,
( ( f5(bG13)
| ( $true != bG14 ) )
& ( ( $true = bG14 )
| ~ f5(bG13) ) ),
inference(nnf_transformation,[],[f17]) ).
tff(f39,plain,
( ( f5(bG12)
| ( $true != bG13 ) )
& ( ( $true = bG13 )
| ~ f5(bG12) ) ),
inference(nnf_transformation,[],[f16]) ).
tff(f40,plain,
( ( x
| ( $true != bG12 ) )
& ( ( $true = bG12 )
| ~ x ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f41,plain,
( ( f0(bG10)
| ( $true != bG11 ) )
& ( ( $true = bG11 )
| ~ f0(bG10) ) ),
inference(nnf_transformation,[],[f14]) ).
tff(f42,plain,
( ( f0(bG9)
| ( $true != bG10 ) )
& ( ( $true = bG10 )
| ~ f0(bG9) ) ),
inference(nnf_transformation,[],[f13]) ).
tff(f43,plain,
( ( f1(bG8)
| ( $true != bG9 ) )
& ( ( $true = bG9 )
| ~ f1(bG8) ) ),
inference(nnf_transformation,[],[f12]) ).
tff(f44,plain,
( ( f2(bG7)
| ( $true != bG8 ) )
& ( ( $true = bG8 )
| ~ f2(bG7) ) ),
inference(nnf_transformation,[],[f11]) ).
tff(f45,plain,
( ( f2(bG6)
| ( $true != bG7 ) )
& ( ( $true = bG7 )
| ~ f2(bG6) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f46,plain,
( ( f2(bG5)
| ( $true != bG6 ) )
& ( ( $true = bG6 )
| ~ f2(bG5) ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f47,plain,
( ( f3(bG4)
| ( $true != bG5 ) )
& ( ( $true = bG5 )
| ~ f3(bG4) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f48,plain,
( ( f4(bG3)
| ( $true != bG4 ) )
& ( ( $true = bG4 )
| ~ f4(bG3) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f49,plain,
( ( f4(bG2)
| ( $true != bG3 ) )
& ( ( $true = bG3 )
| ~ f4(bG2) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f50,plain,
( ( f4(bG1)
| ( $true != bG2 ) )
& ( ( $true = bG2 )
| ~ f4(bG1) ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f51,plain,
( ( f5(bG0)
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ f5(bG0) ) ),
inference(nnf_transformation,[],[f4]) ).
tff(f52,plain,
( ( x
| ( bG0 != $true ) )
& ( ( bG0 = $true )
| ~ x ) ),
inference(nnf_transformation,[],[f3]) ).
tff(f53,plain,
( ( ~ f0(bG23)
| ~ f0(bG11) )
& ( f0(bG23)
| f0(bG11) ) ),
inference(nnf_transformation,[],[f28]) ).
tff(f54,plain,
( ( $true = bG23 )
| ~ f1(bG22) ),
inference(cnf_transformation,[],[f29]) ).
tff(f55,plain,
( f1(bG22)
| ( $true != bG23 ) ),
inference(cnf_transformation,[],[f29]) ).
tff(f56,plain,
( ( $true = bG22 )
| ~ f1(bG21) ),
inference(cnf_transformation,[],[f30]) ).
tff(f57,plain,
( f1(bG21)
| ( $true != bG22 ) ),
inference(cnf_transformation,[],[f30]) ).
tff(f58,plain,
( ( $true = bG21 )
| ~ f1(bG20) ),
inference(cnf_transformation,[],[f31]) ).
tff(f59,plain,
( f1(bG20)
| ( $true != bG21 ) ),
inference(cnf_transformation,[],[f31]) ).
tff(f60,plain,
( ( $true = bG20 )
| ~ f2(bG19) ),
inference(cnf_transformation,[],[f32]) ).
tff(f61,plain,
( f2(bG19)
| ( $true != bG20 ) ),
inference(cnf_transformation,[],[f32]) ).
tff(f62,plain,
( ( $true = bG19 )
| ~ f3(bG18) ),
inference(cnf_transformation,[],[f33]) ).
tff(f63,plain,
( f3(bG18)
| ( $true != bG19 ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f64,plain,
( ( $true = bG18 )
| ~ f3(bG17) ),
inference(cnf_transformation,[],[f34]) ).
tff(f65,plain,
( f3(bG17)
| ( $true != bG18 ) ),
inference(cnf_transformation,[],[f34]) ).
tff(f66,plain,
( ( $true = bG17 )
| ~ f3(bG16) ),
inference(cnf_transformation,[],[f35]) ).
tff(f67,plain,
( f3(bG16)
| ( $true != bG17 ) ),
inference(cnf_transformation,[],[f35]) ).
tff(f68,plain,
( ( $true = bG16 )
| ~ f4(bG15) ),
inference(cnf_transformation,[],[f36]) ).
tff(f69,plain,
( f4(bG15)
| ( $true != bG16 ) ),
inference(cnf_transformation,[],[f36]) ).
tff(f70,plain,
( ( $true = bG15 )
| ~ f5(bG14) ),
inference(cnf_transformation,[],[f37]) ).
tff(f71,plain,
( f5(bG14)
| ( $true != bG15 ) ),
inference(cnf_transformation,[],[f37]) ).
tff(f72,plain,
( ( $true = bG14 )
| ~ f5(bG13) ),
inference(cnf_transformation,[],[f38]) ).
tff(f73,plain,
( f5(bG13)
| ( $true != bG14 ) ),
inference(cnf_transformation,[],[f38]) ).
tff(f74,plain,
( ( $true = bG13 )
| ~ f5(bG12) ),
inference(cnf_transformation,[],[f39]) ).
tff(f75,plain,
( f5(bG12)
| ( $true != bG13 ) ),
inference(cnf_transformation,[],[f39]) ).
tff(f76,plain,
( ( $true = bG12 )
| ~ x ),
inference(cnf_transformation,[],[f40]) ).
tff(f77,plain,
( x
| ( $true != bG12 ) ),
inference(cnf_transformation,[],[f40]) ).
tff(f78,plain,
( ( $true = bG11 )
| ~ f0(bG10) ),
inference(cnf_transformation,[],[f41]) ).
tff(f79,plain,
( f0(bG10)
| ( $true != bG11 ) ),
inference(cnf_transformation,[],[f41]) ).
tff(f80,plain,
( ( $true = bG10 )
| ~ f0(bG9) ),
inference(cnf_transformation,[],[f42]) ).
tff(f81,plain,
( f0(bG9)
| ( $true != bG10 ) ),
inference(cnf_transformation,[],[f42]) ).
tff(f82,plain,
( ( $true = bG9 )
| ~ f1(bG8) ),
inference(cnf_transformation,[],[f43]) ).
tff(f83,plain,
( f1(bG8)
| ( $true != bG9 ) ),
inference(cnf_transformation,[],[f43]) ).
tff(f84,plain,
( ( $true = bG8 )
| ~ f2(bG7) ),
inference(cnf_transformation,[],[f44]) ).
tff(f85,plain,
( f2(bG7)
| ( $true != bG8 ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f86,plain,
( ( $true = bG7 )
| ~ f2(bG6) ),
inference(cnf_transformation,[],[f45]) ).
tff(f87,plain,
( f2(bG6)
| ( $true != bG7 ) ),
inference(cnf_transformation,[],[f45]) ).
tff(f88,plain,
( ( $true = bG6 )
| ~ f2(bG5) ),
inference(cnf_transformation,[],[f46]) ).
tff(f89,plain,
( f2(bG5)
| ( $true != bG6 ) ),
inference(cnf_transformation,[],[f46]) ).
tff(f90,plain,
( ( $true = bG5 )
| ~ f3(bG4) ),
inference(cnf_transformation,[],[f47]) ).
tff(f91,plain,
( f3(bG4)
| ( $true != bG5 ) ),
inference(cnf_transformation,[],[f47]) ).
tff(f92,plain,
( ( $true = bG4 )
| ~ f4(bG3) ),
inference(cnf_transformation,[],[f48]) ).
tff(f93,plain,
( f4(bG3)
| ( $true != bG4 ) ),
inference(cnf_transformation,[],[f48]) ).
tff(f94,plain,
( ( $true = bG3 )
| ~ f4(bG2) ),
inference(cnf_transformation,[],[f49]) ).
tff(f95,plain,
( f4(bG2)
| ( $true != bG3 ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f96,plain,
( ( $true = bG2 )
| ~ f4(bG1) ),
inference(cnf_transformation,[],[f50]) ).
tff(f97,plain,
( f4(bG1)
| ( $true != bG2 ) ),
inference(cnf_transformation,[],[f50]) ).
tff(f98,plain,
( ( $true = bG1 )
| ~ f5(bG0) ),
inference(cnf_transformation,[],[f51]) ).
tff(f99,plain,
( f5(bG0)
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f51]) ).
tff(f100,plain,
( ( bG0 = $true )
| ~ x ),
inference(cnf_transformation,[],[f52]) ).
tff(f101,plain,
( x
| ( bG0 != $true ) ),
inference(cnf_transformation,[],[f52]) ).
tff(f102,plain,
( f0(bG23)
| f0(bG11) ),
inference(cnf_transformation,[],[f53]) ).
tff(f103,plain,
( ~ f0(bG23)
| ~ f0(bG11) ),
inference(cnf_transformation,[],[f53]) ).
tff(f105,plain,
! [X0: $o] :
( ( $false = (X0) )
| ( $true = (X0) ) ),
introduced(definition,[],[fool_exhaustiveness_axiom]) ).
tff(f107,definition,
( spl24_1
<=> f0(bG11) ),
introduced(definition,[new_symbols(definition,[spl24_1])],[avatar_definition]) ).
tff(f108,plain,
( ~ f0(bG11)
| spl24_1 ),
inference(avatar_component_clause,[],[f107]) ).
tff(f109,plain,
( f0(bG11)
| ~ spl24_1 ),
inference(avatar_component_clause,[],[f107]) ).
tff(f111,definition,
( spl24_2
<=> f0(bG23) ),
introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).
tff(f112,plain,
( ~ f0(bG23)
| spl24_2 ),
inference(avatar_component_clause,[],[f111]) ).
tff(f113,plain,
( f0(bG23)
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f111]) ).
tff(f114,plain,
( spl24_1
| spl24_2 ),
inference(avatar_split_clause,[],[f102,f111,f107]) ).
tff(f115,plain,
( ~ spl24_1
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f103,f111,f107]) ).
tff(f117,definition,
( spl24_3
<=> x ),
introduced(definition,[new_symbols(definition,[spl24_3])],[avatar_definition]) ).
tff(f121,definition,
( spl24_4
<=> ( bG0 = $true ) ),
introduced(definition,[new_symbols(definition,[spl24_4])],[avatar_definition]) ).
tff(f123,plain,
( ( bG0 = $true )
| ~ spl24_4 ),
inference(avatar_component_clause,[],[f121]) ).
tff(f124,plain,
( ~ spl24_3
| spl24_4 ),
inference(avatar_split_clause,[],[f100,f121,f117]) ).
tff(f125,plain,
( ~ spl24_4
| spl24_3 ),
inference(avatar_split_clause,[],[f101,f117,f121]) ).
tff(f127,definition,
( spl24_5
<=> f5(bG0) ),
introduced(definition,[new_symbols(definition,[spl24_5])],[avatar_definition]) ).
tff(f128,plain,
( f5(bG0)
| ~ spl24_5 ),
inference(avatar_component_clause,[],[f127]) ).
tff(f129,plain,
( ~ f5(bG0)
| spl24_5 ),
inference(avatar_component_clause,[],[f127]) ).
tff(f131,definition,
( spl24_6
<=> ( $true = bG1 ) ),
introduced(definition,[new_symbols(definition,[spl24_6])],[avatar_definition]) ).
tff(f133,plain,
( ( $true = bG1 )
| ~ spl24_6 ),
inference(avatar_component_clause,[],[f131]) ).
tff(f134,plain,
( ~ spl24_5
| spl24_6 ),
inference(avatar_split_clause,[],[f98,f131,f127]) ).
tff(f135,plain,
( ~ spl24_6
| spl24_5 ),
inference(avatar_split_clause,[],[f99,f127,f131]) ).
tff(f137,definition,
( spl24_7
<=> f4(bG1) ),
introduced(definition,[new_symbols(definition,[spl24_7])],[avatar_definition]) ).
tff(f138,plain,
( f4(bG1)
| ~ spl24_7 ),
inference(avatar_component_clause,[],[f137]) ).
tff(f139,plain,
( ~ f4(bG1)
| spl24_7 ),
inference(avatar_component_clause,[],[f137]) ).
tff(f141,definition,
( spl24_8
<=> ( $true = bG2 ) ),
introduced(definition,[new_symbols(definition,[spl24_8])],[avatar_definition]) ).
tff(f142,plain,
( ( $true != bG2 )
| spl24_8 ),
inference(avatar_component_clause,[],[f141]) ).
tff(f143,plain,
( ( $true = bG2 )
| ~ spl24_8 ),
inference(avatar_component_clause,[],[f141]) ).
tff(f144,plain,
( ~ spl24_7
| spl24_8 ),
inference(avatar_split_clause,[],[f96,f141,f137]) ).
tff(f145,plain,
( ~ spl24_8
| spl24_7 ),
inference(avatar_split_clause,[],[f97,f137,f141]) ).
tff(f147,definition,
( spl24_9
<=> f4(bG2) ),
introduced(definition,[new_symbols(definition,[spl24_9])],[avatar_definition]) ).
tff(f148,plain,
( f4(bG2)
| ~ spl24_9 ),
inference(avatar_component_clause,[],[f147]) ).
tff(f149,plain,
( ~ f4(bG2)
| spl24_9 ),
inference(avatar_component_clause,[],[f147]) ).
tff(f151,definition,
( spl24_10
<=> ( $true = bG3 ) ),
introduced(definition,[new_symbols(definition,[spl24_10])],[avatar_definition]) ).
tff(f153,plain,
( ( $true = bG3 )
| ~ spl24_10 ),
inference(avatar_component_clause,[],[f151]) ).
tff(f154,plain,
( ~ spl24_9
| spl24_10 ),
inference(avatar_split_clause,[],[f94,f151,f147]) ).
tff(f155,plain,
( ~ spl24_10
| spl24_9 ),
inference(avatar_split_clause,[],[f95,f147,f151]) ).
tff(f157,definition,
( spl24_11
<=> f4(bG3) ),
introduced(definition,[new_symbols(definition,[spl24_11])],[avatar_definition]) ).
tff(f158,plain,
( f4(bG3)
| ~ spl24_11 ),
inference(avatar_component_clause,[],[f157]) ).
tff(f159,plain,
( ~ f4(bG3)
| spl24_11 ),
inference(avatar_component_clause,[],[f157]) ).
tff(f161,definition,
( spl24_12
<=> ( $true = bG4 ) ),
introduced(definition,[new_symbols(definition,[spl24_12])],[avatar_definition]) ).
tff(f163,plain,
( ( $true = bG4 )
| ~ spl24_12 ),
inference(avatar_component_clause,[],[f161]) ).
tff(f164,plain,
( ~ spl24_11
| spl24_12 ),
inference(avatar_split_clause,[],[f92,f161,f157]) ).
tff(f165,plain,
( ~ spl24_12
| spl24_11 ),
inference(avatar_split_clause,[],[f93,f157,f161]) ).
tff(f167,definition,
( spl24_13
<=> f3(bG4) ),
introduced(definition,[new_symbols(definition,[spl24_13])],[avatar_definition]) ).
tff(f168,plain,
( f3(bG4)
| ~ spl24_13 ),
inference(avatar_component_clause,[],[f167]) ).
tff(f169,plain,
( ~ f3(bG4)
| spl24_13 ),
inference(avatar_component_clause,[],[f167]) ).
tff(f171,definition,
( spl24_14
<=> ( $true = bG5 ) ),
introduced(definition,[new_symbols(definition,[spl24_14])],[avatar_definition]) ).
tff(f173,plain,
( ( $true = bG5 )
| ~ spl24_14 ),
inference(avatar_component_clause,[],[f171]) ).
tff(f174,plain,
( ~ spl24_13
| spl24_14 ),
inference(avatar_split_clause,[],[f90,f171,f167]) ).
tff(f175,plain,
( ~ spl24_14
| spl24_13 ),
inference(avatar_split_clause,[],[f91,f167,f171]) ).
tff(f177,definition,
( spl24_15
<=> f2(bG5) ),
introduced(definition,[new_symbols(definition,[spl24_15])],[avatar_definition]) ).
tff(f178,plain,
( f2(bG5)
| ~ spl24_15 ),
inference(avatar_component_clause,[],[f177]) ).
tff(f179,plain,
( ~ f2(bG5)
| spl24_15 ),
inference(avatar_component_clause,[],[f177]) ).
tff(f181,definition,
( spl24_16
<=> ( $true = bG6 ) ),
introduced(definition,[new_symbols(definition,[spl24_16])],[avatar_definition]) ).
tff(f183,plain,
( ( $true = bG6 )
| ~ spl24_16 ),
inference(avatar_component_clause,[],[f181]) ).
tff(f184,plain,
( ~ spl24_15
| spl24_16 ),
inference(avatar_split_clause,[],[f88,f181,f177]) ).
tff(f185,plain,
( ~ spl24_16
| spl24_15 ),
inference(avatar_split_clause,[],[f89,f177,f181]) ).
tff(f187,definition,
( spl24_17
<=> f2(bG6) ),
introduced(definition,[new_symbols(definition,[spl24_17])],[avatar_definition]) ).
tff(f188,plain,
( f2(bG6)
| ~ spl24_17 ),
inference(avatar_component_clause,[],[f187]) ).
tff(f189,plain,
( ~ f2(bG6)
| spl24_17 ),
inference(avatar_component_clause,[],[f187]) ).
tff(f191,definition,
( spl24_18
<=> ( $true = bG7 ) ),
introduced(definition,[new_symbols(definition,[spl24_18])],[avatar_definition]) ).
tff(f193,plain,
( ( $true = bG7 )
| ~ spl24_18 ),
inference(avatar_component_clause,[],[f191]) ).
tff(f194,plain,
( ~ spl24_17
| spl24_18 ),
inference(avatar_split_clause,[],[f86,f191,f187]) ).
tff(f195,plain,
( ~ spl24_18
| spl24_17 ),
inference(avatar_split_clause,[],[f87,f187,f191]) ).
tff(f197,definition,
( spl24_19
<=> f2(bG7) ),
introduced(definition,[new_symbols(definition,[spl24_19])],[avatar_definition]) ).
tff(f198,plain,
( f2(bG7)
| ~ spl24_19 ),
inference(avatar_component_clause,[],[f197]) ).
tff(f199,plain,
( ~ f2(bG7)
| spl24_19 ),
inference(avatar_component_clause,[],[f197]) ).
tff(f201,definition,
( spl24_20
<=> ( $true = bG8 ) ),
introduced(definition,[new_symbols(definition,[spl24_20])],[avatar_definition]) ).
tff(f203,plain,
( ( $true = bG8 )
| ~ spl24_20 ),
inference(avatar_component_clause,[],[f201]) ).
tff(f204,plain,
( ~ spl24_19
| spl24_20 ),
inference(avatar_split_clause,[],[f84,f201,f197]) ).
tff(f205,plain,
( ~ spl24_20
| spl24_19 ),
inference(avatar_split_clause,[],[f85,f197,f201]) ).
tff(f207,definition,
( spl24_21
<=> f1(bG8) ),
introduced(definition,[new_symbols(definition,[spl24_21])],[avatar_definition]) ).
tff(f208,plain,
( f1(bG8)
| ~ spl24_21 ),
inference(avatar_component_clause,[],[f207]) ).
tff(f209,plain,
( ~ f1(bG8)
| spl24_21 ),
inference(avatar_component_clause,[],[f207]) ).
tff(f211,definition,
( spl24_22
<=> ( $true = bG9 ) ),
introduced(definition,[new_symbols(definition,[spl24_22])],[avatar_definition]) ).
tff(f213,plain,
( ( $true = bG9 )
| ~ spl24_22 ),
inference(avatar_component_clause,[],[f211]) ).
tff(f214,plain,
( ~ spl24_21
| spl24_22 ),
inference(avatar_split_clause,[],[f82,f211,f207]) ).
tff(f215,plain,
( ~ spl24_22
| spl24_21 ),
inference(avatar_split_clause,[],[f83,f207,f211]) ).
tff(f217,definition,
( spl24_23
<=> f0(bG9) ),
introduced(definition,[new_symbols(definition,[spl24_23])],[avatar_definition]) ).
tff(f218,plain,
( f0(bG9)
| ~ spl24_23 ),
inference(avatar_component_clause,[],[f217]) ).
tff(f219,plain,
( ~ f0(bG9)
| spl24_23 ),
inference(avatar_component_clause,[],[f217]) ).
tff(f221,definition,
( spl24_24
<=> ( $true = bG10 ) ),
introduced(definition,[new_symbols(definition,[spl24_24])],[avatar_definition]) ).
tff(f222,plain,
( ( $true != bG10 )
| spl24_24 ),
inference(avatar_component_clause,[],[f221]) ).
tff(f223,plain,
( ( $true = bG10 )
| ~ spl24_24 ),
inference(avatar_component_clause,[],[f221]) ).
tff(f224,plain,
( ~ spl24_23
| spl24_24 ),
inference(avatar_split_clause,[],[f80,f221,f217]) ).
tff(f225,plain,
( ~ spl24_24
| spl24_23 ),
inference(avatar_split_clause,[],[f81,f217,f221]) ).
tff(f227,definition,
( spl24_25
<=> f0(bG10) ),
introduced(definition,[new_symbols(definition,[spl24_25])],[avatar_definition]) ).
tff(f228,plain,
( f0(bG10)
| ~ spl24_25 ),
inference(avatar_component_clause,[],[f227]) ).
tff(f229,plain,
( ~ f0(bG10)
| spl24_25 ),
inference(avatar_component_clause,[],[f227]) ).
tff(f231,definition,
( spl24_26
<=> ( $true = bG11 ) ),
introduced(definition,[new_symbols(definition,[spl24_26])],[avatar_definition]) ).
tff(f233,plain,
( ( $true = bG11 )
| ~ spl24_26 ),
inference(avatar_component_clause,[],[f231]) ).
tff(f234,plain,
( ~ spl24_25
| spl24_26 ),
inference(avatar_split_clause,[],[f78,f231,f227]) ).
tff(f235,plain,
( ~ spl24_26
| spl24_25 ),
inference(avatar_split_clause,[],[f79,f227,f231]) ).
tff(f237,definition,
( spl24_27
<=> ( $true = bG12 ) ),
introduced(definition,[new_symbols(definition,[spl24_27])],[avatar_definition]) ).
tff(f239,plain,
( ( $true = bG12 )
| ~ spl24_27 ),
inference(avatar_component_clause,[],[f237]) ).
tff(f240,plain,
( ~ spl24_3
| spl24_27 ),
inference(avatar_split_clause,[],[f76,f237,f117]) ).
tff(f241,plain,
( ~ spl24_27
| spl24_3 ),
inference(avatar_split_clause,[],[f77,f117,f237]) ).
tff(f243,definition,
( spl24_28
<=> f5(bG12) ),
introduced(definition,[new_symbols(definition,[spl24_28])],[avatar_definition]) ).
tff(f244,plain,
( f5(bG12)
| ~ spl24_28 ),
inference(avatar_component_clause,[],[f243]) ).
tff(f245,plain,
( ~ f5(bG12)
| spl24_28 ),
inference(avatar_component_clause,[],[f243]) ).
tff(f247,definition,
( spl24_29
<=> ( $true = bG13 ) ),
introduced(definition,[new_symbols(definition,[spl24_29])],[avatar_definition]) ).
tff(f248,plain,
( ( $true != bG13 )
| spl24_29 ),
inference(avatar_component_clause,[],[f247]) ).
tff(f249,plain,
( ( $true = bG13 )
| ~ spl24_29 ),
inference(avatar_component_clause,[],[f247]) ).
tff(f250,plain,
( ~ spl24_28
| spl24_29 ),
inference(avatar_split_clause,[],[f74,f247,f243]) ).
tff(f251,plain,
( ~ spl24_29
| spl24_28 ),
inference(avatar_split_clause,[],[f75,f243,f247]) ).
tff(f253,definition,
( spl24_30
<=> f5(bG13) ),
introduced(definition,[new_symbols(definition,[spl24_30])],[avatar_definition]) ).
tff(f254,plain,
( f5(bG13)
| ~ spl24_30 ),
inference(avatar_component_clause,[],[f253]) ).
tff(f255,plain,
( ~ f5(bG13)
| spl24_30 ),
inference(avatar_component_clause,[],[f253]) ).
tff(f257,definition,
( spl24_31
<=> ( $true = bG14 ) ),
introduced(definition,[new_symbols(definition,[spl24_31])],[avatar_definition]) ).
tff(f259,plain,
( ( $true = bG14 )
| ~ spl24_31 ),
inference(avatar_component_clause,[],[f257]) ).
tff(f260,plain,
( ~ spl24_30
| spl24_31 ),
inference(avatar_split_clause,[],[f72,f257,f253]) ).
tff(f261,plain,
( ~ spl24_31
| spl24_30 ),
inference(avatar_split_clause,[],[f73,f253,f257]) ).
tff(f263,definition,
( spl24_32
<=> f5(bG14) ),
introduced(definition,[new_symbols(definition,[spl24_32])],[avatar_definition]) ).
tff(f264,plain,
( f5(bG14)
| ~ spl24_32 ),
inference(avatar_component_clause,[],[f263]) ).
tff(f265,plain,
( ~ f5(bG14)
| spl24_32 ),
inference(avatar_component_clause,[],[f263]) ).
tff(f267,definition,
( spl24_33
<=> ( $true = bG15 ) ),
introduced(definition,[new_symbols(definition,[spl24_33])],[avatar_definition]) ).
tff(f268,plain,
( ( $true != bG15 )
| spl24_33 ),
inference(avatar_component_clause,[],[f267]) ).
tff(f269,plain,
( ( $true = bG15 )
| ~ spl24_33 ),
inference(avatar_component_clause,[],[f267]) ).
tff(f270,plain,
( ~ spl24_32
| spl24_33 ),
inference(avatar_split_clause,[],[f70,f267,f263]) ).
tff(f271,plain,
( ~ spl24_33
| spl24_32 ),
inference(avatar_split_clause,[],[f71,f263,f267]) ).
tff(f273,definition,
( spl24_34
<=> f4(bG15) ),
introduced(definition,[new_symbols(definition,[spl24_34])],[avatar_definition]) ).
tff(f274,plain,
( f4(bG15)
| ~ spl24_34 ),
inference(avatar_component_clause,[],[f273]) ).
tff(f275,plain,
( ~ f4(bG15)
| spl24_34 ),
inference(avatar_component_clause,[],[f273]) ).
tff(f277,definition,
( spl24_35
<=> ( $true = bG16 ) ),
introduced(definition,[new_symbols(definition,[spl24_35])],[avatar_definition]) ).
tff(f279,plain,
( ( $true = bG16 )
| ~ spl24_35 ),
inference(avatar_component_clause,[],[f277]) ).
tff(f280,plain,
( ~ spl24_34
| spl24_35 ),
inference(avatar_split_clause,[],[f68,f277,f273]) ).
tff(f281,plain,
( ~ spl24_35
| spl24_34 ),
inference(avatar_split_clause,[],[f69,f273,f277]) ).
tff(f283,definition,
( spl24_36
<=> f3(bG16) ),
introduced(definition,[new_symbols(definition,[spl24_36])],[avatar_definition]) ).
tff(f284,plain,
( f3(bG16)
| ~ spl24_36 ),
inference(avatar_component_clause,[],[f283]) ).
tff(f285,plain,
( ~ f3(bG16)
| spl24_36 ),
inference(avatar_component_clause,[],[f283]) ).
tff(f287,definition,
( spl24_37
<=> ( $true = bG17 ) ),
introduced(definition,[new_symbols(definition,[spl24_37])],[avatar_definition]) ).
tff(f288,plain,
( ( $true != bG17 )
| spl24_37 ),
inference(avatar_component_clause,[],[f287]) ).
tff(f289,plain,
( ( $true = bG17 )
| ~ spl24_37 ),
inference(avatar_component_clause,[],[f287]) ).
tff(f290,plain,
( ~ spl24_36
| spl24_37 ),
inference(avatar_split_clause,[],[f66,f287,f283]) ).
tff(f291,plain,
( ~ spl24_37
| spl24_36 ),
inference(avatar_split_clause,[],[f67,f283,f287]) ).
tff(f293,definition,
( spl24_38
<=> f3(bG17) ),
introduced(definition,[new_symbols(definition,[spl24_38])],[avatar_definition]) ).
tff(f294,plain,
( f3(bG17)
| ~ spl24_38 ),
inference(avatar_component_clause,[],[f293]) ).
tff(f295,plain,
( ~ f3(bG17)
| spl24_38 ),
inference(avatar_component_clause,[],[f293]) ).
tff(f297,definition,
( spl24_39
<=> ( $true = bG18 ) ),
introduced(definition,[new_symbols(definition,[spl24_39])],[avatar_definition]) ).
tff(f298,plain,
( ( $true != bG18 )
| spl24_39 ),
inference(avatar_component_clause,[],[f297]) ).
tff(f299,plain,
( ( $true = bG18 )
| ~ spl24_39 ),
inference(avatar_component_clause,[],[f297]) ).
tff(f300,plain,
( ~ spl24_38
| spl24_39 ),
inference(avatar_split_clause,[],[f64,f297,f293]) ).
tff(f301,plain,
( ~ spl24_39
| spl24_38 ),
inference(avatar_split_clause,[],[f65,f293,f297]) ).
tff(f303,definition,
( spl24_40
<=> f3(bG18) ),
introduced(definition,[new_symbols(definition,[spl24_40])],[avatar_definition]) ).
tff(f304,plain,
( f3(bG18)
| ~ spl24_40 ),
inference(avatar_component_clause,[],[f303]) ).
tff(f305,plain,
( ~ f3(bG18)
| spl24_40 ),
inference(avatar_component_clause,[],[f303]) ).
tff(f307,definition,
( spl24_41
<=> ( $true = bG19 ) ),
introduced(definition,[new_symbols(definition,[spl24_41])],[avatar_definition]) ).
tff(f308,plain,
( ( $true != bG19 )
| spl24_41 ),
inference(avatar_component_clause,[],[f307]) ).
tff(f309,plain,
( ( $true = bG19 )
| ~ spl24_41 ),
inference(avatar_component_clause,[],[f307]) ).
tff(f310,plain,
( ~ spl24_40
| spl24_41 ),
inference(avatar_split_clause,[],[f62,f307,f303]) ).
tff(f311,plain,
( ~ spl24_41
| spl24_40 ),
inference(avatar_split_clause,[],[f63,f303,f307]) ).
tff(f313,definition,
( spl24_42
<=> f2(bG19) ),
introduced(definition,[new_symbols(definition,[spl24_42])],[avatar_definition]) ).
tff(f314,plain,
( f2(bG19)
| ~ spl24_42 ),
inference(avatar_component_clause,[],[f313]) ).
tff(f315,plain,
( ~ f2(bG19)
| spl24_42 ),
inference(avatar_component_clause,[],[f313]) ).
tff(f317,definition,
( spl24_43
<=> ( $true = bG20 ) ),
introduced(definition,[new_symbols(definition,[spl24_43])],[avatar_definition]) ).
tff(f319,plain,
( ( $true = bG20 )
| ~ spl24_43 ),
inference(avatar_component_clause,[],[f317]) ).
tff(f320,plain,
( ~ spl24_42
| spl24_43 ),
inference(avatar_split_clause,[],[f60,f317,f313]) ).
tff(f321,plain,
( ~ spl24_43
| spl24_42 ),
inference(avatar_split_clause,[],[f61,f313,f317]) ).
tff(f323,definition,
( spl24_44
<=> f1(bG20) ),
introduced(definition,[new_symbols(definition,[spl24_44])],[avatar_definition]) ).
tff(f324,plain,
( f1(bG20)
| ~ spl24_44 ),
inference(avatar_component_clause,[],[f323]) ).
tff(f325,plain,
( ~ f1(bG20)
| spl24_44 ),
inference(avatar_component_clause,[],[f323]) ).
tff(f327,definition,
( spl24_45
<=> ( $true = bG21 ) ),
introduced(definition,[new_symbols(definition,[spl24_45])],[avatar_definition]) ).
tff(f329,plain,
( ( $true = bG21 )
| ~ spl24_45 ),
inference(avatar_component_clause,[],[f327]) ).
tff(f330,plain,
( ~ spl24_44
| spl24_45 ),
inference(avatar_split_clause,[],[f58,f327,f323]) ).
tff(f331,plain,
( ~ spl24_45
| spl24_44 ),
inference(avatar_split_clause,[],[f59,f323,f327]) ).
tff(f333,definition,
( spl24_46
<=> f1(bG21) ),
introduced(definition,[new_symbols(definition,[spl24_46])],[avatar_definition]) ).
tff(f334,plain,
( f1(bG21)
| ~ spl24_46 ),
inference(avatar_component_clause,[],[f333]) ).
tff(f335,plain,
( ~ f1(bG21)
| spl24_46 ),
inference(avatar_component_clause,[],[f333]) ).
tff(f337,definition,
( spl24_47
<=> ( $true = bG22 ) ),
introduced(definition,[new_symbols(definition,[spl24_47])],[avatar_definition]) ).
tff(f338,plain,
( ( $true != bG22 )
| spl24_47 ),
inference(avatar_component_clause,[],[f337]) ).
tff(f339,plain,
( ( $true = bG22 )
| ~ spl24_47 ),
inference(avatar_component_clause,[],[f337]) ).
tff(f340,plain,
( ~ spl24_46
| spl24_47 ),
inference(avatar_split_clause,[],[f56,f337,f333]) ).
tff(f341,plain,
( ~ spl24_47
| spl24_46 ),
inference(avatar_split_clause,[],[f57,f333,f337]) ).
tff(f343,definition,
( spl24_48
<=> f1(bG22) ),
introduced(definition,[new_symbols(definition,[spl24_48])],[avatar_definition]) ).
tff(f344,plain,
( f1(bG22)
| ~ spl24_48 ),
inference(avatar_component_clause,[],[f343]) ).
tff(f345,plain,
( ~ f1(bG22)
| spl24_48 ),
inference(avatar_component_clause,[],[f343]) ).
tff(f347,definition,
( spl24_49
<=> ( $true = bG23 ) ),
introduced(definition,[new_symbols(definition,[spl24_49])],[avatar_definition]) ).
tff(f348,plain,
( ( $true != bG23 )
| spl24_49 ),
inference(avatar_component_clause,[],[f347]) ).
tff(f349,plain,
( ( $true = bG23 )
| ~ spl24_49 ),
inference(avatar_component_clause,[],[f347]) ).
tff(f350,plain,
( ~ spl24_48
| spl24_49 ),
inference(avatar_split_clause,[],[f54,f347,f343]) ).
tff(f351,plain,
( ~ spl24_49
| spl24_48 ),
inference(avatar_split_clause,[],[f55,f343,f347]) ).
tff(f358,plain,
( ~ f4($false)
| ( $true = bG2 )
| spl24_9 ),
inference(superposition,[],[f149,f105]) ).
tff(f374,plain,
( ~ f0($false)
| ( $true = bG10 )
| spl24_25 ),
inference(superposition,[],[f229,f105]) ).
tff(f376,plain,
( ~ f0($false)
| ( $true = bG11 )
| spl24_1 ),
inference(superposition,[],[f108,f105]) ).
tff(f380,plain,
( ~ f5($false)
| ( $true = bG13 )
| spl24_30 ),
inference(superposition,[],[f255,f105]) ).
tff(f386,plain,
( ~ f3($false)
| ( $true = bG16 )
| spl24_36 ),
inference(superposition,[],[f285,f105]) ).
tff(f388,plain,
( ~ f3($false)
| ( $true = bG17 )
| spl24_38 ),
inference(superposition,[],[f295,f105]) ).
tff(f390,plain,
( ~ f3($false)
| ( $true = bG18 )
| spl24_40 ),
inference(superposition,[],[f305,f105]) ).
tff(f392,plain,
( ~ f2($false)
| ( $true = bG19 )
| spl24_42 ),
inference(superposition,[],[f315,f105]) ).
tff(f398,plain,
( ~ f1($false)
| ( $true = bG22 )
| spl24_48 ),
inference(superposition,[],[f345,f105]) ).
tff(f400,plain,
( f0($false)
| ( $true = bG23 )
| ~ spl24_2 ),
inference(superposition,[],[f113,f105]) ).
tff(f402,plain,
( f0($false)
| ~ spl24_2
| spl24_49 ),
inference(forward_subsumption_resolution,[],[f400,f348]) ).
tff(f403,plain,
( ~ f1($false)
| spl24_47
| spl24_48 ),
inference(forward_subsumption_resolution,[],[f398,f338]) ).
tff(f406,plain,
( ~ f2($false)
| spl24_41
| spl24_42 ),
inference(forward_subsumption_resolution,[],[f392,f308]) ).
tff(f407,plain,
( ~ f3($false)
| spl24_39
| spl24_40 ),
inference(forward_subsumption_resolution,[],[f390,f298]) ).
tff(f408,plain,
( ~ f3($false)
| spl24_37
| spl24_38 ),
inference(forward_subsumption_resolution,[],[f388,f288]) ).
tff(f412,plain,
( ~ f5($false)
| spl24_29
| spl24_30 ),
inference(forward_subsumption_resolution,[],[f380,f248]) ).
tff(f415,plain,
( ~ f0($false)
| spl24_24
| spl24_25 ),
inference(forward_subsumption_resolution,[],[f374,f222]) ).
tff(f423,plain,
( ~ f4($false)
| spl24_8
| spl24_9 ),
inference(forward_subsumption_resolution,[],[f358,f142]) ).
tff(f426,plain,
( ! [X0: $o] :
( f0((X0))
| ( $true = (X0) ) )
| ~ spl24_2
| spl24_49 ),
inference(superposition,[],[f402,f105]) ).
tff(f429,plain,
( ( $true = bG11 )
| spl24_1
| ~ spl24_2
| spl24_49 ),
inference(forward_subsumption_resolution,[],[f376,f402]) ).
tff(f430,plain,
( spl24_26
| spl24_1
| ~ spl24_2
| spl24_49 ),
inference(avatar_split_clause,[],[f429,f347,f111,f107,f231]) ).
tff(f433,plain,
( ( $true = bG9 )
| ~ spl24_2
| spl24_23
| spl24_49 ),
inference(resolution,[],[f426,f219]) ).
tff(f437,plain,
( spl24_22
| ~ spl24_2
| spl24_23
| spl24_49 ),
inference(avatar_split_clause,[],[f433,f347,f217,f111,f211]) ).
tff(f439,plain,
( ~ f0($true)
| spl24_1
| ~ spl24_26 ),
inference(superposition,[],[f108,f233]) ).
tff(f442,plain,
( f1($false)
| ( $true = bG8 )
| ~ spl24_21 ),
inference(superposition,[],[f208,f105]) ).
tff(f446,plain,
( ~ f0($true)
| ~ spl24_22
| spl24_23 ),
inference(superposition,[],[f219,f213]) ).
tff(f454,plain,
( ( $true = bG8 )
| ~ spl24_21
| spl24_47
| spl24_48 ),
inference(forward_subsumption_resolution,[],[f442,f403]) ).
tff(f455,plain,
( spl24_20
| ~ spl24_21
| spl24_47
| spl24_48 ),
inference(avatar_split_clause,[],[f454,f343,f337,f207,f201]) ).
tff(f456,plain,
( f2($false)
| ( $true = bG7 )
| ~ spl24_19 ),
inference(superposition,[],[f198,f105]) ).
tff(f457,plain,
( ( $true = bG7 )
| ~ spl24_19
| spl24_41
| spl24_42 ),
inference(forward_subsumption_resolution,[],[f456,f406]) ).
tff(f462,plain,
( f0($true)
| ~ spl24_24
| ~ spl24_25 ),
inference(superposition,[],[f228,f223]) ).
tff(f464,plain,
( $false
| spl24_1
| ~ spl24_24
| ~ spl24_25
| ~ spl24_26 ),
inference(forward_subsumption_resolution,[],[f462,f439]) ).
tff(f465,plain,
( spl24_1
| ~ spl24_24
| ~ spl24_25
| ~ spl24_26 ),
inference(avatar_contradiction_clause,[],[f464]) ).
tff(f467,definition,
( spl24_50
<=> f2($false) ),
introduced(definition,[new_symbols(definition,[spl24_50])],[avatar_definition]) ).
tff(f482,definition,
( spl24_51
<=> f1($false) ),
introduced(definition,[new_symbols(definition,[spl24_51])],[avatar_definition]) ).
tff(f493,definition,
( spl24_52
<=> f0($false) ),
introduced(definition,[new_symbols(definition,[spl24_52])],[avatar_definition]) ).
tff(f494,plain,
( ~ f0($false)
| spl24_52 ),
inference(avatar_component_clause,[],[f493]) ).
tff(f495,plain,
( f0($false)
| ~ spl24_52 ),
inference(avatar_component_clause,[],[f493]) ).
tff(f505,plain,
( ! [X0: $o] :
( ~ f0((X0))
| ( $true = (X0) ) )
| spl24_52 ),
inference(superposition,[],[f494,f105]) ).
tff(f508,plain,
( ( $true = bG9 )
| ~ spl24_23
| spl24_52 ),
inference(resolution,[],[f505,f218]) ).
tff(f511,plain,
( spl24_22
| ~ spl24_23
| spl24_52 ),
inference(avatar_split_clause,[],[f508,f493,f217,f211]) ).
tff(f513,plain,
( ~ f0($true)
| ~ spl24_24
| spl24_25 ),
inference(superposition,[],[f229,f223]) ).
tff(f518,plain,
( f3($false)
| ( $true = bG18 )
| ~ spl24_40 ),
inference(superposition,[],[f304,f105]) ).
tff(f519,plain,
( f3($false)
| spl24_39
| ~ spl24_40 ),
inference(forward_subsumption_resolution,[],[f518,f298]) ).
tff(f521,plain,
( f0($true)
| ~ spl24_2
| ~ spl24_49 ),
inference(superposition,[],[f113,f349]) ).
tff(f529,plain,
( $false
| ~ spl24_2
| ~ spl24_24
| spl24_25
| ~ spl24_49 ),
inference(forward_subsumption_resolution,[],[f513,f521]) ).
tff(f530,plain,
( ~ spl24_2
| ~ spl24_24
| spl24_25
| ~ spl24_49 ),
inference(avatar_contradiction_clause,[],[f529]) ).
tff(f531,plain,
( ~ f0($true)
| spl24_2
| ~ spl24_49 ),
inference(forward_demodulation,[],[f112,f349]) ).
tff(f533,plain,
( f0($false)
| ( $true = bG11 )
| ~ spl24_1 ),
inference(superposition,[],[f109,f105]) ).
tff(f547,plain,
( f0($true)
| ~ spl24_22
| ~ spl24_23 ),
inference(superposition,[],[f218,f213]) ).
tff(f549,plain,
( $false
| spl24_2
| ~ spl24_22
| ~ spl24_23
| ~ spl24_49 ),
inference(forward_subsumption_resolution,[],[f547,f531]) ).
tff(f550,plain,
( spl24_2
| ~ spl24_22
| ~ spl24_23
| ~ spl24_49 ),
inference(avatar_contradiction_clause,[],[f549]) ).
tff(f552,plain,
( ~ f1($false)
| ( $true = bG8 )
| spl24_21 ),
inference(superposition,[],[f209,f105]) ).
tff(f558,plain,
( f2($true)
| ~ spl24_41
| ~ spl24_42 ),
inference(superposition,[],[f314,f309]) ).
tff(f561,plain,
( f1($true)
| ~ spl24_43
| ~ spl24_44 ),
inference(superposition,[],[f324,f319]) ).
tff(f568,plain,
( f1($true)
| ~ spl24_47
| ~ spl24_48 ),
inference(superposition,[],[f344,f339]) ).
tff(f571,plain,
( $false
| spl24_37
| spl24_38
| spl24_39
| ~ spl24_40 ),
inference(forward_subsumption_resolution,[],[f519,f408]) ).
tff(f572,plain,
( spl24_37
| spl24_38
| spl24_39
| ~ spl24_40 ),
inference(avatar_contradiction_clause,[],[f571]) ).
tff(f574,definition,
( spl24_53
<=> f3($false) ),
introduced(definition,[new_symbols(definition,[spl24_53])],[avatar_definition]) ).
tff(f583,plain,
( spl24_35
| ~ spl24_53
| spl24_36 ),
inference(avatar_split_clause,[],[f386,f283,f574,f277]) ).
tff(f587,plain,
( f4($false)
| ( $true = bG15 )
| ~ spl24_34 ),
inference(superposition,[],[f274,f105]) ).
tff(f588,plain,
( f4($false)
| spl24_33
| ~ spl24_34 ),
inference(forward_subsumption_resolution,[],[f587,f268]) ).
tff(f590,plain,
( ~ f2($true)
| ~ spl24_14
| spl24_15 ),
inference(superposition,[],[f179,f173]) ).
tff(f592,plain,
( $false
| ~ spl24_14
| spl24_15
| ~ spl24_41
| ~ spl24_42 ),
inference(forward_subsumption_resolution,[],[f590,f558]) ).
tff(f593,plain,
( ~ spl24_14
| spl24_15
| ~ spl24_41
| ~ spl24_42 ),
inference(avatar_contradiction_clause,[],[f592]) ).
tff(f600,plain,
( ~ f3($true)
| ~ spl24_12
| spl24_13 ),
inference(superposition,[],[f169,f163]) ).
tff(f604,plain,
( ~ f3($true)
| ~ spl24_35
| spl24_36 ),
inference(superposition,[],[f285,f279]) ).
tff(f608,plain,
( f3($true)
| ~ spl24_39
| ~ spl24_40 ),
inference(superposition,[],[f304,f299]) ).
tff(f610,plain,
( $false
| ~ spl24_12
| spl24_13
| ~ spl24_39
| ~ spl24_40 ),
inference(forward_subsumption_resolution,[],[f608,f600]) ).
tff(f611,plain,
( ~ spl24_12
| spl24_13
| ~ spl24_39
| ~ spl24_40 ),
inference(avatar_contradiction_clause,[],[f610]) ).
tff(f612,plain,
( f3($true)
| ~ spl24_12
| ~ spl24_13 ),
inference(forward_demodulation,[],[f168,f163]) ).
tff(f616,plain,
( $false
| ~ spl24_12
| ~ spl24_13
| ~ spl24_35
| spl24_36 ),
inference(forward_subsumption_resolution,[],[f604,f612]) ).
tff(f617,plain,
( ~ spl24_12
| ~ spl24_13
| ~ spl24_35
| spl24_36 ),
inference(avatar_contradiction_clause,[],[f616]) ).
tff(f618,plain,
( f3($true)
| ~ spl24_35
| ~ spl24_36 ),
inference(forward_demodulation,[],[f284,f279]) ).
tff(f623,plain,
( ~ f2($true)
| ~ spl24_16
| spl24_17 ),
inference(superposition,[],[f189,f183]) ).
tff(f625,plain,
( $false
| ~ spl24_16
| spl24_17
| ~ spl24_41
| ~ spl24_42 ),
inference(forward_subsumption_resolution,[],[f623,f558]) ).
tff(f626,plain,
( ~ spl24_16
| spl24_17
| ~ spl24_41
| ~ spl24_42 ),
inference(avatar_contradiction_clause,[],[f625]) ).
tff(f627,plain,
( f2($true)
| ~ spl24_16
| ~ spl24_17 ),
inference(forward_demodulation,[],[f188,f183]) ).
tff(f628,plain,
( $false
| spl24_8
| spl24_9
| spl24_33
| ~ spl24_34 ),
inference(forward_subsumption_resolution,[],[f588,f423]) ).
tff(f629,plain,
( spl24_8
| spl24_9
| spl24_33
| ~ spl24_34 ),
inference(avatar_contradiction_clause,[],[f628]) ).
tff(f631,definition,
( spl24_54
<=> f4($false) ),
introduced(definition,[new_symbols(definition,[spl24_54])],[avatar_definition]) ).
tff(f643,plain,
( ~ f4($true)
| ~ spl24_8
| spl24_9 ),
inference(superposition,[],[f149,f143]) ).
tff(f646,plain,
( ~ f2($true)
| ~ spl24_18
| spl24_19 ),
inference(superposition,[],[f199,f193]) ).
tff(f648,plain,
( $false
| ~ spl24_18
| spl24_19
| ~ spl24_41
| ~ spl24_42 ),
inference(forward_subsumption_resolution,[],[f646,f558]) ).
tff(f649,plain,
( ~ spl24_18
| spl24_19
| ~ spl24_41
| ~ spl24_42 ),
inference(avatar_contradiction_clause,[],[f648]) ).
tff(f650,plain,
( f2($true)
| ~ spl24_18
| ~ spl24_19 ),
inference(forward_demodulation,[],[f198,f193]) ).
tff(f651,plain,
( ~ f2($true)
| ~ spl24_41
| spl24_42 ),
inference(forward_demodulation,[],[f315,f309]) ).
tff(f652,plain,
( spl24_20
| ~ spl24_51
| spl24_21 ),
inference(avatar_split_clause,[],[f552,f207,f482,f201]) ).
tff(f660,plain,
( $false
| ~ spl24_18
| ~ spl24_19
| ~ spl24_41
| spl24_42 ),
inference(forward_subsumption_resolution,[],[f651,f650]) ).
tff(f661,plain,
( ~ spl24_18
| ~ spl24_19
| ~ spl24_41
| spl24_42 ),
inference(avatar_contradiction_clause,[],[f660]) ).
tff(f662,plain,
( f2($true)
| ~ spl24_14
| ~ spl24_15 ),
inference(forward_demodulation,[],[f178,f173]) ).
tff(f668,plain,
( ~ f1($true)
| ~ spl24_20
| spl24_21 ),
inference(superposition,[],[f209,f203]) ).
tff(f670,plain,
( $false
| ~ spl24_20
| spl24_21
| ~ spl24_43
| ~ spl24_44 ),
inference(forward_subsumption_resolution,[],[f668,f561]) ).
tff(f671,plain,
( ~ spl24_20
| spl24_21
| ~ spl24_43
| ~ spl24_44 ),
inference(avatar_contradiction_clause,[],[f670]) ).
tff(f676,plain,
( $false
| ~ spl24_14
| ~ spl24_15
| ~ spl24_41
| spl24_42 ),
inference(forward_subsumption_resolution,[],[f662,f651]) ).
tff(f677,plain,
( ~ spl24_14
| ~ spl24_15
| ~ spl24_41
| spl24_42 ),
inference(avatar_contradiction_clause,[],[f676]) ).
tff(f689,plain,
( f4($true)
| ~ spl24_33
| ~ spl24_34 ),
inference(superposition,[],[f274,f269]) ).
tff(f691,plain,
( $false
| ~ spl24_8
| spl24_9
| ~ spl24_33
| ~ spl24_34 ),
inference(forward_subsumption_resolution,[],[f689,f643]) ).
tff(f692,plain,
( ~ spl24_8
| spl24_9
| ~ spl24_33
| ~ spl24_34 ),
inference(avatar_contradiction_clause,[],[f691]) ).
tff(f693,plain,
( f4($true)
| ~ spl24_8
| ~ spl24_9 ),
inference(forward_demodulation,[],[f148,f143]) ).
tff(f696,plain,
( f4($true)
| ~ spl24_10
| ~ spl24_11 ),
inference(superposition,[],[f158,f153]) ).
tff(f702,plain,
( ~ f1($true)
| ~ spl24_43
| spl24_44 ),
inference(superposition,[],[f325,f319]) ).
tff(f704,plain,
( $false
| ~ spl24_43
| spl24_44
| ~ spl24_47
| ~ spl24_48 ),
inference(forward_subsumption_resolution,[],[f702,f568]) ).
tff(f705,plain,
( ~ spl24_43
| spl24_44
| ~ spl24_47
| ~ spl24_48 ),
inference(avatar_contradiction_clause,[],[f704]) ).
tff(f706,plain,
( ~ f3($true)
| ~ spl24_12
| spl24_13 ),
inference(forward_demodulation,[],[f169,f163]) ).
tff(f708,plain,
( ~ f3($true)
| ~ spl24_37
| spl24_38 ),
inference(forward_demodulation,[],[f295,f289]) ).
tff(f716,plain,
( $false
| ~ spl24_12
| spl24_13
| ~ spl24_35
| ~ spl24_36 ),
inference(forward_subsumption_resolution,[],[f706,f618]) ).
tff(f717,plain,
( ~ spl24_12
| spl24_13
| ~ spl24_35
| ~ spl24_36 ),
inference(avatar_contradiction_clause,[],[f716]) ).
tff(f718,plain,
( ~ f4($true)
| ~ spl24_33
| spl24_34 ),
inference(forward_demodulation,[],[f275,f269]) ).
tff(f732,plain,
( ~ f1($true)
| ~ spl24_45
| spl24_46 ),
inference(superposition,[],[f335,f329]) ).
tff(f744,plain,
( ~ f4($false)
| ( $true = bG1 )
| spl24_7 ),
inference(superposition,[],[f139,f105]) ).
tff(f748,plain,
( spl24_6
| ~ spl24_54
| spl24_7 ),
inference(avatar_split_clause,[],[f744,f137,f631,f131]) ).
tff(f751,plain,
( f5($false)
| ( $true = bG13 )
| ~ spl24_30 ),
inference(superposition,[],[f254,f105]) ).
tff(f755,definition,
( spl24_55
<=> f5($false) ),
introduced(definition,[new_symbols(definition,[spl24_55])],[avatar_definition]) ).
tff(f762,plain,
( ~ f4($true)
| ~ spl24_6
| spl24_7 ),
inference(superposition,[],[f139,f133]) ).
tff(f764,plain,
( $false
| ~ spl24_10
| ~ spl24_11
| ~ spl24_33
| spl24_34 ),
inference(forward_subsumption_resolution,[],[f696,f718]) ).
tff(f765,plain,
( ~ spl24_10
| ~ spl24_11
| ~ spl24_33
| spl24_34 ),
inference(avatar_contradiction_clause,[],[f764]) ).
tff(f766,plain,
( f4($true)
| ~ spl24_6
| ~ spl24_7 ),
inference(forward_demodulation,[],[f138,f133]) ).
tff(f767,plain,
( $false
| ~ spl24_6
| ~ spl24_7
| ~ spl24_33
| spl24_34 ),
inference(forward_subsumption_resolution,[],[f766,f718]) ).
tff(f768,plain,
( ~ spl24_6
| ~ spl24_7
| ~ spl24_33
| spl24_34 ),
inference(avatar_contradiction_clause,[],[f767]) ).
tff(f787,plain,
( ~ f5($true)
| ~ spl24_4
| spl24_5 ),
inference(superposition,[],[f129,f123]) ).
tff(f791,plain,
( ~ f5($true)
| ~ spl24_27
| spl24_28 ),
inference(superposition,[],[f245,f239]) ).
tff(f794,plain,
( f5($true)
| ~ spl24_31
| ~ spl24_32 ),
inference(superposition,[],[f264,f259]) ).
tff(f796,plain,
( $false
| ~ spl24_4
| spl24_5
| ~ spl24_31
| ~ spl24_32 ),
inference(forward_subsumption_resolution,[],[f794,f787]) ).
tff(f797,plain,
( ~ spl24_4
| spl24_5
| ~ spl24_31
| ~ spl24_32 ),
inference(avatar_contradiction_clause,[],[f796]) ).
tff(f798,plain,
( spl24_29
| spl24_55
| ~ spl24_30 ),
inference(avatar_split_clause,[],[f751,f253,f755,f247]) ).
tff(f801,plain,
( f3($true)
| ~ spl24_37
| ~ spl24_38 ),
inference(forward_demodulation,[],[f294,f289]) ).
tff(f810,plain,
( ~ f4($false)
| ( $true = bG3 )
| spl24_11 ),
inference(superposition,[],[f159,f105]) ).
tff(f817,plain,
( f5($true)
| ~ spl24_4
| ~ spl24_5 ),
inference(superposition,[],[f128,f123]) ).
tff(f824,plain,
( ~ f4($true)
| ~ spl24_10
| spl24_11 ),
inference(superposition,[],[f159,f153]) ).
tff(f826,plain,
( $false
| ~ spl24_10
| spl24_11
| ~ spl24_33
| ~ spl24_34 ),
inference(forward_subsumption_resolution,[],[f824,f689]) ).
tff(f827,plain,
( ~ spl24_10
| spl24_11
| ~ spl24_33
| ~ spl24_34 ),
inference(avatar_contradiction_clause,[],[f826]) ).
tff(f828,plain,
( ~ spl24_54
| spl24_8
| spl24_9 ),
inference(avatar_split_clause,[],[f423,f147,f141,f631]) ).
tff(f829,plain,
( spl24_10
| ~ spl24_54
| spl24_11 ),
inference(avatar_split_clause,[],[f810,f157,f631,f151]) ).
tff(f834,plain,
( $false
| ~ spl24_6
| spl24_7
| ~ spl24_33
| ~ spl24_34 ),
inference(forward_subsumption_resolution,[],[f762,f689]) ).
tff(f835,plain,
( ~ spl24_6
| spl24_7
| ~ spl24_33
| ~ spl24_34 ),
inference(avatar_contradiction_clause,[],[f834]) ).
tff(f837,plain,
( spl24_18
| ~ spl24_19
| spl24_41
| spl24_42 ),
inference(avatar_split_clause,[],[f457,f313,f307,f197,f191]) ).
tff(f858,plain,
( f5($true)
| ~ spl24_29
| ~ spl24_30 ),
inference(superposition,[],[f254,f249]) ).
tff(f865,plain,
( ~ f3($true)
| ~ spl24_39
| spl24_40 ),
inference(superposition,[],[f305,f299]) ).
tff(f867,plain,
( $false
| ~ spl24_37
| ~ spl24_38
| ~ spl24_39
| spl24_40 ),
inference(forward_subsumption_resolution,[],[f865,f801]) ).
tff(f868,plain,
( ~ spl24_37
| ~ spl24_38
| ~ spl24_39
| spl24_40 ),
inference(avatar_contradiction_clause,[],[f867]) ).
tff(f870,plain,
( ~ spl24_53
| spl24_39
| spl24_40 ),
inference(avatar_split_clause,[],[f407,f303,f297,f574]) ).
tff(f871,plain,
( spl24_26
| spl24_52
| ~ spl24_1 ),
inference(avatar_split_clause,[],[f533,f107,f493,f231]) ).
tff(f882,plain,
( f0($true)
| ~ spl24_1
| ~ spl24_26 ),
inference(superposition,[],[f109,f233]) ).
tff(f884,plain,
( $false
| ~ spl24_1
| spl24_2
| ~ spl24_26
| ~ spl24_49 ),
inference(forward_subsumption_resolution,[],[f882,f531]) ).
tff(f885,plain,
( ~ spl24_1
| spl24_2
| ~ spl24_26
| ~ spl24_49 ),
inference(avatar_contradiction_clause,[],[f884]) ).
tff(f887,plain,
( f0($true)
| ~ spl24_2
| ~ spl24_49 ),
inference(forward_demodulation,[],[f113,f349]) ).
tff(f891,plain,
( f1($true)
| ~ spl24_45
| ~ spl24_46 ),
inference(forward_demodulation,[],[f334,f329]) ).
tff(f925,plain,
( ~ f1($true)
| ~ spl24_47
| spl24_48 ),
inference(superposition,[],[f345,f339]) ).
tff(f927,plain,
( $false
| ~ spl24_45
| ~ spl24_46
| ~ spl24_47
| spl24_48 ),
inference(forward_subsumption_resolution,[],[f925,f891]) ).
tff(f928,plain,
( ~ spl24_45
| ~ spl24_46
| ~ spl24_47
| spl24_48 ),
inference(avatar_contradiction_clause,[],[f927]) ).
tff(f930,plain,
( ~ f5($true)
| ~ spl24_31
| spl24_32 ),
inference(forward_demodulation,[],[f265,f259]) ).
tff(f936,plain,
( f4($false)
| ( $true = bG3 )
| ~ spl24_11 ),
inference(superposition,[],[f158,f105]) ).
tff(f959,plain,
( $false
| ~ spl24_4
| ~ spl24_5
| ~ spl24_31
| spl24_32 ),
inference(forward_subsumption_resolution,[],[f817,f930]) ).
tff(f960,plain,
( ~ spl24_4
| ~ spl24_5
| ~ spl24_31
| spl24_32 ),
inference(avatar_contradiction_clause,[],[f959]) ).
tff(f966,plain,
( $false
| ~ spl24_29
| ~ spl24_30
| ~ spl24_31
| spl24_32 ),
inference(forward_subsumption_resolution,[],[f858,f930]) ).
tff(f967,plain,
( ~ spl24_29
| ~ spl24_30
| ~ spl24_31
| spl24_32 ),
inference(avatar_contradiction_clause,[],[f966]) ).
tff(f968,plain,
( $false
| ~ spl24_12
| ~ spl24_13
| ~ spl24_37
| spl24_38 ),
inference(forward_subsumption_resolution,[],[f708,f612]) ).
tff(f969,plain,
( ~ spl24_12
| ~ spl24_13
| ~ spl24_37
| spl24_38 ),
inference(avatar_contradiction_clause,[],[f968]) ).
tff(f973,plain,
( ~ f0($false)
| ( $true = bG23 )
| spl24_2 ),
inference(superposition,[],[f112,f105]) ).
tff(f974,plain,
( ( $true = bG23 )
| spl24_2
| ~ spl24_52 ),
inference(forward_subsumption_resolution,[],[f973,f495]) ).
tff(f977,plain,
( $false
| spl24_2
| spl24_49
| ~ spl24_52 ),
inference(forward_subsumption_resolution,[],[f974,f348]) ).
tff(f978,plain,
( spl24_2
| spl24_49
| ~ spl24_52 ),
inference(avatar_contradiction_clause,[],[f977]) ).
tff(f987,plain,
( ~ f5($false)
| ( bG0 = $true )
| spl24_5 ),
inference(superposition,[],[f129,f105]) ).
tff(f988,plain,
( spl24_4
| ~ spl24_55
| spl24_5 ),
inference(avatar_split_clause,[],[f987,f127,f755,f121]) ).
tff(f997,plain,
( f1($false)
| ( $true = bG8 )
| ~ spl24_21 ),
inference(superposition,[],[f208,f105]) ).
tff(f998,plain,
( spl24_20
| spl24_51
| ~ spl24_21 ),
inference(avatar_split_clause,[],[f997,f207,f482,f201]) ).
tff(f1004,plain,
( f2($false)
| ( $true = bG19 )
| ~ spl24_42 ),
inference(superposition,[],[f314,f105]) ).
tff(f1018,plain,
( f1($true)
| ~ spl24_20
| ~ spl24_21 ),
inference(superposition,[],[f208,f203]) ).
tff(f1020,plain,
( $false
| ~ spl24_20
| ~ spl24_21
| ~ spl24_43
| spl24_44 ),
inference(forward_subsumption_resolution,[],[f1018,f702]) ).
tff(f1021,plain,
( ~ spl24_20
| ~ spl24_21
| ~ spl24_43
| spl24_44 ),
inference(avatar_contradiction_clause,[],[f1020]) ).
tff(f1030,plain,
( $false
| ~ spl24_43
| ~ spl24_44
| ~ spl24_45
| spl24_46 ),
inference(forward_subsumption_resolution,[],[f732,f561]) ).
tff(f1031,plain,
( ~ spl24_43
| ~ spl24_44
| ~ spl24_45
| spl24_46 ),
inference(avatar_contradiction_clause,[],[f1030]) ).
tff(f1033,plain,
( ~ f2($false)
| ( $true = bG7 )
| spl24_19 ),
inference(superposition,[],[f199,f105]) ).
tff(f1037,plain,
( f1($false)
| ( $true = bG21 )
| ~ spl24_46 ),
inference(superposition,[],[f334,f105]) ).
tff(f1038,plain,
( spl24_45
| spl24_51
| ~ spl24_46 ),
inference(avatar_split_clause,[],[f1037,f333,f482,f327]) ).
tff(f1039,plain,
( $false
| ~ spl24_16
| ~ spl24_17
| ~ spl24_18
| spl24_19 ),
inference(forward_subsumption_resolution,[],[f646,f627]) ).
tff(f1040,plain,
( ~ spl24_16
| ~ spl24_17
| ~ spl24_18
| spl24_19 ),
inference(avatar_contradiction_clause,[],[f1039]) ).
tff(f1043,plain,
( f5($true)
| ~ spl24_27
| ~ spl24_28 ),
inference(forward_demodulation,[],[f244,f239]) ).
tff(f1045,plain,
( spl24_10
| spl24_54
| ~ spl24_11 ),
inference(avatar_split_clause,[],[f936,f157,f631,f151]) ).
tff(f1046,plain,
( ~ f2($false)
| ( $true = bG5 )
| spl24_15 ),
inference(superposition,[],[f179,f105]) ).
tff(f1053,plain,
( ~ f4($false)
| ( $true = bG15 )
| spl24_34 ),
inference(superposition,[],[f275,f105]) ).
tff(f1054,plain,
( spl24_33
| ~ spl24_54
| spl24_34 ),
inference(avatar_split_clause,[],[f1053,f273,f631,f267]) ).
tff(f1065,plain,
( ~ f5($true)
| ~ spl24_29
| spl24_30 ),
inference(superposition,[],[f255,f249]) ).
tff(f1067,plain,
( $false
| ~ spl24_27
| ~ spl24_28
| ~ spl24_29
| spl24_30 ),
inference(forward_subsumption_resolution,[],[f1065,f1043]) ).
tff(f1068,plain,
( ~ spl24_27
| ~ spl24_28
| ~ spl24_29
| spl24_30 ),
inference(avatar_contradiction_clause,[],[f1067]) ).
tff(f1073,plain,
( spl24_18
| ~ spl24_50
| spl24_19 ),
inference(avatar_split_clause,[],[f1033,f197,f467,f191]) ).
tff(f1074,plain,
( spl24_14
| ~ spl24_50
| spl24_15 ),
inference(avatar_split_clause,[],[f1046,f177,f467,f171]) ).
tff(f1075,plain,
( spl24_41
| spl24_50
| ~ spl24_42 ),
inference(avatar_split_clause,[],[f1004,f313,f467,f307]) ).
tff(f1076,plain,
( ~ spl24_55
| spl24_29
| spl24_30 ),
inference(avatar_split_clause,[],[f412,f253,f247,f755]) ).
tff(f1077,plain,
( f5($false)
| ( bG0 = $true )
| ~ spl24_5 ),
inference(superposition,[],[f128,f105]) ).
tff(f1078,plain,
( spl24_4
| spl24_55
| ~ spl24_5 ),
inference(avatar_split_clause,[],[f1077,f127,f755,f121]) ).
tff(f1085,plain,
( f3($false)
| ( $true = bG16 )
| ~ spl24_36 ),
inference(superposition,[],[f284,f105]) ).
tff(f1086,plain,
( spl24_35
| spl24_53
| ~ spl24_36 ),
inference(avatar_split_clause,[],[f1085,f283,f574,f277]) ).
tff(f1087,plain,
( f3($false)
| ( $true = bG18 )
| ~ spl24_40 ),
inference(superposition,[],[f304,f105]) ).
tff(f1098,plain,
( $false
| ~ spl24_4
| ~ spl24_5
| ~ spl24_27
| spl24_28 ),
inference(forward_subsumption_resolution,[],[f817,f791]) ).
tff(f1099,plain,
( ~ spl24_4
| ~ spl24_5
| ~ spl24_27
| spl24_28 ),
inference(avatar_contradiction_clause,[],[f1098]) ).
tff(f1101,plain,
( ~ f4($true)
| ~ spl24_10
| spl24_11 ),
inference(forward_demodulation,[],[f159,f153]) ).
tff(f1102,plain,
( ~ spl24_52
| spl24_24
| spl24_25 ),
inference(avatar_split_clause,[],[f415,f227,f221,f493]) ).
tff(f1104,plain,
( spl24_39
| spl24_53
| ~ spl24_40 ),
inference(avatar_split_clause,[],[f1087,f303,f574,f297]) ).
tff(f1109,plain,
( f1($false)
| ( $true = bG22 )
| ~ spl24_48 ),
inference(superposition,[],[f344,f105]) ).
tff(f1110,plain,
( spl24_47
| spl24_51
| ~ spl24_48 ),
inference(avatar_split_clause,[],[f1109,f343,f482,f337]) ).
tff(f1111,plain,
( ! [X0: $o] :
( ~ f0((X0))
| ( $true = (X0) ) )
| spl24_52 ),
inference(superposition,[],[f494,f105]) ).
tff(f1118,plain,
( f4($false)
| ( $true = bG2 )
| ~ spl24_9 ),
inference(superposition,[],[f148,f105]) ).
tff(f1119,plain,
( spl24_8
| spl24_54
| ~ spl24_9 ),
inference(avatar_split_clause,[],[f1118,f147,f631,f141]) ).
tff(f1120,plain,
( f3($false)
| ( $true = bG4 )
| ~ spl24_13 ),
inference(superposition,[],[f168,f105]) ).
tff(f1121,plain,
( spl24_12
| spl24_53
| ~ spl24_13 ),
inference(avatar_split_clause,[],[f1120,f167,f574,f161]) ).
tff(f1122,plain,
( f2($false)
| ( $true = bG5 )
| ~ spl24_15 ),
inference(superposition,[],[f178,f105]) ).
tff(f1123,plain,
( spl24_14
| spl24_50
| ~ spl24_15 ),
inference(avatar_split_clause,[],[f1122,f177,f467,f171]) ).
tff(f1124,plain,
( f2($false)
| ( $true = bG6 )
| ~ spl24_17 ),
inference(superposition,[],[f188,f105]) ).
tff(f1125,plain,
( spl24_16
| spl24_50
| ~ spl24_17 ),
inference(avatar_split_clause,[],[f1124,f187,f467,f181]) ).
tff(f1126,plain,
( f2($false)
| ( $true = bG7 )
| ~ spl24_19 ),
inference(superposition,[],[f198,f105]) ).
tff(f1127,plain,
( spl24_18
| spl24_50
| ~ spl24_19 ),
inference(avatar_split_clause,[],[f1126,f197,f467,f191]) ).
tff(f1128,plain,
( f5($false)
| ( $true = bG12 )
| ~ spl24_28 ),
inference(superposition,[],[f244,f105]) ).
tff(f1129,plain,
( spl24_27
| spl24_55
| ~ spl24_28 ),
inference(avatar_split_clause,[],[f1128,f243,f755,f237]) ).
tff(f1130,plain,
( f5($false)
| ( $true = bG14 )
| ~ spl24_32 ),
inference(superposition,[],[f264,f105]) ).
tff(f1131,plain,
( spl24_31
| spl24_55
| ~ spl24_32 ),
inference(avatar_split_clause,[],[f1130,f263,f755,f257]) ).
tff(f1132,plain,
( f3($false)
| ( $true = bG17 )
| ~ spl24_38 ),
inference(superposition,[],[f294,f105]) ).
tff(f1133,plain,
( spl24_37
| spl24_53
| ~ spl24_38 ),
inference(avatar_split_clause,[],[f1132,f293,f574,f287]) ).
tff(f1134,plain,
( f1($false)
| ( $true = bG20 )
| ~ spl24_44 ),
inference(superposition,[],[f324,f105]) ).
tff(f1135,plain,
( spl24_43
| spl24_51
| ~ spl24_44 ),
inference(avatar_split_clause,[],[f1134,f323,f482,f317]) ).
tff(f1137,plain,
( $false
| ~ spl24_2
| ~ spl24_22
| spl24_23
| ~ spl24_49 ),
inference(forward_subsumption_resolution,[],[f446,f887]) ).
tff(f1138,plain,
( ~ spl24_2
| ~ spl24_22
| spl24_23
| ~ spl24_49 ),
inference(avatar_contradiction_clause,[],[f1137]) ).
tff(f1145,plain,
( ( $true = bG10 )
| ~ spl24_25
| spl24_52 ),
inference(resolution,[],[f228,f1111]) ).
tff(f1148,plain,
( spl24_24
| ~ spl24_25
| spl24_52 ),
inference(avatar_split_clause,[],[f1145,f493,f227,f221]) ).
tff(f1149,plain,
( ~ f1($false)
| ( $true = bG22 )
| spl24_48 ),
inference(superposition,[],[f345,f105]) ).
tff(f1150,plain,
( spl24_47
| ~ spl24_51
| spl24_48 ),
inference(avatar_split_clause,[],[f1149,f343,f482,f337]) ).
tff(f1156,plain,
( f4($false)
| ( $true = bG1 )
| ~ spl24_7 ),
inference(superposition,[],[f138,f105]) ).
tff(f1157,plain,
( spl24_6
| spl24_54
| ~ spl24_7 ),
inference(avatar_split_clause,[],[f1156,f137,f631,f131]) ).
tff(f1161,plain,
( ~ f3($false)
| ( $true = bG4 )
| spl24_13 ),
inference(superposition,[],[f169,f105]) ).
tff(f1162,plain,
( spl24_12
| ~ spl24_53
| spl24_13 ),
inference(avatar_split_clause,[],[f1161,f167,f574,f161]) ).
tff(f1164,plain,
( ~ f2($false)
| ( $true = bG6 )
| spl24_17 ),
inference(superposition,[],[f189,f105]) ).
tff(f1165,plain,
( spl24_16
| ~ spl24_50
| spl24_17 ),
inference(avatar_split_clause,[],[f1164,f187,f467,f181]) ).
tff(f1166,plain,
( ~ f5($false)
| ( $true = bG12 )
| spl24_28 ),
inference(superposition,[],[f245,f105]) ).
tff(f1167,plain,
( spl24_27
| ~ spl24_55
| spl24_28 ),
inference(avatar_split_clause,[],[f1166,f243,f755,f237]) ).
tff(f1168,plain,
( ~ f5($false)
| ( $true = bG14 )
| spl24_32 ),
inference(superposition,[],[f265,f105]) ).
tff(f1169,plain,
( spl24_31
| ~ spl24_55
| spl24_32 ),
inference(avatar_split_clause,[],[f1168,f263,f755,f257]) ).
tff(f1170,plain,
( f4($false)
| ( $true = bG15 )
| ~ spl24_34 ),
inference(superposition,[],[f274,f105]) ).
tff(f1171,plain,
( spl24_33
| spl24_54
| ~ spl24_34 ),
inference(avatar_split_clause,[],[f1170,f273,f631,f267]) ).
tff(f1172,plain,
( ~ f2($false)
| ( $true = bG19 )
| spl24_42 ),
inference(superposition,[],[f315,f105]) ).
tff(f1173,plain,
( spl24_41
| ~ spl24_50
| spl24_42 ),
inference(avatar_split_clause,[],[f1172,f313,f467,f307]) ).
tff(f1174,plain,
( ~ f1($false)
| ( $true = bG20 )
| spl24_44 ),
inference(superposition,[],[f325,f105]) ).
tff(f1175,plain,
( spl24_43
| ~ spl24_51
| spl24_44 ),
inference(avatar_split_clause,[],[f1174,f323,f482,f317]) ).
tff(f1176,plain,
( ~ f1($false)
| ( $true = bG21 )
| spl24_46 ),
inference(superposition,[],[f335,f105]) ).
tff(f1177,plain,
( spl24_45
| ~ spl24_51
| spl24_46 ),
inference(avatar_split_clause,[],[f1176,f333,f482,f327]) ).
tff(f1178,plain,
( $false
| ~ spl24_8
| ~ spl24_9
| ~ spl24_10
| spl24_11 ),
inference(forward_subsumption_resolution,[],[f1101,f693]) ).
tff(f1179,plain,
( ~ spl24_8
| ~ spl24_9
| ~ spl24_10
| spl24_11 ),
inference(avatar_contradiction_clause,[],[f1178]) ).
cnf(s1,plain,
( spl24_1
| spl24_2 ),
inference(sat_conversion,[],[f114]) ).
cnf(s2,plain,
( ~ spl24_1
| ~ spl24_2 ),
inference(sat_conversion,[],[f115]) ).
cnf(s3,plain,
( ~ spl24_3
| spl24_4 ),
inference(sat_conversion,[],[f124]) ).
cnf(s4,plain,
( spl24_3
| ~ spl24_4 ),
inference(sat_conversion,[],[f125]) ).
cnf(s5,plain,
( ~ spl24_5
| spl24_6 ),
inference(sat_conversion,[],[f134]) ).
cnf(s6,plain,
( spl24_5
| ~ spl24_6 ),
inference(sat_conversion,[],[f135]) ).
cnf(s7,plain,
( ~ spl24_7
| spl24_8 ),
inference(sat_conversion,[],[f144]) ).
cnf(s8,plain,
( spl24_7
| ~ spl24_8 ),
inference(sat_conversion,[],[f145]) ).
cnf(s9,plain,
( ~ spl24_9
| spl24_10 ),
inference(sat_conversion,[],[f154]) ).
cnf(s10,plain,
( spl24_9
| ~ spl24_10 ),
inference(sat_conversion,[],[f155]) ).
cnf(s11,plain,
( ~ spl24_11
| spl24_12 ),
inference(sat_conversion,[],[f164]) ).
cnf(s12,plain,
( spl24_11
| ~ spl24_12 ),
inference(sat_conversion,[],[f165]) ).
cnf(s13,plain,
( ~ spl24_13
| spl24_14 ),
inference(sat_conversion,[],[f174]) ).
cnf(s14,plain,
( spl24_13
| ~ spl24_14 ),
inference(sat_conversion,[],[f175]) ).
cnf(s15,plain,
( ~ spl24_15
| spl24_16 ),
inference(sat_conversion,[],[f184]) ).
cnf(s16,plain,
( spl24_15
| ~ spl24_16 ),
inference(sat_conversion,[],[f185]) ).
cnf(s17,plain,
( ~ spl24_17
| spl24_18 ),
inference(sat_conversion,[],[f194]) ).
cnf(s18,plain,
( spl24_17
| ~ spl24_18 ),
inference(sat_conversion,[],[f195]) ).
cnf(s19,plain,
( ~ spl24_19
| spl24_20 ),
inference(sat_conversion,[],[f204]) ).
cnf(s20,plain,
( spl24_19
| ~ spl24_20 ),
inference(sat_conversion,[],[f205]) ).
cnf(s21,plain,
( ~ spl24_21
| spl24_22 ),
inference(sat_conversion,[],[f214]) ).
cnf(s22,plain,
( spl24_21
| ~ spl24_22 ),
inference(sat_conversion,[],[f215]) ).
cnf(s23,plain,
( ~ spl24_23
| spl24_24 ),
inference(sat_conversion,[],[f224]) ).
cnf(s24,plain,
( spl24_23
| ~ spl24_24 ),
inference(sat_conversion,[],[f225]) ).
cnf(s25,plain,
( ~ spl24_25
| spl24_26 ),
inference(sat_conversion,[],[f234]) ).
cnf(s26,plain,
( spl24_25
| ~ spl24_26 ),
inference(sat_conversion,[],[f235]) ).
cnf(s27,plain,
( ~ spl24_3
| spl24_27 ),
inference(sat_conversion,[],[f240]) ).
cnf(s28,plain,
( spl24_3
| ~ spl24_27 ),
inference(sat_conversion,[],[f241]) ).
cnf(s29,plain,
( ~ spl24_28
| spl24_29 ),
inference(sat_conversion,[],[f250]) ).
cnf(s30,plain,
( spl24_28
| ~ spl24_29 ),
inference(sat_conversion,[],[f251]) ).
cnf(s31,plain,
( ~ spl24_30
| spl24_31 ),
inference(sat_conversion,[],[f260]) ).
cnf(s32,plain,
( spl24_30
| ~ spl24_31 ),
inference(sat_conversion,[],[f261]) ).
cnf(s33,plain,
( ~ spl24_32
| spl24_33 ),
inference(sat_conversion,[],[f270]) ).
cnf(s34,plain,
( spl24_32
| ~ spl24_33 ),
inference(sat_conversion,[],[f271]) ).
cnf(s35,plain,
( ~ spl24_34
| spl24_35 ),
inference(sat_conversion,[],[f280]) ).
cnf(s36,plain,
( spl24_34
| ~ spl24_35 ),
inference(sat_conversion,[],[f281]) ).
cnf(s37,plain,
( ~ spl24_36
| spl24_37 ),
inference(sat_conversion,[],[f290]) ).
cnf(s38,plain,
( spl24_36
| ~ spl24_37 ),
inference(sat_conversion,[],[f291]) ).
cnf(s39,plain,
( ~ spl24_38
| spl24_39 ),
inference(sat_conversion,[],[f300]) ).
cnf(s40,plain,
( spl24_38
| ~ spl24_39 ),
inference(sat_conversion,[],[f301]) ).
cnf(s41,plain,
( ~ spl24_40
| spl24_41 ),
inference(sat_conversion,[],[f310]) ).
cnf(s42,plain,
( spl24_40
| ~ spl24_41 ),
inference(sat_conversion,[],[f311]) ).
cnf(s43,plain,
( ~ spl24_42
| spl24_43 ),
inference(sat_conversion,[],[f320]) ).
cnf(s44,plain,
( spl24_42
| ~ spl24_43 ),
inference(sat_conversion,[],[f321]) ).
cnf(s45,plain,
( ~ spl24_44
| spl24_45 ),
inference(sat_conversion,[],[f330]) ).
cnf(s46,plain,
( spl24_44
| ~ spl24_45 ),
inference(sat_conversion,[],[f331]) ).
cnf(s47,plain,
( ~ spl24_46
| spl24_47 ),
inference(sat_conversion,[],[f340]) ).
cnf(s48,plain,
( spl24_46
| ~ spl24_47 ),
inference(sat_conversion,[],[f341]) ).
cnf(s49,plain,
( ~ spl24_48
| spl24_49 ),
inference(sat_conversion,[],[f350]) ).
cnf(s50,plain,
( spl24_48
| ~ spl24_49 ),
inference(sat_conversion,[],[f351]) ).
cnf(s52,plain,
( spl24_1
| ~ spl24_2
| spl24_26
| spl24_49 ),
inference(sat_conversion,[],[f430]) ).
cnf(s55,plain,
( ~ spl24_2
| spl24_22
| spl24_23
| spl24_49 ),
inference(sat_conversion,[],[f437]) ).
cnf(s58,plain,
( spl24_20
| ~ spl24_21
| spl24_47
| spl24_48 ),
inference(sat_conversion,[],[f455]) ).
cnf(s60,plain,
( spl24_1
| ~ spl24_24
| ~ spl24_25
| ~ spl24_26 ),
inference(sat_conversion,[],[f465]) ).
cnf(s85,plain,
( spl24_22
| ~ spl24_23
| spl24_52 ),
inference(sat_conversion,[],[f511]) ).
cnf(s89,plain,
( ~ spl24_2
| ~ spl24_24
| spl24_25
| ~ spl24_49 ),
inference(sat_conversion,[],[f530]) ).
cnf(s93,plain,
( spl24_2
| ~ spl24_22
| ~ spl24_23
| ~ spl24_49 ),
inference(sat_conversion,[],[f550]) ).
cnf(s98,plain,
( spl24_37
| spl24_38
| spl24_39
| ~ spl24_40 ),
inference(sat_conversion,[],[f572]) ).
cnf(s103,plain,
( spl24_35
| spl24_36
| ~ spl24_53 ),
inference(sat_conversion,[],[f583]) ).
cnf(s105,plain,
( ~ spl24_14
| spl24_15
| ~ spl24_41
| ~ spl24_42 ),
inference(sat_conversion,[],[f593]) ).
cnf(s107,plain,
( ~ spl24_12
| spl24_13
| ~ spl24_39
| ~ spl24_40 ),
inference(sat_conversion,[],[f611]) ).
cnf(s109,plain,
( ~ spl24_12
| ~ spl24_13
| ~ spl24_35
| spl24_36 ),
inference(sat_conversion,[],[f617]) ).
cnf(s110,plain,
( ~ spl24_16
| spl24_17
| ~ spl24_41
| ~ spl24_42 ),
inference(sat_conversion,[],[f626]) ).
cnf(s111,plain,
( spl24_8
| spl24_9
| spl24_33
| ~ spl24_34 ),
inference(sat_conversion,[],[f629]) ).
cnf(s116,plain,
( ~ spl24_18
| spl24_19
| ~ spl24_41
| ~ spl24_42 ),
inference(sat_conversion,[],[f649]) ).
cnf(s117,plain,
( spl24_20
| spl24_21
| ~ spl24_51 ),
inference(sat_conversion,[],[f652]) ).
cnf(s121,plain,
( ~ spl24_18
| ~ spl24_19
| ~ spl24_41
| spl24_42 ),
inference(sat_conversion,[],[f661]) ).
cnf(s122,plain,
( ~ spl24_20
| spl24_21
| ~ spl24_43
| ~ spl24_44 ),
inference(sat_conversion,[],[f671]) ).
cnf(s125,plain,
( ~ spl24_14
| ~ spl24_15
| ~ spl24_41
| spl24_42 ),
inference(sat_conversion,[],[f677]) ).
cnf(s130,plain,
( ~ spl24_8
| spl24_9
| ~ spl24_33
| ~ spl24_34 ),
inference(sat_conversion,[],[f692]) ).
cnf(s132,plain,
( ~ spl24_43
| spl24_44
| ~ spl24_47
| ~ spl24_48 ),
inference(sat_conversion,[],[f705]) ).
cnf(s137,plain,
( ~ spl24_12
| spl24_13
| ~ spl24_35
| ~ spl24_36 ),
inference(sat_conversion,[],[f717]) ).
cnf(s146,plain,
( spl24_6
| spl24_7
| ~ spl24_54 ),
inference(sat_conversion,[],[f748]) ).
cnf(s149,plain,
( ~ spl24_10
| ~ spl24_11
| ~ spl24_33
| spl24_34 ),
inference(sat_conversion,[],[f765]) ).
cnf(s151,plain,
( ~ spl24_6
| ~ spl24_7
| ~ spl24_33
| spl24_34 ),
inference(sat_conversion,[],[f768]) ).
cnf(s161,plain,
( ~ spl24_4
| spl24_5
| ~ spl24_31
| ~ spl24_32 ),
inference(sat_conversion,[],[f797]) ).
cnf(s164,plain,
( spl24_29
| ~ spl24_30
| spl24_55 ),
inference(sat_conversion,[],[f798]) ).
cnf(s173,plain,
( ~ spl24_10
| spl24_11
| ~ spl24_33
| ~ spl24_34 ),
inference(sat_conversion,[],[f827]) ).
cnf(s174,plain,
( spl24_8
| spl24_9
| ~ spl24_54 ),
inference(sat_conversion,[],[f828]) ).
cnf(s176,plain,
( spl24_10
| spl24_11
| ~ spl24_54 ),
inference(sat_conversion,[],[f829]) ).
cnf(s179,plain,
( ~ spl24_6
| spl24_7
| ~ spl24_33
| ~ spl24_34 ),
inference(sat_conversion,[],[f835]) ).
cnf(s182,plain,
( spl24_18
| ~ spl24_19
| spl24_41
| spl24_42 ),
inference(sat_conversion,[],[f837]) ).
cnf(s188,plain,
( ~ spl24_37
| ~ spl24_38
| ~ spl24_39
| spl24_40 ),
inference(sat_conversion,[],[f868]) ).
cnf(s196,plain,
( spl24_39
| spl24_40
| ~ spl24_53 ),
inference(sat_conversion,[],[f870]) ).
cnf(s197,plain,
( ~ spl24_1
| spl24_26
| spl24_52 ),
inference(sat_conversion,[],[f871]) ).
cnf(s201,plain,
( ~ spl24_1
| spl24_2
| ~ spl24_26
| ~ spl24_49 ),
inference(sat_conversion,[],[f885]) ).
cnf(s214,plain,
( ~ spl24_45
| ~ spl24_46
| ~ spl24_47
| spl24_48 ),
inference(sat_conversion,[],[f928]) ).
cnf(s230,plain,
( ~ spl24_4
| ~ spl24_5
| ~ spl24_31
| spl24_32 ),
inference(sat_conversion,[],[f960]) ).
cnf(s232,plain,
( ~ spl24_29
| ~ spl24_30
| ~ spl24_31
| spl24_32 ),
inference(sat_conversion,[],[f967]) ).
cnf(s236,plain,
( ~ spl24_12
| ~ spl24_13
| ~ spl24_37
| spl24_38 ),
inference(sat_conversion,[],[f969]) ).
cnf(s240,plain,
( spl24_2
| spl24_49
| ~ spl24_52 ),
inference(sat_conversion,[],[f978]) ).
cnf(s250,plain,
( spl24_4
| spl24_5
| ~ spl24_55 ),
inference(sat_conversion,[],[f988]) ).
cnf(s255,plain,
( spl24_20
| ~ spl24_21
| spl24_51 ),
inference(sat_conversion,[],[f998]) ).
cnf(s259,plain,
( ~ spl24_20
| ~ spl24_21
| ~ spl24_43
| spl24_44 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s261,plain,
( ~ spl24_43
| ~ spl24_44
| ~ spl24_45
| spl24_46 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s266,plain,
( spl24_45
| ~ spl24_46
| spl24_51 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s267,plain,
( ~ spl24_16
| ~ spl24_17
| ~ spl24_18
| spl24_19 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s270,plain,
( spl24_10
| ~ spl24_11
| spl24_54 ),
inference(sat_conversion,[],[f1045]) ).
cnf(s274,plain,
( spl24_33
| spl24_34
| ~ spl24_54 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s275,plain,
( ~ spl24_27
| ~ spl24_28
| ~ spl24_29
| spl24_30 ),
inference(sat_conversion,[],[f1068]) ).
cnf(s285,plain,
( spl24_18
| spl24_19
| ~ spl24_50 ),
inference(sat_conversion,[],[f1073]) ).
cnf(s286,plain,
( spl24_14
| spl24_15
| ~ spl24_50 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s287,plain,
( spl24_41
| ~ spl24_42
| spl24_50 ),
inference(sat_conversion,[],[f1075]) ).
cnf(s288,plain,
( spl24_29
| spl24_30
| ~ spl24_55 ),
inference(sat_conversion,[],[f1076]) ).
cnf(s289,plain,
( spl24_4
| ~ spl24_5
| spl24_55 ),
inference(sat_conversion,[],[f1078]) ).
cnf(s293,plain,
( spl24_35
| ~ spl24_36
| spl24_53 ),
inference(sat_conversion,[],[f1086]) ).
cnf(s295,plain,
( ~ spl24_4
| ~ spl24_5
| ~ spl24_27
| spl24_28 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s298,plain,
( spl24_24
| spl24_25
| ~ spl24_52 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s302,plain,
( spl24_39
| ~ spl24_40
| spl24_53 ),
inference(sat_conversion,[],[f1104]) ).
cnf(s305,plain,
( spl24_47
| ~ spl24_48
| spl24_51 ),
inference(sat_conversion,[],[f1110]) ).
cnf(s307,plain,
( spl24_8
| ~ spl24_9
| spl24_54 ),
inference(sat_conversion,[],[f1119]) ).
cnf(s308,plain,
( spl24_12
| ~ spl24_13
| spl24_53 ),
inference(sat_conversion,[],[f1121]) ).
cnf(s309,plain,
( spl24_14
| ~ spl24_15
| spl24_50 ),
inference(sat_conversion,[],[f1123]) ).
cnf(s310,plain,
( spl24_16
| ~ spl24_17
| spl24_50 ),
inference(sat_conversion,[],[f1125]) ).
cnf(s311,plain,
( spl24_18
| ~ spl24_19
| spl24_50 ),
inference(sat_conversion,[],[f1127]) ).
cnf(s312,plain,
( spl24_27
| ~ spl24_28
| spl24_55 ),
inference(sat_conversion,[],[f1129]) ).
cnf(s313,plain,
( spl24_31
| ~ spl24_32
| spl24_55 ),
inference(sat_conversion,[],[f1131]) ).
cnf(s314,plain,
( spl24_37
| ~ spl24_38
| spl24_53 ),
inference(sat_conversion,[],[f1133]) ).
cnf(s315,plain,
( spl24_43
| ~ spl24_44
| spl24_51 ),
inference(sat_conversion,[],[f1135]) ).
cnf(s316,plain,
( ~ spl24_2
| ~ spl24_22
| spl24_23
| ~ spl24_49 ),
inference(sat_conversion,[],[f1138]) ).
cnf(s334,plain,
( spl24_24
| ~ spl24_25
| spl24_52 ),
inference(sat_conversion,[],[f1148]) ).
cnf(s336,plain,
( spl24_47
| spl24_48
| ~ spl24_51 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s338,plain,
( spl24_6
| ~ spl24_7
| spl24_54 ),
inference(sat_conversion,[],[f1157]) ).
cnf(s339,plain,
( spl24_12
| spl24_13
| ~ spl24_53 ),
inference(sat_conversion,[],[f1162]) ).
cnf(s340,plain,
( spl24_16
| spl24_17
| ~ spl24_50 ),
inference(sat_conversion,[],[f1165]) ).
cnf(s341,plain,
( spl24_27
| spl24_28
| ~ spl24_55 ),
inference(sat_conversion,[],[f1167]) ).
cnf(s342,plain,
( spl24_31
| spl24_32
| ~ spl24_55 ),
inference(sat_conversion,[],[f1169]) ).
cnf(s343,plain,
( spl24_33
| ~ spl24_34
| spl24_54 ),
inference(sat_conversion,[],[f1171]) ).
cnf(s344,plain,
( spl24_41
| spl24_42
| ~ spl24_50 ),
inference(sat_conversion,[],[f1173]) ).
cnf(s345,plain,
( spl24_43
| spl24_44
| ~ spl24_51 ),
inference(sat_conversion,[],[f1175]) ).
cnf(s346,plain,
( spl24_45
| spl24_46
| ~ spl24_51 ),
inference(sat_conversion,[],[f1177]) ).
cnf(s347,plain,
( ~ spl24_8
| ~ spl24_9
| ~ spl24_10
| spl24_11 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s348,plain,
( spl24_21
| spl24_20
| spl24_43
| spl24_1 ),
inference(rat,[],[s60,s23,s26,s55,s52,s50,s305,s48,s266,s46,s315,s22,s117,s1]) ).
cnf(s349,plain,
( ~ spl24_25
| ~ spl24_24
| spl24_1 ),
inference(rat,[],[s60,s25]) ).
cnf(s350,plain,
( ~ spl24_24
| spl24_1 ),
inference(rat,[],[s52,s89,s26,s349,s1]) ).
cnf(s351,plain,
( spl24_15
| spl24_41
| spl24_14
| spl24_1 ),
inference(rat,[],[s214,s48,s336,s49,s316,s45,s345,s21,s255,s348,s20,s311,s18,s44,s310,s287,s16,s286,s1,s23,s350]) ).
cnf(s352,plain,
( ~ spl24_44
| spl24_48
| ~ spl24_43 ),
inference(rat,[],[s214,s47,s261,s45]) ).
cnf(s353,plain,
( spl24_19
| ~ spl24_50
| ~ spl24_16 ),
inference(rat,[],[s267,s18,s285]) ).
cnf(s354,plain,
( ~ spl24_21
| ~ spl24_20
| ~ spl24_43
| spl24_1 ),
inference(rat,[],[s49,s352,s316,s259,s21,s1,s23,s350]) ).
cnf(s355,plain,
( spl24_13
| spl24_12
| spl24_35
| spl24_1 ),
inference(rat,[],[s346,s47,s305,s132,s50,s55,s46,s22,s122,s354,s19,s353,s43,s344,s309,s15,s351,s42,s302,s40,s314,s38,s293,s14,s339,s1,s23,s350]) ).
cnf(s356,plain,
( spl24_40
| ~ spl24_37
| ~ spl24_53 ),
inference(rat,[],[s188,s40,s196]) ).
cnf(s357,plain,
( ~ spl24_42
| spl24_19
| ~ spl24_41
| ~ spl24_14 ),
inference(rat,[],[s110,s17,s15,s116,s105]) ).
cnf(s358,plain,
( ~ spl24_45
| spl24_48
| ~ spl24_47 ),
inference(rat,[],[s48,s214]) ).
cnf(s359,plain,
( spl24_19
| ~ spl24_41
| ~ spl24_14
| spl24_1 ),
inference(rat,[],[s358,s58,s45,s49,s345,s316,s255,s21,s348,s44,s357,s20,s1,s23,s350]) ).
cnf(s360,plain,
( spl24_42
| ~ spl24_19
| ~ spl24_41
| ~ spl24_14 ),
inference(rat,[],[s340,s17,s311,s16,s121,s125]) ).
cnf(s361,plain,
( spl24_7
| spl24_33
| spl24_6
| spl24_1 ),
inference(rat,[],[s346,s47,s305,s132,s50,s55,s46,s22,s122,s354,s43,s360,s19,s359,s41,s356,s37,s103,s13,s308,s355,s12,s270,s36,s10,s111,s307,s146,s8,s1,s23,s350]) ).
cnf(s363,plain,
( ~ spl24_12
| ~ spl24_13
| spl24_40
| ~ spl24_35 ),
inference(rat,[],[s188,s39,s236,s37,s109]) ).
cnf(s364,plain,
( spl24_11
| ~ spl24_8
| ~ spl24_54 ),
inference(rat,[],[s347,s10,s176]) ).
cnf(s365,plain,
( spl24_41
| ~ spl24_12
| ~ spl24_35
| spl24_1 ),
inference(rat,[],[s346,s47,s305,s132,s50,s55,s46,s22,s122,s354,s19,s43,s353,s344,s309,s15,s351,s14,s363,s41,s1,s23,s350]) ).
cnf(s366,plain,
( spl24_13
| ~ spl24_40
| ~ spl24_12
| ~ spl24_35 ),
inference(rat,[],[s98,s39,s38,s107,s137]) ).
cnf(s367,plain,
( spl24_5
| spl24_3
| spl24_1 ),
inference(rat,[],[s346,s47,s305,s132,s50,s55,s46,s22,s122,s354,s43,s360,s19,s359,s13,s366,s42,s365,s11,s364,s35,s274,s7,s338,s361,s34,s313,s32,s164,s30,s312,s6,s250,s1,s23,s350,s28,s4]) ).
cnf(s368,plain,
( spl24_32
| ~ spl24_29
| ~ spl24_55 ),
inference(rat,[],[s232,s32,s342]) ).
cnf(s369,plain,
( spl24_12
| ~ spl24_13
| spl24_40
| ~ spl24_33
| ~ spl24_6 ),
inference(rat,[],[s130,s9,s7,s173,s179,s36,s103,s37,s356,s308,s11]) ).
cnf(s370,plain,
( ~ spl24_12
| spl24_41
| spl24_3
| spl24_1 ),
inference(rat,[],[s174,s8,s270,s9,s151,s149,s35,s365,s12,s5,s33,s368,s29,s341,s28,s289,s367,s4]) ).
cnf(s371,plain,
( spl24_41
| spl24_3
| spl24_1 ),
inference(rat,[],[s130,s9,s7,s173,s179,s36,s355,s369,s11,s370,s41,s5,s33,s368,s29,s341,s28,s289,s367,s4]) ).
cnf(s372,plain,
( spl24_12
| spl24_13
| spl24_3
| spl24_1 ),
inference(rat,[],[s130,s9,s7,s173,s179,s36,s355,s11,s5,s33,s368,s29,s341,s28,s289,s367,s4]) ).
cnf(s373,plain,
( spl24_13
| spl24_3
| spl24_1 ),
inference(rat,[],[s174,s8,s270,s9,s151,s149,s35,s366,s12,s372,s5,s33,s368,s29,s341,s28,s289,s367,s4,s42,s371]) ).
cnf(s374,plain,
( spl24_3
| spl24_1 ),
inference(rat,[],[s346,s47,s305,s132,s50,s55,s46,s22,s122,s354,s43,s360,s19,s359,s13,s373,s371,s1,s23,s350]) ).
cnf(s375,plain,
( spl24_41
| spl24_14
| spl24_1 ),
inference(rat,[],[s346,s47,s305,s132,s50,s55,s46,s22,s122,s354,s19,s43,s353,s344,s309,s15,s351,s1,s23,s350]) ).
cnf(s376,plain,
( spl24_33
| ~ spl24_34
| spl24_11
| ~ spl24_3 ),
inference(rat,[],[s275,s31,s29,s230,s295,s6,s146,s7,s364,s343,s33,s27,s3]) ).
cnf(s377,plain,
( spl24_12
| spl24_13
| spl24_1 ),
inference(rat,[],[s275,s30,s288,s31,s313,s161,s5,s179,s7,s130,s9,s173,s34,s376,s36,s355,s11,s27,s3,s374]) ).
cnf(s378,plain,
( spl24_33
| spl24_34
| ~ spl24_11
| ~ spl24_3 ),
inference(rat,[],[s275,s31,s29,s230,s295,s6,s338,s8,s307,s10,s270,s274,s33,s27,s3]) ).
cnf(s379,plain,
( spl24_13
| spl24_1 ),
inference(rat,[],[s275,s30,s288,s31,s313,s161,s5,s151,s8,s174,s270,s9,s149,s34,s378,s35,s366,s12,s377,s42,s375,s14,s27,s3,s374]) ).
cnf(s380,plain,
( ~ spl24_41
| spl24_1 ),
inference(rat,[],[s346,s47,s305,s132,s50,s55,s46,s22,s122,s354,s43,s360,s19,s359,s1,s23,s350,s13,s379]) ).
cnf(s381,plain,
( spl24_12
| spl24_1 ),
inference(rat,[],[s275,s30,s288,s31,s313,s161,s5,s369,s34,s376,s36,s103,s37,s356,s308,s11,s27,s3,s374,s379,s41,s380]) ).
cnf(s382,plain,
spl24_1,
inference(rat,[],[s275,s30,s288,s31,s313,s161,s5,s151,s8,s174,s270,s9,s149,s34,s378,s35,s365,s12,s381,s380,s3,s27,s374]) ).
cnf(s383,plain,
~ spl24_2,
inference(rat,[],[s2,s382]) ).
cnf(s384,plain,
( spl24_48
| ~ spl24_21
| ~ spl24_45
| spl24_20 ),
inference(rat,[],[s358,s58]) ).
cnf(s385,plain,
( ~ spl24_44
| spl24_43
| spl24_20 ),
inference(rat,[],[s298,s24,s197,s25,s93,s201,s49,s384,s21,s117,s315,s45,s382,s383]) ).
cnf(s386,plain,
( spl24_52
| spl24_22 ),
inference(rat,[],[s334,s26,s24,s197,s85,s382]) ).
cnf(s387,plain,
( spl24_43
| spl24_20 ),
inference(rat,[],[s386,s240,s50,s305,s48,s22,s266,s255,s46,s345,s385,s383]) ).
cnf(s388,plain,
( spl24_19
| spl24_41
| spl24_14 ),
inference(rat,[],[s15,s286,s353,s287,s44,s387,s20]) ).
cnf(s389,plain,
( spl24_42
| spl24_41
| spl24_14 ),
inference(rat,[],[s310,s16,s18,s309,s182,s344,s388]) ).
cnf(s390,plain,
( ~ spl24_44
| ~ spl24_43
| ~ spl24_20 ),
inference(rat,[],[s298,s24,s197,s25,s93,s201,s21,s49,s122,s352,s382,s383]) ).
cnf(s391,plain,
( ~ spl24_43
| ~ spl24_20 ),
inference(rat,[],[s346,s47,s305,s132,s50,s240,s386,s22,s259,s46,s390,s383]) ).
cnf(s392,plain,
( spl24_41
| spl24_14 ),
inference(rat,[],[s391,s43,s389,s19,s388]) ).
cnf(s394,plain,
( spl24_33
| ~ spl24_34
| spl24_11 ),
inference(rat,[],[s29,s368,s341,s289,s6,s146,s7,s4,s28,s364,s376,s343,s33]) ).
cnf(s395,plain,
( spl24_3
| spl24_5
| ~ spl24_32 ),
inference(rat,[],[s164,s32,s30,s313,s312,s250,s4,s28]) ).
cnf(s396,plain,
( spl24_5
| ~ spl24_32 ),
inference(rat,[],[s275,s30,s288,s31,s313,s161,s3,s27,s395]) ).
cnf(s397,plain,
( ~ spl24_34
| spl24_11 ),
inference(rat,[],[s396,s5,s179,s7,s130,s9,s173,s34,s394]) ).
cnf(s398,plain,
( spl24_12
| spl24_13 ),
inference(rat,[],[s397,s36,s293,s38,s314,s40,s302,s339,s11,s42,s392,s14]) ).
cnf(s399,plain,
( spl24_33
| spl24_13 ),
inference(rat,[],[s29,s368,s341,s289,s6,s338,s8,s307,s10,s4,s28,s270,s378,s274,s33,s12,s35,s366,s398,s42,s392,s14]) ).
cnf(s400,plain,
spl24_13,
inference(rat,[],[s8,s151,s174,s5,s270,s9,s396,s149,s34,s399,s35,s366,s12,s398,s42,s392,s14]) ).
cnf(s401,plain,
spl24_14,
inference(rat,[],[s13,s400]) ).
cnf(s402,plain,
( ~ spl24_53
| spl24_40
| spl24_35 ),
inference(rat,[],[s37,s103,s356]) ).
cnf(s403,plain,
( ~ spl24_11
| spl24_33
| spl24_34 ),
inference(rat,[],[s29,s368,s341,s289,s6,s338,s8,s307,s10,s4,s28,s270,s378,s33,s274]) ).
cnf(s404,plain,
( spl24_43
| ~ spl24_41 ),
inference(rat,[],[s20,s360,s387,s43,s401]) ).
cnf(s405,plain,
~ spl24_41,
inference(rat,[],[s19,s357,s391,s44,s404,s401]) ).
cnf(s406,plain,
~ spl24_40,
inference(rat,[],[s41,s405]) ).
cnf(s407,plain,
( ~ spl24_11
| spl24_34 ),
inference(rat,[],[s8,s151,s174,s5,s270,s9,s396,s149,s34,s403]) ).
cnf(s408,plain,
spl24_34,
inference(rat,[],[s407,s12,s308,s402,s36,s400,s406]) ).
cnf(s409,plain,
spl24_35,
inference(rat,[],[s35,s408]) ).
cnf(s410,plain,
spl24_11,
inference(rat,[],[s397,s408]) ).
cnf(s411,plain,
~ spl24_12,
inference(rat,[],[s363,s400,s406,s409]) ).
cnf(s412,plain,
$false,
inference(rat,[],[s11,s411,s410]) ).
tff(f1180,plain,
$false,
inference(avatar_sat_refutation,[],[s412]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO500_8.006 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n008.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 17:47:25 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.99/1.10 % (2466621)Detected formulas, will run a generic FOF schedule.
% 2.99/1.10 % (2466634)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=712454132:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.99/1.10 % (2466634)Instruction limit reached!
% 2.99/1.10 % (2466634)------------------------------
% 2.99/1.10 % (2466634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.10 % (2466634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.10 % (2466634)CaDiCaL version: 2.1.3
% 2.99/1.10 % (2466634)Termination reason: Instruction limit
% 2.99/1.10 % (2466634)Termination phase: Saturation
% 2.99/1.10 % (2466634)Time elapsed: 0.031 s
% 2.99/1.10 % (2466634)Peak memory usage: 88 MB
% 2.99/1.10 % (2466634)Instructions burned: 123 (million)
% 2.99/1.10 % (2466636)dis-21_1_sil=8000:lcm=predicate:random_seed=465692221:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.99/1.10 % (2466636)Refutation not found, incomplete strategy
% 2.99/1.10 % (2466636)------------------------------
% 2.99/1.10 % (2466636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.10 % (2466636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.10 % (2466636)CaDiCaL version: 2.1.3
% 2.99/1.10 % (2466636)Termination reason: Refutation not found, incomplete strategy
% 2.99/1.10 % (2466636)Time elapsed: 0.003 s
% 2.99/1.10 % (2466636)Peak memory usage: 88 MB
% 2.99/1.10 % (2466636)Instructions burned: 4 (million)
% 2.99/1.10 % (2466635)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3482359451:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.99/1.10 % (2466632)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=277084597:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.99/1.10 % (2466631)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4009367695:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.99/1.10 % (2466633)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2217212197:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.99/1.10 % (2466630)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3458586604:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.99/1.10 % (2466633)Refutation not found, incomplete strategy
% 2.99/1.10 % (2466633)------------------------------
% 2.99/1.10 % (2466633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.10 % (2466633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.10 % (2466633)CaDiCaL version: 2.1.3
% 2.99/1.10 % (2466633)Termination reason: Refutation not found, incomplete strategy
% 2.99/1.10 % (2466633)Time elapsed: 0.002 s
% 2.99/1.10 % (2466633)Peak memory usage: 88 MB
% 2.99/1.10 % (2466633)Instructions burned: 1 (million)
% 2.99/1.10 % (2466635)First to succeed.
% 2.99/1.10 % (2466635)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2466621"
% 2.99/1.10 % (2466638)lrs+10_1_sil=8000:sp=occurrence:random_seed=468211889:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.99/1.10 % (2466638)Instruction limit reached!
% 2.99/1.10 % (2466638)------------------------------
% 2.99/1.10 % (2466638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.10 % (2466638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.10 % (2466638)CaDiCaL version: 2.1.3
% 2.99/1.10 % (2466638)Termination reason: Instruction limit
% 2.99/1.10 % (2466638)Termination phase: Saturation
% 2.99/1.10 % (2466638)Time elapsed: 0.063 s
% 2.99/1.10 % (2466638)Peak memory usage: 89 MB
% 2.99/1.10 % (2466638)Instructions burned: 290 (million)
% 2.99/1.10 % (2466646)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3917598825:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.99/1.10 % (2466636)------------------------------
% 2.99/1.10 % (2466636)------------------------------
% 2.99/1.10 % (2466633)------------------------------
% 2.99/1.10 % (2466633)------------------------------
% 2.99/1.10 % (2466646)Instruction limit reached!
% 2.99/1.10 % (2466646)------------------------------
% 2.99/1.10 % (2466646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.10 % (2466646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.10 % (2466646)CaDiCaL version: 2.1.3
% 2.99/1.10 % (2466646)Termination reason: Instruction limit
% 2.99/1.10 % (2466646)Termination phase: Saturation
% 2.99/1.10 % (2466646)Time elapsed: 0.036 s
% 2.99/1.10 % (2466646)Peak memory usage: 89 MB
% 2.99/1.10 % (2466646)Instructions burned: 159 (million)
% 2.99/1.10 % (2466635)Refutation found. Thanks to Tanya!
% 2.99/1.10 % SZS status Theorem for theBenchmark
% 2.99/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.29 % (2466635)------------------------------
% 3.67/1.29 % (2466635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.29 % (2466635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.29 % (2466635)CaDiCaL version: 2.1.3
% 3.67/1.29 % (2466635)Termination reason: Refutation
% 3.67/1.29 % (2466635)Time elapsed: 0.031 s
% 3.67/1.29 % (2466635)Peak memory usage: 90 MB
% 3.67/1.29 % (2466635)Instructions burned: 44 (million)
% 3.67/1.29 % (2466635)------------------------------
% 3.67/1.29 % (2466635)------------------------------
% 3.67/1.29 % (2466621)Success in time 0.432 s
% 3.67/1.29 % Vampire exiting
%------------------------------------------------------------------------------