%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN076+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:49:15 PM UTC 2026
% Result : Theorem 37.43s 6.92s
% Output : Refutation 45.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0,X1] :
( X0 != X1
& ! [X2] :
( X2 = X0
| X2 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel53_1) ).
fof(f2,conjecture,
( ? [X0] :
! [X1] :
( ? [X2] :
! [X3] :
( big_f(X1,X3)
<=> X3 = X2 )
<=> X1 = X0 )
<=> ? [X4] :
! [X5] :
( ? [X6] :
! [X7] :
( big_f(X7,X5)
<=> X7 = X6 )
<=> X5 = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel53) ).
fof(f3,negated_conjecture,
~ ( ? [X0] :
! [X1] :
( ? [X2] :
! [X3] :
( big_f(X1,X3)
<=> X3 = X2 )
<=> X1 = X0 )
<=> ? [X4] :
! [X5] :
( ? [X6] :
! [X7] :
( big_f(X7,X5)
<=> X7 = X6 )
<=> X5 = X4 ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
( ? [X0] :
! [X1] :
( ? [X2] :
! [X3] :
( big_f(X1,X3)
<=> X3 = X2 )
<=> X1 = X0 )
<~> ? [X4] :
! [X5] :
( ? [X6] :
! [X7] :
( big_f(X7,X5)
<=> X7 = X6 )
<=> X5 = X4 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,definition,
( sP0
<=> ? [X0] :
! [X1] :
( ? [X2] :
! [X3] :
( big_f(X1,X3)
<=> X3 = X2 )
<=> X1 = X0 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f6,plain,
( sP0
<~> ? [X4] :
! [X5] :
( ? [X6] :
! [X7] :
( big_f(X7,X5)
<=> X7 = X6 )
<=> X5 = X4 ) ),
inference(definition_folding,[],[f4,f5]) ).
fof(f7,plain,
( sK1 != sK2
& ! [X2] :
( sK1 = X2
| sK2 = X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f1]) ).
fof(f8,plain,
( ( sP0
| ! [X0] :
? [X1] :
( ( X0 != X1
| ! [X2] :
? [X3] :
( ( X2 != X3
| ~ big_f(X1,X3) )
& ( X3 = X2
| big_f(X1,X3) ) ) )
& ( X1 = X0
| ? [X2] :
! [X3] :
( ( big_f(X1,X3)
| X2 != X3 )
& ( X3 = X2
| ~ big_f(X1,X3) ) ) ) ) )
& ( ? [X0] :
! [X1] :
( ( ? [X2] :
! [X3] :
( ( big_f(X1,X3)
| X2 != X3 )
& ( X3 = X2
| ~ big_f(X1,X3) ) )
| X0 != X1 )
& ( X1 = X0
| ! [X2] :
? [X3] :
( ( X2 != X3
| ~ big_f(X1,X3) )
& ( X3 = X2
| big_f(X1,X3) ) ) ) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f9,plain,
( ( sP0
| ! [X0] :
? [X1] :
( ( X0 != X1
| ! [X2] :
? [X3] :
( ( X2 != X3
| ~ big_f(X1,X3) )
& ( X3 = X2
| big_f(X1,X3) ) ) )
& ( X1 = X0
| ? [X4] :
! [X5] :
( ( big_f(X1,X5)
| X4 != X5 )
& ( X4 = X5
| ~ big_f(X1,X5) ) ) ) ) )
& ( ? [X6] :
! [X7] :
( ( ? [X8] :
! [X9] :
( ( big_f(X7,X9)
| X8 != X9 )
& ( X8 = X9
| ~ big_f(X7,X9) ) )
| X6 != X7 )
& ( X6 = X7
| ! [X10] :
? [X11] :
( ( X10 != X11
| ~ big_f(X7,X11) )
& ( X10 = X11
| big_f(X7,X11) ) ) ) )
| ~ sP0 ) ),
inference(rectify,[],[f8]) ).
fof(f10,plain,
( ( sP0
| ! [X0] :
( ( sK3(X0) != X0
| ! [X2] :
( ( sK4(X0,X2) != X2
| ~ big_f(sK3(X0),sK4(X0,X2)) )
& ( sK4(X0,X2) = X2
| big_f(sK3(X0),sK4(X0,X2)) ) ) )
& ( sK3(X0) = X0
| ! [X5] :
( ( big_f(sK3(X0),X5)
| sK5(X0) != X5 )
& ( sK5(X0) = X5
| ~ big_f(sK3(X0),X5) ) ) ) ) )
& ( ! [X7] :
( ( ! [X9] :
( ( big_f(X7,X9)
| sK7(X7) != X9 )
& ( sK7(X7) = X9
| ~ big_f(X7,X9) ) )
| sK6 != X7 )
& ( sK6 = X7
| ! [X10] :
( ( sK8(X7,X10) != X10
| ~ big_f(X7,sK8(X7,X10)) )
& ( sK8(X7,X10) = X10
| big_f(X7,sK8(X7,X10)) ) ) ) )
| ~ sP0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X1,sK3(X0)),skolemize(X3,sK4(X0,X2)),skolemize(X4,sK5(X0)),skolemize(X6,sK6),skolemize(X8,sK7(X7)),skolemize(X11,sK8(X7,X10))],[f9]) ).
fof(f11,plain,
( ( ! [X4] :
? [X5] :
( ( X4 != X5
| ! [X6] :
? [X7] :
( ( X6 != X7
| ~ big_f(X7,X5) )
& ( X7 = X6
| big_f(X7,X5) ) ) )
& ( X5 = X4
| ? [X6] :
! [X7] :
( ( big_f(X7,X5)
| X6 != X7 )
& ( X7 = X6
| ~ big_f(X7,X5) ) ) ) )
| ~ sP0 )
& ( ? [X4] :
! [X5] :
( ( ? [X6] :
! [X7] :
( ( big_f(X7,X5)
| X6 != X7 )
& ( X7 = X6
| ~ big_f(X7,X5) ) )
| X4 != X5 )
& ( X5 = X4
| ! [X6] :
? [X7] :
( ( X6 != X7
| ~ big_f(X7,X5) )
& ( X7 = X6
| big_f(X7,X5) ) ) ) )
| sP0 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f12,plain,
( ( ! [X0] :
? [X1] :
( ( X0 != X1
| ! [X2] :
? [X3] :
( ( X2 != X3
| ~ big_f(X3,X1) )
& ( X2 = X3
| big_f(X3,X1) ) ) )
& ( X0 = X1
| ? [X4] :
! [X5] :
( ( big_f(X5,X1)
| X4 != X5 )
& ( X4 = X5
| ~ big_f(X5,X1) ) ) ) )
| ~ sP0 )
& ( ? [X6] :
! [X7] :
( ( ? [X8] :
! [X9] :
( ( big_f(X9,X7)
| X8 != X9 )
& ( X8 = X9
| ~ big_f(X9,X7) ) )
| X6 != X7 )
& ( X6 = X7
| ! [X10] :
? [X11] :
( ( X10 != X11
| ~ big_f(X11,X7) )
& ( X10 = X11
| big_f(X11,X7) ) ) ) )
| sP0 ) ),
inference(rectify,[],[f11]) ).
fof(f13,plain,
( ( ! [X0] :
( ( sK9(X0) != X0
| ! [X2] :
( ( sK10(X0,X2) != X2
| ~ big_f(sK10(X0,X2),sK9(X0)) )
& ( sK10(X0,X2) = X2
| big_f(sK10(X0,X2),sK9(X0)) ) ) )
& ( sK9(X0) = X0
| ! [X5] :
( ( big_f(X5,sK9(X0))
| sK11(X0) != X5 )
& ( sK11(X0) = X5
| ~ big_f(X5,sK9(X0)) ) ) ) )
| ~ sP0 )
& ( ! [X7] :
( ( ! [X9] :
( ( big_f(X9,X7)
| sK13(X7) != X9 )
& ( sK13(X7) = X9
| ~ big_f(X9,X7) ) )
| sK12 != X7 )
& ( sK12 = X7
| ! [X10] :
( ( sK14(X7,X10) != X10
| ~ big_f(sK14(X7,X10),X7) )
& ( sK14(X7,X10) = X10
| big_f(sK14(X7,X10),X7) ) ) ) )
| sP0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13,sK14]),skolemize(X1,sK9(X0)),skolemize(X3,sK10(X0,X2)),skolemize(X4,sK11(X0)),skolemize(X6,sK12),skolemize(X8,sK13(X7)),skolemize(X11,sK14(X7,X10))],[f12]) ).
fof(f14,plain,
! [X2] :
( sK2 = X2
| sK1 = X2 ),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f7]) ).
fof(f16,plain,
! [X10,X7] :
( sK6 = X7
| sK8(X7,X10) = X10
| big_f(X7,sK8(X7,X10))
| ~ sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f17,plain,
! [X10,X7] :
( sK6 = X7
| sK8(X7,X10) != X10
| ~ big_f(X7,sK8(X7,X10))
| ~ sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f18,plain,
! [X9,X7] :
( sK7(X7) = X9
| ~ big_f(X7,X9)
| sK6 != X7
| ~ sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f19,plain,
! [X9,X7] :
( big_f(X7,X9)
| sK7(X7) != X9
| sK6 != X7
| ~ sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f20,plain,
! [X0,X5] :
( sP0
| sK3(X0) = X0
| sK5(X0) = X5
| ~ big_f(sK3(X0),X5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f21,plain,
! [X0,X5] :
( sP0
| sK3(X0) = X0
| big_f(sK3(X0),X5)
| sK5(X0) != X5 ),
inference(cnf_transformation,[],[f10]) ).
fof(f22,plain,
! [X2,X0] :
( sP0
| sK3(X0) != X0
| sK4(X0,X2) = X2
| big_f(sK3(X0),sK4(X0,X2)) ),
inference(cnf_transformation,[],[f10]) ).
fof(f23,plain,
! [X2,X0] :
( sP0
| sK3(X0) != X0
| sK4(X0,X2) != X2
| ~ big_f(sK3(X0),sK4(X0,X2)) ),
inference(cnf_transformation,[],[f10]) ).
fof(f24,plain,
! [X10,X7] :
( sK12 = X7
| sK14(X7,X10) = X10
| big_f(sK14(X7,X10),X7)
| sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f25,plain,
! [X10,X7] :
( sK12 = X7
| sK14(X7,X10) != X10
| ~ big_f(sK14(X7,X10),X7)
| sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f26,plain,
! [X9,X7] :
( sK13(X7) = X9
| ~ big_f(X9,X7)
| sK12 != X7
| sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f27,plain,
! [X9,X7] :
( big_f(X9,X7)
| sK13(X7) != X9
| sK12 != X7
| sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f28,plain,
! [X0,X5] :
( sK9(X0) = X0
| sK11(X0) = X5
| ~ big_f(X5,sK9(X0))
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0,X5] :
( sK9(X0) = X0
| big_f(X5,sK9(X0))
| sK11(X0) != X5
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f30,plain,
! [X2,X0] :
( sK9(X0) != X0
| sK10(X0,X2) = X2
| big_f(sK10(X0,X2),sK9(X0))
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
! [X2,X0] :
( sK9(X0) != X0
| sK10(X0,X2) != X2
| ~ big_f(sK10(X0,X2),sK9(X0))
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
! [X0] :
( sP0
| sK3(X0) = X0
| big_f(sK3(X0),sK5(X0)) ),
inference(equality_resolution,[],[f21]) ).
fof(f33,plain,
! [X7] :
( big_f(X7,sK7(X7))
| sK6 != X7
| ~ sP0 ),
inference(equality_resolution,[],[f19]) ).
fof(f34,plain,
( big_f(sK6,sK7(sK6))
| ~ sP0 ),
inference(equality_resolution,[],[f33]) ).
fof(f35,plain,
! [X9] :
( sK7(sK6) = X9
| ~ big_f(sK6,X9)
| ~ sP0 ),
inference(equality_resolution,[],[f18]) ).
fof(f36,plain,
! [X0] :
( sK9(X0) = X0
| big_f(sK11(X0),sK9(X0))
| ~ sP0 ),
inference(equality_resolution,[],[f29]) ).
fof(f37,plain,
! [X7] :
( big_f(sK13(X7),X7)
| sK12 != X7
| sP0 ),
inference(equality_resolution,[],[f27]) ).
fof(f38,plain,
( big_f(sK13(sK12),sK12)
| sP0 ),
inference(equality_resolution,[],[f37]) ).
fof(f39,plain,
! [X9] :
( sK13(sK12) = X9
| ~ big_f(X9,sK12)
| sP0 ),
inference(equality_resolution,[],[f26]) ).
fof(f40,definition,
sF15 = sK13(sK12),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f41,plain,
sK13(sK12) = sF15,
inference(reorient_equations,[],[f40]) ).
fof(f42,plain,
( big_f(sF15,sK12)
| sP0 ),
inference(definition_folding,[],[f38,f41]) ).
fof(f43,plain,
! [X9] :
( sF15 = X9
| ~ big_f(X9,sK12)
| sP0 ),
inference(definition_folding,[],[f39,f41]) ).
fof(f45,definition,
( spl16_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f49,definition,
( spl16_2
<=> ! [X7,X10] :
( sK12 = X7
| big_f(sK14(X7,X10),X7)
| sK14(X7,X10) = X10 ) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f50,plain,
( ! [X10,X7] :
( big_f(sK14(X7,X10),X7)
| sK12 = X7
| sK14(X7,X10) = X10 )
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f51,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f24,f49,f45]) ).
fof(f53,definition,
( spl16_3
<=> ! [X7,X10] :
( sK12 = X7
| ~ big_f(sK14(X7,X10),X7)
| sK14(X7,X10) != X10 ) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f54,plain,
( ! [X10,X7] :
( sK14(X7,X10) != X10
| ~ big_f(sK14(X7,X10),X7)
| sK12 = X7 )
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f55,plain,
( spl16_1
| spl16_3 ),
inference(avatar_split_clause,[],[f25,f53,f45]) ).
fof(f57,definition,
( spl16_4
<=> ! [X9] :
( sF15 = X9
| ~ big_f(X9,sK12) ) ),
introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).
fof(f58,plain,
( ! [X9] :
( ~ big_f(X9,sK12)
| sF15 = X9 )
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f59,plain,
( spl16_1
| spl16_4 ),
inference(avatar_split_clause,[],[f43,f57,f45]) ).
fof(f61,definition,
( spl16_5
<=> big_f(sF15,sK12) ),
introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).
fof(f63,plain,
( big_f(sF15,sK12)
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,plain,
( spl16_1
| spl16_5 ),
inference(avatar_split_clause,[],[f42,f61,f45]) ).
fof(f66,definition,
( spl16_6
<=> ! [X5,X0] :
( sK9(X0) = X0
| ~ big_f(X5,sK9(X0))
| sK11(X0) = X5 ) ),
introduced(definition,[new_symbols(definition,[spl16_6])],[avatar_definition]) ).
fof(f67,plain,
( ! [X0,X5] :
( ~ big_f(X5,sK9(X0))
| sK9(X0) = X0
| sK11(X0) = X5 )
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f68,plain,
( ~ spl16_1
| spl16_6 ),
inference(avatar_split_clause,[],[f28,f66,f45]) ).
fof(f70,definition,
( spl16_7
<=> ! [X0] :
( sK9(X0) = X0
| big_f(sK11(X0),sK9(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl16_7])],[avatar_definition]) ).
fof(f71,plain,
( ! [X0] :
( big_f(sK11(X0),sK9(X0))
| sK9(X0) = X0 )
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f72,plain,
( ~ spl16_1
| spl16_7 ),
inference(avatar_split_clause,[],[f36,f70,f45]) ).
fof(f74,definition,
( spl16_8
<=> ! [X2,X0] :
( sK9(X0) != X0
| big_f(sK10(X0,X2),sK9(X0))
| sK10(X0,X2) = X2 ) ),
introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).
fof(f75,plain,
( ! [X2,X0] :
( sK9(X0) != X0
| big_f(sK10(X0,X2),sK9(X0))
| sK10(X0,X2) = X2 )
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( ~ spl16_1
| spl16_8 ),
inference(avatar_split_clause,[],[f30,f74,f45]) ).
fof(f78,definition,
( spl16_9
<=> ! [X2,X0] :
( sK9(X0) != X0
| ~ big_f(sK10(X0,X2),sK9(X0))
| sK10(X0,X2) != X2 ) ),
introduced(definition,[new_symbols(definition,[spl16_9])],[avatar_definition]) ).
fof(f79,plain,
( ! [X2,X0] :
( sK10(X0,X2) != X2
| ~ big_f(sK10(X0,X2),sK9(X0))
| sK9(X0) != X0 )
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f80,plain,
( ~ spl16_1
| spl16_9 ),
inference(avatar_split_clause,[],[f31,f78,f45]) ).
fof(f82,definition,
( spl16_10
<=> ! [X7,X10] :
( sK6 = X7
| big_f(X7,sK8(X7,X10))
| sK8(X7,X10) = X10 ) ),
introduced(definition,[new_symbols(definition,[spl16_10])],[avatar_definition]) ).
fof(f83,plain,
( ! [X10,X7] :
( big_f(X7,sK8(X7,X10))
| sK6 = X7
| sK8(X7,X10) = X10 )
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( ~ spl16_1
| spl16_10 ),
inference(avatar_split_clause,[],[f16,f82,f45]) ).
fof(f86,definition,
( spl16_11
<=> ! [X7,X10] :
( sK6 = X7
| ~ big_f(X7,sK8(X7,X10))
| sK8(X7,X10) != X10 ) ),
introduced(definition,[new_symbols(definition,[spl16_11])],[avatar_definition]) ).
fof(f87,plain,
( ! [X10,X7] :
( sK8(X7,X10) != X10
| ~ big_f(X7,sK8(X7,X10))
| sK6 = X7 )
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f88,plain,
( ~ spl16_1
| spl16_11 ),
inference(avatar_split_clause,[],[f17,f86,f45]) ).
fof(f90,definition,
( spl16_12
<=> ! [X9] :
( sK7(sK6) = X9
| ~ big_f(sK6,X9) ) ),
introduced(definition,[new_symbols(definition,[spl16_12])],[avatar_definition]) ).
fof(f91,plain,
( ! [X9] :
( ~ big_f(sK6,X9)
| sK7(sK6) = X9 )
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f92,plain,
( ~ spl16_1
| spl16_12 ),
inference(avatar_split_clause,[],[f35,f90,f45]) ).
fof(f94,definition,
( spl16_13
<=> big_f(sK6,sK7(sK6)) ),
introduced(definition,[new_symbols(definition,[spl16_13])],[avatar_definition]) ).
fof(f96,plain,
( big_f(sK6,sK7(sK6))
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( ~ spl16_1
| spl16_13 ),
inference(avatar_split_clause,[],[f34,f94,f45]) ).
fof(f99,definition,
( spl16_14
<=> ! [X5,X0] :
( sK3(X0) = X0
| ~ big_f(sK3(X0),X5)
| sK5(X0) = X5 ) ),
introduced(definition,[new_symbols(definition,[spl16_14])],[avatar_definition]) ).
fof(f100,plain,
( ! [X0,X5] :
( ~ big_f(sK3(X0),X5)
| sK3(X0) = X0
| sK5(X0) = X5 )
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f101,plain,
( spl16_14
| spl16_1 ),
inference(avatar_split_clause,[],[f20,f45,f99]) ).
fof(f103,definition,
( spl16_15
<=> ! [X0] :
( sK3(X0) = X0
| big_f(sK3(X0),sK5(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl16_15])],[avatar_definition]) ).
fof(f104,plain,
( ! [X0] :
( big_f(sK3(X0),sK5(X0))
| sK3(X0) = X0 )
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f105,plain,
( spl16_15
| spl16_1 ),
inference(avatar_split_clause,[],[f32,f45,f103]) ).
fof(f107,definition,
( spl16_16
<=> ! [X2,X0] :
( sK3(X0) != X0
| big_f(sK3(X0),sK4(X0,X2))
| sK4(X0,X2) = X2 ) ),
introduced(definition,[new_symbols(definition,[spl16_16])],[avatar_definition]) ).
fof(f108,plain,
( ! [X2,X0] :
( sK3(X0) != X0
| big_f(sK3(X0),sK4(X0,X2))
| sK4(X0,X2) = X2 )
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f109,plain,
( spl16_16
| spl16_1 ),
inference(avatar_split_clause,[],[f22,f45,f107]) ).
fof(f111,definition,
( spl16_17
<=> ! [X2,X0] :
( sK3(X0) != X0
| ~ big_f(sK3(X0),sK4(X0,X2))
| sK4(X0,X2) != X2 ) ),
introduced(definition,[new_symbols(definition,[spl16_17])],[avatar_definition]) ).
fof(f112,plain,
( ! [X2,X0] :
( sK4(X0,X2) != X2
| ~ big_f(sK3(X0),sK4(X0,X2))
| sK3(X0) != X0 )
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f113,plain,
( spl16_17
| spl16_1 ),
inference(avatar_split_clause,[],[f23,f45,f111]) ).
fof(f118,plain,
! [X0,X1] :
( X0 = X1
| sK1 = X1
| sK1 = X0 ),
inference(superposition,[],[f14,f14]) ).
fof(f120,plain,
( ! [X0] :
( big_f(sK2,sK5(X0))
| sK2 = X0
| sK1 = sK3(X0) )
| ~ spl16_15 ),
inference(superposition,[],[f104,f14]) ).
fof(f121,plain,
( ! [X0,X1] :
( sK2 != X0
| big_f(sK2,sK4(X0,X1))
| sK4(X0,X1) = X1
| sK1 = sK3(X0) )
| ~ spl16_16 ),
inference(superposition,[],[f108,f14]) ).
fof(f122,plain,
( ! [X0,X1] :
( sK3(X0) != X0
| ~ big_f(sK3(X0),sK2)
| sK2 != X1
| sK1 = sK4(X0,X1) )
| ~ spl16_17 ),
inference(superposition,[],[f112,f14]) ).
fof(f123,plain,
( ! [X0] :
( big_f(sK3(X0),sK2)
| sK3(X0) = X0
| sK1 = sK5(X0) )
| ~ spl16_15 ),
inference(superposition,[],[f104,f14]) ).
fof(f124,plain,
( big_f(sF15,sK2)
| sK1 = sK12
| ~ spl16_5 ),
inference(superposition,[],[f63,f14]) ).
fof(f125,plain,
( ! [X0] :
( ~ big_f(X0,sK2)
| sF15 = X0
| sK1 = sK12 )
| ~ spl16_4 ),
inference(superposition,[],[f58,f14]) ).
fof(f128,plain,
( ! [X0,X1] :
( big_f(sK2,X0)
| sK12 = X0
| sK2 = X1
| sK1 = sK14(X0,X1) )
| ~ spl16_2 ),
inference(superposition,[],[f50,f14]) ).
fof(f129,plain,
( big_f(sK2,sK12)
| sK1 = sF15
| ~ spl16_5 ),
inference(superposition,[],[f63,f14]) ).
fof(f132,definition,
( spl16_18
<=> sK1 = sF15 ),
introduced(definition,[new_symbols(definition,[spl16_18])],[avatar_definition]) ).
fof(f133,plain,
( sK1 != sF15
| spl16_18 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f134,plain,
( sK1 = sF15
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f136,definition,
( spl16_19
<=> big_f(sK2,sK12) ),
introduced(definition,[new_symbols(definition,[spl16_19])],[avatar_definition]) ).
fof(f137,plain,
( ~ big_f(sK2,sK12)
| spl16_19 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f138,plain,
( big_f(sK2,sK12)
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( spl16_18
| spl16_19
| ~ spl16_5 ),
inference(avatar_split_clause,[],[f129,f61,f136,f132]) ).
fof(f142,definition,
( spl16_20
<=> sK1 = sK12 ),
introduced(definition,[new_symbols(definition,[spl16_20])],[avatar_definition]) ).
fof(f143,plain,
( sK1 != sK12
| spl16_20 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f144,plain,
( sK1 = sK12
| ~ spl16_20 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f151,definition,
( spl16_22
<=> ! [X0] :
( ~ big_f(X0,sK2)
| sF15 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_22])],[avatar_definition]) ).
fof(f152,plain,
( ! [X0] :
( ~ big_f(X0,sK2)
| sF15 = X0 )
| ~ spl16_22 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f153,plain,
( spl16_20
| spl16_22
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f125,f57,f151,f142]) ).
fof(f155,definition,
( spl16_23
<=> big_f(sF15,sK2) ),
introduced(definition,[new_symbols(definition,[spl16_23])],[avatar_definition]) ).
fof(f157,plain,
( big_f(sF15,sK2)
| ~ spl16_23 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f158,plain,
( spl16_20
| spl16_23
| ~ spl16_5 ),
inference(avatar_split_clause,[],[f124,f61,f155,f142]) ).
fof(f160,plain,
( big_f(sK1,sK12)
| ~ spl16_5
| ~ spl16_18 ),
inference(superposition,[],[f63,f134]) ).
fof(f163,plain,
( big_f(sF15,sK1)
| ~ spl16_5
| ~ spl16_20 ),
inference(superposition,[],[f63,f144]) ).
fof(f164,plain,
( ! [X0] :
( ~ big_f(X0,sK1)
| sF15 = X0 )
| ~ spl16_4
| ~ spl16_20 ),
inference(superposition,[],[f58,f144]) ).
fof(f167,plain,
( ! [X0] :
( sK1 = X0
| ~ big_f(X0,sK1) )
| ~ spl16_4
| ~ spl16_18
| ~ spl16_20 ),
inference(forward_demodulation,[],[f164,f134]) ).
fof(f169,plain,
( ! [X0,X1] :
( sK2 != X1
| ~ big_f(sK2,X0)
| sK12 = X0
| sK1 = sK14(X0,X1) )
| ~ spl16_3 ),
inference(superposition,[],[f54,f14]) ).
fof(f217,plain,
( ! [X0,X1] :
( ~ big_f(X0,sK1)
| sF15 = X0
| sK12 = X1
| sK1 = X1 )
| ~ spl16_4 ),
inference(superposition,[],[f58,f118]) ).
fof(f222,plain,
( ! [X0] :
( big_f(sK1,sK12)
| sF15 = X0
| sK1 = X0 )
| ~ spl16_5 ),
inference(superposition,[],[f63,f118]) ).
fof(f234,plain,
! [X0] :
( sK1 = sF15
| sK13(sK12) = X0
| sK1 = X0 ),
inference(superposition,[],[f41,f118]) ).
fof(f264,plain,
( ! [X0] :
( big_f(sK1,sK1)
| sF15 = X0
| sK1 = X0 )
| ~ spl16_5
| ~ spl16_20 ),
inference(forward_demodulation,[],[f222,f144]) ).
fof(f295,plain,
( ! [X0,X1] :
( sK2 != X0
| ~ big_f(sK2,sK2)
| sK2 != X1
| sK1 = sK4(X0,X1)
| sK1 = sK3(X0) )
| ~ spl16_17 ),
inference(superposition,[],[f122,f14]) ).
fof(f297,definition,
( spl16_24
<=> big_f(sK2,sK2) ),
introduced(definition,[new_symbols(definition,[spl16_24])],[avatar_definition]) ).
fof(f298,plain,
( big_f(sK2,sK2)
| ~ spl16_24 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f299,plain,
( ~ big_f(sK2,sK2)
| spl16_24 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f301,definition,
( spl16_25
<=> ! [X0,X1] :
( sK2 != X0
| sK1 = sK3(X0)
| sK1 = sK4(X0,X1)
| sK2 != X1 ) ),
introduced(definition,[new_symbols(definition,[spl16_25])],[avatar_definition]) ).
fof(f302,plain,
( ! [X0,X1] :
( sK2 != X1
| sK1 = sK3(X0)
| sK1 = sK4(X0,X1)
| sK2 != X0 )
| ~ spl16_25 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f303,plain,
( ~ spl16_24
| spl16_25
| ~ spl16_17 ),
inference(avatar_split_clause,[],[f295,f111,f301,f297]) ).
fof(f305,definition,
( spl16_26
<=> big_f(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl16_26])],[avatar_definition]) ).
fof(f306,plain,
( big_f(sK1,sK2)
| ~ spl16_26 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f307,plain,
( ~ big_f(sK1,sK2)
| spl16_26 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f422,plain,
( ! [X0,X1] :
( big_f(sK2,X0)
| sK2 = X1
| sK1 = sK3(X1)
| sK1 = sK5(X1)
| sK1 = X0 )
| ~ spl16_15 ),
inference(superposition,[],[f120,f118]) ).
fof(f503,definition,
( spl16_28
<=> sK1 = sK3(sK1) ),
introduced(definition,[new_symbols(definition,[spl16_28])],[avatar_definition]) ).
fof(f504,plain,
( sK1 != sK3(sK1)
| spl16_28 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f505,plain,
( sK1 = sK3(sK1)
| ~ spl16_28 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f526,definition,
( spl16_33
<=> sK2 = sK3(sK1) ),
introduced(definition,[new_symbols(definition,[spl16_33])],[avatar_definition]) ).
fof(f527,plain,
( sK2 != sK3(sK1)
| spl16_33 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f528,plain,
( sK2 = sK3(sK1)
| ~ spl16_33 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f534,definition,
( spl16_35
<=> sK1 = sK5(sK1) ),
introduced(definition,[new_symbols(definition,[spl16_35])],[avatar_definition]) ).
fof(f535,plain,
( sK1 != sK5(sK1)
| spl16_35 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f536,plain,
( sK1 = sK5(sK1)
| ~ spl16_35 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f546,plain,
( big_f(sK2,sK1)
| ~ spl16_19
| ~ spl16_20 ),
inference(forward_demodulation,[],[f138,f144]) ).
fof(f547,plain,
( ! [X0] :
( sK13(sK12) = X0
| sK1 = X0 )
| spl16_18 ),
inference(forward_subsumption_resolution,[],[f234,f133]) ).
fof(f554,definition,
( spl16_38
<=> ! [X0] :
( sF15 = X0
| sK1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_38])],[avatar_definition]) ).
fof(f555,plain,
( ! [X0] :
( sF15 = X0
| sK1 = X0 )
| ~ spl16_38 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f557,definition,
( spl16_39
<=> big_f(sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl16_39])],[avatar_definition]) ).
fof(f558,plain,
( ~ big_f(sK1,sK1)
| spl16_39 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f559,plain,
( big_f(sK1,sK1)
| ~ spl16_39 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f561,plain,
( spl16_38
| spl16_39
| ~ spl16_5
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f264,f142,f61,f557,f554]) ).
fof(f566,definition,
( spl16_41
<=> big_f(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl16_41])],[avatar_definition]) ).
fof(f567,plain,
( ~ big_f(sK2,sK1)
| spl16_41 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f568,plain,
( big_f(sK2,sK1)
| ~ spl16_41 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f575,plain,
( spl16_41
| ~ spl16_19
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f546,f142,f136,f566]) ).
fof(f576,plain,
( ! [X0] :
( sF15 = X0
| sK1 = X0 )
| spl16_18 ),
inference(forward_demodulation,[],[f547,f41]) ).
fof(f580,plain,
( spl16_38
| spl16_18 ),
inference(avatar_split_clause,[],[f576,f132,f554]) ).
fof(f583,plain,
( big_f(sK1,sK2)
| ~ spl16_18
| ~ spl16_23 ),
inference(forward_demodulation,[],[f157,f134]) ).
fof(f585,definition,
( spl16_43
<=> ! [X1] :
( sK2 = X1
| sK1 = sK5(X1)
| sK1 = sK3(X1) ) ),
introduced(definition,[new_symbols(definition,[spl16_43])],[avatar_definition]) ).
fof(f586,plain,
( ! [X1] :
( sK1 = sK5(X1)
| sK2 = X1
| sK1 = sK3(X1) )
| ~ spl16_43 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f588,definition,
( spl16_44
<=> ! [X0] :
( big_f(sK2,X0)
| sK1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_44])],[avatar_definition]) ).
fof(f589,plain,
( ! [X0] :
( big_f(sK2,X0)
| sK1 = X0 )
| ~ spl16_44 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f591,plain,
( spl16_43
| spl16_44
| ~ spl16_15 ),
inference(avatar_split_clause,[],[f422,f103,f588,f585]) ).
fof(f613,definition,
( spl16_45
<=> ! [X0] :
( sK12 = X0
| sK1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_45])],[avatar_definition]) ).
fof(f614,plain,
( ! [X0] :
( sK12 = X0
| sK1 = X0 )
| ~ spl16_45 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f621,definition,
( spl16_47
<=> ! [X0] :
( sK1 = X0
| ~ big_f(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl16_47])],[avatar_definition]) ).
fof(f622,plain,
( ! [X0] :
( ~ big_f(X0,sK1)
| sK1 = X0 )
| ~ spl16_47 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f634,definition,
( spl16_49
<=> ! [X0] :
( ~ big_f(X0,sK1)
| sF15 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_49])],[avatar_definition]) ).
fof(f635,plain,
( ! [X0] :
( ~ big_f(X0,sK1)
| sF15 = X0 )
| ~ spl16_49 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f638,definition,
( spl16_50
<=> big_f(sF15,sK1) ),
introduced(definition,[new_symbols(definition,[spl16_50])],[avatar_definition]) ).
fof(f640,plain,
( big_f(sF15,sK1)
| ~ spl16_50 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f643,plain,
( spl16_45
| spl16_49
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f217,f57,f634,f613]) ).
fof(f695,plain,
( ! [X0] :
( big_f(X0,sK12)
| sK1 = X0 )
| ~ spl16_5
| ~ spl16_38 ),
inference(superposition,[],[f63,f555]) ).
fof(f706,plain,
( ! [X0] :
( sK1 != sF15
| sK1 = X0 )
| ~ spl16_38 ),
inference(equality_factoring,[],[f555]) ).
fof(f721,definition,
( spl16_54
<=> ! [X0] :
( big_f(X0,sK1)
| sK1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_54])],[avatar_definition]) ).
fof(f722,plain,
( ! [X0] :
( big_f(X0,sK1)
| sK1 = X0 )
| ~ spl16_54 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f726,plain,
( spl16_26
| ~ spl16_18
| ~ spl16_23 ),
inference(avatar_split_clause,[],[f583,f155,f132,f305]) ).
fof(f728,plain,
( ! [X0] : sK1 = X0
| ~ spl16_18
| ~ spl16_38 ),
inference(forward_subsumption_resolution,[],[f706,f134]) ).
fof(f729,plain,
( ! [X0,X1] : X0 = X1
| ~ spl16_18
| ~ spl16_38 ),
inference(superposition,[],[f728,f728]) ).
fof(f795,plain,
( ! [X2,X0,X1] :
( X0 != X2
| ~ big_f(sK3(X1),X0)
| sK3(X1) != X1 )
| ~ spl16_17
| ~ spl16_18
| ~ spl16_38 ),
inference(superposition,[],[f112,f729]) ).
fof(f798,plain,
( ! [X0] : big_f(sF15,X0)
| ~ spl16_5
| ~ spl16_18
| ~ spl16_38 ),
inference(superposition,[],[f63,f729]) ).
fof(f806,plain,
( ! [X0] : big_f(sK1,X0)
| ~ spl16_5
| ~ spl16_18
| ~ spl16_38 ),
inference(forward_demodulation,[],[f798,f134]) ).
fof(f807,plain,
( ! [X0,X1] :
( ~ big_f(sK3(X1),X0)
| sK3(X1) != X1 )
| ~ spl16_17
| ~ spl16_18
| ~ spl16_38 ),
inference(forward_subsumption_resolution,[],[f795,f729]) ).
fof(f810,plain,
( ! [X0,X1] : ~ big_f(sK3(X1),X0)
| ~ spl16_17
| ~ spl16_18
| ~ spl16_38 ),
inference(forward_subsumption_resolution,[],[f807,f729]) ).
fof(f822,plain,
( ! [X2,X0] : ~ big_f(X0,X2)
| ~ spl16_17
| ~ spl16_18
| ~ spl16_38 ),
inference(superposition,[],[f810,f729]) ).
fof(f836,plain,
( ! [X0,X1] : big_f(X0,X1)
| ~ spl16_5
| ~ spl16_18
| ~ spl16_38 ),
inference(superposition,[],[f806,f728]) ).
fof(f845,plain,
( $false
| ~ spl16_5
| ~ spl16_17
| ~ spl16_18
| ~ spl16_38 ),
inference(forward_subsumption_resolution,[],[f836,f822]) ).
fof(f846,plain,
( ~ spl16_5
| ~ spl16_17
| ~ spl16_18
| ~ spl16_38 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f874,definition,
( spl16_56
<=> ! [X0] : sK1 = X0 ),
introduced(definition,[new_symbols(definition,[spl16_56])],[avatar_definition]) ).
fof(f875,plain,
( ! [X0] : sK1 = X0
| ~ spl16_56 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f902,plain,
( ! [X0] :
( sK1 = sK14(sK1,X0)
| sK1 = sK12
| sK14(sK1,X0) = X0 )
| ~ spl16_2
| ~ spl16_47 ),
inference(resolution,[],[f622,f50]) ).
fof(f917,plain,
( sK2 = sF15
| ~ spl16_4
| ~ spl16_19 ),
inference(resolution,[],[f138,f58]) ).
fof(f932,plain,
( sK1 = sK2
| ~ spl16_4
| ~ spl16_18
| ~ spl16_19 ),
inference(forward_demodulation,[],[f917,f134]) ).
fof(f936,plain,
( $false
| ~ spl16_4
| ~ spl16_18
| ~ spl16_19 ),
inference(forward_subsumption_resolution,[],[f932,f15]) ).
fof(f937,plain,
( ~ spl16_4
| ~ spl16_18
| ~ spl16_19 ),
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f941,plain,
( ~ big_f(sK2,sK1)
| spl16_19
| ~ spl16_20 ),
inference(forward_demodulation,[],[f137,f144]) ).
fof(f1177,plain,
( sK1 = sF15
| ~ spl16_39
| ~ spl16_49 ),
inference(resolution,[],[f635,f559]) ).
fof(f1185,plain,
( ! [X0] :
( big_f(X0,X0)
| sK1 = X0 )
| ~ spl16_24 ),
inference(superposition,[],[f298,f14]) ).
fof(f1194,plain,
( sK1 = sK12
| sK12 = sF15
| ~ spl16_4
| ~ spl16_24 ),
inference(resolution,[],[f1185,f58]) ).
fof(f1238,plain,
( ! [X0] :
( big_f(sK2,sK4(sK2,X0))
| sK4(sK2,X0) = X0
| sK1 = sK3(sK2) )
| ~ spl16_16 ),
inference(equality_resolution,[],[f121]) ).
fof(f1240,definition,
( spl16_57
<=> sK1 = sK3(sK2) ),
introduced(definition,[new_symbols(definition,[spl16_57])],[avatar_definition]) ).
fof(f1241,plain,
( sK1 != sK3(sK2)
| spl16_57 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f1242,plain,
( sK1 = sK3(sK2)
| ~ spl16_57 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f1244,definition,
( spl16_58
<=> ! [X0] :
( big_f(sK2,sK4(sK2,X0))
| sK4(sK2,X0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_58])],[avatar_definition]) ).
fof(f1245,plain,
( ! [X0] :
( big_f(sK2,sK4(sK2,X0))
| sK4(sK2,X0) = X0 )
| ~ spl16_58 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f1246,plain,
( spl16_57
| spl16_58
| ~ spl16_16 ),
inference(avatar_split_clause,[],[f1238,f107,f1244,f1240]) ).
fof(f1255,plain,
( ! [X0] :
( ~ big_f(sK1,X0)
| sK1 = sK2
| sK5(sK2) = X0 )
| ~ spl16_14
| ~ spl16_57 ),
inference(superposition,[],[f100,f1242]) ).
fof(f1256,plain,
( big_f(sK1,sK5(sK2))
| sK1 = sK2
| ~ spl16_15
| ~ spl16_57 ),
inference(superposition,[],[f104,f1242]) ).
fof(f1259,plain,
( big_f(sK1,sK2)
| sK1 = sK2
| sK1 = sK5(sK2)
| ~ spl16_15
| ~ spl16_57 ),
inference(superposition,[],[f123,f1242]) ).
fof(f1262,plain,
( sK1 = sK2
| sK1 = sK5(sK2)
| ~ spl16_15
| spl16_26
| ~ spl16_57 ),
inference(forward_subsumption_resolution,[],[f1259,f307]) ).
fof(f1263,plain,
( big_f(sK1,sK5(sK2))
| ~ spl16_15
| ~ spl16_57 ),
inference(forward_subsumption_resolution,[],[f1256,f15]) ).
fof(f1264,plain,
( ! [X0] :
( ~ big_f(sK1,X0)
| sK5(sK2) = X0 )
| ~ spl16_14
| ~ spl16_57 ),
inference(forward_subsumption_resolution,[],[f1255,f15]) ).
fof(f1267,plain,
( sK1 = sK5(sK2)
| ~ spl16_15
| spl16_26
| ~ spl16_57 ),
inference(forward_subsumption_resolution,[],[f1262,f15]) ).
fof(f1278,plain,
( big_f(sK3(sK2),sK1)
| sK2 = sK3(sK2)
| ~ spl16_15
| spl16_26
| ~ spl16_57 ),
inference(superposition,[],[f104,f1267]) ).
fof(f1283,plain,
( big_f(sK1,sK1)
| sK2 = sK3(sK2)
| ~ spl16_15
| spl16_26
| ~ spl16_57 ),
inference(forward_demodulation,[],[f1278,f1242]) ).
fof(f1295,plain,
( big_f(sK1,sK2)
| sK1 = sK5(sK2)
| ~ spl16_15
| ~ spl16_57 ),
inference(superposition,[],[f1263,f14]) ).
fof(f1304,plain,
( sK1 = sK5(sK2)
| ~ spl16_14
| ~ spl16_39
| ~ spl16_57 ),
inference(resolution,[],[f1264,f559]) ).
fof(f1305,plain,
( sK12 = sK5(sK2)
| ~ spl16_5
| ~ spl16_14
| ~ spl16_18
| ~ spl16_57 ),
inference(resolution,[],[f1264,f160]) ).
fof(f1365,plain,
( ! [X0] :
( ~ big_f(sK2,X0)
| sK12 = X0
| sK1 = sK14(X0,sK2) )
| ~ spl16_3 ),
inference(equality_resolution,[],[f169]) ).
fof(f1366,plain,
( ! [X0] :
( ~ big_f(sK2,X0)
| sK1 = X0
| sK1 = sK14(X0,sK2) )
| ~ spl16_3
| ~ spl16_20 ),
inference(forward_demodulation,[],[f1365,f144]) ).
fof(f1370,plain,
( sK1 = sK2
| sK1 = sK14(sK2,sK2)
| sK1 = sK2
| ~ spl16_3
| ~ spl16_20
| ~ spl16_24 ),
inference(resolution,[],[f1366,f1185]) ).
fof(f1376,plain,
( sK1 = sK2
| sK1 = sK14(sK2,sK2)
| ~ spl16_3
| ~ spl16_20
| ~ spl16_24 ),
inference(duplicate_literal_removal,[],[f1370]) ).
fof(f1379,plain,
( sK1 = sK14(sK2,sK2)
| ~ spl16_3
| ~ spl16_20
| ~ spl16_24 ),
inference(forward_subsumption_resolution,[],[f1376,f15]) ).
fof(f1392,plain,
( big_f(sK1,sK2)
| sK2 = sK12
| sK1 = sK2
| ~ spl16_2
| ~ spl16_3
| ~ spl16_20
| ~ spl16_24 ),
inference(superposition,[],[f50,f1379]) ).
fof(f1395,plain,
( sK2 = sK12
| sK1 = sK2
| ~ spl16_2
| ~ spl16_3
| ~ spl16_20
| ~ spl16_24
| spl16_26 ),
inference(forward_subsumption_resolution,[],[f1392,f307]) ).
fof(f1398,plain,
( sK2 = sK12
| ~ spl16_2
| ~ spl16_3
| ~ spl16_20
| ~ spl16_24
| spl16_26 ),
inference(forward_subsumption_resolution,[],[f1395,f15]) ).
fof(f1399,plain,
( sK1 = sK2
| ~ spl16_2
| ~ spl16_3
| ~ spl16_20
| ~ spl16_24
| spl16_26 ),
inference(forward_demodulation,[],[f1398,f144]) ).
fof(f1400,plain,
( $false
| ~ spl16_2
| ~ spl16_3
| ~ spl16_20
| ~ spl16_24
| spl16_26 ),
inference(forward_subsumption_resolution,[],[f1399,f15]) ).
fof(f1401,plain,
( ~ spl16_2
| ~ spl16_3
| ~ spl16_20
| ~ spl16_24
| spl16_26 ),
inference(avatar_contradiction_clause,[],[f1400]) ).
fof(f1406,plain,
( sK1 = sK2
| ~ spl16_28
| ~ spl16_33 ),
inference(forward_demodulation,[],[f528,f505]) ).
fof(f1407,plain,
( $false
| ~ spl16_28
| ~ spl16_33 ),
inference(forward_subsumption_resolution,[],[f1406,f15]) ).
fof(f1408,plain,
( ~ spl16_28
| ~ spl16_33 ),
inference(avatar_contradiction_clause,[],[f1407]) ).
fof(f1416,plain,
( ! [X0] :
( ~ big_f(sK2,X0)
| sK1 = sK2
| sK5(sK1) = X0 )
| ~ spl16_14
| ~ spl16_33 ),
inference(superposition,[],[f100,f528]) ).
fof(f1417,plain,
( big_f(sK2,sK5(sK1))
| sK1 = sK2
| ~ spl16_15
| ~ spl16_33 ),
inference(superposition,[],[f104,f528]) ).
fof(f1420,plain,
( big_f(sK2,sK2)
| sK1 = sK2
| sK1 = sK5(sK1)
| ~ spl16_15
| ~ spl16_33 ),
inference(superposition,[],[f123,f528]) ).
fof(f1421,plain,
( big_f(sK2,sK5(sK1))
| ~ spl16_15
| ~ spl16_33 ),
inference(forward_subsumption_resolution,[],[f1417,f15]) ).
fof(f1422,plain,
( ! [X0] :
( ~ big_f(sK2,X0)
| sK5(sK1) = X0 )
| ~ spl16_14
| ~ spl16_33 ),
inference(forward_subsumption_resolution,[],[f1416,f15]) ).
fof(f1425,plain,
( big_f(sK2,sK1)
| ~ spl16_15
| ~ spl16_33
| ~ spl16_35 ),
inference(forward_demodulation,[],[f1421,f536]) ).
fof(f1426,plain,
( ! [X0] :
( ~ big_f(sK2,X0)
| sK1 = X0 )
| ~ spl16_14
| ~ spl16_33
| ~ spl16_35 ),
inference(forward_demodulation,[],[f1422,f536]) ).
fof(f1429,plain,
( $false
| ~ spl16_15
| ~ spl16_33
| ~ spl16_35
| spl16_41 ),
inference(forward_subsumption_resolution,[],[f1425,f567]) ).
fof(f1430,plain,
( ~ spl16_15
| ~ spl16_33
| ~ spl16_35
| spl16_41 ),
inference(avatar_contradiction_clause,[],[f1429]) ).
fof(f1431,plain,
( sK1 = sK2
| sK1 = sK5(sK1)
| ~ spl16_15
| spl16_24
| ~ spl16_33 ),
inference(forward_subsumption_resolution,[],[f1420,f299]) ).
fof(f1432,plain,
( sK1 = sK5(sK1)
| ~ spl16_15
| spl16_24
| ~ spl16_33 ),
inference(forward_subsumption_resolution,[],[f1431,f15]) ).
fof(f1433,plain,
( $false
| ~ spl16_15
| spl16_24
| ~ spl16_33
| spl16_35 ),
inference(forward_subsumption_resolution,[],[f1432,f535]) ).
fof(f1434,plain,
( ~ spl16_15
| spl16_24
| ~ spl16_33
| spl16_35 ),
inference(avatar_contradiction_clause,[],[f1433]) ).
fof(f1538,definition,
( spl16_62
<=> ! [X0,X1] :
( sK1 = X0
| sK1 = X1
| sK3(X0) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl16_62])],[avatar_definition]) ).
fof(f1539,plain,
( ! [X0,X1] :
( sK3(X0) = X1
| sK1 = X1
| sK1 = X0 )
| ~ spl16_62 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f1558,definition,
( spl16_66
<=> ! [X2] :
( sK5(sK1) = X2
| sK1 = X2 ) ),
introduced(definition,[new_symbols(definition,[spl16_66])],[avatar_definition]) ).
fof(f1559,plain,
( ! [X2] :
( sK5(sK1) = X2
| sK1 = X2 )
| ~ spl16_66 ),
inference(avatar_component_clause,[],[f1558]) ).
fof(f1580,definition,
( spl16_70
<=> ! [X0] :
( ~ big_f(X0,sK2)
| sK1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_70])],[avatar_definition]) ).
fof(f1581,plain,
( ! [X0] :
( ~ big_f(X0,sK2)
| sK1 = X0 )
| ~ spl16_70 ),
inference(avatar_component_clause,[],[f1580]) ).
fof(f1612,definition,
( spl16_72
<=> sK1 = sK4(sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl16_72])],[avatar_definition]) ).
fof(f1613,plain,
( sK1 != sK4(sK1,sK1)
| spl16_72 ),
inference(avatar_component_clause,[],[f1612]) ).
fof(f1614,plain,
( sK1 = sK4(sK1,sK1)
| ~ spl16_72 ),
inference(avatar_component_clause,[],[f1612]) ).
fof(f1658,definition,
( spl16_74
<=> big_f(sK5(sK1),sK2) ),
introduced(definition,[new_symbols(definition,[spl16_74])],[avatar_definition]) ).
fof(f1659,plain,
( ~ big_f(sK5(sK1),sK2)
| spl16_74 ),
inference(avatar_component_clause,[],[f1658]) ).
fof(f1660,plain,
( big_f(sK5(sK1),sK2)
| ~ spl16_74 ),
inference(avatar_component_clause,[],[f1658]) ).
fof(f1675,plain,
( ! [X0] :
( big_f(sK6,X0)
| sK1 = X0
| sK1 = sK7(sK6) )
| ~ spl16_13 ),
inference(superposition,[],[f96,f118]) ).
fof(f1681,definition,
( spl16_76
<=> sK1 = sK7(sK6) ),
introduced(definition,[new_symbols(definition,[spl16_76])],[avatar_definition]) ).
fof(f1682,plain,
( sK1 != sK7(sK6)
| spl16_76 ),
inference(avatar_component_clause,[],[f1681]) ).
fof(f1683,plain,
( sK1 = sK7(sK6)
| ~ spl16_76 ),
inference(avatar_component_clause,[],[f1681]) ).
fof(f1693,definition,
( spl16_79
<=> big_f(sK6,sK1) ),
introduced(definition,[new_symbols(definition,[spl16_79])],[avatar_definition]) ).
fof(f1694,plain,
( ~ big_f(sK6,sK1)
| spl16_79 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f1695,plain,
( big_f(sK6,sK1)
| ~ spl16_79 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f1699,definition,
( spl16_80
<=> ! [X0] :
( big_f(sK6,X0)
| sK1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_80])],[avatar_definition]) ).
fof(f1700,plain,
( ! [X0] :
( big_f(sK6,X0)
| sK1 = X0 )
| ~ spl16_80 ),
inference(avatar_component_clause,[],[f1699]) ).
fof(f1702,plain,
( spl16_76
| spl16_80
| ~ spl16_13 ),
inference(avatar_split_clause,[],[f1675,f94,f1699,f1681]) ).
fof(f1704,definition,
( spl16_81
<=> big_f(sK6,sK2) ),
introduced(definition,[new_symbols(definition,[spl16_81])],[avatar_definition]) ).
fof(f1705,plain,
( ~ big_f(sK6,sK2)
| spl16_81 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f1706,plain,
( big_f(sK6,sK2)
| ~ spl16_81 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f1712,plain,
( big_f(sK6,sK1)
| ~ spl16_13
| ~ spl16_76 ),
inference(superposition,[],[f96,f1683]) ).
fof(f1718,plain,
( sK2 != sK2
| sK1 = sK3(sK1)
| spl16_33 ),
inference(superposition,[],[f527,f14]) ).
fof(f1723,plain,
( sK1 = sK3(sK1)
| spl16_33 ),
inference(trivial_inequality_removal,[],[f1718]) ).
fof(f1726,plain,
( $false
| spl16_28
| spl16_33 ),
inference(forward_subsumption_resolution,[],[f1723,f504]) ).
fof(f1727,plain,
( spl16_28
| spl16_33 ),
inference(avatar_contradiction_clause,[],[f1726]) ).
fof(f1737,plain,
( ! [X0] :
( sK1 != sK1
| ~ big_f(sK1,sK2)
| sK2 != X0
| sK1 = sK4(sK1,X0) )
| ~ spl16_17
| ~ spl16_28 ),
inference(superposition,[],[f122,f505]) ).
fof(f1741,plain,
( ! [X0,X1] :
( sK9(X0) != X0
| ~ big_f(sK2,sK9(X0))
| sK2 != X1
| sK1 = sK10(X0,X1) )
| ~ spl16_9 ),
inference(superposition,[],[f79,f14]) ).
fof(f1747,plain,
( ! [X0] :
( big_f(sK2,sK9(X0))
| sK9(X0) = X0
| sK1 = sK11(X0) )
| ~ spl16_7 ),
inference(superposition,[],[f71,f14]) ).
fof(f1753,plain,
( ! [X0] :
( big_f(sK11(X0),sK2)
| sK2 = X0
| sK1 = sK9(X0) )
| ~ spl16_7 ),
inference(superposition,[],[f71,f14]) ).
fof(f1773,plain,
( ! [X0] :
( sK1 = sK2
| sK2 = sK12
| sK2 = X0
| sK1 = sK14(sK2,X0) )
| ~ spl16_2
| ~ spl16_70 ),
inference(resolution,[],[f1581,f128]) ).
fof(f1784,plain,
( ! [X0] :
( sK2 = sK12
| sK2 = X0
| sK1 = sK14(sK2,X0) )
| ~ spl16_2
| ~ spl16_70 ),
inference(forward_subsumption_resolution,[],[f1773,f15]) ).
fof(f1786,plain,
( ! [X0] :
( sK1 = sK2
| sK2 = X0
| sK1 = sK14(sK2,X0) )
| ~ spl16_2
| ~ spl16_20
| ~ spl16_70 ),
inference(forward_demodulation,[],[f1784,f144]) ).
fof(f1787,plain,
( ! [X0] :
( sK1 = sK14(sK2,X0)
| sK2 = X0 )
| ~ spl16_2
| ~ spl16_20
| ~ spl16_70 ),
inference(forward_subsumption_resolution,[],[f1786,f15]) ).
fof(f1818,plain,
( ! [X0,X1] :
( sK2 != X1
| ~ big_f(X0,sK2)
| sK6 = X0
| sK1 = sK8(X0,X1) )
| ~ spl16_11 ),
inference(superposition,[],[f87,f14]) ).
fof(f1843,plain,
( ! [X0] :
( sK1 != sK1
| sK5(sK1) = X0
| sK1 = X0 )
| spl16_35 ),
inference(superposition,[],[f535,f118]) ).
fof(f1844,plain,
( ! [X0] :
( sK5(sK1) = X0
| sK1 = X0 )
| spl16_35 ),
inference(trivial_inequality_removal,[],[f1843]) ).
fof(f1849,plain,
( ! [X0,X1] :
( big_f(X0,sK2)
| sK6 = X0
| sK2 = X1
| sK1 = sK8(X0,X1) )
| ~ spl16_10 ),
inference(superposition,[],[f83,f14]) ).
fof(f1859,definition,
( spl16_83
<=> sK2 = sK6 ),
introduced(definition,[new_symbols(definition,[spl16_83])],[avatar_definition]) ).
fof(f1860,plain,
( sK2 != sK6
| spl16_83 ),
inference(avatar_component_clause,[],[f1859]) ).
fof(f1861,plain,
( sK2 = sK6
| ~ spl16_83 ),
inference(avatar_component_clause,[],[f1859]) ).
fof(f1868,plain,
( ! [X0] :
( sK1 = X0
| sK6 = X0 )
| ~ spl16_83 ),
inference(superposition,[],[f14,f1861]) ).
fof(f1876,plain,
( ! [X0] :
( ~ big_f(X0,sK6)
| sK1 = X0 )
| ~ spl16_70
| ~ spl16_83 ),
inference(superposition,[],[f1581,f1861]) ).
fof(f1882,plain,
( ! [X0,X1] :
( sK2 != X0
| big_f(sK10(X0,X1),sK2)
| sK10(X0,X1) = X1
| sK1 = sK9(X0) )
| ~ spl16_8 ),
inference(superposition,[],[f75,f14]) ).
fof(f2185,plain,
( sK1 != sK1
| sK6 = sK5(sK1)
| spl16_35
| ~ spl16_83 ),
inference(superposition,[],[f535,f1868]) ).
fof(f2210,plain,
( sK6 = sK5(sK1)
| spl16_35
| ~ spl16_83 ),
inference(trivial_inequality_removal,[],[f2185]) ).
fof(f2219,definition,
( spl16_84
<=> sK6 = sK5(sK1) ),
introduced(definition,[new_symbols(definition,[spl16_84])],[avatar_definition]) ).
fof(f2220,plain,
( sK6 != sK5(sK1)
| spl16_84 ),
inference(avatar_component_clause,[],[f2219]) ).
fof(f2221,plain,
( sK6 = sK5(sK1)
| ~ spl16_84 ),
inference(avatar_component_clause,[],[f2219]) ).
fof(f2224,plain,
( spl16_84
| spl16_35
| ~ spl16_83 ),
inference(avatar_split_clause,[],[f2210,f1859,f534,f2219]) ).
fof(f2400,plain,
( sK1 = sK7(sK6)
| ~ spl16_12
| ~ spl16_79 ),
inference(resolution,[],[f1695,f91]) ).
fof(f2402,plain,
( sK1 = sK6
| ~ spl16_47
| ~ spl16_79 ),
inference(resolution,[],[f1695,f622]) ).
fof(f2736,definition,
( spl16_91
<=> big_f(sK5(sK6),sK6) ),
introduced(definition,[new_symbols(definition,[spl16_91])],[avatar_definition]) ).
fof(f2737,plain,
( ~ big_f(sK5(sK6),sK6)
| spl16_91 ),
inference(avatar_component_clause,[],[f2736]) ).
fof(f2738,plain,
( big_f(sK5(sK6),sK6)
| ~ spl16_91 ),
inference(avatar_component_clause,[],[f2736]) ).
fof(f3071,definition,
( spl16_96
<=> ! [X0] : sK6 = X0 ),
introduced(definition,[new_symbols(definition,[spl16_96])],[avatar_definition]) ).
fof(f3072,plain,
( ! [X0] : sK6 = X0
| ~ spl16_96 ),
inference(avatar_component_clause,[],[f3071]) ).
fof(f3130,definition,
( spl16_98
<=> big_f(sK3(sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl16_98])],[avatar_definition]) ).
fof(f3131,plain,
( ~ big_f(sK3(sK2),sK2)
| spl16_98 ),
inference(avatar_component_clause,[],[f3130]) ).
fof(f3132,plain,
( big_f(sK3(sK2),sK2)
| ~ spl16_98 ),
inference(avatar_component_clause,[],[f3130]) ).
fof(f3147,definition,
( spl16_102
<=> sK6 = sK5(sK2) ),
introduced(definition,[new_symbols(definition,[spl16_102])],[avatar_definition]) ).
fof(f3148,plain,
( sK6 != sK5(sK2)
| spl16_102 ),
inference(avatar_component_clause,[],[f3147]) ).
fof(f3149,plain,
( sK6 = sK5(sK2)
| ~ spl16_102 ),
inference(avatar_component_clause,[],[f3147]) ).
fof(f3224,definition,
( spl16_105
<=> sK6 = sK4(sK6,sK6) ),
introduced(definition,[new_symbols(definition,[spl16_105])],[avatar_definition]) ).
fof(f3225,plain,
( sK6 != sK4(sK6,sK6)
| spl16_105 ),
inference(avatar_component_clause,[],[f3224]) ).
fof(f3226,plain,
( sK6 = sK4(sK6,sK6)
| ~ spl16_105 ),
inference(avatar_component_clause,[],[f3224]) ).
fof(f3383,plain,
( sK2 = sK3(sK2)
| sK2 = sK5(sK2)
| ~ spl16_14
| ~ spl16_98 ),
inference(resolution,[],[f3132,f100]) ).
fof(f3408,definition,
( spl16_107
<=> sK2 = sK5(sK2) ),
introduced(definition,[new_symbols(definition,[spl16_107])],[avatar_definition]) ).
fof(f3409,plain,
( sK2 != sK5(sK2)
| spl16_107 ),
inference(avatar_component_clause,[],[f3408]) ).
fof(f3410,plain,
( sK2 = sK5(sK2)
| ~ spl16_107 ),
inference(avatar_component_clause,[],[f3408]) ).
fof(f3412,definition,
( spl16_108
<=> sK2 = sK3(sK2) ),
introduced(definition,[new_symbols(definition,[spl16_108])],[avatar_definition]) ).
fof(f3413,plain,
( sK2 != sK3(sK2)
| spl16_108 ),
inference(avatar_component_clause,[],[f3412]) ).
fof(f3414,plain,
( sK2 = sK3(sK2)
| ~ spl16_108 ),
inference(avatar_component_clause,[],[f3412]) ).
fof(f3439,plain,
( sK1 = sK5(sK2)
| ~ spl16_15
| spl16_26
| ~ spl16_57 ),
inference(forward_subsumption_resolution,[],[f1295,f307]) ).
fof(f3521,plain,
( sK2 = sK6
| sK1 = sK5(sK2)
| ~ spl16_102 ),
inference(superposition,[],[f3149,f14]) ).
fof(f3531,plain,
( sK1 = sK5(sK2)
| spl16_83
| ~ spl16_102 ),
inference(forward_subsumption_resolution,[],[f3521,f1860]) ).
fof(f3536,plain,
( sK1 = sK6
| spl16_83
| ~ spl16_102 ),
inference(forward_demodulation,[],[f3531,f3149]) ).
fof(f3702,plain,
( spl16_47
| ~ spl16_4
| ~ spl16_18
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f167,f142,f132,f57,f621]) ).
fof(f3750,definition,
( spl16_109
<=> sK6 = sK5(sK6) ),
introduced(definition,[new_symbols(definition,[spl16_109])],[avatar_definition]) ).
fof(f3751,plain,
( sK6 = sK5(sK6)
| ~ spl16_109 ),
inference(avatar_component_clause,[],[f3750]) ).
fof(f3752,plain,
( sK6 != sK5(sK6)
| spl16_109 ),
inference(avatar_component_clause,[],[f3750]) ).
fof(f3766,definition,
( spl16_110
<=> sK6 = sK3(sK6) ),
introduced(definition,[new_symbols(definition,[spl16_110])],[avatar_definition]) ).
fof(f3767,plain,
( sK6 != sK3(sK6)
| spl16_110 ),
inference(avatar_component_clause,[],[f3766]) ).
fof(f3768,plain,
( sK6 = sK3(sK6)
| ~ spl16_110 ),
inference(avatar_component_clause,[],[f3766]) ).
fof(f3877,plain,
( spl16_66
| spl16_35 ),
inference(avatar_split_clause,[],[f1844,f534,f1558]) ).
fof(f4008,plain,
( ! [X0] :
( ~ big_f(sK1,X0)
| sK1 = X0 )
| ~ spl16_14
| ~ spl16_15
| spl16_26
| ~ spl16_57 ),
inference(forward_demodulation,[],[f1264,f3439]) ).
fof(f4088,definition,
( spl16_120
<=> sK1 = sK5(sK6) ),
introduced(definition,[new_symbols(definition,[spl16_120])],[avatar_definition]) ).
fof(f4090,plain,
( sK1 = sK5(sK6)
| ~ spl16_120 ),
inference(avatar_component_clause,[],[f4088]) ).
fof(f4151,plain,
( ! [X0,X1] :
( sK5(sK1) != X1
| ~ big_f(sK3(X0),sK5(sK1))
| sK3(X0) != X0
| sK1 = sK4(X0,X1) )
| ~ spl16_17
| ~ spl16_66 ),
inference(superposition,[],[f112,f1559]) ).
fof(f4285,plain,
( big_f(sK3(sK6),sK1)
| sK6 = sK3(sK6)
| ~ spl16_15
| ~ spl16_120 ),
inference(superposition,[],[f104,f4090]) ).
fof(f4715,definition,
( spl16_123
<=> sK1 = sK4(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl16_123])],[avatar_definition]) ).
fof(f4716,plain,
( sK1 != sK4(sK1,sK2)
| spl16_123 ),
inference(avatar_component_clause,[],[f4715]) ).
fof(f4717,plain,
( sK1 = sK4(sK1,sK2)
| ~ spl16_123 ),
inference(avatar_component_clause,[],[f4715]) ).
fof(f4957,plain,
( sK1 != sK1
| ~ big_f(sK3(sK1),sK1)
| sK1 != sK3(sK1)
| ~ spl16_17
| ~ spl16_72 ),
inference(superposition,[],[f112,f1614]) ).
fof(f4958,plain,
( ~ big_f(sK3(sK1),sK1)
| sK1 != sK3(sK1)
| ~ spl16_17
| ~ spl16_72 ),
inference(trivial_inequality_removal,[],[f4957]) ).
fof(f4961,plain,
( ~ big_f(sK3(sK1),sK1)
| ~ spl16_17
| ~ spl16_28
| ~ spl16_72 ),
inference(forward_subsumption_resolution,[],[f4958,f505]) ).
fof(f4962,plain,
( ~ big_f(sK1,sK1)
| ~ spl16_17
| ~ spl16_28
| ~ spl16_72 ),
inference(forward_demodulation,[],[f4961,f505]) ).
fof(f4963,plain,
( $false
| ~ spl16_17
| ~ spl16_28
| ~ spl16_39
| ~ spl16_72 ),
inference(forward_subsumption_resolution,[],[f4962,f559]) ).
fof(f4964,plain,
( ~ spl16_17
| ~ spl16_28
| ~ spl16_39
| ~ spl16_72 ),
inference(avatar_contradiction_clause,[],[f4963]) ).
fof(f5080,plain,
( ! [X0] :
( big_f(sK2,sK2)
| sK2 = X0
| sK1 = sK9(X0)
| sK1 = sK11(X0) )
| ~ spl16_7 ),
inference(superposition,[],[f1753,f14]) ).
fof(f5097,plain,
( ! [X0] :
( sK2 = X0
| sK1 = sK9(X0)
| sK1 = sK11(X0) )
| ~ spl16_7
| spl16_24 ),
inference(forward_subsumption_resolution,[],[f5080,f299]) ).
fof(f5508,plain,
( ! [X0] :
( sK6 = sK5(sK1)
| sK2 = X0
| sK1 = sK8(sK5(sK1),X0) )
| ~ spl16_10
| spl16_74 ),
inference(resolution,[],[f1659,f1849]) ).
fof(f5839,definition,
( spl16_133
<=> ! [X0] :
( sK6 = X0
| sK1 = sK8(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_133])],[avatar_definition]) ).
fof(f5840,plain,
( ! [X0] :
( sK1 = sK8(sK1,X0)
| sK6 = X0 )
| ~ spl16_133 ),
inference(avatar_component_clause,[],[f5839]) ).
fof(f5842,definition,
( spl16_134
<=> sK1 = sK14(sK6,sK6) ),
introduced(definition,[new_symbols(definition,[spl16_134])],[avatar_definition]) ).
fof(f5843,plain,
( sK1 != sK14(sK6,sK6)
| spl16_134 ),
inference(avatar_component_clause,[],[f5842]) ).
fof(f5844,plain,
( sK1 = sK14(sK6,sK6)
| ~ spl16_134 ),
inference(avatar_component_clause,[],[f5842]) ).
fof(f5857,plain,
( sK1 != sK6
| ~ big_f(sK1,sK6)
| sK6 = sK12
| ~ spl16_3
| ~ spl16_134 ),
inference(superposition,[],[f54,f5844]) ).
fof(f5858,plain,
( big_f(sK1,sK6)
| sK6 = sK12
| sK1 = sK6
| ~ spl16_2
| ~ spl16_134 ),
inference(superposition,[],[f50,f5844]) ).
fof(f6386,definition,
( spl16_139
<=> big_f(sK1,sK6) ),
introduced(definition,[new_symbols(definition,[spl16_139])],[avatar_definition]) ).
fof(f6387,plain,
( big_f(sK1,sK6)
| ~ spl16_139 ),
inference(avatar_component_clause,[],[f6386]) ).
fof(f6388,plain,
( ~ big_f(sK1,sK6)
| spl16_139 ),
inference(avatar_component_clause,[],[f6386]) ).
fof(f6394,plain,
( ! [X0] :
( sK1 != sK1
| sK14(sK6,sK6) = X0
| sK1 = X0 )
| spl16_134 ),
inference(superposition,[],[f5843,f118]) ).
fof(f6396,plain,
( ! [X0] :
( sK14(sK6,sK6) = X0
| sK1 = X0 )
| spl16_134 ),
inference(trivial_inequality_removal,[],[f6394]) ).
fof(f6408,plain,
( ! [X0] :
( big_f(X0,sK6)
| sK6 = sK12
| sK6 = X0
| sK1 = X0 )
| ~ spl16_2
| spl16_134 ),
inference(superposition,[],[f50,f6396]) ).
fof(f6469,definition,
( spl16_142
<=> sK6 = sK14(sK6,sK6) ),
introduced(definition,[new_symbols(definition,[spl16_142])],[avatar_definition]) ).
fof(f6470,plain,
( sK6 != sK14(sK6,sK6)
| spl16_142 ),
inference(avatar_component_clause,[],[f6469]) ).
fof(f6471,plain,
( sK6 = sK14(sK6,sK6)
| ~ spl16_142 ),
inference(avatar_component_clause,[],[f6469]) ).
fof(f6565,plain,
( sK6 != sK6
| ~ big_f(sK6,sK6)
| sK6 = sK12
| ~ spl16_3
| ~ spl16_142 ),
inference(superposition,[],[f54,f6471]) ).
fof(f7236,plain,
( ! [X0] :
( sK3(X0) != X0
| ~ big_f(sK3(X0),sK5(sK1))
| sK1 = sK4(X0,sK5(sK1)) )
| ~ spl16_17
| ~ spl16_66 ),
inference(equality_resolution,[],[f4151]) ).
fof(f7252,plain,
( ! [X0] :
( big_f(sK10(sK2,X0),sK2)
| sK10(sK2,X0) = X0
| sK1 = sK9(sK2) )
| ~ spl16_8 ),
inference(equality_resolution,[],[f1882]) ).
fof(f7262,definition,
( spl16_149
<=> sK1 = sK9(sK6) ),
introduced(definition,[new_symbols(definition,[spl16_149])],[avatar_definition]) ).
fof(f7264,plain,
( sK1 = sK9(sK6)
| ~ spl16_149 ),
inference(avatar_component_clause,[],[f7262]) ).
fof(f7277,definition,
( spl16_150
<=> sK6 = sK9(sK6) ),
introduced(definition,[new_symbols(definition,[spl16_150])],[avatar_definition]) ).
fof(f7278,plain,
( sK6 = sK9(sK6)
| ~ spl16_150 ),
inference(avatar_component_clause,[],[f7277]) ).
fof(f7279,plain,
( sK6 != sK9(sK6)
| spl16_150 ),
inference(avatar_component_clause,[],[f7277]) ).
fof(f7311,plain,
( sK2 = sK6
| sK1 = sK9(sK6)
| ~ spl16_150 ),
inference(superposition,[],[f7278,f14]) ).
fof(f7317,plain,
( ! [X0] :
( sK6 != sK6
| big_f(sK10(sK6,X0),sK6)
| sK10(sK6,X0) = X0 )
| ~ spl16_8
| ~ spl16_150 ),
inference(superposition,[],[f75,f7278]) ).
fof(f7379,plain,
( ! [X0] :
( ~ big_f(X0,sK2)
| sK6 = X0
| sK1 = sK8(X0,sK2) )
| ~ spl16_11 ),
inference(equality_resolution,[],[f1818]) ).
fof(f8081,plain,
( sK1 = sK9(sK6)
| spl16_83
| ~ spl16_150 ),
inference(forward_subsumption_resolution,[],[f7311,f1860]) ).
fof(f8211,definition,
( spl16_157
<=> ! [X0] :
( big_f(sK10(sK2,X0),sK2)
| sK10(sK2,X0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_157])],[avatar_definition]) ).
fof(f8212,plain,
( ! [X0] :
( big_f(sK10(sK2,X0),sK2)
| sK10(sK2,X0) = X0 )
| ~ spl16_157 ),
inference(avatar_component_clause,[],[f8211]) ).
fof(f8214,definition,
( spl16_158
<=> sK6 = sK9(sK2) ),
introduced(definition,[new_symbols(definition,[spl16_158])],[avatar_definition]) ).
fof(f8215,plain,
( sK6 != sK9(sK2)
| spl16_158 ),
inference(avatar_component_clause,[],[f8214]) ).
fof(f8216,plain,
( sK6 = sK9(sK2)
| ~ spl16_158 ),
inference(avatar_component_clause,[],[f8214]) ).
fof(f8218,plain,
( sK1 = sK6
| spl16_83
| ~ spl16_150 ),
inference(forward_demodulation,[],[f8081,f7278]) ).
fof(f8332,definition,
( spl16_159
<=> sK6 = sK14(sK6,sK2) ),
introduced(definition,[new_symbols(definition,[spl16_159])],[avatar_definition]) ).
fof(f8333,plain,
( sK6 != sK14(sK6,sK2)
| spl16_159 ),
inference(avatar_component_clause,[],[f8332]) ).
fof(f8334,plain,
( sK6 = sK14(sK6,sK2)
| ~ spl16_159 ),
inference(avatar_component_clause,[],[f8332]) ).
fof(f8379,definition,
( spl16_162
<=> ! [X2] :
( sK6 = sK8(sK2,X2)
| sK2 = X2 ) ),
introduced(definition,[new_symbols(definition,[spl16_162])],[avatar_definition]) ).
fof(f8380,plain,
( ! [X2] :
( sK6 = sK8(sK2,X2)
| sK2 = X2 )
| ~ spl16_162 ),
inference(avatar_component_clause,[],[f8379]) ).
fof(f8443,definition,
( spl16_175
<=> ! [X0] :
( sK2 = X0
| sK1 = sK11(X0)
| sK1 = sK9(X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_175])],[avatar_definition]) ).
fof(f8444,plain,
( ! [X0] :
( sK1 = sK11(X0)
| sK2 = X0
| sK1 = sK9(X0) )
| ~ spl16_175 ),
inference(avatar_component_clause,[],[f8443]) ).
fof(f8473,definition,
( spl16_178
<=> big_f(sK2,sK5(sK1)) ),
introduced(definition,[new_symbols(definition,[spl16_178])],[avatar_definition]) ).
fof(f8474,plain,
( big_f(sK2,sK5(sK1))
| ~ spl16_178 ),
inference(avatar_component_clause,[],[f8473]) ).
fof(f8494,definition,
( spl16_182
<=> sK1 = sK6 ),
introduced(definition,[new_symbols(definition,[spl16_182])],[avatar_definition]) ).
fof(f8495,plain,
( sK1 != sK6
| spl16_182 ),
inference(avatar_component_clause,[],[f8494]) ).
fof(f8496,plain,
( sK1 = sK6
| ~ spl16_182 ),
inference(avatar_component_clause,[],[f8494]) ).
fof(f8505,definition,
( spl16_184
<=> ! [X1] : sK2 = X1 ),
introduced(definition,[new_symbols(definition,[spl16_184])],[avatar_definition]) ).
fof(f8506,plain,
( ! [X1] : sK2 = X1
| ~ spl16_184 ),
inference(avatar_component_clause,[],[f8505]) ).
fof(f8516,definition,
( spl16_187
<=> ! [X0] :
( big_f(X0,sK2)
| sK1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_187])],[avatar_definition]) ).
fof(f8517,plain,
( ! [X0] :
( big_f(X0,sK2)
| sK1 = X0 )
| ~ spl16_187 ),
inference(avatar_component_clause,[],[f8516]) ).
fof(f8521,plain,
( spl16_175
| ~ spl16_7
| spl16_24 ),
inference(avatar_split_clause,[],[f5097,f297,f70,f8443]) ).
fof(f8559,definition,
( spl16_194
<=> ! [X0] :
( sK2 = X0
| sK1 = sK8(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_194])],[avatar_definition]) ).
fof(f8560,plain,
( ! [X0] :
( sK1 = sK8(sK1,X0)
| sK2 = X0 )
| ~ spl16_194 ),
inference(avatar_component_clause,[],[f8559]) ).
fof(f8567,definition,
( spl16_196
<=> sK1 = sK9(sK2) ),
introduced(definition,[new_symbols(definition,[spl16_196])],[avatar_definition]) ).
fof(f8569,plain,
( sK1 = sK9(sK2)
| ~ spl16_196 ),
inference(avatar_component_clause,[],[f8567]) ).
fof(f8570,plain,
( spl16_196
| spl16_157
| ~ spl16_8 ),
inference(avatar_split_clause,[],[f7252,f74,f8211,f8567]) ).
fof(f8577,plain,
( spl16_182
| spl16_83
| ~ spl16_150 ),
inference(avatar_split_clause,[],[f8218,f7277,f1859,f8494]) ).
fof(f8584,definition,
( spl16_198
<=> sK1 = sK14(sK2,sK6) ),
introduced(definition,[new_symbols(definition,[spl16_198])],[avatar_definition]) ).
fof(f8585,plain,
( sK1 != sK14(sK2,sK6)
| spl16_198 ),
inference(avatar_component_clause,[],[f8584]) ).
fof(f8586,plain,
( sK1 = sK14(sK2,sK6)
| ~ spl16_198 ),
inference(avatar_component_clause,[],[f8584]) ).
fof(f8597,plain,
( sK6 = sK12
| sK1 = sK6
| ~ spl16_2
| ~ spl16_134
| spl16_139 ),
inference(forward_subsumption_resolution,[],[f5858,f6388]) ).
fof(f8628,plain,
( sK6 = sK12
| ~ spl16_2
| ~ spl16_134
| spl16_139
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f8597,f8495]) ).
fof(f8637,plain,
( sK1 = sK6
| ~ spl16_2
| ~ spl16_20
| ~ spl16_134
| spl16_139
| spl16_182 ),
inference(forward_demodulation,[],[f8628,f144]) ).
fof(f8642,plain,
( $false
| ~ spl16_2
| ~ spl16_20
| ~ spl16_134
| spl16_139
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f8637,f8495]) ).
fof(f8643,plain,
( ~ spl16_2
| ~ spl16_20
| ~ spl16_134
| spl16_139
| spl16_182 ),
inference(avatar_contradiction_clause,[],[f8642]) ).
fof(f8660,definition,
( spl16_199
<=> sK1 = sK4(sK1,sK6) ),
introduced(definition,[new_symbols(definition,[spl16_199])],[avatar_definition]) ).
fof(f8661,plain,
( sK1 != sK4(sK1,sK6)
| spl16_199 ),
inference(avatar_component_clause,[],[f8660]) ).
fof(f8662,plain,
( sK1 = sK4(sK1,sK6)
| ~ spl16_199 ),
inference(avatar_component_clause,[],[f8660]) ).
fof(f8667,plain,
( ! [X0,X1] : X0 = X1
| ~ spl16_96 ),
inference(superposition,[],[f3072,f3072]) ).
fof(f8703,plain,
( sK1 != sK6
| ~ spl16_96 ),
inference(superposition,[],[f15,f3072]) ).
fof(f8804,plain,
( ! [X0] :
( sK1 != X0
| ~ big_f(sK1,sK1)
| sK1 = sK6
| sK2 = X0 )
| ~ spl16_11
| ~ spl16_194 ),
inference(superposition,[],[f87,f8560]) ).
fof(f8969,definition,
( spl16_201
<=> ! [X0] :
( sK1 = X0
| sK3(X0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_201])],[avatar_definition]) ).
fof(f8970,plain,
( ! [X0] :
( sK3(X0) = X0
| sK1 = X0 )
| ~ spl16_201 ),
inference(avatar_component_clause,[],[f8969]) ).
fof(f8972,definition,
( spl16_202
<=> ! [X1] :
( sK6 = X1
| sK1 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl16_202])],[avatar_definition]) ).
fof(f8973,plain,
( ! [X1] :
( sK1 = X1
| sK6 = X1 )
| ~ spl16_202 ),
inference(avatar_component_clause,[],[f8972]) ).
fof(f9104,definition,
( spl16_206
<=> ! [X1] :
( big_f(sK1,X1)
| sK1 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl16_206])],[avatar_definition]) ).
fof(f9105,plain,
( ! [X1] :
( big_f(sK1,X1)
| sK1 = X1 )
| ~ spl16_206 ),
inference(avatar_component_clause,[],[f9104]) ).
fof(f9392,plain,
( ! [X0] :
( sK2 != sK2
| ~ big_f(sK2,sK2)
| sK2 != X0
| sK1 = sK4(sK2,X0) )
| ~ spl16_17
| ~ spl16_108 ),
inference(superposition,[],[f122,f3414]) ).
fof(f9516,plain,
( sK2 != sK2
| ~ big_f(sK2,sK5(sK1))
| sK1 = sK4(sK2,sK5(sK1))
| ~ spl16_17
| ~ spl16_66
| ~ spl16_108 ),
inference(superposition,[],[f7236,f3414]) ).
fof(f9527,plain,
( ~ big_f(sK2,sK5(sK1))
| sK1 = sK4(sK2,sK5(sK1))
| ~ spl16_17
| ~ spl16_66
| ~ spl16_108 ),
inference(trivial_inequality_removal,[],[f9516]) ).
fof(f9541,plain,
( sK1 = sK4(sK2,sK5(sK1))
| ~ spl16_17
| ~ spl16_66
| ~ spl16_108
| ~ spl16_178 ),
inference(forward_subsumption_resolution,[],[f9527,f8474]) ).
fof(f9889,plain,
( $false
| ~ spl16_56
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f8495,f875]) ).
fof(f9890,plain,
( ~ spl16_56
| spl16_182 ),
inference(avatar_contradiction_clause,[],[f9889]) ).
fof(f9899,plain,
( $false
| ~ spl16_56
| spl16_123 ),
inference(forward_subsumption_resolution,[],[f4716,f875]) ).
fof(f9900,plain,
( ~ spl16_56
| spl16_123 ),
inference(avatar_contradiction_clause,[],[f9899]) ).
fof(f9917,plain,
( $false
| ~ spl16_96 ),
inference(forward_subsumption_resolution,[],[f8703,f8667]) ).
fof(f9918,plain,
~ spl16_96,
inference(avatar_contradiction_clause,[],[f9917]) ).
fof(f10458,plain,
( sK6 != sK5(sK6)
| spl16_35
| ~ spl16_182 ),
inference(superposition,[],[f535,f8496]) ).
fof(f10464,plain,
( big_f(sK6,sK6)
| ~ spl16_79
| ~ spl16_182 ),
inference(superposition,[],[f1695,f8496]) ).
fof(f10568,plain,
( ! [X2,X0,X1] :
( X0 != X1
| ~ big_f(X0,sK2)
| sK2 != X2
| sK1 = sK4(X1,X2)
| sK1 = X0
| sK1 = X1 )
| ~ spl16_17
| ~ spl16_62 ),
inference(superposition,[],[f122,f1539]) ).
fof(f10707,definition,
( spl16_224
<=> ! [X1] :
( sK1 = sK4(X1,sK5(sK1))
| sK1 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl16_224])],[avatar_definition]) ).
fof(f10708,plain,
( ! [X1] :
( sK1 = sK4(X1,sK5(sK1))
| sK1 = X1 )
| ~ spl16_224 ),
inference(avatar_component_clause,[],[f10707]) ).
fof(f10815,plain,
( ! [X0,X1] : X0 = X1
| ~ spl16_184 ),
inference(superposition,[],[f8506,f8506]) ).
fof(f10822,plain,
( ! [X0] : sK1 != X0
| ~ spl16_184 ),
inference(superposition,[],[f15,f8506]) ).
fof(f11108,definition,
( spl16_227
<=> big_f(sK2,sK4(sK6,sK6)) ),
introduced(definition,[new_symbols(definition,[spl16_227])],[avatar_definition]) ).
fof(f11109,plain,
( big_f(sK2,sK4(sK6,sK6))
| ~ spl16_227 ),
inference(avatar_component_clause,[],[f11108]) ).
fof(f11110,plain,
( ~ big_f(sK2,sK4(sK6,sK6))
| spl16_227 ),
inference(avatar_component_clause,[],[f11108]) ).
fof(f11265,plain,
( ! [X0] :
( sK1 = sK4(X0,sK5(sK1))
| sK1 = X0 )
| ~ spl16_17
| ~ spl16_66
| ~ spl16_108
| ~ spl16_178 ),
inference(superposition,[],[f9541,f14]) ).
fof(f11277,plain,
( sK1 = sK4(sK2,sK2)
| sK1 = sK5(sK1)
| ~ spl16_17
| ~ spl16_66
| ~ spl16_108
| ~ spl16_178 ),
inference(superposition,[],[f9541,f14]) ).
fof(f11296,plain,
( sK1 = sK4(sK2,sK2)
| ~ spl16_17
| spl16_35
| ~ spl16_66
| ~ spl16_108
| ~ spl16_178 ),
inference(forward_subsumption_resolution,[],[f11277,f535]) ).
fof(f11321,plain,
( ! [X0] :
( big_f(sK2,sK2)
| sK2 = X0
| sK1 = sK10(sK2,X0) )
| ~ spl16_157 ),
inference(superposition,[],[f8212,f14]) ).
fof(f11343,plain,
( ! [X0] :
( sK1 = sK10(sK2,X0)
| sK2 = X0 )
| spl16_24
| ~ spl16_157 ),
inference(forward_subsumption_resolution,[],[f11321,f299]) ).
fof(f11534,definition,
( spl16_233
<=> big_f(sK2,sK4(sK1,sK6)) ),
introduced(definition,[new_symbols(definition,[spl16_233])],[avatar_definition]) ).
fof(f11535,plain,
( big_f(sK2,sK4(sK1,sK6))
| ~ spl16_233 ),
inference(avatar_component_clause,[],[f11534]) ).
fof(f11536,plain,
( ~ big_f(sK2,sK4(sK1,sK6))
| spl16_233 ),
inference(avatar_component_clause,[],[f11534]) ).
fof(f11592,definition,
( spl16_237
<=> sK2 = sK9(sK2) ),
introduced(definition,[new_symbols(definition,[spl16_237])],[avatar_definition]) ).
fof(f11593,plain,
( sK2 = sK9(sK2)
| ~ spl16_237 ),
inference(avatar_component_clause,[],[f11592]) ).
fof(f11594,plain,
( sK2 != sK9(sK2)
| spl16_237 ),
inference(avatar_component_clause,[],[f11592]) ).
fof(f11605,plain,
( sK2 != sK2
| sK1 = sK9(sK2)
| spl16_237 ),
inference(superposition,[],[f11594,f14]) ).
fof(f11606,plain,
( ! [X0] :
( sK2 != X0
| sK1 = X0
| sK1 = sK9(sK2) )
| spl16_237 ),
inference(superposition,[],[f11594,f118]) ).
fof(f11612,plain,
( sK1 = sK9(sK2)
| spl16_237 ),
inference(trivial_inequality_removal,[],[f11605]) ).
fof(f11614,definition,
( spl16_239
<=> sK2 = sK5(sK1) ),
introduced(definition,[new_symbols(definition,[spl16_239])],[avatar_definition]) ).
fof(f11615,plain,
( sK2 = sK5(sK1)
| ~ spl16_239 ),
inference(avatar_component_clause,[],[f11614]) ).
fof(f11616,plain,
( sK2 != sK5(sK1)
| spl16_239 ),
inference(avatar_component_clause,[],[f11614]) ).
fof(f11620,plain,
( ! [X0] :
( sK1 = X0
| sK1 = sK9(sK2) )
| spl16_237 ),
inference(forward_subsumption_resolution,[],[f11606,f14]) ).
fof(f11621,plain,
( spl16_196
| spl16_237 ),
inference(avatar_split_clause,[],[f11612,f11592,f8567]) ).
fof(f11626,plain,
( spl16_196
| spl16_56
| spl16_237 ),
inference(avatar_split_clause,[],[f11620,f11592,f874,f8567]) ).
fof(f11639,plain,
( big_f(sK2,sK1)
| sK1 = sK2
| sK1 = sK11(sK2)
| ~ spl16_7
| ~ spl16_196 ),
inference(superposition,[],[f1747,f8569]) ).
fof(f11642,plain,
( ! [X0] :
( ~ big_f(X0,sK1)
| sK1 = sK2
| sK11(sK2) = X0 )
| ~ spl16_6
| ~ spl16_196 ),
inference(superposition,[],[f67,f8569]) ).
fof(f11643,plain,
( big_f(sK11(sK2),sK1)
| sK1 = sK2
| ~ spl16_7
| ~ spl16_196 ),
inference(superposition,[],[f71,f8569]) ).
fof(f11646,plain,
( big_f(sK11(sK2),sK1)
| ~ spl16_7
| ~ spl16_196 ),
inference(forward_subsumption_resolution,[],[f11643,f15]) ).
fof(f11647,plain,
( ! [X0] :
( ~ big_f(X0,sK1)
| sK11(sK2) = X0 )
| ~ spl16_6
| ~ spl16_196 ),
inference(forward_subsumption_resolution,[],[f11642,f15]) ).
fof(f11648,plain,
( sK1 = sK2
| sK1 = sK11(sK2)
| ~ spl16_7
| spl16_41
| ~ spl16_196 ),
inference(forward_subsumption_resolution,[],[f11639,f567]) ).
fof(f11652,plain,
( sK1 = sK11(sK2)
| ~ spl16_7
| spl16_41
| ~ spl16_196 ),
inference(forward_subsumption_resolution,[],[f11648,f15]) ).
fof(f11663,plain,
( big_f(sK1,sK9(sK2))
| sK2 = sK9(sK2)
| ~ spl16_7
| spl16_41
| ~ spl16_196 ),
inference(superposition,[],[f71,f11652]) ).
fof(f11675,plain,
( big_f(sK1,sK1)
| sK2 = sK9(sK2)
| ~ spl16_7
| spl16_41
| ~ spl16_196 ),
inference(forward_demodulation,[],[f11663,f8569]) ).
fof(f11678,plain,
( sK2 = sK9(sK2)
| ~ spl16_7
| spl16_39
| spl16_41
| ~ spl16_196 ),
inference(forward_subsumption_resolution,[],[f11675,f558]) ).
fof(f11679,plain,
( sK1 = sK2
| ~ spl16_7
| spl16_39
| spl16_41
| ~ spl16_196 ),
inference(forward_demodulation,[],[f11678,f8569]) ).
fof(f11680,plain,
( $false
| ~ spl16_7
| spl16_39
| spl16_41
| ~ spl16_196 ),
inference(forward_subsumption_resolution,[],[f11679,f15]) ).
fof(f11681,plain,
( ~ spl16_7
| spl16_39
| spl16_41
| ~ spl16_196 ),
inference(avatar_contradiction_clause,[],[f11680]) ).
fof(f11683,plain,
( ! [X0] :
( sK9(X0) = X0
| sK1 = X0 )
| ~ spl16_237 ),
inference(superposition,[],[f11593,f14]) ).
fof(f11744,plain,
( ! [X0,X1] :
( sK1 = X0
| sK1 = X0
| sK9(X0) = X1
| sK1 = X1 )
| ~ spl16_237 ),
inference(superposition,[],[f11683,f118]) ).
fof(f11753,plain,
( ! [X0,X1] :
( sK9(X0) = X1
| sK1 = X0
| sK1 = X1 )
| ~ spl16_237 ),
inference(duplicate_literal_removal,[],[f11744]) ).
fof(f11924,plain,
( ! [X0] :
( sK1 != X0
| ~ big_f(sK1,sK9(sK2))
| sK2 != sK9(sK2)
| sK2 = X0 )
| ~ spl16_9
| spl16_24
| ~ spl16_157 ),
inference(superposition,[],[f79,f11343]) ).
fof(f11927,plain,
( ! [X0] :
( sK1 != X0
| ~ big_f(sK1,sK9(sK2))
| sK2 = X0 )
| ~ spl16_9
| spl16_24
| ~ spl16_157
| ~ spl16_237 ),
inference(forward_subsumption_resolution,[],[f11924,f11593]) ).
fof(f11931,plain,
( ! [X0] :
( ~ big_f(sK1,sK9(sK2))
| sK2 = X0 )
| ~ spl16_9
| spl16_24
| ~ spl16_157
| ~ spl16_237 ),
inference(forward_subsumption_resolution,[],[f11927,f14]) ).
fof(f11932,plain,
( ! [X0] :
( ~ big_f(sK1,sK2)
| sK2 = X0 )
| ~ spl16_9
| spl16_24
| ~ spl16_157
| ~ spl16_237 ),
inference(forward_demodulation,[],[f11931,f11593]) ).
fof(f13115,plain,
( sK1 != sK6
| ~ spl16_83 ),
inference(superposition,[],[f15,f1861]) ).
fof(f13812,plain,
( $false
| ~ spl16_47
| ~ spl16_79
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f2402,f8495]) ).
fof(f13813,plain,
( ~ spl16_47
| ~ spl16_79
| spl16_182 ),
inference(avatar_contradiction_clause,[],[f13812]) ).
fof(f13845,plain,
( spl16_79
| ~ spl16_13
| ~ spl16_76 ),
inference(avatar_split_clause,[],[f1712,f1681,f94,f1693]) ).
fof(f13872,plain,
( ! [X2,X0,X1] :
( ~ big_f(X0,sK2)
| sK2 != X2
| sK1 = sK4(X1,X2)
| sK1 = X0
| sK1 = X1 )
| ~ spl16_17
| ~ spl16_62 ),
inference(forward_subsumption_resolution,[],[f10568,f118]) ).
fof(f13943,definition,
( spl16_250
<=> ! [X2,X1] :
( sK2 != X2
| sK1 = X1
| sK1 = sK4(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl16_250])],[avatar_definition]) ).
fof(f13944,plain,
( ! [X2,X1] :
( sK2 != X2
| sK1 = X1
| sK1 = sK4(X1,X2) )
| ~ spl16_250 ),
inference(avatar_component_clause,[],[f13943]) ).
fof(f13945,plain,
( spl16_250
| spl16_70
| ~ spl16_17
| ~ spl16_62 ),
inference(avatar_split_clause,[],[f13872,f1538,f111,f1580,f13943]) ).
fof(f13981,definition,
( spl16_251
<=> ! [X0] :
( sK2 = X0
| sK1 = sK14(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_251])],[avatar_definition]) ).
fof(f13982,plain,
( ! [X0] :
( sK1 = sK14(sK2,X0)
| sK2 = X0 )
| ~ spl16_251 ),
inference(avatar_component_clause,[],[f13981]) ).
fof(f13984,definition,
( spl16_252
<=> sK1 = sK8(sK2,sK2) ),
introduced(definition,[new_symbols(definition,[spl16_252])],[avatar_definition]) ).
fof(f13985,plain,
( sK1 != sK8(sK2,sK2)
| spl16_252 ),
inference(avatar_component_clause,[],[f13984]) ).
fof(f13986,plain,
( sK1 = sK8(sK2,sK2)
| ~ spl16_252 ),
inference(avatar_component_clause,[],[f13984]) ).
fof(f13993,plain,
( big_f(sK1,sK2)
| ~ spl16_35
| ~ spl16_74 ),
inference(forward_demodulation,[],[f1660,f536]) ).
fof(f14011,plain,
( $false
| spl16_26
| ~ spl16_35
| ~ spl16_74 ),
inference(forward_subsumption_resolution,[],[f13993,f307]) ).
fof(f14012,plain,
( spl16_26
| ~ spl16_35
| ~ spl16_74 ),
inference(avatar_contradiction_clause,[],[f14011]) ).
fof(f14094,plain,
( ! [X0] :
( sK1 != X0
| ~ big_f(sK1,sK2)
| sK2 = sK12
| sK2 = X0 )
| ~ spl16_3
| ~ spl16_251 ),
inference(superposition,[],[f54,f13982]) ).
fof(f14293,plain,
( ! [X0] :
( big_f(sK2,sK2)
| sK2 = X0
| sK1 = sK4(sK2,X0) )
| ~ spl16_58 ),
inference(superposition,[],[f1245,f14]) ).
fof(f14301,plain,
( ! [X0] :
( sK1 = sK4(sK2,X0)
| sK2 = X0 )
| spl16_24
| ~ spl16_58 ),
inference(forward_subsumption_resolution,[],[f14293,f299]) ).
fof(f14314,plain,
( sK2 = sK3(sK2)
| ~ spl16_15
| spl16_26
| spl16_39
| ~ spl16_57 ),
inference(forward_subsumption_resolution,[],[f1283,f558]) ).
fof(f14326,plain,
( sK1 = sK2
| ~ spl16_15
| spl16_26
| spl16_39
| ~ spl16_57 ),
inference(forward_demodulation,[],[f14314,f1242]) ).
fof(f14327,plain,
( $false
| ~ spl16_15
| spl16_26
| spl16_39
| ~ spl16_57 ),
inference(forward_subsumption_resolution,[],[f14326,f15]) ).
fof(f14328,plain,
( ~ spl16_15
| spl16_26
| spl16_39
| ~ spl16_57 ),
inference(avatar_contradiction_clause,[],[f14327]) ).
fof(f14567,definition,
( spl16_258
<=> sK1 = sK4(sK2,sK2) ),
introduced(definition,[new_symbols(definition,[spl16_258])],[avatar_definition]) ).
fof(f14568,plain,
( sK1 != sK4(sK2,sK2)
| spl16_258 ),
inference(avatar_component_clause,[],[f14567]) ).
fof(f14569,plain,
( sK1 = sK4(sK2,sK2)
| ~ spl16_258 ),
inference(avatar_component_clause,[],[f14567]) ).
fof(f14754,definition,
( spl16_262
<=> big_f(sK9(sK6),sK2) ),
introduced(definition,[new_symbols(definition,[spl16_262])],[avatar_definition]) ).
fof(f14755,plain,
( ~ big_f(sK9(sK6),sK2)
| spl16_262 ),
inference(avatar_component_clause,[],[f14754]) ).
fof(f14756,plain,
( big_f(sK9(sK6),sK2)
| ~ spl16_262 ),
inference(avatar_component_clause,[],[f14754]) ).
fof(f14763,definition,
( spl16_264
<=> big_f(sK2,sK9(sK6)) ),
introduced(definition,[new_symbols(definition,[spl16_264])],[avatar_definition]) ).
fof(f14764,plain,
( ~ big_f(sK2,sK9(sK6))
| spl16_264 ),
inference(avatar_component_clause,[],[f14763]) ).
fof(f14765,plain,
( big_f(sK2,sK9(sK6))
| ~ spl16_264 ),
inference(avatar_component_clause,[],[f14763]) ).
fof(f14874,plain,
( spl16_182
| spl16_83
| ~ spl16_102 ),
inference(avatar_split_clause,[],[f3536,f3147,f1859,f8494]) ).
fof(f15120,plain,
( big_f(sK2,sK1)
| sK1 = sK2
| ~ spl16_58
| ~ spl16_258 ),
inference(superposition,[],[f1245,f14569]) ).
fof(f15124,plain,
( sK1 = sK2
| spl16_41
| ~ spl16_58
| ~ spl16_258 ),
inference(forward_subsumption_resolution,[],[f15120,f567]) ).
fof(f15129,plain,
( $false
| spl16_41
| ~ spl16_58
| ~ spl16_258 ),
inference(forward_subsumption_resolution,[],[f15124,f15]) ).
fof(f15130,plain,
( spl16_41
| ~ spl16_58
| ~ spl16_258 ),
inference(avatar_contradiction_clause,[],[f15129]) ).
fof(f15208,plain,
( ! [X0,X1] :
( sK6 = X0
| X0 = X1
| sK6 = X1 )
| ~ spl16_182 ),
inference(superposition,[],[f118,f8496]) ).
fof(f15260,plain,
( ! [X0] :
( sK1 != X0
| ~ big_f(sK3(sK2),sK1)
| sK2 != sK3(sK2)
| sK2 = X0 )
| ~ spl16_17
| spl16_24
| ~ spl16_58 ),
inference(superposition,[],[f112,f14301]) ).
fof(f15692,plain,
( sK2 != sK2
| sK1 = sK5(sK1)
| spl16_239 ),
inference(superposition,[],[f11616,f14]) ).
fof(f15698,plain,
( sK1 = sK5(sK1)
| spl16_239 ),
inference(trivial_inequality_removal,[],[f15692]) ).
fof(f15890,plain,
( ! [X0] :
( sK1 = sK4(X0,sK2)
| sK1 = X0 )
| ~ spl16_250 ),
inference(equality_resolution,[],[f13944]) ).
fof(f16055,plain,
( ! [X0] :
( sK1 = sK6
| sK2 = X0
| sK1 = sK8(sK5(sK1),X0) )
| ~ spl16_10
| ~ spl16_35
| spl16_74 ),
inference(forward_demodulation,[],[f5508,f536]) ).
fof(f16433,plain,
( ! [X0] :
( big_f(sK10(sK6,X0),sK6)
| sK10(sK6,X0) = X0 )
| ~ spl16_8
| ~ spl16_150 ),
inference(trivial_inequality_removal,[],[f7317]) ).
fof(f16448,plain,
( ! [X0] :
( big_f(sK2,sK6)
| sK2 = X0
| sK1 = sK10(sK6,X0) )
| ~ spl16_8
| ~ spl16_150 ),
inference(superposition,[],[f16433,f14]) ).
fof(f16451,plain,
( ! [X0,X1] :
( big_f(sK1,sK6)
| sK1 = X0
| sK10(sK6,X0) = X1
| sK1 = X1 )
| ~ spl16_8
| ~ spl16_150 ),
inference(superposition,[],[f16433,f118]) ).
fof(f16598,plain,
( ! [X0] :
( sK6 != X0
| ~ big_f(sK2,sK6)
| sK2 = sK6
| sK2 = X0 )
| ~ spl16_11
| ~ spl16_162 ),
inference(superposition,[],[f87,f8380]) ).
fof(f16813,definition,
( spl16_277
<=> sK6 = sK8(sK2,sK2) ),
introduced(definition,[new_symbols(definition,[spl16_277])],[avatar_definition]) ).
fof(f16814,plain,
( sK6 = sK8(sK2,sK2)
| ~ spl16_277 ),
inference(avatar_component_clause,[],[f16813]) ).
fof(f16913,definition,
( spl16_283
<=> sK2 = sK8(sK2,sK2) ),
introduced(definition,[new_symbols(definition,[spl16_283])],[avatar_definition]) ).
fof(f16914,plain,
( sK2 != sK8(sK2,sK2)
| spl16_283 ),
inference(avatar_component_clause,[],[f16913]) ).
fof(f16915,plain,
( sK2 = sK8(sK2,sK2)
| ~ spl16_283 ),
inference(avatar_component_clause,[],[f16913]) ).
fof(f16975,plain,
( ! [X2,X0,X1] :
( X0 != X1
| ~ big_f(sK2,X0)
| sK2 != X2
| sK1 = sK10(X1,X2)
| sK1 = X1
| sK1 = X0 )
| ~ spl16_9
| ~ spl16_237 ),
inference(superposition,[],[f1741,f11753]) ).
fof(f17122,plain,
( ! [X2,X0,X1] :
( ~ big_f(sK2,X0)
| sK2 != X2
| sK1 = sK10(X1,X2)
| sK1 = X1
| sK1 = X0 )
| ~ spl16_9
| ~ spl16_237 ),
inference(forward_subsumption_resolution,[],[f16975,f118]) ).
fof(f17162,plain,
( ! [X2,X0,X1] :
( sK6 = sK10(X1,X2)
| ~ big_f(sK2,X0)
| sK2 != X2
| sK1 = X1
| sK1 = X0 )
| ~ spl16_9
| ~ spl16_182
| ~ spl16_237 ),
inference(forward_demodulation,[],[f17122,f8496]) ).
fof(f17187,plain,
( ! [X2,X0,X1] :
( sK6 = X1
| sK6 = sK10(X1,X2)
| ~ big_f(sK2,X0)
| sK2 != X2
| sK1 = X0 )
| ~ spl16_9
| ~ spl16_182
| ~ spl16_237 ),
inference(forward_demodulation,[],[f17162,f8496]) ).
fof(f17203,plain,
( ! [X2,X0,X1] :
( sK6 = X0
| sK6 = X1
| sK6 = sK10(X1,X2)
| ~ big_f(sK2,X0)
| sK2 != X2 )
| ~ spl16_9
| ~ spl16_182
| ~ spl16_237 ),
inference(forward_demodulation,[],[f17187,f8496]) ).
fof(f17272,definition,
( spl16_284
<=> big_f(sK2,sK6) ),
introduced(definition,[new_symbols(definition,[spl16_284])],[avatar_definition]) ).
fof(f17273,plain,
( big_f(sK2,sK6)
| ~ spl16_284 ),
inference(avatar_component_clause,[],[f17272]) ).
fof(f17274,plain,
( ~ big_f(sK2,sK6)
| spl16_284 ),
inference(avatar_component_clause,[],[f17272]) ).
fof(f17291,definition,
( spl16_285
<=> ! [X0] :
( sK2 = X0
| sK6 = sK10(sK6,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_285])],[avatar_definition]) ).
fof(f17292,plain,
( ! [X0] :
( sK6 = sK10(sK6,X0)
| sK2 = X0 )
| ~ spl16_285 ),
inference(avatar_component_clause,[],[f17291]) ).
fof(f17519,plain,
( ! [X0] :
( sK6 != X0
| ~ big_f(sK6,sK9(sK6))
| sK6 != sK9(sK6)
| sK2 = X0 )
| ~ spl16_9
| ~ spl16_285 ),
inference(superposition,[],[f79,f17292]) ).
fof(f17657,plain,
( sK6 = sK14(sK2,sK6)
| ~ spl16_182
| ~ spl16_198 ),
inference(forward_demodulation,[],[f8586,f8496]) ).
fof(f17712,definition,
( spl16_295
<=> ! [X2,X1] :
( sK6 = X1
| sK2 != X2
| sK6 = sK10(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl16_295])],[avatar_definition]) ).
fof(f17713,plain,
( ! [X2,X1] :
( sK2 != X2
| sK6 = X1
| sK6 = sK10(X1,X2) )
| ~ spl16_295 ),
inference(avatar_component_clause,[],[f17712]) ).
fof(f17715,definition,
( spl16_296
<=> ! [X0] :
( sK6 = X0
| ~ big_f(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_296])],[avatar_definition]) ).
fof(f17716,plain,
( ! [X0] :
( ~ big_f(sK2,X0)
| sK6 = X0 )
| ~ spl16_296 ),
inference(avatar_component_clause,[],[f17715]) ).
fof(f17717,plain,
( spl16_295
| spl16_296
| ~ spl16_9
| ~ spl16_182
| ~ spl16_237 ),
inference(avatar_split_clause,[],[f17203,f11592,f8494,f78,f17715,f17712]) ).
fof(f17859,plain,
( sK6 != sK6
| ~ big_f(sK6,sK2)
| sK2 = sK12
| ~ spl16_3
| ~ spl16_182
| ~ spl16_198 ),
inference(superposition,[],[f54,f17657]) ).
fof(f17860,plain,
( ~ big_f(sK6,sK2)
| sK2 = sK12
| ~ spl16_3
| ~ spl16_182
| ~ spl16_198 ),
inference(trivial_inequality_removal,[],[f17859]) ).
fof(f17971,definition,
( spl16_300
<=> sK2 = sK14(sK6,sK6) ),
introduced(definition,[new_symbols(definition,[spl16_300])],[avatar_definition]) ).
fof(f17972,plain,
( sK2 != sK14(sK6,sK6)
| spl16_300 ),
inference(avatar_component_clause,[],[f17971]) ).
fof(f17973,plain,
( sK2 = sK14(sK6,sK6)
| ~ spl16_300 ),
inference(avatar_component_clause,[],[f17971]) ).
fof(f18409,plain,
( ~ big_f(sK1,sK6)
| sK6 = sK12
| ~ spl16_3
| ~ spl16_134
| ~ spl16_182 ),
inference(forward_subsumption_resolution,[],[f5857,f8496]) ).
fof(f18433,plain,
( ~ big_f(sK6,sK6)
| sK6 = sK12
| ~ spl16_3
| ~ spl16_134
| ~ spl16_182 ),
inference(forward_demodulation,[],[f18409,f8496]) ).
fof(f18444,plain,
( sK6 = sK12
| ~ spl16_3
| ~ spl16_79
| ~ spl16_134
| ~ spl16_182 ),
inference(forward_subsumption_resolution,[],[f18433,f10464]) ).
fof(f18630,plain,
( sK2 != sK2
| sK1 = sK3(sK2)
| spl16_108 ),
inference(superposition,[],[f3413,f14]) ).
fof(f18637,plain,
( sK1 = sK3(sK2)
| spl16_108 ),
inference(trivial_inequality_removal,[],[f18630]) ).
fof(f18643,plain,
( $false
| spl16_57
| spl16_108 ),
inference(forward_subsumption_resolution,[],[f18637,f1241]) ).
fof(f18644,plain,
( spl16_57
| spl16_108 ),
inference(avatar_contradiction_clause,[],[f18643]) ).
fof(f18902,plain,
( ! [X0] :
( sK2 = sK6
| sK2 = sK6
| sK2 = X0
| sK1 = sK8(sK2,X0) )
| ~ spl16_10
| ~ spl16_296 ),
inference(resolution,[],[f17716,f1849]) ).
fof(f18909,plain,
( ! [X0] :
( sK2 = sK6
| sK2 = X0
| sK1 = sK8(sK2,X0) )
| ~ spl16_10
| ~ spl16_296 ),
inference(duplicate_literal_removal,[],[f18902]) ).
fof(f18913,plain,
( ! [X0] :
( sK2 = X0
| sK1 = sK8(sK2,X0) )
| ~ spl16_10
| spl16_83
| ~ spl16_296 ),
inference(forward_subsumption_resolution,[],[f18909,f1860]) ).
fof(f18918,plain,
( ! [X0] :
( sK6 = sK8(sK2,X0)
| sK2 = X0 )
| ~ spl16_10
| spl16_83
| ~ spl16_182
| ~ spl16_296 ),
inference(forward_demodulation,[],[f18913,f8496]) ).
fof(f18921,plain,
( spl16_162
| ~ spl16_10
| spl16_83
| ~ spl16_182
| ~ spl16_296 ),
inference(avatar_split_clause,[],[f18918,f17715,f8494,f1859,f82,f8379]) ).
fof(f18953,plain,
( ! [X0] :
( ~ big_f(sK2,sK6)
| sK2 = sK6
| sK2 = X0 )
| ~ spl16_11
| ~ spl16_162
| ~ spl16_182 ),
inference(forward_subsumption_resolution,[],[f16598,f15208]) ).
fof(f19019,plain,
( ! [X0] :
( sK2 = X0
| sK1 = sK10(sK6,X0) )
| ~ spl16_8
| ~ spl16_150
| spl16_284 ),
inference(forward_subsumption_resolution,[],[f16448,f17274]) ).
fof(f19037,plain,
( ! [X0] :
( ~ big_f(sK6,sK1)
| sK6 != X0
| sK6 != sK9(sK6)
| sK2 = X0 )
| ~ spl16_9
| ~ spl16_149
| ~ spl16_285 ),
inference(forward_demodulation,[],[f17519,f7264]) ).
fof(f19052,plain,
( ! [X0] :
( sK6 = sK10(sK6,X0)
| sK2 = X0 )
| ~ spl16_8
| ~ spl16_150
| ~ spl16_182
| spl16_284 ),
inference(forward_demodulation,[],[f19019,f8496]) ).
fof(f19060,plain,
( ! [X0] :
( sK6 != X0
| sK6 != sK9(sK6)
| sK2 = X0 )
| ~ spl16_9
| ~ spl16_79
| ~ spl16_149
| ~ spl16_285 ),
inference(forward_subsumption_resolution,[],[f19037,f1695]) ).
fof(f19072,plain,
( ! [X0] :
( sK1 != sK6
| sK6 != X0
| sK2 = X0 )
| ~ spl16_9
| ~ spl16_79
| ~ spl16_149
| ~ spl16_285 ),
inference(forward_demodulation,[],[f19060,f7264]) ).
fof(f19079,plain,
( ! [X0] :
( sK6 != X0
| sK2 = X0 )
| ~ spl16_9
| ~ spl16_79
| ~ spl16_149
| ~ spl16_182
| ~ spl16_285 ),
inference(forward_subsumption_resolution,[],[f19072,f8496]) ).
fof(f19134,plain,
( sK2 = sK12
| ~ spl16_3
| ~ spl16_81
| ~ spl16_182
| ~ spl16_198 ),
inference(forward_subsumption_resolution,[],[f17860,f1706]) ).
fof(f19143,plain,
( sK1 = sK2
| ~ spl16_3
| ~ spl16_20
| ~ spl16_81
| ~ spl16_182
| ~ spl16_198 ),
inference(forward_demodulation,[],[f19134,f144]) ).
fof(f19144,plain,
( $false
| ~ spl16_3
| ~ spl16_20
| ~ spl16_81
| ~ spl16_182
| ~ spl16_198 ),
inference(forward_subsumption_resolution,[],[f19143,f15]) ).
fof(f19145,plain,
( ~ spl16_3
| ~ spl16_20
| ~ spl16_81
| ~ spl16_182
| ~ spl16_198 ),
inference(avatar_contradiction_clause,[],[f19144]) ).
fof(f19250,plain,
( big_f(sK6,sK6)
| ~ spl16_39
| ~ spl16_182 ),
inference(forward_demodulation,[],[f559,f8496]) ).
fof(f19268,plain,
( big_f(sF15,sK6)
| ~ spl16_50
| ~ spl16_182 ),
inference(forward_demodulation,[],[f640,f8496]) ).
fof(f19325,plain,
( ! [X0] :
( ~ big_f(sK1,sK1)
| sK1 = sK6
| sK2 = X0 )
| ~ spl16_11
| ~ spl16_194 ),
inference(forward_subsumption_resolution,[],[f8804,f14]) ).
fof(f19533,plain,
( ! [X0] :
( sK1 != sK1
| big_f(sK1,sK4(sK1,X0))
| sK4(sK1,X0) = X0 )
| ~ spl16_16
| ~ spl16_28 ),
inference(superposition,[],[f108,f505]) ).
fof(f19570,plain,
( big_f(sK2,sK6)
| sK6 = sK12
| sK2 = sK6
| ~ spl16_2
| ~ spl16_300 ),
inference(superposition,[],[f50,f17973]) ).
fof(f21603,plain,
( ! [X0] :
( ~ big_f(sK3(sK2),sK1)
| sK2 != sK3(sK2)
| sK2 = X0 )
| ~ spl16_17
| spl16_24
| ~ spl16_58 ),
inference(forward_subsumption_resolution,[],[f15260,f14]) ).
fof(f21701,plain,
( ! [X0] :
( ~ big_f(sK3(sK2),sK1)
| sK2 = X0 )
| ~ spl16_17
| spl16_24
| ~ spl16_58
| ~ spl16_108 ),
inference(forward_subsumption_resolution,[],[f21603,f3414]) ).
fof(f21973,plain,
( ! [X0] :
( sK2 != sK2
| big_f(sK2,sK4(sK2,X0))
| sK4(sK2,X0) = X0 )
| ~ spl16_16
| ~ spl16_108 ),
inference(superposition,[],[f108,f3414]) ).
fof(f22221,plain,
( ! [X0] :
( sK1 != X0
| ~ big_f(sK1,sK9(sK2))
| sK2 = X0 )
| ~ spl16_9
| spl16_24
| ~ spl16_157
| ~ spl16_237 ),
inference(forward_subsumption_resolution,[],[f11924,f11593]) ).
fof(f22222,plain,
( ! [X9] :
( ~ big_f(sK6,X9)
| sK1 = X9 )
| ~ spl16_12
| ~ spl16_76 ),
inference(forward_demodulation,[],[f91,f1683]) ).
fof(f22226,plain,
( big_f(sK2,sK6)
| ~ spl16_41
| ~ spl16_182 ),
inference(forward_demodulation,[],[f568,f8496]) ).
fof(f22283,plain,
( ! [X0] :
( ~ big_f(sK1,sK9(sK2))
| sK2 = X0 )
| ~ spl16_9
| spl16_24
| ~ spl16_157
| ~ spl16_237 ),
inference(forward_subsumption_resolution,[],[f22221,f14]) ).
fof(f22284,plain,
( ! [X9] :
( ~ big_f(sK6,X9)
| sK6 = X9 )
| ~ spl16_12
| ~ spl16_76
| ~ spl16_182 ),
inference(forward_demodulation,[],[f22222,f8496]) ).
fof(f22328,plain,
( ! [X0] :
( ~ big_f(sK1,sK2)
| sK2 = X0 )
| ~ spl16_9
| spl16_24
| ~ spl16_157
| ~ spl16_237 ),
inference(forward_demodulation,[],[f22283,f11593]) ).
fof(f22907,plain,
( big_f(sK2,sK6)
| sK2 = sK6
| sK2 = sK6
| ~ spl16_10
| ~ spl16_277 ),
inference(superposition,[],[f83,f16814]) ).
fof(f23585,plain,
( sK2 != sK2
| sK1 = sK8(sK2,sK2)
| spl16_283 ),
inference(superposition,[],[f16914,f14]) ).
fof(f23594,plain,
( sK1 = sK8(sK2,sK2)
| spl16_283 ),
inference(trivial_inequality_removal,[],[f23585]) ).
fof(f23967,plain,
( ~ spl16_109
| spl16_35
| ~ spl16_182 ),
inference(avatar_split_clause,[],[f10458,f8494,f534,f3750]) ).
fof(f24071,plain,
( sK6 = sK4(sK6,sK6)
| ~ spl16_182
| ~ spl16_199 ),
inference(forward_demodulation,[],[f8662,f8496]) ).
fof(f24072,plain,
( big_f(sK2,sK4(sK6,sK6))
| ~ spl16_182
| ~ spl16_233 ),
inference(forward_demodulation,[],[f11535,f8496]) ).
fof(f24134,plain,
( sK6 = sK7(sK6)
| ~ spl16_12
| ~ spl16_79
| ~ spl16_182 ),
inference(forward_demodulation,[],[f2400,f8496]) ).
fof(f24227,plain,
( $false
| spl16_105
| ~ spl16_182
| ~ spl16_199 ),
inference(forward_subsumption_resolution,[],[f24071,f3225]) ).
fof(f24228,plain,
( spl16_105
| ~ spl16_182
| ~ spl16_199 ),
inference(avatar_contradiction_clause,[],[f24227]) ).
fof(f24229,plain,
( $false
| ~ spl16_182
| spl16_227
| ~ spl16_233 ),
inference(forward_subsumption_resolution,[],[f24072,f11110]) ).
fof(f24230,plain,
( ~ spl16_182
| spl16_227
| ~ spl16_233 ),
inference(avatar_contradiction_clause,[],[f24229]) ).
fof(f24418,plain,
( ! [X0] :
( ~ big_f(X0,sK6)
| sK11(sK2) = X0 )
| ~ spl16_6
| ~ spl16_182
| ~ spl16_196 ),
inference(forward_demodulation,[],[f11647,f8496]) ).
fof(f24580,plain,
( ~ big_f(sK2,sK6)
| spl16_41
| ~ spl16_182 ),
inference(forward_demodulation,[],[f567,f8496]) ).
fof(f24708,plain,
( sK1 = sK2
| ~ spl16_14
| ~ spl16_39
| ~ spl16_57
| ~ spl16_107 ),
inference(forward_demodulation,[],[f1304,f3410]) ).
fof(f24709,plain,
( sK2 = sK12
| ~ spl16_5
| ~ spl16_14
| ~ spl16_18
| ~ spl16_57
| ~ spl16_107 ),
inference(forward_demodulation,[],[f1305,f3410]) ).
fof(f24849,plain,
( $false
| ~ spl16_14
| ~ spl16_39
| ~ spl16_57
| ~ spl16_107 ),
inference(forward_subsumption_resolution,[],[f24708,f15]) ).
fof(f24850,plain,
( ~ spl16_14
| ~ spl16_39
| ~ spl16_57
| ~ spl16_107 ),
inference(avatar_contradiction_clause,[],[f24849]) ).
fof(f24851,plain,
( sK1 = sK2
| ~ spl16_5
| ~ spl16_14
| ~ spl16_18
| ~ spl16_20
| ~ spl16_57
| ~ spl16_107 ),
inference(forward_demodulation,[],[f24709,f144]) ).
fof(f24899,plain,
( $false
| ~ spl16_5
| ~ spl16_14
| ~ spl16_18
| ~ spl16_20
| ~ spl16_57
| ~ spl16_107 ),
inference(forward_subsumption_resolution,[],[f24851,f15]) ).
fof(f24900,plain,
( ~ spl16_5
| ~ spl16_14
| ~ spl16_18
| ~ spl16_20
| ~ spl16_57
| ~ spl16_107 ),
inference(avatar_contradiction_clause,[],[f24899]) ).
fof(f24943,plain,
( sK6 = sK12
| sK2 = sK6
| ~ spl16_2
| spl16_284
| ~ spl16_300 ),
inference(forward_subsumption_resolution,[],[f19570,f17274]) ).
fof(f25150,plain,
( big_f(sK11(sK2),sK6)
| sK2 = sK6
| ~ spl16_7
| ~ spl16_158 ),
inference(superposition,[],[f71,f8216]) ).
fof(f25253,plain,
( spl16_284
| ~ spl16_41
| ~ spl16_182 ),
inference(avatar_split_clause,[],[f22226,f8494,f566,f17272]) ).
fof(f25267,plain,
( $false
| ~ spl16_184 ),
inference(forward_subsumption_resolution,[],[f10822,f10815]) ).
fof(f25268,plain,
~ spl16_184,
inference(avatar_contradiction_clause,[],[f25267]) ).
fof(f25973,plain,
( big_f(sK2,sK6)
| sK1 = sK5(sK6)
| ~ spl16_91 ),
inference(superposition,[],[f2738,f14]) ).
fof(f25985,plain,
( sK6 = sK9(sK6)
| sK2 = sK11(sK6)
| ~ spl16_6
| ~ spl16_264 ),
inference(resolution,[],[f14765,f67]) ).
fof(f26087,plain,
( sK2 = sK7(sK6)
| ~ spl16_12
| ~ spl16_81 ),
inference(resolution,[],[f1706,f91]) ).
fof(f26101,plain,
( sK2 = sK6
| ~ spl16_12
| ~ spl16_79
| ~ spl16_81
| ~ spl16_182 ),
inference(forward_demodulation,[],[f26087,f24134]) ).
fof(f26107,plain,
( $false
| ~ spl16_12
| ~ spl16_79
| ~ spl16_81
| spl16_83
| ~ spl16_182 ),
inference(forward_subsumption_resolution,[],[f26101,f1860]) ).
fof(f26108,plain,
( ~ spl16_12
| ~ spl16_79
| ~ spl16_81
| spl16_83
| ~ spl16_182 ),
inference(avatar_contradiction_clause,[],[f26107]) ).
fof(f26113,plain,
( ~ big_f(sK6,sK6)
| sK6 = sK12
| ~ spl16_3
| ~ spl16_142 ),
inference(trivial_inequality_removal,[],[f6565]) ).
fof(f26125,plain,
( ! [X0] :
( big_f(sK2,sK4(sK2,X0))
| sK4(sK2,X0) = X0 )
| ~ spl16_16
| ~ spl16_108 ),
inference(trivial_inequality_removal,[],[f21973]) ).
fof(f26306,plain,
( ! [X0] :
( ~ big_f(X0,sK2)
| sK2 = X0 )
| ~ spl16_4
| ~ spl16_19
| ~ spl16_22 ),
inference(forward_demodulation,[],[f152,f917]) ).
fof(f26319,plain,
( ~ spl16_284
| spl16_41
| ~ spl16_182 ),
inference(avatar_split_clause,[],[f24580,f8494,f566,f17272]) ).
fof(f26320,plain,
( ! [X0] :
( sK6 = X0
| sK1 = X0 )
| ~ spl16_3
| ~ spl16_45
| ~ spl16_79
| ~ spl16_134
| ~ spl16_182 ),
inference(forward_demodulation,[],[f614,f18444]) ).
fof(f26500,plain,
( big_f(sK2,sK6)
| ~ spl16_4
| ~ spl16_19
| ~ spl16_50
| ~ spl16_182 ),
inference(forward_demodulation,[],[f19268,f917]) ).
fof(f26603,plain,
( ! [X0] :
( sK6 = X0
| sK6 = X0 )
| ~ spl16_3
| ~ spl16_45
| ~ spl16_79
| ~ spl16_134
| ~ spl16_182 ),
inference(forward_demodulation,[],[f26320,f8496]) ).
fof(f26604,plain,
( ! [X0] : sK6 = X0
| ~ spl16_3
| ~ spl16_45
| ~ spl16_79
| ~ spl16_134
| ~ spl16_182 ),
inference(duplicate_literal_removal,[],[f26603]) ).
fof(f26750,plain,
( spl16_96
| ~ spl16_3
| ~ spl16_45
| ~ spl16_79
| ~ spl16_134
| ~ spl16_182 ),
inference(avatar_split_clause,[],[f26604,f8494,f5842,f1693,f613,f53,f3071]) ).
fof(f26842,plain,
( big_f(sK2,sK6)
| sK2 = sK6
| ~ spl16_10
| ~ spl16_277 ),
inference(duplicate_literal_removal,[],[f22907]) ).
fof(f26934,plain,
( big_f(sK2,sK6)
| ~ spl16_10
| spl16_83
| ~ spl16_277 ),
inference(forward_subsumption_resolution,[],[f26842,f1860]) ).
fof(f26974,plain,
( sK2 = sK11(sK6)
| ~ spl16_6
| spl16_150
| ~ spl16_264 ),
inference(forward_subsumption_resolution,[],[f25985,f7279]) ).
fof(f26994,plain,
( ! [X0] :
( ~ big_f(sK2,X0)
| sK6 = sK14(X0,sK2)
| sK12 = X0 )
| ~ spl16_3
| ~ spl16_182 ),
inference(forward_demodulation,[],[f1365,f8496]) ).
fof(f27533,definition,
( spl16_320
<=> sK2 = sK9(sK6) ),
introduced(definition,[new_symbols(definition,[spl16_320])],[avatar_definition]) ).
fof(f27534,plain,
( sK2 != sK9(sK6)
| spl16_320 ),
inference(avatar_component_clause,[],[f27533]) ).
fof(f27535,plain,
( sK2 = sK9(sK6)
| ~ spl16_320 ),
inference(avatar_component_clause,[],[f27533]) ).
fof(f27549,plain,
( big_f(sK11(sK6),sK2)
| sK2 = sK6
| ~ spl16_7
| ~ spl16_320 ),
inference(superposition,[],[f71,f27535]) ).
fof(f27554,plain,
( big_f(sK11(sK6),sK2)
| ~ spl16_7
| spl16_83
| ~ spl16_320 ),
inference(forward_subsumption_resolution,[],[f27549,f1860]) ).
fof(f27904,plain,
( sK2 = sK6
| sK1 = sK8(sK2,sK2)
| ~ spl16_11
| ~ spl16_24 ),
inference(resolution,[],[f298,f7379]) ).
fof(f27916,plain,
( sK1 = sK8(sK2,sK2)
| ~ spl16_11
| ~ spl16_24
| spl16_83 ),
inference(forward_subsumption_resolution,[],[f27904,f1860]) ).
fof(f27924,plain,
( sK2 = sK6
| ~ spl16_4
| ~ spl16_19
| ~ spl16_22
| ~ spl16_81 ),
inference(resolution,[],[f26306,f1706]) ).
fof(f27941,plain,
( $false
| ~ spl16_4
| ~ spl16_19
| ~ spl16_22
| ~ spl16_81
| spl16_83 ),
inference(forward_subsumption_resolution,[],[f27924,f1860]) ).
fof(f27942,plain,
( ~ spl16_4
| ~ spl16_19
| ~ spl16_22
| ~ spl16_81
| spl16_83 ),
inference(avatar_contradiction_clause,[],[f27941]) ).
fof(f28003,plain,
( $false
| ~ spl16_83
| ~ spl16_182 ),
inference(forward_subsumption_resolution,[],[f13115,f8496]) ).
fof(f28004,plain,
( ~ spl16_83
| ~ spl16_182 ),
inference(avatar_contradiction_clause,[],[f28003]) ).
fof(f28267,plain,
( ! [X0] :
( big_f(sK6,sK4(sK6,X0))
| sK4(sK2,X0) = X0 )
| ~ spl16_16
| ~ spl16_83
| ~ spl16_108 ),
inference(forward_demodulation,[],[f26125,f1861]) ).
fof(f28481,plain,
( ! [X0] :
( sK4(sK6,X0) = X0
| big_f(sK6,sK4(sK6,X0)) )
| ~ spl16_16
| ~ spl16_83
| ~ spl16_108 ),
inference(forward_demodulation,[],[f28267,f1861]) ).
fof(f28703,plain,
( big_f(sK6,sK2)
| ~ spl16_26
| ~ spl16_182 ),
inference(forward_demodulation,[],[f306,f8496]) ).
fof(f28732,plain,
( ~ big_f(sK2,sK2)
| spl16_264
| ~ spl16_320 ),
inference(forward_demodulation,[],[f14764,f27535]) ).
fof(f28782,plain,
( spl16_58
| ~ spl16_16
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f26125,f3412,f107,f1244]) ).
fof(f28875,plain,
( $false
| ~ spl16_24
| spl16_264
| ~ spl16_320 ),
inference(forward_subsumption_resolution,[],[f28732,f298]) ).
fof(f28876,plain,
( ~ spl16_24
| spl16_264
| ~ spl16_320 ),
inference(avatar_contradiction_clause,[],[f28875]) ).
fof(f29028,plain,
( big_f(sK2,sK2)
| ~ spl16_264
| ~ spl16_320 ),
inference(forward_demodulation,[],[f14765,f27535]) ).
fof(f29064,plain,
( sK6 != sK12
| spl16_20
| ~ spl16_182 ),
inference(forward_demodulation,[],[f143,f8496]) ).
fof(f29070,definition,
( spl16_321
<=> sK12 = sF15 ),
introduced(definition,[new_symbols(definition,[spl16_321])],[avatar_definition]) ).
fof(f29071,plain,
( sK12 != sF15
| spl16_321 ),
inference(avatar_component_clause,[],[f29070]) ).
fof(f29072,plain,
( sK12 = sF15
| ~ spl16_321 ),
inference(avatar_component_clause,[],[f29070]) ).
fof(f29074,definition,
( spl16_322
<=> sK6 = sK12 ),
introduced(definition,[new_symbols(definition,[spl16_322])],[avatar_definition]) ).
fof(f29075,plain,
( sK6 != sK12
| spl16_322 ),
inference(avatar_component_clause,[],[f29074]) ).
fof(f29076,plain,
( sK6 = sK12
| ~ spl16_322 ),
inference(avatar_component_clause,[],[f29074]) ).
fof(f29091,definition,
( spl16_323
<=> sK2 = sK12 ),
introduced(definition,[new_symbols(definition,[spl16_323])],[avatar_definition]) ).
fof(f29092,plain,
( sK2 != sK12
| spl16_323 ),
inference(avatar_component_clause,[],[f29091]) ).
fof(f29093,plain,
( sK2 = sK12
| ~ spl16_323 ),
inference(avatar_component_clause,[],[f29091]) ).
fof(f29142,plain,
( ~ spl16_322
| spl16_20
| ~ spl16_182 ),
inference(avatar_split_clause,[],[f29064,f8494,f142,f29074]) ).
fof(f29149,definition,
( spl16_325
<=> ! [X0] :
( sK6 != X0
| sK2 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_325])],[avatar_definition]) ).
fof(f29150,plain,
( ! [X0] :
( sK6 != X0
| sK2 = X0 )
| ~ spl16_325 ),
inference(avatar_component_clause,[],[f29149]) ).
fof(f29375,plain,
( sK2 = sK6
| ~ spl16_2
| spl16_284
| ~ spl16_300
| spl16_322 ),
inference(forward_subsumption_resolution,[],[f24943,f29075]) ).
fof(f29408,plain,
( sK1 = sK5(sK6)
| ~ spl16_91
| spl16_284 ),
inference(forward_subsumption_resolution,[],[f25973,f17274]) ).
fof(f29438,plain,
( $false
| spl16_24
| ~ spl16_264
| ~ spl16_320 ),
inference(forward_subsumption_resolution,[],[f29028,f299]) ).
fof(f29439,plain,
( spl16_24
| ~ spl16_264
| ~ spl16_320 ),
inference(avatar_contradiction_clause,[],[f29438]) ).
fof(f29490,plain,
( $false
| ~ spl16_2
| spl16_83
| spl16_284
| ~ spl16_300
| spl16_322 ),
inference(forward_subsumption_resolution,[],[f29375,f1860]) ).
fof(f29491,plain,
( ~ spl16_2
| spl16_83
| spl16_284
| ~ spl16_300
| spl16_322 ),
inference(avatar_contradiction_clause,[],[f29490]) ).
fof(f29547,plain,
( ~ big_f(sK6,sK6)
| spl16_39
| ~ spl16_182 ),
inference(forward_demodulation,[],[f558,f8496]) ).
fof(f29556,plain,
( sK2 = sK5(sK2)
| ~ spl16_5
| ~ spl16_14
| ~ spl16_18
| ~ spl16_57
| ~ spl16_323 ),
inference(forward_demodulation,[],[f1305,f29093]) ).
fof(f29759,plain,
( ! [X0] :
( ~ big_f(sK2,sK2)
| sK2 != X0
| sK1 = sK4(sK2,X0) )
| ~ spl16_17
| ~ spl16_108 ),
inference(trivial_inequality_removal,[],[f9392]) ).
fof(f29766,plain,
( sK1 = sK2
| ~ spl16_20
| ~ spl16_323 ),
inference(forward_demodulation,[],[f144,f29093]) ).
fof(f29940,plain,
( sK6 = sK12
| ~ spl16_3
| ~ spl16_79
| ~ spl16_142
| ~ spl16_182 ),
inference(forward_subsumption_resolution,[],[f26113,f10464]) ).
fof(f29998,plain,
( $false
| ~ spl16_20
| ~ spl16_323 ),
inference(forward_subsumption_resolution,[],[f29766,f15]) ).
fof(f29999,plain,
( ~ spl16_20
| ~ spl16_323 ),
inference(avatar_contradiction_clause,[],[f29998]) ).
fof(f30072,plain,
( $false
| ~ spl16_3
| ~ spl16_79
| ~ spl16_142
| ~ spl16_182
| spl16_322 ),
inference(forward_subsumption_resolution,[],[f29940,f29075]) ).
fof(f30073,plain,
( ~ spl16_3
| ~ spl16_79
| ~ spl16_142
| ~ spl16_182
| spl16_322 ),
inference(avatar_contradiction_clause,[],[f30072]) ).
fof(f30153,plain,
( ! [X0] :
( sK2 != X0
| sK1 = sK4(sK2,X0) )
| ~ spl16_17
| ~ spl16_24
| ~ spl16_108 ),
inference(forward_subsumption_resolution,[],[f29759,f298]) ).
fof(f30520,plain,
( spl16_284
| ~ spl16_4
| ~ spl16_19
| ~ spl16_50
| ~ spl16_182 ),
inference(avatar_split_clause,[],[f26500,f8494,f638,f136,f57,f17272]) ).
fof(f30523,plain,
( ! [X0] :
( big_f(X0,sK6)
| sK1 = X0 )
| ~ spl16_5
| ~ spl16_38
| ~ spl16_322 ),
inference(forward_demodulation,[],[f695,f29076]) ).
fof(f30679,plain,
( ! [X0] : sK6 = X0
| ~ spl16_56
| ~ spl16_182 ),
inference(forward_demodulation,[],[f875,f8496]) ).
fof(f30761,plain,
( ~ big_f(sK6,sK6)
| spl16_79
| ~ spl16_182 ),
inference(forward_demodulation,[],[f1694,f8496]) ).
fof(f30902,plain,
( spl16_96
| ~ spl16_56
| ~ spl16_182 ),
inference(avatar_split_clause,[],[f30679,f8494,f874,f3071]) ).
fof(f31093,plain,
( big_f(sK6,sK6)
| ~ spl16_139
| ~ spl16_182 ),
inference(forward_demodulation,[],[f6387,f8496]) ).
fof(f31149,plain,
( $false
| spl16_39
| ~ spl16_139
| ~ spl16_182 ),
inference(forward_subsumption_resolution,[],[f31093,f29547]) ).
fof(f31150,plain,
( spl16_39
| ~ spl16_139
| ~ spl16_182 ),
inference(avatar_contradiction_clause,[],[f31149]) ).
fof(f31432,plain,
( ! [X0] :
( ~ big_f(sK2,X0)
| sK5(sK6) = X0 )
| ~ spl16_14
| ~ spl16_33
| ~ spl16_182 ),
inference(forward_demodulation,[],[f1422,f8496]) ).
fof(f32299,plain,
( big_f(sK2,sK2)
| sK1 = sK12
| ~ spl16_19 ),
inference(superposition,[],[f138,f14]) ).
fof(f32438,plain,
( ! [X0] :
( big_f(X0,sK2)
| sK1 = sF15
| sK1 = X0 )
| ~ spl16_23 ),
inference(superposition,[],[f157,f118]) ).
fof(f32443,plain,
( ! [X0] :
( big_f(sF15,X0)
| sK1 = X0 )
| ~ spl16_23 ),
inference(superposition,[],[f157,f14]) ).
fof(f32450,plain,
( ! [X0] :
( big_f(sK2,X0)
| sK1 = X0 )
| ~ spl16_4
| ~ spl16_19
| ~ spl16_23 ),
inference(forward_demodulation,[],[f32443,f917]) ).
fof(f32454,plain,
( ! [X0] :
( sK1 = sK2
| big_f(X0,sK2)
| sK1 = X0 )
| ~ spl16_4
| ~ spl16_19
| ~ spl16_23 ),
inference(forward_demodulation,[],[f32438,f917]) ).
fof(f32460,plain,
( ! [X0] :
( big_f(X0,sK2)
| sK1 = X0 )
| ~ spl16_4
| ~ spl16_19
| ~ spl16_23 ),
inference(forward_subsumption_resolution,[],[f32454,f15]) ).
fof(f33296,plain,
( sK6 = sK8(sK2,sK2)
| ~ spl16_11
| ~ spl16_24
| spl16_83
| ~ spl16_182 ),
inference(forward_demodulation,[],[f27916,f8496]) ).
fof(f33667,plain,
( ! [X0] :
( ~ big_f(X0,sK2)
| sK2 = sK6
| sK11(sK6) = X0 )
| ~ spl16_6
| ~ spl16_320 ),
inference(superposition,[],[f67,f27535]) ).
fof(f33686,plain,
( ! [X0] :
( ~ big_f(X0,sK2)
| sK11(sK6) = X0 )
| ~ spl16_6
| spl16_83
| ~ spl16_320 ),
inference(forward_subsumption_resolution,[],[f33667,f1860]) ).
fof(f33694,plain,
( ! [X0] :
( ~ big_f(X0,sK2)
| sK2 = X0 )
| ~ spl16_6
| spl16_83
| spl16_150
| ~ spl16_264
| ~ spl16_320 ),
inference(forward_demodulation,[],[f33686,f26974]) ).
fof(f33821,plain,
( sK2 = sK6
| ~ spl16_6
| ~ spl16_81
| spl16_83
| spl16_150
| ~ spl16_264
| ~ spl16_320 ),
inference(resolution,[],[f33694,f1706]) ).
fof(f33838,plain,
( $false
| ~ spl16_6
| ~ spl16_81
| spl16_83
| spl16_150
| ~ spl16_264
| ~ spl16_320 ),
inference(forward_subsumption_resolution,[],[f33821,f1860]) ).
fof(f33839,plain,
( ~ spl16_6
| ~ spl16_81
| spl16_83
| spl16_150
| ~ spl16_264
| ~ spl16_320 ),
inference(avatar_contradiction_clause,[],[f33838]) ).
fof(f33867,plain,
( sK2 = sK6
| ~ spl16_150
| ~ spl16_320 ),
inference(forward_demodulation,[],[f7278,f27535]) ).
fof(f33985,plain,
( $false
| spl16_83
| ~ spl16_150
| ~ spl16_320 ),
inference(forward_subsumption_resolution,[],[f33867,f1860]) ).
fof(f33986,plain,
( spl16_83
| ~ spl16_150
| ~ spl16_320 ),
inference(avatar_contradiction_clause,[],[f33985]) ).
fof(f34776,plain,
( sK2 != sK2
| sK1 = sK9(sK6)
| spl16_320 ),
inference(superposition,[],[f27534,f14]) ).
fof(f34777,plain,
( ! [X0] :
( sK2 != X0
| sK1 = X0
| sK1 = sK9(sK6) )
| spl16_320 ),
inference(superposition,[],[f27534,f118]) ).
fof(f34784,plain,
( sK1 = sK9(sK6)
| spl16_320 ),
inference(trivial_inequality_removal,[],[f34776]) ).
fof(f34786,plain,
( ! [X0] :
( sK1 = X0
| sK1 = sK9(sK6) )
| spl16_320 ),
inference(forward_subsumption_resolution,[],[f34777,f14]) ).
fof(f34789,plain,
( ! [X0] :
( sK6 = X0
| sK1 = sK9(sK6) )
| ~ spl16_182
| spl16_320 ),
inference(forward_demodulation,[],[f34786,f8496]) ).
fof(f34792,plain,
( ! [X0] :
( sK6 != X0
| sK1 = X0 )
| spl16_83 ),
inference(superposition,[],[f1860,f14]) ).
fof(f34912,plain,
( sK6 = sK5(sK6)
| ~ spl16_14
| ~ spl16_33
| ~ spl16_182
| ~ spl16_284 ),
inference(resolution,[],[f31432,f17273]) ).
fof(f34933,plain,
( $false
| ~ spl16_14
| ~ spl16_33
| spl16_109
| ~ spl16_182
| ~ spl16_284 ),
inference(forward_subsumption_resolution,[],[f34912,f3752]) ).
fof(f34934,plain,
( ~ spl16_14
| ~ spl16_33
| spl16_109
| ~ spl16_182
| ~ spl16_284 ),
inference(avatar_contradiction_clause,[],[f34933]) ).
fof(f35125,plain,
( spl16_277
| ~ spl16_11
| ~ spl16_24
| spl16_83
| ~ spl16_182 ),
inference(avatar_split_clause,[],[f33296,f8494,f1859,f297,f86,f16813]) ).
fof(f35276,plain,
( sK6 = sK9(sK6)
| ~ spl16_182
| spl16_320 ),
inference(forward_demodulation,[],[f34784,f8496]) ).
fof(f35278,plain,
( ! [X0] :
( sK6 = sK9(sK6)
| sK6 = X0 )
| ~ spl16_182
| spl16_320 ),
inference(forward_demodulation,[],[f34789,f8496]) ).
fof(f35286,plain,
( $false
| spl16_150
| ~ spl16_182
| spl16_320 ),
inference(forward_subsumption_resolution,[],[f35276,f7279]) ).
fof(f35287,plain,
( spl16_150
| ~ spl16_182
| spl16_320 ),
inference(avatar_contradiction_clause,[],[f35286]) ).
fof(f35289,plain,
( ! [X0] : sK6 = X0
| spl16_150
| ~ spl16_182
| spl16_320 ),
inference(forward_subsumption_resolution,[],[f35278,f7279]) ).
fof(f35292,plain,
( spl16_96
| spl16_150
| ~ spl16_182
| spl16_320 ),
inference(avatar_split_clause,[],[f35289,f27533,f8494,f7277,f3071]) ).
fof(f35480,plain,
( $false
| ~ spl16_39
| spl16_79
| ~ spl16_182 ),
inference(forward_subsumption_resolution,[],[f30761,f19250]) ).
fof(f35481,plain,
( ~ spl16_39
| spl16_79
| ~ spl16_182 ),
inference(avatar_contradiction_clause,[],[f35480]) ).
fof(f35641,plain,
( ! [X0] :
( ~ big_f(sK6,sK2)
| sK2 = X0 )
| ~ spl16_9
| spl16_24
| ~ spl16_157
| ~ spl16_182
| ~ spl16_237 ),
inference(forward_demodulation,[],[f22328,f8496]) ).
fof(f35816,plain,
( ! [X0] :
( ~ big_f(sK2,sK6)
| sK2 = X0 )
| ~ spl16_11
| spl16_83
| ~ spl16_162
| ~ spl16_182 ),
inference(forward_subsumption_resolution,[],[f18953,f1860]) ).
fof(f35891,plain,
( spl16_285
| ~ spl16_8
| ~ spl16_150
| ~ spl16_182
| spl16_284 ),
inference(avatar_split_clause,[],[f19052,f17272,f8494,f7277,f74,f17291]) ).
fof(f36018,plain,
( big_f(sK11(sK2),sK6)
| ~ spl16_7
| spl16_83
| ~ spl16_158 ),
inference(forward_subsumption_resolution,[],[f25150,f1860]) ).
fof(f36051,plain,
( sK1 = sK12
| ~ spl16_19
| spl16_24 ),
inference(forward_subsumption_resolution,[],[f32299,f299]) ).
fof(f36067,plain,
( ! [X0] : sK2 = X0
| ~ spl16_9
| spl16_24
| ~ spl16_81
| ~ spl16_157
| ~ spl16_182
| ~ spl16_237 ),
inference(forward_subsumption_resolution,[],[f35641,f1706]) ).
fof(f36222,plain,
( spl16_184
| ~ spl16_9
| spl16_24
| ~ spl16_81
| ~ spl16_157
| ~ spl16_182
| ~ spl16_237 ),
inference(avatar_split_clause,[],[f36067,f11592,f8494,f8211,f1704,f297,f78,f8505]) ).
fof(f36367,plain,
( sK6 = sK9(sK2)
| ~ spl16_182
| ~ spl16_196 ),
inference(forward_demodulation,[],[f8569,f8496]) ).
fof(f36396,plain,
( spl16_284
| ~ spl16_10
| spl16_83
| ~ spl16_277 ),
inference(avatar_split_clause,[],[f26934,f16813,f1859,f82,f17272]) ).
fof(f36473,plain,
( $false
| spl16_158
| ~ spl16_182
| ~ spl16_196 ),
inference(forward_subsumption_resolution,[],[f36367,f8215]) ).
fof(f36474,plain,
( spl16_158
| ~ spl16_182
| ~ spl16_196 ),
inference(avatar_contradiction_clause,[],[f36473]) ).
fof(f37046,plain,
( sK2 = sK6
| sK1 = sK5(sK6)
| ~ spl16_109 ),
inference(superposition,[],[f3751,f14]) ).
fof(f37058,plain,
( sK1 = sK5(sK6)
| spl16_83
| ~ spl16_109 ),
inference(forward_subsumption_resolution,[],[f37046,f1860]) ).
fof(f37060,plain,
( sK1 = sK6
| spl16_83
| ~ spl16_109 ),
inference(forward_demodulation,[],[f37058,f3751]) ).
fof(f37316,plain,
( sK2 = sK11(sK2)
| ~ spl16_6
| ~ spl16_182
| ~ spl16_196
| ~ spl16_284 ),
inference(resolution,[],[f24418,f17273]) ).
fof(f38408,plain,
( sK2 != sK2
| sK1 = sK12
| spl16_323 ),
inference(superposition,[],[f29092,f14]) ).
fof(f38415,plain,
( sK1 = sK12
| spl16_323 ),
inference(trivial_inequality_removal,[],[f38408]) ).
fof(f38470,plain,
( ! [X0] :
( sK6 = sK10(X0,sK2)
| sK6 = X0 )
| ~ spl16_295 ),
inference(equality_resolution,[],[f17713]) ).
fof(f38529,plain,
( ! [X0] :
( big_f(sK1,sK2)
| sK2 = X0
| sK1 = sK9(X0)
| sK2 = X0
| sK1 = sK9(X0) )
| ~ spl16_7
| ~ spl16_175 ),
inference(superposition,[],[f1753,f8444]) ).
fof(f38532,plain,
( big_f(sK1,sK2)
| sK2 = sK6
| sK1 = sK9(sK6)
| ~ spl16_7
| spl16_83
| ~ spl16_175
| ~ spl16_320 ),
inference(superposition,[],[f27554,f8444]) ).
fof(f38533,plain,
( ! [X0] :
( big_f(sK1,sK2)
| sK2 = X0
| sK1 = sK9(X0) )
| ~ spl16_7
| ~ spl16_175 ),
inference(duplicate_literal_removal,[],[f38529]) ).
fof(f38536,plain,
( big_f(sK1,sK2)
| sK1 = sK9(sK6)
| ~ spl16_7
| spl16_83
| ~ spl16_175
| ~ spl16_320 ),
inference(forward_subsumption_resolution,[],[f38532,f1860]) ).
fof(f38789,plain,
( ! [X0] :
( sK2 != X0
| sK1 = sK4(X0,sK2)
| sK1 = sK3(X0) )
| ~ spl16_25 ),
inference(equality_resolution,[],[f302]) ).
fof(f39353,plain,
( ! [X0] :
( ~ big_f(sK2,X0)
| sK1 = sK9(sK6)
| sK1 = X0 )
| spl16_264 ),
inference(superposition,[],[f14764,f118]) ).
fof(f39361,plain,
( ! [X0] :
( sK1 = sK2
| ~ big_f(sK2,X0)
| sK1 = X0 )
| spl16_264
| ~ spl16_320 ),
inference(forward_demodulation,[],[f39353,f27535]) ).
fof(f39372,plain,
( ! [X0] :
( ~ big_f(sK2,X0)
| sK1 = X0 )
| spl16_264
| ~ spl16_320 ),
inference(forward_subsumption_resolution,[],[f39361,f15]) ).
fof(f39380,plain,
( ! [X0] :
( sK6 = X0
| ~ big_f(sK2,X0) )
| ~ spl16_182
| spl16_264
| ~ spl16_320 ),
inference(forward_demodulation,[],[f39372,f8496]) ).
fof(f39384,plain,
( spl16_296
| ~ spl16_182
| spl16_264
| ~ spl16_320 ),
inference(avatar_split_clause,[],[f39380,f27533,f14763,f8494,f17715]) ).
fof(f41227,plain,
( ~ big_f(sK1,sK6)
| sK2 = sK6
| sK1 = sK3(sK6)
| ~ spl16_43
| spl16_91 ),
inference(superposition,[],[f2737,f586]) ).
fof(f41235,plain,
( ~ big_f(sK1,sK6)
| sK1 = sK3(sK6)
| ~ spl16_43
| spl16_83
| spl16_91 ),
inference(forward_subsumption_resolution,[],[f41227,f1860]) ).
fof(f42556,plain,
( ! [X9] :
( ~ big_f(X9,sK2)
| sF15 = X9 )
| ~ spl16_4
| ~ spl16_323 ),
inference(forward_demodulation,[],[f58,f29093]) ).
fof(f43238,plain,
( big_f(sK6,sK2)
| sK2 = sK6
| sK2 = sK6
| ~ spl16_157
| ~ spl16_295 ),
inference(superposition,[],[f8212,f38470]) ).
fof(f43253,plain,
( big_f(sK6,sK2)
| sK2 = sK6
| ~ spl16_157
| ~ spl16_295 ),
inference(duplicate_literal_removal,[],[f43238]) ).
fof(f44245,plain,
( sK6 = sK14(sK4(sK6,sK6),sK2)
| sK12 = sK4(sK6,sK6)
| ~ spl16_3
| ~ spl16_182
| ~ spl16_227 ),
inference(resolution,[],[f26994,f11109]) ).
fof(f44264,plain,
( sK6 = sK14(sK6,sK2)
| sK12 = sK4(sK6,sK6)
| ~ spl16_3
| ~ spl16_105
| ~ spl16_182
| ~ spl16_227 ),
inference(forward_demodulation,[],[f44245,f3226]) ).
fof(f44273,plain,
( sK12 = sK4(sK6,sK6)
| ~ spl16_3
| ~ spl16_105
| spl16_159
| ~ spl16_182
| ~ spl16_227 ),
inference(forward_subsumption_resolution,[],[f44264,f8333]) ).
fof(f44280,plain,
( sK6 = sK12
| ~ spl16_3
| ~ spl16_105
| spl16_159
| ~ spl16_182
| ~ spl16_227 ),
inference(forward_demodulation,[],[f44273,f3226]) ).
fof(f44283,plain,
( $false
| ~ spl16_3
| ~ spl16_105
| spl16_159
| ~ spl16_182
| ~ spl16_227
| spl16_322 ),
inference(forward_subsumption_resolution,[],[f44280,f29075]) ).
fof(f44284,plain,
( ~ spl16_3
| ~ spl16_105
| spl16_159
| ~ spl16_182
| ~ spl16_227
| spl16_322 ),
inference(avatar_contradiction_clause,[],[f44283]) ).
fof(f44341,plain,
( $false
| ~ spl16_26
| spl16_81
| ~ spl16_182 ),
inference(forward_subsumption_resolution,[],[f28703,f1705]) ).
fof(f44342,plain,
( ~ spl16_26
| spl16_81
| ~ spl16_182 ),
inference(avatar_contradiction_clause,[],[f44341]) ).
fof(f44713,plain,
( spl16_325
| ~ spl16_9
| ~ spl16_79
| ~ spl16_149
| ~ spl16_182
| ~ spl16_285 ),
inference(avatar_split_clause,[],[f19079,f17291,f8494,f7262,f1693,f78,f29149]) ).
fof(f45667,plain,
( sK2 = sK6
| ~ spl16_12
| ~ spl16_76
| ~ spl16_157
| ~ spl16_182
| ~ spl16_295 ),
inference(forward_subsumption_resolution,[],[f43253,f22284]) ).
fof(f46900,plain,
( $false
| ~ spl16_12
| ~ spl16_76
| spl16_83
| ~ spl16_157
| ~ spl16_182
| ~ spl16_295 ),
inference(forward_subsumption_resolution,[],[f45667,f1860]) ).
fof(f46901,plain,
( ~ spl16_12
| ~ spl16_76
| spl16_83
| ~ spl16_157
| ~ spl16_182
| ~ spl16_295 ),
inference(avatar_contradiction_clause,[],[f46900]) ).
fof(f47728,definition,
( spl16_359
<=> sK6 = sK11(sK2) ),
introduced(definition,[new_symbols(definition,[spl16_359])],[avatar_definition]) ).
fof(f47729,plain,
( sK6 != sK11(sK2)
| spl16_359 ),
inference(avatar_component_clause,[],[f47728]) ).
fof(f47730,plain,
( sK6 = sK11(sK2)
| ~ spl16_359 ),
inference(avatar_component_clause,[],[f47728]) ).
fof(f48135,plain,
( big_f(sK6,sK2)
| sK1 = sK7(sK6)
| ~ spl16_13 ),
inference(superposition,[],[f96,f14]) ).
fof(f48144,plain,
( sK1 = sK7(sK6)
| ~ spl16_13
| spl16_81 ),
inference(forward_subsumption_resolution,[],[f48135,f1705]) ).
fof(f48214,plain,
( ! [X0] :
( big_f(X0,sK6)
| sK1 = sK11(sK2)
| sK1 = X0 )
| ~ spl16_7
| spl16_83
| ~ spl16_158 ),
inference(superposition,[],[f36018,f118]) ).
fof(f49068,plain,
( big_f(sK6,sK6)
| sK6 = sK12
| sK2 = sK6
| ~ spl16_2
| ~ spl16_159 ),
inference(superposition,[],[f50,f8334]) ).
fof(f49403,plain,
( ! [X0] :
( sK2 != X0
| sK1 = X0
| sK1 = sK14(sK6,sK6) )
| spl16_300 ),
inference(superposition,[],[f17972,f118]) ).
fof(f49412,plain,
( ! [X0] :
( sK1 = X0
| sK1 = sK14(sK6,sK6) )
| spl16_300 ),
inference(forward_subsumption_resolution,[],[f49403,f14]) ).
fof(f49416,plain,
( ! [X0] :
( sK6 = X0
| sK1 = sK14(sK6,sK6) )
| ~ spl16_182
| spl16_300 ),
inference(forward_demodulation,[],[f49412,f8496]) ).
fof(f49829,plain,
( spl16_184
| ~ spl16_284
| ~ spl16_11
| spl16_83
| ~ spl16_162
| ~ spl16_182 ),
inference(avatar_split_clause,[],[f35816,f8494,f8379,f1859,f86,f17272,f8505]) ).
fof(f50332,plain,
( sK2 = sK6
| ~ spl16_325 ),
inference(equality_resolution,[],[f29150]) ).
fof(f50333,plain,
( $false
| spl16_83
| ~ spl16_325 ),
inference(forward_subsumption_resolution,[],[f50332,f1860]) ).
fof(f50334,plain,
( spl16_83
| ~ spl16_325 ),
inference(avatar_contradiction_clause,[],[f50333]) ).
fof(f50472,plain,
( big_f(sK6,sK2)
| sK1 = sK9(sK6)
| ~ spl16_7
| spl16_83
| ~ spl16_175
| ~ spl16_182
| ~ spl16_320 ),
inference(forward_demodulation,[],[f38536,f8496]) ).
fof(f50560,plain,
( sK1 = sK9(sK6)
| ~ spl16_7
| spl16_81
| spl16_83
| ~ spl16_175
| ~ spl16_182
| ~ spl16_320 ),
inference(forward_subsumption_resolution,[],[f50472,f1705]) ).
fof(f50608,plain,
( sK1 = sK2
| ~ spl16_7
| spl16_81
| spl16_83
| ~ spl16_175
| ~ spl16_182
| ~ spl16_320 ),
inference(forward_demodulation,[],[f50560,f27535]) ).
fof(f50627,plain,
( $false
| ~ spl16_7
| spl16_81
| spl16_83
| ~ spl16_175
| ~ spl16_182
| ~ spl16_320 ),
inference(forward_subsumption_resolution,[],[f50608,f15]) ).
fof(f50628,plain,
( ~ spl16_7
| spl16_81
| spl16_83
| ~ spl16_175
| ~ spl16_182
| ~ spl16_320 ),
inference(avatar_contradiction_clause,[],[f50627]) ).
fof(f50653,plain,
( ! [X10,X7] :
( sK2 = X7
| sK14(X7,X10) != X10
| ~ big_f(sK14(X7,X10),X7) )
| ~ spl16_3
| ~ spl16_323 ),
inference(forward_demodulation,[],[f54,f29093]) ).
fof(f50687,plain,
( sK1 = sK2
| sK12 = sF15
| ~ spl16_4
| ~ spl16_24
| ~ spl16_323 ),
inference(forward_demodulation,[],[f1194,f29093]) ).
fof(f51140,plain,
( ! [X0] :
( sK6 = sK14(sK6,sK6)
| sK6 = X0 )
| ~ spl16_182
| spl16_300 ),
inference(forward_demodulation,[],[f49416,f8496]) ).
fof(f51235,plain,
( sK12 = sF15
| ~ spl16_4
| ~ spl16_24
| ~ spl16_323 ),
inference(forward_subsumption_resolution,[],[f50687,f15]) ).
fof(f51384,plain,
( ! [X0] : sK6 = X0
| spl16_142
| ~ spl16_182
| spl16_300 ),
inference(forward_subsumption_resolution,[],[f51140,f6470]) ).
fof(f51475,plain,
( spl16_96
| spl16_142
| ~ spl16_182
| spl16_300 ),
inference(avatar_split_clause,[],[f51384,f17971,f8494,f6469,f3071]) ).
fof(f51716,plain,
( sK2 = sK3(sK2)
| ~ spl16_14
| ~ spl16_98
| spl16_107 ),
inference(forward_subsumption_resolution,[],[f3383,f3409]) ).
fof(f52831,plain,
( sK6 = sK12
| sK2 = sK6
| ~ spl16_2
| spl16_39
| ~ spl16_159
| ~ spl16_182 ),
inference(forward_subsumption_resolution,[],[f49068,f29547]) ).
fof(f52883,plain,
( sK2 = sK6
| ~ spl16_2
| spl16_39
| ~ spl16_159
| ~ spl16_182
| spl16_322 ),
inference(forward_subsumption_resolution,[],[f52831,f29075]) ).
fof(f52919,plain,
( $false
| ~ spl16_2
| spl16_39
| spl16_83
| ~ spl16_159
| ~ spl16_182
| spl16_322 ),
inference(forward_subsumption_resolution,[],[f52883,f1860]) ).
fof(f52920,plain,
( ~ spl16_2
| spl16_39
| spl16_83
| ~ spl16_159
| ~ spl16_182
| spl16_322 ),
inference(avatar_contradiction_clause,[],[f52919]) ).
fof(f53148,plain,
( sK2 = sK6
| sK1 = sK3(sK6)
| ~ spl16_110 ),
inference(superposition,[],[f3768,f14]) ).
fof(f53160,plain,
( sK1 = sK3(sK6)
| spl16_83
| ~ spl16_110 ),
inference(forward_subsumption_resolution,[],[f53148,f1860]) ).
fof(f53162,plain,
( sK1 = sK6
| spl16_83
| ~ spl16_110 ),
inference(forward_demodulation,[],[f53160,f3768]) ).
fof(f53163,plain,
( ! [X0] :
( sK3(X0) = X0
| sK1 = X0 )
| ~ spl16_108 ),
inference(superposition,[],[f3414,f14]) ).
fof(f53294,plain,
( sF15 = sK3(sK2)
| ~ spl16_22
| ~ spl16_98 ),
inference(resolution,[],[f3132,f152]) ).
fof(f53760,plain,
( ! [X0] :
( big_f(X0,sK6)
| sK1 = X0 )
| ~ spl16_284 ),
inference(superposition,[],[f17273,f14]) ).
fof(f53958,plain,
( sK2 = sK6
| sK1 = sK11(sK2)
| ~ spl16_359 ),
inference(superposition,[],[f47730,f14]) ).
fof(f53975,plain,
( sK1 = sK11(sK2)
| spl16_83
| ~ spl16_359 ),
inference(forward_subsumption_resolution,[],[f53958,f1860]) ).
fof(f53981,plain,
( sK1 = sK6
| spl16_83
| ~ spl16_359 ),
inference(forward_demodulation,[],[f53975,f47730]) ).
fof(f54323,plain,
( ! [X0] :
( big_f(X0,X0)
| sK1 = X0 )
| ~ spl16_24 ),
inference(superposition,[],[f298,f14]) ).
fof(f54467,plain,
( sK2 = sK6
| ~ spl16_6
| ~ spl16_182
| ~ spl16_196
| ~ spl16_284
| ~ spl16_359 ),
inference(forward_demodulation,[],[f37316,f47730]) ).
fof(f54761,plain,
( $false
| ~ spl16_6
| spl16_83
| ~ spl16_182
| ~ spl16_196
| ~ spl16_284
| ~ spl16_359 ),
inference(forward_subsumption_resolution,[],[f54467,f1860]) ).
fof(f54762,plain,
( ~ spl16_6
| spl16_83
| ~ spl16_182
| ~ spl16_196
| ~ spl16_284
| ~ spl16_359 ),
inference(avatar_contradiction_clause,[],[f54761]) ).
fof(f55191,plain,
( ! [X0] :
( sK1 != X0
| ~ big_f(sK1,sK1)
| sK1 = sK6
| sK6 = X0 )
| ~ spl16_11
| ~ spl16_133 ),
inference(superposition,[],[f87,f5840]) ).
fof(f55211,plain,
( ! [X0] :
( ~ big_f(sK1,sK1)
| sK1 = sK6
| sK6 = X0 )
| ~ spl16_11
| ~ spl16_133 ),
inference(forward_subsumption_resolution,[],[f55191,f118]) ).
fof(f57025,definition,
( spl16_375
<=> ! [X1] :
( sK9(sK1) = X1
| sK1 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl16_375])],[avatar_definition]) ).
fof(f57026,plain,
( ! [X1] :
( sK9(sK1) = X1
| sK1 = X1 )
| ~ spl16_375 ),
inference(avatar_component_clause,[],[f57025]) ).
fof(f57028,definition,
( spl16_376
<=> ! [X0] :
( big_f(sK10(sK1,X0),sK1)
| sK10(sK1,X0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_376])],[avatar_definition]) ).
fof(f57029,plain,
( ! [X0] :
( big_f(sK10(sK1,X0),sK1)
| sK10(sK1,X0) = X0 )
| ~ spl16_376 ),
inference(avatar_component_clause,[],[f57028]) ).
fof(f57079,definition,
( spl16_378
<=> sK1 = sK11(sK2) ),
introduced(definition,[new_symbols(definition,[spl16_378])],[avatar_definition]) ).
fof(f57080,plain,
( sK1 != sK11(sK2)
| spl16_378 ),
inference(avatar_component_clause,[],[f57079]) ).
fof(f57081,plain,
( sK1 = sK11(sK2)
| ~ spl16_378 ),
inference(avatar_component_clause,[],[f57079]) ).
fof(f57083,definition,
( spl16_379
<=> ! [X0] :
( big_f(X0,sK6)
| sK1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_379])],[avatar_definition]) ).
fof(f57084,plain,
( ! [X0] :
( big_f(X0,sK6)
| sK1 = X0 )
| ~ spl16_379 ),
inference(avatar_component_clause,[],[f57083]) ).
fof(f57121,plain,
( spl16_378
| spl16_379
| ~ spl16_7
| spl16_83
| ~ spl16_158 ),
inference(avatar_split_clause,[],[f48214,f8214,f1859,f70,f57083,f57079]) ).
fof(f57126,plain,
( spl16_44
| ~ spl16_4
| ~ spl16_19
| ~ spl16_23 ),
inference(avatar_split_clause,[],[f32450,f155,f136,f57,f588]) ).
fof(f57127,plain,
( spl16_187
| ~ spl16_4
| ~ spl16_19
| ~ spl16_23 ),
inference(avatar_split_clause,[],[f32460,f155,f136,f57,f8516]) ).
fof(f57131,plain,
( spl16_258
| ~ spl16_17
| spl16_35
| ~ spl16_66
| ~ spl16_108
| ~ spl16_178 ),
inference(avatar_split_clause,[],[f11296,f8473,f3412,f1558,f534,f111,f14567]) ).
fof(f57149,plain,
( spl16_224
| ~ spl16_17
| ~ spl16_66
| ~ spl16_108
| ~ spl16_178 ),
inference(avatar_split_clause,[],[f11265,f8473,f3412,f1558,f111,f10707]) ).
fof(f57215,plain,
( spl16_201
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f53163,f3412,f8969]) ).
fof(f57251,plain,
( spl16_379
| ~ spl16_284 ),
inference(avatar_split_clause,[],[f53760,f17272,f57083]) ).
fof(f57283,plain,
( ! [X0] :
( sK1 = sK6
| sK2 = X0 )
| ~ spl16_11
| ~ spl16_39
| ~ spl16_194 ),
inference(forward_subsumption_resolution,[],[f19325,f559]) ).
fof(f57566,plain,
( ! [X0] : sK2 = X0
| ~ spl16_11
| ~ spl16_39
| spl16_182
| ~ spl16_194 ),
inference(forward_subsumption_resolution,[],[f57283,f8495]) ).
fof(f57712,plain,
( spl16_184
| ~ spl16_11
| ~ spl16_39
| spl16_182
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f57566,f8559,f8494,f557,f86,f8505]) ).
fof(f57808,plain,
( spl16_76
| ~ spl16_12
| ~ spl16_79 ),
inference(avatar_split_clause,[],[f2400,f1693,f90,f1681]) ).
fof(f57809,plain,
( spl16_76
| ~ spl16_13
| spl16_81 ),
inference(avatar_split_clause,[],[f48144,f1704,f94,f1681]) ).
fof(f57963,plain,
( ! [X0,X1] :
( ~ big_f(X1,X0)
| sK1 = X0
| sK11(sK1) = X1
| sK1 = X0 )
| ~ spl16_6
| ~ spl16_375 ),
inference(superposition,[],[f67,f57026]) ).
fof(f58028,plain,
( ! [X0,X1] :
( ~ big_f(X1,X0)
| sK1 = X0
| sK11(sK1) = X1 )
| ~ spl16_6
| ~ spl16_375 ),
inference(duplicate_literal_removal,[],[f57963]) ).
fof(f58032,definition,
( spl16_388
<=> sK1 = sK9(sK1) ),
introduced(definition,[new_symbols(definition,[spl16_388])],[avatar_definition]) ).
fof(f58033,plain,
( sK1 = sK9(sK1)
| ~ spl16_388 ),
inference(avatar_component_clause,[],[f58032]) ).
fof(f58034,plain,
( sK1 != sK9(sK1)
| spl16_388 ),
inference(avatar_component_clause,[],[f58032]) ).
fof(f58114,definition,
( spl16_402
<=> ! [X0] :
( sK2 = X0
| sK1 = sK9(X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_402])],[avatar_definition]) ).
fof(f58115,plain,
( ! [X0] :
( sK1 = sK9(X0)
| sK2 = X0 )
| ~ spl16_402 ),
inference(avatar_component_clause,[],[f58114]) ).
fof(f58145,plain,
( ! [X0] :
( sK1 = sK9(X0)
| sK1 = X0 )
| ~ spl16_196 ),
inference(superposition,[],[f8569,f14]) ).
fof(f58175,plain,
( ! [X0,X1] :
( sK1 = X0
| sK1 = X0
| sK3(X0) = X1
| sK1 = X1 )
| ~ spl16_201 ),
inference(superposition,[],[f8970,f118]) ).
fof(f58182,plain,
( ! [X0,X1] :
( sK1 = X0
| sK3(X0) = X1
| sK1 = X1 )
| ~ spl16_201 ),
inference(duplicate_literal_removal,[],[f58175]) ).
fof(f58184,plain,
( spl16_62
| ~ spl16_201 ),
inference(avatar_split_clause,[],[f58182,f8969,f1538]) ).
fof(f58313,definition,
( spl16_406
<=> sK6 = sK11(sK1) ),
introduced(definition,[new_symbols(definition,[spl16_406])],[avatar_definition]) ).
fof(f58315,plain,
( sK6 = sK11(sK1)
| ~ spl16_406 ),
inference(avatar_component_clause,[],[f58313]) ).
fof(f58829,plain,
( ! [X0] :
( ~ big_f(sK2,X0)
| sK2 = X0 )
| ~ spl16_14
| ~ spl16_33
| ~ spl16_239 ),
inference(forward_demodulation,[],[f1422,f11615]) ).
fof(f58875,plain,
( ! [X0] :
( sK1 = sK8(X0,X0)
| sK1 = X0 )
| ~ spl16_252 ),
inference(superposition,[],[f13986,f14]) ).
fof(f59142,plain,
( ! [X0] :
( sK5(X0) = sK6
| sK3(X0) = X0
| sK1 = sK3(X0) )
| ~ spl16_14
| ~ spl16_379 ),
inference(resolution,[],[f100,f57084]) ).
fof(f59223,definition,
( spl16_418
<=> sK1 = sK3(sK6) ),
introduced(definition,[new_symbols(definition,[spl16_418])],[avatar_definition]) ).
fof(f59224,plain,
( sK1 != sK3(sK6)
| spl16_418 ),
inference(avatar_component_clause,[],[f59223]) ).
fof(f59225,plain,
( sK1 = sK3(sK6)
| ~ spl16_418 ),
inference(avatar_component_clause,[],[f59223]) ).
fof(f59285,plain,
( sK1 = sK2
| sK1 = sK6
| ~ spl16_196
| ~ spl16_320 ),
inference(superposition,[],[f58145,f27535]) ).
fof(f59309,plain,
( sK1 = sK6
| ~ spl16_196
| ~ spl16_320 ),
inference(forward_subsumption_resolution,[],[f59285,f15]) ).
fof(f59312,plain,
( $false
| spl16_182
| ~ spl16_196
| ~ spl16_320 ),
inference(forward_subsumption_resolution,[],[f59309,f8495]) ).
fof(f59313,plain,
( spl16_182
| ~ spl16_196
| ~ spl16_320 ),
inference(avatar_contradiction_clause,[],[f59312]) ).
fof(f59314,plain,
( spl16_149
| spl16_320 ),
inference(avatar_split_clause,[],[f34784,f27533,f7262]) ).
fof(f59334,plain,
( sK2 = sK9(sK6)
| ~ spl16_4
| ~ spl16_19
| ~ spl16_22
| ~ spl16_262 ),
inference(resolution,[],[f14756,f26306]) ).
fof(f59368,plain,
( ~ big_f(sK1,sK2)
| ~ spl16_149
| spl16_262 ),
inference(forward_demodulation,[],[f14755,f7264]) ).
fof(f59406,plain,
( ! [X0] :
( big_f(X0,sK1)
| sK6 = X0
| sK1 = X0
| sK1 = X0 )
| ~ spl16_10
| ~ spl16_252 ),
inference(superposition,[],[f83,f58875]) ).
fof(f59407,plain,
( ! [X0] :
( big_f(X0,sK1)
| sK6 = X0
| sK1 = X0 )
| ~ spl16_10
| ~ spl16_252 ),
inference(duplicate_literal_removal,[],[f59406]) ).
fof(f59472,plain,
( sK1 = sK11(sK2)
| ~ spl16_6
| ~ spl16_39
| ~ spl16_196 ),
inference(resolution,[],[f11647,f559]) ).
fof(f59483,plain,
( spl16_378
| ~ spl16_6
| ~ spl16_39
| ~ spl16_196 ),
inference(avatar_split_clause,[],[f59472,f8567,f557,f66,f57079]) ).
fof(f60047,plain,
( sK6 = sK11(sK2)
| ~ spl16_6
| ~ spl16_79
| ~ spl16_196 ),
inference(resolution,[],[f1695,f11647]) ).
fof(f60050,plain,
( $false
| ~ spl16_6
| ~ spl16_79
| ~ spl16_196
| spl16_359 ),
inference(forward_subsumption_resolution,[],[f60047,f47729]) ).
fof(f60051,plain,
( ~ spl16_6
| ~ spl16_79
| ~ spl16_196
| spl16_359 ),
inference(avatar_contradiction_clause,[],[f60050]) ).
fof(f60053,plain,
( $false
| spl16_83
| spl16_182
| ~ spl16_359 ),
inference(forward_subsumption_resolution,[],[f53981,f8495]) ).
fof(f60054,plain,
( spl16_83
| spl16_182
| ~ spl16_359 ),
inference(avatar_contradiction_clause,[],[f60053]) ).
fof(f60056,plain,
( sK1 = sK6
| ~ spl16_6
| ~ spl16_79
| ~ spl16_196
| ~ spl16_378 ),
inference(forward_demodulation,[],[f60047,f57081]) ).
fof(f60059,plain,
( $false
| ~ spl16_6
| ~ spl16_79
| spl16_182
| ~ spl16_196
| ~ spl16_378 ),
inference(forward_subsumption_resolution,[],[f60056,f8495]) ).
fof(f60060,plain,
( ~ spl16_6
| ~ spl16_79
| spl16_182
| ~ spl16_196
| ~ spl16_378 ),
inference(avatar_contradiction_clause,[],[f60059]) ).
fof(f60584,plain,
( ! [X0] :
( sK1 != sK1
| sK14(sK2,sK6) = X0
| sK1 = X0 )
| spl16_198 ),
inference(superposition,[],[f8585,f118]) ).
fof(f60589,plain,
( ! [X0] :
( sK14(sK2,sK6) = X0
| sK1 = X0 )
| spl16_198 ),
inference(trivial_inequality_removal,[],[f60584]) ).
fof(f60682,plain,
( ! [X0] :
( big_f(X0,sK2)
| sK2 = sK12
| sK6 = X0
| sK1 = X0 )
| ~ spl16_2
| spl16_198 ),
inference(superposition,[],[f50,f60589]) ).
fof(f60881,plain,
( sK2 = sK6
| sK1 = sK2
| ~ spl16_14
| ~ spl16_33
| ~ spl16_239
| ~ spl16_379 ),
inference(resolution,[],[f58829,f57084]) ).
fof(f60884,plain,
( ! [X0,X1] :
( ~ big_f(X0,X1)
| X0 = X1
| sK1 = X0 )
| ~ spl16_14
| ~ spl16_33
| ~ spl16_239 ),
inference(superposition,[],[f58829,f14]) ).
fof(f60895,plain,
( sK1 = sK2
| ~ spl16_14
| ~ spl16_33
| spl16_83
| ~ spl16_239
| ~ spl16_379 ),
inference(forward_subsumption_resolution,[],[f60881,f34792]) ).
fof(f60906,plain,
( $false
| ~ spl16_14
| ~ spl16_33
| spl16_83
| ~ spl16_239
| ~ spl16_379 ),
inference(forward_subsumption_resolution,[],[f60895,f15]) ).
fof(f60907,plain,
( ~ spl16_14
| ~ spl16_33
| spl16_83
| ~ spl16_239
| ~ spl16_379 ),
inference(avatar_contradiction_clause,[],[f60906]) ).
fof(f60912,plain,
( $false
| spl16_35
| spl16_239 ),
inference(forward_subsumption_resolution,[],[f15698,f535]) ).
fof(f60913,plain,
( spl16_35
| spl16_239 ),
inference(avatar_contradiction_clause,[],[f60912]) ).
fof(f60914,plain,
( spl16_178
| ~ spl16_15
| ~ spl16_33 ),
inference(avatar_split_clause,[],[f1421,f526,f103,f8473]) ).
fof(f61007,plain,
( ! [X0] :
( sK2 = X0
| sK1 = sK8(sK5(sK1),X0) )
| ~ spl16_10
| ~ spl16_35
| spl16_74
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f16055,f8495]) ).
fof(f61032,plain,
( ! [X0] :
( sK1 = sK8(sK1,X0)
| sK2 = X0 )
| ~ spl16_10
| ~ spl16_35
| spl16_74
| spl16_182 ),
inference(forward_demodulation,[],[f61007,f536]) ).
fof(f61041,plain,
( spl16_194
| ~ spl16_10
| ~ spl16_35
| spl16_74
| spl16_182 ),
inference(avatar_split_clause,[],[f61032,f8494,f1658,f534,f82,f8559]) ).
fof(f61042,plain,
( ! [X0] :
( ~ big_f(sK1,sK2)
| sK2 != X0
| sK1 = sK4(sK1,X0) )
| ~ spl16_17
| ~ spl16_28 ),
inference(trivial_inequality_removal,[],[f1737]) ).
fof(f61043,plain,
( ! [X0] :
( big_f(sK1,sK4(sK1,X0))
| sK4(sK1,X0) = X0 )
| ~ spl16_16
| ~ spl16_28 ),
inference(trivial_inequality_removal,[],[f19533]) ).
fof(f61316,plain,
( sK1 = sK4(sK2,sK2)
| ~ spl16_17
| ~ spl16_24
| ~ spl16_108 ),
inference(equality_resolution,[],[f30153]) ).
fof(f61557,plain,
( big_f(sK2,sK1)
| sK1 = sK2
| sK1 = sK2
| ~ spl16_58
| ~ spl16_250 ),
inference(superposition,[],[f1245,f15890]) ).
fof(f61564,plain,
( big_f(sK2,sK1)
| sK1 = sK2
| ~ spl16_58
| ~ spl16_250 ),
inference(duplicate_literal_removal,[],[f61557]) ).
fof(f61948,plain,
( big_f(sK2,sK1)
| sK1 = sK5(sK1)
| sK1 = sK2
| ~ spl16_58
| ~ spl16_224 ),
inference(superposition,[],[f1245,f10708]) ).
fof(f62066,plain,
( big_f(sK1,sK1)
| sK1 = sK2
| ~ spl16_16
| ~ spl16_28
| ~ spl16_123 ),
inference(superposition,[],[f61043,f4717]) ).
fof(f62069,plain,
( big_f(sK1,sK1)
| sK1 = sK6
| ~ spl16_16
| ~ spl16_28
| ~ spl16_199 ),
inference(superposition,[],[f61043,f8662]) ).
fof(f62071,plain,
( ! [X0] :
( big_f(sK1,sK2)
| sK2 = X0
| sK1 = sK4(sK1,X0) )
| ~ spl16_16
| ~ spl16_28 ),
inference(superposition,[],[f61043,f14]) ).
fof(f62083,plain,
( ! [X0] :
( sK1 = sK4(sK1,X0)
| sK2 = X0 )
| ~ spl16_16
| spl16_26
| ~ spl16_28 ),
inference(forward_subsumption_resolution,[],[f62071,f307]) ).
fof(f62103,plain,
( ! [X0] :
( sK1 != X0
| ~ big_f(sK3(sK1),sK1)
| sK1 != sK3(sK1)
| sK2 = X0 )
| ~ spl16_16
| ~ spl16_17
| spl16_26
| ~ spl16_28 ),
inference(superposition,[],[f112,f62083]) ).
fof(f62106,plain,
( ! [X0] :
( ~ big_f(sK3(sK1),sK1)
| sK1 != sK3(sK1)
| sK2 = X0 )
| ~ spl16_16
| ~ spl16_17
| spl16_26
| ~ spl16_28 ),
inference(forward_subsumption_resolution,[],[f62103,f14]) ).
fof(f62108,plain,
( ! [X0] :
( ~ big_f(sK3(sK1),sK1)
| sK2 = X0 )
| ~ spl16_16
| ~ spl16_17
| spl16_26
| ~ spl16_28 ),
inference(forward_subsumption_resolution,[],[f62106,f505]) ).
fof(f62109,plain,
( ! [X0] :
( ~ big_f(sK1,sK1)
| sK2 = X0 )
| ~ spl16_16
| ~ spl16_17
| spl16_26
| ~ spl16_28 ),
inference(forward_demodulation,[],[f62108,f505]) ).
fof(f62120,plain,
( $false
| ~ spl16_26
| ~ spl16_149
| spl16_262 ),
inference(forward_subsumption_resolution,[],[f59368,f306]) ).
fof(f62121,plain,
( ~ spl16_26
| ~ spl16_149
| spl16_262 ),
inference(avatar_contradiction_clause,[],[f62120]) ).
fof(f62122,plain,
( ! [X0] :
( sK2 != X0
| sK1 = sK4(sK1,X0) )
| ~ spl16_17
| ~ spl16_26
| ~ spl16_28 ),
inference(forward_subsumption_resolution,[],[f61042,f306]) ).
fof(f62151,plain,
( spl16_320
| ~ spl16_4
| ~ spl16_19
| ~ spl16_22
| ~ spl16_262 ),
inference(avatar_split_clause,[],[f59334,f14754,f151,f136,f57,f27533]) ).
fof(f62187,plain,
( ! [X0] :
( sK9(X0) = X0
| sK1 = X0 )
| ~ spl16_237 ),
inference(superposition,[],[f11593,f14]) ).
fof(f62293,plain,
( sK1 = sK4(sK1,sK2)
| ~ spl16_17
| ~ spl16_26
| ~ spl16_28 ),
inference(equality_resolution,[],[f62122]) ).
fof(f62328,plain,
( sK6 != sK6
| sK1 = sK6
| spl16_150
| ~ spl16_237 ),
inference(superposition,[],[f7279,f62187]) ).
fof(f62329,plain,
( sK1 = sK6
| spl16_150
| ~ spl16_237 ),
inference(trivial_inequality_removal,[],[f62328]) ).
fof(f62333,plain,
( $false
| spl16_150
| spl16_182
| ~ spl16_237 ),
inference(forward_subsumption_resolution,[],[f62329,f8495]) ).
fof(f62334,plain,
( spl16_150
| spl16_182
| ~ spl16_237 ),
inference(avatar_contradiction_clause,[],[f62333]) ).
fof(f62374,plain,
( sK1 = sK6
| ~ spl16_16
| ~ spl16_28
| spl16_39
| ~ spl16_199 ),
inference(forward_subsumption_resolution,[],[f62069,f558]) ).
fof(f62377,plain,
( sK1 = sK2
| ~ spl16_16
| ~ spl16_28
| spl16_39
| ~ spl16_123 ),
inference(forward_subsumption_resolution,[],[f62066,f558]) ).
fof(f62402,plain,
( $false
| ~ spl16_16
| ~ spl16_28
| spl16_39
| spl16_182
| ~ spl16_199 ),
inference(forward_subsumption_resolution,[],[f62374,f8495]) ).
fof(f62403,plain,
( ~ spl16_16
| ~ spl16_28
| spl16_39
| spl16_182
| ~ spl16_199 ),
inference(avatar_contradiction_clause,[],[f62402]) ).
fof(f62407,plain,
( $false
| ~ spl16_16
| ~ spl16_28
| spl16_39
| ~ spl16_123 ),
inference(forward_subsumption_resolution,[],[f62377,f15]) ).
fof(f62408,plain,
( ~ spl16_16
| ~ spl16_28
| spl16_39
| ~ spl16_123 ),
inference(avatar_contradiction_clause,[],[f62407]) ).
fof(f62606,plain,
( ! [X0] :
( sK1 != sK1
| sK4(sK1,sK6) = X0
| sK1 = X0 )
| spl16_199 ),
inference(superposition,[],[f8661,f118]) ).
fof(f62610,plain,
( ! [X0] :
( sK4(sK1,sK6) = X0
| sK1 = X0 )
| spl16_199 ),
inference(trivial_inequality_removal,[],[f62606]) ).
fof(f62807,plain,
( sK1 = sK4(sK2,sK2)
| sK1 = sK3(sK2)
| ~ spl16_25 ),
inference(equality_resolution,[],[f38789]) ).
fof(f62811,plain,
( sK1 = sK2
| sK2 = sF15
| ~ spl16_22
| ~ spl16_44 ),
inference(resolution,[],[f589,f152]) ).
fof(f62858,plain,
( sK6 != sK6
| sK1 = sK3(sK1)
| sK1 = sK3(sK1)
| ~ spl16_14
| spl16_84
| ~ spl16_379 ),
inference(superposition,[],[f2220,f59142]) ).
fof(f62870,plain,
( sK6 != sK6
| sK6 = sK3(sK6)
| sK1 = sK3(sK6)
| ~ spl16_14
| spl16_109
| ~ spl16_379 ),
inference(superposition,[],[f3752,f59142]) ).
fof(f62871,plain,
( sK6 = sK3(sK6)
| sK1 = sK3(sK6)
| ~ spl16_14
| spl16_109
| ~ spl16_379 ),
inference(trivial_inequality_removal,[],[f62870]) ).
fof(f62880,plain,
( sK6 != sK6
| sK1 = sK3(sK1)
| ~ spl16_14
| spl16_84
| ~ spl16_379 ),
inference(duplicate_literal_removal,[],[f62858]) ).
fof(f62881,plain,
( sK1 = sK3(sK1)
| ~ spl16_14
| spl16_84
| ~ spl16_379 ),
inference(trivial_inequality_removal,[],[f62880]) ).
fof(f62888,plain,
( sK1 = sK3(sK6)
| ~ spl16_14
| spl16_83
| spl16_109
| ~ spl16_379 ),
inference(forward_subsumption_resolution,[],[f62871,f34792]) ).
fof(f62893,plain,
( spl16_418
| ~ spl16_14
| spl16_83
| spl16_109
| ~ spl16_379 ),
inference(avatar_split_clause,[],[f62888,f57083,f3750,f1859,f99,f59223]) ).
fof(f62896,plain,
( sK1 = sK6
| sK1 = sK6
| ~ spl16_201
| ~ spl16_418 ),
inference(superposition,[],[f59225,f8970]) ).
fof(f62925,plain,
( sK1 = sK6
| ~ spl16_201
| ~ spl16_418 ),
inference(duplicate_literal_removal,[],[f62896]) ).
fof(f62942,plain,
( $false
| spl16_182
| ~ spl16_201
| ~ spl16_418 ),
inference(forward_subsumption_resolution,[],[f62925,f8495]) ).
fof(f62943,plain,
( spl16_182
| ~ spl16_201
| ~ spl16_418 ),
inference(avatar_contradiction_clause,[],[f62942]) ).
fof(f63009,plain,
( $false
| spl16_83
| ~ spl16_109
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f37060,f8495]) ).
fof(f63010,plain,
( spl16_83
| ~ spl16_109
| spl16_182 ),
inference(avatar_contradiction_clause,[],[f63009]) ).
fof(f63016,plain,
( big_f(sK3(sK6),sK1)
| ~ spl16_15
| spl16_110
| ~ spl16_120 ),
inference(forward_subsumption_resolution,[],[f4285,f3767]) ).
fof(f63028,plain,
( spl16_107
| ~ spl16_5
| ~ spl16_14
| ~ spl16_18
| ~ spl16_57
| ~ spl16_323 ),
inference(avatar_split_clause,[],[f29556,f29091,f1240,f132,f99,f61,f3408]) ).
fof(f63031,plain,
( $false
| ~ spl16_17
| ~ spl16_26
| ~ spl16_28
| spl16_123 ),
inference(forward_subsumption_resolution,[],[f62293,f4716]) ).
fof(f63032,plain,
( ~ spl16_17
| ~ spl16_26
| ~ spl16_28
| spl16_123 ),
inference(avatar_contradiction_clause,[],[f63031]) ).
fof(f63138,plain,
( sK1 = sK12
| ~ spl16_18
| ~ spl16_321 ),
inference(forward_demodulation,[],[f29072,f134]) ).
fof(f63145,plain,
( sK1 = sK12
| ~ spl16_4
| ~ spl16_18
| ~ spl16_24
| ~ spl16_323 ),
inference(forward_demodulation,[],[f51235,f134]) ).
fof(f63162,plain,
( sK2 = sF15
| ~ spl16_22
| ~ spl16_44 ),
inference(forward_subsumption_resolution,[],[f62811,f15]) ).
fof(f63213,plain,
( sK1 = sK2
| ~ spl16_18
| ~ spl16_321
| ~ spl16_323 ),
inference(forward_demodulation,[],[f63138,f29093]) ).
fof(f63217,plain,
( sK1 = sK2
| ~ spl16_4
| ~ spl16_18
| ~ spl16_24
| ~ spl16_323 ),
inference(forward_demodulation,[],[f63145,f29093]) ).
fof(f63267,plain,
( $false
| ~ spl16_18
| ~ spl16_321
| ~ spl16_323 ),
inference(forward_subsumption_resolution,[],[f63213,f15]) ).
fof(f63268,plain,
( ~ spl16_18
| ~ spl16_321
| ~ spl16_323 ),
inference(avatar_contradiction_clause,[],[f63267]) ).
fof(f63272,plain,
( $false
| ~ spl16_4
| ~ spl16_18
| ~ spl16_24
| ~ spl16_323 ),
inference(forward_subsumption_resolution,[],[f63217,f15]) ).
fof(f63273,plain,
( ~ spl16_4
| ~ spl16_18
| ~ spl16_24
| ~ spl16_323 ),
inference(avatar_contradiction_clause,[],[f63272]) ).
fof(f63325,plain,
( ~ spl16_41
| spl16_19
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f941,f142,f136,f566]) ).
fof(f63359,plain,
( ~ big_f(sK1,sK2)
| ~ spl16_57
| spl16_98 ),
inference(forward_demodulation,[],[f3131,f1242]) ).
fof(f63410,plain,
( $false
| spl16_252
| spl16_283 ),
inference(forward_subsumption_resolution,[],[f23594,f13985]) ).
fof(f63411,plain,
( spl16_252
| spl16_283 ),
inference(avatar_contradiction_clause,[],[f63410]) ).
fof(f63491,plain,
( $false
| ~ spl16_26
| ~ spl16_57
| spl16_98 ),
inference(forward_subsumption_resolution,[],[f63359,f306]) ).
fof(f63492,plain,
( ~ spl16_26
| ~ spl16_57
| spl16_98 ),
inference(avatar_contradiction_clause,[],[f63491]) ).
fof(f63628,plain,
( ! [X0] :
( sK1 != X0
| sK2 = sK12
| sK2 = X0 )
| ~ spl16_3
| ~ spl16_26
| ~ spl16_251 ),
inference(forward_subsumption_resolution,[],[f14094,f306]) ).
fof(f63694,plain,
( sK1 = sK2
| ~ spl16_47
| ~ spl16_58
| ~ spl16_250 ),
inference(forward_subsumption_resolution,[],[f61564,f622]) ).
fof(f63735,plain,
( ! [X0] :
( sK2 = sK12
| sK2 = X0 )
| ~ spl16_3
| ~ spl16_26
| ~ spl16_251 ),
inference(forward_subsumption_resolution,[],[f63628,f14]) ).
fof(f63757,plain,
( $false
| ~ spl16_47
| ~ spl16_58
| ~ spl16_250 ),
inference(forward_subsumption_resolution,[],[f63694,f15]) ).
fof(f63758,plain,
( ~ spl16_47
| ~ spl16_58
| ~ spl16_250 ),
inference(avatar_contradiction_clause,[],[f63757]) ).
fof(f63789,plain,
( sK1 = sF15
| ~ spl16_22
| ~ spl16_57
| ~ spl16_98 ),
inference(forward_demodulation,[],[f53294,f1242]) ).
fof(f63840,plain,
( ! [X0] :
( sK1 = sK14(sK1,X0)
| sK14(sK1,X0) = X0 )
| ~ spl16_2
| spl16_20
| ~ spl16_47 ),
inference(forward_subsumption_resolution,[],[f902,f143]) ).
fof(f63842,plain,
( $false
| spl16_20
| spl16_323 ),
inference(forward_subsumption_resolution,[],[f38415,f143]) ).
fof(f63843,plain,
( spl16_20
| spl16_323 ),
inference(avatar_contradiction_clause,[],[f63842]) ).
fof(f63844,plain,
( ! [X9] :
( ~ big_f(X9,sK12)
| sK2 = X9 )
| ~ spl16_4
| ~ spl16_22
| ~ spl16_44 ),
inference(forward_demodulation,[],[f58,f63162]) ).
fof(f63864,plain,
( $false
| spl16_18
| ~ spl16_39
| ~ spl16_49 ),
inference(forward_subsumption_resolution,[],[f1177,f133]) ).
fof(f63865,plain,
( spl16_18
| ~ spl16_39
| ~ spl16_49 ),
inference(avatar_contradiction_clause,[],[f63864]) ).
fof(f63881,plain,
( $false
| spl16_18
| ~ spl16_22
| ~ spl16_57
| ~ spl16_98 ),
inference(forward_subsumption_resolution,[],[f63789,f133]) ).
fof(f63882,plain,
( spl16_18
| ~ spl16_22
| ~ spl16_57
| ~ spl16_98 ),
inference(avatar_contradiction_clause,[],[f63881]) ).
fof(f63987,plain,
( spl16_108
| ~ spl16_14
| ~ spl16_98
| spl16_107 ),
inference(avatar_split_clause,[],[f51716,f3408,f3130,f99,f3412]) ).
fof(f63999,definition,
( spl16_463
<=> ! [X0] :
( sK1 = sK3(X0)
| sK1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_463])],[avatar_definition]) ).
fof(f64000,plain,
( ! [X0] :
( sK1 = sK3(X0)
| sK1 = X0 )
| ~ spl16_463 ),
inference(avatar_component_clause,[],[f63999]) ).
fof(f64015,definition,
( spl16_464
<=> sK1 = sK4(sK1,sK3(sK2)) ),
introduced(definition,[new_symbols(definition,[spl16_464])],[avatar_definition]) ).
fof(f64016,plain,
( sK1 = sK4(sK1,sK3(sK2))
| ~ spl16_464 ),
inference(avatar_component_clause,[],[f64015]) ).
fof(f64017,plain,
( sK1 != sK4(sK1,sK3(sK2))
| spl16_464 ),
inference(avatar_component_clause,[],[f64015]) ).
fof(f64183,plain,
( spl16_258
| ~ spl16_17
| ~ spl16_24
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f61316,f3412,f297,f111,f14567]) ).
fof(f64188,plain,
( ! [X0] :
( big_f(X0,sK6)
| sK6 = sK12
| sK1 = X0 )
| ~ spl16_2
| spl16_83
| spl16_134 ),
inference(forward_subsumption_resolution,[],[f6408,f34792]) ).
fof(f64318,plain,
( ! [X0] :
( big_f(X0,sK6)
| sK1 = X0 )
| ~ spl16_2
| spl16_83
| spl16_134
| spl16_322 ),
inference(forward_subsumption_resolution,[],[f64188,f29075]) ).
fof(f64343,plain,
( spl16_379
| ~ spl16_2
| spl16_83
| spl16_134
| spl16_322 ),
inference(avatar_split_clause,[],[f64318,f29074,f5842,f1859,f49,f57083]) ).
fof(f64371,plain,
( sK1 != sK4(sK1,sK2)
| ~ spl16_108
| spl16_464 ),
inference(forward_demodulation,[],[f64017,f3414]) ).
fof(f64391,definition,
( spl16_474
<=> big_f(sK11(sK2),sK1) ),
introduced(definition,[new_symbols(definition,[spl16_474])],[avatar_definition]) ).
fof(f64393,plain,
( big_f(sK11(sK2),sK1)
| ~ spl16_474 ),
inference(avatar_component_clause,[],[f64391]) ).
fof(f64453,definition,
( spl16_475
<=> ! [X0] :
( sK2 = X0
| sK1 = sK10(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_475])],[avatar_definition]) ).
fof(f64454,plain,
( ! [X0] :
( sK1 = sK10(sK1,X0)
| sK2 = X0 )
| ~ spl16_475 ),
inference(avatar_component_clause,[],[f64453]) ).
fof(f64464,plain,
( sK6 = sK7(sK6)
| sK1 = sK6
| ~ spl16_12
| ~ spl16_24 ),
inference(resolution,[],[f91,f54323]) ).
fof(f64483,plain,
( ! [X0] :
( big_f(sK2,sK1)
| sK2 = X0
| sK1 = sK10(sK1,X0) )
| ~ spl16_376 ),
inference(superposition,[],[f57029,f14]) ).
fof(f64487,plain,
( ! [X0,X1] :
( big_f(sK1,sK1)
| sK1 = X0
| sK10(sK1,X0) = X1
| sK1 = X1 )
| ~ spl16_376 ),
inference(superposition,[],[f57029,f118]) ).
fof(f64886,plain,
( sK1 = sK12
| sK1 = sK2
| ~ spl16_4
| ~ spl16_22
| ~ spl16_44
| ~ spl16_206 ),
inference(resolution,[],[f9105,f63844]) ).
fof(f64890,plain,
( sK1 = sK2
| ~ spl16_4
| spl16_20
| ~ spl16_22
| ~ spl16_44
| ~ spl16_206 ),
inference(forward_subsumption_resolution,[],[f64886,f143]) ).
fof(f64891,plain,
( $false
| ~ spl16_4
| spl16_20
| ~ spl16_22
| ~ spl16_44
| ~ spl16_206 ),
inference(forward_subsumption_resolution,[],[f64890,f15]) ).
fof(f64892,plain,
( ~ spl16_4
| spl16_20
| ~ spl16_22
| ~ spl16_44
| ~ spl16_206 ),
inference(avatar_contradiction_clause,[],[f64891]) ).
fof(f65008,plain,
( ! [X0] :
( sK1 != X0
| ~ big_f(sK1,sK9(sK1))
| sK1 != sK9(sK1)
| sK2 = X0 )
| ~ spl16_9
| ~ spl16_475 ),
inference(superposition,[],[f79,f64454]) ).
fof(f65015,plain,
( big_f(sK2,sK1)
| sK1 = sK3(sK6)
| ~ spl16_15
| spl16_110
| ~ spl16_120 ),
inference(superposition,[],[f63016,f14]) ).
fof(f65206,plain,
( sK12 = sK5(sK1)
| sK1 = sK14(sK5(sK1),sK2)
| ~ spl16_3
| ~ spl16_178 ),
inference(resolution,[],[f1365,f8474]) ).
fof(f65250,plain,
( ! [X0] :
( big_f(sK1,X0)
| sK6 = X0
| sK1 = X0 )
| ~ spl16_16
| ~ spl16_28
| spl16_199 ),
inference(superposition,[],[f61043,f62610]) ).
fof(f65332,plain,
( ! [X0] :
( big_f(sK1,X0)
| sK1 = X0 )
| ~ spl16_16
| ~ spl16_28
| spl16_83
| spl16_199 ),
inference(forward_subsumption_resolution,[],[f65250,f34792]) ).
fof(f65344,plain,
( spl16_206
| ~ spl16_16
| ~ spl16_28
| spl16_83
| spl16_199 ),
inference(avatar_split_clause,[],[f65332,f8660,f1859,f503,f107,f9104]) ).
fof(f65473,plain,
( sK1 = sK5(sK1)
| sK1 = sK2
| ~ spl16_14
| ~ spl16_33
| ~ spl16_58
| ~ spl16_224
| ~ spl16_239 ),
inference(forward_subsumption_resolution,[],[f61948,f58829]) ).
fof(f65508,plain,
( sK1 = sK2
| ~ spl16_14
| ~ spl16_33
| spl16_35
| ~ spl16_58
| ~ spl16_224
| ~ spl16_239 ),
inference(forward_subsumption_resolution,[],[f65473,f535]) ).
fof(f65529,plain,
( $false
| ~ spl16_14
| ~ spl16_33
| spl16_35
| ~ spl16_58
| ~ spl16_224
| ~ spl16_239 ),
inference(forward_subsumption_resolution,[],[f65508,f15]) ).
fof(f65530,plain,
( ~ spl16_14
| ~ spl16_33
| spl16_35
| ~ spl16_58
| ~ spl16_224
| ~ spl16_239 ),
inference(avatar_contradiction_clause,[],[f65529]) ).
fof(f65536,plain,
( big_f(sK1,sK1)
| ~ spl16_378
| ~ spl16_474 ),
inference(forward_demodulation,[],[f64393,f57081]) ).
fof(f65572,plain,
( sK1 = sK3(sK6)
| ~ spl16_15
| spl16_41
| spl16_110
| ~ spl16_120 ),
inference(forward_subsumption_resolution,[],[f65015,f567]) ).
fof(f65622,plain,
( sK1 = sK3(sK6)
| ~ spl16_43
| spl16_83
| spl16_91
| ~ spl16_139 ),
inference(forward_subsumption_resolution,[],[f41235,f6387]) ).
fof(f65668,plain,
( ! [X0] :
( sK1 = sK3(X0)
| sK1 = X0 )
| ~ spl16_57 ),
inference(superposition,[],[f1242,f14]) ).
fof(f65685,plain,
( spl16_463
| ~ spl16_57 ),
inference(avatar_split_clause,[],[f65668,f1240,f63999]) ).
fof(f66174,plain,
( sK2 != sK12
| ~ spl16_22
| ~ spl16_44
| spl16_321 ),
inference(forward_demodulation,[],[f29071,f63162]) ).
fof(f66178,plain,
( sK2 = sK6
| ~ spl16_322
| ~ spl16_323 ),
inference(forward_demodulation,[],[f29076,f29093]) ).
fof(f66179,plain,
( spl16_379
| ~ spl16_5
| ~ spl16_38
| ~ spl16_322 ),
inference(avatar_split_clause,[],[f30523,f29074,f554,f61,f57083]) ).
fof(f66209,plain,
( sK6 = sK12
| sK1 = sK6
| ~ spl16_2
| ~ spl16_14
| ~ spl16_15
| spl16_26
| ~ spl16_57
| ~ spl16_134 ),
inference(forward_subsumption_resolution,[],[f5858,f4008]) ).
fof(f66224,plain,
( $false
| ~ spl16_22
| ~ spl16_44
| spl16_321
| ~ spl16_323 ),
inference(forward_subsumption_resolution,[],[f66174,f29093]) ).
fof(f66225,plain,
( ~ spl16_22
| ~ spl16_44
| spl16_321
| ~ spl16_323 ),
inference(avatar_contradiction_clause,[],[f66224]) ).
fof(f66226,plain,
( $false
| spl16_83
| ~ spl16_322
| ~ spl16_323 ),
inference(forward_subsumption_resolution,[],[f66178,f1860]) ).
fof(f66227,plain,
( spl16_83
| ~ spl16_322
| ~ spl16_323 ),
inference(avatar_contradiction_clause,[],[f66226]) ).
fof(f66236,plain,
( sK6 = sK12
| ~ spl16_2
| ~ spl16_14
| ~ spl16_15
| spl16_26
| ~ spl16_57
| ~ spl16_134
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f66209,f8495]) ).
fof(f66338,plain,
( spl16_474
| ~ spl16_7
| ~ spl16_196 ),
inference(avatar_split_clause,[],[f11646,f8567,f70,f64391]) ).
fof(f66479,plain,
( spl16_50
| ~ spl16_5
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f163,f142,f61,f638]) ).
fof(f66480,plain,
( spl16_49
| ~ spl16_4
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f164,f142,f57,f634]) ).
fof(f66514,plain,
( spl16_184
| ~ spl16_39
| ~ spl16_16
| ~ spl16_17
| spl16_26
| ~ spl16_28 ),
inference(avatar_split_clause,[],[f62109,f503,f305,f111,f107,f557,f8505]) ).
fof(f66812,plain,
( $false
| spl16_83
| ~ spl16_110
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f53162,f8495]) ).
fof(f66813,plain,
( spl16_83
| ~ spl16_110
| spl16_182 ),
inference(avatar_contradiction_clause,[],[f66812]) ).
fof(f67681,plain,
( ! [X0] :
( big_f(X0,sK1)
| sK1 = sK11(sK2)
| sK1 = X0 )
| ~ spl16_474 ),
inference(superposition,[],[f64393,f118]) ).
fof(f67706,plain,
( ! [X0] :
( big_f(X0,sK1)
| sK1 = X0 )
| ~ spl16_10
| spl16_83
| ~ spl16_252 ),
inference(forward_subsumption_resolution,[],[f59407,f34792]) ).
fof(f67710,plain,
( ! [X0] :
( big_f(X0,sK1)
| sK1 = X0 )
| spl16_378
| ~ spl16_474 ),
inference(forward_subsumption_resolution,[],[f67681,f57080]) ).
fof(f67718,plain,
( spl16_54
| ~ spl16_10
| spl16_83
| ~ spl16_252 ),
inference(avatar_split_clause,[],[f67706,f13984,f1859,f82,f721]) ).
fof(f67719,plain,
( spl16_54
| spl16_378
| ~ spl16_474 ),
inference(avatar_split_clause,[],[f67710,f64391,f57079,f721]) ).
fof(f67991,plain,
( ! [X0] :
( sK1 != sK1
| big_f(sK10(sK1,X0),sK1)
| sK10(sK1,X0) = X0 )
| ~ spl16_8
| ~ spl16_388 ),
inference(superposition,[],[f75,f58033]) ).
fof(f68105,plain,
( spl16_251
| ~ spl16_2
| ~ spl16_20
| ~ spl16_70 ),
inference(avatar_split_clause,[],[f1787,f1580,f142,f49,f13981]) ).
fof(f68549,plain,
( sK12 = sK5(sK1)
| ~ spl16_14
| ~ spl16_19
| ~ spl16_33 ),
inference(resolution,[],[f1422,f138]) ).
fof(f68550,plain,
( sK2 = sK5(sK1)
| sK1 = sK2
| ~ spl16_14
| ~ spl16_24
| ~ spl16_33 ),
inference(resolution,[],[f1422,f54323]) ).
fof(f68551,plain,
( sK2 = sK5(sK1)
| sK1 = sK2
| ~ spl16_14
| ~ spl16_33
| ~ spl16_187 ),
inference(resolution,[],[f1422,f8517]) ).
fof(f68553,plain,
( ! [X0,X1] :
( ~ big_f(X0,X1)
| sK5(sK1) = X1
| sK1 = X0 )
| ~ spl16_14
| ~ spl16_33 ),
inference(superposition,[],[f1422,f14]) ).
fof(f68560,plain,
( ! [X0,X1] :
( sK1 = X1
| ~ big_f(X0,X1)
| sK1 = X0 )
| ~ spl16_14
| ~ spl16_33
| ~ spl16_35 ),
inference(forward_demodulation,[],[f68553,f536]) ).
fof(f68562,plain,
( sK2 = sK5(sK1)
| ~ spl16_14
| ~ spl16_33
| ~ spl16_187 ),
inference(forward_subsumption_resolution,[],[f68551,f15]) ).
fof(f68563,plain,
( sK2 = sK5(sK1)
| ~ spl16_14
| ~ spl16_24
| ~ spl16_33 ),
inference(forward_subsumption_resolution,[],[f68550,f15]) ).
fof(f68572,plain,
( sK1 = sK2
| ~ spl16_14
| ~ spl16_33
| ~ spl16_35
| ~ spl16_187 ),
inference(forward_demodulation,[],[f68562,f536]) ).
fof(f68573,plain,
( sK1 = sK2
| ~ spl16_14
| ~ spl16_24
| ~ spl16_33
| ~ spl16_35 ),
inference(forward_demodulation,[],[f68563,f536]) ).
fof(f68579,plain,
( $false
| ~ spl16_14
| ~ spl16_33
| ~ spl16_35
| ~ spl16_187 ),
inference(forward_subsumption_resolution,[],[f68572,f15]) ).
fof(f68580,plain,
( ~ spl16_14
| ~ spl16_33
| ~ spl16_35
| ~ spl16_187 ),
inference(avatar_contradiction_clause,[],[f68579]) ).
fof(f68581,plain,
( $false
| ~ spl16_14
| ~ spl16_24
| ~ spl16_33
| ~ spl16_35 ),
inference(forward_subsumption_resolution,[],[f68573,f15]) ).
fof(f68582,plain,
( ~ spl16_14
| ~ spl16_24
| ~ spl16_33
| ~ spl16_35 ),
inference(avatar_contradiction_clause,[],[f68581]) ).
fof(f68751,definition,
( spl16_508
<=> sK1 = sK8(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl16_508])],[avatar_definition]) ).
fof(f68752,plain,
( sK1 != sK8(sK1,sK2)
| spl16_508 ),
inference(avatar_component_clause,[],[f68751]) ).
fof(f68753,plain,
( sK1 = sK8(sK1,sK2)
| ~ spl16_508 ),
inference(avatar_component_clause,[],[f68751]) ).
fof(f69123,plain,
( sK1 != sK1
| sK1 = sK6
| spl16_418
| ~ spl16_463 ),
inference(superposition,[],[f59224,f64000]) ).
fof(f69131,plain,
( sK1 = sK6
| spl16_418
| ~ spl16_463 ),
inference(trivial_inequality_removal,[],[f69123]) ).
fof(f69132,plain,
( $false
| spl16_182
| spl16_418
| ~ spl16_463 ),
inference(forward_subsumption_resolution,[],[f69131,f8495]) ).
fof(f69133,plain,
( spl16_182
| spl16_418
| ~ spl16_463 ),
inference(avatar_contradiction_clause,[],[f69132]) ).
fof(f70485,plain,
( sK1 != sK1
| sK1 = sK2
| spl16_388
| ~ spl16_402 ),
inference(superposition,[],[f58034,f58115]) ).
fof(f70490,plain,
( ! [X0] :
( sK1 != sK1
| sK9(sK1) = X0
| sK1 = X0 )
| spl16_388 ),
inference(superposition,[],[f58034,f118]) ).
fof(f70492,plain,
( ! [X0] :
( sK9(sK1) = X0
| sK1 = X0 )
| spl16_388 ),
inference(trivial_inequality_removal,[],[f70490]) ).
fof(f70494,plain,
( sK1 = sK2
| spl16_388
| ~ spl16_402 ),
inference(trivial_inequality_removal,[],[f70485]) ).
fof(f70495,plain,
( spl16_375
| spl16_388 ),
inference(avatar_split_clause,[],[f70492,f58032,f57025]) ).
fof(f70496,plain,
( $false
| spl16_388
| ~ spl16_402 ),
inference(forward_subsumption_resolution,[],[f70494,f15]) ).
fof(f70497,plain,
( spl16_388
| ~ spl16_402 ),
inference(avatar_contradiction_clause,[],[f70496]) ).
fof(f70513,plain,
( ! [X0] :
( sK2 = X0
| sK1 = sK9(X0) )
| ~ spl16_7
| spl16_26
| ~ spl16_175 ),
inference(forward_subsumption_resolution,[],[f38533,f307]) ).
fof(f70514,plain,
( spl16_402
| ~ spl16_7
| spl16_26
| ~ spl16_175 ),
inference(avatar_split_clause,[],[f70513,f8443,f305,f70,f58114]) ).
fof(f70849,plain,
( sK1 = sK2
| sK6 = sK11(sK1)
| ~ spl16_6
| ~ spl16_81
| ~ spl16_375 ),
inference(resolution,[],[f58028,f1706]) ).
fof(f70864,plain,
( sK6 = sK11(sK1)
| ~ spl16_6
| ~ spl16_81
| ~ spl16_375 ),
inference(forward_subsumption_resolution,[],[f70849,f15]) ).
fof(f70918,plain,
( spl16_123
| ~ spl16_17
| ~ spl16_26
| ~ spl16_28 ),
inference(avatar_split_clause,[],[f62293,f503,f305,f111,f4715]) ).
fof(f70950,plain,
( ~ spl16_123
| ~ spl16_108
| spl16_464 ),
inference(avatar_split_clause,[],[f64371,f64015,f3412,f4715]) ).
fof(f71070,plain,
( sK1 = sK3(sK2)
| ~ spl16_25
| spl16_258 ),
inference(forward_subsumption_resolution,[],[f62807,f14568]) ).
fof(f71111,plain,
( ! [X0] :
( sK2 = X0
| sK1 = sK10(sK1,X0) )
| spl16_41
| ~ spl16_376 ),
inference(forward_subsumption_resolution,[],[f64483,f567]) ).
fof(f71231,plain,
( $false
| ~ spl16_25
| spl16_57
| spl16_258 ),
inference(forward_subsumption_resolution,[],[f71070,f1241]) ).
fof(f71232,plain,
( ~ spl16_25
| spl16_57
| spl16_258 ),
inference(avatar_contradiction_clause,[],[f71231]) ).
fof(f71253,plain,
( spl16_475
| spl16_41
| ~ spl16_376 ),
inference(avatar_split_clause,[],[f71111,f57028,f566,f64453]) ).
fof(f71774,plain,
( ! [X0] :
( sK8(X0,X0) = X0
| sK1 = X0 )
| ~ spl16_283 ),
inference(superposition,[],[f16915,f14]) ).
fof(f71808,plain,
( big_f(sK1,sK1)
| sK1 = sK6
| sK1 = sK2
| ~ spl16_10
| ~ spl16_508 ),
inference(superposition,[],[f83,f68753]) ).
fof(f72369,plain,
( ! [X0] :
( X0 != X0
| ~ big_f(X0,X0)
| sK6 = X0
| sK1 = X0 )
| ~ spl16_11
| ~ spl16_283 ),
inference(superposition,[],[f87,f71774]) ).
fof(f72371,plain,
( ! [X0] :
( ~ big_f(X0,X0)
| sK6 = X0
| sK1 = X0 )
| ~ spl16_11
| ~ spl16_283 ),
inference(trivial_inequality_removal,[],[f72369]) ).
fof(f72374,plain,
( ! [X0] :
( ~ big_f(X0,X0)
| sK1 = X0 )
| ~ spl16_11
| spl16_83
| ~ spl16_283 ),
inference(forward_subsumption_resolution,[],[f72371,f34792]) ).
fof(f72378,plain,
( sK1 = sK6
| sK1 = sK6
| ~ spl16_11
| ~ spl16_80
| spl16_83
| ~ spl16_283 ),
inference(resolution,[],[f72374,f1700]) ).
fof(f72379,plain,
( sK1 = sK6
| ~ spl16_11
| ~ spl16_80
| spl16_83
| ~ spl16_283 ),
inference(duplicate_literal_removal,[],[f72378]) ).
fof(f72381,plain,
( $false
| ~ spl16_11
| ~ spl16_80
| spl16_83
| spl16_182
| ~ spl16_283 ),
inference(forward_subsumption_resolution,[],[f72379,f8495]) ).
fof(f72382,plain,
( ~ spl16_11
| ~ spl16_80
| spl16_83
| spl16_182
| ~ spl16_283 ),
inference(avatar_contradiction_clause,[],[f72381]) ).
fof(f72401,plain,
( spl16_184
| spl16_323
| ~ spl16_3
| ~ spl16_26
| ~ spl16_251 ),
inference(avatar_split_clause,[],[f63735,f13981,f305,f53,f29091,f8505]) ).
fof(f72402,plain,
( sK1 = sK12
| sK1 = sK14(sK5(sK1),sK2)
| ~ spl16_3
| ~ spl16_35
| ~ spl16_178 ),
inference(forward_demodulation,[],[f65206,f536]) ).
fof(f72404,plain,
( ! [X9] :
( sK1 = X9
| ~ big_f(X9,sK2) )
| ~ spl16_4
| ~ spl16_18
| ~ spl16_323 ),
inference(forward_demodulation,[],[f42556,f134]) ).
fof(f72418,plain,
( ! [X0] :
( ~ big_f(sK2,sK1)
| sK2 = X0 )
| ~ spl16_17
| spl16_24
| ~ spl16_58
| ~ spl16_108 ),
inference(forward_demodulation,[],[f21701,f3414]) ).
fof(f72445,plain,
( spl16_120
| ~ spl16_91
| spl16_284 ),
inference(avatar_split_clause,[],[f29408,f17272,f2736,f4088]) ).
fof(f72513,plain,
( sK1 = sK14(sK5(sK1),sK2)
| ~ spl16_3
| spl16_20
| ~ spl16_35
| ~ spl16_178 ),
inference(forward_subsumption_resolution,[],[f72402,f143]) ).
fof(f72515,plain,
( spl16_70
| ~ spl16_4
| ~ spl16_18
| ~ spl16_323 ),
inference(avatar_split_clause,[],[f72404,f29091,f132,f57,f1580]) ).
fof(f72523,plain,
( ! [X0] : sK2 = X0
| ~ spl16_17
| spl16_24
| ~ spl16_41
| ~ spl16_58
| ~ spl16_108 ),
inference(forward_subsumption_resolution,[],[f72418,f568]) ).
fof(f72562,plain,
( sK1 = sK14(sK1,sK2)
| ~ spl16_3
| spl16_20
| ~ spl16_35
| ~ spl16_178 ),
inference(forward_demodulation,[],[f72513,f536]) ).
fof(f72564,plain,
( spl16_184
| ~ spl16_17
| spl16_24
| ~ spl16_41
| ~ spl16_58
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f72523,f3412,f1244,f566,f297,f111,f8505]) ).
fof(f72606,plain,
( spl16_418
| ~ spl16_43
| spl16_83
| spl16_91
| ~ spl16_139 ),
inference(avatar_split_clause,[],[f65622,f6386,f2736,f1859,f585,f59223]) ).
fof(f72659,plain,
( sK1 = sK4(sK1,sK1)
| ~ spl16_57
| ~ spl16_464 ),
inference(forward_demodulation,[],[f64016,f1242]) ).
fof(f72671,plain,
( $false
| spl16_39
| ~ spl16_378
| ~ spl16_474 ),
inference(forward_subsumption_resolution,[],[f65536,f558]) ).
fof(f72672,plain,
( spl16_39
| ~ spl16_378
| ~ spl16_474 ),
inference(avatar_contradiction_clause,[],[f72671]) ).
fof(f72673,plain,
( ! [X0,X1] :
( sK10(sK1,X0) = X1
| sK1 = X0
| sK1 = X1 )
| spl16_39
| ~ spl16_376 ),
inference(forward_subsumption_resolution,[],[f64487,f558]) ).
fof(f72700,plain,
( $false
| ~ spl16_57
| spl16_72
| ~ spl16_464 ),
inference(forward_subsumption_resolution,[],[f72659,f1613]) ).
fof(f72701,plain,
( ~ spl16_57
| spl16_72
| ~ spl16_464 ),
inference(avatar_contradiction_clause,[],[f72700]) ).
fof(f72930,plain,
( ! [X0,X1] :
( big_f(sK2,X0)
| sK12 = X0
| sK2 = X1
| sK1 = sK14(X0,X1) )
| ~ spl16_2 ),
inference(superposition,[],[f50,f14]) ).
fof(f72956,plain,
( ! [X0] :
( sK5(X0) = X0
| sK1 = X0 )
| ~ spl16_107 ),
inference(superposition,[],[f3410,f14]) ).
fof(f73053,definition,
( spl16_521
<=> sK1 = sK10(sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl16_521])],[avatar_definition]) ).
fof(f73054,plain,
( sK1 != sK10(sK1,sK1)
| spl16_521 ),
inference(avatar_component_clause,[],[f73053]) ).
fof(f73055,plain,
( sK1 = sK10(sK1,sK1)
| ~ spl16_521 ),
inference(avatar_component_clause,[],[f73053]) ).
fof(f73091,plain,
( big_f(sK1,sK1)
| sK1 = sK12
| sK1 = sK2
| ~ spl16_2
| ~ spl16_3
| spl16_20
| ~ spl16_35
| ~ spl16_178 ),
inference(superposition,[],[f50,f72562]) ).
fof(f73094,plain,
( sK1 = sK12
| sK1 = sK2
| ~ spl16_2
| ~ spl16_3
| spl16_20
| ~ spl16_35
| spl16_39
| ~ spl16_178 ),
inference(forward_subsumption_resolution,[],[f73091,f558]) ).
fof(f73097,plain,
( sK1 = sK2
| ~ spl16_2
| ~ spl16_3
| spl16_20
| ~ spl16_35
| spl16_39
| ~ spl16_178 ),
inference(forward_subsumption_resolution,[],[f73094,f143]) ).
fof(f73098,plain,
( $false
| ~ spl16_2
| ~ spl16_3
| spl16_20
| ~ spl16_35
| spl16_39
| ~ spl16_178 ),
inference(forward_subsumption_resolution,[],[f73097,f15]) ).
fof(f73099,plain,
( ~ spl16_2
| ~ spl16_3
| spl16_20
| ~ spl16_35
| spl16_39
| ~ spl16_178 ),
inference(avatar_contradiction_clause,[],[f73098]) ).
fof(f73103,plain,
( spl16_20
| ~ spl16_19
| spl16_24 ),
inference(avatar_split_clause,[],[f36051,f297,f136,f142]) ).
fof(f73160,plain,
( ! [X0,X1] :
( sK1 = X0
| big_f(sK2,X0)
| sK2 = X1
| sK1 = sK14(X0,X1) )
| ~ spl16_2
| ~ spl16_20 ),
inference(forward_demodulation,[],[f72930,f144]) ).
fof(f73164,plain,
( ! [X0] :
( big_f(X0,sK2)
| sK2 = sK12
| sK1 = X0 )
| ~ spl16_2
| spl16_83
| spl16_198 ),
inference(forward_subsumption_resolution,[],[f60682,f34792]) ).
fof(f73197,plain,
( ! [X0,X1] :
( sK1 = X0
| sK2 = X1
| sK1 = sK14(X0,X1) )
| ~ spl16_2
| ~ spl16_14
| ~ spl16_20
| ~ spl16_33
| ~ spl16_35 ),
inference(forward_subsumption_resolution,[],[f73160,f1426]) ).
fof(f73201,plain,
( ! [X0] :
( sK1 = sK2
| big_f(X0,sK2)
| sK1 = X0 )
| ~ spl16_2
| ~ spl16_20
| spl16_83
| spl16_198 ),
inference(forward_demodulation,[],[f73164,f144]) ).
fof(f73214,plain,
( ! [X0] :
( sK1 = sK2
| sK1 = X0 )
| ~ spl16_2
| ~ spl16_14
| ~ spl16_20
| ~ spl16_33
| ~ spl16_35
| spl16_83
| spl16_198 ),
inference(forward_subsumption_resolution,[],[f73201,f68560]) ).
fof(f73220,plain,
( ! [X0] : sK1 = X0
| ~ spl16_2
| ~ spl16_14
| ~ spl16_20
| ~ spl16_33
| ~ spl16_35
| spl16_83
| spl16_198 ),
inference(forward_subsumption_resolution,[],[f73214,f15]) ).
fof(f73222,plain,
( spl16_56
| ~ spl16_2
| ~ spl16_14
| ~ spl16_20
| ~ spl16_33
| ~ spl16_35
| spl16_83
| spl16_198 ),
inference(avatar_split_clause,[],[f73220,f8584,f1859,f534,f526,f142,f99,f49,f874]) ).
fof(f74068,plain,
( sK6 = sK5(sK2)
| ~ spl16_14
| ~ spl16_57
| ~ spl16_139 ),
inference(resolution,[],[f1264,f6387]) ).
fof(f74074,plain,
( $false
| ~ spl16_14
| ~ spl16_57
| spl16_102
| ~ spl16_139 ),
inference(forward_subsumption_resolution,[],[f74068,f3148]) ).
fof(f74075,plain,
( ~ spl16_14
| ~ spl16_57
| spl16_102
| ~ spl16_139 ),
inference(avatar_contradiction_clause,[],[f74074]) ).
fof(f74128,plain,
( $false
| ~ spl16_14
| spl16_28
| spl16_84
| ~ spl16_379 ),
inference(forward_subsumption_resolution,[],[f62881,f504]) ).
fof(f74129,plain,
( ~ spl16_14
| spl16_28
| spl16_84
| ~ spl16_379 ),
inference(avatar_contradiction_clause,[],[f74128]) ).
fof(f74249,plain,
( ~ big_f(sK6,sK6)
| ~ spl16_83
| spl16_284 ),
inference(forward_demodulation,[],[f17274,f1861]) ).
fof(f74418,plain,
( ! [X0] :
( sK6 = X0
| sK1 = X0 )
| ~ spl16_83 ),
inference(superposition,[],[f14,f1861]) ).
fof(f74460,plain,
( spl16_202
| ~ spl16_83 ),
inference(avatar_split_clause,[],[f74418,f1859,f8972]) ).
fof(f74473,plain,
( ! [X2,X0,X1] :
( X0 = X1
| X1 = X2
| X0 = X2
| sK6 = X0 )
| ~ spl16_202 ),
inference(superposition,[],[f118,f8973]) ).
fof(f74540,plain,
( ! [X0,X1] :
( sK3(X0) != X0
| ~ big_f(sK3(X0),sK1)
| sK1 != X1
| sK6 = sK4(X0,X1) )
| ~ spl16_17
| ~ spl16_202 ),
inference(superposition,[],[f112,f8973]) ).
fof(f74989,plain,
( ! [X0] :
( big_f(sK3(X0),X0)
| sK3(X0) = X0
| sK1 = X0 )
| ~ spl16_15
| ~ spl16_107 ),
inference(superposition,[],[f104,f72956]) ).
fof(f75195,plain,
( sK1 = sK6
| sK1 = sK8(sK1,sK2)
| ~ spl16_11
| ~ spl16_26 ),
inference(resolution,[],[f306,f7379]) ).
fof(f75199,plain,
( big_f(sK1,sK6)
| ~ spl16_26
| ~ spl16_83 ),
inference(superposition,[],[f306,f1861]) ).
fof(f75212,plain,
( ! [X0] :
( big_f(sK1,X0)
| sK1 = X0
| sK1 = X0
| sK1 = X0 )
| ~ spl16_15
| ~ spl16_107
| ~ spl16_463 ),
inference(superposition,[],[f74989,f64000]) ).
fof(f75228,plain,
( ! [X0] :
( big_f(sK1,X0)
| sK1 = X0 )
| ~ spl16_15
| ~ spl16_107
| ~ spl16_463 ),
inference(duplicate_literal_removal,[],[f75212]) ).
fof(f76622,definition,
( spl16_533
<=> sK6 = sK4(sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl16_533])],[avatar_definition]) ).
fof(f76623,plain,
( sK6 != sK4(sK1,sK1)
| spl16_533 ),
inference(avatar_component_clause,[],[f76622]) ).
fof(f76624,plain,
( sK6 = sK4(sK1,sK1)
| ~ spl16_533 ),
inference(avatar_component_clause,[],[f76622]) ).
fof(f76628,definition,
( spl16_534
<=> big_f(sK1,sK4(sK1,sK1)) ),
introduced(definition,[new_symbols(definition,[spl16_534])],[avatar_definition]) ).
fof(f76629,plain,
( ~ big_f(sK1,sK4(sK1,sK1))
| spl16_534 ),
inference(avatar_component_clause,[],[f76628]) ).
fof(f76630,plain,
( big_f(sK1,sK4(sK1,sK1))
| ~ spl16_534 ),
inference(avatar_component_clause,[],[f76628]) ).
fof(f76792,plain,
( ! [X0,X1] :
( sK1 = sK14(X0,X1)
| sK1 = X0
| sK6 = X1 )
| ~ spl16_2
| ~ spl16_14
| ~ spl16_20
| ~ spl16_33
| ~ spl16_35
| ~ spl16_83 ),
inference(forward_demodulation,[],[f73197,f1861]) ).
fof(f79345,plain,
( ! [X0] :
( ~ big_f(sK2,sK1)
| sK4(sK1,sK6) = X0
| sK1 = X0 )
| spl16_233 ),
inference(superposition,[],[f11536,f118]) ).
fof(f79351,plain,
( ! [X0] :
( sK4(sK1,sK6) = X0
| sK1 = X0 )
| ~ spl16_41
| spl16_233 ),
inference(forward_subsumption_resolution,[],[f79345,f568]) ).
fof(f79363,plain,
( ! [X0] :
( sK1 = X0
| sK1 = X0 )
| ~ spl16_41
| ~ spl16_199
| spl16_233 ),
inference(forward_demodulation,[],[f79351,f8662]) ).
fof(f79364,plain,
( ! [X0] : sK1 = X0
| ~ spl16_41
| ~ spl16_199
| spl16_233 ),
inference(duplicate_literal_removal,[],[f79363]) ).
fof(f79374,plain,
( spl16_56
| ~ spl16_41
| ~ spl16_199
| spl16_233 ),
inference(avatar_split_clause,[],[f79364,f11534,f8660,f566,f874]) ).
fof(f79793,plain,
( sK1 = sK12
| sK1 = sK14(sK1,sK2)
| ~ spl16_3
| ~ spl16_41 ),
inference(resolution,[],[f568,f1365]) ).
fof(f80065,plain,
( ! [X0,X1] :
( sK1 != X1
| ~ big_f(sK1,X0)
| sK12 = X0
| sK1 = X0
| sK6 = X1 )
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_20
| ~ spl16_33
| ~ spl16_35
| ~ spl16_83 ),
inference(superposition,[],[f54,f76792]) ).
fof(f80072,plain,
( ! [X0,X1] :
( ~ big_f(sK1,X0)
| sK12 = X0
| sK1 = X0
| sK6 = X1 )
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_20
| ~ spl16_33
| ~ spl16_35
| ~ spl16_83
| ~ spl16_202 ),
inference(forward_subsumption_resolution,[],[f80065,f8973]) ).
fof(f80074,plain,
( ! [X0,X1] :
( sK12 = X0
| sK1 = X0
| sK6 = X1 )
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_20
| ~ spl16_33
| ~ spl16_35
| ~ spl16_83
| ~ spl16_202
| ~ spl16_206 ),
inference(forward_subsumption_resolution,[],[f80072,f9105]) ).
fof(f80075,plain,
( ! [X0,X1] :
( sK1 = X0
| sK1 = X0
| sK6 = X1 )
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_20
| ~ spl16_33
| ~ spl16_35
| ~ spl16_83
| ~ spl16_202
| ~ spl16_206 ),
inference(forward_demodulation,[],[f80074,f144]) ).
fof(f80076,plain,
( ! [X0,X1] :
( sK1 = X0
| sK6 = X1 )
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_20
| ~ spl16_33
| ~ spl16_35
| ~ spl16_83
| ~ spl16_202
| ~ spl16_206 ),
inference(duplicate_literal_removal,[],[f80075]) ).
fof(f80077,plain,
( spl16_96
| spl16_56
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_20
| ~ spl16_33
| ~ spl16_35
| ~ spl16_83
| ~ spl16_202
| ~ spl16_206 ),
inference(avatar_split_clause,[],[f80076,f9104,f8972,f1859,f534,f526,f142,f99,f53,f49,f874,f3071]) ).
fof(f80126,plain,
( ! [X0] :
( ~ big_f(sK1,sK6)
| sK2 = X0 )
| ~ spl16_9
| spl16_24
| ~ spl16_83
| ~ spl16_157
| ~ spl16_237 ),
inference(forward_demodulation,[],[f11932,f1861]) ).
fof(f80217,plain,
( ~ big_f(sK1,sK6)
| spl16_26
| ~ spl16_83 ),
inference(forward_demodulation,[],[f307,f1861]) ).
fof(f80365,plain,
( sK1 != sK8(sK1,sK6)
| ~ spl16_83
| spl16_508 ),
inference(forward_demodulation,[],[f68752,f1861]) ).
fof(f80461,definition,
( spl16_559
<=> ! [X1] :
( sK14(sK1,X1) = X1
| sK1 = sK14(sK1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl16_559])],[avatar_definition]) ).
fof(f80462,plain,
( ! [X1] :
( sK14(sK1,X1) = X1
| sK1 = sK14(sK1,X1) )
| ~ spl16_559 ),
inference(avatar_component_clause,[],[f80461]) ).
fof(f80554,plain,
( ! [X0] : sK2 = X0
| ~ spl16_9
| spl16_24
| ~ spl16_83
| ~ spl16_139
| ~ spl16_157
| ~ spl16_237 ),
inference(forward_subsumption_resolution,[],[f80126,f6387]) ).
fof(f80695,definition,
( spl16_564
<=> ! [X0] :
( sK1 = X0
| ~ big_f(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_564])],[avatar_definition]) ).
fof(f80696,plain,
( ! [X0] :
( ~ big_f(sK1,X0)
| sK1 = X0 )
| ~ spl16_564 ),
inference(avatar_component_clause,[],[f80695]) ).
fof(f80776,plain,
( ! [X0] : sK6 = X0
| ~ spl16_9
| spl16_24
| ~ spl16_83
| ~ spl16_139
| ~ spl16_157
| ~ spl16_237 ),
inference(forward_demodulation,[],[f80554,f1861]) ).
fof(f80856,plain,
( spl16_96
| ~ spl16_9
| spl16_24
| ~ spl16_83
| ~ spl16_139
| ~ spl16_157
| ~ spl16_237 ),
inference(avatar_split_clause,[],[f80776,f11592,f8211,f6386,f1859,f297,f78,f3071]) ).
fof(f81167,plain,
( ~ big_f(sK1,sK6)
| ~ spl16_533
| spl16_534 ),
inference(forward_demodulation,[],[f76629,f76624]) ).
fof(f81176,plain,
( sK1 = sK7(sK6)
| sK1 = sK6
| ~ spl16_12
| ~ spl16_54 ),
inference(resolution,[],[f91,f722]) ).
fof(f81220,plain,
( big_f(sK6,sK2)
| sK1 = sK7(sK6)
| ~ spl16_13 ),
inference(superposition,[],[f96,f14]) ).
fof(f81231,plain,
( ! [X0,X1] :
( X0 != X1
| ~ big_f(X0,sK9(sK1))
| sK1 != sK9(sK1)
| sK1 = X1
| sK1 = X0 )
| ~ spl16_9
| spl16_39
| ~ spl16_376 ),
inference(superposition,[],[f79,f72673]) ).
fof(f81236,plain,
( sK1 != sK1
| ~ big_f(sK1,sK9(sK1))
| sK1 != sK9(sK1)
| ~ spl16_9
| ~ spl16_521 ),
inference(superposition,[],[f79,f73055]) ).
fof(f81244,plain,
( ! [X2,X0,X1] :
( sK9(X0) != X0
| ~ big_f(sK1,sK9(X0))
| sK1 != X1
| sK10(X0,X1) = X2
| sK1 = X2 )
| ~ spl16_9 ),
inference(superposition,[],[f79,f118]) ).
fof(f81251,plain,
( ~ big_f(sK1,sK9(sK1))
| sK1 != sK9(sK1)
| ~ spl16_9
| ~ spl16_521 ),
inference(trivial_inequality_removal,[],[f81236]) ).
fof(f81445,plain,
( ! [X0] :
( sK1 = sK8(sK1,X0)
| sK1 = sK6
| sK8(sK1,X0) = X0 )
| ~ spl16_10
| ~ spl16_564 ),
inference(resolution,[],[f80696,f83]) ).
fof(f81450,plain,
( ! [X0] :
( sK1 = sK8(sK1,X0)
| sK8(sK1,X0) = X0 )
| ~ spl16_10
| spl16_182
| ~ spl16_564 ),
inference(forward_subsumption_resolution,[],[f81445,f8495]) ).
fof(f81709,plain,
( ! [X0,X1] :
( ~ big_f(X0,sK9(sK1))
| sK1 != sK9(sK1)
| sK1 = X1
| sK1 = X0 )
| ~ spl16_9
| spl16_39
| ~ spl16_376 ),
inference(forward_subsumption_resolution,[],[f81231,f118]) ).
fof(f81846,plain,
( ! [X0,X1] :
( ~ big_f(X0,sK9(sK1))
| sK1 = X1
| sK1 = X0 )
| ~ spl16_9
| spl16_39
| ~ spl16_376
| ~ spl16_388 ),
inference(forward_subsumption_resolution,[],[f81709,f58033]) ).
fof(f81941,plain,
( ! [X0,X1] :
( ~ big_f(X0,sK1)
| sK1 = X1
| sK1 = X0 )
| ~ spl16_9
| spl16_39
| ~ spl16_376
| ~ spl16_388 ),
inference(forward_demodulation,[],[f81846,f58033]) ).
fof(f82297,plain,
( big_f(sK6,sK2)
| ~ spl16_13
| spl16_76 ),
inference(forward_subsumption_resolution,[],[f81220,f1682]) ).
fof(f82309,plain,
( spl16_56
| spl16_47
| ~ spl16_9
| spl16_39
| ~ spl16_376
| ~ spl16_388 ),
inference(avatar_split_clause,[],[f81941,f58032,f57028,f557,f78,f621,f874]) ).
fof(f82509,plain,
( big_f(sK6,sK6)
| ~ spl16_13
| spl16_76
| ~ spl16_83 ),
inference(forward_demodulation,[],[f82297,f1861]) ).
fof(f83220,plain,
( $false
| ~ spl16_13
| spl16_76
| ~ spl16_83
| spl16_284 ),
inference(forward_subsumption_resolution,[],[f82509,f74249]) ).
fof(f83221,plain,
( ~ spl16_13
| spl16_76
| ~ spl16_83
| spl16_284 ),
inference(avatar_contradiction_clause,[],[f83220]) ).
fof(f83375,plain,
( sK1 = sK8(sK1,sK2)
| ~ spl16_11
| ~ spl16_26
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f75195,f8495]) ).
fof(f83825,plain,
( sK1 = sK8(sK1,sK6)
| ~ spl16_11
| ~ spl16_26
| ~ spl16_83
| spl16_182 ),
inference(forward_demodulation,[],[f83375,f1861]) ).
fof(f84022,plain,
( $false
| ~ spl16_11
| ~ spl16_26
| ~ spl16_83
| spl16_182
| spl16_508 ),
inference(forward_subsumption_resolution,[],[f83825,f80365]) ).
fof(f84023,plain,
( ~ spl16_11
| ~ spl16_26
| ~ spl16_83
| spl16_182
| spl16_508 ),
inference(avatar_contradiction_clause,[],[f84022]) ).
fof(f84276,plain,
( sK6 = sK7(sK6)
| ~ spl16_12
| ~ spl16_24
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f64464,f8495]) ).
fof(f84333,plain,
( big_f(sK6,sK1)
| ~ spl16_41
| ~ spl16_83 ),
inference(forward_demodulation,[],[f568,f1861]) ).
fof(f84344,plain,
( sK1 = sK7(sK6)
| ~ spl16_12
| ~ spl16_54
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f81176,f8495]) ).
fof(f84968,plain,
( $false
| ~ spl16_41
| spl16_79
| ~ spl16_83 ),
inference(forward_subsumption_resolution,[],[f84333,f1694]) ).
fof(f84969,plain,
( ~ spl16_41
| spl16_79
| ~ spl16_83 ),
inference(avatar_contradiction_clause,[],[f84968]) ).
fof(f84972,plain,
( $false
| ~ spl16_12
| ~ spl16_54
| spl16_76
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f84344,f1682]) ).
fof(f84973,plain,
( ~ spl16_12
| ~ spl16_54
| spl16_76
| spl16_182 ),
inference(avatar_contradiction_clause,[],[f84972]) ).
fof(f85555,plain,
( ! [X10,X7] :
( sK14(X7,X10) != X10
| sK6 = X7
| ~ big_f(sK14(X7,X10),X7) )
| ~ spl16_3
| ~ spl16_83
| ~ spl16_323 ),
inference(forward_demodulation,[],[f50653,f1861]) ).
fof(f85576,plain,
( sK1 = sK14(sK1,sK2)
| ~ spl16_3
| spl16_20
| ~ spl16_41 ),
inference(forward_subsumption_resolution,[],[f79793,f143]) ).
fof(f86032,definition,
( spl16_605
<=> sK6 = sK7(sK6) ),
introduced(definition,[new_symbols(definition,[spl16_605])],[avatar_definition]) ).
fof(f86034,plain,
( sK6 = sK7(sK6)
| ~ spl16_605 ),
inference(avatar_component_clause,[],[f86032]) ).
fof(f87021,plain,
( sK6 = sK12
| ~ spl16_83
| ~ spl16_323 ),
inference(forward_demodulation,[],[f29093,f1861]) ).
fof(f87167,plain,
( sK1 = sK14(sK1,sK6)
| ~ spl16_3
| spl16_20
| ~ spl16_41
| ~ spl16_83 ),
inference(forward_demodulation,[],[f85576,f1861]) ).
fof(f87717,plain,
( spl16_322
| ~ spl16_83
| ~ spl16_323 ),
inference(avatar_split_clause,[],[f87021,f29091,f1859,f29074]) ).
fof(f89289,plain,
( big_f(sK1,sK1)
| sK1 = sK12
| sK1 = sK6
| ~ spl16_2
| ~ spl16_3
| spl16_20
| ~ spl16_41
| ~ spl16_83 ),
inference(superposition,[],[f50,f87167]) ).
fof(f89352,plain,
( sK1 = sK12
| sK1 = sK6
| ~ spl16_2
| ~ spl16_3
| spl16_20
| spl16_39
| ~ spl16_41
| ~ spl16_83 ),
inference(forward_subsumption_resolution,[],[f89289,f558]) ).
fof(f89360,plain,
( sK1 = sK6
| ~ spl16_2
| ~ spl16_3
| spl16_20
| spl16_39
| ~ spl16_41
| ~ spl16_83 ),
inference(forward_subsumption_resolution,[],[f89352,f143]) ).
fof(f89361,plain,
( $false
| ~ spl16_2
| ~ spl16_3
| spl16_20
| spl16_39
| ~ spl16_41
| ~ spl16_83
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f89360,f8495]) ).
fof(f89362,plain,
( ~ spl16_2
| ~ spl16_3
| spl16_20
| spl16_39
| ~ spl16_41
| ~ spl16_83
| spl16_182 ),
inference(avatar_contradiction_clause,[],[f89361]) ).
fof(f89435,plain,
( spl16_605
| ~ spl16_12
| ~ spl16_24
| spl16_182 ),
inference(avatar_split_clause,[],[f84276,f8494,f297,f90,f86032]) ).
fof(f89448,plain,
( spl16_139
| ~ spl16_26
| ~ spl16_83 ),
inference(avatar_split_clause,[],[f75199,f1859,f305,f6386]) ).
fof(f89484,plain,
( sK6 = sK12
| ~ spl16_14
| ~ spl16_19
| ~ spl16_33
| ~ spl16_84 ),
inference(forward_demodulation,[],[f68549,f2221]) ).
fof(f89508,plain,
( spl16_559
| ~ spl16_2
| spl16_20
| ~ spl16_47 ),
inference(avatar_split_clause,[],[f63840,f621,f142,f49,f80461]) ).
fof(f90131,plain,
( sK1 = sK6
| sK1 = sK2
| ~ spl16_10
| spl16_39
| ~ spl16_508 ),
inference(forward_subsumption_resolution,[],[f71808,f558]) ).
fof(f90747,plain,
( sK1 = sK2
| ~ spl16_10
| spl16_39
| spl16_182
| ~ spl16_508 ),
inference(forward_subsumption_resolution,[],[f90131,f8495]) ).
fof(f91013,plain,
( $false
| ~ spl16_10
| spl16_39
| spl16_182
| ~ spl16_508 ),
inference(forward_subsumption_resolution,[],[f90747,f15]) ).
fof(f91014,plain,
( ~ spl16_10
| spl16_39
| spl16_182
| ~ spl16_508 ),
inference(avatar_contradiction_clause,[],[f91013]) ).
fof(f91352,plain,
( ~ spl16_139
| spl16_26
| ~ spl16_83 ),
inference(avatar_split_clause,[],[f80217,f1859,f305,f6386]) ).
fof(f91481,plain,
( ! [X0,X1] :
( sK10(sK6,X0) = X1
| sK1 = X0
| sK1 = X1 )
| ~ spl16_8
| spl16_139
| ~ spl16_150 ),
inference(forward_subsumption_resolution,[],[f16451,f6388]) ).
fof(f93604,definition,
( spl16_626
<=> ! [X1] :
( big_f(sK6,sK4(sK6,X1))
| sK4(sK6,X1) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl16_626])],[avatar_definition]) ).
fof(f93605,plain,
( ! [X1] :
( big_f(sK6,sK4(sK6,X1))
| sK4(sK6,X1) = X1 )
| ~ spl16_626 ),
inference(avatar_component_clause,[],[f93604]) ).
fof(f95373,plain,
( ! [X0] :
( X0 != X0
| ~ big_f(X0,sK1)
| sK1 = sK12
| sK1 = sK14(sK1,X0) )
| ~ spl16_3
| ~ spl16_559 ),
inference(superposition,[],[f54,f80462]) ).
fof(f95379,plain,
( ! [X0] :
( ~ big_f(X0,sK1)
| sK1 = sK12
| sK1 = sK14(sK1,X0) )
| ~ spl16_3
| ~ spl16_559 ),
inference(trivial_inequality_removal,[],[f95373]) ).
fof(f96354,plain,
( sK1 = sK6
| ~ spl16_76
| ~ spl16_605 ),
inference(forward_demodulation,[],[f1683,f86034]) ).
fof(f96445,plain,
( spl16_206
| ~ spl16_15
| ~ spl16_107
| ~ spl16_463 ),
inference(avatar_split_clause,[],[f75228,f63999,f3408,f103,f9104]) ).
fof(f96972,plain,
( ! [X0] :
( ~ big_f(sK1,sK9(sK1))
| sK1 != sK9(sK1)
| sK2 = X0 )
| ~ spl16_9
| ~ spl16_475 ),
inference(forward_subsumption_resolution,[],[f65008,f14]) ).
fof(f96996,plain,
( sK1 = sK6
| ~ spl16_14
| ~ spl16_19
| ~ spl16_20
| ~ spl16_33
| ~ spl16_84 ),
inference(forward_demodulation,[],[f89484,f144]) ).
fof(f97061,plain,
( $false
| ~ spl16_139
| ~ spl16_533
| spl16_534 ),
inference(forward_subsumption_resolution,[],[f81167,f6387]) ).
fof(f97062,plain,
( ~ spl16_139
| ~ spl16_533
| spl16_534 ),
inference(avatar_contradiction_clause,[],[f97061]) ).
fof(f97276,plain,
( $false
| ~ spl16_76
| spl16_182
| ~ spl16_605 ),
inference(forward_subsumption_resolution,[],[f96354,f8495]) ).
fof(f97277,plain,
( ~ spl16_76
| spl16_182
| ~ spl16_605 ),
inference(avatar_contradiction_clause,[],[f97276]) ).
fof(f97550,plain,
( $false
| ~ spl16_14
| ~ spl16_19
| ~ spl16_20
| ~ spl16_33
| ~ spl16_84
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f96996,f8495]) ).
fof(f97551,plain,
( ~ spl16_14
| ~ spl16_19
| ~ spl16_20
| ~ spl16_33
| ~ spl16_84
| spl16_182 ),
inference(avatar_contradiction_clause,[],[f97550]) ).
fof(f97967,plain,
( ! [X0] :
( big_f(sK10(sK1,X0),sK1)
| sK10(sK1,X0) = X0 )
| ~ spl16_8
| ~ spl16_388 ),
inference(trivial_inequality_removal,[],[f67991]) ).
fof(f98119,plain,
( spl16_376
| ~ spl16_8
| ~ spl16_388 ),
inference(avatar_split_clause,[],[f97967,f58032,f74,f57028]) ).
fof(f98183,plain,
( ~ big_f(sK1,sK9(sK1))
| ~ spl16_9
| ~ spl16_388
| ~ spl16_521 ),
inference(forward_subsumption_resolution,[],[f81251,f58033]) ).
fof(f98198,plain,
( ! [X0] :
( ~ big_f(sK1,sK9(sK1))
| sK2 = X0 )
| ~ spl16_9
| ~ spl16_388
| ~ spl16_475 ),
inference(forward_subsumption_resolution,[],[f96972,f58033]) ).
fof(f98401,plain,
( ! [X0] :
( sK1 = sK6
| sK6 = X0 )
| ~ spl16_11
| ~ spl16_39
| ~ spl16_133 ),
inference(forward_subsumption_resolution,[],[f55211,f559]) ).
fof(f98456,plain,
( ~ big_f(sK1,sK1)
| ~ spl16_9
| ~ spl16_388
| ~ spl16_521 ),
inference(forward_demodulation,[],[f98183,f58033]) ).
fof(f98465,plain,
( ! [X0] :
( ~ big_f(sK1,sK1)
| sK2 = X0 )
| ~ spl16_9
| ~ spl16_388
| ~ spl16_475 ),
inference(forward_demodulation,[],[f98198,f58033]) ).
fof(f98565,plain,
( ! [X0] : sK6 = X0
| ~ spl16_11
| ~ spl16_39
| ~ spl16_133
| spl16_182 ),
inference(forward_subsumption_resolution,[],[f98401,f8495]) ).
fof(f98575,plain,
( $false
| ~ spl16_9
| ~ spl16_39
| ~ spl16_388
| ~ spl16_521 ),
inference(forward_subsumption_resolution,[],[f98456,f559]) ).
fof(f98576,plain,
( ~ spl16_9
| ~ spl16_39
| ~ spl16_388
| ~ spl16_521 ),
inference(avatar_contradiction_clause,[],[f98575]) ).
fof(f98581,plain,
( ! [X0] : sK2 = X0
| ~ spl16_9
| ~ spl16_39
| ~ spl16_388
| ~ spl16_475 ),
inference(forward_subsumption_resolution,[],[f98465,f559]) ).
fof(f98642,plain,
( spl16_96
| ~ spl16_11
| ~ spl16_39
| ~ spl16_133
| spl16_182 ),
inference(avatar_split_clause,[],[f98565,f8494,f5839,f557,f86,f3071]) ).
fof(f98646,plain,
( ! [X0] : sK6 = X0
| ~ spl16_9
| ~ spl16_39
| ~ spl16_83
| ~ spl16_388
| ~ spl16_475 ),
inference(forward_demodulation,[],[f98581,f1861]) ).
fof(f98688,plain,
( spl16_96
| ~ spl16_9
| ~ spl16_39
| ~ spl16_83
| ~ spl16_388
| ~ spl16_475 ),
inference(avatar_split_clause,[],[f98646,f64453,f58032,f1859,f557,f78,f3071]) ).
fof(f100102,plain,
( spl16_406
| ~ spl16_6
| ~ spl16_81
| ~ spl16_375 ),
inference(avatar_split_clause,[],[f70864,f57025,f1704,f66,f58313]) ).
fof(f102636,plain,
( ! [X0] :
( big_f(X0,X0)
| sK6 = X0 )
| ~ spl16_39
| ~ spl16_202 ),
inference(superposition,[],[f559,f8973]) ).
fof(f102657,plain,
( ! [X0,X1] :
( X0 != X1
| ~ big_f(X0,sK9(sK6))
| sK6 != sK9(sK6)
| sK1 = X1
| sK1 = X0 )
| ~ spl16_8
| ~ spl16_9
| spl16_139
| ~ spl16_150 ),
inference(superposition,[],[f79,f91481]) ).
fof(f102728,plain,
( ! [X0,X1] :
( ~ big_f(X0,sK9(sK6))
| sK6 != sK9(sK6)
| sK1 = X1
| sK1 = X0 )
| ~ spl16_8
| ~ spl16_9
| spl16_139
| ~ spl16_150 ),
inference(forward_subsumption_resolution,[],[f102657,f118]) ).
fof(f102741,plain,
( ! [X0,X1] :
( ~ big_f(X0,sK9(sK6))
| sK1 = X1
| sK1 = X0 )
| ~ spl16_8
| ~ spl16_9
| spl16_139
| ~ spl16_150 ),
inference(forward_subsumption_resolution,[],[f102728,f7278]) ).
fof(f102743,plain,
( ! [X0,X1] :
( ~ big_f(X0,sK6)
| sK1 = X1
| sK1 = X0 )
| ~ spl16_8
| ~ spl16_9
| spl16_139
| ~ spl16_150 ),
inference(forward_demodulation,[],[f102741,f7278]) ).
fof(f102744,plain,
( ! [X0,X1] :
( sK1 = X1
| sK1 = X0 )
| ~ spl16_8
| ~ spl16_9
| spl16_139
| ~ spl16_150
| ~ spl16_379 ),
inference(forward_subsumption_resolution,[],[f102743,f57084]) ).
fof(f102745,plain,
( spl16_56
| spl16_56
| ~ spl16_8
| ~ spl16_9
| spl16_139
| ~ spl16_150
| ~ spl16_379 ),
inference(avatar_split_clause,[],[f102744,f57083,f7277,f6386,f78,f74,f874,f874]) ).
fof(f103899,plain,
( ! [X0,X1] :
( sK1 = sK8(X0,X1)
| sK11(sK1) = X0
| sK6 = X0
| sK8(X0,X1) = X1 )
| ~ spl16_6
| ~ spl16_10
| ~ spl16_375 ),
inference(resolution,[],[f58028,f83]) ).
fof(f103934,plain,
( ! [X0,X1] :
( sK6 = X0
| sK1 = sK8(X0,X1)
| sK6 = X0
| sK8(X0,X1) = X1 )
| ~ spl16_6
| ~ spl16_10
| ~ spl16_375
| ~ spl16_406 ),
inference(forward_demodulation,[],[f103899,f58315]) ).
fof(f103935,plain,
( ! [X0,X1] :
( sK8(X0,X1) = X1
| sK1 = sK8(X0,X1)
| sK6 = X0 )
| ~ spl16_6
| ~ spl16_10
| ~ spl16_375
| ~ spl16_406 ),
inference(duplicate_literal_removal,[],[f103934]) ).
fof(f106689,plain,
( ! [X0] :
( sK5(sK1) = X0
| sK1 = sK5(sK1)
| sK1 = sK8(sK1,X0) )
| ~ spl16_10
| ~ spl16_66
| spl16_182
| ~ spl16_564 ),
inference(superposition,[],[f81450,f1559]) ).
fof(f106712,plain,
( ! [X0] :
( sK5(sK1) = X0
| sK1 = sK8(sK1,X0) )
| ~ spl16_10
| spl16_35
| ~ spl16_66
| spl16_182
| ~ spl16_564 ),
inference(forward_subsumption_resolution,[],[f106689,f535]) ).
fof(f106722,plain,
( ! [X0] :
( sK6 = X0
| sK1 = sK8(sK1,X0) )
| ~ spl16_10
| spl16_35
| ~ spl16_66
| ~ spl16_84
| spl16_182
| ~ spl16_564 ),
inference(forward_demodulation,[],[f106712,f2221]) ).
fof(f106725,plain,
( spl16_133
| ~ spl16_10
| spl16_35
| ~ spl16_66
| ~ spl16_84
| spl16_182
| ~ spl16_564 ),
inference(avatar_split_clause,[],[f106722,f80695,f8494,f2219,f1558,f534,f82,f5839]) ).
fof(f106763,plain,
( ! [X0] :
( big_f(sK1,X0)
| sK1 = sK4(sK1,sK1)
| sK1 = X0 )
| ~ spl16_534 ),
inference(superposition,[],[f76630,f118]) ).
fof(f106782,plain,
( ! [X0] :
( big_f(sK1,X0)
| sK1 = X0 )
| spl16_72
| ~ spl16_534 ),
inference(forward_subsumption_resolution,[],[f106763,f1613]) ).
fof(f106790,plain,
( spl16_206
| spl16_72
| ~ spl16_534 ),
inference(avatar_split_clause,[],[f106782,f76628,f1612,f9104]) ).
fof(f107366,plain,
( sK2 != sK6
| sK1 = sK4(sK1,sK1)
| spl16_533 ),
inference(superposition,[],[f76623,f14]) ).
fof(f109547,plain,
( ! [X0,X1] :
( X0 != X0
| ~ big_f(X1,X0)
| sK6 = X1
| sK1 = sK8(X1,X0)
| sK6 = X1 )
| ~ spl16_6
| ~ spl16_10
| ~ spl16_11
| ~ spl16_375
| ~ spl16_406 ),
inference(superposition,[],[f87,f103935]) ).
fof(f109556,plain,
( ! [X0,X1] :
( X0 != X0
| ~ big_f(X1,X0)
| sK6 = X1
| sK1 = sK8(X1,X0) )
| ~ spl16_6
| ~ spl16_10
| ~ spl16_11
| ~ spl16_375
| ~ spl16_406 ),
inference(duplicate_literal_removal,[],[f109547]) ).
fof(f109557,plain,
( ! [X0,X1] :
( ~ big_f(X1,X0)
| sK6 = X1
| sK1 = sK8(X1,X0) )
| ~ spl16_6
| ~ spl16_10
| ~ spl16_11
| ~ spl16_375
| ~ spl16_406 ),
inference(trivial_inequality_removal,[],[f109556]) ).
fof(f109584,plain,
( sK1 = sK6
| sK1 = sK8(sK1,sK1)
| ~ spl16_6
| ~ spl16_10
| ~ spl16_11
| ~ spl16_39
| ~ spl16_375
| ~ spl16_406 ),
inference(resolution,[],[f109557,f559]) ).
fof(f109624,plain,
( sK1 = sK8(sK1,sK1)
| ~ spl16_6
| ~ spl16_10
| ~ spl16_11
| ~ spl16_39
| spl16_182
| ~ spl16_375
| ~ spl16_406 ),
inference(forward_subsumption_resolution,[],[f109584,f8495]) ).
fof(f109646,plain,
( sK1 != sK1
| ~ big_f(sK1,sK1)
| sK1 = sK6
| ~ spl16_6
| ~ spl16_10
| ~ spl16_11
| ~ spl16_39
| spl16_182
| ~ spl16_375
| ~ spl16_406 ),
inference(superposition,[],[f87,f109624]) ).
fof(f109647,plain,
( ~ big_f(sK1,sK1)
| sK1 = sK6
| ~ spl16_6
| ~ spl16_10
| ~ spl16_11
| ~ spl16_39
| spl16_182
| ~ spl16_375
| ~ spl16_406 ),
inference(trivial_inequality_removal,[],[f109646]) ).
fof(f109650,plain,
( sK1 = sK6
| ~ spl16_6
| ~ spl16_10
| ~ spl16_11
| ~ spl16_39
| spl16_182
| ~ spl16_202
| ~ spl16_375
| ~ spl16_406 ),
inference(forward_subsumption_resolution,[],[f109647,f102636]) ).
fof(f109655,plain,
( $false
| ~ spl16_6
| ~ spl16_10
| ~ spl16_11
| ~ spl16_39
| spl16_182
| ~ spl16_202
| ~ spl16_375
| ~ spl16_406 ),
inference(forward_subsumption_resolution,[],[f109650,f8495]) ).
fof(f109656,plain,
( ~ spl16_6
| ~ spl16_10
| ~ spl16_11
| ~ spl16_39
| spl16_182
| ~ spl16_202
| ~ spl16_375
| ~ spl16_406 ),
inference(avatar_contradiction_clause,[],[f109655]) ).
fof(f109698,definition,
( spl16_692
<=> ! [X0] :
( ~ big_f(X0,sK1)
| sK1 = sK14(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_692])],[avatar_definition]) ).
fof(f109699,plain,
( ! [X0] :
( ~ big_f(X0,sK1)
| sK1 = sK14(sK1,X0) )
| ~ spl16_692 ),
inference(avatar_component_clause,[],[f109698]) ).
fof(f109700,plain,
( spl16_20
| spl16_692
| ~ spl16_3
| ~ spl16_559 ),
inference(avatar_split_clause,[],[f95379,f80461,f53,f109698,f142]) ).
fof(f109812,plain,
( spl16_322
| ~ spl16_2
| ~ spl16_14
| ~ spl16_15
| spl16_26
| ~ spl16_57
| ~ spl16_134
| spl16_182 ),
inference(avatar_split_clause,[],[f66236,f8494,f5842,f1240,f305,f103,f99,f49,f29074]) ).
fof(f110119,plain,
( spl16_418
| ~ spl16_15
| spl16_41
| spl16_110
| ~ spl16_120 ),
inference(avatar_split_clause,[],[f65572,f4088,f3766,f566,f103,f59223]) ).
fof(f110130,plain,
( spl16_322
| ~ spl16_2
| ~ spl16_134
| spl16_139
| spl16_182 ),
inference(avatar_split_clause,[],[f8628,f8494,f6386,f5842,f49,f29074]) ).
fof(f111898,plain,
( sK1 = sK14(sK1,sK1)
| ~ spl16_39
| ~ spl16_692 ),
inference(resolution,[],[f109699,f559]) ).
fof(f111925,plain,
( sK1 != sK1
| ~ big_f(sK1,sK1)
| sK1 = sK12
| ~ spl16_3
| ~ spl16_39
| ~ spl16_692 ),
inference(superposition,[],[f54,f111898]) ).
fof(f111926,plain,
( ~ big_f(sK1,sK1)
| sK1 = sK12
| ~ spl16_3
| ~ spl16_39
| ~ spl16_692 ),
inference(trivial_inequality_removal,[],[f111925]) ).
fof(f111929,plain,
( sK1 = sK12
| ~ spl16_3
| ~ spl16_39
| ~ spl16_692 ),
inference(forward_subsumption_resolution,[],[f111926,f559]) ).
fof(f111931,plain,
( $false
| ~ spl16_3
| spl16_20
| ~ spl16_39
| ~ spl16_692 ),
inference(forward_subsumption_resolution,[],[f111929,f143]) ).
fof(f111932,plain,
( ~ spl16_3
| spl16_20
| ~ spl16_39
| ~ spl16_692 ),
inference(avatar_contradiction_clause,[],[f111931]) ).
fof(f113880,definition,
( spl16_732
<=> ! [X0] :
( sK6 = sK4(X0,sK1)
| sK1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_732])],[avatar_definition]) ).
fof(f113881,plain,
( ! [X0] :
( sK6 = sK4(X0,sK1)
| sK1 = X0 )
| ~ spl16_732 ),
inference(avatar_component_clause,[],[f113880]) ).
fof(f124220,plain,
( ! [X2,X0,X1] :
( sK6 != X1
| X0 = X2
| X1 = X2
| X0 = X1 )
| ~ spl16_202 ),
inference(equality_factoring,[],[f74473]) ).
fof(f124472,plain,
( ! [X2,X0,X1] :
( X0 = X2
| X1 = X2
| X0 = X1 )
| ~ spl16_202 ),
inference(forward_subsumption_resolution,[],[f124220,f74473]) ).
fof(f127492,plain,
( ! [X0,X1] :
( sK1 != X0
| X0 = X1
| sK5(sK1) = X1 )
| spl16_35
| ~ spl16_202 ),
inference(superposition,[],[f535,f124472]) ).
fof(f127771,plain,
( ! [X0,X1] :
( sK6 = X1
| sK1 != X0
| X0 = X1 )
| spl16_35
| ~ spl16_84
| ~ spl16_202 ),
inference(forward_demodulation,[],[f127492,f2221]) ).
fof(f158401,plain,
( ! [X0,X1] :
( sK14(X0,X1) = X0
| sK1 = sK14(X0,X1)
| sK12 = X0
| sK14(X0,X1) = X1 )
| ~ spl16_2
| ~ spl16_14
| ~ spl16_33
| ~ spl16_239 ),
inference(resolution,[],[f60884,f50]) ).
fof(f158429,plain,
( ! [X0,X1] :
( sK6 = X0
| sK14(X0,X1) = X0
| sK1 = sK14(X0,X1)
| sK14(X0,X1) = X1 )
| ~ spl16_2
| ~ spl16_14
| ~ spl16_33
| ~ spl16_239
| ~ spl16_322 ),
inference(forward_demodulation,[],[f158401,f29076]) ).
fof(f161619,plain,
( ! [X0,X1] :
( sK14(X0,X1) = X1
| sK14(X0,X1) = X0
| sK6 = X0 )
| ~ spl16_2
| ~ spl16_14
| ~ spl16_33
| spl16_35
| ~ spl16_84
| ~ spl16_202
| ~ spl16_239
| ~ spl16_322 ),
inference(forward_subsumption_resolution,[],[f158429,f127771]) ).
fof(f162376,plain,
( ! [X0,X1] :
( sK1 != sK1
| ~ big_f(sK1,sK1)
| sK1 != X0
| sK10(sK1,X0) = X1
| sK1 = X1 )
| ~ spl16_9
| ~ spl16_388 ),
inference(superposition,[],[f81244,f58033]) ).
fof(f162379,plain,
( ! [X0,X1] :
( ~ big_f(sK1,sK1)
| sK1 != X0
| sK10(sK1,X0) = X1
| sK1 = X1 )
| ~ spl16_9
| ~ spl16_388 ),
inference(trivial_inequality_removal,[],[f162376]) ).
fof(f162383,plain,
( ! [X0,X1] :
( sK1 != X0
| sK10(sK1,X0) = X1
| sK1 = X1 )
| ~ spl16_9
| ~ spl16_39
| ~ spl16_388 ),
inference(forward_subsumption_resolution,[],[f162379,f559]) ).
fof(f162610,plain,
( ! [X0] :
( sK10(sK1,sK1) = X0
| sK1 = X0 )
| ~ spl16_9
| ~ spl16_39
| ~ spl16_388 ),
inference(equality_resolution,[],[f162383]) ).
fof(f162850,definition,
( spl16_1053
<=> big_f(sK1,sK10(sK1,sK1)) ),
introduced(definition,[new_symbols(definition,[spl16_1053])],[avatar_definition]) ).
fof(f162851,plain,
( big_f(sK1,sK10(sK1,sK1))
| ~ spl16_1053 ),
inference(avatar_component_clause,[],[f162850]) ).
fof(f162852,plain,
( ~ big_f(sK1,sK10(sK1,sK1))
| spl16_1053 ),
inference(avatar_component_clause,[],[f162850]) ).
fof(f163593,plain,
( ! [X0] :
( ~ big_f(sK1,X0)
| sK1 = X0 )
| ~ spl16_9
| ~ spl16_39
| ~ spl16_388
| spl16_1053 ),
inference(superposition,[],[f162852,f162610]) ).
fof(f166265,plain,
( ! [X0,X1] :
( X0 != X0
| sK6 = X1
| ~ big_f(X0,X1)
| sK14(X1,X0) = X1
| sK6 = X1 )
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_33
| spl16_35
| ~ spl16_83
| ~ spl16_84
| ~ spl16_202
| ~ spl16_239
| ~ spl16_322
| ~ spl16_323 ),
inference(superposition,[],[f85555,f161619]) ).
fof(f166296,plain,
( ! [X0,X1] :
( X0 != X0
| sK6 = X1
| ~ big_f(X0,X1)
| sK14(X1,X0) = X1 )
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_33
| spl16_35
| ~ spl16_83
| ~ spl16_84
| ~ spl16_202
| ~ spl16_239
| ~ spl16_322
| ~ spl16_323 ),
inference(duplicate_literal_removal,[],[f166265]) ).
fof(f166297,plain,
( ! [X0,X1] :
( ~ big_f(X0,X1)
| sK6 = X1
| sK14(X1,X0) = X1 )
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_33
| spl16_35
| ~ spl16_83
| ~ spl16_84
| ~ spl16_202
| ~ spl16_239
| ~ spl16_322
| ~ spl16_323 ),
inference(trivial_inequality_removal,[],[f166296]) ).
fof(f166363,plain,
( sK1 = sK6
| sK1 = sK14(sK1,sK1)
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_33
| spl16_35
| ~ spl16_39
| ~ spl16_83
| ~ spl16_84
| ~ spl16_202
| ~ spl16_239
| ~ spl16_322
| ~ spl16_323 ),
inference(resolution,[],[f166297,f559]) ).
fof(f166426,plain,
( sK1 = sK14(sK1,sK1)
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_33
| spl16_35
| ~ spl16_39
| ~ spl16_83
| ~ spl16_84
| spl16_182
| ~ spl16_202
| ~ spl16_239
| ~ spl16_322
| ~ spl16_323 ),
inference(forward_subsumption_resolution,[],[f166363,f8495]) ).
fof(f166488,plain,
( sK1 != sK1
| ~ big_f(sK1,sK1)
| sK1 = sK12
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_33
| spl16_35
| ~ spl16_39
| ~ spl16_83
| ~ spl16_84
| spl16_182
| ~ spl16_202
| ~ spl16_239
| ~ spl16_322
| ~ spl16_323 ),
inference(superposition,[],[f54,f166426]) ).
fof(f166489,plain,
( ~ big_f(sK1,sK1)
| sK1 = sK12
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_33
| spl16_35
| ~ spl16_39
| ~ spl16_83
| ~ spl16_84
| spl16_182
| ~ spl16_202
| ~ spl16_239
| ~ spl16_322
| ~ spl16_323 ),
inference(trivial_inequality_removal,[],[f166488]) ).
fof(f166493,plain,
( sK1 = sK12
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_33
| spl16_35
| ~ spl16_39
| ~ spl16_83
| ~ spl16_84
| spl16_182
| ~ spl16_202
| ~ spl16_239
| ~ spl16_322
| ~ spl16_323 ),
inference(forward_subsumption_resolution,[],[f166489,f559]) ).
fof(f166505,plain,
( $false
| ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| spl16_20
| ~ spl16_33
| spl16_35
| ~ spl16_39
| ~ spl16_83
| ~ spl16_84
| spl16_182
| ~ spl16_202
| ~ spl16_239
| ~ spl16_322
| ~ spl16_323 ),
inference(forward_subsumption_resolution,[],[f166493,f143]) ).
fof(f166506,plain,
( ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| spl16_20
| ~ spl16_33
| spl16_35
| ~ spl16_39
| ~ spl16_83
| ~ spl16_84
| spl16_182
| ~ spl16_202
| ~ spl16_239
| ~ spl16_322
| ~ spl16_323 ),
inference(avatar_contradiction_clause,[],[f166505]) ).
fof(f166820,plain,
( spl16_626
| ~ spl16_16
| ~ spl16_83
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f28481,f3412,f1859,f107,f93604]) ).
fof(f167970,plain,
( sK1 = sK4(sK1,sK1)
| ~ spl16_83
| spl16_533 ),
inference(forward_subsumption_resolution,[],[f107366,f1861]) ).
fof(f170363,plain,
( ! [X2,X0,X1] :
( X0 != X1
| ~ big_f(X0,sK1)
| sK1 != X2
| sK6 = sK4(X1,X2)
| sK1 = X0
| sK1 = X1 )
| ~ spl16_17
| ~ spl16_62
| ~ spl16_202 ),
inference(superposition,[],[f74540,f1539]) ).
fof(f170566,plain,
( ! [X2,X0,X1] :
( ~ big_f(X0,sK1)
| sK1 != X2
| sK6 = sK4(X1,X2)
| sK1 = X0
| sK1 = X1 )
| ~ spl16_17
| ~ spl16_62
| ~ spl16_202 ),
inference(forward_subsumption_resolution,[],[f170363,f124472]) ).
fof(f170601,definition,
( spl16_1126
<=> ! [X2,X1] :
( sK1 != X2
| sK1 = X1
| sK6 = sK4(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl16_1126])],[avatar_definition]) ).
fof(f170602,plain,
( ! [X2,X1] :
( sK1 != X2
| sK1 = X1
| sK6 = sK4(X1,X2) )
| ~ spl16_1126 ),
inference(avatar_component_clause,[],[f170601]) ).
fof(f170603,plain,
( spl16_1126
| spl16_47
| ~ spl16_17
| ~ spl16_62
| ~ spl16_202 ),
inference(avatar_split_clause,[],[f170566,f8972,f1538,f111,f621,f170601]) ).
fof(f170991,plain,
( big_f(sK1,sK2)
| sK1 = sK10(sK1,sK1)
| ~ spl16_1053 ),
inference(superposition,[],[f162851,f14]) ).
fof(f171299,plain,
( big_f(sK1,sK2)
| spl16_521
| ~ spl16_1053 ),
inference(forward_subsumption_resolution,[],[f170991,f73054]) ).
fof(f171343,plain,
( big_f(sK1,sK6)
| ~ spl16_83
| spl16_521
| ~ spl16_1053 ),
inference(forward_demodulation,[],[f171299,f1861]) ).
fof(f171853,plain,
( big_f(sK6,sK6)
| sK1 = sK6
| sK1 = sK6
| ~ spl16_626
| ~ spl16_732 ),
inference(superposition,[],[f93605,f113881]) ).
fof(f171884,plain,
( big_f(sK6,sK6)
| sK1 = sK6
| ~ spl16_626
| ~ spl16_732 ),
inference(duplicate_literal_removal,[],[f171853]) ).
fof(f173342,plain,
( ! [X0] :
( sK1 = X0
| sK6 = sK4(X0,sK1) )
| ~ spl16_1126 ),
inference(equality_resolution,[],[f170602]) ).
fof(f173343,plain,
( spl16_732
| ~ spl16_1126 ),
inference(avatar_split_clause,[],[f173342,f170601,f113880]) ).
fof(f174277,plain,
( sK1 = sK6
| ~ spl16_70
| ~ spl16_83
| ~ spl16_626
| ~ spl16_732 ),
inference(forward_subsumption_resolution,[],[f171884,f1876]) ).
fof(f174429,plain,
( $false
| ~ spl16_83
| spl16_139
| spl16_521
| ~ spl16_1053 ),
inference(forward_subsumption_resolution,[],[f171343,f6388]) ).
fof(f174430,plain,
( ~ spl16_83
| spl16_139
| spl16_521
| ~ spl16_1053 ),
inference(avatar_contradiction_clause,[],[f174429]) ).
fof(f174733,plain,
( $false
| ~ spl16_70
| ~ spl16_83
| spl16_182
| ~ spl16_626
| ~ spl16_732 ),
inference(forward_subsumption_resolution,[],[f174277,f8495]) ).
fof(f174734,plain,
( ~ spl16_70
| ~ spl16_83
| spl16_182
| ~ spl16_626
| ~ spl16_732 ),
inference(avatar_contradiction_clause,[],[f174733]) ).
fof(f174962,plain,
( spl16_72
| ~ spl16_83
| spl16_533 ),
inference(avatar_split_clause,[],[f167970,f76622,f1859,f1612]) ).
fof(f174977,plain,
( spl16_564
| ~ spl16_9
| ~ spl16_39
| ~ spl16_388
| spl16_1053 ),
inference(avatar_split_clause,[],[f163593,f162850,f58032,f557,f78,f80695]) ).
cnf(s1,plain,
( spl16_1
| spl16_2 ),
inference(sat_conversion,[],[f51]) ).
cnf(s2,plain,
( spl16_1
| spl16_3 ),
inference(sat_conversion,[],[f55]) ).
cnf(s3,plain,
( spl16_1
| spl16_4 ),
inference(sat_conversion,[],[f59]) ).
cnf(s4,plain,
( spl16_1
| spl16_5 ),
inference(sat_conversion,[],[f64]) ).
cnf(s5,plain,
( ~ spl16_1
| spl16_6 ),
inference(sat_conversion,[],[f68]) ).
cnf(s6,plain,
( ~ spl16_1
| spl16_7 ),
inference(sat_conversion,[],[f72]) ).
cnf(s7,plain,
( ~ spl16_1
| spl16_8 ),
inference(sat_conversion,[],[f76]) ).
cnf(s8,plain,
( ~ spl16_1
| spl16_9 ),
inference(sat_conversion,[],[f80]) ).
cnf(s9,plain,
( ~ spl16_1
| spl16_10 ),
inference(sat_conversion,[],[f84]) ).
cnf(s10,plain,
( ~ spl16_1
| spl16_11 ),
inference(sat_conversion,[],[f88]) ).
cnf(s11,plain,
( ~ spl16_1
| spl16_12 ),
inference(sat_conversion,[],[f92]) ).
cnf(s12,plain,
( ~ spl16_1
| spl16_13 ),
inference(sat_conversion,[],[f97]) ).
cnf(s13,plain,
( spl16_1
| spl16_14 ),
inference(sat_conversion,[],[f101]) ).
cnf(s14,plain,
( spl16_1
| spl16_15 ),
inference(sat_conversion,[],[f105]) ).
cnf(s15,plain,
( spl16_1
| spl16_16 ),
inference(sat_conversion,[],[f109]) ).
cnf(s16,plain,
( spl16_1
| spl16_17 ),
inference(sat_conversion,[],[f113]) ).
cnf(s17,plain,
( ~ spl16_5
| spl16_18
| spl16_19 ),
inference(sat_conversion,[],[f139]) ).
cnf(s19,plain,
( ~ spl16_4
| spl16_20
| spl16_22 ),
inference(sat_conversion,[],[f153]) ).
cnf(s20,plain,
( ~ spl16_5
| spl16_20
| spl16_23 ),
inference(sat_conversion,[],[f158]) ).
cnf(s21,plain,
( ~ spl16_17
| ~ spl16_24
| spl16_25 ),
inference(sat_conversion,[],[f303]) ).
cnf(s35,plain,
( ~ spl16_5
| ~ spl16_20
| spl16_38
| spl16_39 ),
inference(sat_conversion,[],[f561]) ).
cnf(s39,plain,
( ~ spl16_19
| ~ spl16_20
| spl16_41 ),
inference(sat_conversion,[],[f575]) ).
cnf(s40,plain,
( spl16_18
| spl16_38 ),
inference(sat_conversion,[],[f580]) ).
cnf(s43,plain,
( ~ spl16_15
| spl16_43
| spl16_44 ),
inference(sat_conversion,[],[f591]) ).
cnf(s55,plain,
( ~ spl16_4
| spl16_45
| spl16_49 ),
inference(sat_conversion,[],[f643]) ).
cnf(s61,plain,
( ~ spl16_18
| ~ spl16_23
| spl16_26 ),
inference(sat_conversion,[],[f726]) ).
cnf(s64,plain,
( ~ spl16_5
| ~ spl16_17
| ~ spl16_18
| ~ spl16_38 ),
inference(sat_conversion,[],[f846]) ).
cnf(s69,plain,
( ~ spl16_4
| ~ spl16_18
| ~ spl16_19 ),
inference(sat_conversion,[],[f937]) ).
cnf(s80,plain,
( ~ spl16_16
| spl16_57
| spl16_58 ),
inference(sat_conversion,[],[f1246]) ).
cnf(s81,plain,
( ~ spl16_2
| ~ spl16_3
| ~ spl16_20
| ~ spl16_24
| spl16_26 ),
inference(sat_conversion,[],[f1401]) ).
cnf(s83,plain,
( ~ spl16_28
| ~ spl16_33 ),
inference(sat_conversion,[],[f1408]) ).
cnf(s84,plain,
( ~ spl16_15
| ~ spl16_33
| ~ spl16_35
| spl16_41 ),
inference(sat_conversion,[],[f1430]) ).
cnf(s85,plain,
( ~ spl16_15
| spl16_24
| ~ spl16_33
| spl16_35 ),
inference(sat_conversion,[],[f1434]) ).
cnf(s114,plain,
( ~ spl16_13
| spl16_76
| spl16_80 ),
inference(sat_conversion,[],[f1702]) ).
cnf(s116,plain,
( spl16_28
| spl16_33 ),
inference(sat_conversion,[],[f1727]) ).
cnf(s130,plain,
( spl16_35
| ~ spl16_83
| spl16_84 ),
inference(sat_conversion,[],[f2224]) ).
cnf(s189,plain,
( ~ spl16_4
| ~ spl16_18
| ~ spl16_20
| spl16_47 ),
inference(sat_conversion,[],[f3702]) ).
cnf(s201,plain,
( spl16_35
| spl16_66 ),
inference(sat_conversion,[],[f3877]) ).
cnf(s284,plain,
( ~ spl16_17
| ~ spl16_28
| ~ spl16_39
| ~ spl16_72 ),
inference(sat_conversion,[],[f4964]) ).
cnf(s421,plain,
( ~ spl16_7
| spl16_24
| spl16_175 ),
inference(sat_conversion,[],[f8521]) ).
cnf(s437,plain,
( ~ spl16_8
| spl16_157
| spl16_196 ),
inference(sat_conversion,[],[f8570]) ).
cnf(s440,plain,
( spl16_83
| ~ spl16_150
| spl16_182 ),
inference(sat_conversion,[],[f8577]) ).
cnf(s452,plain,
( ~ spl16_2
| ~ spl16_20
| ~ spl16_134
| spl16_139
| spl16_182 ),
inference(sat_conversion,[],[f8643]) ).
cnf(s523,plain,
( ~ spl16_56
| spl16_182 ),
inference(sat_conversion,[],[f9890]) ).
cnf(s528,plain,
( ~ spl16_56
| spl16_123 ),
inference(sat_conversion,[],[f9900]) ).
cnf(s533,plain,
~ spl16_96,
inference(sat_conversion,[],[f9918]) ).
cnf(s603,plain,
( spl16_196
| spl16_237 ),
inference(sat_conversion,[],[f11621]) ).
cnf(s605,plain,
( spl16_56
| spl16_196
| spl16_237 ),
inference(sat_conversion,[],[f11626]) ).
cnf(s609,plain,
( ~ spl16_7
| spl16_39
| spl16_41
| ~ spl16_196 ),
inference(sat_conversion,[],[f11681]) ).
cnf(s706,plain,
( ~ spl16_47
| ~ spl16_79
| spl16_182 ),
inference(sat_conversion,[],[f13813]) ).
cnf(s718,plain,
( ~ spl16_13
| ~ spl16_76
| spl16_79 ),
inference(sat_conversion,[],[f13845]) ).
cnf(s737,plain,
( ~ spl16_17
| ~ spl16_62
| spl16_70
| spl16_250 ),
inference(sat_conversion,[],[f13945]) ).
cnf(s741,plain,
( spl16_26
| ~ spl16_35
| ~ spl16_74 ),
inference(sat_conversion,[],[f14012]) ).
cnf(s763,plain,
( ~ spl16_15
| spl16_26
| spl16_39
| ~ spl16_57 ),
inference(sat_conversion,[],[f14328]) ).
cnf(s810,plain,
( spl16_83
| ~ spl16_102
| spl16_182 ),
inference(sat_conversion,[],[f14874]) ).
cnf(s823,plain,
( spl16_41
| ~ spl16_58
| ~ spl16_258 ),
inference(sat_conversion,[],[f15130]) ).
cnf(s918,plain,
( ~ spl16_9
| ~ spl16_182
| ~ spl16_237
| spl16_295
| spl16_296 ),
inference(sat_conversion,[],[f17717]) ).
cnf(s968,plain,
( spl16_57
| spl16_108 ),
inference(sat_conversion,[],[f18644]) ).
cnf(s975,plain,
( ~ spl16_10
| spl16_83
| spl16_162
| ~ spl16_182
| ~ spl16_296 ),
inference(sat_conversion,[],[f18921]) ).
cnf(s1020,plain,
( ~ spl16_3
| ~ spl16_20
| ~ spl16_81
| ~ spl16_182
| ~ spl16_198 ),
inference(sat_conversion,[],[f19145]) ).
cnf(s1162,plain,
( spl16_35
| ~ spl16_109
| ~ spl16_182 ),
inference(sat_conversion,[],[f23967]) ).
cnf(s1180,plain,
( spl16_105
| ~ spl16_182
| ~ spl16_199 ),
inference(sat_conversion,[],[f24228]) ).
cnf(s1181,plain,
( ~ spl16_182
| spl16_227
| ~ spl16_233 ),
inference(sat_conversion,[],[f24230]) ).
cnf(s1238,plain,
( ~ spl16_14
| ~ spl16_39
| ~ spl16_57
| ~ spl16_107 ),
inference(sat_conversion,[],[f24850]) ).
cnf(s1250,plain,
( ~ spl16_5
| ~ spl16_14
| ~ spl16_18
| ~ spl16_20
| ~ spl16_57
| ~ spl16_107 ),
inference(sat_conversion,[],[f24900]) ).
cnf(s1267,plain,
( ~ spl16_41
| ~ spl16_182
| spl16_284 ),
inference(sat_conversion,[],[f25253]) ).
cnf(s1268,plain,
~ spl16_184,
inference(sat_conversion,[],[f25268]) ).
cnf(s1320,plain,
( ~ spl16_12
| ~ spl16_79
| ~ spl16_81
| spl16_83
| ~ spl16_182 ),
inference(sat_conversion,[],[f26108]) ).
cnf(s1326,plain,
( spl16_41
| ~ spl16_182
| ~ spl16_284 ),
inference(sat_conversion,[],[f26319]) ).
cnf(s1386,plain,
( ~ spl16_3
| ~ spl16_45
| ~ spl16_79
| spl16_96
| ~ spl16_134
| ~ spl16_182 ),
inference(sat_conversion,[],[f26750]) ).
cnf(s1447,plain,
( ~ spl16_4
| ~ spl16_19
| ~ spl16_22
| ~ spl16_81
| spl16_83 ),
inference(sat_conversion,[],[f27942]) ).
cnf(s1452,plain,
( ~ spl16_83
| ~ spl16_182 ),
inference(sat_conversion,[],[f28004]) ).
cnf(s1578,plain,
( ~ spl16_16
| spl16_58
| ~ spl16_108 ),
inference(sat_conversion,[],[f28782]) ).
cnf(s1593,plain,
( ~ spl16_24
| spl16_264
| ~ spl16_320 ),
inference(sat_conversion,[],[f28876]) ).
cnf(s1618,plain,
( spl16_20
| ~ spl16_182
| ~ spl16_322 ),
inference(sat_conversion,[],[f29142]) ).
cnf(s1679,plain,
( spl16_24
| ~ spl16_264
| ~ spl16_320 ),
inference(sat_conversion,[],[f29439]) ).
cnf(s1686,plain,
( ~ spl16_2
| spl16_83
| spl16_284
| ~ spl16_300
| spl16_322 ),
inference(sat_conversion,[],[f29491]) ).
cnf(s1761,plain,
( ~ spl16_20
| ~ spl16_323 ),
inference(sat_conversion,[],[f29999]) ).
cnf(s1778,plain,
( ~ spl16_3
| ~ spl16_79
| ~ spl16_142
| ~ spl16_182
| spl16_322 ),
inference(sat_conversion,[],[f30073]) ).
cnf(s1841,plain,
( ~ spl16_4
| ~ spl16_19
| ~ spl16_50
| ~ spl16_182
| spl16_284 ),
inference(sat_conversion,[],[f30520]) ).
cnf(s1922,plain,
( ~ spl16_56
| spl16_96
| ~ spl16_182 ),
inference(sat_conversion,[],[f30902]) ).
cnf(s1949,plain,
( spl16_39
| ~ spl16_139
| ~ spl16_182 ),
inference(sat_conversion,[],[f31150]) ).
cnf(s2130,plain,
( ~ spl16_6
| ~ spl16_81
| spl16_83
| spl16_150
| ~ spl16_264
| ~ spl16_320 ),
inference(sat_conversion,[],[f33839]) ).
cnf(s2136,plain,
( spl16_83
| ~ spl16_150
| ~ spl16_320 ),
inference(sat_conversion,[],[f33986]) ).
cnf(s2193,plain,
( ~ spl16_14
| ~ spl16_33
| spl16_109
| ~ spl16_182
| ~ spl16_284 ),
inference(sat_conversion,[],[f34934]) ).
cnf(s2310,plain,
( ~ spl16_11
| ~ spl16_24
| spl16_83
| ~ spl16_182
| spl16_277 ),
inference(sat_conversion,[],[f35125]) ).
cnf(s2325,plain,
( spl16_150
| ~ spl16_182
| spl16_320 ),
inference(sat_conversion,[],[f35287]) ).
cnf(s2326,plain,
( spl16_96
| spl16_150
| ~ spl16_182
| spl16_320 ),
inference(sat_conversion,[],[f35292]) ).
cnf(s2329,plain,
( ~ spl16_39
| spl16_79
| ~ spl16_182 ),
inference(sat_conversion,[],[f35481]) ).
cnf(s2462,plain,
( ~ spl16_8
| ~ spl16_150
| ~ spl16_182
| spl16_284
| spl16_285 ),
inference(sat_conversion,[],[f35891]) ).
cnf(s2494,plain,
( ~ spl16_9
| spl16_24
| ~ spl16_81
| ~ spl16_157
| ~ spl16_182
| spl16_184
| ~ spl16_237 ),
inference(sat_conversion,[],[f36222]) ).
cnf(s2579,plain,
( ~ spl16_10
| spl16_83
| ~ spl16_277
| spl16_284 ),
inference(sat_conversion,[],[f36396]) ).
cnf(s2598,plain,
( spl16_158
| ~ spl16_182
| ~ spl16_196 ),
inference(sat_conversion,[],[f36474]) ).
cnf(s2719,plain,
( ~ spl16_182
| spl16_264
| spl16_296
| ~ spl16_320 ),
inference(sat_conversion,[],[f39384]) ).
cnf(s2816,plain,
( ~ spl16_3
| ~ spl16_105
| spl16_159
| ~ spl16_182
| ~ spl16_227
| spl16_322 ),
inference(sat_conversion,[],[f44284]) ).
cnf(s2826,plain,
( ~ spl16_26
| spl16_81
| ~ spl16_182 ),
inference(sat_conversion,[],[f44342]) ).
cnf(s2932,plain,
( ~ spl16_9
| ~ spl16_79
| ~ spl16_149
| ~ spl16_182
| ~ spl16_285
| spl16_325 ),
inference(sat_conversion,[],[f44713]) ).
cnf(s3379,plain,
( ~ spl16_12
| ~ spl16_76
| spl16_83
| ~ spl16_157
| ~ spl16_182
| ~ spl16_295 ),
inference(sat_conversion,[],[f46901]) ).
cnf(s4185,plain,
( ~ spl16_11
| spl16_83
| ~ spl16_162
| ~ spl16_182
| spl16_184
| ~ spl16_284 ),
inference(sat_conversion,[],[f49829]) ).
cnf(s4267,plain,
( spl16_83
| ~ spl16_325 ),
inference(sat_conversion,[],[f50334]) ).
cnf(s4294,plain,
( ~ spl16_7
| spl16_81
| spl16_83
| ~ spl16_175
| ~ spl16_182
| ~ spl16_320 ),
inference(sat_conversion,[],[f50628]) ).
cnf(s4388,plain,
( spl16_96
| spl16_142
| ~ spl16_182
| spl16_300 ),
inference(sat_conversion,[],[f51475]) ).
cnf(s4614,plain,
( ~ spl16_2
| spl16_39
| spl16_83
| ~ spl16_159
| ~ spl16_182
| spl16_322 ),
inference(sat_conversion,[],[f52920]) ).
cnf(s4655,plain,
( ~ spl16_6
| spl16_83
| ~ spl16_182
| ~ spl16_196
| ~ spl16_284
| ~ spl16_359 ),
inference(sat_conversion,[],[f54762]) ).
cnf(s4774,plain,
( ~ spl16_7
| spl16_83
| ~ spl16_158
| spl16_378
| spl16_379 ),
inference(sat_conversion,[],[f57121]) ).
cnf(s4776,plain,
( ~ spl16_4
| ~ spl16_19
| ~ spl16_23
| spl16_44 ),
inference(sat_conversion,[],[f57126]) ).
cnf(s4779,plain,
( ~ spl16_4
| ~ spl16_19
| ~ spl16_23
| spl16_187 ),
inference(sat_conversion,[],[f57127]) ).
cnf(s4783,plain,
( ~ spl16_17
| spl16_35
| ~ spl16_66
| ~ spl16_108
| ~ spl16_178
| spl16_258 ),
inference(sat_conversion,[],[f57131]) ).
cnf(s4797,plain,
( ~ spl16_17
| ~ spl16_66
| ~ spl16_108
| ~ spl16_178
| spl16_224 ),
inference(sat_conversion,[],[f57149]) ).
cnf(s4827,plain,
( ~ spl16_108
| spl16_201 ),
inference(sat_conversion,[],[f57215]) ).
cnf(s4832,plain,
( ~ spl16_284
| spl16_379 ),
inference(sat_conversion,[],[f57251]) ).
cnf(s4944,plain,
( ~ spl16_11
| ~ spl16_39
| spl16_182
| spl16_184
| ~ spl16_194 ),
inference(sat_conversion,[],[f57712]) ).
cnf(s4990,plain,
( ~ spl16_12
| spl16_76
| ~ spl16_79 ),
inference(sat_conversion,[],[f57808]) ).
cnf(s4995,plain,
( ~ spl16_13
| spl16_76
| spl16_81 ),
inference(sat_conversion,[],[f57809]) ).
cnf(s5029,plain,
( spl16_62
| ~ spl16_201 ),
inference(sat_conversion,[],[f58184]) ).
cnf(s5087,plain,
( spl16_182
| ~ spl16_196
| ~ spl16_320 ),
inference(sat_conversion,[],[f59313]) ).
cnf(s5088,plain,
( spl16_149
| spl16_320 ),
inference(sat_conversion,[],[f59314]) ).
cnf(s5102,plain,
( ~ spl16_6
| ~ spl16_39
| ~ spl16_196
| spl16_378 ),
inference(sat_conversion,[],[f59483]) ).
cnf(s5125,plain,
( ~ spl16_6
| ~ spl16_79
| ~ spl16_196
| spl16_359 ),
inference(sat_conversion,[],[f60051]) ).
cnf(s5126,plain,
( spl16_83
| spl16_182
| ~ spl16_359 ),
inference(sat_conversion,[],[f60054]) ).
cnf(s5128,plain,
( ~ spl16_6
| ~ spl16_79
| spl16_182
| ~ spl16_196
| ~ spl16_378 ),
inference(sat_conversion,[],[f60060]) ).
cnf(s5191,plain,
( ~ spl16_14
| ~ spl16_33
| spl16_83
| ~ spl16_239
| ~ spl16_379 ),
inference(sat_conversion,[],[f60907]) ).
cnf(s5194,plain,
( spl16_35
| spl16_239 ),
inference(sat_conversion,[],[f60913]) ).
cnf(s5195,plain,
( ~ spl16_15
| ~ spl16_33
| spl16_178 ),
inference(sat_conversion,[],[f60914]) ).
cnf(s5244,plain,
( ~ spl16_10
| ~ spl16_35
| spl16_74
| spl16_182
| spl16_194 ),
inference(sat_conversion,[],[f61041]) ).
cnf(s5284,plain,
( ~ spl16_26
| ~ spl16_149
| spl16_262 ),
inference(sat_conversion,[],[f62121]) ).
cnf(s5287,plain,
( ~ spl16_4
| ~ spl16_19
| ~ spl16_22
| ~ spl16_262
| spl16_320 ),
inference(sat_conversion,[],[f62151]) ).
cnf(s5301,plain,
( spl16_150
| spl16_182
| ~ spl16_237 ),
inference(sat_conversion,[],[f62334]) ).
cnf(s5317,plain,
( ~ spl16_16
| ~ spl16_28
| spl16_39
| spl16_182
| ~ spl16_199 ),
inference(sat_conversion,[],[f62403]) ).
cnf(s5319,plain,
( ~ spl16_16
| ~ spl16_28
| spl16_39
| ~ spl16_123 ),
inference(sat_conversion,[],[f62408]) ).
cnf(s5334,plain,
( ~ spl16_14
| spl16_83
| spl16_109
| ~ spl16_379
| spl16_418 ),
inference(sat_conversion,[],[f62893]) ).
cnf(s5337,plain,
( spl16_182
| ~ spl16_201
| ~ spl16_418 ),
inference(sat_conversion,[],[f62943]) ).
cnf(s5370,plain,
( spl16_83
| ~ spl16_109
| spl16_182 ),
inference(sat_conversion,[],[f63010]) ).
cnf(s5376,plain,
( ~ spl16_5
| ~ spl16_14
| ~ spl16_18
| ~ spl16_57
| spl16_107
| ~ spl16_323 ),
inference(sat_conversion,[],[f63028]) ).
cnf(s5378,plain,
( ~ spl16_17
| ~ spl16_26
| ~ spl16_28
| spl16_123 ),
inference(sat_conversion,[],[f63032]) ).
cnf(s5418,plain,
( ~ spl16_18
| ~ spl16_321
| ~ spl16_323 ),
inference(sat_conversion,[],[f63268]) ).
cnf(s5425,plain,
( ~ spl16_4
| ~ spl16_18
| ~ spl16_24
| ~ spl16_323 ),
inference(sat_conversion,[],[f63273]) ).
cnf(s5440,plain,
( spl16_19
| ~ spl16_20
| ~ spl16_41 ),
inference(sat_conversion,[],[f63325]) ).
cnf(s5460,plain,
( spl16_252
| spl16_283 ),
inference(sat_conversion,[],[f63411]) ).
cnf(s5478,plain,
( ~ spl16_26
| ~ spl16_57
| spl16_98 ),
inference(sat_conversion,[],[f63492]) ).
cnf(s5576,plain,
( ~ spl16_47
| ~ spl16_58
| ~ spl16_250 ),
inference(sat_conversion,[],[f63758]) ).
cnf(s5600,plain,
( spl16_20
| spl16_323 ),
inference(sat_conversion,[],[f63843]) ).
cnf(s5603,plain,
( spl16_18
| ~ spl16_39
| ~ spl16_49 ),
inference(sat_conversion,[],[f63865]) ).
cnf(s5609,plain,
( spl16_18
| ~ spl16_22
| ~ spl16_57
| ~ spl16_98 ),
inference(sat_conversion,[],[f63882]) ).
cnf(s5632,plain,
( ~ spl16_14
| ~ spl16_98
| spl16_107
| spl16_108 ),
inference(sat_conversion,[],[f63987]) ).
cnf(s5758,plain,
( ~ spl16_17
| ~ spl16_24
| ~ spl16_108
| spl16_258 ),
inference(sat_conversion,[],[f64183]) ).
cnf(s5789,plain,
( ~ spl16_2
| spl16_83
| spl16_134
| spl16_322
| spl16_379 ),
inference(sat_conversion,[],[f64343]) ).
cnf(s5805,plain,
( ~ spl16_4
| spl16_20
| ~ spl16_22
| ~ spl16_44
| ~ spl16_206 ),
inference(sat_conversion,[],[f64892]) ).
cnf(s5815,plain,
( ~ spl16_16
| ~ spl16_28
| spl16_83
| spl16_199
| spl16_206 ),
inference(sat_conversion,[],[f65344]) ).
cnf(s5872,plain,
( ~ spl16_14
| ~ spl16_33
| spl16_35
| ~ spl16_58
| ~ spl16_224
| ~ spl16_239 ),
inference(sat_conversion,[],[f65530]) ).
cnf(s5905,plain,
( ~ spl16_57
| spl16_463 ),
inference(sat_conversion,[],[f65685]) ).
cnf(s5917,plain,
( ~ spl16_5
| ~ spl16_38
| ~ spl16_322
| spl16_379 ),
inference(sat_conversion,[],[f66179]) ).
cnf(s5934,plain,
( ~ spl16_22
| ~ spl16_44
| spl16_321
| ~ spl16_323 ),
inference(sat_conversion,[],[f66225]) ).
cnf(s5935,plain,
( spl16_83
| ~ spl16_322
| ~ spl16_323 ),
inference(sat_conversion,[],[f66227]) ).
cnf(s5946,plain,
( ~ spl16_7
| ~ spl16_196
| spl16_474 ),
inference(sat_conversion,[],[f66338]) ).
cnf(s5997,plain,
( ~ spl16_5
| ~ spl16_20
| spl16_50 ),
inference(sat_conversion,[],[f66479]) ).
cnf(s5998,plain,
( ~ spl16_4
| ~ spl16_20
| spl16_49 ),
inference(sat_conversion,[],[f66480]) ).
cnf(s6013,plain,
( ~ spl16_16
| ~ spl16_17
| spl16_26
| ~ spl16_28
| ~ spl16_39
| spl16_184 ),
inference(sat_conversion,[],[f66514]) ).
cnf(s6209,plain,
( spl16_83
| ~ spl16_110
| spl16_182 ),
inference(sat_conversion,[],[f66813]) ).
cnf(s6330,plain,
( ~ spl16_10
| spl16_54
| spl16_83
| ~ spl16_252 ),
inference(sat_conversion,[],[f67718]) ).
cnf(s6333,plain,
( spl16_54
| spl16_378
| ~ spl16_474 ),
inference(sat_conversion,[],[f67719]) ).
cnf(s6345,plain,
( ~ spl16_2
| ~ spl16_20
| ~ spl16_70
| spl16_251 ),
inference(sat_conversion,[],[f68105]) ).
cnf(s6401,plain,
( ~ spl16_14
| ~ spl16_33
| ~ spl16_35
| ~ spl16_187 ),
inference(sat_conversion,[],[f68580]) ).
cnf(s6402,plain,
( ~ spl16_14
| ~ spl16_24
| ~ spl16_33
| ~ spl16_35 ),
inference(sat_conversion,[],[f68582]) ).
cnf(s6440,plain,
( spl16_182
| spl16_418
| ~ spl16_463 ),
inference(sat_conversion,[],[f69133]) ).
cnf(s6508,plain,
( spl16_375
| spl16_388 ),
inference(sat_conversion,[],[f70495]) ).
cnf(s6510,plain,
( spl16_388
| ~ spl16_402 ),
inference(sat_conversion,[],[f70497]) ).
cnf(s6512,plain,
( ~ spl16_7
| spl16_26
| ~ spl16_175
| spl16_402 ),
inference(sat_conversion,[],[f70514]) ).
cnf(s6534,plain,
( ~ spl16_17
| ~ spl16_26
| ~ spl16_28
| spl16_123 ),
inference(sat_conversion,[],[f70918]) ).
cnf(s6558,plain,
( ~ spl16_108
| ~ spl16_123
| spl16_464 ),
inference(sat_conversion,[],[f70950]) ).
cnf(s6616,plain,
( ~ spl16_25
| spl16_57
| spl16_258 ),
inference(sat_conversion,[],[f71232]) ).
cnf(s6627,plain,
( spl16_41
| ~ spl16_376
| spl16_475 ),
inference(sat_conversion,[],[f71253]) ).
cnf(s6672,plain,
( ~ spl16_11
| ~ spl16_80
| spl16_83
| spl16_182
| ~ spl16_283 ),
inference(sat_conversion,[],[f72382]) ).
cnf(s6674,plain,
( ~ spl16_3
| ~ spl16_26
| spl16_184
| ~ spl16_251
| spl16_323 ),
inference(sat_conversion,[],[f72401]) ).
cnf(s6680,plain,
( ~ spl16_91
| spl16_120
| spl16_284 ),
inference(sat_conversion,[],[f72445]) ).
cnf(s6697,plain,
( ~ spl16_4
| ~ spl16_18
| spl16_70
| ~ spl16_323 ),
inference(sat_conversion,[],[f72515]) ).
cnf(s6718,plain,
( ~ spl16_17
| spl16_24
| ~ spl16_41
| ~ spl16_58
| ~ spl16_108
| spl16_184 ),
inference(sat_conversion,[],[f72564]) ).
cnf(s6740,plain,
( ~ spl16_43
| spl16_83
| spl16_91
| ~ spl16_139
| spl16_418 ),
inference(sat_conversion,[],[f72606]) ).
cnf(s6747,plain,
( spl16_39
| ~ spl16_378
| ~ spl16_474 ),
inference(sat_conversion,[],[f72672]) ).
cnf(s6755,plain,
( ~ spl16_57
| spl16_72
| ~ spl16_464 ),
inference(sat_conversion,[],[f72701]) ).
cnf(s6763,plain,
( ~ spl16_2
| ~ spl16_3
| spl16_20
| ~ spl16_35
| spl16_39
| ~ spl16_178 ),
inference(sat_conversion,[],[f73099]) ).
cnf(s6766,plain,
( ~ spl16_19
| spl16_20
| spl16_24 ),
inference(sat_conversion,[],[f73103]) ).
cnf(s6787,plain,
( ~ spl16_2
| ~ spl16_14
| ~ spl16_20
| ~ spl16_33
| ~ spl16_35
| spl16_56
| spl16_83
| spl16_198 ),
inference(sat_conversion,[],[f73222]) ).
cnf(s6801,plain,
( ~ spl16_14
| ~ spl16_57
| spl16_102
| ~ spl16_139 ),
inference(sat_conversion,[],[f74075]) ).
cnf(s6809,plain,
( ~ spl16_14
| spl16_28
| spl16_84
| ~ spl16_379 ),
inference(sat_conversion,[],[f74129]) ).
cnf(s6863,plain,
( ~ spl16_83
| spl16_202 ),
inference(sat_conversion,[],[f74460]) ).
cnf(s7117,plain,
( ~ spl16_41
| spl16_56
| ~ spl16_199
| spl16_233 ),
inference(sat_conversion,[],[f79374]) ).
cnf(s7136,plain,
( ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| ~ spl16_20
| ~ spl16_33
| ~ spl16_35
| spl16_56
| ~ spl16_83
| spl16_96
| ~ spl16_202
| ~ spl16_206 ),
inference(sat_conversion,[],[f80077]) ).
cnf(s7234,plain,
( ~ spl16_9
| spl16_24
| ~ spl16_83
| spl16_96
| ~ spl16_139
| ~ spl16_157
| ~ spl16_237 ),
inference(sat_conversion,[],[f80856]) ).
cnf(s7417,plain,
( ~ spl16_9
| spl16_39
| spl16_47
| spl16_56
| ~ spl16_376
| ~ spl16_388 ),
inference(sat_conversion,[],[f82309]) ).
cnf(s7592,plain,
( ~ spl16_13
| spl16_76
| ~ spl16_83
| spl16_284 ),
inference(sat_conversion,[],[f83221]) ).
cnf(s7734,plain,
( ~ spl16_11
| ~ spl16_26
| ~ spl16_83
| spl16_182
| spl16_508 ),
inference(sat_conversion,[],[f84023]) ).
cnf(s7819,plain,
( ~ spl16_41
| spl16_79
| ~ spl16_83 ),
inference(sat_conversion,[],[f84969]) ).
cnf(s7821,plain,
( ~ spl16_12
| ~ spl16_54
| spl16_76
| spl16_182 ),
inference(sat_conversion,[],[f84973]) ).
cnf(s8228,plain,
( ~ spl16_83
| spl16_322
| ~ spl16_323 ),
inference(sat_conversion,[],[f87717]) ).
cnf(s8362,plain,
( ~ spl16_2
| ~ spl16_3
| spl16_20
| spl16_39
| ~ spl16_41
| ~ spl16_83
| spl16_182 ),
inference(sat_conversion,[],[f89362]) ).
cnf(s8369,plain,
( ~ spl16_12
| ~ spl16_24
| spl16_182
| spl16_605 ),
inference(sat_conversion,[],[f89435]) ).
cnf(s8373,plain,
( ~ spl16_26
| ~ spl16_83
| spl16_139 ),
inference(sat_conversion,[],[f89448]) ).
cnf(s8379,plain,
( ~ spl16_2
| spl16_20
| ~ spl16_47
| spl16_559 ),
inference(sat_conversion,[],[f89508]) ).
cnf(s8488,plain,
( ~ spl16_10
| spl16_39
| spl16_182
| ~ spl16_508 ),
inference(sat_conversion,[],[f91014]) ).
cnf(s8513,plain,
( spl16_26
| ~ spl16_83
| ~ spl16_139 ),
inference(sat_conversion,[],[f91352]) ).
cnf(s8796,plain,
( ~ spl16_15
| ~ spl16_107
| spl16_206
| ~ spl16_463 ),
inference(sat_conversion,[],[f96445]) ).
cnf(s8846,plain,
( ~ spl16_139
| ~ spl16_533
| spl16_534 ),
inference(sat_conversion,[],[f97062]) ).
cnf(s8852,plain,
( ~ spl16_76
| spl16_182
| ~ spl16_605 ),
inference(sat_conversion,[],[f97277]) ).
cnf(s8887,plain,
( ~ spl16_14
| ~ spl16_19
| ~ spl16_20
| ~ spl16_33
| ~ spl16_84
| spl16_182 ),
inference(sat_conversion,[],[f97551]) ).
cnf(s8956,plain,
( ~ spl16_8
| spl16_376
| ~ spl16_388 ),
inference(sat_conversion,[],[f98119]) ).
cnf(s9033,plain,
( ~ spl16_9
| ~ spl16_39
| ~ spl16_388
| ~ spl16_521 ),
inference(sat_conversion,[],[f98576]) ).
cnf(s9042,plain,
( ~ spl16_11
| ~ spl16_39
| spl16_96
| ~ spl16_133
| spl16_182 ),
inference(sat_conversion,[],[f98642]) ).
cnf(s9058,plain,
( ~ spl16_9
| ~ spl16_39
| ~ spl16_83
| spl16_96
| ~ spl16_388
| ~ spl16_475 ),
inference(sat_conversion,[],[f98688]) ).
cnf(s9206,plain,
( ~ spl16_6
| ~ spl16_81
| ~ spl16_375
| spl16_406 ),
inference(sat_conversion,[],[f100102]) ).
cnf(s9598,plain,
( spl16_56
| ~ spl16_9
| ~ spl16_8
| spl16_56
| spl16_139
| ~ spl16_150
| ~ spl16_379 ),
inference(sat_conversion,[],[f102745]) ).
cnf(s9599,plain,
( ~ spl16_8
| ~ spl16_9
| spl16_56
| spl16_139
| ~ spl16_150
| ~ spl16_379 ),
inference(rat,[],[s9598]) ).
cnf(s9776,plain,
( ~ spl16_10
| spl16_35
| ~ spl16_66
| ~ spl16_84
| spl16_133
| spl16_182
| ~ spl16_564 ),
inference(sat_conversion,[],[f106725]) ).
cnf(s9782,plain,
( spl16_72
| spl16_206
| ~ spl16_534 ),
inference(sat_conversion,[],[f106790]) ).
cnf(s9877,plain,
( ~ spl16_6
| ~ spl16_10
| ~ spl16_11
| ~ spl16_39
| spl16_182
| ~ spl16_202
| ~ spl16_375
| ~ spl16_406 ),
inference(sat_conversion,[],[f109656]) ).
cnf(s9883,plain,
( ~ spl16_3
| spl16_20
| ~ spl16_559
| spl16_692 ),
inference(sat_conversion,[],[f109700]) ).
cnf(s9916,plain,
( ~ spl16_2
| ~ spl16_14
| ~ spl16_15
| spl16_26
| ~ spl16_57
| ~ spl16_134
| spl16_182
| spl16_322 ),
inference(sat_conversion,[],[f109812]) ).
cnf(s10046,plain,
( ~ spl16_15
| spl16_41
| spl16_110
| ~ spl16_120
| spl16_418 ),
inference(sat_conversion,[],[f110119]) ).
cnf(s10051,plain,
( ~ spl16_2
| ~ spl16_134
| spl16_139
| spl16_182
| spl16_322 ),
inference(sat_conversion,[],[f110130]) ).
cnf(s10321,plain,
( ~ spl16_3
| spl16_20
| ~ spl16_39
| ~ spl16_692 ),
inference(sat_conversion,[],[f111932]) ).
cnf(s11954,plain,
( ~ spl16_2
| ~ spl16_3
| ~ spl16_14
| spl16_20
| ~ spl16_33
| spl16_35
| ~ spl16_39
| ~ spl16_83
| ~ spl16_84
| spl16_182
| ~ spl16_202
| ~ spl16_239
| ~ spl16_322
| ~ spl16_323 ),
inference(sat_conversion,[],[f166506]) ).
cnf(s12049,plain,
( ~ spl16_16
| ~ spl16_83
| ~ spl16_108
| spl16_626 ),
inference(sat_conversion,[],[f166820]) ).
cnf(s12792,plain,
( ~ spl16_17
| spl16_47
| ~ spl16_62
| ~ spl16_202
| spl16_1126 ),
inference(sat_conversion,[],[f170603]) ).
cnf(s12872,plain,
( spl16_732
| ~ spl16_1126 ),
inference(sat_conversion,[],[f173343]) ).
cnf(s13035,plain,
( ~ spl16_83
| spl16_139
| spl16_521
| ~ spl16_1053 ),
inference(sat_conversion,[],[f174430]) ).
cnf(s13101,plain,
( ~ spl16_70
| ~ spl16_83
| spl16_182
| ~ spl16_626
| ~ spl16_732 ),
inference(sat_conversion,[],[f174734]) ).
cnf(s13194,plain,
( spl16_72
| ~ spl16_83
| spl16_533 ),
inference(sat_conversion,[],[f174962]) ).
cnf(s13197,plain,
( ~ spl16_9
| ~ spl16_39
| ~ spl16_388
| spl16_564
| spl16_1053 ),
inference(sat_conversion,[],[f174977]) ).
cnf(s13274,plain,
( spl16_57
| spl16_35
| ~ spl16_33
| spl16_1 ),
inference(rat,[],[s5872,s4797,s80,s968,s16,s15,s13,s5195,s14,s5194,s201]) ).
cnf(s13278,plain,
( spl16_83
| ~ spl16_45
| ~ spl16_57
| ~ spl16_239
| ~ spl16_33
| spl16_26
| ~ spl16_323
| spl16_1 ),
inference(rat,[],[s1386,s2329,s9916,s5789,s5191,s5935,s13,s2,s1,s763,s14,s533]) ).
cnf(s13279,plain,
( ~ spl16_33
| spl16_26
| spl16_20
| spl16_18
| spl16_1 ),
inference(rat,[],[s11954,s130,s1452,s6863,s8228,s13278,s55,s5603,s763,s13274,s5194,s6401,s14,s13,s2,s1,s5600,s4779,s20,s3,s17,s4]) ).
cnf(s13280,plain,
( spl16_83
| ~ spl16_41
| spl16_39
| ~ spl16_28
| spl16_206
| ~ spl16_323
| spl16_1 ),
inference(rat,[],[s2816,s1180,s4614,s1181,s5317,s7117,s5935,s5815,s2,s1,s528,s5319,s15]) ).
cnf(s13281,plain,
( spl16_26
| spl16_20
| spl16_18
| spl16_1 ),
inference(rat,[],[s8362,s1452,s13280,s823,s80,s6616,s763,s6013,s116,s13279,s15,s14,s2,s1,s5600,s21,s6766,s16,s5805,s4776,s20,s17,s4,s19,s3,s1268]) ).
cnf(s13282,plain,
( ~ spl16_57
| ~ spl16_26
| ~ spl16_22
| spl16_18 ),
inference(rat,[],[s5478,s5609]) ).
cnf(s13283,plain,
( ~ spl16_33
| spl16_57
| ~ spl16_187
| spl16_1 ),
inference(rat,[],[s13274,s6401,s13]) ).
cnf(s13284,plain,
( spl16_320
| ~ spl16_26
| ~ spl16_22
| ~ spl16_19
| ~ spl16_4 ),
inference(rat,[],[s5284,s5287,s5088]) ).
cnf(s13285,plain,
( ~ spl16_83
| spl16_534
| spl16_72
| ~ spl16_26 ),
inference(rat,[],[s8846,s13194,s8373]) ).
cnf(s13286,plain,
( spl16_20
| spl16_18
| spl16_1 ),
inference(rat,[],[s603,s5087,s5301,s2826,s2136,s1447,s13285,s13284,s9782,s284,s5319,s6534,s116,s13283,s13282,s13281,s5805,s4776,s4779,s19,s20,s16,s15,s3,s17,s4]) ).
cnf(s13287,plain,
( spl16_26
| spl16_18
| spl16_1 ),
inference(rat,[],[s6718,s80,s968,s763,s81,s16,s15,s14,s2,s1,s39,s17,s4,s5603,s5998,s13286,s3,s1268]) ).
cnf(s13288,plain,
( spl16_83
| spl16_322
| spl16_379
| spl16_182
| ~ spl16_57
| ~ spl16_20
| spl16_1 ),
inference(rat,[],[s452,s6801,s5789,s810,s13,s1]) ).
cnf(s13289,plain,
( spl16_182
| ~ spl16_33
| ~ spl16_57
| spl16_18
| spl16_1 ),
inference(rat,[],[s7136,s130,s6863,s13288,s8796,s5632,s5917,s4827,s6809,s5337,s8887,s6440,s523,s14,s13,s2,s1,s40,s17,s4,s13286,s5905,s5478,s13287,s83,s533]) ).
cnf(s13290,plain,
( ~ spl16_33
| ~ spl16_57
| spl16_18
| spl16_1 ),
inference(rat,[],[s6787,s1020,s1162,s2826,s2193,s1841,s1922,s1452,s13289,s13,s3,s2,s1,s17,s5997,s13286,s4,s13287,s533]) ).
cnf(s13291,plain,
( ~ spl16_28
| spl16_18
| spl16_1 ),
inference(rat,[],[s5319,s6534,s16,s15,s5603,s5998,s13286,s3,s13287]) ).
cnf(s13292,plain,
( spl16_18
| spl16_1 ),
inference(rat,[],[s6402,s6718,s13274,s80,s968,s13290,s116,s13291,s39,s13286,s17,s16,s15,s13,s4,s1268]) ).
cnf(s13293,plain,
( ~ spl16_33
| spl16_39
| spl16_20
| spl16_1 ),
inference(rat,[],[s6763,s85,s5195,s14,s2,s1,s5425,s5600,s3,s13292]) ).
cnf(s13294,plain,
( spl16_39
| spl16_20
| spl16_1 ),
inference(rat,[],[s5319,s6534,s116,s13293,s16,s15,s61,s20,s4,s13292]) ).
cnf(s13295,plain,
( ~ spl16_57
| spl16_20
| spl16_1 ),
inference(rat,[],[s1238,s5376,s13,s4,s13292,s5600,s13294]) ).
cnf(s13296,plain,
( ~ spl16_33
| spl16_41
| spl16_24
| ~ spl16_15 ),
inference(rat,[],[s84,s85]) ).
cnf(s13297,plain,
( spl16_83
| spl16_182
| spl16_20
| spl16_1 ),
inference(rat,[],[s6740,s10051,s6680,s5789,s4832,s10046,s5334,s5370,s6209,s5935,s13,s1,s43,s5934,s19,s5418,s14,s6718,s80,s15,s16,s5425,s5600,s3,s13292,s5337,s4827,s968,s13295,s1268]) ).
cnf(s13298,plain,
( spl16_182
| spl16_20
| spl16_1 ),
inference(rat,[],[s12872,s12792,s13101,s6863,s12049,s13297,s16,s15,s6697,s5600,s3,s13292,s8379,s9883,s10321,s13294,s2,s1,s5029,s4827,s968,s13295]) ).
cnf(s13299,plain,
( spl16_20
| spl16_1 ),
inference(rat,[],[s1686,s4388,s1326,s1778,s2329,s1618,s1452,s13298,s6718,s80,s968,s13295,s13294,s5425,s5600,s16,s15,s3,s2,s1,s13292,s533,s1268]) ).
cnf(s13300,plain,
( ~ spl16_33
| ~ spl16_57
| spl16_1 ),
inference(rat,[],[s823,s4783,s1578,s5632,s5478,s81,s201,s13296,s84,s5195,s16,s15,s14,s2,s1,s5440,s69,s3,s1250,s4,s13,s13292,s13299]) ).
cnf(s13301,plain,
( ~ spl16_57
| spl16_1 ),
inference(rat,[],[s6558,s5632,s6755,s5478,s284,s5378,s6013,s116,s13300,s1250,s15,s13,s35,s13299,s64,s13292,s4,s16,s1268]) ).
cnf(s13302,plain,
spl16_1,
inference(rat,[],[s6013,s6674,s116,s6345,s13296,s737,s5758,s5029,s5576,s823,s4827,s80,s968,s13301,s189,s35,s1761,s5440,s13299,s64,s69,s13292,s1,s2,s3,s4,s14,s15,s16,s1268]) ).
cnf(s13303,plain,
spl16_13,
inference(rat,[],[s12,s13302]) ).
cnf(s13304,plain,
spl16_12,
inference(rat,[],[s11,s13302]) ).
cnf(s13305,plain,
spl16_11,
inference(rat,[],[s10,s13302]) ).
cnf(s13306,plain,
spl16_10,
inference(rat,[],[s9,s13302]) ).
cnf(s13307,plain,
spl16_9,
inference(rat,[],[s8,s13302]) ).
cnf(s13308,plain,
spl16_8,
inference(rat,[],[s7,s13302]) ).
cnf(s13309,plain,
spl16_7,
inference(rat,[],[s6,s13302]) ).
cnf(s13310,plain,
spl16_6,
inference(rat,[],[s5,s13302]) ).
cnf(s13314,plain,
( spl16_83
| spl16_182
| spl16_39 ),
inference(rat,[],[s7821,s6333,s718,s6747,s5125,s5946,s603,s5301,s5126,s440,s13304,s13303,s13310,s13309]) ).
cnf(s13316,plain,
( spl16_47
| ~ spl16_388
| spl16_39
| spl16_56 ),
inference(rat,[],[s8956,s7417,s13307,s13308]) ).
cnf(s13319,plain,
~ spl16_56,
inference(rat,[],[s523,s1922,s533]) ).
cnf(s13320,plain,
( spl16_196
| spl16_296
| ~ spl16_76
| ~ spl16_182 ),
inference(rat,[],[s3379,s918,s437,s605,s1452,s13304,s13307,s13308,s13319]) ).
cnf(s13326,plain,
( ~ spl16_79
| spl16_182
| spl16_39
| spl16_26 ),
inference(rat,[],[s421,s6512,s8369,s6510,s8852,s13316,s4990,s706,s13309,s13304,s13319]) ).
cnf(s13328,plain,
( ~ spl16_182
| ~ spl16_39
| ~ spl16_26 ),
inference(rat,[],[s1320,s2826,s2329,s1452,s13304]) ).
cnf(s13329,plain,
( spl16_83
| ~ spl16_79
| spl16_182 ),
inference(rat,[],[s603,s5125,s5301,s5126,s440,s13310]) ).
cnf(s13330,plain,
( spl16_196
| ~ spl16_139
| ~ spl16_83
| spl16_24 ),
inference(rat,[],[s7234,s437,s605,s13307,s533,s13308,s13319]) ).
cnf(s13331,plain,
( ~ spl16_79
| ~ spl16_39
| ~ spl16_26 ),
inference(rat,[],[s5128,s5102,s13330,s8373,s13329,s8369,s8852,s4990,s13328,s13310,s13304]) ).
cnf(s13332,plain,
( spl16_83
| spl16_54
| ~ spl16_80
| spl16_182 ),
inference(rat,[],[s5460,s6330,s6672,s13306,s13305]) ).
cnf(s13333,plain,
( ~ spl16_388
| spl16_41
| ~ spl16_83
| ~ spl16_39 ),
inference(rat,[],[s6627,s8956,s9058,s13308,s13307,s533]) ).
cnf(s13334,plain,
( ~ spl16_39
| ~ spl16_26 ),
inference(rat,[],[s9206,s9877,s6508,s13333,s7819,s6863,s13332,s7821,s114,s4995,s718,s13331,s13328,s13303,s13304,s13306,s13305,s13310]) ).
cnf(s13335,plain,
( ~ spl16_24
| ~ spl16_81
| spl16_139
| ~ spl16_182
| spl16_83 ),
inference(rat,[],[s2130,s1593,s2326,s9599,s4832,s2579,s2310,s13310,s533,s13307,s13308,s13319,s13306,s13305]) ).
cnf(s13336,plain,
( spl16_196
| spl16_24
| ~ spl16_81
| ~ spl16_182 ),
inference(rat,[],[s2494,s437,s605,s13307,s1268,s13308,s13319]) ).
cnf(s13338,plain,
( spl16_182
| ~ spl16_26 ),
inference(rat,[],[s7734,s13314,s8488,s13334,s13305,s13306]) ).
cnf(s13340,plain,
( spl16_79
| ~ spl16_83
| spl16_182
| ~ spl16_39 ),
inference(rat,[],[s9206,s9877,s6508,s13333,s4995,s7819,s718,s6863,s13310,s13305,s13306,s13303]) ).
cnf(s13341,plain,
( spl16_35
| ~ spl16_564
| ~ spl16_83
| spl16_133
| spl16_182 ),
inference(rat,[],[s9776,s130,s201,s13306]) ).
cnf(s13342,plain,
( ~ spl16_35
| spl16_194
| spl16_182
| spl16_26 ),
inference(rat,[],[s5244,s741,s13306]) ).
cnf(s13343,plain,
( ~ spl16_83
| spl16_182
| ~ spl16_39
| spl16_26 ),
inference(rat,[],[s13035,s13197,s9033,s6510,s6512,s421,s8369,s8852,s4990,s13341,s13340,s8513,s9042,s13342,s4944,s13307,s13309,s13304,s1268,s13305,s533]) ).
cnf(s13344,plain,
( spl16_83
| spl16_182 ),
inference(rat,[],[s13332,s7821,s114,s718,s13329,s13303,s13304]) ).
cnf(s13345,plain,
( spl16_182
| ~ spl16_39
| spl16_26 ),
inference(rat,[],[s13344,s13343]) ).
cnf(s13352,plain,
( spl16_182
| spl16_26 ),
inference(rat,[],[s5301,s9599,s605,s4832,s609,s7592,s7819,s718,s8513,s13326,s13344,s13345,s13303,s13309,s13319,s13308,s13307]) ).
cnf(s13353,plain,
spl16_182,
inference(rat,[],[s13352,s13338]) ).
cnf(s13355,plain,
~ spl16_83,
inference(rat,[],[s1452,s13353]) ).
cnf(s13358,plain,
~ spl16_325,
inference(rat,[],[s4267,s13355]) ).
cnf(s13361,plain,
( spl16_284
| ~ spl16_79 ),
inference(rat,[],[s2462,s2932,s2325,s5088,s4294,s421,s2310,s2579,s1320,s13353,s13308,s13307,s13358,s13309,s13355,s13305,s13306,s13304]) ).
cnf(s13362,plain,
~ spl16_79,
inference(rat,[],[s4655,s5125,s13320,s975,s4185,s13361,s4990,s13355,s13310,s13353,s13306,s13305,s1268,s13304]) ).
cnf(s13363,plain,
~ spl16_39,
inference(rat,[],[s2329,s13353,s13362]) ).
cnf(s13364,plain,
~ spl16_76,
inference(rat,[],[s718,s13303,s13362]) ).
cnf(s13367,plain,
~ spl16_139,
inference(rat,[],[s1949,s13353,s13363]) ).
cnf(s13368,plain,
spl16_81,
inference(rat,[],[s4995,s13303,s13364]) ).
cnf(s13371,plain,
~ spl16_24,
inference(rat,[],[s13335,s13355,s13353,s13367,s13368]) ).
cnf(s13373,plain,
spl16_196,
inference(rat,[],[s13336,s13353,s13368,s13371]) ).
cnf(s13376,plain,
spl16_158,
inference(rat,[],[s2598,s13353,s13373]) ).
cnf(s13378,plain,
spl16_474,
inference(rat,[],[s5946,s13309,s13373]) ).
cnf(s13379,plain,
spl16_41,
inference(rat,[],[s609,s13363,s13309,s13373]) ).
cnf(s13387,plain,
~ spl16_378,
inference(rat,[],[s6747,s13363,s13378]) ).
cnf(s13390,plain,
spl16_284,
inference(rat,[],[s1267,s13353,s13379]) ).
cnf(s13395,plain,
spl16_379,
inference(rat,[],[s4774,s13376,s13355,s13309,s13387]) ).
cnf(s13401,plain,
~ spl16_162,
inference(rat,[],[s4185,s13355,s1268,s13353,s13305,s13390]) ).
cnf(s13408,plain,
~ spl16_150,
inference(rat,[],[s9599,s13367,s13319,s13308,s13307,s13395]) ).
cnf(s13410,plain,
~ spl16_296,
inference(rat,[],[s975,s13353,s13306,s13355,s13401]) ).
cnf(s13414,plain,
spl16_320,
inference(rat,[],[s2326,s13353,s533,s13408]) ).
cnf(s13422,plain,
~ spl16_264,
inference(rat,[],[s1679,s13371,s13414]) ).
cnf(s13423,plain,
$false,
inference(rat,[],[s2719,s13410,s13353,s13414,s13422]) ).
fof(f175131,plain,
$false,
inference(avatar_sat_refutation,[],[s13423]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN076+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n010.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 15:32:03 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.52/2.44 % (2006695)Detected formulas, will run a generic FOF schedule.
% 12.52/2.44 % (2006700)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=3925726066:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.52/2.44 % (2006701)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=924878318:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.52/2.44 % (2006703)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3620818254:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.52/2.44 % (2006702)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=488733864:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.52/2.44 % (2006705)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1090186972:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.52/2.44 % (2006706)dis-21_1_sil=8000:lcm=predicate:random_seed=2330845295: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)
% 12.52/2.44 % (2006704)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4271325658:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.52/2.44 % (2006703)Instruction limit reached!
% 12.52/2.44 % (2006703)------------------------------
% 12.52/2.44 % (2006703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.52/2.44 % (2006703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.44 % (2006703)CaDiCaL version: 2.1.3
% 12.52/2.44 % (2006703)Termination reason: Instruction limit
% 12.52/2.44 % (2006703)Termination phase: Saturation
% 12.52/2.44 % (2006703)Time elapsed: 0.062 s
% 12.52/2.44 % (2006703)Peak memory usage: 89 MB
% 12.52/2.44 % (2006703)Instructions burned: 109 (million)
% 12.52/2.44 % (2006704)Instruction limit reached!
% 12.52/2.44 % (2006704)------------------------------
% 12.52/2.44 % (2006704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.52/2.44 % (2006704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.44 % (2006704)CaDiCaL version: 2.1.3
% 12.52/2.44 % (2006704)Termination reason: Instruction limit
% 12.52/2.44 % (2006704)Termination phase: Saturation
% 12.52/2.44 % (2006704)Time elapsed: 0.065 s
% 12.52/2.44 % (2006704)Peak memory usage: 88 MB
% 12.52/2.44 % (2006704)Instructions burned: 119 (million)
% 12.52/2.44 % (2006705)Instruction limit reached!
% 12.52/2.44 % (2006705)------------------------------
% 12.52/2.44 % (2006705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.52/2.44 % (2006705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.44 % (2006705)CaDiCaL version: 2.1.3
% 12.52/2.44 % (2006705)Termination reason: Instruction limit
% 12.52/2.44 % (2006705)Termination phase: Saturation
% 12.52/2.44 % (2006705)Time elapsed: 0.067 s
% 12.52/2.44 % (2006705)Peak memory usage: 88 MB
% 12.52/2.44 % (2006705)Instructions burned: 141 (million)
% 12.52/2.44 % (2006706)Instruction limit reached!
% 12.52/2.44 % (2006706)------------------------------
% 12.52/2.44 % (2006706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.52/2.44 % (2006706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.44 % (2006706)CaDiCaL version: 2.1.3
% 12.52/2.44 % (2006706)Termination reason: Instruction limit
% 12.52/2.44 % (2006706)Termination phase: Saturation
% 12.52/2.44 % (2006706)Time elapsed: 0.075 s
% 12.52/2.44 % (2006706)Peak memory usage: 89 MB
% 12.52/2.44 % (2006706)Instructions burned: 130 (million)
% 12.52/2.44 % (2006715)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2818891065:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.52/2.44 % (2006714)lrs+10_1_sil=8000:sp=occurrence:random_seed=3046224249:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.52/2.44 % (2006716)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1275473622:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.52/2.44 % (2006717)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3081211880:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 12.52/2.44 % (2006715)Instruction limit reached!
% 18.30/3.30 % (2006715)------------------------------
% 18.30/3.30 % (2006715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/3.30 % (2006715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/3.30 % (2006715)CaDiCaL version: 2.1.3
% 18.30/3.30 % (2006715)Termination reason: Instruction limit
% 18.30/3.30 % (2006715)Termination phase: Saturation
% 18.30/3.30 % (2006715)Time elapsed: 0.072 s
% 18.30/3.30 % (2006715)Peak memory usage: 89 MB
% 18.30/3.30 % (2006715)Instructions burned: 157 (million)
% 18.30/3.30 % (2006714)Instruction limit reached!
% 18.30/3.30 % (2006714)------------------------------
% 18.30/3.30 % (2006714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/3.30 % (2006714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/3.30 % (2006714)CaDiCaL version: 2.1.3
% 18.30/3.30 % (2006714)Termination reason: Instruction limit
% 18.30/3.30 % (2006714)Termination phase: Saturation
% 18.30/3.30 % (2006714)Time elapsed: 0.132 s
% 18.30/3.30 % (2006714)Peak memory usage: 89 MB
% 18.30/3.30 % (2006714)Instructions burned: 287 (million)
% 18.30/3.30 % (2006717)Instruction limit reached!
% 18.30/3.30 % (2006717)------------------------------
% 18.30/3.30 % (2006717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/3.30 % (2006717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/3.30 % (2006717)CaDiCaL version: 2.1.3
% 18.30/3.30 % (2006717)Termination reason: Instruction limit
% 18.30/3.30 % (2006717)Termination phase: Saturation
% 18.30/3.30 % (2006717)Time elapsed: 0.128 s
% 18.30/3.30 % (2006717)Peak memory usage: 90 MB
% 18.30/3.30 % (2006717)Instructions burned: 249 (million)
% 18.30/3.30 % (2006716)Instruction limit reached!
% 18.30/3.30 % (2006716)------------------------------
% 18.30/3.30 % (2006716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/3.30 % (2006716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/3.30 % (2006716)CaDiCaL version: 2.1.3
% 18.30/3.30 % (2006716)Termination reason: Instruction limit
% 18.30/3.30 % (2006716)Termination phase: Saturation
% 18.30/3.30 % (2006716)Time elapsed: 0.182 s
% 18.30/3.30 % (2006716)Peak memory usage: 90 MB
% 18.30/3.30 % (2006716)Instructions burned: 325 (million)
% 18.30/3.30 % (2006722)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1053878449:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.30/3.30 % (2006723)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2758077972:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.30/3.30 % (2006724)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1102826787:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 18.30/3.30 % (2006725)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3810922484:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 18.30/3.30 % (2006724)Instruction limit reached!
% 18.30/3.30 % (2006724)------------------------------
% 18.30/3.30 % (2006724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/3.30 % (2006724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/3.30 % (2006724)CaDiCaL version: 2.1.3
% 18.30/3.30 % (2006724)Termination reason: Instruction limit
% 18.30/3.30 % (2006724)Termination phase: Saturation
% 18.30/3.30 % (2006724)Time elapsed: 0.069 s
% 18.30/3.30 % (2006724)Peak memory usage: 89 MB
% 18.30/3.30 % (2006724)Instructions burned: 113 (million)
% 18.30/3.30 % (2006722)Instruction limit reached!
% 18.30/3.30 % (2006722)------------------------------
% 18.30/3.30 % (2006722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/3.30 % (2006722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/3.30 % (2006722)CaDiCaL version: 2.1.3
% 18.30/3.30 % (2006722)Termination reason: Instruction limit
% 18.30/3.30 % (2006722)Termination phase: Saturation
% 18.30/3.30 % (2006722)Time elapsed: 0.152 s
% 18.30/3.30 % (2006722)Peak memory usage: 89 MB
% 18.30/3.30 % (2006722)Instructions burned: 296 (million)
% 18.30/3.30 % (2006725)Instruction limit reached!
% 18.30/3.30 % (2006725)------------------------------
% 18.30/3.30 % (2006725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/3.30 % (2006725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/3.30 % (2006725)CaDiCaL version: 2.1.3
% 18.30/3.30 % (2006725)Termination reason: Instruction limit
% 18.30/3.30 % (2006725)Termination phase: Saturation
% 38.66/6.10 % (2006725)Time elapsed: 0.061 s
% 38.66/6.10 % (2006725)Peak memory usage: 88 MB
% 38.66/6.10 % (2006725)Instructions burned: 127 (million)
% 38.66/6.10 % (2006730)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3440331094:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 38.66/6.10 % (2006731)lrs+10_1_sil=8000:sp=occurrence:random_seed=1023414172:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 38.66/6.10 % (2006732)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1657434356:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 38.66/6.10 % (2006730)Instruction limit reached!
% 38.66/6.10 % (2006730)------------------------------
% 38.66/6.10 % (2006730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.66/6.10 % (2006730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.66/6.10 % (2006730)CaDiCaL version: 2.1.3
% 38.66/6.10 % (2006730)Termination reason: Instruction limit
% 38.66/6.10 % (2006730)Termination phase: Saturation
% 38.66/6.10 % (2006730)Time elapsed: 0.056 s
% 38.66/6.10 % (2006730)Peak memory usage: 89 MB
% 38.66/6.10 % (2006730)Instructions burned: 116 (million)
% 38.66/6.10 % (2006736)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1976876369:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 38.66/6.10 % (2006732)Instruction limit reached!
% 38.66/6.10 % (2006732)------------------------------
% 38.66/6.10 % (2006732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.66/6.10 % (2006732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.66/6.10 % (2006732)CaDiCaL version: 2.1.3
% 38.66/6.10 % (2006732)Termination reason: Instruction limit
% 38.66/6.10 % (2006732)Termination phase: Saturation
% 38.66/6.10 % (2006732)Time elapsed: 0.240 s
% 38.66/6.10 % (2006732)Peak memory usage: 91 MB
% 38.66/6.10 % (2006732)Instructions burned: 438 (million)
% 38.66/6.10 % (2006738)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4060407236:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 38.66/6.10 % (2006738)Refutation not found, incomplete strategy
% 38.66/6.10 % (2006738)------------------------------
% 38.66/6.10 % (2006738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.66/6.10 % (2006738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.66/6.10 % (2006738)CaDiCaL version: 2.1.3
% 38.66/6.10 % (2006738)Termination reason: Refutation not found, incomplete strategy
% 38.66/6.10 % (2006738)Time elapsed: 0.003 s
% 38.66/6.10 % (2006738)Peak memory usage: 89 MB
% 38.66/6.10 % (2006738)Instructions burned: 4 (million)
% 38.66/6.10 % (2006731)Instruction limit reached!
% 38.66/6.10 % (2006731)------------------------------
% 38.66/6.10 % (2006731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.66/6.10 % (2006731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.66/6.10 % (2006731)CaDiCaL version: 2.1.3
% 38.66/6.10 % (2006731)Termination reason: Instruction limit
% 38.66/6.10 % (2006731)Termination phase: Saturation
% 38.66/6.10 % (2006731)Time elapsed: 0.412 s
% 38.66/6.10 % (2006731)Peak memory usage: 90 MB
% 38.66/6.10 % (2006731)Instructions burned: 907 (million)
% 38.66/6.10 % (2006740)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4272115663:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 38.66/6.10 % (2006738)------------------------------
% 38.66/6.10 % (2006738)------------------------------
% 38.66/6.10 % (2006742)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2261429957:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 38.66/6.10 % (2006740)Instruction limit reached!
% 38.66/6.10 % (2006740)------------------------------
% 38.66/6.10 % (2006740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.66/6.10 % (2006740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.66/6.10 % (2006740)CaDiCaL version: 2.1.3
% 38.66/6.10 % (2006740)Termination reason: Instruction limit
% 38.66/6.10 % (2006740)Termination phase: Saturation
% 38.66/6.10 % (2006740)Time elapsed: 0.299 s
% 38.66/6.10 % (2006740)Peak memory usage: 91 MB
% 38.66/6.10 % (2006740)Instructions burned: 593 (million)
% 38.66/6.10 % (2006744)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3168117842:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 37.43/6.92 % (2006744)Instruction limit reached!
% 37.43/6.92 % (2006744)------------------------------
% 37.43/6.92 % (2006744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006744)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006744)Termination reason: Instruction limit
% 37.43/6.92 % (2006744)Termination phase: Saturation
% 37.43/6.92 % (2006744)Time elapsed: 0.084 s
% 37.43/6.92 % (2006744)Peak memory usage: 89 MB
% 37.43/6.92 % (2006744)Instructions burned: 126 (million)
% 37.43/6.92 % (2006723)Instruction limit reached!
% 37.43/6.92 % (2006723)------------------------------
% 37.43/6.92 % (2006723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006723)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006723)Termination reason: Instruction limit
% 37.43/6.92 % (2006723)Termination phase: Saturation
% 37.43/6.92 % (2006723)Time elapsed: 1.384 s
% 37.43/6.92 % (2006723)Peak memory usage: 135 MB
% 37.43/6.92 % (2006723)Instructions burned: 2352 (million)
% 37.43/6.92 % (2006746)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4084724584:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 37.43/6.92 % (2006746)Instruction limit reached!
% 37.43/6.92 % (2006746)------------------------------
% 37.43/6.92 % (2006746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006746)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006746)Termination reason: Instruction limit
% 37.43/6.92 % (2006746)Termination phase: Saturation
% 37.43/6.92 % (2006746)Time elapsed: 0.070 s
% 37.43/6.92 % (2006746)Peak memory usage: 89 MB
% 37.43/6.92 % (2006746)Instructions burned: 135 (million)
% 37.43/6.92 % (2006747)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2559950449:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 37.43/6.92 % (2006747)Refutation not found, incomplete strategy
% 37.43/6.92 % (2006747)------------------------------
% 37.43/6.92 % (2006747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006747)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006747)Termination reason: Refutation not found, incomplete strategy
% 37.43/6.92 % (2006747)Time elapsed: 0.003 s
% 37.43/6.92 % (2006747)Peak memory usage: 89 MB
% 37.43/6.92 % (2006747)Instructions burned: 3 (million)
% 37.43/6.92 % (2006749)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2610400730:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 37.43/6.92 % (2006749)Refutation not found, incomplete strategy
% 37.43/6.92 % (2006749)------------------------------
% 37.43/6.92 % (2006749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006749)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006749)Termination reason: Refutation not found, incomplete strategy
% 37.43/6.92 % (2006749)Time elapsed: 0.002 s
% 37.43/6.92 % (2006749)Peak memory usage: 88 MB
% 37.43/6.92 % (2006749)Instructions burned: 1 (million)
% 37.43/6.92 % (2006747)------------------------------
% 37.43/6.92 % (2006747)------------------------------
% 37.43/6.92 % (2006749)------------------------------
% 37.43/6.92 % (2006749)------------------------------
% 37.43/6.92 % (2006752)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1527311454:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 37.43/6.92 % (2006753)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=897211222:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 37.43/6.92 % (2006753)Instruction limit reached!
% 37.43/6.92 % (2006753)------------------------------
% 37.43/6.92 % (2006753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006753)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006753)Termination reason: Instruction limit
% 37.43/6.92 % (2006753)Termination phase: Saturation
% 37.43/6.92 % (2006753)Time elapsed: 0.070 s
% 37.43/6.92 % (2006753)Peak memory usage: 89 MB
% 37.43/6.92 % (2006753)Instructions burned: 152 (million)
% 37.43/6.92 % (2006756)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1487977616:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 37.43/6.92 % (2006736)Instruction limit reached!
% 37.43/6.92 % (2006736)------------------------------
% 37.43/6.92 % (2006736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006736)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006736)Termination reason: Instruction limit
% 37.43/6.92 % (2006736)Termination phase: Saturation
% 37.43/6.92 % (2006736)Time elapsed: 3.195 s
% 37.43/6.92 % (2006736)Peak memory usage: 150 MB
% 37.43/6.92 % (2006736)Instructions burned: 5203 (million)
% 37.43/6.92 % (2006758)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3881932670:i=667:av=off:fsr=off_2957 on theBenchmark for (2957ds/667Mi)
% 37.43/6.92 % (2006758)Instruction limit reached!
% 37.43/6.92 % (2006758)------------------------------
% 37.43/6.92 % (2006758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006758)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006758)Termination reason: Instruction limit
% 37.43/6.92 % (2006758)Termination phase: Saturation
% 37.43/6.92 % (2006758)Time elapsed: 0.285 s
% 37.43/6.92 % (2006758)Peak memory usage: 99 MB
% 37.43/6.92 % (2006758)Instructions burned: 668 (million)
% 37.43/6.92 % (2006760)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1239396388:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 37.43/6.92 % (2006760)Instruction limit reached!
% 37.43/6.92 % (2006760)------------------------------
% 37.43/6.92 % (2006760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006760)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006760)Termination reason: Instruction limit
% 37.43/6.92 % (2006760)Termination phase: Saturation
% 37.43/6.92 % (2006760)Time elapsed: 0.118 s
% 37.43/6.92 % (2006760)Peak memory usage: 91 MB
% 37.43/6.92 % (2006760)Instructions burned: 186 (million)
% 37.43/6.92 % (2006762)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3348348427:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 37.43/6.92 % (2006762)Instruction limit reached!
% 37.43/6.92 % (2006762)------------------------------
% 37.43/6.92 % (2006762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006762)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006762)Termination reason: Instruction limit
% 37.43/6.92 % (2006762)Termination phase: Saturation
% 37.43/6.92 % (2006762)Time elapsed: 0.119 s
% 37.43/6.92 % (2006762)Peak memory usage: 90 MB
% 37.43/6.92 % (2006762)Instructions burned: 194 (million)
% 37.43/6.92 % (2006764)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3888205142:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2948 on theBenchmark for (2948ds/4850Mi)
% 37.43/6.92 % (2006764)Refutation not found, incomplete strategy
% 37.43/6.92 % (2006764)------------------------------
% 37.43/6.92 % (2006764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006764)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006764)Termination reason: Refutation not found, incomplete strategy
% 37.43/6.92 % (2006764)Time elapsed: 0.001 s
% 37.43/6.92 % (2006764)Peak memory usage: 88 MB
% 37.43/6.92 % (2006764)Instructions burned: 1 (million)
% 37.43/6.92 % (2006702)Refutation not found, incomplete strategy
% 37.43/6.92 % (2006702)------------------------------
% 37.43/6.92 % (2006702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006702)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006702)Termination reason: Refutation not found, incomplete strategy
% 37.43/6.92 % (2006702)Time elapsed: 5.316 s
% 37.43/6.92 % (2006702)Peak memory usage: 166 MB
% 37.43/6.92 % (2006702)Instructions burned: 9606 (million)
% 37.43/6.92 % (2006764)------------------------------
% 37.43/6.92 % (2006764)------------------------------
% 37.43/6.92 % (2006766)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1486849354:i=12111:sd=1:ss=included_2944 on theBenchmark for (2944ds/12111Mi)
% 37.43/6.92 % (2006702)------------------------------
% 37.43/6.92 % (2006702)------------------------------
% 37.43/6.92 % (2006768)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2961774644:i=319:kws=precedence:fsr=off_2942 on theBenchmark for (2942ds/319Mi)
% 37.43/6.92 % (2006768)Instruction limit reached!
% 37.43/6.92 % (2006768)------------------------------
% 37.43/6.92 % (2006768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006768)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006768)Termination reason: Instruction limit
% 37.43/6.92 % (2006768)Termination phase: Saturation
% 37.43/6.92 % (2006768)Time elapsed: 0.166 s
% 37.43/6.92 % (2006768)Peak memory usage: 90 MB
% 37.43/6.92 % (2006768)Instructions burned: 320 (million)
% 37.43/6.92 % (2006700)First to succeed.
% 37.43/6.92 % (2006700)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2006695"
% 37.43/6.92 % (2006770)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1872368753:i=2064:ep=RST_2939 on theBenchmark for (2939ds/2064Mi)
% 37.43/6.92 % (2006770)Refutation not found, incomplete strategy
% 37.43/6.92 % (2006770)------------------------------
% 37.43/6.92 % (2006770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006770)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006770)Termination reason: Refutation not found, incomplete strategy
% 37.43/6.92 % (2006770)Time elapsed: 0.002 s
% 37.43/6.92 % (2006770)Peak memory usage: 88 MB
% 37.43/6.92 % (2006770)Instructions burned: 1 (million)
% 37.43/6.92 % (2006752)Instruction limit reached!
% 37.43/6.92 % (2006752)------------------------------
% 37.43/6.92 % (2006752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.43/6.92 % (2006752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/6.92 % (2006752)CaDiCaL version: 2.1.3
% 37.43/6.92 % (2006752)Termination reason: Instruction limit
% 37.43/6.92 % (2006752)Termination phase: Saturation
% 37.43/6.92 % (2006752)Time elapsed: 3.656 s
% 37.43/6.92 % (2006752)Peak memory usage: 149 MB
% 37.43/6.92 % (2006752)Instructions burned: 6061 (million)
% 37.43/6.92 % (2006700)Refutation found. Thanks to Tanya!
% 37.43/6.92 % SZS status Theorem for theBenchmark
% 37.43/6.92 % SZS output start Proof for theBenchmark
% See solution above
% 45.09/7.06 % (2006700)------------------------------
% 45.09/7.06 % (2006700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.09/7.06 % (2006700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.09/7.06 % (2006700)CaDiCaL version: 2.1.3
% 45.09/7.06 % (2006700)Termination reason: Refutation
% 45.09/7.06 % (2006700)Time elapsed: 6.0000 s
% 45.09/7.06 % (2006700)Peak memory usage: 186 MB
% 45.09/7.06 % (2006700)Instructions burned: 20699 (million)
% 45.09/7.06 % (2006700)------------------------------
% 45.09/7.06 % (2006700)------------------------------
% 45.09/7.06 % (2006695)Success in time 6.285 s
% 45.09/7.06 % Vampire exiting
%------------------------------------------------------------------------------