%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET741+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:41:47 PM UTC 2026
% Result : Theorem 38.72s 7.17s
% Output : Refutation 45.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 95
% Syntax : Number of formulae : 648 ( 100 unt; 89 def)
% Number of atoms : 2676 ( 146 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 3852 (1824 ~;1812 |; 99 &)
% ( 100 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 97 ( 95 usr; 87 prp; 0-5 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-5 aty)
% Number of variables : 881 ( 0 sgn 847 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X2)
& member(X6,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X6) )
=> X5 = X6 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f14,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( member(X5,X2)
& member(X6,X4) )
=> ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).
fof(f17,axiom,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X4,X5) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injective) ).
fof(f18,axiom,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X0,X4,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surjective) ).
fof(f19,axiom,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
<=> ( injective(X0,X1,X2)
& surjective(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_to_one) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( maps(X0,X3,X4)
& maps(X1,X4,X5)
& maps(X2,X5,X3)
& injective(compose_function(X2,compose_function(X1,X0,X3,X4,X5),X3,X5,X3),X3,X3)
& surjective(compose_function(X0,compose_function(X2,X1,X4,X5,X3),X4,X3,X4),X4,X4)
& surjective(compose_function(X1,compose_function(X0,X2,X5,X3,X4),X5,X4,X5),X5,X5) )
=> one_to_one(X2,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII32) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( maps(X0,X3,X4)
& maps(X1,X4,X5)
& maps(X2,X5,X3)
& injective(compose_function(X2,compose_function(X1,X0,X3,X4,X5),X3,X5,X3),X3,X3)
& surjective(compose_function(X0,compose_function(X2,X1,X4,X5,X3),X4,X3,X4),X4,X4)
& surjective(compose_function(X1,compose_function(X0,X2,X5,X3,X4),X5,X4,X5),X5,X5) )
=> one_to_one(X2,X5,X3) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X6,X2)
& member(X7,X2) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X5,X7) )
=> X6 = X7 ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
& surjective(X0,X1,X2) )
=> one_to_one(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f33,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X6,X2)
& member(X7,X2) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X5,X7) )
=> X6 = X7 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f34,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ one_to_one(X2,X5,X3)
& maps(X0,X3,X4)
& maps(X1,X4,X5)
& maps(X2,X5,X3)
& injective(compose_function(X2,compose_function(X1,X0,X3,X4,X5),X3,X5,X3),X3,X3)
& surjective(compose_function(X0,compose_function(X2,X1,X4,X5,X3),X4,X3,X4),X4,X4)
& surjective(compose_function(X1,compose_function(X0,X2,X5,X3,X4),X5,X4,X5),X5,X5) ),
inference(ennf_transformation,[],[f30]) ).
fof(f35,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ one_to_one(X2,X5,X3)
& maps(X0,X3,X4)
& maps(X1,X4,X5)
& maps(X2,X5,X3)
& injective(compose_function(X2,compose_function(X1,X0,X3,X4,X5),X3,X5,X3),X3,X3)
& surjective(compose_function(X0,compose_function(X2,X1,X4,X5,X3),X4,X3,X4),X4,X4)
& surjective(compose_function(X1,compose_function(X0,X2,X5,X3,X4),X5,X4,X5),X5,X5) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
| ~ injective(X0,X1,X2)
| ~ surjective(X0,X1,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f39,plain,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
| ~ injective(X0,X1,X2)
| ~ surjective(X0,X1,X2) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( X3 = X4
| ~ apply(X0,X3,X5)
| ~ apply(X0,X4,X5)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X2) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f41,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( X3 = X4
| ~ apply(X0,X3,X5)
| ~ apply(X0,X4,X5)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X2) ) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(ennf_transformation,[],[f14]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( member(X4,X1)
& apply(X0,X4,X3) )
| ~ member(X3,X2) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f45,plain,
( ~ one_to_one(sK2,sK5,sK3)
& maps(sK0,sK3,sK4)
& maps(sK1,sK4,sK5)
& maps(sK2,sK5,sK3)
& injective(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),sK3,sK3)
& surjective(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK4)
& surjective(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f35]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( member(sK6(X0,X2,X3),X2)
& apply(X0,X3,sK6(X0,X2,X3)) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X4,sK6(X0,X2,X3))],[f37]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
| ? [X3,X4,X5] :
( X3 != X4
& apply(X0,X3,X5)
& apply(X0,X4,X5)
& member(X3,X1)
& member(X4,X1)
& member(X5,X2) ) )
& ( ! [X3,X4,X5] :
( X3 = X4
| ~ apply(X0,X3,X5)
| ~ apply(X0,X4,X5)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X2) )
| ~ injective(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
| ? [X3,X4,X5] :
( X3 != X4
& apply(X0,X3,X5)
& apply(X0,X4,X5)
& member(X3,X1)
& member(X4,X1)
& member(X5,X2) ) )
& ( ! [X6,X7,X8] :
( X6 = X7
| ~ apply(X0,X6,X8)
| ~ apply(X0,X7,X8)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ member(X8,X2) )
| ~ injective(X0,X1,X2) ) ),
inference(rectify,[],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
| ( sK7(X0,X1,X2) != sK8(X0,X1,X2)
& apply(X0,sK7(X0,X1,X2),sK9(X0,X1,X2))
& apply(X0,sK8(X0,X1,X2),sK9(X0,X1,X2))
& member(sK7(X0,X1,X2),X1)
& member(sK8(X0,X1,X2),X1)
& member(sK9(X0,X1,X2),X2) ) )
& ( ! [X6,X7,X8] :
( X6 = X7
| ~ apply(X0,X6,X8)
| ~ apply(X0,X7,X8)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ member(X8,X2) )
| ~ injective(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X3,sK7(X0,X1,X2)),skolemize(X4,sK8(X0,X1,X2)),skolemize(X5,sK9(X0,X1,X2))],[f48]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(nnf_transformation,[],[f43]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ? [X8] :
( member(X8,X3)
& apply(X1,X5,X8)
& apply(X0,X8,X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(rectify,[],[f50]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ( member(sK10(X0,X1,X3,X5,X6),X3)
& apply(X1,X5,sK10(X0,X1,X3,X5,X6))
& apply(X0,sK10(X0,X1,X3,X5,X6),X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X8,sK10(X0,X1,X3,X5,X6))],[f51]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,X3) )
& member(X3,X2) ) )
& ( ! [X3] :
( ? [X4] :
( member(X4,X1)
& apply(X0,X4,X3) )
| ~ member(X3,X2) )
| ~ surjective(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,X3) )
& member(X3,X2) ) )
& ( ! [X5] :
( ? [X6] :
( member(X6,X1)
& apply(X0,X6,X5) )
| ~ member(X5,X2) )
| ~ surjective(X0,X1,X2) ) ),
inference(rectify,[],[f53]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
| ( ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,sK11(X0,X1,X2)) )
& member(sK11(X0,X1,X2),X2) ) )
& ( ! [X5] :
( ( member(sK12(X0,X1,X5),X1)
& apply(X0,sK12(X0,X1,X5),X5) )
| ~ member(X5,X2) )
| ~ surjective(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X3,sK11(X0,X1,X2)),skolemize(X6,sK12(X0,X1,X5))],[f54]) ).
fof(f56,plain,
surjective(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK5),
inference(cnf_transformation,[],[f45]) ).
fof(f57,plain,
surjective(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK4),
inference(cnf_transformation,[],[f45]) ).
fof(f58,plain,
injective(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),sK3,sK3),
inference(cnf_transformation,[],[f45]) ).
fof(f59,plain,
maps(sK2,sK5,sK3),
inference(cnf_transformation,[],[f45]) ).
fof(f60,plain,
maps(sK1,sK4,sK5),
inference(cnf_transformation,[],[f45]) ).
fof(f61,plain,
maps(sK0,sK3,sK4),
inference(cnf_transformation,[],[f45]) ).
fof(f62,plain,
~ one_to_one(sK2,sK5,sK3),
inference(cnf_transformation,[],[f45]) ).
fof(f63,plain,
! [X2,X0,X1,X6,X7,X5] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( apply(X0,X3,sK6(X0,X2,X3))
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( member(sK6(X0,X2,X3),X2)
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f66,plain,
! [X2,X0,X1] :
( one_to_one(X0,X1,X2)
| ~ injective(X0,X1,X2)
| ~ surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f67,plain,
! [X2,X0,X1,X8,X6,X7] :
( X6 = X7
| ~ apply(X0,X6,X8)
| ~ apply(X0,X7,X8)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ member(X8,X2)
| ~ injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f68,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| member(sK9(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f69,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| member(sK8(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f70,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| member(sK7(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f71,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| apply(X0,sK8(X0,X1,X2),sK9(X0,X1,X2)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f72,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| apply(X0,sK7(X0,X1,X2),sK9(X0,X1,X2)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f73,plain,
! [X2,X0,X1] :
( injective(X0,X1,X2)
| sK7(X0,X1,X2) != sK8(X0,X1,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( apply(X0,sK10(X0,X1,X3,X5,X6),X6)
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f52]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( apply(X1,X5,sK10(X0,X1,X3,X5,X6))
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f52]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( member(sK10(X0,X1,X3,X5,X6),X3)
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f52]) ).
fof(f77,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f52]) ).
fof(f78,plain,
! [X2,X0,X1,X5] :
( apply(X0,sK12(X0,X1,X5),X5)
| ~ member(X5,X2)
| ~ surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f79,plain,
! [X2,X0,X1,X5] :
( member(sK12(X0,X1,X5),X1)
| ~ member(X5,X2)
| ~ surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f80,plain,
! [X2,X0,X1] :
( surjective(X0,X1,X2)
| member(sK11(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f81,plain,
! [X2,X0,X1,X4] :
( surjective(X0,X1,X2)
| ~ member(X4,X1)
| ~ apply(X0,X4,sK11(X0,X1,X2)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f82,plain,
! [X2,X0,X1,X5] :
( ~ member(X5,X1)
| ~ maps(X0,X1,X2)
| sP13(X5,X2,X0) ),
inference(cnf_transformation,[],[f82_D]) ).
fof(f82_D,definition,
! [X0,X2,X5] :
( ! [X1] :
( ~ member(X5,X1)
| ~ maps(X0,X1,X2) )
<=> ~ sP13(X5,X2,X0) ),
introduced(definition,[new_symbols(definition,[sP13])],[general_splitting_component_introduction]) ).
fof(f83,plain,
! [X2,X0,X6,X7,X5] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X6,X2)
| ~ member(X7,X2)
| ~ sP13(X5,X2,X0) ),
inference(general_splitting,[],[f63,f82_D]) ).
fof(f84,plain,
! [X2,X0,X1,X8] :
( ~ member(X8,X2)
| ~ injective(X0,X1,X2)
| sP14(X1,X0,X8) ),
inference(cnf_transformation,[],[f84_D]) ).
fof(f84_D,definition,
! [X8,X0,X1] :
( ! [X2] :
( ~ member(X8,X2)
| ~ injective(X0,X1,X2) )
<=> ~ sP14(X1,X0,X8) ),
introduced(definition,[new_symbols(definition,[sP14])],[general_splitting_component_introduction]) ).
fof(f85,plain,
! [X0,X1,X8,X6,X7] :
( X6 = X7
| ~ apply(X0,X6,X8)
| ~ apply(X0,X7,X8)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ sP14(X1,X0,X8) ),
inference(general_splitting,[],[f67,f84_D]) ).
fof(f86,plain,
! [X3,X0,X1,X6,X7,X5] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6)
| sP15(X5,X6,X0,X3,X1) ),
inference(cnf_transformation,[],[f86_D]) ).
fof(f86_D,definition,
! [X1,X3,X0,X6,X5] :
( ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) )
<=> ~ sP15(X5,X6,X0,X3,X1) ),
introduced(definition,[new_symbols(definition,[sP15])],[general_splitting_component_introduction]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X5,X2)
| ~ member(X6,X4)
| ~ sP15(X5,X6,X0,X3,X1) ),
inference(general_splitting,[],[f77,f86_D]) ).
fof(f89,definition,
( spl16_1
<=> one_to_one(sK2,sK5,sK3) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f91,plain,
( ~ one_to_one(sK2,sK5,sK3)
| spl16_1 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
~ spl16_1,
inference(avatar_split_clause,[],[f62,f89]) ).
fof(f93,plain,
( ~ injective(sK2,sK5,sK3)
| ~ surjective(sK2,sK5,sK3)
| spl16_1 ),
inference(resolution,[],[f91,f66]) ).
fof(f95,definition,
( spl16_2
<=> injective(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),sK3,sK3) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f97,plain,
( injective(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),sK3,sK3)
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
spl16_2,
inference(avatar_split_clause,[],[f58,f95]) ).
fof(f100,plain,
( ! [X0] :
( ~ member(X0,sK3)
| sP14(sK3,compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X0) )
| ~ spl16_2 ),
inference(resolution,[],[f97,f84]) ).
fof(f102,definition,
( spl16_3
<=> surjective(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK5) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f104,plain,
( surjective(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK5)
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
spl16_3,
inference(avatar_split_clause,[],[f56,f102]) ).
fof(f107,definition,
( spl16_4
<=> ! [X0] :
( ~ member(X0,sK3)
| sP14(sK3,compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).
fof(f108,plain,
( ! [X0] :
( sP14(sK3,compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X0)
| ~ member(X0,sK3) )
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f109,plain,
( spl16_4
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f100,f95,f107]) ).
fof(f111,definition,
( spl16_5
<=> maps(sK2,sK5,sK3) ),
introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).
fof(f113,plain,
( maps(sK2,sK5,sK3)
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
spl16_5,
inference(avatar_split_clause,[],[f59,f111]) ).
fof(f116,definition,
( spl16_6
<=> surjective(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK4) ),
introduced(definition,[new_symbols(definition,[spl16_6])],[avatar_definition]) ).
fof(f118,plain,
( surjective(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK4)
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,plain,
spl16_6,
inference(avatar_split_clause,[],[f57,f116]) ).
fof(f120,plain,
( ! [X0] :
( apply(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)
| ~ member(X0,sK5) )
| ~ spl16_3 ),
inference(resolution,[],[f104,f78]) ).
fof(f121,plain,
( ! [X0] :
( member(sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK5)
| ~ member(X0,sK5) )
| ~ spl16_3 ),
inference(resolution,[],[f104,f79]) ).
fof(f124,definition,
( spl16_7
<=> maps(sK0,sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl16_7])],[avatar_definition]) ).
fof(f126,plain,
( maps(sK0,sK3,sK4)
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
spl16_7,
inference(avatar_split_clause,[],[f61,f124]) ).
fof(f128,plain,
( ! [X0] :
( apply(sK0,X0,sK6(sK0,sK4,X0))
| ~ member(X0,sK3) )
| ~ spl16_7 ),
inference(resolution,[],[f126,f64]) ).
fof(f129,plain,
( ! [X0] :
( member(sK6(sK0,sK4,X0),sK4)
| ~ member(X0,sK3) )
| ~ spl16_7 ),
inference(resolution,[],[f126,f65]) ).
fof(f130,plain,
( ! [X0] :
( ~ member(X0,sK3)
| sP13(X0,sK4,sK0) )
| ~ spl16_7 ),
inference(resolution,[],[f126,f82]) ).
fof(f132,definition,
( spl16_8
<=> ! [X0] :
( apply(sK0,X0,sK6(sK0,sK4,X0))
| ~ member(X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).
fof(f133,plain,
( ! [X0] :
( apply(sK0,X0,sK6(sK0,sK4,X0))
| ~ member(X0,sK3) )
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f134,plain,
( spl16_8
| ~ spl16_7 ),
inference(avatar_split_clause,[],[f128,f124,f132]) ).
fof(f142,definition,
( spl16_9
<=> maps(sK1,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl16_9])],[avatar_definition]) ).
fof(f144,plain,
( maps(sK1,sK4,sK5)
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
spl16_9,
inference(avatar_split_clause,[],[f60,f142]) ).
fof(f146,plain,
( ! [X0] :
( apply(sK1,X0,sK6(sK1,sK5,X0))
| ~ member(X0,sK4) )
| ~ spl16_9 ),
inference(resolution,[],[f144,f64]) ).
fof(f147,plain,
( ! [X0] :
( member(sK6(sK1,sK5,X0),sK5)
| ~ member(X0,sK4) )
| ~ spl16_9 ),
inference(resolution,[],[f144,f65]) ).
fof(f148,plain,
( ! [X0] :
( ~ member(X0,sK4)
| sP13(X0,sK5,sK1) )
| ~ spl16_9 ),
inference(resolution,[],[f144,f82]) ).
fof(f150,definition,
( spl16_10
<=> ! [X0] :
( apply(sK1,X0,sK6(sK1,sK5,X0))
| ~ member(X0,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl16_10])],[avatar_definition]) ).
fof(f151,plain,
( ! [X0] :
( apply(sK1,X0,sK6(sK1,sK5,X0))
| ~ member(X0,sK4) )
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f152,plain,
( spl16_10
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f146,f142,f150]) ).
fof(f157,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK4)
| ~ member(X0,X1)
| ~ apply(X2,X3,X0)
| sP15(X3,sK6(sK1,sK5,X0),sK1,X1,X2) )
| ~ spl16_10 ),
inference(resolution,[],[f151,f86]) ).
fof(f159,plain,
( ! [X0] :
( apply(sK2,X0,sK6(sK2,sK3,X0))
| ~ member(X0,sK5) )
| ~ spl16_5 ),
inference(resolution,[],[f113,f64]) ).
fof(f160,plain,
( ! [X0] :
( member(sK6(sK2,sK3,X0),sK3)
| ~ member(X0,sK5) )
| ~ spl16_5 ),
inference(resolution,[],[f113,f65]) ).
fof(f161,plain,
( ! [X0] :
( ~ member(X0,sK5)
| sP13(X0,sK3,sK2) )
| ~ spl16_5 ),
inference(resolution,[],[f113,f82]) ).
fof(f163,definition,
( spl16_11
<=> ! [X0] :
( apply(sK2,X0,sK6(sK2,sK3,X0))
| ~ member(X0,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_11])],[avatar_definition]) ).
fof(f164,plain,
( ! [X0] :
( apply(sK2,X0,sK6(sK2,sK3,X0))
| ~ member(X0,sK5) )
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f165,plain,
( spl16_11
| ~ spl16_5 ),
inference(avatar_split_clause,[],[f159,f111,f163]) ).
fof(f170,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK5)
| ~ member(X0,X1)
| ~ apply(X2,X3,X0)
| sP15(X3,sK6(sK2,sK3,X0),sK2,X1,X2) )
| ~ spl16_11 ),
inference(resolution,[],[f164,f86]) ).
fof(f173,definition,
( spl16_12
<=> ! [X0] :
( ~ member(X0,sK5)
| sP13(X0,sK3,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl16_12])],[avatar_definition]) ).
fof(f174,plain,
( ! [X0] :
( sP13(X0,sK3,sK2)
| ~ member(X0,sK5) )
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f175,plain,
( spl16_12
| ~ spl16_5 ),
inference(avatar_split_clause,[],[f161,f111,f173]) ).
fof(f177,definition,
( spl16_13
<=> ! [X0] :
( ~ member(X0,sK3)
| sP13(X0,sK4,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl16_13])],[avatar_definition]) ).
fof(f178,plain,
( ! [X0] :
( sP13(X0,sK4,sK0)
| ~ member(X0,sK3) )
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f179,plain,
( spl16_13
| ~ spl16_7 ),
inference(avatar_split_clause,[],[f130,f124,f177]) ).
fof(f180,plain,
( ! [X0] :
( apply(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)
| ~ member(X0,sK4) )
| ~ spl16_6 ),
inference(resolution,[],[f118,f78]) ).
fof(f181,plain,
( ! [X0] :
( member(sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK4)
| ~ member(X0,sK4) )
| ~ spl16_6 ),
inference(resolution,[],[f118,f79]) ).
fof(f183,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK3)
| X1 = X2
| ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X1,X0)
| ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X2,X0)
| ~ member(X1,sK3)
| ~ member(X2,sK3) )
| ~ spl16_4 ),
inference(resolution,[],[f108,f85]) ).
fof(f185,definition,
( spl16_14
<=> ! [X0] :
( ~ member(X0,sK4)
| sP13(X0,sK5,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl16_14])],[avatar_definition]) ).
fof(f186,plain,
( ! [X0] :
( sP13(X0,sK5,sK1)
| ~ member(X0,sK4) )
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f187,plain,
( spl16_14
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f148,f142,f185]) ).
fof(f188,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK5)
| X1 = X2
| ~ apply(sK2,X0,X1)
| ~ apply(sK2,X0,X2)
| ~ member(X1,sK3)
| ~ member(X2,sK3) )
| ~ spl16_12 ),
inference(resolution,[],[f174,f83]) ).
fof(f190,definition,
( spl16_15
<=> ! [X0] :
( member(sK6(sK2,sK3,X0),sK3)
| ~ member(X0,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_15])],[avatar_definition]) ).
fof(f191,plain,
( ! [X0] :
( member(sK6(sK2,sK3,X0),sK3)
| ~ member(X0,sK5) )
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f192,plain,
( spl16_15
| ~ spl16_5 ),
inference(avatar_split_clause,[],[f160,f111,f190]) ).
fof(f194,definition,
( spl16_16
<=> ! [X0] :
( member(sK6(sK1,sK5,X0),sK5)
| ~ member(X0,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl16_16])],[avatar_definition]) ).
fof(f195,plain,
( ! [X0] :
( member(sK6(sK1,sK5,X0),sK5)
| ~ member(X0,sK4) )
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f196,plain,
( spl16_16
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f147,f142,f194]) ).
fof(f198,definition,
( spl16_17
<=> ! [X0] :
( member(sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK5)
| ~ member(X0,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_17])],[avatar_definition]) ).
fof(f199,plain,
( ! [X0] :
( member(sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK5)
| ~ member(X0,sK5) )
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f200,plain,
( spl16_17
| ~ spl16_3 ),
inference(avatar_split_clause,[],[f121,f102,f198]) ).
fof(f202,definition,
( spl16_18
<=> ! [X0] :
( member(sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK4)
| ~ member(X0,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl16_18])],[avatar_definition]) ).
fof(f203,plain,
( ! [X0] :
( member(sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK4)
| ~ member(X0,sK4) )
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f204,plain,
( spl16_18
| ~ spl16_6 ),
inference(avatar_split_clause,[],[f181,f116,f202]) ).
fof(f225,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK3)
| X1 = X2
| ~ apply(sK0,X0,X1)
| ~ apply(sK0,X0,X2)
| ~ member(X1,sK4)
| ~ member(X2,sK4) )
| ~ spl16_13 ),
inference(resolution,[],[f178,f83]) ).
fof(f227,definition,
( spl16_19
<=> ! [X0] :
( member(sK6(sK0,sK4,X0),sK4)
| ~ member(X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_19])],[avatar_definition]) ).
fof(f228,plain,
( ! [X0] :
( member(sK6(sK0,sK4,X0),sK4)
| ~ member(X0,sK3) )
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f229,plain,
( spl16_19
| ~ spl16_7 ),
inference(avatar_split_clause,[],[f129,f124,f227]) ).
fof(f230,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK4)
| X1 = X2
| ~ apply(sK1,X0,X1)
| ~ apply(sK1,X0,X2)
| ~ member(X1,sK5)
| ~ member(X2,sK5) )
| ~ spl16_14 ),
inference(resolution,[],[f186,f83]) ).
fof(f312,definition,
( spl16_20
<=> ! [X0] :
( apply(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)
| ~ member(X0,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl16_20])],[avatar_definition]) ).
fof(f313,plain,
( ! [X0] :
( apply(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)
| ~ member(X0,sK4) )
| ~ spl16_20 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f314,plain,
( spl16_20
| ~ spl16_6 ),
inference(avatar_split_clause,[],[f180,f116,f312]) ).
fof(f315,plain,
( ! [X0] :
( ~ member(X0,sK4)
| apply(sK0,sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),X0)
| ~ member(sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK4)
| ~ member(X0,sK4) )
| ~ spl16_20 ),
inference(resolution,[],[f313,f74]) ).
fof(f316,plain,
( ! [X0] :
( ~ member(X0,sK4)
| apply(compose_function(sK2,sK1,sK4,sK5,sK3),sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0))
| ~ member(sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK4)
| ~ member(X0,sK4) )
| ~ spl16_20 ),
inference(resolution,[],[f313,f75]) ).
fof(f317,plain,
( ! [X0] :
( ~ member(X0,sK4)
| member(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),sK3)
| ~ member(sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK4)
| ~ member(X0,sK4) )
| ~ spl16_20 ),
inference(resolution,[],[f313,f76]) ).
fof(f325,plain,
( ! [X0] :
( ~ member(X0,sK4)
| member(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),sK3)
| ~ member(sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK4) )
| ~ spl16_20 ),
inference(duplicate_literal_removal,[],[f317]) ).
fof(f326,plain,
( ! [X0] :
( ~ member(X0,sK4)
| apply(compose_function(sK2,sK1,sK4,sK5,sK3),sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0))
| ~ member(sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK4) )
| ~ spl16_20 ),
inference(duplicate_literal_removal,[],[f316]) ).
fof(f327,plain,
( ! [X0] :
( ~ member(X0,sK4)
| apply(sK0,sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),X0)
| ~ member(sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK4) )
| ~ spl16_20 ),
inference(duplicate_literal_removal,[],[f315]) ).
fof(f328,plain,
( ! [X0] :
( ~ member(X0,sK4)
| member(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),sK3) )
| ~ spl16_18
| ~ spl16_20 ),
inference(forward_subsumption_resolution,[],[f325,f203]) ).
fof(f329,plain,
( ! [X0] :
( ~ member(X0,sK4)
| apply(compose_function(sK2,sK1,sK4,sK5,sK3),sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)) )
| ~ spl16_18
| ~ spl16_20 ),
inference(forward_subsumption_resolution,[],[f326,f203]) ).
fof(f330,plain,
( ! [X0] :
( ~ member(X0,sK4)
| apply(sK0,sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),X0) )
| ~ spl16_18
| ~ spl16_20 ),
inference(forward_subsumption_resolution,[],[f327,f203]) ).
fof(f332,definition,
( spl16_21
<=> ! [X0] :
( apply(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)
| ~ member(X0,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_21])],[avatar_definition]) ).
fof(f333,plain,
( ! [X0] :
( apply(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)
| ~ member(X0,sK5) )
| ~ spl16_21 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f334,plain,
( spl16_21
| ~ spl16_3 ),
inference(avatar_split_clause,[],[f120,f102,f332]) ).
fof(f335,plain,
( ! [X0] :
( ~ member(X0,sK5)
| apply(sK1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),X0)
| ~ member(sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK5)
| ~ member(X0,sK5) )
| ~ spl16_21 ),
inference(resolution,[],[f333,f74]) ).
fof(f336,plain,
( ! [X0] :
( ~ member(X0,sK5)
| apply(compose_function(sK0,sK2,sK5,sK3,sK4),sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0))
| ~ member(sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK5)
| ~ member(X0,sK5) )
| ~ spl16_21 ),
inference(resolution,[],[f333,f75]) ).
fof(f337,plain,
( ! [X0] :
( ~ member(X0,sK5)
| member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),sK4)
| ~ member(sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK5)
| ~ member(X0,sK5) )
| ~ spl16_21 ),
inference(resolution,[],[f333,f76]) ).
fof(f345,plain,
( ! [X0] :
( ~ member(X0,sK5)
| member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),sK4)
| ~ member(sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK5) )
| ~ spl16_21 ),
inference(duplicate_literal_removal,[],[f337]) ).
fof(f346,plain,
( ! [X0] :
( ~ member(X0,sK5)
| apply(compose_function(sK0,sK2,sK5,sK3,sK4),sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0))
| ~ member(sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK5) )
| ~ spl16_21 ),
inference(duplicate_literal_removal,[],[f336]) ).
fof(f347,plain,
( ! [X0] :
( ~ member(X0,sK5)
| apply(sK1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),X0)
| ~ member(sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK5) )
| ~ spl16_21 ),
inference(duplicate_literal_removal,[],[f335]) ).
fof(f348,plain,
( ! [X0] :
( ~ member(X0,sK5)
| member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),sK4) )
| ~ spl16_17
| ~ spl16_21 ),
inference(forward_subsumption_resolution,[],[f345,f199]) ).
fof(f349,plain,
( ! [X0] :
( ~ member(X0,sK5)
| apply(compose_function(sK0,sK2,sK5,sK3,sK4),sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)) )
| ~ spl16_17
| ~ spl16_21 ),
inference(forward_subsumption_resolution,[],[f346,f199]) ).
fof(f350,plain,
( ! [X0] :
( ~ member(X0,sK5)
| apply(sK1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),X0) )
| ~ spl16_17
| ~ spl16_21 ),
inference(forward_subsumption_resolution,[],[f347,f199]) ).
fof(f352,definition,
( spl16_22
<=> ! [X0] :
( ~ member(X0,sK4)
| apply(sK0,sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_22])],[avatar_definition]) ).
fof(f353,plain,
( ! [X0] :
( apply(sK0,sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),X0)
| ~ member(X0,sK4) )
| ~ spl16_22 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f354,plain,
( spl16_22
| ~ spl16_18
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f330,f312,f202,f352]) ).
fof(f360,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK4)
| ~ member(X0,X1)
| ~ apply(X2,X0,X3)
| sP15(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),X3,X2,X1,sK0) )
| ~ spl16_22 ),
inference(resolution,[],[f353,f86]) ).
fof(f363,definition,
( spl16_23
<=> ! [X0] :
( ~ member(X0,sK5)
| apply(sK1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_23])],[avatar_definition]) ).
fof(f364,plain,
( ! [X0] :
( apply(sK1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),X0)
| ~ member(X0,sK5) )
| ~ spl16_23 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f365,plain,
( spl16_23
| ~ spl16_17
| ~ spl16_21 ),
inference(avatar_split_clause,[],[f350,f332,f198,f363]) ).
fof(f374,definition,
( spl16_24
<=> ! [X0] :
( ~ member(X0,sK4)
| member(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_24])],[avatar_definition]) ).
fof(f375,plain,
( ! [X0] :
( member(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),sK3)
| ~ member(X0,sK4) )
| ~ spl16_24 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f376,plain,
( spl16_24
| ~ spl16_18
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f328,f312,f202,f374]) ).
fof(f398,definition,
( spl16_25
<=> ! [X0] :
( ~ member(X0,sK5)
| member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),sK4) ) ),
introduced(definition,[new_symbols(definition,[spl16_25])],[avatar_definition]) ).
fof(f399,plain,
( ! [X0] :
( member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),sK4)
| ~ member(X0,sK5) )
| ~ spl16_25 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f400,plain,
( spl16_25
| ~ spl16_17
| ~ spl16_21 ),
inference(avatar_split_clause,[],[f348,f332,f198,f398]) ).
fof(f422,definition,
( spl16_26
<=> ! [X2,X0,X1] :
( ~ member(X0,sK5)
| X1 = X2
| ~ apply(sK2,X0,X1)
| ~ apply(sK2,X0,X2)
| ~ member(X1,sK3)
| ~ member(X2,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_26])],[avatar_definition]) ).
fof(f423,plain,
( ! [X2,X0,X1] :
( ~ apply(sK2,X0,X2)
| X1 = X2
| ~ apply(sK2,X0,X1)
| ~ member(X0,sK5)
| ~ member(X1,sK3)
| ~ member(X2,sK3) )
| ~ spl16_26 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f424,plain,
( spl16_26
| ~ spl16_12 ),
inference(avatar_split_clause,[],[f188,f173,f422]) ).
fof(f435,definition,
( spl16_27
<=> ! [X2,X0,X1] :
( ~ member(X0,sK4)
| X1 = X2
| ~ apply(sK1,X0,X1)
| ~ apply(sK1,X0,X2)
| ~ member(X1,sK5)
| ~ member(X2,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_27])],[avatar_definition]) ).
fof(f436,plain,
( ! [X2,X0,X1] :
( ~ apply(sK1,X0,X2)
| X1 = X2
| ~ apply(sK1,X0,X1)
| ~ member(X0,sK4)
| ~ member(X1,sK5)
| ~ member(X2,sK5) )
| ~ spl16_27 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f437,plain,
( spl16_27
| ~ spl16_14 ),
inference(avatar_split_clause,[],[f230,f185,f435]) ).
fof(f439,plain,
( ! [X0,X1] :
( X0 = X1
| ~ apply(sK1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X1),X1),X0)
| ~ member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X1),X1),sK4)
| ~ member(X0,sK5)
| ~ member(X1,sK5)
| ~ member(X1,sK5) )
| ~ spl16_23
| ~ spl16_27 ),
inference(resolution,[],[f436,f364]) ).
fof(f446,plain,
( ! [X0,X1] :
( X0 = X1
| ~ apply(sK1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X1),X1),X0)
| ~ member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X1),X1),sK4)
| ~ member(X0,sK5)
| ~ member(X1,sK5) )
| ~ spl16_23
| ~ spl16_27 ),
inference(duplicate_literal_removal,[],[f439]) ).
fof(f448,plain,
( ! [X0,X1] :
( X0 = X1
| ~ apply(sK1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X1),X1),X0)
| ~ member(X0,sK5)
| ~ member(X1,sK5) )
| ~ spl16_23
| ~ spl16_25
| ~ spl16_27 ),
inference(forward_subsumption_resolution,[],[f446,f399]) ).
fof(f451,definition,
( spl16_28
<=> ! [X2,X0,X1] :
( ~ member(X0,sK3)
| X1 = X2
| ~ apply(sK0,X0,X1)
| ~ apply(sK0,X0,X2)
| ~ member(X1,sK4)
| ~ member(X2,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl16_28])],[avatar_definition]) ).
fof(f452,plain,
( ! [X2,X0,X1] :
( ~ apply(sK0,X0,X2)
| X1 = X2
| ~ apply(sK0,X0,X1)
| ~ member(X0,sK3)
| ~ member(X1,sK4)
| ~ member(X2,sK4) )
| ~ spl16_28 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f453,plain,
( spl16_28
| ~ spl16_13 ),
inference(avatar_split_clause,[],[f225,f177,f451]) ).
fof(f467,definition,
( spl16_29
<=> ! [X0] :
( ~ member(X0,sK4)
| apply(compose_function(sK2,sK1,sK4,sK5,sK3),sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl16_29])],[avatar_definition]) ).
fof(f468,plain,
( ! [X0] :
( apply(compose_function(sK2,sK1,sK4,sK5,sK3),sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0))
| ~ member(X0,sK4) )
| ~ spl16_29 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f469,plain,
( spl16_29
| ~ spl16_18
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f329,f312,f202,f467]) ).
fof(f470,plain,
( ! [X0] :
( ~ member(X0,sK4)
| apply(sK2,sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0))
| ~ member(sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK4)
| ~ member(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),sK3) )
| ~ spl16_29 ),
inference(resolution,[],[f468,f74]) ).
fof(f472,plain,
( ! [X0] :
( ~ member(X0,sK4)
| member(sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)),sK5)
| ~ member(sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK4)
| ~ member(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),sK3) )
| ~ spl16_29 ),
inference(resolution,[],[f468,f76]) ).
fof(f479,plain,
( ! [X0] :
( ~ member(X0,sK4)
| member(sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)),sK5)
| ~ member(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),sK3) )
| ~ spl16_18
| ~ spl16_29 ),
inference(forward_subsumption_resolution,[],[f472,f203]) ).
fof(f481,plain,
( ! [X0] :
( ~ member(X0,sK4)
| apply(sK2,sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0))
| ~ member(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),sK3) )
| ~ spl16_18
| ~ spl16_29 ),
inference(forward_subsumption_resolution,[],[f470,f203]) ).
fof(f482,plain,
( ! [X0] :
( ~ member(X0,sK4)
| member(sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)),sK5) )
| ~ spl16_18
| ~ spl16_24
| ~ spl16_29 ),
inference(forward_subsumption_resolution,[],[f479,f375]) ).
fof(f484,plain,
( ! [X0] :
( ~ member(X0,sK4)
| apply(sK2,sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)) )
| ~ spl16_18
| ~ spl16_24
| ~ spl16_29 ),
inference(forward_subsumption_resolution,[],[f481,f375]) ).
fof(f486,definition,
( spl16_30
<=> ! [X0] :
( ~ member(X0,sK4)
| member(sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)),sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_30])],[avatar_definition]) ).
fof(f487,plain,
( ! [X0] :
( member(sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)),sK5)
| ~ member(X0,sK4) )
| ~ spl16_30 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f488,plain,
( spl16_30
| ~ spl16_18
| ~ spl16_24
| ~ spl16_29 ),
inference(avatar_split_clause,[],[f482,f467,f374,f202,f486]) ).
fof(f510,definition,
( spl16_31
<=> ! [X0] :
( ~ member(X0,sK5)
| apply(compose_function(sK0,sK2,sK5,sK3,sK4),sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl16_31])],[avatar_definition]) ).
fof(f511,plain,
( ! [X0] :
( apply(compose_function(sK0,sK2,sK5,sK3,sK4),sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0))
| ~ member(X0,sK5) )
| ~ spl16_31 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f512,plain,
( spl16_31
| ~ spl16_17
| ~ spl16_21 ),
inference(avatar_split_clause,[],[f349,f332,f198,f510]) ).
fof(f513,plain,
( ! [X0] :
( ~ member(X0,sK5)
| apply(sK0,sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0))
| ~ member(sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK5)
| ~ member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),sK4) )
| ~ spl16_31 ),
inference(resolution,[],[f511,f74]) ).
fof(f515,plain,
( ! [X0] :
( ~ member(X0,sK5)
| member(sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),sK3)
| ~ member(sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK5)
| ~ member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),sK4) )
| ~ spl16_31 ),
inference(resolution,[],[f511,f76]) ).
fof(f522,plain,
( ! [X0] :
( ~ member(X0,sK5)
| member(sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),sK3)
| ~ member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),sK4) )
| ~ spl16_17
| ~ spl16_31 ),
inference(forward_subsumption_resolution,[],[f515,f199]) ).
fof(f524,plain,
( ! [X0] :
( ~ member(X0,sK5)
| apply(sK0,sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0))
| ~ member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),sK4) )
| ~ spl16_17
| ~ spl16_31 ),
inference(forward_subsumption_resolution,[],[f513,f199]) ).
fof(f525,plain,
( ! [X0] :
( ~ member(X0,sK5)
| member(sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),sK3) )
| ~ spl16_17
| ~ spl16_25
| ~ spl16_31 ),
inference(forward_subsumption_resolution,[],[f522,f399]) ).
fof(f527,plain,
( ! [X0] :
( ~ member(X0,sK5)
| apply(sK0,sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)) )
| ~ spl16_17
| ~ spl16_25
| ~ spl16_31 ),
inference(forward_subsumption_resolution,[],[f524,f399]) ).
fof(f529,definition,
( spl16_32
<=> ! [X0] :
( ~ member(X0,sK5)
| member(sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_32])],[avatar_definition]) ).
fof(f530,plain,
( ! [X0] :
( member(sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),sK3)
| ~ member(X0,sK5) )
| ~ spl16_32 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f531,plain,
( spl16_32
| ~ spl16_17
| ~ spl16_25
| ~ spl16_31 ),
inference(avatar_split_clause,[],[f525,f510,f398,f198,f529]) ).
fof(f591,definition,
( spl16_36
<=> ! [X0] :
( ~ member(X0,sK4)
| apply(sK2,sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl16_36])],[avatar_definition]) ).
fof(f592,plain,
( ! [X0] :
( apply(sK2,sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0)),sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0))
| ~ member(X0,sK4) )
| ~ spl16_36 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f593,plain,
( spl16_36
| ~ spl16_18
| ~ spl16_24
| ~ spl16_29 ),
inference(avatar_split_clause,[],[f484,f467,f374,f202,f591]) ).
fof(f678,definition,
( spl16_40
<=> ! [X0] :
( ~ member(X0,sK5)
| apply(sK0,sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl16_40])],[avatar_definition]) ).
fof(f679,plain,
( ! [X0] :
( apply(sK0,sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0))
| ~ member(X0,sK5) )
| ~ spl16_40 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f680,plain,
( spl16_40
| ~ spl16_17
| ~ spl16_25
| ~ spl16_31 ),
inference(avatar_split_clause,[],[f527,f510,f398,f198,f678]) ).
fof(f681,plain,
( ! [X0,X1] :
( ~ member(X0,sK5)
| sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0) = X1
| ~ apply(sK0,sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),X1)
| ~ member(sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),sK3)
| ~ member(X1,sK4)
| ~ member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),sK4) )
| ~ spl16_28
| ~ spl16_40 ),
inference(resolution,[],[f679,f452]) ).
fof(f688,plain,
( ! [X0,X1] :
( ~ member(X0,sK5)
| sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0) = X1
| ~ apply(sK0,sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),X1)
| ~ member(X1,sK4)
| ~ member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0),sK4) )
| ~ spl16_28
| ~ spl16_32
| ~ spl16_40 ),
inference(forward_subsumption_resolution,[],[f681,f530]) ).
fof(f689,plain,
( ! [X0,X1] :
( ~ member(X0,sK5)
| sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0) = X1
| ~ apply(sK0,sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),X1)
| ~ member(X1,sK4) )
| ~ spl16_25
| ~ spl16_28
| ~ spl16_32
| ~ spl16_40 ),
inference(forward_subsumption_resolution,[],[f688,f399]) ).
fof(f691,definition,
( spl16_41
<=> ! [X0,X3,X2,X1] :
( ~ member(X0,sK5)
| ~ member(X0,X1)
| ~ apply(X2,X3,X0)
| sP15(X3,sK6(sK2,sK3,X0),sK2,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl16_41])],[avatar_definition]) ).
fof(f692,plain,
( ! [X2,X3,X0,X1] :
( sP15(X3,sK6(sK2,sK3,X0),sK2,X1,X2)
| ~ member(X0,X1)
| ~ apply(X2,X3,X0)
| ~ member(X0,sK5) )
| ~ spl16_41 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f693,plain,
( spl16_41
| ~ spl16_11 ),
inference(avatar_split_clause,[],[f170,f163,f691]) ).
fof(f694,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ member(X0,X1)
| ~ apply(X2,X3,X0)
| ~ member(X0,sK5)
| apply(compose_function(sK2,X2,X4,X1,X5),X3,sK6(sK2,sK3,X0))
| ~ member(X3,X4)
| ~ member(sK6(sK2,sK3,X0),X5) )
| ~ spl16_41 ),
inference(resolution,[],[f692,f87]) ).
fof(f867,definition,
( spl16_56
<=> surjective(sK2,sK5,sK3) ),
introduced(definition,[new_symbols(definition,[spl16_56])],[avatar_definition]) ).
fof(f869,plain,
( ~ surjective(sK2,sK5,sK3)
| spl16_56 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f871,definition,
( spl16_57
<=> injective(sK2,sK5,sK3) ),
introduced(definition,[new_symbols(definition,[spl16_57])],[avatar_definition]) ).
fof(f873,plain,
( ~ injective(sK2,sK5,sK3)
| spl16_57 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f874,plain,
( ~ spl16_56
| ~ spl16_57
| spl16_1 ),
inference(avatar_split_clause,[],[f93,f89,f871,f867]) ).
fof(f876,plain,
( ! [X0] :
( ~ member(X0,sK5)
| ~ apply(sK2,X0,sK11(sK2,sK5,sK3)) )
| spl16_56 ),
inference(resolution,[],[f869,f81]) ).
fof(f878,definition,
( spl16_58
<=> ! [X0] :
( ~ member(X0,sK5)
| ~ apply(sK2,X0,sK11(sK2,sK5,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl16_58])],[avatar_definition]) ).
fof(f879,plain,
( ! [X0] :
( ~ apply(sK2,X0,sK11(sK2,sK5,sK3))
| ~ member(X0,sK5) )
| ~ spl16_58 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f880,plain,
( spl16_58
| spl16_56 ),
inference(avatar_split_clause,[],[f876,f867,f878]) ).
fof(f884,plain,
( member(sK9(sK2,sK5,sK3),sK3)
| spl16_57 ),
inference(resolution,[],[f873,f68]) ).
fof(f885,plain,
( member(sK8(sK2,sK5,sK3),sK5)
| spl16_57 ),
inference(resolution,[],[f873,f69]) ).
fof(f886,plain,
( member(sK7(sK2,sK5,sK3),sK5)
| spl16_57 ),
inference(resolution,[],[f873,f70]) ).
fof(f887,plain,
( apply(sK2,sK8(sK2,sK5,sK3),sK9(sK2,sK5,sK3))
| spl16_57 ),
inference(resolution,[],[f873,f71]) ).
fof(f888,plain,
( apply(sK2,sK7(sK2,sK5,sK3),sK9(sK2,sK5,sK3))
| spl16_57 ),
inference(resolution,[],[f873,f72]) ).
fof(f889,plain,
( sK8(sK2,sK5,sK3) != sK7(sK2,sK5,sK3)
| spl16_57 ),
inference(resolution,[],[f873,f73]) ).
fof(f891,definition,
( spl16_59
<=> apply(sK2,sK8(sK2,sK5,sK3),sK9(sK2,sK5,sK3)) ),
introduced(definition,[new_symbols(definition,[spl16_59])],[avatar_definition]) ).
fof(f893,plain,
( apply(sK2,sK8(sK2,sK5,sK3),sK9(sK2,sK5,sK3))
| ~ spl16_59 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f894,plain,
( spl16_59
| spl16_57 ),
inference(avatar_split_clause,[],[f887,f871,f891]) ).
fof(f895,plain,
( ! [X0] :
( sK9(sK2,sK5,sK3) = X0
| ~ apply(sK2,sK8(sK2,sK5,sK3),X0)
| ~ member(sK8(sK2,sK5,sK3),sK5)
| ~ member(X0,sK3)
| ~ member(sK9(sK2,sK5,sK3),sK3) )
| ~ spl16_26
| ~ spl16_59 ),
inference(resolution,[],[f893,f423]) ).
fof(f902,plain,
( ! [X0] :
( sK9(sK2,sK5,sK3) = X0
| ~ apply(sK2,sK8(sK2,sK5,sK3),X0)
| ~ member(X0,sK3)
| ~ member(sK9(sK2,sK5,sK3),sK3) )
| ~ spl16_26
| spl16_57
| ~ spl16_59 ),
inference(forward_subsumption_resolution,[],[f895,f885]) ).
fof(f903,plain,
( ! [X0] :
( sK9(sK2,sK5,sK3) = X0
| ~ apply(sK2,sK8(sK2,sK5,sK3),X0)
| ~ member(X0,sK3) )
| ~ spl16_26
| spl16_57
| ~ spl16_59 ),
inference(forward_subsumption_resolution,[],[f902,f884]) ).
fof(f905,definition,
( spl16_60
<=> apply(sK2,sK7(sK2,sK5,sK3),sK9(sK2,sK5,sK3)) ),
introduced(definition,[new_symbols(definition,[spl16_60])],[avatar_definition]) ).
fof(f907,plain,
( apply(sK2,sK7(sK2,sK5,sK3),sK9(sK2,sK5,sK3))
| ~ spl16_60 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f908,plain,
( spl16_60
| spl16_57 ),
inference(avatar_split_clause,[],[f888,f871,f905]) ).
fof(f919,definition,
( spl16_61
<=> member(sK8(sK2,sK5,sK3),sK5) ),
introduced(definition,[new_symbols(definition,[spl16_61])],[avatar_definition]) ).
fof(f921,plain,
( member(sK8(sK2,sK5,sK3),sK5)
| ~ spl16_61 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f922,plain,
( spl16_61
| spl16_57 ),
inference(avatar_split_clause,[],[f885,f871,f919]) ).
fof(f924,definition,
( spl16_62
<=> member(sK7(sK2,sK5,sK3),sK5) ),
introduced(definition,[new_symbols(definition,[spl16_62])],[avatar_definition]) ).
fof(f926,plain,
( member(sK7(sK2,sK5,sK3),sK5)
| ~ spl16_62 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f927,plain,
( spl16_62
| spl16_57 ),
inference(avatar_split_clause,[],[f886,f871,f924]) ).
fof(f949,definition,
( spl16_63
<=> sK8(sK2,sK5,sK3) = sK7(sK2,sK5,sK3) ),
introduced(definition,[new_symbols(definition,[spl16_63])],[avatar_definition]) ).
fof(f951,plain,
( sK8(sK2,sK5,sK3) != sK7(sK2,sK5,sK3)
| spl16_63 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f952,plain,
( ~ spl16_63
| spl16_57 ),
inference(avatar_split_clause,[],[f889,f871,f949]) ).
fof(f974,definition,
( spl16_64
<=> ! [X0] :
( sK9(sK2,sK5,sK3) = X0
| ~ apply(sK2,sK8(sK2,sK5,sK3),X0)
| ~ member(X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_64])],[avatar_definition]) ).
fof(f975,plain,
( ! [X0] :
( ~ apply(sK2,sK8(sK2,sK5,sK3),X0)
| sK9(sK2,sK5,sK3) = X0
| ~ member(X0,sK3) )
| ~ spl16_64 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f976,plain,
( spl16_64
| ~ spl16_26
| spl16_57
| ~ spl16_59 ),
inference(avatar_split_clause,[],[f903,f891,f871,f422,f974]) ).
fof(f978,plain,
( sK9(sK2,sK5,sK3) = sK6(sK2,sK3,sK8(sK2,sK5,sK3))
| ~ member(sK6(sK2,sK3,sK8(sK2,sK5,sK3)),sK3)
| ~ member(sK8(sK2,sK5,sK3),sK5)
| ~ spl16_11
| ~ spl16_64 ),
inference(resolution,[],[f975,f164]) ).
fof(f982,plain,
( sK9(sK2,sK5,sK3) = sK6(sK2,sK3,sK8(sK2,sK5,sK3))
| ~ member(sK8(sK2,sK5,sK3),sK5)
| ~ spl16_11
| ~ spl16_15
| ~ spl16_64 ),
inference(forward_subsumption_resolution,[],[f978,f191]) ).
fof(f983,plain,
( sK9(sK2,sK5,sK3) = sK6(sK2,sK3,sK8(sK2,sK5,sK3))
| ~ spl16_11
| ~ spl16_15
| ~ spl16_61
| ~ spl16_64 ),
inference(forward_subsumption_resolution,[],[f982,f921]) ).
fof(f996,definition,
( spl16_66
<=> member(sK9(sK2,sK5,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl16_66])],[avatar_definition]) ).
fof(f998,plain,
( member(sK9(sK2,sK5,sK3),sK3)
| ~ spl16_66 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f999,plain,
( spl16_66
| spl16_57 ),
inference(avatar_split_clause,[],[f884,f871,f996]) ).
fof(f1041,definition,
( spl16_69
<=> sK9(sK2,sK5,sK3) = sK6(sK2,sK3,sK8(sK2,sK5,sK3)) ),
introduced(definition,[new_symbols(definition,[spl16_69])],[avatar_definition]) ).
fof(f1043,plain,
( sK9(sK2,sK5,sK3) = sK6(sK2,sK3,sK8(sK2,sK5,sK3))
| ~ spl16_69 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1044,plain,
( spl16_69
| ~ spl16_11
| ~ spl16_15
| ~ spl16_61
| ~ spl16_64 ),
inference(avatar_split_clause,[],[f983,f974,f919,f190,f163,f1041]) ).
fof(f1528,definition,
( spl16_96
<=> ! [X0,X3,X2,X1] :
( ~ member(X0,sK4)
| ~ member(X0,X1)
| ~ apply(X2,X3,X0)
| sP15(X3,sK6(sK1,sK5,X0),sK1,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl16_96])],[avatar_definition]) ).
fof(f1529,plain,
( ! [X2,X3,X0,X1] :
( sP15(X3,sK6(sK1,sK5,X0),sK1,X1,X2)
| ~ member(X0,X1)
| ~ apply(X2,X3,X0)
| ~ member(X0,sK4) )
| ~ spl16_96 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1530,plain,
( spl16_96
| ~ spl16_10 ),
inference(avatar_split_clause,[],[f157,f150,f1528]) ).
fof(f1717,definition,
( spl16_107
<=> ! [X2,X0,X1] :
( ~ member(X0,sK3)
| X1 = X2
| ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X1,X0)
| ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X2,X0)
| ~ member(X1,sK3)
| ~ member(X2,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_107])],[avatar_definition]) ).
fof(f1718,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X2,X0)
| X1 = X2
| ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X1,X0)
| ~ member(X0,sK3)
| ~ member(X1,sK3)
| ~ member(X2,sK3) )
| ~ spl16_107 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f1719,plain,
( spl16_107
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f183,f107,f1717]) ).
fof(f2822,definition,
( spl16_164
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ member(X0,X1)
| ~ apply(X2,X3,X0)
| ~ member(X0,sK5)
| apply(compose_function(sK2,X2,X4,X1,X5),X3,sK6(sK2,sK3,X0))
| ~ member(X3,X4)
| ~ member(sK6(sK2,sK3,X0),X5) ) ),
introduced(definition,[new_symbols(definition,[spl16_164])],[avatar_definition]) ).
fof(f2823,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply(compose_function(sK2,X2,X4,X1,X5),X3,sK6(sK2,sK3,X0))
| ~ apply(X2,X3,X0)
| ~ member(X0,sK5)
| ~ member(X0,X1)
| ~ member(X3,X4)
| ~ member(sK6(sK2,sK3,X0),X5) )
| ~ spl16_164 ),
inference(avatar_component_clause,[],[f2822]) ).
fof(f2824,plain,
( spl16_164
| ~ spl16_41 ),
inference(avatar_split_clause,[],[f694,f691,f2822]) ).
fof(f2829,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X1)
| ~ member(X1,sK5)
| ~ member(X1,sK5)
| ~ member(X0,sK3)
| ~ member(sK6(sK2,sK3,X1),sK3)
| X0 = X2
| ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X2,sK6(sK2,sK3,X1))
| ~ member(sK6(sK2,sK3,X1),sK3)
| ~ member(X2,sK3)
| ~ member(X0,sK3) )
| ~ spl16_107
| ~ spl16_164 ),
inference(resolution,[],[f2823,f1718]) ).
fof(f2848,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X1)
| ~ member(X1,sK5)
| ~ member(X0,sK3)
| ~ member(sK6(sK2,sK3,X1),sK3)
| X0 = X2
| ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X2,sK6(sK2,sK3,X1))
| ~ member(X2,sK3) )
| ~ spl16_107
| ~ spl16_164 ),
inference(duplicate_literal_removal,[],[f2829]) ).
fof(f2858,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X1)
| ~ member(X1,sK5)
| ~ member(X0,sK3)
| X0 = X2
| ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X2,sK6(sK2,sK3,X1))
| ~ member(X2,sK3) )
| ~ spl16_15
| ~ spl16_107
| ~ spl16_164 ),
inference(forward_subsumption_resolution,[],[f2848,f191]) ).
fof(f2863,definition,
( spl16_165
<=> ! [X2,X0,X1] :
( ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X1)
| ~ member(X1,sK5)
| ~ member(X0,sK3)
| X0 = X2
| ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X2,sK6(sK2,sK3,X1))
| ~ member(X2,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_165])],[avatar_definition]) ).
fof(f2864,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X2,sK6(sK2,sK3,X1))
| ~ member(X1,sK5)
| ~ member(X0,sK3)
| X0 = X2
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X1)
| ~ member(X2,sK3) )
| ~ spl16_165 ),
inference(avatar_component_clause,[],[f2863]) ).
fof(f2865,plain,
( spl16_165
| ~ spl16_15
| ~ spl16_107
| ~ spl16_164 ),
inference(avatar_split_clause,[],[f2858,f2822,f1717,f190,f2863]) ).
fof(f2866,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK5)
| ~ member(X1,sK3)
| X1 = X2
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X0)
| ~ member(X2,sK3)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X2,X0)
| ~ member(X0,sK5)
| ~ member(X0,sK5)
| ~ member(X2,sK3)
| ~ member(sK6(sK2,sK3,X0),sK3) )
| ~ spl16_164
| ~ spl16_165 ),
inference(resolution,[],[f2864,f2823]) ).
fof(f2874,plain,
( ! [X0,X1] :
( ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X0,sK9(sK2,sK5,sK3))
| ~ member(sK8(sK2,sK5,sK3),sK5)
| ~ member(X1,sK3)
| X0 = X1
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,sK8(sK2,sK5,sK3))
| ~ member(X0,sK3) )
| ~ spl16_69
| ~ spl16_165 ),
inference(superposition,[],[f2864,f1043]) ).
fof(f2880,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK5)
| ~ member(X1,sK3)
| X1 = X2
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X0)
| ~ member(X2,sK3)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X2,X0)
| ~ member(sK6(sK2,sK3,X0),sK3) )
| ~ spl16_164
| ~ spl16_165 ),
inference(duplicate_literal_removal,[],[f2866]) ).
fof(f2883,plain,
( ! [X0,X1] :
( ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X0,sK9(sK2,sK5,sK3))
| ~ member(X1,sK3)
| X0 = X1
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,sK8(sK2,sK5,sK3))
| ~ member(X0,sK3) )
| ~ spl16_61
| ~ spl16_69
| ~ spl16_165 ),
inference(forward_subsumption_resolution,[],[f2874,f921]) ).
fof(f2886,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK5)
| ~ member(X1,sK3)
| X1 = X2
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X0)
| ~ member(X2,sK3)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X2,X0) )
| ~ spl16_15
| ~ spl16_164
| ~ spl16_165 ),
inference(forward_subsumption_resolution,[],[f2880,f191]) ).
fof(f2890,definition,
( spl16_166
<=> ! [X2,X0,X1] :
( ~ member(X0,sK5)
| ~ member(X1,sK3)
| X1 = X2
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X0)
| ~ member(X2,sK3)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_166])],[avatar_definition]) ).
fof(f2891,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X2,X0)
| ~ member(X1,sK3)
| X1 = X2
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X0)
| ~ member(X2,sK3)
| ~ member(X0,sK5) )
| ~ spl16_166 ),
inference(avatar_component_clause,[],[f2890]) ).
fof(f2892,plain,
( spl16_166
| ~ spl16_15
| ~ spl16_164
| ~ spl16_165 ),
inference(avatar_split_clause,[],[f2886,f2863,f2822,f190,f2890]) ).
fof(f2893,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK3)
| X0 = X1
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X2)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ sP15(X1,X2,sK1,sK4,sK0) )
| ~ spl16_166 ),
inference(resolution,[],[f2891,f87]) ).
fof(f2908,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK3)
| X0 = X1
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X2)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ sP15(X1,X2,sK1,sK4,sK0) )
| ~ spl16_166 ),
inference(duplicate_literal_removal,[],[f2893]) ).
fof(f2914,definition,
( spl16_167
<=> ! [X2,X0,X1] :
( ~ member(X0,sK3)
| X0 = X1
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X2)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ sP15(X1,X2,sK1,sK4,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl16_167])],[avatar_definition]) ).
fof(f2915,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X2)
| X0 = X1
| ~ member(X0,sK3)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ sP15(X1,X2,sK1,sK4,sK0) )
| ~ spl16_167 ),
inference(avatar_component_clause,[],[f2914]) ).
fof(f2916,plain,
( spl16_167
| ~ spl16_166 ),
inference(avatar_split_clause,[],[f2908,f2890,f2914]) ).
fof(f2917,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ member(X0,sK3)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ sP15(X1,X2,sK1,sK4,sK0)
| ~ member(X0,sK3)
| ~ member(X2,sK5)
| ~ sP15(X0,X2,sK1,sK4,sK0) )
| ~ spl16_167 ),
inference(resolution,[],[f2915,f87]) ).
fof(f2932,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ member(X0,sK3)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ sP15(X1,X2,sK1,sK4,sK0)
| ~ sP15(X0,X2,sK1,sK4,sK0) )
| ~ spl16_167 ),
inference(duplicate_literal_removal,[],[f2917]) ).
fof(f2938,definition,
( spl16_168
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ member(X0,sK3)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ sP15(X1,X2,sK1,sK4,sK0)
| ~ sP15(X0,X2,sK1,sK4,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl16_168])],[avatar_definition]) ).
fof(f2939,plain,
( ! [X2,X0,X1] :
( ~ sP15(X1,X2,sK1,sK4,sK0)
| ~ member(X0,sK3)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| X0 = X1
| ~ sP15(X0,X2,sK1,sK4,sK0) )
| ~ spl16_168 ),
inference(avatar_component_clause,[],[f2938]) ).
fof(f2940,plain,
( spl16_168
| ~ spl16_167 ),
inference(avatar_split_clause,[],[f2932,f2914,f2938]) ).
fof(f2941,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| X0 = X1
| ~ sP15(X0,X2,sK1,sK4,sK0)
| ~ member(X3,sK4)
| ~ apply(sK0,X1,X3)
| ~ apply(sK1,X3,X2) )
| ~ spl16_168 ),
inference(resolution,[],[f2939,f86]) ).
fof(f2950,definition,
( spl16_169
<=> ! [X0,X3,X2,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| X0 = X1
| ~ sP15(X0,X2,sK1,sK4,sK0)
| ~ member(X3,sK4)
| ~ apply(sK0,X1,X3)
| ~ apply(sK1,X3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl16_169])],[avatar_definition]) ).
fof(f2951,plain,
( ! [X2,X3,X0,X1] :
( ~ sP15(X0,X2,sK1,sK4,sK0)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| X0 = X1
| ~ member(X0,sK3)
| ~ member(X3,sK4)
| ~ apply(sK0,X1,X3)
| ~ apply(sK1,X3,X2) )
| ~ spl16_169 ),
inference(avatar_component_clause,[],[f2950]) ).
fof(f2952,plain,
( spl16_169
| ~ spl16_168 ),
inference(avatar_split_clause,[],[f2941,f2938,f2950]) ).
fof(f2954,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK3)
| ~ member(sK6(sK1,sK5,X1),sK5)
| X0 = X2
| ~ member(X2,sK3)
| ~ member(X3,sK4)
| ~ apply(sK0,X0,X3)
| ~ apply(sK1,X3,sK6(sK1,sK5,X1))
| ~ member(X1,sK4)
| ~ apply(sK0,X2,X1)
| ~ member(X1,sK4) )
| ~ spl16_96
| ~ spl16_169 ),
inference(resolution,[],[f2951,f1529]) ).
fof(f2957,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK3)
| ~ member(sK6(sK1,sK5,X1),sK5)
| X0 = X2
| ~ member(X2,sK3)
| ~ member(X3,sK4)
| ~ apply(sK0,X0,X3)
| ~ apply(sK1,X3,sK6(sK1,sK5,X1))
| ~ member(X1,sK4)
| ~ apply(sK0,X2,X1) )
| ~ spl16_96
| ~ spl16_169 ),
inference(duplicate_literal_removal,[],[f2954]) ).
fof(f2959,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK3)
| X0 = X2
| ~ member(X2,sK3)
| ~ member(X3,sK4)
| ~ apply(sK0,X0,X3)
| ~ apply(sK1,X3,sK6(sK1,sK5,X1))
| ~ member(X1,sK4)
| ~ apply(sK0,X2,X1) )
| ~ spl16_16
| ~ spl16_96
| ~ spl16_169 ),
inference(forward_subsumption_resolution,[],[f2957,f195]) ).
fof(f2998,definition,
( spl16_171
<=> ! [X0,X3,X2,X1] :
( ~ member(X0,sK3)
| X0 = X2
| ~ member(X2,sK3)
| ~ member(X3,sK4)
| ~ apply(sK0,X0,X3)
| ~ apply(sK1,X3,sK6(sK1,sK5,X1))
| ~ member(X1,sK4)
| ~ apply(sK0,X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl16_171])],[avatar_definition]) ).
fof(f2999,plain,
( ! [X2,X3,X0,X1] :
( ~ apply(sK1,X3,sK6(sK1,sK5,X1))
| X0 = X2
| ~ member(X2,sK3)
| ~ member(X3,sK4)
| ~ apply(sK0,X0,X3)
| ~ member(X0,sK3)
| ~ member(X1,sK4)
| ~ apply(sK0,X2,X1) )
| ~ spl16_171 ),
inference(avatar_component_clause,[],[f2998]) ).
fof(f3000,plain,
( spl16_171
| ~ spl16_16
| ~ spl16_96
| ~ spl16_169 ),
inference(avatar_split_clause,[],[f2959,f2950,f1528,f194,f2998]) ).
fof(f3001,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ member(X1,sK3)
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ member(X0,sK3)
| ~ member(X2,sK4)
| ~ apply(sK0,X1,X2)
| ~ member(X2,sK4) )
| ~ spl16_10
| ~ spl16_171 ),
inference(resolution,[],[f2999,f151]) ).
fof(f3017,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ member(X1,sK3)
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ member(X0,sK3)
| ~ apply(sK0,X1,X2) )
| ~ spl16_10
| ~ spl16_171 ),
inference(duplicate_literal_removal,[],[f3001]) ).
fof(f3022,definition,
( spl16_172
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ member(X1,sK3)
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ member(X0,sK3)
| ~ apply(sK0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl16_172])],[avatar_definition]) ).
fof(f3023,plain,
( ! [X2,X0,X1] :
( ~ apply(sK0,X1,X2)
| ~ member(X1,sK3)
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ member(X0,sK3)
| X0 = X1 )
| ~ spl16_172 ),
inference(avatar_component_clause,[],[f3022]) ).
fof(f3024,plain,
( spl16_172
| ~ spl16_10
| ~ spl16_171 ),
inference(avatar_split_clause,[],[f3017,f2998,f150,f3022]) ).
fof(f3025,plain,
( ! [X0,X1] :
( ~ member(X0,sK3)
| ~ member(sK6(sK0,sK4,X0),sK4)
| ~ apply(sK0,X1,sK6(sK0,sK4,X0))
| ~ member(X1,sK3)
| X0 = X1
| ~ member(X0,sK3) )
| ~ spl16_8
| ~ spl16_172 ),
inference(resolution,[],[f3023,f133]) ).
fof(f3045,plain,
( ! [X0,X1] :
( ~ member(X0,sK3)
| ~ member(sK6(sK0,sK4,X0),sK4)
| ~ apply(sK0,X1,sK6(sK0,sK4,X0))
| ~ member(X1,sK3)
| X0 = X1 )
| ~ spl16_8
| ~ spl16_172 ),
inference(duplicate_literal_removal,[],[f3025]) ).
fof(f3052,plain,
( ! [X0,X1] :
( ~ member(X0,sK3)
| ~ apply(sK0,X1,sK6(sK0,sK4,X0))
| ~ member(X1,sK3)
| X0 = X1 )
| ~ spl16_8
| ~ spl16_19
| ~ spl16_172 ),
inference(forward_subsumption_resolution,[],[f3045,f228]) ).
fof(f3072,definition,
( spl16_175
<=> ! [X0,X1] :
( ~ member(X0,sK3)
| ~ apply(sK0,X1,sK6(sK0,sK4,X0))
| ~ member(X1,sK3)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl16_175])],[avatar_definition]) ).
fof(f3073,plain,
( ! [X0,X1] :
( ~ apply(sK0,X1,sK6(sK0,sK4,X0))
| ~ member(X0,sK3)
| ~ member(X1,sK3)
| X0 = X1 )
| ~ spl16_175 ),
inference(avatar_component_clause,[],[f3072]) ).
fof(f3074,plain,
( spl16_175
| ~ spl16_8
| ~ spl16_19
| ~ spl16_172 ),
inference(avatar_split_clause,[],[f3052,f3022,f227,f132,f3072]) ).
fof(f3076,plain,
( ! [X0] :
( ~ member(X0,sK3)
| ~ member(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,X0)),sK6(sK0,sK4,X0)),sK3)
| sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,X0)),sK6(sK0,sK4,X0)) = X0
| ~ member(sK6(sK0,sK4,X0),sK4) )
| ~ spl16_22
| ~ spl16_175 ),
inference(resolution,[],[f3073,f353]) ).
fof(f3092,plain,
( ! [X0] :
( ~ member(X0,sK3)
| sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,X0)),sK6(sK0,sK4,X0)) = X0
| ~ member(sK6(sK0,sK4,X0),sK4) )
| ~ spl16_22
| ~ spl16_24
| ~ spl16_175 ),
inference(forward_subsumption_resolution,[],[f3076,f375]) ).
fof(f3093,plain,
( ! [X0] :
( ~ member(X0,sK3)
| sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,X0)),sK6(sK0,sK4,X0)) = X0 )
| ~ spl16_19
| ~ spl16_22
| ~ spl16_24
| ~ spl16_175 ),
inference(forward_subsumption_resolution,[],[f3092,f228]) ).
fof(f3114,definition,
( spl16_177
<=> ! [X0] :
( ~ member(X0,sK3)
| sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,X0)),sK6(sK0,sK4,X0)) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_177])],[avatar_definition]) ).
fof(f3115,plain,
( ! [X0] :
( sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,X0)),sK6(sK0,sK4,X0)) = X0
| ~ member(X0,sK3) )
| ~ spl16_177 ),
inference(avatar_component_clause,[],[f3114]) ).
fof(f3116,plain,
( spl16_177
| ~ spl16_19
| ~ spl16_22
| ~ spl16_24
| ~ spl16_175 ),
inference(avatar_split_clause,[],[f3093,f3072,f374,f352,f227,f3114]) ).
fof(f3121,plain,
( ! [X0] :
( member(sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,X0)),X0),sK5)
| ~ member(sK6(sK0,sK4,X0),sK4)
| ~ member(X0,sK3) )
| ~ spl16_30
| ~ spl16_177 ),
inference(superposition,[],[f487,f3115]) ).
fof(f3123,plain,
( ! [X0] :
( apply(sK2,sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,X0)),X0),X0)
| ~ member(sK6(sK0,sK4,X0),sK4)
| ~ member(X0,sK3) )
| ~ spl16_36
| ~ spl16_177 ),
inference(superposition,[],[f592,f3115]) ).
fof(f3130,plain,
( ! [X0] :
( apply(sK2,sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,X0)),X0),X0)
| ~ member(X0,sK3) )
| ~ spl16_19
| ~ spl16_36
| ~ spl16_177 ),
inference(forward_subsumption_resolution,[],[f3123,f228]) ).
fof(f3132,plain,
( ! [X0] :
( member(sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,X0)),X0),sK5)
| ~ member(X0,sK3) )
| ~ spl16_19
| ~ spl16_30
| ~ spl16_177 ),
inference(forward_subsumption_resolution,[],[f3121,f228]) ).
fof(f3148,definition,
( spl16_179
<=> ! [X0] :
( apply(sK2,sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,X0)),X0),X0)
| ~ member(X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_179])],[avatar_definition]) ).
fof(f3149,plain,
( ! [X0] :
( apply(sK2,sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,X0)),X0),X0)
| ~ member(X0,sK3) )
| ~ spl16_179 ),
inference(avatar_component_clause,[],[f3148]) ).
fof(f3150,plain,
( spl16_179
| ~ spl16_19
| ~ spl16_36
| ~ spl16_177 ),
inference(avatar_split_clause,[],[f3130,f3114,f591,f227,f3148]) ).
fof(f3191,definition,
( spl16_181
<=> ! [X0] :
( member(sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,X0)),X0),sK5)
| ~ member(X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_181])],[avatar_definition]) ).
fof(f3192,plain,
( ! [X0] :
( member(sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,X0)),X0),sK5)
| ~ member(X0,sK3) )
| ~ spl16_181 ),
inference(avatar_component_clause,[],[f3191]) ).
fof(f3193,plain,
( spl16_181
| ~ spl16_19
| ~ spl16_30
| ~ spl16_177 ),
inference(avatar_split_clause,[],[f3132,f3114,f486,f227,f3191]) ).
fof(f3619,definition,
( spl16_204
<=> ! [X0,X1] :
( ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X0,sK9(sK2,sK5,sK3))
| ~ member(X1,sK3)
| X0 = X1
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,sK8(sK2,sK5,sK3))
| ~ member(X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_204])],[avatar_definition]) ).
fof(f3620,plain,
( ! [X0,X1] :
( ~ apply(compose_function(sK2,compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5,sK3),X0,sK9(sK2,sK5,sK3))
| ~ member(X1,sK3)
| X0 = X1
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,sK8(sK2,sK5,sK3))
| ~ member(X0,sK3) )
| ~ spl16_204 ),
inference(avatar_component_clause,[],[f3619]) ).
fof(f3621,plain,
( spl16_204
| ~ spl16_61
| ~ spl16_69
| ~ spl16_165 ),
inference(avatar_split_clause,[],[f2883,f2863,f1041,f919,f3619]) ).
fof(f3622,plain,
( ! [X0,X1] :
( ~ member(X0,sK3)
| X0 = X1
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X1,sK3)
| ~ member(sK9(sK2,sK5,sK3),sK3)
| ~ sP15(X1,sK9(sK2,sK5,sK3),sK2,sK5,compose_function(sK1,sK0,sK3,sK4,sK5)) )
| ~ spl16_204 ),
inference(resolution,[],[f3620,f87]) ).
fof(f3625,plain,
( ! [X0,X1] :
( ~ member(X0,sK3)
| X0 = X1
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(sK9(sK2,sK5,sK3),sK3)
| ~ sP15(X1,sK9(sK2,sK5,sK3),sK2,sK5,compose_function(sK1,sK0,sK3,sK4,sK5)) )
| ~ spl16_204 ),
inference(duplicate_literal_removal,[],[f3622]) ).
fof(f5865,definition,
( spl16_290
<=> ! [X0,X1] :
( X0 = X1
| ~ apply(sK1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X1),X1),X0)
| ~ member(X0,sK5)
| ~ member(X1,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_290])],[avatar_definition]) ).
fof(f5866,plain,
( ! [X0,X1] :
( ~ apply(sK1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X1),X1),X0)
| X0 = X1
| ~ member(X0,sK5)
| ~ member(X1,sK5) )
| ~ spl16_290 ),
inference(avatar_component_clause,[],[f5865]) ).
fof(f5867,plain,
( spl16_290
| ~ spl16_23
| ~ spl16_25
| ~ spl16_27 ),
inference(avatar_split_clause,[],[f448,f435,f398,f363,f5865]) ).
fof(f6636,plain,
( ~ member(sK10(sK2,sK1,sK5,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK6(sK0,sK4,sK11(sK2,sK5,sK3))),sK11(sK2,sK5,sK3)),sK5)
| ~ member(sK11(sK2,sK5,sK3),sK3)
| ~ spl16_58
| ~ spl16_179 ),
inference(resolution,[],[f879,f3149]) ).
fof(f6642,plain,
( ~ member(sK11(sK2,sK5,sK3),sK3)
| ~ spl16_58
| ~ spl16_179
| ~ spl16_181 ),
inference(forward_subsumption_resolution,[],[f6636,f3192]) ).
fof(f6644,definition,
( spl16_312
<=> member(sK11(sK2,sK5,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl16_312])],[avatar_definition]) ).
fof(f6645,plain,
( member(sK11(sK2,sK5,sK3),sK3)
| ~ spl16_312 ),
inference(avatar_component_clause,[],[f6644]) ).
fof(f6646,plain,
( ~ member(sK11(sK2,sK5,sK3),sK3)
| spl16_312 ),
inference(avatar_component_clause,[],[f6644]) ).
fof(f6650,plain,
( surjective(sK2,sK5,sK3)
| spl16_312 ),
inference(resolution,[],[f6646,f80]) ).
fof(f6651,plain,
( $false
| spl16_56
| spl16_312 ),
inference(forward_subsumption_resolution,[],[f6650,f869]) ).
fof(f6652,plain,
( spl16_56
| spl16_312 ),
inference(avatar_contradiction_clause,[],[f6651]) ).
fof(f6654,plain,
( $false
| ~ spl16_58
| ~ spl16_179
| ~ spl16_181
| ~ spl16_312 ),
inference(forward_subsumption_resolution,[],[f6642,f6645]) ).
fof(f6655,plain,
( ~ spl16_58
| ~ spl16_179
| ~ spl16_181
| ~ spl16_312 ),
inference(avatar_contradiction_clause,[],[f6654]) ).
fof(f6665,plain,
( ! [X0,X1] :
( ~ member(X0,sK3)
| X0 = X1
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ sP15(X1,sK9(sK2,sK5,sK3),sK2,sK5,compose_function(sK1,sK0,sK3,sK4,sK5)) )
| ~ spl16_66
| ~ spl16_204 ),
inference(forward_subsumption_resolution,[],[f3625,f998]) ).
fof(f7462,definition,
( spl16_342
<=> ! [X0,X1] :
( ~ member(X0,sK3)
| X0 = X1
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ sP15(X1,sK9(sK2,sK5,sK3),sK2,sK5,compose_function(sK1,sK0,sK3,sK4,sK5)) ) ),
introduced(definition,[new_symbols(definition,[spl16_342])],[avatar_definition]) ).
fof(f7463,plain,
( ! [X0,X1] :
( ~ sP15(X1,sK9(sK2,sK5,sK3),sK2,sK5,compose_function(sK1,sK0,sK3,sK4,sK5))
| X0 = X1
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X0,sK3) )
| ~ spl16_342 ),
inference(avatar_component_clause,[],[f7462]) ).
fof(f7464,plain,
( spl16_342
| ~ spl16_66
| ~ spl16_204 ),
inference(avatar_split_clause,[],[f6665,f3619,f996,f7462]) ).
fof(f7465,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3)) )
| ~ spl16_342 ),
inference(resolution,[],[f7463,f86]) ).
fof(f7467,definition,
( spl16_343
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl16_343])],[avatar_definition]) ).
fof(f7468,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,sK8(sK2,sK5,sK3))
| X0 = X1
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3)) )
| ~ spl16_343 ),
inference(avatar_component_clause,[],[f7467]) ).
fof(f7469,plain,
( spl16_343
| ~ spl16_342 ),
inference(avatar_split_clause,[],[f7465,f7462,f7467]) ).
fof(f7470,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| ~ member(X0,sK3)
| ~ member(sK8(sK2,sK5,sK3),sK5)
| ~ sP15(X0,sK8(sK2,sK5,sK3),sK1,sK4,sK0) )
| ~ spl16_343 ),
inference(resolution,[],[f7468,f87]) ).
fof(f7474,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| ~ member(sK8(sK2,sK5,sK3),sK5)
| ~ sP15(X0,sK8(sK2,sK5,sK3),sK1,sK4,sK0) )
| ~ spl16_343 ),
inference(duplicate_literal_removal,[],[f7470]) ).
fof(f7475,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| ~ sP15(X0,sK8(sK2,sK5,sK3),sK1,sK4,sK0) )
| ~ spl16_61
| ~ spl16_343 ),
inference(forward_subsumption_resolution,[],[f7474,f921]) ).
fof(f7477,definition,
( spl16_344
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| ~ sP15(X0,sK8(sK2,sK5,sK3),sK1,sK4,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl16_344])],[avatar_definition]) ).
fof(f7478,plain,
( ! [X2,X0,X1] :
( ~ sP15(X0,sK8(sK2,sK5,sK3),sK1,sK4,sK0)
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| X0 = X1 )
| ~ spl16_344 ),
inference(avatar_component_clause,[],[f7477]) ).
fof(f7479,plain,
( spl16_344
| ~ spl16_61
| ~ spl16_343 ),
inference(avatar_split_clause,[],[f7475,f7467,f919,f7477]) ).
fof(f7480,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| X0 = X1
| ~ member(X3,sK4)
| ~ apply(sK0,X1,X3)
| ~ apply(sK1,X3,sK8(sK2,sK5,sK3)) )
| ~ spl16_344 ),
inference(resolution,[],[f7478,f86]) ).
fof(f7482,definition,
( spl16_345
<=> ! [X0,X3,X2,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| X0 = X1
| ~ member(X3,sK4)
| ~ apply(sK0,X1,X3)
| ~ apply(sK1,X3,sK8(sK2,sK5,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl16_345])],[avatar_definition]) ).
fof(f7483,plain,
( ! [X2,X3,X0,X1] :
( ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X2)
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ member(X0,sK3)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| X0 = X1
| ~ member(X3,sK4)
| ~ apply(sK0,X1,X3)
| ~ apply(sK1,X3,sK8(sK2,sK5,sK3)) )
| ~ spl16_345 ),
inference(avatar_component_clause,[],[f7482]) ).
fof(f7484,plain,
( spl16_345
| ~ spl16_344 ),
inference(avatar_split_clause,[],[f7480,f7477,f7482]) ).
fof(f7486,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK5)
| ~ member(X2,sK3)
| ~ apply(sK2,X1,sK9(sK2,sK5,sK3))
| X0 = X2
| ~ member(X3,sK4)
| ~ apply(sK0,X0,X3)
| ~ apply(sK1,X3,sK8(sK2,sK5,sK3))
| ~ member(X2,sK3)
| ~ member(X1,sK5)
| ~ sP15(X2,X1,sK1,sK4,sK0) )
| ~ spl16_345 ),
inference(resolution,[],[f7483,f87]) ).
fof(f7506,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK5)
| ~ member(X2,sK3)
| ~ apply(sK2,X1,sK9(sK2,sK5,sK3))
| X0 = X2
| ~ member(X3,sK4)
| ~ apply(sK0,X0,X3)
| ~ apply(sK1,X3,sK8(sK2,sK5,sK3))
| ~ sP15(X2,X1,sK1,sK4,sK0) )
| ~ spl16_345 ),
inference(duplicate_literal_removal,[],[f7486]) ).
fof(f7517,definition,
( spl16_346
<=> ! [X0,X3,X2,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK5)
| ~ member(X2,sK3)
| ~ apply(sK2,X1,sK9(sK2,sK5,sK3))
| X0 = X2
| ~ member(X3,sK4)
| ~ apply(sK0,X0,X3)
| ~ apply(sK1,X3,sK8(sK2,sK5,sK3))
| ~ sP15(X2,X1,sK1,sK4,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl16_346])],[avatar_definition]) ).
fof(f7518,plain,
( ! [X2,X3,X0,X1] :
( ~ apply(sK2,X1,sK9(sK2,sK5,sK3))
| ~ member(X1,sK5)
| ~ member(X2,sK3)
| ~ member(X0,sK3)
| X0 = X2
| ~ member(X3,sK4)
| ~ apply(sK0,X0,X3)
| ~ apply(sK1,X3,sK8(sK2,sK5,sK3))
| ~ sP15(X2,X1,sK1,sK4,sK0) )
| ~ spl16_346 ),
inference(avatar_component_clause,[],[f7517]) ).
fof(f7519,plain,
( spl16_346
| ~ spl16_345 ),
inference(avatar_split_clause,[],[f7506,f7482,f7517]) ).
fof(f7520,plain,
( ! [X2,X0,X1] :
( ~ member(sK7(sK2,sK5,sK3),sK5)
| ~ member(X0,sK3)
| ~ member(X1,sK3)
| X0 = X1
| ~ member(X2,sK4)
| ~ apply(sK0,X1,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ sP15(X0,sK7(sK2,sK5,sK3),sK1,sK4,sK0) )
| ~ spl16_60
| ~ spl16_346 ),
inference(resolution,[],[f7518,f907]) ).
fof(f7540,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK3)
| X0 = X1
| ~ member(X2,sK4)
| ~ apply(sK0,X1,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ sP15(X0,sK7(sK2,sK5,sK3),sK1,sK4,sK0) )
| ~ spl16_60
| ~ spl16_62
| ~ spl16_346 ),
inference(forward_subsumption_resolution,[],[f7520,f926]) ).
fof(f7546,definition,
( spl16_347
<=> ! [X2,X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK3)
| X0 = X1
| ~ member(X2,sK4)
| ~ apply(sK0,X1,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ sP15(X0,sK7(sK2,sK5,sK3),sK1,sK4,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl16_347])],[avatar_definition]) ).
fof(f7547,plain,
( ! [X2,X0,X1] :
( ~ sP15(X0,sK7(sK2,sK5,sK3),sK1,sK4,sK0)
| ~ member(X1,sK3)
| X0 = X1
| ~ member(X2,sK4)
| ~ apply(sK0,X1,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X0,sK3) )
| ~ spl16_347 ),
inference(avatar_component_clause,[],[f7546]) ).
fof(f7548,plain,
( spl16_347
| ~ spl16_60
| ~ spl16_62
| ~ spl16_346 ),
inference(avatar_split_clause,[],[f7540,f7517,f924,f905,f7546]) ).
fof(f7549,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK3)
| X0 = X1
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X3,sK4)
| ~ apply(sK0,X1,X3)
| ~ apply(sK1,X3,sK7(sK2,sK5,sK3)) )
| ~ spl16_347 ),
inference(resolution,[],[f7547,f86]) ).
fof(f7551,definition,
( spl16_348
<=> ! [X0,X3,X2,X1] :
( ~ member(X0,sK3)
| X0 = X1
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X3,sK4)
| ~ apply(sK0,X1,X3)
| ~ apply(sK1,X3,sK7(sK2,sK5,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl16_348])],[avatar_definition]) ).
fof(f7552,plain,
( ! [X2,X3,X0,X1] :
( ~ apply(sK1,X3,sK7(sK2,sK5,sK3))
| X0 = X1
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X3,sK4)
| ~ apply(sK0,X1,X3)
| ~ member(X0,sK3) )
| ~ spl16_348 ),
inference(avatar_component_clause,[],[f7551]) ).
fof(f7553,plain,
( spl16_348
| ~ spl16_347 ),
inference(avatar_split_clause,[],[f7549,f7546,f7551]) ).
fof(f7554,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3)),sK4)
| ~ apply(sK0,X1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3)))
| ~ member(X0,sK3)
| ~ member(sK7(sK2,sK5,sK3),sK5) )
| ~ spl16_23
| ~ spl16_348 ),
inference(resolution,[],[f7552,f364]) ).
fof(f7558,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ apply(sK0,X1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3)))
| ~ member(X0,sK3)
| ~ member(sK7(sK2,sK5,sK3),sK5) )
| ~ spl16_23
| ~ spl16_25
| ~ spl16_348 ),
inference(forward_subsumption_resolution,[],[f7554,f399]) ).
fof(f7559,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ apply(sK0,X1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3)))
| ~ member(X0,sK3) )
| ~ spl16_23
| ~ spl16_25
| ~ spl16_62
| ~ spl16_348 ),
inference(forward_subsumption_resolution,[],[f7558,f926]) ).
fof(f10118,definition,
( spl16_437
<=> apply(sK1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3)),sK8(sK2,sK5,sK3)) ),
introduced(definition,[new_symbols(definition,[spl16_437])],[avatar_definition]) ).
fof(f10119,plain,
( ~ apply(sK1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3)),sK8(sK2,sK5,sK3))
| spl16_437 ),
inference(avatar_component_clause,[],[f10118]) ).
fof(f10120,plain,
( apply(sK1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3)),sK8(sK2,sK5,sK3))
| ~ spl16_437 ),
inference(avatar_component_clause,[],[f10118]) ).
fof(f10124,plain,
( sK8(sK2,sK5,sK3) = sK7(sK2,sK5,sK3)
| ~ member(sK8(sK2,sK5,sK3),sK5)
| ~ member(sK7(sK2,sK5,sK3),sK5)
| ~ spl16_290
| ~ spl16_437 ),
inference(resolution,[],[f10120,f5866]) ).
fof(f10138,plain,
( ~ member(sK8(sK2,sK5,sK3),sK5)
| ~ member(sK7(sK2,sK5,sK3),sK5)
| spl16_63
| ~ spl16_290
| ~ spl16_437 ),
inference(forward_subsumption_resolution,[],[f10124,f951]) ).
fof(f10139,plain,
( ~ member(sK7(sK2,sK5,sK3),sK5)
| ~ spl16_61
| spl16_63
| ~ spl16_290
| ~ spl16_437 ),
inference(forward_subsumption_resolution,[],[f10138,f921]) ).
fof(f10140,plain,
( $false
| ~ spl16_61
| ~ spl16_62
| spl16_63
| ~ spl16_290
| ~ spl16_437 ),
inference(forward_subsumption_resolution,[],[f10139,f926]) ).
fof(f10141,plain,
( ~ spl16_61
| ~ spl16_62
| spl16_63
| ~ spl16_290
| ~ spl16_437 ),
inference(avatar_contradiction_clause,[],[f10140]) ).
fof(f14665,definition,
( spl16_582
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ apply(sK0,X1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3)))
| ~ member(X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_582])],[avatar_definition]) ).
fof(f14666,plain,
( ! [X2,X0,X1] :
( ~ apply(sK0,X1,sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3)))
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| X0 = X1
| ~ member(X0,sK3) )
| ~ spl16_582 ),
inference(avatar_component_clause,[],[f14665]) ).
fof(f14667,plain,
( spl16_582
| ~ spl16_23
| ~ spl16_25
| ~ spl16_62
| ~ spl16_348 ),
inference(avatar_split_clause,[],[f7559,f7551,f924,f398,f363,f14665]) ).
fof(f14668,plain,
( ! [X0,X1] :
( ~ member(X0,sK4)
| ~ apply(sK0,X1,X0)
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3))),sK3)
| sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3))) = X1
| ~ member(X1,sK3)
| ~ member(sK7(sK2,sK5,sK3),sK5) )
| ~ spl16_40
| ~ spl16_582 ),
inference(resolution,[],[f14666,f679]) ).
fof(f14680,plain,
( ! [X0,X1] :
( ~ member(X0,sK4)
| ~ apply(sK0,X1,X0)
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3))) = X1
| ~ member(X1,sK3)
| ~ member(sK7(sK2,sK5,sK3),sK5) )
| ~ spl16_32
| ~ spl16_40
| ~ spl16_582 ),
inference(forward_subsumption_resolution,[],[f14668,f530]) ).
fof(f14681,plain,
( ! [X0,X1] :
( ~ member(X0,sK4)
| ~ apply(sK0,X1,X0)
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3))) = X1
| ~ member(X1,sK3) )
| ~ spl16_32
| ~ spl16_40
| ~ spl16_62
| ~ spl16_582 ),
inference(forward_subsumption_resolution,[],[f14680,f926]) ).
fof(f14683,definition,
( spl16_583
<=> ! [X0,X1] :
( ~ member(X0,sK4)
| ~ apply(sK0,X1,X0)
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3))) = X1
| ~ member(X1,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_583])],[avatar_definition]) ).
fof(f14684,plain,
( ! [X0,X1] :
( sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3))) = X1
| ~ apply(sK0,X1,X0)
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X0,sK4)
| ~ member(X1,sK3) )
| ~ spl16_583 ),
inference(avatar_component_clause,[],[f14683]) ).
fof(f14685,plain,
( spl16_583
| ~ spl16_32
| ~ spl16_40
| ~ spl16_62
| ~ spl16_582 ),
inference(avatar_split_clause,[],[f14681,f14665,f924,f678,f529,f14683]) ).
fof(f34821,definition,
( spl16_1003
<=> ! [X0,X1] :
( ~ member(X0,sK5)
| sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0) = X1
| ~ apply(sK0,sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),X1)
| ~ member(X1,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl16_1003])],[avatar_definition]) ).
fof(f34822,plain,
( ! [X0,X1] :
( ~ apply(sK0,sK10(sK0,sK2,sK3,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0)),X1)
| sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),X0) = X1
| ~ member(X0,sK5)
| ~ member(X1,sK4) )
| ~ spl16_1003 ),
inference(avatar_component_clause,[],[f34821]) ).
fof(f34823,plain,
( spl16_1003
| ~ spl16_25
| ~ spl16_28
| ~ spl16_32
| ~ spl16_40 ),
inference(avatar_split_clause,[],[f689,f678,f529,f451,f398,f34821]) ).
fof(f34842,plain,
( ! [X2,X0,X1] :
( ~ apply(sK0,X0,X1)
| sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3)) = X1
| ~ member(sK7(sK2,sK5,sK3),sK5)
| ~ member(X1,sK4)
| ~ apply(sK0,X0,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X2,sK4)
| ~ member(X0,sK3) )
| ~ spl16_583
| ~ spl16_1003 ),
inference(superposition,[],[f34822,f14684]) ).
fof(f34852,plain,
( ! [X2,X0,X1] :
( ~ apply(sK0,X0,X1)
| sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3)) = X1
| ~ member(X1,sK4)
| ~ apply(sK0,X0,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X2,sK4)
| ~ member(X0,sK3) )
| ~ spl16_62
| ~ spl16_583
| ~ spl16_1003 ),
inference(forward_subsumption_resolution,[],[f34842,f926]) ).
fof(f40008,definition,
( spl16_1046
<=> ! [X2,X0,X1] :
( ~ apply(sK0,X0,X1)
| sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3)) = X1
| ~ member(X1,sK4)
| ~ apply(sK0,X0,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X2,sK4)
| ~ member(X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_1046])],[avatar_definition]) ).
fof(f40009,plain,
( ! [X2,X0,X1] :
( sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3)) = X1
| ~ apply(sK0,X0,X1)
| ~ member(X1,sK4)
| ~ apply(sK0,X0,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X2,sK4)
| ~ member(X0,sK3) )
| ~ spl16_1046 ),
inference(avatar_component_clause,[],[f40008]) ).
fof(f40010,plain,
( spl16_1046
| ~ spl16_62
| ~ spl16_583
| ~ spl16_1003 ),
inference(avatar_split_clause,[],[f34852,f34821,f14683,f924,f40008]) ).
fof(f40015,plain,
( ! [X2,X0,X1] :
( ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ apply(sK0,X1,X0)
| ~ member(X0,sK4)
| ~ apply(sK0,X1,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X2,sK4)
| ~ member(X1,sK3) )
| spl16_437
| ~ spl16_1046 ),
inference(superposition,[],[f10119,f40009]) ).
fof(f40418,definition,
( spl16_1050
<=> ! [X2,X0,X1] :
( ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ apply(sK0,X1,X0)
| ~ member(X0,sK4)
| ~ apply(sK0,X1,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X2,sK4)
| ~ member(X1,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_1050])],[avatar_definition]) ).
fof(f40419,plain,
( ! [X2,X0,X1] :
( ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ apply(sK0,X1,X0)
| ~ member(X0,sK4)
| ~ apply(sK0,X1,X2)
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X2,sK4)
| ~ member(X1,sK3) )
| ~ spl16_1050 ),
inference(avatar_component_clause,[],[f40418]) ).
fof(f40420,plain,
( spl16_1050
| spl16_437
| ~ spl16_1046 ),
inference(avatar_split_clause,[],[f40015,f40008,f10118,f40418]) ).
fof(f53909,definition,
( spl16_1198
<=> ! [X0,X3,X2,X1] :
( ~ member(X0,sK4)
| ~ member(X0,X1)
| ~ apply(X2,X0,X3)
| sP15(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),X3,X2,X1,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl16_1198])],[avatar_definition]) ).
fof(f53910,plain,
( ! [X2,X3,X0,X1] :
( sP15(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),X3,X2,X1,sK0)
| ~ member(X0,X1)
| ~ apply(X2,X0,X3)
| ~ member(X0,sK4) )
| ~ spl16_1198 ),
inference(avatar_component_clause,[],[f53909]) ).
fof(f53911,plain,
( spl16_1198
| ~ spl16_22 ),
inference(avatar_split_clause,[],[f360,f352,f53909]) ).
fof(f53931,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK4)
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X0,sK4)
| ~ member(X1,sK3)
| ~ member(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0) = X1 )
| ~ spl16_344
| ~ spl16_1198 ),
inference(resolution,[],[f53910,f7478]) ).
fof(f53968,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK4)
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0) = X1 )
| ~ spl16_344
| ~ spl16_1198 ),
inference(duplicate_literal_removal,[],[f53931]) ).
fof(f54002,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK4)
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0) = X1 )
| ~ spl16_24
| ~ spl16_344
| ~ spl16_1198 ),
inference(forward_subsumption_resolution,[],[f53968,f375]) ).
fof(f54601,definition,
( spl16_1207
<=> ! [X2,X0,X1] :
( ~ member(X0,sK4)
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl16_1207])],[avatar_definition]) ).
fof(f54602,plain,
( ! [X2,X0,X1] :
( sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0) = X1
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X1,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| ~ member(X0,sK4) )
| ~ spl16_1207 ),
inference(avatar_component_clause,[],[f54601]) ).
fof(f54603,plain,
( spl16_1207
| ~ spl16_24
| ~ spl16_344
| ~ spl16_1198 ),
inference(avatar_split_clause,[],[f54002,f53909,f7477,f374,f54601]) ).
fof(f54611,plain,
( ! [X2,X0,X1] :
( apply(sK0,X0,X1)
| ~ member(X1,sK4)
| ~ apply(sK1,X1,sK8(sK2,sK5,sK3))
| ~ member(X0,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| ~ member(X1,sK4) )
| ~ spl16_22
| ~ spl16_1207 ),
inference(superposition,[],[f353,f54602]) ).
fof(f54696,plain,
( ! [X2,X0,X1] :
( apply(sK0,X0,X1)
| ~ member(X1,sK4)
| ~ apply(sK1,X1,sK8(sK2,sK5,sK3))
| ~ member(X0,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3)) )
| ~ spl16_22
| ~ spl16_1207 ),
inference(duplicate_literal_removal,[],[f54611]) ).
fof(f54720,definition,
( spl16_1208
<=> ! [X2,X0,X1] :
( apply(sK0,X0,X1)
| ~ member(X1,sK4)
| ~ apply(sK1,X1,sK8(sK2,sK5,sK3))
| ~ member(X0,sK3)
| ~ member(X2,sK5)
| ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X2)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl16_1208])],[avatar_definition]) ).
fof(f54721,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),X0,X2)
| ~ member(X1,sK4)
| ~ apply(sK1,X1,sK8(sK2,sK5,sK3))
| ~ member(X0,sK3)
| ~ member(X2,sK5)
| apply(sK0,X0,X1)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3)) )
| ~ spl16_1208 ),
inference(avatar_component_clause,[],[f54720]) ).
fof(f54722,plain,
( spl16_1208
| ~ spl16_22
| ~ spl16_1207 ),
inference(avatar_split_clause,[],[f54696,f54601,f352,f54720]) ).
fof(f54731,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK4)
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| apply(sK0,X1,X0)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| ~ sP15(X1,X2,sK1,sK4,sK0) )
| ~ spl16_1208 ),
inference(resolution,[],[f54721,f87]) ).
fof(f54794,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK4)
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| apply(sK0,X1,X0)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| ~ sP15(X1,X2,sK1,sK4,sK0) )
| ~ spl16_1208 ),
inference(duplicate_literal_removal,[],[f54731]) ).
fof(f54831,definition,
( spl16_1209
<=> ! [X2,X0,X1] :
( ~ member(X0,sK4)
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| apply(sK0,X1,X0)
| ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| ~ sP15(X1,X2,sK1,sK4,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl16_1209])],[avatar_definition]) ).
fof(f54832,plain,
( ! [X2,X0,X1] :
( ~ apply(sK2,X2,sK9(sK2,sK5,sK3))
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X2,sK5)
| apply(sK0,X1,X0)
| ~ member(X0,sK4)
| ~ sP15(X1,X2,sK1,sK4,sK0) )
| ~ spl16_1209 ),
inference(avatar_component_clause,[],[f54831]) ).
fof(f54833,plain,
( spl16_1209
| ~ spl16_1208 ),
inference(avatar_split_clause,[],[f54794,f54720,f54831]) ).
fof(f54834,plain,
( ! [X0,X1] :
( ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(sK7(sK2,sK5,sK3),sK5)
| apply(sK0,X1,X0)
| ~ member(X0,sK4)
| ~ sP15(X1,sK7(sK2,sK5,sK3),sK1,sK4,sK0) )
| ~ spl16_60
| ~ spl16_1209 ),
inference(resolution,[],[f54832,f907]) ).
fof(f54835,plain,
( ! [X0,X1] :
( ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(sK8(sK2,sK5,sK3),sK5)
| apply(sK0,X1,X0)
| ~ member(X0,sK4)
| ~ sP15(X1,sK8(sK2,sK5,sK3),sK1,sK4,sK0) )
| ~ spl16_59
| ~ spl16_1209 ),
inference(resolution,[],[f54832,f893]) ).
fof(f54875,plain,
( ! [X0,X1] :
( ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| apply(sK0,X1,X0)
| ~ member(X0,sK4)
| ~ sP15(X1,sK8(sK2,sK5,sK3),sK1,sK4,sK0) )
| ~ spl16_59
| ~ spl16_61
| ~ spl16_1209 ),
inference(forward_subsumption_resolution,[],[f54835,f921]) ).
fof(f54876,plain,
( ! [X0,X1] :
( ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| apply(sK0,X1,X0)
| ~ member(X0,sK4)
| ~ sP15(X1,sK7(sK2,sK5,sK3),sK1,sK4,sK0) )
| ~ spl16_60
| ~ spl16_62
| ~ spl16_1209 ),
inference(forward_subsumption_resolution,[],[f54834,f926]) ).
fof(f54898,definition,
( spl16_1210
<=> ! [X0,X1] :
( ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| apply(sK0,X1,X0)
| ~ member(X0,sK4)
| ~ sP15(X1,sK8(sK2,sK5,sK3),sK1,sK4,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl16_1210])],[avatar_definition]) ).
fof(f54899,plain,
( ! [X0,X1] :
( ~ sP15(X1,sK8(sK2,sK5,sK3),sK1,sK4,sK0)
| ~ member(X1,sK3)
| apply(sK0,X1,X0)
| ~ member(X0,sK4)
| ~ apply(sK1,X0,sK8(sK2,sK5,sK3)) )
| ~ spl16_1210 ),
inference(avatar_component_clause,[],[f54898]) ).
fof(f54900,plain,
( spl16_1210
| ~ spl16_59
| ~ spl16_61
| ~ spl16_1209 ),
inference(avatar_split_clause,[],[f54875,f54831,f919,f891,f54898]) ).
fof(f54901,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK3)
| apply(sK0,X0,X1)
| ~ member(X1,sK4)
| ~ apply(sK1,X1,sK8(sK2,sK5,sK3))
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3)) )
| ~ spl16_1210 ),
inference(resolution,[],[f54899,f86]) ).
fof(f54905,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK4)
| ~ apply(sK1,X1,sK8(sK2,sK5,sK3))
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3)) )
| ~ spl16_1050
| ~ spl16_1210 ),
inference(forward_subsumption_resolution,[],[f54901,f40419]) ).
fof(f54907,definition,
( spl16_1211
<=> ! [X1] :
( ~ member(X1,sK4)
| ~ apply(sK1,X1,sK8(sK2,sK5,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl16_1211])],[avatar_definition]) ).
fof(f54908,plain,
( ! [X1] :
( ~ apply(sK1,X1,sK8(sK2,sK5,sK3))
| ~ member(X1,sK4) )
| ~ spl16_1211 ),
inference(avatar_component_clause,[],[f54907]) ).
fof(f54910,definition,
( spl16_1212
<=> ! [X2,X0] :
( ~ member(X0,sK3)
| ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ apply(sK0,X0,X2)
| ~ member(X2,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl16_1212])],[avatar_definition]) ).
fof(f54911,plain,
( ! [X2,X0] :
( ~ apply(sK1,X2,sK8(sK2,sK5,sK3))
| ~ member(X0,sK3)
| ~ apply(sK0,X0,X2)
| ~ member(X2,sK4) )
| ~ spl16_1212 ),
inference(avatar_component_clause,[],[f54910]) ).
fof(f54912,plain,
( spl16_1211
| spl16_1212
| ~ spl16_1050
| ~ spl16_1210 ),
inference(avatar_split_clause,[],[f54905,f54898,f40418,f54910,f54907]) ).
fof(f54914,plain,
( ~ member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK8(sK2,sK5,sK3)),sK8(sK2,sK5,sK3)),sK4)
| ~ member(sK8(sK2,sK5,sK3),sK5)
| ~ spl16_23
| ~ spl16_1211 ),
inference(resolution,[],[f54908,f364]) ).
fof(f54924,plain,
( ~ member(sK8(sK2,sK5,sK3),sK5)
| ~ spl16_23
| ~ spl16_25
| ~ spl16_1211 ),
inference(forward_subsumption_resolution,[],[f54914,f399]) ).
fof(f54929,plain,
( $false
| ~ spl16_23
| ~ spl16_25
| ~ spl16_61
| ~ spl16_1211 ),
inference(forward_subsumption_resolution,[],[f54924,f921]) ).
fof(f54930,plain,
( ~ spl16_23
| ~ spl16_25
| ~ spl16_61
| ~ spl16_1211 ),
inference(avatar_contradiction_clause,[],[f54929]) ).
fof(f55004,definition,
( spl16_1216
<=> ! [X0,X1] :
( ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| apply(sK0,X1,X0)
| ~ member(X0,sK4)
| ~ sP15(X1,sK7(sK2,sK5,sK3),sK1,sK4,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl16_1216])],[avatar_definition]) ).
fof(f55005,plain,
( ! [X0,X1] :
( ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| apply(sK0,X1,X0)
| ~ member(X0,sK4)
| ~ sP15(X1,sK7(sK2,sK5,sK3),sK1,sK4,sK0) )
| ~ spl16_1216 ),
inference(avatar_component_clause,[],[f55004]) ).
fof(f55006,plain,
( spl16_1216
| ~ spl16_60
| ~ spl16_62
| ~ spl16_1209 ),
inference(avatar_split_clause,[],[f54876,f54831,f924,f905,f55004]) ).
fof(f55007,plain,
( ! [X0,X1] :
( ~ apply(sK1,X0,sK8(sK2,sK5,sK3))
| ~ member(X1,sK3)
| ~ member(X0,sK4)
| ~ sP15(X1,sK7(sK2,sK5,sK3),sK1,sK4,sK0) )
| ~ spl16_1212
| ~ spl16_1216 ),
inference(forward_subsumption_resolution,[],[f55005,f54911]) ).
fof(f55009,definition,
( spl16_1217
<=> ! [X1] :
( ~ member(X1,sK3)
| ~ sP15(X1,sK7(sK2,sK5,sK3),sK1,sK4,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl16_1217])],[avatar_definition]) ).
fof(f55010,plain,
( ! [X1] :
( ~ sP15(X1,sK7(sK2,sK5,sK3),sK1,sK4,sK0)
| ~ member(X1,sK3) )
| ~ spl16_1217 ),
inference(avatar_component_clause,[],[f55009]) ).
fof(f55011,plain,
( spl16_1217
| spl16_1211
| ~ spl16_1212
| ~ spl16_1216 ),
inference(avatar_split_clause,[],[f55007,f55004,f54910,f54907,f55009]) ).
fof(f55013,plain,
( ! [X0] :
( ~ member(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),sK3)
| ~ member(X0,sK4)
| ~ apply(sK1,X0,sK7(sK2,sK5,sK3))
| ~ member(X0,sK4) )
| ~ spl16_1198
| ~ spl16_1217 ),
inference(resolution,[],[f55010,f53910]) ).
fof(f55014,plain,
( ! [X0] :
( ~ member(sK10(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK3,sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),X0),sK3)
| ~ member(X0,sK4)
| ~ apply(sK1,X0,sK7(sK2,sK5,sK3)) )
| ~ spl16_1198
| ~ spl16_1217 ),
inference(duplicate_literal_removal,[],[f55013]) ).
fof(f55015,plain,
( ! [X0] :
( ~ member(X0,sK4)
| ~ apply(sK1,X0,sK7(sK2,sK5,sK3)) )
| ~ spl16_24
| ~ spl16_1198
| ~ spl16_1217 ),
inference(forward_subsumption_resolution,[],[f55014,f375]) ).
fof(f55017,definition,
( spl16_1218
<=> ! [X0] :
( ~ member(X0,sK4)
| ~ apply(sK1,X0,sK7(sK2,sK5,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl16_1218])],[avatar_definition]) ).
fof(f55018,plain,
( ! [X0] :
( ~ apply(sK1,X0,sK7(sK2,sK5,sK3))
| ~ member(X0,sK4) )
| ~ spl16_1218 ),
inference(avatar_component_clause,[],[f55017]) ).
fof(f55019,plain,
( spl16_1218
| ~ spl16_24
| ~ spl16_1198
| ~ spl16_1217 ),
inference(avatar_split_clause,[],[f55015,f55009,f53909,f374,f55017]) ).
fof(f55021,plain,
( ~ member(sK10(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK4,sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK7(sK2,sK5,sK3)),sK7(sK2,sK5,sK3)),sK4)
| ~ member(sK7(sK2,sK5,sK3),sK5)
| ~ spl16_23
| ~ spl16_1218 ),
inference(resolution,[],[f55018,f364]) ).
fof(f55030,plain,
( ~ member(sK7(sK2,sK5,sK3),sK5)
| ~ spl16_23
| ~ spl16_25
| ~ spl16_1218 ),
inference(forward_subsumption_resolution,[],[f55021,f399]) ).
fof(f55035,plain,
( $false
| ~ spl16_23
| ~ spl16_25
| ~ spl16_62
| ~ spl16_1218 ),
inference(forward_subsumption_resolution,[],[f55030,f926]) ).
fof(f55036,plain,
( ~ spl16_23
| ~ spl16_25
| ~ spl16_62
| ~ spl16_1218 ),
inference(avatar_contradiction_clause,[],[f55035]) ).
cnf(s1,plain,
~ spl16_1,
inference(sat_conversion,[],[f92]) ).
cnf(s2,plain,
spl16_2,
inference(sat_conversion,[],[f98]) ).
cnf(s3,plain,
spl16_3,
inference(sat_conversion,[],[f105]) ).
cnf(s4,plain,
( ~ spl16_2
| spl16_4 ),
inference(sat_conversion,[],[f109]) ).
cnf(s5,plain,
spl16_5,
inference(sat_conversion,[],[f114]) ).
cnf(s6,plain,
spl16_6,
inference(sat_conversion,[],[f119]) ).
cnf(s7,plain,
spl16_7,
inference(sat_conversion,[],[f127]) ).
cnf(s8,plain,
( ~ spl16_7
| spl16_8 ),
inference(sat_conversion,[],[f134]) ).
cnf(s9,plain,
spl16_9,
inference(sat_conversion,[],[f145]) ).
cnf(s10,plain,
( ~ spl16_9
| spl16_10 ),
inference(sat_conversion,[],[f152]) ).
cnf(s11,plain,
( ~ spl16_5
| spl16_11 ),
inference(sat_conversion,[],[f165]) ).
cnf(s12,plain,
( ~ spl16_5
| spl16_12 ),
inference(sat_conversion,[],[f175]) ).
cnf(s13,plain,
( ~ spl16_7
| spl16_13 ),
inference(sat_conversion,[],[f179]) ).
cnf(s14,plain,
( ~ spl16_9
| spl16_14 ),
inference(sat_conversion,[],[f187]) ).
cnf(s15,plain,
( ~ spl16_5
| spl16_15 ),
inference(sat_conversion,[],[f192]) ).
cnf(s16,plain,
( ~ spl16_9
| spl16_16 ),
inference(sat_conversion,[],[f196]) ).
cnf(s17,plain,
( ~ spl16_3
| spl16_17 ),
inference(sat_conversion,[],[f200]) ).
cnf(s18,plain,
( ~ spl16_6
| spl16_18 ),
inference(sat_conversion,[],[f204]) ).
cnf(s19,plain,
( ~ spl16_7
| spl16_19 ),
inference(sat_conversion,[],[f229]) ).
cnf(s20,plain,
( ~ spl16_6
| spl16_20 ),
inference(sat_conversion,[],[f314]) ).
cnf(s21,plain,
( ~ spl16_3
| spl16_21 ),
inference(sat_conversion,[],[f334]) ).
cnf(s22,plain,
( ~ spl16_18
| ~ spl16_20
| spl16_22 ),
inference(sat_conversion,[],[f354]) ).
cnf(s23,plain,
( ~ spl16_17
| ~ spl16_21
| spl16_23 ),
inference(sat_conversion,[],[f365]) ).
cnf(s24,plain,
( ~ spl16_18
| ~ spl16_20
| spl16_24 ),
inference(sat_conversion,[],[f376]) ).
cnf(s25,plain,
( ~ spl16_17
| ~ spl16_21
| spl16_25 ),
inference(sat_conversion,[],[f400]) ).
cnf(s26,plain,
( ~ spl16_12
| spl16_26 ),
inference(sat_conversion,[],[f424]) ).
cnf(s27,plain,
( ~ spl16_14
| spl16_27 ),
inference(sat_conversion,[],[f437]) ).
cnf(s28,plain,
( ~ spl16_13
| spl16_28 ),
inference(sat_conversion,[],[f453]) ).
cnf(s29,plain,
( ~ spl16_18
| ~ spl16_20
| spl16_29 ),
inference(sat_conversion,[],[f469]) ).
cnf(s30,plain,
( ~ spl16_18
| ~ spl16_24
| ~ spl16_29
| spl16_30 ),
inference(sat_conversion,[],[f488]) ).
cnf(s31,plain,
( ~ spl16_17
| ~ spl16_21
| spl16_31 ),
inference(sat_conversion,[],[f512]) ).
cnf(s32,plain,
( ~ spl16_17
| ~ spl16_25
| ~ spl16_31
| spl16_32 ),
inference(sat_conversion,[],[f531]) ).
cnf(s36,plain,
( ~ spl16_18
| ~ spl16_24
| ~ spl16_29
| spl16_36 ),
inference(sat_conversion,[],[f593]) ).
cnf(s40,plain,
( ~ spl16_17
| ~ spl16_25
| ~ spl16_31
| spl16_40 ),
inference(sat_conversion,[],[f680]) ).
cnf(s41,plain,
( ~ spl16_11
| spl16_41 ),
inference(sat_conversion,[],[f693]) ).
cnf(s55,plain,
( spl16_1
| ~ spl16_56
| ~ spl16_57 ),
inference(sat_conversion,[],[f874]) ).
cnf(s56,plain,
( spl16_56
| spl16_58 ),
inference(sat_conversion,[],[f880]) ).
cnf(s57,plain,
( spl16_57
| spl16_59 ),
inference(sat_conversion,[],[f894]) ).
cnf(s58,plain,
( spl16_57
| spl16_60 ),
inference(sat_conversion,[],[f908]) ).
cnf(s59,plain,
( spl16_57
| spl16_61 ),
inference(sat_conversion,[],[f922]) ).
cnf(s60,plain,
( spl16_57
| spl16_62 ),
inference(sat_conversion,[],[f927]) ).
cnf(s61,plain,
( spl16_57
| ~ spl16_63 ),
inference(sat_conversion,[],[f952]) ).
cnf(s62,plain,
( ~ spl16_26
| spl16_57
| ~ spl16_59
| spl16_64 ),
inference(sat_conversion,[],[f976]) ).
cnf(s64,plain,
( spl16_57
| spl16_66 ),
inference(sat_conversion,[],[f999]) ).
cnf(s67,plain,
( ~ spl16_11
| ~ spl16_15
| ~ spl16_61
| ~ spl16_64
| spl16_69 ),
inference(sat_conversion,[],[f1044]) ).
cnf(s93,plain,
( ~ spl16_10
| spl16_96 ),
inference(sat_conversion,[],[f1530]) ).
cnf(s104,plain,
( ~ spl16_4
| spl16_107 ),
inference(sat_conversion,[],[f1719]) ).
cnf(s161,plain,
( ~ spl16_41
| spl16_164 ),
inference(sat_conversion,[],[f2824]) ).
cnf(s162,plain,
( ~ spl16_15
| ~ spl16_107
| ~ spl16_164
| spl16_165 ),
inference(sat_conversion,[],[f2865]) ).
cnf(s163,plain,
( ~ spl16_15
| ~ spl16_164
| ~ spl16_165
| spl16_166 ),
inference(sat_conversion,[],[f2892]) ).
cnf(s164,plain,
( ~ spl16_166
| spl16_167 ),
inference(sat_conversion,[],[f2916]) ).
cnf(s165,plain,
( ~ spl16_167
| spl16_168 ),
inference(sat_conversion,[],[f2940]) ).
cnf(s166,plain,
( ~ spl16_168
| spl16_169 ),
inference(sat_conversion,[],[f2952]) ).
cnf(s168,plain,
( ~ spl16_16
| ~ spl16_96
| ~ spl16_169
| spl16_171 ),
inference(sat_conversion,[],[f3000]) ).
cnf(s169,plain,
( ~ spl16_10
| ~ spl16_171
| spl16_172 ),
inference(sat_conversion,[],[f3024]) ).
cnf(s172,plain,
( ~ spl16_8
| ~ spl16_19
| ~ spl16_172
| spl16_175 ),
inference(sat_conversion,[],[f3074]) ).
cnf(s174,plain,
( ~ spl16_19
| ~ spl16_22
| ~ spl16_24
| ~ spl16_175
| spl16_177 ),
inference(sat_conversion,[],[f3116]) ).
cnf(s176,plain,
( ~ spl16_19
| ~ spl16_36
| ~ spl16_177
| spl16_179 ),
inference(sat_conversion,[],[f3150]) ).
cnf(s178,plain,
( ~ spl16_19
| ~ spl16_30
| ~ spl16_177
| spl16_181 ),
inference(sat_conversion,[],[f3193]) ).
cnf(s199,plain,
( ~ spl16_61
| ~ spl16_69
| ~ spl16_165
| spl16_204 ),
inference(sat_conversion,[],[f3621]) ).
cnf(s282,plain,
( ~ spl16_23
| ~ spl16_25
| ~ spl16_27
| spl16_290 ),
inference(sat_conversion,[],[f5867]) ).
cnf(s308,plain,
( spl16_56
| spl16_312 ),
inference(sat_conversion,[],[f6652]) ).
cnf(s309,plain,
( ~ spl16_58
| ~ spl16_179
| ~ spl16_181
| ~ spl16_312 ),
inference(sat_conversion,[],[f6655]) ).
cnf(s344,plain,
( ~ spl16_66
| ~ spl16_204
| spl16_342 ),
inference(sat_conversion,[],[f7464]) ).
cnf(s345,plain,
( ~ spl16_342
| spl16_343 ),
inference(sat_conversion,[],[f7469]) ).
cnf(s346,plain,
( ~ spl16_61
| ~ spl16_343
| spl16_344 ),
inference(sat_conversion,[],[f7479]) ).
cnf(s347,plain,
( ~ spl16_344
| spl16_345 ),
inference(sat_conversion,[],[f7484]) ).
cnf(s348,plain,
( ~ spl16_345
| spl16_346 ),
inference(sat_conversion,[],[f7519]) ).
cnf(s349,plain,
( ~ spl16_60
| ~ spl16_62
| ~ spl16_346
| spl16_347 ),
inference(sat_conversion,[],[f7548]) ).
cnf(s350,plain,
( ~ spl16_347
| spl16_348 ),
inference(sat_conversion,[],[f7553]) ).
cnf(s440,plain,
( ~ spl16_61
| ~ spl16_62
| spl16_63
| ~ spl16_290
| ~ spl16_437 ),
inference(sat_conversion,[],[f10141]) ).
cnf(s602,plain,
( ~ spl16_23
| ~ spl16_25
| ~ spl16_62
| ~ spl16_348
| spl16_582 ),
inference(sat_conversion,[],[f14667]) ).
cnf(s603,plain,
( ~ spl16_32
| ~ spl16_40
| ~ spl16_62
| ~ spl16_582
| spl16_583 ),
inference(sat_conversion,[],[f14685]) ).
cnf(s1029,plain,
( ~ spl16_25
| ~ spl16_28
| ~ spl16_32
| ~ spl16_40
| spl16_1003 ),
inference(sat_conversion,[],[f34823]) ).
cnf(s1072,plain,
( ~ spl16_62
| ~ spl16_583
| ~ spl16_1003
| spl16_1046 ),
inference(sat_conversion,[],[f40010]) ).
cnf(s1076,plain,
( spl16_437
| ~ spl16_1046
| spl16_1050 ),
inference(sat_conversion,[],[f40420]) ).
cnf(s1225,plain,
( ~ spl16_22
| spl16_1198 ),
inference(sat_conversion,[],[f53911]) ).
cnf(s1234,plain,
( ~ spl16_24
| ~ spl16_344
| ~ spl16_1198
| spl16_1207 ),
inference(sat_conversion,[],[f54603]) ).
cnf(s1235,plain,
( ~ spl16_22
| ~ spl16_1207
| spl16_1208 ),
inference(sat_conversion,[],[f54722]) ).
cnf(s1236,plain,
( ~ spl16_1208
| spl16_1209 ),
inference(sat_conversion,[],[f54833]) ).
cnf(s1237,plain,
( ~ spl16_59
| ~ spl16_61
| ~ spl16_1209
| spl16_1210 ),
inference(sat_conversion,[],[f54900]) ).
cnf(s1238,plain,
( ~ spl16_1050
| ~ spl16_1210
| spl16_1211
| spl16_1212 ),
inference(sat_conversion,[],[f54912]) ).
cnf(s1241,plain,
( ~ spl16_23
| ~ spl16_25
| ~ spl16_61
| ~ spl16_1211 ),
inference(sat_conversion,[],[f54930]) ).
cnf(s1245,plain,
( ~ spl16_60
| ~ spl16_62
| ~ spl16_1209
| spl16_1216 ),
inference(sat_conversion,[],[f55006]) ).
cnf(s1246,plain,
( spl16_1211
| ~ spl16_1212
| ~ spl16_1216
| spl16_1217 ),
inference(sat_conversion,[],[f55011]) ).
cnf(s1247,plain,
( ~ spl16_24
| ~ spl16_1198
| ~ spl16_1217
| spl16_1218 ),
inference(sat_conversion,[],[f55019]) ).
cnf(s1250,plain,
( ~ spl16_23
| ~ spl16_25
| ~ spl16_62
| ~ spl16_1218 ),
inference(sat_conversion,[],[f55036]) ).
cnf(s1251,plain,
spl16_16,
inference(rat,[],[s16,s9]) ).
cnf(s1252,plain,
spl16_14,
inference(rat,[],[s14,s9]) ).
cnf(s1253,plain,
spl16_10,
inference(rat,[],[s10,s9]) ).
cnf(s1272,plain,
spl16_27,
inference(rat,[],[s27,s1252]) ).
cnf(s1276,plain,
spl16_96,
inference(rat,[],[s93,s1253]) ).
cnf(s1305,plain,
spl16_19,
inference(rat,[],[s19,s7]) ).
cnf(s1306,plain,
spl16_13,
inference(rat,[],[s13,s7]) ).
cnf(s1307,plain,
spl16_8,
inference(rat,[],[s8,s7]) ).
cnf(s1326,plain,
spl16_28,
inference(rat,[],[s28,s1306]) ).
cnf(s1366,plain,
spl16_20,
inference(rat,[],[s20,s6]) ).
cnf(s1367,plain,
spl16_18,
inference(rat,[],[s18,s6]) ).
cnf(s1381,plain,
spl16_29,
inference(rat,[],[s29,s1366,s1367]) ).
cnf(s1382,plain,
spl16_24,
inference(rat,[],[s24,s1366,s1367]) ).
cnf(s1383,plain,
spl16_22,
inference(rat,[],[s22,s1366,s1367]) ).
cnf(s1399,plain,
spl16_36,
inference(rat,[],[s36,s1381,s1367,s1382]) ).
cnf(s1401,plain,
spl16_30,
inference(rat,[],[s30,s1381,s1367,s1382]) ).
cnf(s1402,plain,
spl16_1198,
inference(rat,[],[s1225,s1383]) ).
cnf(s1425,plain,
spl16_15,
inference(rat,[],[s15,s5]) ).
cnf(s1426,plain,
spl16_12,
inference(rat,[],[s12,s5]) ).
cnf(s1427,plain,
spl16_11,
inference(rat,[],[s11,s5]) ).
cnf(s1446,plain,
spl16_26,
inference(rat,[],[s26,s1426]) ).
cnf(s1453,plain,
spl16_41,
inference(rat,[],[s41,s1427]) ).
cnf(s1487,plain,
spl16_164,
inference(rat,[],[s161,s1453]) ).
cnf(s1508,plain,
spl16_21,
inference(rat,[],[s21,s3]) ).
cnf(s1509,plain,
spl16_17,
inference(rat,[],[s17,s3]) ).
cnf(s1523,plain,
spl16_31,
inference(rat,[],[s31,s1508,s1509]) ).
cnf(s1524,plain,
spl16_25,
inference(rat,[],[s25,s1508,s1509]) ).
cnf(s1525,plain,
spl16_23,
inference(rat,[],[s23,s1508,s1509]) ).
cnf(s1541,plain,
spl16_40,
inference(rat,[],[s40,s1523,s1509,s1524]) ).
cnf(s1543,plain,
spl16_32,
inference(rat,[],[s32,s1523,s1509,s1524]) ).
cnf(s1546,plain,
spl16_290,
inference(rat,[],[s282,s1524,s1272,s1525]) ).
cnf(s1552,plain,
spl16_1003,
inference(rat,[],[s1029,s1541,s1524,s1326,s1543]) ).
cnf(s1560,plain,
spl16_4,
inference(rat,[],[s4,s2]) ).
cnf(s1561,plain,
spl16_107,
inference(rat,[],[s104,s1560]) ).
cnf(s1562,plain,
spl16_165,
inference(rat,[],[s162,s1487,s1425,s1561]) ).
cnf(s1565,plain,
spl16_166,
inference(rat,[],[s163,s1487,s1425,s1562]) ).
cnf(s1569,plain,
spl16_167,
inference(rat,[],[s164,s1565]) ).
cnf(s1573,plain,
spl16_168,
inference(rat,[],[s165,s1569]) ).
cnf(s1576,plain,
spl16_169,
inference(rat,[],[s166,s1573]) ).
cnf(s1583,plain,
spl16_171,
inference(rat,[],[s168,s1276,s1251,s1576]) ).
cnf(s1599,plain,
spl16_172,
inference(rat,[],[s169,s1253,s1583]) ).
cnf(s1617,plain,
spl16_175,
inference(rat,[],[s172,s1307,s1305,s1599]) ).
cnf(s1628,plain,
spl16_177,
inference(rat,[],[s174,s1383,s1382,s1305,s1617]) ).
cnf(s1643,plain,
spl16_181,
inference(rat,[],[s178,s1401,s1305,s1628]) ).
cnf(s1645,plain,
spl16_179,
inference(rat,[],[s176,s1399,s1305,s1628]) ).
cnf(s1717,plain,
spl16_56,
inference(rat,[],[s309,s56,s308,s1643,s1645]) ).
cnf(s1720,plain,
~ spl16_57,
inference(rat,[],[s55,s1,s1717]) ).
cnf(s1734,plain,
spl16_66,
inference(rat,[],[s64,s1720]) ).
cnf(s1735,plain,
~ spl16_63,
inference(rat,[],[s61,s1720]) ).
cnf(s1736,plain,
spl16_62,
inference(rat,[],[s60,s1720]) ).
cnf(s1737,plain,
spl16_61,
inference(rat,[],[s59,s1720]) ).
cnf(s1738,plain,
spl16_60,
inference(rat,[],[s58,s1720]) ).
cnf(s1739,plain,
spl16_59,
inference(rat,[],[s57,s1720]) ).
cnf(s1768,plain,
~ spl16_1218,
inference(rat,[],[s1250,s1525,s1524,s1736]) ).
cnf(s1777,plain,
~ spl16_437,
inference(rat,[],[s440,s1736,s1546,s1735,s1737]) ).
cnf(s1783,plain,
~ spl16_1211,
inference(rat,[],[s1241,s1525,s1524,s1737]) ).
cnf(s1794,plain,
spl16_64,
inference(rat,[],[s62,s1720,s1446,s1739]) ).
cnf(s1825,plain,
~ spl16_1217,
inference(rat,[],[s1247,s1402,s1382,s1768]) ).
cnf(s1841,plain,
spl16_69,
inference(rat,[],[s67,s1737,s1427,s1425,s1794]) ).
cnf(s1897,plain,
spl16_204,
inference(rat,[],[s199,s1737,s1562,s1841]) ).
cnf(s1927,plain,
spl16_342,
inference(rat,[],[s344,s1734,s1897]) ).
cnf(s1949,plain,
spl16_343,
inference(rat,[],[s345,s1927]) ).
cnf(s1959,plain,
spl16_344,
inference(rat,[],[s346,s1737,s1949]) ).
cnf(s1968,plain,
spl16_1207,
inference(rat,[],[s1234,s1402,s1382,s1959]) ).
cnf(s1969,plain,
spl16_345,
inference(rat,[],[s347,s1959]) ).
cnf(s1976,plain,
spl16_1208,
inference(rat,[],[s1235,s1383,s1968]) ).
cnf(s1977,plain,
spl16_346,
inference(rat,[],[s348,s1969]) ).
cnf(s1984,plain,
spl16_1209,
inference(rat,[],[s1236,s1976]) ).
cnf(s1986,plain,
spl16_347,
inference(rat,[],[s349,s1738,s1736,s1977]) ).
cnf(s1989,plain,
spl16_1216,
inference(rat,[],[s1245,s1738,s1736,s1984]) ).
cnf(s1990,plain,
spl16_1210,
inference(rat,[],[s1237,s1739,s1737,s1984]) ).
cnf(s1992,plain,
spl16_348,
inference(rat,[],[s350,s1986]) ).
cnf(s1996,plain,
~ spl16_1212,
inference(rat,[],[s1246,s1825,s1783,s1989]) ).
cnf(s1997,plain,
~ spl16_1050,
inference(rat,[],[s1238,s1996,s1783,s1990]) ).
cnf(s2001,plain,
spl16_582,
inference(rat,[],[s602,s1736,s1525,s1524,s1992]) ).
cnf(s2004,plain,
~ spl16_1046,
inference(rat,[],[s1076,s1777,s1997]) ).
cnf(s2006,plain,
spl16_583,
inference(rat,[],[s603,s1736,s1543,s1541,s2001]) ).
cnf(s2009,plain,
$false,
inference(rat,[],[s1072,s1736,s1552,s2004,s2006]) ).
fof(f55037,plain,
$false,
inference(avatar_sat_refutation,[],[s2009]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET741+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n020.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 28 02:41:20 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.79/2.83 % (3981281)Detected formulas, will run a generic FOF schedule.
% 13.79/2.83 % (3981288)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=3961544111:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.79/2.83 % (3981291)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1834231571:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.79/2.83 % (3981287)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=2451888405:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.79/2.83 % (3981290)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2287233717:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.79/2.83 % (3981289)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2824228408:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.79/2.83 % (3981292)dis-21_1_sil=8000:lcm=predicate:random_seed=56320070: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)
% 13.79/2.83 % (3981286)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=3131893969:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.79/2.83 % (3981292)Instruction limit reached!
% 13.79/2.83 % (3981292)------------------------------
% 13.79/2.83 % (3981292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/2.83 % (3981292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/2.83 % (3981292)CaDiCaL version: 2.1.3
% 13.79/2.83 % (3981292)Termination reason: Instruction limit
% 13.79/2.83 % (3981292)Termination phase: Saturation
% 13.79/2.83 % (3981292)Time elapsed: 0.058 s
% 13.79/2.83 % (3981292)Peak memory usage: 89 MB
% 13.79/2.83 % (3981292)Instructions burned: 130 (million)
% 13.79/2.83 % (3981289)Instruction limit reached!
% 13.79/2.83 % (3981289)------------------------------
% 13.79/2.83 % (3981289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/2.83 % (3981289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/2.83 % (3981289)CaDiCaL version: 2.1.3
% 13.79/2.83 % (3981289)Termination reason: Instruction limit
% 13.79/2.83 % (3981289)Termination phase: Saturation
% 13.79/2.83 % (3981289)Time elapsed: 0.062 s
% 13.79/2.83 % (3981289)Peak memory usage: 89 MB
% 13.79/2.83 % (3981289)Instructions burned: 111 (million)
% 13.79/2.83 % (3981290)Instruction limit reached!
% 13.79/2.83 % (3981290)------------------------------
% 13.79/2.83 % (3981290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/2.83 % (3981290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/2.83 % (3981290)CaDiCaL version: 2.1.3
% 13.79/2.83 % (3981290)Termination reason: Instruction limit
% 13.79/2.83 % (3981290)Termination phase: Saturation
% 13.79/2.83 % (3981290)Time elapsed: 0.072 s
% 13.79/2.83 % (3981290)Peak memory usage: 89 MB
% 13.79/2.83 % (3981290)Instructions burned: 120 (million)
% 13.79/2.83 % (3981291)Instruction limit reached!
% 13.79/2.83 % (3981291)------------------------------
% 13.79/2.83 % (3981291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/2.83 % (3981291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/2.83 % (3981291)CaDiCaL version: 2.1.3
% 13.79/2.83 % (3981291)Termination reason: Instruction limit
% 13.79/2.83 % (3981291)Termination phase: Saturation
% 13.79/2.83 % (3981291)Time elapsed: 0.101 s
% 13.79/2.83 % (3981291)Peak memory usage: 89 MB
% 13.79/2.83 % (3981291)Instructions burned: 140 (million)
% 13.79/2.83 % (3981303)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2875289630:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.79/2.83 % (3981302)lrs+10_1_sil=8000:sp=occurrence:random_seed=2847397171:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.79/2.83 % (3981303)Refutation not found, incomplete strategy
% 13.79/2.83 % (3981303)------------------------------
% 13.79/2.83 % (3981303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/2.83 % (3981303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/2.83 % (3981303)CaDiCaL version: 2.1.3
% 13.79/2.83 % (3981303)Termination reason: Refutation not found, incomplete strategy
% 20.02/3.72 % (3981303)Time elapsed: 0.003 s
% 20.02/3.72 % (3981303)Peak memory usage: 88 MB
% 20.02/3.72 % (3981303)Instructions burned: 2 (million)
% 20.02/3.72 % (3981304)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1705614431:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 20.02/3.72 % (3981305)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=1403872898:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 20.02/3.72 % (3981302)Instruction limit reached!
% 20.02/3.72 % (3981302)------------------------------
% 20.02/3.72 % (3981302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.72 % (3981302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.72 % (3981302)CaDiCaL version: 2.1.3
% 20.02/3.72 % (3981302)Termination reason: Instruction limit
% 20.02/3.72 % (3981302)Termination phase: Saturation
% 20.02/3.72 % (3981302)Time elapsed: 0.161 s
% 20.02/3.72 % (3981302)Peak memory usage: 93 MB
% 20.02/3.72 % (3981302)Instructions burned: 286 (million)
% 20.02/3.72 % (3981305)Instruction limit reached!
% 20.02/3.72 % (3981305)------------------------------
% 20.02/3.72 % (3981305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.72 % (3981305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.72 % (3981305)CaDiCaL version: 2.1.3
% 20.02/3.72 % (3981305)Termination reason: Instruction limit
% 20.02/3.72 % (3981305)Termination phase: Saturation
% 20.02/3.72 % (3981305)Time elapsed: 0.129 s
% 20.02/3.72 % (3981305)Peak memory usage: 93 MB
% 20.02/3.72 % (3981305)Instructions burned: 250 (million)
% 20.02/3.72 % (3981304)Instruction limit reached!
% 20.02/3.72 % (3981304)------------------------------
% 20.02/3.72 % (3981304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.72 % (3981304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.72 % (3981304)CaDiCaL version: 2.1.3
% 20.02/3.72 % (3981304)Termination reason: Instruction limit
% 20.02/3.72 % (3981304)Termination phase: Saturation
% 20.02/3.72 % (3981304)Time elapsed: 0.220 s
% 20.02/3.72 % (3981304)Peak memory usage: 93 MB
% 20.02/3.72 % (3981304)Instructions burned: 326 (million)
% 20.02/3.72 % (3981303)------------------------------
% 20.02/3.72 % (3981303)------------------------------
% 20.02/3.72 % (3981310)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4089319148:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 20.02/3.72 % (3981311)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2345562198:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 20.02/3.72 % (3981312)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=533145703:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 20.02/3.72 % (3981313)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2237182672:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 20.02/3.72 % (3981313)Instruction limit reached!
% 20.02/3.72 % (3981313)------------------------------
% 20.02/3.72 % (3981313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.72 % (3981313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.72 % (3981313)CaDiCaL version: 2.1.3
% 20.02/3.72 % (3981313)Termination reason: Instruction limit
% 20.02/3.72 % (3981313)Termination phase: Saturation
% 20.02/3.72 % (3981313)Time elapsed: 0.068 s
% 20.02/3.72 % (3981313)Peak memory usage: 89 MB
% 20.02/3.72 % (3981313)Instructions burned: 128 (million)
% 20.02/3.72 % (3981312)Instruction limit reached!
% 20.02/3.72 % (3981312)------------------------------
% 20.02/3.72 % (3981312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.72 % (3981312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.72 % (3981312)CaDiCaL version: 2.1.3
% 20.02/3.72 % (3981312)Termination reason: Instruction limit
% 20.02/3.72 % (3981312)Termination phase: Saturation
% 20.02/3.72 % (3981312)Time elapsed: 0.073 s
% 20.02/3.72 % (3981312)Peak memory usage: 90 MB
% 20.02/3.72 % (3981312)Instructions burned: 114 (million)
% 20.02/3.72 % (3981310)Instruction limit reached!
% 20.02/3.72 % (3981310)------------------------------
% 20.02/3.72 % (3981310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.72 % (3981310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.72 % (3981310)CaDiCaL version: 2.1.3
% 43.35/6.99 % (3981310)Termination reason: Instruction limit
% 43.35/6.99 % (3981310)Termination phase: Saturation
% 43.35/6.99 % (3981310)Time elapsed: 0.161 s
% 43.35/6.99 % (3981310)Peak memory usage: 89 MB
% 43.35/6.99 % (3981310)Instructions burned: 296 (million)
% 43.35/6.99 % (3981318)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3756634114:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 43.35/6.99 % (3981319)lrs+10_1_sil=8000:sp=occurrence:random_seed=1939445115:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 43.35/6.99 % (3981320)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1756103882:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 43.35/6.99 % (3981318)Instruction limit reached!
% 43.35/6.99 % (3981318)------------------------------
% 43.35/6.99 % (3981318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.35/6.99 % (3981318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.35/6.99 % (3981318)CaDiCaL version: 2.1.3
% 43.35/6.99 % (3981318)Termination reason: Instruction limit
% 43.35/6.99 % (3981318)Termination phase: Saturation
% 43.35/6.99 % (3981318)Time elapsed: 0.068 s
% 43.35/6.99 % (3981318)Peak memory usage: 89 MB
% 43.35/6.99 % (3981318)Instructions burned: 115 (million)
% 43.35/6.99 % (3981324)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2398630551:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 43.35/6.99 % (3981320)Instruction limit reached!
% 43.35/6.99 % (3981320)------------------------------
% 43.35/6.99 % (3981320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.35/6.99 % (3981320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.35/6.99 % (3981320)CaDiCaL version: 2.1.3
% 43.35/6.99 % (3981320)Termination reason: Instruction limit
% 43.35/6.99 % (3981320)Termination phase: Saturation
% 43.35/6.99 % (3981320)Time elapsed: 0.241 s
% 43.35/6.99 % (3981320)Peak memory usage: 91 MB
% 43.35/6.99 % (3981320)Instructions burned: 438 (million)
% 43.35/6.99 % (3981326)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=934003302:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 43.35/6.99 % (3981326)Refutation not found, incomplete strategy
% 43.35/6.99 % (3981326)------------------------------
% 43.35/6.99 % (3981326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.35/6.99 % (3981326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.35/6.99 % (3981326)CaDiCaL version: 2.1.3
% 43.35/6.99 % (3981326)Termination reason: Refutation not found, incomplete strategy
% 43.35/6.99 % (3981326)Time elapsed: 0.002 s
% 43.35/6.99 % (3981326)Peak memory usage: 89 MB
% 43.35/6.99 % (3981326)Instructions burned: 2 (million)
% 43.35/6.99 % (3981319)Instruction limit reached!
% 43.35/6.99 % (3981319)------------------------------
% 43.35/6.99 % (3981319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.35/6.99 % (3981319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.35/6.99 % (3981319)CaDiCaL version: 2.1.3
% 43.35/6.99 % (3981319)Termination reason: Instruction limit
% 43.35/6.99 % (3981319)Termination phase: Saturation
% 43.35/6.99 % (3981319)Time elapsed: 0.505 s
% 43.35/6.99 % (3981319)Peak memory usage: 102 MB
% 43.35/6.99 % (3981319)Instructions burned: 908 (million)
% 43.35/6.99 % (3981326)------------------------------
% 43.35/6.99 % (3981326)------------------------------
% 43.35/6.99 % (3981328)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2195814940:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 43.35/6.99 % (3981329)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1452743420:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 43.35/6.99 % (3981328)Instruction limit reached!
% 43.35/6.99 % (3981328)------------------------------
% 43.35/6.99 % (3981328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.35/6.99 % (3981328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.35/6.99 % (3981328)CaDiCaL version: 2.1.3
% 43.35/6.99 % (3981328)Termination reason: Instruction limit
% 43.35/6.99 % (3981328)Termination phase: Saturation
% 43.35/6.99 % (3981328)Time elapsed: 0.334 s
% 43.35/6.99 % (3981328)Peak memory usage: 97 MB
% 43.35/6.99 % (3981328)Instructions burned: 593 (million)
% 43.35/6.99 % (3981332)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=3519218272:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 38.72/7.17 % (3981332)Instruction limit reached!
% 38.72/7.17 % (3981332)------------------------------
% 38.72/7.17 % (3981332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.72/7.17 % (3981332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.72/7.17 % (3981332)CaDiCaL version: 2.1.3
% 38.72/7.17 % (3981332)Termination reason: Instruction limit
% 38.72/7.17 % (3981332)Termination phase: Saturation
% 38.72/7.17 % (3981332)Time elapsed: 0.081 s
% 38.72/7.17 % (3981332)Peak memory usage: 90 MB
% 38.72/7.17 % (3981332)Instructions burned: 126 (million)
% 38.72/7.17 % (3981311)Instruction limit reached!
% 38.72/7.17 % (3981311)------------------------------
% 38.72/7.17 % (3981311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.72/7.17 % (3981311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.72/7.17 % (3981311)CaDiCaL version: 2.1.3
% 38.72/7.17 % (3981311)Termination reason: Instruction limit
% 38.72/7.17 % (3981311)Termination phase: Saturation
% 38.72/7.17 % (3981311)Time elapsed: 1.512 s
% 38.72/7.17 % (3981311)Peak memory usage: 140 MB
% 38.72/7.17 % (3981311)Instructions burned: 2350 (million)
% 38.72/7.17 % (3981334)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=453291792:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 38.72/7.17 % (3981334)Instruction limit reached!
% 38.72/7.17 % (3981334)------------------------------
% 38.72/7.17 % (3981334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.72/7.17 % (3981334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.72/7.17 % (3981334)CaDiCaL version: 2.1.3
% 38.72/7.17 % (3981334)Termination reason: Instruction limit
% 38.72/7.17 % (3981334)Termination phase: Saturation
% 38.72/7.17 % (3981334)Time elapsed: 0.071 s
% 38.72/7.17 % (3981334)Peak memory usage: 89 MB
% 38.72/7.17 % (3981334)Instructions burned: 135 (million)
% 38.72/7.17 % (3981335)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2201398739:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 38.72/7.17 % (3981335)Instruction limit reached!
% 38.72/7.17 % (3981335)------------------------------
% 38.72/7.17 % (3981335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.72/7.17 % (3981335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.72/7.17 % (3981335)CaDiCaL version: 2.1.3
% 38.72/7.17 % (3981335)Termination reason: Instruction limit
% 38.72/7.17 % (3981335)Termination phase: Saturation
% 38.72/7.17 % (3981335)Time elapsed: 0.071 s
% 38.72/7.17 % (3981335)Peak memory usage: 92 MB
% 38.72/7.17 % (3981335)Instructions burned: 141 (million)
% 38.72/7.17 % (3981337)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1173171612:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 38.72/7.17 % (3981337)Refutation not found, incomplete strategy
% 38.72/7.17 % (3981337)------------------------------
% 38.72/7.17 % (3981337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.72/7.17 % (3981337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.72/7.17 % (3981337)CaDiCaL version: 2.1.3
% 38.72/7.17 % (3981337)Termination reason: Refutation not found, incomplete strategy
% 38.72/7.17 % (3981337)Time elapsed: 0.004 s
% 38.72/7.17 % (3981337)Peak memory usage: 88 MB
% 38.72/7.17 % (3981337)Instructions burned: 4 (million)
% 38.72/7.17 % (3981339)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=3598711692:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 38.72/7.17 % (3981337)------------------------------
% 38.72/7.17 % (3981337)------------------------------
% 38.72/7.17 % (3981342)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=1868024076:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 38.72/7.17 % (3981342)Instruction limit reached!
% 38.72/7.17 % (3981342)------------------------------
% 38.72/7.17 % (3981342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.72/7.17 % (3981342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.72/7.17 % (3981342)CaDiCaL version: 2.1.3
% 38.72/7.17 % (3981342)Termination reason: Instruction limit
% 38.72/7.17 % (3981342)Termination phase: Saturation
% 38.72/7.17 % (3981342)Time elapsed: 0.090 s
% 38.72/7.17 % (3981342)Peak memory usage: 90 MB
% 38.72/7.17 % (3981342)Instructions burned: 152 (million)
% 38.72/7.17 % (3981344)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2125153875:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 38.72/7.17 % (3981324)Instruction limit reached!
% 38.72/7.17 % (3981324)------------------------------
% 38.72/7.17 % (3981324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.72/7.17 % (3981324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.72/7.17 % (3981324)CaDiCaL version: 2.1.3
% 38.72/7.17 % (3981324)Termination reason: Instruction limit
% 38.72/7.17 % (3981324)Termination phase: Saturation
% 38.72/7.17 % (3981324)Time elapsed: 2.980 s
% 38.72/7.17 % (3981324)Peak memory usage: 163 MB
% 38.72/7.17 % (3981324)Instructions burned: 5206 (million)
% 38.72/7.17 % (3981346)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=920444032:i=667:av=off:fsr=off_2959 on theBenchmark for (2959ds/667Mi)
% 38.72/7.17 % (3981346)Instruction limit reached!
% 38.72/7.17 % (3981346)------------------------------
% 38.72/7.17 % (3981346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.72/7.17 % (3981346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.72/7.17 % (3981346)CaDiCaL version: 2.1.3
% 38.72/7.17 % (3981346)Termination reason: Instruction limit
% 38.72/7.17 % (3981346)Termination phase: Saturation
% 38.72/7.17 % (3981346)Time elapsed: 0.371 s
% 38.72/7.17 % (3981346)Peak memory usage: 92 MB
% 38.72/7.17 % (3981346)Instructions burned: 667 (million)
% 38.72/7.17 % (3981348)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=3987226829:s2a=on:i=185:s2at=1.8:fdi=4_2954 on theBenchmark for (2954ds/185Mi)
% 38.72/7.17 % (3981348)Instruction limit reached!
% 38.72/7.17 % (3981348)------------------------------
% 38.72/7.17 % (3981348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.72/7.17 % (3981348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.72/7.17 % (3981348)CaDiCaL version: 2.1.3
% 38.72/7.17 % (3981348)Termination reason: Instruction limit
% 38.72/7.17 % (3981348)Termination phase: Saturation
% 38.72/7.17 % (3981348)Time elapsed: 0.104 s
% 38.72/7.17 % (3981348)Peak memory usage: 92 MB
% 38.72/7.17 % (3981348)Instructions burned: 186 (million)
% 38.72/7.17 % (3981350)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2450102380:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 38.72/7.17 % (3981350)Instruction limit reached!
% 38.72/7.17 % (3981350)------------------------------
% 38.72/7.17 % (3981350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.72/7.17 % (3981350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.72/7.17 % (3981350)CaDiCaL version: 2.1.3
% 38.72/7.17 % (3981350)Termination reason: Instruction limit
% 38.72/7.17 % (3981350)Termination phase: Saturation
% 38.72/7.17 % (3981350)Time elapsed: 0.097 s
% 38.72/7.17 % (3981350)Peak memory usage: 90 MB
% 38.72/7.17 % (3981350)Instructions burned: 193 (million)
% 38.72/7.17 % (3981352)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2550796580:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2949 on theBenchmark for (2949ds/4850Mi)
% 38.72/7.17 % (3981339)Instruction limit reached!
% 38.72/7.17 % (3981339)------------------------------
% 38.72/7.17 % (3981339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.72/7.17 % (3981339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.72/7.17 % (3981339)CaDiCaL version: 2.1.3
% 38.72/7.17 % (3981339)Termination reason: Instruction limit
% 38.72/7.17 % (3981339)Termination phase: Saturation
% 38.72/7.17 % (3981339)Time elapsed: 3.524 s
% 38.72/7.17 % (3981339)Peak memory usage: 153 MB
% 38.72/7.17 % (3981339)Instructions burned: 6062 (million)
% 38.72/7.17 % (3981288)First to succeed.
% 38.72/7.17 % (3981288)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3981281"
% 38.72/7.17 % (3981354)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2921950480:i=12111:sd=1:ss=included_2939 on theBenchmark for (2939ds/12111Mi)
% 38.72/7.17 % (3981288)Refutation found. Thanks to Tanya!
% 38.72/7.17 % SZS status Theorem for theBenchmark
% 38.72/7.17 % SZS output start Proof for theBenchmark
% See solution above
% 45.43/7.36 % (3981288)------------------------------
% 45.43/7.36 % (3981288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.43/7.36 % (3981288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.43/7.37 % (3981288)CaDiCaL version: 2.1.3
% 45.43/7.37 % (3981288)Termination reason: Refutation
% 45.43/7.37 % (3981288)Time elapsed: 6.034 s
% 45.43/7.37 % (3981288)Peak memory usage: 231 MB
% 45.43/7.37 % (3981288)Instructions burned: 17195 (million)
% 45.43/7.37 % (3981288)------------------------------
% 45.43/7.37 % (3981288)------------------------------
% 45.43/7.37 % (3981281)Success in time 6.338 s
% 45.43/7.37 % Vampire exiting
%------------------------------------------------------------------------------