%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET737+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 9.75s 2.27s
% Output : Refutation 10.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 42
% Syntax : Number of formulae : 280 ( 46 unt; 36 def)
% Number of atoms : 1088 ( 61 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1443 ( 635 ~; 645 |; 99 &)
% ( 47 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 44 ( 42 usr; 35 prp; 0-5 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-5 aty)
% Number of variables : 503 ( 0 sgn 469 !; 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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)
& injective(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(X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII28) ).
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)
& injective(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(X1,X4,X5) ),
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(X1,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)
& injective(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(X1,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)
& injective(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(sK1,sK4,sK5)
& 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)
& injective(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,
injective(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK4),
inference(cnf_transformation,[],[f45]) ).
fof(f59,plain,
maps(sK2,sK5,sK3),
inference(cnf_transformation,[],[f45]) ).
fof(f61,plain,
maps(sK0,sK3,sK4),
inference(cnf_transformation,[],[f45]) ).
fof(f62,plain,
~ one_to_one(sK1,sK4,sK5),
inference(cnf_transformation,[],[f45]) ).
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(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(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(sK1,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f91,plain,
( ~ one_to_one(sK1,sK4,sK5)
| spl16_1 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
~ spl16_1,
inference(avatar_split_clause,[],[f62,f89]) ).
fof(f93,plain,
( ~ injective(sK1,sK4,sK5)
| ~ surjective(sK1,sK4,sK5)
| spl16_1 ),
inference(resolution,[],[f91,f66]) ).
fof(f95,definition,
( spl16_2
<=> surjective(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK5) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f97,plain,
( surjective(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,sK5)
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
spl16_2,
inference(avatar_split_clause,[],[f56,f95]) ).
fof(f100,definition,
( spl16_3
<=> injective(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK4) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f102,plain,
( injective(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,sK4)
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
spl16_3,
inference(avatar_split_clause,[],[f57,f100]) ).
fof(f105,plain,
( ! [X0] :
( ~ member(X0,sK4)
| sP14(sK4,compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),X0) )
| ~ spl16_3 ),
inference(resolution,[],[f102,f84]) ).
fof(f107,definition,
( spl16_4
<=> ! [X0] :
( ~ member(X0,sK4)
| sP14(sK4,compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).
fof(f108,plain,
( ! [X0] :
( sP14(sK4,compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),X0)
| ~ member(X0,sK4) )
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f109,plain,
( spl16_4
| ~ spl16_3 ),
inference(avatar_split_clause,[],[f105,f100,f107]) ).
fof(f110,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_2 ),
inference(resolution,[],[f97,f78]) ).
fof(f111,plain,
( ! [X0] :
( member(sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK5)
| ~ member(X0,sK5) )
| ~ spl16_2 ),
inference(resolution,[],[f97,f79]) ).
fof(f137,definition,
( spl16_8
<=> maps(sK0,sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).
fof(f139,plain,
( maps(sK0,sK3,sK4)
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f140,plain,
spl16_8,
inference(avatar_split_clause,[],[f61,f137]) ).
fof(f141,plain,
( ! [X0] :
( apply(sK0,X0,sK6(sK0,sK4,X0))
| ~ member(X0,sK3) )
| ~ spl16_8 ),
inference(resolution,[],[f139,f64]) ).
fof(f142,plain,
( ! [X0] :
( member(sK6(sK0,sK4,X0),sK4)
| ~ member(X0,sK3) )
| ~ spl16_8 ),
inference(resolution,[],[f139,f65]) ).
fof(f145,definition,
( spl16_9
<=> ! [X0] :
( apply(sK0,X0,sK6(sK0,sK4,X0))
| ~ member(X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_9])],[avatar_definition]) ).
fof(f146,plain,
( ! [X0] :
( apply(sK0,X0,sK6(sK0,sK4,X0))
| ~ member(X0,sK3) )
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f147,plain,
( spl16_9
| ~ spl16_8 ),
inference(avatar_split_clause,[],[f141,f137,f145]) ).
fof(f152,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK3)
| ~ member(X0,X1)
| ~ apply(X2,X3,X0)
| sP15(X3,sK6(sK0,sK4,X0),sK0,X1,X2) )
| ~ spl16_9 ),
inference(resolution,[],[f146,f86]) ).
fof(f159,definition,
( spl16_11
<=> maps(sK2,sK5,sK3) ),
introduced(definition,[new_symbols(definition,[spl16_11])],[avatar_definition]) ).
fof(f161,plain,
( maps(sK2,sK5,sK3)
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
spl16_11,
inference(avatar_split_clause,[],[f59,f159]) ).
fof(f163,plain,
( ! [X0] :
( apply(sK2,X0,sK6(sK2,sK3,X0))
| ~ member(X0,sK5) )
| ~ spl16_11 ),
inference(resolution,[],[f161,f64]) ).
fof(f164,plain,
( ! [X0] :
( member(sK6(sK2,sK3,X0),sK3)
| ~ member(X0,sK5) )
| ~ spl16_11 ),
inference(resolution,[],[f161,f65]) ).
fof(f167,definition,
( spl16_12
<=> ! [X0] :
( apply(sK2,X0,sK6(sK2,sK3,X0))
| ~ member(X0,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_12])],[avatar_definition]) ).
fof(f168,plain,
( ! [X0] :
( apply(sK2,X0,sK6(sK2,sK3,X0))
| ~ member(X0,sK5) )
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f169,plain,
( spl16_12
| ~ spl16_11 ),
inference(avatar_split_clause,[],[f163,f159,f167]) ).
fof(f174,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_12 ),
inference(resolution,[],[f168,f86]) ).
fof(f182,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK4)
| X1 = X2
| ~ apply(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),X1,X0)
| ~ apply(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),X2,X0)
| ~ member(X1,sK4)
| ~ member(X2,sK4) )
| ~ spl16_4 ),
inference(resolution,[],[f108,f85]) ).
fof(f198,definition,
( spl16_17
<=> ! [X0] :
( member(sK6(sK0,sK4,X0),sK4)
| ~ member(X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl16_17])],[avatar_definition]) ).
fof(f199,plain,
( ! [X0] :
( member(sK6(sK0,sK4,X0),sK4)
| ~ member(X0,sK3) )
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f200,plain,
( spl16_17
| ~ spl16_8 ),
inference(avatar_split_clause,[],[f142,f137,f198]) ).
fof(f202,definition,
( spl16_18
<=> ! [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_18])],[avatar_definition]) ).
fof(f203,plain,
( ! [X0] :
( member(sK12(compose_function(sK1,compose_function(sK0,sK2,sK5,sK3,sK4),sK5,sK4,sK5),sK5,X0),sK5)
| ~ member(X0,sK5) )
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f204,plain,
( spl16_18
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f111,f95,f202]) ).
fof(f227,definition,
( spl16_19
<=> ! [X0] :
( member(sK6(sK2,sK3,X0),sK3)
| ~ member(X0,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_19])],[avatar_definition]) ).
fof(f228,plain,
( ! [X0] :
( member(sK6(sK2,sK3,X0),sK3)
| ~ member(X0,sK5) )
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f229,plain,
( spl16_19
| ~ spl16_11 ),
inference(avatar_split_clause,[],[f164,f159,f227]) ).
fof(f232,definition,
( spl16_20
<=> ! [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_20])],[avatar_definition]) ).
fof(f233,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_20 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( spl16_20
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f110,f95,f232]) ).
fof(f235,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_20 ),
inference(resolution,[],[f233,f74]) ).
fof(f237,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_20 ),
inference(resolution,[],[f233,f76]) ).
fof(f245,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_20 ),
inference(duplicate_literal_removal,[],[f237]) ).
fof(f247,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_20 ),
inference(duplicate_literal_removal,[],[f235]) ).
fof(f248,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_18
| ~ spl16_20 ),
inference(forward_subsumption_resolution,[],[f245,f203]) ).
fof(f250,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_18
| ~ spl16_20 ),
inference(forward_subsumption_resolution,[],[f247,f203]) ).
fof(f312,definition,
( spl16_21
<=> ! [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_21])],[avatar_definition]) ).
fof(f313,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_21 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f314,plain,
( spl16_21
| ~ spl16_18
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f250,f232,f202,f312]) ).
fof(f321,plain,
( ! [X0,X1] :
( ~ member(sK11(sK1,X0,X1),sK5)
| surjective(sK1,X0,X1)
| ~ 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,sK11(sK1,X0,X1)),sK11(sK1,X0,X1)),X0) )
| ~ spl16_21 ),
inference(resolution,[],[f313,f81]) ).
fof(f323,definition,
( spl16_22
<=> ! [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_22])],[avatar_definition]) ).
fof(f324,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_22 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f325,plain,
( spl16_22
| ~ spl16_18
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f248,f232,f202,f323]) ).
fof(f773,definition,
( spl16_53
<=> ! [X0,X3,X2,X1] :
( ~ member(X0,sK3)
| ~ member(X0,X1)
| ~ apply(X2,X3,X0)
| sP15(X3,sK6(sK0,sK4,X0),sK0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl16_53])],[avatar_definition]) ).
fof(f774,plain,
( ! [X2,X3,X0,X1] :
( sP15(X3,sK6(sK0,sK4,X0),sK0,X1,X2)
| ~ member(X0,X1)
| ~ apply(X2,X3,X0)
| ~ member(X0,sK3) )
| ~ spl16_53 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f775,plain,
( spl16_53
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f152,f145,f773]) ).
fof(f776,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ member(X0,X1)
| ~ apply(X2,X3,X0)
| ~ member(X0,sK3)
| apply(compose_function(sK0,X2,X4,X1,X5),X3,sK6(sK0,sK4,X0))
| ~ member(X3,X4)
| ~ member(sK6(sK0,sK4,X0),X5) )
| ~ spl16_53 ),
inference(resolution,[],[f774,f87]) ).
fof(f780,definition,
( spl16_54
<=> ! [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_54])],[avatar_definition]) ).
fof(f781,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_54 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f782,plain,
( spl16_54
| ~ spl16_12 ),
inference(avatar_split_clause,[],[f174,f167,f780]) ).
fof(f889,definition,
( spl16_67
<=> surjective(sK1,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl16_67])],[avatar_definition]) ).
fof(f891,plain,
( ~ surjective(sK1,sK4,sK5)
| spl16_67 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f893,definition,
( spl16_68
<=> injective(sK1,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl16_68])],[avatar_definition]) ).
fof(f895,plain,
( ~ injective(sK1,sK4,sK5)
| spl16_68 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f896,plain,
( ~ spl16_67
| ~ spl16_68
| spl16_1 ),
inference(avatar_split_clause,[],[f93,f89,f893,f889]) ).
fof(f906,plain,
( member(sK9(sK1,sK4,sK5),sK5)
| spl16_68 ),
inference(resolution,[],[f895,f68]) ).
fof(f907,plain,
( member(sK8(sK1,sK4,sK5),sK4)
| spl16_68 ),
inference(resolution,[],[f895,f69]) ).
fof(f909,plain,
( apply(sK1,sK8(sK1,sK4,sK5),sK9(sK1,sK4,sK5))
| spl16_68 ),
inference(resolution,[],[f895,f71]) ).
fof(f911,plain,
( sK8(sK1,sK4,sK5) != sK7(sK1,sK4,sK5)
| spl16_68 ),
inference(resolution,[],[f895,f73]) ).
fof(f913,definition,
( spl16_70
<=> apply(sK1,sK8(sK1,sK4,sK5),sK9(sK1,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl16_70])],[avatar_definition]) ).
fof(f915,plain,
( apply(sK1,sK8(sK1,sK4,sK5),sK9(sK1,sK4,sK5))
| ~ spl16_70 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f916,plain,
( spl16_70
| spl16_68 ),
inference(avatar_split_clause,[],[f909,f893,f913]) ).
fof(f941,definition,
( spl16_72
<=> member(sK8(sK1,sK4,sK5),sK4) ),
introduced(definition,[new_symbols(definition,[spl16_72])],[avatar_definition]) ).
fof(f943,plain,
( member(sK8(sK1,sK4,sK5),sK4)
| ~ spl16_72 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f944,plain,
( spl16_72
| spl16_68 ),
inference(avatar_split_clause,[],[f907,f893,f941]) ).
fof(f991,definition,
( spl16_74
<=> sK8(sK1,sK4,sK5) = sK7(sK1,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl16_74])],[avatar_definition]) ).
fof(f993,plain,
( sK8(sK1,sK4,sK5) != sK7(sK1,sK4,sK5)
| spl16_74 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f994,plain,
( ~ spl16_74
| spl16_68 ),
inference(avatar_split_clause,[],[f911,f893,f991]) ).
fof(f1032,definition,
( spl16_78
<=> member(sK9(sK1,sK4,sK5),sK5) ),
introduced(definition,[new_symbols(definition,[spl16_78])],[avatar_definition]) ).
fof(f1034,plain,
( member(sK9(sK1,sK4,sK5),sK5)
| ~ spl16_78 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1035,plain,
( spl16_78
| spl16_68 ),
inference(avatar_split_clause,[],[f906,f893,f1032]) ).
fof(f1145,definition,
( spl16_85
<=> ! [X0] :
( surjective(sK1,sK4,X0)
| ~ member(sK11(sK1,sK4,X0),sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_85])],[avatar_definition]) ).
fof(f1146,plain,
( ! [X0] :
( ~ member(sK11(sK1,sK4,X0),sK5)
| surjective(sK1,sK4,X0) )
| ~ spl16_85 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f1148,plain,
( surjective(sK1,sK4,sK5)
| surjective(sK1,sK4,sK5)
| ~ spl16_85 ),
inference(resolution,[],[f1146,f80]) ).
fof(f1149,plain,
( surjective(sK1,sK4,sK5)
| ~ spl16_85 ),
inference(duplicate_literal_removal,[],[f1148]) ).
fof(f1456,definition,
( spl16_99
<=> ! [X0,X1] :
( ~ member(sK11(sK1,X0,X1),sK5)
| surjective(sK1,X0,X1)
| ~ 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,sK11(sK1,X0,X1)),sK11(sK1,X0,X1)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_99])],[avatar_definition]) ).
fof(f1457,plain,
( ! [X0,X1] :
( ~ 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,sK11(sK1,X0,X1)),sK11(sK1,X0,X1)),X0)
| surjective(sK1,X0,X1)
| ~ member(sK11(sK1,X0,X1),sK5) )
| ~ spl16_99 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1458,plain,
( spl16_99
| ~ spl16_21 ),
inference(avatar_split_clause,[],[f321,f312,f1456]) ).
fof(f1460,plain,
( ! [X0] :
( surjective(sK1,sK4,X0)
| ~ member(sK11(sK1,sK4,X0),sK5)
| ~ member(sK11(sK1,sK4,X0),sK5) )
| ~ spl16_22
| ~ spl16_99 ),
inference(resolution,[],[f1457,f324]) ).
fof(f1461,plain,
( ! [X0] :
( surjective(sK1,sK4,X0)
| ~ member(sK11(sK1,sK4,X0),sK5) )
| ~ spl16_22
| ~ spl16_99 ),
inference(duplicate_literal_removal,[],[f1460]) ).
fof(f1867,definition,
( spl16_120
<=> ! [X2,X0,X1] :
( ~ member(X0,sK4)
| X1 = X2
| ~ apply(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),X1,X0)
| ~ apply(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),X2,X0)
| ~ member(X1,sK4)
| ~ member(X2,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl16_120])],[avatar_definition]) ).
fof(f1868,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),X2,X0)
| X1 = X2
| ~ apply(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),X1,X0)
| ~ member(X0,sK4)
| ~ member(X1,sK4)
| ~ member(X2,sK4) )
| ~ spl16_120 ),
inference(avatar_component_clause,[],[f1867]) ).
fof(f1869,plain,
( spl16_120
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f182,f107,f1867]) ).
fof(f4884,plain,
( $false
| spl16_67
| ~ spl16_85 ),
inference(forward_subsumption_resolution,[],[f1149,f891]) ).
fof(f4885,plain,
( spl16_67
| ~ spl16_85 ),
inference(avatar_contradiction_clause,[],[f4884]) ).
fof(f4893,plain,
( spl16_85
| ~ spl16_22
| ~ spl16_99 ),
inference(avatar_split_clause,[],[f1461,f1456,f323,f1145]) ).
fof(f6928,definition,
( spl16_326
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ member(X0,X1)
| ~ apply(X2,X3,X0)
| ~ member(X0,sK3)
| apply(compose_function(sK0,X2,X4,X1,X5),X3,sK6(sK0,sK4,X0))
| ~ member(X3,X4)
| ~ member(sK6(sK0,sK4,X0),X5) ) ),
introduced(definition,[new_symbols(definition,[spl16_326])],[avatar_definition]) ).
fof(f6929,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply(compose_function(sK0,X2,X4,X1,X5),X3,sK6(sK0,sK4,X0))
| ~ apply(X2,X3,X0)
| ~ member(X0,sK3)
| ~ member(X0,X1)
| ~ member(X3,X4)
| ~ member(sK6(sK0,sK4,X0),X5) )
| ~ spl16_326 ),
inference(avatar_component_clause,[],[f6928]) ).
fof(f6930,plain,
( spl16_326
| ~ spl16_53 ),
inference(avatar_split_clause,[],[f776,f773,f6928]) ).
fof(f6932,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X0,X1)
| ~ member(X1,sK3)
| ~ member(X1,sK3)
| ~ member(X0,sK4)
| ~ member(sK6(sK0,sK4,X1),sK4)
| X0 = X2
| ~ apply(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),X2,sK6(sK0,sK4,X1))
| ~ member(sK6(sK0,sK4,X1),sK4)
| ~ member(X2,sK4)
| ~ member(X0,sK4) )
| ~ spl16_120
| ~ spl16_326 ),
inference(resolution,[],[f6929,f1868]) ).
fof(f6976,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X0,X1)
| ~ member(X1,sK3)
| ~ member(X0,sK4)
| ~ member(sK6(sK0,sK4,X1),sK4)
| X0 = X2
| ~ apply(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),X2,sK6(sK0,sK4,X1))
| ~ member(X2,sK4) )
| ~ spl16_120
| ~ spl16_326 ),
inference(duplicate_literal_removal,[],[f6932]) ).
fof(f6984,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X0,X1)
| ~ member(X1,sK3)
| ~ member(X0,sK4)
| X0 = X2
| ~ apply(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),X2,sK6(sK0,sK4,X1))
| ~ member(X2,sK4) )
| ~ spl16_17
| ~ spl16_120
| ~ spl16_326 ),
inference(forward_subsumption_resolution,[],[f6976,f199]) ).
fof(f7005,definition,
( spl16_328
<=> ! [X2,X0,X1] :
( ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X0,X1)
| ~ member(X1,sK3)
| ~ member(X0,sK4)
| X0 = X2
| ~ apply(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),X2,sK6(sK0,sK4,X1))
| ~ member(X2,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl16_328])],[avatar_definition]) ).
fof(f7006,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),X2,sK6(sK0,sK4,X1))
| ~ member(X1,sK3)
| ~ member(X0,sK4)
| X0 = X2
| ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X0,X1)
| ~ member(X2,sK4) )
| ~ spl16_328 ),
inference(avatar_component_clause,[],[f7005]) ).
fof(f7007,plain,
( spl16_328
| ~ spl16_17
| ~ spl16_120
| ~ spl16_326 ),
inference(avatar_split_clause,[],[f6984,f6928,f1867,f198,f7005]) ).
fof(f7008,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK4)
| X1 = X2
| ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X1,X0)
| ~ member(X2,sK4)
| ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X2,X0)
| ~ member(X0,sK3)
| ~ member(X0,sK3)
| ~ member(X2,sK4)
| ~ member(sK6(sK0,sK4,X0),sK4) )
| ~ spl16_326
| ~ spl16_328 ),
inference(resolution,[],[f7006,f6929]) ).
fof(f7022,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK4)
| X1 = X2
| ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X1,X0)
| ~ member(X2,sK4)
| ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X2,X0)
| ~ member(sK6(sK0,sK4,X0),sK4) )
| ~ spl16_326
| ~ spl16_328 ),
inference(duplicate_literal_removal,[],[f7008]) ).
fof(f7024,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK4)
| X1 = X2
| ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X1,X0)
| ~ member(X2,sK4)
| ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X2,X0) )
| ~ spl16_17
| ~ spl16_326
| ~ spl16_328 ),
inference(forward_subsumption_resolution,[],[f7022,f199]) ).
fof(f7027,definition,
( spl16_329
<=> ! [X2,X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK4)
| X1 = X2
| ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X1,X0)
| ~ member(X2,sK4)
| ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_329])],[avatar_definition]) ).
fof(f7028,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X2,X0)
| ~ member(X1,sK4)
| X1 = X2
| ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X1,X0)
| ~ member(X2,sK4)
| ~ member(X0,sK3) )
| ~ spl16_329 ),
inference(avatar_component_clause,[],[f7027]) ).
fof(f7029,plain,
( spl16_329
| ~ spl16_17
| ~ spl16_326
| ~ spl16_328 ),
inference(avatar_split_clause,[],[f7024,f7005,f6928,f198,f7027]) ).
fof(f7030,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK4)
| X0 = X1
| ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X0,X2)
| ~ member(X1,sK4)
| ~ member(X2,sK3)
| ~ member(X1,sK4)
| ~ member(X2,sK3)
| ~ sP15(X1,X2,sK2,sK5,sK1) )
| ~ spl16_329 ),
inference(resolution,[],[f7028,f87]) ).
fof(f7052,plain,
( ! [X2,X0,X1] :
( ~ member(X0,sK4)
| X0 = X1
| ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X0,X2)
| ~ member(X1,sK4)
| ~ member(X2,sK3)
| ~ sP15(X1,X2,sK2,sK5,sK1) )
| ~ spl16_329 ),
inference(duplicate_literal_removal,[],[f7030]) ).
fof(f7060,definition,
( spl16_330
<=> ! [X2,X0,X1] :
( ~ member(X0,sK4)
| X0 = X1
| ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X0,X2)
| ~ member(X1,sK4)
| ~ member(X2,sK3)
| ~ sP15(X1,X2,sK2,sK5,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl16_330])],[avatar_definition]) ).
fof(f7061,plain,
( ! [X2,X0,X1] :
( ~ apply(compose_function(sK2,sK1,sK4,sK5,sK3),X0,X2)
| X0 = X1
| ~ member(X0,sK4)
| ~ member(X1,sK4)
| ~ member(X2,sK3)
| ~ sP15(X1,X2,sK2,sK5,sK1) )
| ~ spl16_330 ),
inference(avatar_component_clause,[],[f7060]) ).
fof(f7062,plain,
( spl16_330
| ~ spl16_329 ),
inference(avatar_split_clause,[],[f7052,f7027,f7060]) ).
fof(f7063,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ member(X0,sK4)
| ~ member(X1,sK4)
| ~ member(X2,sK3)
| ~ sP15(X1,X2,sK2,sK5,sK1)
| ~ member(X0,sK4)
| ~ member(X2,sK3)
| ~ sP15(X0,X2,sK2,sK5,sK1) )
| ~ spl16_330 ),
inference(resolution,[],[f7061,f87]) ).
fof(f7085,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ member(X0,sK4)
| ~ member(X1,sK4)
| ~ member(X2,sK3)
| ~ sP15(X1,X2,sK2,sK5,sK1)
| ~ sP15(X0,X2,sK2,sK5,sK1) )
| ~ spl16_330 ),
inference(duplicate_literal_removal,[],[f7063]) ).
fof(f7093,definition,
( spl16_331
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ member(X0,sK4)
| ~ member(X1,sK4)
| ~ member(X2,sK3)
| ~ sP15(X1,X2,sK2,sK5,sK1)
| ~ sP15(X0,X2,sK2,sK5,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl16_331])],[avatar_definition]) ).
fof(f7094,plain,
( ! [X2,X0,X1] :
( ~ sP15(X1,X2,sK2,sK5,sK1)
| ~ member(X0,sK4)
| ~ member(X1,sK4)
| ~ member(X2,sK3)
| X0 = X1
| ~ sP15(X0,X2,sK2,sK5,sK1) )
| ~ spl16_331 ),
inference(avatar_component_clause,[],[f7093]) ).
fof(f7095,plain,
( spl16_331
| ~ spl16_330 ),
inference(avatar_split_clause,[],[f7085,f7060,f7093]) ).
fof(f7096,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK4)
| ~ member(X1,sK4)
| ~ member(X2,sK3)
| X0 = X1
| ~ sP15(X0,X2,sK2,sK5,sK1)
| ~ member(X3,sK5)
| ~ apply(sK1,X1,X3)
| ~ apply(sK2,X3,X2) )
| ~ spl16_331 ),
inference(resolution,[],[f7094,f86]) ).
fof(f7109,definition,
( spl16_332
<=> ! [X0,X3,X2,X1] :
( ~ member(X0,sK4)
| ~ member(X1,sK4)
| ~ member(X2,sK3)
| X0 = X1
| ~ sP15(X0,X2,sK2,sK5,sK1)
| ~ member(X3,sK5)
| ~ apply(sK1,X1,X3)
| ~ apply(sK2,X3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl16_332])],[avatar_definition]) ).
fof(f7110,plain,
( ! [X2,X3,X0,X1] :
( ~ sP15(X0,X2,sK2,sK5,sK1)
| ~ member(X1,sK4)
| ~ member(X2,sK3)
| X0 = X1
| ~ member(X0,sK4)
| ~ member(X3,sK5)
| ~ apply(sK1,X1,X3)
| ~ apply(sK2,X3,X2) )
| ~ spl16_332 ),
inference(avatar_component_clause,[],[f7109]) ).
fof(f7111,plain,
( spl16_332
| ~ spl16_331 ),
inference(avatar_split_clause,[],[f7096,f7093,f7109]) ).
fof(f7115,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK4)
| ~ member(sK6(sK2,sK3,X1),sK3)
| X0 = X2
| ~ member(X2,sK4)
| ~ member(X3,sK5)
| ~ apply(sK1,X0,X3)
| ~ apply(sK2,X3,sK6(sK2,sK3,X1))
| ~ member(X1,sK5)
| ~ apply(sK1,X2,X1)
| ~ member(X1,sK5) )
| ~ spl16_54
| ~ spl16_332 ),
inference(resolution,[],[f7110,f781]) ).
fof(f7118,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK4)
| ~ member(sK6(sK2,sK3,X1),sK3)
| X0 = X2
| ~ member(X2,sK4)
| ~ member(X3,sK5)
| ~ apply(sK1,X0,X3)
| ~ apply(sK2,X3,sK6(sK2,sK3,X1))
| ~ member(X1,sK5)
| ~ apply(sK1,X2,X1) )
| ~ spl16_54
| ~ spl16_332 ),
inference(duplicate_literal_removal,[],[f7115]) ).
fof(f7121,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK4)
| X0 = X2
| ~ member(X2,sK4)
| ~ member(X3,sK5)
| ~ apply(sK1,X0,X3)
| ~ apply(sK2,X3,sK6(sK2,sK3,X1))
| ~ member(X1,sK5)
| ~ apply(sK1,X2,X1) )
| ~ spl16_19
| ~ spl16_54
| ~ spl16_332 ),
inference(forward_subsumption_resolution,[],[f7118,f228]) ).
fof(f7172,definition,
( spl16_334
<=> ! [X0,X3,X2,X1] :
( ~ member(X0,sK4)
| X0 = X2
| ~ member(X2,sK4)
| ~ member(X3,sK5)
| ~ apply(sK1,X0,X3)
| ~ apply(sK2,X3,sK6(sK2,sK3,X1))
| ~ member(X1,sK5)
| ~ apply(sK1,X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl16_334])],[avatar_definition]) ).
fof(f7173,plain,
( ! [X2,X3,X0,X1] :
( ~ apply(sK2,X3,sK6(sK2,sK3,X1))
| X0 = X2
| ~ member(X2,sK4)
| ~ member(X3,sK5)
| ~ apply(sK1,X0,X3)
| ~ member(X0,sK4)
| ~ member(X1,sK5)
| ~ apply(sK1,X2,X1) )
| ~ spl16_334 ),
inference(avatar_component_clause,[],[f7172]) ).
fof(f7174,plain,
( spl16_334
| ~ spl16_19
| ~ spl16_54
| ~ spl16_332 ),
inference(avatar_split_clause,[],[f7121,f7109,f780,f227,f7172]) ).
fof(f7175,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ member(X1,sK4)
| ~ member(X2,sK5)
| ~ apply(sK1,X0,X2)
| ~ member(X0,sK4)
| ~ member(X2,sK5)
| ~ apply(sK1,X1,X2)
| ~ member(X2,sK5) )
| ~ spl16_12
| ~ spl16_334 ),
inference(resolution,[],[f7173,f168]) ).
fof(f7198,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ member(X1,sK4)
| ~ member(X2,sK5)
| ~ apply(sK1,X0,X2)
| ~ member(X0,sK4)
| ~ apply(sK1,X1,X2) )
| ~ spl16_12
| ~ spl16_334 ),
inference(duplicate_literal_removal,[],[f7175]) ).
fof(f7206,definition,
( spl16_335
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ member(X1,sK4)
| ~ member(X2,sK5)
| ~ apply(sK1,X0,X2)
| ~ member(X0,sK4)
| ~ apply(sK1,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl16_335])],[avatar_definition]) ).
fof(f7207,plain,
( ! [X2,X0,X1] :
( ~ apply(sK1,X1,X2)
| ~ member(X1,sK4)
| ~ member(X2,sK5)
| ~ apply(sK1,X0,X2)
| ~ member(X0,sK4)
| X0 = X1 )
| ~ spl16_335 ),
inference(avatar_component_clause,[],[f7206]) ).
fof(f7208,plain,
( spl16_335
| ~ spl16_12
| ~ spl16_334 ),
inference(avatar_split_clause,[],[f7198,f7172,f167,f7206]) ).
fof(f7211,plain,
( ! [X0] :
( ~ member(sK8(sK1,sK4,sK5),sK4)
| ~ member(sK9(sK1,sK4,sK5),sK5)
| ~ apply(sK1,X0,sK9(sK1,sK4,sK5))
| ~ member(X0,sK4)
| sK8(sK1,sK4,sK5) = X0 )
| ~ spl16_70
| ~ spl16_335 ),
inference(resolution,[],[f7207,f915]) ).
fof(f7255,plain,
( ! [X0] :
( ~ member(sK9(sK1,sK4,sK5),sK5)
| ~ apply(sK1,X0,sK9(sK1,sK4,sK5))
| ~ member(X0,sK4)
| sK8(sK1,sK4,sK5) = X0 )
| ~ spl16_70
| ~ spl16_72
| ~ spl16_335 ),
inference(forward_subsumption_resolution,[],[f7211,f943]) ).
fof(f7261,plain,
( ! [X0] :
( ~ apply(sK1,X0,sK9(sK1,sK4,sK5))
| ~ member(X0,sK4)
| sK8(sK1,sK4,sK5) = X0 )
| ~ spl16_70
| ~ spl16_72
| ~ spl16_78
| ~ spl16_335 ),
inference(forward_subsumption_resolution,[],[f7255,f1034]) ).
fof(f7264,definition,
( spl16_336
<=> ! [X0] :
( ~ apply(sK1,X0,sK9(sK1,sK4,sK5))
| ~ member(X0,sK4)
| sK8(sK1,sK4,sK5) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_336])],[avatar_definition]) ).
fof(f7265,plain,
( ! [X0] :
( ~ apply(sK1,X0,sK9(sK1,sK4,sK5))
| ~ member(X0,sK4)
| sK8(sK1,sK4,sK5) = X0 )
| ~ spl16_336 ),
inference(avatar_component_clause,[],[f7264]) ).
fof(f7266,plain,
( spl16_336
| ~ spl16_70
| ~ spl16_72
| ~ spl16_78
| ~ spl16_335 ),
inference(avatar_split_clause,[],[f7261,f7206,f1032,f941,f913,f7264]) ).
fof(f7272,plain,
( ~ member(sK7(sK1,sK4,sK5),sK4)
| sK8(sK1,sK4,sK5) = sK7(sK1,sK4,sK5)
| injective(sK1,sK4,sK5)
| ~ spl16_336 ),
inference(resolution,[],[f7265,f72]) ).
fof(f7277,plain,
( sK8(sK1,sK4,sK5) = sK7(sK1,sK4,sK5)
| injective(sK1,sK4,sK5)
| ~ spl16_336 ),
inference(forward_subsumption_resolution,[],[f7272,f70]) ).
fof(f7281,plain,
( injective(sK1,sK4,sK5)
| spl16_74
| ~ spl16_336 ),
inference(forward_subsumption_resolution,[],[f7277,f993]) ).
fof(f7286,plain,
( $false
| spl16_68
| spl16_74
| ~ spl16_336 ),
inference(forward_subsumption_resolution,[],[f7281,f895]) ).
fof(f7287,plain,
( spl16_68
| spl16_74
| ~ spl16_336 ),
inference(avatar_contradiction_clause,[],[f7286]) ).
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,[],[f103]) ).
cnf(s4,plain,
( ~ spl16_3
| spl16_4 ),
inference(sat_conversion,[],[f109]) ).
cnf(s8,plain,
spl16_8,
inference(sat_conversion,[],[f140]) ).
cnf(s9,plain,
( ~ spl16_8
| spl16_9 ),
inference(sat_conversion,[],[f147]) ).
cnf(s11,plain,
spl16_11,
inference(sat_conversion,[],[f162]) ).
cnf(s12,plain,
( ~ spl16_11
| spl16_12 ),
inference(sat_conversion,[],[f169]) ).
cnf(s17,plain,
( ~ spl16_8
| spl16_17 ),
inference(sat_conversion,[],[f200]) ).
cnf(s18,plain,
( ~ spl16_2
| spl16_18 ),
inference(sat_conversion,[],[f204]) ).
cnf(s19,plain,
( ~ spl16_11
| spl16_19 ),
inference(sat_conversion,[],[f229]) ).
cnf(s20,plain,
( ~ spl16_2
| spl16_20 ),
inference(sat_conversion,[],[f234]) ).
cnf(s21,plain,
( ~ spl16_18
| ~ spl16_20
| spl16_21 ),
inference(sat_conversion,[],[f314]) ).
cnf(s22,plain,
( ~ spl16_18
| ~ spl16_20
| spl16_22 ),
inference(sat_conversion,[],[f325]) ).
cnf(s51,plain,
( ~ spl16_9
| spl16_53 ),
inference(sat_conversion,[],[f775]) ).
cnf(s52,plain,
( ~ spl16_12
| spl16_54 ),
inference(sat_conversion,[],[f782]) ).
cnf(s64,plain,
( spl16_1
| ~ spl16_67
| ~ spl16_68 ),
inference(sat_conversion,[],[f896]) ).
cnf(s66,plain,
( spl16_68
| spl16_70 ),
inference(sat_conversion,[],[f916]) ).
cnf(s68,plain,
( spl16_68
| spl16_72 ),
inference(sat_conversion,[],[f944]) ).
cnf(s70,plain,
( spl16_68
| ~ spl16_74 ),
inference(sat_conversion,[],[f994]) ).
cnf(s74,plain,
( spl16_68
| spl16_78 ),
inference(sat_conversion,[],[f1035]) ).
cnf(s96,plain,
( ~ spl16_21
| spl16_99 ),
inference(sat_conversion,[],[f1458]) ).
cnf(s117,plain,
( ~ spl16_4
| spl16_120 ),
inference(sat_conversion,[],[f1869]) ).
cnf(s242,plain,
( spl16_67
| ~ spl16_85 ),
inference(sat_conversion,[],[f4885]) ).
cnf(s243,plain,
( ~ spl16_22
| spl16_85
| ~ spl16_99 ),
inference(sat_conversion,[],[f4893]) ).
cnf(s322,plain,
( ~ spl16_53
| spl16_326 ),
inference(sat_conversion,[],[f6930]) ).
cnf(s324,plain,
( ~ spl16_17
| ~ spl16_120
| ~ spl16_326
| spl16_328 ),
inference(sat_conversion,[],[f7007]) ).
cnf(s325,plain,
( ~ spl16_17
| ~ spl16_326
| ~ spl16_328
| spl16_329 ),
inference(sat_conversion,[],[f7029]) ).
cnf(s326,plain,
( ~ spl16_329
| spl16_330 ),
inference(sat_conversion,[],[f7062]) ).
cnf(s327,plain,
( ~ spl16_330
| spl16_331 ),
inference(sat_conversion,[],[f7095]) ).
cnf(s328,plain,
( ~ spl16_331
| spl16_332 ),
inference(sat_conversion,[],[f7111]) ).
cnf(s330,plain,
( ~ spl16_19
| ~ spl16_54
| ~ spl16_332
| spl16_334 ),
inference(sat_conversion,[],[f7174]) ).
cnf(s331,plain,
( ~ spl16_12
| ~ spl16_334
| spl16_335 ),
inference(sat_conversion,[],[f7208]) ).
cnf(s332,plain,
( ~ spl16_70
| ~ spl16_72
| ~ spl16_78
| ~ spl16_335
| spl16_336 ),
inference(sat_conversion,[],[f7266]) ).
cnf(s334,plain,
( spl16_68
| spl16_74
| ~ spl16_336 ),
inference(sat_conversion,[],[f7287]) ).
cnf(s335,plain,
spl16_19,
inference(rat,[],[s19,s11]) ).
cnf(s337,plain,
spl16_12,
inference(rat,[],[s12,s11]) ).
cnf(s354,plain,
spl16_54,
inference(rat,[],[s52,s337]) ).
cnf(s364,plain,
spl16_17,
inference(rat,[],[s17,s8]) ).
cnf(s366,plain,
spl16_9,
inference(rat,[],[s9,s8]) ).
cnf(s386,plain,
spl16_53,
inference(rat,[],[s51,s366]) ).
cnf(s393,plain,
spl16_326,
inference(rat,[],[s322,s386]) ).
cnf(s435,plain,
spl16_4,
inference(rat,[],[s4,s3]) ).
cnf(s436,plain,
spl16_120,
inference(rat,[],[s117,s435]) ).
cnf(s437,plain,
spl16_328,
inference(rat,[],[s324,s393,s364,s436]) ).
cnf(s439,plain,
spl16_329,
inference(rat,[],[s325,s393,s364,s437]) ).
cnf(s440,plain,
spl16_330,
inference(rat,[],[s326,s439]) ).
cnf(s441,plain,
spl16_331,
inference(rat,[],[s327,s440]) ).
cnf(s442,plain,
spl16_332,
inference(rat,[],[s328,s441]) ).
cnf(s444,plain,
spl16_334,
inference(rat,[],[s330,s354,s335,s442]) ).
cnf(s445,plain,
spl16_335,
inference(rat,[],[s331,s337,s444]) ).
cnf(s446,plain,
spl16_20,
inference(rat,[],[s20,s2]) ).
cnf(s447,plain,
spl16_18,
inference(rat,[],[s18,s2]) ).
cnf(s456,plain,
spl16_22,
inference(rat,[],[s22,s446,s447]) ).
cnf(s457,plain,
spl16_21,
inference(rat,[],[s21,s446,s447]) ).
cnf(s467,plain,
spl16_99,
inference(rat,[],[s96,s457]) ).
cnf(s469,plain,
spl16_85,
inference(rat,[],[s243,s456,s467]) ).
cnf(s470,plain,
spl16_67,
inference(rat,[],[s242,s469]) ).
cnf(s484,plain,
~ spl16_68,
inference(rat,[],[s64,s470,s1]) ).
cnf(s485,plain,
spl16_78,
inference(rat,[],[s74,s484]) ).
cnf(s486,plain,
~ spl16_74,
inference(rat,[],[s70,s484]) ).
cnf(s488,plain,
spl16_72,
inference(rat,[],[s68,s484]) ).
cnf(s490,plain,
spl16_70,
inference(rat,[],[s66,s484]) ).
cnf(s495,plain,
~ spl16_336,
inference(rat,[],[s334,s484,s486]) ).
cnf(s501,plain,
$false,
inference(rat,[],[s332,s495,s445,s485,s488,s490]) ).
fof(f7288,plain,
$false,
inference(avatar_sat_refutation,[],[s501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET737+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n004.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Mon Sep 28 02:40:07 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.75/2.27 % (4098290)Detected formulas, will run a generic FOF schedule.
% 9.75/2.27 % (4098297)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=1801197544:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.75/2.27 % (4098298)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2440318976:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.75/2.27 % (4098299)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=199792003:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.75/2.27 % (4098301)dis-21_1_sil=8000:lcm=predicate:random_seed=3443663997: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)
% 9.75/2.27 % (4098295)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=2870916395:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.75/2.27 % (4098296)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=1630555888:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.75/2.27 % (4098300)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2998171441:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.75/2.27 % (4098298)Instruction limit reached!
% 9.75/2.27 % (4098298)------------------------------
% 9.75/2.27 % (4098298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.27 % (4098298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.27 % (4098298)CaDiCaL version: 2.1.3
% 9.75/2.27 % (4098298)Termination reason: Instruction limit
% 9.75/2.27 % (4098298)Termination phase: Saturation
% 9.75/2.27 % (4098298)Time elapsed: 0.063 s
% 9.75/2.27 % (4098298)Peak memory usage: 89 MB
% 9.75/2.27 % (4098298)Instructions burned: 110 (million)
% 9.75/2.27 % (4098299)Instruction limit reached!
% 9.75/2.27 % (4098299)------------------------------
% 9.75/2.27 % (4098299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.27 % (4098299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.27 % (4098299)CaDiCaL version: 2.1.3
% 9.75/2.27 % (4098299)Termination reason: Instruction limit
% 9.75/2.27 % (4098299)Termination phase: Saturation
% 9.75/2.27 % (4098299)Time elapsed: 0.074 s
% 9.75/2.27 % (4098299)Peak memory usage: 88 MB
% 9.75/2.27 % (4098299)Instructions burned: 121 (million)
% 9.75/2.27 % (4098301)Instruction limit reached!
% 9.75/2.27 % (4098301)------------------------------
% 9.75/2.27 % (4098301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.27 % (4098301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.27 % (4098301)CaDiCaL version: 2.1.3
% 9.75/2.27 % (4098301)Termination reason: Instruction limit
% 9.75/2.27 % (4098301)Termination phase: Saturation
% 9.75/2.27 % (4098301)Time elapsed: 0.075 s
% 9.75/2.27 % (4098301)Peak memory usage: 89 MB
% 9.75/2.27 % (4098301)Instructions burned: 130 (million)
% 9.75/2.27 % (4098300)Instruction limit reached!
% 9.75/2.27 % (4098300)------------------------------
% 9.75/2.27 % (4098300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.27 % (4098300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.27 % (4098300)CaDiCaL version: 2.1.3
% 9.75/2.27 % (4098300)Termination reason: Instruction limit
% 9.75/2.27 % (4098300)Termination phase: Saturation
% 9.75/2.27 % (4098300)Time elapsed: 0.096 s
% 9.75/2.27 % (4098300)Peak memory usage: 89 MB
% 9.75/2.27 % (4098300)Instructions burned: 140 (million)
% 9.75/2.27 % (4098309)lrs+10_1_sil=8000:sp=occurrence:random_seed=2483884855:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.75/2.27 % (4098311)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1104403087:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.75/2.27 % (4098310)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4133394766:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.75/2.27 % (4098310)Refutation not found, incomplete strategy
% 9.75/2.27 % (4098310)------------------------------
% 9.75/2.27 % (4098310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.27 % (4098310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.27 % (4098310)CaDiCaL version: 2.1.3
% 9.75/2.27 % (4098310)Termination reason: Refutation not found, incomplete strategy
% 9.75/2.27 % (4098310)Time elapsed: 0.003 s
% 9.75/2.27 % (4098310)Peak memory usage: 88 MB
% 9.75/2.27 % (4098310)Instructions burned: 2 (million)
% 9.75/2.27 % (4098312)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=267523068:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 9.75/2.27 % (4098309)Instruction limit reached!
% 9.75/2.27 % (4098309)------------------------------
% 9.75/2.27 % (4098309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.27 % (4098309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.27 % (4098309)CaDiCaL version: 2.1.3
% 9.75/2.27 % (4098309)Termination reason: Instruction limit
% 9.75/2.27 % (4098309)Termination phase: Saturation
% 9.75/2.27 % (4098309)Time elapsed: 0.159 s
% 9.75/2.27 % (4098309)Peak memory usage: 93 MB
% 9.75/2.27 % (4098309)Instructions burned: 286 (million)
% 9.75/2.27 % (4098312)Instruction limit reached!
% 9.75/2.27 % (4098312)------------------------------
% 9.75/2.27 % (4098312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.27 % (4098312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.27 % (4098312)CaDiCaL version: 2.1.3
% 9.75/2.27 % (4098312)Termination reason: Instruction limit
% 9.75/2.27 % (4098312)Termination phase: Saturation
% 9.75/2.27 % (4098312)Time elapsed: 0.129 s
% 9.75/2.27 % (4098312)Peak memory usage: 92 MB
% 9.75/2.27 % (4098312)Instructions burned: 249 (million)
% 9.75/2.27 % (4098311)Instruction limit reached!
% 9.75/2.27 % (4098311)------------------------------
% 9.75/2.27 % (4098311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.27 % (4098311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.27 % (4098311)CaDiCaL version: 2.1.3
% 9.75/2.27 % (4098311)Termination reason: Instruction limit
% 9.75/2.27 % (4098311)Termination phase: Saturation
% 9.75/2.27 % (4098311)Time elapsed: 0.218 s
% 9.75/2.27 % (4098311)Peak memory usage: 93 MB
% 9.75/2.27 % (4098311)Instructions burned: 325 (million)
% 9.75/2.27 % (4098310)------------------------------
% 9.75/2.27 % (4098310)------------------------------
% 9.75/2.27 % (4098317)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1413945188:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 9.75/2.27 % (4098318)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=374771607:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.75/2.27 % (4098319)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3563168729:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 9.75/2.27 % (4098320)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4040314929:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.75/2.27 % (4098319)Instruction limit reached!
% 9.75/2.27 % (4098319)------------------------------
% 9.75/2.27 % (4098319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.27 % (4098319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.27 % (4098319)CaDiCaL version: 2.1.3
% 9.75/2.27 % (4098319)Termination reason: Instruction limit
% 9.75/2.27 % (4098319)Termination phase: Saturation
% 9.75/2.27 % (4098319)Time elapsed: 0.074 s
% 9.75/2.27 % (4098319)Peak memory usage: 90 MB
% 9.75/2.27 % (4098319)Instructions burned: 114 (million)
% 9.75/2.27 % (4098317)Instruction limit reached!
% 9.75/2.27 % (4098317)------------------------------
% 9.75/2.27 % (4098317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.27 % (4098317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.27 % (4098317)CaDiCaL version: 2.1.3
% 9.75/2.27 % (4098317)Termination reason: Instruction limit
% 9.75/2.27 % (4098317)Termination phase: Saturation
% 9.75/2.27 % (4098317)Time elapsed: 0.160 s
% 9.75/2.27 % (4098317)Peak memory usage: 89 MB
% 9.75/2.27 % (4098317)Instructions burned: 295 (million)
% 9.75/2.27 % (4098320)Instruction limit reached!
% 9.75/2.27 % (4098320)------------------------------
% 9.75/2.27 % (4098320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.27 % (4098320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.27 % (4098320)CaDiCaL version: 2.1.3
% 9.75/2.27 % (4098320)Termination reason: Instruction limit
% 9.75/2.27 % (4098320)Termination phase: Saturation
% 9.75/2.27 % (4098320)Time elapsed: 0.068 s
% 9.75/2.27 % (4098320)Peak memory usage: 89 MB
% 9.75/2.27 % (4098320)Instructions burned: 127 (million)
% 9.75/2.27 % (4098326)lrs+10_1_sil=8000:sp=occurrence:random_seed=1897618208:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 9.75/2.27 % (4098325)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4116978010:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 9.75/2.27 % (4098327)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2135196483:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.75/2.27 % (4098325)Instruction limit reached!
% 9.75/2.27 % (4098325)------------------------------
% 9.75/2.27 % (4098325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.27 % (4098325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.27 % (4098325)CaDiCaL version: 2.1.3
% 9.75/2.27 % (4098325)Termination reason: Instruction limit
% 9.75/2.27 % (4098325)Termination phase: Saturation
% 9.75/2.27 % (4098325)Time elapsed: 0.068 s
% 9.75/2.27 % (4098325)Peak memory usage: 89 MB
% 9.75/2.27 % (4098325)Instructions burned: 115 (million)
% 9.75/2.27 % (4098331)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3360497406:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 9.75/2.27 % (4098297)First to succeed.
% 9.75/2.27 % (4098297)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4098290"
% 9.75/2.27 % (4098327)Instruction limit reached!
% 9.75/2.27 % (4098327)------------------------------
% 9.75/2.27 % (4098327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.27 % (4098327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.27 % (4098327)CaDiCaL version: 2.1.3
% 9.75/2.27 % (4098327)Termination reason: Instruction limit
% 9.75/2.27 % (4098327)Termination phase: Saturation
% 9.75/2.27 % (4098327)Time elapsed: 0.242 s
% 9.75/2.27 % (4098327)Peak memory usage: 91 MB
% 9.75/2.27 % (4098327)Instructions burned: 438 (million)
% 9.75/2.27 % (4098297)Refutation found. Thanks to Tanya!
% 9.75/2.27 % SZS status Theorem for theBenchmark
% 9.75/2.27 % SZS output start Proof for theBenchmark
% See solution above
% 10.46/2.48 % (4098297)------------------------------
% 10.46/2.48 % (4098297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.48 % (4098297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.48 % (4098297)CaDiCaL version: 2.1.3
% 10.46/2.48 % (4098297)Termination reason: Refutation
% 10.46/2.48 % (4098297)Time elapsed: 1.106 s
% 10.46/2.48 % (4098297)Peak memory usage: 148 MB
% 10.46/2.48 % (4098297)Instructions burned: 2899 (million)
% 10.46/2.48 % (4098297)------------------------------
% 10.46/2.48 % (4098297)------------------------------
% 10.46/2.48 % (4098290)Success in time 1.4 s
% 10.46/2.48 % Vampire exiting
%------------------------------------------------------------------------------