%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET739+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 : n007.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 13.35s 2.88s
% Output : Refutation 14.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 41
% Syntax : Number of formulae : 273 ( 44 unt; 35 def)
% Number of atoms : 1073 ( 61 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1430 ( 630 ~; 638 |; 99 &)
% ( 46 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 43 ( 41 usr; 34 prp; 0-5 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-5 aty)
% Number of variables : 496 ( 0 sgn 462 !; 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)
& 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(X0,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII30) ).
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(X0,X3,X4) ),
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(X0,X3,X4)
& 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(X0,X3,X4)
& 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(sK0,sK3,sK4)
& 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(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(f62,plain,
~ one_to_one(sK0,sK3,sK4),
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(sK0,sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f91,plain,
( ~ one_to_one(sK0,sK3,sK4)
| spl16_1 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
~ spl16_1,
inference(avatar_split_clause,[],[f62,f89]) ).
fof(f93,plain,
( ~ injective(sK0,sK3,sK4)
| ~ surjective(sK0,sK3,sK4)
| 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,definition,
( spl16_3
<=> surjective(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,
( surjective(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(f104,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_3 ),
inference(resolution,[],[f102,f78]) ).
fof(f105,plain,
( ! [X0] :
( member(sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK4)
| ~ member(X0,sK4) )
| ~ spl16_3 ),
inference(resolution,[],[f102,f79]) ).
fof(f108,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(f110,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(f111,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,[],[f110]) ).
fof(f112,plain,
( spl16_4
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f108,f95,f110]) ).
fof(f124,definition,
( spl16_7
<=> maps(sK2,sK5,sK3) ),
introduced(definition,[new_symbols(definition,[spl16_7])],[avatar_definition]) ).
fof(f126,plain,
( maps(sK2,sK5,sK3)
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
spl16_7,
inference(avatar_split_clause,[],[f59,f124]) ).
fof(f128,plain,
( ! [X0] :
( apply(sK2,X0,sK6(sK2,sK3,X0))
| ~ member(X0,sK5) )
| ~ spl16_7 ),
inference(resolution,[],[f126,f64]) ).
fof(f129,plain,
( ! [X0] :
( member(sK6(sK2,sK3,X0),sK3)
| ~ member(X0,sK5) )
| ~ spl16_7 ),
inference(resolution,[],[f126,f65]) ).
fof(f132,definition,
( spl16_8
<=> ! [X0] :
( apply(sK2,X0,sK6(sK2,sK3,X0))
| ~ member(X0,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).
fof(f133,plain,
( ! [X0] :
( apply(sK2,X0,sK6(sK2,sK3,X0))
| ~ member(X0,sK5) )
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f134,plain,
( spl16_8
| ~ spl16_7 ),
inference(avatar_split_clause,[],[f128,f124,f132]) ).
fof(f139,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_8 ),
inference(resolution,[],[f133,f86]) ).
fof(f141,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,[],[f111,f85]) ).
fof(f143,definition,
( spl16_9
<=> maps(sK1,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl16_9])],[avatar_definition]) ).
fof(f145,plain,
( maps(sK1,sK4,sK5)
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,plain,
spl16_9,
inference(avatar_split_clause,[],[f60,f143]) ).
fof(f147,plain,
( ! [X0] :
( apply(sK1,X0,sK6(sK1,sK5,X0))
| ~ member(X0,sK4) )
| ~ spl16_9 ),
inference(resolution,[],[f145,f64]) ).
fof(f148,plain,
( ! [X0] :
( member(sK6(sK1,sK5,X0),sK5)
| ~ member(X0,sK4) )
| ~ spl16_9 ),
inference(resolution,[],[f145,f65]) ).
fof(f151,definition,
( spl16_10
<=> ! [X0] :
( apply(sK1,X0,sK6(sK1,sK5,X0))
| ~ member(X0,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl16_10])],[avatar_definition]) ).
fof(f152,plain,
( ! [X0] :
( apply(sK1,X0,sK6(sK1,sK5,X0))
| ~ member(X0,sK4) )
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f153,plain,
( spl16_10
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f147,f143,f151]) ).
fof(f158,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,[],[f152,f86]) ).
fof(f194,definition,
( spl16_16
<=> ! [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_16])],[avatar_definition]) ).
fof(f195,plain,
( ! [X0] :
( member(sK12(compose_function(sK0,compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3,sK4),sK4,X0),sK4)
| ~ member(X0,sK4) )
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f196,plain,
( spl16_16
| ~ spl16_3 ),
inference(avatar_split_clause,[],[f105,f100,f194]) ).
fof(f198,definition,
( spl16_17
<=> ! [X0] :
( member(sK6(sK2,sK3,X0),sK3)
| ~ member(X0,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl16_17])],[avatar_definition]) ).
fof(f199,plain,
( ! [X0] :
( member(sK6(sK2,sK3,X0),sK3)
| ~ member(X0,sK5) )
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f200,plain,
( spl16_17
| ~ spl16_7 ),
inference(avatar_split_clause,[],[f129,f124,f198]) ).
fof(f226,definition,
( spl16_19
<=> ! [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_19])],[avatar_definition]) ).
fof(f227,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_19 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( spl16_19
| ~ spl16_3 ),
inference(avatar_split_clause,[],[f104,f100,f226]) ).
fof(f229,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_19 ),
inference(resolution,[],[f227,f74]) ).
fof(f231,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_19 ),
inference(resolution,[],[f227,f76]) ).
fof(f239,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_19 ),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f241,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_19 ),
inference(duplicate_literal_removal,[],[f229]) ).
fof(f242,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_16
| ~ spl16_19 ),
inference(forward_subsumption_resolution,[],[f239,f195]) ).
fof(f244,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_16
| ~ spl16_19 ),
inference(forward_subsumption_resolution,[],[f241,f195]) ).
fof(f246,definition,
( spl16_20
<=> ! [X0] :
( member(sK6(sK1,sK5,X0),sK5)
| ~ member(X0,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl16_20])],[avatar_definition]) ).
fof(f247,plain,
( ! [X0] :
( member(sK6(sK1,sK5,X0),sK5)
| ~ member(X0,sK4) )
| ~ spl16_20 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( spl16_20
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f148,f143,f246]) ).
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_16
| ~ spl16_19 ),
inference(avatar_split_clause,[],[f244,f226,f194,f352]) ).
fof(f363,definition,
( spl16_23
<=> ! [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_23])],[avatar_definition]) ).
fof(f364,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_23 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f365,plain,
( spl16_23
| ~ spl16_16
| ~ spl16_19 ),
inference(avatar_split_clause,[],[f242,f226,f194,f363]) ).
fof(f811,definition,
( spl16_50
<=> surjective(sK0,sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl16_50])],[avatar_definition]) ).
fof(f813,plain,
( ~ surjective(sK0,sK3,sK4)
| spl16_50 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f815,definition,
( spl16_51
<=> injective(sK0,sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl16_51])],[avatar_definition]) ).
fof(f817,plain,
( ~ injective(sK0,sK3,sK4)
| spl16_51 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f818,plain,
( ~ spl16_50
| ~ spl16_51
| spl16_1 ),
inference(avatar_split_clause,[],[f93,f89,f815,f811]) ).
fof(f819,plain,
( member(sK11(sK0,sK3,sK4),sK4)
| spl16_50 ),
inference(resolution,[],[f813,f80]) ).
fof(f820,plain,
( ! [X0] :
( ~ member(X0,sK3)
| ~ apply(sK0,X0,sK11(sK0,sK3,sK4)) )
| spl16_50 ),
inference(resolution,[],[f813,f81]) ).
fof(f822,definition,
( spl16_52
<=> ! [X0] :
( ~ member(X0,sK3)
| ~ apply(sK0,X0,sK11(sK0,sK3,sK4)) ) ),
introduced(definition,[new_symbols(definition,[spl16_52])],[avatar_definition]) ).
fof(f823,plain,
( ! [X0] :
( ~ apply(sK0,X0,sK11(sK0,sK3,sK4))
| ~ member(X0,sK3) )
| ~ spl16_52 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f824,plain,
( spl16_52
| spl16_50 ),
inference(avatar_split_clause,[],[f820,f811,f822]) ).
fof(f825,plain,
( ~ 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,sK11(sK0,sK3,sK4)),sK11(sK0,sK3,sK4)),sK3)
| ~ member(sK11(sK0,sK3,sK4),sK4)
| ~ spl16_22
| ~ spl16_52 ),
inference(resolution,[],[f823,f353]) ).
fof(f828,plain,
( ~ member(sK11(sK0,sK3,sK4),sK4)
| ~ spl16_22
| ~ spl16_23
| ~ spl16_52 ),
inference(forward_subsumption_resolution,[],[f825,f364]) ).
fof(f829,plain,
( $false
| ~ spl16_22
| ~ spl16_23
| spl16_50
| ~ spl16_52 ),
inference(forward_subsumption_resolution,[],[f828,f819]) ).
fof(f830,plain,
( ~ spl16_22
| ~ spl16_23
| spl16_50
| ~ spl16_52 ),
inference(avatar_contradiction_clause,[],[f829]) ).
fof(f844,plain,
( member(sK9(sK0,sK3,sK4),sK4)
| spl16_51 ),
inference(resolution,[],[f817,f68]) ).
fof(f845,plain,
( member(sK8(sK0,sK3,sK4),sK3)
| spl16_51 ),
inference(resolution,[],[f817,f69]) ).
fof(f847,plain,
( apply(sK0,sK8(sK0,sK3,sK4),sK9(sK0,sK3,sK4))
| spl16_51 ),
inference(resolution,[],[f817,f71]) ).
fof(f849,plain,
( sK8(sK0,sK3,sK4) != sK7(sK0,sK3,sK4)
| spl16_51 ),
inference(resolution,[],[f817,f73]) ).
fof(f851,definition,
( spl16_55
<=> apply(sK0,sK8(sK0,sK3,sK4),sK9(sK0,sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl16_55])],[avatar_definition]) ).
fof(f853,plain,
( apply(sK0,sK8(sK0,sK3,sK4),sK9(sK0,sK3,sK4))
| ~ spl16_55 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f854,plain,
( spl16_55
| spl16_51 ),
inference(avatar_split_clause,[],[f847,f815,f851]) ).
fof(f870,definition,
( spl16_57
<=> member(sK8(sK0,sK3,sK4),sK3) ),
introduced(definition,[new_symbols(definition,[spl16_57])],[avatar_definition]) ).
fof(f872,plain,
( member(sK8(sK0,sK3,sK4),sK3)
| ~ spl16_57 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f873,plain,
( spl16_57
| spl16_51 ),
inference(avatar_split_clause,[],[f845,f815,f870]) ).
fof(f929,definition,
( spl16_59
<=> sK8(sK0,sK3,sK4) = sK7(sK0,sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl16_59])],[avatar_definition]) ).
fof(f931,plain,
( sK8(sK0,sK3,sK4) != sK7(sK0,sK3,sK4)
| spl16_59 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f932,plain,
( ~ spl16_59
| spl16_51 ),
inference(avatar_split_clause,[],[f849,f815,f929]) ).
fof(f956,definition,
( spl16_62
<=> member(sK9(sK0,sK3,sK4),sK4) ),
introduced(definition,[new_symbols(definition,[spl16_62])],[avatar_definition]) ).
fof(f958,plain,
( member(sK9(sK0,sK3,sK4),sK4)
| ~ spl16_62 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f959,plain,
( spl16_62
| spl16_51 ),
inference(avatar_split_clause,[],[f844,f815,f956]) ).
fof(f1131,definition,
( spl16_73
<=> ! [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_73])],[avatar_definition]) ).
fof(f1132,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_73 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f1133,plain,
( spl16_73
| ~ spl16_10 ),
inference(avatar_split_clause,[],[f158,f151,f1131]) ).
fof(f1165,definition,
( spl16_78
<=> ! [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_78])],[avatar_definition]) ).
fof(f1166,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_78 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1167,plain,
( spl16_78
| ~ spl16_8 ),
inference(avatar_split_clause,[],[f139,f132,f1165]) ).
fof(f1168,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_78 ),
inference(resolution,[],[f1166,f87]) ).
fof(f1781,definition,
( spl16_114
<=> ! [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_114])],[avatar_definition]) ).
fof(f1782,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_114 ),
inference(avatar_component_clause,[],[f1781]) ).
fof(f1783,plain,
( spl16_114
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f141,f110,f1781]) ).
fof(f5183,definition,
( spl16_254
<=> ! [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_254])],[avatar_definition]) ).
fof(f5184,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_254 ),
inference(avatar_component_clause,[],[f5183]) ).
fof(f5185,plain,
( spl16_254
| ~ spl16_78 ),
inference(avatar_split_clause,[],[f1168,f1165,f5183]) ).
fof(f5186,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_114
| ~ spl16_254 ),
inference(resolution,[],[f5184,f1782]) ).
fof(f5222,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_114
| ~ spl16_254 ),
inference(duplicate_literal_removal,[],[f5186]) ).
fof(f5227,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_17
| ~ spl16_114
| ~ spl16_254 ),
inference(forward_subsumption_resolution,[],[f5222,f199]) ).
fof(f5245,definition,
( spl16_256
<=> ! [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_256])],[avatar_definition]) ).
fof(f5246,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_256 ),
inference(avatar_component_clause,[],[f5245]) ).
fof(f5247,plain,
( spl16_256
| ~ spl16_17
| ~ spl16_114
| ~ spl16_254 ),
inference(avatar_split_clause,[],[f5227,f5183,f1781,f198,f5245]) ).
fof(f5248,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_254
| ~ spl16_256 ),
inference(resolution,[],[f5246,f5184]) ).
fof(f5259,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_254
| ~ spl16_256 ),
inference(duplicate_literal_removal,[],[f5248]) ).
fof(f5261,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_17
| ~ spl16_254
| ~ spl16_256 ),
inference(forward_subsumption_resolution,[],[f5259,f199]) ).
fof(f5263,definition,
( spl16_257
<=> ! [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_257])],[avatar_definition]) ).
fof(f5264,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_257 ),
inference(avatar_component_clause,[],[f5263]) ).
fof(f5265,plain,
( spl16_257
| ~ spl16_17
| ~ spl16_254
| ~ spl16_256 ),
inference(avatar_split_clause,[],[f5261,f5245,f5183,f198,f5263]) ).
fof(f5266,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_257 ),
inference(resolution,[],[f5264,f87]) ).
fof(f5285,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_257 ),
inference(duplicate_literal_removal,[],[f5266]) ).
fof(f5291,definition,
( spl16_258
<=> ! [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_258])],[avatar_definition]) ).
fof(f5292,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_258 ),
inference(avatar_component_clause,[],[f5291]) ).
fof(f5293,plain,
( spl16_258
| ~ spl16_257 ),
inference(avatar_split_clause,[],[f5285,f5263,f5291]) ).
fof(f5294,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_258 ),
inference(resolution,[],[f5292,f87]) ).
fof(f5313,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_258 ),
inference(duplicate_literal_removal,[],[f5294]) ).
fof(f5319,definition,
( spl16_259
<=> ! [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_259])],[avatar_definition]) ).
fof(f5320,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_259 ),
inference(avatar_component_clause,[],[f5319]) ).
fof(f5321,plain,
( spl16_259
| ~ spl16_258 ),
inference(avatar_split_clause,[],[f5313,f5291,f5319]) ).
fof(f5322,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_259 ),
inference(resolution,[],[f5320,f86]) ).
fof(f5332,definition,
( spl16_260
<=> ! [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_260])],[avatar_definition]) ).
fof(f5333,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_260 ),
inference(avatar_component_clause,[],[f5332]) ).
fof(f5334,plain,
( spl16_260
| ~ spl16_259 ),
inference(avatar_split_clause,[],[f5322,f5319,f5332]) ).
fof(f5338,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_73
| ~ spl16_260 ),
inference(resolution,[],[f5333,f1132]) ).
fof(f5339,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_73
| ~ spl16_260 ),
inference(duplicate_literal_removal,[],[f5338]) ).
fof(f5341,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_20
| ~ spl16_73
| ~ spl16_260 ),
inference(forward_subsumption_resolution,[],[f5339,f247]) ).
fof(f5386,definition,
( spl16_262
<=> ! [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_262])],[avatar_definition]) ).
fof(f5387,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_262 ),
inference(avatar_component_clause,[],[f5386]) ).
fof(f5388,plain,
( spl16_262
| ~ spl16_20
| ~ spl16_73
| ~ spl16_260 ),
inference(avatar_split_clause,[],[f5341,f5332,f1131,f246,f5386]) ).
fof(f5389,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_262 ),
inference(resolution,[],[f5387,f152]) ).
fof(f5410,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_262 ),
inference(duplicate_literal_removal,[],[f5389]) ).
fof(f5417,definition,
( spl16_263
<=> ! [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_263])],[avatar_definition]) ).
fof(f5418,plain,
( ! [X2,X0,X1] :
( ~ apply(sK0,X1,X2)
| ~ member(X1,sK3)
| ~ member(X2,sK4)
| ~ apply(sK0,X0,X2)
| ~ member(X0,sK3)
| X0 = X1 )
| ~ spl16_263 ),
inference(avatar_component_clause,[],[f5417]) ).
fof(f5419,plain,
( spl16_263
| ~ spl16_10
| ~ spl16_262 ),
inference(avatar_split_clause,[],[f5410,f5386,f151,f5417]) ).
fof(f5422,plain,
( ! [X0] :
( ~ member(sK8(sK0,sK3,sK4),sK3)
| ~ member(sK9(sK0,sK3,sK4),sK4)
| ~ apply(sK0,X0,sK9(sK0,sK3,sK4))
| ~ member(X0,sK3)
| sK8(sK0,sK3,sK4) = X0 )
| ~ spl16_55
| ~ spl16_263 ),
inference(resolution,[],[f5418,f853]) ).
fof(f5460,plain,
( ! [X0] :
( ~ member(sK9(sK0,sK3,sK4),sK4)
| ~ apply(sK0,X0,sK9(sK0,sK3,sK4))
| ~ member(X0,sK3)
| sK8(sK0,sK3,sK4) = X0 )
| ~ spl16_55
| ~ spl16_57
| ~ spl16_263 ),
inference(forward_subsumption_resolution,[],[f5422,f872]) ).
fof(f5465,plain,
( ! [X0] :
( ~ apply(sK0,X0,sK9(sK0,sK3,sK4))
| ~ member(X0,sK3)
| sK8(sK0,sK3,sK4) = X0 )
| ~ spl16_55
| ~ spl16_57
| ~ spl16_62
| ~ spl16_263 ),
inference(forward_subsumption_resolution,[],[f5460,f958]) ).
fof(f5468,definition,
( spl16_264
<=> ! [X0] :
( ~ apply(sK0,X0,sK9(sK0,sK3,sK4))
| ~ member(X0,sK3)
| sK8(sK0,sK3,sK4) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_264])],[avatar_definition]) ).
fof(f5469,plain,
( ! [X0] :
( ~ apply(sK0,X0,sK9(sK0,sK3,sK4))
| ~ member(X0,sK3)
| sK8(sK0,sK3,sK4) = X0 )
| ~ spl16_264 ),
inference(avatar_component_clause,[],[f5468]) ).
fof(f5470,plain,
( spl16_264
| ~ spl16_55
| ~ spl16_57
| ~ spl16_62
| ~ spl16_263 ),
inference(avatar_split_clause,[],[f5465,f5417,f956,f870,f851,f5468]) ).
fof(f5476,plain,
( ~ member(sK7(sK0,sK3,sK4),sK3)
| sK8(sK0,sK3,sK4) = sK7(sK0,sK3,sK4)
| injective(sK0,sK3,sK4)
| ~ spl16_264 ),
inference(resolution,[],[f5469,f72]) ).
fof(f5481,plain,
( sK8(sK0,sK3,sK4) = sK7(sK0,sK3,sK4)
| injective(sK0,sK3,sK4)
| ~ spl16_264 ),
inference(forward_subsumption_resolution,[],[f5476,f70]) ).
fof(f5486,plain,
( injective(sK0,sK3,sK4)
| spl16_59
| ~ spl16_264 ),
inference(forward_subsumption_resolution,[],[f5481,f931]) ).
fof(f5492,plain,
( $false
| spl16_51
| spl16_59
| ~ spl16_264 ),
inference(forward_subsumption_resolution,[],[f5486,f817]) ).
fof(f5493,plain,
( spl16_51
| spl16_59
| ~ spl16_264 ),
inference(avatar_contradiction_clause,[],[f5492]) ).
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_2
| spl16_4 ),
inference(sat_conversion,[],[f112]) ).
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,[],[f146]) ).
cnf(s10,plain,
( ~ spl16_9
| spl16_10 ),
inference(sat_conversion,[],[f153]) ).
cnf(s16,plain,
( ~ spl16_3
| spl16_16 ),
inference(sat_conversion,[],[f196]) ).
cnf(s17,plain,
( ~ spl16_7
| spl16_17 ),
inference(sat_conversion,[],[f200]) ).
cnf(s19,plain,
( ~ spl16_3
| spl16_19 ),
inference(sat_conversion,[],[f228]) ).
cnf(s20,plain,
( ~ spl16_9
| spl16_20 ),
inference(sat_conversion,[],[f248]) ).
cnf(s22,plain,
( ~ spl16_16
| ~ spl16_19
| spl16_22 ),
inference(sat_conversion,[],[f354]) ).
cnf(s23,plain,
( ~ spl16_16
| ~ spl16_19
| spl16_23 ),
inference(sat_conversion,[],[f365]) ).
cnf(s50,plain,
( spl16_1
| ~ spl16_50
| ~ spl16_51 ),
inference(sat_conversion,[],[f818]) ).
cnf(s51,plain,
( spl16_50
| spl16_52 ),
inference(sat_conversion,[],[f824]) ).
cnf(s52,plain,
( ~ spl16_22
| ~ spl16_23
| spl16_50
| ~ spl16_52 ),
inference(sat_conversion,[],[f830]) ).
cnf(s55,plain,
( spl16_51
| spl16_55 ),
inference(sat_conversion,[],[f854]) ).
cnf(s57,plain,
( spl16_51
| spl16_57 ),
inference(sat_conversion,[],[f873]) ).
cnf(s59,plain,
( spl16_51
| ~ spl16_59 ),
inference(sat_conversion,[],[f932]) ).
cnf(s62,plain,
( spl16_51
| spl16_62 ),
inference(sat_conversion,[],[f959]) ).
cnf(s73,plain,
( ~ spl16_10
| spl16_73 ),
inference(sat_conversion,[],[f1133]) ).
cnf(s77,plain,
( ~ spl16_8
| spl16_78 ),
inference(sat_conversion,[],[f1167]) ).
cnf(s112,plain,
( ~ spl16_4
| spl16_114 ),
inference(sat_conversion,[],[f1783]) ).
cnf(s246,plain,
( ~ spl16_78
| spl16_254 ),
inference(sat_conversion,[],[f5185]) ).
cnf(s248,plain,
( ~ spl16_17
| ~ spl16_114
| ~ spl16_254
| spl16_256 ),
inference(sat_conversion,[],[f5247]) ).
cnf(s249,plain,
( ~ spl16_17
| ~ spl16_254
| ~ spl16_256
| spl16_257 ),
inference(sat_conversion,[],[f5265]) ).
cnf(s250,plain,
( ~ spl16_257
| spl16_258 ),
inference(sat_conversion,[],[f5293]) ).
cnf(s251,plain,
( ~ spl16_258
| spl16_259 ),
inference(sat_conversion,[],[f5321]) ).
cnf(s252,plain,
( ~ spl16_259
| spl16_260 ),
inference(sat_conversion,[],[f5334]) ).
cnf(s254,plain,
( ~ spl16_20
| ~ spl16_73
| ~ spl16_260
| spl16_262 ),
inference(sat_conversion,[],[f5388]) ).
cnf(s255,plain,
( ~ spl16_10
| ~ spl16_262
| spl16_263 ),
inference(sat_conversion,[],[f5419]) ).
cnf(s256,plain,
( ~ spl16_55
| ~ spl16_57
| ~ spl16_62
| ~ spl16_263
| spl16_264 ),
inference(sat_conversion,[],[f5470]) ).
cnf(s258,plain,
( spl16_51
| spl16_59
| ~ spl16_264 ),
inference(sat_conversion,[],[f5493]) ).
cnf(s259,plain,
spl16_20,
inference(rat,[],[s20,s9]) ).
cnf(s261,plain,
spl16_10,
inference(rat,[],[s10,s9]) ).
cnf(s273,plain,
spl16_73,
inference(rat,[],[s73,s261]) ).
cnf(s279,plain,
spl16_17,
inference(rat,[],[s17,s7]) ).
cnf(s281,plain,
spl16_8,
inference(rat,[],[s8,s7]) ).
cnf(s297,plain,
spl16_78,
inference(rat,[],[s77,s281]) ).
cnf(s303,plain,
spl16_254,
inference(rat,[],[s246,s297]) ).
cnf(s351,plain,
spl16_19,
inference(rat,[],[s19,s3]) ).
cnf(s352,plain,
spl16_16,
inference(rat,[],[s16,s3]) ).
cnf(s357,plain,
spl16_23,
inference(rat,[],[s23,s351,s352]) ).
cnf(s358,plain,
spl16_22,
inference(rat,[],[s22,s351,s352]) ).
cnf(s366,plain,
spl16_4,
inference(rat,[],[s4,s2]) ).
cnf(s367,plain,
spl16_114,
inference(rat,[],[s112,s366]) ).
cnf(s368,plain,
spl16_256,
inference(rat,[],[s248,s303,s279,s367]) ).
cnf(s369,plain,
spl16_257,
inference(rat,[],[s249,s303,s279,s368]) ).
cnf(s370,plain,
spl16_258,
inference(rat,[],[s250,s369]) ).
cnf(s371,plain,
spl16_259,
inference(rat,[],[s251,s370]) ).
cnf(s372,plain,
spl16_260,
inference(rat,[],[s252,s371]) ).
cnf(s374,plain,
spl16_262,
inference(rat,[],[s254,s273,s259,s372]) ).
cnf(s375,plain,
spl16_263,
inference(rat,[],[s255,s261,s374]) ).
cnf(s376,plain,
spl16_50,
inference(rat,[],[s52,s51,s357,s358]) ).
cnf(s379,plain,
~ spl16_51,
inference(rat,[],[s50,s1,s376]) ).
cnf(s386,plain,
spl16_62,
inference(rat,[],[s62,s379]) ).
cnf(s387,plain,
~ spl16_59,
inference(rat,[],[s59,s379]) ).
cnf(s389,plain,
spl16_57,
inference(rat,[],[s57,s379]) ).
cnf(s391,plain,
spl16_55,
inference(rat,[],[s55,s379]) ).
cnf(s398,plain,
~ spl16_264,
inference(rat,[],[s258,s379,s387]) ).
cnf(s404,plain,
$false,
inference(rat,[],[s256,s398,s375,s386,s389,s391]) ).
fof(f5494,plain,
$false,
inference(avatar_sat_refutation,[],[s404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET739+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 02:38:25 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 11.28/2.50 % (1975690)Detected formulas, will run a generic FOF schedule.
% 11.28/2.50 % (1975701)dis-21_1_sil=8000:lcm=predicate:random_seed=457378688: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)
% 11.28/2.50 % (1975696)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=1208166459:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.28/2.50 % (1975695)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=2349840741:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.28/2.50 % (1975700)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1213550989:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.28/2.50 % (1975701)Instruction limit reached!
% 11.28/2.50 % (1975701)------------------------------
% 11.28/2.50 % (1975701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.50 % (1975701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.50 % (1975701)CaDiCaL version: 2.1.3
% 11.28/2.50 % (1975701)Termination reason: Instruction limit
% 11.28/2.50 % (1975701)Termination phase: Saturation
% 11.28/2.50 % (1975701)Time elapsed: 0.029 s
% 11.28/2.50 % (1975701)Peak memory usage: 89 MB
% 11.28/2.50 % (1975701)Instructions burned: 130 (million)
% 11.28/2.50 % (1975699)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4082809667:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.28/2.50 % (1975697)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=3000242639:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.28/2.50 % (1975698)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2398955700:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.28/2.50 % (1975700)Instruction limit reached!
% 11.28/2.50 % (1975700)------------------------------
% 11.28/2.50 % (1975700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.50 % (1975700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.50 % (1975700)CaDiCaL version: 2.1.3
% 11.28/2.50 % (1975700)Termination reason: Instruction limit
% 11.28/2.50 % (1975700)Termination phase: Saturation
% 11.28/2.50 % (1975700)Time elapsed: 0.062 s
% 11.28/2.50 % (1975700)Peak memory usage: 89 MB
% 11.28/2.50 % (1975700)Instructions burned: 142 (million)
% 11.28/2.50 % (1975698)Instruction limit reached!
% 11.28/2.50 % (1975698)------------------------------
% 11.28/2.50 % (1975698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.50 % (1975698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.50 % (1975698)CaDiCaL version: 2.1.3
% 11.28/2.50 % (1975698)Termination reason: Instruction limit
% 11.28/2.50 % (1975698)Termination phase: Saturation
% 11.28/2.50 % (1975698)Time elapsed: 0.060 s
% 11.28/2.50 % (1975698)Peak memory usage: 89 MB
% 11.28/2.50 % (1975698)Instructions burned: 109 (million)
% 11.28/2.50 % (1975699)Instruction limit reached!
% 11.28/2.50 % (1975699)------------------------------
% 11.28/2.50 % (1975699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.50 % (1975699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.50 % (1975699)CaDiCaL version: 2.1.3
% 11.28/2.50 % (1975699)Termination reason: Instruction limit
% 11.28/2.50 % (1975699)Termination phase: Saturation
% 11.28/2.50 % (1975699)Time elapsed: 0.070 s
% 11.28/2.50 % (1975699)Peak memory usage: 89 MB
% 11.28/2.50 % (1975699)Instructions burned: 119 (million)
% 11.28/2.50 % (1975709)lrs+10_1_sil=8000:sp=occurrence:random_seed=1626880928:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.28/2.50 % (1975710)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3841098286:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.28/2.50 % (1975710)Refutation not found, incomplete strategy
% 11.28/2.50 % (1975710)------------------------------
% 11.28/2.50 % (1975710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.50 % (1975710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.50 % (1975710)CaDiCaL version: 2.1.3
% 11.28/2.50 % (1975710)Termination reason: Refutation not found, incomplete strategy
% 13.35/2.88 % (1975710)Time elapsed: 0.001 s
% 13.35/2.88 % (1975710)Peak memory usage: 88 MB
% 13.35/2.88 % (1975710)Instructions burned: 2 (million)
% 13.35/2.88 % (1975711)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1749173125:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.35/2.88 % (1975712)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=2853006811:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 13.35/2.88 % (1975709)Instruction limit reached!
% 13.35/2.88 % (1975709)------------------------------
% 13.35/2.88 % (1975709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975709)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975709)Termination reason: Instruction limit
% 13.35/2.88 % (1975709)Termination phase: Saturation
% 13.35/2.88 % (1975709)Time elapsed: 0.162 s
% 13.35/2.88 % (1975709)Peak memory usage: 93 MB
% 13.35/2.88 % (1975709)Instructions burned: 285 (million)
% 13.35/2.88 % (1975710)------------------------------
% 13.35/2.88 % (1975710)------------------------------
% 13.35/2.88 % (1975712)Instruction limit reached!
% 13.35/2.88 % (1975712)------------------------------
% 13.35/2.88 % (1975712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975712)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975712)Termination reason: Instruction limit
% 13.35/2.88 % (1975712)Termination phase: Saturation
% 13.35/2.88 % (1975712)Time elapsed: 0.131 s
% 13.35/2.88 % (1975712)Peak memory usage: 92 MB
% 13.35/2.88 % (1975712)Instructions burned: 250 (million)
% 13.35/2.88 % (1975711)Instruction limit reached!
% 13.35/2.88 % (1975711)------------------------------
% 13.35/2.88 % (1975711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975711)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975711)Termination reason: Instruction limit
% 13.35/2.88 % (1975711)Termination phase: Saturation
% 13.35/2.88 % (1975711)Time elapsed: 0.217 s
% 13.35/2.88 % (1975711)Peak memory usage: 93 MB
% 13.35/2.88 % (1975711)Instructions burned: 325 (million)
% 13.35/2.88 % (1975717)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=978637862:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 13.35/2.88 % (1975718)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=798715107:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 13.35/2.88 % (1975719)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1963233155:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 13.35/2.88 % (1975720)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=727110304:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 13.35/2.88 % (1975719)Instruction limit reached!
% 13.35/2.88 % (1975719)------------------------------
% 13.35/2.88 % (1975719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975719)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975719)Termination reason: Instruction limit
% 13.35/2.88 % (1975719)Termination phase: Saturation
% 13.35/2.88 % (1975719)Time elapsed: 0.076 s
% 13.35/2.88 % (1975719)Peak memory usage: 90 MB
% 13.35/2.88 % (1975719)Instructions burned: 114 (million)
% 13.35/2.88 % (1975720)Instruction limit reached!
% 13.35/2.88 % (1975720)------------------------------
% 13.35/2.88 % (1975720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975720)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975720)Termination reason: Instruction limit
% 13.35/2.88 % (1975720)Termination phase: Saturation
% 13.35/2.88 % (1975720)Time elapsed: 0.038 s
% 13.35/2.88 % (1975720)Peak memory usage: 89 MB
% 13.35/2.88 % (1975720)Instructions burned: 130 (million)
% 13.35/2.88 % (1975717)Instruction limit reached!
% 13.35/2.88 % (1975717)------------------------------
% 13.35/2.88 % (1975717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975717)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975717)Termination reason: Instruction limit
% 13.35/2.88 % (1975717)Termination phase: Saturation
% 13.35/2.88 % (1975717)Time elapsed: 0.165 s
% 13.35/2.88 % (1975717)Peak memory usage: 89 MB
% 13.35/2.88 % (1975717)Instructions burned: 294 (million)
% 13.35/2.88 % (1975726)lrs+10_1_sil=8000:sp=occurrence:random_seed=4063280186:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 13.35/2.88 % (1975725)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1375954550:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 13.35/2.88 % (1975727)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1983700362:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 13.35/2.88 % (1975725)Instruction limit reached!
% 13.35/2.88 % (1975725)------------------------------
% 13.35/2.88 % (1975725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975725)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975725)Termination reason: Instruction limit
% 13.35/2.88 % (1975725)Termination phase: Saturation
% 13.35/2.88 % (1975725)Time elapsed: 0.069 s
% 13.35/2.88 % (1975725)Peak memory usage: 89 MB
% 13.35/2.88 % (1975725)Instructions burned: 114 (million)
% 13.35/2.88 % (1975731)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1043511014:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 13.35/2.88 % (1975726)Instruction limit reached!
% 13.35/2.88 % (1975726)------------------------------
% 13.35/2.88 % (1975726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975726)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975726)Termination reason: Instruction limit
% 13.35/2.88 % (1975726)Termination phase: Saturation
% 13.35/2.88 % (1975726)Time elapsed: 0.274 s
% 13.35/2.88 % (1975726)Peak memory usage: 101 MB
% 13.35/2.88 % (1975726)Instructions burned: 907 (million)
% 13.35/2.88 % (1975727)Instruction limit reached!
% 13.35/2.88 % (1975727)------------------------------
% 13.35/2.88 % (1975727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975727)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975727)Termination reason: Instruction limit
% 13.35/2.88 % (1975727)Termination phase: Saturation
% 13.35/2.88 % (1975727)Time elapsed: 0.243 s
% 13.35/2.88 % (1975727)Peak memory usage: 91 MB
% 13.35/2.88 % (1975727)Instructions burned: 438 (million)
% 13.35/2.88 % (1975733)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=363578953:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 13.35/2.88 % (1975733)Refutation not found, incomplete strategy
% 13.35/2.88 % (1975733)------------------------------
% 13.35/2.88 % (1975733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975733)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975733)Termination reason: Refutation not found, incomplete strategy
% 13.35/2.88 % (1975733)Time elapsed: 0.003 s
% 13.35/2.88 % (1975733)Peak memory usage: 88 MB
% 13.35/2.88 % (1975733)Instructions burned: 2 (million)
% 13.35/2.88 % (1975734)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4130137121:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 13.35/2.88 % (1975733)------------------------------
% 13.35/2.88 % (1975733)------------------------------
% 13.35/2.88 % (1975737)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=131473097:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 13.35/2.88 % (1975734)Instruction limit reached!
% 13.35/2.88 % (1975734)------------------------------
% 13.35/2.88 % (1975734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975734)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975734)Termination reason: Instruction limit
% 13.35/2.88 % (1975734)Termination phase: Saturation
% 13.35/2.88 % (1975734)Time elapsed: 0.334 s
% 13.35/2.88 % (1975734)Peak memory usage: 97 MB
% 13.35/2.88 % (1975734)Instructions burned: 593 (million)
% 13.35/2.88 % (1975718)Instruction limit reached!
% 13.35/2.88 % (1975718)------------------------------
% 13.35/2.88 % (1975718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975718)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975718)Termination reason: Instruction limit
% 13.35/2.88 % (1975718)Termination phase: Saturation
% 13.35/2.88 % (1975718)Time elapsed: 1.068 s
% 13.35/2.88 % (1975718)Peak memory usage: 140 MB
% 13.35/2.88 % (1975718)Instructions burned: 2351 (million)
% 13.35/2.88 % (1975739)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=2145622323:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 13.35/2.88 % (1975740)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4213962390:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 13.35/2.88 % (1975697)First to succeed.
% 13.35/2.88 % (1975697)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1975690"
% 13.35/2.88 % (1975739)Instruction limit reached!
% 13.35/2.88 % (1975739)------------------------------
% 13.35/2.88 % (1975739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975739)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975739)Termination reason: Instruction limit
% 13.35/2.88 % (1975739)Termination phase: Saturation
% 13.35/2.88 % (1975739)Time elapsed: 0.082 s
% 13.35/2.88 % (1975739)Peak memory usage: 90 MB
% 13.35/2.88 % (1975739)Instructions burned: 125 (million)
% 13.35/2.88 % (1975740)Instruction limit reached!
% 13.35/2.88 % (1975740)------------------------------
% 13.35/2.88 % (1975740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975740)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975740)Termination reason: Instruction limit
% 13.35/2.88 % (1975740)Termination phase: Saturation
% 13.35/2.88 % (1975740)Time elapsed: 0.037 s
% 13.35/2.88 % (1975740)Peak memory usage: 89 MB
% 13.35/2.88 % (1975740)Instructions burned: 135 (million)
% 13.35/2.88 % (1975744)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=528076319:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/431Mi)
% 13.35/2.88 % (1975744)Refutation not found, incomplete strategy
% 13.35/2.88 % (1975744)------------------------------
% 13.35/2.88 % (1975744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975744)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975744)Termination reason: Refutation not found, incomplete strategy
% 13.35/2.88 % (1975744)Time elapsed: 0.002 s
% 13.35/2.88 % (1975744)Peak memory usage: 88 MB
% 13.35/2.88 % (1975744)Instructions burned: 4 (million)
% 13.35/2.88 % (1975731)Also succeeded, but the first one will report.
% 13.35/2.88 % (1975743)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=966288975:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 13.35/2.88 % (1975743)Instruction limit reached!
% 13.35/2.88 % (1975743)------------------------------
% 13.35/2.88 % (1975743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.88 % (1975743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.88 % (1975743)CaDiCaL version: 2.1.3
% 13.35/2.88 % (1975743)Termination reason: Instruction limit
% 13.35/2.88 % (1975743)Termination phase: Saturation
% 13.35/2.88 % (1975743)Time elapsed: 0.072 s
% 13.35/2.88 % (1975743)Peak memory usage: 92 MB
% 13.35/2.88 % (1975743)Instructions burned: 141 (million)
% 13.35/2.88 % (1975697)Refutation found. Thanks to Tanya!
% 13.35/2.88 % SZS status Theorem for theBenchmark
% 13.35/2.88 % SZS output start Proof for theBenchmark
% See solution above
% 14.95/3.08 % (1975697)------------------------------
% 14.95/3.08 % (1975697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.95/3.08 % (1975697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.95/3.08 % (1975697)CaDiCaL version: 2.1.3
% 14.95/3.08 % (1975697)Termination reason: Refutation
% 14.95/3.08 % (1975697)Time elapsed: 1.617 s
% 14.95/3.08 % (1975697)Peak memory usage: 143 MB
% 14.95/3.08 % (1975697)Instructions burned: 2429 (million)
% 14.95/3.08 % (1975697)------------------------------
% 14.95/3.08 % (1975697)------------------------------
% 14.95/3.08 % (1975690)Success in time 2.03 s
% 14.95/3.08 % Vampire exiting
%------------------------------------------------------------------------------