%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET743+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:41:48 PM UTC 2026
% Result : Theorem 4.51s 1.26s
% Output : Refutation 5.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 18
% Syntax : Number of formulae : 200 ( 28 unt; 12 def)
% Number of atoms : 783 ( 54 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1004 ( 421 ~; 449 |; 97 &)
% ( 21 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 11 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-5 aty)
% Number of variables : 368 ( 0 sgn 334 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X2)
& member(X6,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X6) )
=> X5 = X6 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f14,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( member(X5,X2)
& member(X6,X4) )
=> ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).
fof(f17,axiom,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X4,X5) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injective) ).
fof(f18,axiom,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X0,X4,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surjective) ).
fof(f19,axiom,
! [X0,X1,X2] :
( one_to_one(X0,X1,X2)
<=> ( injective(X0,X1,X2)
& surjective(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_to_one) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( maps(X0,X3,X4)
& maps(X1,X4,X5)
& maps(X2,X5,X3)
& one_to_one(compose_function(X1,X0,X3,X4,X5),X3,X5)
& one_to_one(compose_function(X2,X1,X4,X5,X3),X4,X3) )
=> one_to_one(X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII34) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( maps(X0,X3,X4)
& maps(X1,X4,X5)
& maps(X2,X5,X3)
& one_to_one(compose_function(X1,X0,X3,X4,X5),X3,X5)
& one_to_one(compose_function(X2,X1,X4,X5,X3),X4,X3) )
=> 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] :
( 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(f35,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,[],[f32]) ).
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(flattening,[],[f35]) ).
fof(f37,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(f38,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,[],[f37]) ).
fof(f39,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(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(flattening,[],[f39]) ).
fof(f41,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(f44,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)
& one_to_one(compose_function(X1,X0,X3,X4,X5),X3,X5)
& one_to_one(compose_function(X2,X1,X4,X5,X3),X4,X3) ),
inference(ennf_transformation,[],[f30]) ).
fof(f45,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)
& one_to_one(compose_function(X1,X0,X3,X4,X5),X3,X5)
& one_to_one(compose_function(X2,X1,X4,X5,X3),X4,X3) ),
inference(flattening,[],[f44]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( member(sK3(X0,X2,X3),X2)
& apply(X0,X3,sK3(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,[sK3]),skolemize(X4,sK3(X0,X2,X3))],[f36]) ).
fof(f66,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,[],[f38]) ).
fof(f67,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,[],[f66]) ).
fof(f68,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(sK4(X0,X1,X3,X5,X6),X3)
& apply(X1,X5,sK4(X0,X1,X3,X5,X6))
& apply(X0,sK4(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,[sK4]),skolemize(X8,sK4(X0,X1,X3,X5,X6))],[f67]) ).
fof(f69,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,[],[f40]) ).
fof(f70,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,[],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( injective(X0,X1,X2)
| ( sK5(X0,X1,X2) != sK6(X0,X1,X2)
& apply(X0,sK5(X0,X1,X2),sK7(X0,X1,X2))
& apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))
& member(sK5(X0,X1,X2),X1)
& member(sK6(X0,X1,X2),X1)
& member(sK7(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,[sK5,sK6,sK7]),skolemize(X3,sK5(X0,X1,X2)),skolemize(X4,sK6(X0,X1,X2)),skolemize(X5,sK7(X0,X1,X2))],[f70]) ).
fof(f72,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,[],[f41]) ).
fof(f73,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,[],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( surjective(X0,X1,X2)
| ( ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,sK8(X0,X1,X2)) )
& member(sK8(X0,X1,X2),X2) ) )
& ( ! [X5] :
( ( member(sK9(X0,X1,X5),X1)
& apply(X0,sK9(X0,X1,X5),X5) )
| ~ member(X5,X2) )
| ~ surjective(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X3,sK8(X0,X1,X2)),skolemize(X6,sK9(X0,X1,X5))],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( one_to_one(X0,X1,X2)
| ~ injective(X0,X1,X2)
| ~ surjective(X0,X1,X2) )
& ( ( injective(X0,X1,X2)
& surjective(X0,X1,X2) )
| ~ one_to_one(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( one_to_one(X0,X1,X2)
| ~ injective(X0,X1,X2)
| ~ surjective(X0,X1,X2) )
& ( ( injective(X0,X1,X2)
& surjective(X0,X1,X2) )
| ~ one_to_one(X0,X1,X2) ) ),
inference(flattening,[],[f75]) ).
fof(f92,plain,
( ~ one_to_one(sK15,sK18,sK19)
& maps(sK14,sK17,sK18)
& maps(sK15,sK18,sK19)
& maps(sK16,sK19,sK17)
& one_to_one(compose_function(sK15,sK14,sK17,sK18,sK19),sK17,sK19)
& one_to_one(compose_function(sK16,sK15,sK18,sK19,sK17),sK18,sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19]),skolemize(X0,sK14),skolemize(X1,sK15),skolemize(X2,sK16),skolemize(X3,sK17),skolemize(X4,sK18),skolemize(X5,sK19)],[f45]) ).
fof(f119,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK3(X0,X2,X3)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK3(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f122,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X0,sK4(X0,X1,X3,X5,X6),X6)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f68]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| member(sK4(X0,X1,X3,X5,X6),X3)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f68]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ apply(X1,X5,X7)
| ~ member(X7,X3)
| apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ apply(X0,X7,X6)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f68]) ).
fof(f126,plain,
! [X2,X0,X1,X8,X6,X7] :
( ~ injective(X0,X1,X2)
| ~ apply(X0,X6,X8)
| ~ apply(X0,X7,X8)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ member(X8,X2)
| X6 = X7 ),
inference(cnf_transformation,[],[f71]) ).
fof(f127,plain,
! [X2,X0,X1] :
( member(sK7(X0,X1,X2),X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f128,plain,
! [X2,X0,X1] :
( member(sK6(X0,X1,X2),X1)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f129,plain,
! [X2,X0,X1] :
( member(sK5(X0,X1,X2),X1)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f130,plain,
! [X2,X0,X1] :
( apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f131,plain,
! [X2,X0,X1] :
( apply(X0,sK5(X0,X1,X2),sK7(X0,X1,X2))
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f132,plain,
! [X2,X0,X1] :
( sK5(X0,X1,X2) != sK6(X0,X1,X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f133,plain,
! [X2,X0,X1,X5] :
( ~ surjective(X0,X1,X2)
| ~ member(X5,X2)
| apply(X0,sK9(X0,X1,X5),X5) ),
inference(cnf_transformation,[],[f74]) ).
fof(f134,plain,
! [X2,X0,X1,X5] :
( ~ surjective(X0,X1,X2)
| ~ member(X5,X2)
| member(sK9(X0,X1,X5),X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f135,plain,
! [X2,X0,X1] :
( member(sK8(X0,X1,X2),X2)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f136,plain,
! [X2,X0,X1,X4] :
( ~ apply(X0,X4,sK8(X0,X1,X2))
| ~ member(X4,X1)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ one_to_one(X0,X1,X2)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ one_to_one(X0,X1,X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ surjective(X0,X1,X2)
| ~ injective(X0,X1,X2)
| one_to_one(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f156,plain,
one_to_one(compose_function(sK16,sK15,sK18,sK19,sK17),sK18,sK17),
inference(cnf_transformation,[],[f92]) ).
fof(f157,plain,
one_to_one(compose_function(sK15,sK14,sK17,sK18,sK19),sK17,sK19),
inference(cnf_transformation,[],[f92]) ).
fof(f158,plain,
maps(sK16,sK19,sK17),
inference(cnf_transformation,[],[f92]) ).
fof(f159,plain,
maps(sK15,sK18,sK19),
inference(cnf_transformation,[],[f92]) ).
fof(f161,plain,
~ one_to_one(sK15,sK18,sK19),
inference(cnf_transformation,[],[f92]) ).
fof(f165,definition,
sF20 = compose_function(sK15,sK14,sK17,sK18,sK19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f166,plain,
compose_function(sK15,sK14,sK17,sK18,sK19) = sF20,
inference(reorient_equations,[],[f165]) ).
fof(f167,plain,
one_to_one(sF20,sK17,sK19),
inference(definition_folding,[],[f157,f166]) ).
fof(f168,definition,
sF21 = compose_function(sK16,sK15,sK18,sK19,sK17),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f169,plain,
compose_function(sK16,sK15,sK18,sK19,sK17) = sF21,
inference(reorient_equations,[],[f168]) ).
fof(f170,plain,
one_to_one(sF21,sK18,sK17),
inference(definition_folding,[],[f156,f169]) ).
fof(f172,plain,
surjective(sF20,sK17,sK19),
inference(resolution,[],[f167,f137]) ).
fof(f173,plain,
injective(sF21,sK18,sK17),
inference(resolution,[],[f170,f138]) ).
fof(f174,plain,
surjective(sF21,sK18,sK17),
inference(resolution,[],[f170,f137]) ).
fof(f180,plain,
! [X0,X1] :
( apply(sK15,sK4(sK15,sK14,sK18,X0,X1),X1)
| ~ apply(sF20,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK19) ),
inference(superposition,[],[f122,f166]) ).
fof(f182,plain,
! [X0,X1] :
( member(sK4(sK15,sK14,sK18,X0,X1),sK18)
| ~ apply(sF20,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK19) ),
inference(superposition,[],[f124,f166]) ).
fof(f193,plain,
! [X0] :
( apply(sK15,X0,sK3(sK15,sK19,X0))
| ~ member(X0,sK18) ),
inference(resolution,[],[f120,f159]) ).
fof(f195,plain,
! [X0] :
( apply(sK16,X0,sK3(sK16,sK17,X0))
| ~ member(X0,sK19) ),
inference(resolution,[],[f120,f158]) ).
fof(f198,plain,
! [X2,X3,X0,X1] :
( ~ member(sK3(sK15,sK19,X0),X3)
| ~ apply(sK15,X0,X1)
| sK3(sK15,sK19,X0) = X1
| ~ member(X0,X2)
| ~ member(X1,X3)
| ~ member(X0,sK18)
| ~ maps(sK15,X2,X3) ),
inference(resolution,[],[f193,f119]) ).
fof(f199,plain,
! [X2,X3,X0,X1,X4,X5] :
( apply(compose_function(X2,sK15,X3,X1,X4),X0,X5)
| ~ member(sK3(sK15,sK19,X0),X1)
| ~ member(X0,sK18)
| ~ apply(X2,sK3(sK15,sK19,X0),X5)
| ~ member(X0,X3)
| ~ member(X5,X4) ),
inference(resolution,[],[f193,f125]) ).
fof(f202,plain,
! [X2,X0,X1] :
( ~ member(sK4(sK15,sK14,sK18,X0,sK8(sK15,X1,X2)),X1)
| surjective(sK15,X1,X2)
| ~ apply(sF20,X0,sK8(sK15,X1,X2))
| ~ member(X0,sK17)
| ~ member(sK8(sK15,X1,X2),sK19) ),
inference(resolution,[],[f136,f180]) ).
fof(f204,plain,
! [X0,X1] :
( surjective(sK15,sK18,X0)
| ~ apply(sF20,X1,sK8(sK15,sK18,X0))
| ~ member(X1,sK17)
| ~ member(sK8(sK15,sK18,X0),sK19)
| ~ apply(sF20,X1,sK8(sK15,sK18,X0))
| ~ member(X1,sK17)
| ~ member(sK8(sK15,sK18,X0),sK19) ),
inference(resolution,[],[f202,f182]) ).
fof(f205,plain,
! [X0,X1] :
( ~ apply(sF20,X1,sK8(sK15,sK18,X0))
| surjective(sK15,sK18,X0)
| ~ member(X1,sK17)
| ~ member(sK8(sK15,sK18,X0),sK19) ),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ apply(sF21,X2,X1)
| ~ apply(sF21,X0,X1)
| ~ member(X0,sK18)
| ~ member(X2,sK18)
| ~ member(X1,sK17)
| X0 = X2 ),
inference(resolution,[],[f126,f173]) ).
fof(f208,plain,
! [X0] :
( apply(sF20,sK9(sF20,sK17,X0),X0)
| ~ member(X0,sK19) ),
inference(resolution,[],[f133,f172]) ).
fof(f209,plain,
! [X0] :
( apply(sF21,sK9(sF21,sK18,X0),X0)
| ~ member(X0,sK17) ),
inference(resolution,[],[f133,f174]) ).
fof(f210,plain,
! [X0] :
( ~ member(sK8(sK15,sK18,X0),sK19)
| surjective(sK15,sK18,X0)
| ~ member(sK9(sF20,sK17,sK8(sK15,sK18,X0)),sK17)
| ~ member(sK8(sK15,sK18,X0),sK19) ),
inference(resolution,[],[f208,f205]) ).
fof(f216,plain,
! [X0] :
( ~ member(sK9(sF20,sK17,sK8(sK15,sK18,X0)),sK17)
| surjective(sK15,sK18,X0)
| ~ member(sK8(sK15,sK18,X0),sK19) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f217,plain,
! [X0,X1] :
( ~ member(X0,sK17)
| ~ apply(sF21,X1,X0)
| ~ member(X1,sK18)
| ~ member(sK9(sF21,sK18,X0),sK18)
| ~ member(X0,sK17)
| sK9(sF21,sK18,X0) = X1 ),
inference(resolution,[],[f209,f207]) ).
fof(f221,plain,
! [X0,X1] :
( ~ member(sK9(sF21,sK18,X0),sK18)
| ~ apply(sF21,X1,X0)
| ~ member(X1,sK18)
| ~ member(X0,sK17)
| sK9(sF21,sK18,X0) = X1 ),
inference(duplicate_literal_removal,[],[f217]) ).
fof(f239,plain,
! [X0,X1] :
( apply(sF21,X0,X1)
| ~ member(sK3(sK15,sK19,X0),sK19)
| ~ member(X0,sK18)
| ~ apply(sK16,sK3(sK15,sK19,X0),X1)
| ~ member(X0,sK18)
| ~ member(X1,sK17) ),
inference(superposition,[],[f199,f169]) ).
fof(f240,plain,
! [X0,X1] :
( ~ apply(sK16,sK3(sK15,sK19,X0),X1)
| ~ member(sK3(sK15,sK19,X0),sK19)
| ~ member(X0,sK18)
| apply(sF21,X0,X1)
| ~ member(X1,sK17) ),
inference(duplicate_literal_removal,[],[f239]) ).
fof(f267,plain,
! [X0] :
( member(sK3(sK15,sK19,X0),sK19)
| ~ member(X0,sK18) ),
inference(resolution,[],[f121,f159]) ).
fof(f269,plain,
! [X0] :
( member(sK3(sK16,sK17,X0),sK17)
| ~ member(X0,sK19) ),
inference(resolution,[],[f121,f158]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ member(X0,sK18)
| ~ apply(sK15,X0,X1)
| sK3(sK15,sK19,X0) = X1
| ~ member(X0,X2)
| ~ member(X1,sK19)
| ~ member(X0,sK18)
| ~ maps(sK15,X2,sK19) ),
inference(resolution,[],[f267,f198]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ apply(sK15,X0,X1)
| ~ member(X0,sK18)
| sK3(sK15,sK19,X0) = X1
| ~ member(X0,X2)
| ~ member(X1,sK19)
| ~ maps(sK15,X2,sK19) ),
inference(duplicate_literal_removal,[],[f272]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ member(sK7(sK15,X0,X1),sK19)
| sK3(sK15,sK19,sK6(sK15,X0,X1)) = sK7(sK15,X0,X1)
| ~ member(sK6(sK15,X0,X1),X2)
| ~ member(sK6(sK15,X0,X1),sK18)
| ~ maps(sK15,X2,sK19)
| injective(sK15,X0,X1) ),
inference(resolution,[],[f273,f130]) ).
fof(f278,plain,
! [X2,X0,X1] :
( ~ member(sK7(sK15,X0,X1),sK19)
| sK7(sK15,X0,X1) = sK3(sK15,sK19,sK5(sK15,X0,X1))
| ~ member(sK5(sK15,X0,X1),X2)
| ~ member(sK5(sK15,X0,X1),sK18)
| ~ maps(sK15,X2,sK19)
| injective(sK15,X0,X1) ),
inference(resolution,[],[f273,f131]) ).
fof(f322,plain,
! [X0,X1] :
( sK7(sK15,X0,sK19) = sK3(sK15,sK19,sK5(sK15,X0,sK19))
| ~ member(sK5(sK15,X0,sK19),X1)
| ~ member(sK5(sK15,X0,sK19),sK18)
| ~ maps(sK15,X1,sK19)
| injective(sK15,X0,sK19)
| injective(sK15,X0,sK19) ),
inference(resolution,[],[f278,f127]) ).
fof(f323,plain,
! [X0,X1] :
( ~ member(sK5(sK15,X0,sK19),sK18)
| ~ member(sK5(sK15,X0,sK19),X1)
| sK7(sK15,X0,sK19) = sK3(sK15,sK19,sK5(sK15,X0,sK19))
| ~ maps(sK15,X1,sK19)
| injective(sK15,X0,sK19) ),
inference(duplicate_literal_removal,[],[f322]) ).
fof(f324,plain,
! [X0] :
( ~ member(sK5(sK15,sK18,sK19),X0)
| sK7(sK15,sK18,sK19) = sK3(sK15,sK19,sK5(sK15,sK18,sK19))
| ~ maps(sK15,X0,sK19)
| injective(sK15,sK18,sK19)
| injective(sK15,sK18,sK19) ),
inference(resolution,[],[f323,f129]) ).
fof(f325,plain,
! [X0] :
( ~ member(sK5(sK15,sK18,sK19),X0)
| sK7(sK15,sK18,sK19) = sK3(sK15,sK19,sK5(sK15,sK18,sK19))
| ~ maps(sK15,X0,sK19)
| injective(sK15,sK18,sK19) ),
inference(duplicate_literal_removal,[],[f324]) ).
fof(f327,definition,
( spl22_1
<=> injective(sK15,sK18,sK19) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f328,plain,
( ~ injective(sK15,sK18,sK19)
| spl22_1 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f329,plain,
( injective(sK15,sK18,sK19)
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl22_2
<=> sK7(sK15,sK18,sK19) = sK3(sK15,sK19,sK5(sK15,sK18,sK19)) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f333,plain,
( sK7(sK15,sK18,sK19) = sK3(sK15,sK19,sK5(sK15,sK18,sK19))
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl22_3
<=> ! [X0] :
( ~ member(sK5(sK15,sK18,sK19),X0)
| ~ maps(sK15,X0,sK19) ) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f336,plain,
( ! [X0] :
( ~ member(sK5(sK15,sK18,sK19),X0)
| ~ maps(sK15,X0,sK19) )
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f337,plain,
( spl22_1
| spl22_2
| spl22_3 ),
inference(avatar_split_clause,[],[f325,f335,f331,f327]) ).
fof(f338,plain,
( member(sK7(sK15,sK18,sK19),sK19)
| ~ member(sK5(sK15,sK18,sK19),sK18)
| ~ spl22_2 ),
inference(superposition,[],[f267,f333]) ).
fof(f342,definition,
( spl22_4
<=> member(sK5(sK15,sK18,sK19),sK18) ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f343,plain,
( member(sK5(sK15,sK18,sK19),sK18)
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f344,plain,
( ~ member(sK5(sK15,sK18,sK19),sK18)
| spl22_4 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f355,definition,
( spl22_7
<=> member(sK7(sK15,sK18,sK19),sK19) ),
introduced(definition,[new_symbols(definition,[spl22_7])],[avatar_definition]) ).
fof(f357,plain,
( member(sK7(sK15,sK18,sK19),sK19)
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f358,plain,
( ~ spl22_4
| spl22_7
| ~ spl22_2 ),
inference(avatar_split_clause,[],[f338,f331,f355,f342]) ).
fof(f359,plain,
( injective(sK15,sK18,sK19)
| spl22_4 ),
inference(resolution,[],[f344,f129]) ).
fof(f360,plain,
( spl22_1
| spl22_4 ),
inference(avatar_split_clause,[],[f359,f342,f327]) ).
fof(f390,plain,
! [X0,X1] :
( sK7(sK15,X0,sK19) = sK3(sK15,sK19,sK6(sK15,X0,sK19))
| ~ member(sK6(sK15,X0,sK19),X1)
| ~ member(sK6(sK15,X0,sK19),sK18)
| ~ maps(sK15,X1,sK19)
| injective(sK15,X0,sK19)
| injective(sK15,X0,sK19) ),
inference(resolution,[],[f277,f127]) ).
fof(f391,plain,
! [X0,X1] :
( ~ member(sK6(sK15,X0,sK19),sK18)
| ~ member(sK6(sK15,X0,sK19),X1)
| sK7(sK15,X0,sK19) = sK3(sK15,sK19,sK6(sK15,X0,sK19))
| ~ maps(sK15,X1,sK19)
| injective(sK15,X0,sK19) ),
inference(duplicate_literal_removal,[],[f390]) ).
fof(f392,plain,
! [X0] :
( ~ member(sK6(sK15,sK18,sK19),X0)
| sK7(sK15,sK18,sK19) = sK3(sK15,sK19,sK6(sK15,sK18,sK19))
| ~ maps(sK15,X0,sK19)
| injective(sK15,sK18,sK19)
| injective(sK15,sK18,sK19) ),
inference(resolution,[],[f391,f128]) ).
fof(f393,plain,
! [X0] :
( ~ member(sK6(sK15,sK18,sK19),X0)
| sK7(sK15,sK18,sK19) = sK3(sK15,sK19,sK6(sK15,sK18,sK19))
| ~ maps(sK15,X0,sK19)
| injective(sK15,sK18,sK19) ),
inference(duplicate_literal_removal,[],[f392]) ).
fof(f404,plain,
! [X0] :
( member(sK9(sF20,sK17,X0),sK17)
| ~ member(X0,sK19) ),
inference(resolution,[],[f134,f172]) ).
fof(f405,plain,
! [X0] :
( member(sK9(sF21,sK18,X0),sK18)
| ~ member(X0,sK17) ),
inference(resolution,[],[f134,f174]) ).
fof(f410,plain,
! [X0] :
( ~ member(sK8(sK15,sK18,X0),sK19)
| surjective(sK15,sK18,X0)
| ~ member(sK8(sK15,sK18,X0),sK19) ),
inference(resolution,[],[f404,f216]) ).
fof(f415,plain,
! [X0] :
( ~ member(sK8(sK15,sK18,X0),sK19)
| surjective(sK15,sK18,X0) ),
inference(duplicate_literal_removal,[],[f410]) ).
fof(f416,plain,
( surjective(sK15,sK18,sK19)
| surjective(sK15,sK18,sK19) ),
inference(resolution,[],[f415,f135]) ).
fof(f417,plain,
surjective(sK15,sK18,sK19),
inference(duplicate_literal_removal,[],[f416]) ).
fof(f420,plain,
( ~ injective(sK15,sK18,sK19)
| one_to_one(sK15,sK18,sK19) ),
inference(resolution,[],[f417,f139]) ).
fof(f421,plain,
( one_to_one(sK15,sK18,sK19)
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f420,f329]) ).
fof(f422,plain,
( $false
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f421,f161]) ).
fof(f423,plain,
~ spl22_1,
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f424,plain,
( ! [X0] :
( ~ member(sK6(sK15,sK18,sK19),X0)
| sK7(sK15,sK18,sK19) = sK3(sK15,sK19,sK6(sK15,sK18,sK19))
| ~ maps(sK15,X0,sK19) )
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f393,f328]) ).
fof(f426,definition,
( spl22_8
<=> sK7(sK15,sK18,sK19) = sK3(sK15,sK19,sK6(sK15,sK18,sK19)) ),
introduced(definition,[new_symbols(definition,[spl22_8])],[avatar_definition]) ).
fof(f428,plain,
( sK7(sK15,sK18,sK19) = sK3(sK15,sK19,sK6(sK15,sK18,sK19))
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f430,definition,
( spl22_9
<=> ! [X0] :
( ~ member(sK6(sK15,sK18,sK19),X0)
| ~ maps(sK15,X0,sK19) ) ),
introduced(definition,[new_symbols(definition,[spl22_9])],[avatar_definition]) ).
fof(f431,plain,
( ! [X0] :
( ~ member(sK6(sK15,sK18,sK19),X0)
| ~ maps(sK15,X0,sK19) )
| ~ spl22_9 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f432,plain,
( spl22_8
| spl22_9
| spl22_1 ),
inference(avatar_split_clause,[],[f424,f327,f430,f426]) ).
fof(f437,definition,
( spl22_10
<=> member(sK6(sK15,sK18,sK19),sK18) ),
introduced(definition,[new_symbols(definition,[spl22_10])],[avatar_definition]) ).
fof(f438,plain,
( member(sK6(sK15,sK18,sK19),sK18)
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f439,plain,
( ~ member(sK6(sK15,sK18,sK19),sK18)
| spl22_10 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f455,plain,
( injective(sK15,sK18,sK19)
| spl22_10 ),
inference(resolution,[],[f439,f128]) ).
fof(f456,plain,
( $false
| spl22_1
| spl22_10 ),
inference(forward_subsumption_resolution,[],[f455,f328]) ).
fof(f457,plain,
( spl22_1
| spl22_10 ),
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f458,plain,
( ~ maps(sK15,sK18,sK19)
| injective(sK15,sK18,sK19)
| ~ spl22_9 ),
inference(resolution,[],[f431,f128]) ).
fof(f459,plain,
( injective(sK15,sK18,sK19)
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f458,f159]) ).
fof(f460,plain,
( $false
| spl22_1
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f459,f328]) ).
fof(f461,plain,
( spl22_1
| ~ spl22_9 ),
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f559,plain,
! [X0,X1] :
( ~ apply(sF21,X0,X1)
| ~ member(X0,sK18)
| ~ member(X1,sK17)
| sK9(sF21,sK18,X1) = X0
| ~ member(X1,sK17) ),
inference(resolution,[],[f221,f405]) ).
fof(f560,plain,
! [X0,X1] :
( ~ apply(sF21,X0,X1)
| ~ member(X0,sK18)
| ~ member(X1,sK17)
| sK9(sF21,sK18,X1) = X0 ),
inference(duplicate_literal_removal,[],[f559]) ).
fof(f575,plain,
( ~ maps(sK15,sK18,sK19)
| injective(sK15,sK18,sK19)
| ~ spl22_3 ),
inference(resolution,[],[f336,f129]) ).
fof(f579,plain,
( injective(sK15,sK18,sK19)
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f575,f159]) ).
fof(f580,plain,
( $false
| spl22_1
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f579,f328]) ).
fof(f581,plain,
( spl22_1
| ~ spl22_3 ),
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f654,plain,
( ! [X0] :
( ~ apply(sK16,sK7(sK15,sK18,sK19),X0)
| ~ member(sK7(sK15,sK18,sK19),sK19)
| ~ member(sK5(sK15,sK18,sK19),sK18)
| apply(sF21,sK5(sK15,sK18,sK19),X0)
| ~ member(X0,sK17) )
| ~ spl22_2 ),
inference(superposition,[],[f240,f333]) ).
fof(f655,plain,
( ! [X0] :
( ~ apply(sK16,sK7(sK15,sK18,sK19),X0)
| ~ member(sK7(sK15,sK18,sK19),sK19)
| ~ member(sK6(sK15,sK18,sK19),sK18)
| apply(sF21,sK6(sK15,sK18,sK19),X0)
| ~ member(X0,sK17) )
| ~ spl22_8 ),
inference(superposition,[],[f240,f428]) ).
fof(f659,plain,
( ! [X0] :
( ~ apply(sK16,sK7(sK15,sK18,sK19),X0)
| ~ member(sK6(sK15,sK18,sK19),sK18)
| apply(sF21,sK6(sK15,sK18,sK19),X0)
| ~ member(X0,sK17) )
| ~ spl22_7
| ~ spl22_8 ),
inference(forward_subsumption_resolution,[],[f655,f357]) ).
fof(f660,plain,
( ! [X0] :
( ~ apply(sK16,sK7(sK15,sK18,sK19),X0)
| ~ member(sK5(sK15,sK18,sK19),sK18)
| apply(sF21,sK5(sK15,sK18,sK19),X0)
| ~ member(X0,sK17) )
| ~ spl22_2
| ~ spl22_7 ),
inference(forward_subsumption_resolution,[],[f654,f357]) ).
fof(f663,plain,
( ! [X0] :
( ~ apply(sK16,sK7(sK15,sK18,sK19),X0)
| apply(sF21,sK6(sK15,sK18,sK19),X0)
| ~ member(X0,sK17) )
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10 ),
inference(forward_subsumption_resolution,[],[f659,f438]) ).
fof(f664,plain,
( ! [X0] :
( ~ apply(sK16,sK7(sK15,sK18,sK19),X0)
| apply(sF21,sK5(sK15,sK18,sK19),X0)
| ~ member(X0,sK17) )
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7 ),
inference(forward_subsumption_resolution,[],[f660,f343]) ).
fof(f666,plain,
( apply(sF21,sK5(sK15,sK18,sK19),sK3(sK16,sK17,sK7(sK15,sK18,sK19)))
| ~ member(sK3(sK16,sK17,sK7(sK15,sK18,sK19)),sK17)
| ~ member(sK7(sK15,sK18,sK19),sK19)
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7 ),
inference(resolution,[],[f664,f195]) ).
fof(f667,plain,
( apply(sF21,sK5(sK15,sK18,sK19),sK3(sK16,sK17,sK7(sK15,sK18,sK19)))
| ~ member(sK7(sK15,sK18,sK19),sK19)
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7 ),
inference(forward_subsumption_resolution,[],[f666,f269]) ).
fof(f668,plain,
( apply(sF21,sK5(sK15,sK18,sK19),sK3(sK16,sK17,sK7(sK15,sK18,sK19)))
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7 ),
inference(forward_subsumption_resolution,[],[f667,f357]) ).
fof(f670,plain,
( ~ member(sK5(sK15,sK18,sK19),sK18)
| ~ member(sK3(sK16,sK17,sK7(sK15,sK18,sK19)),sK17)
| sK5(sK15,sK18,sK19) = sK9(sF21,sK18,sK3(sK16,sK17,sK7(sK15,sK18,sK19)))
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7 ),
inference(resolution,[],[f668,f560]) ).
fof(f682,definition,
( spl22_24
<=> member(sK3(sK16,sK17,sK7(sK15,sK18,sK19)),sK17) ),
introduced(definition,[new_symbols(definition,[spl22_24])],[avatar_definition]) ).
fof(f683,plain,
( member(sK3(sK16,sK17,sK7(sK15,sK18,sK19)),sK17)
| ~ spl22_24 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f684,plain,
( ~ member(sK3(sK16,sK17,sK7(sK15,sK18,sK19)),sK17)
| spl22_24 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f689,plain,
( ~ member(sK3(sK16,sK17,sK7(sK15,sK18,sK19)),sK17)
| sK5(sK15,sK18,sK19) = sK9(sF21,sK18,sK3(sK16,sK17,sK7(sK15,sK18,sK19)))
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7 ),
inference(forward_subsumption_resolution,[],[f670,f343]) ).
fof(f702,definition,
( spl22_27
<=> sK5(sK15,sK18,sK19) = sK9(sF21,sK18,sK3(sK16,sK17,sK7(sK15,sK18,sK19))) ),
introduced(definition,[new_symbols(definition,[spl22_27])],[avatar_definition]) ).
fof(f704,plain,
( sK5(sK15,sK18,sK19) = sK9(sF21,sK18,sK3(sK16,sK17,sK7(sK15,sK18,sK19)))
| ~ spl22_27 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f705,plain,
( spl22_27
| ~ spl22_24
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7 ),
inference(avatar_split_clause,[],[f689,f355,f342,f331,f682,f702]) ).
fof(f711,plain,
( apply(sF21,sK6(sK15,sK18,sK19),sK3(sK16,sK17,sK7(sK15,sK18,sK19)))
| ~ member(sK3(sK16,sK17,sK7(sK15,sK18,sK19)),sK17)
| ~ member(sK7(sK15,sK18,sK19),sK19)
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10 ),
inference(resolution,[],[f663,f195]) ).
fof(f712,plain,
( ~ member(sK7(sK15,sK18,sK19),sK19)
| spl22_24 ),
inference(resolution,[],[f684,f269]) ).
fof(f713,plain,
( $false
| ~ spl22_7
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f712,f357]) ).
fof(f714,plain,
( ~ spl22_7
| spl22_24 ),
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f716,plain,
( apply(sF21,sK6(sK15,sK18,sK19),sK3(sK16,sK17,sK7(sK15,sK18,sK19)))
| ~ member(sK7(sK15,sK18,sK19),sK19)
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10 ),
inference(forward_subsumption_resolution,[],[f711,f269]) ).
fof(f717,plain,
( apply(sF21,sK6(sK15,sK18,sK19),sK3(sK16,sK17,sK7(sK15,sK18,sK19)))
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10 ),
inference(forward_subsumption_resolution,[],[f716,f357]) ).
fof(f726,plain,
( ~ member(sK6(sK15,sK18,sK19),sK18)
| ~ member(sK3(sK16,sK17,sK7(sK15,sK18,sK19)),sK17)
| sK6(sK15,sK18,sK19) = sK9(sF21,sK18,sK3(sK16,sK17,sK7(sK15,sK18,sK19)))
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10 ),
inference(resolution,[],[f717,f560]) ).
fof(f737,plain,
( ~ member(sK3(sK16,sK17,sK7(sK15,sK18,sK19)),sK17)
| sK6(sK15,sK18,sK19) = sK9(sF21,sK18,sK3(sK16,sK17,sK7(sK15,sK18,sK19)))
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10 ),
inference(forward_subsumption_resolution,[],[f726,f438]) ).
fof(f742,plain,
( sK6(sK15,sK18,sK19) = sK9(sF21,sK18,sK3(sK16,sK17,sK7(sK15,sK18,sK19)))
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f737,f683]) ).
fof(f745,plain,
( sK5(sK15,sK18,sK19) = sK6(sK15,sK18,sK19)
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_24
| ~ spl22_27 ),
inference(forward_demodulation,[],[f742,f704]) ).
fof(f758,plain,
( sK5(sK15,sK18,sK19) != sK5(sK15,sK18,sK19)
| injective(sK15,sK18,sK19)
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_24
| ~ spl22_27 ),
inference(superposition,[],[f132,f745]) ).
fof(f760,plain,
( injective(sK15,sK18,sK19)
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_24
| ~ spl22_27 ),
inference(trivial_inequality_removal,[],[f758]) ).
fof(f761,plain,
( $false
| spl22_1
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_24
| ~ spl22_27 ),
inference(forward_subsumption_resolution,[],[f760,f328]) ).
fof(f762,plain,
( spl22_1
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_24
| ~ spl22_27 ),
inference(avatar_contradiction_clause,[],[f761]) ).
cnf(s1,plain,
( spl22_1
| spl22_2
| spl22_3 ),
inference(sat_conversion,[],[f337]) ).
cnf(s4,plain,
( ~ spl22_2
| ~ spl22_4
| spl22_7 ),
inference(sat_conversion,[],[f358]) ).
cnf(s5,plain,
( spl22_1
| spl22_4 ),
inference(sat_conversion,[],[f360]) ).
cnf(s6,plain,
~ spl22_1,
inference(sat_conversion,[],[f423]) ).
cnf(s7,plain,
( spl22_1
| spl22_8
| spl22_9 ),
inference(sat_conversion,[],[f432]) ).
cnf(s10,plain,
( spl22_1
| spl22_10 ),
inference(sat_conversion,[],[f457]) ).
cnf(s11,plain,
( spl22_1
| ~ spl22_9 ),
inference(sat_conversion,[],[f461]) ).
cnf(s18,plain,
( spl22_1
| ~ spl22_3 ),
inference(sat_conversion,[],[f581]) ).
cnf(s25,plain,
( ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_24
| spl22_27 ),
inference(sat_conversion,[],[f705]) ).
cnf(s28,plain,
( ~ spl22_7
| spl22_24 ),
inference(sat_conversion,[],[f714]) ).
cnf(s29,plain,
( spl22_1
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_24
| ~ spl22_27 ),
inference(sat_conversion,[],[f762]) ).
cnf(s30,plain,
~ spl22_3,
inference(rat,[],[s18,s6]) ).
cnf(s31,plain,
~ spl22_9,
inference(rat,[],[s11,s6]) ).
cnf(s32,plain,
spl22_10,
inference(rat,[],[s10,s6]) ).
cnf(s33,plain,
spl22_8,
inference(rat,[],[s7,s31,s6]) ).
cnf(s36,plain,
spl22_4,
inference(rat,[],[s5,s6]) ).
cnf(s37,plain,
( ~ spl22_2
| spl22_7 ),
inference(rat,[],[s4,s36]) ).
cnf(s40,plain,
spl22_2,
inference(rat,[],[s1,s30,s6]) ).
cnf(s41,plain,
spl22_7,
inference(rat,[],[s37,s40]) ).
cnf(s44,plain,
spl22_24,
inference(rat,[],[s28,s41]) ).
cnf(s49,plain,
~ spl22_27,
inference(rat,[],[s29,s41,s33,s32,s6,s44]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s25,s41,s40,s36,s49,s44]) ).
fof(f763,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET743+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Mon Sep 28 02:41:09 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.51/1.26 % (2959851)Detected formulas, will run a generic FOF schedule.
% 4.51/1.26 % (2959858)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=4859872:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.51/1.26 % (2959862)dis-21_1_sil=8000:lcm=predicate:random_seed=2696948513: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)
% 4.51/1.26 % (2959856)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=2894048944:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.51/1.26 % (2959857)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=3381840788:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.51/1.26 % (2959859)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=195038100:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.51/1.26 % (2959860)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1515336977:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.51/1.26 % (2959861)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3016480070:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.51/1.26 % (2959859)Refutation not found, incomplete strategy
% 4.51/1.26 % (2959859)------------------------------
% 4.51/1.26 % (2959859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.26 % (2959859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.26 % (2959859)CaDiCaL version: 2.1.3
% 4.51/1.26 % (2959859)Termination reason: Refutation not found, incomplete strategy
% 4.51/1.26 % (2959859)Time elapsed: 0.002 s
% 4.51/1.26 % (2959859)Peak memory usage: 88 MB
% 4.51/1.26 % (2959859)Instructions burned: 3 (million)
% 4.51/1.26 % (2959862)Instruction limit reached!
% 4.51/1.26 % (2959862)------------------------------
% 4.51/1.26 % (2959862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.26 % (2959862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.26 % (2959862)CaDiCaL version: 2.1.3
% 4.51/1.26 % (2959862)Termination reason: Instruction limit
% 4.51/1.26 % (2959862)Termination phase: Saturation
% 4.51/1.26 % (2959862)Time elapsed: 0.029 s
% 4.51/1.26 % (2959862)Peak memory usage: 89 MB
% 4.51/1.26 % (2959862)Instructions burned: 133 (million)
% 4.51/1.26 % (2959860)Instruction limit reached!
% 4.51/1.26 % (2959860)------------------------------
% 4.51/1.26 % (2959860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.26 % (2959860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.26 % (2959860)CaDiCaL version: 2.1.3
% 4.51/1.26 % (2959860)Termination reason: Instruction limit
% 4.51/1.26 % (2959860)Termination phase: Saturation
% 4.51/1.26 % (2959860)Time elapsed: 0.031 s
% 4.51/1.26 % (2959860)Peak memory usage: 88 MB
% 4.51/1.26 % (2959860)Instructions burned: 119 (million)
% 4.51/1.26 % (2959861)Instruction limit reached!
% 4.51/1.26 % (2959861)------------------------------
% 4.51/1.26 % (2959861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.26 % (2959861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.26 % (2959861)CaDiCaL version: 2.1.3
% 4.51/1.26 % (2959861)Termination reason: Instruction limit
% 4.51/1.26 % (2959861)Termination phase: Saturation
% 4.51/1.26 % (2959861)Time elapsed: 0.052 s
% 4.51/1.26 % (2959861)Peak memory usage: 89 MB
% 4.51/1.26 % (2959861)Instructions burned: 142 (million)
% 4.51/1.26 % (2959871)lrs+10_1_sil=32000:urr=on:br=off:random_seed=992601077:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.51/1.26 % (2959870)lrs+10_1_sil=8000:sp=occurrence:random_seed=586399679:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.51/1.26 % (2959871)Refutation not found, incomplete strategy
% 4.51/1.26 % (2959871)------------------------------
% 4.51/1.26 % (2959871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.26 % (2959871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.26 % (2959871)CaDiCaL version: 2.1.3
% 4.51/1.26 % (2959871)Termination reason: Refutation not found, incomplete strategy
% 4.51/1.26 % (2959871)Time elapsed: 0.001 s
% 4.51/1.26 % (2959871)Peak memory usage: 88 MB
% 4.51/1.26 % (2959871)Instructions burned: 2 (million)
% 4.51/1.26 % (2959859)------------------------------
% 4.51/1.26 % (2959859)------------------------------
% 4.51/1.26 % (2959872)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1709037529:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.51/1.26 % (2959870)Instruction limit reached!
% 4.51/1.26 % (2959870)------------------------------
% 4.51/1.26 % (2959870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.26 % (2959870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.26 % (2959870)CaDiCaL version: 2.1.3
% 4.51/1.26 % (2959870)Termination reason: Instruction limit
% 4.51/1.26 % (2959870)Termination phase: Saturation
% 4.51/1.26 % (2959870)Time elapsed: 0.086 s
% 4.51/1.26 % (2959870)Peak memory usage: 92 MB
% 4.51/1.26 % (2959870)Instructions burned: 285 (million)
% 4.51/1.26 % (2959872)Instruction limit reached!
% 4.51/1.26 % (2959872)------------------------------
% 4.51/1.26 % (2959872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.26 % (2959872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.26 % (2959872)CaDiCaL version: 2.1.3
% 4.51/1.26 % (2959872)Termination reason: Instruction limit
% 4.51/1.26 % (2959872)Termination phase: Saturation
% 4.51/1.26 % (2959872)Time elapsed: 0.091 s
% 4.51/1.26 % (2959872)Peak memory usage: 91 MB
% 4.51/1.26 % (2959872)Instructions burned: 327 (million)
% 4.51/1.26 % (2959875)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=3062022557:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.51/1.26 % (2959871)------------------------------
% 4.51/1.26 % (2959871)------------------------------
% 4.51/1.26 % (2959877)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=868216737:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.51/1.26 % (2959875)Instruction limit reached!
% 4.51/1.26 % (2959875)------------------------------
% 4.51/1.26 % (2959875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.26 % (2959875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.26 % (2959875)CaDiCaL version: 2.1.3
% 4.51/1.26 % (2959875)Termination reason: Instruction limit
% 4.51/1.26 % (2959875)Termination phase: Saturation
% 4.51/1.26 % (2959875)Time elapsed: 0.072 s
% 4.51/1.26 % (2959875)Peak memory usage: 92 MB
% 4.51/1.26 % (2959875)Instructions burned: 250 (million)
% 4.51/1.26 % (2959878)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=161838288:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.51/1.26 % (2959856)First to succeed.
% 4.51/1.26 % (2959856)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2959851"
% 4.51/1.26 % (2959880)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3084676888:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.51/1.26 % (2959877)Instruction limit reached!
% 4.51/1.26 % (2959877)------------------------------
% 4.51/1.26 % (2959877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.26 % (2959877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.26 % (2959877)CaDiCaL version: 2.1.3
% 4.51/1.26 % (2959877)Termination reason: Instruction limit
% 4.51/1.26 % (2959877)Termination phase: Saturation
% 4.51/1.26 % (2959877)Time elapsed: 0.090 s
% 4.51/1.26 % (2959877)Peak memory usage: 89 MB
% 4.51/1.26 % (2959877)Instructions burned: 294 (million)
% 4.51/1.26 % (2959880)Instruction limit reached!
% 4.51/1.26 % (2959880)------------------------------
% 4.51/1.26 % (2959880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.26 % (2959880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.26 % (2959880)CaDiCaL version: 2.1.3
% 4.51/1.26 % (2959880)Termination reason: Instruction limit
% 4.51/1.26 % (2959880)Termination phase: Saturation
% 4.51/1.26 % (2959880)Time elapsed: 0.041 s
% 4.51/1.26 % (2959880)Peak memory usage: 89 MB
% 4.51/1.26 % (2959880)Instructions burned: 113 (million)
% 4.51/1.26 % (2959883)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3614484256:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.51/1.26 % (2959883)Instruction limit reached!
% 4.51/1.26 % (2959883)------------------------------
% 4.51/1.26 % (2959883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.26 % (2959883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.26 % (2959883)CaDiCaL version: 2.1.3
% 4.51/1.26 % (2959883)Termination reason: Instruction limit
% 4.51/1.26 % (2959883)Termination phase: Saturation
% 4.51/1.26 % (2959883)Time elapsed: 0.038 s
% 4.51/1.26 % (2959883)Peak memory usage: 89 MB
% 4.51/1.26 % (2959883)Instructions burned: 131 (million)
% 4.51/1.26 % (2959885)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1092860243:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.51/1.26 % (2959856)Refutation found. Thanks to Tanya!
% 4.51/1.26 % SZS status Theorem for theBenchmark
% 4.51/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 5.30/1.35 % (2959856)------------------------------
% 5.30/1.35 % (2959856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.35 % (2959856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.35 % (2959856)CaDiCaL version: 2.1.3
% 5.30/1.35 % (2959856)Termination reason: Refutation
% 5.30/1.35 % (2959856)Time elapsed: 0.430 s
% 5.30/1.35 % (2959856)Peak memory usage: 129 MB
% 5.30/1.35 % (2959856)Instructions burned: 1129 (million)
% 5.30/1.35 % (2959856)------------------------------
% 5.30/1.35 % (2959856)------------------------------
% 5.30/1.35 % (2959851)Success in time 0.728 s
% 5.30/1.35 % Vampire exiting
%------------------------------------------------------------------------------