%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET744+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:41:48 PM UTC 2026
% Result : Theorem 8.05s 1.95s
% Output : Refutation 9.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 20
% Syntax : Number of formulae : 263 ( 31 unt; 14 def)
% Number of atoms : 1076 ( 92 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1457 ( 644 ~; 677 |; 97 &)
% ( 23 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 13 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-5 aty)
% Number of variables : 431 ( 0 sgn 397 !; 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(X2,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII35) ).
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(X2,X5,X3) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X6,X2)
& member(X7,X2) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X5,X7) )
=> X6 = X7 ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f32,plain,
! [X0,X1,X2] :
( 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(X2,X5,X3)
& 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(X2,X5,X3)
& 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(sK16,sK19,sK17)
& 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(f123,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X1,X5,sK4(X0,X1,X3,X5,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(sK16,sK19,sK17),
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(f178,plain,
! [X0,X1] :
( apply(sK15,X0,sK4(sK16,sK15,sK19,X0,X1))
| ~ apply(sF21,X0,X1)
| ~ member(X0,sK18)
| ~ member(X1,sK17) ),
inference(superposition,[],[f123,f169]) ).
fof(f179,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(f180,plain,
! [X0,X1] :
( apply(sK16,sK4(sK16,sK15,sK19,X0,X1),X1)
| ~ apply(sF21,X0,X1)
| ~ member(X0,sK18)
| ~ member(X1,sK17) ),
inference(superposition,[],[f122,f169]) ).
fof(f181,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(f182,plain,
! [X0,X1] :
( member(sK4(sK16,sK15,sK19,X0,X1),sK19)
| ~ apply(sF21,X0,X1)
| ~ member(X0,sK18)
| ~ member(X1,sK17) ),
inference(superposition,[],[f124,f169]) ).
fof(f191,plain,
! [X0] :
( apply(sK16,X0,sK3(sK16,sK17,X0))
| ~ member(X0,sK19) ),
inference(resolution,[],[f120,f158]) ).
fof(f192,plain,
! [X0] :
( apply(sK15,X0,sK3(sK15,sK19,X0))
| ~ member(X0,sK18) ),
inference(resolution,[],[f120,f159]) ).
fof(f194,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,[],[f192,f119]) ).
fof(f195,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,[],[f192,f125]) ).
fof(f196,plain,
! [X2,X3,X0,X1] :
( ~ member(sK3(sK16,sK17,X0),X3)
| ~ apply(sK16,X0,X1)
| sK3(sK16,sK17,X0) = X1
| ~ member(X0,X2)
| ~ member(X1,X3)
| ~ member(X0,sK19)
| ~ maps(sK16,X2,X3) ),
inference(resolution,[],[f191,f119]) ).
fof(f202,plain,
! [X2,X0,X1] :
( ~ member(sK4(sK16,sK15,sK19,X0,sK8(sK16,X1,X2)),X1)
| surjective(sK16,X1,X2)
| ~ apply(sF21,X0,sK8(sK16,X1,X2))
| ~ member(X0,sK18)
| ~ member(sK8(sK16,X1,X2),sK17) ),
inference(resolution,[],[f136,f180]) ).
fof(f203,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,f179]) ).
fof(f204,plain,
! [X0,X1] :
( surjective(sK16,sK19,X0)
| ~ apply(sF21,X1,sK8(sK16,sK19,X0))
| ~ member(X1,sK18)
| ~ member(sK8(sK16,sK19,X0),sK17)
| ~ apply(sF21,X1,sK8(sK16,sK19,X0))
| ~ member(X1,sK18)
| ~ member(sK8(sK16,sK19,X0),sK17) ),
inference(resolution,[],[f202,f182]) ).
fof(f205,plain,
! [X0,X1] :
( ~ apply(sF21,X1,sK8(sK16,sK19,X0))
| surjective(sK16,sK19,X0)
| ~ member(X1,sK18)
| ~ member(sK8(sK16,sK19,X0),sK17) ),
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(f215,plain,
! [X0] :
( ~ member(sK8(sK16,sK19,X0),sK17)
| surjective(sK16,sK19,X0)
| ~ member(sK9(sF21,sK18,sK8(sK16,sK19,X0)),sK18)
| ~ member(sK8(sK16,sK19,X0),sK17) ),
inference(resolution,[],[f209,f205]) ).
fof(f216,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(f220,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,[],[f216]) ).
fof(f221,plain,
! [X0] :
( ~ member(sK9(sF21,sK18,sK8(sK16,sK19,X0)),sK18)
| surjective(sK16,sK19,X0)
| ~ member(sK8(sK16,sK19,X0),sK17) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f228,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,[],[f195,f169]) ).
fof(f229,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,[],[f228]) ).
fof(f267,plain,
! [X0] :
( member(sK3(sK16,sK17,X0),sK17)
| ~ member(X0,sK19) ),
inference(resolution,[],[f121,f158]) ).
fof(f268,plain,
! [X0] :
( member(sK3(sK15,sK19,X0),sK19)
| ~ member(X0,sK18) ),
inference(resolution,[],[f121,f159]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ member(X0,sK19)
| ~ apply(sK16,X0,X1)
| sK3(sK16,sK17,X0) = X1
| ~ member(X0,X2)
| ~ member(X1,sK17)
| ~ member(X0,sK19)
| ~ maps(sK16,X2,sK17) ),
inference(resolution,[],[f267,f196]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ apply(sK16,X0,X1)
| ~ member(X0,sK19)
| sK3(sK16,sK17,X0) = X1
| ~ member(X0,X2)
| ~ member(X1,sK17)
| ~ maps(sK16,X2,sK17) ),
inference(duplicate_literal_removal,[],[f270]) ).
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,[],[f268,f194]) ).
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(f278,plain,
! [X2,X0,X1] :
( ~ member(sK7(sK16,X0,X1),sK17)
| sK3(sK16,sK17,sK6(sK16,X0,X1)) = sK7(sK16,X0,X1)
| ~ member(sK6(sK16,X0,X1),X2)
| ~ member(sK6(sK16,X0,X1),sK19)
| ~ maps(sK16,X2,sK17)
| injective(sK16,X0,X1) ),
inference(resolution,[],[f271,f130]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ member(sK7(sK16,X0,X1),sK17)
| sK7(sK16,X0,X1) = sK3(sK16,sK17,sK5(sK16,X0,X1))
| ~ member(sK5(sK16,X0,X1),X2)
| ~ member(sK5(sK16,X0,X1),sK19)
| ~ maps(sK16,X2,sK17)
| injective(sK16,X0,X1) ),
inference(resolution,[],[f271,f131]) ).
fof(f285,plain,
! [X2,X0,X1] :
( ~ member(X0,sK18)
| sK4(sK16,sK15,sK19,X0,X1) = sK3(sK15,sK19,X0)
| ~ member(X0,X2)
| ~ member(sK4(sK16,sK15,sK19,X0,X1),sK19)
| ~ maps(sK15,X2,sK19)
| ~ apply(sF21,X0,X1)
| ~ member(X0,sK18)
| ~ member(X1,sK17) ),
inference(resolution,[],[f273,f178]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ member(X0,sK18)
| sK4(sK16,sK15,sK19,X0,X1) = sK3(sK15,sK19,X0)
| ~ member(X0,X2)
| ~ member(sK4(sK16,sK15,sK19,X0,X1),sK19)
| ~ maps(sK15,X2,sK19)
| ~ apply(sF21,X0,X1)
| ~ member(X1,sK17) ),
inference(duplicate_literal_removal,[],[f285]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ apply(sF21,X0,X1)
| sK4(sK16,sK15,sK19,X0,X1) = sK3(sK15,sK19,X0)
| ~ member(X0,X2)
| ~ maps(sK15,X2,sK19)
| ~ member(X0,sK18)
| ~ member(X1,sK17) ),
inference(forward_subsumption_resolution,[],[f288,f182]) ).
fof(f293,plain,
! [X0,X1] :
( sK4(sK16,sK15,sK19,sK9(sF21,sK18,X0),X0) = sK3(sK15,sK19,sK9(sF21,sK18,X0))
| ~ member(sK9(sF21,sK18,X0),X1)
| ~ maps(sK15,X1,sK19)
| ~ member(sK9(sF21,sK18,X0),sK18)
| ~ member(X0,sK17)
| ~ member(X0,sK17) ),
inference(resolution,[],[f291,f209]) ).
fof(f296,plain,
! [X0,X1] :
( ~ member(sK9(sF21,sK18,X0),sK18)
| ~ member(sK9(sF21,sK18,X0),X1)
| ~ maps(sK15,X1,sK19)
| sK4(sK16,sK15,sK19,sK9(sF21,sK18,X0),X0) = sK3(sK15,sK19,sK9(sF21,sK18,X0))
| ~ member(X0,sK17) ),
inference(duplicate_literal_removal,[],[f293]) ).
fof(f322,plain,
! [X0,X1] :
( sK7(sK16,X0,sK17) = sK3(sK16,sK17,sK5(sK16,X0,sK17))
| ~ member(sK5(sK16,X0,sK17),X1)
| ~ member(sK5(sK16,X0,sK17),sK19)
| ~ maps(sK16,X1,sK17)
| injective(sK16,X0,sK17)
| injective(sK16,X0,sK17) ),
inference(resolution,[],[f279,f127]) ).
fof(f323,plain,
! [X0,X1] :
( ~ member(sK5(sK16,X0,sK17),sK19)
| ~ member(sK5(sK16,X0,sK17),X1)
| sK7(sK16,X0,sK17) = sK3(sK16,sK17,sK5(sK16,X0,sK17))
| ~ maps(sK16,X1,sK17)
| injective(sK16,X0,sK17) ),
inference(duplicate_literal_removal,[],[f322]) ).
fof(f324,plain,
! [X0] :
( ~ member(sK5(sK16,sK19,sK17),X0)
| sK7(sK16,sK19,sK17) = sK3(sK16,sK17,sK5(sK16,sK19,sK17))
| ~ maps(sK16,X0,sK17)
| injective(sK16,sK19,sK17)
| injective(sK16,sK19,sK17) ),
inference(resolution,[],[f323,f129]) ).
fof(f325,plain,
! [X0] :
( ~ member(sK5(sK16,sK19,sK17),X0)
| sK7(sK16,sK19,sK17) = sK3(sK16,sK17,sK5(sK16,sK19,sK17))
| ~ maps(sK16,X0,sK17)
| injective(sK16,sK19,sK17) ),
inference(duplicate_literal_removal,[],[f324]) ).
fof(f327,definition,
( spl22_1
<=> injective(sK16,sK19,sK17) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f328,plain,
( ~ injective(sK16,sK19,sK17)
| spl22_1 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f329,plain,
( injective(sK16,sK19,sK17)
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl22_2
<=> sK7(sK16,sK19,sK17) = sK3(sK16,sK17,sK5(sK16,sK19,sK17)) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f333,plain,
( sK7(sK16,sK19,sK17) = sK3(sK16,sK17,sK5(sK16,sK19,sK17))
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl22_3
<=> ! [X0] :
( ~ member(sK5(sK16,sK19,sK17),X0)
| ~ maps(sK16,X0,sK17) ) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f336,plain,
( ! [X0] :
( ~ member(sK5(sK16,sK19,sK17),X0)
| ~ maps(sK16,X0,sK17) )
| ~ 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(sK16,sK19,sK17),sK17)
| ~ member(sK5(sK16,sK19,sK17),sK19)
| ~ spl22_2 ),
inference(superposition,[],[f267,f333]) ).
fof(f342,definition,
( spl22_4
<=> member(sK5(sK16,sK19,sK17),sK19) ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f343,plain,
( member(sK5(sK16,sK19,sK17),sK19)
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f344,plain,
( ~ member(sK5(sK16,sK19,sK17),sK19)
| spl22_4 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f355,definition,
( spl22_7
<=> member(sK7(sK16,sK19,sK17),sK17) ),
introduced(definition,[new_symbols(definition,[spl22_7])],[avatar_definition]) ).
fof(f357,plain,
( member(sK7(sK16,sK19,sK17),sK17)
| ~ 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(sK16,sK19,sK17)
| spl22_4 ),
inference(resolution,[],[f344,f129]) ).
fof(f360,plain,
( spl22_1
| spl22_4 ),
inference(avatar_split_clause,[],[f359,f342,f327]) ).
fof(f379,plain,
! [X0,X1] :
( sK7(sK16,X0,sK17) = sK3(sK16,sK17,sK6(sK16,X0,sK17))
| ~ member(sK6(sK16,X0,sK17),X1)
| ~ member(sK6(sK16,X0,sK17),sK19)
| ~ maps(sK16,X1,sK17)
| injective(sK16,X0,sK17)
| injective(sK16,X0,sK17) ),
inference(resolution,[],[f278,f127]) ).
fof(f380,plain,
! [X0,X1] :
( ~ member(sK6(sK16,X0,sK17),sK19)
| ~ member(sK6(sK16,X0,sK17),X1)
| sK7(sK16,X0,sK17) = sK3(sK16,sK17,sK6(sK16,X0,sK17))
| ~ maps(sK16,X1,sK17)
| injective(sK16,X0,sK17) ),
inference(duplicate_literal_removal,[],[f379]) ).
fof(f381,plain,
! [X0] :
( ~ member(sK6(sK16,sK19,sK17),X0)
| sK7(sK16,sK19,sK17) = sK3(sK16,sK17,sK6(sK16,sK19,sK17))
| ~ maps(sK16,X0,sK17)
| injective(sK16,sK19,sK17)
| injective(sK16,sK19,sK17) ),
inference(resolution,[],[f380,f128]) ).
fof(f382,plain,
! [X0] :
( ~ member(sK6(sK16,sK19,sK17),X0)
| sK7(sK16,sK19,sK17) = sK3(sK16,sK17,sK6(sK16,sK19,sK17))
| ~ maps(sK16,X0,sK17)
| injective(sK16,sK19,sK17) ),
inference(duplicate_literal_removal,[],[f381]) ).
fof(f393,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,[],[f203,f181]) ).
fof(f394,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,[],[f393]) ).
fof(f395,plain,
! [X0] :
( surjective(sK15,sK18,X0)
| ~ member(sK9(sF20,sK17,sK8(sK15,sK18,X0)),sK17)
| ~ member(sK8(sK15,sK18,X0),sK19)
| ~ member(sK8(sK15,sK18,X0),sK19) ),
inference(resolution,[],[f394,f208]) ).
fof(f396,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,[],[f395]) ).
fof(f405,plain,
! [X0] :
( member(sK9(sF20,sK17,X0),sK17)
| ~ member(X0,sK19) ),
inference(resolution,[],[f134,f172]) ).
fof(f406,plain,
! [X0] :
( member(sK9(sF21,sK18,X0),sK18)
| ~ member(X0,sK17) ),
inference(resolution,[],[f134,f174]) ).
fof(f407,plain,
! [X0] :
( ~ member(sK8(sK15,sK18,X0),sK19)
| surjective(sK15,sK18,X0)
| ~ member(sK8(sK15,sK18,X0),sK19) ),
inference(resolution,[],[f405,f396]) ).
fof(f412,plain,
! [X0] :
( ~ member(sK8(sK15,sK18,X0),sK19)
| surjective(sK15,sK18,X0) ),
inference(duplicate_literal_removal,[],[f407]) ).
fof(f413,plain,
! [X0] :
( ~ member(sK8(sK16,sK19,X0),sK17)
| surjective(sK16,sK19,X0)
| ~ member(sK8(sK16,sK19,X0),sK17) ),
inference(resolution,[],[f406,f221]) ).
fof(f419,plain,
! [X0] :
( ~ member(sK8(sK16,sK19,X0),sK17)
| surjective(sK16,sK19,X0) ),
inference(duplicate_literal_removal,[],[f413]) ).
fof(f421,plain,
( surjective(sK16,sK19,sK17)
| surjective(sK16,sK19,sK17) ),
inference(resolution,[],[f419,f135]) ).
fof(f422,plain,
surjective(sK16,sK19,sK17),
inference(duplicate_literal_removal,[],[f421]) ).
fof(f425,plain,
( ~ injective(sK16,sK19,sK17)
| one_to_one(sK16,sK19,sK17) ),
inference(resolution,[],[f422,f139]) ).
fof(f426,plain,
( one_to_one(sK16,sK19,sK17)
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f425,f329]) ).
fof(f427,plain,
( $false
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f426,f161]) ).
fof(f428,plain,
~ spl22_1,
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f429,plain,
( ! [X0] :
( ~ member(sK6(sK16,sK19,sK17),X0)
| sK7(sK16,sK19,sK17) = sK3(sK16,sK17,sK6(sK16,sK19,sK17))
| ~ maps(sK16,X0,sK17) )
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f382,f328]) ).
fof(f431,definition,
( spl22_8
<=> sK7(sK16,sK19,sK17) = sK3(sK16,sK17,sK6(sK16,sK19,sK17)) ),
introduced(definition,[new_symbols(definition,[spl22_8])],[avatar_definition]) ).
fof(f433,plain,
( sK7(sK16,sK19,sK17) = sK3(sK16,sK17,sK6(sK16,sK19,sK17))
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f435,definition,
( spl22_9
<=> ! [X0] :
( ~ member(sK6(sK16,sK19,sK17),X0)
| ~ maps(sK16,X0,sK17) ) ),
introduced(definition,[new_symbols(definition,[spl22_9])],[avatar_definition]) ).
fof(f436,plain,
( ! [X0] :
( ~ member(sK6(sK16,sK19,sK17),X0)
| ~ maps(sK16,X0,sK17) )
| ~ spl22_9 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f437,plain,
( spl22_8
| spl22_9
| spl22_1 ),
inference(avatar_split_clause,[],[f429,f327,f435,f431]) ).
fof(f442,definition,
( spl22_10
<=> member(sK6(sK16,sK19,sK17),sK19) ),
introduced(definition,[new_symbols(definition,[spl22_10])],[avatar_definition]) ).
fof(f443,plain,
( member(sK6(sK16,sK19,sK17),sK19)
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f444,plain,
( ~ member(sK6(sK16,sK19,sK17),sK19)
| spl22_10 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f460,plain,
( injective(sK16,sK19,sK17)
| spl22_10 ),
inference(resolution,[],[f444,f128]) ).
fof(f461,plain,
( $false
| spl22_1
| spl22_10 ),
inference(forward_subsumption_resolution,[],[f460,f328]) ).
fof(f462,plain,
( spl22_1
| spl22_10 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f463,plain,
( ~ maps(sK16,sK19,sK17)
| injective(sK16,sK19,sK17)
| ~ spl22_9 ),
inference(resolution,[],[f436,f128]) ).
fof(f464,plain,
( injective(sK16,sK19,sK17)
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f463,f158]) ).
fof(f465,plain,
( $false
| spl22_1
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f464,f328]) ).
fof(f466,plain,
( spl22_1
| ~ spl22_9 ),
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f523,plain,
( surjective(sK15,sK18,sK19)
| surjective(sK15,sK18,sK19) ),
inference(resolution,[],[f412,f135]) ).
fof(f524,plain,
surjective(sK15,sK18,sK19),
inference(duplicate_literal_removal,[],[f523]) ).
fof(f525,plain,
! [X0] :
( member(sK9(sK15,sK18,X0),sK18)
| ~ member(X0,sK19) ),
inference(resolution,[],[f524,f134]) ).
fof(f526,plain,
! [X0] :
( apply(sK15,sK9(sK15,sK18,X0),X0)
| ~ member(X0,sK19) ),
inference(resolution,[],[f524,f133]) ).
fof(f537,plain,
! [X0,X1] :
( ~ member(X0,sK19)
| ~ member(sK9(sK15,sK18,X0),sK18)
| sK3(sK15,sK19,sK9(sK15,sK18,X0)) = X0
| ~ member(sK9(sK15,sK18,X0),X1)
| ~ member(X0,sK19)
| ~ maps(sK15,X1,sK19) ),
inference(resolution,[],[f526,f273]) ).
fof(f541,plain,
! [X0,X1] :
( ~ member(X0,sK19)
| ~ member(sK9(sK15,sK18,X0),sK18)
| sK3(sK15,sK19,sK9(sK15,sK18,X0)) = X0
| ~ member(sK9(sK15,sK18,X0),X1)
| ~ maps(sK15,X1,sK19) ),
inference(duplicate_literal_removal,[],[f537]) ).
fof(f542,plain,
! [X0,X1] :
( ~ member(sK9(sK15,sK18,X0),X1)
| sK3(sK15,sK19,sK9(sK15,sK18,X0)) = X0
| ~ member(X0,sK19)
| ~ maps(sK15,X1,sK19) ),
inference(forward_subsumption_resolution,[],[f541,f525]) ).
fof(f543,plain,
! [X0] :
( sK3(sK15,sK19,sK9(sK15,sK18,X0)) = X0
| ~ member(X0,sK19)
| ~ maps(sK15,sK18,sK19)
| ~ member(X0,sK19) ),
inference(resolution,[],[f542,f525]) ).
fof(f544,plain,
! [X0] :
( sK3(sK15,sK19,sK9(sK15,sK18,X0)) = X0
| ~ member(X0,sK19)
| ~ maps(sK15,sK18,sK19) ),
inference(duplicate_literal_removal,[],[f543]) ).
fof(f545,plain,
! [X0] :
( ~ member(X0,sK19)
| sK3(sK15,sK19,sK9(sK15,sK18,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f544,f159]) ).
fof(f549,plain,
( sK5(sK16,sK19,sK17) = sK3(sK15,sK19,sK9(sK15,sK18,sK5(sK16,sK19,sK17)))
| ~ spl22_4 ),
inference(resolution,[],[f545,f343]) ).
fof(f551,plain,
( sK6(sK16,sK19,sK17) = sK3(sK15,sK19,sK9(sK15,sK18,sK6(sK16,sK19,sK17)))
| ~ spl22_10 ),
inference(resolution,[],[f545,f443]) ).
fof(f560,definition,
( spl22_18
<=> member(sK9(sK15,sK18,sK5(sK16,sK19,sK17)),sK18) ),
introduced(definition,[new_symbols(definition,[spl22_18])],[avatar_definition]) ).
fof(f561,plain,
( member(sK9(sK15,sK18,sK5(sK16,sK19,sK17)),sK18)
| ~ spl22_18 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f562,plain,
( ~ member(sK9(sK15,sK18,sK5(sK16,sK19,sK17)),sK18)
| spl22_18 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f576,definition,
( spl22_21
<=> member(sK9(sK15,sK18,sK6(sK16,sK19,sK17)),sK18) ),
introduced(definition,[new_symbols(definition,[spl22_21])],[avatar_definition]) ).
fof(f577,plain,
( member(sK9(sK15,sK18,sK6(sK16,sK19,sK17)),sK18)
| ~ spl22_21 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f578,plain,
( ~ member(sK9(sK15,sK18,sK6(sK16,sK19,sK17)),sK18)
| spl22_21 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f590,plain,
( ~ member(sK5(sK16,sK19,sK17),sK19)
| spl22_18 ),
inference(resolution,[],[f562,f525]) ).
fof(f591,plain,
( $false
| ~ spl22_4
| spl22_18 ),
inference(forward_subsumption_resolution,[],[f590,f343]) ).
fof(f592,plain,
( ~ spl22_4
| spl22_18 ),
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f597,plain,
( ~ member(sK6(sK16,sK19,sK17),sK19)
| spl22_21 ),
inference(resolution,[],[f578,f525]) ).
fof(f598,plain,
( $false
| ~ spl22_10
| spl22_21 ),
inference(forward_subsumption_resolution,[],[f597,f443]) ).
fof(f599,plain,
( ~ spl22_10
| spl22_21 ),
inference(avatar_contradiction_clause,[],[f598]) ).
fof(f632,plain,
! [X0,X1] :
( ~ apply(sF21,X0,X1)
| ~ member(X0,sK18)
| ~ member(X1,sK17)
| sK9(sF21,sK18,X1) = X0
| ~ member(X1,sK17) ),
inference(resolution,[],[f220,f406]) ).
fof(f633,plain,
! [X0,X1] :
( ~ apply(sF21,X0,X1)
| ~ member(X0,sK18)
| ~ member(X1,sK17)
| sK9(sF21,sK18,X1) = X0 ),
inference(duplicate_literal_removal,[],[f632]) ).
fof(f810,plain,
! [X0] :
( ~ member(sK3(sK15,sK19,X0),sK19)
| ~ member(X0,sK18)
| apply(sF21,X0,sK3(sK16,sK17,sK3(sK15,sK19,X0)))
| ~ member(sK3(sK16,sK17,sK3(sK15,sK19,X0)),sK17)
| ~ member(sK3(sK15,sK19,X0),sK19) ),
inference(resolution,[],[f229,f191]) ).
fof(f815,plain,
! [X0] :
( ~ member(sK3(sK15,sK19,X0),sK19)
| ~ member(X0,sK18)
| apply(sF21,X0,sK3(sK16,sK17,sK3(sK15,sK19,X0)))
| ~ member(sK3(sK16,sK17,sK3(sK15,sK19,X0)),sK17) ),
inference(duplicate_literal_removal,[],[f810]) ).
fof(f818,plain,
! [X0] :
( ~ member(sK3(sK15,sK19,X0),sK19)
| ~ member(X0,sK18)
| apply(sF21,X0,sK3(sK16,sK17,sK3(sK15,sK19,X0))) ),
inference(forward_subsumption_resolution,[],[f815,f267]) ).
fof(f821,plain,
! [X0] :
( apply(sF21,X0,sK3(sK16,sK17,sK3(sK15,sK19,X0)))
| ~ member(X0,sK18) ),
inference(forward_subsumption_resolution,[],[f818,f268]) ).
fof(f831,plain,
( apply(sF21,sK9(sK15,sK18,sK5(sK16,sK19,sK17)),sK3(sK16,sK17,sK5(sK16,sK19,sK17)))
| ~ member(sK9(sK15,sK18,sK5(sK16,sK19,sK17)),sK18)
| ~ spl22_4 ),
inference(superposition,[],[f821,f549]) ).
fof(f832,plain,
( apply(sF21,sK9(sK15,sK18,sK6(sK16,sK19,sK17)),sK3(sK16,sK17,sK6(sK16,sK19,sK17)))
| ~ member(sK9(sK15,sK18,sK6(sK16,sK19,sK17)),sK18)
| ~ spl22_10 ),
inference(superposition,[],[f821,f551]) ).
fof(f840,plain,
( apply(sF21,sK9(sK15,sK18,sK6(sK16,sK19,sK17)),sK3(sK16,sK17,sK6(sK16,sK19,sK17)))
| ~ spl22_10
| ~ spl22_21 ),
inference(forward_subsumption_resolution,[],[f832,f577]) ).
fof(f841,plain,
( apply(sF21,sK9(sK15,sK18,sK5(sK16,sK19,sK17)),sK3(sK16,sK17,sK5(sK16,sK19,sK17)))
| ~ spl22_4
| ~ spl22_18 ),
inference(forward_subsumption_resolution,[],[f831,f561]) ).
fof(f844,plain,
( apply(sF21,sK9(sK15,sK18,sK6(sK16,sK19,sK17)),sK7(sK16,sK19,sK17))
| ~ spl22_8
| ~ spl22_10
| ~ spl22_21 ),
inference(forward_demodulation,[],[f840,f433]) ).
fof(f872,definition,
( spl22_35
<=> sK5(sK16,sK19,sK17) = sK4(sK16,sK15,sK19,sK9(sK15,sK18,sK5(sK16,sK19,sK17)),sK7(sK16,sK19,sK17)) ),
introduced(definition,[new_symbols(definition,[spl22_35])],[avatar_definition]) ).
fof(f873,plain,
( sK5(sK16,sK19,sK17) != sK4(sK16,sK15,sK19,sK9(sK15,sK18,sK5(sK16,sK19,sK17)),sK7(sK16,sK19,sK17))
| spl22_35 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f874,plain,
( sK5(sK16,sK19,sK17) = sK4(sK16,sK15,sK19,sK9(sK15,sK18,sK5(sK16,sK19,sK17)),sK7(sK16,sK19,sK17))
| ~ spl22_35 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f878,plain,
( ~ maps(sK16,sK19,sK17)
| injective(sK16,sK19,sK17)
| ~ spl22_3 ),
inference(resolution,[],[f336,f129]) ).
fof(f882,plain,
( injective(sK16,sK19,sK17)
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f878,f158]) ).
fof(f883,plain,
( $false
| spl22_1
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f882,f328]) ).
fof(f884,plain,
( spl22_1
| ~ spl22_3 ),
inference(avatar_contradiction_clause,[],[f883]) ).
fof(f893,plain,
( ~ member(sK9(sK15,sK18,sK6(sK16,sK19,sK17)),sK18)
| ~ member(sK7(sK16,sK19,sK17),sK17)
| sK9(sF21,sK18,sK7(sK16,sK19,sK17)) = sK9(sK15,sK18,sK6(sK16,sK19,sK17))
| ~ spl22_8
| ~ spl22_10
| ~ spl22_21 ),
inference(resolution,[],[f844,f633]) ).
fof(f904,plain,
( ~ member(sK7(sK16,sK19,sK17),sK17)
| sK9(sF21,sK18,sK7(sK16,sK19,sK17)) = sK9(sK15,sK18,sK6(sK16,sK19,sK17))
| ~ spl22_8
| ~ spl22_10
| ~ spl22_21 ),
inference(forward_subsumption_resolution,[],[f893,f577]) ).
fof(f909,plain,
( sK9(sF21,sK18,sK7(sK16,sK19,sK17)) = sK9(sK15,sK18,sK6(sK16,sK19,sK17))
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_21 ),
inference(forward_subsumption_resolution,[],[f904,f357]) ).
fof(f919,definition,
( spl22_38
<=> sK6(sK16,sK19,sK17) = sK4(sK16,sK15,sK19,sK9(sK15,sK18,sK6(sK16,sK19,sK17)),sK7(sK16,sK19,sK17)) ),
introduced(definition,[new_symbols(definition,[spl22_38])],[avatar_definition]) ).
fof(f920,plain,
( sK6(sK16,sK19,sK17) != sK4(sK16,sK15,sK19,sK9(sK15,sK18,sK6(sK16,sK19,sK17)),sK7(sK16,sK19,sK17))
| spl22_38 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f921,plain,
( sK6(sK16,sK19,sK17) = sK4(sK16,sK15,sK19,sK9(sK15,sK18,sK6(sK16,sK19,sK17)),sK7(sK16,sK19,sK17))
| ~ spl22_38 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f1090,plain,
! [X0,X1] :
( ~ member(sK9(sF21,sK18,X0),X1)
| ~ maps(sK15,X1,sK19)
| sK4(sK16,sK15,sK19,sK9(sF21,sK18,X0),X0) = sK3(sK15,sK19,sK9(sF21,sK18,X0))
| ~ member(X0,sK17)
| ~ member(X0,sK17) ),
inference(resolution,[],[f296,f406]) ).
fof(f1092,plain,
! [X0,X1] :
( ~ member(sK9(sF21,sK18,X0),X1)
| ~ maps(sK15,X1,sK19)
| sK4(sK16,sK15,sK19,sK9(sF21,sK18,X0),X0) = sK3(sK15,sK19,sK9(sF21,sK18,X0))
| ~ member(X0,sK17) ),
inference(duplicate_literal_removal,[],[f1090]) ).
fof(f1096,plain,
! [X0] :
( ~ maps(sK15,sK18,sK19)
| sK4(sK16,sK15,sK19,sK9(sF21,sK18,X0),X0) = sK3(sK15,sK19,sK9(sF21,sK18,X0))
| ~ member(X0,sK17)
| ~ member(X0,sK17) ),
inference(resolution,[],[f1092,f406]) ).
fof(f1098,plain,
! [X0] :
( ~ maps(sK15,sK18,sK19)
| sK4(sK16,sK15,sK19,sK9(sF21,sK18,X0),X0) = sK3(sK15,sK19,sK9(sF21,sK18,X0))
| ~ member(X0,sK17) ),
inference(duplicate_literal_removal,[],[f1096]) ).
fof(f1100,plain,
! [X0] :
( ~ member(X0,sK17)
| sK4(sK16,sK15,sK19,sK9(sF21,sK18,X0),X0) = sK3(sK15,sK19,sK9(sF21,sK18,X0)) ),
inference(forward_subsumption_resolution,[],[f1098,f159]) ).
fof(f1108,plain,
( sK4(sK16,sK15,sK19,sK9(sF21,sK18,sK7(sK16,sK19,sK17)),sK7(sK16,sK19,sK17)) = sK3(sK15,sK19,sK9(sF21,sK18,sK7(sK16,sK19,sK17)))
| ~ spl22_7 ),
inference(resolution,[],[f1100,f357]) ).
fof(f1115,plain,
( sK3(sK15,sK19,sK9(sK15,sK18,sK6(sK16,sK19,sK17))) = sK4(sK16,sK15,sK19,sK9(sK15,sK18,sK6(sK16,sK19,sK17)),sK7(sK16,sK19,sK17))
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_21 ),
inference(forward_demodulation,[],[f1108,f909]) ).
fof(f1403,plain,
( ~ member(sK9(sK15,sK18,sK5(sK16,sK19,sK17)),sK18)
| ~ member(sK3(sK16,sK17,sK5(sK16,sK19,sK17)),sK17)
| sK9(sF21,sK18,sK3(sK16,sK17,sK5(sK16,sK19,sK17))) = sK9(sK15,sK18,sK5(sK16,sK19,sK17))
| ~ spl22_4
| ~ spl22_18 ),
inference(resolution,[],[f841,f633]) ).
fof(f1419,plain,
( ~ member(sK3(sK16,sK17,sK5(sK16,sK19,sK17)),sK17)
| sK9(sF21,sK18,sK3(sK16,sK17,sK5(sK16,sK19,sK17))) = sK9(sK15,sK18,sK5(sK16,sK19,sK17))
| ~ spl22_4
| ~ spl22_18 ),
inference(forward_subsumption_resolution,[],[f1403,f561]) ).
fof(f1427,plain,
( ~ member(sK7(sK16,sK19,sK17),sK17)
| sK9(sF21,sK18,sK3(sK16,sK17,sK5(sK16,sK19,sK17))) = sK9(sK15,sK18,sK5(sK16,sK19,sK17))
| ~ spl22_2
| ~ spl22_4
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1419,f333]) ).
fof(f1431,plain,
( sK9(sF21,sK18,sK3(sK16,sK17,sK5(sK16,sK19,sK17))) = sK9(sK15,sK18,sK5(sK16,sK19,sK17))
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_18 ),
inference(forward_subsumption_resolution,[],[f1427,f357]) ).
fof(f1434,plain,
( sK9(sF21,sK18,sK7(sK16,sK19,sK17)) = sK9(sK15,sK18,sK5(sK16,sK19,sK17))
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1431,f333]) ).
fof(f1436,plain,
( sK9(sK15,sK18,sK5(sK16,sK19,sK17)) = sK9(sK15,sK18,sK6(sK16,sK19,sK17))
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21 ),
inference(forward_demodulation,[],[f1434,f909]) ).
fof(f1495,plain,
( sK6(sK16,sK19,sK17) = sK3(sK15,sK19,sK9(sK15,sK18,sK5(sK16,sK19,sK17)))
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21 ),
inference(superposition,[],[f551,f1436]) ).
fof(f1501,plain,
( sK6(sK16,sK19,sK17) = sK4(sK16,sK15,sK19,sK9(sK15,sK18,sK5(sK16,sK19,sK17)),sK7(sK16,sK19,sK17))
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| ~ spl22_38 ),
inference(superposition,[],[f921,f1436]) ).
fof(f1514,plain,
( sK5(sK16,sK19,sK17) = sK6(sK16,sK19,sK17)
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| ~ spl22_35
| ~ spl22_38 ),
inference(forward_demodulation,[],[f1501,f874]) ).
fof(f1516,plain,
( sK5(sK16,sK19,sK17) = sK6(sK16,sK19,sK17)
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21 ),
inference(forward_demodulation,[],[f1495,f549]) ).
fof(f1538,plain,
( sK5(sK16,sK19,sK17) != sK5(sK16,sK19,sK17)
| injective(sK16,sK19,sK17)
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| ~ spl22_35
| ~ spl22_38 ),
inference(superposition,[],[f132,f1514]) ).
fof(f1540,plain,
( injective(sK16,sK19,sK17)
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| ~ spl22_35
| ~ spl22_38 ),
inference(trivial_inequality_removal,[],[f1538]) ).
fof(f1541,plain,
( $false
| spl22_1
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| ~ spl22_35
| ~ spl22_38 ),
inference(forward_subsumption_resolution,[],[f1540,f328]) ).
fof(f1542,plain,
( spl22_1
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| ~ spl22_35
| ~ spl22_38 ),
inference(avatar_contradiction_clause,[],[f1541]) ).
fof(f1545,plain,
( sK6(sK16,sK19,sK17) != sK4(sK16,sK15,sK19,sK9(sK15,sK18,sK5(sK16,sK19,sK17)),sK7(sK16,sK19,sK17))
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| spl22_38 ),
inference(forward_demodulation,[],[f920,f1436]) ).
fof(f1558,plain,
( sK3(sK15,sK19,sK9(sK15,sK18,sK5(sK16,sK19,sK17))) = sK4(sK16,sK15,sK19,sK9(sK15,sK18,sK5(sK16,sK19,sK17)),sK7(sK16,sK19,sK17))
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21 ),
inference(forward_demodulation,[],[f1115,f1436]) ).
fof(f1561,plain,
( sK5(sK16,sK19,sK17) != sK6(sK16,sK19,sK17)
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| ~ spl22_35
| spl22_38 ),
inference(forward_demodulation,[],[f1545,f874]) ).
fof(f1576,plain,
( $false
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| ~ spl22_35
| spl22_38 ),
inference(forward_subsumption_resolution,[],[f1561,f1516]) ).
fof(f1577,plain,
( ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| ~ spl22_35
| spl22_38 ),
inference(avatar_contradiction_clause,[],[f1576]) ).
fof(f1601,plain,
( sK5(sK16,sK19,sK17) = sK4(sK16,sK15,sK19,sK9(sK15,sK18,sK5(sK16,sK19,sK17)),sK7(sK16,sK19,sK17))
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21 ),
inference(forward_demodulation,[],[f1558,f549]) ).
fof(f1628,plain,
( $false
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| spl22_35 ),
inference(forward_subsumption_resolution,[],[f1601,f873]) ).
fof(f1629,plain,
( ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| spl22_35 ),
inference(avatar_contradiction_clause,[],[f1628]) ).
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,[],[f428]) ).
cnf(s7,plain,
( spl22_1
| spl22_8
| spl22_9 ),
inference(sat_conversion,[],[f437]) ).
cnf(s10,plain,
( spl22_1
| spl22_10 ),
inference(sat_conversion,[],[f462]) ).
cnf(s11,plain,
( spl22_1
| ~ spl22_9 ),
inference(sat_conversion,[],[f466]) ).
cnf(s19,plain,
( ~ spl22_4
| spl22_18 ),
inference(sat_conversion,[],[f592]) ).
cnf(s20,plain,
( ~ spl22_10
| spl22_21 ),
inference(sat_conversion,[],[f599]) ).
cnf(s30,plain,
( spl22_1
| ~ spl22_3 ),
inference(sat_conversion,[],[f884]) ).
cnf(s72,plain,
( spl22_1
| ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| ~ spl22_35
| ~ spl22_38 ),
inference(sat_conversion,[],[f1542]) ).
cnf(s74,plain,
( ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| ~ spl22_35
| spl22_38 ),
inference(sat_conversion,[],[f1577]) ).
cnf(s81,plain,
( ~ spl22_2
| ~ spl22_4
| ~ spl22_7
| ~ spl22_8
| ~ spl22_10
| ~ spl22_18
| ~ spl22_21
| spl22_35 ),
inference(sat_conversion,[],[f1629]) ).
cnf(s90,plain,
~ spl22_3,
inference(rat,[],[s30,s6]) ).
cnf(s91,plain,
~ spl22_9,
inference(rat,[],[s11,s6]) ).
cnf(s92,plain,
spl22_10,
inference(rat,[],[s10,s6]) ).
cnf(s93,plain,
spl22_8,
inference(rat,[],[s7,s91,s6]) ).
cnf(s94,plain,
spl22_21,
inference(rat,[],[s20,s92]) ).
cnf(s99,plain,
spl22_4,
inference(rat,[],[s5,s6]) ).
cnf(s101,plain,
spl22_18,
inference(rat,[],[s19,s99]) ).
cnf(s104,plain,
( ~ spl22_2
| spl22_7 ),
inference(rat,[],[s4,s99]) ).
cnf(s107,plain,
spl22_2,
inference(rat,[],[s1,s90,s6]) ).
cnf(s109,plain,
spl22_7,
inference(rat,[],[s104,s107]) ).
cnf(s114,plain,
spl22_35,
inference(rat,[],[s81,s107,s94,s101,s92,s93,s99,s109]) ).
cnf(s121,plain,
spl22_38,
inference(rat,[],[s74,s109,s107,s94,s101,s92,s93,s99,s114]) ).
cnf(s122,plain,
$false,
inference(rat,[],[s72,s109,s107,s94,s101,s92,s93,s99,s6,s121,s114]) ).
fof(f1644,plain,
$false,
inference(avatar_sat_refutation,[],[s122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET744+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n020.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 02:43:42 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 8.05/1.95 % (3982279)Detected formulas, will run a generic FOF schedule.
% 8.05/1.95 % (3982284)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=606365052:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.05/1.95 % (3982285)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=1582035222:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.05/1.95 % (3982286)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=102817645:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.05/1.95 % (3982287)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3834395077:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.05/1.95 % (3982290)dis-21_1_sil=8000:lcm=predicate:random_seed=884113443: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)
% 8.05/1.95 % (3982289)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1008792292:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.05/1.95 % (3982288)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=785307413:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.05/1.95 % (3982287)Refutation not found, incomplete strategy
% 8.05/1.95 % (3982287)------------------------------
% 8.05/1.95 % (3982287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982287)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982287)Termination reason: Refutation not found, incomplete strategy
% 8.05/1.95 % (3982287)Time elapsed: 0.003 s
% 8.05/1.95 % (3982287)Peak memory usage: 88 MB
% 8.05/1.95 % (3982287)Instructions burned: 3 (million)
% 8.05/1.95 % (3982289)Instruction limit reached!
% 8.05/1.95 % (3982289)------------------------------
% 8.05/1.95 % (3982289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982289)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982289)Termination reason: Instruction limit
% 8.05/1.95 % (3982289)Termination phase: Saturation
% 8.05/1.95 % (3982289)Time elapsed: 0.055 s
% 8.05/1.95 % (3982289)Peak memory usage: 89 MB
% 8.05/1.95 % (3982289)Instructions burned: 140 (million)
% 8.05/1.95 % (3982290)Instruction limit reached!
% 8.05/1.95 % (3982290)------------------------------
% 8.05/1.95 % (3982290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982290)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982290)Termination reason: Instruction limit
% 8.05/1.95 % (3982290)Termination phase: Saturation
% 8.05/1.95 % (3982290)Time elapsed: 0.059 s
% 8.05/1.95 % (3982290)Peak memory usage: 89 MB
% 8.05/1.95 % (3982290)Instructions burned: 129 (million)
% 8.05/1.95 % (3982288)Instruction limit reached!
% 8.05/1.95 % (3982288)------------------------------
% 8.05/1.95 % (3982288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982288)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982288)Termination reason: Instruction limit
% 8.05/1.95 % (3982288)Termination phase: Saturation
% 8.05/1.95 % (3982288)Time elapsed: 0.059 s
% 8.05/1.95 % (3982288)Peak memory usage: 88 MB
% 8.05/1.95 % (3982288)Instructions burned: 121 (million)
% 8.05/1.95 % (3982298)lrs+10_1_sil=8000:sp=occurrence:random_seed=1265801948:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.05/1.95 % (3982300)lrs+1011_1_sil=32000:sp=occurrence:random_seed=467096325:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.05/1.95 % (3982299)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3584958238:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.05/1.95 % (3982299)Refutation not found, incomplete strategy
% 8.05/1.95 % (3982299)------------------------------
% 8.05/1.95 % (3982299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982299)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982299)Termination reason: Refutation not found, incomplete strategy
% 8.05/1.95 % (3982299)Time elapsed: 0.002 s
% 8.05/1.95 % (3982299)Peak memory usage: 88 MB
% 8.05/1.95 % (3982299)Instructions burned: 2 (million)
% 8.05/1.95 % (3982287)------------------------------
% 8.05/1.95 % (3982287)------------------------------
% 8.05/1.95 % (3982298)Instruction limit reached!
% 8.05/1.95 % (3982298)------------------------------
% 8.05/1.95 % (3982298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982298)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982298)Termination reason: Instruction limit
% 8.05/1.95 % (3982298)Termination phase: Saturation
% 8.05/1.95 % (3982298)Time elapsed: 0.086 s
% 8.05/1.95 % (3982298)Peak memory usage: 92 MB
% 8.05/1.95 % (3982298)Instructions burned: 287 (million)
% 8.05/1.95 % (3982304)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=1058385353:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.05/1.95 % (3982300)Instruction limit reached!
% 8.05/1.95 % (3982300)------------------------------
% 8.05/1.95 % (3982300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982300)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982300)Termination reason: Instruction limit
% 8.05/1.95 % (3982300)Termination phase: Saturation
% 8.05/1.95 % (3982300)Time elapsed: 0.170 s
% 8.05/1.95 % (3982300)Peak memory usage: 91 MB
% 8.05/1.95 % (3982300)Instructions burned: 328 (million)
% 8.05/1.95 % (3982305)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3493262771:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.05/1.95 % (3982304)Instruction limit reached!
% 8.05/1.95 % (3982304)------------------------------
% 8.05/1.95 % (3982304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982304)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982304)Termination reason: Instruction limit
% 8.05/1.95 % (3982304)Termination phase: Saturation
% 8.05/1.95 % (3982304)Time elapsed: 0.070 s
% 8.05/1.95 % (3982304)Peak memory usage: 92 MB
% 8.05/1.95 % (3982304)Instructions burned: 249 (million)
% 8.05/1.95 % (3982299)------------------------------
% 8.05/1.95 % (3982299)------------------------------
% 8.05/1.95 % (3982307)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2307784025:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.05/1.95 % (3982309)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3630128904:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.05/1.95 % (3982305)Instruction limit reached!
% 8.05/1.95 % (3982305)------------------------------
% 8.05/1.95 % (3982305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982305)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982305)Termination reason: Instruction limit
% 8.05/1.95 % (3982305)Termination phase: Saturation
% 8.05/1.95 % (3982305)Time elapsed: 0.166 s
% 8.05/1.95 % (3982305)Peak memory usage: 89 MB
% 8.05/1.95 % (3982305)Instructions burned: 294 (million)
% 8.05/1.95 % (3982309)Instruction limit reached!
% 8.05/1.95 % (3982309)------------------------------
% 8.05/1.95 % (3982309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982309)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982309)Termination reason: Instruction limit
% 8.05/1.95 % (3982309)Termination phase: Saturation
% 8.05/1.95 % (3982309)Time elapsed: 0.041 s
% 8.05/1.95 % (3982309)Peak memory usage: 89 MB
% 8.05/1.95 % (3982309)Instructions burned: 116 (million)
% 8.05/1.95 % (3982310)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1158990502:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.05/1.95 % (3982310)Instruction limit reached!
% 8.05/1.95 % (3982310)------------------------------
% 8.05/1.95 % (3982310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982310)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982310)Termination reason: Instruction limit
% 8.05/1.95 % (3982310)Termination phase: Saturation
% 8.05/1.95 % (3982310)Time elapsed: 0.069 s
% 8.05/1.95 % (3982310)Peak memory usage: 89 MB
% 8.05/1.95 % (3982310)Instructions burned: 128 (million)
% 8.05/1.95 % (3982314)lrs+10_1_sil=8000:sp=occurrence:random_seed=3959599309:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.05/1.95 % (3982313)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4041339977:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.05/1.95 % (3982313)Instruction limit reached!
% 8.05/1.95 % (3982313)------------------------------
% 8.05/1.95 % (3982313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982313)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982313)Termination reason: Instruction limit
% 8.05/1.95 % (3982313)Termination phase: Saturation
% 8.05/1.95 % (3982313)Time elapsed: 0.069 s
% 8.05/1.95 % (3982313)Peak memory usage: 89 MB
% 8.05/1.95 % (3982313)Instructions burned: 114 (million)
% 8.05/1.95 % (3982316)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1283099062:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.05/1.95 % (3982316)Refutation not found, incomplete strategy
% 8.05/1.95 % (3982316)------------------------------
% 8.05/1.95 % (3982316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982316)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982316)Termination reason: Refutation not found, incomplete strategy
% 8.05/1.95 % (3982316)Time elapsed: 0.002 s
% 8.05/1.95 % (3982316)Peak memory usage: 88 MB
% 8.05/1.95 % (3982316)Instructions burned: 1 (million)
% 8.05/1.95 % (3982284)First to succeed.
% 8.05/1.95 % (3982284)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3982279"
% 8.05/1.95 % (3982319)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3100946403:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 8.05/1.95 % (3982314)Instruction limit reached!
% 8.05/1.95 % (3982314)------------------------------
% 8.05/1.95 % (3982314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982314)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982314)Termination reason: Instruction limit
% 8.05/1.95 % (3982314)Termination phase: Saturation
% 8.05/1.95 % (3982314)Time elapsed: 0.277 s
% 8.05/1.95 % (3982314)Peak memory usage: 99 MB
% 8.05/1.95 % (3982314)Instructions burned: 908 (million)
% 8.05/1.95 % (3982316)------------------------------
% 8.05/1.95 % (3982316)------------------------------
% 8.05/1.95 % (3982322)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2244639811:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 8.05/1.95 % (3982322)Refutation not found, incomplete strategy
% 8.05/1.95 % (3982322)------------------------------
% 8.05/1.95 % (3982322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.95 % (3982322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.95 % (3982322)CaDiCaL version: 2.1.3
% 8.05/1.95 % (3982322)Termination reason: Refutation not found, incomplete strategy
% 8.05/1.95 % (3982322)Time elapsed: 0.001 s
% 8.05/1.95 % (3982322)Peak memory usage: 88 MB
% 8.05/1.95 % (3982322)Instructions burned: 1 (million)
% 8.05/1.95 % (3982284)Refutation found. Thanks to Tanya!
% 8.05/1.95 % SZS status Theorem for theBenchmark
% 8.05/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 9.79/2.15 % (3982284)------------------------------
% 9.79/2.15 % (3982284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.15 % (3982284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.15 % (3982284)CaDiCaL version: 2.1.3
% 9.79/2.15 % (3982284)Termination reason: Refutation
% 9.79/2.15 % (3982284)Time elapsed: 0.895 s
% 9.79/2.15 % (3982284)Peak memory usage: 131 MB
% 9.79/2.15 % (3982284)Instructions burned: 1312 (million)
% 9.79/2.15 % (3982284)------------------------------
% 9.79/2.15 % (3982284)------------------------------
% 9.79/2.15 % (3982279)Success in time 1.33 s
% 9.79/2.15 % Vampire exiting
%------------------------------------------------------------------------------