%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET772+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:41:53 PM UTC 2026
% Result : Theorem 3.01s 6.56s
% Output : Refutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 19
% Syntax : Number of formulae : 221 ( 12 unt; 16 def)
% Number of atoms : 1067 ( 14 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 1447 ( 601 ~; 664 |; 120 &)
% ( 23 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 14 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 328 ( 0 sgn 275 !; 53 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0,X1] :
( partition(X0,X1)
<=> ( ! [X2] :
( member(X2,X0)
=> subset(X2,X1) )
& ! [X2] :
( member(X2,X1)
=> ? [X3] :
( member(X3,X0)
& member(X2,X3) ) )
& ! [X2,X3] :
( ( member(X2,X0)
& member(X3,X0) )
=> ( ? [X4] :
( member(X4,X2)
& member(X4,X3) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partition) ).
fof(f14,axiom,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X2,X3] :
( ( member(X2,X0)
& member(X3,X0) )
=> ( apply(X1,X2,X3)
=> apply(X1,X3,X2) ) )
& ! [X2,X3,X4] :
( ( member(X2,X0)
& member(X3,X0)
& member(X4,X0) )
=> ( ( apply(X1,X2,X3)
& apply(X1,X3,X4) )
=> apply(X1,X2,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( partition(X0,X1)
=> ( ! [X3,X4] :
( ( member(X3,X1)
& member(X4,X1) )
=> ( apply(X2,X3,X4)
<=> ? [X5] :
( member(X5,X0)
& member(X3,X5)
& member(X4,X5) ) ) )
=> equivalence(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII08) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( partition(X0,X1)
=> ( ! [X3,X4] :
( ( member(X3,X1)
& member(X4,X1) )
=> ( apply(X2,X3,X4)
<=> ? [X5] :
( member(X5,X0)
& member(X3,X5)
& member(X4,X5) ) ) )
=> equivalence(X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( partition(X0,X1)
<=> ( ! [X2] :
( member(X2,X0)
=> subset(X2,X1) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X0)
& member(X3,X4) ) )
& ! [X5,X6] :
( ( member(X5,X0)
& member(X6,X0) )
=> ( ? [X7] :
( member(X7,X5)
& member(X7,X6) )
=> X5 = X6 ) ) ) ),
inference(rectify,[],[f13]) ).
fof(f20,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X3,X4] :
( ( member(X3,X0)
& member(X4,X0) )
=> ( apply(X1,X3,X4)
=> apply(X1,X4,X3) ) )
& ! [X5,X6,X7] :
( ( member(X5,X0)
& member(X6,X0)
& member(X7,X0) )
=> ( ( apply(X1,X5,X6)
& apply(X1,X6,X7) )
=> apply(X1,X5,X7) ) ) ) ),
inference(rectify,[],[f14]) ).
fof(f21,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X3,X4] :
( ( member(X3,X0)
& member(X4,X0) )
=> ( apply(X1,X3,X4)
=> apply(X1,X4,X3) ) )
& ! [X5,X6,X7] :
( ( member(X5,X0)
& member(X6,X0)
& member(X7,X0) )
=> ( ( apply(X1,X5,X6)
& apply(X1,X6,X7) )
=> apply(X1,X5,X7) ) ) )
=> equivalence(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( partition(X0,X1)
=> ( ! [X2] :
( member(X2,X0)
=> subset(X2,X1) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X0)
& member(X3,X4) ) )
& ! [X5,X6] :
( ( member(X5,X0)
& member(X6,X0) )
=> ( ? [X7] :
( member(X7,X5)
& member(X7,X6) )
=> X5 = X6 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f23,plain,
! [X0,X1] :
( partition(X0,X1)
=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X0)
& member(X3,X4) ) )
& ! [X5,X6] :
( ( member(X5,X0)
& member(X6,X0) )
=> ( ? [X7] :
( member(X7,X5)
& member(X7,X6) )
=> X5 = X6 ) ) ) ),
inference(pure_predicate_removal,[],[f22]) ).
fof(f24,plain,
? [X0,X1,X2] :
( ~ equivalence(X2,X1)
& ! [X3,X4] :
( ( apply(X2,X3,X4)
<=> ? [X5] :
( member(X5,X0)
& member(X3,X5)
& member(X4,X5) ) )
| ~ member(X3,X1)
| ~ member(X4,X1) )
& partition(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f25,plain,
? [X0,X1,X2] :
( ~ equivalence(X2,X1)
& ! [X3,X4] :
( ( apply(X2,X3,X4)
<=> ? [X5] :
( member(X5,X0)
& member(X3,X5)
& member(X4,X5) ) )
| ~ member(X3,X1)
| ~ member(X4,X1) )
& partition(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X0)
& member(X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6] :
( X5 = X6
| ! [X7] :
( ~ member(X7,X5)
| ~ member(X7,X6) )
| ~ member(X5,X0)
| ~ member(X6,X0) ) )
| ~ partition(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f27,plain,
! [X0,X1] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X0)
& member(X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6] :
( X5 = X6
| ! [X7] :
( ~ member(X7,X5)
| ~ member(X7,X6) )
| ~ member(X5,X0)
| ~ member(X6,X0) ) )
| ~ partition(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( equivalence(X1,X0)
| ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
| ? [X3,X4] :
( ~ apply(X1,X4,X3)
& apply(X1,X3,X4)
& member(X3,X0)
& member(X4,X0) )
| ? [X5,X6,X7] :
( ~ apply(X1,X5,X7)
& apply(X1,X5,X6)
& apply(X1,X6,X7)
& member(X5,X0)
& member(X6,X0)
& member(X7,X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f29,plain,
! [X0,X1] :
( equivalence(X1,X0)
| ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
| ? [X3,X4] :
( ~ apply(X1,X4,X3)
& apply(X1,X3,X4)
& member(X3,X0)
& member(X4,X0) )
| ? [X5,X6,X7] :
( ~ apply(X1,X5,X7)
& apply(X1,X5,X6)
& apply(X1,X6,X7)
& member(X5,X0)
& member(X6,X0)
& member(X7,X0) ) ),
inference(flattening,[],[f28]) ).
fof(f30,definition,
! [X1,X0] :
( ? [X5,X6,X7] :
( ~ apply(X1,X5,X7)
& apply(X1,X5,X6)
& apply(X1,X6,X7)
& member(X5,X0)
& member(X6,X0)
& member(X7,X0) )
| ~ sP0(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f31,plain,
! [X0,X1] :
( equivalence(X1,X0)
| ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
| ? [X3,X4] :
( ~ apply(X1,X4,X3)
& apply(X1,X3,X4)
& member(X3,X0)
& member(X4,X0) )
| sP0(X1,X0) ),
inference(definition_folding,[],[f29,f30]) ).
fof(f32,plain,
? [X0,X1,X2] :
( ~ equivalence(X2,X1)
& ! [X3,X4] :
( ( ( apply(X2,X3,X4)
| ! [X5] :
( ~ member(X5,X0)
| ~ member(X3,X5)
| ~ member(X4,X5) ) )
& ( ? [X5] :
( member(X5,X0)
& member(X3,X5)
& member(X4,X5) )
| ~ apply(X2,X3,X4) ) )
| ~ member(X3,X1)
| ~ member(X4,X1) )
& partition(X0,X1) ),
inference(nnf_transformation,[],[f25]) ).
fof(f33,plain,
? [X0,X1,X2] :
( ~ equivalence(X2,X1)
& ! [X3,X4] :
( ( ( apply(X2,X3,X4)
| ! [X5] :
( ~ member(X5,X0)
| ~ member(X3,X5)
| ~ member(X4,X5) ) )
& ( ? [X6] :
( member(X6,X0)
& member(X3,X6)
& member(X4,X6) )
| ~ apply(X2,X3,X4) ) )
| ~ member(X3,X1)
| ~ member(X4,X1) )
& partition(X0,X1) ),
inference(rectify,[],[f32]) ).
fof(f34,plain,
( ~ equivalence(sK3,sK2)
& ! [X3,X4] :
( ( ( apply(sK3,X3,X4)
| ! [X5] :
( ~ member(X5,sK1)
| ~ member(X3,X5)
| ~ member(X4,X5) ) )
& ( ( member(sK4(X3,X4),sK1)
& member(X3,sK4(X3,X4))
& member(X4,sK4(X3,X4)) )
| ~ apply(sK3,X3,X4) ) )
| ~ member(X3,sK2)
| ~ member(X4,sK2) )
& partition(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X6,sK4(X3,X4))],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( ! [X2] :
( ? [X3] :
( member(X3,X0)
& member(X2,X3) )
| ~ member(X2,X1) )
& ! [X4,X5] :
( X4 = X5
| ! [X6] :
( ~ member(X6,X4)
| ~ member(X6,X5) )
| ~ member(X4,X0)
| ~ member(X5,X0) ) )
| ~ partition(X0,X1) ),
inference(rectify,[],[f27]) ).
fof(f36,plain,
! [X0,X1] :
( ( ! [X2] :
( ( member(sK5(X0,X2),X0)
& member(X2,sK5(X0,X2)) )
| ~ member(X2,X1) )
& ! [X4,X5] :
( X4 = X5
| ! [X6] :
( ~ member(X6,X4)
| ~ member(X6,X5) )
| ~ member(X4,X0)
| ~ member(X5,X0) ) )
| ~ partition(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X2))],[f35]) ).
fof(f37,plain,
! [X1,X0] :
( ? [X5,X6,X7] :
( ~ apply(X1,X5,X7)
& apply(X1,X5,X6)
& apply(X1,X6,X7)
& member(X5,X0)
& member(X6,X0)
& member(X7,X0) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f30]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( ~ apply(X0,X2,X4)
& apply(X0,X2,X3)
& apply(X0,X3,X4)
& member(X2,X1)
& member(X3,X1)
& member(X4,X1) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( ( ~ apply(X0,sK6(X0,X1),sK8(X0,X1))
& apply(X0,sK6(X0,X1),sK7(X0,X1))
& apply(X0,sK7(X0,X1),sK8(X0,X1))
& member(sK6(X0,X1),X1)
& member(sK7(X0,X1),X1)
& member(sK8(X0,X1),X1) )
| ~ sP0(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X2,sK6(X0,X1)),skolemize(X3,sK7(X0,X1)),skolemize(X4,sK8(X0,X1))],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( equivalence(X1,X0)
| ( ~ apply(X1,sK9(X0,X1),sK9(X0,X1))
& member(sK9(X0,X1),X0) )
| ( ~ apply(X1,sK11(X0,X1),sK10(X0,X1))
& apply(X1,sK10(X0,X1),sK11(X0,X1))
& member(sK10(X0,X1),X0)
& member(sK11(X0,X1),X0) )
| sP0(X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X2,sK9(X0,X1)),skolemize(X3,sK10(X0,X1)),skolemize(X4,sK11(X0,X1))],[f31]) ).
fof(f41,plain,
partition(sK1,sK2),
inference(cnf_transformation,[],[f34]) ).
fof(f42,plain,
! [X3,X4] :
( member(X4,sK4(X3,X4))
| ~ apply(sK3,X3,X4)
| ~ member(X3,sK2)
| ~ member(X4,sK2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f43,plain,
! [X3,X4] :
( member(X3,sK4(X3,X4))
| ~ apply(sK3,X3,X4)
| ~ member(X3,sK2)
| ~ member(X4,sK2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f44,plain,
! [X3,X4] :
( member(sK4(X3,X4),sK1)
| ~ apply(sK3,X3,X4)
| ~ member(X3,sK2)
| ~ member(X4,sK2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f45,plain,
! [X3,X4,X5] :
( apply(sK3,X3,X4)
| ~ member(X5,sK1)
| ~ member(X3,X5)
| ~ member(X4,X5)
| ~ member(X3,sK2)
| ~ member(X4,sK2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f46,plain,
~ equivalence(sK3,sK2),
inference(cnf_transformation,[],[f34]) ).
fof(f47,plain,
! [X0,X1,X6,X4,X5] :
( X4 = X5
| ~ member(X6,X4)
| ~ member(X6,X5)
| ~ member(X4,X0)
| ~ member(X5,X0)
| ~ partition(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f48,plain,
! [X2,X0,X1] :
( member(X2,sK5(X0,X2))
| ~ member(X2,X1)
| ~ partition(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f49,plain,
! [X2,X0,X1] :
( member(sK5(X0,X2),X0)
| ~ member(X2,X1)
| ~ partition(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f50,plain,
! [X0,X1] :
( member(sK8(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f51,plain,
! [X0,X1] :
( member(sK7(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f52,plain,
! [X0,X1] :
( member(sK6(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f53,plain,
! [X0,X1] :
( apply(X0,sK7(X0,X1),sK8(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f54,plain,
! [X0,X1] :
( apply(X0,sK6(X0,X1),sK7(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f55,plain,
! [X0,X1] :
( ~ apply(X0,sK6(X0,X1),sK8(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f56,plain,
! [X0,X1] :
( member(sK11(X0,X1),X0)
| member(sK9(X0,X1),X0)
| equivalence(X1,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
! [X0,X1] :
( member(sK10(X0,X1),X0)
| member(sK9(X0,X1),X0)
| equivalence(X1,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
! [X0,X1] :
( apply(X1,sK10(X0,X1),sK11(X0,X1))
| member(sK9(X0,X1),X0)
| equivalence(X1,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f59,plain,
! [X0,X1] :
( ~ apply(X1,sK11(X0,X1),sK10(X0,X1))
| member(sK9(X0,X1),X0)
| equivalence(X1,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f60,plain,
! [X0,X1] :
( ~ apply(X1,sK9(X0,X1),sK9(X0,X1))
| equivalence(X1,X0)
| member(sK11(X0,X1),X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apply(X1,sK9(X0,X1),sK9(X0,X1))
| equivalence(X1,X0)
| member(sK10(X0,X1),X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f62,plain,
! [X0,X1] :
( ~ apply(X1,sK9(X0,X1),sK9(X0,X1))
| equivalence(X1,X0)
| apply(X1,sK10(X0,X1),sK11(X0,X1))
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f63,plain,
! [X0,X1] :
( ~ apply(X1,sK11(X0,X1),sK10(X0,X1))
| ~ apply(X1,sK9(X0,X1),sK9(X0,X1))
| equivalence(X1,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f64,plain,
! [X0,X1] :
( ~ partition(X0,X1)
| sP12(X0) ),
inference(cnf_transformation,[],[f64_D]) ).
fof(f64_D,definition,
! [X0] :
( ! [X1] : ~ partition(X0,X1)
<=> ~ sP12(X0) ),
introduced(definition,[new_symbols(definition,[sP12])],[general_splitting_component_introduction]) ).
fof(f65,plain,
! [X0,X6,X4,X5] :
( X4 = X5
| ~ member(X6,X4)
| ~ member(X6,X5)
| ~ member(X4,X0)
| ~ member(X5,X0)
| ~ sP12(X0) ),
inference(general_splitting,[],[f47,f64_D]) ).
fof(f66,plain,
! [X0,X4,X5] :
( ~ member(X5,X0)
| ~ member(X4,X0)
| ~ sP12(X0)
| sP13(X5,X4) ),
inference(cnf_transformation,[],[f66_D]) ).
fof(f66_D,definition,
! [X4,X5] :
( ! [X0] :
( ~ member(X5,X0)
| ~ member(X4,X0)
| ~ sP12(X0) )
<=> ~ sP13(X5,X4) ),
introduced(definition,[new_symbols(definition,[sP13])],[general_splitting_component_introduction]) ).
fof(f67,plain,
! [X6,X4,X5] :
( ~ sP13(X5,X4)
| ~ member(X6,X4)
| ~ member(X6,X5)
| X4 = X5 ),
inference(general_splitting,[],[f65,f66_D]) ).
fof(f68,plain,
sP12(sK1),
inference(resolution,[],[f41,f64]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ apply(sK3,X0,X1)
| ~ member(X0,sK2)
| ~ member(X1,sK2)
| ~ member(X2,sK1)
| ~ sP12(sK1)
| sP13(sK4(X0,X1),X2) ),
inference(resolution,[],[f44,f66]) ).
fof(f72,plain,
! [X2,X0,X1] :
( sP13(sK4(X0,X1),X2)
| ~ member(X0,sK2)
| ~ member(X1,sK2)
| ~ member(X2,sK1)
| ~ apply(sK3,X0,X1) ),
inference(forward_subsumption_resolution,[],[f71,f68]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,sK4(X0,X1))
| ~ member(X1,sK2)
| ~ member(X2,sK1)
| ~ apply(sK3,X0,X1)
| ~ member(X3,X2)
| ~ member(X0,sK2)
| sK4(X0,X1) = X2 ),
inference(resolution,[],[f72,f67]) ).
fof(f74,plain,
! [X0,X1] :
( ~ member(sK8(sK3,X1),sK2)
| ~ member(sK6(sK3,X1),X0)
| ~ member(sK8(sK3,X1),X0)
| ~ member(sK6(sK3,X1),sK2)
| ~ member(X0,sK1)
| ~ sP0(sK3,X1) ),
inference(resolution,[],[f45,f55]) ).
fof(f75,plain,
! [X0,X1] :
( ~ member(sK11(X1,sK3),sK2)
| ~ member(sK11(X1,sK3),X0)
| ~ member(sK10(X1,sK3),X0)
| ~ member(X0,sK1)
| ~ member(sK10(X1,sK3),sK2)
| member(sK9(X1,sK3),X1)
| equivalence(sK3,X1)
| sP0(sK3,X1) ),
inference(resolution,[],[f45,f59]) ).
fof(f76,plain,
! [X0,X1] :
( ~ apply(sK3,sK9(X1,sK3),sK9(X1,sK3))
| ~ member(sK11(X1,sK3),X0)
| ~ member(sK10(X1,sK3),X0)
| ~ member(sK11(X1,sK3),sK2)
| ~ member(sK10(X1,sK3),sK2)
| ~ member(X0,sK1)
| equivalence(sK3,X1)
| sP0(sK3,X1) ),
inference(resolution,[],[f45,f63]) ).
fof(f77,plain,
! [X0,X1] :
( ~ member(X0,sK1)
| ~ member(sK9(X1,sK3),X0)
| ~ member(sK9(X1,sK3),X0)
| ~ member(sK9(X1,sK3),sK2)
| ~ member(sK9(X1,sK3),sK2)
| equivalence(sK3,X1)
| member(sK11(X1,sK3),X1)
| sP0(sK3,X1) ),
inference(resolution,[],[f45,f60]) ).
fof(f78,plain,
! [X0,X1] :
( ~ member(X0,sK1)
| ~ member(sK9(X1,sK3),X0)
| ~ member(sK9(X1,sK3),X0)
| ~ member(sK9(X1,sK3),sK2)
| ~ member(sK9(X1,sK3),sK2)
| equivalence(sK3,X1)
| member(sK10(X1,sK3),X1)
| sP0(sK3,X1) ),
inference(resolution,[],[f45,f61]) ).
fof(f79,plain,
! [X0,X1] :
( ~ member(X0,sK1)
| ~ member(sK9(X1,sK3),X0)
| ~ member(sK9(X1,sK3),X0)
| ~ member(sK9(X1,sK3),sK2)
| ~ member(sK9(X1,sK3),sK2)
| equivalence(sK3,X1)
| apply(sK3,sK10(X1,sK3),sK11(X1,sK3))
| sP0(sK3,X1) ),
inference(resolution,[],[f45,f62]) ).
fof(f80,plain,
! [X0,X1] :
( apply(sK3,sK10(X1,sK3),sK11(X1,sK3))
| ~ member(sK9(X1,sK3),X0)
| ~ member(sK9(X1,sK3),sK2)
| equivalence(sK3,X1)
| ~ member(X0,sK1)
| sP0(sK3,X1) ),
inference(duplicate_literal_removal,[],[f79]) ).
fof(f81,plain,
! [X0,X1] :
( ~ member(sK9(X1,sK3),sK2)
| ~ member(sK9(X1,sK3),X0)
| ~ member(X0,sK1)
| equivalence(sK3,X1)
| member(sK10(X1,sK3),X1)
| sP0(sK3,X1) ),
inference(duplicate_literal_removal,[],[f78]) ).
fof(f82,plain,
! [X0,X1] :
( ~ member(sK9(X1,sK3),sK2)
| ~ member(sK9(X1,sK3),X0)
| ~ member(X0,sK1)
| equivalence(sK3,X1)
| member(sK11(X1,sK3),X1)
| sP0(sK3,X1) ),
inference(duplicate_literal_removal,[],[f77]) ).
fof(f105,plain,
! [X0] :
( ~ member(sK6(sK3,sK2),X0)
| ~ member(sK8(sK3,sK2),X0)
| ~ member(sK6(sK3,sK2),sK2)
| ~ member(X0,sK1)
| ~ sP0(sK3,sK2)
| ~ sP0(sK3,sK2) ),
inference(resolution,[],[f74,f50]) ).
fof(f106,plain,
! [X0] :
( ~ member(sK6(sK3,sK2),X0)
| ~ member(sK8(sK3,sK2),X0)
| ~ member(sK6(sK3,sK2),sK2)
| ~ member(X0,sK1)
| ~ sP0(sK3,sK2) ),
inference(duplicate_literal_removal,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ~ member(sK6(sK3,sK2),X0)
| ~ member(sK8(sK3,sK2),X0)
| ~ member(X0,sK1)
| ~ sP0(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f106,f52]) ).
fof(f109,definition,
( spl14_1
<=> sP0(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f110,plain,
( sP0(sK3,sK2)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f111,plain,
( ~ sP0(sK3,sK2)
| spl14_1 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f113,definition,
( spl14_2
<=> ! [X0] :
( ~ member(sK6(sK3,sK2),X0)
| ~ member(X0,sK1)
| ~ member(sK8(sK3,sK2),X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f114,plain,
( ! [X0] :
( ~ member(sK8(sK3,sK2),X0)
| ~ member(X0,sK1)
| ~ member(sK6(sK3,sK2),X0) )
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f115,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f107,f113,f109]) ).
fof(f116,plain,
! [X0] :
( ~ member(sK11(sK2,sK3),X0)
| ~ member(sK10(sK2,sK3),X0)
| ~ member(X0,sK1)
| ~ member(sK10(sK2,sK3),sK2)
| member(sK9(sK2,sK3),sK2)
| equivalence(sK3,sK2)
| sP0(sK3,sK2)
| member(sK9(sK2,sK3),sK2)
| equivalence(sK3,sK2)
| sP0(sK3,sK2) ),
inference(resolution,[],[f75,f56]) ).
fof(f117,plain,
! [X0] :
( ~ member(sK11(sK2,sK3),X0)
| ~ member(sK10(sK2,sK3),X0)
| ~ member(X0,sK1)
| ~ member(sK10(sK2,sK3),sK2)
| member(sK9(sK2,sK3),sK2)
| equivalence(sK3,sK2)
| sP0(sK3,sK2) ),
inference(duplicate_literal_removal,[],[f116]) ).
fof(f118,plain,
! [X0] :
( ~ member(sK11(sK2,sK3),X0)
| ~ member(sK10(sK2,sK3),X0)
| ~ member(X0,sK1)
| member(sK9(sK2,sK3),sK2)
| equivalence(sK3,sK2)
| sP0(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f117,f57]) ).
fof(f119,plain,
! [X0] :
( ~ member(sK11(sK2,sK3),X0)
| ~ member(sK10(sK2,sK3),X0)
| ~ member(X0,sK1)
| member(sK9(sK2,sK3),sK2)
| sP0(sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f118,f46]) ).
fof(f120,plain,
( ! [X0] :
( ~ member(sK11(sK2,sK3),X0)
| ~ member(sK10(sK2,sK3),X0)
| ~ member(X0,sK1)
| member(sK9(sK2,sK3),sK2) )
| spl14_1 ),
inference(forward_subsumption_resolution,[],[f119,f111]) ).
fof(f122,definition,
( spl14_3
<=> member(sK9(sK2,sK3),sK2) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f123,plain,
( ~ member(sK9(sK2,sK3),sK2)
| spl14_3 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( member(sK9(sK2,sK3),sK2)
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f126,definition,
( spl14_4
<=> ! [X0] :
( ~ member(sK11(sK2,sK3),X0)
| ~ member(X0,sK1)
| ~ member(sK10(sK2,sK3),X0) ) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f127,plain,
( ! [X0] :
( ~ member(sK11(sK2,sK3),X0)
| ~ member(X0,sK1)
| ~ member(sK10(sK2,sK3),X0) )
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f128,plain,
( spl14_3
| spl14_4
| spl14_1 ),
inference(avatar_split_clause,[],[f120,f109,f126,f122]) ).
fof(f129,plain,
( ! [X0] :
( ~ member(sK9(sK2,sK3),X0)
| ~ member(X0,sK1)
| equivalence(sK3,sK2)
| member(sK11(sK2,sK3),sK2)
| sP0(sK3,sK2) )
| ~ spl14_3 ),
inference(resolution,[],[f124,f82]) ).
fof(f130,plain,
( ! [X0] :
( ~ member(sK9(sK2,sK3),X0)
| ~ member(X0,sK1)
| equivalence(sK3,sK2)
| member(sK10(sK2,sK3),sK2)
| sP0(sK3,sK2) )
| ~ spl14_3 ),
inference(resolution,[],[f124,f81]) ).
fof(f140,plain,
( ! [X0] :
( ~ member(sK9(sK2,sK3),X0)
| ~ member(X0,sK1)
| member(sK10(sK2,sK3),sK2)
| sP0(sK3,sK2) )
| ~ spl14_3 ),
inference(forward_subsumption_resolution,[],[f130,f46]) ).
fof(f141,plain,
( ! [X0] :
( ~ member(sK9(sK2,sK3),X0)
| ~ member(X0,sK1)
| member(sK11(sK2,sK3),sK2)
| sP0(sK3,sK2) )
| ~ spl14_3 ),
inference(forward_subsumption_resolution,[],[f129,f46]) ).
fof(f142,plain,
( ! [X0] :
( ~ member(sK9(sK2,sK3),X0)
| ~ member(X0,sK1)
| member(sK10(sK2,sK3),sK2) )
| spl14_1
| ~ spl14_3 ),
inference(forward_subsumption_resolution,[],[f140,f111]) ).
fof(f143,plain,
( ! [X0] :
( ~ member(sK9(sK2,sK3),X0)
| ~ member(X0,sK1)
| member(sK11(sK2,sK3),sK2) )
| spl14_1
| ~ spl14_3 ),
inference(forward_subsumption_resolution,[],[f141,f111]) ).
fof(f145,definition,
( spl14_7
<=> member(sK10(sK2,sK3),sK2) ),
introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition]) ).
fof(f146,plain,
( ~ member(sK10(sK2,sK3),sK2)
| spl14_7 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f147,plain,
( member(sK10(sK2,sK3),sK2)
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f149,definition,
( spl14_8
<=> ! [X0] :
( ~ member(sK9(sK2,sK3),X0)
| ~ member(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl14_8])],[avatar_definition]) ).
fof(f150,plain,
( ! [X0] :
( ~ member(sK9(sK2,sK3),X0)
| ~ member(X0,sK1) )
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f151,plain,
( spl14_7
| spl14_8
| spl14_1
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f142,f122,f109,f149,f145]) ).
fof(f153,definition,
( spl14_9
<=> member(sK11(sK2,sK3),sK2) ),
introduced(definition,[new_symbols(definition,[spl14_9])],[avatar_definition]) ).
fof(f154,plain,
( ~ member(sK11(sK2,sK3),sK2)
| spl14_9 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f155,plain,
( member(sK11(sK2,sK3),sK2)
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f156,plain,
( spl14_9
| spl14_8
| spl14_1
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f143,f122,f109,f149,f153]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ member(sK11(X0,sK3),X1)
| ~ member(sK10(X0,sK3),X1)
| ~ member(sK11(X0,sK3),sK2)
| ~ member(sK10(X0,sK3),sK2)
| ~ member(X1,sK1)
| equivalence(sK3,X0)
| sP0(sK3,X0)
| ~ member(X2,sK1)
| ~ member(sK9(X0,sK3),X2)
| ~ member(sK9(X0,sK3),X2)
| ~ member(sK9(X0,sK3),sK2)
| ~ member(sK9(X0,sK3),sK2) ),
inference(resolution,[],[f76,f45]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ member(sK11(X0,sK3),sK2)
| ~ member(sK10(X0,sK3),X1)
| ~ member(sK11(X0,sK3),X1)
| ~ member(sK10(X0,sK3),sK2)
| ~ member(X1,sK1)
| equivalence(sK3,X0)
| sP0(sK3,X0)
| ~ member(X2,sK1)
| ~ member(sK9(X0,sK3),X2)
| ~ member(sK9(X0,sK3),sK2) ),
inference(duplicate_literal_removal,[],[f157]) ).
fof(f161,plain,
( ! [X0] :
( ~ member(sK4(X0,sK8(sK3,sK2)),sK1)
| ~ member(sK6(sK3,sK2),sK4(X0,sK8(sK3,sK2)))
| ~ apply(sK3,X0,sK8(sK3,sK2))
| ~ member(X0,sK2)
| ~ member(sK8(sK3,sK2),sK2) )
| ~ spl14_2 ),
inference(resolution,[],[f114,f42]) ).
fof(f164,plain,
( ! [X0] :
( ~ member(sK6(sK3,sK2),sK4(X0,sK8(sK3,sK2)))
| ~ apply(sK3,X0,sK8(sK3,sK2))
| ~ member(X0,sK2)
| ~ member(sK8(sK3,sK2),sK2) )
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f161,f44]) ).
fof(f167,definition,
( spl14_10
<=> member(sK8(sK3,sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl14_10])],[avatar_definition]) ).
fof(f168,plain,
( member(sK8(sK3,sK2),sK2)
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f169,plain,
( ~ member(sK8(sK3,sK2),sK2)
| spl14_10 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f175,definition,
( spl14_12
<=> ! [X0] :
( ~ member(sK6(sK3,sK2),sK4(X0,sK8(sK3,sK2)))
| ~ member(X0,sK2)
| ~ apply(sK3,X0,sK8(sK3,sK2)) ) ),
introduced(definition,[new_symbols(definition,[spl14_12])],[avatar_definition]) ).
fof(f176,plain,
( ! [X0] :
( ~ member(sK6(sK3,sK2),sK4(X0,sK8(sK3,sK2)))
| ~ member(X0,sK2)
| ~ apply(sK3,X0,sK8(sK3,sK2)) )
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f177,plain,
( ~ spl14_10
| spl14_12
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f164,f113,f175,f167]) ).
fof(f181,plain,
( ~ sP0(sK3,sK2)
| spl14_10 ),
inference(resolution,[],[f169,f50]) ).
fof(f182,plain,
( $false
| ~ spl14_1
| spl14_10 ),
inference(forward_subsumption_resolution,[],[f181,f110]) ).
fof(f183,plain,
( ~ spl14_1
| spl14_10 ),
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f185,plain,
( ! [X0,X1] :
( ~ member(sK5(X0,sK9(sK2,sK3)),sK1)
| ~ member(sK9(sK2,sK3),X1)
| ~ partition(X0,X1) )
| ~ spl14_8 ),
inference(resolution,[],[f150,f48]) ).
fof(f193,plain,
! [X2,X0,X1] :
( ~ member(X0,sK2)
| ~ member(X1,sK1)
| ~ apply(sK3,X2,X0)
| ~ member(X2,X1)
| ~ member(X2,sK2)
| sK4(X2,X0) = X1
| ~ apply(sK3,X2,X0)
| ~ member(X2,sK2)
| ~ member(X0,sK2) ),
inference(resolution,[],[f73,f43]) ).
fof(f200,plain,
! [X2,X0,X1] :
( sK4(X2,X0) = X1
| ~ member(X1,sK1)
| ~ apply(sK3,X2,X0)
| ~ member(X2,X1)
| ~ member(X2,sK2)
| ~ member(X0,sK2) ),
inference(duplicate_literal_removal,[],[f193]) ).
fof(f209,plain,
( ! [X0,X1] :
( ~ member(sK9(sK2,sK3),X0)
| ~ partition(sK1,X0)
| ~ member(sK9(sK2,sK3),X1)
| ~ partition(sK1,X1) )
| ~ spl14_8 ),
inference(resolution,[],[f185,f49]) ).
fof(f211,definition,
( spl14_13
<=> ! [X1] :
( ~ member(sK9(sK2,sK3),X1)
| ~ partition(sK1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl14_13])],[avatar_definition]) ).
fof(f212,plain,
( ! [X1] :
( ~ member(sK9(sK2,sK3),X1)
| ~ partition(sK1,X1) )
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f213,plain,
( spl14_13
| spl14_13
| ~ spl14_8 ),
inference(avatar_split_clause,[],[f209,f149,f211,f211]) ).
fof(f375,plain,
( ! [X0,X1] :
( ~ member(sK10(sK2,sK3),X0)
| ~ member(sK11(sK2,sK3),X0)
| ~ member(sK10(sK2,sK3),sK2)
| ~ member(X0,sK1)
| equivalence(sK3,sK2)
| sP0(sK3,sK2)
| ~ member(X1,sK1)
| ~ member(sK9(sK2,sK3),X1)
| ~ member(sK9(sK2,sK3),sK2) )
| ~ spl14_9 ),
inference(resolution,[],[f158,f155]) ).
fof(f378,plain,
( ! [X0,X1] :
( ~ member(sK10(sK2,sK3),X0)
| ~ member(sK11(sK2,sK3),X0)
| ~ member(X0,sK1)
| equivalence(sK3,sK2)
| sP0(sK3,sK2)
| ~ member(X1,sK1)
| ~ member(sK9(sK2,sK3),X1)
| ~ member(sK9(sK2,sK3),sK2) )
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f375,f81]) ).
fof(f379,plain,
( ! [X0,X1] :
( ~ member(sK10(sK2,sK3),X0)
| ~ member(sK11(sK2,sK3),X0)
| ~ member(X0,sK1)
| sP0(sK3,sK2)
| ~ member(X1,sK1)
| ~ member(sK9(sK2,sK3),X1)
| ~ member(sK9(sK2,sK3),sK2) )
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f378,f46]) ).
fof(f380,plain,
( ! [X0,X1] :
( ~ member(sK10(sK2,sK3),X0)
| ~ member(sK11(sK2,sK3),X0)
| ~ member(X0,sK1)
| ~ member(X1,sK1)
| ~ member(sK9(sK2,sK3),X1)
| ~ member(sK9(sK2,sK3),sK2) )
| spl14_1
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f379,f111]) ).
fof(f381,plain,
( ! [X0,X1] :
( ~ member(sK10(sK2,sK3),X0)
| ~ member(sK11(sK2,sK3),X0)
| ~ member(X0,sK1)
| ~ member(X1,sK1)
| ~ member(sK9(sK2,sK3),X1) )
| spl14_1
| ~ spl14_3
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f380,f124]) ).
fof(f382,plain,
( spl14_8
| spl14_4
| spl14_1
| ~ spl14_3
| ~ spl14_9 ),
inference(avatar_split_clause,[],[f381,f153,f122,f109,f126,f149]) ).
fof(f399,definition,
( spl14_15
<=> member(sK6(sK3,sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl14_15])],[avatar_definition]) ).
fof(f400,plain,
( member(sK6(sK3,sK2),sK2)
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f401,plain,
( ~ member(sK6(sK3,sK2),sK2)
| spl14_15 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f406,plain,
( ! [X0,X1] :
( ~ member(sK6(sK3,sK2),X0)
| ~ member(X1,sK2)
| ~ apply(sK3,X1,sK8(sK3,sK2))
| ~ member(X0,sK1)
| ~ apply(sK3,X1,sK8(sK3,sK2))
| ~ member(X1,X0)
| ~ member(X1,sK2)
| ~ member(sK8(sK3,sK2),sK2) )
| ~ spl14_12 ),
inference(superposition,[],[f176,f200]) ).
fof(f407,plain,
( ! [X0,X1] :
( ~ member(sK6(sK3,sK2),X0)
| ~ member(X1,sK2)
| ~ apply(sK3,X1,sK8(sK3,sK2))
| ~ member(X0,sK1)
| ~ member(X1,X0)
| ~ member(sK8(sK3,sK2),sK2) )
| ~ spl14_12 ),
inference(duplicate_literal_removal,[],[f406]) ).
fof(f410,plain,
( ! [X0,X1] :
( ~ apply(sK3,X1,sK8(sK3,sK2))
| ~ member(X1,sK2)
| ~ member(sK6(sK3,sK2),X0)
| ~ member(X0,sK1)
| ~ member(X1,X0) )
| ~ spl14_10
| ~ spl14_12 ),
inference(forward_subsumption_resolution,[],[f407,f168]) ).
fof(f417,plain,
( ~ sP0(sK3,sK2)
| spl14_15 ),
inference(resolution,[],[f401,f52]) ).
fof(f418,plain,
( $false
| ~ spl14_1
| spl14_15 ),
inference(forward_subsumption_resolution,[],[f417,f110]) ).
fof(f419,plain,
( ~ spl14_1
| spl14_15 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f459,plain,
( ! [X0] :
( ~ member(sK7(sK3,sK2),sK2)
| ~ member(sK6(sK3,sK2),X0)
| ~ member(X0,sK1)
| ~ member(sK7(sK3,sK2),X0)
| ~ sP0(sK3,sK2) )
| ~ spl14_10
| ~ spl14_12 ),
inference(resolution,[],[f410,f53]) ).
fof(f461,plain,
( ! [X0] :
( ~ member(sK6(sK3,sK2),X0)
| ~ member(X0,sK1)
| ~ member(sK7(sK3,sK2),X0)
| ~ sP0(sK3,sK2) )
| ~ spl14_10
| ~ spl14_12 ),
inference(forward_subsumption_resolution,[],[f459,f51]) ).
fof(f462,plain,
( ! [X0] :
( ~ member(sK7(sK3,sK2),X0)
| ~ member(X0,sK1)
| ~ member(sK6(sK3,sK2),X0) )
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12 ),
inference(forward_subsumption_resolution,[],[f461,f110]) ).
fof(f475,plain,
( ! [X0] :
( ~ member(sK4(X0,sK7(sK3,sK2)),sK1)
| ~ member(sK6(sK3,sK2),sK4(X0,sK7(sK3,sK2)))
| ~ apply(sK3,X0,sK7(sK3,sK2))
| ~ member(X0,sK2)
| ~ member(sK7(sK3,sK2),sK2) )
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12 ),
inference(resolution,[],[f462,f42]) ).
fof(f478,plain,
( ! [X0] :
( ~ member(sK6(sK3,sK2),sK4(X0,sK7(sK3,sK2)))
| ~ apply(sK3,X0,sK7(sK3,sK2))
| ~ member(X0,sK2)
| ~ member(sK7(sK3,sK2),sK2) )
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12 ),
inference(forward_subsumption_resolution,[],[f475,f44]) ).
fof(f480,definition,
( spl14_17
<=> member(sK7(sK3,sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl14_17])],[avatar_definition]) ).
fof(f481,plain,
( member(sK7(sK3,sK2),sK2)
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f482,plain,
( ~ member(sK7(sK3,sK2),sK2)
| spl14_17 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f488,definition,
( spl14_19
<=> ! [X0] :
( ~ member(sK6(sK3,sK2),sK4(X0,sK7(sK3,sK2)))
| ~ member(X0,sK2)
| ~ apply(sK3,X0,sK7(sK3,sK2)) ) ),
introduced(definition,[new_symbols(definition,[spl14_19])],[avatar_definition]) ).
fof(f489,plain,
( ! [X0] :
( ~ member(sK6(sK3,sK2),sK4(X0,sK7(sK3,sK2)))
| ~ member(X0,sK2)
| ~ apply(sK3,X0,sK7(sK3,sK2)) )
| ~ spl14_19 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f490,plain,
( ~ spl14_17
| spl14_19
| ~ spl14_1
| ~ spl14_10
| ~ spl14_12 ),
inference(avatar_split_clause,[],[f478,f175,f167,f109,f488,f480]) ).
fof(f502,plain,
( ~ sP0(sK3,sK2)
| spl14_17 ),
inference(resolution,[],[f482,f51]) ).
fof(f503,plain,
( $false
| ~ spl14_1
| spl14_17 ),
inference(forward_subsumption_resolution,[],[f502,f110]) ).
fof(f504,plain,
( ~ spl14_1
| spl14_17 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f558,plain,
( ~ member(sK6(sK3,sK2),sK2)
| ~ apply(sK3,sK6(sK3,sK2),sK7(sK3,sK2))
| ~ apply(sK3,sK6(sK3,sK2),sK7(sK3,sK2))
| ~ member(sK6(sK3,sK2),sK2)
| ~ member(sK7(sK3,sK2),sK2)
| ~ spl14_19 ),
inference(resolution,[],[f489,f43]) ).
fof(f563,plain,
( ~ member(sK6(sK3,sK2),sK2)
| ~ apply(sK3,sK6(sK3,sK2),sK7(sK3,sK2))
| ~ member(sK7(sK3,sK2),sK2)
| ~ spl14_19 ),
inference(duplicate_literal_removal,[],[f558]) ).
fof(f565,plain,
( ~ apply(sK3,sK6(sK3,sK2),sK7(sK3,sK2))
| ~ member(sK7(sK3,sK2),sK2)
| ~ spl14_15
| ~ spl14_19 ),
inference(forward_subsumption_resolution,[],[f563,f400]) ).
fof(f566,plain,
( ~ apply(sK3,sK6(sK3,sK2),sK7(sK3,sK2))
| ~ spl14_15
| ~ spl14_17
| ~ spl14_19 ),
inference(forward_subsumption_resolution,[],[f565,f481]) ).
fof(f578,plain,
( ~ sP0(sK3,sK2)
| ~ spl14_15
| ~ spl14_17
| ~ spl14_19 ),
inference(resolution,[],[f566,f54]) ).
fof(f579,plain,
( $false
| ~ spl14_1
| ~ spl14_15
| ~ spl14_17
| ~ spl14_19 ),
inference(forward_subsumption_resolution,[],[f578,f110]) ).
fof(f580,plain,
( ~ spl14_1
| ~ spl14_15
| ~ spl14_17
| ~ spl14_19 ),
inference(avatar_contradiction_clause,[],[f579]) ).
fof(f596,plain,
( ! [X0] :
( ~ member(sK4(X0,sK11(sK2,sK3)),sK1)
| ~ member(sK10(sK2,sK3),sK4(X0,sK11(sK2,sK3)))
| ~ apply(sK3,X0,sK11(sK2,sK3))
| ~ member(X0,sK2)
| ~ member(sK11(sK2,sK3),sK2) )
| ~ spl14_4 ),
inference(resolution,[],[f127,f42]) ).
fof(f599,plain,
( ! [X0] :
( ~ member(sK10(sK2,sK3),sK4(X0,sK11(sK2,sK3)))
| ~ apply(sK3,X0,sK11(sK2,sK3))
| ~ member(X0,sK2)
| ~ member(sK11(sK2,sK3),sK2) )
| ~ spl14_4 ),
inference(forward_subsumption_resolution,[],[f596,f44]) ).
fof(f601,plain,
( ! [X0] :
( ~ member(sK10(sK2,sK3),sK4(X0,sK11(sK2,sK3)))
| ~ apply(sK3,X0,sK11(sK2,sK3))
| ~ member(X0,sK2) )
| ~ spl14_4
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f599,f155]) ).
fof(f611,plain,
( ~ apply(sK3,sK10(sK2,sK3),sK11(sK2,sK3))
| ~ member(sK10(sK2,sK3),sK2)
| ~ apply(sK3,sK10(sK2,sK3),sK11(sK2,sK3))
| ~ member(sK10(sK2,sK3),sK2)
| ~ member(sK11(sK2,sK3),sK2)
| ~ spl14_4
| ~ spl14_9 ),
inference(resolution,[],[f601,f43]) ).
fof(f616,plain,
( ~ apply(sK3,sK10(sK2,sK3),sK11(sK2,sK3))
| ~ member(sK10(sK2,sK3),sK2)
| ~ member(sK11(sK2,sK3),sK2)
| ~ spl14_4
| ~ spl14_9 ),
inference(duplicate_literal_removal,[],[f611]) ).
fof(f618,plain,
( ~ apply(sK3,sK10(sK2,sK3),sK11(sK2,sK3))
| ~ member(sK11(sK2,sK3),sK2)
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f616,f147]) ).
fof(f619,plain,
( ~ apply(sK3,sK10(sK2,sK3),sK11(sK2,sK3))
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f618,f155]) ).
fof(f621,plain,
( ! [X0] :
( ~ member(sK9(sK2,sK3),X0)
| ~ member(sK9(sK2,sK3),sK2)
| equivalence(sK3,sK2)
| ~ member(X0,sK1)
| sP0(sK3,sK2) )
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9 ),
inference(resolution,[],[f619,f80]) ).
fof(f623,plain,
( member(sK9(sK2,sK3),sK2)
| equivalence(sK3,sK2)
| sP0(sK3,sK2)
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9 ),
inference(resolution,[],[f619,f58]) ).
fof(f624,plain,
( ! [X0] :
( ~ member(sK9(sK2,sK3),X0)
| equivalence(sK3,sK2)
| ~ member(X0,sK1)
| sP0(sK3,sK2) )
| ~ spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f621,f124]) ).
fof(f625,plain,
( ! [X0] :
( ~ member(sK9(sK2,sK3),X0)
| ~ member(X0,sK1)
| sP0(sK3,sK2) )
| ~ spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f624,f46]) ).
fof(f626,plain,
( ! [X0] :
( ~ member(sK9(sK2,sK3),X0)
| ~ member(X0,sK1) )
| spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f625,f111]) ).
fof(f627,plain,
( spl14_8
| spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9 ),
inference(avatar_split_clause,[],[f626,f153,f145,f126,f122,f109,f149]) ).
fof(f636,plain,
( ~ partition(sK1,sK2)
| ~ spl14_3
| ~ spl14_13 ),
inference(resolution,[],[f212,f124]) ).
fof(f640,plain,
( $false
| ~ spl14_3
| ~ spl14_13 ),
inference(forward_subsumption_resolution,[],[f636,f41]) ).
fof(f641,plain,
( ~ spl14_3
| ~ spl14_13 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f642,plain,
( equivalence(sK3,sK2)
| sP0(sK3,sK2)
| spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f623,f123]) ).
fof(f643,plain,
( sP0(sK3,sK2)
| spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f642,f46]) ).
fof(f644,plain,
( $false
| spl14_1
| spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f643,f111]) ).
fof(f645,plain,
( spl14_1
| spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f646,plain,
( member(sK9(sK2,sK3),sK2)
| equivalence(sK3,sK2)
| sP0(sK3,sK2)
| spl14_7 ),
inference(resolution,[],[f146,f57]) ).
fof(f647,plain,
( equivalence(sK3,sK2)
| sP0(sK3,sK2)
| spl14_3
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f646,f123]) ).
fof(f648,plain,
( sP0(sK3,sK2)
| spl14_3
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f647,f46]) ).
fof(f649,plain,
( $false
| spl14_1
| spl14_3
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f648,f111]) ).
fof(f650,plain,
( spl14_1
| spl14_3
| spl14_7 ),
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f652,plain,
( member(sK9(sK2,sK3),sK2)
| equivalence(sK3,sK2)
| sP0(sK3,sK2)
| spl14_9 ),
inference(resolution,[],[f154,f56]) ).
fof(f653,plain,
( equivalence(sK3,sK2)
| sP0(sK3,sK2)
| spl14_3
| spl14_9 ),
inference(forward_subsumption_resolution,[],[f652,f123]) ).
fof(f654,plain,
( sP0(sK3,sK2)
| spl14_3
| spl14_9 ),
inference(forward_subsumption_resolution,[],[f653,f46]) ).
fof(f655,plain,
( $false
| spl14_1
| spl14_3
| spl14_9 ),
inference(forward_subsumption_resolution,[],[f654,f111]) ).
fof(f656,plain,
( spl14_1
| spl14_3
| spl14_9 ),
inference(avatar_contradiction_clause,[],[f655]) ).
cnf(s1,plain,
( ~ spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f115]) ).
cnf(s2,plain,
( spl14_1
| spl14_3
| spl14_4 ),
inference(sat_conversion,[],[f128]) ).
cnf(s4,plain,
( spl14_1
| ~ spl14_3
| spl14_7
| spl14_8 ),
inference(sat_conversion,[],[f151]) ).
cnf(s5,plain,
( spl14_1
| ~ spl14_3
| spl14_8
| spl14_9 ),
inference(sat_conversion,[],[f156]) ).
cnf(s7,plain,
( ~ spl14_2
| ~ spl14_10
| spl14_12 ),
inference(sat_conversion,[],[f177]) ).
cnf(s8,plain,
( ~ spl14_1
| spl14_10 ),
inference(sat_conversion,[],[f183]) ).
cnf(s9,plain,
( spl14_13
| ~ spl14_8
| spl14_13 ),
inference(sat_conversion,[],[f213]) ).
cnf(s10,plain,
( ~ spl14_8
| spl14_13 ),
inference(rat,[],[s9]) ).
cnf(s11,plain,
( spl14_1
| ~ spl14_3
| spl14_4
| spl14_8
| ~ spl14_9 ),
inference(sat_conversion,[],[f382]) ).
cnf(s14,plain,
( ~ spl14_1
| spl14_15 ),
inference(sat_conversion,[],[f419]) ).
cnf(s16,plain,
( ~ spl14_1
| ~ spl14_10
| ~ spl14_12
| ~ spl14_17
| spl14_19 ),
inference(sat_conversion,[],[f490]) ).
cnf(s17,plain,
( ~ spl14_1
| spl14_17 ),
inference(sat_conversion,[],[f504]) ).
cnf(s18,plain,
( ~ spl14_1
| ~ spl14_15
| ~ spl14_17
| ~ spl14_19 ),
inference(sat_conversion,[],[f580]) ).
cnf(s21,plain,
( spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_7
| spl14_8
| ~ spl14_9 ),
inference(sat_conversion,[],[f627]) ).
cnf(s22,plain,
( ~ spl14_3
| ~ spl14_13 ),
inference(sat_conversion,[],[f641]) ).
cnf(s23,plain,
( spl14_1
| spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9 ),
inference(sat_conversion,[],[f645]) ).
cnf(s24,plain,
( spl14_1
| spl14_3
| spl14_7 ),
inference(sat_conversion,[],[f650]) ).
cnf(s25,plain,
( spl14_1
| spl14_3
| spl14_9 ),
inference(sat_conversion,[],[f656]) ).
cnf(s26,plain,
( spl14_3
| ~ spl14_9
| spl14_1
| ~ spl14_7 ),
inference(rat,[],[s2,s23]) ).
cnf(s27,plain,
( spl14_3
| spl14_1 ),
inference(rat,[],[s26,s24,s25]) ).
cnf(s28,plain,
( spl14_8
| ~ spl14_9
| spl14_1
| ~ spl14_3 ),
inference(rat,[],[s21,s4,s11]) ).
cnf(s29,plain,
( spl14_8
| ~ spl14_3
| spl14_1 ),
inference(rat,[],[s28,s5]) ).
cnf(s30,plain,
spl14_1,
inference(rat,[],[s29,s10,s22,s27]) ).
cnf(s31,plain,
spl14_17,
inference(rat,[],[s17,s30]) ).
cnf(s32,plain,
spl14_15,
inference(rat,[],[s14,s30]) ).
cnf(s33,plain,
spl14_10,
inference(rat,[],[s8,s30]) ).
cnf(s34,plain,
spl14_2,
inference(rat,[],[s1,s30]) ).
cnf(s35,plain,
~ spl14_19,
inference(rat,[],[s18,s30,s31,s32]) ).
cnf(s36,plain,
~ spl14_12,
inference(rat,[],[s16,s35,s31,s30,s33]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s7,s36,s33,s34]) ).
fof(f657,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET772+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.61 % Computer : n005.cluster.edu
% 0.10/5.61 % Model : x86_64 x86_64
% 0.10/5.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.61 % Memory : 8046.5625MB
% 0.10/5.61 % OS : Linux 6.8.0-71-generic
% 0.10/5.61 % CPULimit : 300
% 0.10/5.61 % WCLimit : 300
% 0.10/5.61 % DateTime : Mon Sep 28 02:46:08 UTC 2026
% 0.10/5.61 % CPUTime :
% 0.10/5.61 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.65 Running first-order theorem proving
% 0.10/5.65 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.01/6.56 % (382832)Detected formulas, will run a generic FOF schedule.
% 3.01/6.56 % (382841)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=107925576:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.01/6.56 % (382840)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3097579411:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.01/6.56 % (382842)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2280601308:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.01/6.56 % (382838)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=3204274923:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.01/6.56 % (382843)dis-21_1_sil=8000:lcm=predicate:random_seed=2988683943: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)
% 3.01/6.56 % (382839)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=1193204061:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.01/6.56 % (382837)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=3931671131:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.01/6.56 % (382841)Instruction limit reached!
% 3.01/6.56 % (382841)------------------------------
% 3.01/6.56 % (382841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/6.56 % (382841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/6.56 % (382841)CaDiCaL version: 2.1.3
% 3.01/6.56 % (382841)Termination reason: Instruction limit
% 3.01/6.56 % (382841)Termination phase: Saturation
% 3.01/6.56 % (382841)Time elapsed: 0.037 s
% 3.01/6.56 % (382841)Peak memory usage: 88 MB
% 3.01/6.56 % (382841)Instructions burned: 121 (million)
% 3.01/6.56 % (382840)First to succeed.
% 3.01/6.56 % (382840)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-382832"
% 3.01/6.56 % (382843)Instruction limit reached!
% 3.01/6.56 % (382843)------------------------------
% 3.01/6.56 % (382843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/6.56 % (382843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/6.56 % (382843)CaDiCaL version: 2.1.3
% 3.01/6.56 % (382843)Termination reason: Instruction limit
% 3.01/6.56 % (382843)Termination phase: Saturation
% 3.01/6.56 % (382843)Time elapsed: 0.077 s
% 3.01/6.56 % (382843)Peak memory usage: 89 MB
% 3.01/6.56 % (382843)Instructions burned: 130 (million)
% 3.01/6.56 % (382842)Instruction limit reached!
% 3.01/6.56 % (382842)------------------------------
% 3.01/6.56 % (382842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/6.56 % (382842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/6.56 % (382842)CaDiCaL version: 2.1.3
% 3.01/6.56 % (382842)Termination reason: Instruction limit
% 3.01/6.56 % (382842)Termination phase: Saturation
% 3.01/6.56 % (382842)Time elapsed: 0.092 s
% 3.01/6.56 % (382842)Peak memory usage: 89 MB
% 3.01/6.56 % (382842)Instructions burned: 139 (million)
% 3.01/6.56 % (382851)lrs+10_1_sil=8000:sp=occurrence:random_seed=2903280794:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.01/6.56 % (382852)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1821986737:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.01/6.56 % (382852)Refutation not found, incomplete strategy
% 3.01/6.56 % (382852)------------------------------
% 3.01/6.56 % (382852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/6.56 % (382852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/6.56 % (382852)CaDiCaL version: 2.1.3
% 3.01/6.56 % (382852)Termination reason: Refutation not found, incomplete strategy
% 3.01/6.56 % (382852)Time elapsed: 0.002 s
% 3.01/6.56 % (382852)Peak memory usage: 88 MB
% 3.01/6.56 % (382852)Instructions burned: 2 (million)
% 3.01/6.56 % (382851)Instruction limit reached!
% 3.01/6.56 % (382851)------------------------------
% 3.01/6.56 % (382851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/6.56 % (382851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/6.56 % (382851)CaDiCaL version: 2.1.3
% 3.01/6.56 % (382851)Termination reason: Instruction limit
% 3.01/6.56 % (382851)Termination phase: Saturation
% 3.01/6.56 % (382851)Time elapsed: 0.092 s
% 3.01/6.56 % (382851)Peak memory usage: 91 MB
% 3.01/6.56 % (382851)Instructions burned: 287 (million)
% 3.01/6.56 % (382853)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1801860351:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.01/6.56 % (382840)Refutation found. Thanks to Tanya!
% 3.01/6.56 % SZS status Theorem for theBenchmark
% 3.01/6.56 % SZS output start Proof for theBenchmark
% See solution above
% 3.80/6.66 % (382840)------------------------------
% 3.80/6.66 % (382840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/6.66 % (382840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/6.66 % (382840)CaDiCaL version: 2.1.3
% 3.80/6.66 % (382840)Termination reason: Refutation
% 3.80/6.66 % (382840)Time elapsed: 0.033 s
% 3.80/6.66 % (382840)Peak memory usage: 89 MB
% 3.80/6.66 % (382840)Instructions burned: 54 (million)
% 3.80/6.66 % (382840)------------------------------
% 3.80/6.66 % (382840)------------------------------
% 3.80/6.66 % (382832)Success in time 0.468 s
% 3.80/6.66 % Vampire exiting
%------------------------------------------------------------------------------