%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET808+4 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:41:58 PM UTC 2026
% Result : Theorem 48.15s 7.69s
% Output : Refutation 48.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 30
% Syntax : Number of formulae : 248 ( 22 unt; 22 def)
% Number of atoms : 908 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1123 ( 463 ~; 508 |; 103 &)
% ( 35 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 22 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 294 ( 0 sgn 263 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f12,axiom,
! [X0] :
( member(X0,on)
<=> ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X1] :
( member(X1,X0)
=> subset(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinal_number) ).
fof(f13,axiom,
! [X0,X1] :
( strict_well_order(X0,X1)
<=> ( strict_order(X0,X1)
& ! [X2] :
( ( subset(X2,X1)
& ? [X3] : member(X3,X2) )
=> ? [X4] : least(X4,X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strict_well_order) ).
fof(f15,axiom,
! [X0,X1] :
( apply(member_predicate,X0,X1)
<=> member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rel_member) ).
fof(f16,axiom,
! [X0,X1] :
( strict_order(X0,X1)
<=> ( ! [X2,X3] :
( ( member(X2,X1)
& member(X3,X1) )
=> ~ ( apply(X0,X2,X3)
& apply(X0,X3,X2) ) )
& ! [X2,X3,X4] :
( ( member(X2,X1)
& member(X3,X1)
& member(X4,X1) )
=> ( ( apply(X0,X2,X3)
& apply(X0,X3,X4) )
=> apply(X0,X2,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strict_order) ).
fof(f17,axiom,
! [X0] :
( set(X0)
=> ! [X1] :
( member(X1,X0)
=> set(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_member) ).
fof(f20,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI3) ).
fof(f21,conjecture,
! [X0] :
( member(X0,on)
=> subset(X0,on) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thV1) ).
fof(f22,negated_conjecture,
~ ! [X0] :
( member(X0,on)
=> subset(X0,on) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( strict_order(X0,X1)
<=> ( ! [X2,X3] :
( ( member(X2,X1)
& member(X3,X1) )
=> ~ ( apply(X0,X2,X3)
& apply(X0,X3,X2) ) )
& ! [X4,X5,X6] :
( ( member(X4,X1)
& member(X5,X1)
& member(X6,X1) )
=> ( ( apply(X0,X4,X5)
& apply(X0,X5,X6) )
=> apply(X0,X4,X6) ) ) ) ),
inference(rectify,[],[f16]) ).
fof(f24,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f25,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
? [X0] :
( ~ subset(X0,on)
& member(X0,on) ),
inference(ennf_transformation,[],[f22]) ).
fof(f27,plain,
! [X0,X1] :
( strict_well_order(X0,X1)
<=> ( strict_order(X0,X1)
& ! [X2] :
( ? [X4] : least(X4,X0,X2)
| ~ subset(X2,X1)
| ! [X3] : ~ member(X3,X2) ) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f28,plain,
! [X0,X1] :
( strict_well_order(X0,X1)
<=> ( strict_order(X0,X1)
& ! [X2] :
( ? [X4] : least(X4,X0,X2)
| ~ subset(X2,X1)
| ! [X3] : ~ member(X3,X2) ) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( member(X0,on)
<=> ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X1] :
( subset(X1,X0)
| ~ member(X1,X0) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f31,plain,
! [X0,X1] :
( strict_order(X0,X1)
<=> ( ! [X2,X3] :
( ~ apply(X0,X2,X3)
| ~ apply(X0,X3,X2)
| ~ member(X2,X1)
| ~ member(X3,X1) )
& ! [X4,X5,X6] :
( apply(X0,X4,X6)
| ~ apply(X0,X4,X5)
| ~ apply(X0,X5,X6)
| ~ member(X4,X1)
| ~ member(X5,X1)
| ~ member(X6,X1) ) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f32,plain,
! [X0,X1] :
( strict_order(X0,X1)
<=> ( ! [X2,X3] :
( ~ apply(X0,X2,X3)
| ~ apply(X0,X3,X2)
| ~ member(X2,X1)
| ~ member(X3,X1) )
& ! [X4,X5,X6] :
( apply(X0,X4,X6)
| ~ apply(X0,X4,X5)
| ~ apply(X0,X5,X6)
| ~ member(X4,X1)
| ~ member(X5,X1)
| ~ member(X6,X1) ) ) ),
inference(flattening,[],[f31]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( set(X1)
| ~ member(X1,X0) )
| ~ set(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f36,definition,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X4,X5,X6] :
( apply(X0,X4,X6)
| ~ apply(X0,X4,X5)
| ~ apply(X0,X5,X6)
| ~ member(X4,X1)
| ~ member(X5,X1)
| ~ member(X6,X1) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f37,plain,
! [X0,X1] :
( strict_order(X0,X1)
<=> ( ! [X2,X3] :
( ~ apply(X0,X2,X3)
| ~ apply(X0,X3,X2)
| ~ member(X2,X1)
| ~ member(X3,X1) )
& sP0(X0,X1) ) ),
inference(definition_folding,[],[f32,f36]) ).
fof(f38,plain,
( ~ subset(sK1,on)
& member(sK1,on) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f26]) ).
fof(f39,plain,
! [X0,X1] :
( ( strict_well_order(X0,X1)
| ~ strict_order(X0,X1)
| ? [X2] :
( ! [X4] : ~ least(X4,X0,X2)
& subset(X2,X1)
& ? [X3] : member(X3,X2) ) )
& ( ( strict_order(X0,X1)
& ! [X2] :
( ? [X4] : least(X4,X0,X2)
| ~ subset(X2,X1)
| ! [X3] : ~ member(X3,X2) ) )
| ~ strict_well_order(X0,X1) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f40,plain,
! [X0,X1] :
( ( strict_well_order(X0,X1)
| ~ strict_order(X0,X1)
| ? [X2] :
( ! [X4] : ~ least(X4,X0,X2)
& subset(X2,X1)
& ? [X3] : member(X3,X2) ) )
& ( ( strict_order(X0,X1)
& ! [X2] :
( ? [X4] : least(X4,X0,X2)
| ~ subset(X2,X1)
| ! [X3] : ~ member(X3,X2) ) )
| ~ strict_well_order(X0,X1) ) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ( strict_well_order(X0,X1)
| ~ strict_order(X0,X1)
| ? [X2] :
( ! [X3] : ~ least(X3,X0,X2)
& subset(X2,X1)
& ? [X4] : member(X4,X2) ) )
& ( ( strict_order(X0,X1)
& ! [X5] :
( ? [X6] : least(X6,X0,X5)
| ~ subset(X5,X1)
| ! [X7] : ~ member(X7,X5) ) )
| ~ strict_well_order(X0,X1) ) ),
inference(rectify,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ( strict_well_order(X0,X1)
| ~ strict_order(X0,X1)
| ( ! [X3] : ~ least(X3,X0,sK2(X0,X1))
& subset(sK2(X0,X1),X1)
& member(sK3(X0,X1),sK2(X0,X1)) ) )
& ( ( strict_order(X0,X1)
& ! [X5] :
( least(sK4(X0,X5),X0,X5)
| ~ subset(X5,X1)
| ! [X7] : ~ member(X7,X5) ) )
| ~ strict_well_order(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X2,sK2(X0,X1)),skolemize(X4,sK3(X0,X1)),skolemize(X6,sK4(X0,X5))],[f41]) ).
fof(f43,plain,
! [X0] :
( ( member(X0,on)
| ~ set(X0)
| ~ strict_well_order(member_predicate,X0)
| ? [X1] :
( ~ subset(X1,X0)
& member(X1,X0) ) )
& ( ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X1] :
( subset(X1,X0)
| ~ member(X1,X0) ) )
| ~ member(X0,on) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f44,plain,
! [X0] :
( ( member(X0,on)
| ~ set(X0)
| ~ strict_well_order(member_predicate,X0)
| ? [X1] :
( ~ subset(X1,X0)
& member(X1,X0) ) )
& ( ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X1] :
( subset(X1,X0)
| ~ member(X1,X0) ) )
| ~ member(X0,on) ) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0] :
( ( member(X0,on)
| ~ set(X0)
| ~ strict_well_order(member_predicate,X0)
| ? [X1] :
( ~ subset(X1,X0)
& member(X1,X0) ) )
& ( ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X2] :
( subset(X2,X0)
| ~ member(X2,X0) ) )
| ~ member(X0,on) ) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0] :
( ( member(X0,on)
| ~ set(X0)
| ~ strict_well_order(member_predicate,X0)
| ( ~ subset(sK5(X0),X0)
& member(sK5(X0),X0) ) )
& ( ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X2] :
( subset(X2,X0)
| ~ member(X2,X0) ) )
| ~ member(X0,on) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f45]) ).
fof(f50,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f51,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK6(X0,X1),X1)
& member(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X4,X5,X6] :
( ~ apply(X0,X4,X6)
& apply(X0,X4,X5)
& apply(X0,X5,X6)
& member(X4,X1)
& member(X5,X1)
& member(X6,X1) ) )
& ( ! [X4,X5,X6] :
( apply(X0,X4,X6)
| ~ apply(X0,X4,X5)
| ~ apply(X0,X5,X6)
| ~ member(X4,X1)
| ~ member(X5,X1)
| ~ member(X6,X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f54,plain,
! [X0,X1] :
( ( sP0(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) ) )
& ( ! [X5,X6,X7] :
( apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X6,X7)
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ apply(X0,sK7(X0,X1),sK9(X0,X1))
& apply(X0,sK7(X0,X1),sK8(X0,X1))
& apply(X0,sK8(X0,X1),sK9(X0,X1))
& member(sK7(X0,X1),X1)
& member(sK8(X0,X1),X1)
& member(sK9(X0,X1),X1) ) )
& ( ! [X5,X6,X7] :
( apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X6,X7)
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X3,sK8(X0,X1)),skolemize(X4,sK9(X0,X1))],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ( strict_order(X0,X1)
| ? [X2,X3] :
( apply(X0,X2,X3)
& apply(X0,X3,X2)
& member(X2,X1)
& member(X3,X1) )
| ~ sP0(X0,X1) )
& ( ( ! [X2,X3] :
( ~ apply(X0,X2,X3)
| ~ apply(X0,X3,X2)
| ~ member(X2,X1)
| ~ member(X3,X1) )
& sP0(X0,X1) )
| ~ strict_order(X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f57,plain,
! [X0,X1] :
( ( strict_order(X0,X1)
| ? [X2,X3] :
( apply(X0,X2,X3)
& apply(X0,X3,X2)
& member(X2,X1)
& member(X3,X1) )
| ~ sP0(X0,X1) )
& ( ( ! [X2,X3] :
( ~ apply(X0,X2,X3)
| ~ apply(X0,X3,X2)
| ~ member(X2,X1)
| ~ member(X3,X1) )
& sP0(X0,X1) )
| ~ strict_order(X0,X1) ) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ( strict_order(X0,X1)
| ? [X2,X3] :
( apply(X0,X2,X3)
& apply(X0,X3,X2)
& member(X2,X1)
& member(X3,X1) )
| ~ sP0(X0,X1) )
& ( ( ! [X4,X5] :
( ~ apply(X0,X4,X5)
| ~ apply(X0,X5,X4)
| ~ member(X4,X1)
| ~ member(X5,X1) )
& sP0(X0,X1) )
| ~ strict_order(X0,X1) ) ),
inference(rectify,[],[f57]) ).
fof(f59,plain,
! [X0,X1] :
( ( strict_order(X0,X1)
| ( apply(X0,sK10(X0,X1),sK11(X0,X1))
& apply(X0,sK11(X0,X1),sK10(X0,X1))
& member(sK10(X0,X1),X1)
& member(sK11(X0,X1),X1) )
| ~ sP0(X0,X1) )
& ( ( ! [X4,X5] :
( ~ apply(X0,X4,X5)
| ~ apply(X0,X5,X4)
| ~ member(X4,X1)
| ~ member(X5,X1) )
& sP0(X0,X1) )
| ~ strict_order(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X2,sK10(X0,X1)),skolemize(X3,sK11(X0,X1))],[f58]) ).
fof(f64,plain,
! [X0,X1] :
( ( apply(member_predicate,X0,X1)
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ apply(member_predicate,X0,X1) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f74,plain,
member(sK1,on),
inference(cnf_transformation,[],[f38]) ).
fof(f75,plain,
~ subset(sK1,on),
inference(cnf_transformation,[],[f38]) ).
fof(f76,plain,
! [X0,X1,X7,X5] :
( ~ strict_well_order(X0,X1)
| ~ subset(X5,X1)
| ~ member(X7,X5)
| least(sK4(X0,X5),X0,X5) ),
inference(cnf_transformation,[],[f42]) ).
fof(f77,plain,
! [X0,X1] :
( ~ strict_well_order(X0,X1)
| strict_order(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f78,plain,
! [X0,X1] :
( member(sK3(X0,X1),sK2(X0,X1))
| ~ strict_order(X0,X1)
| strict_well_order(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f79,plain,
! [X0,X1] :
( subset(sK2(X0,X1),X1)
| ~ strict_order(X0,X1)
| strict_well_order(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f80,plain,
! [X3,X0,X1] :
( ~ least(X3,X0,sK2(X0,X1))
| ~ strict_order(X0,X1)
| strict_well_order(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f81,plain,
! [X2,X0] :
( ~ member(X0,on)
| ~ member(X2,X0)
| subset(X2,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f82,plain,
! [X0] :
( ~ member(X0,on)
| strict_well_order(member_predicate,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f83,plain,
! [X0] :
( ~ member(X0,on)
| set(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f84,plain,
! [X0] :
( ~ strict_well_order(member_predicate,X0)
| ~ set(X0)
| member(X0,on)
| member(sK5(X0),X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f85,plain,
! [X0] :
( ~ subset(sK5(X0),X0)
| ~ set(X0)
| ~ strict_well_order(member_predicate,X0)
| member(X0,on) ),
inference(cnf_transformation,[],[f46]) ).
fof(f91,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f92,plain,
! [X0,X1] :
( member(sK6(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f93,plain,
! [X0,X1] :
( ~ member(sK6(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f94,plain,
! [X0,X1,X6,X7,X5] :
( ~ sP0(X0,X1)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X6,X7)
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X1)
| apply(X0,X5,X7) ),
inference(cnf_transformation,[],[f55]) ).
fof(f95,plain,
! [X0,X1] :
( member(sK9(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f96,plain,
! [X0,X1] :
( member(sK8(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f97,plain,
! [X0,X1] :
( member(sK7(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f98,plain,
! [X0,X1] :
( apply(X0,sK8(X0,X1),sK9(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f99,plain,
! [X0,X1] :
( apply(X0,sK7(X0,X1),sK8(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f100,plain,
! [X0,X1] :
( ~ apply(X0,sK7(X0,X1),sK9(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f101,plain,
! [X0,X1] :
( ~ strict_order(X0,X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f102,plain,
! [X0,X1,X4,X5] :
( ~ apply(X0,X4,X5)
| ~ apply(X0,X5,X4)
| ~ member(X4,X1)
| ~ member(X5,X1)
| ~ strict_order(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f103,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| member(sK11(X0,X1),X1)
| strict_order(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f104,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| member(sK10(X0,X1),X1)
| strict_order(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f105,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| apply(X0,sK11(X0,X1),sK10(X0,X1))
| strict_order(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f106,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| apply(X0,sK10(X0,X1),sK11(X0,X1))
| strict_order(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f112,plain,
! [X0,X1] :
( ~ set(X0)
| ~ member(X1,X0)
| set(X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f113,plain,
! [X0,X1] :
( ~ apply(member_predicate,X0,X1)
| member(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f114,plain,
! [X0,X1] :
( apply(member_predicate,X0,X1)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f131,plain,
! [X0] :
( ~ member(X0,sK1)
| subset(X0,sK1) ),
inference(resolution,[],[f74,f81]) ).
fof(f134,plain,
! [X0] :
( subset(sK6(sK1,X0),sK1)
| subset(sK1,X0) ),
inference(resolution,[],[f92,f131]) ).
fof(f136,plain,
strict_well_order(member_predicate,sK1),
inference(resolution,[],[f82,f74]) ).
fof(f138,plain,
set(sK1),
inference(resolution,[],[f83,f74]) ).
fof(f140,plain,
strict_order(member_predicate,sK1),
inference(resolution,[],[f77,f136]) ).
fof(f147,plain,
! [X0,X1] :
( ~ member(X0,sK6(sK1,X1))
| member(X0,sK1)
| subset(sK1,X1) ),
inference(resolution,[],[f91,f134]) ).
fof(f151,plain,
sP0(member_predicate,sK1),
inference(resolution,[],[f101,f140]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ member(X2,sK1)
| ~ apply(member_predicate,X1,X2)
| ~ member(X0,sK1)
| ~ member(X1,sK1)
| ~ apply(member_predicate,X0,X1)
| apply(member_predicate,X0,X2) ),
inference(resolution,[],[f94,f151]) ).
fof(f622,plain,
! [X0] :
( ~ member(X0,sK1)
| set(X0) ),
inference(resolution,[],[f112,f138]) ).
fof(f1039,plain,
! [X0,X1] :
( ~ subset(X0,sK1)
| ~ member(X1,X0)
| least(sK4(member_predicate,X0),member_predicate,X0) ),
inference(resolution,[],[f76,f136]) ).
fof(f2432,definition,
( spl13_28
<=> member(sK6(sK1,on),on) ),
introduced(definition,[new_symbols(definition,[spl13_28])],[avatar_definition]) ).
fof(f2433,plain,
( ~ member(sK6(sK1,on),on)
| spl13_28 ),
inference(avatar_component_clause,[],[f2432]) ).
fof(f3171,definition,
( spl13_41
<=> subset(sK6(sK1,on),sK1) ),
introduced(definition,[new_symbols(definition,[spl13_41])],[avatar_definition]) ).
fof(f3172,plain,
( subset(sK6(sK1,on),sK1)
| ~ spl13_41 ),
inference(avatar_component_clause,[],[f3171]) ).
fof(f5100,definition,
( spl13_187
<=> member(sK6(sK1,on),sK1) ),
introduced(definition,[new_symbols(definition,[spl13_187])],[avatar_definition]) ).
fof(f5101,plain,
( member(sK6(sK1,on),sK1)
| ~ spl13_187 ),
inference(avatar_component_clause,[],[f5100]) ).
fof(f5272,definition,
( spl13_226
<=> ! [X0] :
( member(sK8(X0,sK6(sK1,on)),sK1)
| sP0(X0,sK6(sK1,on)) ) ),
introduced(definition,[new_symbols(definition,[spl13_226])],[avatar_definition]) ).
fof(f5273,plain,
( ! [X0] :
( member(sK8(X0,sK6(sK1,on)),sK1)
| sP0(X0,sK6(sK1,on)) )
| ~ spl13_226 ),
inference(avatar_component_clause,[],[f5272]) ).
fof(f5312,definition,
( spl13_236
<=> set(sK6(sK1,on)) ),
introduced(definition,[new_symbols(definition,[spl13_236])],[avatar_definition]) ).
fof(f5313,plain,
( set(sK6(sK1,on))
| ~ spl13_236 ),
inference(avatar_component_clause,[],[f5312]) ).
fof(f5373,definition,
( spl13_251
<=> ! [X0] :
( ~ subset(X0,sK6(sK1,on))
| subset(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl13_251])],[avatar_definition]) ).
fof(f5374,plain,
( ! [X0] :
( ~ subset(X0,sK6(sK1,on))
| subset(X0,sK1) )
| ~ spl13_251 ),
inference(avatar_component_clause,[],[f5373]) ).
fof(f5377,definition,
( spl13_252
<=> ! [X0] :
( ~ member(X0,sK6(sK1,on))
| member(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl13_252])],[avatar_definition]) ).
fof(f5378,plain,
( ! [X0] :
( ~ member(X0,sK6(sK1,on))
| member(X0,sK1) )
| ~ spl13_252 ),
inference(avatar_component_clause,[],[f5377]) ).
fof(f14024,plain,
( ! [X0] :
( ~ subset(X0,sK6(sK1,on))
| subset(X0,sK1) )
| ~ spl13_41 ),
inference(resolution,[],[f3172,f73]) ).
fof(f14025,plain,
( ! [X0] :
( ~ member(X0,sK6(sK1,on))
| member(X0,sK1) )
| ~ spl13_41 ),
inference(resolution,[],[f3172,f91]) ).
fof(f14026,plain,
( spl13_252
| ~ spl13_41 ),
inference(avatar_split_clause,[],[f14025,f3171,f5377]) ).
fof(f14027,plain,
( spl13_251
| ~ spl13_41 ),
inference(avatar_split_clause,[],[f14024,f3171,f5373]) ).
fof(f14031,plain,
( subset(sK6(sK1,on),sK1)
| ~ spl13_187 ),
inference(resolution,[],[f5101,f131]) ).
fof(f14039,plain,
( set(sK6(sK1,on))
| ~ spl13_187 ),
inference(resolution,[],[f5101,f622]) ).
fof(f14147,plain,
( ! [X0] :
( ~ strict_order(X0,sK6(sK1,on))
| subset(sK2(X0,sK6(sK1,on)),sK1)
| strict_well_order(X0,sK6(sK1,on)) )
| ~ spl13_251 ),
inference(resolution,[],[f5374,f79]) ).
fof(f14289,plain,
( ! [X0] :
( member(sK8(X0,sK6(sK1,on)),sK1)
| sP0(X0,sK6(sK1,on)) )
| ~ spl13_252 ),
inference(resolution,[],[f5378,f96]) ).
fof(f14298,plain,
( spl13_226
| ~ spl13_252 ),
inference(avatar_split_clause,[],[f14289,f5377,f5272]) ).
fof(f14452,definition,
( spl13_531
<=> sP0(member_predicate,sK6(sK1,on)) ),
introduced(definition,[new_symbols(definition,[spl13_531])],[avatar_definition]) ).
fof(f14453,plain,
( sP0(member_predicate,sK6(sK1,on))
| ~ spl13_531 ),
inference(avatar_component_clause,[],[f14452]) ).
fof(f14455,plain,
( apply(member_predicate,sK11(member_predicate,sK6(sK1,on)),sK10(member_predicate,sK6(sK1,on)))
| strict_order(member_predicate,sK6(sK1,on))
| ~ spl13_531 ),
inference(resolution,[],[f14453,f105]) ).
fof(f14456,plain,
( apply(member_predicate,sK10(member_predicate,sK6(sK1,on)),sK11(member_predicate,sK6(sK1,on)))
| strict_order(member_predicate,sK6(sK1,on))
| ~ spl13_531 ),
inference(resolution,[],[f14453,f106]) ).
fof(f14457,plain,
( member(sK11(member_predicate,sK6(sK1,on)),sK6(sK1,on))
| strict_order(member_predicate,sK6(sK1,on))
| ~ spl13_531 ),
inference(resolution,[],[f14453,f103]) ).
fof(f14458,plain,
( member(sK10(member_predicate,sK6(sK1,on)),sK6(sK1,on))
| strict_order(member_predicate,sK6(sK1,on))
| ~ spl13_531 ),
inference(resolution,[],[f14453,f104]) ).
fof(f14461,definition,
( spl13_532
<=> strict_order(member_predicate,sK6(sK1,on)) ),
introduced(definition,[new_symbols(definition,[spl13_532])],[avatar_definition]) ).
fof(f14462,plain,
( strict_order(member_predicate,sK6(sK1,on))
| ~ spl13_532 ),
inference(avatar_component_clause,[],[f14461]) ).
fof(f14464,definition,
( spl13_533
<=> member(sK10(member_predicate,sK6(sK1,on)),sK6(sK1,on)) ),
introduced(definition,[new_symbols(definition,[spl13_533])],[avatar_definition]) ).
fof(f14465,plain,
( member(sK10(member_predicate,sK6(sK1,on)),sK6(sK1,on))
| ~ spl13_533 ),
inference(avatar_component_clause,[],[f14464]) ).
fof(f14466,plain,
( spl13_532
| spl13_533
| ~ spl13_531 ),
inference(avatar_split_clause,[],[f14458,f14452,f14464,f14461]) ).
fof(f14468,definition,
( spl13_534
<=> member(sK11(member_predicate,sK6(sK1,on)),sK6(sK1,on)) ),
introduced(definition,[new_symbols(definition,[spl13_534])],[avatar_definition]) ).
fof(f14469,plain,
( member(sK11(member_predicate,sK6(sK1,on)),sK6(sK1,on))
| ~ spl13_534 ),
inference(avatar_component_clause,[],[f14468]) ).
fof(f14470,plain,
( spl13_532
| spl13_534
| ~ spl13_531 ),
inference(avatar_split_clause,[],[f14457,f14452,f14468,f14461]) ).
fof(f14472,definition,
( spl13_535
<=> apply(member_predicate,sK10(member_predicate,sK6(sK1,on)),sK11(member_predicate,sK6(sK1,on))) ),
introduced(definition,[new_symbols(definition,[spl13_535])],[avatar_definition]) ).
fof(f14473,plain,
( apply(member_predicate,sK10(member_predicate,sK6(sK1,on)),sK11(member_predicate,sK6(sK1,on)))
| ~ spl13_535 ),
inference(avatar_component_clause,[],[f14472]) ).
fof(f14474,plain,
( spl13_532
| spl13_535
| ~ spl13_531 ),
inference(avatar_split_clause,[],[f14456,f14452,f14472,f14461]) ).
fof(f14476,definition,
( spl13_536
<=> apply(member_predicate,sK11(member_predicate,sK6(sK1,on)),sK10(member_predicate,sK6(sK1,on))) ),
introduced(definition,[new_symbols(definition,[spl13_536])],[avatar_definition]) ).
fof(f14477,plain,
( apply(member_predicate,sK11(member_predicate,sK6(sK1,on)),sK10(member_predicate,sK6(sK1,on)))
| ~ spl13_536 ),
inference(avatar_component_clause,[],[f14476]) ).
fof(f14478,plain,
( spl13_532
| spl13_536
| ~ spl13_531 ),
inference(avatar_split_clause,[],[f14455,f14452,f14476,f14461]) ).
fof(f14657,plain,
( subset(sK2(member_predicate,sK6(sK1,on)),sK1)
| strict_well_order(member_predicate,sK6(sK1,on))
| ~ spl13_251
| ~ spl13_532 ),
inference(resolution,[],[f14147,f14462]) ).
fof(f14662,definition,
( spl13_549
<=> strict_well_order(member_predicate,sK6(sK1,on)) ),
introduced(definition,[new_symbols(definition,[spl13_549])],[avatar_definition]) ).
fof(f14663,plain,
( strict_well_order(member_predicate,sK6(sK1,on))
| ~ spl13_549 ),
inference(avatar_component_clause,[],[f14662]) ).
fof(f14665,definition,
( spl13_550
<=> subset(sK2(member_predicate,sK6(sK1,on)),sK1) ),
introduced(definition,[new_symbols(definition,[spl13_550])],[avatar_definition]) ).
fof(f14666,plain,
( subset(sK2(member_predicate,sK6(sK1,on)),sK1)
| ~ spl13_550 ),
inference(avatar_component_clause,[],[f14665]) ).
fof(f14667,plain,
( spl13_549
| spl13_550
| ~ spl13_251
| ~ spl13_532 ),
inference(avatar_split_clause,[],[f14657,f14461,f5373,f14665,f14662]) ).
fof(f14669,plain,
( ~ set(sK6(sK1,on))
| member(sK6(sK1,on),on)
| member(sK5(sK6(sK1,on)),sK6(sK1,on))
| ~ spl13_549 ),
inference(resolution,[],[f14663,f84]) ).
fof(f14672,plain,
( member(sK6(sK1,on),on)
| member(sK5(sK6(sK1,on)),sK6(sK1,on))
| ~ spl13_236
| ~ spl13_549 ),
inference(forward_subsumption_resolution,[],[f14669,f5313]) ).
fof(f14673,plain,
( member(sK5(sK6(sK1,on)),sK6(sK1,on))
| spl13_28
| ~ spl13_236
| ~ spl13_549 ),
inference(forward_subsumption_resolution,[],[f14672,f2433]) ).
fof(f14676,plain,
( member(sK5(sK6(sK1,on)),sK1)
| subset(sK1,on)
| spl13_28
| ~ spl13_236
| ~ spl13_549 ),
inference(resolution,[],[f14673,f147]) ).
fof(f14695,definition,
( spl13_551
<=> member(sK5(sK6(sK1,on)),sK1) ),
introduced(definition,[new_symbols(definition,[spl13_551])],[avatar_definition]) ).
fof(f14696,plain,
( member(sK5(sK6(sK1,on)),sK1)
| ~ spl13_551 ),
inference(avatar_component_clause,[],[f14695]) ).
fof(f14704,plain,
( member(sK5(sK6(sK1,on)),sK1)
| spl13_28
| ~ spl13_236
| ~ spl13_549 ),
inference(forward_subsumption_resolution,[],[f14676,f75]) ).
fof(f14718,definition,
( spl13_555
<=> ! [X0] :
( apply(member_predicate,X0,sK6(sK1,on))
| ~ member(X0,sK5(sK6(sK1,on))) ) ),
introduced(definition,[new_symbols(definition,[spl13_555])],[avatar_definition]) ).
fof(f14719,plain,
( ! [X0] :
( ~ member(X0,sK5(sK6(sK1,on)))
| apply(member_predicate,X0,sK6(sK1,on)) )
| ~ spl13_555 ),
inference(avatar_component_clause,[],[f14718]) ).
fof(f14722,plain,
( spl13_551
| spl13_28
| ~ spl13_236
| ~ spl13_549 ),
inference(avatar_split_clause,[],[f14704,f14662,f5312,f2432,f14695]) ).
fof(f14786,plain,
( subset(sK5(sK6(sK1,on)),sK1)
| ~ spl13_551 ),
inference(resolution,[],[f14696,f131]) ).
fof(f16342,plain,
( ~ member(sK6(sK1,on),sK1)
| spl13_187 ),
inference(avatar_component_clause,[],[f5100]) ).
fof(f16354,plain,
( subset(sK1,on)
| spl13_187 ),
inference(resolution,[],[f16342,f92]) ).
fof(f16360,plain,
( $false
| spl13_187 ),
inference(forward_subsumption_resolution,[],[f16354,f75]) ).
fof(f16361,plain,
spl13_187,
inference(avatar_contradiction_clause,[],[f16360]) ).
fof(f16370,plain,
( ! [X0,X1] :
( ~ apply(member_predicate,X0,sK6(sK1,on))
| ~ member(X1,sK1)
| ~ member(X0,sK1)
| ~ apply(member_predicate,X1,X0)
| apply(member_predicate,X1,sK6(sK1,on)) )
| ~ spl13_187 ),
inference(resolution,[],[f5101,f176]) ).
fof(f16482,plain,
( ! [X0,X1] :
( ~ apply(member_predicate,X0,X1)
| ~ member(X1,sK1)
| ~ member(X0,sK1)
| apply(member_predicate,X0,sK6(sK1,on))
| ~ member(X1,sK6(sK1,on)) )
| ~ spl13_187 ),
inference(resolution,[],[f16370,f114]) ).
fof(f16988,plain,
( spl13_41
| ~ spl13_187 ),
inference(avatar_split_clause,[],[f14031,f5100,f3171]) ).
fof(f17025,plain,
( spl13_236
| ~ spl13_187 ),
inference(avatar_split_clause,[],[f14039,f5100,f5312]) ).
fof(f17036,plain,
( member(sK6(sK1,on),on)
| ~ spl13_28 ),
inference(avatar_component_clause,[],[f2432]) ).
fof(f17046,plain,
( subset(sK1,on)
| ~ spl13_28 ),
inference(resolution,[],[f17036,f93]) ).
fof(f17077,plain,
( $false
| ~ spl13_28 ),
inference(forward_subsumption_resolution,[],[f17046,f75]) ).
fof(f17078,plain,
~ spl13_28,
inference(avatar_contradiction_clause,[],[f17077]) ).
fof(f17095,plain,
( ~ strict_well_order(member_predicate,sK6(sK1,on))
| spl13_549 ),
inference(avatar_component_clause,[],[f14662]) ).
fof(f17680,plain,
( ! [X0] :
( member(sK7(X0,sK6(sK1,on)),sK1)
| sP0(X0,sK6(sK1,on)) )
| ~ spl13_252 ),
inference(resolution,[],[f5378,f97]) ).
fof(f17686,plain,
( ! [X0] :
( member(sK9(X0,sK6(sK1,on)),sK1)
| sP0(X0,sK6(sK1,on)) )
| ~ spl13_252 ),
inference(resolution,[],[f5378,f95]) ).
fof(f17699,plain,
( ! [X0,X1] :
( ~ member(X0,sK1)
| ~ member(X1,sK1)
| apply(member_predicate,X1,sK6(sK1,on))
| ~ member(X0,sK6(sK1,on))
| ~ member(X1,X0) )
| ~ spl13_187 ),
inference(resolution,[],[f16482,f114]) ).
fof(f18120,plain,
( ! [X0,X1] :
( ~ member(X0,sK6(sK1,on))
| apply(member_predicate,X1,sK6(sK1,on))
| ~ member(X1,sK1)
| ~ member(X1,X0) )
| ~ spl13_187
| ~ spl13_252 ),
inference(forward_subsumption_resolution,[],[f17699,f5378]) ).
fof(f19534,plain,
( ! [X2,X0,X1] :
( ~ apply(member_predicate,X1,sK9(X0,sK6(sK1,on)))
| sP0(X0,sK6(sK1,on))
| ~ member(X2,sK1)
| ~ member(X1,sK1)
| ~ apply(member_predicate,X2,X1)
| apply(member_predicate,X2,sK9(X0,sK6(sK1,on))) )
| ~ spl13_252 ),
inference(resolution,[],[f17686,f176]) ).
fof(f27258,plain,
( ! [X0] :
( ~ member(X0,sK5(sK6(sK1,on)))
| member(X0,sK1) )
| ~ spl13_551 ),
inference(resolution,[],[f14786,f91]) ).
fof(f27588,definition,
( spl13_948
<=> ! [X0] :
( ~ member(sK11(member_predicate,sK6(sK1,on)),X0)
| ~ strict_order(member_predicate,X0)
| ~ member(sK10(member_predicate,sK6(sK1,on)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_948])],[avatar_definition]) ).
fof(f27589,plain,
( ! [X0] :
( ~ member(sK11(member_predicate,sK6(sK1,on)),X0)
| ~ strict_order(member_predicate,X0)
| ~ member(sK10(member_predicate,sK6(sK1,on)),X0) )
| ~ spl13_948 ),
inference(avatar_component_clause,[],[f27588]) ).
fof(f29273,plain,
( ! [X0] :
( ~ member(X0,sK2(member_predicate,sK6(sK1,on)))
| least(sK4(member_predicate,sK2(member_predicate,sK6(sK1,on))),member_predicate,sK2(member_predicate,sK6(sK1,on))) )
| ~ spl13_550 ),
inference(resolution,[],[f14666,f1039]) ).
fof(f29277,definition,
( spl13_1054
<=> least(sK4(member_predicate,sK2(member_predicate,sK6(sK1,on))),member_predicate,sK2(member_predicate,sK6(sK1,on))) ),
introduced(definition,[new_symbols(definition,[spl13_1054])],[avatar_definition]) ).
fof(f29278,plain,
( least(sK4(member_predicate,sK2(member_predicate,sK6(sK1,on))),member_predicate,sK2(member_predicate,sK6(sK1,on)))
| ~ spl13_1054 ),
inference(avatar_component_clause,[],[f29277]) ).
fof(f29280,definition,
( spl13_1055
<=> ! [X0] : ~ member(X0,sK2(member_predicate,sK6(sK1,on))) ),
introduced(definition,[new_symbols(definition,[spl13_1055])],[avatar_definition]) ).
fof(f29281,plain,
( ! [X0] : ~ member(X0,sK2(member_predicate,sK6(sK1,on)))
| ~ spl13_1055 ),
inference(avatar_component_clause,[],[f29280]) ).
fof(f29282,plain,
( spl13_1054
| spl13_1055
| ~ spl13_550 ),
inference(avatar_split_clause,[],[f29273,f14665,f29280,f29277]) ).
fof(f29621,plain,
( member(sK11(member_predicate,sK6(sK1,on)),sK1)
| ~ spl13_252
| ~ spl13_534 ),
inference(resolution,[],[f14469,f5378]) ).
fof(f29702,plain,
( member(sK10(member_predicate,sK6(sK1,on)),sK1)
| ~ spl13_252
| ~ spl13_533 ),
inference(resolution,[],[f14465,f5378]) ).
fof(f29752,plain,
( ! [X0] :
( ~ apply(member_predicate,sK11(member_predicate,sK6(sK1,on)),sK10(member_predicate,sK6(sK1,on)))
| ~ member(sK10(member_predicate,sK6(sK1,on)),X0)
| ~ member(sK11(member_predicate,sK6(sK1,on)),X0)
| ~ strict_order(member_predicate,X0) )
| ~ spl13_535 ),
inference(resolution,[],[f14473,f102]) ).
fof(f29753,plain,
( ! [X0] :
( ~ member(sK10(member_predicate,sK6(sK1,on)),X0)
| ~ member(sK11(member_predicate,sK6(sK1,on)),X0)
| ~ strict_order(member_predicate,X0) )
| ~ spl13_535
| ~ spl13_536 ),
inference(forward_subsumption_resolution,[],[f29752,f14477]) ).
fof(f29877,plain,
( spl13_948
| ~ spl13_535
| ~ spl13_536 ),
inference(avatar_split_clause,[],[f29753,f14476,f14472,f27588]) ).
fof(f31169,plain,
( ~ strict_order(member_predicate,sK1)
| ~ member(sK10(member_predicate,sK6(sK1,on)),sK1)
| ~ spl13_252
| ~ spl13_534
| ~ spl13_948 ),
inference(resolution,[],[f27589,f29621]) ).
fof(f31196,plain,
( ~ member(sK10(member_predicate,sK6(sK1,on)),sK1)
| ~ spl13_252
| ~ spl13_534
| ~ spl13_948 ),
inference(forward_subsumption_resolution,[],[f31169,f140]) ).
fof(f31208,plain,
( $false
| ~ spl13_252
| ~ spl13_533
| ~ spl13_534
| ~ spl13_948 ),
inference(forward_subsumption_resolution,[],[f31196,f29702]) ).
fof(f31209,plain,
( ~ spl13_252
| ~ spl13_533
| ~ spl13_534
| ~ spl13_948 ),
inference(avatar_contradiction_clause,[],[f31208]) ).
fof(f32747,plain,
( ~ strict_order(member_predicate,sK6(sK1,on))
| strict_well_order(member_predicate,sK6(sK1,on))
| ~ spl13_1054 ),
inference(resolution,[],[f29278,f80]) ).
fof(f32751,plain,
( strict_well_order(member_predicate,sK6(sK1,on))
| ~ spl13_532
| ~ spl13_1054 ),
inference(forward_subsumption_resolution,[],[f32747,f14462]) ).
fof(f32752,plain,
( $false
| ~ spl13_532
| spl13_549
| ~ spl13_1054 ),
inference(forward_subsumption_resolution,[],[f32751,f17095]) ).
fof(f32753,plain,
( ~ spl13_532
| spl13_549
| ~ spl13_1054 ),
inference(avatar_contradiction_clause,[],[f32752]) ).
fof(f32756,plain,
( ~ strict_order(member_predicate,sK6(sK1,on))
| strict_well_order(member_predicate,sK6(sK1,on))
| ~ spl13_1055 ),
inference(resolution,[],[f29281,f78]) ).
fof(f32780,plain,
( strict_well_order(member_predicate,sK6(sK1,on))
| ~ spl13_532
| ~ spl13_1055 ),
inference(forward_subsumption_resolution,[],[f32756,f14462]) ).
fof(f32781,plain,
( $false
| ~ spl13_532
| spl13_549
| ~ spl13_1055 ),
inference(forward_subsumption_resolution,[],[f32780,f17095]) ).
fof(f32782,plain,
( ~ spl13_532
| spl13_549
| ~ spl13_1055 ),
inference(avatar_contradiction_clause,[],[f32781]) ).
fof(f32784,plain,
( ~ set(sK6(sK1,on))
| member(sK6(sK1,on),on)
| member(sK5(sK6(sK1,on)),sK6(sK1,on))
| ~ spl13_549 ),
inference(resolution,[],[f14663,f84]) ).
fof(f32788,plain,
( member(sK6(sK1,on),on)
| member(sK5(sK6(sK1,on)),sK6(sK1,on))
| ~ spl13_236
| ~ spl13_549 ),
inference(forward_subsumption_resolution,[],[f32784,f5313]) ).
fof(f32789,plain,
( member(sK5(sK6(sK1,on)),sK6(sK1,on))
| spl13_28
| ~ spl13_236
| ~ spl13_549 ),
inference(forward_subsumption_resolution,[],[f32788,f2433]) ).
fof(f32806,plain,
( ! [X0] :
( apply(member_predicate,X0,sK6(sK1,on))
| ~ member(X0,sK1)
| ~ member(X0,sK5(sK6(sK1,on))) )
| spl13_28
| ~ spl13_187
| ~ spl13_236
| ~ spl13_252
| ~ spl13_549 ),
inference(resolution,[],[f32789,f18120]) ).
fof(f32821,plain,
( ! [X0] :
( apply(member_predicate,X0,sK6(sK1,on))
| ~ member(X0,sK5(sK6(sK1,on))) )
| spl13_28
| ~ spl13_187
| ~ spl13_236
| ~ spl13_252
| ~ spl13_549
| ~ spl13_551 ),
inference(forward_subsumption_resolution,[],[f32806,f27258]) ).
fof(f32825,plain,
( spl13_555
| spl13_28
| ~ spl13_187
| ~ spl13_236
| ~ spl13_252
| ~ spl13_549
| ~ spl13_551 ),
inference(avatar_split_clause,[],[f32821,f14695,f14662,f5377,f5312,f5100,f2432,f14718]) ).
fof(f32830,plain,
( ! [X0] :
( apply(member_predicate,sK6(sK5(sK6(sK1,on)),X0),sK6(sK1,on))
| subset(sK5(sK6(sK1,on)),X0) )
| ~ spl13_555 ),
inference(resolution,[],[f14719,f92]) ).
fof(f32855,plain,
( ! [X0] :
( member(sK6(sK5(sK6(sK1,on)),X0),sK6(sK1,on))
| subset(sK5(sK6(sK1,on)),X0) )
| ~ spl13_555 ),
inference(resolution,[],[f32830,f113]) ).
fof(f32885,plain,
( subset(sK5(sK6(sK1,on)),sK6(sK1,on))
| subset(sK5(sK6(sK1,on)),sK6(sK1,on))
| ~ spl13_555 ),
inference(resolution,[],[f32855,f93]) ).
fof(f32904,plain,
( subset(sK5(sK6(sK1,on)),sK6(sK1,on))
| ~ spl13_555 ),
inference(duplicate_literal_removal,[],[f32885]) ).
fof(f32913,plain,
( ~ set(sK6(sK1,on))
| ~ strict_well_order(member_predicate,sK6(sK1,on))
| member(sK6(sK1,on),on)
| ~ spl13_555 ),
inference(resolution,[],[f32904,f85]) ).
fof(f32919,plain,
( ~ strict_well_order(member_predicate,sK6(sK1,on))
| member(sK6(sK1,on),on)
| ~ spl13_236
| ~ spl13_555 ),
inference(forward_subsumption_resolution,[],[f32913,f5313]) ).
fof(f32920,plain,
( member(sK6(sK1,on),on)
| ~ spl13_236
| ~ spl13_549
| ~ spl13_555 ),
inference(forward_subsumption_resolution,[],[f32919,f14663]) ).
fof(f32921,plain,
( $false
| spl13_28
| ~ spl13_236
| ~ spl13_549
| ~ spl13_555 ),
inference(forward_subsumption_resolution,[],[f32920,f2433]) ).
fof(f32922,plain,
( spl13_28
| ~ spl13_236
| ~ spl13_549
| ~ spl13_555 ),
inference(avatar_contradiction_clause,[],[f32921]) ).
fof(f45231,plain,
( ! [X0] :
( sP0(member_predicate,sK6(sK1,on))
| ~ member(X0,sK1)
| ~ member(sK8(member_predicate,sK6(sK1,on)),sK1)
| ~ apply(member_predicate,X0,sK8(member_predicate,sK6(sK1,on)))
| apply(member_predicate,X0,sK9(member_predicate,sK6(sK1,on)))
| sP0(member_predicate,sK6(sK1,on)) )
| ~ spl13_252 ),
inference(resolution,[],[f19534,f98]) ).
fof(f45232,plain,
( ! [X0] :
( sP0(member_predicate,sK6(sK1,on))
| ~ member(X0,sK1)
| ~ member(sK8(member_predicate,sK6(sK1,on)),sK1)
| ~ apply(member_predicate,X0,sK8(member_predicate,sK6(sK1,on)))
| apply(member_predicate,X0,sK9(member_predicate,sK6(sK1,on))) )
| ~ spl13_252 ),
inference(duplicate_literal_removal,[],[f45231]) ).
fof(f45234,plain,
( ! [X0] :
( sP0(member_predicate,sK6(sK1,on))
| ~ member(X0,sK1)
| ~ apply(member_predicate,X0,sK8(member_predicate,sK6(sK1,on)))
| apply(member_predicate,X0,sK9(member_predicate,sK6(sK1,on))) )
| ~ spl13_226
| ~ spl13_252 ),
inference(forward_subsumption_resolution,[],[f45232,f5273]) ).
fof(f45243,definition,
( spl13_1575
<=> ! [X0] :
( ~ member(X0,sK1)
| apply(member_predicate,X0,sK9(member_predicate,sK6(sK1,on)))
| ~ apply(member_predicate,X0,sK8(member_predicate,sK6(sK1,on))) ) ),
introduced(definition,[new_symbols(definition,[spl13_1575])],[avatar_definition]) ).
fof(f45244,plain,
( ! [X0] :
( ~ apply(member_predicate,X0,sK8(member_predicate,sK6(sK1,on)))
| apply(member_predicate,X0,sK9(member_predicate,sK6(sK1,on)))
| ~ member(X0,sK1) )
| ~ spl13_1575 ),
inference(avatar_component_clause,[],[f45243]) ).
fof(f45245,plain,
( spl13_1575
| spl13_531
| ~ spl13_226
| ~ spl13_252 ),
inference(avatar_split_clause,[],[f45234,f5377,f5272,f14452,f45243]) ).
fof(f45265,plain,
( apply(member_predicate,sK7(member_predicate,sK6(sK1,on)),sK9(member_predicate,sK6(sK1,on)))
| ~ member(sK7(member_predicate,sK6(sK1,on)),sK1)
| sP0(member_predicate,sK6(sK1,on))
| ~ spl13_1575 ),
inference(resolution,[],[f45244,f99]) ).
fof(f45266,plain,
( ~ member(sK7(member_predicate,sK6(sK1,on)),sK1)
| sP0(member_predicate,sK6(sK1,on))
| ~ spl13_1575 ),
inference(forward_subsumption_resolution,[],[f45265,f100]) ).
fof(f45270,plain,
( sP0(member_predicate,sK6(sK1,on))
| ~ spl13_252
| ~ spl13_1575 ),
inference(forward_subsumption_resolution,[],[f45266,f17680]) ).
fof(f45273,plain,
( spl13_531
| ~ spl13_252
| ~ spl13_1575 ),
inference(avatar_split_clause,[],[f45270,f45243,f5377,f14452]) ).
cnf(s600,plain,
( ~ spl13_41
| spl13_252 ),
inference(sat_conversion,[],[f14026]) ).
cnf(s601,plain,
( ~ spl13_41
| spl13_251 ),
inference(sat_conversion,[],[f14027]) ).
cnf(s621,plain,
( spl13_226
| ~ spl13_252 ),
inference(sat_conversion,[],[f14298]) ).
cnf(s629,plain,
( ~ spl13_531
| spl13_532
| spl13_533 ),
inference(sat_conversion,[],[f14466]) ).
cnf(s630,plain,
( ~ spl13_531
| spl13_532
| spl13_534 ),
inference(sat_conversion,[],[f14470]) ).
cnf(s631,plain,
( ~ spl13_531
| spl13_532
| spl13_535 ),
inference(sat_conversion,[],[f14474]) ).
cnf(s632,plain,
( ~ spl13_531
| spl13_532
| spl13_536 ),
inference(sat_conversion,[],[f14478]) ).
cnf(s640,plain,
( ~ spl13_251
| ~ spl13_532
| spl13_549
| spl13_550 ),
inference(sat_conversion,[],[f14667]) ).
cnf(s647,plain,
( spl13_28
| ~ spl13_236
| ~ spl13_549
| spl13_551 ),
inference(sat_conversion,[],[f14722]) ).
cnf(s713,plain,
spl13_187,
inference(sat_conversion,[],[f16361]) ).
cnf(s740,plain,
( spl13_41
| ~ spl13_187 ),
inference(sat_conversion,[],[f16988]) ).
cnf(s748,plain,
( ~ spl13_187
| spl13_236 ),
inference(sat_conversion,[],[f17025]) ).
cnf(s754,plain,
~ spl13_28,
inference(sat_conversion,[],[f17078]) ).
cnf(s1557,plain,
( ~ spl13_550
| spl13_1054
| spl13_1055 ),
inference(sat_conversion,[],[f29282]) ).
cnf(s1610,plain,
( ~ spl13_535
| ~ spl13_536
| spl13_948 ),
inference(sat_conversion,[],[f29877]) ).
cnf(s1702,plain,
( ~ spl13_252
| ~ spl13_533
| ~ spl13_534
| ~ spl13_948 ),
inference(sat_conversion,[],[f31209]) ).
cnf(s1764,plain,
( ~ spl13_532
| spl13_549
| ~ spl13_1054 ),
inference(sat_conversion,[],[f32753]) ).
cnf(s1766,plain,
( ~ spl13_532
| spl13_549
| ~ spl13_1055 ),
inference(sat_conversion,[],[f32782]) ).
cnf(s1774,plain,
( spl13_28
| ~ spl13_187
| ~ spl13_236
| ~ spl13_252
| ~ spl13_549
| ~ spl13_551
| spl13_555 ),
inference(sat_conversion,[],[f32825]) ).
cnf(s1777,plain,
( spl13_28
| ~ spl13_236
| ~ spl13_549
| ~ spl13_555 ),
inference(sat_conversion,[],[f32922]) ).
cnf(s2360,plain,
( ~ spl13_226
| ~ spl13_252
| spl13_531
| spl13_1575 ),
inference(sat_conversion,[],[f45245]) ).
cnf(s2363,plain,
( ~ spl13_252
| spl13_531
| ~ spl13_1575 ),
inference(sat_conversion,[],[f45273]) ).
cnf(s2380,plain,
spl13_236,
inference(rat,[],[s748,s713]) ).
cnf(s2381,plain,
spl13_41,
inference(rat,[],[s740,s713]) ).
cnf(s2390,plain,
( ~ spl13_549
| spl13_551 ),
inference(rat,[],[s647,s2380,s754]) ).
cnf(s2406,plain,
spl13_251,
inference(rat,[],[s601,s2381]) ).
cnf(s2407,plain,
spl13_252,
inference(rat,[],[s600,s2381]) ).
cnf(s2410,plain,
spl13_226,
inference(rat,[],[s621,s2407]) ).
cnf(s2467,plain,
spl13_531,
inference(rat,[],[s2360,s2363,s2407,s2410]) ).
cnf(s2469,plain,
spl13_532,
inference(rat,[],[s1702,s1610,s629,s630,s631,s632,s2407,s2467]) ).
cnf(s2470,plain,
spl13_549,
inference(rat,[],[s1557,s640,s1764,s1766,s2406,s2469]) ).
cnf(s2472,plain,
~ spl13_555,
inference(rat,[],[s1777,s2380,s754,s2470]) ).
cnf(s2474,plain,
~ spl13_551,
inference(rat,[],[s1774,s2472,s2407,s2380,s713,s754,s2470]) ).
cnf(s2475,plain,
$false,
inference(rat,[],[s2390,s2474,s2470]) ).
fof(f45274,plain,
$false,
inference(avatar_sat_refutation,[],[s2475]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET808+4 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 02:55:48 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 12.34/2.65 % (3215960)Detected formulas, will run a generic FOF schedule.
% 12.34/2.65 % (3215971)dis-21_1_sil=8000:lcm=predicate:random_seed=2611001954: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)
% 12.34/2.65 % (3215971)Instruction limit reached!
% 12.34/2.65 % (3215971)------------------------------
% 12.34/2.65 % (3215971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/2.65 % (3215971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/2.65 % (3215971)CaDiCaL version: 2.1.3
% 12.34/2.65 % (3215971)Termination reason: Instruction limit
% 12.34/2.65 % (3215971)Termination phase: Saturation
% 12.34/2.65 % (3215971)Time elapsed: 0.040 s
% 12.34/2.65 % (3215971)Peak memory usage: 89 MB
% 12.34/2.65 % (3215971)Instructions burned: 130 (million)
% 12.34/2.65 % (3215970)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2485994867:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.34/2.65 % (3215965)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=3662778430:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.34/2.65 % (3215966)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=3704027458:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.34/2.65 % (3215969)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=737605156:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.34/2.65 % (3215968)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1252621403:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.34/2.65 % (3215967)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=3056384837:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.34/2.65 % (3215968)Refutation not found, incomplete strategy
% 12.34/2.65 % (3215968)------------------------------
% 12.34/2.65 % (3215968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/2.65 % (3215968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/2.65 % (3215968)CaDiCaL version: 2.1.3
% 12.34/2.65 % (3215968)Termination reason: Refutation not found, incomplete strategy
% 12.34/2.65 % (3215968)Time elapsed: 0.001 s
% 12.34/2.65 % (3215968)Peak memory usage: 88 MB
% 12.34/2.65 % (3215969)Instruction limit reached!
% 12.34/2.65 % (3215969)------------------------------
% 12.34/2.65 % (3215969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/2.65 % (3215969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/2.65 % (3215969)CaDiCaL version: 2.1.3
% 12.34/2.65 % (3215969)Termination reason: Instruction limit
% 12.34/2.65 % (3215969)Termination phase: Saturation
% 12.34/2.65 % (3215969)Time elapsed: 0.072 s
% 12.34/2.65 % (3215969)Peak memory usage: 88 MB
% 12.34/2.65 % (3215969)Instructions burned: 120 (million)
% 12.34/2.65 % (3215970)Instruction limit reached!
% 12.34/2.65 % (3215970)------------------------------
% 12.34/2.65 % (3215970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/2.65 % (3215970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/2.65 % (3215970)CaDiCaL version: 2.1.3
% 12.34/2.65 % (3215970)Termination reason: Instruction limit
% 12.34/2.65 % (3215970)Termination phase: Saturation
% 12.34/2.65 % (3215970)Time elapsed: 0.096 s
% 12.34/2.65 % (3215970)Peak memory usage: 89 MB
% 12.34/2.65 % (3215970)Instructions burned: 139 (million)
% 12.34/2.65 % (3215979)lrs+10_1_sil=8000:sp=occurrence:random_seed=2704402000:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.34/2.65 % (3215979)Instruction limit reached!
% 12.34/2.65 % (3215979)------------------------------
% 12.34/2.65 % (3215979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/2.65 % (3215979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/2.65 % (3215979)CaDiCaL version: 2.1.3
% 12.34/2.65 % (3215979)Termination reason: Instruction limit
% 12.34/2.65 % (3215979)Termination phase: Saturation
% 12.34/2.65 % (3215979)Time elapsed: 0.100 s
% 12.34/2.65 % (3215979)Peak memory usage: 92 MB
% 12.34/2.65 % (3215979)Instructions burned: 288 (million)
% 12.34/2.65 % (3215980)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3744449515:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 16.67/3.27 % (3215980)Refutation not found, incomplete strategy
% 16.67/3.27 % (3215980)------------------------------
% 16.67/3.27 % (3215980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.67/3.27 % (3215980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.67/3.27 % (3215980)CaDiCaL version: 2.1.3
% 16.67/3.27 % (3215980)Termination reason: Refutation not found, incomplete strategy
% 16.67/3.27 % (3215980)Time elapsed: 0.003 s
% 16.67/3.27 % (3215980)Peak memory usage: 88 MB
% 16.67/3.27 % (3215980)Instructions burned: 3 (million)
% 16.67/3.27 % (3215968)------------------------------
% 16.67/3.27 % (3215968)------------------------------
% 16.67/3.27 % (3215981)lrs+1011_1_sil=32000:sp=occurrence:random_seed=250759731:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 16.67/3.27 % (3215983)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=1739336058:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 16.67/3.27 % (3215986)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1221120376:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 16.67/3.27 % (3215983)Instruction limit reached!
% 16.67/3.27 % (3215983)------------------------------
% 16.67/3.27 % (3215983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.67/3.27 % (3215983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.67/3.27 % (3215983)CaDiCaL version: 2.1.3
% 16.67/3.27 % (3215983)Termination reason: Instruction limit
% 16.67/3.27 % (3215983)Termination phase: Saturation
% 16.67/3.27 % (3215983)Time elapsed: 0.083 s
% 16.67/3.27 % (3215983)Peak memory usage: 92 MB
% 16.67/3.27 % (3215983)Instructions burned: 249 (million)
% 16.67/3.27 % (3215981)Instruction limit reached!
% 16.67/3.27 % (3215981)------------------------------
% 16.67/3.27 % (3215981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.67/3.27 % (3215981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.67/3.27 % (3215981)CaDiCaL version: 2.1.3
% 16.67/3.27 % (3215981)Termination reason: Instruction limit
% 16.67/3.27 % (3215981)Termination phase: Saturation
% 16.67/3.27 % (3215981)Time elapsed: 0.210 s
% 16.67/3.27 % (3215981)Peak memory usage: 91 MB
% 16.67/3.27 % (3215981)Instructions burned: 326 (million)
% 16.67/3.27 % (3215980)------------------------------
% 16.67/3.27 % (3215980)------------------------------
% 16.67/3.27 % (3215986)Instruction limit reached!
% 16.67/3.27 % (3215986)------------------------------
% 16.67/3.27 % (3215986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.67/3.27 % (3215986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.67/3.27 % (3215986)CaDiCaL version: 2.1.3
% 16.67/3.27 % (3215986)Termination reason: Instruction limit
% 16.67/3.27 % (3215986)Termination phase: Saturation
% 16.67/3.27 % (3215986)Time elapsed: 0.129 s
% 16.67/3.27 % (3215986)Peak memory usage: 88 MB
% 16.67/3.27 % (3215986)Instructions burned: 294 (million)
% 16.67/3.27 % (3215989)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=284489840:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 16.67/3.27 % (3215990)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3783352266:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 16.67/3.27 % (3215991)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2976957180:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 16.67/3.27 % (3215990)Instruction limit reached!
% 16.67/3.27 % (3215990)------------------------------
% 16.67/3.27 % (3215990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.67/3.27 % (3215990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.67/3.27 % (3215990)CaDiCaL version: 2.1.3
% 16.67/3.27 % (3215990)Termination reason: Instruction limit
% 16.67/3.27 % (3215990)Termination phase: Saturation
% 16.67/3.27 % (3215990)Time elapsed: 0.079 s
% 16.67/3.27 % (3215990)Peak memory usage: 89 MB
% 16.67/3.27 % (3215990)Instructions burned: 114 (million)
% 16.67/3.27 % (3215991)Instruction limit reached!
% 16.67/3.27 % (3215991)------------------------------
% 16.67/3.27 % (3215991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.67/3.27 % (3215991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.03/7.39 % (3215991)CaDiCaL version: 2.1.3
% 46.03/7.39 % (3215991)Termination reason: Instruction limit
% 46.03/7.39 % (3215991)Termination phase: Saturation
% 46.03/7.39 % (3215991)Time elapsed: 0.072 s
% 46.03/7.39 % (3215991)Peak memory usage: 89 MB
% 46.03/7.39 % (3215991)Instructions burned: 128 (million)
% 46.03/7.39 % (3215992)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3481913798:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 46.03/7.39 % (3215992)Instruction limit reached!
% 46.03/7.39 % (3215992)------------------------------
% 46.03/7.39 % (3215992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.03/7.39 % (3215992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.03/7.39 % (3215992)CaDiCaL version: 2.1.3
% 46.03/7.39 % (3215992)Termination reason: Instruction limit
% 46.03/7.39 % (3215992)Termination phase: Saturation
% 46.03/7.39 % (3215992)Time elapsed: 0.074 s
% 46.03/7.39 % (3215992)Peak memory usage: 89 MB
% 46.03/7.39 % (3215992)Instructions burned: 115 (million)
% 46.03/7.39 % (3215996)lrs+10_1_sil=8000:sp=occurrence:random_seed=2879556231:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 46.03/7.39 % (3215997)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=696259298:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 46.03/7.39 % (3215999)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3607852485:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 46.03/7.39 % (3215997)Instruction limit reached!
% 46.03/7.39 % (3215997)------------------------------
% 46.03/7.39 % (3215997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.03/7.39 % (3215997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.03/7.39 % (3215997)CaDiCaL version: 2.1.3
% 46.03/7.39 % (3215997)Termination reason: Instruction limit
% 46.03/7.39 % (3215997)Termination phase: Saturation
% 46.03/7.39 % (3215997)Time elapsed: 0.224 s
% 46.03/7.39 % (3215997)Peak memory usage: 88 MB
% 46.03/7.39 % (3215997)Instructions burned: 439 (million)
% 46.03/7.39 % (3216003)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3072046855:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 46.03/7.39 % (3216003)Refutation not found, incomplete strategy
% 46.03/7.39 % (3216003)------------------------------
% 46.03/7.39 % (3216003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.03/7.39 % (3216003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.03/7.39 % (3216003)CaDiCaL version: 2.1.3
% 46.03/7.39 % (3216003)Termination reason: Refutation not found, incomplete strategy
% 46.03/7.39 % (3216003)Time elapsed: 0.003 s
% 46.03/7.39 % (3216003)Peak memory usage: 88 MB
% 46.03/7.39 % (3216003)Instructions burned: 2 (million)
% 46.03/7.39 % (3215989)Instruction limit reached!
% 46.03/7.39 % (3215989)------------------------------
% 46.03/7.39 % (3215989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.03/7.39 % (3215989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.03/7.39 % (3215989)CaDiCaL version: 2.1.3
% 46.03/7.39 % (3215989)Termination reason: Instruction limit
% 46.03/7.39 % (3215989)Termination phase: Saturation
% 46.03/7.39 % (3215989)Time elapsed: 0.795 s
% 46.03/7.39 % (3215989)Peak memory usage: 142 MB
% 46.03/7.39 % (3215989)Instructions burned: 2353 (million)
% 46.03/7.39 % (3215996)Instruction limit reached!
% 46.03/7.39 % (3215996)------------------------------
% 46.03/7.39 % (3215996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.03/7.39 % (3215996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.03/7.39 % (3215996)CaDiCaL version: 2.1.3
% 46.03/7.39 % (3215996)Termination reason: Instruction limit
% 46.03/7.39 % (3215996)Termination phase: Saturation
% 46.03/7.39 % (3215996)Time elapsed: 0.566 s
% 46.03/7.39 % (3215996)Peak memory usage: 100 MB
% 46.03/7.39 % (3215996)Instructions burned: 908 (million)
% 46.03/7.39 % (3216005)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1767860310:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 46.03/7.39 % (3216003)------------------------------
% 46.03/7.39 % (3216003)------------------------------
% 46.03/7.39 % (3216006)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1572839182:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 46.03/7.39 % (3216005)Instruction limit reached!
% 48.15/7.69 % (3216005)------------------------------
% 48.15/7.69 % (3216005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.15/7.69 % (3216005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.15/7.69 % (3216005)CaDiCaL version: 2.1.3
% 48.15/7.69 % (3216005)Termination reason: Instruction limit
% 48.15/7.69 % (3216005)Termination phase: Saturation
% 48.15/7.69 % (3216005)Time elapsed: 0.115 s
% 48.15/7.69 % (3216005)Peak memory usage: 89 MB
% 48.15/7.69 % (3216005)Instructions burned: 597 (million)
% 48.15/7.69 % (3216008)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3499668418:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 48.15/7.69 % (3216010)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2300439513:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 48.15/7.69 % (3216008)Instruction limit reached!
% 48.15/7.69 % (3216008)------------------------------
% 48.15/7.69 % (3216008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.15/7.69 % (3216008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.15/7.69 % (3216008)CaDiCaL version: 2.1.3
% 48.15/7.69 % (3216008)Termination reason: Instruction limit
% 48.15/7.69 % (3216008)Termination phase: Saturation
% 48.15/7.69 % (3216008)Time elapsed: 0.093 s
% 48.15/7.69 % (3216008)Peak memory usage: 90 MB
% 48.15/7.69 % (3216008)Instructions burned: 126 (million)
% 48.15/7.69 % (3216010)Instruction limit reached!
% 48.15/7.69 % (3216010)------------------------------
% 48.15/7.69 % (3216010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.15/7.69 % (3216010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.15/7.69 % (3216010)CaDiCaL version: 2.1.3
% 48.15/7.69 % (3216010)Termination reason: Instruction limit
% 48.15/7.69 % (3216010)Termination phase: Saturation
% 48.15/7.69 % (3216010)Time elapsed: 0.041 s
% 48.15/7.69 % (3216010)Peak memory usage: 89 MB
% 48.15/7.69 % (3216010)Instructions burned: 137 (million)
% 48.15/7.69 % (3216014)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2036636887:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 48.15/7.69 % (3216013)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3870155798:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 48.15/7.69 % (3216013)Instruction limit reached!
% 48.15/7.69 % (3216013)------------------------------
% 48.15/7.69 % (3216013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.15/7.69 % (3216013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.15/7.69 % (3216013)CaDiCaL version: 2.1.3
% 48.15/7.69 % (3216013)Termination reason: Instruction limit
% 48.15/7.69 % (3216013)Termination phase: Saturation
% 48.15/7.69 % (3216013)Time elapsed: 0.088 s
% 48.15/7.69 % (3216013)Peak memory usage: 90 MB
% 48.15/7.69 % (3216013)Instructions burned: 142 (million)
% 48.15/7.69 % (3216014)Instruction limit reached!
% 48.15/7.69 % (3216014)------------------------------
% 48.15/7.69 % (3216014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.15/7.69 % (3216014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.15/7.69 % (3216014)CaDiCaL version: 2.1.3
% 48.15/7.69 % (3216014)Termination reason: Instruction limit
% 48.15/7.69 % (3216014)Termination phase: Saturation
% 48.15/7.69 % (3216014)Time elapsed: 0.132 s
% 48.15/7.69 % (3216014)Peak memory usage: 91 MB
% 48.15/7.69 % (3216014)Instructions burned: 431 (million)
% 48.15/7.69 % (3216017)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1332197900:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 48.15/7.69 % (3216018)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2866911041:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2977 on theBenchmark for (2977ds/150Mi)
% 48.15/7.69 % (3216018)Instruction limit reached!
% 48.15/7.69 % (3216018)------------------------------
% 48.15/7.69 % (3216018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.15/7.69 % (3216018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.15/7.69 % (3216018)CaDiCaL version: 2.1.3
% 48.15/7.69 % (3216018)Termination reason: Instruction limit
% 48.15/7.69 % (3216018)Termination phase: Saturation
% 48.15/7.69 % (3216018)Time elapsed: 0.055 s
% 48.15/7.69 % (3216018)Peak memory usage: 91 MB
% 48.15/7.69 % (3216018)Instructions burned: 151 (million)
% 48.15/7.69 % (3216021)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1346718331:i=14155:bd=all_2976 on theBenchmark for (2976ds/14155Mi)
% 48.15/7.69 % (3215999)Instruction limit reached!
% 48.15/7.69 % (3215999)------------------------------
% 48.15/7.69 % (3215999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.15/7.69 % (3215999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.15/7.69 % (3215999)CaDiCaL version: 2.1.3
% 48.15/7.69 % (3215999)Termination reason: Instruction limit
% 48.15/7.69 % (3215999)Termination phase: Saturation
% 48.15/7.69 % (3215999)Time elapsed: 3.056 s
% 48.15/7.69 % (3215999)Peak memory usage: 151 MB
% 48.15/7.69 % (3215999)Instructions burned: 5203 (million)
% 48.15/7.69 % (3216023)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2161197671:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 48.15/7.69 % (3216023)Instruction limit reached!
% 48.15/7.69 % (3216023)------------------------------
% 48.15/7.69 % (3216023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.15/7.69 % (3216023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.15/7.69 % (3216023)CaDiCaL version: 2.1.3
% 48.15/7.69 % (3216023)Termination reason: Instruction limit
% 48.15/7.69 % (3216023)Termination phase: Saturation
% 48.15/7.69 % (3216023)Time elapsed: 0.396 s
% 48.15/7.69 % (3216023)Peak memory usage: 107 MB
% 48.15/7.69 % (3216023)Instructions burned: 669 (million)
% 48.15/7.69 % (3216025)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=4141640306:s2a=on:i=185:s2at=1.8:fdi=4_2952 on theBenchmark for (2952ds/185Mi)
% 48.15/7.69 % (3216025)Instruction limit reached!
% 48.15/7.69 % (3216025)------------------------------
% 48.15/7.69 % (3216025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.15/7.69 % (3216025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.15/7.69 % (3216025)CaDiCaL version: 2.1.3
% 48.15/7.69 % (3216025)Termination reason: Instruction limit
% 48.15/7.69 % (3216025)Termination phase: Saturation
% 48.15/7.69 % (3216025)Time elapsed: 0.126 s
% 48.15/7.69 % (3216025)Peak memory usage: 91 MB
% 48.15/7.69 % (3216025)Instructions burned: 185 (million)
% 48.15/7.69 % (3216027)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2012528385:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2949 on theBenchmark for (2949ds/193Mi)
% 48.15/7.69 % (3216027)Instruction limit reached!
% 48.15/7.69 % (3216027)------------------------------
% 48.15/7.69 % (3216027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.15/7.69 % (3216027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.15/7.69 % (3216027)CaDiCaL version: 2.1.3
% 48.15/7.69 % (3216027)Termination reason: Instruction limit
% 48.15/7.69 % (3216027)Termination phase: Saturation
% 48.15/7.69 % (3216027)Time elapsed: 0.112 s
% 48.15/7.69 % (3216027)Peak memory usage: 92 MB
% 48.15/7.69 % (3216027)Instructions burned: 194 (million)
% 48.15/7.69 % (3216029)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3320764727:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2946 on theBenchmark for (2946ds/4850Mi)
% 48.15/7.69 % (3216017)Instruction limit reached!
% 48.15/7.69 % (3216017)------------------------------
% 48.15/7.69 % (3216017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.15/7.69 % (3216017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.15/7.69 % (3216017)CaDiCaL version: 2.1.3
% 48.15/7.69 % (3216017)Termination reason: Instruction limit
% 48.15/7.69 % (3216017)Termination phase: Saturation
% 48.15/7.69 % (3216017)Time elapsed: 3.737 s
% 48.15/7.69 % (3216017)Peak memory usage: 163 MB
% 48.15/7.69 % (3216017)Instructions burned: 6060 (million)
% 48.15/7.69 % (3216031)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=149029340:i=12111:sd=1:ss=included_2939 on theBenchmark for (2939ds/12111Mi)
% 48.15/7.69 % (3215966)First to succeed.
% 48.15/7.69 % (3215966)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3215960"
% 48.15/7.69 % (3215966)Refutation found. Thanks to Tanya!
% 48.15/7.69 % SZS status Theorem for theBenchmark
% 48.15/7.69 % SZS output start Proof for theBenchmark
% See solution above
% 48.94/7.89 % (3215966)------------------------------
% 48.94/7.89 % (3215966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.94/7.89 % (3215966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.94/7.89 % (3215966)CaDiCaL version: 2.1.3
% 48.94/7.89 % (3215966)Termination reason: Refutation
% 48.94/7.89 % (3215966)Time elapsed: 6.355 s
% 48.94/7.89 % (3215966)Peak memory usage: 194 MB
% 48.94/7.89 % (3215966)Instructions burned: 9633 (million)
% 48.94/7.89 % (3215966)------------------------------
% 48.94/7.89 % (3215966)------------------------------
% 48.94/7.89 % (3215960)Success in time 6.824 s
% 48.94/7.89 % Vampire exiting
%------------------------------------------------------------------------------