%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO016+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:30:28 PM UTC 2026
% Result : Theorem 14.02s 2.68s
% Output : Refutation 14.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 27
% Syntax : Number of formulae : 231 ( 25 unt; 13 def)
% Number of atoms : 921 ( 36 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1200 ( 510 ~; 516 |; 142 &)
% ( 18 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 13 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 319 ( 0 sgn 273 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( min_precedes(X0,X1,X3)
& min_precedes(X1,X2,X3) )
=> min_precedes(X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X2,X3)
& ~ atomic(X3)
& leaf_occ(X0,X2)
& leaf_occ(X1,X2) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f5,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( min_precedes(X0,X1,X2)
& ~ ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f12,axiom,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
fof(f14,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
fof(f16,axiom,
! [X0,X1] :
( atocc(X0,X1)
<=> ? [X2] :
( subactivity(X1,X2)
& atomic(X2)
& occurrence_of(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& leaf_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(f23,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(f25,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
fof(f27,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3,X4] :
( subactivity(X3,X0)
& subactivity(X4,X0)
& atocc(X1,X3)
& atocc(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
fof(f33,axiom,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2,X3,X4] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X2,X3,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X3,X4,tptp0)
& leaf_occ(X4,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(f35,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(f36,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(f46,conjecture,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2,X3] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X2,X3,tptp0)
& leaf_occ(X3,X1)
& ( occurrence_of(X3,tptp1)
=> ~ ? [X4] :
( occurrence_of(X4,tptp2)
& min_precedes(X2,X4,tptp0) ) )
& ( occurrence_of(X3,tptp2)
=> ~ ? [X5] :
( occurrence_of(X5,tptp1)
& min_precedes(X2,X5,tptp0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f47,negated_conjecture,
~ ! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2,X3] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& min_precedes(X2,X3,tptp0)
& leaf_occ(X3,X1)
& ( occurrence_of(X3,tptp1)
=> ~ ? [X4] :
( occurrence_of(X4,tptp2)
& min_precedes(X2,X4,tptp0) ) )
& ( occurrence_of(X3,tptp2)
=> ~ ? [X5] :
( occurrence_of(X5,tptp1)
& min_precedes(X2,X5,tptp0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f50,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ occurrence_of(X2,tptp3)
| ~ next_subocc(X0,X2,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ min_precedes(X2,X3,tptp0)
| ~ leaf_occ(X3,X1)
| ( ? [X4] :
( occurrence_of(X4,tptp2)
& min_precedes(X2,X4,tptp0) )
& occurrence_of(X3,tptp1) )
| ( ? [X5] :
( occurrence_of(X5,tptp1)
& min_precedes(X2,X5,tptp0) )
& occurrence_of(X3,tptp2) ) )
& occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f51,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ occurrence_of(X2,tptp3)
| ~ next_subocc(X0,X2,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ min_precedes(X2,X3,tptp0)
| ~ leaf_occ(X3,X1)
| ( ? [X4] :
( occurrence_of(X4,tptp2)
& min_precedes(X2,X4,tptp0) )
& occurrence_of(X3,tptp1) )
| ( ? [X5] :
( occurrence_of(X5,tptp1)
& min_precedes(X2,X5,tptp0) )
& occurrence_of(X3,tptp2) ) )
& occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X2,X3,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X3,X4,tptp0)
& leaf_occ(X4,X1) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( occurrence_of(X2,tptp3)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X2,X3,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X3,X4,tptp0)
& leaf_occ(X4,X1) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( subactivity(X3,X0)
& subactivity(X4,X0)
& atocc(X1,X3)
& atocc(X2,X4) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(flattening,[],[f58]) ).
fof(f62,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( min_precedes(X0,X2,X3)
| ~ min_precedes(X0,X1,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(ennf_transformation,[],[f1]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( min_precedes(X0,X2,X3)
| ~ min_precedes(X0,X1,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(flattening,[],[f63]) ).
fof(f67,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f68,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(flattening,[],[f70]) ).
fof(f96,definition,
! [X2,X3] :
( ( ? [X5] :
( occurrence_of(X5,tptp1)
& min_precedes(X2,X5,tptp0) )
& occurrence_of(X3,tptp2) )
| ~ sP0(X2,X3) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f97,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ occurrence_of(X2,tptp3)
| ~ next_subocc(X0,X2,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ min_precedes(X2,X3,tptp0)
| ~ leaf_occ(X3,X1)
| ( ? [X4] :
( occurrence_of(X4,tptp2)
& min_precedes(X2,X4,tptp0) )
& occurrence_of(X3,tptp1) )
| sP0(X2,X3) )
& occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) ),
inference(definition_folding,[],[f51,f96]) ).
fof(f101,plain,
( ! [X2,X3] :
( ~ occurrence_of(X2,tptp3)
| ~ next_subocc(sK2,X2,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ min_precedes(X2,X3,tptp0)
| ~ leaf_occ(X3,sK3)
| ( occurrence_of(sK4(X2),tptp2)
& min_precedes(X2,sK4(X2),tptp0)
& occurrence_of(X3,tptp1) )
| sP0(X2,X3) )
& occurrence_of(sK3,tptp0)
& subactivity_occurrence(sK2,sK3)
& arboreal(sK2)
& ~ leaf_occ(sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X4,sK4(X2))],[f97]) ).
fof(f102,plain,
! [X0,X1] :
( ( occurrence_of(sK5(X0,X1),tptp3)
& next_subocc(X0,sK5(X0,X1),tptp0)
& occurrence_of(sK6(X0,X1),tptp4)
& next_subocc(sK5(X0,X1),sK6(X0,X1),tptp0)
& ( occurrence_of(sK7(X0,X1),tptp1)
| occurrence_of(sK7(X0,X1),tptp2) )
& next_subocc(sK6(X0,X1),sK7(X0,X1),tptp0)
& leaf_occ(sK7(X0,X1),X1) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X2,sK5(X0,X1)),skolemize(X3,sK6(X0,X1)),skolemize(X4,sK7(X0,X1))],[f53]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( subactivity(sK8(X0,X1,X2),X0)
& subactivity(sK9(X0,X1,X2),X0)
& atocc(X1,sK8(X0,X1,X2))
& atocc(X2,sK9(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X3,sK8(X0,X1,X2)),skolemize(X4,sK9(X0,X1,X2))],[f56]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK10(X0,X1,X2),X0)
& subactivity_occurrence(X1,sK10(X0,X1,X2))
& subactivity_occurrence(X2,sK10(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X0,X1,X2))],[f57]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X4] :
( ~ min_precedes(X0,X4,X2)
| ~ min_precedes(X4,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(rectify,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ( min_precedes(X0,sK13(X0,X1,X2),X2)
& min_precedes(sK13(X0,X1,X2),X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X4] :
( ~ min_precedes(X0,X4,X2)
| ~ min_precedes(X4,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X3,sK13(X0,X1,X2))],[f111]) ).
fof(f114,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f69]) ).
fof(f117,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) )
| ~ leaf_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f118,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ? [X3] :
( occurrence_of(X1,X3)
& subactivity_occurrence(X0,X1)
& leaf(X0,X3) )
| ~ leaf_occ(X0,X1) ) ),
inference(rectify,[],[f117]) ).
fof(f119,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ( occurrence_of(X1,sK17(X0,X1))
& subactivity_occurrence(X0,X1)
& leaf(X0,sK17(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X3,sK17(X0,X1))],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ subactivity(X1,X2)
| ~ atomic(X2)
| ~ occurrence_of(X0,X2) ) )
& ( ? [X2] :
( subactivity(X1,X2)
& atomic(X2)
& occurrence_of(X0,X2) )
| ~ atocc(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f121,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ subactivity(X1,X2)
| ~ atomic(X2)
| ~ occurrence_of(X0,X2) ) )
& ( ? [X3] :
( subactivity(X1,X3)
& atomic(X3)
& occurrence_of(X0,X3) )
| ~ atocc(X0,X1) ) ),
inference(rectify,[],[f120]) ).
fof(f122,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ subactivity(X1,X2)
| ~ atomic(X2)
| ~ occurrence_of(X0,X2) ) )
& ( ( subactivity(X1,sK18(X0,X1))
& atomic(sK18(X0,X1))
& occurrence_of(X0,sK18(X0,X1)) )
| ~ atocc(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X3,sK18(X0,X1))],[f121]) ).
fof(f128,plain,
~ leaf_occ(sK2,sK3),
inference(cnf_transformation,[],[f101]) ).
fof(f129,plain,
arboreal(sK2),
inference(cnf_transformation,[],[f101]) ).
fof(f130,plain,
subactivity_occurrence(sK2,sK3),
inference(cnf_transformation,[],[f101]) ).
fof(f131,plain,
occurrence_of(sK3,tptp0),
inference(cnf_transformation,[],[f101]) ).
fof(f138,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f35]) ).
fof(f140,plain,
! [X0,X1] :
( leaf_occ(sK7(X0,X1),X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f141,plain,
! [X0,X1] :
( next_subocc(sK6(X0,X1),sK7(X0,X1),tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f143,plain,
! [X0,X1] :
( next_subocc(sK5(X0,X1),sK6(X0,X1),tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f144,plain,
! [X0,X1] :
( occurrence_of(sK6(X0,X1),tptp4)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f145,plain,
! [X0,X1] :
( next_subocc(X0,sK5(X0,X1),tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f149,plain,
! [X2,X0,X1] :
( atocc(X1,sK8(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f152,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK10(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f153,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X1,sK10(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f154,plain,
! [X2,X0,X1] :
( occurrence_of(sK10(X0,X1,X2),X0)
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f161,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3)
| min_precedes(X0,X2,X3) ),
inference(cnf_transformation,[],[f64]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f68]) ).
fof(f174,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X2)
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f71]) ).
fof(f185,plain,
! [X0,X1] :
( leaf(X0,sK17(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f187,plain,
! [X0,X1] :
( occurrence_of(X1,sK17(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ leaf(X0,X2)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f195,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f36]) ).
fof(f196,plain,
! [X0,X1] :
( occurrence_of(X0,sK18(X0,X1))
| ~ atocc(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f197,plain,
! [X0,X1] :
( atomic(sK18(X0,X1))
| ~ atocc(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f216,plain,
! [X0,X1] :
( min_precedes(X0,sK5(X0,X1),tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(resolution,[],[f162,f145]) ).
fof(f217,plain,
! [X0,X1] :
( min_precedes(sK6(X1,X0),sK7(X1,X0),tptp0)
| ~ subactivity_occurrence(X1,X0)
| ~ arboreal(X1)
| leaf_occ(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f141,f162]) ).
fof(f218,plain,
! [X0,X1] :
( min_precedes(sK5(X1,X0),sK6(X1,X0),tptp0)
| ~ subactivity_occurrence(X1,X0)
| ~ arboreal(X1)
| leaf_occ(X1,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f143,f162]) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ arboreal(X1)
| leaf_occ(X1,X2) ),
inference(resolution,[],[f155,f216]) ).
fof(f220,plain,
! [X0] :
( ~ leaf_occ(sK2,X0)
| ~ occurrence_of(sK3,tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ arboreal(sK2)
| leaf_occ(sK2,sK3) ),
inference(resolution,[],[f219,f130]) ).
fof(f221,plain,
! [X0] :
( ~ leaf_occ(sK2,X0)
| ~ occurrence_of(X0,tptp0)
| ~ arboreal(sK2)
| leaf_occ(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f220,f131]) ).
fof(f222,plain,
! [X0] :
( ~ leaf_occ(sK2,X0)
| ~ occurrence_of(X0,tptp0)
| leaf_occ(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f221,f129]) ).
fof(f223,plain,
! [X0] :
( ~ leaf_occ(sK2,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(forward_subsumption_resolution,[],[f222,f128]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ leaf_occ(sK6(X0,X1),X2)
| ~ arboreal(X0)
| leaf_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X0,X1) ),
inference(resolution,[],[f217,f155]) ).
fof(f234,plain,
! [X0,X1] :
( ~ atomic(tptp4)
| arboreal(sK6(X0,X1))
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(resolution,[],[f174,f144]) ).
fof(f237,plain,
! [X0,X1] :
( arboreal(sK6(X0,X1))
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(forward_subsumption_resolution,[],[f234,f195]) ).
fof(f244,plain,
! [X0] :
( ~ occurrence_of(sK3,X0)
| tptp0 = X0 ),
inference(resolution,[],[f172,f131]) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( ~ occurrence_of(sK10(X2,X0,X1),X3)
| ~ min_precedes(X0,X1,X2)
| X2 = X3 ),
inference(resolution,[],[f154,f172]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ min_precedes(sK6(X1,X2),X0,tptp0)
| ~ min_precedes(X0,sK7(X1,X2),tptp0)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1)
| leaf_occ(X1,X2) ),
inference(resolution,[],[f161,f141]) ).
fof(f263,plain,
! [X0] :
( ~ leaf_occ(X0,sK3)
| tptp0 = sK17(X0,sK3) ),
inference(resolution,[],[f187,f244]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,sK5(X1,X2),tptp0)
| min_precedes(X0,sK6(X1,X2),tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(resolution,[],[f165,f218]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X2,sK17(X0,X1))
| ~ leaf_occ(X0,X1)
| ~ subactivity_occurrence(X0,X2)
| leaf_occ(X0,X2) ),
inference(resolution,[],[f185,f188]) ).
fof(f345,plain,
! [X0] :
( tptp0 = sK17(sK7(X0,sK3),sK3)
| ~ occurrence_of(sK3,tptp0)
| ~ subactivity_occurrence(X0,sK3)
| ~ arboreal(X0)
| leaf_occ(X0,sK3) ),
inference(resolution,[],[f263,f140]) ).
fof(f346,plain,
! [X0] :
( ~ subactivity_occurrence(X0,sK3)
| tptp0 = sK17(sK7(X0,sK3),sK3)
| ~ arboreal(X0)
| leaf_occ(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f345,f131]) ).
fof(f347,plain,
( tptp0 = sK17(sK7(sK2,sK3),sK3)
| ~ arboreal(sK2)
| leaf_occ(sK2,sK3) ),
inference(resolution,[],[f346,f130]) ).
fof(f348,plain,
( tptp0 = sK17(sK7(sK2,sK3),sK3)
| leaf_occ(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f347,f129]) ).
fof(f349,plain,
tptp0 = sK17(sK7(sK2,sK3),sK3),
inference(forward_subsumption_resolution,[],[f348,f128]) ).
fof(f350,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ leaf_occ(sK7(sK2,sK3),sK3)
| ~ subactivity_occurrence(sK7(sK2,sK3),X0)
| leaf_occ(sK7(sK2,sK3),X0) ),
inference(superposition,[],[f277,f349]) ).
fof(f354,definition,
( spl21_3
<=> leaf_occ(sK7(sK2,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl21_3])],[avatar_definition]) ).
fof(f356,plain,
( ~ leaf_occ(sK7(sK2,sK3),sK3)
| spl21_3 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f363,definition,
( spl21_5
<=> ! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK7(sK2,sK3),X0)
| ~ subactivity_occurrence(sK7(sK2,sK3),X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_5])],[avatar_definition]) ).
fof(f364,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK7(sK2,sK3),X0)
| leaf_occ(sK7(sK2,sK3),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f365,plain,
( ~ spl21_3
| spl21_5 ),
inference(avatar_split_clause,[],[f350,f363,f354]) ).
fof(f366,plain,
( ~ occurrence_of(sK3,tptp0)
| ~ subactivity_occurrence(sK2,sK3)
| ~ arboreal(sK2)
| leaf_occ(sK2,sK3)
| spl21_3 ),
inference(resolution,[],[f356,f140]) ).
fof(f367,plain,
( ~ occurrence_of(sK3,tptp0)
| ~ subactivity_occurrence(sK2,sK3)
| ~ arboreal(sK2)
| spl21_3 ),
inference(forward_subsumption_resolution,[],[f366,f223]) ).
fof(f368,plain,
( ~ subactivity_occurrence(sK2,sK3)
| ~ arboreal(sK2)
| spl21_3 ),
inference(forward_subsumption_resolution,[],[f367,f131]) ).
fof(f369,plain,
( ~ arboreal(sK2)
| spl21_3 ),
inference(forward_subsumption_resolution,[],[f368,f130]) ).
fof(f370,plain,
( $false
| spl21_3 ),
inference(forward_subsumption_resolution,[],[f369,f129]) ).
fof(f371,plain,
spl21_3,
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f376,plain,
( ! [X0,X1] :
( leaf_occ(sK7(sK2,sK3),sK10(X0,X1,sK7(sK2,sK3)))
| ~ occurrence_of(sK10(X0,X1,sK7(sK2,sK3)),tptp0)
| ~ min_precedes(X1,sK7(sK2,sK3),X0) )
| ~ spl21_5 ),
inference(resolution,[],[f364,f152]) ).
fof(f393,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| ~ atomic(sK18(X0,X1))
| arboreal(X0) ),
inference(resolution,[],[f196,f174]) ).
fof(f398,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| arboreal(X0) ),
inference(forward_subsumption_resolution,[],[f393,f197]) ).
fof(f399,plain,
! [X0,X1] :
( min_precedes(X0,sK6(X0,X1),tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(resolution,[],[f268,f216]) ).
fof(f402,plain,
! [X0,X1] :
( min_precedes(X0,sK6(X0,X1),tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(duplicate_literal_removal,[],[f399]) ).
fof(f408,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(sK6(X0,X1),X2)
| ~ arboreal(sK6(X0,X1))
| leaf_occ(sK6(X0,X1),X2)
| ~ occurrence_of(X2,tptp0)
| ~ min_precedes(sK6(sK6(X0,X1),X2),sK7(X0,X1),tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(resolution,[],[f402,f257]) ).
fof(f410,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(sK6(X0,X1),X2)
| leaf_occ(sK6(X0,X1),X2)
| ~ occurrence_of(X2,tptp0)
| ~ min_precedes(sK6(sK6(X0,X1),X2),sK7(X0,X1),tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(forward_subsumption_resolution,[],[f408,f237]) ).
fof(f412,plain,
! [X2,X0,X1] :
( ~ min_precedes(sK6(sK6(X0,X1),X2),sK7(X0,X1),tptp0)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(sK6(X0,X1),X2)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(forward_subsumption_resolution,[],[f410,f224]) ).
fof(f509,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| arboreal(X0) ),
inference(resolution,[],[f149,f398]) ).
fof(f793,definition,
( spl21_29
<=> occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_29])],[avatar_definition]) ).
fof(f795,plain,
( occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),tptp0)
| ~ spl21_29 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f838,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X3,sK10(X2,X0,X1))
| sK17(X3,sK10(X2,X0,X1)) = X2
| ~ min_precedes(X0,X1,X2) ),
inference(resolution,[],[f252,f187]) ).
fof(f843,plain,
( ! [X0,X1] :
( sK17(sK7(sK2,sK3),sK10(X0,X1,sK7(sK2,sK3))) = X0
| ~ min_precedes(X1,sK7(sK2,sK3),X0)
| ~ occurrence_of(sK10(X0,X1,sK7(sK2,sK3)),tptp0)
| ~ min_precedes(X1,sK7(sK2,sK3),X0) )
| ~ spl21_5 ),
inference(resolution,[],[f838,f376]) ).
fof(f845,plain,
( ! [X0,X1] :
( ~ occurrence_of(sK10(X0,X1,sK7(sK2,sK3)),tptp0)
| ~ min_precedes(X1,sK7(sK2,sK3),X0)
| sK17(sK7(sK2,sK3),sK10(X0,X1,sK7(sK2,sK3))) = X0 )
| ~ spl21_5 ),
inference(duplicate_literal_removal,[],[f843]) ).
fof(f880,plain,
( ! [X0] :
( ~ min_precedes(X0,sK7(sK2,sK3),tptp0)
| tptp0 = sK17(sK7(sK2,sK3),sK10(tptp0,X0,sK7(sK2,sK3)))
| ~ min_precedes(X0,sK7(sK2,sK3),tptp0) )
| ~ spl21_5 ),
inference(resolution,[],[f845,f154]) ).
fof(f881,plain,
( ! [X0] :
( ~ min_precedes(X0,sK7(sK2,sK3),tptp0)
| tptp0 = sK17(sK7(sK2,sK3),sK10(tptp0,X0,sK7(sK2,sK3))) )
| ~ spl21_5 ),
inference(duplicate_literal_removal,[],[f880]) ).
fof(f895,plain,
( tptp0 = sK17(sK7(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ subactivity_occurrence(sK2,sK3)
| ~ arboreal(sK2)
| leaf_occ(sK2,sK3)
| ~ occurrence_of(sK3,tptp0)
| ~ spl21_5 ),
inference(resolution,[],[f881,f217]) ).
fof(f906,plain,
( tptp0 = sK17(sK7(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ subactivity_occurrence(sK2,sK3)
| ~ arboreal(sK2)
| ~ occurrence_of(sK3,tptp0)
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f895,f223]) ).
fof(f910,plain,
( tptp0 = sK17(sK7(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ arboreal(sK2)
| ~ occurrence_of(sK3,tptp0)
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f906,f130]) ).
fof(f913,plain,
( tptp0 = sK17(sK7(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ occurrence_of(sK3,tptp0)
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f910,f129]) ).
fof(f916,plain,
( tptp0 = sK17(sK7(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f913,f131]) ).
fof(f920,plain,
( occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),tptp0)
| ~ leaf_occ(sK7(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ spl21_5 ),
inference(superposition,[],[f187,f916]) ).
fof(f922,definition,
( spl21_35
<=> leaf_occ(sK7(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl21_35])],[avatar_definition]) ).
fof(f923,plain,
( leaf_occ(sK7(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ spl21_35 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f924,plain,
( ~ leaf_occ(sK7(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| spl21_35 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f925,plain,
( ~ spl21_35
| spl21_29
| ~ spl21_5 ),
inference(avatar_split_clause,[],[f920,f363,f793,f922]) ).
fof(f950,plain,
( ~ occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),tptp0)
| ~ min_precedes(sK6(sK2,sK3),sK7(sK2,sK3),tptp0)
| ~ spl21_5
| spl21_35 ),
inference(resolution,[],[f924,f376]) ).
fof(f951,plain,
( ~ min_precedes(sK6(sK2,sK3),sK7(sK2,sK3),tptp0)
| ~ spl21_5
| spl21_35 ),
inference(forward_subsumption_resolution,[],[f950,f154]) ).
fof(f952,plain,
( ~ subactivity_occurrence(sK2,sK3)
| ~ arboreal(sK2)
| leaf_occ(sK2,sK3)
| ~ occurrence_of(sK3,tptp0)
| ~ spl21_5
| spl21_35 ),
inference(resolution,[],[f951,f217]) ).
fof(f958,plain,
( ~ subactivity_occurrence(sK2,sK3)
| ~ arboreal(sK2)
| ~ occurrence_of(sK3,tptp0)
| ~ spl21_5
| spl21_35 ),
inference(forward_subsumption_resolution,[],[f952,f223]) ).
fof(f965,definition,
( spl21_41
<=> arboreal(sK6(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl21_41])],[avatar_definition]) ).
fof(f966,plain,
( arboreal(sK6(sK2,sK3))
| ~ spl21_41 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f977,plain,
( ~ arboreal(sK2)
| ~ occurrence_of(sK3,tptp0)
| ~ spl21_5
| spl21_35 ),
inference(forward_subsumption_resolution,[],[f958,f130]) ).
fof(f979,plain,
( ~ occurrence_of(sK3,tptp0)
| ~ spl21_5
| spl21_35 ),
inference(forward_subsumption_resolution,[],[f977,f129]) ).
fof(f981,plain,
( $false
| ~ spl21_5
| spl21_35 ),
inference(forward_subsumption_resolution,[],[f979,f131]) ).
fof(f982,plain,
( ~ spl21_5
| spl21_35 ),
inference(avatar_contradiction_clause,[],[f981]) ).
fof(f998,plain,
( ! [X0,X1] :
( ~ occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),X0)
| atomic(X0)
| ~ leaf_occ(X1,sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| sK7(sK2,sK3) = X1 )
| ~ spl21_35 ),
inference(resolution,[],[f923,f175]) ).
fof(f1000,definition,
( spl21_44
<=> ! [X1] :
( ~ leaf_occ(X1,sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| sK7(sK2,sK3) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl21_44])],[avatar_definition]) ).
fof(f1001,plain,
( ! [X1] :
( ~ leaf_occ(X1,sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| sK7(sK2,sK3) = X1 )
| ~ spl21_44 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1003,definition,
( spl21_45
<=> ! [X0] :
( ~ occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),X0)
| atomic(X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_45])],[avatar_definition]) ).
fof(f1004,plain,
( ! [X0] :
( ~ occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),X0)
| atomic(X0) )
| ~ spl21_45 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1005,plain,
( spl21_44
| spl21_45
| ~ spl21_35 ),
inference(avatar_split_clause,[],[f998,f922,f1003,f1000]) ).
fof(f1125,definition,
( spl21_54
<=> min_precedes(sK6(sK2,sK3),sK7(sK2,sK3),tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_54])],[avatar_definition]) ).
fof(f1126,plain,
( min_precedes(sK6(sK2,sK3),sK7(sK2,sK3),tptp0)
| ~ spl21_54 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f1127,plain,
( ~ min_precedes(sK6(sK2,sK3),sK7(sK2,sK3),tptp0)
| spl21_54 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f1132,plain,
( ~ subactivity_occurrence(sK2,sK3)
| ~ arboreal(sK2)
| leaf_occ(sK2,sK3)
| ~ occurrence_of(sK3,tptp0)
| spl21_54 ),
inference(resolution,[],[f1127,f217]) ).
fof(f1138,plain,
( ~ subactivity_occurrence(sK2,sK3)
| ~ arboreal(sK2)
| ~ occurrence_of(sK3,tptp0)
| spl21_54 ),
inference(forward_subsumption_resolution,[],[f1132,f223]) ).
fof(f1141,plain,
( ~ arboreal(sK2)
| ~ occurrence_of(sK3,tptp0)
| spl21_54 ),
inference(forward_subsumption_resolution,[],[f1138,f130]) ).
fof(f1143,plain,
( ~ occurrence_of(sK3,tptp0)
| spl21_54 ),
inference(forward_subsumption_resolution,[],[f1141,f129]) ).
fof(f1145,plain,
( $false
| spl21_54 ),
inference(forward_subsumption_resolution,[],[f1143,f131]) ).
fof(f1146,plain,
spl21_54,
inference(avatar_contradiction_clause,[],[f1145]) ).
fof(f1152,plain,
( ! [X0] :
( ~ leaf_occ(sK6(sK2,sK3),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl21_54 ),
inference(resolution,[],[f1126,f155]) ).
fof(f1156,plain,
( arboreal(sK6(sK2,sK3))
| ~ spl21_54 ),
inference(resolution,[],[f1126,f509]) ).
fof(f1159,plain,
( spl21_41
| ~ spl21_54 ),
inference(avatar_split_clause,[],[f1156,f1125,f965]) ).
fof(f1241,plain,
( ! [X0] :
( sK7(sK2,sK3) = sK7(X0,sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),tptp0)
| ~ subactivity_occurrence(X0,sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ arboreal(X0)
| leaf_occ(X0,sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3))) )
| ~ spl21_44 ),
inference(resolution,[],[f1001,f140]) ).
fof(f1242,plain,
( ! [X0] :
( ~ subactivity_occurrence(X0,sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| sK7(sK2,sK3) = sK7(X0,sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ arboreal(X0)
| leaf_occ(X0,sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3))) )
| ~ spl21_29
| ~ spl21_44 ),
inference(forward_subsumption_resolution,[],[f1241,f795]) ).
fof(f1448,plain,
( sK7(sK2,sK3) = sK7(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ arboreal(sK6(sK2,sK3))
| leaf_occ(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ min_precedes(sK6(sK2,sK3),sK7(sK2,sK3),tptp0)
| ~ spl21_29
| ~ spl21_44 ),
inference(resolution,[],[f1242,f153]) ).
fof(f1451,plain,
( sK7(sK2,sK3) = sK7(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| leaf_occ(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ min_precedes(sK6(sK2,sK3),sK7(sK2,sK3),tptp0)
| ~ spl21_29
| ~ spl21_44 ),
inference(forward_subsumption_resolution,[],[f1448,f509]) ).
fof(f1452,plain,
( sK7(sK2,sK3) = sK7(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| leaf_occ(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ spl21_29
| ~ spl21_44
| ~ spl21_54 ),
inference(forward_subsumption_resolution,[],[f1451,f1126]) ).
fof(f1454,definition,
( spl21_59
<=> leaf_occ(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl21_59])],[avatar_definition]) ).
fof(f1456,plain,
( leaf_occ(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ spl21_59 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1458,definition,
( spl21_60
<=> sK7(sK2,sK3) = sK7(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl21_60])],[avatar_definition]) ).
fof(f1460,plain,
( sK7(sK2,sK3) = sK7(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ spl21_60 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f1461,plain,
( spl21_59
| spl21_60
| ~ spl21_29
| ~ spl21_44
| ~ spl21_54 ),
inference(avatar_split_clause,[],[f1452,f1125,f1000,f793,f1458,f1454]) ).
fof(f1465,plain,
( min_precedes(sK6(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3))),sK7(sK2,sK3),tptp0)
| ~ subactivity_occurrence(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ arboreal(sK6(sK2,sK3))
| leaf_occ(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),tptp0)
| ~ spl21_60 ),
inference(superposition,[],[f217,f1460]) ).
fof(f1487,plain,
( min_precedes(sK6(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3))),sK7(sK2,sK3),tptp0)
| ~ subactivity_occurrence(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ arboreal(sK6(sK2,sK3))
| ~ occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),tptp0)
| ~ spl21_54
| ~ spl21_60 ),
inference(forward_subsumption_resolution,[],[f1465,f1152]) ).
fof(f1492,plain,
( min_precedes(sK6(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3))),sK7(sK2,sK3),tptp0)
| ~ subactivity_occurrence(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),tptp0)
| ~ spl21_41
| ~ spl21_54
| ~ spl21_60 ),
inference(forward_subsumption_resolution,[],[f1487,f966]) ).
fof(f1497,plain,
( min_precedes(sK6(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3))),sK7(sK2,sK3),tptp0)
| ~ subactivity_occurrence(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ spl21_29
| ~ spl21_41
| ~ spl21_54
| ~ spl21_60 ),
inference(forward_subsumption_resolution,[],[f1492,f795]) ).
fof(f1500,definition,
( spl21_61
<=> subactivity_occurrence(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl21_61])],[avatar_definition]) ).
fof(f1501,plain,
( subactivity_occurrence(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ spl21_61 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f1502,plain,
( ~ subactivity_occurrence(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| spl21_61 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f1518,definition,
( spl21_65
<=> min_precedes(sK6(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3))),sK7(sK2,sK3),tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_65])],[avatar_definition]) ).
fof(f1520,plain,
( min_precedes(sK6(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3))),sK7(sK2,sK3),tptp0)
| ~ spl21_65 ),
inference(avatar_component_clause,[],[f1518]) ).
fof(f1521,plain,
( ~ spl21_61
| spl21_65
| ~ spl21_29
| ~ spl21_41
| ~ spl21_54
| ~ spl21_60 ),
inference(avatar_split_clause,[],[f1497,f1458,f1125,f965,f793,f1518,f1500]) ).
fof(f1821,plain,
( ~ min_precedes(sK6(sK2,sK3),sK7(sK2,sK3),tptp0)
| spl21_61 ),
inference(resolution,[],[f1502,f153]) ).
fof(f1822,plain,
( $false
| ~ spl21_54
| spl21_61 ),
inference(forward_subsumption_resolution,[],[f1821,f1126]) ).
fof(f1823,plain,
( ~ spl21_54
| spl21_61 ),
inference(avatar_contradiction_clause,[],[f1822]) ).
fof(f2864,plain,
( atomic(tptp0)
| ~ min_precedes(sK6(sK2,sK3),sK7(sK2,sK3),tptp0)
| ~ spl21_45 ),
inference(resolution,[],[f1004,f154]) ).
fof(f2872,plain,
( ~ min_precedes(sK6(sK2,sK3),sK7(sK2,sK3),tptp0)
| ~ spl21_45 ),
inference(forward_subsumption_resolution,[],[f2864,f138]) ).
fof(f2874,plain,
( $false
| ~ spl21_45
| ~ spl21_54 ),
inference(forward_subsumption_resolution,[],[f2872,f1126]) ).
fof(f2875,plain,
( ~ spl21_45
| ~ spl21_54 ),
inference(avatar_contradiction_clause,[],[f2874]) ).
fof(f2887,plain,
( ~ arboreal(sK2)
| leaf_occ(sK2,sK3)
| ~ occurrence_of(sK3,tptp0)
| ~ occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),tptp0)
| ~ subactivity_occurrence(sK2,sK3)
| ~ spl21_59 ),
inference(resolution,[],[f1456,f224]) ).
fof(f2904,plain,
( ~ arboreal(sK2)
| ~ occurrence_of(sK3,tptp0)
| ~ occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),tptp0)
| ~ subactivity_occurrence(sK2,sK3)
| ~ spl21_59 ),
inference(forward_subsumption_resolution,[],[f2887,f223]) ).
fof(f2905,plain,
( ~ occurrence_of(sK3,tptp0)
| ~ occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),tptp0)
| ~ subactivity_occurrence(sK2,sK3)
| ~ spl21_59 ),
inference(forward_subsumption_resolution,[],[f2904,f129]) ).
fof(f2906,plain,
( ~ occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),tptp0)
| ~ subactivity_occurrence(sK2,sK3)
| ~ spl21_59 ),
inference(forward_subsumption_resolution,[],[f2905,f131]) ).
fof(f2907,plain,
( ~ subactivity_occurrence(sK2,sK3)
| ~ spl21_29
| ~ spl21_59 ),
inference(forward_subsumption_resolution,[],[f2906,f795]) ).
fof(f2908,plain,
( $false
| ~ spl21_29
| ~ spl21_59 ),
inference(forward_subsumption_resolution,[],[f2907,f130]) ).
fof(f2909,plain,
( ~ spl21_29
| ~ spl21_59 ),
inference(avatar_contradiction_clause,[],[f2908]) ).
fof(f2958,plain,
( ~ occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),tptp0)
| ~ subactivity_occurrence(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ occurrence_of(sK3,tptp0)
| ~ subactivity_occurrence(sK2,sK3)
| ~ arboreal(sK2)
| leaf_occ(sK2,sK3)
| ~ spl21_65 ),
inference(resolution,[],[f1520,f412]) ).
fof(f2977,plain,
( ~ occurrence_of(sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)),tptp0)
| ~ subactivity_occurrence(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ occurrence_of(sK3,tptp0)
| ~ subactivity_occurrence(sK2,sK3)
| ~ arboreal(sK2)
| ~ spl21_65 ),
inference(forward_subsumption_resolution,[],[f2958,f223]) ).
fof(f2980,plain,
( ~ subactivity_occurrence(sK6(sK2,sK3),sK10(tptp0,sK6(sK2,sK3),sK7(sK2,sK3)))
| ~ occurrence_of(sK3,tptp0)
| ~ subactivity_occurrence(sK2,sK3)
| ~ arboreal(sK2)
| ~ spl21_29
| ~ spl21_65 ),
inference(forward_subsumption_resolution,[],[f2977,f795]) ).
fof(f2982,plain,
( ~ occurrence_of(sK3,tptp0)
| ~ subactivity_occurrence(sK2,sK3)
| ~ arboreal(sK2)
| ~ spl21_29
| ~ spl21_61
| ~ spl21_65 ),
inference(forward_subsumption_resolution,[],[f2980,f1501]) ).
fof(f2984,plain,
( ~ subactivity_occurrence(sK2,sK3)
| ~ arboreal(sK2)
| ~ spl21_29
| ~ spl21_61
| ~ spl21_65 ),
inference(forward_subsumption_resolution,[],[f2982,f131]) ).
fof(f2986,plain,
( ~ arboreal(sK2)
| ~ spl21_29
| ~ spl21_61
| ~ spl21_65 ),
inference(forward_subsumption_resolution,[],[f2984,f130]) ).
fof(f2987,plain,
( $false
| ~ spl21_29
| ~ spl21_61
| ~ spl21_65 ),
inference(forward_subsumption_resolution,[],[f2986,f129]) ).
fof(f2988,plain,
( ~ spl21_29
| ~ spl21_61
| ~ spl21_65 ),
inference(avatar_contradiction_clause,[],[f2987]) ).
cnf(s4,plain,
( ~ spl21_3
| spl21_5 ),
inference(sat_conversion,[],[f365]) ).
cnf(s5,plain,
spl21_3,
inference(sat_conversion,[],[f371]) ).
cnf(s27,plain,
( ~ spl21_5
| spl21_29
| ~ spl21_35 ),
inference(sat_conversion,[],[f925]) ).
cnf(s31,plain,
( ~ spl21_5
| spl21_35 ),
inference(sat_conversion,[],[f982]) ).
cnf(s33,plain,
( ~ spl21_35
| spl21_44
| spl21_45 ),
inference(sat_conversion,[],[f1005]) ).
cnf(s44,plain,
spl21_54,
inference(sat_conversion,[],[f1146]) ).
cnf(s46,plain,
( spl21_41
| ~ spl21_54 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s56,plain,
( ~ spl21_29
| ~ spl21_44
| ~ spl21_54
| spl21_59
| spl21_60 ),
inference(sat_conversion,[],[f1461]) ).
cnf(s60,plain,
( ~ spl21_29
| ~ spl21_41
| ~ spl21_54
| ~ spl21_60
| ~ spl21_61
| spl21_65 ),
inference(sat_conversion,[],[f1521]) ).
cnf(s73,plain,
( ~ spl21_54
| spl21_61 ),
inference(sat_conversion,[],[f1823]) ).
cnf(s106,plain,
( ~ spl21_45
| ~ spl21_54 ),
inference(sat_conversion,[],[f2875]) ).
cnf(s112,plain,
( ~ spl21_29
| ~ spl21_59 ),
inference(sat_conversion,[],[f2909]) ).
cnf(s113,plain,
( ~ spl21_29
| ~ spl21_61
| ~ spl21_65 ),
inference(sat_conversion,[],[f2988]) ).
cnf(s117,plain,
~ spl21_45,
inference(rat,[],[s106,s44]) ).
cnf(s118,plain,
spl21_61,
inference(rat,[],[s73,s44]) ).
cnf(s119,plain,
spl21_41,
inference(rat,[],[s46,s44]) ).
cnf(s123,plain,
( ~ spl21_35
| spl21_44 ),
inference(rat,[],[s33,s117]) ).
cnf(s130,plain,
spl21_5,
inference(rat,[],[s4,s5]) ).
cnf(s133,plain,
spl21_35,
inference(rat,[],[s31,s130]) ).
cnf(s134,plain,
spl21_29,
inference(rat,[],[s27,s133,s130]) ).
cnf(s138,plain,
spl21_44,
inference(rat,[],[s123,s133]) ).
cnf(s139,plain,
~ spl21_65,
inference(rat,[],[s113,s118,s134]) ).
cnf(s140,plain,
~ spl21_59,
inference(rat,[],[s112,s134]) ).
cnf(s143,plain,
~ spl21_60,
inference(rat,[],[s60,s139,s118,s119,s44,s134]) ).
cnf(s144,plain,
$false,
inference(rat,[],[s56,s143,s140,s44,s138,s134]) ).
fof(f2989,plain,
$false,
inference(avatar_sat_refutation,[],[s144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO016+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:22:37 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.16/2.09 % (3940444)Detected formulas, will run a generic FOF schedule.
% 10.16/2.09 % (3940454)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1928879146:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.16/2.09 % (3940455)dis-21_1_sil=8000:lcm=predicate:random_seed=2496696808: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)
% 10.16/2.09 % (3940452)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1312125935:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.16/2.09 % (3940449)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=2419513956:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.16/2.09 % (3940453)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3604636803:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.16/2.09 % (3940451)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=1093992190:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.16/2.09 % (3940450)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=1952898601:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.16/2.09 % (3940452)Instruction limit reached!
% 10.16/2.09 % (3940452)------------------------------
% 10.16/2.09 % (3940452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.09 % (3940452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.09 % (3940452)CaDiCaL version: 2.1.3
% 10.16/2.09 % (3940452)Termination reason: Instruction limit
% 10.16/2.09 % (3940452)Termination phase: Saturation
% 10.16/2.09 % (3940452)Time elapsed: 0.054 s
% 10.16/2.09 % (3940452)Peak memory usage: 88 MB
% 10.16/2.09 % (3940452)Instructions burned: 109 (million)
% 10.16/2.09 % (3940453)Instruction limit reached!
% 10.16/2.09 % (3940453)------------------------------
% 10.16/2.09 % (3940453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.09 % (3940453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.09 % (3940453)CaDiCaL version: 2.1.3
% 10.16/2.09 % (3940453)Termination reason: Instruction limit
% 10.16/2.09 % (3940453)Termination phase: Saturation
% 10.16/2.09 % (3940453)Time elapsed: 0.071 s
% 10.16/2.09 % (3940453)Peak memory usage: 88 MB
% 10.16/2.09 % (3940453)Instructions burned: 119 (million)
% 10.16/2.09 % (3940455)Instruction limit reached!
% 10.16/2.09 % (3940455)------------------------------
% 10.16/2.09 % (3940455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.09 % (3940455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.09 % (3940455)CaDiCaL version: 2.1.3
% 10.16/2.09 % (3940455)Termination reason: Instruction limit
% 10.16/2.09 % (3940455)Termination phase: Saturation
% 10.16/2.09 % (3940455)Time elapsed: 0.074 s
% 10.16/2.09 % (3940455)Peak memory usage: 89 MB
% 10.16/2.09 % (3940455)Instructions burned: 130 (million)
% 10.16/2.09 % (3940454)Instruction limit reached!
% 10.16/2.09 % (3940454)------------------------------
% 10.16/2.09 % (3940454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.09 % (3940454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.09 % (3940454)CaDiCaL version: 2.1.3
% 10.16/2.09 % (3940454)Termination reason: Instruction limit
% 10.16/2.09 % (3940454)Termination phase: Saturation
% 10.16/2.09 % (3940454)Time elapsed: 0.097 s
% 10.16/2.09 % (3940454)Peak memory usage: 90 MB
% 10.16/2.09 % (3940454)Instructions burned: 140 (million)
% 10.16/2.09 % (3940463)lrs+10_1_sil=8000:sp=occurrence:random_seed=120942187:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.16/2.09 % (3940466)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=4231271341:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.16/2.09 % (3940465)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2322037179:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.16/2.09 % (3940464)lrs+10_1_sil=32000:urr=on:br=off:random_seed=665147425:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.16/2.09 % (3940466)Instruction limit reached!
% 14.02/2.68 % (3940466)------------------------------
% 14.02/2.68 % (3940466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940466)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940466)Termination reason: Instruction limit
% 14.02/2.68 % (3940466)Termination phase: Saturation
% 14.02/2.68 % (3940466)Time elapsed: 0.079 s
% 14.02/2.68 % (3940466)Peak memory usage: 90 MB
% 14.02/2.68 % (3940466)Instructions burned: 251 (million)
% 14.02/2.68 % (3940464)Instruction limit reached!
% 14.02/2.68 % (3940464)------------------------------
% 14.02/2.68 % (3940464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940464)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940464)Termination reason: Instruction limit
% 14.02/2.68 % (3940464)Termination phase: Saturation
% 14.02/2.68 % (3940464)Time elapsed: 0.085 s
% 14.02/2.68 % (3940464)Peak memory usage: 89 MB
% 14.02/2.68 % (3940464)Instructions burned: 157 (million)
% 14.02/2.68 % (3940463)Instruction limit reached!
% 14.02/2.68 % (3940463)------------------------------
% 14.02/2.68 % (3940463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940463)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940463)Termination reason: Instruction limit
% 14.02/2.68 % (3940463)Termination phase: Saturation
% 14.02/2.68 % (3940463)Time elapsed: 0.163 s
% 14.02/2.68 % (3940463)Peak memory usage: 90 MB
% 14.02/2.68 % (3940463)Instructions burned: 287 (million)
% 14.02/2.68 % (3940471)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2017441320:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 14.02/2.68 % (3940472)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1741075198:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 14.02/2.68 % (3940465)Instruction limit reached!
% 14.02/2.68 % (3940465)------------------------------
% 14.02/2.68 % (3940465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940465)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940465)Termination reason: Instruction limit
% 14.02/2.68 % (3940465)Termination phase: Saturation
% 14.02/2.68 % (3940465)Time elapsed: 0.220 s
% 14.02/2.68 % (3940465)Peak memory usage: 92 MB
% 14.02/2.68 % (3940465)Instructions burned: 326 (million)
% 14.02/2.68 % (3940471)Instruction limit reached!
% 14.02/2.68 % (3940471)------------------------------
% 14.02/2.68 % (3940471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940471)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940471)Termination reason: Instruction limit
% 14.02/2.68 % (3940471)Termination phase: Saturation
% 14.02/2.68 % (3940471)Time elapsed: 0.084 s
% 14.02/2.68 % (3940471)Peak memory usage: 88 MB
% 14.02/2.68 % (3940471)Instructions burned: 297 (million)
% 14.02/2.68 % (3940473)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4213258621:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 14.02/2.68 % (3940477)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1578381569:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 14.02/2.68 % (3940476)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4231884863:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 14.02/2.68 % (3940473)Instruction limit reached!
% 14.02/2.68 % (3940473)------------------------------
% 14.02/2.68 % (3940473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940473)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940473)Termination reason: Instruction limit
% 14.02/2.68 % (3940473)Termination phase: Saturation
% 14.02/2.68 % (3940473)Time elapsed: 0.081 s
% 14.02/2.68 % (3940473)Peak memory usage: 90 MB
% 14.02/2.68 % (3940473)Instructions burned: 114 (million)
% 14.02/2.68 % (3940477)Instruction limit reached!
% 14.02/2.68 % (3940477)------------------------------
% 14.02/2.68 % (3940477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940477)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940477)Termination reason: Instruction limit
% 14.02/2.68 % (3940477)Termination phase: Saturation
% 14.02/2.68 % (3940477)Time elapsed: 0.039 s
% 14.02/2.68 % (3940477)Peak memory usage: 89 MB
% 14.02/2.68 % (3940477)Instructions burned: 116 (million)
% 14.02/2.68 % (3940476)Instruction limit reached!
% 14.02/2.68 % (3940476)------------------------------
% 14.02/2.68 % (3940476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940476)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940476)Termination reason: Instruction limit
% 14.02/2.68 % (3940476)Termination phase: Saturation
% 14.02/2.68 % (3940476)Time elapsed: 0.067 s
% 14.02/2.68 % (3940476)Peak memory usage: 89 MB
% 14.02/2.68 % (3940476)Instructions burned: 127 (million)
% 14.02/2.68 % (3940482)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3455088412:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 14.02/2.68 % (3940481)lrs+10_1_sil=8000:sp=occurrence:random_seed=214724746:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 14.02/2.68 % (3940483)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3769355506:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 14.02/2.68 % (3940482)Instruction limit reached!
% 14.02/2.68 % (3940482)------------------------------
% 14.02/2.68 % (3940482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940482)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940482)Termination reason: Instruction limit
% 14.02/2.68 % (3940482)Termination phase: Saturation
% 14.02/2.68 % (3940482)Time elapsed: 0.116 s
% 14.02/2.68 % (3940482)Peak memory usage: 89 MB
% 14.02/2.68 % (3940482)Instructions burned: 437 (million)
% 14.02/2.68 % (3940487)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2913413775:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 14.02/2.68 % (3940487)Instruction limit reached!
% 14.02/2.68 % (3940487)------------------------------
% 14.02/2.68 % (3940487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940487)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940487)Termination reason: Instruction limit
% 14.02/2.68 % (3940487)Termination phase: Saturation
% 14.02/2.68 % (3940487)Time elapsed: 0.044 s
% 14.02/2.68 % (3940487)Peak memory usage: 90 MB
% 14.02/2.68 % (3940487)Instructions burned: 136 (million)
% 14.02/2.68 % (3940489)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1898310540:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 14.02/2.68 % (3940489)Instruction limit reached!
% 14.02/2.68 % (3940489)------------------------------
% 14.02/2.68 % (3940489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940489)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940489)Termination reason: Instruction limit
% 14.02/2.68 % (3940489)Termination phase: Saturation
% 14.02/2.68 % (3940489)Time elapsed: 0.145 s
% 14.02/2.68 % (3940489)Peak memory usage: 91 MB
% 14.02/2.68 % (3940489)Instructions burned: 595 (million)
% 14.02/2.68 % (3940481)Instruction limit reached!
% 14.02/2.68 % (3940481)------------------------------
% 14.02/2.68 % (3940481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940481)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940481)Termination reason: Instruction limit
% 14.02/2.68 % (3940481)Termination phase: Saturation
% 14.02/2.68 % (3940481)Time elapsed: 0.517 s
% 14.02/2.68 % (3940481)Peak memory usage: 94 MB
% 14.02/2.68 % (3940481)Instructions burned: 908 (million)
% 14.02/2.68 % (3940491)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3857104816:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 14.02/2.68 % (3940492)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=3729712003:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 14.02/2.68 % (3940492)Instruction limit reached!
% 14.02/2.68 % (3940492)------------------------------
% 14.02/2.68 % (3940492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940492)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940492)Termination reason: Instruction limit
% 14.02/2.68 % (3940492)Termination phase: Saturation
% 14.02/2.68 % (3940492)Time elapsed: 0.096 s
% 14.02/2.68 % (3940492)Peak memory usage: 90 MB
% 14.02/2.68 % (3940492)Instructions burned: 126 (million)
% 14.02/2.68 % (3940495)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3750263339:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 14.02/2.68 % (3940495)Instruction limit reached!
% 14.02/2.68 % (3940495)------------------------------
% 14.02/2.68 % (3940495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940495)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940495)Termination reason: Instruction limit
% 14.02/2.68 % (3940495)Termination phase: Saturation
% 14.02/2.68 % (3940495)Time elapsed: 0.087 s
% 14.02/2.68 % (3940495)Peak memory usage: 90 MB
% 14.02/2.68 % (3940495)Instructions burned: 135 (million)
% 14.02/2.68 % (3940491)First to succeed.
% 14.02/2.68 % (3940491)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3940444"
% 14.02/2.68 % (3940497)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1970338532:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 14.02/2.68 % (3940497)Instruction limit reached!
% 14.02/2.68 % (3940497)------------------------------
% 14.02/2.68 % (3940497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.02/2.68 % (3940497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.68 % (3940497)CaDiCaL version: 2.1.3
% 14.02/2.68 % (3940497)Termination reason: Instruction limit
% 14.02/2.68 % (3940497)Termination phase: Saturation
% 14.02/2.68 % (3940497)Time elapsed: 0.073 s
% 14.02/2.68 % (3940497)Peak memory usage: 89 MB
% 14.02/2.68 % (3940497)Instructions burned: 141 (million)
% 14.02/2.68 % (3940491)Refutation found. Thanks to Tanya!
% 14.02/2.68 % SZS status Theorem for theBenchmark
% 14.02/2.68 % SZS output start Proof for theBenchmark
% See solution above
% 14.93/2.87 % (3940491)------------------------------
% 14.93/2.87 % (3940491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.93/2.87 % (3940491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.93/2.87 % (3940491)CaDiCaL version: 2.1.3
% 14.93/2.87 % (3940491)Termination reason: Refutation
% 14.93/2.87 % (3940491)Time elapsed: 0.543 s
% 14.93/2.87 % (3940491)Peak memory usage: 133 MB
% 14.93/2.87 % (3940491)Instructions burned: 1416 (million)
% 14.93/2.87 % (3940491)------------------------------
% 14.93/2.87 % (3940491)------------------------------
% 14.93/2.87 % (3940444)Success in time 2.059 s
% 14.93/2.87 % Vampire exiting
%------------------------------------------------------------------------------