%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO008+1 : 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 : n007.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 12:30:23 PM UTC 2026
% Result : Theorem 6.33s 1.84s
% Output : Refutation 7.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 58
% Syntax : Number of formulae : 415 ( 58 unt; 34 def)
% Number of atoms : 1397 ( 62 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1709 ( 727 ~; 790 |; 134 &)
% ( 41 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 49 ( 47 usr; 34 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 355 ( 0 sgn 312 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f2,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f8,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f9,axiom,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f15,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(f17,axiom,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
fof(f22,axiom,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ~ ? [X3] : min_precedes(X0,X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(f23,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_22) ).
fof(f25,axiom,
! [X0,X1] :
( subactivity_occurrence(X0,X1)
=> ( activity_occurrence(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
fof(f29,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X1,X0)
& arboreal(X2)
& arboreal(X3)
& subactivity_occurrence(X2,X1)
& subactivity_occurrence(X3,X1) )
=> ( min_precedes(X2,X3,X0)
| min_precedes(X3,X2,X0)
| X2 = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
fof(f30,axiom,
! [X0,X1,X2,X3] :
( ( min_precedes(X0,X1,X2)
& occurrence_of(X3,X2)
& subactivity_occurrence(X1,X3) )
=> subactivity_occurrence(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(f34,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
fof(f35,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_34) ).
fof(f36,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2,X3] :
( occurrence_of(X1,tptp3)
& root_occ(X1,X0)
& occurrence_of(X2,tptp4)
& next_subocc(X1,X2,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& next_subocc(X2,X3,tptp0)
& leaf_occ(X3,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(f39,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(f40,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).
fof(f41,axiom,
atomic(tptp2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_40) ).
fof(f44,axiom,
tptp4 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).
fof(f45,axiom,
tptp4 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_44) ).
fof(f46,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
fof(f47,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).
fof(f48,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_47) ).
fof(f49,conjecture,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( occurrence_of(X1,tptp3)
& root_occ(X1,X0)
& ( occurrence_of(X2,tptp1)
| occurrence_of(X2,tptp2) )
& min_precedes(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp1)
=> ~ ? [X3] :
( occurrence_of(X3,tptp2)
& subactivity_occurrence(X3,X0)
& min_precedes(X1,X3,tptp0) ) )
& ( occurrence_of(X2,tptp2)
=> ~ ? [X4] :
( occurrence_of(X4,tptp1)
& subactivity_occurrence(X4,X0)
& min_precedes(X1,X4,tptp0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f50,negated_conjecture,
~ ! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( occurrence_of(X1,tptp3)
& root_occ(X1,X0)
& ( occurrence_of(X2,tptp1)
| occurrence_of(X2,tptp2) )
& min_precedes(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp1)
=> ~ ? [X3] :
( occurrence_of(X3,tptp2)
& subactivity_occurrence(X3,X0)
& min_precedes(X1,X3,tptp0) ) )
& ( occurrence_of(X2,tptp2)
=> ~ ? [X4] :
( occurrence_of(X4,tptp1)
& subactivity_occurrence(X4,X0)
& min_precedes(X1,X4,tptp0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( ( activity(X0)
& activity_occurrence(X1) )
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f52,plain,
! [X0] :
( ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) )
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f53,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f54,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f53]) ).
fof(f61,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f62,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f70,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f78,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f79,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,[],[f23]) ).
fof(f80,plain,
! [X0,X1] :
( ( activity_occurrence(X0)
& activity_occurrence(X1) )
| ~ subactivity_occurrence(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( min_precedes(X2,X3,X0)
| min_precedes(X3,X2,X0)
| X2 = X3
| ~ occurrence_of(X1,X0)
| ~ arboreal(X2)
| ~ arboreal(X3)
| ~ subactivity_occurrence(X2,X1)
| ~ subactivity_occurrence(X3,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( min_precedes(X2,X3,X0)
| min_precedes(X3,X2,X0)
| X2 = X3
| ~ occurrence_of(X1,X0)
| ~ arboreal(X2)
| ~ arboreal(X3)
| ~ subactivity_occurrence(X2,X1)
| ~ subactivity_occurrence(X3,X1) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ min_precedes(X0,X1,X2)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(ennf_transformation,[],[f30]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ min_precedes(X0,X1,X2)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(flattening,[],[f88]) ).
fof(f96,plain,
! [X0] :
( ? [X1,X2,X3] :
( occurrence_of(X1,tptp3)
& root_occ(X1,X0)
& occurrence_of(X2,tptp4)
& next_subocc(X1,X2,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& next_subocc(X2,X3,tptp0)
& leaf_occ(X3,X0) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f97,plain,
? [X0] :
( ! [X1,X2] :
( ~ occurrence_of(X1,tptp3)
| ~ root_occ(X1,X0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ min_precedes(X1,X2,tptp0)
| ~ leaf_occ(X2,X0)
| ( ? [X3] :
( occurrence_of(X3,tptp2)
& subactivity_occurrence(X3,X0)
& min_precedes(X1,X3,tptp0) )
& occurrence_of(X2,tptp1) )
| ( ? [X4] :
( occurrence_of(X4,tptp1)
& subactivity_occurrence(X4,X0)
& min_precedes(X1,X4,tptp0) )
& occurrence_of(X2,tptp2) ) )
& occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f98,definition,
! [X0,X1,X2] :
( ( ? [X4] :
( occurrence_of(X4,tptp1)
& subactivity_occurrence(X4,X0)
& min_precedes(X1,X4,tptp0) )
& occurrence_of(X2,tptp2) )
| ~ sP0(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f99,plain,
? [X0] :
( ! [X1,X2] :
( ~ occurrence_of(X1,tptp3)
| ~ root_occ(X1,X0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ min_precedes(X1,X2,tptp0)
| ~ leaf_occ(X2,X0)
| ( ? [X3] :
( occurrence_of(X3,tptp2)
& subactivity_occurrence(X3,X0)
& min_precedes(X1,X3,tptp0) )
& occurrence_of(X2,tptp1) )
| sP0(X0,X1,X2) )
& occurrence_of(X0,tptp0) ),
inference(definition_folding,[],[f97,f98]) ).
fof(f100,plain,
! [X0] :
( ( activity(sK1(X0))
& occurrence_of(X0,sK1(X0)) )
| ~ activity_occurrence(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f52]) ).
fof(f101,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f61]) ).
fof(f107,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) )
| ~ leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f108,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) )
| ~ leaf(X0,X1) ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X4] : min_precedes(X4,X0,X1) )
& ! [X5] : ~ min_precedes(X0,X5,X1) )
| ~ leaf(X0,X1) ) ),
inference(rectify,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| min_precedes(X0,sK6(X0,X1),X1) )
& ( ( ( root(X0,X1)
| min_precedes(sK7(X0,X1),X0,X1) )
& ! [X5] : ~ min_precedes(X0,X5,X1) )
| ~ leaf(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X3,sK6(X0,X1)),skolemize(X4,sK7(X0,X1))],[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)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f112,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,[],[f111]) ).
fof(f113,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,[],[f112]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ( min_precedes(X0,sK8(X0,X1,X2),X2)
& min_precedes(sK8(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,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f113]) ).
fof(f122,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) )
| ~ root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f123,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ? [X3] :
( occurrence_of(X1,X3)
& subactivity_occurrence(X0,X1)
& root(X0,X3) )
| ~ root_occ(X0,X1) ) ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ( occurrence_of(X1,sK14(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK14(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X0,X1))],[f123]) ).
fof(f125,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,[],[f35]) ).
fof(f126,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,[],[f125]) ).
fof(f127,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ( occurrence_of(X1,sK15(X0,X1))
& subactivity_occurrence(X0,X1)
& leaf(X0,sK15(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X3,sK15(X0,X1))],[f126]) ).
fof(f128,plain,
! [X0] :
( ( occurrence_of(sK16(X0),tptp3)
& root_occ(sK16(X0),X0)
& occurrence_of(sK17(X0),tptp4)
& next_subocc(sK16(X0),sK17(X0),tptp0)
& ( occurrence_of(sK18(X0),tptp1)
| occurrence_of(sK18(X0),tptp2) )
& next_subocc(sK17(X0),sK18(X0),tptp0)
& leaf_occ(sK18(X0),X0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18]),skolemize(X1,sK16(X0)),skolemize(X2,sK17(X0)),skolemize(X3,sK18(X0))],[f96]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ( ? [X4] :
( occurrence_of(X4,tptp1)
& subactivity_occurrence(X4,X0)
& min_precedes(X1,X4,tptp0) )
& occurrence_of(X2,tptp2) )
| ~ sP0(X0,X1,X2) ),
inference(nnf_transformation,[],[f98]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( occurrence_of(X3,tptp1)
& subactivity_occurrence(X3,X0)
& min_precedes(X1,X3,tptp0) )
& occurrence_of(X2,tptp2) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f129]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK19(X0,X1),tptp1)
& subactivity_occurrence(sK19(X0,X1),X0)
& min_precedes(X1,sK19(X0,X1),tptp0)
& occurrence_of(X2,tptp2) )
| ~ sP0(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X3,sK19(X0,X1))],[f130]) ).
fof(f132,plain,
( ! [X1,X2] :
( ~ occurrence_of(X1,tptp3)
| ~ root_occ(X1,sK20)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ min_precedes(X1,X2,tptp0)
| ~ leaf_occ(X2,sK20)
| ( occurrence_of(sK21(X1),tptp2)
& subactivity_occurrence(sK21(X1),sK20)
& min_precedes(X1,sK21(X1),tptp0)
& occurrence_of(X2,tptp1) )
| sP0(sK20,X1,X2) )
& occurrence_of(sK20,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21]),skolemize(X0,sK20),skolemize(X3,sK21(X1))],[f99]) ).
fof(f133,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f135,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f54]) ).
fof(f143,plain,
! [X0,X1] :
( ~ atomic(X1)
| arboreal(X0)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f144,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f159,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f164,plain,
! [X0,X1,X5] :
( ~ min_precedes(X0,X5,X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f168,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f177,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| activity_occurrence(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( ~ arboreal(X3)
| min_precedes(X3,X2,X0)
| X2 = X3
| ~ occurrence_of(X1,X0)
| ~ arboreal(X2)
| min_precedes(X2,X3,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ subactivity_occurrence(X3,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f186,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| subactivity_occurrence(X0,X3)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(cnf_transformation,[],[f89]) ).
fof(f191,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK14(X0,X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f192,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f193,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK14(X0,X1)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ root(X0,X2)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f195,plain,
! [X0,X1] :
( leaf(X0,sK15(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f196,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f197,plain,
! [X0,X1] :
( occurrence_of(X1,sK15(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f199,plain,
! [X0] :
( leaf_occ(sK18(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f200,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK17(X0),sK18(X0),tptp0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f201,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK18(X0),tptp2)
| occurrence_of(sK18(X0),tptp1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f202,plain,
! [X0] :
( next_subocc(sK16(X0),sK17(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f203,plain,
! [X0] :
( occurrence_of(sK17(X0),tptp4)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f204,plain,
! [X0] :
( root_occ(sK16(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f205,plain,
! [X0] :
( occurrence_of(sK16(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f208,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f39]) ).
fof(f209,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f40]) ).
fof(f210,plain,
atomic(tptp2),
inference(cnf_transformation,[],[f41]) ).
fof(f213,plain,
tptp4 != tptp1,
inference(cnf_transformation,[],[f44]) ).
fof(f214,plain,
tptp4 != tptp2,
inference(cnf_transformation,[],[f45]) ).
fof(f215,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f46]) ).
fof(f216,plain,
tptp3 != tptp2,
inference(cnf_transformation,[],[f47]) ).
fof(f217,plain,
tptp1 != tptp2,
inference(cnf_transformation,[],[f48]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| occurrence_of(X2,tptp2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| min_precedes(X1,sK19(X0,X1),tptp0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| subactivity_occurrence(sK19(X0,X1),X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| occurrence_of(sK19(X0,X1),tptp1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f222,plain,
occurrence_of(sK20,tptp0),
inference(cnf_transformation,[],[f132]) ).
fof(f223,plain,
! [X2,X1] :
( ~ occurrence_of(X2,tptp2)
| ~ root_occ(X1,sK20)
| ~ occurrence_of(X1,tptp3)
| ~ min_precedes(X1,X2,tptp0)
| ~ leaf_occ(X2,sK20)
| occurrence_of(X2,tptp1)
| sP0(sK20,X1,X2) ),
inference(cnf_transformation,[],[f132]) ).
fof(f228,plain,
! [X2,X1] :
( ~ occurrence_of(X2,tptp1)
| ~ root_occ(X1,sK20)
| ~ occurrence_of(X1,tptp3)
| ~ min_precedes(X1,X2,tptp0)
| ~ leaf_occ(X2,sK20)
| min_precedes(X1,sK21(X1),tptp0)
| sP0(sK20,X1,X2) ),
inference(cnf_transformation,[],[f132]) ).
fof(f229,plain,
! [X2,X1] :
( ~ occurrence_of(X2,tptp1)
| ~ root_occ(X1,sK20)
| ~ occurrence_of(X1,tptp3)
| ~ min_precedes(X1,X2,tptp0)
| ~ leaf_occ(X2,sK20)
| subactivity_occurrence(sK21(X1),sK20)
| sP0(sK20,X1,X2) ),
inference(cnf_transformation,[],[f132]) ).
fof(f230,plain,
! [X2,X1] :
( ~ occurrence_of(X2,tptp1)
| ~ root_occ(X1,sK20)
| ~ occurrence_of(X1,tptp3)
| ~ min_precedes(X1,X2,tptp0)
| ~ leaf_occ(X2,sK20)
| occurrence_of(sK21(X1),tptp2)
| sP0(sK20,X1,X2) ),
inference(cnf_transformation,[],[f132]) ).
fof(f231,plain,
! [X0] :
( subactivity_occurrence(sK18(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f196,f199]) ).
fof(f232,plain,
! [X0] :
( subactivity_occurrence(sK16(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f192,f204]) ).
fof(f233,plain,
! [X0] :
( ~ occurrence_of(sK20,X0)
| tptp0 = X0 ),
inference(resolution,[],[f137,f222]) ).
fof(f236,plain,
! [X0] :
( ~ leaf_occ(X0,sK20)
| tptp0 = sK15(X0,sK20) ),
inference(resolution,[],[f233,f197]) ).
fof(f237,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(X0,sK14(sK16(X0),X0)) ),
inference(resolution,[],[f193,f204]) ).
fof(f238,plain,
occurrence_of(sK20,sK14(sK16(sK20),sK20)),
inference(resolution,[],[f237,f222]) ).
fof(f239,plain,
tptp0 = sK14(sK16(sK20),sK20),
inference(resolution,[],[f238,f233]) ).
fof(f249,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root(sK16(X0),sK14(sK16(X0),X0)) ),
inference(resolution,[],[f191,f204]) ).
fof(f250,plain,
root(sK16(sK20),sK14(sK16(sK20),sK20)),
inference(resolution,[],[f249,f222]) ).
fof(f251,plain,
root(sK16(sK20),tptp0),
inference(forward_demodulation,[],[f250,f239]) ).
fof(f252,plain,
! [X0] : ~ min_precedes(X0,sK16(sK20),tptp0),
inference(resolution,[],[f251,f157]) ).
fof(f253,plain,
next_subocc(sK17(sK20),sK18(sK20),tptp0),
inference(resolution,[],[f200,f222]) ).
fof(f254,plain,
! [X0] :
( ~ min_precedes(sK17(sK20),X0,tptp0)
| ~ min_precedes(X0,sK18(sK20),tptp0) ),
inference(resolution,[],[f253,f168]) ).
fof(f255,plain,
min_precedes(sK17(sK20),sK18(sK20),tptp0),
inference(resolution,[],[f253,f169]) ).
fof(f267,plain,
! [X0,X1] :
( ~ min_precedes(X1,sK17(X0),tptp0)
| ~ occurrence_of(X0,tptp0)
| ~ min_precedes(sK16(X0),X1,tptp0) ),
inference(resolution,[],[f202,f168]) ).
fof(f271,plain,
! [X0] :
( subactivity_occurrence(sK17(sK20),X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK18(sK20),X0) ),
inference(resolution,[],[f186,f255]) ).
fof(f291,definition,
( spl22_3
<=> subactivity_occurrence(sK17(sK20),sK20) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f292,plain,
( subactivity_occurrence(sK17(sK20),sK20)
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f322,plain,
! [X0,X1] :
( ~ occurrence_of(sK17(X0),X1)
| ~ occurrence_of(X0,tptp0)
| tptp4 = X1 ),
inference(resolution,[],[f203,f137]) ).
fof(f323,plain,
! [X0] :
( ~ occurrence_of(X0,tptp1)
| arboreal(X0) ),
inference(resolution,[],[f209,f143]) ).
fof(f325,plain,
! [X0] :
( ~ occurrence_of(X0,tptp2)
| arboreal(X0) ),
inference(resolution,[],[f210,f143]) ).
fof(f352,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK16(sK20),X0)
| root_occ(sK16(sK20),X0) ),
inference(resolution,[],[f194,f251]) ).
fof(f354,plain,
( ~ subactivity_occurrence(sK16(sK20),sK20)
| root_occ(sK16(sK20),sK20) ),
inference(resolution,[],[f352,f222]) ).
fof(f356,definition,
( spl22_12
<=> root_occ(sK16(sK20),sK20) ),
introduced(definition,[new_symbols(definition,[spl22_12])],[avatar_definition]) ).
fof(f357,plain,
( root_occ(sK16(sK20),sK20)
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f359,definition,
( spl22_13
<=> subactivity_occurrence(sK16(sK20),sK20) ),
introduced(definition,[new_symbols(definition,[spl22_13])],[avatar_definition]) ).
fof(f360,plain,
( ~ subactivity_occurrence(sK16(sK20),sK20)
| spl22_13 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f361,plain,
( spl22_12
| ~ spl22_13 ),
inference(avatar_split_clause,[],[f354,f359,f356]) ).
fof(f370,plain,
( ~ occurrence_of(sK20,tptp0)
| spl22_13 ),
inference(resolution,[],[f360,f232]) ).
fof(f372,plain,
( $false
| spl22_13 ),
inference(forward_subsumption_resolution,[],[f370,f222]) ).
fof(f373,plain,
spl22_13,
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f376,plain,
( subactivity_occurrence(sK16(sK20),sK20)
| ~ spl22_12 ),
inference(resolution,[],[f357,f192]) ).
fof(f379,plain,
( activity_occurrence(sK16(sK20))
| ~ spl22_12 ),
inference(resolution,[],[f376,f177]) ).
fof(f408,plain,
! [X0] :
( ~ occurrence_of(X0,tptp4)
| arboreal(X0) ),
inference(resolution,[],[f208,f143]) ).
fof(f412,plain,
( tptp0 = sK15(sK18(sK20),sK20)
| ~ occurrence_of(sK20,tptp0) ),
inference(resolution,[],[f236,f199]) ).
fof(f413,plain,
tptp0 = sK15(sK18(sK20),sK20),
inference(forward_subsumption_resolution,[],[f412,f222]) ).
fof(f414,plain,
( leaf(sK18(sK20),tptp0)
| ~ leaf_occ(sK18(sK20),sK20) ),
inference(superposition,[],[f195,f413]) ).
fof(f417,definition,
( spl22_19
<=> leaf_occ(sK18(sK20),sK20) ),
introduced(definition,[new_symbols(definition,[spl22_19])],[avatar_definition]) ).
fof(f418,plain,
( ~ leaf_occ(sK18(sK20),sK20)
| spl22_19 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f420,definition,
( spl22_20
<=> leaf(sK18(sK20),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_20])],[avatar_definition]) ).
fof(f421,plain,
( leaf(sK18(sK20),tptp0)
| ~ spl22_20 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f422,plain,
( ~ spl22_19
| spl22_20 ),
inference(avatar_split_clause,[],[f414,f420,f417]) ).
fof(f424,plain,
( ~ occurrence_of(sK20,tptp0)
| spl22_19 ),
inference(resolution,[],[f418,f199]) ).
fof(f426,plain,
( $false
| spl22_19 ),
inference(forward_subsumption_resolution,[],[f424,f222]) ).
fof(f427,plain,
spl22_19,
inference(avatar_contradiction_clause,[],[f426]) ).
fof(f477,plain,
( occurrence_of(sK18(sK20),tptp2)
| occurrence_of(sK18(sK20),tptp1) ),
inference(resolution,[],[f201,f222]) ).
fof(f479,definition,
( spl22_26
<=> occurrence_of(sK18(sK20),tptp1) ),
introduced(definition,[new_symbols(definition,[spl22_26])],[avatar_definition]) ).
fof(f480,plain,
( occurrence_of(sK18(sK20),tptp1)
| ~ spl22_26 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f482,definition,
( spl22_27
<=> occurrence_of(sK18(sK20),tptp2) ),
introduced(definition,[new_symbols(definition,[spl22_27])],[avatar_definition]) ).
fof(f483,plain,
( occurrence_of(sK18(sK20),tptp2)
| ~ spl22_27 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f484,plain,
( spl22_26
| spl22_27 ),
inference(avatar_split_clause,[],[f477,f482,f479]) ).
fof(f492,plain,
( ! [X0] :
( ~ root_occ(X0,sK20)
| ~ occurrence_of(X0,tptp3)
| ~ min_precedes(X0,sK18(sK20),tptp0)
| ~ leaf_occ(sK18(sK20),sK20)
| min_precedes(X0,sK21(X0),tptp0)
| sP0(sK20,X0,sK18(sK20)) )
| ~ spl22_26 ),
inference(resolution,[],[f480,f228]) ).
fof(f493,plain,
( ! [X0] :
( ~ root_occ(X0,sK20)
| ~ occurrence_of(X0,tptp3)
| ~ min_precedes(X0,sK18(sK20),tptp0)
| ~ leaf_occ(sK18(sK20),sK20)
| occurrence_of(sK21(X0),tptp2)
| sP0(sK20,X0,sK18(sK20)) )
| ~ spl22_26 ),
inference(resolution,[],[f480,f230]) ).
fof(f494,plain,
( ! [X0] :
( ~ root_occ(X0,sK20)
| ~ occurrence_of(X0,tptp3)
| ~ min_precedes(X0,sK18(sK20),tptp0)
| ~ leaf_occ(sK18(sK20),sK20)
| subactivity_occurrence(sK21(X0),sK20)
| sP0(sK20,X0,sK18(sK20)) )
| ~ spl22_26 ),
inference(resolution,[],[f480,f229]) ).
fof(f499,definition,
( spl22_30
<=> ! [X0] :
( ~ root_occ(X0,sK20)
| sP0(sK20,X0,sK18(sK20))
| subactivity_occurrence(sK21(X0),sK20)
| ~ min_precedes(X0,sK18(sK20),tptp0)
| ~ occurrence_of(X0,tptp3) ) ),
introduced(definition,[new_symbols(definition,[spl22_30])],[avatar_definition]) ).
fof(f500,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp3)
| sP0(sK20,X0,sK18(sK20))
| subactivity_occurrence(sK21(X0),sK20)
| ~ min_precedes(X0,sK18(sK20),tptp0)
| ~ root_occ(X0,sK20) )
| ~ spl22_30 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f501,plain,
( ~ spl22_19
| spl22_30
| ~ spl22_26 ),
inference(avatar_split_clause,[],[f494,f479,f499,f417]) ).
fof(f503,definition,
( spl22_31
<=> ! [X0] :
( ~ root_occ(X0,sK20)
| sP0(sK20,X0,sK18(sK20))
| occurrence_of(sK21(X0),tptp2)
| ~ min_precedes(X0,sK18(sK20),tptp0)
| ~ occurrence_of(X0,tptp3) ) ),
introduced(definition,[new_symbols(definition,[spl22_31])],[avatar_definition]) ).
fof(f504,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp3)
| sP0(sK20,X0,sK18(sK20))
| occurrence_of(sK21(X0),tptp2)
| ~ min_precedes(X0,sK18(sK20),tptp0)
| ~ root_occ(X0,sK20) )
| ~ spl22_31 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f505,plain,
( ~ spl22_19
| spl22_31
| ~ spl22_26 ),
inference(avatar_split_clause,[],[f493,f479,f503,f417]) ).
fof(f507,definition,
( spl22_32
<=> ! [X0] :
( ~ root_occ(X0,sK20)
| sP0(sK20,X0,sK18(sK20))
| min_precedes(X0,sK21(X0),tptp0)
| ~ min_precedes(X0,sK18(sK20),tptp0)
| ~ occurrence_of(X0,tptp3) ) ),
introduced(definition,[new_symbols(definition,[spl22_32])],[avatar_definition]) ).
fof(f508,plain,
( ! [X0] :
( ~ min_precedes(X0,sK18(sK20),tptp0)
| sP0(sK20,X0,sK18(sK20))
| min_precedes(X0,sK21(X0),tptp0)
| ~ root_occ(X0,sK20)
| ~ occurrence_of(X0,tptp3) )
| ~ spl22_32 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f509,plain,
( ~ spl22_19
| spl22_32
| ~ spl22_26 ),
inference(avatar_split_clause,[],[f492,f479,f507,f417]) ).
fof(f513,plain,
( ! [X0] :
( ~ root_occ(X0,sK20)
| ~ occurrence_of(X0,tptp3)
| ~ min_precedes(X0,sK18(sK20),tptp0)
| ~ leaf_occ(sK18(sK20),sK20)
| occurrence_of(sK18(sK20),tptp1)
| sP0(sK20,X0,sK18(sK20)) )
| ~ spl22_27 ),
inference(resolution,[],[f483,f223]) ).
fof(f515,plain,
( activity_occurrence(sK18(sK20))
| ~ spl22_27 ),
inference(resolution,[],[f483,f133]) ).
fof(f516,plain,
( ! [X0] :
( ~ occurrence_of(sK18(sK20),X0)
| tptp2 = X0 )
| ~ spl22_27 ),
inference(resolution,[],[f483,f137]) ).
fof(f518,definition,
( spl22_33
<=> ! [X0] :
( ~ root_occ(X0,sK20)
| sP0(sK20,X0,sK18(sK20))
| ~ min_precedes(X0,sK18(sK20),tptp0)
| ~ occurrence_of(X0,tptp3) ) ),
introduced(definition,[new_symbols(definition,[spl22_33])],[avatar_definition]) ).
fof(f519,plain,
( ! [X0] :
( ~ min_precedes(X0,sK18(sK20),tptp0)
| sP0(sK20,X0,sK18(sK20))
| ~ root_occ(X0,sK20)
| ~ occurrence_of(X0,tptp3) )
| ~ spl22_33 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f520,plain,
( spl22_26
| ~ spl22_19
| spl22_33
| ~ spl22_27 ),
inference(avatar_split_clause,[],[f513,f482,f518,f417,f479]) ).
fof(f574,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK17(X0)) ),
inference(resolution,[],[f408,f203]) ).
fof(f576,plain,
legal(sK16(sK20)),
inference(resolution,[],[f159,f251]) ).
fof(f578,plain,
arboreal(sK16(sK20)),
inference(resolution,[],[f576,f144]) ).
fof(f580,plain,
! [X2,X0,X1] :
( ~ arboreal(X0)
| sK16(sK20) = X0
| ~ occurrence_of(X2,X1)
| min_precedes(sK16(sK20),X0,X1)
| min_precedes(X0,sK16(sK20),X1)
| ~ subactivity_occurrence(X0,X2)
| ~ subactivity_occurrence(sK16(sK20),X2) ),
inference(resolution,[],[f578,f185]) ).
fof(f585,plain,
( arboreal(sK18(sK20))
| ~ spl22_27 ),
inference(resolution,[],[f325,f483]) ).
fof(f586,plain,
( ! [X0,X1] :
( sK16(sK20) = sK18(sK20)
| ~ occurrence_of(X0,X1)
| min_precedes(sK16(sK20),sK18(sK20),X1)
| min_precedes(sK18(sK20),sK16(sK20),X1)
| ~ subactivity_occurrence(sK18(sK20),X0)
| ~ subactivity_occurrence(sK16(sK20),X0) )
| ~ spl22_27 ),
inference(resolution,[],[f585,f580]) ).
fof(f588,plain,
( ! [X2,X0,X1] :
( ~ arboreal(X0)
| sK18(sK20) = X0
| ~ occurrence_of(X2,X1)
| min_precedes(sK18(sK20),X0,X1)
| min_precedes(X0,sK18(sK20),X1)
| ~ subactivity_occurrence(X0,X2)
| ~ subactivity_occurrence(sK18(sK20),X2) )
| ~ spl22_27 ),
inference(resolution,[],[f585,f185]) ).
fof(f590,definition,
( spl22_40
<=> ! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ subactivity_occurrence(sK16(sK20),X0)
| ~ subactivity_occurrence(sK18(sK20),X0)
| min_precedes(sK18(sK20),sK16(sK20),X1)
| min_precedes(sK16(sK20),sK18(sK20),X1) ) ),
introduced(definition,[new_symbols(definition,[spl22_40])],[avatar_definition]) ).
fof(f591,plain,
( ! [X0,X1] :
( ~ subactivity_occurrence(sK18(sK20),X0)
| ~ subactivity_occurrence(sK16(sK20),X0)
| ~ occurrence_of(X0,X1)
| min_precedes(sK18(sK20),sK16(sK20),X1)
| min_precedes(sK16(sK20),sK18(sK20),X1) )
| ~ spl22_40 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f593,definition,
( spl22_41
<=> sK16(sK20) = sK18(sK20) ),
introduced(definition,[new_symbols(definition,[spl22_41])],[avatar_definition]) ).
fof(f594,plain,
( sK16(sK20) = sK18(sK20)
| ~ spl22_41 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f595,plain,
( spl22_40
| spl22_41
| ~ spl22_27 ),
inference(avatar_split_clause,[],[f586,f482,f593,f590]) ).
fof(f610,plain,
( occurrence_of(sK18(sK20),tptp3)
| ~ occurrence_of(sK20,tptp0)
| ~ spl22_41 ),
inference(superposition,[],[f205,f594]) ).
fof(f614,plain,
( occurrence_of(sK18(sK20),tptp3)
| ~ spl22_41 ),
inference(forward_subsumption_resolution,[],[f610,f222]) ).
fof(f618,plain,
( tptp3 = tptp2
| ~ spl22_27
| ~ spl22_41 ),
inference(resolution,[],[f614,f516]) ).
fof(f623,plain,
( $false
| ~ spl22_27
| ~ spl22_41 ),
inference(forward_subsumption_resolution,[],[f618,f216]) ).
fof(f624,plain,
( ~ spl22_27
| ~ spl22_41 ),
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f630,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK16(sK20),sK20)
| ~ occurrence_of(sK20,X0)
| min_precedes(sK18(sK20),sK16(sK20),X0)
| min_precedes(sK16(sK20),sK18(sK20),X0)
| ~ occurrence_of(sK20,tptp0) )
| ~ spl22_40 ),
inference(resolution,[],[f591,f231]) ).
fof(f633,plain,
( ! [X0] :
( ~ occurrence_of(sK20,X0)
| min_precedes(sK18(sK20),sK16(sK20),X0)
| min_precedes(sK16(sK20),sK18(sK20),X0)
| ~ occurrence_of(sK20,tptp0) )
| ~ spl22_40 ),
inference(forward_subsumption_resolution,[],[f630,f232]) ).
fof(f634,plain,
( ! [X0] :
( ~ occurrence_of(sK20,X0)
| min_precedes(sK18(sK20),sK16(sK20),X0)
| min_precedes(sK16(sK20),sK18(sK20),X0) )
| ~ spl22_40 ),
inference(forward_subsumption_resolution,[],[f633,f222]) ).
fof(f635,plain,
( min_precedes(sK18(sK20),sK16(sK20),tptp0)
| min_precedes(sK16(sK20),sK18(sK20),tptp0)
| ~ spl22_40 ),
inference(resolution,[],[f634,f222]) ).
fof(f639,plain,
( min_precedes(sK16(sK20),sK18(sK20),tptp0)
| ~ spl22_40 ),
inference(forward_subsumption_resolution,[],[f635,f252]) ).
fof(f642,plain,
( sP0(sK20,sK16(sK20),sK18(sK20))
| min_precedes(sK16(sK20),sK21(sK16(sK20)),tptp0)
| ~ root_occ(sK16(sK20),sK20)
| ~ occurrence_of(sK16(sK20),tptp3)
| ~ spl22_32
| ~ spl22_40 ),
inference(resolution,[],[f639,f508]) ).
fof(f643,plain,
( sP0(sK20,sK16(sK20),sK18(sK20))
| ~ root_occ(sK16(sK20),sK20)
| ~ occurrence_of(sK16(sK20),tptp3)
| ~ spl22_33
| ~ spl22_40 ),
inference(resolution,[],[f639,f519]) ).
fof(f648,plain,
( sP0(sK20,sK16(sK20),sK18(sK20))
| ~ occurrence_of(sK16(sK20),tptp3)
| ~ spl22_12
| ~ spl22_33
| ~ spl22_40 ),
inference(forward_subsumption_resolution,[],[f643,f357]) ).
fof(f649,plain,
( sP0(sK20,sK16(sK20),sK18(sK20))
| min_precedes(sK16(sK20),sK21(sK16(sK20)),tptp0)
| ~ occurrence_of(sK16(sK20),tptp3)
| ~ spl22_12
| ~ spl22_32
| ~ spl22_40 ),
inference(forward_subsumption_resolution,[],[f642,f357]) ).
fof(f651,definition,
( spl22_42
<=> occurrence_of(sK16(sK20),tptp3) ),
introduced(definition,[new_symbols(definition,[spl22_42])],[avatar_definition]) ).
fof(f652,plain,
( ~ occurrence_of(sK16(sK20),tptp3)
| spl22_42 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f654,definition,
( spl22_43
<=> sP0(sK20,sK16(sK20),sK18(sK20)) ),
introduced(definition,[new_symbols(definition,[spl22_43])],[avatar_definition]) ).
fof(f655,plain,
( sP0(sK20,sK16(sK20),sK18(sK20))
| ~ spl22_43 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f656,plain,
( ~ spl22_42
| spl22_43
| ~ spl22_12
| ~ spl22_33
| ~ spl22_40 ),
inference(avatar_split_clause,[],[f648,f590,f518,f356,f654,f651]) ).
fof(f658,definition,
( spl22_44
<=> min_precedes(sK16(sK20),sK21(sK16(sK20)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_44])],[avatar_definition]) ).
fof(f659,plain,
( min_precedes(sK16(sK20),sK21(sK16(sK20)),tptp0)
| ~ spl22_44 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f660,plain,
( ~ spl22_42
| spl22_44
| spl22_43
| ~ spl22_12
| ~ spl22_32
| ~ spl22_40 ),
inference(avatar_split_clause,[],[f649,f590,f507,f356,f654,f658,f651]) ).
fof(f662,plain,
( ~ occurrence_of(sK20,tptp0)
| spl22_42 ),
inference(resolution,[],[f652,f205]) ).
fof(f664,plain,
( $false
| spl22_42 ),
inference(forward_subsumption_resolution,[],[f662,f222]) ).
fof(f665,plain,
spl22_42,
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f666,plain,
( occurrence_of(sK18(sK20),tptp2)
| ~ spl22_43 ),
inference(resolution,[],[f655,f218]) ).
fof(f667,plain,
( occurrence_of(sK19(sK20,sK16(sK20)),tptp1)
| ~ spl22_43 ),
inference(resolution,[],[f655,f221]) ).
fof(f668,plain,
( subactivity_occurrence(sK19(sK20,sK16(sK20)),sK20)
| ~ spl22_43 ),
inference(resolution,[],[f655,f220]) ).
fof(f669,plain,
( min_precedes(sK16(sK20),sK19(sK20,sK16(sK20)),tptp0)
| ~ spl22_43 ),
inference(resolution,[],[f655,f219]) ).
fof(f716,plain,
( arboreal(sK19(sK20,sK16(sK20)))
| ~ spl22_43 ),
inference(resolution,[],[f323,f667]) ).
fof(f765,plain,
( leaf_occ(sK18(sK20),sK20)
| ~ spl22_19 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f780,plain,
( subactivity_occurrence(sK18(sK20),sK20)
| ~ spl22_19 ),
inference(resolution,[],[f765,f196]) ).
fof(f957,plain,
( occurrence_of(sK16(sK20),sK1(sK16(sK20)))
| ~ spl22_12 ),
inference(resolution,[],[f379,f135]) ).
fof(f961,plain,
( ! [X0] :
( ~ occurrence_of(sK16(sK20),X0)
| sK1(sK16(sK20)) = X0 )
| ~ spl22_12 ),
inference(resolution,[],[f957,f137]) ).
fof(f962,plain,
( tptp3 = sK1(sK16(sK20))
| ~ occurrence_of(sK20,tptp0)
| ~ spl22_12 ),
inference(resolution,[],[f961,f205]) ).
fof(f965,plain,
( tptp3 = sK1(sK16(sK20))
| ~ spl22_12 ),
inference(forward_subsumption_resolution,[],[f962,f222]) ).
fof(f966,plain,
( occurrence_of(sK16(sK20),tptp3)
| ~ spl22_12 ),
inference(superposition,[],[f957,f965]) ).
fof(f969,plain,
( sP0(sK20,sK16(sK20),sK18(sK20))
| subactivity_occurrence(sK21(sK16(sK20)),sK20)
| ~ min_precedes(sK16(sK20),sK18(sK20),tptp0)
| ~ root_occ(sK16(sK20),sK20)
| ~ spl22_12
| ~ spl22_30 ),
inference(resolution,[],[f966,f500]) ).
fof(f970,plain,
( sP0(sK20,sK16(sK20),sK18(sK20))
| occurrence_of(sK21(sK16(sK20)),tptp2)
| ~ min_precedes(sK16(sK20),sK18(sK20),tptp0)
| ~ root_occ(sK16(sK20),sK20)
| ~ spl22_12
| ~ spl22_31 ),
inference(resolution,[],[f966,f504]) ).
fof(f1128,plain,
arboreal(sK17(sK20)),
inference(resolution,[],[f574,f222]) ).
fof(f1132,plain,
! [X2,X0,X1] :
( ~ arboreal(X0)
| sK17(sK20) = X0
| ~ occurrence_of(X2,X1)
| min_precedes(sK17(sK20),X0,X1)
| min_precedes(X0,sK17(sK20),X1)
| ~ subactivity_occurrence(X0,X2)
| ~ subactivity_occurrence(sK17(sK20),X2) ),
inference(resolution,[],[f1128,f185]) ).
fof(f2143,plain,
( ! [X0,X1] :
( sK17(sK20) = sK19(sK20,sK16(sK20))
| ~ occurrence_of(X0,X1)
| min_precedes(sK17(sK20),sK19(sK20,sK16(sK20)),X1)
| min_precedes(sK19(sK20,sK16(sK20)),sK17(sK20),X1)
| ~ subactivity_occurrence(sK19(sK20,sK16(sK20)),X0)
| ~ subactivity_occurrence(sK17(sK20),X0) )
| ~ spl22_43 ),
inference(resolution,[],[f716,f1132]) ).
fof(f2144,plain,
( ! [X0,X1] :
( sK18(sK20) = sK19(sK20,sK16(sK20))
| ~ occurrence_of(X0,X1)
| min_precedes(sK18(sK20),sK19(sK20,sK16(sK20)),X1)
| min_precedes(sK19(sK20,sK16(sK20)),sK18(sK20),X1)
| ~ subactivity_occurrence(sK19(sK20,sK16(sK20)),X0)
| ~ subactivity_occurrence(sK18(sK20),X0) )
| ~ spl22_27
| ~ spl22_43 ),
inference(resolution,[],[f716,f588]) ).
fof(f2156,definition,
( spl22_188
<=> ! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ subactivity_occurrence(sK18(sK20),X0)
| ~ subactivity_occurrence(sK19(sK20,sK16(sK20)),X0)
| min_precedes(sK19(sK20,sK16(sK20)),sK18(sK20),X1)
| min_precedes(sK18(sK20),sK19(sK20,sK16(sK20)),X1) ) ),
introduced(definition,[new_symbols(definition,[spl22_188])],[avatar_definition]) ).
fof(f2157,plain,
( ! [X0,X1] :
( ~ subactivity_occurrence(sK19(sK20,sK16(sK20)),X0)
| ~ subactivity_occurrence(sK18(sK20),X0)
| ~ occurrence_of(X0,X1)
| min_precedes(sK19(sK20,sK16(sK20)),sK18(sK20),X1)
| min_precedes(sK18(sK20),sK19(sK20,sK16(sK20)),X1) )
| ~ spl22_188 ),
inference(avatar_component_clause,[],[f2156]) ).
fof(f2159,definition,
( spl22_189
<=> sK18(sK20) = sK19(sK20,sK16(sK20)) ),
introduced(definition,[new_symbols(definition,[spl22_189])],[avatar_definition]) ).
fof(f2160,plain,
( sK18(sK20) = sK19(sK20,sK16(sK20))
| ~ spl22_189 ),
inference(avatar_component_clause,[],[f2159]) ).
fof(f2161,plain,
( spl22_188
| spl22_189
| ~ spl22_27
| ~ spl22_43 ),
inference(avatar_split_clause,[],[f2144,f654,f482,f2159,f2156]) ).
fof(f2163,definition,
( spl22_190
<=> ! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ subactivity_occurrence(sK17(sK20),X0)
| ~ subactivity_occurrence(sK19(sK20,sK16(sK20)),X0)
| min_precedes(sK19(sK20,sK16(sK20)),sK17(sK20),X1)
| min_precedes(sK17(sK20),sK19(sK20,sK16(sK20)),X1) ) ),
introduced(definition,[new_symbols(definition,[spl22_190])],[avatar_definition]) ).
fof(f2164,plain,
( ! [X0,X1] :
( ~ subactivity_occurrence(sK19(sK20,sK16(sK20)),X0)
| ~ subactivity_occurrence(sK17(sK20),X0)
| ~ occurrence_of(X0,X1)
| min_precedes(sK19(sK20,sK16(sK20)),sK17(sK20),X1)
| min_precedes(sK17(sK20),sK19(sK20,sK16(sK20)),X1) )
| ~ spl22_190 ),
inference(avatar_component_clause,[],[f2163]) ).
fof(f2166,definition,
( spl22_191
<=> sK17(sK20) = sK19(sK20,sK16(sK20)) ),
introduced(definition,[new_symbols(definition,[spl22_191])],[avatar_definition]) ).
fof(f2167,plain,
( sK17(sK20) = sK19(sK20,sK16(sK20))
| ~ spl22_191 ),
inference(avatar_component_clause,[],[f2166]) ).
fof(f2168,plain,
( spl22_190
| spl22_191
| ~ spl22_43 ),
inference(avatar_split_clause,[],[f2143,f654,f2166,f2163]) ).
fof(f2557,plain,
( occurrence_of(sK18(sK20),sK1(sK18(sK20)))
| ~ spl22_27 ),
inference(resolution,[],[f515,f135]) ).
fof(f2560,plain,
( tptp2 = sK1(sK18(sK20))
| ~ spl22_27 ),
inference(resolution,[],[f2557,f516]) ).
fof(f2563,plain,
( ! [X0] :
( ~ occurrence_of(sK18(sK20),X0)
| sK1(sK18(sK20)) = X0 )
| ~ spl22_27 ),
inference(resolution,[],[f2557,f137]) ).
fof(f2671,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK18(sK20),sK20)
| ~ occurrence_of(sK20,X0)
| min_precedes(sK19(sK20,sK16(sK20)),sK18(sK20),X0)
| min_precedes(sK18(sK20),sK19(sK20,sK16(sK20)),X0) )
| ~ spl22_43
| ~ spl22_188 ),
inference(resolution,[],[f2157,f668]) ).
fof(f2672,plain,
( ! [X0] :
( ~ occurrence_of(sK20,X0)
| min_precedes(sK19(sK20,sK16(sK20)),sK18(sK20),X0)
| min_precedes(sK18(sK20),sK19(sK20,sK16(sK20)),X0) )
| ~ spl22_19
| ~ spl22_43
| ~ spl22_188 ),
inference(forward_subsumption_resolution,[],[f2671,f780]) ).
fof(f2964,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK17(sK20),sK20)
| ~ occurrence_of(sK20,X0)
| min_precedes(sK19(sK20,sK16(sK20)),sK17(sK20),X0)
| min_precedes(sK17(sK20),sK19(sK20,sK16(sK20)),X0) )
| ~ spl22_43
| ~ spl22_190 ),
inference(resolution,[],[f2164,f668]) ).
fof(f2966,definition,
( spl22_270
<=> ! [X0] :
( ~ occurrence_of(sK20,X0)
| min_precedes(sK17(sK20),sK19(sK20,sK16(sK20)),X0)
| min_precedes(sK19(sK20,sK16(sK20)),sK17(sK20),X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_270])],[avatar_definition]) ).
fof(f2967,plain,
( ! [X0] :
( ~ occurrence_of(sK20,X0)
| min_precedes(sK17(sK20),sK19(sK20,sK16(sK20)),X0)
| min_precedes(sK19(sK20,sK16(sK20)),sK17(sK20),X0) )
| ~ spl22_270 ),
inference(avatar_component_clause,[],[f2966]) ).
fof(f2968,plain,
( ~ subactivity_occurrence(sK17(sK20),sK20)
| spl22_3 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f2969,plain,
( spl22_270
| ~ spl22_3
| ~ spl22_43
| ~ spl22_190 ),
inference(avatar_split_clause,[],[f2964,f2163,f654,f291,f2966]) ).
fof(f2972,plain,
( ~ occurrence_of(sK20,tptp0)
| ~ subactivity_occurrence(sK18(sK20),sK20)
| spl22_3 ),
inference(resolution,[],[f2968,f271]) ).
fof(f2975,plain,
( ~ occurrence_of(sK20,tptp0)
| spl22_3 ),
inference(forward_subsumption_resolution,[],[f2972,f231]) ).
fof(f2976,plain,
( $false
| spl22_3 ),
inference(forward_subsumption_resolution,[],[f2975,f222]) ).
fof(f2977,plain,
spl22_3,
inference(avatar_contradiction_clause,[],[f2976]) ).
fof(f2993,plain,
( min_precedes(sK17(sK20),sK19(sK20,sK16(sK20)),sK14(sK16(sK20),sK20))
| min_precedes(sK19(sK20,sK16(sK20)),sK17(sK20),sK14(sK16(sK20),sK20))
| ~ spl22_270 ),
inference(resolution,[],[f2967,f238]) ).
fof(f2997,plain,
( min_precedes(sK17(sK20),sK19(sK20,sK16(sK20)),tptp0)
| min_precedes(sK19(sK20,sK16(sK20)),sK17(sK20),sK14(sK16(sK20),sK20))
| ~ spl22_270 ),
inference(forward_demodulation,[],[f2993,f239]) ).
fof(f2999,definition,
( spl22_272
<=> min_precedes(sK19(sK20,sK16(sK20)),sK17(sK20),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_272])],[avatar_definition]) ).
fof(f3000,plain,
( min_precedes(sK19(sK20,sK16(sK20)),sK17(sK20),tptp0)
| ~ spl22_272 ),
inference(avatar_component_clause,[],[f2999]) ).
fof(f3002,definition,
( spl22_273
<=> min_precedes(sK17(sK20),sK19(sK20,sK16(sK20)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_273])],[avatar_definition]) ).
fof(f3003,plain,
( min_precedes(sK17(sK20),sK19(sK20,sK16(sK20)),tptp0)
| ~ spl22_273 ),
inference(avatar_component_clause,[],[f3002]) ).
fof(f3006,plain,
( min_precedes(sK19(sK20,sK16(sK20)),sK17(sK20),tptp0)
| min_precedes(sK17(sK20),sK19(sK20,sK16(sK20)),tptp0)
| ~ spl22_270 ),
inference(forward_demodulation,[],[f2997,f239]) ).
fof(f3008,plain,
( spl22_273
| spl22_272
| ~ spl22_270 ),
inference(avatar_split_clause,[],[f3006,f2966,f2999,f3002]) ).
fof(f3009,plain,
( ~ min_precedes(sK19(sK20,sK16(sK20)),sK18(sK20),tptp0)
| ~ spl22_273 ),
inference(resolution,[],[f3003,f254]) ).
fof(f3583,plain,
( min_precedes(sK19(sK20,sK16(sK20)),sK18(sK20),tptp0)
| min_precedes(sK18(sK20),sK19(sK20,sK16(sK20)),tptp0)
| ~ spl22_19
| ~ spl22_43
| ~ spl22_188 ),
inference(resolution,[],[f2672,f222]) ).
fof(f3589,plain,
( min_precedes(sK18(sK20),sK19(sK20,sK16(sK20)),tptp0)
| ~ spl22_19
| ~ spl22_43
| ~ spl22_188
| ~ spl22_273 ),
inference(forward_subsumption_resolution,[],[f3583,f3009]) ).
fof(f3599,plain,
( ~ leaf(sK18(sK20),tptp0)
| ~ spl22_19
| ~ spl22_43
| ~ spl22_188
| ~ spl22_273 ),
inference(resolution,[],[f3589,f164]) ).
fof(f3608,plain,
( $false
| ~ spl22_19
| ~ spl22_20
| ~ spl22_43
| ~ spl22_188
| ~ spl22_273 ),
inference(forward_subsumption_resolution,[],[f3599,f421]) ).
fof(f3609,plain,
( ~ spl22_19
| ~ spl22_20
| ~ spl22_43
| ~ spl22_188
| ~ spl22_273 ),
inference(avatar_contradiction_clause,[],[f3608]) ).
fof(f3610,plain,
( occurrence_of(sK18(sK20),tptp1)
| ~ spl22_43
| ~ spl22_189 ),
inference(superposition,[],[f667,f2160]) ).
fof(f3661,plain,
( spl22_26
| ~ spl22_43
| ~ spl22_189 ),
inference(avatar_split_clause,[],[f3610,f2159,f654,f479]) ).
fof(f3691,plain,
( ~ occurrence_of(sK20,tptp0)
| ~ min_precedes(sK16(sK20),sK19(sK20,sK16(sK20)),tptp0)
| ~ spl22_272 ),
inference(resolution,[],[f3000,f267]) ).
fof(f3704,plain,
( ~ min_precedes(sK16(sK20),sK19(sK20,sK16(sK20)),tptp0)
| ~ spl22_272 ),
inference(forward_subsumption_resolution,[],[f3691,f222]) ).
fof(f3705,plain,
( $false
| ~ spl22_43
| ~ spl22_272 ),
inference(forward_subsumption_resolution,[],[f3704,f669]) ).
fof(f3706,plain,
( ~ spl22_43
| ~ spl22_272 ),
inference(avatar_contradiction_clause,[],[f3705]) ).
fof(f3707,plain,
( occurrence_of(sK17(sK20),tptp1)
| ~ spl22_43
| ~ spl22_191 ),
inference(superposition,[],[f667,f2167]) ).
fof(f3757,plain,
( ~ occurrence_of(sK20,tptp0)
| tptp4 = tptp1
| ~ spl22_43
| ~ spl22_191 ),
inference(resolution,[],[f3707,f322]) ).
fof(f3769,plain,
( tptp4 = tptp1
| ~ spl22_43
| ~ spl22_191 ),
inference(forward_subsumption_resolution,[],[f3757,f222]) ).
fof(f3772,plain,
( $false
| ~ spl22_43
| ~ spl22_191 ),
inference(forward_subsumption_resolution,[],[f3769,f213]) ).
fof(f3773,plain,
( ~ spl22_43
| ~ spl22_191 ),
inference(avatar_contradiction_clause,[],[f3772]) ).
fof(f3775,plain,
( sP0(sK20,sK16(sK20),sK18(sK20))
| subactivity_occurrence(sK21(sK16(sK20)),sK20)
| ~ root_occ(sK16(sK20),sK20)
| ~ spl22_12
| ~ spl22_30
| ~ spl22_40 ),
inference(forward_subsumption_resolution,[],[f969,f639]) ).
fof(f3777,plain,
( sP0(sK20,sK16(sK20),sK18(sK20))
| subactivity_occurrence(sK21(sK16(sK20)),sK20)
| ~ spl22_12
| ~ spl22_30
| ~ spl22_40 ),
inference(forward_subsumption_resolution,[],[f3775,f357]) ).
fof(f3779,definition,
( spl22_335
<=> occurrence_of(sK21(sK16(sK20)),tptp2) ),
introduced(definition,[new_symbols(definition,[spl22_335])],[avatar_definition]) ).
fof(f3780,plain,
( occurrence_of(sK21(sK16(sK20)),tptp2)
| ~ spl22_335 ),
inference(avatar_component_clause,[],[f3779]) ).
fof(f3783,definition,
( spl22_336
<=> subactivity_occurrence(sK21(sK16(sK20)),sK20) ),
introduced(definition,[new_symbols(definition,[spl22_336])],[avatar_definition]) ).
fof(f3784,plain,
( subactivity_occurrence(sK21(sK16(sK20)),sK20)
| ~ spl22_336 ),
inference(avatar_component_clause,[],[f3783]) ).
fof(f3785,plain,
( spl22_336
| spl22_43
| ~ spl22_12
| ~ spl22_30
| ~ spl22_40 ),
inference(avatar_split_clause,[],[f3777,f590,f499,f356,f654,f3783]) ).
fof(f3789,plain,
( tptp1 = sK1(sK18(sK20))
| ~ spl22_26
| ~ spl22_27 ),
inference(resolution,[],[f480,f2563]) ).
fof(f3793,plain,
( arboreal(sK18(sK20))
| ~ spl22_26 ),
inference(resolution,[],[f480,f323]) ).
fof(f3799,plain,
( ! [X0] :
( ~ occurrence_of(sK18(sK20),X0)
| tptp1 = X0 )
| ~ spl22_26 ),
inference(resolution,[],[f480,f137]) ).
fof(f3806,plain,
( tptp1 = tptp2
| ~ spl22_26
| ~ spl22_27 ),
inference(forward_demodulation,[],[f3789,f2560]) ).
fof(f3809,plain,
( $false
| ~ spl22_26
| ~ spl22_27 ),
inference(forward_subsumption_resolution,[],[f3806,f217]) ).
fof(f3810,plain,
( ~ spl22_26
| ~ spl22_27 ),
inference(avatar_contradiction_clause,[],[f3809]) ).
fof(f3811,plain,
( arboreal(sK21(sK16(sK20)))
| ~ spl22_335 ),
inference(resolution,[],[f3780,f325]) ).
fof(f3868,plain,
( ! [X0,X1] :
( sK16(sK20) = sK18(sK20)
| ~ occurrence_of(X0,X1)
| min_precedes(sK16(sK20),sK18(sK20),X1)
| min_precedes(sK18(sK20),sK16(sK20),X1)
| ~ subactivity_occurrence(sK18(sK20),X0)
| ~ subactivity_occurrence(sK16(sK20),X0) )
| ~ spl22_26 ),
inference(resolution,[],[f3793,f580]) ).
fof(f3870,plain,
( ! [X2,X0,X1] :
( ~ subactivity_occurrence(sK18(sK20),X2)
| sK18(sK20) = X0
| ~ occurrence_of(X2,X1)
| ~ arboreal(X0)
| min_precedes(X0,sK18(sK20),X1)
| ~ subactivity_occurrence(X0,X2)
| min_precedes(sK18(sK20),X0,X1) )
| ~ spl22_26 ),
inference(resolution,[],[f3793,f185]) ).
fof(f3871,plain,
( ! [X0,X1] :
( sK17(sK20) = sK21(sK16(sK20))
| ~ occurrence_of(X0,X1)
| min_precedes(sK17(sK20),sK21(sK16(sK20)),X1)
| min_precedes(sK21(sK16(sK20)),sK17(sK20),X1)
| ~ subactivity_occurrence(sK21(sK16(sK20)),X0)
| ~ subactivity_occurrence(sK17(sK20),X0) )
| ~ spl22_335 ),
inference(resolution,[],[f3811,f1132]) ).
fof(f3883,definition,
( spl22_347
<=> ! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ subactivity_occurrence(sK17(sK20),X0)
| ~ subactivity_occurrence(sK21(sK16(sK20)),X0)
| min_precedes(sK21(sK16(sK20)),sK17(sK20),X1)
| min_precedes(sK17(sK20),sK21(sK16(sK20)),X1) ) ),
introduced(definition,[new_symbols(definition,[spl22_347])],[avatar_definition]) ).
fof(f3884,plain,
( ! [X0,X1] :
( ~ subactivity_occurrence(sK21(sK16(sK20)),X0)
| ~ subactivity_occurrence(sK17(sK20),X0)
| ~ occurrence_of(X0,X1)
| min_precedes(sK21(sK16(sK20)),sK17(sK20),X1)
| min_precedes(sK17(sK20),sK21(sK16(sK20)),X1) )
| ~ spl22_347 ),
inference(avatar_component_clause,[],[f3883]) ).
fof(f3886,definition,
( spl22_348
<=> sK17(sK20) = sK21(sK16(sK20)) ),
introduced(definition,[new_symbols(definition,[spl22_348])],[avatar_definition]) ).
fof(f3887,plain,
( sK17(sK20) = sK21(sK16(sK20))
| ~ spl22_348 ),
inference(avatar_component_clause,[],[f3886]) ).
fof(f3888,plain,
( spl22_347
| spl22_348
| ~ spl22_335 ),
inference(avatar_split_clause,[],[f3871,f3779,f3886,f3883]) ).
fof(f3892,plain,
( occurrence_of(sK17(sK20),tptp2)
| ~ spl22_335
| ~ spl22_348 ),
inference(superposition,[],[f3780,f3887]) ).
fof(f3904,plain,
( ~ occurrence_of(sK20,tptp0)
| tptp4 = tptp2
| ~ spl22_335
| ~ spl22_348 ),
inference(resolution,[],[f3892,f322]) ).
fof(f3917,plain,
( tptp4 = tptp2
| ~ spl22_335
| ~ spl22_348 ),
inference(forward_subsumption_resolution,[],[f3904,f222]) ).
fof(f3920,plain,
( $false
| ~ spl22_335
| ~ spl22_348 ),
inference(forward_subsumption_resolution,[],[f3917,f214]) ).
fof(f3921,plain,
( ~ spl22_335
| ~ spl22_348 ),
inference(avatar_contradiction_clause,[],[f3920]) ).
fof(f3994,plain,
( ! [X0,X1] :
( ~ occurrence_of(sK20,X1)
| sK18(sK20) = X0
| ~ arboreal(X0)
| min_precedes(X0,sK18(sK20),X1)
| ~ subactivity_occurrence(X0,sK20)
| min_precedes(sK18(sK20),X0,X1) )
| ~ spl22_19
| ~ spl22_26 ),
inference(resolution,[],[f3870,f780]) ).
fof(f3999,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK17(sK20),sK20)
| ~ occurrence_of(sK20,X0)
| min_precedes(sK21(sK16(sK20)),sK17(sK20),X0)
| min_precedes(sK17(sK20),sK21(sK16(sK20)),X0) )
| ~ spl22_336
| ~ spl22_347 ),
inference(resolution,[],[f3884,f3784]) ).
fof(f4000,plain,
( ! [X0] :
( ~ occurrence_of(sK20,X0)
| min_precedes(sK21(sK16(sK20)),sK17(sK20),X0)
| min_precedes(sK17(sK20),sK21(sK16(sK20)),X0) )
| ~ spl22_3
| ~ spl22_336
| ~ spl22_347 ),
inference(forward_subsumption_resolution,[],[f3999,f292]) ).
fof(f4001,plain,
( ! [X0] :
( ~ subactivity_occurrence(X0,sK20)
| ~ arboreal(X0)
| min_precedes(X0,sK18(sK20),tptp0)
| sK18(sK20) = X0
| min_precedes(sK18(sK20),X0,tptp0) )
| ~ spl22_19
| ~ spl22_26 ),
inference(resolution,[],[f3994,f222]) ).
fof(f4012,plain,
( ~ arboreal(sK21(sK16(sK20)))
| min_precedes(sK21(sK16(sK20)),sK18(sK20),tptp0)
| sK18(sK20) = sK21(sK16(sK20))
| min_precedes(sK18(sK20),sK21(sK16(sK20)),tptp0)
| ~ spl22_19
| ~ spl22_26
| ~ spl22_336 ),
inference(resolution,[],[f4001,f3784]) ).
fof(f4018,plain,
( min_precedes(sK21(sK16(sK20)),sK18(sK20),tptp0)
| sK18(sK20) = sK21(sK16(sK20))
| min_precedes(sK18(sK20),sK21(sK16(sK20)),tptp0)
| ~ spl22_19
| ~ spl22_26
| ~ spl22_335
| ~ spl22_336 ),
inference(forward_subsumption_resolution,[],[f4012,f3811]) ).
fof(f4020,definition,
( spl22_353
<=> min_precedes(sK18(sK20),sK21(sK16(sK20)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_353])],[avatar_definition]) ).
fof(f4021,plain,
( min_precedes(sK18(sK20),sK21(sK16(sK20)),tptp0)
| ~ spl22_353 ),
inference(avatar_component_clause,[],[f4020]) ).
fof(f4023,definition,
( spl22_354
<=> sK18(sK20) = sK21(sK16(sK20)) ),
introduced(definition,[new_symbols(definition,[spl22_354])],[avatar_definition]) ).
fof(f4024,plain,
( sK18(sK20) = sK21(sK16(sK20))
| ~ spl22_354 ),
inference(avatar_component_clause,[],[f4023]) ).
fof(f4026,definition,
( spl22_355
<=> min_precedes(sK21(sK16(sK20)),sK18(sK20),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_355])],[avatar_definition]) ).
fof(f4027,plain,
( min_precedes(sK21(sK16(sK20)),sK18(sK20),tptp0)
| ~ spl22_355 ),
inference(avatar_component_clause,[],[f4026]) ).
fof(f4028,plain,
( spl22_353
| spl22_354
| spl22_355
| ~ spl22_19
| ~ spl22_26
| ~ spl22_335
| ~ spl22_336 ),
inference(avatar_split_clause,[],[f4018,f3783,f3779,f479,f417,f4026,f4023,f4020]) ).
fof(f4107,plain,
( occurrence_of(sK18(sK20),tptp2)
| ~ spl22_335
| ~ spl22_354 ),
inference(superposition,[],[f3780,f4024]) ).
fof(f4119,plain,
( spl22_27
| ~ spl22_335
| ~ spl22_354 ),
inference(avatar_split_clause,[],[f4107,f4023,f3779,f482]) ).
fof(f4178,plain,
( min_precedes(sK21(sK16(sK20)),sK17(sK20),sK14(sK16(sK20),sK20))
| min_precedes(sK17(sK20),sK21(sK16(sK20)),sK14(sK16(sK20),sK20))
| ~ spl22_3
| ~ spl22_336
| ~ spl22_347 ),
inference(resolution,[],[f4000,f238]) ).
fof(f4182,plain,
( min_precedes(sK21(sK16(sK20)),sK17(sK20),tptp0)
| min_precedes(sK17(sK20),sK21(sK16(sK20)),sK14(sK16(sK20),sK20))
| ~ spl22_3
| ~ spl22_336
| ~ spl22_347 ),
inference(forward_demodulation,[],[f4178,f239]) ).
fof(f4184,definition,
( spl22_365
<=> min_precedes(sK17(sK20),sK21(sK16(sK20)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_365])],[avatar_definition]) ).
fof(f4185,plain,
( min_precedes(sK17(sK20),sK21(sK16(sK20)),tptp0)
| ~ spl22_365 ),
inference(avatar_component_clause,[],[f4184]) ).
fof(f4187,definition,
( spl22_366
<=> min_precedes(sK21(sK16(sK20)),sK17(sK20),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_366])],[avatar_definition]) ).
fof(f4188,plain,
( min_precedes(sK21(sK16(sK20)),sK17(sK20),tptp0)
| ~ spl22_366 ),
inference(avatar_component_clause,[],[f4187]) ).
fof(f4191,plain,
( min_precedes(sK17(sK20),sK21(sK16(sK20)),tptp0)
| min_precedes(sK21(sK16(sK20)),sK17(sK20),tptp0)
| ~ spl22_3
| ~ spl22_336
| ~ spl22_347 ),
inference(forward_demodulation,[],[f4182,f239]) ).
fof(f4193,plain,
( spl22_366
| spl22_365
| ~ spl22_3
| ~ spl22_336
| ~ spl22_347 ),
inference(avatar_split_clause,[],[f4191,f3883,f3783,f291,f4184,f4187]) ).
fof(f4195,plain,
( ~ occurrence_of(sK20,tptp0)
| ~ min_precedes(sK16(sK20),sK21(sK16(sK20)),tptp0)
| ~ spl22_366 ),
inference(resolution,[],[f4188,f267]) ).
fof(f4208,plain,
( ~ min_precedes(sK16(sK20),sK21(sK16(sK20)),tptp0)
| ~ spl22_366 ),
inference(forward_subsumption_resolution,[],[f4195,f222]) ).
fof(f4209,plain,
( $false
| ~ spl22_44
| ~ spl22_366 ),
inference(forward_subsumption_resolution,[],[f4208,f659]) ).
fof(f4210,plain,
( ~ spl22_44
| ~ spl22_366 ),
inference(avatar_contradiction_clause,[],[f4209]) ).
fof(f4211,plain,
( $false
| ~ spl22_355
| ~ spl22_365 ),
inference(unit_resulting_resolution,[],[f254,f4027,f4185]) ).
fof(f4225,plain,
( ~ spl22_355
| ~ spl22_365 ),
inference(avatar_contradiction_clause,[],[f4211]) ).
fof(f4234,plain,
( ~ leaf(sK18(sK20),tptp0)
| ~ spl22_353 ),
inference(resolution,[],[f4021,f164]) ).
fof(f4243,plain,
( $false
| ~ spl22_20
| ~ spl22_353 ),
inference(forward_subsumption_resolution,[],[f4234,f421]) ).
fof(f4244,plain,
( ~ spl22_20
| ~ spl22_353 ),
inference(avatar_contradiction_clause,[],[f4243]) ).
fof(f4295,definition,
( spl22_378
<=> min_precedes(sK16(sK20),sK18(sK20),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_378])],[avatar_definition]) ).
fof(f4301,plain,
( sP0(sK20,sK16(sK20),sK18(sK20))
| occurrence_of(sK21(sK16(sK20)),tptp2)
| ~ min_precedes(sK16(sK20),sK18(sK20),tptp0)
| ~ spl22_12
| ~ spl22_31 ),
inference(forward_subsumption_resolution,[],[f970,f357]) ).
fof(f4302,plain,
( spl22_40
| spl22_41
| ~ spl22_26 ),
inference(avatar_split_clause,[],[f3868,f479,f593,f590]) ).
fof(f4312,plain,
( ~ spl22_378
| spl22_335
| spl22_43
| ~ spl22_12
| ~ spl22_31 ),
inference(avatar_split_clause,[],[f4301,f503,f356,f654,f3779,f4295]) ).
fof(f4351,plain,
( tptp3 = tptp1
| ~ spl22_26
| ~ spl22_41 ),
inference(resolution,[],[f614,f3799]) ).
fof(f4362,plain,
( $false
| ~ spl22_26
| ~ spl22_41 ),
inference(forward_subsumption_resolution,[],[f4351,f215]) ).
fof(f4363,plain,
( ~ spl22_26
| ~ spl22_41 ),
inference(avatar_contradiction_clause,[],[f4362]) ).
fof(f4364,plain,
( spl22_378
| ~ spl22_40 ),
inference(avatar_split_clause,[],[f639,f590,f4295]) ).
fof(f4393,plain,
( spl22_27
| ~ spl22_43 ),
inference(avatar_split_clause,[],[f666,f654,f482]) ).
cnf(s8,plain,
( spl22_12
| ~ spl22_13 ),
inference(sat_conversion,[],[f361]) ).
cnf(s11,plain,
spl22_13,
inference(sat_conversion,[],[f373]) ).
cnf(s18,plain,
( ~ spl22_19
| spl22_20 ),
inference(sat_conversion,[],[f422]) ).
cnf(s20,plain,
spl22_19,
inference(sat_conversion,[],[f427]) ).
cnf(s26,plain,
( spl22_26
| spl22_27 ),
inference(sat_conversion,[],[f484]) ).
cnf(s28,plain,
( ~ spl22_19
| ~ spl22_26
| spl22_30 ),
inference(sat_conversion,[],[f501]) ).
cnf(s29,plain,
( ~ spl22_19
| ~ spl22_26
| spl22_31 ),
inference(sat_conversion,[],[f505]) ).
cnf(s30,plain,
( ~ spl22_19
| ~ spl22_26
| spl22_32 ),
inference(sat_conversion,[],[f509]) ).
cnf(s31,plain,
( ~ spl22_19
| spl22_26
| ~ spl22_27
| spl22_33 ),
inference(sat_conversion,[],[f520]) ).
cnf(s39,plain,
( ~ spl22_27
| spl22_40
| spl22_41 ),
inference(sat_conversion,[],[f595]) ).
cnf(s40,plain,
( ~ spl22_27
| ~ spl22_41 ),
inference(sat_conversion,[],[f624]) ).
cnf(s41,plain,
( ~ spl22_12
| ~ spl22_33
| ~ spl22_40
| ~ spl22_42
| spl22_43 ),
inference(sat_conversion,[],[f656]) ).
cnf(s42,plain,
( ~ spl22_12
| ~ spl22_32
| ~ spl22_40
| ~ spl22_42
| spl22_43
| spl22_44 ),
inference(sat_conversion,[],[f660]) ).
cnf(s44,plain,
spl22_42,
inference(sat_conversion,[],[f665]) ).
cnf(s178,plain,
( ~ spl22_27
| ~ spl22_43
| spl22_188
| spl22_189 ),
inference(sat_conversion,[],[f2161]) ).
cnf(s179,plain,
( ~ spl22_43
| spl22_190
| spl22_191 ),
inference(sat_conversion,[],[f2168]) ).
cnf(s254,plain,
( ~ spl22_3
| ~ spl22_43
| ~ spl22_190
| spl22_270 ),
inference(sat_conversion,[],[f2969]) ).
cnf(s257,plain,
spl22_3,
inference(sat_conversion,[],[f2977]) ).
cnf(s261,plain,
( ~ spl22_270
| spl22_272
| spl22_273 ),
inference(sat_conversion,[],[f3008]) ).
cnf(s306,plain,
( ~ spl22_19
| ~ spl22_20
| ~ spl22_43
| ~ spl22_188
| ~ spl22_273 ),
inference(sat_conversion,[],[f3609]) ).
cnf(s311,plain,
( spl22_26
| ~ spl22_43
| ~ spl22_189 ),
inference(sat_conversion,[],[f3661]) ).
cnf(s318,plain,
( ~ spl22_43
| ~ spl22_272 ),
inference(sat_conversion,[],[f3706]) ).
cnf(s328,plain,
( ~ spl22_43
| ~ spl22_191 ),
inference(sat_conversion,[],[f3773]) ).
cnf(s330,plain,
( ~ spl22_12
| ~ spl22_30
| ~ spl22_40
| spl22_43
| spl22_336 ),
inference(sat_conversion,[],[f3785]) ).
cnf(s336,plain,
( ~ spl22_26
| ~ spl22_27 ),
inference(sat_conversion,[],[f3810]) ).
cnf(s343,plain,
( ~ spl22_335
| spl22_347
| spl22_348 ),
inference(sat_conversion,[],[f3888]) ).
cnf(s350,plain,
( ~ spl22_335
| ~ spl22_348 ),
inference(sat_conversion,[],[f3921]) ).
cnf(s352,plain,
( ~ spl22_19
| ~ spl22_26
| ~ spl22_335
| ~ spl22_336
| spl22_353
| spl22_354
| spl22_355 ),
inference(sat_conversion,[],[f4028]) ).
cnf(s363,plain,
( spl22_27
| ~ spl22_335
| ~ spl22_354 ),
inference(sat_conversion,[],[f4119]) ).
cnf(s368,plain,
( ~ spl22_3
| ~ spl22_336
| ~ spl22_347
| spl22_365
| spl22_366 ),
inference(sat_conversion,[],[f4193]) ).
cnf(s370,plain,
( ~ spl22_44
| ~ spl22_366 ),
inference(sat_conversion,[],[f4210]) ).
cnf(s371,plain,
( ~ spl22_355
| ~ spl22_365 ),
inference(sat_conversion,[],[f4225]) ).
cnf(s375,plain,
( ~ spl22_20
| ~ spl22_353 ),
inference(sat_conversion,[],[f4244]) ).
cnf(s387,plain,
( ~ spl22_26
| spl22_40
| spl22_41 ),
inference(sat_conversion,[],[f4302]) ).
cnf(s389,plain,
( ~ spl22_12
| ~ spl22_31
| spl22_43
| spl22_335
| ~ spl22_378 ),
inference(sat_conversion,[],[f4312]) ).
cnf(s398,plain,
( ~ spl22_26
| ~ spl22_41 ),
inference(sat_conversion,[],[f4363]) ).
cnf(s399,plain,
( ~ spl22_40
| spl22_378 ),
inference(sat_conversion,[],[f4364]) ).
cnf(s409,plain,
( spl22_27
| ~ spl22_43 ),
inference(sat_conversion,[],[f4393]) ).
cnf(s416,plain,
( ~ spl22_43
| ~ spl22_190
| spl22_270 ),
inference(rat,[],[s254,s257]) ).
cnf(s432,plain,
( ~ spl22_12
| ~ spl22_32
| ~ spl22_40
| spl22_43
| spl22_44 ),
inference(rat,[],[s42,s44]) ).
cnf(s433,plain,
( ~ spl22_12
| ~ spl22_33
| ~ spl22_40
| spl22_43 ),
inference(rat,[],[s41,s44]) ).
cnf(s436,plain,
spl22_20,
inference(rat,[],[s18,s20]) ).
cnf(s437,plain,
~ spl22_353,
inference(rat,[],[s375,s436]) ).
cnf(s442,plain,
spl22_12,
inference(rat,[],[s8,s11]) ).
cnf(s443,plain,
( ~ spl22_27
| spl22_40 ),
inference(rat,[],[s39,s40]) ).
cnf(s444,plain,
spl22_40,
inference(rat,[],[s387,s398,s26,s443]) ).
cnf(s446,plain,
spl22_378,
inference(rat,[],[s399,s444]) ).
cnf(s456,plain,
( ~ spl22_27
| spl22_26 ),
inference(rat,[],[s261,s306,s416,s178,s179,s311,s318,s328,s433,s31,s444,s442,s436,s20]) ).
cnf(s457,plain,
spl22_26,
inference(rat,[],[s456,s26]) ).
cnf(s459,plain,
~ spl22_27,
inference(rat,[],[s336,s457]) ).
cnf(s460,plain,
spl22_32,
inference(rat,[],[s30,s20,s457]) ).
cnf(s461,plain,
spl22_31,
inference(rat,[],[s29,s20,s457]) ).
cnf(s462,plain,
spl22_30,
inference(rat,[],[s28,s20,s457]) ).
cnf(s463,plain,
~ spl22_43,
inference(rat,[],[s409,s459]) ).
cnf(s464,plain,
spl22_336,
inference(rat,[],[s330,s462,s444,s442,s463]) ).
cnf(s466,plain,
spl22_44,
inference(rat,[],[s432,s460,s444,s442,s463]) ).
cnf(s467,plain,
spl22_335,
inference(rat,[],[s389,s446,s461,s442,s463]) ).
cnf(s468,plain,
~ spl22_366,
inference(rat,[],[s370,s466]) ).
cnf(s469,plain,
~ spl22_354,
inference(rat,[],[s363,s459,s467]) ).
cnf(s470,plain,
~ spl22_348,
inference(rat,[],[s350,s467]) ).
cnf(s471,plain,
spl22_347,
inference(rat,[],[s343,s470,s467]) ).
cnf(s472,plain,
spl22_355,
inference(rat,[],[s352,s464,s469,s437,s457,s20,s467]) ).
cnf(s473,plain,
spl22_365,
inference(rat,[],[s368,s468,s464,s257,s471]) ).
cnf(s475,plain,
$false,
inference(rat,[],[s371,s473,s472]) ).
fof(f4403,plain,
$false,
inference(avatar_sat_refutation,[],[s475]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO008+1 : 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 : n007.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 22:16:56 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
% 6.33/1.84 % (1829815)Detected formulas, will run a generic FOF schedule.
% 6.33/1.84 % (1829821)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=3842961921:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.33/1.84 % (1829826)dis-21_1_sil=8000:lcm=predicate:random_seed=3626784959: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)
% 6.33/1.84 % (1829824)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2106688497:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.33/1.84 % (1829820)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=3959197140:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.33/1.84 % (1829823)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4273941722:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.33/1.84 % (1829822)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=3589429774:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.33/1.84 % (1829825)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1654742551:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.33/1.84 % (1829823)Refutation not found, incomplete strategy
% 6.33/1.84 % (1829823)------------------------------
% 6.33/1.84 % (1829823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.84 % (1829823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.84 % (1829823)CaDiCaL version: 2.1.3
% 6.33/1.84 % (1829823)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.84 % (1829823)Time elapsed: 0.001 s
% 6.33/1.84 % (1829823)Peak memory usage: 87 MB
% 6.33/1.84 % (1829824)Instruction limit reached!
% 6.33/1.84 % (1829824)------------------------------
% 6.33/1.84 % (1829824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.84 % (1829824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.84 % (1829824)CaDiCaL version: 2.1.3
% 6.33/1.84 % (1829824)Termination reason: Instruction limit
% 6.33/1.84 % (1829824)Termination phase: Saturation
% 6.33/1.84 % (1829824)Time elapsed: 0.057 s
% 6.33/1.84 % (1829824)Peak memory usage: 88 MB
% 6.33/1.84 % (1829824)Instructions burned: 119 (million)
% 6.33/1.84 % (1829826)Instruction limit reached!
% 6.33/1.84 % (1829826)------------------------------
% 6.33/1.84 % (1829826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.84 % (1829826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.84 % (1829826)CaDiCaL version: 2.1.3
% 6.33/1.84 % (1829826)Termination reason: Instruction limit
% 6.33/1.84 % (1829826)Termination phase: Saturation
% 6.33/1.84 % (1829826)Time elapsed: 0.077 s
% 6.33/1.84 % (1829826)Peak memory usage: 89 MB
% 6.33/1.84 % (1829826)Instructions burned: 131 (million)
% 6.33/1.84 % (1829825)Instruction limit reached!
% 6.33/1.84 % (1829825)------------------------------
% 6.33/1.84 % (1829825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.84 % (1829825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.84 % (1829825)CaDiCaL version: 2.1.3
% 6.33/1.84 % (1829825)Termination reason: Instruction limit
% 6.33/1.84 % (1829825)Termination phase: Saturation
% 6.33/1.84 % (1829825)Time elapsed: 0.105 s
% 6.33/1.84 % (1829825)Peak memory usage: 90 MB
% 6.33/1.84 % (1829825)Instructions burned: 149 (million)
% 6.33/1.84 % (1829834)lrs+10_1_sil=8000:sp=occurrence:random_seed=3251805426:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.33/1.84 % (1829835)lrs+10_1_sil=32000:urr=on:br=off:random_seed=188050800:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.33/1.84 % (1829835)Refutation not found, incomplete strategy
% 6.33/1.84 % (1829835)------------------------------
% 6.33/1.84 % (1829835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.84 % (1829835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.84 % (1829835)CaDiCaL version: 2.1.3
% 6.33/1.84 % (1829835)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.84 % (1829835)Time elapsed: 0.003 s
% 6.33/1.84 % (1829835)Peak memory usage: 88 MB
% 6.33/1.84 % (1829835)Instructions burned: 3 (million)
% 6.33/1.84 % (1829836)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2342186832:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.33/1.84 % (1829823)------------------------------
% 6.33/1.84 % (1829823)------------------------------
% 6.33/1.84 % (1829834)Instruction limit reached!
% 6.33/1.84 % (1829834)------------------------------
% 6.33/1.84 % (1829834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.84 % (1829834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.84 % (1829834)CaDiCaL version: 2.1.3
% 6.33/1.84 % (1829834)Termination reason: Instruction limit
% 6.33/1.84 % (1829834)Termination phase: Saturation
% 6.33/1.84 % (1829834)Time elapsed: 0.164 s
% 6.33/1.84 % (1829834)Peak memory usage: 91 MB
% 6.33/1.84 % (1829834)Instructions burned: 285 (million)
% 6.33/1.84 % (1829840)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=1668691558:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.33/1.84 % (1829835)------------------------------
% 6.33/1.84 % (1829835)------------------------------
% 6.33/1.84 % (1829836)Instruction limit reached!
% 6.33/1.84 % (1829836)------------------------------
% 6.33/1.84 % (1829836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.84 % (1829836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.84 % (1829836)CaDiCaL version: 2.1.3
% 6.33/1.84 % (1829836)Termination reason: Instruction limit
% 6.33/1.84 % (1829836)Termination phase: Saturation
% 6.33/1.84 % (1829836)Time elapsed: 0.207 s
% 6.33/1.84 % (1829836)Peak memory usage: 92 MB
% 6.33/1.84 % (1829836)Instructions burned: 326 (million)
% 6.33/1.84 % (1829841)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2631207750:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.33/1.84 % (1829840)Instruction limit reached!
% 6.33/1.84 % (1829840)------------------------------
% 6.33/1.84 % (1829840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.84 % (1829840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.84 % (1829840)CaDiCaL version: 2.1.3
% 6.33/1.84 % (1829840)Termination reason: Instruction limit
% 6.33/1.84 % (1829840)Termination phase: Saturation
% 6.33/1.84 % (1829840)Time elapsed: 0.133 s
% 6.33/1.84 % (1829840)Peak memory usage: 90 MB
% 6.33/1.84 % (1829840)Instructions burned: 249 (million)
% 6.33/1.84 % (1829843)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=831721414:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.33/1.84 % (1829844)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2915189600:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.33/1.84 % (1829846)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3072468138:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.33/1.84 % (1829841)Instruction limit reached!
% 6.33/1.84 % (1829841)------------------------------
% 6.33/1.84 % (1829841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.84 % (1829841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.84 % (1829841)CaDiCaL version: 2.1.3
% 6.33/1.84 % (1829841)Termination reason: Instruction limit
% 6.33/1.84 % (1829841)Termination phase: Saturation
% 6.33/1.84 % (1829841)Time elapsed: 0.153 s
% 6.33/1.84 % (1829841)Peak memory usage: 88 MB
% 6.33/1.84 % (1829841)Instructions burned: 295 (million)
% 6.33/1.84 % (1829821)First to succeed.
% 6.33/1.84 % (1829844)Instruction limit reached!
% 6.33/1.84 % (1829844)------------------------------
% 6.33/1.84 % (1829844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.84 % (1829844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.84 % (1829844)CaDiCaL version: 2.1.3
% 6.33/1.84 % (1829844)Termination reason: Instruction limit
% 6.33/1.84 % (1829844)Termination phase: Saturation
% 6.33/1.84 % (1829844)Time elapsed: 0.080 s
% 6.33/1.84 % (1829844)Peak memory usage: 90 MB
% 6.33/1.84 % (1829844)Instructions burned: 114 (million)
% 6.33/1.84 % (1829821)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1829815"
% 6.33/1.84 % (1829846)Instruction limit reached!
% 6.33/1.84 % (1829846)------------------------------
% 6.33/1.84 % (1829846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.84 % (1829846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.84 % (1829846)CaDiCaL version: 2.1.3
% 6.33/1.84 % (1829846)Termination reason: Instruction limit
% 6.33/1.84 % (1829846)Termination phase: Saturation
% 6.33/1.84 % (1829846)Time elapsed: 0.069 s
% 6.33/1.84 % (1829846)Peak memory usage: 89 MB
% 6.33/1.84 % (1829846)Instructions burned: 129 (million)
% 6.33/1.84 % (1829850)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=909006172:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.33/1.84 % (1829850)Refutation not found, incomplete strategy
% 6.33/1.84 % (1829850)------------------------------
% 6.33/1.84 % (1829850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.84 % (1829850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.84 % (1829850)CaDiCaL version: 2.1.3
% 6.33/1.84 % (1829850)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.84 % (1829850)Time elapsed: 0.001 s
% 6.33/1.84 % (1829850)Peak memory usage: 88 MB
% 6.33/1.84 % (1829851)lrs+10_1_sil=8000:sp=occurrence:random_seed=3619294454:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.33/1.84 % (1829821)Refutation found. Thanks to Tanya!
% 6.33/1.84 % SZS status Theorem for theBenchmark
% 6.33/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 7.42/1.93 % (1829821)------------------------------
% 7.42/1.93 % (1829821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.93 % (1829821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.93 % (1829821)CaDiCaL version: 2.1.3
% 7.42/1.93 % (1829821)Termination reason: Refutation
% 7.42/1.93 % (1829821)Time elapsed: 0.713 s
% 7.42/1.93 % (1829821)Peak memory usage: 136 MB
% 7.42/1.93 % (1829821)Instructions burned: 1678 (million)
% 7.42/1.93 % (1829821)------------------------------
% 7.42/1.93 % (1829821)------------------------------
% 7.42/1.93 % (1829815)Success in time 0.977 s
% 7.42/1.93 % Vampire exiting
%------------------------------------------------------------------------------