%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO008+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:30:24 PM UTC 2026
% Result : Theorem 7.97s 2.15s
% Output : Refutation 9.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 54
% Syntax : Number of formulae : 480 ( 49 unt; 33 def)
% Number of atoms : 1903 ( 136 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2504 (1081 ~;1247 |; 120 &)
% ( 38 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 47 ( 45 usr; 33 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 354 ( 0 sgn 318 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X1,X0)
& subactivity_occurrence(X2,X1)
& leaf_occ(X3,X1)
& arboreal(X2)
& ~ min_precedes(X2,X3,X0) )
=> X3 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f4,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f5,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/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& root_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(f13,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(f17,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
fof(f19,axiom,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(f20,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).
fof(f23,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(f27,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/sandbox/benchmark/theBenchmark.p',sos_26) ).
fof(f28,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/sandbox/benchmark/theBenchmark.p',sos_27) ).
fof(f33,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/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f36,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(f37,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_36) ).
fof(f38,axiom,
atomic(tptp2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_37) ).
fof(f39,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(f41,axiom,
tptp4 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_40) ).
fof(f42,axiom,
tptp4 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_41) ).
fof(f45,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_44) ).
fof(f46,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/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f47,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)],[f46]) ).
fof(f51,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] : occurrence_of(X0,X1) ),
inference(pure_predicate_removal,[],[f13]) ).
fof(f52,plain,
! [X0,X1] :
( occurrence_of(X1,X0)
=> activity_occurrence(X1) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( X3 = X2
| ~ occurrence_of(X1,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X3,X1)
| ~ arboreal(X2)
| min_precedes(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( X3 = X2
| ~ occurrence_of(X1,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X3,X1)
| ~ arboreal(X2)
| min_precedes(X2,X3,X0) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( activity_occurrence(X1)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f61,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,[],[f5]) ).
fof(f62,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,[],[f61]) ).
fof(f67,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f68,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f67]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(flattening,[],[f71]) ).
fof(f74,plain,
! [X0] :
( ? [X1] : occurrence_of(X0,X1)
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f78,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f85,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,[],[f27]) ).
fof(f86,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,[],[f28]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ min_precedes(X0,X1,X2)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(flattening,[],[f86]) ).
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,[],[f33]) ).
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,[],[f47]) ).
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(f104,plain,
! [X0] :
( occurrence_of(X0,sK5(X0))
| ~ activity_occurrence(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f74]) ).
fof(f110,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f78]) ).
fof(f111,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,[],[f19]) ).
fof(f112,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,[],[f111]) ).
fof(f113,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ( occurrence_of(X1,sK9(X0,X1))
& subactivity_occurrence(X0,X1)
& leaf(X0,sK9(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f112]) ).
fof(f114,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,[],[f20]) ).
fof(f115,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,[],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ( occurrence_of(X1,sK10(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK10(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X0,X1))],[f115]) ).
fof(f120,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,[],[f85]) ).
fof(f121,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,[],[f120]) ).
fof(f122,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,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ( min_precedes(X0,sK12(X0,X1,X2),X2)
& min_precedes(sK12(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,[sK12]),skolemize(X3,sK12(X0,X1,X2))],[f122]) ).
fof(f124,plain,
! [X0] :
( ( occurrence_of(sK13(X0),tptp3)
& root_occ(sK13(X0),X0)
& occurrence_of(sK14(X0),tptp4)
& next_subocc(sK13(X0),sK14(X0),tptp0)
& ( occurrence_of(sK15(X0),tptp1)
| occurrence_of(sK15(X0),tptp2) )
& next_subocc(sK14(X0),sK15(X0),tptp0)
& leaf_occ(sK15(X0),X0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X1,sK13(X0)),skolemize(X2,sK14(X0)),skolemize(X3,sK15(X0))],[f96]) ).
fof(f125,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(f126,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,[],[f125]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK16(X0,X1),tptp1)
& subactivity_occurrence(sK16(X0,X1),X0)
& min_precedes(X1,sK16(X0,X1),tptp0)
& occurrence_of(X2,tptp2) )
| ~ sP0(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X3,sK16(X0,X1))],[f126]) ).
fof(f128,plain,
( ! [X1,X2] :
( ~ occurrence_of(X1,tptp3)
| ~ root_occ(X1,sK17)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ min_precedes(X1,X2,tptp0)
| ~ leaf_occ(X2,sK17)
| ( occurrence_of(sK18(X1),tptp2)
& subactivity_occurrence(sK18(X1),sK17)
& min_precedes(X1,sK18(X1),tptp0)
& occurrence_of(X2,tptp1) )
| sP0(sK17,X1,X2) )
& occurrence_of(sK17,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X3,sK18(X1))],[f99]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X3,X1)
| ~ occurrence_of(X1,X0)
| ~ subactivity_occurrence(X2,X1)
| X2 = X3
| ~ arboreal(X2)
| min_precedes(X2,X3,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f133,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( ~ subactivity_occurrence(X3,X1)
| min_precedes(X3,X2,X0)
| X2 = X3
| ~ occurrence_of(X1,X0)
| ~ arboreal(X2)
| ~ arboreal(X3)
| ~ subactivity_occurrence(X2,X1)
| min_precedes(X2,X3,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f68]) ).
fof(f143,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f146,plain,
! [X0] :
( occurrence_of(X0,sK5(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f155,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f158,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f161,plain,
! [X0,X1] :
( root(X0,sK10(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f162,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f163,plain,
! [X0,X1] :
( occurrence_of(X1,sK10(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f175,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f179,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,[],[f87]) ).
fof(f184,plain,
! [X0] :
( leaf_occ(sK15(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f185,plain,
! [X0] :
( next_subocc(sK14(X0),sK15(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f186,plain,
! [X0] :
( occurrence_of(sK15(X0),tptp2)
| occurrence_of(sK15(X0),tptp1)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f187,plain,
! [X0] :
( next_subocc(sK13(X0),sK14(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f188,plain,
! [X0] :
( occurrence_of(sK14(X0),tptp4)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f189,plain,
! [X0] :
( root_occ(sK13(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f190,plain,
! [X0] :
( occurrence_of(sK13(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f192,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f36]) ).
fof(f193,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f37]) ).
fof(f194,plain,
atomic(tptp2),
inference(cnf_transformation,[],[f38]) ).
fof(f195,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f39]) ).
fof(f197,plain,
tptp4 != tptp1,
inference(cnf_transformation,[],[f41]) ).
fof(f198,plain,
tptp4 != tptp2,
inference(cnf_transformation,[],[f42]) ).
fof(f201,plain,
tptp1 != tptp2,
inference(cnf_transformation,[],[f45]) ).
fof(f202,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| occurrence_of(X2,tptp2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| min_precedes(X1,sK16(X0,X1),tptp0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| subactivity_occurrence(sK16(X0,X1),X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| occurrence_of(sK16(X0,X1),tptp1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f206,plain,
occurrence_of(sK17,tptp0),
inference(cnf_transformation,[],[f128]) ).
fof(f207,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,sK17)
| ~ occurrence_of(X2,tptp2)
| ~ occurrence_of(X1,tptp3)
| ~ leaf_occ(X2,sK17)
| occurrence_of(X2,tptp1)
| sP0(sK17,X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f210,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,sK17)
| ~ occurrence_of(X2,tptp2)
| ~ occurrence_of(X1,tptp3)
| ~ leaf_occ(X2,sK17)
| occurrence_of(sK18(X1),tptp2)
| sP0(sK17,X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f212,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,sK17)
| ~ occurrence_of(X2,tptp1)
| ~ occurrence_of(X1,tptp3)
| ~ leaf_occ(X2,sK17)
| min_precedes(X1,sK18(X1),tptp0)
| sP0(sK17,X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f213,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,sK17)
| ~ occurrence_of(X2,tptp1)
| ~ occurrence_of(X1,tptp3)
| ~ leaf_occ(X2,sK17)
| subactivity_occurrence(sK18(X1),sK17)
| sP0(sK17,X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f214,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,sK17)
| ~ occurrence_of(X2,tptp1)
| ~ occurrence_of(X1,tptp3)
| ~ leaf_occ(X2,sK17)
| occurrence_of(sK18(X1),tptp2)
| sP0(sK17,X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ root_occ(X0,X1)
| ~ occurrence_of(X1,X2)
| sK10(X0,X1) = X2 ),
inference(resolution,[],[f163,f141]) ).
fof(f227,plain,
! [X0] :
( ~ atomic(tptp3)
| arboreal(sK13(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f155,f190]) ).
fof(f229,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK13(X0)) ),
inference(forward_subsumption_resolution,[],[f227,f195]) ).
fof(f230,plain,
! [X0] :
( occurrence_of(sK15(X0),tptp1)
| ~ occurrence_of(X0,tptp0)
| ~ atomic(tptp2)
| arboreal(sK15(X0)) ),
inference(resolution,[],[f186,f155]) ).
fof(f232,plain,
! [X0] :
( occurrence_of(sK15(X0),tptp1)
| ~ occurrence_of(X0,tptp0)
| arboreal(sK15(X0)) ),
inference(forward_subsumption_resolution,[],[f230,f194]) ).
fof(f234,plain,
arboreal(sK13(sK17)),
inference(resolution,[],[f229,f206]) ).
fof(f235,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ atomic(tptp4)
| arboreal(sK14(X0)) ),
inference(resolution,[],[f188,f155]) ).
fof(f237,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK14(X0)) ),
inference(forward_subsumption_resolution,[],[f235,f192]) ).
fof(f238,plain,
! [X2,X0,X1] :
( min_precedes(X2,sK15(X0),X1)
| ~ subactivity_occurrence(X2,X0)
| sK15(X0) = X2
| ~ arboreal(X2)
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f132,f184]) ).
fof(f243,plain,
! [X0,X1] :
( ~ min_precedes(sK14(X0),X1,tptp0)
| ~ min_precedes(X1,sK15(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f185,f175]) ).
fof(f244,plain,
! [X0] :
( min_precedes(sK14(X0),sK15(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f185,f176]) ).
fof(f248,plain,
! [X0,X1] :
( ~ root_occ(sK15(X0),X1)
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f244,f143]) ).
fof(f252,plain,
! [X0,X1] :
( ~ min_precedes(sK13(X0),X1,tptp0)
| ~ min_precedes(X1,sK14(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f187,f175]) ).
fof(f318,plain,
! [X0,X1] :
( ~ subactivity_occurrence(sK15(X0),X1)
| ~ occurrence_of(X1,tptp0)
| subactivity_occurrence(sK14(X0),X1)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f179,f244]) ).
fof(f339,plain,
! [X0] :
( subactivity_occurrence(sK15(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f158,f184]) ).
fof(f364,plain,
! [X0,X1] :
( ~ activity_occurrence(X0)
| ~ occurrence_of(X0,X1)
| sK5(X0) = X1 ),
inference(resolution,[],[f146,f141]) ).
fof(f369,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| sK5(X0) = X1 ),
inference(forward_subsumption_resolution,[],[f364,f133]) ).
fof(f403,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| subactivity_occurrence(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f318,f339]) ).
fof(f404,plain,
! [X0] :
( subactivity_occurrence(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(duplicate_literal_removal,[],[f403]) ).
fof(f418,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK15(X0))
| ~ atomic(tptp1)
| arboreal(sK15(X0)) ),
inference(resolution,[],[f232,f155]) ).
fof(f420,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK15(X0))
| ~ atomic(tptp1) ),
inference(duplicate_literal_removal,[],[f418]) ).
fof(f422,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK15(X0)) ),
inference(forward_subsumption_resolution,[],[f420,f193]) ).
fof(f480,plain,
! [X0,X1] :
( ~ occurrence_of(X0,tptp0)
| sK10(sK13(X0),X0) = X1
| ~ occurrence_of(X0,X1) ),
inference(resolution,[],[f217,f189]) ).
fof(f482,plain,
! [X0] :
( ~ occurrence_of(sK17,X0)
| sK10(sK13(sK17),sK17) = X0 ),
inference(resolution,[],[f480,f206]) ).
fof(f483,plain,
tptp0 = sK10(sK13(sK17),sK17),
inference(resolution,[],[f482,f206]) ).
fof(f489,plain,
( root(sK13(sK17),tptp0)
| ~ root_occ(sK13(sK17),sK17) ),
inference(superposition,[],[f161,f483]) ).
fof(f492,definition,
( spl19_1
<=> root_occ(sK13(sK17),sK17) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f493,plain,
( root_occ(sK13(sK17),sK17)
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f494,plain,
( ~ root_occ(sK13(sK17),sK17)
| spl19_1 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f496,definition,
( spl19_2
<=> root(sK13(sK17),tptp0) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f498,plain,
( root(sK13(sK17),tptp0)
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f499,plain,
( ~ spl19_1
| spl19_2 ),
inference(avatar_split_clause,[],[f489,f496,f492]) ).
fof(f500,plain,
( ~ occurrence_of(sK17,tptp0)
| spl19_1 ),
inference(resolution,[],[f494,f189]) ).
fof(f501,plain,
( $false
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f500,f206]) ).
fof(f502,plain,
spl19_1,
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f507,plain,
( subactivity_occurrence(sK13(sK17),sK17)
| ~ spl19_1 ),
inference(resolution,[],[f493,f162]) ).
fof(f521,plain,
( ! [X0,X1] :
( min_precedes(sK13(sK17),X0,X1)
| sK13(sK17) = X0
| ~ occurrence_of(sK17,X1)
| ~ arboreal(X0)
| ~ arboreal(sK13(sK17))
| ~ subactivity_occurrence(X0,sK17)
| min_precedes(X0,sK13(sK17),X1) )
| ~ spl19_1 ),
inference(resolution,[],[f507,f134]) ).
fof(f529,plain,
( ! [X0,X1] :
( min_precedes(sK13(sK17),X0,X1)
| min_precedes(X0,sK13(sK17),X1)
| ~ occurrence_of(sK17,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK13(sK17) = X0 )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f521,f234]) ).
fof(f541,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK13(sK17) = X0
| ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(X0,tptp2)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| occurrence_of(X0,tptp1)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(resolution,[],[f529,f207]) ).
fof(f544,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK13(sK17) = X0
| ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(X0,tptp2)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| occurrence_of(sK18(sK13(sK17)),tptp2)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(resolution,[],[f529,f210]) ).
fof(f545,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK13(sK17) = X0
| ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| min_precedes(sK13(sK17),sK18(sK13(sK17)),tptp0)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(resolution,[],[f529,f212]) ).
fof(f546,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK13(sK17) = X0
| ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| subactivity_occurrence(sK18(sK13(sK17)),sK17)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(resolution,[],[f529,f213]) ).
fof(f547,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK13(sK17) = X0
| ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| occurrence_of(sK18(sK13(sK17)),tptp2)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(resolution,[],[f529,f214]) ).
fof(f578,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK13(sK17) = X0
| ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| occurrence_of(sK18(sK13(sK17)),tptp2)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f547,f206]) ).
fof(f579,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ arboreal(X0)
| sK13(sK17) = X0
| ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| subactivity_occurrence(sK18(sK13(sK17)),sK17)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f546,f158]) ).
fof(f580,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK13(sK17) = X0
| ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| min_precedes(sK13(sK17),sK18(sK13(sK17)),tptp0)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f545,f206]) ).
fof(f581,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK13(sK17) = X0
| ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(X0,tptp2)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| occurrence_of(sK18(sK13(sK17)),tptp2)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f544,f206]) ).
fof(f584,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK13(sK17) = X0
| ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(X0,tptp2)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| occurrence_of(X0,tptp1)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f541,f206]) ).
fof(f588,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| occurrence_of(sK18(sK13(sK17)),tptp2)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f578,f493]) ).
fof(f589,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| sK13(sK17) = X0
| ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| subactivity_occurrence(sK18(sK13(sK17)),sK17)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f579,f206]) ).
fof(f590,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| min_precedes(sK13(sK17),sK18(sK13(sK17)),tptp0)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f580,f493]) ).
fof(f591,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp2)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| occurrence_of(sK18(sK13(sK17)),tptp2)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f581,f493]) ).
fof(f594,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp2)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| occurrence_of(X0,tptp1)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f584,f493]) ).
fof(f595,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| occurrence_of(sK18(sK13(sK17)),tptp2)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f588,f158]) ).
fof(f596,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| subactivity_occurrence(sK18(sK13(sK17)),sK17)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f589,f493]) ).
fof(f597,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| min_precedes(sK13(sK17),sK18(sK13(sK17)),tptp0)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f590,f158]) ).
fof(f598,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp2)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| occurrence_of(sK18(sK13(sK17)),tptp2)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f591,f158]) ).
fof(f601,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp2)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(X0,sK17)
| occurrence_of(X0,tptp1)
| sP0(sK17,sK13(sK17),X0) )
| ~ spl19_1 ),
inference(forward_subsumption_resolution,[],[f594,f158]) ).
fof(f603,definition,
( spl19_5
<=> occurrence_of(sK18(sK13(sK17)),tptp2) ),
introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition]) ).
fof(f605,plain,
( occurrence_of(sK18(sK13(sK17)),tptp2)
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f607,definition,
( spl19_6
<=> occurrence_of(sK13(sK17),tptp3) ),
introduced(definition,[new_symbols(definition,[spl19_6])],[avatar_definition]) ).
fof(f608,plain,
( occurrence_of(sK13(sK17),tptp3)
| ~ spl19_6 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f609,plain,
( ~ occurrence_of(sK13(sK17),tptp3)
| spl19_6 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f611,definition,
( spl19_7
<=> ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| sP0(sK17,sK13(sK17),X0)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp1)
| sK13(sK17) = X0
| ~ arboreal(X0) ) ),
introduced(definition,[new_symbols(definition,[spl19_7])],[avatar_definition]) ).
fof(f612,plain,
( ! [X0] :
( sP0(sK17,sK13(sK17),X0)
| min_precedes(X0,sK13(sK17),tptp0)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp1)
| sK13(sK17) = X0
| ~ arboreal(X0) )
| ~ spl19_7 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f613,plain,
( spl19_5
| ~ spl19_6
| spl19_7
| ~ spl19_1 ),
inference(avatar_split_clause,[],[f595,f492,f611,f607,f603]) ).
fof(f615,definition,
( spl19_8
<=> subactivity_occurrence(sK18(sK13(sK17)),sK17) ),
introduced(definition,[new_symbols(definition,[spl19_8])],[avatar_definition]) ).
fof(f617,plain,
( subactivity_occurrence(sK18(sK13(sK17)),sK17)
| ~ spl19_8 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f618,plain,
( spl19_8
| ~ spl19_6
| spl19_7
| ~ spl19_1 ),
inference(avatar_split_clause,[],[f596,f492,f611,f607,f615]) ).
fof(f620,definition,
( spl19_9
<=> min_precedes(sK13(sK17),sK18(sK13(sK17)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl19_9])],[avatar_definition]) ).
fof(f622,plain,
( min_precedes(sK13(sK17),sK18(sK13(sK17)),tptp0)
| ~ spl19_9 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f623,plain,
( spl19_9
| ~ spl19_6
| spl19_7
| ~ spl19_1 ),
inference(avatar_split_clause,[],[f597,f492,f611,f607,f620]) ).
fof(f625,definition,
( spl19_10
<=> ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| sP0(sK17,sK13(sK17),X0)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp2)
| sK13(sK17) = X0
| ~ arboreal(X0) ) ),
introduced(definition,[new_symbols(definition,[spl19_10])],[avatar_definition]) ).
fof(f626,plain,
( ! [X0] :
( sP0(sK17,sK13(sK17),X0)
| min_precedes(X0,sK13(sK17),tptp0)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp2)
| sK13(sK17) = X0
| ~ arboreal(X0) )
| ~ spl19_10 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f627,plain,
( spl19_5
| ~ spl19_6
| spl19_10
| ~ spl19_1 ),
inference(avatar_split_clause,[],[f598,f492,f625,f607,f603]) ).
fof(f631,definition,
( spl19_11
<=> ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| sP0(sK17,sK13(sK17),X0)
| occurrence_of(X0,tptp1)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp2)
| sK13(sK17) = X0
| ~ arboreal(X0) ) ),
introduced(definition,[new_symbols(definition,[spl19_11])],[avatar_definition]) ).
fof(f632,plain,
( ! [X0] :
( sP0(sK17,sK13(sK17),X0)
| min_precedes(X0,sK13(sK17),tptp0)
| occurrence_of(X0,tptp1)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp2)
| sK13(sK17) = X0
| ~ arboreal(X0) )
| ~ spl19_11 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f633,plain,
( ~ spl19_6
| spl19_11
| ~ spl19_1 ),
inference(avatar_split_clause,[],[f601,f492,f631,f607]) ).
fof(f634,plain,
( ~ occurrence_of(sK17,tptp0)
| spl19_6 ),
inference(resolution,[],[f609,f190]) ).
fof(f635,plain,
( $false
| spl19_6 ),
inference(forward_subsumption_resolution,[],[f634,f206]) ).
fof(f636,plain,
spl19_6,
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f649,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp2)
| sK13(sK17) = X0
| ~ arboreal(X0)
| subactivity_occurrence(sK16(sK17,sK13(sK17)),sK17) )
| ~ spl19_10 ),
inference(resolution,[],[f626,f204]) ).
fof(f650,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp2)
| sK13(sK17) = X0
| ~ arboreal(X0)
| occurrence_of(sK16(sK17,sK13(sK17)),tptp1) )
| ~ spl19_10 ),
inference(resolution,[],[f626,f205]) ).
fof(f651,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp2)
| sK13(sK17) = X0
| ~ arboreal(X0)
| min_precedes(sK13(sK17),sK16(sK17,sK13(sK17)),tptp0) )
| ~ spl19_10 ),
inference(resolution,[],[f626,f203]) ).
fof(f653,definition,
( spl19_12
<=> min_precedes(sK13(sK17),sK16(sK17,sK13(sK17)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl19_12])],[avatar_definition]) ).
fof(f654,plain,
( ~ min_precedes(sK13(sK17),sK16(sK17,sK13(sK17)),tptp0)
| spl19_12 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f655,plain,
( min_precedes(sK13(sK17),sK16(sK17,sK13(sK17)),tptp0)
| ~ spl19_12 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f657,definition,
( spl19_13
<=> ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp2)
| ~ leaf_occ(X0,sK17) ) ),
introduced(definition,[new_symbols(definition,[spl19_13])],[avatar_definition]) ).
fof(f658,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ arboreal(X0)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp2)
| ~ leaf_occ(X0,sK17) )
| ~ spl19_13 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f659,plain,
( spl19_12
| spl19_13
| ~ spl19_10 ),
inference(avatar_split_clause,[],[f651,f625,f657,f653]) ).
fof(f661,definition,
( spl19_14
<=> occurrence_of(sK16(sK17,sK13(sK17)),tptp1) ),
introduced(definition,[new_symbols(definition,[spl19_14])],[avatar_definition]) ).
fof(f662,plain,
( ~ occurrence_of(sK16(sK17,sK13(sK17)),tptp1)
| spl19_14 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f663,plain,
( occurrence_of(sK16(sK17,sK13(sK17)),tptp1)
| ~ spl19_14 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f664,plain,
( spl19_14
| spl19_13
| ~ spl19_10 ),
inference(avatar_split_clause,[],[f650,f625,f657,f661]) ).
fof(f666,definition,
( spl19_15
<=> subactivity_occurrence(sK16(sK17,sK13(sK17)),sK17) ),
introduced(definition,[new_symbols(definition,[spl19_15])],[avatar_definition]) ).
fof(f667,plain,
( ~ subactivity_occurrence(sK16(sK17,sK13(sK17)),sK17)
| spl19_15 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f668,plain,
( subactivity_occurrence(sK16(sK17,sK13(sK17)),sK17)
| ~ spl19_15 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f669,plain,
( spl19_15
| spl19_13
| ~ spl19_10 ),
inference(avatar_split_clause,[],[f649,f625,f657,f666]) ).
fof(f683,plain,
( ! [X0] :
( ~ arboreal(X0)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp2)
| ~ leaf_occ(X0,sK17)
| ~ root(sK13(sK17),tptp0) )
| ~ spl19_13 ),
inference(resolution,[],[f658,f169]) ).
fof(f696,definition,
( spl19_17
<=> ! [X0] :
( ~ arboreal(X0)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp2)
| sK13(sK17) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl19_17])],[avatar_definition]) ).
fof(f697,plain,
( ! [X0] :
( ~ leaf_occ(X0,sK17)
| ~ arboreal(X0)
| ~ occurrence_of(X0,tptp2)
| sK13(sK17) = X0 )
| ~ spl19_17 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f699,plain,
( ! [X0] :
( ~ arboreal(X0)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp2)
| ~ leaf_occ(X0,sK17) )
| ~ spl19_2
| ~ spl19_13 ),
inference(forward_subsumption_resolution,[],[f683,f498]) ).
fof(f704,plain,
( spl19_17
| ~ spl19_2
| ~ spl19_13 ),
inference(avatar_split_clause,[],[f699,f657,f496,f696]) ).
fof(f705,plain,
( ~ min_precedes(sK16(sK17,sK13(sK17)),sK14(sK17),tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_12 ),
inference(resolution,[],[f655,f252]) ).
fof(f710,plain,
( ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(sK16(sK17,sK13(sK17)),tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(sK16(sK17,sK13(sK17)),sK17)
| min_precedes(sK13(sK17),sK18(sK13(sK17)),tptp0)
| sP0(sK17,sK13(sK17),sK16(sK17,sK13(sK17)))
| ~ spl19_12 ),
inference(resolution,[],[f655,f212]) ).
fof(f711,plain,
( ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(sK16(sK17,sK13(sK17)),tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(sK16(sK17,sK13(sK17)),sK17)
| subactivity_occurrence(sK18(sK13(sK17)),sK17)
| sP0(sK17,sK13(sK17),sK16(sK17,sK13(sK17)))
| ~ spl19_12 ),
inference(resolution,[],[f655,f213]) ).
fof(f712,plain,
( ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(sK16(sK17,sK13(sK17)),tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(sK16(sK17,sK13(sK17)),sK17)
| occurrence_of(sK18(sK13(sK17)),tptp2)
| sP0(sK17,sK13(sK17),sK16(sK17,sK13(sK17)))
| ~ spl19_12 ),
inference(resolution,[],[f655,f214]) ).
fof(f723,plain,
( ~ occurrence_of(sK16(sK17,sK13(sK17)),tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(sK16(sK17,sK13(sK17)),sK17)
| occurrence_of(sK18(sK13(sK17)),tptp2)
| sP0(sK17,sK13(sK17),sK16(sK17,sK13(sK17)))
| ~ spl19_1
| ~ spl19_12 ),
inference(forward_subsumption_resolution,[],[f712,f493]) ).
fof(f724,plain,
( ~ occurrence_of(sK16(sK17,sK13(sK17)),tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(sK16(sK17,sK13(sK17)),sK17)
| subactivity_occurrence(sK18(sK13(sK17)),sK17)
| sP0(sK17,sK13(sK17),sK16(sK17,sK13(sK17)))
| ~ spl19_1
| ~ spl19_12 ),
inference(forward_subsumption_resolution,[],[f711,f493]) ).
fof(f725,plain,
( ~ occurrence_of(sK16(sK17,sK13(sK17)),tptp1)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(sK16(sK17,sK13(sK17)),sK17)
| min_precedes(sK13(sK17),sK18(sK13(sK17)),tptp0)
| sP0(sK17,sK13(sK17),sK16(sK17,sK13(sK17)))
| ~ spl19_1
| ~ spl19_12 ),
inference(forward_subsumption_resolution,[],[f710,f493]) ).
fof(f730,plain,
( ~ min_precedes(sK16(sK17,sK13(sK17)),sK14(sK17),tptp0)
| ~ spl19_12 ),
inference(forward_subsumption_resolution,[],[f705,f206]) ).
fof(f731,plain,
( ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(sK16(sK17,sK13(sK17)),sK17)
| occurrence_of(sK18(sK13(sK17)),tptp2)
| sP0(sK17,sK13(sK17),sK16(sK17,sK13(sK17)))
| ~ spl19_1
| ~ spl19_12
| ~ spl19_14 ),
inference(forward_subsumption_resolution,[],[f723,f663]) ).
fof(f732,plain,
( ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(sK16(sK17,sK13(sK17)),sK17)
| subactivity_occurrence(sK18(sK13(sK17)),sK17)
| sP0(sK17,sK13(sK17),sK16(sK17,sK13(sK17)))
| ~ spl19_1
| ~ spl19_12
| ~ spl19_14 ),
inference(forward_subsumption_resolution,[],[f724,f663]) ).
fof(f733,plain,
( ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(sK16(sK17,sK13(sK17)),sK17)
| min_precedes(sK13(sK17),sK18(sK13(sK17)),tptp0)
| sP0(sK17,sK13(sK17),sK16(sK17,sK13(sK17)))
| ~ spl19_1
| ~ spl19_12
| ~ spl19_14 ),
inference(forward_subsumption_resolution,[],[f725,f663]) ).
fof(f737,plain,
( ~ leaf_occ(sK16(sK17,sK13(sK17)),sK17)
| occurrence_of(sK18(sK13(sK17)),tptp2)
| sP0(sK17,sK13(sK17),sK16(sK17,sK13(sK17)))
| ~ spl19_1
| ~ spl19_6
| ~ spl19_12
| ~ spl19_14 ),
inference(forward_subsumption_resolution,[],[f731,f608]) ).
fof(f738,plain,
( ~ leaf_occ(sK16(sK17,sK13(sK17)),sK17)
| subactivity_occurrence(sK18(sK13(sK17)),sK17)
| sP0(sK17,sK13(sK17),sK16(sK17,sK13(sK17)))
| ~ spl19_1
| ~ spl19_6
| ~ spl19_12
| ~ spl19_14 ),
inference(forward_subsumption_resolution,[],[f732,f608]) ).
fof(f739,plain,
( ~ leaf_occ(sK16(sK17,sK13(sK17)),sK17)
| min_precedes(sK13(sK17),sK18(sK13(sK17)),tptp0)
| sP0(sK17,sK13(sK17),sK16(sK17,sK13(sK17)))
| ~ spl19_1
| ~ spl19_6
| ~ spl19_12
| ~ spl19_14 ),
inference(forward_subsumption_resolution,[],[f733,f608]) ).
fof(f741,definition,
( spl19_19
<=> sP0(sK17,sK13(sK17),sK16(sK17,sK13(sK17))) ),
introduced(definition,[new_symbols(definition,[spl19_19])],[avatar_definition]) ).
fof(f743,plain,
( sP0(sK17,sK13(sK17),sK16(sK17,sK13(sK17)))
| ~ spl19_19 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f745,definition,
( spl19_20
<=> leaf_occ(sK16(sK17,sK13(sK17)),sK17) ),
introduced(definition,[new_symbols(definition,[spl19_20])],[avatar_definition]) ).
fof(f747,plain,
( ~ leaf_occ(sK16(sK17,sK13(sK17)),sK17)
| spl19_20 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f755,plain,
( spl19_19
| spl19_5
| ~ spl19_20
| ~ spl19_1
| ~ spl19_6
| ~ spl19_12
| ~ spl19_14 ),
inference(avatar_split_clause,[],[f737,f661,f653,f607,f492,f745,f603,f741]) ).
fof(f756,plain,
( spl19_19
| spl19_8
| ~ spl19_20
| ~ spl19_1
| ~ spl19_6
| ~ spl19_12
| ~ spl19_14 ),
inference(avatar_split_clause,[],[f738,f661,f653,f607,f492,f745,f615,f741]) ).
fof(f757,plain,
( spl19_19
| spl19_9
| ~ spl19_20
| ~ spl19_1
| ~ spl19_6
| ~ spl19_12
| ~ spl19_14 ),
inference(avatar_split_clause,[],[f739,f661,f653,f607,f492,f745,f620,f741]) ).
fof(f763,plain,
( ! [X0,X1] :
( min_precedes(sK16(sK17,sK13(sK17)),X0,X1)
| sK16(sK17,sK13(sK17)) = X0
| ~ occurrence_of(sK17,X1)
| ~ arboreal(X0)
| ~ arboreal(sK16(sK17,sK13(sK17)))
| ~ subactivity_occurrence(X0,sK17)
| min_precedes(X0,sK16(sK17,sK13(sK17)),X1) )
| ~ spl19_15 ),
inference(resolution,[],[f668,f134]) ).
fof(f765,definition,
( spl19_22
<=> arboreal(sK16(sK17,sK13(sK17))) ),
introduced(definition,[new_symbols(definition,[spl19_22])],[avatar_definition]) ).
fof(f766,plain,
( arboreal(sK16(sK17,sK13(sK17)))
| ~ spl19_22 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f769,definition,
( spl19_23
<=> ! [X0,X1] :
( min_precedes(sK16(sK17,sK13(sK17)),X0,X1)
| min_precedes(X0,sK16(sK17,sK13(sK17)),X1)
| ~ subactivity_occurrence(X0,sK17)
| ~ arboreal(X0)
| ~ occurrence_of(sK17,X1)
| sK16(sK17,sK13(sK17)) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl19_23])],[avatar_definition]) ).
fof(f770,plain,
( ! [X0,X1] :
( min_precedes(sK16(sK17,sK13(sK17)),X0,X1)
| min_precedes(X0,sK16(sK17,sK13(sK17)),X1)
| ~ subactivity_occurrence(X0,sK17)
| ~ arboreal(X0)
| ~ occurrence_of(sK17,X1)
| sK16(sK17,sK13(sK17)) = X0 )
| ~ spl19_23 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f771,plain,
( ~ spl19_22
| spl19_23
| ~ spl19_15 ),
inference(avatar_split_clause,[],[f763,f666,f769,f765]) ).
fof(f783,definition,
( spl19_26
<=> sK15(sK17) = sK16(sK17,sK13(sK17)) ),
introduced(definition,[new_symbols(definition,[spl19_26])],[avatar_definition]) ).
fof(f784,plain,
( sK15(sK17) != sK16(sK17,sK13(sK17))
| spl19_26 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f785,plain,
( sK15(sK17) = sK16(sK17,sK13(sK17))
| ~ spl19_26 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f800,plain,
( ~ atomic(tptp1)
| arboreal(sK16(sK17,sK13(sK17)))
| ~ spl19_14 ),
inference(resolution,[],[f663,f155]) ).
fof(f802,plain,
( arboreal(sK16(sK17,sK13(sK17)))
| ~ spl19_14 ),
inference(forward_subsumption_resolution,[],[f800,f193]) ).
fof(f803,plain,
( spl19_22
| ~ spl19_14 ),
inference(avatar_split_clause,[],[f802,f661,f765]) ).
fof(f833,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp1)
| sK13(sK17) = X0
| ~ arboreal(X0)
| occurrence_of(X0,tptp2) )
| ~ spl19_7 ),
inference(resolution,[],[f612,f202]) ).
fof(f839,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp1)
| sK13(sK17) = X0
| ~ arboreal(X0) )
| ~ spl19_7
| ~ spl19_13 ),
inference(forward_subsumption_resolution,[],[f833,f658]) ).
fof(f862,definition,
( spl19_31
<=> ! [X0] :
( ~ leaf_occ(X0,sK17)
| ~ arboreal(X0)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp1) ) ),
introduced(definition,[new_symbols(definition,[spl19_31])],[avatar_definition]) ).
fof(f863,plain,
( ! [X0] :
( ~ leaf_occ(X0,sK17)
| ~ arboreal(X0)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp1) )
| ~ spl19_31 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f869,plain,
( tptp1 = sK5(sK16(sK17,sK13(sK17)))
| ~ spl19_14 ),
inference(resolution,[],[f663,f369]) ).
fof(f872,plain,
( ! [X0] :
( ~ occurrence_of(sK16(sK17,sK13(sK17)),X0)
| tptp1 = X0 )
| ~ spl19_14 ),
inference(resolution,[],[f663,f141]) ).
fof(f904,plain,
( occurrence_of(sK15(sK17),tptp1)
| ~ spl19_14
| ~ spl19_26 ),
inference(superposition,[],[f663,f785]) ).
fof(f909,plain,
( tptp1 = sK5(sK15(sK17))
| ~ spl19_14
| ~ spl19_26 ),
inference(superposition,[],[f869,f785]) ).
fof(f941,definition,
( spl19_32
<=> root_occ(sK15(sK17),sK17) ),
introduced(definition,[new_symbols(definition,[spl19_32])],[avatar_definition]) ).
fof(f943,plain,
( root_occ(sK15(sK17),sK17)
| ~ spl19_32 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f975,plain,
( ! [X0] :
( ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp1)
| sK13(sK17) = X0
| ~ arboreal(X0)
| ~ root(sK13(sK17),tptp0) )
| ~ spl19_7
| ~ spl19_13 ),
inference(resolution,[],[f839,f169]) ).
fof(f984,plain,
( ! [X0] :
( ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp1)
| sK13(sK17) = X0
| ~ arboreal(X0) )
| ~ spl19_2
| ~ spl19_7
| ~ spl19_13 ),
inference(forward_subsumption_resolution,[],[f975,f498]) ).
fof(f986,plain,
( spl19_31
| ~ spl19_2
| ~ spl19_7
| ~ spl19_13 ),
inference(avatar_split_clause,[],[f984,f657,f611,f496,f862]) ).
fof(f1005,plain,
( min_precedes(sK14(sK17),sK16(sK17,sK13(sK17)),tptp0)
| ~ subactivity_occurrence(sK14(sK17),sK17)
| ~ arboreal(sK14(sK17))
| ~ occurrence_of(sK17,tptp0)
| sK14(sK17) = sK16(sK17,sK13(sK17))
| ~ spl19_12
| ~ spl19_23 ),
inference(resolution,[],[f770,f730]) ).
fof(f1031,plain,
( min_precedes(sK14(sK17),sK16(sK17,sK13(sK17)),tptp0)
| ~ arboreal(sK14(sK17))
| ~ occurrence_of(sK17,tptp0)
| sK14(sK17) = sK16(sK17,sK13(sK17))
| ~ spl19_12
| ~ spl19_23 ),
inference(forward_subsumption_resolution,[],[f1005,f404]) ).
fof(f1036,plain,
( min_precedes(sK14(sK17),sK16(sK17,sK13(sK17)),tptp0)
| ~ occurrence_of(sK17,tptp0)
| sK14(sK17) = sK16(sK17,sK13(sK17))
| ~ spl19_12
| ~ spl19_23 ),
inference(forward_subsumption_resolution,[],[f1031,f237]) ).
fof(f1037,plain,
( min_precedes(sK14(sK17),sK16(sK17,sK13(sK17)),tptp0)
| sK14(sK17) = sK16(sK17,sK13(sK17))
| ~ spl19_12
| ~ spl19_23 ),
inference(forward_subsumption_resolution,[],[f1036,f206]) ).
fof(f1039,definition,
( spl19_35
<=> sK14(sK17) = sK16(sK17,sK13(sK17)) ),
introduced(definition,[new_symbols(definition,[spl19_35])],[avatar_definition]) ).
fof(f1041,plain,
( sK14(sK17) = sK16(sK17,sK13(sK17))
| ~ spl19_35 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1043,definition,
( spl19_36
<=> min_precedes(sK14(sK17),sK16(sK17,sK13(sK17)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl19_36])],[avatar_definition]) ).
fof(f1045,plain,
( min_precedes(sK14(sK17),sK16(sK17,sK13(sK17)),tptp0)
| ~ spl19_36 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1100,plain,
( ~ arboreal(sK15(sK17))
| ~ occurrence_of(sK15(sK17),tptp2)
| sK13(sK17) = sK15(sK17)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_17 ),
inference(resolution,[],[f697,f184]) ).
fof(f1101,plain,
( ~ occurrence_of(sK15(sK17),tptp2)
| sK13(sK17) = sK15(sK17)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_17 ),
inference(forward_subsumption_resolution,[],[f1100,f422]) ).
fof(f1102,plain,
( ~ occurrence_of(sK15(sK17),tptp2)
| sK13(sK17) = sK15(sK17)
| ~ spl19_17 ),
inference(forward_subsumption_resolution,[],[f1101,f206]) ).
fof(f1104,definition,
( spl19_42
<=> sK13(sK17) = sK15(sK17) ),
introduced(definition,[new_symbols(definition,[spl19_42])],[avatar_definition]) ).
fof(f1105,plain,
( sK13(sK17) != sK15(sK17)
| spl19_42 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1106,plain,
( sK13(sK17) = sK15(sK17)
| ~ spl19_42 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1108,definition,
( spl19_43
<=> occurrence_of(sK15(sK17),tptp2) ),
introduced(definition,[new_symbols(definition,[spl19_43])],[avatar_definition]) ).
fof(f1109,plain,
( occurrence_of(sK15(sK17),tptp2)
| ~ spl19_43 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f1110,plain,
( ~ occurrence_of(sK15(sK17),tptp2)
| spl19_43 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f1111,plain,
( spl19_42
| ~ spl19_43
| ~ spl19_17 ),
inference(avatar_split_clause,[],[f1102,f696,f1108,f1104]) ).
fof(f1112,plain,
( occurrence_of(sK15(sK17),tptp1)
| ~ occurrence_of(sK17,tptp0)
| spl19_43 ),
inference(resolution,[],[f1110,f186]) ).
fof(f1113,plain,
( occurrence_of(sK15(sK17),tptp1)
| spl19_43 ),
inference(forward_subsumption_resolution,[],[f1112,f206]) ).
fof(f1131,plain,
( ~ arboreal(sK15(sK17))
| sK13(sK17) = sK15(sK17)
| ~ occurrence_of(sK15(sK17),tptp1)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_31 ),
inference(resolution,[],[f863,f184]) ).
fof(f1132,plain,
( sK13(sK17) = sK15(sK17)
| ~ occurrence_of(sK15(sK17),tptp1)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_31 ),
inference(forward_subsumption_resolution,[],[f1131,f422]) ).
fof(f1133,plain,
( sK13(sK17) = sK15(sK17)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_31
| spl19_43 ),
inference(forward_subsumption_resolution,[],[f1132,f1113]) ).
fof(f1134,plain,
( sK13(sK17) = sK15(sK17)
| ~ spl19_31
| spl19_43 ),
inference(forward_subsumption_resolution,[],[f1133,f206]) ).
fof(f1135,plain,
( spl19_42
| ~ spl19_31
| spl19_43 ),
inference(avatar_split_clause,[],[f1134,f1108,f862,f1104]) ).
fof(f1167,plain,
( root_occ(sK15(sK17),sK17)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_42 ),
inference(superposition,[],[f189,f1106]) ).
fof(f1177,plain,
( root_occ(sK15(sK17),sK17)
| ~ spl19_42 ),
inference(forward_subsumption_resolution,[],[f1167,f206]) ).
fof(f1181,plain,
( spl19_32
| ~ spl19_42 ),
inference(avatar_split_clause,[],[f1177,f1104,f941]) ).
fof(f1187,plain,
( tptp2 = sK5(sK15(sK17))
| ~ spl19_43 ),
inference(resolution,[],[f1109,f369]) ).
fof(f1195,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| sP0(sK17,sK13(sK17),X0)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp2)
| sK13(sK17) = X0
| ~ arboreal(X0) )
| ~ spl19_7
| ~ spl19_11 ),
inference(forward_subsumption_resolution,[],[f632,f612]) ).
fof(f1197,plain,
( spl19_10
| ~ spl19_7
| ~ spl19_11 ),
inference(avatar_split_clause,[],[f1195,f631,f611,f625]) ).
fof(f1198,plain,
( spl19_35
| spl19_36
| ~ spl19_12
| ~ spl19_23 ),
inference(avatar_split_clause,[],[f1037,f769,f653,f1043,f1039]) ).
fof(f1213,plain,
( ! [X0] :
( ~ occurrence_of(sK14(sK17),X0)
| tptp1 = X0 )
| ~ spl19_14
| ~ spl19_35 ),
inference(superposition,[],[f872,f1041]) ).
fof(f1215,plain,
( ~ min_precedes(sK18(sK13(sK17)),sK14(sK17),tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_9 ),
inference(resolution,[],[f622,f252]) ).
fof(f1235,plain,
( ~ min_precedes(sK18(sK13(sK17)),sK14(sK17),tptp0)
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f1215,f206]) ).
fof(f1252,plain,
( tptp2 = sK5(sK18(sK13(sK17)))
| ~ spl19_5 ),
inference(resolution,[],[f605,f369]) ).
fof(f1254,plain,
( ~ atomic(tptp2)
| arboreal(sK18(sK13(sK17)))
| ~ spl19_5 ),
inference(resolution,[],[f605,f155]) ).
fof(f1255,plain,
( ! [X0] :
( ~ occurrence_of(sK18(sK13(sK17)),X0)
| tptp2 = X0 )
| ~ spl19_5 ),
inference(resolution,[],[f605,f141]) ).
fof(f1256,plain,
( arboreal(sK18(sK13(sK17)))
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f1254,f194]) ).
fof(f1257,plain,
( tptp4 = tptp1
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_14
| ~ spl19_35 ),
inference(resolution,[],[f1213,f188]) ).
fof(f1261,plain,
( ~ occurrence_of(sK17,tptp0)
| ~ spl19_14
| ~ spl19_35 ),
inference(forward_subsumption_resolution,[],[f1257,f197]) ).
fof(f1262,plain,
( $false
| ~ spl19_14
| ~ spl19_35 ),
inference(forward_subsumption_resolution,[],[f1261,f206]) ).
fof(f1263,plain,
( ~ spl19_14
| ~ spl19_35 ),
inference(avatar_contradiction_clause,[],[f1262]) ).
fof(f1275,plain,
( ! [X0,X1] :
( min_precedes(sK18(sK13(sK17)),X0,X1)
| sK18(sK13(sK17)) = X0
| ~ occurrence_of(sK17,X1)
| ~ arboreal(X0)
| ~ arboreal(sK18(sK13(sK17)))
| ~ subactivity_occurrence(X0,sK17)
| min_precedes(X0,sK18(sK13(sK17)),X1) )
| ~ spl19_8 ),
inference(resolution,[],[f617,f134]) ).
fof(f1276,plain,
( ! [X0,X1] :
( min_precedes(sK18(sK13(sK17)),X0,X1)
| min_precedes(X0,sK18(sK13(sK17)),X1)
| ~ occurrence_of(sK17,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,sK17)
| sK18(sK13(sK17)) = X0 )
| ~ spl19_5
| ~ spl19_8 ),
inference(forward_subsumption_resolution,[],[f1275,f1256]) ).
fof(f1290,definition,
( spl19_49
<=> sK15(sK17) = sK18(sK13(sK17)) ),
introduced(definition,[new_symbols(definition,[spl19_49])],[avatar_definition]) ).
fof(f1291,plain,
( sK15(sK17) != sK18(sK13(sK17))
| spl19_49 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1292,plain,
( sK15(sK17) = sK18(sK13(sK17))
| ~ spl19_49 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1305,plain,
( occurrence_of(sK15(sK17),tptp2)
| ~ spl19_5
| ~ spl19_49 ),
inference(superposition,[],[f605,f1292]) ).
fof(f1306,plain,
( min_precedes(sK13(sK17),sK15(sK17),tptp0)
| ~ spl19_9
| ~ spl19_49 ),
inference(superposition,[],[f622,f1292]) ).
fof(f1314,plain,
( ~ occurrence_of(sK17,tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_32 ),
inference(resolution,[],[f943,f248]) ).
fof(f1320,plain,
( ~ occurrence_of(sK17,tptp0)
| ~ spl19_32 ),
inference(duplicate_literal_removal,[],[f1314]) ).
fof(f1327,plain,
( $false
| ~ spl19_32 ),
inference(forward_subsumption_resolution,[],[f1320,f206]) ).
fof(f1328,plain,
~ spl19_32,
inference(avatar_contradiction_clause,[],[f1327]) ).
fof(f1389,plain,
( min_precedes(sK14(sK17),sK18(sK13(sK17)),tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ arboreal(sK14(sK17))
| ~ subactivity_occurrence(sK14(sK17),sK17)
| sK14(sK17) = sK18(sK13(sK17))
| ~ spl19_5
| ~ spl19_8
| ~ spl19_9 ),
inference(resolution,[],[f1276,f1235]) ).
fof(f1425,plain,
( min_precedes(sK14(sK17),sK18(sK13(sK17)),tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ subactivity_occurrence(sK14(sK17),sK17)
| sK14(sK17) = sK18(sK13(sK17))
| ~ spl19_5
| ~ spl19_8
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f1389,f237]) ).
fof(f1447,plain,
( min_precedes(sK14(sK17),sK18(sK13(sK17)),tptp0)
| ~ occurrence_of(sK17,tptp0)
| sK14(sK17) = sK18(sK13(sK17))
| ~ spl19_5
| ~ spl19_8
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f1425,f404]) ).
fof(f1467,plain,
( min_precedes(sK14(sK17),sK18(sK13(sK17)),tptp0)
| sK14(sK17) = sK18(sK13(sK17))
| ~ spl19_5
| ~ spl19_8
| ~ spl19_9 ),
inference(forward_subsumption_resolution,[],[f1447,f206]) ).
fof(f1554,plain,
( tptp2 = sK5(sK15(sK17))
| ~ spl19_5
| ~ spl19_49 ),
inference(superposition,[],[f1252,f1292]) ).
fof(f1684,plain,
( ~ min_precedes(sK16(sK17,sK13(sK17)),sK15(sK17),tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_36 ),
inference(resolution,[],[f1045,f243]) ).
fof(f1702,plain,
( ~ min_precedes(sK16(sK17,sK13(sK17)),sK15(sK17),tptp0)
| ~ spl19_36 ),
inference(forward_subsumption_resolution,[],[f1684,f206]) ).
fof(f1831,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| occurrence_of(X0,tptp1)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp2)
| sK13(sK17) = X0
| ~ arboreal(X0)
| min_precedes(sK13(sK17),sK16(sK17,sK13(sK17)),tptp0) )
| ~ spl19_11 ),
inference(resolution,[],[f632,f203]) ).
fof(f1832,plain,
( ! [X0] :
( min_precedes(X0,sK13(sK17),tptp0)
| occurrence_of(X0,tptp1)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp2)
| sK13(sK17) = X0
| ~ arboreal(X0) )
| ~ spl19_11
| spl19_12 ),
inference(forward_subsumption_resolution,[],[f1831,f654]) ).
fof(f1850,plain,
( ! [X0] :
( occurrence_of(X0,tptp1)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp2)
| sK13(sK17) = X0
| ~ arboreal(X0)
| ~ root(sK13(sK17),tptp0) )
| ~ spl19_11
| spl19_12 ),
inference(resolution,[],[f1832,f169]) ).
fof(f1859,definition,
( spl19_60
<=> ! [X0] :
( occurrence_of(X0,tptp1)
| ~ arboreal(X0)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp2)
| ~ leaf_occ(X0,sK17) ) ),
introduced(definition,[new_symbols(definition,[spl19_60])],[avatar_definition]) ).
fof(f1860,plain,
( ! [X0] :
( ~ leaf_occ(X0,sK17)
| ~ arboreal(X0)
| sK13(sK17) = X0
| ~ occurrence_of(X0,tptp2)
| occurrence_of(X0,tptp1) )
| ~ spl19_60 ),
inference(avatar_component_clause,[],[f1859]) ).
fof(f1862,plain,
( ! [X0] :
( occurrence_of(X0,tptp1)
| ~ leaf_occ(X0,sK17)
| ~ occurrence_of(X0,tptp2)
| sK13(sK17) = X0
| ~ arboreal(X0) )
| ~ spl19_2
| ~ spl19_11
| spl19_12 ),
inference(forward_subsumption_resolution,[],[f1850,f498]) ).
fof(f1865,plain,
( spl19_60
| ~ spl19_2
| ~ spl19_11
| spl19_12 ),
inference(avatar_split_clause,[],[f1862,f653,f631,f496,f1859]) ).
fof(f1967,plain,
( ~ arboreal(sK15(sK17))
| sK13(sK17) = sK15(sK17)
| ~ occurrence_of(sK15(sK17),tptp2)
| occurrence_of(sK15(sK17),tptp1)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_60 ),
inference(resolution,[],[f1860,f184]) ).
fof(f1968,plain,
( sK13(sK17) = sK15(sK17)
| ~ occurrence_of(sK15(sK17),tptp2)
| occurrence_of(sK15(sK17),tptp1)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_60 ),
inference(forward_subsumption_resolution,[],[f1967,f232]) ).
fof(f1969,plain,
( sK13(sK17) = sK15(sK17)
| occurrence_of(sK15(sK17),tptp1)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_60 ),
inference(forward_subsumption_resolution,[],[f1968,f186]) ).
fof(f1970,plain,
( occurrence_of(sK15(sK17),tptp1)
| ~ occurrence_of(sK17,tptp0)
| spl19_42
| ~ spl19_60 ),
inference(forward_subsumption_resolution,[],[f1969,f1105]) ).
fof(f1971,plain,
( occurrence_of(sK15(sK17),tptp1)
| spl19_42
| ~ spl19_60 ),
inference(forward_subsumption_resolution,[],[f1970,f206]) ).
fof(f1976,plain,
( tptp1 = sK5(sK15(sK17))
| spl19_42
| ~ spl19_60 ),
inference(resolution,[],[f1971,f369]) ).
fof(f1980,plain,
( tptp1 = tptp2
| spl19_42
| ~ spl19_43
| ~ spl19_60 ),
inference(forward_demodulation,[],[f1976,f1187]) ).
fof(f1983,plain,
( $false
| spl19_42
| ~ spl19_43
| ~ spl19_60 ),
inference(forward_subsumption_resolution,[],[f1980,f201]) ).
fof(f1984,plain,
( spl19_42
| ~ spl19_43
| ~ spl19_60 ),
inference(avatar_contradiction_clause,[],[f1983]) ).
fof(f1985,plain,
( $false
| ~ spl19_5
| spl19_43
| ~ spl19_49 ),
inference(forward_subsumption_resolution,[],[f1305,f1110]) ).
fof(f1986,plain,
( ~ spl19_5
| spl19_43
| ~ spl19_49 ),
inference(avatar_contradiction_clause,[],[f1985]) ).
fof(f1987,plain,
( tptp1 = tptp2
| ~ spl19_5
| spl19_42
| ~ spl19_49
| ~ spl19_60 ),
inference(forward_demodulation,[],[f1976,f1554]) ).
fof(f1988,plain,
( $false
| ~ spl19_5
| spl19_42
| ~ spl19_49
| ~ spl19_60 ),
inference(forward_subsumption_resolution,[],[f1987,f201]) ).
fof(f1989,plain,
( ~ spl19_5
| spl19_42
| ~ spl19_49
| ~ spl19_60 ),
inference(avatar_contradiction_clause,[],[f1988]) ).
fof(f1991,definition,
( spl19_70
<=> sK14(sK17) = sK18(sK13(sK17)) ),
introduced(definition,[new_symbols(definition,[spl19_70])],[avatar_definition]) ).
fof(f1993,plain,
( sK14(sK17) = sK18(sK13(sK17))
| ~ spl19_70 ),
inference(avatar_component_clause,[],[f1991]) ).
fof(f1995,definition,
( spl19_71
<=> min_precedes(sK14(sK17),sK18(sK13(sK17)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl19_71])],[avatar_definition]) ).
fof(f1997,plain,
( min_precedes(sK14(sK17),sK18(sK13(sK17)),tptp0)
| ~ spl19_71 ),
inference(avatar_component_clause,[],[f1995]) ).
fof(f1998,plain,
( spl19_70
| spl19_71
| ~ spl19_5
| ~ spl19_8
| ~ spl19_9 ),
inference(avatar_split_clause,[],[f1467,f620,f615,f603,f1995,f1991]) ).
fof(f2049,definition,
( spl19_82
<=> leaf_occ(sK15(sK17),sK17) ),
introduced(definition,[new_symbols(definition,[spl19_82])],[avatar_definition]) ).
fof(f2050,plain,
( leaf_occ(sK15(sK17),sK17)
| ~ spl19_82 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f2051,plain,
( ~ leaf_occ(sK15(sK17),sK17)
| spl19_82 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f2092,plain,
( ! [X0] :
( ~ occurrence_of(sK14(sK17),X0)
| tptp2 = X0 )
| ~ spl19_5
| ~ spl19_70 ),
inference(superposition,[],[f1255,f1993]) ).
fof(f2103,plain,
( tptp4 = tptp2
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_5
| ~ spl19_70 ),
inference(resolution,[],[f2092,f188]) ).
fof(f2108,plain,
( ~ occurrence_of(sK17,tptp0)
| ~ spl19_5
| ~ spl19_70 ),
inference(forward_subsumption_resolution,[],[f2103,f198]) ).
fof(f2109,plain,
( $false
| ~ spl19_5
| ~ spl19_70 ),
inference(forward_subsumption_resolution,[],[f2108,f206]) ).
fof(f2110,plain,
( ~ spl19_5
| ~ spl19_70 ),
inference(avatar_contradiction_clause,[],[f2109]) ).
fof(f2111,plain,
( ~ min_precedes(sK18(sK13(sK17)),sK15(sK17),tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_71 ),
inference(resolution,[],[f1997,f243]) ).
fof(f2129,plain,
( ~ min_precedes(sK18(sK13(sK17)),sK15(sK17),tptp0)
| ~ spl19_71 ),
inference(forward_subsumption_resolution,[],[f2111,f206]) ).
fof(f2140,plain,
( ~ subactivity_occurrence(sK18(sK13(sK17)),sK17)
| sK15(sK17) = sK18(sK13(sK17))
| ~ arboreal(sK18(sK13(sK17)))
| ~ occurrence_of(sK17,tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_71 ),
inference(resolution,[],[f2129,f238]) ).
fof(f2142,plain,
( ~ subactivity_occurrence(sK18(sK13(sK17)),sK17)
| sK15(sK17) = sK18(sK13(sK17))
| ~ arboreal(sK18(sK13(sK17)))
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_71 ),
inference(duplicate_literal_removal,[],[f2140]) ).
fof(f2144,plain,
( sK15(sK17) = sK18(sK13(sK17))
| ~ arboreal(sK18(sK13(sK17)))
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_8
| ~ spl19_71 ),
inference(forward_subsumption_resolution,[],[f2142,f617]) ).
fof(f2146,plain,
( ~ arboreal(sK18(sK13(sK17)))
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_8
| spl19_49
| ~ spl19_71 ),
inference(forward_subsumption_resolution,[],[f2144,f1291]) ).
fof(f2148,plain,
( ~ occurrence_of(sK17,tptp0)
| ~ spl19_5
| ~ spl19_8
| spl19_49
| ~ spl19_71 ),
inference(forward_subsumption_resolution,[],[f2146,f1256]) ).
fof(f2150,plain,
( $false
| ~ spl19_5
| ~ spl19_8
| spl19_49
| ~ spl19_71 ),
inference(forward_subsumption_resolution,[],[f2148,f206]) ).
fof(f2151,plain,
( ~ spl19_5
| ~ spl19_8
| spl19_49
| ~ spl19_71 ),
inference(avatar_contradiction_clause,[],[f2150]) ).
fof(f2159,plain,
( ! [X0] :
( ~ occurrence_of(sK15(sK17),X0)
| tptp2 = X0 )
| ~ spl19_43 ),
inference(resolution,[],[f1109,f141]) ).
fof(f2236,plain,
( ~ root_occ(sK13(sK17),sK17)
| ~ occurrence_of(sK15(sK17),tptp2)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(sK15(sK17),sK17)
| occurrence_of(sK15(sK17),tptp1)
| sP0(sK17,sK13(sK17),sK15(sK17))
| ~ spl19_9
| ~ spl19_49 ),
inference(resolution,[],[f1306,f207]) ).
fof(f2253,plain,
( ~ subactivity_occurrence(sK16(sK17,sK13(sK17)),sK17)
| sK15(sK17) = sK16(sK17,sK13(sK17))
| ~ arboreal(sK16(sK17,sK13(sK17)))
| ~ occurrence_of(sK17,tptp0)
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_36 ),
inference(resolution,[],[f1702,f238]) ).
fof(f2255,plain,
( ~ subactivity_occurrence(sK16(sK17,sK13(sK17)),sK17)
| sK15(sK17) = sK16(sK17,sK13(sK17))
| ~ arboreal(sK16(sK17,sK13(sK17)))
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_36 ),
inference(duplicate_literal_removal,[],[f2253]) ).
fof(f2257,plain,
( sK15(sK17) = sK16(sK17,sK13(sK17))
| ~ arboreal(sK16(sK17,sK13(sK17)))
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_15
| ~ spl19_36 ),
inference(forward_subsumption_resolution,[],[f2255,f668]) ).
fof(f2259,plain,
( ~ arboreal(sK16(sK17,sK13(sK17)))
| ~ occurrence_of(sK17,tptp0)
| ~ spl19_15
| spl19_26
| ~ spl19_36 ),
inference(forward_subsumption_resolution,[],[f2257,f784]) ).
fof(f2261,plain,
( ~ occurrence_of(sK17,tptp0)
| ~ spl19_15
| ~ spl19_22
| spl19_26
| ~ spl19_36 ),
inference(forward_subsumption_resolution,[],[f2259,f766]) ).
fof(f2263,plain,
( $false
| ~ spl19_15
| ~ spl19_22
| spl19_26
| ~ spl19_36 ),
inference(forward_subsumption_resolution,[],[f2261,f206]) ).
fof(f2264,plain,
( ~ spl19_15
| ~ spl19_22
| spl19_26
| ~ spl19_36 ),
inference(avatar_contradiction_clause,[],[f2263]) ).
fof(f2269,plain,
( ~ leaf_occ(sK15(sK17),sK17)
| spl19_20
| ~ spl19_26 ),
inference(superposition,[],[f747,f785]) ).
fof(f2324,plain,
( ~ occurrence_of(sK17,tptp0)
| spl19_82 ),
inference(resolution,[],[f2051,f184]) ).
fof(f2325,plain,
( $false
| spl19_82 ),
inference(forward_subsumption_resolution,[],[f2324,f206]) ).
fof(f2326,plain,
spl19_82,
inference(avatar_contradiction_clause,[],[f2325]) ).
fof(f2335,plain,
( ~ occurrence_of(sK15(sK17),tptp2)
| ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(sK15(sK17),sK17)
| occurrence_of(sK15(sK17),tptp1)
| sP0(sK17,sK13(sK17),sK15(sK17))
| ~ spl19_1
| ~ spl19_9
| ~ spl19_49 ),
inference(forward_subsumption_resolution,[],[f2236,f493]) ).
fof(f2338,plain,
( $false
| spl19_20
| ~ spl19_26
| ~ spl19_82 ),
inference(forward_subsumption_resolution,[],[f2269,f2050]) ).
fof(f2339,plain,
( spl19_20
| ~ spl19_26
| ~ spl19_82 ),
inference(avatar_contradiction_clause,[],[f2338]) ).
fof(f2344,plain,
( ~ occurrence_of(sK13(sK17),tptp3)
| ~ leaf_occ(sK15(sK17),sK17)
| occurrence_of(sK15(sK17),tptp1)
| sP0(sK17,sK13(sK17),sK15(sK17))
| ~ spl19_1
| ~ spl19_9
| ~ spl19_43
| ~ spl19_49 ),
inference(forward_subsumption_resolution,[],[f2335,f1109]) ).
fof(f2349,plain,
( ~ leaf_occ(sK15(sK17),sK17)
| occurrence_of(sK15(sK17),tptp1)
| sP0(sK17,sK13(sK17),sK15(sK17))
| ~ spl19_1
| ~ spl19_6
| ~ spl19_9
| ~ spl19_43
| ~ spl19_49 ),
inference(forward_subsumption_resolution,[],[f2344,f608]) ).
fof(f2351,plain,
( occurrence_of(sK15(sK17),tptp1)
| sP0(sK17,sK13(sK17),sK15(sK17))
| ~ spl19_1
| ~ spl19_6
| ~ spl19_9
| ~ spl19_43
| ~ spl19_49
| ~ spl19_82 ),
inference(forward_subsumption_resolution,[],[f2349,f2050]) ).
fof(f2415,definition,
( spl19_92
<=> sP0(sK17,sK13(sK17),sK15(sK17)) ),
introduced(definition,[new_symbols(definition,[spl19_92])],[avatar_definition]) ).
fof(f2416,plain,
( ~ sP0(sK17,sK13(sK17),sK15(sK17))
| spl19_92 ),
inference(avatar_component_clause,[],[f2415]) ).
fof(f2417,plain,
( sP0(sK17,sK13(sK17),sK15(sK17))
| ~ spl19_92 ),
inference(avatar_component_clause,[],[f2415]) ).
fof(f2419,definition,
( spl19_93
<=> occurrence_of(sK15(sK17),tptp1) ),
introduced(definition,[new_symbols(definition,[spl19_93])],[avatar_definition]) ).
fof(f2420,plain,
( ~ occurrence_of(sK15(sK17),tptp1)
| spl19_93 ),
inference(avatar_component_clause,[],[f2419]) ).
fof(f2421,plain,
( occurrence_of(sK15(sK17),tptp1)
| ~ spl19_93 ),
inference(avatar_component_clause,[],[f2419]) ).
fof(f2422,plain,
( spl19_92
| spl19_93
| ~ spl19_1
| ~ spl19_6
| ~ spl19_9
| ~ spl19_43
| ~ spl19_49
| ~ spl19_82 ),
inference(avatar_split_clause,[],[f2351,f2049,f1290,f1108,f620,f607,f492,f2419,f2415]) ).
fof(f2442,plain,
( tptp1 = tptp2
| ~ spl19_43
| ~ spl19_93 ),
inference(resolution,[],[f2421,f2159]) ).
fof(f2444,plain,
( tptp1 = sK5(sK15(sK17))
| ~ spl19_93 ),
inference(resolution,[],[f2421,f369]) ).
fof(f2448,plain,
( tptp1 = tptp2
| ~ spl19_5
| ~ spl19_49
| ~ spl19_93 ),
inference(forward_demodulation,[],[f2444,f1554]) ).
fof(f2449,plain,
( $false
| ~ spl19_43
| ~ spl19_93 ),
inference(forward_subsumption_resolution,[],[f2442,f201]) ).
fof(f2450,plain,
( ~ spl19_43
| ~ spl19_93 ),
inference(avatar_contradiction_clause,[],[f2449]) ).
fof(f2451,plain,
( $false
| ~ spl19_5
| ~ spl19_49
| ~ spl19_93 ),
inference(forward_subsumption_resolution,[],[f2448,f201]) ).
fof(f2452,plain,
( ~ spl19_5
| ~ spl19_49
| ~ spl19_93 ),
inference(avatar_contradiction_clause,[],[f2451]) ).
fof(f2464,plain,
( occurrence_of(sK15(sK17),tptp2)
| ~ spl19_92 ),
inference(resolution,[],[f2417,f202]) ).
fof(f2465,plain,
( subactivity_occurrence(sK16(sK17,sK13(sK17)),sK17)
| ~ spl19_92 ),
inference(resolution,[],[f2417,f204]) ).
fof(f2466,plain,
( occurrence_of(sK16(sK17,sK13(sK17)),tptp1)
| ~ spl19_92 ),
inference(resolution,[],[f2417,f205]) ).
fof(f2468,plain,
( $false
| spl19_14
| ~ spl19_92 ),
inference(forward_subsumption_resolution,[],[f2466,f662]) ).
fof(f2469,plain,
( spl19_14
| ~ spl19_92 ),
inference(avatar_contradiction_clause,[],[f2468]) ).
fof(f2470,plain,
( $false
| spl19_15
| ~ spl19_92 ),
inference(forward_subsumption_resolution,[],[f2465,f667]) ).
fof(f2471,plain,
( spl19_15
| ~ spl19_92 ),
inference(avatar_contradiction_clause,[],[f2470]) ).
fof(f2472,plain,
( $false
| ~ spl19_14
| ~ spl19_26
| spl19_93 ),
inference(forward_subsumption_resolution,[],[f904,f2420]) ).
fof(f2473,plain,
( ~ spl19_14
| ~ spl19_26
| spl19_93 ),
inference(avatar_contradiction_clause,[],[f2472]) ).
fof(f2474,plain,
( tptp1 = tptp2
| ~ spl19_5
| ~ spl19_14
| ~ spl19_26
| ~ spl19_49 ),
inference(forward_demodulation,[],[f909,f1554]) ).
fof(f2475,plain,
( $false
| ~ spl19_5
| ~ spl19_14
| ~ spl19_26
| ~ spl19_49 ),
inference(forward_subsumption_resolution,[],[f2474,f201]) ).
fof(f2476,plain,
( ~ spl19_5
| ~ spl19_14
| ~ spl19_26
| ~ spl19_49 ),
inference(avatar_contradiction_clause,[],[f2475]) ).
fof(f2478,plain,
( sP0(sK17,sK13(sK17),sK15(sK17))
| ~ spl19_19
| ~ spl19_26 ),
inference(forward_demodulation,[],[f743,f785]) ).
fof(f2480,plain,
( $false
| spl19_43
| ~ spl19_92 ),
inference(forward_subsumption_resolution,[],[f2464,f1110]) ).
fof(f2481,plain,
( spl19_43
| ~ spl19_92 ),
inference(avatar_contradiction_clause,[],[f2480]) ).
fof(f2508,plain,
( $false
| ~ spl19_19
| ~ spl19_26
| spl19_92 ),
inference(forward_subsumption_resolution,[],[f2478,f2416]) ).
fof(f2509,plain,
( ~ spl19_19
| ~ spl19_26
| spl19_92 ),
inference(avatar_contradiction_clause,[],[f2508]) ).
cnf(s1,plain,
( ~ spl19_1
| spl19_2 ),
inference(sat_conversion,[],[f499]) ).
cnf(s2,plain,
spl19_1,
inference(sat_conversion,[],[f502]) ).
cnf(s6,plain,
( ~ spl19_1
| spl19_5
| ~ spl19_6
| spl19_7 ),
inference(sat_conversion,[],[f613]) ).
cnf(s7,plain,
( ~ spl19_1
| ~ spl19_6
| spl19_7
| spl19_8 ),
inference(sat_conversion,[],[f618]) ).
cnf(s8,plain,
( ~ spl19_1
| ~ spl19_6
| spl19_7
| spl19_9 ),
inference(sat_conversion,[],[f623]) ).
cnf(s9,plain,
( ~ spl19_1
| spl19_5
| ~ spl19_6
| spl19_10 ),
inference(sat_conversion,[],[f627]) ).
cnf(s12,plain,
( ~ spl19_1
| ~ spl19_6
| spl19_11 ),
inference(sat_conversion,[],[f633]) ).
cnf(s13,plain,
spl19_6,
inference(sat_conversion,[],[f636]) ).
cnf(s14,plain,
( ~ spl19_10
| spl19_12
| spl19_13 ),
inference(sat_conversion,[],[f659]) ).
cnf(s15,plain,
( ~ spl19_10
| spl19_13
| spl19_14 ),
inference(sat_conversion,[],[f664]) ).
cnf(s16,plain,
( ~ spl19_10
| spl19_13
| spl19_15 ),
inference(sat_conversion,[],[f669]) ).
cnf(s19,plain,
( ~ spl19_2
| ~ spl19_13
| spl19_17 ),
inference(sat_conversion,[],[f704]) ).
cnf(s23,plain,
( ~ spl19_1
| spl19_5
| ~ spl19_6
| ~ spl19_12
| ~ spl19_14
| spl19_19
| ~ spl19_20 ),
inference(sat_conversion,[],[f755]) ).
cnf(s24,plain,
( ~ spl19_1
| ~ spl19_6
| spl19_8
| ~ spl19_12
| ~ spl19_14
| spl19_19
| ~ spl19_20 ),
inference(sat_conversion,[],[f756]) ).
cnf(s25,plain,
( ~ spl19_1
| ~ spl19_6
| spl19_9
| ~ spl19_12
| ~ spl19_14
| spl19_19
| ~ spl19_20 ),
inference(sat_conversion,[],[f757]) ).
cnf(s26,plain,
( ~ spl19_15
| ~ spl19_22
| spl19_23 ),
inference(sat_conversion,[],[f771]) ).
cnf(s31,plain,
( ~ spl19_14
| spl19_22 ),
inference(sat_conversion,[],[f803]) ).
cnf(s44,plain,
( ~ spl19_2
| ~ spl19_7
| ~ spl19_13
| spl19_31 ),
inference(sat_conversion,[],[f986]) ).
cnf(s56,plain,
( ~ spl19_17
| spl19_42
| ~ spl19_43 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s57,plain,
( ~ spl19_31
| spl19_42
| spl19_43 ),
inference(sat_conversion,[],[f1135]) ).
cnf(s59,plain,
( spl19_32
| ~ spl19_42 ),
inference(sat_conversion,[],[f1181]) ).
cnf(s62,plain,
( ~ spl19_7
| spl19_10
| ~ spl19_11 ),
inference(sat_conversion,[],[f1197]) ).
cnf(s63,plain,
( ~ spl19_12
| ~ spl19_23
| spl19_35
| spl19_36 ),
inference(sat_conversion,[],[f1198]) ).
cnf(s65,plain,
( ~ spl19_14
| ~ spl19_35 ),
inference(sat_conversion,[],[f1263]) ).
cnf(s71,plain,
~ spl19_32,
inference(sat_conversion,[],[f1328]) ).
cnf(s94,plain,
( ~ spl19_2
| ~ spl19_11
| spl19_12
| spl19_60 ),
inference(sat_conversion,[],[f1865]) ).
cnf(s102,plain,
( spl19_42
| ~ spl19_43
| ~ spl19_60 ),
inference(sat_conversion,[],[f1984]) ).
cnf(s103,plain,
( ~ spl19_5
| spl19_43
| ~ spl19_49 ),
inference(sat_conversion,[],[f1986]) ).
cnf(s104,plain,
( ~ spl19_5
| spl19_42
| ~ spl19_49
| ~ spl19_60 ),
inference(sat_conversion,[],[f1989]) ).
cnf(s105,plain,
( ~ spl19_5
| ~ spl19_8
| ~ spl19_9
| spl19_70
| spl19_71 ),
inference(sat_conversion,[],[f1998]) ).
cnf(s116,plain,
( ~ spl19_5
| ~ spl19_70 ),
inference(sat_conversion,[],[f2110]) ).
cnf(s118,plain,
( ~ spl19_5
| ~ spl19_8
| spl19_49
| ~ spl19_71 ),
inference(sat_conversion,[],[f2151]) ).
cnf(s119,plain,
( ~ spl19_15
| ~ spl19_22
| spl19_26
| ~ spl19_36 ),
inference(sat_conversion,[],[f2264]) ).
cnf(s125,plain,
spl19_82,
inference(sat_conversion,[],[f2326]) ).
cnf(s129,plain,
( spl19_20
| ~ spl19_26
| ~ spl19_82 ),
inference(sat_conversion,[],[f2339]) ).
cnf(s135,plain,
( ~ spl19_1
| ~ spl19_6
| ~ spl19_9
| ~ spl19_43
| ~ spl19_49
| ~ spl19_82
| spl19_92
| spl19_93 ),
inference(sat_conversion,[],[f2422]) ).
cnf(s139,plain,
( ~ spl19_43
| ~ spl19_93 ),
inference(sat_conversion,[],[f2450]) ).
cnf(s140,plain,
( ~ spl19_5
| ~ spl19_49
| ~ spl19_93 ),
inference(sat_conversion,[],[f2452]) ).
cnf(s142,plain,
( spl19_14
| ~ spl19_92 ),
inference(sat_conversion,[],[f2469]) ).
cnf(s143,plain,
( spl19_15
| ~ spl19_92 ),
inference(sat_conversion,[],[f2471]) ).
cnf(s144,plain,
( ~ spl19_14
| ~ spl19_26
| spl19_93 ),
inference(sat_conversion,[],[f2473]) ).
cnf(s145,plain,
( ~ spl19_5
| ~ spl19_14
| ~ spl19_26
| ~ spl19_49 ),
inference(sat_conversion,[],[f2476]) ).
cnf(s148,plain,
( spl19_43
| ~ spl19_92 ),
inference(sat_conversion,[],[f2481]) ).
cnf(s150,plain,
( ~ spl19_19
| ~ spl19_26
| spl19_92 ),
inference(sat_conversion,[],[f2509]) ).
cnf(s159,plain,
~ spl19_42,
inference(rat,[],[s59,s71]) ).
cnf(s160,plain,
( ~ spl19_31
| spl19_43 ),
inference(rat,[],[s57,s159]) ).
cnf(s161,plain,
( ~ spl19_17
| ~ spl19_43 ),
inference(rat,[],[s56,s159]) ).
cnf(s163,plain,
( ~ spl19_1
| spl19_11 ),
inference(rat,[],[s12,s13]) ).
cnf(s166,plain,
( ~ spl19_1
| spl19_5
| spl19_10 ),
inference(rat,[],[s9,s13]) ).
cnf(s167,plain,
( ~ spl19_1
| spl19_7
| spl19_9 ),
inference(rat,[],[s8,s13]) ).
cnf(s168,plain,
( ~ spl19_1
| spl19_7
| spl19_8 ),
inference(rat,[],[s7,s13]) ).
cnf(s169,plain,
( ~ spl19_1
| spl19_5
| spl19_7 ),
inference(rat,[],[s6,s13]) ).
cnf(s171,plain,
spl19_11,
inference(rat,[],[s163,s2]) ).
cnf(s173,plain,
spl19_2,
inference(rat,[],[s1,s2]) ).
cnf(s175,plain,
( spl19_12
| spl19_5 ),
inference(rat,[],[s160,s102,s44,s94,s14,s166,s169,s159,s173,s171,s2]) ).
cnf(s176,plain,
( ~ spl19_13
| ~ spl19_7 ),
inference(rat,[],[s160,s161,s44,s19,s173]) ).
cnf(s177,plain,
spl19_5,
inference(rat,[],[s23,s150,s148,s139,s129,s144,s119,s63,s26,s31,s65,s15,s16,s176,s175,s169,s166,s13,s2,s125]) ).
cnf(s178,plain,
~ spl19_70,
inference(rat,[],[s116,s177]) ).
cnf(s179,plain,
( spl19_13
| ~ spl19_10 ),
inference(rat,[],[s118,s105,s25,s24,s150,s148,s139,s145,s129,s144,s119,s63,s26,s31,s65,s15,s16,s14,s125,s2,s13,s178,s177]) ).
cnf(s180,plain,
~ spl19_7,
inference(rat,[],[s179,s176,s62,s171]) ).
cnf(s181,plain,
spl19_9,
inference(rat,[],[s167,s2,s180]) ).
cnf(s182,plain,
spl19_8,
inference(rat,[],[s168,s2,s180]) ).
cnf(s183,plain,
spl19_71,
inference(rat,[],[s105,s181,s178,s177,s182]) ).
cnf(s184,plain,
spl19_49,
inference(rat,[],[s118,s182,s177,s183]) ).
cnf(s185,plain,
~ spl19_93,
inference(rat,[],[s140,s177,s184]) ).
cnf(s187,plain,
~ spl19_60,
inference(rat,[],[s104,s177,s159,s184]) ).
cnf(s188,plain,
spl19_43,
inference(rat,[],[s103,s177,s184]) ).
cnf(s191,plain,
spl19_92,
inference(rat,[],[s135,s185,s188,s125,s181,s2,s13,s184]) ).
cnf(s193,plain,
spl19_12,
inference(rat,[],[s94,s173,s171,s187]) ).
cnf(s195,plain,
spl19_15,
inference(rat,[],[s143,s191]) ).
cnf(s196,plain,
spl19_14,
inference(rat,[],[s142,s191]) ).
cnf(s199,plain,
~ spl19_35,
inference(rat,[],[s65,s196]) ).
cnf(s200,plain,
spl19_22,
inference(rat,[],[s31,s196]) ).
cnf(s201,plain,
~ spl19_26,
inference(rat,[],[s145,s184,s177,s196]) ).
cnf(s204,plain,
spl19_23,
inference(rat,[],[s26,s195,s200]) ).
cnf(s205,plain,
~ spl19_36,
inference(rat,[],[s119,s200,s195,s201]) ).
cnf(s210,plain,
$false,
inference(rat,[],[s63,s199,s193,s205,s204]) ).
fof(f2522,plain,
$false,
inference(avatar_sat_refutation,[],[s210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO008+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n017.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 22:14:51 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.97/2.14 % (2992056)Detected formulas, will run a generic FOF schedule.
% 7.97/2.14 % (2992063)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=1428157929:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.97/2.14 % (2992067)dis-21_1_sil=8000:lcm=predicate:random_seed=781198596: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)
% 7.97/2.14 % (2992065)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3239257855:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.97/2.14 % (2992061)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=359915596:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.97/2.14 % (2992064)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1791761280:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.97/2.14 % (2992062)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=1315729083:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.97/2.14 % (2992066)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=444618780:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.97/2.14 % (2992064)Refutation not found, incomplete strategy
% 7.97/2.14 % (2992064)------------------------------
% 7.97/2.14 % (2992064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.14 % (2992064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.14 % (2992064)CaDiCaL version: 2.1.3
% 7.97/2.14 % (2992064)Termination reason: Refutation not found, incomplete strategy
% 7.97/2.14 % (2992064)Time elapsed: 0.001 s
% 7.97/2.14 % (2992064)Peak memory usage: 88 MB
% 7.97/2.14 % (2992065)Instruction limit reached!
% 7.97/2.14 % (2992065)------------------------------
% 7.97/2.14 % (2992065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.14 % (2992065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.14 % (2992065)CaDiCaL version: 2.1.3
% 7.97/2.14 % (2992065)Termination reason: Instruction limit
% 7.97/2.14 % (2992065)Termination phase: Saturation
% 7.97/2.14 % (2992065)Time elapsed: 0.057 s
% 7.97/2.14 % (2992065)Peak memory usage: 88 MB
% 7.97/2.14 % (2992065)Instructions burned: 120 (million)
% 7.97/2.14 % (2992067)Instruction limit reached!
% 7.97/2.14 % (2992067)------------------------------
% 7.97/2.14 % (2992067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.14 % (2992067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.14 % (2992067)CaDiCaL version: 2.1.3
% 7.97/2.14 % (2992067)Termination reason: Instruction limit
% 7.97/2.14 % (2992067)Termination phase: Saturation
% 7.97/2.14 % (2992067)Time elapsed: 0.071 s
% 7.97/2.14 % (2992067)Peak memory usage: 89 MB
% 7.97/2.14 % (2992067)Instructions burned: 130 (million)
% 7.97/2.14 % (2992066)Instruction limit reached!
% 7.97/2.14 % (2992066)------------------------------
% 7.97/2.14 % (2992066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.14 % (2992066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.14 % (2992066)CaDiCaL version: 2.1.3
% 7.97/2.14 % (2992066)Termination reason: Instruction limit
% 7.97/2.14 % (2992066)Termination phase: Saturation
% 7.97/2.14 % (2992066)Time elapsed: 0.105 s
% 7.97/2.14 % (2992066)Peak memory usage: 90 MB
% 7.97/2.14 % (2992066)Instructions burned: 140 (million)
% 7.97/2.14 % (2992075)lrs+10_1_sil=8000:sp=occurrence:random_seed=4001882562:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.97/2.14 % (2992076)lrs+10_1_sil=32000:urr=on:br=off:random_seed=599362780:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.97/2.14 % (2992076)Refutation not found, incomplete strategy
% 7.97/2.14 % (2992076)------------------------------
% 7.97/2.14 % (2992076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.14 % (2992076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.14 % (2992076)CaDiCaL version: 2.1.3
% 7.97/2.14 % (2992076)Termination reason: Refutation not found, incomplete strategy
% 7.97/2.14 % (2992076)Time elapsed: 0.004 s
% 7.97/2.14 % (2992076)Peak memory usage: 89 MB
% 7.97/2.14 % (2992076)Instructions burned: 5 (million)
% 7.97/2.14 % (2992064)------------------------------
% 7.97/2.14 % (2992064)------------------------------
% 7.97/2.14 % (2992077)lrs+1011_1_sil=32000:sp=occurrence:random_seed=351127603:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.97/2.14 % (2992081)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=4031740859:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.97/2.14 % (2992075)Instruction limit reached!
% 7.97/2.14 % (2992075)------------------------------
% 7.97/2.14 % (2992075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.14 % (2992075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.14 % (2992075)CaDiCaL version: 2.1.3
% 7.97/2.14 % (2992075)Termination reason: Instruction limit
% 7.97/2.14 % (2992075)Termination phase: Saturation
% 7.97/2.14 % (2992075)Time elapsed: 0.166 s
% 7.97/2.14 % (2992075)Peak memory usage: 90 MB
% 7.97/2.14 % (2992075)Instructions burned: 286 (million)
% 7.97/2.14 % (2992081)Instruction limit reached!
% 7.97/2.14 % (2992081)------------------------------
% 7.97/2.14 % (2992081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.14 % (2992081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.14 % (2992081)CaDiCaL version: 2.1.3
% 7.97/2.14 % (2992081)Termination reason: Instruction limit
% 7.97/2.14 % (2992081)Termination phase: Saturation
% 7.97/2.14 % (2992081)Time elapsed: 0.075 s
% 7.97/2.14 % (2992081)Peak memory usage: 90 MB
% 7.97/2.14 % (2992081)Instructions burned: 250 (million)
% 7.97/2.14 % (2992076)------------------------------
% 7.97/2.14 % (2992076)------------------------------
% 7.97/2.14 % (2992077)Instruction limit reached!
% 7.97/2.14 % (2992077)------------------------------
% 7.97/2.14 % (2992077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.14 % (2992077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.14 % (2992077)CaDiCaL version: 2.1.3
% 7.97/2.14 % (2992077)Termination reason: Instruction limit
% 7.97/2.14 % (2992077)Termination phase: Saturation
% 7.97/2.14 % (2992077)Time elapsed: 0.230 s
% 7.97/2.14 % (2992077)Peak memory usage: 92 MB
% 7.97/2.14 % (2992077)Instructions burned: 325 (million)
% 7.97/2.14 % (2992083)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=479855622:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.97/2.14 % (2992084)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1807118002:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.97/2.14 % (2992085)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1331345950:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.97/2.14 % (2992086)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4282393879:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.97/2.14 % (2992083)Instruction limit reached!
% 7.97/2.14 % (2992083)------------------------------
% 7.97/2.14 % (2992083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.14 % (2992083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.14 % (2992083)CaDiCaL version: 2.1.3
% 7.97/2.14 % (2992083)Termination reason: Instruction limit
% 7.97/2.14 % (2992083)Termination phase: Saturation
% 7.97/2.14 % (2992083)Time elapsed: 0.168 s
% 7.97/2.14 % (2992083)Peak memory usage: 89 MB
% 7.97/2.14 % (2992083)Instructions burned: 294 (million)
% 7.97/2.14 % (2992086)Instruction limit reached!
% 7.97/2.14 % (2992086)------------------------------
% 7.97/2.14 % (2992086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.14 % (2992086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.14 % (2992086)CaDiCaL version: 2.1.3
% 7.97/2.14 % (2992086)Termination reason: Instruction limit
% 7.97/2.14 % (2992086)Termination phase: Saturation
% 7.97/2.14 % (2992086)Time elapsed: 0.066 s
% 7.97/2.14 % (2992086)Peak memory usage: 89 MB
% 7.97/2.14 % (2992086)Instructions burned: 128 (million)
% 7.97/2.14 % (2992085)Instruction limit reached!
% 7.97/2.14 % (2992085)------------------------------
% 7.97/2.14 % (2992085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.14 % (2992085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.15 % (2992085)CaDiCaL version: 2.1.3
% 7.97/2.15 % (2992085)Termination reason: Instruction limit
% 7.97/2.15 % (2992085)Termination phase: Saturation
% 7.97/2.15 % (2992085)Time elapsed: 0.082 s
% 7.97/2.15 % (2992085)Peak memory usage: 90 MB
% 7.97/2.15 % (2992085)Instructions burned: 114 (million)
% 7.97/2.15 % (2992091)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=101455104:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.97/2.15 % (2992091)Refutation not found, incomplete strategy
% 7.97/2.15 % (2992091)------------------------------
% 7.97/2.15 % (2992091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.15 % (2992091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.15 % (2992091)CaDiCaL version: 2.1.3
% 7.97/2.15 % (2992091)Termination reason: Refutation not found, incomplete strategy
% 7.97/2.15 % (2992091)Time elapsed: 0.001 s
% 7.97/2.15 % (2992091)Peak memory usage: 88 MB
% 7.97/2.15 % (2992093)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3403994548:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.97/2.15 % (2992092)lrs+10_1_sil=8000:sp=occurrence:random_seed=3454418683:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.97/2.15 % (2992061)First to succeed.
% 7.97/2.15 % (2992061)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2992056"
% 7.97/2.15 % (2992091)------------------------------
% 7.97/2.15 % (2992091)------------------------------
% 7.97/2.15 % (2992093)Instruction limit reached!
% 7.97/2.15 % (2992093)------------------------------
% 7.97/2.15 % (2992093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/2.15 % (2992093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/2.15 % (2992093)CaDiCaL version: 2.1.3
% 7.97/2.15 % (2992093)Termination reason: Instruction limit
% 7.97/2.15 % (2992093)Termination phase: Saturation
% 7.97/2.15 % (2992093)Time elapsed: 0.221 s
% 7.97/2.15 % (2992093)Peak memory usage: 89 MB
% 7.97/2.15 % (2992093)Instructions burned: 439 (million)
% 7.97/2.15 % (2992084)Also succeeded, but the first one will report.
% 7.97/2.15 % (2992061)Refutation found. Thanks to Tanya!
% 7.97/2.15 % SZS status Theorem for theBenchmark
% 7.97/2.15 % SZS output start Proof for theBenchmark
% See solution above
% 9.67/2.33 % (2992061)------------------------------
% 9.67/2.33 % (2992061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.33 % (2992061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.33 % (2992061)CaDiCaL version: 2.1.3
% 9.67/2.33 % (2992061)Termination reason: Refutation
% 9.67/2.33 % (2992061)Time elapsed: 0.877 s
% 9.67/2.33 % (2992061)Peak memory usage: 132 MB
% 9.67/2.33 % (2992061)Instructions burned: 1298 (million)
% 9.67/2.33 % (2992061)------------------------------
% 9.67/2.33 % (2992061)------------------------------
% 9.67/2.33 % (2992056)Success in time 1.279 s
% 9.67/2.33 % Vampire exiting
%------------------------------------------------------------------------------