%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO002+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:30:20 PM UTC 2026
% Result : Theorem 10.39s 2.54s
% Output : Refutation 11.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 43
% Syntax : Number of formulae : 307 ( 40 unt; 21 def)
% Number of atoms : 859 ( 61 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 957 ( 405 ~; 413 |; 94 &)
% ( 28 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 22 prp; 0-5 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-3 aty)
% Number of variables : 359 ( 0 sgn 310 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f2,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f8,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f12,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3,X4] :
( subactivity(X3,X0)
& subactivity(X4,X0)
& atocc(X1,X3)
& atocc(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
fof(f15,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(f22,axiom,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ~ ? [X3] : min_precedes(X0,X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(f23,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( min_precedes(X0,X1,X2)
& ~ ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(f24,axiom,
! [X0,X1] :
( atocc(X0,X1)
<=> ? [X2] :
( subactivity(X1,X2)
& atomic(X2)
& occurrence_of(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).
fof(f25,axiom,
! [X0,X1] :
( subactivity_occurrence(X0,X1)
=> ( activity_occurrence(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
fof(f26,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(f29,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X1,X0)
& arboreal(X2)
& arboreal(X3)
& subactivity_occurrence(X2,X1)
& subactivity_occurrence(X3,X1) )
=> ( min_precedes(X2,X3,X0)
| min_precedes(X3,X2,X0)
| X2 = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
fof(f34,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
fof(f35,axiom,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(f36,axiom,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& ( occurrence_of(X2,tptp3)
| occurrence_of(X2,tptp2) )
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(f39,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(f40,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).
fof(f41,axiom,
atomic(tptp2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_40) ).
fof(f50,axiom,
! [X0,X1,X2,X3,X4] :
( send_message(X0,X1,X2,X3,X4)
=> ( X0 != tptp4
& X0 != tptp3
& X0 != tptp2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(f51,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( send_message(X0,X1,X2,X3,X4)
& occurrence_of(X5,X0) )
=> min_precedes(X3,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_50) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( tptp1(X0,X1,X2)
& occurrence_of(X3,X0) )
=> ? [X4,X5,X6,X7] :
( send_message(X4,X5,X6,X2,X1)
& occurrence_of(X7,X4)
& root_occ(X7,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_52) ).
fof(f55,conjecture,
~ ? [X0,X1,X2] :
( tptp1(X0,tptp0,X1)
& occurrence_of(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f56,negated_conjecture,
~ ~ ? [X0,X1,X2] :
( tptp1(X0,tptp0,X1)
& occurrence_of(X2,X0) ),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f57,plain,
? [X0,X1,X2] :
( tptp1(X0,tptp0,X1)
& occurrence_of(X2,X0) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) ) ),
inference(unused_predicate_definition_removal,[],[f35]) ).
fof(f59,plain,
! [X0,X1] :
( leaf(X0,X1)
=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ~ ? [X3] : min_precedes(X0,X3,X1) ) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f60,plain,
! [X0,X1] :
( root_occ(X0,X1)
=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) ) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f61,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(unused_predicate_definition_removal,[],[f23]) ).
fof(f62,plain,
! [X0,X1] :
( ( activity(X0)
& activity_occurrence(X1) )
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f63,plain,
! [X0] :
( ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) )
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f64,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f65,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f64]) ).
fof(f72,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( subactivity(X3,X0)
& subactivity(X4,X0)
& atocc(X1,X3)
& atocc(X2,X4) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f89,plain,
! [X0,X1] :
( ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) )
| ~ leaf(X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ),
inference(ennf_transformation,[],[f61]) ).
fof(f91,plain,
! [X0,X1] :
( ( activity_occurrence(X0)
& activity_occurrence(X1) )
| ~ subactivity_occurrence(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( min_precedes(X2,X3,X0)
| min_precedes(X3,X2,X0)
| X2 = X3
| ~ occurrence_of(X1,X0)
| ~ arboreal(X2)
| ~ arboreal(X3)
| ~ subactivity_occurrence(X2,X1)
| ~ subactivity_occurrence(X3,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f98,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,[],[f97]) ).
fof(f107,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) )
| ~ root_occ(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f108,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) )
| ~ leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f109,plain,
! [X0] :
( ? [X1,X2] :
( occurrence_of(X1,tptp4)
& root_occ(X1,X0)
& ( occurrence_of(X2,tptp3)
| occurrence_of(X2,tptp2) )
& leaf_occ(X2,X0)
& next_subocc(X1,X2,tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4] :
( ( X0 != tptp4
& X0 != tptp3
& X0 != tptp2 )
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f50]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4,X5] :
( min_precedes(X3,X5,X4)
| ~ send_message(X0,X1,X2,X3,X4)
| ~ occurrence_of(X5,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4,X5] :
( min_precedes(X3,X5,X4)
| ~ send_message(X0,X1,X2,X3,X4)
| ~ occurrence_of(X5,X0) ),
inference(flattening,[],[f112]) ).
fof(f115,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( send_message(X4,X5,X6,X2,X1)
& occurrence_of(X7,X4)
& root_occ(X7,X3) )
| ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( send_message(X4,X5,X6,X2,X1)
& occurrence_of(X7,X4)
& root_occ(X7,X3) )
| ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0] :
( ( activity(sK0(X0))
& occurrence_of(X0,sK0(X0)) )
| ~ activity_occurrence(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f63]) ).
fof(f118,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f72]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ( subactivity(sK1(X0,X1,X2),X0)
& subactivity(sK2(X0,X1,X2),X0)
& atocc(X1,sK1(X0,X1,X2))
& atocc(X2,sK2(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X3,sK1(X0,X1,X2)),skolemize(X4,sK2(X0,X1,X2))],[f76]) ).
fof(f124,plain,
! [X0,X1] :
( ( ( root(X0,X1)
| min_precedes(sK5(X0,X1),X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) )
| ~ leaf(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f89]) ).
fof(f125,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ subactivity(X1,X2)
| ~ atomic(X2)
| ~ occurrence_of(X0,X2) ) )
& ( ? [X2] :
( subactivity(X1,X2)
& atomic(X2)
& occurrence_of(X0,X2) )
| ~ atocc(X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f126,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ subactivity(X1,X2)
| ~ atomic(X2)
| ~ occurrence_of(X0,X2) ) )
& ( ? [X3] :
( subactivity(X1,X3)
& atomic(X3)
& occurrence_of(X0,X3) )
| ~ atocc(X0,X1) ) ),
inference(rectify,[],[f125]) ).
fof(f127,plain,
! [X0,X1] :
( ( atocc(X0,X1)
| ! [X2] :
( ~ subactivity(X1,X2)
| ~ atomic(X2)
| ~ occurrence_of(X0,X2) ) )
& ( ( subactivity(X1,sK6(X0,X1))
& atomic(sK6(X0,X1))
& occurrence_of(X0,sK6(X0,X1)) )
| ~ atocc(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X1))],[f126]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK7(X0,X1,X2),X0)
& subactivity_occurrence(X1,sK7(X0,X1,X2))
& subactivity_occurrence(X2,sK7(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f92]) ).
fof(f132,plain,
! [X0,X1] :
( ( occurrence_of(X1,sK11(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK11(X0,X1)) )
| ~ root_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f107]) ).
fof(f133,plain,
! [X0,X1] :
( ( occurrence_of(X1,sK12(X0,X1))
& subactivity_occurrence(X0,X1)
& leaf(X0,sK12(X0,X1)) )
| ~ leaf_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f108]) ).
fof(f134,plain,
! [X0] :
( ( occurrence_of(sK13(X0),tptp4)
& root_occ(sK13(X0),X0)
& ( occurrence_of(sK14(X0),tptp3)
| occurrence_of(sK14(X0),tptp2) )
& leaf_occ(sK14(X0),X0)
& next_subocc(sK13(X0),sK14(X0),tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X1,sK13(X0)),skolemize(X2,sK14(X0))],[f109]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( send_message(sK15(X1,X2,X3),sK16(X1,X2,X3),sK17(X1,X2,X3),X2,X1)
& occurrence_of(sK18(X1,X2,X3),sK15(X1,X2,X3))
& root_occ(sK18(X1,X2,X3),X3) )
| ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18]),skolemize(X4,sK15(X1,X2,X3)),skolemize(X5,sK16(X1,X2,X3)),skolemize(X6,sK17(X1,X2,X3)),skolemize(X7,sK18(X1,X2,X3))],[f116]) ).
fof(f136,plain,
( tptp1(sK19,tptp0,sK20)
& occurrence_of(sK21,sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X0,sK19),skolemize(X1,sK20),skolemize(X2,sK21)],[f57]) ).
fof(f137,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f139,plain,
! [X0] :
( occurrence_of(X0,sK0(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f65]) ).
fof(f147,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f153,plain,
! [X2,X0,X1] :
( atocc(X2,sK2(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f168,plain,
! [X3,X0,X1] :
( ~ min_precedes(X0,X3,X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f172,plain,
! [X0,X1] :
( occurrence_of(X0,sK6(X0,X1))
| ~ atocc(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f173,plain,
! [X0,X1] :
( atomic(sK6(X0,X1))
| ~ atocc(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f177,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| activity_occurrence(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f178,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK7(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f180,plain,
! [X2,X0,X1] :
( occurrence_of(sK7(X0,X1,X2),X0)
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f185,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,[],[f98]) ).
fof(f191,plain,
! [X0,X1] :
( root(X0,sK11(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f192,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f193,plain,
! [X0,X1] :
( occurrence_of(X1,sK11(X0,X1))
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f194,plain,
! [X0,X1] :
( leaf(X0,sK12(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f195,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f196,plain,
! [X0,X1] :
( occurrence_of(X1,sK12(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f197,plain,
! [X0] :
( next_subocc(sK13(X0),sK14(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f198,plain,
! [X0] :
( leaf_occ(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f199,plain,
! [X0] :
( occurrence_of(sK14(X0),tptp2)
| occurrence_of(sK14(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f200,plain,
! [X0] :
( root_occ(sK13(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f201,plain,
! [X0] :
( occurrence_of(sK13(X0),tptp4)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f204,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f39]) ).
fof(f205,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f40]) ).
fof(f206,plain,
atomic(tptp2),
inference(cnf_transformation,[],[f41]) ).
fof(f218,plain,
! [X2,X3,X0,X1,X4] :
( tptp2 != X0
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f111]) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4] :
( tptp3 != X0
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f111]) ).
fof(f221,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ send_message(X0,X1,X2,X3,X4)
| min_precedes(X3,X5,X4)
| ~ occurrence_of(X5,X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( ~ tptp1(X0,X1,X2)
| occurrence_of(sK18(X1,X2,X3),sK15(X1,X2,X3))
| ~ occurrence_of(X3,X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( ~ tptp1(X0,X1,X2)
| send_message(sK15(X1,X2,X3),sK16(X1,X2,X3),sK17(X1,X2,X3),X2,X1)
| ~ occurrence_of(X3,X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f230,plain,
occurrence_of(sK21,sK19),
inference(cnf_transformation,[],[f136]) ).
fof(f231,plain,
tptp1(sK19,tptp0,sK20),
inference(cnf_transformation,[],[f136]) ).
fof(f233,plain,
! [X2,X3,X1,X4] : ~ send_message(tptp3,X1,X2,X3,X4),
inference(equality_resolution,[],[f219]) ).
fof(f234,plain,
! [X2,X3,X1,X4] : ~ send_message(tptp2,X1,X2,X3,X4),
inference(equality_resolution,[],[f218]) ).
fof(f235,plain,
! [X0] :
( send_message(sK15(tptp0,sK20,X0),sK16(tptp0,sK20,X0),sK17(tptp0,sK20,X0),sK20,tptp0)
| ~ occurrence_of(X0,sK19) ),
inference(resolution,[],[f228,f231]) ).
fof(f236,plain,
! [X0] :
( occurrence_of(sK18(tptp0,sK20,X0),sK15(tptp0,sK20,X0))
| ~ occurrence_of(X0,sK19) ),
inference(resolution,[],[f227,f231]) ).
fof(f240,plain,
! [X0,X1] :
( ~ occurrence_of(sK18(tptp0,sK20,X0),X1)
| sK15(tptp0,sK20,X0) = X1
| ~ occurrence_of(X0,sK19) ),
inference(resolution,[],[f141,f236]) ).
fof(f249,plain,
! [X2,X3,X0,X1,X4] :
( ~ subactivity_occurrence(X3,sK7(X2,X0,X1))
| min_precedes(X1,X3,X4)
| X1 = X3
| ~ occurrence_of(sK7(X2,X0,X1),X4)
| ~ arboreal(X3)
| ~ arboreal(X1)
| ~ min_precedes(X0,X1,X2)
| min_precedes(X3,X1,X4) ),
inference(resolution,[],[f178,f185]) ).
fof(f271,plain,
! [X0,X1] :
( ~ min_precedes(sK13(X1),X0,tptp0)
| ~ min_precedes(X0,sK14(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(resolution,[],[f170,f197]) ).
fof(f272,plain,
! [X0,X1] :
( ~ occurrence_of(X0,sK15(tptp0,sK20,X1))
| min_precedes(sK20,X0,tptp0)
| ~ occurrence_of(X1,sK19) ),
inference(resolution,[],[f221,f235]) ).
fof(f273,plain,
! [X0] :
( min_precedes(sK20,sK18(tptp0,sK20,X0),tptp0)
| ~ occurrence_of(X0,sK19)
| ~ occurrence_of(X0,sK19) ),
inference(resolution,[],[f272,f236]) ).
fof(f274,plain,
! [X0] :
( min_precedes(sK20,sK18(tptp0,sK20,X0),tptp0)
| ~ occurrence_of(X0,sK19) ),
inference(duplicate_literal_removal,[],[f273]) ).
fof(f280,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ atomic(tptp4)
| arboreal(sK13(X0)) ),
inference(resolution,[],[f201,f147]) ).
fof(f282,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK13(X0)) ),
inference(forward_subsumption_resolution,[],[f280,f204]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( ~ occurrence_of(sK7(X2,X0,X1),X3)
| ~ min_precedes(X0,X1,X2)
| X2 = X3 ),
inference(resolution,[],[f180,f141]) ).
fof(f298,plain,
! [X0] :
( activity_occurrence(sK18(tptp0,sK20,X0))
| ~ occurrence_of(X0,sK19) ),
inference(resolution,[],[f137,f236]) ).
fof(f432,plain,
! [X0,X1] :
( arboreal(sK13(sK7(tptp0,X0,X1)))
| ~ min_precedes(X0,X1,tptp0) ),
inference(resolution,[],[f282,f180]) ).
fof(f437,plain,
! [X0,X1] :
( ~ activity_occurrence(X0)
| ~ occurrence_of(X0,X1)
| sK0(X0) = X1 ),
inference(resolution,[],[f139,f141]) ).
fof(f439,plain,
! [X0] :
( ~ activity_occurrence(sK18(tptp0,sK20,X0))
| sK15(tptp0,sK20,X0) = sK0(sK18(tptp0,sK20,X0))
| ~ occurrence_of(X0,sK19) ),
inference(resolution,[],[f139,f240]) ).
fof(f444,plain,
! [X0] :
( ~ occurrence_of(X0,sK19)
| sK15(tptp0,sK20,X0) = sK0(sK18(tptp0,sK20,X0)) ),
inference(forward_subsumption_resolution,[],[f439,f298]) ).
fof(f445,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| sK0(X0) = X1 ),
inference(forward_subsumption_resolution,[],[f437,f137]) ).
fof(f448,plain,
! [X0,X1] :
( ~ root_occ(X1,X0)
| sK0(X0) = sK11(X1,X0) ),
inference(resolution,[],[f445,f193]) ).
fof(f450,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sK0(sK7(X0,X1,X2)) = X0 ),
inference(resolution,[],[f445,f180]) ).
fof(f452,plain,
! [X0] :
( occurrence_of(sK14(X0),tptp3)
| tptp2 = sK0(sK14(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f445,f199]) ).
fof(f458,plain,
sK15(tptp0,sK20,sK21) = sK0(sK18(tptp0,sK20,sK21)),
inference(resolution,[],[f444,f230]) ).
fof(f459,plain,
( occurrence_of(sK18(tptp0,sK20,sK21),sK15(tptp0,sK20,sK21))
| ~ activity_occurrence(sK18(tptp0,sK20,sK21)) ),
inference(superposition,[],[f139,f458]) ).
fof(f461,definition,
( spl22_11
<=> activity_occurrence(sK18(tptp0,sK20,sK21)) ),
introduced(definition,[new_symbols(definition,[spl22_11])],[avatar_definition]) ).
fof(f463,plain,
( ~ activity_occurrence(sK18(tptp0,sK20,sK21))
| spl22_11 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f465,definition,
( spl22_12
<=> occurrence_of(sK18(tptp0,sK20,sK21),sK15(tptp0,sK20,sK21)) ),
introduced(definition,[new_symbols(definition,[spl22_12])],[avatar_definition]) ).
fof(f467,plain,
( occurrence_of(sK18(tptp0,sK20,sK21),sK15(tptp0,sK20,sK21))
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f468,plain,
( ~ spl22_11
| spl22_12 ),
inference(avatar_split_clause,[],[f459,f465,f461]) ).
fof(f470,plain,
! [X0] :
( ~ occurrence_of(X0,sK19)
| tptp0 = sK0(sK7(tptp0,sK20,sK18(tptp0,sK20,X0))) ),
inference(resolution,[],[f450,f274]) ).
fof(f475,plain,
tptp0 = sK0(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),
inference(resolution,[],[f470,f230]) ).
fof(f479,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sK0(X0) = sK11(sK13(X0),X0) ),
inference(resolution,[],[f448,f200]) ).
fof(f547,plain,
( ~ occurrence_of(sK21,sK19)
| spl22_11 ),
inference(resolution,[],[f298,f463]) ).
fof(f548,plain,
( $false
| spl22_11 ),
inference(forward_subsumption_resolution,[],[f547,f230]) ).
fof(f549,plain,
spl22_11,
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f557,plain,
( ! [X0] :
( ~ occurrence_of(sK18(tptp0,sK20,sK21),X0)
| sK15(tptp0,sK20,sK21) = X0 )
| ~ spl22_12 ),
inference(resolution,[],[f467,f141]) ).
fof(f582,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X3,sK7(X2,X0,X1))
| sK12(X3,sK7(X2,X0,X1)) = X2
| ~ min_precedes(X0,X1,X2) ),
inference(resolution,[],[f290,f196]) ).
fof(f586,plain,
! [X2,X0,X1] :
( ~ occurrence_of(sK7(X0,X1,X2),tptp0)
| ~ min_precedes(X1,X2,X0)
| sK12(sK14(sK7(X0,X1,X2)),sK7(X0,X1,X2)) = X0 ),
inference(resolution,[],[f582,f198]) ).
fof(f750,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| ~ atomic(sK6(X0,X1))
| arboreal(X0) ),
inference(resolution,[],[f172,f147]) ).
fof(f761,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| arboreal(X0) ),
inference(forward_subsumption_resolution,[],[f750,f173]) ).
fof(f763,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X0,X2)
| arboreal(X0) ),
inference(resolution,[],[f761,f153]) ).
fof(f871,definition,
( spl22_20
<=> occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_20])],[avatar_definition]) ).
fof(f872,plain,
( ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),tptp0)
| spl22_20 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f873,plain,
( occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),tptp0)
| ~ spl22_20 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f949,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| tptp2 = sK0(sK14(X0))
| tptp3 = sK0(sK14(X0)) ),
inference(resolution,[],[f452,f445]) ).
fof(f975,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| tptp0 = sK12(sK14(sK7(tptp0,X0,X1)),sK7(tptp0,X0,X1))
| ~ min_precedes(X0,X1,tptp0) ),
inference(resolution,[],[f586,f180]) ).
fof(f976,plain,
! [X0,X1] :
( ~ min_precedes(X0,X1,tptp0)
| tptp0 = sK12(sK14(sK7(tptp0,X0,X1)),sK7(tptp0,X0,X1)) ),
inference(duplicate_literal_removal,[],[f975]) ).
fof(f978,plain,
! [X0] :
( ~ occurrence_of(X0,sK19)
| tptp0 = sK12(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,X0))),sK7(tptp0,sK20,sK18(tptp0,sK20,X0))) ),
inference(resolution,[],[f976,f274]) ).
fof(f994,plain,
tptp0 = sK12(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),
inference(resolution,[],[f978,f230]) ).
fof(f995,plain,
( leaf(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| ~ leaf_occ(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))) ),
inference(superposition,[],[f194,f994]) ).
fof(f998,definition,
( spl22_23
<=> leaf_occ(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))) ),
introduced(definition,[new_symbols(definition,[spl22_23])],[avatar_definition]) ).
fof(f999,plain,
( leaf_occ(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| ~ spl22_23 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1000,plain,
( ~ leaf_occ(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| spl22_23 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1003,definition,
( spl22_24
<=> leaf(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_24])],[avatar_definition]) ).
fof(f1005,plain,
( leaf(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| ~ spl22_24 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1006,plain,
( ~ spl22_23
| spl22_24 ),
inference(avatar_split_clause,[],[f995,f1003,f998]) ).
fof(f1007,plain,
( ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),tptp0)
| spl22_23 ),
inference(resolution,[],[f1000,f198]) ).
fof(f1008,plain,
( ~ spl22_20
| spl22_23 ),
inference(avatar_split_clause,[],[f1007,f998,f871]) ).
fof(f1009,plain,
( ~ min_precedes(sK20,sK18(tptp0,sK20,sK21),tptp0)
| spl22_20 ),
inference(resolution,[],[f872,f180]) ).
fof(f1010,plain,
( ~ occurrence_of(sK21,sK19)
| spl22_20 ),
inference(resolution,[],[f1009,f274]) ).
fof(f1013,plain,
( $false
| spl22_20 ),
inference(forward_subsumption_resolution,[],[f1010,f230]) ).
fof(f1014,plain,
spl22_20,
inference(avatar_contradiction_clause,[],[f1013]) ).
fof(f1033,plain,
( sK0(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))) = sK11(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| ~ spl22_20 ),
inference(resolution,[],[f873,f479]) ).
fof(f1034,plain,
( tptp2 = sK0(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| tptp3 = sK0(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| ~ spl22_20 ),
inference(resolution,[],[f873,f949]) ).
fof(f1045,definition,
( spl22_27
<=> tptp3 = sK0(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))) ),
introduced(definition,[new_symbols(definition,[spl22_27])],[avatar_definition]) ).
fof(f1047,plain,
( tptp3 = sK0(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| ~ spl22_27 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f1049,definition,
( spl22_28
<=> tptp2 = sK0(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))) ),
introduced(definition,[new_symbols(definition,[spl22_28])],[avatar_definition]) ).
fof(f1051,plain,
( tptp2 = sK0(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| ~ spl22_28 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1052,plain,
( spl22_27
| spl22_28
| ~ spl22_20 ),
inference(avatar_split_clause,[],[f1034,f871,f1049,f1045]) ).
fof(f1053,plain,
( tptp0 = sK11(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| ~ spl22_20 ),
inference(forward_demodulation,[],[f1033,f475]) ).
fof(f1060,plain,
( subactivity_occurrence(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| ~ spl22_23 ),
inference(resolution,[],[f999,f195]) ).
fof(f1063,plain,
( root(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| ~ root_occ(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| ~ spl22_20 ),
inference(superposition,[],[f191,f1053]) ).
fof(f1066,definition,
( spl22_29
<=> root_occ(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))) ),
introduced(definition,[new_symbols(definition,[spl22_29])],[avatar_definition]) ).
fof(f1067,plain,
( root_occ(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| ~ spl22_29 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1068,plain,
( ~ root_occ(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| spl22_29 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1070,definition,
( spl22_30
<=> root(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_30])],[avatar_definition]) ).
fof(f1072,plain,
( root(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| ~ spl22_30 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f1073,plain,
( ~ spl22_29
| spl22_30
| ~ spl22_20 ),
inference(avatar_split_clause,[],[f1063,f871,f1070,f1066]) ).
fof(f1074,plain,
( ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),tptp0)
| spl22_29 ),
inference(resolution,[],[f1068,f200]) ).
fof(f1075,plain,
( $false
| ~ spl22_20
| spl22_29 ),
inference(forward_subsumption_resolution,[],[f1074,f873]) ).
fof(f1076,plain,
( ~ spl22_20
| spl22_29 ),
inference(avatar_contradiction_clause,[],[f1075]) ).
fof(f1082,plain,
( subactivity_occurrence(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| ~ spl22_29 ),
inference(resolution,[],[f1067,f192]) ).
fof(f1085,plain,
( ! [X0] :
( min_precedes(sK18(tptp0,sK20,sK21),sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),X0)
| sK18(tptp0,sK20,sK21) = sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),X0)
| ~ arboreal(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| ~ arboreal(sK18(tptp0,sK20,sK21))
| ~ min_precedes(sK20,sK18(tptp0,sK20,sK21),tptp0)
| min_precedes(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK18(tptp0,sK20,sK21),X0) )
| ~ spl22_23 ),
inference(resolution,[],[f1060,f249]) ).
fof(f1089,plain,
( activity_occurrence(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| ~ spl22_23 ),
inference(resolution,[],[f1060,f177]) ).
fof(f1094,definition,
( spl22_31
<=> arboreal(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))) ),
introduced(definition,[new_symbols(definition,[spl22_31])],[avatar_definition]) ).
fof(f1096,plain,
( ~ arboreal(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| spl22_31 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1101,plain,
( ! [X0] :
( min_precedes(sK18(tptp0,sK20,sK21),sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),X0)
| sK18(tptp0,sK20,sK21) = sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),X0)
| ~ arboreal(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| ~ min_precedes(sK20,sK18(tptp0,sK20,sK21),tptp0)
| min_precedes(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK18(tptp0,sK20,sK21),X0) )
| ~ spl22_23 ),
inference(forward_subsumption_resolution,[],[f1085,f763]) ).
fof(f1104,definition,
( spl22_33
<=> min_precedes(sK20,sK18(tptp0,sK20,sK21),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_33])],[avatar_definition]) ).
fof(f1105,plain,
( min_precedes(sK20,sK18(tptp0,sK20,sK21),tptp0)
| ~ spl22_33 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1106,plain,
( ~ min_precedes(sK20,sK18(tptp0,sK20,sK21),tptp0)
| spl22_33 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1108,definition,
( spl22_34
<=> sK18(tptp0,sK20,sK21) = sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))) ),
introduced(definition,[new_symbols(definition,[spl22_34])],[avatar_definition]) ).
fof(f1110,plain,
( sK18(tptp0,sK20,sK21) = sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| ~ spl22_34 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f1112,definition,
( spl22_35
<=> ! [X0] :
( min_precedes(sK18(tptp0,sK20,sK21),sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),X0)
| min_precedes(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK18(tptp0,sK20,sK21),X0)
| ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_35])],[avatar_definition]) ).
fof(f1113,plain,
( ! [X0] :
( min_precedes(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK18(tptp0,sK20,sK21),X0)
| min_precedes(sK18(tptp0,sK20,sK21),sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),X0)
| ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),X0) )
| ~ spl22_35 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f1114,plain,
( ~ spl22_33
| ~ spl22_31
| spl22_34
| spl22_35
| ~ spl22_23 ),
inference(avatar_split_clause,[],[f1101,f998,f1112,f1108,f1094,f1104]) ).
fof(f1133,plain,
( occurrence_of(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp3)
| ~ activity_occurrence(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| ~ spl22_27 ),
inference(superposition,[],[f139,f1047]) ).
fof(f1134,plain,
( occurrence_of(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp3)
| ~ spl22_23
| ~ spl22_27 ),
inference(forward_subsumption_resolution,[],[f1133,f1089]) ).
fof(f1140,plain,
( ~ atomic(tptp3)
| arboreal(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| ~ spl22_23
| ~ spl22_27 ),
inference(resolution,[],[f1134,f147]) ).
fof(f1142,plain,
( arboreal(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| ~ spl22_23
| ~ spl22_27 ),
inference(forward_subsumption_resolution,[],[f1140,f205]) ).
fof(f1143,plain,
( $false
| ~ spl22_23
| ~ spl22_27
| spl22_31 ),
inference(forward_subsumption_resolution,[],[f1142,f1096]) ).
fof(f1144,plain,
( ~ spl22_23
| ~ spl22_27
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f1143]) ).
fof(f1146,plain,
( ! [X0] :
( min_precedes(sK18(tptp0,sK20,sK21),sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),X0)
| sK18(tptp0,sK20,sK21) = sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),X0)
| ~ arboreal(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| ~ arboreal(sK18(tptp0,sK20,sK21))
| ~ min_precedes(sK20,sK18(tptp0,sK20,sK21),tptp0)
| min_precedes(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK18(tptp0,sK20,sK21),X0) )
| ~ spl22_29 ),
inference(resolution,[],[f1082,f249]) ).
fof(f1155,plain,
( ! [X0] :
( min_precedes(sK18(tptp0,sK20,sK21),sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),X0)
| sK18(tptp0,sK20,sK21) = sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),X0)
| ~ arboreal(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| ~ min_precedes(sK20,sK18(tptp0,sK20,sK21),tptp0)
| min_precedes(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK18(tptp0,sK20,sK21),X0) )
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f1146,f763]) ).
fof(f1157,plain,
( ! [X0] :
( min_precedes(sK18(tptp0,sK20,sK21),sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),X0)
| sK18(tptp0,sK20,sK21) = sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),X0)
| ~ min_precedes(sK20,sK18(tptp0,sK20,sK21),tptp0)
| min_precedes(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK18(tptp0,sK20,sK21),X0) )
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f1155,f432]) ).
fof(f1160,definition,
( spl22_40
<=> sK18(tptp0,sK20,sK21) = sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))) ),
introduced(definition,[new_symbols(definition,[spl22_40])],[avatar_definition]) ).
fof(f1162,plain,
( sK18(tptp0,sK20,sK21) = sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))
| ~ spl22_40 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1164,definition,
( spl22_41
<=> ! [X0] :
( min_precedes(sK18(tptp0,sK20,sK21),sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),X0)
| min_precedes(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK18(tptp0,sK20,sK21),X0)
| ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_41])],[avatar_definition]) ).
fof(f1165,plain,
( ! [X0] :
( min_precedes(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK18(tptp0,sK20,sK21),X0)
| min_precedes(sK18(tptp0,sK20,sK21),sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),X0)
| ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),X0) )
| ~ spl22_41 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1166,plain,
( ~ spl22_33
| spl22_40
| spl22_41
| ~ spl22_29 ),
inference(avatar_split_clause,[],[f1157,f1066,f1164,f1160,f1104]) ).
fof(f1175,plain,
( ~ occurrence_of(sK21,sK19)
| spl22_33 ),
inference(resolution,[],[f1106,f274]) ).
fof(f1178,plain,
( $false
| spl22_33 ),
inference(forward_subsumption_resolution,[],[f1175,f230]) ).
fof(f1179,plain,
spl22_33,
inference(avatar_contradiction_clause,[],[f1178]) ).
fof(f1257,plain,
( ~ root(sK18(tptp0,sK20,sK21),tptp0)
| ~ spl22_33 ),
inference(resolution,[],[f1105,f161]) ).
fof(f1477,definition,
( spl22_57
<=> min_precedes(sK18(tptp0,sK20,sK21),sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_57])],[avatar_definition]) ).
fof(f1478,plain,
( ~ min_precedes(sK18(tptp0,sK20,sK21),sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| spl22_57 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f1493,plain,
( occurrence_of(sK18(tptp0,sK20,sK21),tptp2)
| occurrence_of(sK18(tptp0,sK20,sK21),tptp3)
| ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),tptp0)
| ~ spl22_34 ),
inference(superposition,[],[f199,f1110]) ).
fof(f1521,plain,
( occurrence_of(sK18(tptp0,sK20,sK21),tptp2)
| occurrence_of(sK18(tptp0,sK20,sK21),tptp3)
| ~ spl22_20
| ~ spl22_34 ),
inference(forward_subsumption_resolution,[],[f1493,f873]) ).
fof(f1545,definition,
( spl22_61
<=> occurrence_of(sK18(tptp0,sK20,sK21),tptp3) ),
introduced(definition,[new_symbols(definition,[spl22_61])],[avatar_definition]) ).
fof(f1547,plain,
( occurrence_of(sK18(tptp0,sK20,sK21),tptp3)
| ~ spl22_61 ),
inference(avatar_component_clause,[],[f1545]) ).
fof(f1554,definition,
( spl22_63
<=> occurrence_of(sK18(tptp0,sK20,sK21),tptp2) ),
introduced(definition,[new_symbols(definition,[spl22_63])],[avatar_definition]) ).
fof(f1556,plain,
( occurrence_of(sK18(tptp0,sK20,sK21),tptp2)
| ~ spl22_63 ),
inference(avatar_component_clause,[],[f1554]) ).
fof(f1561,definition,
( spl22_64
<=> tptp2 = sK15(tptp0,sK20,sK21) ),
introduced(definition,[new_symbols(definition,[spl22_64])],[avatar_definition]) ).
fof(f1562,plain,
( tptp2 != sK15(tptp0,sK20,sK21)
| spl22_64 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f1563,plain,
( tptp2 = sK15(tptp0,sK20,sK21)
| ~ spl22_64 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f1826,plain,
( occurrence_of(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp2)
| ~ activity_occurrence(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| ~ spl22_28 ),
inference(superposition,[],[f139,f1051]) ).
fof(f1827,plain,
( occurrence_of(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp2)
| ~ spl22_23
| ~ spl22_28 ),
inference(forward_subsumption_resolution,[],[f1826,f1089]) ).
fof(f1833,plain,
( ~ atomic(tptp2)
| arboreal(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| ~ spl22_23
| ~ spl22_28 ),
inference(resolution,[],[f1827,f147]) ).
fof(f1836,plain,
( min_precedes(sK18(tptp0,sK20,sK21),sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),tptp0)
| ~ min_precedes(sK18(tptp0,sK20,sK21),sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),tptp0)
| ~ spl22_41 ),
inference(resolution,[],[f1165,f271]) ).
fof(f1853,plain,
( min_precedes(sK18(tptp0,sK20,sK21),sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),tptp0)
| ~ min_precedes(sK18(tptp0,sK20,sK21),sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| ~ spl22_41 ),
inference(duplicate_literal_removal,[],[f1836]) ).
fof(f1862,plain,
( min_precedes(sK18(tptp0,sK20,sK21),sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| ~ min_precedes(sK18(tptp0,sK20,sK21),sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| ~ spl22_20
| ~ spl22_41 ),
inference(forward_subsumption_resolution,[],[f1853,f873]) ).
fof(f1886,plain,
( spl22_61
| spl22_63
| ~ spl22_20
| ~ spl22_34 ),
inference(avatar_split_clause,[],[f1521,f1108,f871,f1554,f1545]) ).
fof(f1900,definition,
( spl22_83
<=> min_precedes(sK18(tptp0,sK20,sK21),sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_83])],[avatar_definition]) ).
fof(f1902,plain,
( min_precedes(sK18(tptp0,sK20,sK21),sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| ~ spl22_83 ),
inference(avatar_component_clause,[],[f1900]) ).
fof(f1905,plain,
( ~ spl22_57
| spl22_83
| ~ spl22_20
| ~ spl22_41 ),
inference(avatar_split_clause,[],[f1862,f1164,f871,f1900,f1477]) ).
fof(f1906,plain,
( arboreal(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))))
| ~ spl22_23
| ~ spl22_28 ),
inference(forward_subsumption_resolution,[],[f1833,f206]) ).
fof(f1908,plain,
( $false
| ~ spl22_23
| ~ spl22_28
| spl22_31 ),
inference(forward_subsumption_resolution,[],[f1906,f1096]) ).
fof(f1909,plain,
( ~ spl22_23
| ~ spl22_28
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f1908]) ).
fof(f1958,plain,
( tptp2 = sK15(tptp0,sK20,sK21)
| ~ occurrence_of(sK21,sK19)
| ~ spl22_63 ),
inference(resolution,[],[f1556,f240]) ).
fof(f1970,plain,
( send_message(tptp2,sK16(tptp0,sK20,sK21),sK17(tptp0,sK20,sK21),sK20,tptp0)
| ~ occurrence_of(sK21,sK19)
| ~ spl22_64 ),
inference(superposition,[],[f235,f1563]) ).
fof(f1985,plain,
( ~ occurrence_of(sK21,sK19)
| ~ spl22_64 ),
inference(forward_subsumption_resolution,[],[f1970,f234]) ).
fof(f1986,plain,
( $false
| ~ spl22_64 ),
inference(forward_subsumption_resolution,[],[f1985,f230]) ).
fof(f1987,plain,
~ spl22_64,
inference(avatar_contradiction_clause,[],[f1986]) ).
fof(f1990,plain,
( ~ occurrence_of(sK21,sK19)
| ~ spl22_63
| spl22_64 ),
inference(forward_subsumption_resolution,[],[f1958,f1562]) ).
fof(f1993,plain,
( $false
| ~ spl22_63
| spl22_64 ),
inference(forward_subsumption_resolution,[],[f1990,f230]) ).
fof(f1994,plain,
( ~ spl22_63
| spl22_64 ),
inference(avatar_contradiction_clause,[],[f1993]) ).
fof(f2011,plain,
( tptp3 = sK15(tptp0,sK20,sK21)
| ~ spl22_12
| ~ spl22_61 ),
inference(resolution,[],[f1547,f557]) ).
fof(f2051,plain,
( send_message(tptp3,sK16(tptp0,sK20,sK21),sK17(tptp0,sK20,sK21),sK20,tptp0)
| ~ occurrence_of(sK21,sK19)
| ~ spl22_12
| ~ spl22_61 ),
inference(superposition,[],[f235,f2011]) ).
fof(f2066,plain,
( ~ occurrence_of(sK21,sK19)
| ~ spl22_12
| ~ spl22_61 ),
inference(forward_subsumption_resolution,[],[f2051,f233]) ).
fof(f2067,plain,
( $false
| ~ spl22_12
| ~ spl22_61 ),
inference(forward_subsumption_resolution,[],[f2066,f230]) ).
fof(f2068,plain,
( ~ spl22_12
| ~ spl22_61 ),
inference(avatar_contradiction_clause,[],[f2067]) ).
fof(f2167,plain,
( ~ root(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| ~ spl22_83 ),
inference(resolution,[],[f1902,f161]) ).
fof(f2178,plain,
( $false
| ~ spl22_30
| ~ spl22_83 ),
inference(forward_subsumption_resolution,[],[f2167,f1072]) ).
fof(f2179,plain,
( ~ spl22_30
| ~ spl22_83 ),
inference(avatar_contradiction_clause,[],[f2178]) ).
fof(f2336,definition,
( spl22_99
<=> min_precedes(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK18(tptp0,sK20,sK21),tptp0) ),
introduced(definition,[new_symbols(definition,[spl22_99])],[avatar_definition]) ).
fof(f2337,plain,
( min_precedes(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK18(tptp0,sK20,sK21),tptp0)
| ~ spl22_99 ),
inference(avatar_component_clause,[],[f2336]) ).
fof(f2338,plain,
( ~ min_precedes(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK18(tptp0,sK20,sK21),tptp0)
| spl22_99 ),
inference(avatar_component_clause,[],[f2336]) ).
fof(f3211,plain,
( min_precedes(sK18(tptp0,sK20,sK21),sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),tptp0)
| ~ spl22_35
| spl22_99 ),
inference(resolution,[],[f2338,f1113]) ).
fof(f3218,plain,
( ~ occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),tptp0)
| ~ spl22_35
| spl22_57
| spl22_99 ),
inference(forward_subsumption_resolution,[],[f3211,f1478]) ).
fof(f3221,plain,
( $false
| ~ spl22_20
| ~ spl22_35
| spl22_57
| spl22_99 ),
inference(forward_subsumption_resolution,[],[f3218,f873]) ).
fof(f3222,plain,
( ~ spl22_20
| ~ spl22_35
| spl22_57
| spl22_99 ),
inference(avatar_contradiction_clause,[],[f3221]) ).
fof(f3238,plain,
( ~ leaf(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),tptp0)
| ~ spl22_99 ),
inference(resolution,[],[f2337,f168]) ).
fof(f3245,plain,
( $false
| ~ spl22_24
| ~ spl22_99 ),
inference(forward_subsumption_resolution,[],[f3238,f1005]) ).
fof(f3246,plain,
( ~ spl22_24
| ~ spl22_99 ),
inference(avatar_contradiction_clause,[],[f3245]) ).
fof(f3258,plain,
( root(sK18(tptp0,sK20,sK21),tptp0)
| ~ spl22_30
| ~ spl22_40 ),
inference(superposition,[],[f1072,f1162]) ).
fof(f3337,plain,
( $false
| ~ spl22_30
| ~ spl22_33
| ~ spl22_40 ),
inference(forward_subsumption_resolution,[],[f3258,f1257]) ).
fof(f3338,plain,
( ~ spl22_30
| ~ spl22_33
| ~ spl22_40 ),
inference(avatar_contradiction_clause,[],[f3337]) ).
cnf(s6,plain,
( ~ spl22_11
| spl22_12 ),
inference(sat_conversion,[],[f468]) ).
cnf(s7,plain,
spl22_11,
inference(sat_conversion,[],[f549]) ).
cnf(s25,plain,
( ~ spl22_23
| spl22_24 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s26,plain,
( ~ spl22_20
| spl22_23 ),
inference(sat_conversion,[],[f1008]) ).
cnf(s27,plain,
spl22_20,
inference(sat_conversion,[],[f1014]) ).
cnf(s30,plain,
( ~ spl22_20
| spl22_27
| spl22_28 ),
inference(sat_conversion,[],[f1052]) ).
cnf(s31,plain,
( ~ spl22_20
| ~ spl22_29
| spl22_30 ),
inference(sat_conversion,[],[f1073]) ).
cnf(s32,plain,
( ~ spl22_20
| spl22_29 ),
inference(sat_conversion,[],[f1076]) ).
cnf(s34,plain,
( ~ spl22_23
| ~ spl22_31
| ~ spl22_33
| spl22_34
| spl22_35 ),
inference(sat_conversion,[],[f1114]) ).
cnf(s37,plain,
( ~ spl22_23
| ~ spl22_27
| spl22_31 ),
inference(sat_conversion,[],[f1144]) ).
cnf(s39,plain,
( ~ spl22_29
| ~ spl22_33
| spl22_40
| spl22_41 ),
inference(sat_conversion,[],[f1166]) ).
cnf(s41,plain,
spl22_33,
inference(sat_conversion,[],[f1179]) ).
cnf(s85,plain,
( ~ spl22_20
| ~ spl22_34
| spl22_61
| spl22_63 ),
inference(sat_conversion,[],[f1886]) ).
cnf(s90,plain,
( ~ spl22_20
| ~ spl22_41
| ~ spl22_57
| spl22_83 ),
inference(sat_conversion,[],[f1905]) ).
cnf(s91,plain,
( ~ spl22_23
| ~ spl22_28
| spl22_31 ),
inference(sat_conversion,[],[f1909]) ).
cnf(s98,plain,
~ spl22_64,
inference(sat_conversion,[],[f1987]) ).
cnf(s101,plain,
( ~ spl22_63
| spl22_64 ),
inference(sat_conversion,[],[f1994]) ).
cnf(s106,plain,
( ~ spl22_12
| ~ spl22_61 ),
inference(sat_conversion,[],[f2068]) ).
cnf(s116,plain,
( ~ spl22_30
| ~ spl22_83 ),
inference(sat_conversion,[],[f2179]) ).
cnf(s187,plain,
( ~ spl22_20
| ~ spl22_35
| spl22_57
| spl22_99 ),
inference(sat_conversion,[],[f3222]) ).
cnf(s190,plain,
( ~ spl22_24
| ~ spl22_99 ),
inference(sat_conversion,[],[f3246]) ).
cnf(s194,plain,
( ~ spl22_30
| ~ spl22_33
| ~ spl22_40 ),
inference(sat_conversion,[],[f3338]) ).
cnf(s196,plain,
~ spl22_63,
inference(rat,[],[s101,s98]) ).
cnf(s199,plain,
( ~ spl22_20
| ~ spl22_34
| spl22_61 ),
inference(rat,[],[s85,s196]) ).
cnf(s205,plain,
( ~ spl22_29
| spl22_40
| spl22_41 ),
inference(rat,[],[s39,s41]) ).
cnf(s207,plain,
( ~ spl22_23
| ~ spl22_31
| spl22_34
| spl22_35 ),
inference(rat,[],[s34,s41]) ).
cnf(s208,plain,
spl22_29,
inference(rat,[],[s32,s27]) ).
cnf(s211,plain,
spl22_30,
inference(rat,[],[s31,s27,s208]) ).
cnf(s213,plain,
~ spl22_40,
inference(rat,[],[s194,s41,s211]) ).
cnf(s215,plain,
~ spl22_83,
inference(rat,[],[s116,s211]) ).
cnf(s216,plain,
spl22_41,
inference(rat,[],[s205,s208,s213]) ).
cnf(s219,plain,
~ spl22_57,
inference(rat,[],[s90,s215,s27,s216]) ).
cnf(s229,plain,
spl22_23,
inference(rat,[],[s26,s27]) ).
cnf(s230,plain,
spl22_24,
inference(rat,[],[s25,s229]) ).
cnf(s231,plain,
~ spl22_99,
inference(rat,[],[s190,s230]) ).
cnf(s232,plain,
~ spl22_35,
inference(rat,[],[s187,s219,s27,s231]) ).
cnf(s236,plain,
spl22_12,
inference(rat,[],[s6,s7]) ).
cnf(s237,plain,
~ spl22_61,
inference(rat,[],[s106,s236]) ).
cnf(s239,plain,
~ spl22_34,
inference(rat,[],[s199,s27,s237]) ).
cnf(s240,plain,
~ spl22_31,
inference(rat,[],[s207,s232,s229,s239]) ).
cnf(s243,plain,
~ spl22_28,
inference(rat,[],[s91,s229,s240]) ).
cnf(s244,plain,
~ spl22_27,
inference(rat,[],[s37,s229,s240]) ).
cnf(s246,plain,
$false,
inference(rat,[],[s30,s27,s243,s244]) ).
fof(f3341,plain,
$false,
inference(avatar_sat_refutation,[],[s246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO002+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:16:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.39/2.54 % (3817018)Detected formulas, will run a generic FOF schedule.
% 10.39/2.54 % (3817037)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2045026260:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.39/2.54 % (3817037)Refutation not found, incomplete strategy
% 10.39/2.54 % (3817037)------------------------------
% 10.39/2.54 % (3817037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.54 % (3817037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.54 % (3817037)CaDiCaL version: 2.1.3
% 10.39/2.54 % (3817037)Termination reason: Refutation not found, incomplete strategy
% 10.39/2.54 % (3817037)Time elapsed: 0.001 s
% 10.39/2.54 % (3817037)Peak memory usage: 87 MB
% 10.39/2.54 % (3817038)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2494516206:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.39/2.54 % (3817036)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=2274716050:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.39/2.54 % (3817035)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=2632177520:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.39/2.54 % (3817034)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=203606244:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.39/2.54 % (3817038)Instruction limit reached!
% 10.39/2.54 % (3817038)------------------------------
% 10.39/2.54 % (3817038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.54 % (3817038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.54 % (3817038)CaDiCaL version: 2.1.3
% 10.39/2.54 % (3817038)Termination reason: Instruction limit
% 10.39/2.54 % (3817038)Termination phase: Saturation
% 10.39/2.54 % (3817038)Time elapsed: 0.061 s
% 10.39/2.54 % (3817038)Peak memory usage: 88 MB
% 10.39/2.54 % (3817038)Instructions burned: 120 (million)
% 10.39/2.54 % (3817039)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3330139653:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.39/2.54 % (3817041)dis-21_1_sil=8000:lcm=predicate:random_seed=1457796237:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.39/2.54 % (3817039)Instruction limit reached!
% 10.39/2.54 % (3817039)------------------------------
% 10.39/2.54 % (3817039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.54 % (3817039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.54 % (3817039)CaDiCaL version: 2.1.3
% 10.39/2.54 % (3817039)Termination reason: Instruction limit
% 10.39/2.54 % (3817039)Termination phase: Saturation
% 10.39/2.54 % (3817039)Time elapsed: 0.113 s
% 10.39/2.54 % (3817039)Peak memory usage: 90 MB
% 10.39/2.54 % (3817039)Instructions burned: 139 (million)
% 10.39/2.54 % (3817041)Instruction limit reached!
% 10.39/2.54 % (3817041)------------------------------
% 10.39/2.54 % (3817041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.54 % (3817041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.54 % (3817041)CaDiCaL version: 2.1.3
% 10.39/2.54 % (3817041)Termination reason: Instruction limit
% 10.39/2.54 % (3817041)Termination phase: Saturation
% 10.39/2.54 % (3817041)Time elapsed: 0.135 s
% 10.39/2.54 % (3817041)Peak memory usage: 89 MB
% 10.39/2.54 % (3817041)Instructions burned: 129 (million)
% 10.39/2.54 % (3817037)------------------------------
% 10.39/2.54 % (3817037)------------------------------
% 10.39/2.54 % (3817053)lrs+10_1_sil=8000:sp=occurrence:random_seed=2101110766:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.39/2.54 % (3817058)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=2494370802:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 10.39/2.54 % (3817055)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1975220191:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 10.39/2.54 % (3817055)Refutation not found, incomplete strategy
% 10.39/2.54 % (3817055)------------------------------
% 10.39/2.54 % (3817055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.54 % (3817055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.54 % (3817055)CaDiCaL version: 2.1.3
% 10.39/2.54 % (3817055)Termination reason: Refutation not found, incomplete strategy
% 10.39/2.54 % (3817055)Time elapsed: 0.001 s
% 10.39/2.54 % (3817055)Peak memory usage: 88 MB
% 10.39/2.54 % (3817055)Instructions burned: 1 (million)
% 10.39/2.54 % (3817057)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4001609302:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.39/2.54 % (3817058)Instruction limit reached!
% 10.39/2.54 % (3817058)------------------------------
% 10.39/2.54 % (3817058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.54 % (3817058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.54 % (3817058)CaDiCaL version: 2.1.3
% 10.39/2.54 % (3817058)Termination reason: Instruction limit
% 10.39/2.54 % (3817058)Termination phase: Saturation
% 10.39/2.54 % (3817058)Time elapsed: 0.074 s
% 10.39/2.54 % (3817058)Peak memory usage: 90 MB
% 10.39/2.54 % (3817058)Instructions burned: 248 (million)
% 10.39/2.54 % (3817053)Instruction limit reached!
% 10.39/2.54 % (3817053)------------------------------
% 10.39/2.54 % (3817053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.54 % (3817053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.54 % (3817053)CaDiCaL version: 2.1.3
% 10.39/2.54 % (3817053)Termination reason: Instruction limit
% 10.39/2.54 % (3817053)Termination phase: Saturation
% 10.39/2.54 % (3817053)Time elapsed: 0.190 s
% 10.39/2.54 % (3817053)Peak memory usage: 92 MB
% 10.39/2.54 % (3817053)Instructions burned: 287 (million)
% 10.39/2.54 % (3817063)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=480341656:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 10.39/2.54 % (3817063)Refutation not found, incomplete strategy
% 10.39/2.54 % (3817063)------------------------------
% 10.39/2.54 % (3817063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.54 % (3817063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.54 % (3817063)CaDiCaL version: 2.1.3
% 10.39/2.54 % (3817063)Termination reason: Refutation not found, incomplete strategy
% 10.39/2.54 % (3817063)Time elapsed: 0.002 s
% 10.39/2.54 % (3817063)Peak memory usage: 88 MB
% 10.39/2.54 % (3817063)Instructions burned: 5 (million)
% 10.39/2.54 % (3817055)------------------------------
% 10.39/2.54 % (3817055)------------------------------
% 10.39/2.54 % (3817057)Instruction limit reached!
% 10.39/2.54 % (3817057)------------------------------
% 10.39/2.54 % (3817057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.54 % (3817057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.54 % (3817057)CaDiCaL version: 2.1.3
% 10.39/2.54 % (3817057)Termination reason: Instruction limit
% 10.39/2.54 % (3817057)Termination phase: Saturation
% 10.39/2.54 % (3817057)Time elapsed: 0.219 s
% 10.39/2.54 % (3817057)Peak memory usage: 92 MB
% 10.39/2.54 % (3817057)Instructions burned: 325 (million)
% 10.39/2.54 % (3817064)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3913769644:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.39/2.54 % (3817063)------------------------------
% 10.39/2.54 % (3817063)------------------------------
% 10.39/2.54 % (3817069)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1750239744:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 10.39/2.54 % (3817067)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1654022843:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 10.39/2.54 % (3817070)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3232265796:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.39/2.54 % (3817070)Refutation not found, incomplete strategy
% 10.39/2.54 % (3817070)------------------------------
% 10.39/2.54 % (3817070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.54 % (3817070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.54 % (3817070)CaDiCaL version: 2.1.3
% 10.39/2.54 % (3817070)Termination reason: Refutation not found, incomplete strategy
% 10.39/2.54 % (3817070)Time elapsed: 0.001 s
% 10.39/2.54 % (3817070)Peak memory usage: 88 MB
% 10.39/2.54 % (3817069)Instruction limit reached!
% 10.39/2.54 % (3817069)------------------------------
% 10.39/2.54 % (3817069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.54 % (3817069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.54 % (3817069)CaDiCaL version: 2.1.3
% 10.39/2.54 % (3817069)Termination reason: Instruction limit
% 10.39/2.54 % (3817069)Termination phase: Saturation
% 10.39/2.54 % (3817069)Time elapsed: 0.070 s
% 10.39/2.54 % (3817069)Peak memory usage: 89 MB
% 10.39/2.54 % (3817069)Instructions burned: 127 (million)
% 10.39/2.54 % (3817067)Instruction limit reached!
% 10.39/2.54 % (3817067)------------------------------
% 10.39/2.54 % (3817067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.54 % (3817067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.54 % (3817067)CaDiCaL version: 2.1.3
% 10.39/2.54 % (3817067)Termination reason: Instruction limit
% 10.39/2.54 % (3817067)Termination phase: Saturation
% 10.39/2.54 % (3817067)Time elapsed: 0.086 s
% 10.39/2.54 % (3817067)Peak memory usage: 90 MB
% 10.39/2.54 % (3817067)Instructions burned: 113 (million)
% 10.39/2.54 % (3817070)------------------------------
% 10.39/2.54 % (3817070)------------------------------
% 10.39/2.54 % (3817115)lrs+10_1_sil=8000:sp=occurrence:random_seed=4233141315:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 10.39/2.54 % (3817124)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3328831517:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 10.39/2.54 % (3817124)Refutation not found, incomplete strategy
% 10.39/2.54 % (3817124)------------------------------
% 10.39/2.54 % (3817124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.54 % (3817124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.54 % (3817124)CaDiCaL version: 2.1.3
% 10.39/2.54 % (3817124)Termination reason: Refutation not found, incomplete strategy
% 10.39/2.54 % (3817124)Time elapsed: 0.005 s
% 10.39/2.54 % (3817124)Peak memory usage: 88 MB
% 10.39/2.54 % (3817124)Instructions burned: 6 (million)
% 10.39/2.54 % (3817159)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3333102214:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 10.39/2.54 % (3817034)First to succeed.
% 10.39/2.54 % (3817034)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3817018"
% 10.39/2.54 % (3817035)Also succeeded, but the first one will report.
% 10.39/2.54 % (3817124)------------------------------
% 10.39/2.54 % (3817124)------------------------------
% 10.39/2.54 % (3817232)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3590050676:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 10.39/2.54 % (3817034)Refutation found. Thanks to Tanya!
% 10.39/2.54 % SZS status Theorem for theBenchmark
% 10.39/2.54 % SZS output start Proof for theBenchmark
% See solution above
% 11.38/2.74 % (3817034)------------------------------
% 11.38/2.74 % (3817034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.74 % (3817034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.74 % (3817034)CaDiCaL version: 2.1.3
% 11.38/2.74 % (3817034)Termination reason: Refutation
% 11.38/2.74 % (3817034)Time elapsed: 1.036 s
% 11.38/2.74 % (3817034)Peak memory usage: 134 MB
% 11.38/2.74 % (3817034)Instructions burned: 1418 (million)
% 11.38/2.74 % (3817034)------------------------------
% 11.38/2.74 % (3817034)------------------------------
% 11.38/2.74 % (3817018)Success in time 1.497 s
% 11.38/2.74 % Vampire exiting
%------------------------------------------------------------------------------