%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PRO002+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 12:30:32 PM UTC 2026
% Result : Theorem 58.28s 8.78s
% Output : Refutation 58.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 44
% Syntax : Number of formulae : 332 ( 40 unt; 19 def)
% Number of atoms : 1043 ( 80 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1245 ( 534 ~; 566 |; 97 &)
% ( 25 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 20 prp; 0-5 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 458 ( 0 sgn 418 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( occurrence_of(X1,X0)
& ~ atomic(X0) )
=> ? [X2] :
( root(X2,X0)
& subactivity_occurrence(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
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(f7,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/sandbox/benchmark/theBenchmark.p',sos_06) ).
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(f12,axiom,
! [X0,X1] :
( subactivity_occurrence(X0,X1)
=> ( activity_occurrence(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).
fof(f13,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(f14,axiom,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f17,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
fof(f18,axiom,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).
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(f22,axiom,
! [X0,X1] :
( precedes(X0,X1)
<=> ( earlier(X0,X1)
& legal(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(f23,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(f25,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> precedes(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
fof(f26,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
=> ( arboreal(X0)
& arboreal(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
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(f30,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X2,X3)
& root_occ(X0,X2)
& root_occ(X1,X2) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
fof(f33,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/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(f36,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(f47,axiom,
! [X0,X1,X2,X3,X4] :
( send_message(X0,X1,X2,X3,X4)
=> ( X0 != tptp4
& X0 != tptp3
& X0 != tptp2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).
fof(f48,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/sandbox/benchmark/theBenchmark.p',sos_47) ).
fof(f49,axiom,
! [X0,X1,X2] :
( tptp1(X0,X1,X2)
=> ( activity(X0)
& ~ atomic(X0)
& ~ atomic(X1)
& root(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).
fof(f50,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/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(f52,conjecture,
~ ? [X0,X1,X2] :
( tptp1(X0,tptp0,X1)
& occurrence_of(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f53,negated_conjecture,
~ ~ ? [X0,X1,X2] :
( tptp1(X0,tptp0,X1)
& occurrence_of(X2,X0) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f54,plain,
? [X0,X1,X2] :
( tptp1(X0,tptp0,X1)
& occurrence_of(X2,X0) ),
inference(flattening,[],[f53]) ).
fof(f58,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] : occurrence_of(X0,X1) ),
inference(pure_predicate_removal,[],[f13]) ).
fof(f59,plain,
! [X0,X1] :
( occurrence_of(X1,X0)
=> activity_occurrence(X1) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f60,plain,
! [X0,X1,X2] :
( tptp1(X0,X1,X2)
=> ( ~ atomic(X0)
& ~ atomic(X1)
& root(X2,X1) ) ),
inference(pure_predicate_removal,[],[f49]) ).
fof(f63,plain,
! [X0,X1] :
( ? [X2] :
( root(X2,X0)
& subactivity_occurrence(X2,X1) )
| ~ occurrence_of(X1,X0)
| atomic(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X2] :
( root(X2,X0)
& subactivity_occurrence(X2,X1) )
| ~ occurrence_of(X1,X0)
| atomic(X0) ),
inference(flattening,[],[f63]) ).
fof(f67,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(f68,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,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( activity_occurrence(X1)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f70,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(f71,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,[],[f70]) ).
fof(f73,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,[],[f7]) ).
fof(f76,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f77,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f76]) ).
fof(f82,plain,
! [X0,X1] :
( ( activity_occurrence(X0)
& activity_occurrence(X1) )
| ~ subactivity_occurrence(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f83,plain,
! [X0] :
( ? [X1] : occurrence_of(X0,X1)
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f84,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f87,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f88,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f92,plain,
! [X0,X1,X2] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( arboreal(X0)
& arboreal(X1) )
| ~ next_subocc(X0,X1,X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f94,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(f99,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| ~ root_occ(X1,X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| ~ root_occ(X1,X2) ),
inference(flattening,[],[f99]) ).
fof(f105,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,[],[f33]) ).
fof(f107,plain,
! [X0,X1,X2,X3,X4] :
( ( X0 != tptp4
& X0 != tptp3
& X0 != tptp2 )
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f47]) ).
fof(f108,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,[],[f48]) ).
fof(f109,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,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ( ~ atomic(X0)
& ~ atomic(X1)
& root(X2,X1) )
| ~ tptp1(X0,X1,X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f111,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,[],[f50]) ).
fof(f112,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,[],[f111]) ).
fof(f113,plain,
! [X0,X1] :
( ( root(sK0(X0,X1),X0)
& subactivity_occurrence(sK0(X0,X1),X1) )
| ~ occurrence_of(X1,X0)
| atomic(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f64]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK2(X0,X1,X2),X0)
& subactivity_occurrence(X1,sK2(X0,X1,X2))
& subactivity_occurrence(X2,sK2(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f73]) ).
fof(f117,plain,
! [X0] :
( occurrence_of(X0,sK4(X0))
| ~ activity_occurrence(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f83]) ).
fof(f123,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f87]) ).
fof(f127,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(f128,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,[],[f127]) ).
fof(f129,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ( occurrence_of(X1,sK9(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK9(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ earlier(X0,X1)
| ~ legal(X1) )
& ( ( earlier(X0,X1)
& legal(X1) )
| ~ precedes(X0,X1) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f131,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ earlier(X0,X1)
| ~ legal(X1) )
& ( ( earlier(X0,X1)
& legal(X1) )
| ~ precedes(X0,X1) ) ),
inference(flattening,[],[f130]) ).
fof(f133,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,[],[f94]) ).
fof(f134,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,[],[f133]) ).
fof(f135,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,[],[f134]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ( min_precedes(X0,sK11(X0,X1,X2),X2)
& min_precedes(sK11(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,[sK11]),skolemize(X3,sK11(X0,X1,X2))],[f135]) ).
fof(f137,plain,
! [X0] :
( ( occurrence_of(sK12(X0),tptp4)
& root_occ(sK12(X0),X0)
& ( occurrence_of(sK13(X0),tptp3)
| occurrence_of(sK13(X0),tptp2) )
& leaf_occ(sK13(X0),X0)
& next_subocc(sK12(X0),sK13(X0),tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f105]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ( send_message(sK14(X1,X2,X3),sK15(X1,X2,X3),sK16(X1,X2,X3),X2,X1)
& occurrence_of(sK17(X1,X2,X3),sK14(X1,X2,X3))
& root_occ(sK17(X1,X2,X3),X3) )
| ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17]),skolemize(X4,sK14(X1,X2,X3)),skolemize(X5,sK15(X1,X2,X3)),skolemize(X6,sK16(X1,X2,X3)),skolemize(X7,sK17(X1,X2,X3))],[f112]) ).
fof(f139,plain,
( tptp1(sK18,tptp0,sK19)
& occurrence_of(sK20,sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20)],[f54]) ).
fof(f140,plain,
! [X0,X1] :
( subactivity_occurrence(sK0(X0,X1),X1)
| ~ occurrence_of(X1,X0)
| atomic(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f141,plain,
! [X0,X1] :
( root(sK0(X0,X1),X0)
| ~ occurrence_of(X1,X0)
| atomic(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f143,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,[],[f68]) ).
fof(f144,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f145,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,[],[f71]) ).
fof(f147,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK2(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f148,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X1,sK2(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f149,plain,
! [X2,X0,X1] :
( occurrence_of(sK2(X0,X1,X2),X0)
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f77]) ).
fof(f155,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f156,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| activity_occurrence(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f157,plain,
! [X0] :
( occurrence_of(X0,sK4(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f158,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f166,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f167,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f173,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ root(X0,X2)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f177,plain,
! [X0,X1] :
( ~ precedes(X0,X1)
| legal(X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| arboreal(X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f186,plain,
! [X2,X0,X1,X4] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f188,plain,
! [X2,X0,X1] :
( min_precedes(sK11(X0,X1,X2),X1,X2)
| ~ min_precedes(X0,X1,X2)
| next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f192,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X2)
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f195,plain,
! [X0] :
( next_subocc(sK12(X0),sK13(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f196,plain,
! [X0] :
( leaf_occ(sK13(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f197,plain,
! [X0] :
( occurrence_of(sK13(X0),tptp2)
| occurrence_of(sK13(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f198,plain,
! [X0] :
( root_occ(sK12(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f199,plain,
! [X0] :
( occurrence_of(sK12(X0),tptp4)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f201,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f36]) ).
fof(f214,plain,
! [X2,X3,X0,X1,X4] :
( tptp2 != X0
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f107]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4] :
( tptp3 != X0
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f107]) ).
fof(f217,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,[],[f109]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ tptp1(X0,X1,X2)
| root(X2,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ tptp1(X0,X1,X2)
| ~ atomic(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f221,plain,
! [X2,X3,X0,X1] :
( ~ tptp1(X0,X1,X2)
| root_occ(sK17(X1,X2,X3),X3)
| ~ occurrence_of(X3,X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( ~ tptp1(X0,X1,X2)
| occurrence_of(sK17(X1,X2,X3),sK14(X1,X2,X3))
| ~ occurrence_of(X3,X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( ~ tptp1(X0,X1,X2)
| send_message(sK14(X1,X2,X3),sK15(X1,X2,X3),sK16(X1,X2,X3),X2,X1)
| ~ occurrence_of(X3,X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f225,plain,
occurrence_of(sK20,sK18),
inference(cnf_transformation,[],[f139]) ).
fof(f226,plain,
tptp1(sK18,tptp0,sK19),
inference(cnf_transformation,[],[f139]) ).
fof(f228,plain,
! [X2,X3,X1,X4] : ~ send_message(tptp3,X1,X2,X3,X4),
inference(equality_resolution,[],[f215]) ).
fof(f229,plain,
! [X2,X3,X1,X4] : ~ send_message(tptp2,X1,X2,X3,X4),
inference(equality_resolution,[],[f214]) ).
fof(f230,plain,
activity_occurrence(sK20),
inference(resolution,[],[f144,f225]) ).
fof(f233,plain,
~ atomic(sK18),
inference(resolution,[],[f220,f226]) ).
fof(f240,plain,
! [X0] :
( subactivity_occurrence(sK12(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f198,f173]) ).
fof(f241,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ atomic(tptp4)
| arboreal(sK12(X0)) ),
inference(resolution,[],[f199,f166]) ).
fof(f244,plain,
! [X0] :
( arboreal(sK12(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(forward_subsumption_resolution,[],[f241,f201]) ).
fof(f245,plain,
root(sK19,tptp0),
inference(resolution,[],[f218,f226]) ).
fof(f265,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| sK4(X0) = X1
| ~ activity_occurrence(X0) ),
inference(resolution,[],[f152,f157]) ).
fof(f271,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| sK4(X0) = X1 ),
inference(forward_subsumption_resolution,[],[f265,f144]) ).
fof(f300,plain,
! [X0,X1] :
( legal(sK0(X1,X0))
| atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(resolution,[],[f141,f167]) ).
fof(f303,plain,
! [X2,X0,X1] :
( activity_occurrence(sK2(X2,X0,X1))
| ~ min_precedes(X0,X1,X2) ),
inference(resolution,[],[f147,f155]) ).
fof(f330,plain,
! [X0,X1] :
( ~ occurrence_of(sK13(X0),X1)
| ~ occurrence_of(X0,tptp0)
| occurrence_of(sK13(X0),tptp3)
| tptp2 = X1 ),
inference(resolution,[],[f197,f152]) ).
fof(f355,plain,
! [X0] :
( root_occ(sK19,X0)
| ~ subactivity_occurrence(sK19,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f175,f245]) ).
fof(f357,plain,
! [X2,X0,X1] :
( root_occ(sK0(X1,X2),X0)
| ~ subactivity_occurrence(sK0(X1,X2),X0)
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X2,X1)
| atomic(X1) ),
inference(resolution,[],[f175,f141]) ).
fof(f363,plain,
! [X0,X1] :
( ~ min_precedes(sK12(X1),X0,tptp0)
| ~ min_precedes(X0,sK13(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(resolution,[],[f186,f195]) ).
fof(f365,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,tptp0)
| ~ root_occ(X2,X0)
| sK12(X0) = X2
| ~ occurrence_of(X0,X1) ),
inference(resolution,[],[f192,f198]) ).
fof(f384,plain,
! [X0] :
( root_occ(sK17(tptp0,sK19,X0),X0)
| ~ occurrence_of(X0,sK18) ),
inference(resolution,[],[f221,f226]) ).
fof(f385,plain,
! [X2,X0,X1] :
( ~ root_occ(X2,X0)
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,sK18)
| sK17(tptp0,sK19,X0) = X2 ),
inference(resolution,[],[f384,f192]) ).
fof(f411,plain,
! [X2,X0,X1] :
( precedes(sK11(X0,X1,X2),X1)
| next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(resolution,[],[f188,f183]) ).
fof(f430,definition,
( spl21_7
<=> root_occ(sK17(tptp0,sK19,sK20),sK20) ),
introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition]) ).
fof(f431,plain,
( root_occ(sK17(tptp0,sK19,sK20),sK20)
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f432,plain,
( ~ root_occ(sK17(tptp0,sK19,sK20),sK20)
| spl21_7 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f443,plain,
( ~ occurrence_of(sK20,sK18)
| spl21_7 ),
inference(resolution,[],[f432,f384]) ).
fof(f444,plain,
( $false
| spl21_7 ),
inference(forward_subsumption_resolution,[],[f443,f225]) ).
fof(f445,plain,
spl21_7,
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f446,plain,
! [X0] :
( occurrence_of(sK17(tptp0,sK19,X0),sK14(tptp0,sK19,X0))
| ~ occurrence_of(X0,sK18) ),
inference(resolution,[],[f222,f226]) ).
fof(f451,plain,
( subactivity_occurrence(sK17(tptp0,sK19,sK20),sK20)
| ~ spl21_7 ),
inference(resolution,[],[f431,f173]) ).
fof(f456,definition,
( spl21_10
<=> ! [X0] : ~ occurrence_of(sK20,X0) ),
introduced(definition,[new_symbols(definition,[spl21_10])],[avatar_definition]) ).
fof(f457,plain,
( ! [X0] : ~ occurrence_of(sK20,X0)
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f487,plain,
! [X2,X0,X1] :
( min_precedes(X2,sK13(X0),X1)
| ~ subactivity_occurrence(X2,X0)
| sK13(X0) = X2
| ~ arboreal(X2)
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f143,f196]) ).
fof(f499,plain,
! [X0] :
( send_message(sK14(tptp0,sK19,X0),sK15(tptp0,sK19,X0),sK16(tptp0,sK19,X0),sK19,tptp0)
| ~ occurrence_of(X0,sK18) ),
inference(resolution,[],[f223,f226]) ).
fof(f513,plain,
! [X2,X3,X0,X1,X4] :
( ~ subactivity_occurrence(X1,sK2(X3,X4,X0))
| X0 = X1
| ~ occurrence_of(sK2(X3,X4,X0),X2)
| ~ arboreal(X1)
| ~ arboreal(X0)
| min_precedes(X0,X1,X2)
| min_precedes(X1,X0,X2)
| ~ min_precedes(X4,X0,X3) ),
inference(resolution,[],[f145,f147]) ).
fof(f522,plain,
( ~ activity_occurrence(sK20)
| ~ spl21_10 ),
inference(resolution,[],[f457,f157]) ).
fof(f526,plain,
( $false
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f522,f230]) ).
fof(f527,plain,
~ spl21_10,
inference(avatar_contradiction_clause,[],[f526]) ).
fof(f528,plain,
! [X0,X1] :
( ~ occurrence_of(X1,sK14(tptp0,sK19,X0))
| min_precedes(sK19,X1,tptp0)
| ~ occurrence_of(X0,sK18) ),
inference(resolution,[],[f499,f217]) ).
fof(f554,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sK4(sK2(X0,X1,X2)) = X0 ),
inference(resolution,[],[f271,f149]) ).
fof(f558,plain,
! [X0] :
( ~ occurrence_of(X0,sK18)
| sK14(tptp0,sK19,X0) = sK4(sK17(tptp0,sK19,X0)) ),
inference(resolution,[],[f271,f446]) ).
fof(f571,plain,
( activity_occurrence(sK17(tptp0,sK19,sK20))
| ~ spl21_7 ),
inference(resolution,[],[f451,f156]) ).
fof(f587,plain,
! [X0,X1] :
( arboreal(sK0(X0,X1))
| ~ occurrence_of(X1,X0)
| atomic(X0) ),
inference(resolution,[],[f300,f158]) ).
fof(f642,plain,
! [X0] :
( min_precedes(sK19,sK17(tptp0,sK19,X0),tptp0)
| ~ occurrence_of(X0,sK18)
| ~ occurrence_of(X0,sK18) ),
inference(resolution,[],[f528,f446]) ).
fof(f643,plain,
! [X0] :
( min_precedes(sK19,sK17(tptp0,sK19,X0),tptp0)
| ~ occurrence_of(X0,sK18) ),
inference(duplicate_literal_removal,[],[f642]) ).
fof(f663,plain,
! [X0] :
( ~ root(sK17(tptp0,sK19,X0),tptp0)
| ~ occurrence_of(X0,sK18) ),
inference(resolution,[],[f643,f180]) ).
fof(f716,plain,
! [X2,X3,X0,X1] :
( ~ occurrence_of(sK2(tptp0,X1,X2),X3)
| sK12(sK2(tptp0,X1,X2)) = X0
| ~ root_occ(X0,sK2(tptp0,X1,X2))
| ~ min_precedes(X1,X2,tptp0) ),
inference(resolution,[],[f365,f149]) ).
fof(f738,plain,
! [X2,X0,X1] :
( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| legal(X1) ),
inference(resolution,[],[f411,f177]) ).
fof(f885,plain,
sK4(sK17(tptp0,sK19,sK20)) = sK14(tptp0,sK19,sK20),
inference(resolution,[],[f558,f225]) ).
fof(f891,plain,
( occurrence_of(sK17(tptp0,sK19,sK20),sK14(tptp0,sK19,sK20))
| ~ activity_occurrence(sK17(tptp0,sK19,sK20)) ),
inference(superposition,[],[f157,f885]) ).
fof(f892,plain,
( occurrence_of(sK17(tptp0,sK19,sK20),sK14(tptp0,sK19,sK20))
| ~ spl21_7 ),
inference(forward_subsumption_resolution,[],[f891,f571]) ).
fof(f964,plain,
! [X2,X3,X0,X1] :
( sK12(sK2(X1,X2,X0)) = X0
| ~ occurrence_of(sK2(X1,X2,X0),X3)
| ~ arboreal(sK12(sK2(X1,X2,X0)))
| ~ arboreal(X0)
| min_precedes(X0,sK12(sK2(X1,X2,X0)),X3)
| min_precedes(sK12(sK2(X1,X2,X0)),X0,X3)
| ~ min_precedes(X2,X0,X1)
| ~ occurrence_of(sK2(X1,X2,X0),tptp0) ),
inference(resolution,[],[f513,f240]) ).
fof(f971,plain,
! [X2,X3,X0,X1] :
( min_precedes(sK12(sK2(X1,X2,X0)),X0,X3)
| ~ occurrence_of(sK2(X1,X2,X0),X3)
| ~ arboreal(X0)
| min_precedes(X0,sK12(sK2(X1,X2,X0)),X3)
| sK12(sK2(X1,X2,X0)) = X0
| ~ min_precedes(X2,X0,X1)
| ~ occurrence_of(sK2(X1,X2,X0),tptp0) ),
inference(forward_subsumption_resolution,[],[f964,f244]) ).
fof(f1012,plain,
! [X2,X3,X0,X1] :
( ~ subactivity_occurrence(sK0(X2,X3),X0)
| ~ occurrence_of(X0,sK18)
| sK17(tptp0,sK19,X0) = sK0(X2,X3)
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X3,X2)
| atomic(X2) ),
inference(resolution,[],[f385,f357]) ).
fof(f1169,definition,
( spl21_25
<=> sK19 = sK17(tptp0,sK19,sK20) ),
introduced(definition,[new_symbols(definition,[spl21_25])],[avatar_definition]) ).
fof(f1170,plain,
( sK19 != sK17(tptp0,sK19,sK20)
| spl21_25 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1171,plain,
( sK19 = sK17(tptp0,sK19,sK20)
| ~ spl21_25 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1254,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| legal(X1)
| arboreal(X1) ),
inference(resolution,[],[f738,f184]) ).
fof(f1255,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| arboreal(X1) ),
inference(forward_subsumption_resolution,[],[f1254,f158]) ).
fof(f1281,plain,
! [X0] :
( ~ occurrence_of(X0,sK18)
| tptp0 = sK4(sK2(tptp0,sK19,sK17(tptp0,sK19,X0))) ),
inference(resolution,[],[f554,f643]) ).
fof(f1658,plain,
( ~ root(sK19,tptp0)
| ~ occurrence_of(sK20,sK18)
| ~ spl21_25 ),
inference(superposition,[],[f663,f1171]) ).
fof(f1690,plain,
( ~ occurrence_of(sK20,sK18)
| ~ spl21_25 ),
inference(forward_subsumption_resolution,[],[f1658,f245]) ).
fof(f1698,plain,
( $false
| ~ spl21_25 ),
inference(forward_subsumption_resolution,[],[f1690,f225]) ).
fof(f1699,plain,
~ spl21_25,
inference(avatar_contradiction_clause,[],[f1698]) ).
fof(f1812,plain,
tptp0 = sK4(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))),
inference(resolution,[],[f1281,f225]) ).
fof(f1825,plain,
( occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0)
| ~ activity_occurrence(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) ),
inference(superposition,[],[f157,f1812]) ).
fof(f1827,definition,
( spl21_57
<=> activity_occurrence(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) ),
introduced(definition,[new_symbols(definition,[spl21_57])],[avatar_definition]) ).
fof(f1829,plain,
( ~ activity_occurrence(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| spl21_57 ),
inference(avatar_component_clause,[],[f1827]) ).
fof(f1831,definition,
( spl21_58
<=> occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_58])],[avatar_definition]) ).
fof(f1833,plain,
( occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0)
| ~ spl21_58 ),
inference(avatar_component_clause,[],[f1831]) ).
fof(f1834,plain,
( ~ spl21_57
| spl21_58 ),
inference(avatar_split_clause,[],[f1825,f1831,f1827]) ).
fof(f1845,plain,
( ~ min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0)
| spl21_57 ),
inference(resolution,[],[f1829,f303]) ).
fof(f1846,plain,
( ~ occurrence_of(sK20,sK18)
| spl21_57 ),
inference(resolution,[],[f1845,f643]) ).
fof(f1847,plain,
( $false
| spl21_57 ),
inference(forward_subsumption_resolution,[],[f1846,f225]) ).
fof(f1848,plain,
spl21_57,
inference(avatar_contradiction_clause,[],[f1847]) ).
fof(f1898,definition,
( spl21_60
<=> subactivity_occurrence(sK19,sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) ),
introduced(definition,[new_symbols(definition,[spl21_60])],[avatar_definition]) ).
fof(f1899,plain,
( subactivity_occurrence(sK19,sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| ~ spl21_60 ),
inference(avatar_component_clause,[],[f1898]) ).
fof(f1900,plain,
( ~ subactivity_occurrence(sK19,sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| spl21_60 ),
inference(avatar_component_clause,[],[f1898]) ).
fof(f2185,plain,
! [X2,X0,X1] :
( sK12(sK2(tptp0,X0,X1)) = X2
| ~ root_occ(X2,sK2(tptp0,X0,X1))
| ~ min_precedes(X0,X1,tptp0)
| ~ min_precedes(X0,X1,tptp0) ),
inference(resolution,[],[f716,f149]) ).
fof(f2190,plain,
! [X2,X0,X1] :
( ~ root_occ(X2,sK2(tptp0,X0,X1))
| sK12(sK2(tptp0,X0,X1)) = X2
| ~ min_precedes(X0,X1,tptp0) ),
inference(duplicate_literal_removal,[],[f2185]) ).
fof(f2193,definition,
( spl21_71
<=> min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_71])],[avatar_definition]) ).
fof(f2194,plain,
( min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0)
| ~ spl21_71 ),
inference(avatar_component_clause,[],[f2193]) ).
fof(f2195,plain,
( ~ min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0)
| spl21_71 ),
inference(avatar_component_clause,[],[f2193]) ).
fof(f3363,plain,
! [X2,X0,X1] :
( ~ occurrence_of(sK2(X0,X1,X2),tptp0)
| ~ arboreal(X2)
| min_precedes(X2,sK12(sK2(X0,X1,X2)),tptp0)
| sK12(sK2(X0,X1,X2)) = X2
| ~ min_precedes(X1,X2,X0)
| ~ occurrence_of(sK2(X0,X1,X2),tptp0)
| ~ min_precedes(X2,sK13(sK2(X0,X1,X2)),tptp0)
| ~ occurrence_of(sK2(X0,X1,X2),tptp0) ),
inference(resolution,[],[f971,f363]) ).
fof(f3380,plain,
! [X2,X0,X1] :
( ~ occurrence_of(sK2(X0,X1,X2),tptp0)
| ~ arboreal(X2)
| min_precedes(X2,sK12(sK2(X0,X1,X2)),tptp0)
| sK12(sK2(X0,X1,X2)) = X2
| ~ min_precedes(X1,X2,X0)
| ~ min_precedes(X2,sK13(sK2(X0,X1,X2)),tptp0) ),
inference(duplicate_literal_removal,[],[f3363]) ).
fof(f5953,plain,
( ~ occurrence_of(sK20,sK18)
| spl21_71 ),
inference(resolution,[],[f2195,f643]) ).
fof(f5954,plain,
( $false
| spl21_71 ),
inference(forward_subsumption_resolution,[],[f5953,f225]) ).
fof(f5955,plain,
spl21_71,
inference(avatar_contradiction_clause,[],[f5954]) ).
fof(f6255,definition,
( spl21_205
<=> arboreal(sK0(sK18,sK20)) ),
introduced(definition,[new_symbols(definition,[spl21_205])],[avatar_definition]) ).
fof(f6256,plain,
( arboreal(sK0(sK18,sK20))
| ~ spl21_205 ),
inference(avatar_component_clause,[],[f6255]) ).
fof(f6257,plain,
( ~ arboreal(sK0(sK18,sK20))
| spl21_205 ),
inference(avatar_component_clause,[],[f6255]) ).
fof(f6276,plain,
( ~ occurrence_of(sK20,sK18)
| atomic(sK18)
| spl21_205 ),
inference(resolution,[],[f6257,f587]) ).
fof(f6277,plain,
( atomic(sK18)
| spl21_205 ),
inference(forward_subsumption_resolution,[],[f6276,f225]) ).
fof(f6278,plain,
( $false
| spl21_205 ),
inference(forward_subsumption_resolution,[],[f6277,f233]) ).
fof(f6279,plain,
spl21_205,
inference(avatar_contradiction_clause,[],[f6278]) ).
fof(f8116,plain,
( ~ min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0)
| spl21_60 ),
inference(resolution,[],[f1900,f148]) ).
fof(f8117,plain,
( $false
| spl21_60
| ~ spl21_71 ),
inference(forward_subsumption_resolution,[],[f8116,f2194]) ).
fof(f8118,plain,
( spl21_60
| ~ spl21_71 ),
inference(avatar_contradiction_clause,[],[f8117]) ).
fof(f8179,definition,
( spl21_293
<=> sK19 = sK12(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) ),
introduced(definition,[new_symbols(definition,[spl21_293])],[avatar_definition]) ).
fof(f8181,plain,
( sK19 = sK12(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| ~ spl21_293 ),
inference(avatar_component_clause,[],[f8179]) ).
fof(f12781,plain,
! [X2,X0,X1] :
( min_precedes(X2,sK12(sK2(X0,X1,X2)),tptp0)
| ~ occurrence_of(sK2(X0,X1,X2),tptp0)
| sK12(sK2(X0,X1,X2)) = X2
| ~ min_precedes(X1,X2,X0)
| ~ min_precedes(X2,sK13(sK2(X0,X1,X2)),tptp0) ),
inference(forward_subsumption_resolution,[],[f3380,f1255]) ).
fof(f15623,definition,
( spl21_511
<=> root_occ(sK19,sK2(tptp0,sK19,sK17(tptp0,sK19,sK20))) ),
introduced(definition,[new_symbols(definition,[spl21_511])],[avatar_definition]) ).
fof(f15624,plain,
( root_occ(sK19,sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| ~ spl21_511 ),
inference(avatar_component_clause,[],[f15623]) ).
fof(f15625,plain,
( ~ root_occ(sK19,sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| spl21_511 ),
inference(avatar_component_clause,[],[f15623]) ).
fof(f15680,plain,
( ~ subactivity_occurrence(sK19,sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| ~ occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0)
| spl21_511 ),
inference(resolution,[],[f15625,f355]) ).
fof(f15681,plain,
( ~ occurrence_of(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)),tptp0)
| ~ spl21_60
| spl21_511 ),
inference(forward_subsumption_resolution,[],[f15680,f1899]) ).
fof(f15682,plain,
( $false
| ~ spl21_58
| ~ spl21_60
| spl21_511 ),
inference(forward_subsumption_resolution,[],[f15681,f1833]) ).
fof(f15683,plain,
( ~ spl21_58
| ~ spl21_60
| spl21_511 ),
inference(avatar_contradiction_clause,[],[f15682]) ).
fof(f15754,plain,
( sK19 = sK12(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| ~ min_precedes(sK19,sK17(tptp0,sK19,sK20),tptp0)
| ~ spl21_511 ),
inference(resolution,[],[f15624,f2190]) ).
fof(f15786,plain,
( sK19 = sK12(sK2(tptp0,sK19,sK17(tptp0,sK19,sK20)))
| ~ spl21_71
| ~ spl21_511 ),
inference(forward_subsumption_resolution,[],[f15754,f2194]) ).
fof(f15799,plain,
( spl21_293
| ~ spl21_71
| ~ spl21_511 ),
inference(avatar_split_clause,[],[f15786,f15623,f2193,f8179]) ).
fof(f15921,definition,
( spl21_530
<=> min_precedes(sK17(tptp0,sK19,sK20),sK19,tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_530])],[avatar_definition]) ).
fof(f15922,plain,
( ~ min_precedes(sK17(tptp0,sK19,sK20),sK19,tptp0)
| spl21_530 ),
inference(avatar_component_clause,[],[f15921]) ).
fof(f15923,plain,
( min_precedes(sK17(tptp0,sK19,sK20),sK19,tptp0)
| ~ spl21_530 ),
inference(avatar_component_clause,[],[f15921]) ).
fof(f20603,definition,
( spl21_619
<=> root_occ(sK0(sK18,sK20),sK20) ),
introduced(definition,[new_symbols(definition,[spl21_619])],[avatar_definition]) ).
fof(f20604,plain,
( root_occ(sK0(sK18,sK20),sK20)
| ~ spl21_619 ),
inference(avatar_component_clause,[],[f20603]) ).
fof(f20605,plain,
( ~ root_occ(sK0(sK18,sK20),sK20)
| spl21_619 ),
inference(avatar_component_clause,[],[f20603]) ).
fof(f20675,plain,
( ~ subactivity_occurrence(sK0(sK18,sK20),sK20)
| ~ occurrence_of(sK20,sK18)
| ~ occurrence_of(sK20,sK18)
| atomic(sK18)
| spl21_619 ),
inference(resolution,[],[f20605,f357]) ).
fof(f20676,plain,
( ~ subactivity_occurrence(sK0(sK18,sK20),sK20)
| ~ occurrence_of(sK20,sK18)
| atomic(sK18)
| spl21_619 ),
inference(duplicate_literal_removal,[],[f20675]) ).
fof(f20677,plain,
( ~ occurrence_of(sK20,sK18)
| atomic(sK18)
| spl21_619 ),
inference(forward_subsumption_resolution,[],[f20676,f140]) ).
fof(f20678,plain,
( atomic(sK18)
| spl21_619 ),
inference(forward_subsumption_resolution,[],[f20677,f225]) ).
fof(f20679,plain,
( $false
| spl21_619 ),
inference(forward_subsumption_resolution,[],[f20678,f233]) ).
fof(f20680,plain,
spl21_619,
inference(avatar_contradiction_clause,[],[f20679]) ).
fof(f20812,plain,
( subactivity_occurrence(sK0(sK18,sK20),sK20)
| ~ spl21_619 ),
inference(resolution,[],[f20604,f173]) ).
fof(f20834,definition,
( spl21_638
<=> sK17(tptp0,sK19,sK20) = sK0(sK18,sK20) ),
introduced(definition,[new_symbols(definition,[spl21_638])],[avatar_definition]) ).
fof(f20836,plain,
( sK17(tptp0,sK19,sK20) = sK0(sK18,sK20)
| ~ spl21_638 ),
inference(avatar_component_clause,[],[f20834]) ).
fof(f20898,plain,
( ! [X0] :
( ~ occurrence_of(sK20,sK18)
| sK17(tptp0,sK19,sK20) = sK0(sK18,sK20)
| ~ occurrence_of(sK20,X0)
| ~ occurrence_of(sK20,sK18)
| ~ occurrence_of(sK20,sK18)
| atomic(sK18) )
| ~ spl21_619 ),
inference(resolution,[],[f20812,f1012]) ).
fof(f20912,plain,
( ! [X0] :
( ~ occurrence_of(sK20,sK18)
| sK17(tptp0,sK19,sK20) = sK0(sK18,sK20)
| ~ occurrence_of(sK20,X0)
| atomic(sK18) )
| ~ spl21_619 ),
inference(duplicate_literal_removal,[],[f20898]) ).
fof(f20926,plain,
( ! [X0] :
( sK17(tptp0,sK19,sK20) = sK0(sK18,sK20)
| ~ occurrence_of(sK20,X0)
| atomic(sK18) )
| ~ spl21_619 ),
inference(forward_subsumption_resolution,[],[f20912,f225]) ).
fof(f20929,plain,
( ! [X0] :
( sK17(tptp0,sK19,sK20) = sK0(sK18,sK20)
| ~ occurrence_of(sK20,X0) )
| ~ spl21_619 ),
inference(forward_subsumption_resolution,[],[f20926,f233]) ).
fof(f20935,plain,
( spl21_10
| spl21_638
| ~ spl21_619 ),
inference(avatar_split_clause,[],[f20929,f20603,f20834,f456]) ).
fof(f21025,plain,
( occurrence_of(sK0(sK18,sK20),sK14(tptp0,sK19,sK20))
| ~ spl21_7
| ~ spl21_638 ),
inference(superposition,[],[f892,f20836]) ).
fof(f21027,plain,
( sK19 != sK0(sK18,sK20)
| spl21_25
| ~ spl21_638 ),
inference(superposition,[],[f1170,f20836]) ).
fof(f21032,plain,
( occurrence_of(sK2(tptp0,sK19,sK0(sK18,sK20)),tptp0)
| ~ spl21_58
| ~ spl21_638 ),
inference(superposition,[],[f1833,f20836]) ).
fof(f21036,plain,
( min_precedes(sK19,sK0(sK18,sK20),tptp0)
| ~ spl21_71
| ~ spl21_638 ),
inference(superposition,[],[f2194,f20836]) ).
fof(f21055,plain,
( sK19 = sK12(sK2(tptp0,sK19,sK0(sK18,sK20)))
| ~ spl21_293
| ~ spl21_638 ),
inference(superposition,[],[f8181,f20836]) ).
fof(f21088,plain,
( ~ min_precedes(sK0(sK18,sK20),sK19,tptp0)
| spl21_530
| ~ spl21_638 ),
inference(superposition,[],[f15922,f20836]) ).
fof(f22801,definition,
( spl21_709
<=> sK0(sK18,sK20) = sK13(sK2(tptp0,sK19,sK0(sK18,sK20))) ),
introduced(definition,[new_symbols(definition,[spl21_709])],[avatar_definition]) ).
fof(f22802,plain,
( sK0(sK18,sK20) != sK13(sK2(tptp0,sK19,sK0(sK18,sK20)))
| spl21_709 ),
inference(avatar_component_clause,[],[f22801]) ).
fof(f22803,plain,
( sK0(sK18,sK20) = sK13(sK2(tptp0,sK19,sK0(sK18,sK20)))
| ~ spl21_709 ),
inference(avatar_component_clause,[],[f22801]) ).
fof(f22874,definition,
( spl21_723
<=> sK19 = sK12(sK2(tptp0,sK19,sK0(sK18,sK20))) ),
introduced(definition,[new_symbols(definition,[spl21_723])],[avatar_definition]) ).
fof(f22876,plain,
( sK19 = sK12(sK2(tptp0,sK19,sK0(sK18,sK20)))
| ~ spl21_723 ),
inference(avatar_component_clause,[],[f22874]) ).
fof(f23697,plain,
( spl21_723
| ~ spl21_293
| ~ spl21_638 ),
inference(avatar_split_clause,[],[f21055,f20834,f8179,f22874]) ).
fof(f23811,plain,
( min_precedes(sK0(sK18,sK20),sK19,tptp0)
| ~ occurrence_of(sK2(tptp0,sK19,sK0(sK18,sK20)),tptp0)
| sK19 = sK0(sK18,sK20)
| ~ min_precedes(sK19,sK0(sK18,sK20),tptp0)
| ~ min_precedes(sK0(sK18,sK20),sK13(sK2(tptp0,sK19,sK0(sK18,sK20))),tptp0)
| ~ spl21_723 ),
inference(superposition,[],[f12781,f22876]) ).
fof(f23910,plain,
( min_precedes(sK0(sK18,sK20),sK19,tptp0)
| sK19 = sK0(sK18,sK20)
| ~ min_precedes(sK19,sK0(sK18,sK20),tptp0)
| ~ min_precedes(sK0(sK18,sK20),sK13(sK2(tptp0,sK19,sK0(sK18,sK20))),tptp0)
| ~ spl21_723 ),
inference(forward_subsumption_resolution,[],[f23811,f149]) ).
fof(f23927,plain,
( sK19 = sK0(sK18,sK20)
| ~ min_precedes(sK19,sK0(sK18,sK20),tptp0)
| ~ min_precedes(sK0(sK18,sK20),sK13(sK2(tptp0,sK19,sK0(sK18,sK20))),tptp0)
| spl21_530
| ~ spl21_638
| ~ spl21_723 ),
inference(forward_subsumption_resolution,[],[f23910,f21088]) ).
fof(f23936,plain,
( ~ min_precedes(sK19,sK0(sK18,sK20),tptp0)
| ~ min_precedes(sK0(sK18,sK20),sK13(sK2(tptp0,sK19,sK0(sK18,sK20))),tptp0)
| spl21_25
| spl21_530
| ~ spl21_638
| ~ spl21_723 ),
inference(forward_subsumption_resolution,[],[f23927,f21027]) ).
fof(f23948,plain,
( ~ min_precedes(sK0(sK18,sK20),sK13(sK2(tptp0,sK19,sK0(sK18,sK20))),tptp0)
| spl21_25
| ~ spl21_71
| spl21_530
| ~ spl21_638
| ~ spl21_723 ),
inference(forward_subsumption_resolution,[],[f23936,f21036]) ).
fof(f25266,definition,
( spl21_772
<=> occurrence_of(sK0(sK18,sK20),tptp3) ),
introduced(definition,[new_symbols(definition,[spl21_772])],[avatar_definition]) ).
fof(f25267,plain,
( ~ occurrence_of(sK0(sK18,sK20),tptp3)
| spl21_772 ),
inference(avatar_component_clause,[],[f25266]) ).
fof(f25268,plain,
( occurrence_of(sK0(sK18,sK20),tptp3)
| ~ spl21_772 ),
inference(avatar_component_clause,[],[f25266]) ).
fof(f25360,definition,
( spl21_793
<=> ! [X0] :
( ~ occurrence_of(sK0(sK18,sK20),X0)
| tptp2 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl21_793])],[avatar_definition]) ).
fof(f25361,plain,
( ! [X0] :
( ~ occurrence_of(sK0(sK18,sK20),X0)
| tptp2 = X0 )
| ~ spl21_793 ),
inference(avatar_component_clause,[],[f25360]) ).
fof(f25370,definition,
( spl21_795
<=> ! [X0] :
( ~ occurrence_of(sK0(sK18,sK20),X0)
| tptp3 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl21_795])],[avatar_definition]) ).
fof(f25371,plain,
( ! [X0] :
( ~ occurrence_of(sK0(sK18,sK20),X0)
| tptp3 = X0 )
| ~ spl21_795 ),
inference(avatar_component_clause,[],[f25370]) ).
fof(f26325,plain,
( tptp2 = sK14(tptp0,sK19,sK20)
| ~ spl21_7
| ~ spl21_638
| ~ spl21_793 ),
inference(resolution,[],[f25361,f21025]) ).
fof(f26390,plain,
( send_message(tptp2,sK15(tptp0,sK19,sK20),sK16(tptp0,sK19,sK20),sK19,tptp0)
| ~ occurrence_of(sK20,sK18)
| ~ spl21_7
| ~ spl21_638
| ~ spl21_793 ),
inference(superposition,[],[f499,f26325]) ).
fof(f26393,plain,
( ~ occurrence_of(sK20,sK18)
| ~ spl21_7
| ~ spl21_638
| ~ spl21_793 ),
inference(forward_subsumption_resolution,[],[f26390,f229]) ).
fof(f26397,plain,
( $false
| ~ spl21_7
| ~ spl21_638
| ~ spl21_793 ),
inference(forward_subsumption_resolution,[],[f26393,f225]) ).
fof(f26398,plain,
( ~ spl21_7
| ~ spl21_638
| ~ spl21_793 ),
inference(avatar_contradiction_clause,[],[f26397]) ).
fof(f26443,plain,
( ! [X0] :
( ~ occurrence_of(sK0(sK18,sK20),X0)
| tptp3 = X0 )
| ~ spl21_772 ),
inference(resolution,[],[f25268,f152]) ).
fof(f26449,plain,
( spl21_795
| ~ spl21_772 ),
inference(avatar_split_clause,[],[f26443,f25266,f25370]) ).
fof(f27170,plain,
( tptp3 = sK14(tptp0,sK19,sK20)
| ~ spl21_7
| ~ spl21_638
| ~ spl21_795 ),
inference(resolution,[],[f25371,f21025]) ).
fof(f27257,plain,
( send_message(tptp3,sK15(tptp0,sK19,sK20),sK16(tptp0,sK19,sK20),sK19,tptp0)
| ~ occurrence_of(sK20,sK18)
| ~ spl21_7
| ~ spl21_638
| ~ spl21_795 ),
inference(superposition,[],[f499,f27170]) ).
fof(f27260,plain,
( ~ occurrence_of(sK20,sK18)
| ~ spl21_7
| ~ spl21_638
| ~ spl21_795 ),
inference(forward_subsumption_resolution,[],[f27257,f228]) ).
fof(f27264,plain,
( $false
| ~ spl21_7
| ~ spl21_638
| ~ spl21_795 ),
inference(forward_subsumption_resolution,[],[f27260,f225]) ).
fof(f27265,plain,
( ~ spl21_7
| ~ spl21_638
| ~ spl21_795 ),
inference(avatar_contradiction_clause,[],[f27264]) ).
fof(f33310,plain,
( ~ subactivity_occurrence(sK0(sK18,sK20),sK2(tptp0,sK19,sK0(sK18,sK20)))
| sK0(sK18,sK20) = sK13(sK2(tptp0,sK19,sK0(sK18,sK20)))
| ~ arboreal(sK0(sK18,sK20))
| ~ occurrence_of(sK2(tptp0,sK19,sK0(sK18,sK20)),tptp0)
| ~ occurrence_of(sK2(tptp0,sK19,sK0(sK18,sK20)),tptp0)
| spl21_25
| ~ spl21_71
| spl21_530
| ~ spl21_638
| ~ spl21_723 ),
inference(resolution,[],[f23948,f487]) ).
fof(f33319,plain,
( ~ subactivity_occurrence(sK0(sK18,sK20),sK2(tptp0,sK19,sK0(sK18,sK20)))
| sK0(sK18,sK20) = sK13(sK2(tptp0,sK19,sK0(sK18,sK20)))
| ~ arboreal(sK0(sK18,sK20))
| ~ occurrence_of(sK2(tptp0,sK19,sK0(sK18,sK20)),tptp0)
| spl21_25
| ~ spl21_71
| spl21_530
| ~ spl21_638
| ~ spl21_723 ),
inference(duplicate_literal_removal,[],[f33310]) ).
fof(f33323,plain,
( ~ subactivity_occurrence(sK0(sK18,sK20),sK2(tptp0,sK19,sK0(sK18,sK20)))
| ~ arboreal(sK0(sK18,sK20))
| ~ occurrence_of(sK2(tptp0,sK19,sK0(sK18,sK20)),tptp0)
| spl21_25
| ~ spl21_71
| spl21_530
| ~ spl21_638
| spl21_709
| ~ spl21_723 ),
inference(forward_subsumption_resolution,[],[f33319,f22802]) ).
fof(f33327,plain,
( ~ subactivity_occurrence(sK0(sK18,sK20),sK2(tptp0,sK19,sK0(sK18,sK20)))
| ~ occurrence_of(sK2(tptp0,sK19,sK0(sK18,sK20)),tptp0)
| spl21_25
| ~ spl21_71
| ~ spl21_205
| spl21_530
| ~ spl21_638
| spl21_709
| ~ spl21_723 ),
inference(forward_subsumption_resolution,[],[f33323,f6256]) ).
fof(f33331,plain,
( ~ subactivity_occurrence(sK0(sK18,sK20),sK2(tptp0,sK19,sK0(sK18,sK20)))
| spl21_25
| ~ spl21_58
| ~ spl21_71
| ~ spl21_205
| spl21_530
| ~ spl21_638
| spl21_709
| ~ spl21_723 ),
inference(forward_subsumption_resolution,[],[f33327,f21032]) ).
fof(f33355,plain,
( ~ min_precedes(sK19,sK0(sK18,sK20),tptp0)
| spl21_25
| ~ spl21_58
| ~ spl21_71
| ~ spl21_205
| spl21_530
| ~ spl21_638
| spl21_709
| ~ spl21_723 ),
inference(resolution,[],[f33331,f147]) ).
fof(f33356,plain,
( $false
| spl21_25
| ~ spl21_58
| ~ spl21_71
| ~ spl21_205
| spl21_530
| ~ spl21_638
| spl21_709
| ~ spl21_723 ),
inference(forward_subsumption_resolution,[],[f33355,f21036]) ).
fof(f33357,plain,
( spl21_25
| ~ spl21_58
| ~ spl21_71
| ~ spl21_205
| spl21_530
| ~ spl21_638
| spl21_709
| ~ spl21_723 ),
inference(avatar_contradiction_clause,[],[f33356]) ).
fof(f33358,plain,
( min_precedes(sK0(sK18,sK20),sK19,tptp0)
| ~ spl21_530
| ~ spl21_638 ),
inference(forward_demodulation,[],[f15923,f20836]) ).
fof(f33374,definition,
( spl21_875
<=> min_precedes(sK0(sK18,sK20),sK19,tptp0) ),
introduced(definition,[new_symbols(definition,[spl21_875])],[avatar_definition]) ).
fof(f33376,plain,
( min_precedes(sK0(sK18,sK20),sK19,tptp0)
| ~ spl21_875 ),
inference(avatar_component_clause,[],[f33374]) ).
fof(f33398,plain,
( spl21_875
| ~ spl21_530
| ~ spl21_638 ),
inference(avatar_split_clause,[],[f33358,f20834,f15921,f33374]) ).
fof(f33410,plain,
( ~ root(sK19,tptp0)
| ~ spl21_875 ),
inference(resolution,[],[f33376,f180]) ).
fof(f33444,plain,
( $false
| ~ spl21_875 ),
inference(forward_subsumption_resolution,[],[f33410,f245]) ).
fof(f33445,plain,
~ spl21_875,
inference(avatar_contradiction_clause,[],[f33444]) ).
fof(f33548,plain,
( ! [X0] :
( ~ occurrence_of(sK0(sK18,sK20),X0)
| ~ occurrence_of(sK2(tptp0,sK19,sK0(sK18,sK20)),tptp0)
| occurrence_of(sK0(sK18,sK20),tptp3)
| tptp2 = X0 )
| ~ spl21_709 ),
inference(superposition,[],[f330,f22803]) ).
fof(f33746,plain,
( ! [X0] :
( ~ occurrence_of(sK0(sK18,sK20),X0)
| occurrence_of(sK0(sK18,sK20),tptp3)
| tptp2 = X0 )
| ~ spl21_58
| ~ spl21_638
| ~ spl21_709 ),
inference(forward_subsumption_resolution,[],[f33548,f21032]) ).
fof(f33839,plain,
( ! [X0] :
( ~ occurrence_of(sK0(sK18,sK20),X0)
| tptp2 = X0 )
| ~ spl21_58
| ~ spl21_638
| ~ spl21_709
| spl21_772 ),
inference(forward_subsumption_resolution,[],[f33746,f25267]) ).
fof(f33889,plain,
( spl21_793
| ~ spl21_58
| ~ spl21_638
| ~ spl21_709
| spl21_772 ),
inference(avatar_split_clause,[],[f33839,f25266,f22801,f20834,f1831,f25360]) ).
cnf(s5,plain,
spl21_7,
inference(sat_conversion,[],[f445]) ).
cnf(s14,plain,
~ spl21_10,
inference(sat_conversion,[],[f527]) ).
cnf(s65,plain,
~ spl21_25,
inference(sat_conversion,[],[f1699]) ).
cnf(s68,plain,
( ~ spl21_57
| spl21_58 ),
inference(sat_conversion,[],[f1834]) ).
cnf(s70,plain,
spl21_57,
inference(sat_conversion,[],[f1848]) ).
cnf(s245,plain,
spl21_71,
inference(sat_conversion,[],[f5955]) ).
cnf(s255,plain,
spl21_205,
inference(sat_conversion,[],[f6279]) ).
cnf(s340,plain,
( spl21_60
| ~ spl21_71 ),
inference(sat_conversion,[],[f8118]) ).
cnf(s781,plain,
( ~ spl21_58
| ~ spl21_60
| spl21_511 ),
inference(sat_conversion,[],[f15683]) ).
cnf(s789,plain,
( ~ spl21_71
| spl21_293
| ~ spl21_511 ),
inference(sat_conversion,[],[f15799]) ).
cnf(s1036,plain,
spl21_619,
inference(sat_conversion,[],[f20680]) ).
cnf(s1043,plain,
( spl21_10
| ~ spl21_619
| spl21_638 ),
inference(sat_conversion,[],[f20935]) ).
cnf(s1164,plain,
( ~ spl21_293
| ~ spl21_638
| spl21_723 ),
inference(sat_conversion,[],[f23697]) ).
cnf(s1240,plain,
( ~ spl21_7
| ~ spl21_638
| ~ spl21_793 ),
inference(sat_conversion,[],[f26398]) ).
cnf(s1251,plain,
( ~ spl21_772
| spl21_795 ),
inference(sat_conversion,[],[f26449]) ).
cnf(s1256,plain,
( ~ spl21_7
| ~ spl21_638
| ~ spl21_795 ),
inference(sat_conversion,[],[f27265]) ).
cnf(s1529,plain,
( spl21_25
| ~ spl21_58
| ~ spl21_71
| ~ spl21_205
| spl21_530
| ~ spl21_638
| spl21_709
| ~ spl21_723 ),
inference(sat_conversion,[],[f33357]) ).
cnf(s1539,plain,
( ~ spl21_530
| ~ spl21_638
| spl21_875 ),
inference(sat_conversion,[],[f33398]) ).
cnf(s1545,plain,
~ spl21_875,
inference(sat_conversion,[],[f33445]) ).
cnf(s1573,plain,
( ~ spl21_58
| ~ spl21_638
| ~ spl21_709
| spl21_772
| spl21_793 ),
inference(sat_conversion,[],[f33889]) ).
cnf(s1579,plain,
( ~ spl21_530
| ~ spl21_638 ),
inference(rat,[],[s1539,s1545]) ).
cnf(s1601,plain,
spl21_60,
inference(rat,[],[s340,s245]) ).
cnf(s1611,plain,
spl21_58,
inference(rat,[],[s68,s70]) ).
cnf(s1612,plain,
spl21_511,
inference(rat,[],[s781,s1601,s1611]) ).
cnf(s1624,plain,
spl21_293,
inference(rat,[],[s789,s245,s1612]) ).
cnf(s1752,plain,
spl21_638,
inference(rat,[],[s1043,s1036,s14]) ).
cnf(s1757,plain,
~ spl21_530,
inference(rat,[],[s1579,s1752]) ).
cnf(s1764,plain,
spl21_723,
inference(rat,[],[s1164,s1624,s1752]) ).
cnf(s1775,plain,
spl21_709,
inference(rat,[],[s1529,s1764,s1752,s65,s1611,s255,s245,s1757]) ).
cnf(s1825,plain,
~ spl21_795,
inference(rat,[],[s1256,s1752,s5]) ).
cnf(s1826,plain,
~ spl21_793,
inference(rat,[],[s1240,s1752,s5]) ).
cnf(s1830,plain,
~ spl21_772,
inference(rat,[],[s1251,s1825]) ).
cnf(s1833,plain,
$false,
inference(rat,[],[s1573,s1775,s1752,s1611,s1826,s1830]) ).
fof(f33948,plain,
$false,
inference(avatar_sat_refutation,[],[s1833]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO002+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:17:19 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.54/3.66 % (3818644)Will run a generic schedule for satisfiability detection.
% 22.54/3.66 % (3818659)dis+10_1_sil=32000:sp=arity:random_seed=3438518058:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 22.54/3.66 % (3818657)% WARNING: option uhcvi not known.
% 22.54/3.66 % (3818656)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1244667485_2999 on theBenchmark for (2999ds/0Mi)
% 22.54/3.66 % (3818657)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3294849729:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 22.54/3.66 % (3818660)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1467974015:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 22.54/3.66 % (3818658)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2441223595:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 22.54/3.66 % (3818662)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4042044128:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 22.54/3.66 % (3818661)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1417058122:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 22.54/3.66 % Detected minimum model sizes of [4]
% 22.54/3.66 % Detected maximum model sizes of [max]
% 22.54/3.66 % TRYING [4]
% 22.54/3.66 % TRYING [5]
% 22.54/3.66 % (3818659)Instruction limit reached!
% 22.54/3.66 % (3818659)------------------------------
% 22.54/3.66 % (3818659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.54/3.66 % (3818659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/3.66 % (3818659)CaDiCaL version: 2.1.3
% 22.54/3.66 % (3818659)Termination reason: Instruction limit
% 22.54/3.66 % (3818659)Termination phase: Saturation
% 22.54/3.66 % (3818659)Time elapsed: 0.040 s
% 22.54/3.66 % (3818659)Peak memory usage: 12 MB
% 22.54/3.66 % (3818659)Instructions burned: 104 (million)
% 22.54/3.66 % (3818690)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=769614495:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 22.54/3.66 % Detected minimum model sizes of [4]
% 22.54/3.66 % Detected maximum model sizes of [max]
% 22.54/3.66 % TRYING [4]
% 22.54/3.66 % TRYING [5]
% 22.54/3.66 % (3818660)Instruction limit reached!
% 22.54/3.66 % (3818660)------------------------------
% 22.54/3.66 % (3818660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.54/3.66 % (3818660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/3.66 % (3818660)CaDiCaL version: 2.1.3
% 22.54/3.66 % (3818660)Termination reason: Instruction limit
% 22.54/3.66 % (3818660)Termination phase: Saturation
% 22.54/3.66 % (3818660)Time elapsed: 0.074 s
% 22.54/3.66 % (3818660)Peak memory usage: 12 MB
% 22.54/3.66 % (3818660)Instructions burned: 117 (million)
% 22.54/3.66 % TRYING [6]
% 22.54/3.66 % (3818661)Instruction limit reached!
% 22.54/3.66 % (3818661)------------------------------
% 22.54/3.66 % (3818661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.54/3.66 % (3818661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/3.66 % (3818661)CaDiCaL version: 2.1.3
% 22.54/3.66 % (3818661)Termination reason: Instruction limit
% 22.54/3.66 % (3818661)Termination phase: Saturation
% 22.54/3.66 % (3818661)Time elapsed: 0.090 s
% 22.54/3.66 % (3818661)Peak memory usage: 13 MB
% 22.54/3.66 % (3818661)Instructions burned: 132 (million)
% 22.54/3.66 % (3818711)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2264116539:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 22.54/3.66 % TRYING [6]
% 22.54/3.66 % (3818716)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=777324529:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 22.54/3.66 % (3818662)Instruction limit reached!
% 22.54/3.66 % (3818662)------------------------------
% 22.54/3.66 % (3818662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.54/3.66 % (3818662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/3.66 % (3818662)CaDiCaL version: 2.1.3
% 22.54/3.66 % (3818662)Termination reason: Instruction limit
% 22.54/3.66 % (3818662)Termination phase: Saturation
% 22.54/3.66 % (3818662)Time elapsed: 0.124 s
% 22.54/3.66 % (3818662)Peak memory usage: 14 MB
% 22.54/3.66 % (3818662)Instructions burned: 160 (million)
% 22.54/3.66 % (3818723)ott-21_1_sil=16000:fs=off:random_seed=2680329388:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 22.54/3.66 % (3818711)Instruction limit reached!
% 22.54/3.66 % (3818711)------------------------------
% 31.49/5.65 % (3818711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/5.65 % (3818711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/5.65 % (3818711)CaDiCaL version: 2.1.3
% 31.49/5.65 % (3818711)Termination reason: Instruction limit
% 31.49/5.65 % (3818711)Termination phase: Saturation
% 31.49/5.65 % (3818711)Time elapsed: 0.092 s
% 31.49/5.65 % (3818711)Peak memory usage: 13 MB
% 31.49/5.65 % (3818711)Instructions burned: 132 (million)
% 31.49/5.65 % (3818690)Instruction limit reached!
% 31.49/5.65 % (3818690)------------------------------
% 31.49/5.65 % (3818690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/5.65 % (3818690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/5.65 % (3818690)CaDiCaL version: 2.1.3
% 31.49/5.65 % (3818690)Termination reason: Instruction limit
% 31.49/5.65 % (3818690)Termination phase: Finite model building SAT solving
% 31.49/5.65 % (3818690)Time elapsed: 0.159 s
% 31.49/5.65 % (3818690)Peak memory usage: 39 MB
% 31.49/5.65 % (3818690)Instructions burned: 716 (million)
% 31.49/5.65 % (3818739)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3252228658:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 31.49/5.65 % (3818745)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3604132560:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 31.49/5.65 % Detected minimum model sizes of [4]
% 31.49/5.65 % Detected maximum model sizes of [max]
% 31.49/5.65 % TRYING [4]
% 31.49/5.65 % TRYING [5]
% 31.49/5.65 % (3818723)Instruction limit reached!
% 31.49/5.65 % (3818723)------------------------------
% 31.49/5.65 % (3818723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/5.65 % (3818723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/5.65 % (3818723)CaDiCaL version: 2.1.3
% 31.49/5.65 % (3818723)Termination reason: Instruction limit
% 31.49/5.65 % (3818723)Termination phase: Saturation
% 31.49/5.65 % (3818723)Time elapsed: 0.140 s
% 31.49/5.65 % (3818723)Peak memory usage: 13 MB
% 31.49/5.65 % (3818723)Instructions burned: 180 (million)
% 31.49/5.65 % TRYING [6]
% 31.49/5.65 % TRYING [7]
% 31.49/5.65 % (3818758)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2140187401:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 31.49/5.65 % (3818745)Instruction limit reached!
% 31.49/5.65 % (3818745)------------------------------
% 31.49/5.65 % (3818745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/5.65 % (3818745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/5.65 % (3818745)CaDiCaL version: 2.1.3
% 31.49/5.65 % (3818745)Termination reason: Instruction limit
% 31.49/5.65 % (3818745)Termination phase: Finite model building SAT solving
% 31.49/5.65 % (3818745)Time elapsed: 0.169 s
% 31.49/5.65 % (3818745)Peak memory usage: 29 MB
% 31.49/5.65 % (3818745)Instructions burned: 867 (million)
% 31.49/5.65 % (3818764)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=352520728:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 31.49/5.65 % (3818716)Instruction limit reached!
% 31.49/5.65 % (3818716)------------------------------
% 31.49/5.65 % (3818716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/5.65 % (3818716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/5.65 % (3818716)CaDiCaL version: 2.1.3
% 31.49/5.65 % (3818716)Termination reason: Instruction limit
% 31.49/5.65 % (3818716)Termination phase: Saturation
% 31.49/5.65 % (3818716)Time elapsed: 0.389 s
% 31.49/5.65 % (3818716)Peak memory usage: 20 MB
% 31.49/5.65 % (3818716)Instructions burned: 685 (million)
% 31.49/5.65 % (3818766)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1844539820:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 31.49/5.65 % (3818739)Instruction limit reached!
% 31.49/5.65 % (3818739)------------------------------
% 31.49/5.65 % (3818739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/5.65 % (3818739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/5.65 % (3818739)CaDiCaL version: 2.1.3
% 31.49/5.65 % (3818739)Termination reason: Instruction limit
% 31.49/5.65 % (3818739)Termination phase: Saturation
% 31.49/5.65 % (3818739)Time elapsed: 0.359 s
% 31.49/5.65 % (3818739)Peak memory usage: 14 MB
% 31.49/5.65 % (3818739)Instructions burned: 478 (million)
% 31.49/5.65 % (3818777)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2195294845:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 58.28/8.78 % TRYING [14]
% 58.28/8.78 % (3818764)Instruction limit reached!
% 58.28/8.78 % (3818764)------------------------------
% 58.28/8.78 % (3818764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.78 % (3818764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.78 % (3818764)CaDiCaL version: 2.1.3
% 58.28/8.78 % (3818764)Termination reason: Instruction limit
% 58.28/8.78 % (3818764)Termination phase: Finite model building constraint generation
% 58.28/8.78 % (3818764)Time elapsed: 0.240 s
% 58.28/8.78 % (3818764)Peak memory usage: 101 MB
% 58.28/8.78 % (3818764)Instructions burned: 891 (million)
% 58.28/8.78 % (3818783)fmb+10_1_sil=64000:random_seed=3752945981:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 58.28/8.78 % Detected minimum model sizes of [4]
% 58.28/8.78 % Detected maximum model sizes of [max]
% 58.28/8.78 % TRYING [4]
% 58.28/8.78 % TRYING [5]
% 58.28/8.78 % TRYING [6]
% 58.28/8.78 % (3818766)Instruction limit reached!
% 58.28/8.78 % (3818766)------------------------------
% 58.28/8.78 % (3818766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.78 % (3818766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.78 % (3818766)CaDiCaL version: 2.1.3
% 58.28/8.78 % (3818766)Termination reason: Instruction limit
% 58.28/8.78 % (3818766)Termination phase: Saturation
% 58.28/8.78 % (3818766)Time elapsed: 0.341 s
% 58.28/8.78 % (3818766)Peak memory usage: 14 MB
% 58.28/8.78 % (3818766)Instructions burned: 692 (million)
% 58.28/8.78 % (3818785)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4190128704:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 58.28/8.78 % Detected minimum model sizes of [4]
% 58.28/8.78 % Detected maximum model sizes of [max]
% 58.28/8.78 % TRYING [20]
% 58.28/8.78 % TRYING [7]
% 58.28/8.78 % (3818758)Instruction limit reached!
% 58.28/8.78 % (3818758)------------------------------
% 58.28/8.78 % (3818758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.78 % (3818758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.78 % (3818758)CaDiCaL version: 2.1.3
% 58.28/8.78 % (3818758)Termination reason: Instruction limit
% 58.28/8.78 % (3818758)Termination phase: Saturation
% 58.28/8.78 % (3818758)Time elapsed: 0.691 s
% 58.28/8.78 % (3818758)Peak memory usage: 24 MB
% 58.28/8.78 % (3818758)Instructions burned: 1180 (million)
% 58.28/8.78 % (3818787)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2146802958:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 58.28/8.78 % Detected minimum model sizes of [4]
% 58.28/8.78 % Detected maximum model sizes of [max]
% 58.28/8.78 % TRYING [8]
% 58.28/8.78 % TRYING [8]
% 58.28/8.78 % (3818777)Instruction limit reached!
% 58.28/8.78 % (3818777)------------------------------
% 58.28/8.78 % (3818777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.78 % (3818777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.78 % (3818777)CaDiCaL version: 2.1.3
% 58.28/8.78 % (3818777)Termination reason: Instruction limit
% 58.28/8.78 % (3818777)Termination phase: Saturation
% 58.28/8.78 % (3818777)Time elapsed: 0.505 s
% 58.28/8.78 % (3818777)Peak memory usage: 18 MB
% 58.28/8.78 % (3818777)Instructions burned: 880 (million)
% 58.28/8.78 % (3818789)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2599310369:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 58.28/8.78 % TRYING [8]
% 58.28/8.78 % (3818787)Instruction limit reached!
% 58.28/8.78 % (3818787)------------------------------
% 58.28/8.78 % (3818787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.78 % (3818787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.78 % (3818787)CaDiCaL version: 2.1.3
% 58.28/8.78 % (3818787)Termination reason: Instruction limit
% 58.28/8.78 % (3818787)Termination phase: Finite model building constraint generation
% 58.28/8.78 % (3818787)Time elapsed: 0.598 s
% 58.28/8.78 % (3818787)Peak memory usage: 78 MB
% 58.28/8.78 % (3818787)Instructions burned: 920 (million)
% 58.28/8.78 % (3818809)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2919591965:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 58.28/8.78 % (3818809)Instruction limit reached!
% 58.28/8.78 % (3818809)------------------------------
% 58.28/8.78 % (3818809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.78 % (3818809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.78 % (3818809)CaDiCaL version: 2.1.3
% 58.28/8.78 % (3818809)Termination reason: Instruction limit
% 58.28/8.78 % (3818809)Termination phase: Saturation
% 58.28/8.78 % (3818809)Time elapsed: 1.515 s
% 58.28/8.78 % (3818809)Peak memory usage: 31 MB
% 58.28/8.78 % (3818809)Instructions burned: 1473 (million)
% 58.28/8.78 % (3818832)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4021877743:i=6324_2967 on theBenchmark for (2967ds/6324Mi)
% 58.28/8.78 % Detected minimum model sizes of [4]
% 58.28/8.78 % Detected maximum model sizes of [max]
% 58.28/8.78 % (3818832)Cannot represent all propositional literals internally
% 58.28/8.78 % (3818832)Refutation not found, incomplete strategy
% 58.28/8.78 % (3818832)------------------------------
% 58.28/8.78 % (3818832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.78 % (3818832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.78 % (3818832)CaDiCaL version: 2.1.3
% 58.28/8.78 % (3818832)Termination reason: Refutation not found, incomplete strategy
% 58.28/8.78 % (3818832)Time elapsed: 0.006 s
% 58.28/8.78 % (3818832)Peak memory usage: 11 MB
% 58.28/8.78 % (3818832)Instructions burned: 8 (million)
% 58.28/8.78 % (3818832)------------------------------
% 58.28/8.78 % (3818832)------------------------------
% 58.28/8.78 % (3818834)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3700656200:fmbsr=2.30978:i=2174_2967 on theBenchmark for (2967ds/2174Mi)
% 58.28/8.78 % Detected minimum model sizes of [4]
% 58.28/8.78 % Detected maximum model sizes of [max]
% 58.28/8.78 % TRYING [16]
% 58.28/8.78 % TRYING [9]
% 58.28/8.78 % TRYING [9]
% 58.28/8.78 % (3818834)Instruction limit reached!
% 58.28/8.78 % (3818834)------------------------------
% 58.28/8.78 % (3818834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.78 % (3818834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.78 % (3818834)CaDiCaL version: 2.1.3
% 58.28/8.78 % (3818834)Termination reason: Instruction limit
% 58.28/8.78 % (3818834)Termination phase: Finite model building constraint generation
% 58.28/8.78 % (3818834)Time elapsed: 0.836 s
% 58.28/8.78 % (3818834)Peak memory usage: 130 MB
% 58.28/8.78 % (3818834)Instructions burned: 2175 (million)
% 58.28/8.78 % (3818983)ott-2_1_sil=16000:newcnf=on:random_seed=2148535925:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2958 on theBenchmark for (2958ds/869Mi)
% 58.28/8.78 % (3818983)Instruction limit reached!
% 58.28/8.78 % (3818983)------------------------------
% 58.28/8.78 % (3818983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.78 % (3818983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.78 % (3818983)CaDiCaL version: 2.1.3
% 58.28/8.78 % (3818983)Termination reason: Instruction limit
% 58.28/8.78 % (3818983)Termination phase: Saturation
% 58.28/8.78 % (3818983)Time elapsed: 0.544 s
% 58.28/8.78 % (3818983)Peak memory usage: 15 MB
% 58.28/8.78 % (3818983)Instructions burned: 870 (million)
% 58.28/8.78 % (3818789)Instruction limit reached!
% 58.28/8.78 % (3818789)------------------------------
% 58.28/8.78 % (3818789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.78 % (3818789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.78 % (3818789)CaDiCaL version: 2.1.3
% 58.28/8.78 % (3818789)Termination reason: Instruction limit
% 58.28/8.78 % (3818789)Termination phase: Saturation
% 58.28/8.78 % (3818789)Time elapsed: 3.582 s
% 58.28/8.78 % (3818789)Peak memory usage: 23 MB
% 58.28/8.78 % (3818789)Instructions burned: 5132 (million)
% 58.28/8.78 % (3818991)ott+10_1_sil=32000:tgt=ground:random_seed=637474755:i=5114:av=off_2952 on theBenchmark for (2952ds/5114Mi)
% 58.28/8.78 % (3818992)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1839028594:i=54282_2952 on theBenchmark for (2952ds/54282Mi)
% 58.28/8.78 % Detected minimum model sizes of [4]
% 58.28/8.78 % Detected maximum model sizes of [max]
% 58.28/8.78 % TRYING [4]
% 58.28/8.78 % TRYING [5]
% 58.28/8.78 % TRYING [6]
% 58.28/8.78 % TRYING [7]
% 58.28/8.78 % (3818785)Instruction limit reached!
% 58.28/8.78 % (3818785)------------------------------
% 58.28/8.78 % (3818785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.78 % (3818785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.78 % (3818785)CaDiCaL version: 2.1.3
% 58.28/8.78 % (3818785)Termination reason: Instruction limit
% 58.28/8.78 % (3818785)Termination phase: Finite model building constraint generation
% 58.28/8.78 % (3818785)Time elapsed: 4.220 s
% 58.28/8.78 % (3818785)Peak memory usage: 514 MB
% 58.28/8.78 % (3818785)Instructions burned: 9515 (million)
% 58.28/8.78 % (3818995)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=759259814:i=3512:aac=none_2947 on theBenchmark for (2947ds/3512Mi)
% 58.28/8.78 % TRYING [10]
% 58.28/8.78 % TRYING [8]
% 58.28/8.78 % (3818783)Instruction limit reached!
% 58.28/8.78 % (3818783)------------------------------
% 58.28/8.78 % (3818783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.78 % (3818783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.78 % (3818783)CaDiCaL version: 2.1.3
% 58.28/8.78 % (3818783)Termination reason: Instruction limit
% 58.28/8.78 % (3818783)Termination phase: Finite model building SAT solving
% 58.28/8.78 % (3818783)Time elapsed: 6.570 s
% 58.28/8.78 % (3818783)Peak memory usage: 303 MB
% 58.28/8.78 % (3818783)Instructions burned: 22065 (million)
% 58.28/8.78 % (3818997)dis+21_1_sil=32000:sas=cadical:random_seed=3054190183:i=3773:amm=off_2927 on theBenchmark for (2927ds/3773Mi)
% 58.28/8.78 % (3818995)Instruction limit reached!
% 58.28/8.78 % (3818995)------------------------------
% 58.28/8.78 % (3818995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.78 % (3818995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.78 % (3818995)CaDiCaL version: 2.1.3
% 58.28/8.78 % (3818995)Termination reason: Instruction limit
% 58.28/8.78 % (3818995)Termination phase: Saturation
% 58.28/8.78 % (3818995)Time elapsed: 2.086 s
% 58.28/8.78 % (3818995)Peak memory usage: 23 MB
% 58.28/8.78 % (3818995)Instructions burned: 3513 (million)
% 58.28/8.78 % (3818999)ott+11_1_sil=16000:gs=on:random_seed=2385768658:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2926 on theBenchmark for (2926ds/2251Mi)
% 58.28/8.78 % TRYING [9]
% 58.28/8.78 % (3818991)Instruction limit reached!
% 58.28/8.78 % (3818991)------------------------------
% 58.28/8.78 % (3818991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.78 % (3818991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.78 % (3818991)CaDiCaL version: 2.1.3
% 58.28/8.78 % (3818991)Termination reason: Instruction limit
% 58.28/8.78 % (3818991)Termination phase: Saturation
% 58.28/8.78 % (3818991)Time elapsed: 3.101 s
% 58.28/8.78 % (3818991)Peak memory usage: 37 MB
% 58.28/8.78 % (3818991)Instructions burned: 5115 (million)
% 58.28/8.78 % (3819001)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2752471591:fmbsr=1.6:i=67534_2921 on theBenchmark for (2921ds/67534Mi)
% 58.28/8.78 % Detected minimum model sizes of [4]
% 58.28/8.78 % Detected maximum model sizes of [max]
% 58.28/8.78 % TRYING [7]
% 58.28/8.78 % (3818997) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3818644-3818997"...
% 58.28/8.78 % (3818997)...printing done.
% 58.28/8.78 % (3818997)Refutation found. Thanks to Tanya!
% 58.28/8.78 % SZS status Theorem for theBenchmark
% 58.28/8.78 % SZS output start Proof for theBenchmark
% See solution above
% 58.28/8.79 % (3818997)------------------------------
% 58.28/8.79 % (3818997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.28/8.79 % (3818997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.28/8.79 % (3818997)CaDiCaL version: 2.1.3
% 58.28/8.79 % (3818997)Termination reason: Refutation
% 58.28/8.79 % (3818997)Time elapsed: 1.014 s
% 58.28/8.79 % (3818997)Peak memory usage: 28 MB
% 58.28/8.79 % (3818997)Instructions burned: 3058 (million)
% 58.28/8.79 % (3818644)Success in time 8.365 s
% 58.28/8.79 % Vampire exiting
%------------------------------------------------------------------------------