%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PRO002+1 : 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 : n016.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 110.61s 18.05s
% Output : Refutation 110.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 28
% Syntax : Number of formulae : 224 ( 49 unt; 3 def)
% Number of atoms : 580 ( 36 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 597 ( 241 ~; 228 |; 96 &)
% ( 10 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 4 prp; 0-5 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 367 ( 0 sgn 322 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(f2,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f8,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f9,axiom,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(f11,axiom,
! [X0,X1] :
( precedes(X0,X1)
<=> ( earlier(X0,X1)
& legal(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(f15,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
fof(f16,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> precedes(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).
fof(f17,axiom,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
fof(f22,axiom,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ~ ? [X3] : min_precedes(X0,X3,X1) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(f25,axiom,
! [X0,X1] :
( subactivity_occurrence(X0,X1)
=> ( activity_occurrence(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',sos_25) ).
fof(f28,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_27) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(f39,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( send_message(X0,X1,X2,X3,X4)
=> ( activity(X0)
& atomic(X0)
& root(X1,X2)
& root(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).
fof(f50,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_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/sandbox/benchmark/theBenchmark.p',sos_50) ).
fof(f52,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_51) ).
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/sandbox/benchmark/theBenchmark.p',sos_52) ).
fof(f55,conjecture,
~ ? [X0,X1,X2] :
( tptp1(X0,tptp0,X1)
& occurrence_of(X2,X0) ),
file('/export/starexec/sandbox/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(f73,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f80,plain,
! [X0,X1,X2] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f81,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
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(f95,plain,
! [X0,X1] :
( ? [X2] :
( root(X2,X0)
& subactivity_occurrence(X2,X1) )
| ~ occurrence_of(X1,X0)
| atomic(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f96,plain,
! [X0,X1] :
( ? [X2] :
( root(X2,X0)
& subactivity_occurrence(X2,X1) )
| ~ occurrence_of(X1,X0)
| atomic(X0) ),
inference(flattening,[],[f95]) ).
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(f110,plain,
! [X0,X1,X2,X3,X4] :
( ( activity(X0)
& atomic(X0)
& root(X1,X2)
& root(X3,X4) )
| ~ send_message(X0,X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f49]) ).
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(f114,plain,
! [X0,X1,X2] :
( ( activity(X0)
& ~ atomic(X0)
& ~ atomic(X1)
& root(X2,X1) )
| ~ tptp1(X0,X1,X2) ),
inference(ennf_transformation,[],[f52]) ).
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(f119,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ earlier(X0,X1)
| ~ legal(X1) )
& ( ( earlier(X0,X1)
& legal(X1) )
| ~ precedes(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f120,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ earlier(X0,X1)
| ~ legal(X1) )
& ( ( earlier(X0,X1)
& legal(X1) )
| ~ precedes(X0,X1) ) ),
inference(flattening,[],[f119]) ).
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(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(f130,plain,
! [X0,X1] :
( ( root(sK9(X0,X1),X0)
& subactivity_occurrence(sK9(X0,X1),X1) )
| ~ occurrence_of(X1,X0)
| atomic(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f96]) ).
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] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK0(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(f146,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ arboreal(X0)
| atomic(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f147,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f148,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f150,plain,
! [X0,X1] :
( ~ precedes(X0,X1)
| legal(X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f163,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f81]) ).
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(f171,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
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(f179,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X1,sK7(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK7(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f183,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| subactivity_occurrence(sK9(X0,X1),X1)
| atomic(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f184,plain,
! [X0,X1] :
( root(sK9(X0,X1),X0)
| ~ occurrence_of(X1,X0)
| atomic(X0) ),
inference(cnf_transformation,[],[f130]) ).
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_occ(X0,X1)
| root(X0,sK11(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] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK11(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] :
( ~ leaf_occ(X0,X1)
| occurrence_of(X1,sK12(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(f216,plain,
! [X2,X3,X0,X1,X4] :
( ~ send_message(X0,X1,X2,X3,X4)
| atomic(X0) ),
inference(cnf_transformation,[],[f110]) ).
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(f222,plain,
! [X2,X0,X1] :
( ~ tptp1(X0,X1,X2)
| root(X2,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ tptp1(X0,X1,X2)
| ~ atomic(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f226,plain,
! [X2,X3,X0,X1] :
( root_occ(sK18(X1,X2,X3),X3)
| ~ tptp1(X0,X1,X2)
| ~ occurrence_of(X3,X0) ),
inference(cnf_transformation,[],[f135]) ).
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,
activity_occurrence(sK21),
inference(unit_resulting_resolution,[],[f137,f230]) ).
fof(f247,plain,
occurrence_of(sK21,sK0(sK21)),
inference(unit_resulting_resolution,[],[f139,f235]) ).
fof(f267,plain,
~ atomic(sK19),
inference(unit_resulting_resolution,[],[f224,f231]) ).
fof(f272,plain,
( ~ arboreal(sK21)
| atomic(sK19) ),
inference(resolution,[],[f146,f230]) ).
fof(f274,plain,
~ arboreal(sK21),
inference(forward_subsumption_resolution,[],[f272,f267]) ).
fof(f281,plain,
~ atomic(sK0(sK21)),
inference(unit_resulting_resolution,[],[f147,f274,f247]) ).
fof(f289,plain,
! [X0] :
( subactivity_occurrence(sK14(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f198,f195]) ).
fof(f290,plain,
! [X0] :
( subactivity_occurrence(sK13(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f200,f192]) ).
fof(f291,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ~ atomic(tptp4)
| arboreal(sK13(X0)) ),
inference(resolution,[],[f201,f147]) ).
fof(f295,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| arboreal(sK13(X0)) ),
inference(forward_subsumption_resolution,[],[f291,f204]) ).
fof(f305,plain,
root(sK20,tptp0),
inference(unit_resulting_resolution,[],[f222,f231]) ).
fof(f307,plain,
! [X0] : ~ min_precedes(X0,sK20,tptp0),
inference(unit_resulting_resolution,[],[f161,f305]) ).
fof(f308,plain,
legal(sK20),
inference(unit_resulting_resolution,[],[f163,f305]) ).
fof(f311,plain,
arboreal(sK20),
inference(unit_resulting_resolution,[],[f148,f308]) ).
fof(f681,plain,
! [X0] :
( root(sK13(X0),sK11(sK13(X0),X0))
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f191,f200]) ).
fof(f788,plain,
! [X0] :
( occurrence_of(X0,sK11(sK13(X0),X0))
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f193,f200]) ).
fof(f985,plain,
! [X0] :
( occurrence_of(X0,sK12(sK14(X0),X0))
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f196,f198]) ).
fof(f1304,plain,
sK19 = sK0(sK21),
inference(unit_resulting_resolution,[],[f141,f247,f230]) ).
fof(f2331,plain,
! [X0] :
( ~ occurrence_of(sK21,X0)
| sK19 = X0 ),
inference(resolution,[],[f141,f230]) ).
fof(f4248,plain,
! [X0] :
( min_precedes(sK13(X0),sK14(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f197,f171]) ).
fof(f4405,plain,
( subactivity_occurrence(sK9(sK19,sK21),sK21)
| atomic(sK19) ),
inference(resolution,[],[f183,f230]) ).
fof(f4408,plain,
subactivity_occurrence(sK9(sK19,sK21),sK21),
inference(forward_subsumption_resolution,[],[f4405,f267]) ).
fof(f4415,plain,
activity_occurrence(sK9(sK19,sK21)),
inference(unit_resulting_resolution,[],[f177,f4408]) ).
fof(f4420,plain,
occurrence_of(sK9(sK19,sK21),sK0(sK9(sK19,sK21))),
inference(unit_resulting_resolution,[],[f139,f4415]) ).
fof(f4431,plain,
! [X0] :
( ~ occurrence_of(sK9(sK19,sK21),X0)
| sK0(sK9(sK19,sK21)) = X0 ),
inference(resolution,[],[f4420,f141]) ).
fof(f4448,definition,
( spl22_7
<=> arboreal(sK9(sK19,sK21)) ),
introduced(definition,[new_symbols(definition,[spl22_7])],[avatar_definition]) ).
fof(f4449,plain,
( ~ arboreal(sK9(sK19,sK21))
| spl22_7 ),
inference(avatar_component_clause,[],[f4448]) ).
fof(f4450,plain,
( arboreal(sK9(sK19,sK21))
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f4448]) ).
fof(f4508,plain,
( ~ legal(sK9(sK19,sK21))
| spl22_7 ),
inference(unit_resulting_resolution,[],[f148,f4449]) ).
fof(f4548,plain,
( ! [X0] : ~ root(sK9(sK19,sK21),X0)
| spl22_7 ),
inference(unit_resulting_resolution,[],[f163,f4508]) ).
fof(f4564,plain,
root(sK9(sK19,sK21),sK19),
inference(unit_resulting_resolution,[],[f184,f267,f230]) ).
fof(f4565,plain,
root(sK9(sK0(sK21),sK21),sK0(sK21)),
inference(unit_resulting_resolution,[],[f184,f281,f247]) ).
fof(f4580,plain,
root(sK9(sK19,sK21),sK19),
inference(forward_demodulation,[],[f4565,f1304]) ).
fof(f4587,plain,
( $false
| spl22_7 ),
inference(forward_subsumption_resolution,[],[f4580,f4548]) ).
fof(f4588,plain,
spl22_7,
inference(avatar_contradiction_clause,[],[f4587]) ).
fof(f4600,plain,
! [X0] : ~ min_precedes(X0,sK9(sK19,sK21),sK19),
inference(unit_resulting_resolution,[],[f161,f4564]) ).
fof(f13564,plain,
root_occ(sK18(tptp0,sK20,sK21),sK21),
inference(unit_resulting_resolution,[],[f226,f230,f231]) ).
fof(f13568,plain,
occurrence_of(sK21,sK11(sK18(tptp0,sK20,sK21),sK21)),
inference(unit_resulting_resolution,[],[f193,f13564]) ).
fof(f13569,plain,
root(sK18(tptp0,sK20,sK21),sK11(sK18(tptp0,sK20,sK21),sK21)),
inference(unit_resulting_resolution,[],[f191,f13564]) ).
fof(f13570,plain,
subactivity_occurrence(sK18(tptp0,sK20,sK21),sK21),
inference(unit_resulting_resolution,[],[f192,f13564]) ).
fof(f13574,plain,
activity_occurrence(sK18(tptp0,sK20,sK21)),
inference(unit_resulting_resolution,[],[f177,f13570]) ).
fof(f13579,plain,
occurrence_of(sK18(tptp0,sK20,sK21),sK0(sK18(tptp0,sK20,sK21))),
inference(unit_resulting_resolution,[],[f139,f13574]) ).
fof(f13597,plain,
sK19 = sK11(sK18(tptp0,sK20,sK21),sK21),
inference(unit_resulting_resolution,[],[f2331,f13568]) ).
fof(f13726,plain,
occurrence_of(sK18(tptp0,sK20,sK21),sK15(tptp0,sK20,sK21)),
inference(unit_resulting_resolution,[],[f227,f230,f231]) ).
fof(f13857,plain,
send_message(sK15(tptp0,sK20,sK21),sK16(tptp0,sK20,sK21),sK17(tptp0,sK20,sK21),sK20,tptp0),
inference(unit_resulting_resolution,[],[f228,f230,f231]) ).
fof(f14158,plain,
min_precedes(sK20,sK18(tptp0,sK20,sK21),tptp0),
inference(unit_resulting_resolution,[],[f221,f13726,f13857]) ).
fof(f14162,plain,
atomic(sK15(tptp0,sK20,sK21)),
inference(unit_resulting_resolution,[],[f216,f13857]) ).
fof(f14173,plain,
arboreal(sK18(tptp0,sK20,sK21)),
inference(unit_resulting_resolution,[],[f147,f13726,f14162]) ).
fof(f14200,plain,
subactivity_occurrence(sK20,sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),
inference(unit_resulting_resolution,[],[f179,f14158]) ).
fof(f14201,plain,
occurrence_of(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)),tptp0),
inference(unit_resulting_resolution,[],[f180,f14158]) ).
fof(f14569,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X1,X0)
| min_precedes(sK14(X0),X1,X2)
| sK14(X0) = X1
| ~ occurrence_of(X0,X2)
| ~ arboreal(X1)
| ~ arboreal(sK14(X0))
| ~ occurrence_of(X0,tptp0)
| min_precedes(X1,sK14(X0),X2) ),
inference(resolution,[],[f289,f185]) ).
fof(f14578,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,tptp0)
| min_precedes(sK13(X0),X1,X2)
| sK13(X0) = X1
| ~ occurrence_of(X0,X2)
| ~ arboreal(X1)
| ~ arboreal(sK13(X0))
| ~ subactivity_occurrence(X1,X0)
| min_precedes(X1,sK13(X0),X2) ),
inference(resolution,[],[f290,f185]) ).
fof(f14584,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X1,X0)
| min_precedes(sK13(X0),X1,X2)
| sK13(X0) = X1
| ~ occurrence_of(X0,X2)
| ~ arboreal(X1)
| ~ occurrence_of(X0,tptp0)
| min_precedes(X1,sK13(X0),X2) ),
inference(forward_subsumption_resolution,[],[f14578,f295]) ).
fof(f14740,plain,
! [X0,X1] :
( ~ occurrence_of(X0,tptp0)
| ~ occurrence_of(X0,X1)
| sK11(sK13(X0),X0) = X1 ),
inference(resolution,[],[f788,f141]) ).
fof(f14754,plain,
! [X0,X1] :
( ~ occurrence_of(X0,tptp0)
| ~ occurrence_of(X0,X1)
| sK12(sK14(X0),X0) = X1 ),
inference(resolution,[],[f985,f141]) ).
fof(f15524,plain,
! [X0] :
( precedes(sK13(X0),sK14(X0))
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f4248,f162]) ).
fof(f15580,plain,
sK0(sK18(tptp0,sK20,sK21)) = sK15(tptp0,sK20,sK21),
inference(unit_resulting_resolution,[],[f141,f13726,f13579]) ).
fof(f21136,plain,
root(sK18(tptp0,sK20,sK21),sK19),
inference(forward_demodulation,[],[f13569,f13597]) ).
fof(f21139,plain,
! [X0] : ~ min_precedes(X0,sK18(tptp0,sK20,sK21),sK19),
inference(unit_resulting_resolution,[],[f161,f21136]) ).
fof(f21154,plain,
( sK9(sK19,sK21) = sK18(tptp0,sK20,sK21)
| ~ spl22_7 ),
inference(unit_resulting_resolution,[],[f185,f230,f4450,f4408,f13570,f14173,f4600,f21139]) ).
fof(f21419,plain,
( min_precedes(sK20,sK9(sK19,sK21),tptp0)
| ~ spl22_7 ),
inference(superposition,[],[f14158,f21154]) ).
fof(f21429,plain,
( subactivity_occurrence(sK20,sK7(tptp0,sK20,sK9(sK19,sK21)))
| ~ spl22_7 ),
inference(superposition,[],[f14200,f21154]) ).
fof(f21430,plain,
( occurrence_of(sK7(tptp0,sK20,sK9(sK19,sK21)),tptp0)
| ~ spl22_7 ),
inference(superposition,[],[f14201,f21154]) ).
fof(f21506,plain,
( sK0(sK9(sK19,sK21)) = sK15(tptp0,sK20,sK21)
| ~ spl22_7 ),
inference(superposition,[],[f15580,f21154]) ).
fof(f21654,plain,
( subactivity_occurrence(sK9(sK19,sK21),sK7(tptp0,sK20,sK9(sK19,sK21)))
| ~ spl22_7 ),
inference(unit_resulting_resolution,[],[f178,f21419]) ).
fof(f22358,plain,
( leaf_occ(sK14(sK7(tptp0,sK20,sK9(sK19,sK21))),sK7(tptp0,sK20,sK9(sK19,sK21)))
| ~ spl22_7 ),
inference(unit_resulting_resolution,[],[f198,f21430]) ).
fof(f23517,plain,
( send_message(sK0(sK9(sK19,sK21)),sK16(tptp0,sK20,sK21),sK17(tptp0,sK20,sK21),sK20,tptp0)
| ~ spl22_7 ),
inference(superposition,[],[f13857,f21506]) ).
fof(f32224,plain,
precedes(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21)))),
inference(unit_resulting_resolution,[],[f15524,f14201]) ).
fof(f32236,plain,
( precedes(sK13(sK7(tptp0,sK20,sK9(sK19,sK21))),sK14(sK7(tptp0,sK20,sK9(sK19,sK21))))
| ~ spl22_7 ),
inference(forward_demodulation,[],[f32224,f21154]) ).
fof(f38307,plain,
tptp0 = sK11(sK13(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),
inference(unit_resulting_resolution,[],[f14740,f14201,f14201]) ).
fof(f38342,plain,
( tptp0 = sK11(sK13(sK7(tptp0,sK20,sK9(sK19,sK21))),sK7(tptp0,sK20,sK9(sK19,sK21)))
| ~ spl22_7 ),
inference(forward_demodulation,[],[f38307,f21154]) ).
fof(f39181,plain,
tptp0 = sK12(sK14(sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),sK7(tptp0,sK20,sK18(tptp0,sK20,sK21))),
inference(unit_resulting_resolution,[],[f14754,f14201,f14201]) ).
fof(f39216,plain,
( tptp0 = sK12(sK14(sK7(tptp0,sK20,sK9(sK19,sK21))),sK7(tptp0,sK20,sK9(sK19,sK21)))
| ~ spl22_7 ),
inference(forward_demodulation,[],[f39181,f21154]) ).
fof(f52622,plain,
( legal(sK14(sK7(tptp0,sK20,sK9(sK19,sK21))))
| ~ spl22_7 ),
inference(unit_resulting_resolution,[],[f150,f32236]) ).
fof(f52626,plain,
( arboreal(sK14(sK7(tptp0,sK20,sK9(sK19,sK21))))
| ~ spl22_7 ),
inference(unit_resulting_resolution,[],[f148,f52622]) ).
fof(f64160,plain,
( root(sK13(sK7(tptp0,sK20,sK9(sK19,sK21))),tptp0)
| ~ occurrence_of(sK7(tptp0,sK20,sK9(sK19,sK21)),tptp0)
| ~ spl22_7 ),
inference(superposition,[],[f681,f38342]) ).
fof(f64175,plain,
( root(sK13(sK7(tptp0,sK20,sK9(sK19,sK21))),tptp0)
| ~ spl22_7 ),
inference(forward_subsumption_resolution,[],[f64160,f21430]) ).
fof(f64180,plain,
( ! [X0] : ~ min_precedes(X0,sK13(sK7(tptp0,sK20,sK9(sK19,sK21))),tptp0)
| ~ spl22_7 ),
inference(unit_resulting_resolution,[],[f161,f64175]) ).
fof(f64206,plain,
( sK20 = sK13(sK7(tptp0,sK20,sK9(sK19,sK21)))
| ~ spl22_7 ),
inference(unit_resulting_resolution,[],[f14584,f311,f21429,f21430,f21430,f307,f64180]) ).
fof(f64348,plain,
( next_subocc(sK20,sK14(sK7(tptp0,sK20,sK9(sK19,sK21))),tptp0)
| ~ occurrence_of(sK7(tptp0,sK20,sK9(sK19,sK21)),tptp0)
| ~ spl22_7 ),
inference(superposition,[],[f197,f64206]) ).
fof(f64458,plain,
( next_subocc(sK20,sK14(sK7(tptp0,sK20,sK9(sK19,sK21))),tptp0)
| ~ spl22_7 ),
inference(forward_subsumption_resolution,[],[f64348,f21430]) ).
fof(f64686,plain,
( ~ min_precedes(sK9(sK19,sK21),sK14(sK7(tptp0,sK20,sK9(sK19,sK21))),tptp0)
| ~ spl22_7 ),
inference(unit_resulting_resolution,[],[f170,f21419,f64458]) ).
fof(f68443,plain,
( leaf(sK14(sK7(tptp0,sK20,sK9(sK19,sK21))),tptp0)
| ~ leaf_occ(sK14(sK7(tptp0,sK20,sK9(sK19,sK21))),sK7(tptp0,sK20,sK9(sK19,sK21)))
| ~ spl22_7 ),
inference(superposition,[],[f194,f39216]) ).
fof(f68444,plain,
( leaf(sK14(sK7(tptp0,sK20,sK9(sK19,sK21))),tptp0)
| ~ spl22_7 ),
inference(forward_subsumption_resolution,[],[f68443,f22358]) ).
fof(f68448,plain,
( ! [X0] : ~ min_precedes(sK14(sK7(tptp0,sK20,sK9(sK19,sK21))),X0,tptp0)
| ~ spl22_7 ),
inference(unit_resulting_resolution,[],[f168,f68444]) ).
fof(f68451,plain,
( sK9(sK19,sK21) = sK14(sK7(tptp0,sK20,sK9(sK19,sK21)))
| ~ spl22_7 ),
inference(unit_resulting_resolution,[],[f14569,f4450,f21430,f21430,f52626,f21654,f64686,f68448]) ).
fof(f68866,plain,
( occurrence_of(sK9(sK19,sK21),tptp2)
| occurrence_of(sK9(sK19,sK21),tptp3)
| ~ occurrence_of(sK7(tptp0,sK20,sK9(sK19,sK21)),tptp0)
| ~ spl22_7 ),
inference(superposition,[],[f199,f68451]) ).
fof(f68918,plain,
( occurrence_of(sK9(sK19,sK21),tptp2)
| occurrence_of(sK9(sK19,sK21),tptp3)
| ~ spl22_7 ),
inference(forward_subsumption_resolution,[],[f68866,f21430]) ).
fof(f69200,definition,
( spl22_29
<=> occurrence_of(sK9(sK19,sK21),tptp3) ),
introduced(definition,[new_symbols(definition,[spl22_29])],[avatar_definition]) ).
fof(f69202,plain,
( occurrence_of(sK9(sK19,sK21),tptp3)
| ~ spl22_29 ),
inference(avatar_component_clause,[],[f69200]) ).
fof(f69204,definition,
( spl22_30
<=> occurrence_of(sK9(sK19,sK21),tptp2) ),
introduced(definition,[new_symbols(definition,[spl22_30])],[avatar_definition]) ).
fof(f69206,plain,
( occurrence_of(sK9(sK19,sK21),tptp2)
| ~ spl22_30 ),
inference(avatar_component_clause,[],[f69204]) ).
fof(f69207,plain,
( spl22_29
| spl22_30
| ~ spl22_7 ),
inference(avatar_split_clause,[],[f68918,f4448,f69204,f69200]) ).
fof(f69208,plain,
( tptp3 = sK0(sK9(sK19,sK21))
| ~ spl22_29 ),
inference(unit_resulting_resolution,[],[f4431,f69202]) ).
fof(f69465,plain,
( send_message(tptp3,sK16(tptp0,sK20,sK21),sK17(tptp0,sK20,sK21),sK20,tptp0)
| ~ spl22_7
| ~ spl22_29 ),
inference(superposition,[],[f23517,f69208]) ).
fof(f69499,plain,
( $false
| ~ spl22_7
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f69465,f233]) ).
fof(f69500,plain,
( ~ spl22_7
| ~ spl22_29 ),
inference(avatar_contradiction_clause,[],[f69499]) ).
fof(f69502,plain,
( tptp2 = sK0(sK9(sK19,sK21))
| ~ spl22_30 ),
inference(unit_resulting_resolution,[],[f4431,f69206]) ).
fof(f69725,plain,
( send_message(tptp2,sK16(tptp0,sK20,sK21),sK17(tptp0,sK20,sK21),sK20,tptp0)
| ~ spl22_7
| ~ spl22_30 ),
inference(superposition,[],[f23517,f69502]) ).
fof(f69759,plain,
( $false
| ~ spl22_7
| ~ spl22_30 ),
inference(forward_subsumption_resolution,[],[f69725,f234]) ).
fof(f69760,plain,
( ~ spl22_7
| ~ spl22_30 ),
inference(avatar_contradiction_clause,[],[f69759]) ).
cnf(s19,plain,
spl22_7,
inference(sat_conversion,[],[f4588]) ).
cnf(s34,plain,
( ~ spl22_7
| spl22_29
| spl22_30 ),
inference(sat_conversion,[],[f69207]) ).
cnf(s36,plain,
( ~ spl22_7
| ~ spl22_29 ),
inference(sat_conversion,[],[f69500]) ).
cnf(s37,plain,
( ~ spl22_7
| ~ spl22_30 ),
inference(sat_conversion,[],[f69760]) ).
cnf(s38,plain,
~ spl22_30,
inference(rat,[],[s37,s19]) ).
cnf(s39,plain,
~ spl22_29,
inference(rat,[],[s36,s19]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s34,s38,s39,s19]) ).
fof(f69762,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO002+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 22:20:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 15.57/2.61 % (3051159)Will run a generic schedule for satisfiability detection.
% 15.57/2.61 % (3051167)dis+10_1_sil=32000:sp=arity:random_seed=303393012:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.57/2.61 % (3051165)% WARNING: option uhcvi not known.
% 15.57/2.61 % (3051164)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1598331707_2999 on theBenchmark for (2999ds/0Mi)
% 15.57/2.61 % (3051166)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2426561952:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.57/2.61 % (3051168)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=905838203:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.57/2.61 % (3051170)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2526013468:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.57/2.61 % (3051169)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2701386871:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.57/2.61 % (3051165)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3975529004:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.57/2.61 % Detected minimum model sizes of [4]
% 15.57/2.61 % Detected maximum model sizes of [max]
% 15.57/2.61 % TRYING [4]
% 15.57/2.61 % TRYING [5]
% 15.57/2.61 % (3051167)Instruction limit reached!
% 15.57/2.61 % (3051167)------------------------------
% 15.57/2.61 % (3051167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.57/2.61 % (3051167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/2.61 % (3051167)CaDiCaL version: 2.1.3
% 15.57/2.61 % (3051167)Termination reason: Instruction limit
% 15.57/2.61 % (3051167)Termination phase: Saturation
% 15.57/2.61 % (3051167)Time elapsed: 0.040 s
% 15.57/2.61 % (3051167)Peak memory usage: 12 MB
% 15.57/2.61 % (3051167)Instructions burned: 106 (million)
% 15.57/2.61 % (3051178)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=624588859:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.57/2.61 % Detected minimum model sizes of [4]
% 15.57/2.61 % Detected maximum model sizes of [max]
% 15.57/2.61 % TRYING [4]
% 15.57/2.61 % TRYING [5]
% 15.57/2.61 % (3051168)Instruction limit reached!
% 15.57/2.61 % (3051168)------------------------------
% 15.57/2.61 % (3051168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.57/2.61 % (3051168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/2.61 % (3051168)CaDiCaL version: 2.1.3
% 15.57/2.61 % (3051168)Termination reason: Instruction limit
% 15.57/2.61 % (3051168)Termination phase: Saturation
% 15.57/2.61 % (3051168)Time elapsed: 0.070 s
% 15.57/2.61 % (3051168)Peak memory usage: 12 MB
% 15.57/2.61 % (3051168)Instructions burned: 117 (million)
% 15.57/2.61 % (3051169)Instruction limit reached!
% 15.57/2.61 % (3051169)------------------------------
% 15.57/2.61 % (3051169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.57/2.61 % (3051169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/2.61 % (3051169)CaDiCaL version: 2.1.3
% 15.57/2.61 % (3051169)Termination reason: Instruction limit
% 15.57/2.61 % (3051169)Termination phase: Saturation
% 15.57/2.61 % (3051169)Time elapsed: 0.089 s
% 15.57/2.61 % (3051169)Peak memory usage: 14 MB
% 15.57/2.61 % (3051169)Instructions burned: 131 (million)
% 15.57/2.61 % (3051180)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3999826838:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.57/2.61 % TRYING [6]
% 15.57/2.61 % TRYING [6]
% 15.57/2.61 % (3051182)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=124929348:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.57/2.61 % (3051170)Instruction limit reached!
% 15.57/2.61 % (3051170)------------------------------
% 15.57/2.61 % (3051170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.57/2.61 % (3051170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/2.61 % (3051170)CaDiCaL version: 2.1.3
% 15.57/2.61 % (3051170)Termination reason: Instruction limit
% 15.57/2.61 % (3051170)Termination phase: Saturation
% 15.57/2.61 % (3051170)Time elapsed: 0.121 s
% 15.57/2.61 % (3051170)Peak memory usage: 14 MB
% 15.57/2.61 % (3051170)Instructions burned: 160 (million)
% 15.57/2.61 % (3051184)ott-21_1_sil=16000:fs=off:random_seed=1006287389:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.57/2.61 % (3051180)Instruction limit reached!
% 15.57/2.61 % (3051180)------------------------------
% 30.19/4.79 % (3051180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.19/4.79 % (3051180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.19/4.79 % (3051180)CaDiCaL version: 2.1.3
% 30.19/4.79 % (3051180)Termination reason: Instruction limit
% 30.19/4.79 % (3051180)Termination phase: Saturation
% 30.19/4.79 % (3051180)Time elapsed: 0.091 s
% 30.19/4.79 % (3051180)Peak memory usage: 13 MB
% 30.19/4.79 % (3051180)Instructions burned: 132 (million)
% 30.19/4.79 % (3051186)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=357572966:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 30.19/4.79 % (3051178)Instruction limit reached!
% 30.19/4.79 % (3051178)------------------------------
% 30.19/4.79 % (3051178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.19/4.79 % (3051178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.19/4.79 % (3051178)CaDiCaL version: 2.1.3
% 30.19/4.79 % (3051178)Termination reason: Instruction limit
% 30.19/4.79 % (3051178)Termination phase: Finite model building SAT solving
% 30.19/4.79 % (3051178)Time elapsed: 0.159 s
% 30.19/4.79 % (3051178)Peak memory usage: 42 MB
% 30.19/4.79 % (3051178)Instructions burned: 714 (million)
% 30.19/4.79 % (3051188)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2529969417:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 30.19/4.79 % Detected minimum model sizes of [4]
% 30.19/4.79 % Detected maximum model sizes of [max]
% 30.19/4.79 % TRYING [4]
% 30.19/4.79 % (3051184)Instruction limit reached!
% 30.19/4.79 % (3051184)------------------------------
% 30.19/4.79 % (3051184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.19/4.79 % (3051184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.19/4.79 % (3051184)CaDiCaL version: 2.1.3
% 30.19/4.79 % (3051184)Termination reason: Instruction limit
% 30.19/4.79 % (3051184)Termination phase: Saturation
% 30.19/4.79 % (3051184)Time elapsed: 0.100 s
% 30.19/4.79 % (3051184)Peak memory usage: 13 MB
% 30.19/4.79 % TRYING [5]
% 30.19/4.79 % (3051184)Instructions burned: 180 (million)
% 30.19/4.79 % (3051190)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=865792048:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 30.19/4.79 % TRYING [6]
% 30.19/4.79 % TRYING [7]
% 30.19/4.79 % (3051188)Instruction limit reached!
% 30.19/4.79 % (3051188)------------------------------
% 30.19/4.79 % (3051188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.19/4.79 % (3051188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.19/4.79 % (3051188)CaDiCaL version: 2.1.3
% 30.19/4.79 % (3051188)Termination reason: Instruction limit
% 30.19/4.79 % (3051188)Termination phase: Finite model building SAT solving
% 30.19/4.79 % (3051188)Time elapsed: 0.171 s
% 30.19/4.79 % (3051188)Peak memory usage: 30 MB
% 30.19/4.79 % (3051188)Instructions burned: 871 (million)
% 30.19/4.79 % (3051192)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=695477999:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 30.19/4.79 % (3051182)Instruction limit reached!
% 30.19/4.79 % (3051182)------------------------------
% 30.19/4.79 % (3051182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.19/4.79 % (3051182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.19/4.79 % (3051182)CaDiCaL version: 2.1.3
% 30.19/4.79 % (3051182)Termination reason: Instruction limit
% 30.19/4.79 % (3051182)Termination phase: Saturation
% 30.19/4.79 % (3051182)Time elapsed: 0.431 s
% 30.19/4.79 % (3051182)Peak memory usage: 19 MB
% 30.19/4.79 % (3051182)Instructions burned: 684 (million)
% 30.19/4.79 % (3051186)Instruction limit reached!
% 30.19/4.79 % (3051186)------------------------------
% 30.19/4.79 % (3051186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.19/4.79 % (3051186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.19/4.79 % (3051186)CaDiCaL version: 2.1.3
% 30.19/4.79 % (3051186)Termination reason: Instruction limit
% 30.19/4.79 % (3051186)Termination phase: Saturation
% 30.19/4.79 % (3051186)Time elapsed: 0.342 s
% 30.19/4.79 % (3051186)Peak memory usage: 15 MB
% 30.19/4.79 % (3051186)Instructions burned: 477 (million)
% 30.19/4.79 % (3051194)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=391067525: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)
% 30.19/4.79 % (3051195)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2738040777:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 66.53/9.96 % TRYING [14]
% 66.53/9.96 % (3051192)Instruction limit reached!
% 66.53/9.96 % (3051192)------------------------------
% 66.53/9.96 % (3051192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.53/9.96 % (3051192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.53/9.96 % (3051192)CaDiCaL version: 2.1.3
% 66.53/9.96 % (3051192)Termination reason: Instruction limit
% 66.53/9.96 % (3051192)Termination phase: Finite model building constraint generation
% 66.53/9.96 % (3051192)Time elapsed: 0.233 s
% 66.53/9.96 % (3051192)Peak memory usage: 104 MB
% 66.53/9.96 % (3051192)Instructions burned: 893 (million)
% 66.53/9.96 % (3051198)fmb+10_1_sil=64000:random_seed=3119224544:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 66.53/9.96 % Detected minimum model sizes of [4]
% 66.53/9.96 % Detected maximum model sizes of [max]
% 66.53/9.96 % TRYING [4]
% 66.53/9.96 % TRYING [5]
% 66.53/9.96 % TRYING [6]
% 66.53/9.96 % TRYING [7]
% 66.53/9.96 % (3051194)Instruction limit reached!
% 66.53/9.96 % (3051194)------------------------------
% 66.53/9.96 % (3051194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.53/9.96 % (3051194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.53/9.96 % (3051194)CaDiCaL version: 2.1.3
% 66.53/9.96 % (3051194)Termination reason: Instruction limit
% 66.53/9.96 % (3051194)Termination phase: Saturation
% 66.53/9.96 % (3051194)Time elapsed: 0.398 s
% 66.53/9.96 % (3051194)Peak memory usage: 20 MB
% 66.53/9.96 % (3051194)Instructions burned: 692 (million)
% 66.53/9.96 % (3051200)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=979610647:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 66.53/9.96 % Detected minimum model sizes of [4]
% 66.53/9.96 % Detected maximum model sizes of [max]
% 66.53/9.96 % TRYING [20]
% 66.53/9.96 % TRYING [8]
% 66.53/9.96 % (3051190)Instruction limit reached!
% 66.53/9.96 % (3051190)------------------------------
% 66.53/9.96 % (3051190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.53/9.96 % (3051190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.53/9.96 % (3051190)CaDiCaL version: 2.1.3
% 66.53/9.96 % (3051190)Termination reason: Instruction limit
% 66.53/9.96 % (3051190)Termination phase: Saturation
% 66.53/9.97 % (3051190)Time elapsed: 0.741 s
% 66.53/9.97 % (3051190)Peak memory usage: 24 MB
% 66.53/9.97 % (3051190)Instructions burned: 1180 (million)
% 66.53/9.97 % (3051202)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2695992006:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 66.53/9.97 % Detected minimum model sizes of [4]
% 66.53/9.97 % Detected maximum model sizes of [max]
% 66.53/9.97 % TRYING [8]
% 66.53/9.97 % (3051195)Instruction limit reached!
% 66.53/9.97 % (3051195)------------------------------
% 66.53/9.97 % (3051195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.53/9.97 % (3051195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.53/9.97 % (3051195)CaDiCaL version: 2.1.3
% 66.53/9.97 % (3051195)Termination reason: Instruction limit
% 66.53/9.97 % (3051195)Termination phase: Saturation
% 66.53/9.97 % (3051195)Time elapsed: 0.501 s
% 66.53/9.97 % (3051195)Peak memory usage: 19 MB
% 66.53/9.97 % (3051195)Instructions burned: 879 (million)
% 66.53/9.97 % (3051204)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1347420481:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 66.53/9.97 % TRYING [8]
% 66.53/9.97 % (3051202)Instruction limit reached!
% 66.53/9.97 % (3051202)------------------------------
% 66.53/9.97 % (3051202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.53/9.97 % (3051202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.53/9.97 % (3051202)CaDiCaL version: 2.1.3
% 66.53/9.97 % (3051202)Termination reason: Instruction limit
% 66.53/9.97 % (3051202)Termination phase: Finite model building constraint generation
% 66.53/9.97 % (3051202)Time elapsed: 0.366 s
% 66.53/9.97 % (3051202)Peak memory usage: 83 MB
% 66.53/9.97 % (3051202)Instructions burned: 921 (million)
% 66.53/9.97 % (3051206)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3608961883:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 66.53/9.97 % (3051206)Instruction limit reached!
% 66.53/9.97 % (3051206)------------------------------
% 66.53/9.97 % (3051206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.53/9.97 % (3051206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.53/9.97 % (3051206)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051206)Termination reason: Instruction limit
% 110.61/18.05 % (3051206)Termination phase: Saturation
% 110.61/18.05 % (3051206)Time elapsed: 0.759 s
% 110.61/18.05 % (3051206)Peak memory usage: 25 MB
% 110.61/18.05 % (3051206)Instructions burned: 1474 (million)
% 110.61/18.05 % (3051208)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2845246106:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 110.61/18.05 % Detected minimum model sizes of [4]
% 110.61/18.05 % Detected maximum model sizes of [max]
% 110.61/18.05 % (3051208)Cannot represent all propositional literals internally
% 110.61/18.05 % (3051208)Refutation not found, incomplete strategy
% 110.61/18.05 % (3051208)------------------------------
% 110.61/18.05 % (3051208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.61/18.05 % (3051208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.61/18.05 % (3051208)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051208)Termination reason: Refutation not found, incomplete strategy
% 110.61/18.05 % (3051208)Time elapsed: 0.005 s
% 110.61/18.05 % (3051208)Peak memory usage: 11 MB
% 110.61/18.05 % (3051208)Instructions burned: 8 (million)
% 110.61/18.05 % (3051208)------------------------------
% 110.61/18.05 % (3051208)------------------------------
% 110.61/18.05 % (3051210)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=773049705:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 110.61/18.05 % Detected minimum model sizes of [4]
% 110.61/18.05 % Detected maximum model sizes of [max]
% 110.61/18.05 % TRYING [16]
% 110.61/18.05 % TRYING [9]
% 110.61/18.05 % (3051210)Instruction limit reached!
% 110.61/18.05 % (3051210)------------------------------
% 110.61/18.05 % (3051210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.61/18.05 % (3051210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.61/18.05 % (3051210)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051210)Termination reason: Instruction limit
% 110.61/18.05 % (3051210)Termination phase: Finite model building constraint generation
% 110.61/18.05 % (3051210)Time elapsed: 0.786 s
% 110.61/18.05 % (3051210)Peak memory usage: 129 MB
% 110.61/18.05 % (3051210)Instructions burned: 2176 (million)
% 110.61/18.05 % (3051212)ott-2_1_sil=16000:newcnf=on:random_seed=1371962261:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2969 on theBenchmark for (2969ds/869Mi)
% 110.61/18.05 % (3051212)Instruction limit reached!
% 110.61/18.05 % (3051212)------------------------------
% 110.61/18.05 % (3051212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.61/18.05 % (3051212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.61/18.05 % (3051212)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051212)Termination reason: Instruction limit
% 110.61/18.05 % (3051212)Termination phase: Saturation
% 110.61/18.05 % (3051212)Time elapsed: 0.345 s
% 110.61/18.05 % (3051212)Peak memory usage: 15 MB
% 110.61/18.05 % (3051212)Instructions burned: 869 (million)
% 110.61/18.05 % (3051214)ott+10_1_sil=32000:tgt=ground:random_seed=4005775814:i=5114:av=off_2965 on theBenchmark for (2965ds/5114Mi)
% 110.61/18.05 % TRYING [9]
% 110.61/18.05 % (3051204)Instruction limit reached!
% 110.61/18.05 % (3051204)------------------------------
% 110.61/18.05 % (3051204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.61/18.05 % (3051204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.61/18.05 % (3051204)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051204)Termination reason: Instruction limit
% 110.61/18.05 % (3051204)Termination phase: Saturation
% 110.61/18.05 % (3051204)Time elapsed: 2.912 s
% 110.61/18.05 % (3051204)Peak memory usage: 20 MB
% 110.61/18.05 % (3051204)Instructions burned: 5131 (million)
% 110.61/18.05 % (3051217)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3125728022:i=54282_2959 on theBenchmark for (2959ds/54282Mi)
% 110.61/18.05 % Detected minimum model sizes of [4]
% 110.61/18.05 % Detected maximum model sizes of [max]
% 110.61/18.05 % TRYING [4]
% 110.61/18.05 % TRYING [5]
% 110.61/18.05 % TRYING [6]
% 110.61/18.05 % (3051200)Instruction limit reached!
% 110.61/18.05 % (3051200)------------------------------
% 110.61/18.05 % (3051200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.61/18.05 % (3051200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.61/18.05 % (3051200)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051200)Termination reason: Instruction limit
% 110.61/18.05 % (3051200)Termination phase: Finite model building constraint generation
% 110.61/18.05 % (3051200)Time elapsed: 3.285 s
% 110.61/18.05 % (3051200)Peak memory usage: 514 MB
% 110.61/18.05 % (3051200)Instructions burned: 9517 (million)
% 110.61/18.05 % TRYING [7]
% 110.61/18.05 % (3051219)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4031509431:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 110.61/18.05 % TRYING [8]
% 110.61/18.05 % TRYING [10]
% 110.61/18.05 % (3051219)Instruction limit reached!
% 110.61/18.05 % (3051219)------------------------------
% 110.61/18.05 % (3051219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.61/18.05 % (3051219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.61/18.05 % (3051219)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051219)Termination reason: Instruction limit
% 110.61/18.05 % (3051219)Termination phase: Saturation
% 110.61/18.05 % (3051219)Time elapsed: 1.955 s
% 110.61/18.05 % (3051219)Peak memory usage: 18 MB
% 110.61/18.05 % (3051219)Instructions burned: 3512 (million)
% 110.61/18.05 % (3051221)dis+21_1_sil=32000:sas=cadical:random_seed=2351550049:i=3773:amm=off_2936 on theBenchmark for (2936ds/3773Mi)
% 110.61/18.05 % (3051214)Instruction limit reached!
% 110.61/18.05 % (3051214)------------------------------
% 110.61/18.05 % (3051214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.61/18.05 % (3051214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.61/18.05 % (3051214)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051214)Termination reason: Instruction limit
% 110.61/18.05 % (3051214)Termination phase: Saturation
% 110.61/18.05 % (3051214)Time elapsed: 3.144 s
% 110.61/18.05 % (3051214)Peak memory usage: 42 MB
% 110.61/18.05 % (3051214)Instructions burned: 5114 (million)
% 110.61/18.05 % (3051223)ott+11_1_sil=16000:gs=on:random_seed=259576628:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2933 on theBenchmark for (2933ds/2251Mi)
% 110.61/18.05 % (3051198)Instruction limit reached!
% 110.61/18.05 % (3051198)------------------------------
% 110.61/18.05 % (3051198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.61/18.05 % (3051198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.61/18.05 % (3051198)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051198)Termination reason: Instruction limit
% 110.61/18.05 % (3051198)Termination phase: Finite model building constraint generation
% 110.61/18.05 % (3051198)Time elapsed: 6.014 s
% 110.61/18.05 % (3051198)Peak memory usage: 316 MB
% 110.61/18.05 % (3051198)Instructions burned: 22064 (million)
% 110.61/18.05 % (3051225)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1318633293:fmbsr=1.6:i=67534_2932 on theBenchmark for (2932ds/67534Mi)
% 110.61/18.05 % Detected minimum model sizes of [4]
% 110.61/18.05 % Detected maximum model sizes of [max]
% 110.61/18.05 % TRYING [7]
% 110.61/18.05 % TRYING [8]
% 110.61/18.05 % TRYING [9]
% 110.61/18.05 % (3051223)Instruction limit reached!
% 110.61/18.05 % (3051223)------------------------------
% 110.61/18.05 % (3051223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.61/18.05 % (3051223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.61/18.05 % (3051223)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051223)Termination reason: Instruction limit
% 110.61/18.05 % (3051223)Termination phase: Saturation
% 110.61/18.05 % (3051223)Time elapsed: 1.451 s
% 110.61/18.05 % (3051223)Peak memory usage: 31 MB
% 110.61/18.05 % (3051223)Instructions burned: 2251 (million)
% 110.61/18.05 % (3051227)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2399594116:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2919 on theBenchmark for (2919ds/4591Mi)
% 110.61/18.05 % TRYING [9]
% 110.61/18.05 % (3051221)Instruction limit reached!
% 110.61/18.05 % (3051221)------------------------------
% 110.61/18.05 % (3051221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.61/18.05 % (3051221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.61/18.05 % (3051221)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051221)Termination reason: Instruction limit
% 110.61/18.05 % (3051221)Termination phase: Saturation
% 110.61/18.05 % (3051221)Time elapsed: 2.318 s
% 110.61/18.05 % (3051221)Peak memory usage: 31 MB
% 110.61/18.05 % (3051221)Instructions burned: 3773 (million)
% 110.61/18.05 % (3051229)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3837054561:i=29340_2913 on theBenchmark for (2913ds/29340Mi)
% 110.61/18.05 % (3051227)Instruction limit reached!
% 110.61/18.05 % (3051227)------------------------------
% 110.61/18.05 % (3051227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.61/18.05 % (3051227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.61/18.05 % (3051227)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051227)Termination reason: Instruction limit
% 110.61/18.05 % (3051227)Termination phase: Saturation
% 110.61/18.05 % (3051227)Time elapsed: 1.448 s
% 110.61/18.05 % (3051227)Peak memory usage: 12 MB
% 110.61/18.05 % (3051227)Instructions burned: 4593 (million)
% 110.61/18.05 % (3051231)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1831003632:i=5211_2904 on theBenchmark for (2904ds/5211Mi)
% 110.61/18.05 % TRYING [10]
% 110.61/18.05 % (3051231)Instruction limit reached!
% 110.61/18.05 % (3051231)------------------------------
% 110.61/18.05 % (3051231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.61/18.05 % (3051231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.61/18.05 % (3051231)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051231)Termination reason: Instruction limit
% 110.61/18.05 % (3051231)Termination phase: Saturation
% 110.61/18.05 % (3051231)Time elapsed: 2.830 s
% 110.61/18.05 % (3051231)Peak memory usage: 34 MB
% 110.61/18.05 % (3051231)Instructions burned: 5212 (million)
% 110.61/18.05 % (3051233)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1050346231:i=5497:nm=2_2875 on theBenchmark for (2875ds/5497Mi)
% 110.61/18.05 % Detected minimum model sizes of [4]
% 110.61/18.05 % Detected maximum model sizes of [max]
% 110.61/18.05 % TRYING [17]
% 110.61/18.05 % (3051233)Instruction limit reached!
% 110.61/18.05 % (3051233)------------------------------
% 110.61/18.05 % (3051233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.61/18.05 % (3051233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.61/18.05 % (3051233)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051233)Termination reason: Instruction limit
% 110.61/18.05 % (3051233)Termination phase: Finite model building constraint generation
% 110.61/18.05 % (3051233)Time elapsed: 1.897 s
% 110.61/18.05 % (3051233)Peak memory usage: 311 MB
% 110.61/18.05 % (3051233)Instructions burned: 5498 (million)
% 110.61/18.05 % (3051235)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3027205115:fmbsr=2:i=46332_2856 on theBenchmark for (2856ds/46332Mi)
% 110.61/18.05 % Detected minimum model sizes of [4]
% 110.61/18.05 % Detected maximum model sizes of [max]
% 110.61/18.05 % TRYING [15]
% 110.61/18.05 % TRYING [10]
% 110.61/18.05 % TRYING [11]
% 110.61/18.05 % TRYING [10]
% 110.61/18.05 % (3051229) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3051159-3051229"...
% 110.61/18.05 % (3051229)...printing done.
% 110.61/18.05 % (3051229)Refutation found. Thanks to Tanya!
% 110.61/18.05 % SZS status Theorem for theBenchmark
% 110.61/18.05 % SZS output start Proof for theBenchmark
% See solution above
% 110.61/18.05 % (3051229)------------------------------
% 110.61/18.05 % (3051229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.61/18.05 % (3051229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.61/18.05 % (3051229)CaDiCaL version: 2.1.3
% 110.61/18.05 % (3051229)Termination reason: Refutation
% 110.61/18.05 % (3051229)Time elapsed: 8.855 s
% 110.61/18.05 % (3051229)Peak memory usage: 38 MB
% 110.61/18.05 % (3051229)Instructions burned: 17286 (million)
% 110.61/18.05 % (3051159)Success in time 17.641 s
% 110.61/18.05 % Vampire exiting
%------------------------------------------------------------------------------