%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PRO005+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:30:34 PM UTC 2026
% Result : Theorem 7.81s 3.06s
% Output : Refutation 7.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 29
% Syntax : Number of formulae : 207 ( 30 unt; 8 def)
% Number of atoms : 577 ( 31 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 577 ( 207 ~; 301 |; 40 &)
% ( 15 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 9 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 273 ( 0 sgn 248 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
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/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f8,axiom,
! [X0,X1] :
( ( leaf(X0,X1)
& ~ atomic(X1) )
=> ? [X2] :
( occurrence_of(X2,X1)
& leaf_occ(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& leaf_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& root_occ(X1,X0) )
=> ~ ? [X3] : min_precedes(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(f13,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(f16,axiom,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ~ ? [X3] : min_precedes(X0,X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(f17,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
fof(f20,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).
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/sandbox2/benchmark/theBenchmark.p',sos_26) ).
fof(f29,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X2,X3)
& ~ atomic(X3)
& leaf_occ(X0,X2)
& leaf_occ(X1,X2) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
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/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(f35,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(f36,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(f39,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(f43,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
fof(f44,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).
fof(f46,axiom,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> root_occ(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
fof(f47,axiom,
! [X0,X1] :
( ( occurrence_of(X1,tptp0)
& subactivity_occurrence(X0,X1)
& arboreal(X0)
& ~ leaf_occ(X0,X1) )
=> ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).
fof(f48,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f49,negated_conjecture,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f50,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f49]) ).
fof(f54,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] : occurrence_of(X0,X1) ),
inference(pure_predicate_removal,[],[f13]) ).
fof(f55,plain,
! [X0,X1] :
( occurrence_of(X1,X0)
=> activity_occurrence(X1) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f63,plain,
! [X0,X1] :
( activity_occurrence(X1)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f67,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(f68,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,X1)
& leaf_occ(X0,X2) )
| ~ leaf(X0,X1)
| atomic(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f69,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,X1)
& leaf_occ(X0,X2) )
| ~ leaf(X0,X1)
| atomic(X1) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f71,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(flattening,[],[f74]) ).
fof(f77,plain,
! [X0] :
( ? [X1] : occurrence_of(X0,X1)
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f80,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f81,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f88,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(f91,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(flattening,[],[f91]) ).
fof(f99,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(f100,plain,
! [X0,X1] :
( root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f101,plain,
! [X0,X1] :
( root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,tptp1)
& next_subocc(X0,X2,tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f102]) ).
fof(f108,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X2,sK2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| subactivity_occurrence(X1,sK2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK2(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f114,plain,
! [X0,X1] :
( atomic(X1)
| ~ leaf(X0,X1)
| leaf_occ(X0,sK3(X0,X1)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f115,plain,
! [X0,X1] :
( atomic(X1)
| ~ leaf(X0,X1)
| occurrence_of(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f117,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X1,X3,X2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f118,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ min_precedes(X3,X1,X2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f121,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f125,plain,
! [X2,X0,X1] :
( min_precedes(X0,sK6(X0,X1),X1)
| ~ min_precedes(X2,X0,X1)
| leaf(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f129,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f137,plain,
! [X0,X1] :
( subactivity_occurrence(X0,X1)
| ~ root_occ(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f153,plain,
! [X2,X0,X1] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X2)
| ~ leaf_occ(X0,X2)
| atomic(X3)
| ~ occurrence_of(X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f92]) ).
fof(f159,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK13(X0),tptp2)
| occurrence_of(sK13(X0),tptp3) ),
inference(cnf_transformation,[],[f99]) ).
fof(f160,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK12(X0),sK13(X0),tptp0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f161,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK13(X0),X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f162,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK12(X0),X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f163,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK12(X0),tptp4) ),
inference(cnf_transformation,[],[f99]) ).
fof(f164,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f35]) ).
fof(f165,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f36]) ).
fof(f168,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f39]) ).
fof(f172,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f173,plain,
tptp2 != tptp1,
inference(cnf_transformation,[],[f44]) ).
fof(f175,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| root_occ(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f176,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| next_subocc(X0,sK14(X0),tptp0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f177,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK14(X0),tptp1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f178,plain,
occurrence_of(sK15,tptp0),
inference(cnf_transformation,[],[f50]) ).
fof(f183,plain,
! [X0,X1] :
( occurrence_of(X1,X0)
| ~ activity_occurrence(X1) ),
inference(consistent_polarity_flipping,[],[f108]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| ~ occurrence_of(sK2(X0,X1,X2),X0) ),
inference(consistent_polarity_flipping,[],[f113]) ).
fof(f187,plain,
! [X0,X1] :
( ~ occurrence_of(sK3(X0,X1),X1)
| leaf(X0,X1)
| atomic(X1) ),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f188,plain,
! [X0,X1] :
( leaf_occ(X0,sK3(X0,X1))
| leaf(X0,X1)
| atomic(X1) ),
inference(consistent_polarity_flipping,[],[f114]) ).
fof(f189,plain,
! [X2,X0,X1] :
( occurrence_of(X0,X2)
| occurrence_of(X0,X1)
| X1 = X2 ),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f190,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X1,X2)
| occurrence_of(X0,X2)
| root_occ(X1,X0) ),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f194,plain,
! [X0] :
( ~ occurrence_of(X0,sK4(X0))
| activity_occurrence(X0) ),
inference(consistent_polarity_flipping,[],[f121]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ leaf(X0,X1)
| ~ min_precedes(X2,X0,X1)
| min_precedes(X0,sK6(X0,X1),X1) ),
inference(consistent_polarity_flipping,[],[f125]) ).
fof(f202,plain,
! [X0,X1] :
( occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(consistent_polarity_flipping,[],[f129]) ).
fof(f209,plain,
! [X0,X1] :
( root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(consistent_polarity_flipping,[],[f137]) ).
fof(f218,plain,
! [X2,X0,X1] :
( next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f153]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2)
| atomic(X3)
| occurrence_of(X2,X3)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f226,plain,
! [X0] :
( ~ occurrence_of(sK12(X0),tptp4)
| occurrence_of(X0,tptp0) ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f227,plain,
! [X0] :
( ~ root_occ(sK12(X0),X0)
| occurrence_of(X0,tptp0) ),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f228,plain,
! [X0] :
( leaf_occ(sK13(X0),X0)
| occurrence_of(X0,tptp0) ),
inference(consistent_polarity_flipping,[],[f161]) ).
fof(f229,plain,
! [X0] :
( ~ next_subocc(sK12(X0),sK13(X0),tptp0)
| occurrence_of(X0,tptp0) ),
inference(consistent_polarity_flipping,[],[f160]) ).
fof(f230,plain,
! [X0] :
( ~ occurrence_of(sK13(X0),tptp2)
| occurrence_of(X0,tptp0)
| ~ occurrence_of(sK13(X0),tptp3) ),
inference(consistent_polarity_flipping,[],[f159]) ).
fof(f231,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| ~ subactivity_occurrence(X0,X1)
| occurrence_of(X1,tptp0)
| ~ root_occ(X0,X1) ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f232,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| ~ subactivity_occurrence(X0,X1)
| occurrence_of(X1,tptp0)
| ~ occurrence_of(sK14(X0),tptp1) ),
inference(consistent_polarity_flipping,[],[f177]) ).
fof(f233,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| ~ subactivity_occurrence(X0,X1)
| occurrence_of(X1,tptp0)
| ~ next_subocc(X0,sK14(X0),tptp0) ),
inference(consistent_polarity_flipping,[],[f176]) ).
fof(f234,plain,
~ occurrence_of(sK15,tptp0),
inference(consistent_polarity_flipping,[],[f178]) ).
fof(f244,plain,
! [X0] :
( occurrence_of(X0,tptp0)
| ~ atomic(tptp4)
| arboreal(sK12(X0)) ),
inference(resolution,[],[f226,f202]) ).
fof(f246,plain,
! [X0] :
( arboreal(sK12(X0))
| occurrence_of(X0,tptp0) ),
inference(forward_subsumption_resolution,[],[f244,f165]) ).
fof(f247,plain,
! [X0] :
( subactivity_occurrence(sK12(X0),X0)
| occurrence_of(X0,tptp0) ),
inference(resolution,[],[f227,f209]) ).
fof(f261,plain,
! [X0,X1] :
( occurrence_of(X0,X1)
| sK4(X0) = X1
| activity_occurrence(X0) ),
inference(resolution,[],[f189,f194]) ).
fof(f266,plain,
! [X0,X1] :
( occurrence_of(X0,X1)
| sK4(X0) = X1 ),
inference(forward_subsumption_resolution,[],[f261,f183]) ).
fof(f271,plain,
! [X0] :
( min_precedes(sK12(X0),sK13(X0),tptp0)
| occurrence_of(X0,tptp0) ),
inference(resolution,[],[f229,f218]) ).
fof(f304,definition,
( spl16_3
<=> root_occ(sK12(sK15),sK15) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f305,plain,
( ~ root_occ(sK12(sK15),sK15)
| spl16_3 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f306,plain,
( root_occ(sK12(sK15),sK15)
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f334,plain,
! [X2,X0,X1] :
( ~ leaf_occ(X0,X1)
| atomic(X2)
| occurrence_of(X1,X2)
| sK13(X1) = X0
| occurrence_of(X1,tptp0) ),
inference(resolution,[],[f223,f228]) ).
fof(f350,plain,
( occurrence_of(sK15,tptp0)
| ~ spl16_3 ),
inference(resolution,[],[f306,f227]) ).
fof(f351,plain,
( $false
| ~ spl16_3 ),
inference(forward_subsumption_resolution,[],[f350,f234]) ).
fof(f352,plain,
~ spl16_3,
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f363,definition,
( spl16_7
<=> occurrence_of(sK14(sK12(sK15)),tptp1) ),
introduced(definition,[new_symbols(definition,[spl16_7])],[avatar_definition]) ).
fof(f365,plain,
( ~ occurrence_of(sK14(sK12(sK15)),tptp1)
| spl16_7 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f371,definition,
( spl16_9
<=> next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl16_9])],[avatar_definition]) ).
fof(f372,plain,
( next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0)
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f373,plain,
( ~ next_subocc(sK12(sK15),sK14(sK12(sK15)),tptp0)
| spl16_9 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f378,plain,
! [X0,X1] :
( occurrence_of(X0,tptp0)
| leaf_occ(sK12(X0),X1)
| ~ subactivity_occurrence(sK12(X0),X1)
| occurrence_of(X1,tptp0)
| ~ next_subocc(sK12(X0),sK14(sK12(X0)),tptp0) ),
inference(resolution,[],[f246,f233]) ).
fof(f379,plain,
! [X0,X1] :
( occurrence_of(X0,tptp0)
| leaf_occ(sK12(X0),X1)
| ~ subactivity_occurrence(sK12(X0),X1)
| occurrence_of(X1,tptp0)
| ~ occurrence_of(sK14(sK12(X0)),tptp1) ),
inference(resolution,[],[f246,f232]) ).
fof(f407,plain,
! [X0] :
( ~ occurrence_of(sK13(X0),tptp3)
| occurrence_of(X0,tptp0)
| tptp2 = sK4(sK13(X0)) ),
inference(resolution,[],[f266,f230]) ).
fof(f413,plain,
( subactivity_occurrence(sK12(sK15),sK15)
| spl16_3 ),
inference(resolution,[],[f305,f209]) ).
fof(f458,plain,
! [X0] :
( subactivity_occurrence(sK12(X0),sK2(tptp0,sK12(X0),sK13(X0)))
| occurrence_of(X0,tptp0) ),
inference(resolution,[],[f271,f112]) ).
fof(f462,plain,
! [X0] :
( ~ occurrence_of(sK2(tptp0,sK12(X0),sK13(X0)),tptp0)
| occurrence_of(X0,tptp0) ),
inference(resolution,[],[f271,f186]) ).
fof(f463,plain,
! [X0,X1] :
( ~ leaf_occ(sK12(X0),X1)
| occurrence_of(X1,tptp0)
| occurrence_of(X0,tptp0) ),
inference(resolution,[],[f271,f190]) ).
fof(f569,plain,
( tptp1 = sK4(sK14(sK12(sK15)))
| spl16_7 ),
inference(resolution,[],[f365,f266]) ).
fof(f618,plain,
! [X2,X0,X1] :
( occurrence_of(sK3(X1,X2),X0)
| occurrence_of(sK3(X1,X2),tptp0)
| sK13(sK3(X1,X2)) = X1
| atomic(X0)
| leaf(X1,X2)
| atomic(X2) ),
inference(resolution,[],[f334,f188]) ).
fof(f1294,plain,
! [X0,X1] :
( ~ subactivity_occurrence(sK12(X0),X1)
| occurrence_of(X0,tptp0)
| occurrence_of(X1,tptp0)
| ~ occurrence_of(sK14(sK12(X0)),tptp1) ),
inference(forward_subsumption_resolution,[],[f379,f463]) ).
fof(f1295,plain,
! [X0] :
( occurrence_of(X0,tptp0)
| occurrence_of(X0,tptp0)
| ~ occurrence_of(sK14(sK12(X0)),tptp1)
| occurrence_of(X0,tptp0) ),
inference(resolution,[],[f1294,f247]) ).
fof(f1298,plain,
( occurrence_of(sK15,tptp0)
| occurrence_of(sK15,tptp0)
| ~ occurrence_of(sK14(sK12(sK15)),tptp1)
| spl16_3 ),
inference(resolution,[],[f1294,f413]) ).
fof(f1300,plain,
( occurrence_of(sK15,tptp0)
| ~ occurrence_of(sK14(sK12(sK15)),tptp1)
| spl16_3 ),
inference(duplicate_literal_removal,[],[f1298]) ).
fof(f1303,plain,
! [X0] :
( ~ occurrence_of(sK14(sK12(X0)),tptp1)
| occurrence_of(X0,tptp0) ),
inference(duplicate_literal_removal,[],[f1295]) ).
fof(f1304,plain,
( ~ occurrence_of(sK14(sK12(sK15)),tptp1)
| spl16_3 ),
inference(forward_subsumption_resolution,[],[f1300,f234]) ).
fof(f1310,plain,
( ~ spl16_7
| spl16_3 ),
inference(avatar_split_clause,[],[f1304,f304,f363]) ).
fof(f1359,plain,
! [X0,X1] :
( ~ next_subocc(sK12(X0),sK14(sK12(X0)),tptp0)
| ~ subactivity_occurrence(sK12(X0),X1)
| occurrence_of(X1,tptp0)
| occurrence_of(X0,tptp0) ),
inference(forward_subsumption_resolution,[],[f378,f463]) ).
fof(f1362,plain,
( min_precedes(sK12(sK15),sK14(sK12(sK15)),tptp0)
| spl16_9 ),
inference(resolution,[],[f373,f218]) ).
fof(f1365,plain,
! [X0,X1] :
( ~ subactivity_occurrence(sK12(X0),X1)
| occurrence_of(X1,tptp0)
| occurrence_of(X0,tptp0)
| min_precedes(sK12(X0),sK14(sK12(X0)),tptp0) ),
inference(resolution,[],[f1359,f218]) ).
fof(f1368,plain,
( subactivity_occurrence(sK14(sK12(sK15)),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| spl16_9 ),
inference(resolution,[],[f1362,f111]) ).
fof(f1395,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK12(sK15),X0)
| occurrence_of(X0,tptp0)
| occurrence_of(sK15,tptp0) )
| ~ spl16_9 ),
inference(resolution,[],[f372,f1359]) ).
fof(f1396,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK12(sK15),X0)
| occurrence_of(X0,tptp0) )
| ~ spl16_9 ),
inference(forward_subsumption_resolution,[],[f1395,f234]) ).
fof(f1412,plain,
( occurrence_of(sK2(tptp0,sK12(sK15),sK13(sK15)),tptp0)
| occurrence_of(sK15,tptp0)
| ~ spl16_9 ),
inference(resolution,[],[f1396,f458]) ).
fof(f1419,plain,
( occurrence_of(sK15,tptp0)
| ~ spl16_9 ),
inference(forward_subsumption_resolution,[],[f1412,f462]) ).
fof(f1423,plain,
( $false
| ~ spl16_9 ),
inference(forward_subsumption_resolution,[],[f1419,f234]) ).
fof(f1424,plain,
~ spl16_9,
inference(avatar_contradiction_clause,[],[f1423]) ).
fof(f1448,definition,
( spl16_55
<=> leaf(sK14(sK12(sK15)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl16_55])],[avatar_definition]) ).
fof(f1449,plain,
( ~ leaf(sK14(sK12(sK15)),tptp0)
| spl16_55 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1450,plain,
( leaf(sK14(sK12(sK15)),tptp0)
| ~ spl16_55 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1461,definition,
( spl16_57
<=> min_precedes(sK14(sK12(sK15)),sK6(sK14(sK12(sK15)),tptp0),tptp0) ),
introduced(definition,[new_symbols(definition,[spl16_57])],[avatar_definition]) ).
fof(f1463,plain,
( min_precedes(sK14(sK12(sK15)),sK6(sK14(sK12(sK15)),tptp0),tptp0)
| ~ spl16_57 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f1465,definition,
( spl16_58
<=> ! [X0] : ~ min_precedes(X0,sK14(sK12(sK15)),tptp0) ),
introduced(definition,[new_symbols(definition,[spl16_58])],[avatar_definition]) ).
fof(f1466,plain,
( ! [X0] : ~ min_precedes(X0,sK14(sK12(sK15)),tptp0)
| ~ spl16_58 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f1468,plain,
! [X0,X1] :
( occurrence_of(sK3(X0,X1),tptp0)
| sK13(sK3(X0,X1)) = X0
| atomic(X1)
| leaf(X0,X1)
| atomic(X1)
| leaf(X0,X1)
| atomic(X1) ),
inference(resolution,[],[f618,f187]) ).
fof(f1481,plain,
! [X0,X1] :
( occurrence_of(sK3(X0,X1),tptp0)
| sK13(sK3(X0,X1)) = X0
| atomic(X1)
| leaf(X0,X1) ),
inference(duplicate_literal_removal,[],[f1468]) ).
fof(f1715,plain,
! [X0,X1] :
( occurrence_of(sK14(sK12(X0)),X1)
| occurrence_of(X0,tptp0)
| tptp1 = X1 ),
inference(resolution,[],[f1303,f189]) ).
fof(f1717,plain,
! [X0] :
( occurrence_of(X0,tptp0)
| ~ atomic(tptp1)
| arboreal(sK14(sK12(X0))) ),
inference(resolution,[],[f1303,f202]) ).
fof(f1721,plain,
! [X0] :
( arboreal(sK14(sK12(X0)))
| occurrence_of(X0,tptp0) ),
inference(forward_subsumption_resolution,[],[f1717,f168]) ).
fof(f2848,plain,
! [X0] :
( occurrence_of(X0,tptp0)
| occurrence_of(X0,tptp0)
| min_precedes(sK12(X0),sK14(sK12(X0)),tptp0)
| occurrence_of(X0,tptp0) ),
inference(resolution,[],[f1365,f247]) ).
fof(f2857,plain,
! [X0] :
( min_precedes(sK12(X0),sK14(sK12(X0)),tptp0)
| occurrence_of(X0,tptp0) ),
inference(duplicate_literal_removal,[],[f2848]) ).
fof(f4595,definition,
( spl16_183
<=> occurrence_of(sK3(sK14(sK12(sK15)),tptp0),tptp0) ),
introduced(definition,[new_symbols(definition,[spl16_183])],[avatar_definition]) ).
fof(f4596,plain,
( occurrence_of(sK3(sK14(sK12(sK15)),tptp0),tptp0)
| ~ spl16_183 ),
inference(avatar_component_clause,[],[f4595]) ).
fof(f4597,plain,
( ~ occurrence_of(sK3(sK14(sK12(sK15)),tptp0),tptp0)
| spl16_183 ),
inference(avatar_component_clause,[],[f4595]) ).
fof(f4624,plain,
( sK14(sK12(sK15)) = sK13(sK3(sK14(sK12(sK15)),tptp0))
| atomic(tptp0)
| leaf(sK14(sK12(sK15)),tptp0)
| spl16_183 ),
inference(resolution,[],[f4597,f1481]) ).
fof(f4672,plain,
( sK14(sK12(sK15)) = sK13(sK3(sK14(sK12(sK15)),tptp0))
| leaf(sK14(sK12(sK15)),tptp0)
| spl16_183 ),
inference(forward_subsumption_resolution,[],[f4624,f164]) ).
fof(f4678,plain,
( sK14(sK12(sK15)) = sK13(sK3(sK14(sK12(sK15)),tptp0))
| spl16_55
| spl16_183 ),
inference(forward_subsumption_resolution,[],[f4672,f1449]) ).
fof(f6184,plain,
! [X0,X1] :
( occurrence_of(X0,tptp0)
| leaf_occ(sK14(sK12(X0)),X1)
| ~ subactivity_occurrence(sK14(sK12(X0)),X1)
| occurrence_of(X1,tptp0)
| ~ root_occ(sK14(sK12(X0)),X1) ),
inference(resolution,[],[f1721,f231]) ).
fof(f6292,plain,
! [X0] :
( ~ occurrence_of(sK2(tptp0,sK12(X0),sK14(sK12(X0))),tptp0)
| occurrence_of(X0,tptp0) ),
inference(resolution,[],[f2857,f186]) ).
fof(f6294,plain,
! [X0,X1] :
( root_occ(sK14(sK12(X0)),X1)
| occurrence_of(X1,tptp0)
| occurrence_of(X0,tptp0) ),
inference(resolution,[],[f2857,f191]) ).
fof(f15033,plain,
( leaf(sK14(sK12(sK15)),tptp0)
| atomic(tptp0)
| ~ spl16_183 ),
inference(resolution,[],[f4596,f187]) ).
fof(f15921,plain,
( ! [X0] :
( ~ leaf_occ(sK14(sK12(sK15)),X0)
| occurrence_of(X0,tptp0) )
| ~ spl16_57 ),
inference(resolution,[],[f1463,f190]) ).
fof(f16123,plain,
( occurrence_of(sK15,tptp0)
| ~ spl16_58 ),
inference(resolution,[],[f1466,f2857]) ).
fof(f16129,plain,
( $false
| ~ spl16_58 ),
inference(forward_subsumption_resolution,[],[f16123,f234]) ).
fof(f16130,plain,
~ spl16_58,
inference(avatar_contradiction_clause,[],[f16129]) ).
fof(f16138,plain,
( leaf(sK14(sK12(sK15)),tptp0)
| ~ spl16_183 ),
inference(forward_subsumption_resolution,[],[f15033,f164]) ).
fof(f16145,plain,
( spl16_55
| ~ spl16_183 ),
inference(avatar_split_clause,[],[f16138,f4595,f1448]) ).
fof(f16888,plain,
( ~ occurrence_of(sK14(sK12(sK15)),tptp3)
| occurrence_of(sK3(sK14(sK12(sK15)),tptp0),tptp0)
| tptp2 = sK4(sK14(sK12(sK15)))
| spl16_55
| spl16_183 ),
inference(superposition,[],[f407,f4678]) ).
fof(f17166,plain,
( ~ occurrence_of(sK14(sK12(sK15)),tptp3)
| tptp2 = sK4(sK14(sK12(sK15)))
| spl16_55
| spl16_183 ),
inference(forward_subsumption_resolution,[],[f16888,f4597]) ).
fof(f17299,plain,
( tptp2 = tptp1
| ~ occurrence_of(sK14(sK12(sK15)),tptp3)
| spl16_7
| spl16_55
| spl16_183 ),
inference(forward_demodulation,[],[f17166,f569]) ).
fof(f17301,definition,
( spl16_644
<=> occurrence_of(sK14(sK12(sK15)),tptp3) ),
introduced(definition,[new_symbols(definition,[spl16_644])],[avatar_definition]) ).
fof(f17303,plain,
( ~ occurrence_of(sK14(sK12(sK15)),tptp3)
| spl16_644 ),
inference(avatar_component_clause,[],[f17301]) ).
fof(f17319,plain,
( ~ occurrence_of(sK14(sK12(sK15)),tptp3)
| spl16_7
| spl16_55
| spl16_183 ),
inference(forward_subsumption_resolution,[],[f17299,f173]) ).
fof(f17325,plain,
( ~ spl16_644
| spl16_7
| spl16_55
| spl16_183 ),
inference(avatar_split_clause,[],[f17319,f4595,f1448,f363,f17301]) ).
fof(f17348,plain,
( ! [X0] :
( ~ min_precedes(X0,sK14(sK12(sK15)),tptp0)
| min_precedes(sK14(sK12(sK15)),sK6(sK14(sK12(sK15)),tptp0),tptp0) )
| ~ spl16_55 ),
inference(resolution,[],[f1450,f200]) ).
fof(f17350,plain,
( spl16_57
| spl16_58
| ~ spl16_55 ),
inference(avatar_split_clause,[],[f17348,f1448,f1465,f1461]) ).
fof(f49720,plain,
! [X0,X1] :
( ~ subactivity_occurrence(sK14(sK12(X0)),X1)
| leaf_occ(sK14(sK12(X0)),X1)
| occurrence_of(X0,tptp0)
| occurrence_of(X1,tptp0) ),
inference(forward_subsumption_resolution,[],[f6184,f6294]) ).
fof(f49721,plain,
( leaf_occ(sK14(sK12(sK15)),sK2(tptp0,sK12(sK15),sK14(sK12(sK15))))
| occurrence_of(sK15,tptp0)
| occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0)
| spl16_9 ),
inference(resolution,[],[f49720,f1368]) ).
fof(f49743,plain,
( occurrence_of(sK15,tptp0)
| occurrence_of(sK2(tptp0,sK12(sK15),sK14(sK12(sK15))),tptp0)
| spl16_9
| ~ spl16_57 ),
inference(forward_subsumption_resolution,[],[f49721,f15921]) ).
fof(f49747,plain,
( occurrence_of(sK15,tptp0)
| spl16_9
| ~ spl16_57 ),
inference(forward_subsumption_resolution,[],[f49743,f6292]) ).
fof(f49748,plain,
( $false
| spl16_9
| ~ spl16_57 ),
inference(forward_subsumption_resolution,[],[f49747,f234]) ).
fof(f49749,plain,
( spl16_9
| ~ spl16_57 ),
inference(avatar_contradiction_clause,[],[f49748]) ).
fof(f50000,plain,
( occurrence_of(sK15,tptp0)
| tptp3 = tptp1
| spl16_644 ),
inference(resolution,[],[f17303,f1715]) ).
fof(f50026,plain,
( tptp3 = tptp1
| spl16_644 ),
inference(forward_subsumption_resolution,[],[f50000,f234]) ).
fof(f50029,plain,
( $false
| spl16_644 ),
inference(forward_subsumption_resolution,[],[f50026,f172]) ).
fof(f50030,plain,
spl16_644,
inference(avatar_contradiction_clause,[],[f50029]) ).
cnf(s4,plain,
~ spl16_3,
inference(sat_conversion,[],[f352]) ).
cnf(s55,plain,
( spl16_3
| ~ spl16_7 ),
inference(sat_conversion,[],[f1310]) ).
cnf(s63,plain,
~ spl16_9,
inference(sat_conversion,[],[f1424]) ).
cnf(s750,plain,
~ spl16_58,
inference(sat_conversion,[],[f16130]) ).
cnf(s759,plain,
( spl16_55
| ~ spl16_183 ),
inference(sat_conversion,[],[f16145]) ).
cnf(s869,plain,
( spl16_7
| spl16_55
| spl16_183
| ~ spl16_644 ),
inference(sat_conversion,[],[f17325]) ).
cnf(s888,plain,
( ~ spl16_55
| spl16_57
| spl16_58 ),
inference(sat_conversion,[],[f17350]) ).
cnf(s2069,plain,
( spl16_9
| ~ spl16_57 ),
inference(sat_conversion,[],[f49749]) ).
cnf(s2188,plain,
spl16_644,
inference(sat_conversion,[],[f50030]) ).
cnf(s2195,plain,
( spl16_7
| spl16_55
| spl16_183 ),
inference(rat,[],[s869,s2188]) ).
cnf(s2228,plain,
~ spl16_57,
inference(rat,[],[s2069,s63]) ).
cnf(s2242,plain,
~ spl16_55,
inference(rat,[],[s888,s750,s2228]) ).
cnf(s2255,plain,
~ spl16_183,
inference(rat,[],[s759,s2242]) ).
cnf(s2273,plain,
spl16_7,
inference(rat,[],[s2195,s2242,s2255]) ).
cnf(s2286,plain,
spl16_3,
inference(rat,[],[s55,s2273]) ).
cnf(s2455,plain,
$false,
inference(rat,[],[s4,s2286]) ).
fof(f50031,plain,
$false,
inference(avatar_sat_refutation,[],[s2455]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO005+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n002.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 22:19:52 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.96/2.78 % (3947732)Will run a generic schedule for satisfiability detection.
% 15.96/2.78 % (3947740)dis+10_1_sil=32000:sp=arity:random_seed=3218581427:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.96/2.78 % (3947738)% WARNING: option uhcvi not known.
% 15.96/2.78 % (3947737)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3890020143_2999 on theBenchmark for (2999ds/0Mi)
% 15.96/2.78 % (3947738)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=769452303:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.96/2.78 % (3947739)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4022224719:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.96/2.78 % (3947741)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1865740231:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.96/2.78 % (3947742)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3626869917:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.96/2.78 % (3947743)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=604243157:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.96/2.78 % Detected minimum model sizes of [4]
% 15.96/2.78 % Detected maximum model sizes of [max]
% 15.96/2.78 % TRYING [4]
% 15.96/2.78 % TRYING [5]
% 15.96/2.78 % (3947740)Instruction limit reached!
% 15.96/2.78 % (3947740)------------------------------
% 15.96/2.78 % (3947740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/2.78 % (3947740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/2.78 % (3947740)CaDiCaL version: 2.1.3
% 15.96/2.78 % (3947740)Termination reason: Instruction limit
% 15.96/2.78 % (3947740)Termination phase: Saturation
% 15.96/2.78 % (3947740)Time elapsed: 0.040 s
% 15.96/2.78 % (3947740)Peak memory usage: 12 MB
% 15.96/2.78 % (3947740)Instructions burned: 105 (million)
% 15.96/2.78 % TRYING [6]
% 15.96/2.78 % (3947751)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1145007127:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.96/2.78 % Detected minimum model sizes of [4]
% 15.96/2.78 % Detected maximum model sizes of [max]
% 15.96/2.78 % TRYING [4]
% 15.96/2.78 % TRYING [5]
% 15.96/2.78 % TRYING [6]
% 15.96/2.78 % (3947741)Instruction limit reached!
% 15.96/2.78 % (3947741)------------------------------
% 15.96/2.78 % (3947741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/2.78 % (3947741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/2.78 % (3947741)CaDiCaL version: 2.1.3
% 15.96/2.78 % (3947741)Termination reason: Instruction limit
% 15.96/2.78 % (3947741)Termination phase: Saturation
% 15.96/2.78 % (3947741)Time elapsed: 0.073 s
% 15.96/2.78 % (3947741)Peak memory usage: 12 MB
% 15.96/2.78 % (3947741)Instructions burned: 116 (million)
% 15.96/2.78 % (3947742)Instruction limit reached!
% 15.96/2.78 % (3947742)------------------------------
% 15.96/2.78 % (3947742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/2.78 % (3947742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/2.78 % (3947742)CaDiCaL version: 2.1.3
% 15.96/2.78 % (3947742)Termination reason: Instruction limit
% 15.96/2.78 % (3947742)Termination phase: Saturation
% 15.96/2.78 % (3947742)Time elapsed: 0.088 s
% 15.96/2.78 % (3947742)Peak memory usage: 13 MB
% 15.96/2.78 % (3947742)Instructions burned: 131 (million)
% 15.96/2.78 % TRYING [7]
% 15.96/2.78 % TRYING [7]
% 15.96/2.78 % (3947753)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2580953016:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.96/2.78 % (3947754)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=1689266804:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.96/2.78 % (3947743)Instruction limit reached!
% 15.96/2.78 % (3947743)------------------------------
% 15.96/2.78 % (3947743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/2.78 % (3947743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/2.78 % (3947743)CaDiCaL version: 2.1.3
% 15.96/2.78 % (3947743)Termination reason: Instruction limit
% 15.96/2.78 % (3947743)Termination phase: Saturation
% 15.96/2.78 % (3947743)Time elapsed: 0.115 s
% 15.96/2.78 % (3947743)Peak memory usage: 14 MB
% 15.96/2.78 % (3947743)Instructions burned: 160 (million)
% 15.96/2.78 % (3947757)ott-21_1_sil=16000:fs=off:random_seed=355077808:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.96/2.78 % TRYING [8]
% 15.96/2.78 % (3947753)Instruction limit reached!
% 7.81/3.06 % (3947753)------------------------------
% 7.81/3.06 % (3947753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3947753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3947753)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3947753)Termination reason: Instruction limit
% 7.81/3.06 % (3947753)Termination phase: Saturation
% 7.81/3.06 % (3947753)Time elapsed: 0.089 s
% 7.81/3.06 % (3947753)Peak memory usage: 13 MB
% 7.81/3.06 % (3947753)Instructions burned: 132 (million)
% 7.81/3.06 % (3947759)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=398503312:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.81/3.06 % (3947751)Instruction limit reached!
% 7.81/3.06 % (3947751)------------------------------
% 7.81/3.06 % (3947751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3947751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3947751)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3947751)Termination reason: Instruction limit
% 7.81/3.06 % (3947751)Termination phase: Finite model building constraint generation
% 7.81/3.06 % (3947751)Time elapsed: 0.162 s
% 7.81/3.06 % (3947751)Peak memory usage: 26 MB
% 7.81/3.06 % (3947751)Instructions burned: 717 (million)
% 7.81/3.06 % (3947761)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=168800033:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.81/3.06 % Detected minimum model sizes of [4]
% 7.81/3.06 % Detected maximum model sizes of [max]
% 7.81/3.06 % TRYING [4]
% 7.81/3.06 % TRYING [5]
% 7.81/3.06 % (3947757)Instruction limit reached!
% 7.81/3.06 % (3947757)------------------------------
% 7.81/3.06 % (3947757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3947757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3947757)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3947757)Termination reason: Instruction limit
% 7.81/3.06 % (3947757)Termination phase: Saturation
% 7.81/3.06 % (3947757)Time elapsed: 0.097 s
% 7.81/3.06 % (3947757)Peak memory usage: 12 MB
% 7.81/3.06 % (3947757)Instructions burned: 180 (million)
% 7.81/3.06 % TRYING [8]
% 7.81/3.06 % (3947763)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2916186133:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.81/3.06 % TRYING [6]
% 7.81/3.06 % TRYING [7]
% 7.81/3.06 % (3947761)Instruction limit reached!
% 7.81/3.06 % (3947761)------------------------------
% 7.81/3.06 % (3947761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3947761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3947761)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3947761)Termination reason: Instruction limit
% 7.81/3.06 % (3947761)Termination phase: Finite model building SAT solving
% 7.81/3.06 % (3947761)Time elapsed: 0.175 s
% 7.81/3.06 % (3947761)Peak memory usage: 20 MB
% 7.81/3.06 % (3947761)Instructions burned: 868 (million)
% 7.81/3.06 % (3947765)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=306491775:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.81/3.06 % TRYING [14]
% 7.81/3.06 % (3947754)Instruction limit reached!
% 7.81/3.06 % (3947754)------------------------------
% 7.81/3.06 % (3947754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3947754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3947754)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3947754)Termination reason: Instruction limit
% 7.81/3.06 % (3947754)Termination phase: Saturation
% 7.81/3.06 % (3947754)Time elapsed: 0.409 s
% 7.81/3.06 % (3947754)Peak memory usage: 20 MB
% 7.81/3.06 % (3947754)Instructions burned: 686 (million)
% 7.81/3.06 % TRYING [9]
% 7.81/3.06 % (3947759)Instruction limit reached!
% 7.81/3.06 % (3947759)------------------------------
% 7.81/3.06 % (3947759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3947759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3947759)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3947759)Termination reason: Instruction limit
% 7.81/3.06 % (3947759)Termination phase: Saturation
% 7.81/3.06 % (3947759)Time elapsed: 0.337 s
% 7.81/3.06 % (3947759)Peak memory usage: 14 MB
% 7.81/3.06 % (3947759)Instructions burned: 478 (million)
% 7.81/3.06 % (3947767)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=918100185: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)
% 7.81/3.06 % (3947769)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3971577782:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.81/3.06 % (3947765)Instruction limit reached!
% 7.81/3.06 % (3947765)------------------------------
% 7.81/3.06 % (3947765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3947765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3947765)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3947765)Termination reason: Instruction limit
% 7.81/3.06 % (3947765)Termination phase: Finite model building constraint generation
% 7.81/3.06 % (3947765)Time elapsed: 0.190 s
% 7.81/3.06 % (3947765)Peak memory usage: 76 MB
% 7.81/3.06 % (3947765)Instructions burned: 892 (million)
% 7.81/3.06 % (3947771)fmb+10_1_sil=64000:random_seed=2957453774:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.81/3.06 % Detected minimum model sizes of [4]
% 7.81/3.06 % Detected maximum model sizes of [max]
% 7.81/3.06 % TRYING [4]
% 7.81/3.06 % TRYING [5]
% 7.81/3.06 % TRYING [6]
% 7.81/3.06 % TRYING [7]
% 7.81/3.06 % TRYING [8]
% 7.81/3.06 % (3947763)Instruction limit reached!
% 7.81/3.06 % (3947763)------------------------------
% 7.81/3.06 % (3947763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3947763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3947763)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3947763)Termination reason: Instruction limit
% 7.81/3.06 % (3947763)Termination phase: Saturation
% 7.81/3.06 % (3947763)Time elapsed: 0.678 s
% 7.81/3.06 % (3947763)Peak memory usage: 24 MB
% 7.81/3.06 % (3947763)Instructions burned: 1179 (million)
% 7.81/3.06 % (3947767)Instruction limit reached!
% 7.81/3.06 % (3947767)------------------------------
% 7.81/3.06 % (3947767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3947767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3947767)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3947767)Termination reason: Instruction limit
% 7.81/3.06 % (3947767)Termination phase: Saturation
% 7.81/3.06 % (3947767)Time elapsed: 0.401 s
% 7.81/3.06 % (3947767)Peak memory usage: 17 MB
% 7.81/3.06 % (3947767)Instructions burned: 693 (million)
% 7.81/3.06 % (3947773)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=439062296:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.81/3.06 % Detected minimum model sizes of [4]
% 7.81/3.06 % Detected maximum model sizes of [max]
% 7.81/3.06 % TRYING [20]
% 7.81/3.06 % (3947774)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2502385920:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.81/3.06 % Detected minimum model sizes of [4]
% 7.81/3.06 % Detected maximum model sizes of [max]
% 7.81/3.06 % TRYING [8]
% 7.81/3.06 % TRYING [10]
% 7.81/3.06 % (3947769)Instruction limit reached!
% 7.81/3.06 % (3947769)------------------------------
% 7.81/3.06 % (3947769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3947769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3947769)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3947769)Termination reason: Instruction limit
% 7.81/3.06 % (3947769)Termination phase: Saturation
% 7.81/3.06 % (3947769)Time elapsed: 0.507 s
% 7.81/3.06 % (3947769)Peak memory usage: 18 MB
% 7.81/3.06 % (3947769)Instructions burned: 879 (million)
% 7.81/3.06 % (3947777)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1817173508:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 7.81/3.06 % TRYING [9]
% 7.81/3.06 % TRYING [9]
% 7.81/3.06 % (3947774)Instruction limit reached!
% 7.81/3.06 % (3947774)------------------------------
% 7.81/3.06 % (3947774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3947774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3947774)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3947774)Termination reason: Instruction limit
% 7.81/3.06 % (3947774)Termination phase: Finite model building constraint generation
% 7.81/3.06 % (3947774)Time elapsed: 0.437 s
% 7.81/3.06 % (3947774)Peak memory usage: 38 MB
% 7.81/3.06 % (3947774)Instructions burned: 922 (million)
% 7.81/3.06 % (3947779)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1491442925:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 7.81/3.06 % TRYING [10]
% 7.81/3.06 % TRYING [11]
% 7.81/3.06 % (3947779)Instruction limit reached!
% 7.81/3.06 % (3947779)------------------------------
% 7.81/3.06 % (3947779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3947779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3947779)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3947779)Termination reason: Instruction limit
% 7.81/3.06 % (3947779)Termination phase: Saturation
% 7.81/3.06 % (3947779)Time elapsed: 0.871 s
% 7.81/3.06 % (3947779)Peak memory usage: 26 MB
% 7.81/3.06 % (3947779)Instructions burned: 1473 (million)
% 7.81/3.06 % (3947781)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1968100274:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 7.81/3.06 % Detected minimum model sizes of [4]
% 7.81/3.06 % Detected maximum model sizes of [max]
% 7.81/3.06 % TRYING [77]
% 7.81/3.06 % TRYING [11]
% 7.81/3.06 % (3947738) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3947732-3947738"...
% 7.81/3.06 % (3947738)...printing done.
% 7.81/3.06 % (3947738)Refutation found. Thanks to Tanya!
% 7.81/3.06 % SZS status Theorem for theBenchmark
% 7.81/3.06 % SZS output start Proof for theBenchmark
% See solution above
% 7.81/3.06 % (3947738)------------------------------
% 7.81/3.06 % (3947738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3947738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3947738)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3947738)Termination reason: Refutation
% 7.81/3.06 % (3947738)Time elapsed: 2.518 s
% 7.81/3.06 % (3947738)Peak memory usage: 30 MB
% 7.81/3.06 % (3947738)Instructions burned: 4201 (million)
% 7.81/3.06 % (3947732)Success in time 2.622 s
% 7.81/3.06 % Vampire exiting
%------------------------------------------------------------------------------