%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PRO005+3 : 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 : n019.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 40.37s 13.81s
% Output : Refutation 40.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 31
% Syntax : Number of formulae : 204 ( 46 unt; 3 def)
% Number of atoms : 620 ( 23 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 702 ( 286 ~; 281 |; 105 &)
% ( 11 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 4 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 336 ( 0 sgn 295 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity(X0)
& activity_occurrence(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f2,axiom,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( occurrence_of(X0,X1)
& occurrence_of(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f8,axiom,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f9,axiom,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f15,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(f17,axiom,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(f23,axiom,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( min_precedes(X0,X1,X2)
& ~ ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(f26,axiom,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( occurrence_of(X3,X0)
& subactivity_occurrence(X1,X3)
& subactivity_occurrence(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(f28,axiom,
! [X0,X1] :
( ( occurrence_of(X1,X0)
& ~ atomic(X0) )
=> ? [X2] :
( root(X2,X0)
& subactivity_occurrence(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
fof(f30,axiom,
! [X0,X1,X2,X3] :
( ( min_precedes(X0,X1,X2)
& occurrence_of(X3,X2)
& subactivity_occurrence(X1,X3) )
=> subactivity_occurrence(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(f34,axiom,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
fof(f35,axiom,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(f36,axiom,
! [X0,X1,X2,X3] :
( ( occurrence_of(X2,X3)
& root_occ(X0,X2)
& root_occ(X1,X2) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(f37,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_36) ).
fof(f38,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_37) ).
fof(f39,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_38) ).
fof(f46,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_45) ).
fof(f47,axiom,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> arboreal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).
fof(f50,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_49) ).
fof(f52,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
fof(f56,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_55) ).
fof(f60,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).
fof(f61,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_60) ).
fof(f63,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_62) ).
fof(f64,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_63) ).
fof(f65,conjecture,
~ ? [X0] : occurrence_of(X0,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f66,negated_conjecture,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f67,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ( activity(X0)
& activity_occurrence(X1) )
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f69,plain,
! [X0] :
( ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) )
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f70,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f71,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f70]) ).
fof(f78,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f79,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f87,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f95,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f96,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,[],[f23]) ).
fof(f98,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(f101,plain,
! [X0,X1] :
( ? [X2] :
( root(X2,X0)
& subactivity_occurrence(X2,X1) )
| ~ occurrence_of(X1,X0)
| atomic(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X2] :
( root(X2,X0)
& subactivity_occurrence(X2,X1) )
| ~ occurrence_of(X1,X0)
| atomic(X0) ),
inference(flattening,[],[f101]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ min_precedes(X0,X1,X2)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(ennf_transformation,[],[f30]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ min_precedes(X0,X1,X2)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(flattening,[],[f105]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| ~ root_occ(X1,X2) ),
inference(ennf_transformation,[],[f36]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| ~ root_occ(X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| ~ leaf_occ(X1,X2) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(flattening,[],[f119]) ).
fof(f132,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,X1)
& leaf_occ(X0,X2) )
| ~ leaf(X0,X1)
| atomic(X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f133,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X2,X1)
& leaf_occ(X0,X2) )
| ~ leaf(X0,X1)
| atomic(X1) ),
inference(flattening,[],[f132]) ).
fof(f134,plain,
! [X0,X1,X2] :
( arboreal(X0)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f139,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,[],[f50]) ).
fof(f140,plain,
! [X0,X1] :
( root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f141,plain,
! [X0,X1] :
( root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(flattening,[],[f140]) ).
fof(f142,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,[],[f64]) ).
fof(f143,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,[],[f142]) ).
fof(f144,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))],[f69]) ).
fof(f145,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f78]) ).
fof(f151,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) )
| ~ leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f95]) ).
fof(f152,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X2] : min_precedes(X2,X0,X1) )
& ! [X3] : ~ min_precedes(X0,X3,X1) )
| ~ leaf(X0,X1) ) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( root(X0,X1)
| ? [X4] : min_precedes(X4,X0,X1) )
& ! [X5] : ~ min_precedes(X0,X5,X1) )
| ~ leaf(X0,X1) ) ),
inference(rectify,[],[f152]) ).
fof(f154,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ~ root(X0,X1)
& ! [X2] : ~ min_precedes(X2,X0,X1) )
| min_precedes(X0,sK5(X0,X1),X1) )
& ( ( ( root(X0,X1)
| min_precedes(sK6(X0,X1),X0,X1) )
& ! [X5] : ~ min_precedes(X0,X5,X1) )
| ~ leaf(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1))],[f153]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X3] :
( ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ? [X3] :
( min_precedes(X0,X3,X2)
& min_precedes(X3,X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X4] :
( ~ min_precedes(X0,X4,X2)
| ~ min_precedes(X4,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(rectify,[],[f156]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X1,X2)
| ( min_precedes(X0,sK7(X0,X1,X2),X2)
& min_precedes(sK7(X0,X1,X2),X1,X2) ) )
& ( ( min_precedes(X0,X1,X2)
& ! [X4] :
( ~ min_precedes(X0,X4,X2)
| ~ min_precedes(X4,X1,X2) ) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f157]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK9(X0,X1,X2),X0)
& subactivity_occurrence(X1,sK9(X0,X1,X2))
& subactivity_occurrence(X2,sK9(X0,X1,X2)) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1,X2))],[f98]) ).
fof(f164,plain,
! [X0,X1] :
( ( root(sK11(X0,X1),X0)
& subactivity_occurrence(sK11(X0,X1),X1) )
| ~ occurrence_of(X1,X0)
| atomic(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f102]) ).
fof(f166,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) )
| ~ root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f167,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ? [X3] :
( occurrence_of(X1,X3)
& subactivity_occurrence(X0,X1)
& root(X0,X3) )
| ~ root_occ(X0,X1) ) ),
inference(rectify,[],[f166]) ).
fof(f168,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ( occurrence_of(X1,sK13(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK13(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X3,sK13(X0,X1))],[f167]) ).
fof(f169,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& leaf(X0,X2) )
| ~ leaf_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f170,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ? [X3] :
( occurrence_of(X1,X3)
& subactivity_occurrence(X0,X1)
& leaf(X0,X3) )
| ~ leaf_occ(X0,X1) ) ),
inference(rectify,[],[f169]) ).
fof(f171,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ leaf(X0,X2) ) )
& ( ( occurrence_of(X1,sK14(X0,X1))
& subactivity_occurrence(X0,X1)
& leaf(X0,sK14(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X0,X1))],[f170]) ).
fof(f172,plain,
! [X0,X1] :
( ( occurrence_of(sK15(X0,X1),X1)
& leaf_occ(X0,sK15(X0,X1)) )
| ~ leaf(X0,X1)
| atomic(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X2,sK15(X0,X1))],[f133]) ).
fof(f173,plain,
! [X0] :
( ( occurrence_of(sK16(X0),tptp4)
& root_occ(sK16(X0),X0)
& ( occurrence_of(sK17(X0),tptp3)
| occurrence_of(sK17(X0),tptp2) )
& leaf_occ(sK17(X0),X0)
& next_subocc(sK16(X0),sK17(X0),tptp0) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X1,sK16(X0)),skolemize(X2,sK17(X0))],[f139]) ).
fof(f174,plain,
! [X0,X1] :
( ( occurrence_of(sK18(X0),tptp1)
& next_subocc(X0,sK18(X0),tptp0) )
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X0))],[f143]) ).
fof(f175,plain,
occurrence_of(sK19,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f67]) ).
fof(f176,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f178,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f185,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ arboreal(X0)
| atomic(X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f186,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f187,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f202,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f208,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| min_precedes(sK6(X0,X1),X0,X1)
| root(X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ min_precedes(X2,X0,X1)
| leaf(X0,X1)
| min_precedes(X0,sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f221,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X2,sK9(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| occurrence_of(sK9(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f226,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| subactivity_occurrence(sK11(X0,X1),X1)
| atomic(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f227,plain,
! [X0,X1] :
( root(sK11(X0,X1),X0)
| ~ occurrence_of(X1,X0)
| atomic(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| subactivity_occurrence(X0,X3)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3) ),
inference(cnf_transformation,[],[f106]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X0,X1)
| ~ root(X0,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f238,plain,
! [X0,X1] :
( leaf(X0,sK14(X0,X1))
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f239,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f240,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| occurrence_of(X1,sK14(X0,X1)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( ~ root_occ(X1,X2)
| ~ occurrence_of(X2,X3)
| ~ root_occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f114]) ).
fof(f243,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X1,X2)
| ~ occurrence_of(X2,X3)
| atomic(X3)
| ~ leaf_occ(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f116]) ).
fof(f244,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f245,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X1,X2)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f253,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| leaf_occ(X0,sK15(X0,X1))
| atomic(X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f254,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| occurrence_of(sK15(X0,X1),X1)
| atomic(X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f255,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| arboreal(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f258,plain,
! [X0] :
( next_subocc(sK16(X0),sK17(X0),tptp0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f259,plain,
! [X0] :
( leaf_occ(sK17(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f260,plain,
! [X0] :
( occurrence_of(sK17(X0),tptp2)
| occurrence_of(sK17(X0),tptp3)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f261,plain,
! [X0] :
( root_occ(sK16(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f264,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f52]) ).
fof(f268,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f56]) ).
fof(f272,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f60]) ).
fof(f273,plain,
tptp2 != tptp1,
inference(cnf_transformation,[],[f61]) ).
fof(f275,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| root_occ(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f276,plain,
! [X0,X1] :
( next_subocc(X0,sK18(X0),tptp0)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f277,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| occurrence_of(sK18(X0),tptp1)
| ~ arboreal(X0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f278,plain,
occurrence_of(sK19,tptp0),
inference(cnf_transformation,[],[f175]) ).
fof(f279,plain,
activity_occurrence(sK19),
inference(unit_resulting_resolution,[],[f176,f278]) ).
fof(f299,plain,
~ arboreal(sK19),
inference(unit_resulting_resolution,[],[f185,f264,f278]) ).
fof(f320,plain,
leaf_occ(sK17(sK19),sK19),
inference(unit_resulting_resolution,[],[f259,f278]) ).
fof(f322,plain,
subactivity_occurrence(sK17(sK19),sK19),
inference(unit_resulting_resolution,[],[f239,f320]) ).
fof(f362,plain,
root_occ(sK16(sK19),sK19),
inference(unit_resulting_resolution,[],[f261,f278]) ).
fof(f659,plain,
leaf(sK17(sK19),sK14(sK17(sK19),sK19)),
inference(unit_resulting_resolution,[],[f238,f320]) ).
fof(f758,plain,
occurrence_of(sK19,sK14(sK17(sK19),sK19)),
inference(unit_resulting_resolution,[],[f240,f320]) ).
fof(f761,plain,
~ atomic(sK14(sK17(sK19),sK19)),
inference(unit_resulting_resolution,[],[f186,f299,f758]) ).
fof(f874,plain,
tptp0 = sK14(sK17(sK19),sK19),
inference(unit_resulting_resolution,[],[f180,f758,f278]) ).
fof(f1652,plain,
next_subocc(sK16(sK19),sK17(sK19),tptp0),
inference(unit_resulting_resolution,[],[f258,f278]) ).
fof(f1679,plain,
min_precedes(sK16(sK19),sK17(sK19),tptp0),
inference(unit_resulting_resolution,[],[f212,f1652]) ).
fof(f1688,plain,
~ root(sK17(sK19),tptp0),
inference(unit_resulting_resolution,[],[f200,f1679]) ).
fof(f3786,plain,
subactivity_occurrence(sK11(tptp0,sK19),sK19),
inference(unit_resulting_resolution,[],[f226,f264,f278]) ).
fof(f3881,definition,
( spl20_13
<=> arboreal(sK11(tptp0,sK19)) ),
introduced(definition,[new_symbols(definition,[spl20_13])],[avatar_definition]) ).
fof(f3882,plain,
( ~ arboreal(sK11(tptp0,sK19))
| spl20_13 ),
inference(avatar_component_clause,[],[f3881]) ).
fof(f3883,plain,
( arboreal(sK11(tptp0,sK19))
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f3881]) ).
fof(f3944,plain,
( ~ legal(sK11(tptp0,sK19))
| spl20_13 ),
inference(unit_resulting_resolution,[],[f187,f3882]) ).
fof(f3984,plain,
( ! [X0] : ~ root(sK11(tptp0,sK19),X0)
| spl20_13 ),
inference(unit_resulting_resolution,[],[f202,f3944]) ).
fof(f4009,plain,
root(sK11(tptp0,sK19),tptp0),
inference(unit_resulting_resolution,[],[f227,f264,f278]) ).
fof(f4012,plain,
root(sK11(sK14(sK17(sK19),sK19),sK19),sK14(sK17(sK19),sK19)),
inference(unit_resulting_resolution,[],[f227,f761,f758]) ).
fof(f4030,plain,
root(sK11(tptp0,sK19),tptp0),
inference(forward_demodulation,[],[f4012,f874]) ).
fof(f4041,plain,
( $false
| spl20_13 ),
inference(forward_subsumption_resolution,[],[f4030,f3984]) ).
fof(f4042,plain,
spl20_13,
inference(avatar_contradiction_clause,[],[f4041]) ).
fof(f4281,plain,
~ leaf_occ(sK16(sK19),sK19),
inference(unit_resulting_resolution,[],[f244,f278,f1679]) ).
fof(f5959,plain,
( min_precedes(sK6(sK17(sK19),sK14(sK17(sK19),sK19)),sK17(sK19),sK14(sK17(sK19),sK19))
| root(sK17(sK19),sK14(sK17(sK19),sK19)) ),
inference(resolution,[],[f208,f659]) ).
fof(f5963,plain,
( min_precedes(sK6(sK17(sK19),tptp0),sK17(sK19),tptp0)
| root(sK17(sK19),sK14(sK17(sK19),sK19)) ),
inference(forward_demodulation,[],[f5959,f874]) ).
fof(f6104,plain,
( root(sK17(sK19),tptp0)
| min_precedes(sK6(sK17(sK19),tptp0),sK17(sK19),tptp0) ),
inference(forward_demodulation,[],[f5963,f874]) ).
fof(f6182,plain,
min_precedes(sK6(sK17(sK19),tptp0),sK17(sK19),tptp0),
inference(forward_subsumption_resolution,[],[f6104,f1688]) ).
fof(f6507,plain,
~ leaf_occ(sK6(sK17(sK19),tptp0),sK19),
inference(unit_resulting_resolution,[],[f244,f278,f6182]) ).
fof(f6516,plain,
arboreal(sK6(sK17(sK19),tptp0)),
inference(unit_resulting_resolution,[],[f255,f6182]) ).
fof(f6799,plain,
root_occ(sK11(tptp0,sK19),sK19),
inference(unit_resulting_resolution,[],[f237,f278,f4009,f3786]) ).
fof(f7366,plain,
sK16(sK19) = sK11(tptp0,sK19),
inference(unit_resulting_resolution,[],[f242,f278,f6799,f362]) ).
fof(f7375,plain,
! [X0,X1] :
( ~ occurrence_of(sK19,X0)
| ~ root_occ(X1,sK19)
| sK16(sK19) = X1 ),
inference(resolution,[],[f242,f362]) ).
fof(f7676,definition,
( spl20_17
<=> ! [X1] :
( ~ root_occ(X1,sK19)
| sK16(sK19) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl20_17])],[avatar_definition]) ).
fof(f7677,plain,
( ! [X1] :
( ~ root_occ(X1,sK19)
| sK16(sK19) = X1 )
| ~ spl20_17 ),
inference(avatar_component_clause,[],[f7676]) ).
fof(f7679,definition,
( spl20_18
<=> ! [X0] : ~ occurrence_of(sK19,X0) ),
introduced(definition,[new_symbols(definition,[spl20_18])],[avatar_definition]) ).
fof(f7680,plain,
( ! [X0] : ~ occurrence_of(sK19,X0)
| ~ spl20_18 ),
inference(avatar_component_clause,[],[f7679]) ).
fof(f7681,plain,
( spl20_17
| spl20_18 ),
inference(avatar_split_clause,[],[f7375,f7679,f7676]) ).
fof(f8400,plain,
subactivity_occurrence(sK6(sK17(sK19),tptp0),sK19),
inference(unit_resulting_resolution,[],[f229,f278,f322,f6182]) ).
fof(f9801,plain,
root_occ(sK6(sK17(sK19),tptp0),sK19),
inference(unit_resulting_resolution,[],[f275,f6516,f6507,f8400,f278]) ).
fof(f9871,plain,
( sK16(sK19) = sK6(sK17(sK19),tptp0)
| ~ spl20_17 ),
inference(unit_resulting_resolution,[],[f7677,f9801]) ).
fof(f13533,plain,
( ~ occurrence_of(sK19,tptp0)
| occurrence_of(sK18(sK11(tptp0,sK19)),tptp1)
| ~ arboreal(sK11(tptp0,sK19))
| leaf_occ(sK11(tptp0,sK19),sK19) ),
inference(resolution,[],[f277,f3786]) ).
fof(f13539,plain,
( occurrence_of(sK18(sK11(tptp0,sK19)),tptp1)
| ~ arboreal(sK11(tptp0,sK19))
| leaf_occ(sK11(tptp0,sK19),sK19) ),
inference(forward_subsumption_resolution,[],[f13533,f278]) ).
fof(f13565,plain,
( occurrence_of(sK18(sK11(tptp0,sK19)),tptp1)
| leaf_occ(sK11(tptp0,sK19),sK19)
| ~ spl20_13 ),
inference(forward_subsumption_resolution,[],[f13539,f3883]) ).
fof(f13581,plain,
( occurrence_of(sK18(sK16(sK19)),tptp1)
| leaf_occ(sK11(tptp0,sK19),sK19)
| ~ spl20_13 ),
inference(forward_demodulation,[],[f13565,f7366]) ).
fof(f13595,plain,
( leaf_occ(sK16(sK19),sK19)
| occurrence_of(sK18(sK16(sK19)),tptp1)
| ~ spl20_13 ),
inference(forward_demodulation,[],[f13581,f7366]) ).
fof(f13604,plain,
( occurrence_of(sK18(sK16(sK19)),tptp1)
| ~ spl20_13 ),
inference(forward_subsumption_resolution,[],[f13595,f4281]) ).
fof(f13611,plain,
( ~ occurrence_of(sK18(sK16(sK19)),tptp3)
| ~ spl20_13 ),
inference(unit_resulting_resolution,[],[f180,f272,f13604]) ).
fof(f13612,plain,
( ~ occurrence_of(sK18(sK16(sK19)),tptp2)
| ~ spl20_13 ),
inference(unit_resulting_resolution,[],[f180,f273,f13604]) ).
fof(f13618,plain,
( arboreal(sK18(sK16(sK19)))
| ~ spl20_13 ),
inference(unit_resulting_resolution,[],[f186,f268,f13604]) ).
fof(f14264,plain,
next_subocc(sK6(sK17(sK19),tptp0),sK18(sK6(sK17(sK19),tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f276,f6516,f6507,f8400,f278]) ).
fof(f14326,plain,
( next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0)
| ~ spl20_17 ),
inference(forward_demodulation,[],[f14264,f9871]) ).
fof(f14424,plain,
( min_precedes(sK16(sK19),sK18(sK16(sK19)),tptp0)
| ~ spl20_17 ),
inference(unit_resulting_resolution,[],[f212,f14326]) ).
fof(f14454,plain,
( subactivity_occurrence(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ spl20_17 ),
inference(unit_resulting_resolution,[],[f221,f14424]) ).
fof(f14456,plain,
( occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
| ~ spl20_17 ),
inference(unit_resulting_resolution,[],[f223,f14424]) ).
fof(f14501,plain,
( ! [X0] :
( ~ root_occ(sK18(sK16(sK19)),X0)
| ~ occurrence_of(X0,tptp0) )
| ~ spl20_17 ),
inference(resolution,[],[f14424,f245]) ).
fof(f20104,plain,
( ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
| root_occ(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ arboreal(sK18(sK16(sK19)))
| leaf_occ(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ spl20_17 ),
inference(resolution,[],[f14454,f275]) ).
fof(f20107,plain,
( ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
| ~ arboreal(sK18(sK16(sK19)))
| leaf_occ(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ spl20_17 ),
inference(forward_subsumption_resolution,[],[f20104,f14501]) ).
fof(f20111,plain,
( ~ arboreal(sK18(sK16(sK19)))
| leaf_occ(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ spl20_17 ),
inference(forward_subsumption_resolution,[],[f20107,f14456]) ).
fof(f20112,plain,
( leaf_occ(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
| ~ spl20_13
| ~ spl20_17 ),
inference(forward_subsumption_resolution,[],[f20111,f13618]) ).
fof(f20614,plain,
( ! [X0] : ~ min_precedes(sK18(sK16(sK19)),X0,tptp0)
| ~ spl20_13
| ~ spl20_17 ),
inference(unit_resulting_resolution,[],[f244,f14456,f20112]) ).
fof(f20638,plain,
( leaf(sK18(sK16(sK19)),tptp0)
| ~ spl20_13
| ~ spl20_17 ),
inference(unit_resulting_resolution,[],[f209,f14424,f20614]) ).
fof(f20671,plain,
( occurrence_of(sK15(sK18(sK16(sK19)),tptp0),tptp0)
| ~ spl20_13
| ~ spl20_17 ),
inference(unit_resulting_resolution,[],[f254,f264,f20638]) ).
fof(f20672,plain,
( leaf_occ(sK18(sK16(sK19)),sK15(sK18(sK16(sK19)),tptp0))
| ~ spl20_13
| ~ spl20_17 ),
inference(unit_resulting_resolution,[],[f253,f264,f20638]) ).
fof(f20706,plain,
( leaf_occ(sK17(sK15(sK18(sK16(sK19)),tptp0)),sK15(sK18(sK16(sK19)),tptp0))
| ~ spl20_13
| ~ spl20_17 ),
inference(unit_resulting_resolution,[],[f259,f20671]) ).
fof(f28228,plain,
( sK18(sK16(sK19)) = sK17(sK15(sK18(sK16(sK19)),tptp0))
| ~ spl20_13
| ~ spl20_17 ),
inference(unit_resulting_resolution,[],[f243,f264,f20671,f20672,f20706]) ).
fof(f28303,plain,
( occurrence_of(sK18(sK16(sK19)),tptp2)
| occurrence_of(sK18(sK16(sK19)),tptp3)
| ~ occurrence_of(sK15(sK18(sK16(sK19)),tptp0),tptp0)
| ~ spl20_13
| ~ spl20_17 ),
inference(superposition,[],[f260,f28228]) ).
fof(f28315,plain,
( occurrence_of(sK18(sK16(sK19)),tptp3)
| ~ occurrence_of(sK15(sK18(sK16(sK19)),tptp0),tptp0)
| ~ spl20_13
| ~ spl20_17 ),
inference(forward_subsumption_resolution,[],[f28303,f13612]) ).
fof(f28319,plain,
( ~ occurrence_of(sK15(sK18(sK16(sK19)),tptp0),tptp0)
| ~ spl20_13
| ~ spl20_17 ),
inference(forward_subsumption_resolution,[],[f28315,f13611]) ).
fof(f28320,plain,
( $false
| ~ spl20_13
| ~ spl20_17 ),
inference(forward_subsumption_resolution,[],[f28319,f20671]) ).
fof(f28321,plain,
( ~ spl20_13
| ~ spl20_17 ),
inference(avatar_contradiction_clause,[],[f28320]) ).
fof(f28419,plain,
( ~ activity_occurrence(sK19)
| ~ spl20_18 ),
inference(unit_resulting_resolution,[],[f178,f7680]) ).
fof(f28459,plain,
( $false
| ~ spl20_18 ),
inference(forward_subsumption_resolution,[],[f28419,f279]) ).
fof(f28460,plain,
~ spl20_18,
inference(avatar_contradiction_clause,[],[f28459]) ).
cnf(s29,plain,
spl20_13,
inference(sat_conversion,[],[f4042]) ).
cnf(s32,plain,
( spl20_17
| spl20_18 ),
inference(sat_conversion,[],[f7681]) ).
cnf(s65,plain,
( ~ spl20_13
| ~ spl20_17 ),
inference(sat_conversion,[],[f28321]) ).
cnf(s77,plain,
~ spl20_18,
inference(sat_conversion,[],[f28460]) ).
cnf(s78,plain,
spl20_17,
inference(rat,[],[s32,s77]) ).
cnf(s79,plain,
~ spl20_13,
inference(rat,[],[s65,s78]) ).
cnf(s81,plain,
$false,
inference(rat,[],[s29,s79]) ).
fof(f28461,plain,
$false,
inference(avatar_sat_refutation,[],[s81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO005+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:17:19 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 16.02/2.84 % (3465895)Will run a generic schedule for satisfiability detection.
% 16.02/2.84 % (3465900)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=231886495_2999 on theBenchmark for (2999ds/0Mi)
% 16.02/2.84 % Detected minimum model sizes of [4]
% 16.02/2.84 % Detected maximum model sizes of [max]
% 16.02/2.84 % TRYING [4]
% 16.02/2.84 % (3465901)% WARNING: option uhcvi not known.
% 16.02/2.84 % (3465901)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=523567610:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.02/2.84 % (3465902)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=784975115:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.02/2.84 % (3465903)dis+10_1_sil=32000:sp=arity:random_seed=775806873:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.02/2.84 % (3465904)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4223564122:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.02/2.84 % (3465905)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1919093935:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.02/2.84 % (3465906)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2400052551:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.02/2.84 % TRYING [5]
% 16.02/2.84 % TRYING [6]
% 16.02/2.84 % (3465906)Instruction limit reached!
% 16.02/2.84 % (3465906)------------------------------
% 16.02/2.84 % (3465906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.84 % (3465906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.84 % (3465906)CaDiCaL version: 2.1.3
% 16.02/2.84 % (3465906)Termination reason: Instruction limit
% 16.02/2.84 % (3465906)Termination phase: Saturation
% 16.02/2.84 % (3465906)Time elapsed: 0.063 s
% 16.02/2.84 % (3465906)Peak memory usage: 11 MB
% 16.02/2.84 % (3465906)Instructions burned: 161 (million)
% 16.02/2.84 % (3465903)Instruction limit reached!
% 16.02/2.84 % (3465903)------------------------------
% 16.02/2.84 % (3465903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.84 % (3465903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.84 % (3465903)CaDiCaL version: 2.1.3
% 16.02/2.84 % (3465903)Termination reason: Instruction limit
% 16.02/2.84 % (3465903)Termination phase: Saturation
% 16.02/2.84 % (3465903)Time elapsed: 0.071 s
% 16.02/2.84 % (3465903)Peak memory usage: 12 MB
% 16.02/2.84 % (3465903)Instructions burned: 104 (million)
% 16.02/2.84 % (3465904)Instruction limit reached!
% 16.02/2.84 % (3465904)------------------------------
% 16.02/2.84 % (3465904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.84 % (3465904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.84 % (3465904)CaDiCaL version: 2.1.3
% 16.02/2.84 % (3465904)Termination reason: Instruction limit
% 16.02/2.84 % (3465904)Termination phase: Saturation
% 16.02/2.84 % (3465904)Time elapsed: 0.075 s
% 16.02/2.84 % (3465904)Peak memory usage: 12 MB
% 16.02/2.84 % (3465904)Instructions burned: 116 (million)
% 16.02/2.84 % (3465914)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=426545507:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.02/2.84 % (3465905)Instruction limit reached!
% 16.02/2.84 % (3465905)------------------------------
% 16.02/2.84 % (3465905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.84 % (3465905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.84 % (3465905)CaDiCaL version: 2.1.3
% 16.02/2.84 % (3465905)Termination reason: Instruction limit
% 16.02/2.84 % (3465905)Termination phase: Saturation
% 16.02/2.84 % (3465905)Time elapsed: 0.088 s
% 16.02/2.84 % (3465905)Peak memory usage: 13 MB
% 16.02/2.84 % (3465905)Instructions burned: 132 (million)
% 16.02/2.84 % Detected minimum model sizes of [4]
% 16.02/2.84 % Detected maximum model sizes of [max]
% 16.02/2.84 % TRYING [4]
% 16.02/2.84 % (3465915)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1101104495:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.02/2.84 % (3465916)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=3517451963:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.02/2.84 % TRYING [5]
% 16.02/2.84 % (3465918)ott-21_1_sil=16000:fs=off:random_seed=3841782797:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.02/2.84 % TRYING [7]
% 16.02/2.84 % TRYING [6]
% 16.02/2.84 % (3465915)Instruction limit reached!
% 16.02/2.84 % (3465915)------------------------------
% 32.50/5.79 % (3465915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.50/5.79 % (3465915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.50/5.79 % (3465915)CaDiCaL version: 2.1.3
% 32.50/5.79 % (3465915)Termination reason: Instruction limit
% 32.50/5.79 % (3465915)Termination phase: Saturation
% 32.50/5.79 % (3465915)Time elapsed: 0.088 s
% 32.50/5.79 % (3465915)Peak memory usage: 13 MB
% 32.50/5.79 % (3465915)Instructions burned: 133 (million)
% 32.50/5.79 % (3465922)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3521334027:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 32.50/5.79 % (3465918)Instruction limit reached!
% 32.50/5.79 % (3465918)------------------------------
% 32.50/5.79 % (3465918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.50/5.79 % (3465918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.50/5.79 % (3465918)CaDiCaL version: 2.1.3
% 32.50/5.79 % (3465918)Termination reason: Instruction limit
% 32.50/5.79 % (3465918)Termination phase: Saturation
% 32.50/5.79 % (3465918)Time elapsed: 0.098 s
% 32.50/5.79 % (3465918)Peak memory usage: 13 MB
% 32.50/5.79 % (3465918)Instructions burned: 180 (million)
% 32.50/5.79 % (3465924)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=821276009:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 32.50/5.79 % Detected minimum model sizes of [4]
% 32.50/5.79 % Detected maximum model sizes of [max]
% 32.50/5.79 % TRYING [4]
% 32.50/5.79 % TRYING [5]
% 32.50/5.79 % TRYING [7]
% 32.50/5.79 % TRYING [6]
% 32.50/5.79 % (3465914)Instruction limit reached!
% 32.50/5.79 % (3465914)------------------------------
% 32.50/5.79 % (3465914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.50/5.79 % (3465914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.50/5.79 % (3465914)CaDiCaL version: 2.1.3
% 32.50/5.79 % (3465914)Termination reason: Instruction limit
% 32.50/5.79 % (3465914)Termination phase: Finite model building constraint generation
% 32.50/5.79 % (3465914)Time elapsed: 0.301 s
% 32.50/5.79 % (3465914)Peak memory usage: 30 MB
% 32.50/5.79 % (3465914)Instructions burned: 715 (million)
% 32.50/5.79 % (3465926)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4087114327:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 32.50/5.79 % TRYING [8]
% 32.50/5.79 % TRYING [7]
% 32.50/5.79 % (3465916)Instruction limit reached!
% 32.50/5.79 % (3465916)------------------------------
% 32.50/5.79 % (3465916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.50/5.79 % (3465916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.50/5.79 % (3465916)CaDiCaL version: 2.1.3
% 32.50/5.79 % (3465916)Termination reason: Instruction limit
% 32.50/5.79 % (3465916)Termination phase: Saturation
% 32.50/5.79 % (3465916)Time elapsed: 0.442 s
% 32.50/5.79 % (3465916)Peak memory usage: 19 MB
% 32.50/5.79 % (3465916)Instructions burned: 692 (million)
% 32.50/5.79 % (3465922)Instruction limit reached!
% 32.50/5.79 % (3465922)------------------------------
% 32.50/5.79 % (3465922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.50/5.79 % (3465922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.50/5.79 % (3465922)CaDiCaL version: 2.1.3
% 32.50/5.79 % (3465922)Termination reason: Instruction limit
% 32.50/5.79 % (3465922)Termination phase: Saturation
% 32.50/5.79 % (3465922)Time elapsed: 0.340 s
% 32.50/5.79 % (3465922)Peak memory usage: 15 MB
% 32.50/5.79 % (3465922)Instructions burned: 477 (million)
% 32.50/5.79 % (3465924)Instruction limit reached!
% 32.50/5.79 % (3465924)------------------------------
% 32.50/5.79 % (3465924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.50/5.79 % (3465924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.50/5.79 % (3465924)CaDiCaL version: 2.1.3
% 32.50/5.79 % (3465924)Termination reason: Instruction limit
% 32.50/5.79 % (3465924)Termination phase: Finite model building constraint generation
% 32.50/5.79 % (3465924)Time elapsed: 0.331 s
% 32.50/5.79 % (3465924)Peak memory usage: 22 MB
% 32.50/5.79 % (3465924)Instructions burned: 866 (million)
% 32.50/5.79 % (3465928)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2913990747:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 32.50/5.79 % (3465929)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=1169882104: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)
% 79.87/11.74 % (3465932)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=64931497:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 79.87/11.74 % TRYING [14]
% 79.87/11.74 % (3465929)Instruction limit reached!
% 79.87/11.74 % (3465929)------------------------------
% 79.87/11.74 % (3465929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.87/11.74 % (3465929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.87/11.74 % (3465929)CaDiCaL version: 2.1.3
% 79.87/11.74 % (3465929)Termination reason: Instruction limit
% 79.87/11.74 % (3465929)Termination phase: Saturation
% 79.87/11.74 % (3465929)Time elapsed: 0.314 s
% 79.87/11.74 % (3465929)Peak memory usage: 15 MB
% 79.87/11.74 % (3465929)Instructions burned: 692 (million)
% 79.87/11.74 % (3465928)Instruction limit reached!
% 79.87/11.74 % (3465928)------------------------------
% 79.87/11.74 % (3465928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.87/11.74 % (3465928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.87/11.74 % (3465928)CaDiCaL version: 2.1.3
% 79.87/11.74 % (3465928)Termination reason: Instruction limit
% 79.87/11.74 % (3465928)Termination phase: Finite model building constraint generation
% 79.87/11.74 % (3465928)Time elapsed: 0.318 s
% 79.87/11.74 % (3465928)Peak memory usage: 73 MB
% 79.87/11.74 % (3465928)Instructions burned: 891 (million)
% 79.87/11.74 % (3465934)fmb+10_1_sil=64000:random_seed=1439545668:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 79.87/11.74 % Detected minimum model sizes of [4]
% 79.87/11.74 % Detected maximum model sizes of [max]
% 79.87/11.74 % TRYING [4]
% 79.87/11.74 % (3465935)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=102656053:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 79.87/11.74 % Detected minimum model sizes of [4]
% 79.87/11.74 % Detected maximum model sizes of [max]
% 79.87/11.74 % TRYING [20]
% 79.87/11.74 % TRYING [5]
% 79.87/11.74 % TRYING [6]
% 79.87/11.74 % (3465932)Instruction limit reached!
% 79.87/11.74 % (3465932)------------------------------
% 79.87/11.74 % (3465932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.87/11.74 % (3465932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.87/11.74 % (3465932)CaDiCaL version: 2.1.3
% 79.87/11.74 % (3465932)Termination reason: Instruction limit
% 79.87/11.74 % (3465932)Termination phase: Saturation
% 79.87/11.74 % (3465932)Time elapsed: 0.494 s
% 79.87/11.74 % (3465932)Peak memory usage: 18 MB
% 79.87/11.74 % (3465932)Instructions burned: 879 (million)
% 79.87/11.74 % (3465938)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=139594066:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 79.87/11.74 % Detected minimum model sizes of [4]
% 79.87/11.74 % Detected maximum model sizes of [max]
% 79.87/11.74 % TRYING [8]
% 79.87/11.74 % (3465926)Instruction limit reached!
% 79.87/11.74 % (3465926)------------------------------
% 79.87/11.74 % (3465926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.87/11.74 % (3465926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.87/11.74 % (3465926)CaDiCaL version: 2.1.3
% 79.87/11.74 % (3465926)Termination reason: Instruction limit
% 79.87/11.74 % (3465926)Termination phase: Saturation
% 79.87/11.74 % (3465926)Time elapsed: 0.738 s
% 79.87/11.74 % (3465926)Peak memory usage: 25 MB
% 79.87/11.74 % (3465926)Instructions burned: 1180 (million)
% 79.87/11.74 % (3465940)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3096349781:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 79.87/11.74 % TRYING [7]
% 79.87/11.74 % (3465938)Instruction limit reached!
% 79.87/11.74 % (3465938)------------------------------
% 79.87/11.74 % (3465938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.87/11.74 % (3465938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.87/11.74 % (3465938)CaDiCaL version: 2.1.3
% 79.87/11.74 % (3465938)Termination reason: Instruction limit
% 79.87/11.74 % (3465938)Termination phase: Finite model building SAT solving
% 79.87/11.74 % (3465938)Time elapsed: 0.448 s
% 79.87/11.74 % (3465938)Peak memory usage: 54 MB
% 79.87/11.74 % (3465938)Instructions burned: 920 (million)
% 79.87/11.74 % (3465942)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4107629835:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 79.87/11.74 % TRYING [8]
% 79.87/11.74 % TRYING [9]
% 79.87/11.74 % (3465942)Instruction limit reached!
% 79.87/11.74 % (3465942)------------------------------
% 79.87/11.74 % (3465942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.87/11.74 % (3465942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/13.81 % (3465942)CaDiCaL version: 2.1.3
% 40.37/13.81 % (3465942)Termination reason: Instruction limit
% 40.37/13.81 % (3465942)Termination phase: Saturation
% 40.37/13.81 % (3465942)Time elapsed: 0.806 s
% 40.37/13.81 % (3465942)Peak memory usage: 27 MB
% 40.37/13.81 % (3465942)Instructions burned: 1472 (million)
% 40.37/13.81 % (3465944)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3913036577:i=6324_2975 on theBenchmark for (2975ds/6324Mi)
% 40.37/13.81 % Detected minimum model sizes of [4]
% 40.37/13.81 % Detected maximum model sizes of [max]
% 40.37/13.81 % TRYING [77]
% 40.37/13.81 % TRYING [9]
% 40.37/13.81 % (3465940)Instruction limit reached!
% 40.37/13.81 % (3465940)------------------------------
% 40.37/13.81 % (3465940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/13.81 % (3465940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/13.81 % (3465940)CaDiCaL version: 2.1.3
% 40.37/13.81 % (3465940)Termination reason: Instruction limit
% 40.37/13.81 % (3465940)Termination phase: Saturation
% 40.37/13.81 % (3465940)Time elapsed: 2.849 s
% 40.37/13.81 % (3465940)Peak memory usage: 22 MB
% 40.37/13.81 % (3465940)Instructions burned: 5131 (million)
% 40.37/13.81 % (3465946)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2223103097:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 40.37/13.81 % Detected minimum model sizes of [4]
% 40.37/13.81 % Detected maximum model sizes of [max]
% 40.37/13.81 % TRYING [16]
% 40.37/13.81 % (3465944)Instruction limit reached!
% 40.37/13.81 % (3465944)------------------------------
% 40.37/13.81 % (3465944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/13.81 % (3465944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/13.81 % (3465944)CaDiCaL version: 2.1.3
% 40.37/13.81 % (3465944)Termination reason: Instruction limit
% 40.37/13.81 % (3465944)Termination phase: Finite model building constraint generation
% 40.37/13.81 % (3465944)Time elapsed: 2.189 s
% 40.37/13.81 % (3465944)Peak memory usage: 410 MB
% 40.37/13.81 % (3465944)Instructions burned: 6327 (million)
% 40.37/13.81 % (3465948)ott-2_1_sil=16000:newcnf=on:random_seed=259548513:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2953 on theBenchmark for (2953ds/869Mi)
% 40.37/13.81 % (3465946)Instruction limit reached!
% 40.37/13.81 % (3465946)------------------------------
% 40.37/13.81 % (3465946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/13.81 % (3465946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/13.81 % (3465946)CaDiCaL version: 2.1.3
% 40.37/13.81 % (3465946)Termination reason: Instruction limit
% 40.37/13.81 % (3465946)Termination phase: Finite model building constraint generation
% 40.37/13.81 % (3465946)Time elapsed: 0.774 s
% 40.37/13.81 % (3465946)Peak memory usage: 161 MB
% 40.37/13.81 % (3465946)Instructions burned: 2174 (million)
% 40.37/13.81 % (3465950)ott+10_1_sil=32000:tgt=ground:random_seed=1995466694:i=5114:av=off_2951 on theBenchmark for (2951ds/5114Mi)
% 40.37/13.81 % (3465948)Instruction limit reached!
% 40.37/13.81 % (3465948)------------------------------
% 40.37/13.81 % (3465948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/13.81 % (3465948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/13.81 % (3465948)CaDiCaL version: 2.1.3
% 40.37/13.81 % (3465948)Termination reason: Instruction limit
% 40.37/13.81 % (3465948)Termination phase: Saturation
% 40.37/13.81 % (3465948)Time elapsed: 0.501 s
% 40.37/13.81 % (3465948)Peak memory usage: 16 MB
% 40.37/13.81 % (3465948)Instructions burned: 870 (million)
% 40.37/13.81 % (3465952)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3092214791:i=54282_2947 on theBenchmark for (2947ds/54282Mi)
% 40.37/13.81 % Detected minimum model sizes of [4]
% 40.37/13.81 % Detected maximum model sizes of [max]
% 40.37/13.81 % TRYING [4]
% 40.37/13.81 % TRYING [5]
% 40.37/13.81 % (3465935)Instruction limit reached!
% 40.37/13.81 % (3465935)------------------------------
% 40.37/13.81 % (3465935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/13.81 % (3465935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/13.81 % (3465935)CaDiCaL version: 2.1.3
% 40.37/13.81 % (3465935)Termination reason: Instruction limit
% 40.37/13.81 % (3465935)Termination phase: Finite model building constraint generation
% 40.37/13.81 % (3465935)Time elapsed: 4.304 s
% 40.37/13.81 % (3465935)Peak memory usage: 870 MB
% 40.37/13.81 % (3465935)Instructions burned: 9515 (million)
% 40.37/13.81 % TRYING [6]
% 40.37/13.81 % TRYING [10]
% 40.37/13.81 % (3465954)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3884151651:i=3512:aac=none_2946 on theBenchmark for (2946ds/3512Mi)
% 40.37/13.81 % TRYING [7]
% 40.37/13.81 % TRYING [8]
% 40.37/13.81 % TRYING [10]
% 40.37/13.81 % (3465954)Instruction limit reached!
% 40.37/13.81 % (3465954)------------------------------
% 40.37/13.81 % (3465954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/13.81 % (3465954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/13.81 % (3465954)CaDiCaL version: 2.1.3
% 40.37/13.81 % (3465954)Termination reason: Instruction limit
% 40.37/13.81 % (3465954)Termination phase: Saturation
% 40.37/13.81 % (3465954)Time elapsed: 2.062 s
% 40.37/13.81 % (3465954)Peak memory usage: 22 MB
% 40.37/13.81 % (3465954)Instructions burned: 3513 (million)
% 40.37/13.81 % (3465956)dis+21_1_sil=32000:sas=cadical:random_seed=528445878:i=3773:amm=off_2925 on theBenchmark for (2925ds/3773Mi)
% 40.37/13.81 % (3465950)Instruction limit reached!
% 40.37/13.81 % (3465950)------------------------------
% 40.37/13.81 % (3465950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/13.81 % (3465950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/13.81 % (3465950)CaDiCaL version: 2.1.3
% 40.37/13.81 % (3465950)Termination reason: Instruction limit
% 40.37/13.81 % (3465950)Termination phase: Saturation
% 40.37/13.81 % (3465950)Time elapsed: 3.208 s
% 40.37/13.81 % (3465950)Peak memory usage: 40 MB
% 40.37/13.81 % (3465950)Instructions burned: 5115 (million)
% 40.37/13.81 % (3465958)ott+11_1_sil=16000:gs=on:random_seed=3309708552:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2918 on theBenchmark for (2918ds/2251Mi)
% 40.37/13.81 % TRYING [9]
% 40.37/13.81 % (3465958)Instruction limit reached!
% 40.37/13.81 % (3465958)------------------------------
% 40.37/13.81 % (3465958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/13.81 % (3465958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/13.81 % (3465958)CaDiCaL version: 2.1.3
% 40.37/13.81 % (3465958)Termination reason: Instruction limit
% 40.37/13.81 % (3465958)Termination phase: Saturation
% 40.37/13.81 % (3465958)Time elapsed: 1.653 s
% 40.37/13.81 % (3465958)Peak memory usage: 31 MB
% 40.37/13.81 % (3465958)Instructions burned: 2251 (million)
% 40.37/13.81 % (3465960)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=258896337:fmbsr=1.6:i=67534_2902 on theBenchmark for (2902ds/67534Mi)
% 40.37/13.81 % Detected minimum model sizes of [4]
% 40.37/13.81 % Detected maximum model sizes of [max]
% 40.37/13.81 % TRYING [7]
% 40.37/13.81 % (3465956)Instruction limit reached!
% 40.37/13.81 % (3465956)------------------------------
% 40.37/13.81 % (3465956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/13.81 % (3465956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/13.81 % (3465956)CaDiCaL version: 2.1.3
% 40.37/13.81 % (3465956)Termination reason: Instruction limit
% 40.37/13.81 % (3465956)Termination phase: Saturation
% 40.37/13.81 % (3465956)Time elapsed: 2.392 s
% 40.37/13.81 % (3465956)Peak memory usage: 34 MB
% 40.37/13.81 % (3465956)Instructions burned: 3774 (million)
% 40.37/13.81 % (3465962)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1059523498:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2901 on theBenchmark for (2901ds/4591Mi)
% 40.37/13.81 % TRYING [8]
% 40.37/13.81 % (3465934)Instruction limit reached!
% 40.37/13.81 % (3465934)------------------------------
% 40.37/13.81 % (3465934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/13.81 % (3465934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/13.81 % (3465934)CaDiCaL version: 2.1.3
% 40.37/13.81 % (3465934)Termination reason: Instruction limit
% 40.37/13.81 % (3465934)Termination phase: Finite model building SAT solving
% 40.37/13.81 % (3465934)Time elapsed: 10.291 s
% 40.37/13.81 % (3465934)Peak memory usage: 89 MB
% 40.37/13.81 % (3465934)Instructions burned: 22062 (million)
% 40.37/13.81 % (3465964)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3454785067:i=29340_2887 on theBenchmark for (2887ds/29340Mi)
% 40.37/13.81 % (3465962)Instruction limit reached!
% 40.37/13.81 % (3465962)------------------------------
% 40.37/13.81 % (3465962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/13.81 % (3465962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/13.81 % (3465962)CaDiCaL version: 2.1.3
% 40.37/13.81 % (3465962)Termination reason: Instruction limit
% 40.37/13.81 % (3465962)Termination phase: Saturation
% 40.37/13.81 % (3465962)Time elapsed: 1.450 s
% 40.37/13.81 % (3465962)Peak memory usage: 12 MB
% 40.37/13.81 % (3465962)Instructions burned: 4593 (million)
% 40.37/13.81 % (3465966)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3556125903:i=5211_2886 on theBenchmark for (2886ds/5211Mi)
% 40.37/13.81 % TRYING [9]
% 40.37/13.81 % TRYING [11]
% 40.37/13.81 % (3465964) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3465895-3465964"...
% 40.37/13.81 % (3465964)...printing done.
% 40.37/13.81 % (3465964)Refutation found. Thanks to Tanya!
% 40.37/13.81 % SZS status Theorem for theBenchmark
% 40.37/13.81 % SZS output start Proof for theBenchmark
% See solution above
% 40.37/13.81 % (3465964)------------------------------
% 40.37/13.81 % (3465964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/13.81 % (3465964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/13.81 % (3465964)CaDiCaL version: 2.1.3
% 40.37/13.81 % (3465964)Termination reason: Refutation
% 40.37/13.81 % (3465964)Time elapsed: 2.101 s
% 40.37/13.81 % (3465964)Peak memory usage: 22 MB
% 40.37/13.81 % (3465964)Instructions burned: 4258 (million)
% 40.37/13.81 % (3465895)Success in time 13.381 s
% 40.37/13.81 % Vampire exiting
%------------------------------------------------------------------------------