%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR311_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 09:44:17 AM UTC 2026
% Result : Theorem 9.43s 1.94s
% Output : Refutation 11.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 32
% Syntax : Number of formulae : 154 ( 21 unt; 0 typ; 19 def)
% Number of atoms : 506 ( 133 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 561 ( 209 ~; 225 |; 93 &)
% ( 28 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 271 ( 0 atm; 48 fun; 138 num; 85 var)
% Number of types : 5 ( 3 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 31 ( 29 usr; 18 prp; 0-4 aty)
% Number of functors : 26 ( 21 usr; 12 con; 0-3 aty)
% Number of variables : 193 ( 176 !; 17 ?; 193 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
time: $tType ).
tff(type_def_6,type,
fluent: $tType ).
tff(type_def_7,type,
event: $tType ).
tff(func_def_0,type,
at_time: $int > time ).
tff(func_def_4,type,
waterLevel: $int > fluent ).
tff(func_def_5,type,
tapOn: event ).
tff(func_def_6,type,
tapOff: event ).
tff(func_def_7,type,
overflow: event ).
tff(func_def_8,type,
spilling: fluent ).
tff(func_def_9,type,
filling: fluent ).
tff(func_def_11,type,
sK2: ( fluent * $int ) > event ).
tff(func_def_12,type,
sK3: ( fluent * $int ) > event ).
tff(func_def_13,type,
sK4: ( fluent * event * $int ) > $int ).
tff(func_def_14,type,
sK5: ( fluent * $int * event ) > $int ).
tff(func_def_15,type,
sK6: ( fluent * $int ) > event ).
tff(func_def_16,type,
sK7: ( fluent * event ) > $int ).
tff(func_def_17,type,
sK8: ( $int * fluent ) > event ).
tff(func_def_18,type,
sK9: ( $int * $int * fluent ) > event ).
tff(func_def_19,type,
sK10: ( $int * $int * fluent ) > $int ).
tff(func_def_20,type,
sK11: ( fluent * $int * $int ) > $int ).
tff(func_def_21,type,
sK12: ( fluent * $int * $int ) > event ).
tff(func_def_24,type,
'$inst14': $int ).
tff(func_def_25,type,
'$inst15': $int ).
tff(func_def_26,type,
'$inst16': $int ).
tff(pred_def_1,type,
startedIn: ( time * fluent * time ) > $o ).
tff(pred_def_2,type,
stoppedIn: ( time * fluent * time ) > $o ).
tff(pred_def_3,type,
happens: ( event * time ) > $o ).
tff(pred_def_4,type,
initiates: ( event * fluent * time ) > $o ).
tff(pred_def_5,type,
terminates: ( event * fluent * time ) > $o ).
tff(pred_def_6,type,
releases: ( event * fluent * time ) > $o ).
tff(pred_def_7,type,
trajectory: ( fluent * time * fluent * $int ) > $o ).
tff(pred_def_8,type,
antitrajectory: ( fluent * time * fluent * $int ) > $o ).
tff(pred_def_9,type,
holdsAt: ( fluent * time ) > $o ).
tff(pred_def_10,type,
releasedAt: ( fluent * time ) > $o ).
tff(pred_def_12,type,
sP0: ( fluent * $int * event ) > $o ).
tff(pred_def_13,type,
sP1: ( fluent * event * $int ) > $o ).
tff(f5,axiom,
! [X1: $int,X0: fluent] :
( ( ~ ? [X2: event] :
( happens(X2,at_time(X1))
& terminates(X2,X0,at_time(X1)) )
& holdsAt(X0,at_time(X1))
& ~ releasedAt(X0,at_time($sum(X1,1))) )
=> holdsAt(X0,at_time($sum(X1,1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',keep_holding) ).
tff(f8,axiom,
! [X0: fluent,X1: $int] :
( ( ~ releasedAt(X0,at_time(X1))
& ~ ? [X2: event] :
( releases(X2,X0,at_time(X1))
& happens(X2,at_time(X1)) ) )
=> ~ releasedAt(X0,at_time($sum(X1,1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',keep_not_released) ).
tff(f9,axiom,
! [X2: fluent,X1: $int,X0: event] :
( ( happens(X0,at_time(X1))
& initiates(X0,X2,at_time(X1)) )
=> holdsAt(X2,at_time($sum(X1,1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_holds) ).
tff(f12,axiom,
! [X1: $int,X0: event,X2: fluent] :
( ( ( terminates(X0,X2,at_time(X1))
| initiates(X0,X2,at_time(X1)) )
& happens(X0,at_time(X1)) )
=> ~ releasedAt(X2,at_time($sum(X1,1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_not_released) ).
tff(f16,axiom,
! [X0: $int] : ( filling != waterLevel(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_not_waterLevel) ).
tff(f17,axiom,
! [X0: $int] : ( spilling != waterLevel(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spilling_not_waterLevel) ).
tff(f18,axiom,
filling != spilling,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_not_spilling) ).
tff(f20,axiom,
! [X2: $int,X0: event,X1: fluent] :
( initiates(X0,X1,at_time(X2))
<=> ( ? [X3: $int] :
( ( X1 = waterLevel(X3) )
& holdsAt(waterLevel(X3),at_time(X2))
& ( X0 = tapOff ) )
| ( ( X1 = spilling )
& ( X0 = overflow ) )
| ? [X3: $int] :
( ( X1 = waterLevel(X3) )
& ( X0 = overflow )
& holdsAt(waterLevel(X3),at_time(X2)) )
| ( ( X1 = filling )
& ( X0 = tapOn ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initiates_all_defn) ).
tff(f21,axiom,
! [X1: fluent,X2: $int,X0: event] :
( terminates(X0,X1,at_time(X2))
<=> ( ( ( X0 = overflow )
& ( X1 = filling ) )
| ( ( X1 = filling )
& ( X0 = tapOff ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',terminates_all_defn) ).
tff(f22,axiom,
! [X2: $int,X0: event,X1: fluent] :
( releases(X0,X1,at_time(X2))
<=> ? [X3: $int] :
( ( X1 = waterLevel(X3) )
& ( X0 = tapOn ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',releases_all_defn) ).
tff(f25,axiom,
! [X1: $int,X0: event] :
( happens(X0,at_time(X1))
<=> ( ( holdsAt(waterLevel(3),at_time(X1))
& holdsAt(filling,at_time(X1))
& ( X0 = overflow ) )
| ( ( X0 = tapOn )
& ( X1 = 0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).
tff(f31,axiom,
~ releasedAt(spilling,at_time(0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_released_spilling_0) ).
tff(f32,conjecture,
( holdsAt(spilling,at_time(3))
| holdsAt(filling,at_time(3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_or_spilling) ).
tff(f33,negated_conjecture,
~ ( holdsAt(spilling,at_time(3))
| holdsAt(filling,at_time(3)) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
tff(f37,plain,
! [X0: $int,X1: fluent] :
( ( ~ releasedAt(X1,at_time($sum(X0,1)))
& ~ ? [X2: event] :
( terminates(X2,X1,at_time(X0))
& happens(X2,at_time(X0)) )
& holdsAt(X1,at_time(X0)) )
=> holdsAt(X1,at_time($sum(X0,1))) ),
inference(rectify,[],[f5]) ).
tff(f39,plain,
! [X2: fluent,X0: $int,X1: event] :
( initiates(X1,X2,at_time(X0))
<=> ( ( ( overflow = X1 )
& ( spilling = X2 ) )
| ? [X4: $int] :
( ( waterLevel(X4) = X2 )
& ( overflow = X1 )
& holdsAt(waterLevel(X4),at_time(X0)) )
| ( ( filling = X2 )
& ( tapOn = X1 ) )
| ? [X3: $int] :
( ( waterLevel(X3) = X2 )
& holdsAt(waterLevel(X3),at_time(X0))
& ( tapOff = X1 ) ) ) ),
inference(rectify,[],[f20]) ).
tff(f41,plain,
! [X2: fluent,X1: event,X0: $int] :
( ( happens(X1,at_time(X0))
& ( terminates(X1,X2,at_time(X0))
| initiates(X1,X2,at_time(X0)) ) )
=> ~ releasedAt(X2,at_time($sum(X0,1))) ),
inference(rectify,[],[f12]) ).
tff(f42,plain,
! [X0: fluent,X1: $int,X2: event] :
( terminates(X2,X0,at_time(X1))
<=> ( ( ( overflow = X2 )
& ( filling = X0 ) )
| ( ( filling = X0 )
& ( tapOff = X2 ) ) ) ),
inference(rectify,[],[f21]) ).
tff(f44,plain,
! [X0: $int,X1: event] :
( happens(X1,at_time(X0))
<=> ( ( ( overflow = X1 )
& holdsAt(waterLevel(3),at_time(X0))
& holdsAt(filling,at_time(X0)) )
| ( ( tapOn = X1 )
& ( 0 = X0 ) ) ) ),
inference(rectify,[],[f25]) ).
tff(f45,plain,
! [X2: fluent,X0: $int,X1: event] :
( ? [X3: $int] :
( ( waterLevel(X3) = X2 )
& ( tapOn = X1 ) )
<=> releases(X1,X2,at_time(X0)) ),
inference(rectify,[],[f22]) ).
tff(f48,plain,
! [X0: fluent,X1: $int] :
( ~ releasedAt(X0,at_time($sum(X1,1)))
| releasedAt(X0,at_time(X1))
| ? [X2: event] :
( releases(X2,X0,at_time(X1))
& happens(X2,at_time(X1)) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f49,plain,
! [X0: fluent,X1: $int] :
( ? [X2: event] :
( releases(X2,X0,at_time(X1))
& happens(X2,at_time(X1)) )
| releasedAt(X0,at_time(X1))
| ~ releasedAt(X0,at_time($sum(X1,1))) ),
inference(flattening,[],[f48]) ).
tff(f52,plain,
! [X0: $int,X1: fluent] :
( holdsAt(X1,at_time($sum(X0,1)))
| releasedAt(X1,at_time($sum(X0,1)))
| ? [X2: event] :
( terminates(X2,X1,at_time(X0))
& happens(X2,at_time(X0)) )
| ~ holdsAt(X1,at_time(X0)) ),
inference(ennf_transformation,[],[f37]) ).
tff(f53,plain,
! [X0: $int,X1: fluent] :
( holdsAt(X1,at_time($sum(X0,1)))
| ~ holdsAt(X1,at_time(X0))
| ? [X2: event] :
( terminates(X2,X1,at_time(X0))
& happens(X2,at_time(X0)) )
| releasedAt(X1,at_time($sum(X0,1))) ),
inference(flattening,[],[f52]) ).
tff(f58,plain,
! [X2: fluent,X1: event,X0: $int] :
( ~ releasedAt(X2,at_time($sum(X0,1)))
| ~ happens(X1,at_time(X0))
| ( ~ initiates(X1,X2,at_time(X0))
& ~ terminates(X1,X2,at_time(X0)) ) ),
inference(ennf_transformation,[],[f41]) ).
tff(f59,plain,
! [X0: $int,X2: fluent,X1: event] :
( ~ releasedAt(X2,at_time($sum(X0,1)))
| ( ~ initiates(X1,X2,at_time(X0))
& ~ terminates(X1,X2,at_time(X0)) )
| ~ happens(X1,at_time(X0)) ),
inference(flattening,[],[f58]) ).
tff(f62,plain,
! [X2: fluent,X1: $int,X0: event] :
( holdsAt(X2,at_time($sum(X1,1)))
| ~ happens(X0,at_time(X1))
| ~ initiates(X0,X2,at_time(X1)) ),
inference(ennf_transformation,[],[f9]) ).
tff(f63,plain,
! [X2: fluent,X0: event,X1: $int] :
( ~ happens(X0,at_time(X1))
| holdsAt(X2,at_time($sum(X1,1)))
| ~ initiates(X0,X2,at_time(X1)) ),
inference(flattening,[],[f62]) ).
tff(f66,plain,
( ~ holdsAt(filling,at_time(3))
& ~ holdsAt(spilling,at_time(3)) ),
inference(ennf_transformation,[],[f33]) ).
tff(f71,definition,
! [X2: fluent,X0: $int,X1: event] :
( sP0(X2,X0,X1)
<=> ? [X3: $int] :
( ( waterLevel(X3) = X2 )
& holdsAt(waterLevel(X3),at_time(X0))
& ( tapOff = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
tff(f72,definition,
! [X2: fluent,X1: event,X0: $int] :
( sP1(X2,X1,X0)
<=> ? [X4: $int] :
( ( waterLevel(X4) = X2 )
& ( overflow = X1 )
& holdsAt(waterLevel(X4),at_time(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
tff(f73,plain,
! [X2: fluent,X0: $int,X1: event] :
( initiates(X1,X2,at_time(X0))
<=> ( ( ( overflow = X1 )
& ( spilling = X2 ) )
| sP1(X2,X1,X0)
| ( ( filling = X2 )
& ( tapOn = X1 ) )
| sP0(X2,X0,X1) ) ),
inference(definition_folding,[],[f39,f72,f71]) ).
tff(f78,plain,
! [X0: fluent,X1: $int] :
( ( releases(sK3(X0,X1),X0,at_time(X1))
& happens(sK3(X0,X1),at_time(X1)) )
| releasedAt(X0,at_time(X1))
| ~ releasedAt(X0,at_time($sum(X1,1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f49]) ).
tff(f85,plain,
! [X2: fluent,X0: $int,X1: event] :
( ( initiates(X1,X2,at_time(X0))
| ( ( ( overflow != X1 )
| ( spilling != X2 ) )
& ~ sP1(X2,X1,X0)
& ( ( filling != X2 )
| ( tapOn != X1 ) )
& ~ sP0(X2,X0,X1) ) )
& ( ( ( overflow = X1 )
& ( spilling = X2 ) )
| sP1(X2,X1,X0)
| ( ( filling = X2 )
& ( tapOn = X1 ) )
| sP0(X2,X0,X1)
| ~ initiates(X1,X2,at_time(X0)) ) ),
inference(nnf_transformation,[],[f73]) ).
tff(f86,plain,
! [X2: fluent,X0: $int,X1: event] :
( ( initiates(X1,X2,at_time(X0))
| ( ( ( overflow != X1 )
| ( spilling != X2 ) )
& ~ sP1(X2,X1,X0)
& ( ( filling != X2 )
| ( tapOn != X1 ) )
& ~ sP0(X2,X0,X1) ) )
& ( ( ( overflow = X1 )
& ( spilling = X2 ) )
| sP1(X2,X1,X0)
| ( ( filling = X2 )
& ( tapOn = X1 ) )
| sP0(X2,X0,X1)
| ~ initiates(X1,X2,at_time(X0)) ) ),
inference(flattening,[],[f85]) ).
tff(f87,plain,
! [X0: fluent,X1: $int,X2: event] :
( ( initiates(X2,X0,at_time(X1))
| ( ( ( overflow != X2 )
| ( spilling != X0 ) )
& ~ sP1(X0,X2,X1)
& ( ( filling != X0 )
| ( tapOn != X2 ) )
& ~ sP0(X0,X1,X2) ) )
& ( ( ( overflow = X2 )
& ( spilling = X0 ) )
| sP1(X0,X2,X1)
| ( ( filling = X0 )
& ( tapOn = X2 ) )
| sP0(X0,X1,X2)
| ~ initiates(X2,X0,at_time(X1)) ) ),
inference(rectify,[],[f86]) ).
tff(f88,plain,
! [X0: fluent,X1: event,X2: $int] :
( ~ happens(X1,at_time(X2))
| holdsAt(X0,at_time($sum(X2,1)))
| ~ initiates(X1,X0,at_time(X2)) ),
inference(rectify,[],[f63]) ).
tff(f92,plain,
! [X2: fluent,X0: $int,X1: event] :
( ( ? [X3: $int] :
( ( waterLevel(X3) = X2 )
& ( tapOn = X1 ) )
| ~ releases(X1,X2,at_time(X0)) )
& ( releases(X1,X2,at_time(X0))
| ! [X3: $int] :
( ( waterLevel(X3) != X2 )
| ( tapOn != X1 ) ) ) ),
inference(nnf_transformation,[],[f45]) ).
tff(f93,plain,
! [X0: fluent,X1: $int,X2: event] :
( ( ? [X3: $int] :
( ( waterLevel(X3) = X0 )
& ( tapOn = X2 ) )
| ~ releases(X2,X0,at_time(X1)) )
& ( releases(X2,X0,at_time(X1))
| ! [X4: $int] :
( ( waterLevel(X4) != X0 )
| ( tapOn != X2 ) ) ) ),
inference(rectify,[],[f92]) ).
tff(f94,plain,
! [X0: fluent,X1: $int,X2: event] :
( ( ( ( waterLevel(sK7(X0,X2)) = X0 )
& ( tapOn = X2 ) )
| ~ releases(X2,X0,at_time(X1)) )
& ( releases(X2,X0,at_time(X1))
| ! [X4: $int] :
( ( waterLevel(X4) != X0 )
| ( tapOn != X2 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X2))],[f93]) ).
tff(f95,plain,
! [X0: fluent,X1: $int,X2: event] :
( ( terminates(X2,X0,at_time(X1))
| ( ( ( overflow != X2 )
| ( filling != X0 ) )
& ( ( filling != X0 )
| ( tapOff != X2 ) ) ) )
& ( ( ( overflow = X2 )
& ( filling = X0 ) )
| ( ( filling = X0 )
& ( tapOff = X2 ) )
| ~ terminates(X2,X0,at_time(X1)) ) ),
inference(nnf_transformation,[],[f42]) ).
tff(f96,plain,
! [X0: fluent,X1: $int,X2: event] :
( ( terminates(X2,X0,at_time(X1))
| ( ( ( overflow != X2 )
| ( filling != X0 ) )
& ( ( filling != X0 )
| ( tapOff != X2 ) ) ) )
& ( ( ( overflow = X2 )
& ( filling = X0 ) )
| ( ( filling = X0 )
& ( tapOff = X2 ) )
| ~ terminates(X2,X0,at_time(X1)) ) ),
inference(flattening,[],[f95]) ).
tff(f97,plain,
! [X0: $int,X1: fluent] :
( holdsAt(X1,at_time($sum(X0,1)))
| ~ holdsAt(X1,at_time(X0))
| ( terminates(sK8(X0,X1),X1,at_time(X0))
& happens(sK8(X0,X1),at_time(X0)) )
| releasedAt(X1,at_time($sum(X0,1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f53]) ).
tff(f101,plain,
! [X0: $int,X1: event] :
( ( happens(X1,at_time(X0))
| ( ( ( overflow != X1 )
| ~ holdsAt(waterLevel(3),at_time(X0))
| ~ holdsAt(filling,at_time(X0)) )
& ( ( tapOn != X1 )
| ( 0 != X0 ) ) ) )
& ( ( ( overflow = X1 )
& holdsAt(waterLevel(3),at_time(X0))
& holdsAt(filling,at_time(X0)) )
| ( ( tapOn = X1 )
& ( 0 = X0 ) )
| ~ happens(X1,at_time(X0)) ) ),
inference(nnf_transformation,[],[f44]) ).
tff(f102,plain,
! [X0: $int,X1: event] :
( ( happens(X1,at_time(X0))
| ( ( ( overflow != X1 )
| ~ holdsAt(waterLevel(3),at_time(X0))
| ~ holdsAt(filling,at_time(X0)) )
& ( ( tapOn != X1 )
| ( 0 != X0 ) ) ) )
& ( ( ( overflow = X1 )
& holdsAt(waterLevel(3),at_time(X0))
& holdsAt(filling,at_time(X0)) )
| ( ( tapOn = X1 )
& ( 0 = X0 ) )
| ~ happens(X1,at_time(X0)) ) ),
inference(flattening,[],[f101]) ).
tff(f104,plain,
! [X0: $int,X1: fluent,X2: event] :
( ~ releasedAt(X1,at_time($sum(X0,1)))
| ( ~ initiates(X2,X1,at_time(X0))
& ~ terminates(X2,X1,at_time(X0)) )
| ~ happens(X2,at_time(X0)) ),
inference(rectify,[],[f59]) ).
tff(f109,plain,
~ holdsAt(spilling,at_time(3)),
inference(cnf_transformation,[],[f66]) ).
tff(f110,plain,
~ holdsAt(filling,at_time(3)),
inference(cnf_transformation,[],[f66]) ).
tff(f114,plain,
~ releasedAt(spilling,at_time(0)),
inference(cnf_transformation,[],[f31]) ).
tff(f118,plain,
filling != spilling,
inference(cnf_transformation,[],[f18]) ).
tff(f120,plain,
! [X0: fluent,X1: $int] :
( ~ releasedAt(X0,at_time($sum(X1,1)))
| happens(sK3(X0,X1),at_time(X1))
| releasedAt(X0,at_time(X1)) ),
inference(cnf_transformation,[],[f78]) ).
tff(f121,plain,
! [X0: fluent,X1: $int] :
( releases(sK3(X0,X1),X0,at_time(X1))
| ~ releasedAt(X0,at_time($sum(X1,1)))
| releasedAt(X0,at_time(X1)) ),
inference(cnf_transformation,[],[f78]) ).
tff(f135,plain,
! [X2: event,X0: fluent,X1: $int] :
( initiates(X2,X0,at_time(X1))
| ( filling != X0 )
| ( tapOn != X2 ) ),
inference(cnf_transformation,[],[f87]) ).
tff(f137,plain,
! [X2: event,X0: fluent,X1: $int] :
( initiates(X2,X0,at_time(X1))
| ( overflow != X2 )
| ( spilling != X0 ) ),
inference(cnf_transformation,[],[f87]) ).
tff(f138,plain,
! [X2: $int,X0: fluent,X1: event] :
( holdsAt(X0,at_time($sum(X2,1)))
| ~ happens(X1,at_time(X2))
| ~ initiates(X1,X0,at_time(X2)) ),
inference(cnf_transformation,[],[f88]) ).
tff(f145,plain,
! [X2: event,X0: fluent,X1: $int] :
( ( waterLevel(sK7(X0,X2)) = X0 )
| ~ releases(X2,X0,at_time(X1)) ),
inference(cnf_transformation,[],[f94]) ).
tff(f149,plain,
! [X2: event,X0: fluent,X1: $int] :
( ~ terminates(X2,X0,at_time(X1))
| ( filling = X0 )
| ( filling = X0 ) ),
inference(cnf_transformation,[],[f96]) ).
tff(f155,plain,
! [X0: $int,X1: fluent] :
( releasedAt(X1,at_time($sum(X0,1)))
| ~ holdsAt(X1,at_time(X0))
| holdsAt(X1,at_time($sum(X0,1)))
| happens(sK8(X0,X1),at_time(X0)) ),
inference(cnf_transformation,[],[f97]) ).
tff(f156,plain,
! [X0: $int,X1: fluent] :
( terminates(sK8(X0,X1),X1,at_time(X0))
| holdsAt(X1,at_time($sum(X0,1)))
| ~ holdsAt(X1,at_time(X0))
| releasedAt(X1,at_time($sum(X0,1))) ),
inference(cnf_transformation,[],[f97]) ).
tff(f166,plain,
! [X0: $int,X1: event] :
( holdsAt(waterLevel(3),at_time(X0))
| ( 0 = X0 )
| ~ happens(X1,at_time(X0)) ),
inference(cnf_transformation,[],[f102]) ).
tff(f170,plain,
! [X0: $int,X1: event] :
( happens(X1,at_time(X0))
| ( tapOn != X1 )
| ( 0 != X0 ) ),
inference(cnf_transformation,[],[f102]) ).
tff(f171,plain,
! [X0: $int,X1: event] :
( happens(X1,at_time(X0))
| ( overflow != X1 )
| ~ holdsAt(waterLevel(3),at_time(X0))
| ~ holdsAt(filling,at_time(X0)) ),
inference(cnf_transformation,[],[f102]) ).
tff(f175,plain,
! [X2: event,X0: $int,X1: fluent] :
( ~ releasedAt(X1,at_time($sum(X0,1)))
| ~ happens(X2,at_time(X0))
| ~ initiates(X2,X1,at_time(X0)) ),
inference(cnf_transformation,[],[f104]) ).
tff(f176,plain,
! [X0: $int] : ( waterLevel(X0) != spilling ),
inference(cnf_transformation,[],[f17]) ).
tff(f183,plain,
! [X0: $int] : ( filling != waterLevel(X0) ),
inference(cnf_transformation,[],[f16]) ).
tff(f189,plain,
! [X0: fluent,X1: $int] :
( initiates(overflow,X0,at_time(X1))
| ( spilling != X0 ) ),
inference(equality_resolution,[],[f137]) ).
tff(f190,plain,
! [X1: $int] : initiates(overflow,spilling,at_time(X1)),
inference(equality_resolution,[],[f189]) ).
tff(f191,plain,
! [X2: event,X1: $int] :
( initiates(X2,filling,at_time(X1))
| ( tapOn != X2 ) ),
inference(equality_resolution,[],[f135]) ).
tff(f192,plain,
! [X1: $int] : initiates(tapOn,filling,at_time(X1)),
inference(equality_resolution,[],[f191]) ).
tff(f199,plain,
! [X0: $int] :
( ~ holdsAt(waterLevel(3),at_time(X0))
| ~ holdsAt(filling,at_time(X0))
| happens(overflow,at_time(X0)) ),
inference(equality_resolution,[],[f171]) ).
tff(f200,plain,
! [X0: $int] :
( happens(tapOn,at_time(X0))
| ( 0 != X0 ) ),
inference(equality_resolution,[],[f170]) ).
tff(f201,plain,
happens(tapOn,at_time(0)),
inference(equality_resolution,[],[f200]) ).
tff(f203,plain,
! [X2: event,X0: fluent,X1: $int] :
( ~ terminates(X2,X0,at_time(X1))
| ( filling = X0 ) ),
inference(duplicate_literal_removal,[],[f149]) ).
tff(f205,definition,
( spl13_1
<=> releasedAt(spilling,at_time(0)) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
tff(f207,plain,
( ~ releasedAt(spilling,at_time(0))
| spl13_1 ),
inference(avatar_component_clause,[],[f205]) ).
tff(f208,plain,
~ spl13_1,
inference(avatar_split_clause,[],[f114,f205]) ).
tff(f215,definition,
( spl13_3
<=> holdsAt(spilling,at_time(3)) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
tff(f218,plain,
~ spl13_3,
inference(avatar_split_clause,[],[f109,f215]) ).
tff(f225,definition,
( spl13_5
<=> holdsAt(filling,at_time(3)) ),
introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).
tff(f228,plain,
~ spl13_5,
inference(avatar_split_clause,[],[f110,f225]) ).
tff(f240,definition,
( spl13_8
<=> happens(tapOn,at_time(0)) ),
introduced(definition,[new_symbols(definition,[spl13_8])],[avatar_definition]) ).
tff(f242,plain,
( happens(tapOn,at_time(0))
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f240]) ).
tff(f243,plain,
spl13_8,
inference(avatar_split_clause,[],[f201,f240]) ).
tff(f250,definition,
( spl13_10
<=> ( filling = spilling ) ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
tff(f253,plain,
~ spl13_10,
inference(avatar_split_clause,[],[f118,f250]) ).
tff(f280,plain,
! [X0: event,X1: $int] : ~ releases(X0,spilling,at_time(X1)),
inference(unit_resulting_resolution,[],[f145,f176]) ).
tff(f281,plain,
! [X0: event,X1: $int] : ~ releases(X0,filling,at_time(X1)),
inference(unit_resulting_resolution,[],[f145,f183]) ).
tff(f315,plain,
! [X0: $int,X1: event] :
( ~ holdsAt(filling,at_time(X0))
| ~ happens(X1,at_time(X0))
| ( 0 = X0 )
| happens(overflow,at_time(X0)) ),
inference(resolution,[],[f199,f166]) ).
tff(f320,plain,
( holdsAt(filling,at_time($sum(0,1)))
| ~ spl13_8 ),
inference(unit_resulting_resolution,[],[f138,f192,f242]) ).
tff(f323,plain,
( holdsAt(filling,at_time(1))
| ~ spl13_8 ),
inference(evaluation,[],[f320]) ).
tff(f325,definition,
( spl13_15
<=> holdsAt(filling,at_time(1)) ),
introduced(definition,[new_symbols(definition,[spl13_15])],[avatar_definition]) ).
tff(f327,plain,
( holdsAt(filling,at_time(1))
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f325]) ).
tff(f328,plain,
( spl13_15
| ~ spl13_8 ),
inference(avatar_split_clause,[],[f323,f240,f325]) ).
tff(f333,plain,
( ~ releasedAt(filling,at_time($sum(0,1)))
| ~ spl13_8 ),
inference(unit_resulting_resolution,[],[f175,f192,f242]) ).
tff(f335,plain,
( ~ releasedAt(filling,at_time(1))
| ~ spl13_8 ),
inference(evaluation,[],[f333]) ).
tff(f337,definition,
( spl13_16
<=> releasedAt(filling,at_time(1)) ),
introduced(definition,[new_symbols(definition,[spl13_16])],[avatar_definition]) ).
tff(f339,plain,
( ~ releasedAt(filling,at_time(1))
| spl13_16 ),
inference(avatar_component_clause,[],[f337]) ).
tff(f340,plain,
( ~ spl13_16
| ~ spl13_8 ),
inference(avatar_split_clause,[],[f335,f240,f337]) ).
tff(f354,plain,
( ~ releasedAt(spilling,at_time($sum(0,1)))
| spl13_1 ),
inference(unit_resulting_resolution,[],[f121,f207,f280]) ).
tff(f356,plain,
( ~ releasedAt(filling,at_time($sum(1,1)))
| spl13_16 ),
inference(unit_resulting_resolution,[],[f121,f339,f281]) ).
tff(f358,plain,
! [X0: $int] :
( ~ releasedAt(spilling,at_time($sum(X0,1)))
| releasedAt(spilling,at_time(X0)) ),
inference(resolution,[],[f121,f280]) ).
tff(f360,plain,
( ~ releasedAt(filling,at_time(2))
| spl13_16 ),
inference(evaluation,[],[f356]) ).
tff(f361,plain,
( ~ releasedAt(spilling,at_time(1))
| spl13_1 ),
inference(evaluation,[],[f354]) ).
tff(f364,definition,
( spl13_17
<=> releasedAt(filling,at_time(2)) ),
introduced(definition,[new_symbols(definition,[spl13_17])],[avatar_definition]) ).
tff(f366,plain,
( ~ releasedAt(filling,at_time(2))
| spl13_17 ),
inference(avatar_component_clause,[],[f364]) ).
tff(f367,plain,
( ~ spl13_17
| spl13_16 ),
inference(avatar_split_clause,[],[f360,f337,f364]) ).
tff(f369,definition,
( spl13_18
<=> releasedAt(spilling,at_time(1)) ),
introduced(definition,[new_symbols(definition,[spl13_18])],[avatar_definition]) ).
tff(f371,plain,
( ~ releasedAt(spilling,at_time(1))
| spl13_18 ),
inference(avatar_component_clause,[],[f369]) ).
tff(f372,plain,
( ~ spl13_18
| spl13_1 ),
inference(avatar_split_clause,[],[f361,f205,f369]) ).
tff(f399,plain,
( ~ releasedAt(spilling,at_time($sum(1,1)))
| spl13_18 ),
inference(unit_resulting_resolution,[],[f121,f280,f371]) ).
tff(f400,plain,
( ~ releasedAt(spilling,at_time(2))
| spl13_18 ),
inference(evaluation,[],[f399]) ).
tff(f402,definition,
( spl13_20
<=> releasedAt(spilling,at_time(2)) ),
introduced(definition,[new_symbols(definition,[spl13_20])],[avatar_definition]) ).
tff(f404,plain,
( ~ releasedAt(spilling,at_time(2))
| spl13_20 ),
inference(avatar_component_clause,[],[f402]) ).
tff(f405,plain,
( ~ spl13_20
| spl13_18 ),
inference(avatar_split_clause,[],[f400,f369,f402]) ).
tff(f429,plain,
! [X0: fluent,X1: $int] :
( holdsAt(X0,at_time($sum(X1,1)))
| happens(sK8(X1,X0),at_time(X1))
| releasedAt(X0,at_time(X1))
| ~ holdsAt(X0,at_time(X1))
| happens(sK3(X0,X1),at_time(X1)) ),
inference(resolution,[],[f155,f120]) ).
tff(f444,plain,
! [X0: fluent,X1: $int] :
( releasedAt(X0,at_time($sum(X1,1)))
| holdsAt(X0,at_time($sum(X1,1)))
| ( filling = X0 )
| ~ holdsAt(X0,at_time(X1)) ),
inference(resolution,[],[f156,f203]) ).
tff(f560,definition,
( spl13_29
<=> happens(overflow,at_time(1)) ),
introduced(definition,[new_symbols(definition,[spl13_29])],[avatar_definition]) ).
tff(f562,plain,
( happens(overflow,at_time(1))
| ~ spl13_29 ),
inference(avatar_component_clause,[],[f560]) ).
tff(f564,plain,
( ! [X0: event] :
( ( 0 = 1 )
| happens(overflow,at_time(1))
| ~ happens(X0,at_time(1)) )
| ~ spl13_15 ),
inference(resolution,[],[f315,f327]) ).
tff(f566,plain,
( ! [X0: event] :
( ~ happens(X0,at_time(1))
| happens(overflow,at_time(1)) )
| ~ spl13_15 ),
inference(evaluation,[],[f564]) ).
tff(f568,definition,
( spl13_30
<=> ! [X0: event] : ~ happens(X0,at_time(1)) ),
introduced(definition,[new_symbols(definition,[spl13_30])],[avatar_definition]) ).
tff(f569,plain,
( ! [X0: event] : ~ happens(X0,at_time(1))
| ~ spl13_30 ),
inference(avatar_component_clause,[],[f568]) ).
tff(f570,plain,
( spl13_29
| spl13_30
| ~ spl13_15 ),
inference(avatar_split_clause,[],[f566,f325,f568,f560]) ).
tff(f761,plain,
( holdsAt(filling,at_time($sum(1,1)))
| ~ spl13_15
| spl13_16
| ~ spl13_30 ),
inference(unit_resulting_resolution,[],[f429,f339,f327,f569,f569]) ).
tff(f773,plain,
( holdsAt(filling,at_time(2))
| ~ spl13_15
| spl13_16
| ~ spl13_30 ),
inference(evaluation,[],[f761]) ).
tff(f775,definition,
( spl13_42
<=> holdsAt(filling,at_time(2)) ),
introduced(definition,[new_symbols(definition,[spl13_42])],[avatar_definition]) ).
tff(f777,plain,
( holdsAt(filling,at_time(2))
| ~ spl13_42 ),
inference(avatar_component_clause,[],[f775]) ).
tff(f778,plain,
( spl13_42
| ~ spl13_15
| spl13_16
| ~ spl13_30 ),
inference(avatar_split_clause,[],[f773,f568,f337,f325,f775]) ).
tff(f789,plain,
( holdsAt(spilling,at_time($sum(1,1)))
| ~ spl13_29 ),
inference(unit_resulting_resolution,[],[f138,f190,f562]) ).
tff(f808,plain,
( holdsAt(spilling,at_time(2))
| ~ spl13_29 ),
inference(evaluation,[],[f789]) ).
tff(f814,definition,
( spl13_43
<=> holdsAt(spilling,at_time(2)) ),
introduced(definition,[new_symbols(definition,[spl13_43])],[avatar_definition]) ).
tff(f816,plain,
( holdsAt(spilling,at_time(2))
| ~ spl13_43 ),
inference(avatar_component_clause,[],[f814]) ).
tff(f817,plain,
( spl13_43
| ~ spl13_29 ),
inference(avatar_split_clause,[],[f808,f560,f814]) ).
tff(f923,plain,
( ! [X0: event] :
( happens(overflow,at_time(2))
| ~ happens(X0,at_time(2))
| ( 0 = 2 ) )
| ~ spl13_42 ),
inference(resolution,[],[f777,f315]) ).
tff(f925,plain,
( ! [X0: event] :
( ~ happens(X0,at_time(2))
| happens(overflow,at_time(2)) )
| ~ spl13_42 ),
inference(evaluation,[],[f923]) ).
tff(f927,definition,
( spl13_52
<=> happens(overflow,at_time(2)) ),
introduced(definition,[new_symbols(definition,[spl13_52])],[avatar_definition]) ).
tff(f929,plain,
( happens(overflow,at_time(2))
| ~ spl13_52 ),
inference(avatar_component_clause,[],[f927]) ).
tff(f935,definition,
( spl13_54
<=> ! [X0: event] : ~ happens(X0,at_time(2)) ),
introduced(definition,[new_symbols(definition,[spl13_54])],[avatar_definition]) ).
tff(f936,plain,
( ! [X0: event] : ~ happens(X0,at_time(2))
| ~ spl13_54 ),
inference(avatar_component_clause,[],[f935]) ).
tff(f937,plain,
( spl13_52
| spl13_54
| ~ spl13_42 ),
inference(avatar_split_clause,[],[f925,f775,f935,f927]) ).
tff(f953,plain,
( holdsAt(spilling,at_time($sum(2,1)))
| ~ spl13_52 ),
inference(unit_resulting_resolution,[],[f138,f190,f929]) ).
tff(f975,plain,
( holdsAt(spilling,at_time(3))
| ~ spl13_52 ),
inference(evaluation,[],[f953]) ).
tff(f992,plain,
( spl13_3
| ~ spl13_52 ),
inference(avatar_split_clause,[],[f975,f927,f215]) ).
tff(f1004,plain,
( holdsAt(filling,at_time($sum(2,1)))
| spl13_17
| ~ spl13_42
| ~ spl13_54 ),
inference(unit_resulting_resolution,[],[f429,f366,f777,f936,f936]) ).
tff(f1010,plain,
( holdsAt(filling,at_time(3))
| spl13_17
| ~ spl13_42
| ~ spl13_54 ),
inference(evaluation,[],[f1004]) ).
tff(f1013,plain,
( spl13_5
| spl13_17
| ~ spl13_42
| ~ spl13_54 ),
inference(avatar_split_clause,[],[f1010,f935,f775,f364,f225]) ).
tff(f1141,plain,
! [X0: $int] :
( holdsAt(spilling,at_time($sum(X0,1)))
| ~ holdsAt(spilling,at_time(X0))
| ( filling = spilling )
| releasedAt(spilling,at_time(X0)) ),
inference(resolution,[],[f358,f444]) ).
tff(f1156,definition,
( spl13_66
<=> ! [X0: $int] :
( holdsAt(spilling,at_time($sum(X0,1)))
| releasedAt(spilling,at_time(X0))
| ~ holdsAt(spilling,at_time(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl13_66])],[avatar_definition]) ).
tff(f1157,plain,
( ! [X0: $int] :
( holdsAt(spilling,at_time($sum(X0,1)))
| releasedAt(spilling,at_time(X0))
| ~ holdsAt(spilling,at_time(X0)) )
| ~ spl13_66 ),
inference(avatar_component_clause,[],[f1156]) ).
tff(f1158,plain,
( spl13_10
| spl13_66 ),
inference(avatar_split_clause,[],[f1141,f1156,f250]) ).
tff(f2907,plain,
( holdsAt(spilling,at_time($sum(2,1)))
| spl13_20
| ~ spl13_43
| ~ spl13_66 ),
inference(unit_resulting_resolution,[],[f1157,f816,f404]) ).
tff(f2915,plain,
( holdsAt(spilling,at_time(3))
| spl13_20
| ~ spl13_43
| ~ spl13_66 ),
inference(evaluation,[],[f2907]) ).
tff(f2916,plain,
( spl13_3
| spl13_20
| ~ spl13_43
| ~ spl13_66 ),
inference(avatar_split_clause,[],[f2915,f1156,f814,f402,f215]) ).
tff(f2917,plain,
$false,
inference(avatar_smt_refutation,[],[f2916,f1158,f1013,f992,f937,f817,f778,f570,f405,f372,f367,f340,f328,f253,f243,f228,f218,f208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR311_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n019.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 00:05:03 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.40/1.04 % (392272)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.40/1.04 % (392282)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2031966216:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.40/1.04 % (392279)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=773747353:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.40/1.04 % (392283)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2705792523:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.40/1.04 % (392280)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3070358564:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.40/1.04 % (392278)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4192687272:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.40/1.04 % (392281)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2892716654:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.40/1.04 % (392277)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3150110944:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.40/1.04 % (392282)Instruction limit reached!
% 4.40/1.04 % (392282)------------------------------
% 4.40/1.04 % (392282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.04 % (392282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.04 % (392282)CaDiCaL version: 2.1.3
% 4.40/1.04 % (392282)Termination reason: Instruction limit
% 4.40/1.04 % (392282)Termination phase: Saturation
% 4.40/1.04 % (392282)Time elapsed: 0.032 s
% 4.40/1.04 % (392282)Peak memory usage: 115 MB
% 4.40/1.04 % (392282)Instructions burned: 47 (million)
% 4.40/1.04 % (392281)Instruction limit reached!
% 4.40/1.04 % (392281)------------------------------
% 4.40/1.04 % (392281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.04 % (392281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.04 % (392281)CaDiCaL version: 2.1.3
% 4.40/1.04 % (392281)Termination reason: Instruction limit
% 4.40/1.04 % (392281)Termination phase: Saturation
% 4.40/1.04 % (392281)Time elapsed: 0.003 s
% 4.40/1.04 % (392281)Peak memory usage: 88 MB
% 4.40/1.04 % (392281)Instructions burned: 4 (million)
% 4.40/1.04 % (392280)Instruction limit reached!
% 4.40/1.04 % (392280)------------------------------
% 4.40/1.04 % (392280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.04 % (392280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.04 % (392280)CaDiCaL version: 2.1.3
% 4.40/1.04 % (392280)Termination reason: Instruction limit
% 4.40/1.04 % (392280)Termination phase: Saturation
% 4.40/1.04 % (392280)Time elapsed: 0.005 s
% 4.40/1.04 % (392280)Peak memory usage: 88 MB
% 4.40/1.04 % (392280)Instructions burned: 7 (million)
% 4.40/1.04 % (392277)Refutation not found, incomplete strategy
% 4.40/1.04 % (392277)------------------------------
% 4.40/1.04 % (392277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.04 % (392277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.04 % (392277)CaDiCaL version: 2.1.3
% 4.40/1.04 % (392277)Termination reason: Refutation not found, incomplete strategy
% 4.40/1.04 % (392277)Time elapsed: 0.031 s
% 4.40/1.04 % (392277)Peak memory usage: 115 MB
% 4.40/1.04 % (392277)Instructions burned: 9 (million)
% 4.40/1.04 % (392283)Instruction limit reached!
% 4.40/1.04 % (392283)------------------------------
% 4.40/1.04 % (392283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.04 % (392283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.04 % (392283)CaDiCaL version: 2.1.3
% 4.40/1.04 % (392283)Termination reason: Instruction limit
% 4.40/1.04 % (392283)Termination phase: Saturation
% 4.40/1.04 % (392283)Time elapsed: 0.047 s
% 4.40/1.04 % (392283)Peak memory usage: 115 MB
% 4.40/1.04 % (392283)Instructions burned: 34 (million)
% 4.40/1.04 % (392292)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3453514067:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.40/1.04 % (392292)Instruction limit reached!
% 4.40/1.04 % (392292)------------------------------
% 4.40/1.04 % (392292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.19 % (392292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.19 % (392292)CaDiCaL version: 2.1.3
% 4.70/1.19 % (392292)Termination reason: Instruction limit
% 4.70/1.19 % (392292)Termination phase: Saturation
% 4.70/1.19 % (392292)Time elapsed: 0.012 s
% 4.70/1.19 % (392292)Peak memory usage: 89 MB
% 4.70/1.19 % (392292)Instructions burned: 30 (million)
% 4.70/1.19 % (392279)Instruction limit reached!
% 4.70/1.19 % (392279)------------------------------
% 4.70/1.19 % (392279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.19 % (392279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.19 % (392279)CaDiCaL version: 2.1.3
% 4.70/1.19 % (392279)Termination reason: Instruction limit
% 4.70/1.19 % (392279)Termination phase: Saturation
% 4.70/1.19 % (392279)Time elapsed: 0.159 s
% 4.70/1.19 % (392279)Peak memory usage: 117 MB
% 4.70/1.19 % (392279)Instructions burned: 202 (million)
% 4.70/1.19 % (392291)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1461209958:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.70/1.19 % (392293)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=895940615:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.70/1.19 % (392291)Instruction limit reached!
% 4.70/1.19 % (392291)------------------------------
% 4.70/1.19 % (392291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.19 % (392291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.19 % (392291)CaDiCaL version: 2.1.3
% 4.70/1.19 % (392291)Termination reason: Instruction limit
% 4.70/1.19 % (392291)Termination phase: Saturation
% 4.70/1.19 % (392291)Time elapsed: 0.011 s
% 4.70/1.19 % (392291)Peak memory usage: 88 MB
% 4.70/1.19 % (392291)Instructions burned: 14 (million)
% 4.70/1.19 % (392293)Instruction limit reached!
% 4.70/1.19 % (392293)------------------------------
% 4.70/1.19 % (392293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.19 % (392293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.19 % (392293)CaDiCaL version: 2.1.3
% 4.70/1.19 % (392293)Termination reason: Instruction limit
% 4.70/1.19 % (392293)Termination phase: Saturation
% 4.70/1.19 % (392293)Time elapsed: 0.011 s
% 4.70/1.19 % (392293)Peak memory usage: 90 MB
% 4.70/1.19 % (392293)Instructions burned: 18 (million)
% 4.70/1.19 % (392278)Instruction limit reached!
% 4.70/1.19 % (392278)------------------------------
% 4.70/1.19 % (392278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.19 % (392278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.19 % (392278)CaDiCaL version: 2.1.3
% 4.70/1.19 % (392278)Termination reason: Instruction limit
% 4.70/1.19 % (392278)Termination phase: Saturation
% 4.70/1.19 % (392278)Time elapsed: 0.196 s
% 4.70/1.19 % (392278)Peak memory usage: 116 MB
% 4.70/1.19 % (392278)Instructions burned: 308 (million)
% 4.70/1.19 % (392294)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4209065891:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.70/1.19 % (392294)Instruction limit reached!
% 4.70/1.19 % (392294)------------------------------
% 4.70/1.19 % (392294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.19 % (392294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.19 % (392294)CaDiCaL version: 2.1.3
% 4.70/1.19 % (392294)Termination reason: Instruction limit
% 4.70/1.19 % (392294)Termination phase: Saturation
% 4.70/1.19 % (392294)Time elapsed: 0.021 s
% 4.70/1.19 % (392294)Peak memory usage: 89 MB
% 4.70/1.19 % (392294)Instructions burned: 25 (million)
% 4.70/1.19 % (392296)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1326940516:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.70/1.19 % (392296)Refutation not found, incomplete strategy
% 4.70/1.19 % (392296)------------------------------
% 4.70/1.19 % (392296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.19 % (392296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.19 % (392296)CaDiCaL version: 2.1.3
% 4.70/1.19 % (392296)Termination reason: Refutation not found, incomplete strategy
% 5.93/1.38 % (392296)Time elapsed: 0.002 s
% 5.93/1.38 % (392296)Peak memory usage: 89 MB
% 5.93/1.38 % (392296)Instructions burned: 5 (million)
% 5.93/1.38 % (392277)------------------------------
% 5.93/1.38 % (392277)------------------------------
% 5.93/1.38 % (392301)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2425204368:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.93/1.38 % (392299)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2773588560:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 5.93/1.38 % (392300)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=4105133034:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.93/1.38 % (392300)Instruction limit reached!
% 5.93/1.38 % (392300)------------------------------
% 5.93/1.38 % (392300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.38 % (392300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.38 % (392300)CaDiCaL version: 2.1.3
% 5.93/1.38 % (392300)Termination reason: Instruction limit
% 5.93/1.38 % (392300)Termination phase: Equality resolution with deletion
% 5.93/1.38 % (392300)Time elapsed: 0.002 s
% 5.93/1.38 % (392300)Peak memory usage: 86 MB
% 5.93/1.38 % (392300)Instructions burned: 2 (million)
% 5.93/1.38 % (392301)Refutation not found, incomplete strategy
% 5.93/1.38 % (392301)------------------------------
% 5.93/1.38 % (392301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.38 % (392301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.38 % (392301)CaDiCaL version: 2.1.3
% 5.93/1.38 % (392301)Termination reason: Refutation not found, incomplete strategy
% 5.93/1.38 % (392301)Time elapsed: 0.004 s
% 5.93/1.38 % (392301)Peak memory usage: 89 MB
% 5.93/1.38 % (392301)Instructions burned: 3 (million)
% 5.93/1.38 % (392303)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3965283931:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.93/1.38 % (392303)Instruction limit reached!
% 5.93/1.38 % (392303)------------------------------
% 5.93/1.38 % (392303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.38 % (392303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.38 % (392303)CaDiCaL version: 2.1.3
% 5.93/1.38 % (392303)Termination reason: Instruction limit
% 5.93/1.38 % (392303)Termination phase: Saturation
% 5.93/1.38 % (392303)Time elapsed: 0.003 s
% 5.93/1.38 % (392303)Peak memory usage: 88 MB
% 5.93/1.38 % (392303)Instructions burned: 4 (million)
% 5.93/1.38 % (392299)Instruction limit reached!
% 5.93/1.38 % (392299)------------------------------
% 5.93/1.38 % (392299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.38 % (392299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.38 % (392299)CaDiCaL version: 2.1.3
% 5.93/1.38 % (392299)Termination reason: Instruction limit
% 5.93/1.38 % (392299)Termination phase: Saturation
% 5.93/1.38 % (392299)Time elapsed: 0.056 s
% 5.93/1.38 % (392299)Peak memory usage: 88 MB
% 5.93/1.38 % (392299)Instructions burned: 86 (million)
% 5.93/1.38 % (392304)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1655401274:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.93/1.38 % (392296)------------------------------
% 5.93/1.38 % (392296)------------------------------
% 5.93/1.38 % (392306)lrs+10_1_thi=all:si=on:fd=off:random_seed=125493784:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 5.93/1.38 % (392304)Instruction limit reached!
% 5.93/1.38 % (392304)------------------------------
% 5.93/1.38 % (392304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.38 % (392304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.38 % (392304)CaDiCaL version: 2.1.3
% 5.93/1.38 % (392304)Termination reason: Instruction limit
% 5.93/1.38 % (392304)Termination phase: Saturation
% 5.93/1.38 % (392304)Time elapsed: 0.091 s
% 5.93/1.38 % (392304)Peak memory usage: 133 MB
% 5.93/1.38 % (392304)Instructions burned: 66 (million)
% 5.93/1.38 % (392310)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=1708671202:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 5.93/1.38 % (392310)Instruction limit reached!
% 5.93/1.38 % (392310)------------------------------
% 7.55/1.63 % (392310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.63 % (392310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.63 % (392310)CaDiCaL version: 2.1.3
% 7.55/1.63 % (392310)Termination reason: Instruction limit
% 7.55/1.63 % (392310)Termination phase: Saturation
% 7.55/1.63 % (392310)Time elapsed: 0.006 s
% 7.55/1.63 % (392310)Peak memory usage: 88 MB
% 7.55/1.63 % (392310)Instructions burned: 8 (million)
% 7.55/1.63 % (392306)Instruction limit reached!
% 7.55/1.63 % (392306)------------------------------
% 7.55/1.63 % (392306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.63 % (392306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.63 % (392306)CaDiCaL version: 2.1.3
% 7.55/1.63 % (392306)Termination reason: Instruction limit
% 7.55/1.63 % (392306)Termination phase: Saturation
% 7.55/1.63 % (392306)Time elapsed: 0.063 s
% 7.55/1.63 % (392306)Peak memory usage: 116 MB
% 7.55/1.63 % (392306)Instructions burned: 53 (million)
% 7.55/1.63 % (392315)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2563862542:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 7.55/1.63 % (392314)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=572590451:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 7.55/1.63 % (392312)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2721215479:st=3:i=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/2Mi)
% 7.55/1.63 % (392312)Instruction limit reached!
% 7.55/1.63 % (392312)------------------------------
% 7.55/1.63 % (392312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.63 % (392312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.63 % (392312)CaDiCaL version: 2.1.3
% 7.55/1.63 % (392312)Termination reason: Instruction limit
% 7.55/1.63 % (392312)Termination phase: Saturation
% 7.55/1.63 % (392312)Time elapsed: 0.002 s
% 7.55/1.63 % (392312)Peak memory usage: 87 MB
% 7.55/1.63 % (392312)Instructions burned: 2 (million)
% 7.55/1.63 % (392314)Instruction limit reached!
% 7.55/1.63 % (392314)------------------------------
% 7.55/1.63 % (392314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.63 % (392314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.63 % (392314)CaDiCaL version: 2.1.3
% 7.55/1.63 % (392314)Termination reason: Instruction limit
% 7.55/1.63 % (392314)Termination phase: Property scanning
% 7.55/1.63 % (392314)Time elapsed: 0.002 s
% 7.55/1.63 % (392314)Peak memory usage: 86 MB
% 7.55/1.63 % (392314)Instructions burned: 3 (million)
% 7.55/1.63 % (392301)------------------------------
% 7.55/1.63 % (392301)------------------------------
% 7.55/1.63 % (392315)Instruction limit reached!
% 7.55/1.63 % (392315)------------------------------
% 7.55/1.63 % (392315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.63 % (392315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.63 % (392315)CaDiCaL version: 2.1.3
% 7.55/1.63 % (392315)Termination reason: Instruction limit
% 7.55/1.63 % (392315)Termination phase: Saturation
% 7.55/1.63 % (392315)Time elapsed: 0.064 s
% 7.55/1.63 % (392315)Peak memory usage: 116 MB
% 7.55/1.63 % (392315)Instructions burned: 129 (million)
% 7.55/1.63 % (392319)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2732917012:i=26:canc=cautious:av=off:rtra=on_2993 on theBenchmark for (2993ds/26Mi)
% 7.55/1.63 % (392318)dis+10_1_si=on:random_seed=2488505424:i=10:ep=R:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 7.55/1.63 % (392319)Refutation not found, incomplete strategy
% 7.55/1.63 % (392319)------------------------------
% 7.55/1.63 % (392319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.63 % (392319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.63 % (392319)CaDiCaL version: 2.1.3
% 7.55/1.63 % (392319)Termination reason: Refutation not found, incomplete strategy
% 7.55/1.63 % (392319)Time elapsed: 0.005 s
% 7.55/1.63 % (392319)Peak memory usage: 88 MB
% 7.55/1.63 % (392319)Instructions burned: 6 (million)
% 7.55/1.63 % (392318)Instruction limit reached!
% 7.55/1.63 % (392318)------------------------------
% 7.55/1.63 % (392318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.63 % (392318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.87 % (392318)CaDiCaL version: 2.1.3
% 9.03/1.87 % (392318)Termination reason: Instruction limit
% 9.03/1.87 % (392318)Termination phase: Saturation
% 9.03/1.87 % (392318)Time elapsed: 0.007 s
% 9.03/1.87 % (392318)Peak memory usage: 88 MB
% 9.03/1.87 % (392318)Instructions burned: 11 (million)
% 9.03/1.87 % (392323)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=297884656:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2993 on theBenchmark for (2993ds/35Mi)
% 9.03/1.87 % (392324)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=871853609:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 9.03/1.87 % (392325)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1435638383:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 9.03/1.87 % (392324)Instruction limit reached!
% 9.03/1.87 % (392324)------------------------------
% 9.03/1.87 % (392324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/1.87 % (392324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.87 % (392324)CaDiCaL version: 2.1.3
% 9.03/1.87 % (392324)Termination reason: Instruction limit
% 9.03/1.87 % (392324)Termination phase: Property scanning
% 9.03/1.87 % (392324)Time elapsed: 0.002 s
% 9.03/1.87 % (392324)Peak memory usage: 86 MB
% 9.03/1.87 % (392324)Instructions burned: 3 (million)
% 9.03/1.87 % (392325)Instruction limit reached!
% 9.03/1.87 % (392325)------------------------------
% 9.03/1.87 % (392325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/1.87 % (392325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.87 % (392325)CaDiCaL version: 2.1.3
% 9.03/1.87 % (392325)Termination reason: Instruction limit
% 9.03/1.87 % (392325)Termination phase: Saturation
% 9.03/1.87 % (392325)Time elapsed: 0.006 s
% 9.03/1.87 % (392325)Peak memory usage: 88 MB
% 9.03/1.87 % (392325)Instructions burned: 8 (million)
% 9.03/1.87 % (392327)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2645918219:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2992 on theBenchmark for (2992ds/13Mi)
% 9.03/1.87 % (392327)Instruction limit reached!
% 9.03/1.87 % (392327)------------------------------
% 9.03/1.87 % (392327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/1.87 % (392327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.87 % (392327)CaDiCaL version: 2.1.3
% 9.03/1.87 % (392327)Termination reason: Instruction limit
% 9.03/1.87 % (392327)Termination phase: Saturation
% 9.03/1.87 % (392327)Time elapsed: 0.018 s
% 9.03/1.87 % (392327)Peak memory usage: 113 MB
% 9.03/1.87 % (392327)Instructions burned: 14 (million)
% 9.03/1.87 % (392323)Instruction limit reached!
% 9.03/1.87 % (392323)------------------------------
% 9.03/1.87 % (392323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/1.87 % (392323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.87 % (392323)CaDiCaL version: 2.1.3
% 9.03/1.87 % (392323)Termination reason: Instruction limit
% 9.03/1.87 % (392323)Termination phase: Saturation
% 9.03/1.87 % (392323)Time elapsed: 0.030 s
% 9.03/1.87 % (392323)Peak memory usage: 89 MB
% 9.03/1.87 % (392323)Instructions burned: 36 (million)
% 9.03/1.87 % (392326)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=154356602:i=370:ep=RS:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/370Mi)
% 9.03/1.87 % (392330)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=659045928:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 9.03/1.87 % (392330)Refutation not found, incomplete strategy
% 9.03/1.87 % (392330)------------------------------
% 9.03/1.87 % (392330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/1.87 % (392330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.87 % (392330)CaDiCaL version: 2.1.3
% 9.03/1.87 % (392330)Termination reason: Refutation not found, incomplete strategy
% 9.03/1.87 % (392330)Time elapsed: 0.030 s
% 9.03/1.87 % (392330)Peak memory usage: 115 MB
% 9.03/1.87 % (392330)Instructions burned: 7 (million)
% 9.03/1.87 % (392338)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=663443011:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2991 on theBenchmark for (2991ds/294Mi)
% 9.43/1.94 % (392335)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=2893281283:i=10:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 9.43/1.94 % (392336)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=1702722980:i=71:rtra=on:gtg=exists_top_2991 on theBenchmark for (2991ds/71Mi)
% 9.43/1.94 % (392335)Instruction limit reached!
% 9.43/1.94 % (392335)------------------------------
% 9.43/1.94 % (392335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/1.94 % (392335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.94 % (392335)CaDiCaL version: 2.1.3
% 9.43/1.94 % (392335)Termination reason: Instruction limit
% 9.43/1.94 % (392335)Termination phase: Saturation
% 9.43/1.94 % (392335)Time elapsed: 0.007 s
% 9.43/1.94 % (392335)Peak memory usage: 88 MB
% 9.43/1.94 % (392335)Instructions burned: 10 (million)
% 9.43/1.94 % (392337)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=1696012877:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2991 on theBenchmark for (2991ds/75Mi)
% 9.43/1.94 % (392319)------------------------------
% 9.43/1.94 % (392319)------------------------------
% 9.43/1.94 % (392336)Instruction limit reached!
% 9.43/1.94 % (392336)------------------------------
% 9.43/1.94 % (392336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/1.94 % (392336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.94 % (392336)CaDiCaL version: 2.1.3
% 9.43/1.94 % (392336)Termination reason: Instruction limit
% 9.43/1.94 % (392336)Termination phase: Saturation
% 9.43/1.94 % (392336)Time elapsed: 0.091 s
% 9.43/1.94 % (392336)Peak memory usage: 133 MB
% 9.43/1.94 % (392336)Instructions burned: 72 (million)
% 9.43/1.94 % (392337)Instruction limit reached!
% 9.43/1.94 % (392337)------------------------------
% 9.43/1.94 % (392337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/1.94 % (392337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.94 % (392337)CaDiCaL version: 2.1.3
% 9.43/1.94 % (392337)Termination reason: Instruction limit
% 9.43/1.94 % (392337)Termination phase: Saturation
% 9.43/1.94 % (392337)Time elapsed: 0.055 s
% 9.43/1.94 % (392337)Peak memory usage: 90 MB
% 9.43/1.94 % (392337)Instructions burned: 75 (million)
% 9.43/1.94 % (392338)Instruction limit reached!
% 9.43/1.94 % (392338)------------------------------
% 9.43/1.94 % (392338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/1.94 % (392338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.94 % (392338)CaDiCaL version: 2.1.3
% 9.43/1.94 % (392338)Termination reason: Instruction limit
% 9.43/1.94 % (392338)Termination phase: Saturation
% 9.43/1.94 % (392338)Time elapsed: 0.108 s
% 9.43/1.94 % (392338)Peak memory usage: 90 MB
% 9.43/1.94 % (392338)Instructions burned: 295 (million)
% 9.43/1.94 % (392326)Instruction limit reached!
% 9.43/1.94 % (392326)------------------------------
% 9.43/1.94 % (392326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/1.94 % (392326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.94 % (392326)CaDiCaL version: 2.1.3
% 9.43/1.94 % (392326)Termination reason: Instruction limit
% 9.43/1.94 % (392326)Termination phase: Saturation
% 9.43/1.94 % (392326)Time elapsed: 0.226 s
% 9.43/1.94 % (392326)Peak memory usage: 92 MB
% 9.43/1.94 % (392326)Instructions burned: 371 (million)
% 9.43/1.94 % (392344)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=3647527870:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2990 on theBenchmark for (2990ds/130Mi)
% 9.43/1.94 % (392346)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=4129714284:i=131:rtra=on_2989 on theBenchmark for (2989ds/131Mi)
% 9.43/1.94 % (392349)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=269312334:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/598Mi)
% 9.43/1.94 % (392330)------------------------------
% 9.43/1.94 % (392330)------------------------------
% 9.43/1.94 % (392348)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=1840240981:i=307:rtra=on:gtg=exists_top_2989 on theBenchmark for (2989ds/307Mi)
% 9.43/1.94 % (392347)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=844155687:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/40Mi)
% 9.43/1.94 % (392348)Refutation not found, incomplete strategy
% 9.43/1.94 % (392348)------------------------------
% 9.43/1.94 % (392348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/1.94 % (392348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.94 % (392348)CaDiCaL version: 2.1.3
% 9.43/1.94 % (392348)Termination reason: Refutation not found, incomplete strategy
% 9.43/1.94 % (392348)Time elapsed: 0.005 s
% 9.43/1.94 % (392348)Peak memory usage: 89 MB
% 9.43/1.94 % (392348)Instructions burned: 7 (million)
% 9.43/1.94 % (392344)Instruction limit reached!
% 9.43/1.94 % (392344)------------------------------
% 9.43/1.94 % (392344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/1.94 % (392344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.94 % (392344)CaDiCaL version: 2.1.3
% 9.43/1.94 % (392344)Termination reason: Instruction limit
% 9.43/1.94 % (392344)Termination phase: Saturation
% 9.43/1.94 % (392344)Time elapsed: 0.103 s
% 9.43/1.94 % (392344)Peak memory usage: 116 MB
% 9.43/1.94 % (392344)Instructions burned: 131 (million)
% 9.43/1.94 % (392350)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=4241074089:i=131:canc=cautious:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/131Mi)
% 9.43/1.94 % (392347)Instruction limit reached!
% 9.43/1.94 % (392347)------------------------------
% 9.43/1.94 % (392347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/1.94 % (392347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.94 % (392347)CaDiCaL version: 2.1.3
% 9.43/1.94 % (392347)Termination reason: Instruction limit
% 9.43/1.94 % (392347)Termination phase: Saturation
% 9.43/1.94 % (392347)Time elapsed: 0.067 s
% 9.43/1.94 % (392347)Peak memory usage: 133 MB
% 9.43/1.94 % (392347)Instructions burned: 41 (million)
% 9.43/1.94 % (392346)Instruction limit reached!
% 9.43/1.94 % (392346)------------------------------
% 9.43/1.94 % (392346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/1.94 % (392346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.94 % (392346)CaDiCaL version: 2.1.3
% 9.43/1.94 % (392346)Termination reason: Instruction limit
% 9.43/1.94 % (392346)Termination phase: Saturation
% 9.43/1.94 % (392346)Time elapsed: 0.131 s
% 9.43/1.94 % (392346)Peak memory usage: 133 MB
% 9.43/1.94 % (392346)Instructions burned: 131 (million)
% 9.43/1.94 % (392350)Instruction limit reached!
% 9.43/1.94 % (392350)------------------------------
% 9.43/1.94 % (392350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/1.94 % (392350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.94 % (392350)CaDiCaL version: 2.1.3
% 9.43/1.94 % (392350)Termination reason: Instruction limit
% 9.43/1.94 % (392350)Termination phase: Saturation
% 9.43/1.94 % (392350)Time elapsed: 0.095 s
% 9.43/1.94 % (392350)Peak memory usage: 117 MB
% 9.43/1.94 % (392350)Instructions burned: 132 (million)
% 9.43/1.94 % (392354)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=409202733:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2987 on theBenchmark for (2987ds/259Mi)
% 9.43/1.94 % (392349)First to succeed.
% 9.43/1.94 % (392349)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-392272"
% 9.43/1.94 % (392354)Refutation not found, incomplete strategy
% 9.43/1.94 % (392354)------------------------------
% 9.43/1.94 % (392354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/1.94 % (392354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/1.94 % (392354)CaDiCaL version: 2.1.3
% 9.43/1.94 % (392354)Termination reason: Refutation not found, incomplete strategy
% 9.43/1.94 % (392354)Time elapsed: 0.031 s
% 9.43/1.94 % (392354)Peak memory usage: 115 MB
% 9.43/1.94 % (392354)Instructions burned: 9 (million)
% 9.43/1.94 % (392357)dis+10_1_si=on:random_seed=2037016660:s2a=on:i=1000:rtra=on:gtg=exists_all_2987 on theBenchmark for (2987ds/1000Mi)
% 9.43/1.94 % (392359)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=3590380435:i=383:fsr=off:rtra=on:ev=force_2986 on theBenchmark for (2986ds/383Mi)
% 9.43/1.94 % (392360)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=2085483341:i=141:doe=on:rtra=on_2986 on theBenchmark for (2986ds/141Mi)
% 9.43/1.94 % (392348)------------------------------
% 9.43/1.94 % (392348)------------------------------
% 9.43/1.94 % (392362)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=2927622450:i=65:nm=16:rtra=on_2986 on theBenchmark for (2986ds/65Mi)
% 9.43/1.94 % (392349)Refutation found. Thanks to Tanya!
% 9.43/1.94 % SZS status Theorem for theBenchmark
% 9.43/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 11.23/2.04 % (392349)------------------------------
% 11.23/2.04 % (392349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.04 % (392349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.04 % (392349)CaDiCaL version: 2.1.3
% 11.23/2.04 % (392349)Termination reason: Refutation
% 11.23/2.04 % (392349)Time elapsed: 0.186 s
% 11.23/2.04 % (392349)Peak memory usage: 137 MB
% 11.23/2.04 % (392349)Instructions burned: 429 (million)
% 11.23/2.04 % (392349)------------------------------
% 11.23/2.04 % (392349)------------------------------
% 11.23/2.04 % (392272)Success in time 1.547 s
% 11.23/2.04 % Vampire exiting
%------------------------------------------------------------------------------