%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR309_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:46:35 AM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 63 ( 20 ~; 25 |; 14 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 80 ( 0 atm; 12 fun; 61 num; 7 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 : 13 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 24 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 21 ( 16 !; 5 ?; 21 :)
% 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_13,type,
sK0: ( $int * fluent * $int ) > event ).
tff(func_def_14,type,
sK1: ( $int * fluent * $int ) > $int ).
tff(func_def_15,type,
sK2: ( $int * fluent * $int ) > event ).
tff(func_def_16,type,
sK3: ( $int * fluent * $int ) > $int ).
tff(func_def_17,type,
sK4: ( fluent * $int ) > event ).
tff(func_def_18,type,
sK5: ( fluent * $int ) > event ).
tff(func_def_19,type,
sK6: ( fluent * $int ) > event ).
tff(func_def_20,type,
sK7: ( fluent * $int ) > event ).
tff(func_def_21,type,
sK8: ( event * fluent * $int ) > $int ).
tff(func_def_22,type,
sK9: ( event * fluent * $int ) > $int ).
tff(func_def_23,type,
sK11: ( event * fluent ) > $int ).
tff(func_def_24,type,
sK12: fluent ).
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,
sP10: ( $int * $int * fluent * event ) > $o ).
tff(f5,axiom,
! [X0: fluent,X1: $int] :
( ( holdsAt(X0,at_time(X1))
& ~ releasedAt(X0,at_time($sum(X1,1)))
& ~ ? [X2: event] :
( happens(X2,at_time(X1))
& terminates(X2,X0,at_time(X1)) ) )
=> holdsAt(X0,at_time($sum(X1,1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001_0.ax',keep_holding) ).
tff(f25,axiom,
! [X0: event,X1: $int] :
( happens(X0,at_time(X1))
<=> ( ( ( X0 = tapOn )
& ( X1 = 0 ) )
| ( holdsAt(waterLevel(3),at_time(X1))
& holdsAt(filling,at_time(X1))
& ( X0 = overflow ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).
tff(f32,conjecture,
! [X0: fluent] :
( holdsAt(X0,at_time(3))
=> ( releasedAt(X0,at_time(4))
| holdsAt(waterLevel(3),at_time(3))
| holdsAt(X0,at_time(4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',release_hold) ).
tff(f33,negated_conjecture,
~ ! [X0: fluent] :
( holdsAt(X0,at_time(3))
=> ( releasedAt(X0,at_time(4))
| holdsAt(waterLevel(3),at_time(3))
| holdsAt(X0,at_time(4)) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
tff(f50,plain,
! [X0: fluent,X1: $int] :
( holdsAt(X0,at_time($sum(X1,1)))
| ~ holdsAt(X0,at_time(X1))
| releasedAt(X0,at_time($sum(X1,1)))
| ? [X2: event] :
( happens(X2,at_time(X1))
& terminates(X2,X0,at_time(X1)) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f51,plain,
! [X0: fluent,X1: $int] :
( holdsAt(X0,at_time($sum(X1,1)))
| ~ holdsAt(X0,at_time(X1))
| releasedAt(X0,at_time($sum(X1,1)))
| ? [X2: event] :
( happens(X2,at_time(X1))
& terminates(X2,X0,at_time(X1)) ) ),
inference(flattening,[],[f50]) ).
tff(f70,plain,
? [X0: fluent] :
( ~ releasedAt(X0,at_time(4))
& ~ holdsAt(waterLevel(3),at_time(3))
& ~ holdsAt(X0,at_time(4))
& holdsAt(X0,at_time(3)) ),
inference(ennf_transformation,[],[f33]) ).
tff(f71,plain,
? [X0: fluent] :
( ~ releasedAt(X0,at_time(4))
& ~ holdsAt(waterLevel(3),at_time(3))
& ~ holdsAt(X0,at_time(4))
& holdsAt(X0,at_time(3)) ),
inference(flattening,[],[f70]) ).
tff(f84,plain,
! [X0: fluent,X1: $int] :
( happens(sK4(X0,X1),at_time(X1))
| releasedAt(X0,at_time($sum(X1,1)))
| ~ holdsAt(X0,at_time(X1))
| holdsAt(X0,at_time($sum(X1,1))) ),
inference(cnf_transformation,[],[f51]) ).
tff(f136,plain,
! [X0: event,X1: $int] :
( ~ happens(X0,at_time(X1))
| ( 0 = X1 )
| holdsAt(waterLevel(3),at_time(X1)) ),
inference(cnf_transformation,[],[f25]) ).
tff(f149,plain,
holdsAt(sK12,at_time(3)),
inference(cnf_transformation,[],[f71]) ).
tff(f150,plain,
~ holdsAt(sK12,at_time(4)),
inference(cnf_transformation,[],[f71]) ).
tff(f151,plain,
~ holdsAt(waterLevel(3),at_time(3)),
inference(cnf_transformation,[],[f71]) ).
tff(f152,plain,
~ releasedAt(sK12,at_time(4)),
inference(cnf_transformation,[],[f71]) ).
tff(f175,plain,
! [X0: fluent,X1: $int] :
( ~ holdsAt(X0,at_time(X1))
| ~ releasedAt(X0,at_time($sum(X1,1)))
| happens(sK4(X0,X1),at_time(X1))
| holdsAt(X0,at_time($sum(X1,1))) ),
inference(consistent_polarity_flipping,[],[f84]) ).
tff(f217,plain,
releasedAt(sK12,at_time(4)),
inference(consistent_polarity_flipping,[],[f152]) ).
tff(f481,plain,
( ~ releasedAt(sK12,at_time($sum(3,1)))
| happens(sK4(sK12,3),at_time(3))
| holdsAt(sK12,at_time($sum(3,1))) ),
inference(resolution,[],[f175,f149]) ).
tff(f484,plain,
( ~ releasedAt(sK12,at_time(4))
| happens(sK4(sK12,3),at_time(3))
| holdsAt(sK12,at_time(4)) ),
inference(evaluation,[],[f481]) ).
tff(f498,plain,
( happens(sK4(sK12,3),at_time(3))
| holdsAt(sK12,at_time(4)) ),
inference(forward_subsumption_resolution,[],[f484,f217]) ).
tff(f499,plain,
happens(sK4(sK12,3),at_time(3)),
inference(forward_subsumption_resolution,[],[f498,f150]) ).
tff(f581,plain,
( ( 0 = 3 )
| holdsAt(waterLevel(3),at_time(3)) ),
inference(resolution,[],[f499,f136]) ).
tff(f599,plain,
holdsAt(waterLevel(3),at_time(3)),
inference(evaluation,[],[f581]) ).
tff(f618,plain,
$false,
inference(forward_subsumption_resolution,[],[f599,f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR309_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n016.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 00:09:34 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.28 % (4164982)Will run a generic schedule for satisfiability detection.
% 0.19/0.28 % (4164993)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1817388917:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.28 % (4164988)% WARNING: option uhcvi not known.
% 0.19/0.28 % (4164987)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2956444789_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.28 % (4164988)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2587599497:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.28 % (4164990)dis+10_1_sil=32000:sp=arity:random_seed=3110489329:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.28 % (4164989)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=224748544:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.28 % (4164991)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2382458803:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.28 % (4164992)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2821428156:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.28 % (4164987)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.28 % (4164987)Terminated due to inappropriate strategy.
% 0.19/0.28 % (4164987)------------------------------
% 0.19/0.28 % (4164987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (4164987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (4164987)CaDiCaL version: 2.1.3
% 0.19/0.28 % (4164987)Termination reason: Inappropriate
% 0.19/0.28 % (4164987)Time elapsed: 0.003 s
% 0.19/0.28 % (4164987)Peak memory usage: 10 MB
% 0.19/0.28 % (4164987)Instructions burned: 4 (million)
% 0.19/0.28 % (4164987)------------------------------
% 0.19/0.28 % (4164987)------------------------------
% 0.19/0.28 % (4164988) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4164982-4164988"...
% 0.19/0.28 % (4164988)...printing done.
% 0.19/0.28 % (4164988)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Theorem for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (4164988)------------------------------
% 0.19/0.28 % (4164988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (4164988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (4164988)CaDiCaL version: 2.1.3
% 0.19/0.28 % (4164988)Termination reason: Refutation
% 0.19/0.28 % (4164988)Time elapsed: 0.016 s
% 0.19/0.28 % (4164988)Peak memory usage: 12 MB
% 0.19/0.28 % (4164988)Instructions burned: 22 (million)
% 0.19/0.28 % (4164982)Success in time 0.051 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------