TSTP Solution File: PUZ001-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:44:49 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 17 unt; 0 def)
% Number of atoms : 43 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f105,plain,
$false,
inference(subsumption_resolution,[],[f88,f84]) ).
fof(f84,plain,
killed(someone,someone),
inference(superposition,[],[f2,f83]) ).
fof(f83,plain,
someone = aunt_agatha,
inference(subsumption_resolution,[],[f79,f2]) ).
fof(f79,plain,
( ~ killed(someone,aunt_agatha)
| someone = aunt_agatha ),
inference(superposition,[],[f44,f67]) ).
fof(f67,plain,
( someone = butler
| someone = aunt_agatha ),
inference(subsumption_resolution,[],[f64,f2]) ).
fof(f64,plain,
( ~ killed(someone,aunt_agatha)
| someone = butler
| someone = aunt_agatha ),
inference(superposition,[],[f24,f63]) ).
fof(f63,plain,
( someone = charles
| someone = butler
| someone = aunt_agatha ),
inference(resolution,[],[f6,f1]) ).
fof(f1,axiom,
lives_at_dreadsbury(someone),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',someone_in_mansion) ).
fof(f6,axiom,
! [X0] :
( ~ lives_at_dreadsbury(X0)
| charles = X0
| butler = X0
| aunt_agatha = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noone_else_lives_at_mansion) ).
fof(f24,plain,
~ killed(charles,aunt_agatha),
inference(unit_resulting_resolution,[],[f23,f7]) ).
fof(f7,axiom,
! [X2,X1] :
( ~ killed(X1,X2)
| hates(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',killer_hates_victim) ).
fof(f23,plain,
~ hates(charles,aunt_agatha),
inference(unit_resulting_resolution,[],[f20,f9]) ).
fof(f9,axiom,
! [X0] :
( ~ hates(charles,X0)
| ~ hates(aunt_agatha,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',charles_and_agatha_hate_different_people) ).
fof(f20,plain,
hates(aunt_agatha,aunt_agatha),
inference(unit_resulting_resolution,[],[f14,f10]) ).
fof(f10,axiom,
! [X0] :
( hates(aunt_agatha,X0)
| butler = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_likes_only_butler) ).
fof(f14,axiom,
aunt_agatha != butler,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_is_not_the_butler) ).
fof(f44,plain,
~ killed(butler,aunt_agatha),
inference(superposition,[],[f34,f40]) ).
fof(f40,plain,
butler = every_one_but(butler),
inference(unit_resulting_resolution,[],[f36,f10]) ).
fof(f36,plain,
~ hates(aunt_agatha,every_one_but(butler)),
inference(unit_resulting_resolution,[],[f13,f12]) ).
fof(f12,axiom,
! [X0] :
( ~ hates(aunt_agatha,X0)
| hates(butler,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler_and_agatha_hate_the_same_people) ).
fof(f13,axiom,
! [X0] : ~ hates(X0,every_one_but(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noone_hates_everyone) ).
fof(f34,plain,
~ killed(every_one_but(butler),aunt_agatha),
inference(unit_resulting_resolution,[],[f30,f8]) ).
fof(f8,axiom,
! [X2,X1] :
( ~ richer(X1,X2)
| ~ killed(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',killer_poorer_than_victim) ).
fof(f30,plain,
richer(every_one_but(butler),aunt_agatha),
inference(unit_resulting_resolution,[],[f13,f11]) ).
fof(f11,axiom,
! [X0] :
( richer(X0,aunt_agatha)
| hates(butler,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler_hates_poor_people) ).
fof(f2,axiom,
killed(someone,aunt_agatha),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',someone_killed_agatha) ).
fof(f88,plain,
~ killed(someone,someone),
inference(superposition,[],[f15,f83]) ).
fof(f15,axiom,
~ killed(aunt_agatha,aunt_agatha),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_agatha_killed_herself) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PUZ001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 02:21:18 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (23156)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (23162)WARNING: value z3 for option sas not known
% 0.14/0.38 % (23163)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (23160)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (23159)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (23162)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (23166)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (23165)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (23164)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 % (23166)First to succeed.
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (23165)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (23163)Also succeeded, but the first one will report.
% 0.14/0.38 % (23166)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (23166)------------------------------
% 0.14/0.39 % (23166)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (23166)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (23166)Memory used [KB]: 761
% 0.14/0.39 % (23166)Time elapsed: 0.005 s
% 0.14/0.39 % (23166)Instructions burned: 5 (million)
% 0.14/0.39 % (23166)------------------------------
% 0.14/0.39 % (23166)------------------------------
% 0.14/0.39 % (23156)Success in time 0.021 s
%------------------------------------------------------------------------------