%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ001-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:31:02 PM UTC 2026
% Result : Unsatisfiable 3.47s 1.45s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 45 ( 17 unt; 3 def)
% Number of atoms : 80 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 35 ~; 32 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
lives_at_dreadsbury(someone),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',someone_in_mansion) ).
fof(f2,axiom,
killed(someone,aunt_agatha),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',someone_killed_agatha) ).
fof(f6,axiom,
! [X0] :
( ~ lives_at_dreadsbury(X0)
| X0 = aunt_agatha
| X0 = butler
| X0 = charles ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',noone_else_lives_at_mansion) ).
fof(f7,plain,
! [X0] :
( ~ lives_at_dreadsbury(X0)
| aunt_agatha = X0
| butler = X0
| charles = X0 ),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0,X1] :
( hates(X0,X1)
| ~ killed(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',killer_hates_victim) ).
fof(f9,axiom,
! [X0,X1] :
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',killer_poorer_than_victim) ).
fof(f10,axiom,
! [X0] :
( ~ hates(charles,X0)
| ~ hates(aunt_agatha,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',charles_and_agatha_hate_different_people) ).
fof(f11,axiom,
! [X0] :
( X0 = butler
| hates(aunt_agatha,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agatha_likes_only_butler) ).
fof(f12,plain,
! [X0] :
( hates(aunt_agatha,X0)
| butler = X0 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
! [X0] :
( richer(X0,aunt_agatha)
| hates(butler,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',butler_hates_poor_people) ).
fof(f14,axiom,
! [X0] :
( hates(butler,X0)
| ~ hates(aunt_agatha,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',butler_and_agatha_hate_the_same_people) ).
fof(f15,axiom,
! [X0] : ~ hates(X0,every_one_but(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',noone_hates_everyone) ).
fof(f16,axiom,
aunt_agatha != butler,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agatha_is_not_the_butler) ).
fof(f17,negated_conjecture,
~ killed(aunt_agatha,aunt_agatha),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_agatha_killed_herself) ).
fof(f19,plain,
! [X0] :
( ~ killed(charles,X0)
| ~ hates(aunt_agatha,X0) ),
inference(resolution,[],[f10,f8]) ).
fof(f21,plain,
! [X0] :
( hates(butler,X0)
| ~ killed(X0,aunt_agatha) ),
inference(resolution,[],[f13,f9]) ).
fof(f24,plain,
~ hates(aunt_agatha,every_one_but(butler)),
inference(resolution,[],[f14,f15]) ).
fof(f25,plain,
( someone = aunt_agatha
| someone = butler
| someone = charles ),
inference(resolution,[],[f7,f1]) ).
fof(f30,definition,
( spl0_1
<=> someone = charles ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f32,plain,
( someone = charles
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f34,definition,
( spl0_2
<=> someone = butler ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f36,plain,
( someone = butler
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f38,definition,
( spl0_3
<=> someone = aunt_agatha ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f40,plain,
( someone = aunt_agatha
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f41,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f38,f34,f30]) ).
fof(f42,plain,
( killed(butler,aunt_agatha)
| ~ spl0_2 ),
inference(superposition,[],[f2,f36]) ).
fof(f46,plain,
~ killed(every_one_but(butler),aunt_agatha),
inference(resolution,[],[f21,f15]) ).
fof(f47,plain,
butler = every_one_but(butler),
inference(resolution,[],[f24,f12]) ).
fof(f49,plain,
~ killed(butler,aunt_agatha),
inference(superposition,[],[f46,f47]) ).
fof(f53,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f49,f42]) ).
fof(f54,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f53]) ).
fof(f56,plain,
( killed(aunt_agatha,aunt_agatha)
| ~ spl0_3 ),
inference(superposition,[],[f2,f40]) ).
fof(f58,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f56,f17]) ).
fof(f59,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f58]) ).
fof(f61,plain,
( killed(charles,aunt_agatha)
| ~ spl0_1 ),
inference(superposition,[],[f2,f32]) ).
fof(f64,plain,
( ~ hates(aunt_agatha,aunt_agatha)
| ~ spl0_1 ),
inference(resolution,[],[f61,f19]) ).
fof(f69,plain,
( aunt_agatha = butler
| ~ spl0_1 ),
inference(resolution,[],[f64,f12]) ).
fof(f71,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f69,f16]) ).
fof(f72,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f71]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f41]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f54]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f59]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f72]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s2,s4]) ).
fof(f73,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:29:08 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.47/1.45 % (1367982)Input is clausal, will run a generic CNF schedule.
% 3.47/1.45 % (1367989)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=86061595:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.45 % (1367992)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=408136769:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.45 % (1367987)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2598475860:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.45 % (1367990)lrs+10_1_sil=8000:sp=occurrence:random_seed=3437317842:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.45 % (1367991)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3430635462:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.45 % (1367988)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2724674731:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.45 % (1367991)Refutation not found, incomplete strategy
% 3.47/1.45 % (1367991)------------------------------
% 3.47/1.45 % (1367991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.45 % (1367991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.45 % (1367991)CaDiCaL version: 2.1.3
% 3.47/1.45 % (1367991)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.45 % (1367991)Time elapsed: 0.001 s
% 3.47/1.45 % (1367992)First to succeed.
% 3.47/1.45 % (1367991)Peak memory usage: 87 MB
% 3.47/1.45 % (1367992)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1367982"
% 3.47/1.45 % (1367990)Also succeeded, but the first one will report.
% 3.47/1.45 % (1367993)dis-21_1_sil=8000:lcm=predicate:random_seed=232545321:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.47/1.45 % (1367993)Refutation not found, incomplete strategy
% 3.47/1.45 % (1367993)------------------------------
% 3.47/1.45 % (1367993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.45 % (1367993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.45 % (1367993)CaDiCaL version: 2.1.3
% 3.47/1.45 % (1367993)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.45 % (1367993)Time elapsed: 0.001 s
% 3.47/1.45 % (1367993)Peak memory usage: 88 MB
% 3.47/1.45 % (1367991)------------------------------
% 3.47/1.45 % (1367991)------------------------------
% 3.47/1.45 % (1367993)------------------------------
% 3.47/1.45 % (1367993)------------------------------
% 3.47/1.45 % (1367992)Refutation found. Thanks to Tanya!
% 3.47/1.45 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.46 % (1367992)------------------------------
% 3.47/1.46 % (1367992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.46 % (1367992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.46 % (1367992)CaDiCaL version: 2.1.3
% 3.47/1.46 % (1367992)Termination reason: Refutation
% 3.47/1.46 % (1367992)Time elapsed: 0.004 s
% 3.47/1.46 % (1367992)Peak memory usage: 89 MB
% 3.47/1.46 % (1367992)Instructions burned: 3 (million)
% 3.47/1.46 % (1367992)------------------------------
% 3.47/1.46 % (1367992)------------------------------
% 3.47/1.46 % (1367982)Success in time 0.406 s
% 3.47/1.46 % Vampire exiting
%------------------------------------------------------------------------------