%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n007.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 12:31:47 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.50s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 45 ( 18 unt; 3 def)
% Number of atoms : 80 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 34 ~; 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] :
( ~ killed(X0,X1)
| hates(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(f18,plain,
hates(someone,aunt_agatha),
inference(resolution,[],[f8,f2]) ).
fof(f21,plain,
! [X0] :
( ~ killed(X0,aunt_agatha)
| hates(butler,X0) ),
inference(resolution,[],[f13,f9]) ).
fof(f23,plain,
~ hates(aunt_agatha,every_one_but(butler)),
inference(resolution,[],[f14,f15]) ).
fof(f24,plain,
butler = every_one_but(butler),
inference(resolution,[],[f23,f12]) ).
fof(f25,plain,
( someone = aunt_agatha
| someone = butler
| someone = charles ),
inference(resolution,[],[f7,f1]) ).
fof(f27,definition,
( spl0_1
<=> someone = charles ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f29,plain,
( someone = charles
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f31,definition,
( spl0_2
<=> someone = butler ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f33,plain,
( someone = butler
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f35,definition,
( spl0_3
<=> someone = aunt_agatha ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f37,plain,
( someone = aunt_agatha
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f38,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f35,f31,f27]) ).
fof(f42,plain,
hates(butler,someone),
inference(resolution,[],[f21,f2]) ).
fof(f43,plain,
( hates(butler,butler)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f42,f33]) ).
fof(f48,plain,
~ hates(butler,butler),
inference(superposition,[],[f15,f24]) ).
fof(f49,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f48,f43]) ).
fof(f50,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f49]) ).
fof(f54,plain,
( killed(aunt_agatha,aunt_agatha)
| ~ spl0_3 ),
inference(superposition,[],[f2,f37]) ).
fof(f56,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f54,f17]) ).
fof(f57,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f58,plain,
( ! [X0] :
( ~ hates(someone,X0)
| ~ hates(aunt_agatha,X0) )
| ~ spl0_1 ),
inference(superposition,[],[f10,f29]) ).
fof(f60,plain,
( ~ hates(aunt_agatha,aunt_agatha)
| ~ spl0_1 ),
inference(resolution,[],[f58,f18]) ).
fof(f61,plain,
( aunt_agatha = butler
| ~ spl0_1 ),
inference(resolution,[],[f60,f12]) ).
fof(f62,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f61,f16]) ).
fof(f63,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f62]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f38]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f50]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f57]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f63]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s2,s4]) ).
fof(f64,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 SAT
% 0.09/0.43 % Computer : n007.cluster.edu
% 0.09/0.43 % Model : x86_64 x86_64
% 0.09/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.43 % Memory : 8046.5625MB
% 0.09/0.43 % OS : Linux 6.8.0-71-generic
% 0.09/0.43 % CPULimit : 300
% 0.09/0.43 % WCLimit : 300
% 0.09/0.43 % DateTime : Sun Sep 27 22:26:46 UTC 2026
% 0.09/0.43 % CPUTime :
% 0.09/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.46 Running first-order model finding
% 0.13/0.46 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
% 0.13/0.50 % (1832322)Will run a generic schedule for satisfiability detection.
% 0.13/0.50 % (1832331)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1429349953:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.50 % (1832331) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1832322-1832331"...
% 0.13/0.50 % (1832331)...printing done.
% 0.13/0.50 % (1832331)Refutation found. Thanks to Tanya!
% 0.13/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.50 % (1832331)------------------------------
% 0.13/0.50 % (1832331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.50 % (1832331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.50 % (1832331)CaDiCaL version: 2.1.3
% 0.13/0.50 % (1832331)Termination reason: Refutation
% 0.13/0.50 % (1832331)Time elapsed: 0.001 s
% 0.13/0.50 % (1832331)Peak memory usage: 12 MB
% 0.13/0.50 % (1832331)Instructions burned: 2 (million)
% 0.13/0.50 % (1832322)Success in time 0.025 s
% 0.13/0.50 % Vampire exiting
%------------------------------------------------------------------------------