%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ001+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 : Theorem 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 13 unt; 0 def)
% Number of atoms : 73 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 28 ~; 26 |; 2 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 34 ( 32 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
( lives(X0)
& killed(X0,agatha) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_1) ).
fof(f5,axiom,
! [X0] :
( lives(X0)
=> ( X0 = agatha
| X0 = butler
| X0 = charles ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_3) ).
fof(f6,axiom,
! [X0,X1] :
( killed(X0,X1)
=> hates(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_4) ).
fof(f7,axiom,
! [X0,X1] :
( killed(X0,X1)
=> ~ richer(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_5) ).
fof(f8,axiom,
! [X0] :
( hates(agatha,X0)
=> ~ hates(charles,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_6) ).
fof(f9,axiom,
! [X0] :
( X0 != butler
=> hates(agatha,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_7) ).
fof(f10,axiom,
! [X0] :
( ~ richer(X0,agatha)
=> hates(butler,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_8) ).
fof(f11,axiom,
! [X0] :
( hates(agatha,X0)
=> hates(butler,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_9) ).
fof(f12,axiom,
! [X0] :
? [X1] : ~ hates(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_10) ).
fof(f13,axiom,
agatha != butler,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55_11) ).
fof(f14,conjecture,
killed(agatha,agatha),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel55) ).
fof(f15,negated_conjecture,
~ killed(agatha,agatha),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
~ killed(agatha,agatha),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0] :
( X0 = agatha
| X0 = butler
| X0 = charles
| ~ lives(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f18,plain,
! [X0] :
( X0 = agatha
| X0 = butler
| X0 = charles
| ~ lives(X0) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( hates(X0,X1)
| ~ killed(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f20,plain,
! [X0,X1] :
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f21,plain,
! [X0] :
( ~ hates(charles,X0)
| ~ hates(agatha,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f22,plain,
! [X0] :
( hates(agatha,X0)
| butler = X0 ),
inference(ennf_transformation,[],[f9]) ).
fof(f23,plain,
! [X0] :
( hates(butler,X0)
| richer(X0,agatha) ),
inference(ennf_transformation,[],[f10]) ).
fof(f24,plain,
! [X0] :
( hates(butler,X0)
| ~ hates(agatha,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f25,plain,
( lives(sK0)
& killed(sK0,agatha) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).
fof(f26,plain,
! [X0] : ~ hates(X0,sK1(X0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f12]) ).
fof(f27,plain,
killed(sK0,agatha),
inference(cnf_transformation,[],[f25]) ).
fof(f28,plain,
lives(sK0),
inference(cnf_transformation,[],[f25]) ).
fof(f32,plain,
! [X0] :
( agatha = X0
| butler = X0
| charles = X0
| ~ lives(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X0,X1] :
( hates(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f34,plain,
! [X0,X1] :
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f35,plain,
! [X0] :
( ~ hates(charles,X0)
| ~ hates(agatha,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f36,plain,
! [X0] :
( hates(agatha,X0)
| butler = X0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0] :
( hates(butler,X0)
| richer(X0,agatha) ),
inference(cnf_transformation,[],[f23]) ).
fof(f38,plain,
! [X0] :
( hates(butler,X0)
| ~ hates(agatha,X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f39,plain,
! [X0] : ~ hates(X0,sK1(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f40,plain,
agatha != butler,
inference(cnf_transformation,[],[f13]) ).
fof(f41,plain,
~ killed(agatha,agatha),
inference(cnf_transformation,[],[f16]) ).
fof(f42,plain,
~ lives(sK0),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f43,plain,
! [X0] :
( agatha = X0
| butler = X0
| charles = X0
| lives(X0) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f59,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f42,f27,f43,f33,f34,f35,f36,f37,f38,f39,f40,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ001+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n011.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:27:30 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.10/0.46 % (2819074)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (2819079)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3698237374_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % TRYING [4]
% 0.10/0.46 % TRYING [5]
% 0.10/0.46 % TRYING [6]
% 0.10/0.46 % (2819079) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2819074-2819079"...
% 0.10/0.46 % (2819080)% WARNING: option uhcvi not known.
% 0.10/0.46 % (2819079)...printing done.
% 0.10/0.46 % (2819079)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Theorem for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (2819079)------------------------------
% 0.10/0.46 % (2819079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (2819079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (2819079)CaDiCaL version: 2.1.3
% 0.10/0.46 % (2819079)Termination reason: Refutation
% 0.10/0.46 % (2819079)Time elapsed: 0.002 s
% 0.10/0.46 % (2819079)Peak memory usage: 11 MB
% 0.10/0.46 % (2819079)Instructions burned: 6 (million)
% 0.10/0.46 % (2819074)Success in time 0.034 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------