%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ139_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:32:35 PM UTC 2026
% Result : Theorem 0.23s 0.50s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 3 ( 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
beverage: $tType ).
tff(type_def_6,type,
syrup: $tType ).
tff(func_def_0,type,
coffee: beverage ).
tff(func_def_1,type,
vanilla_syrup: syrup ).
tff(func_def_2,type,
caramel_syrup: syrup ).
tff(func_def_3,type,
mixture:
!>[X0: $tType] : ( ( X0 * syrup ) > X0 ) ).
tff(pred_def_1,type,
help_people_stay_awake: beverage > $o ).
tff(f1,axiom,
! [X1: syrup] : help_people_stay_awake(mixture(beverage,coffee,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mixture_of_coffee_help_people_stay_awake) ).
tff(f2,conjecture,
help_people_stay_awake(mixture(beverage,coffee,mixture(syrup,caramel_syrup,vanilla_syrup))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',caramel_vanilla_coffee_help_people_stay_awake) ).
tff(f3,negated_conjecture,
~ help_people_stay_awake(mixture(beverage,coffee,mixture(syrup,caramel_syrup,vanilla_syrup))),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,plain,
! [X0: syrup] : help_people_stay_awake(mixture(beverage,coffee,X0)),
inference(rectify,[],[f1]) ).
tff(f5,plain,
~ help_people_stay_awake(mixture(beverage,coffee,mixture(syrup,caramel_syrup,vanilla_syrup))),
inference(flattening,[],[f3]) ).
tff(f6,plain,
! [X0: syrup] : help_people_stay_awake(mixture(beverage,coffee,X0)),
inference(cnf_transformation,[],[f4]) ).
tff(f7,plain,
~ help_people_stay_awake(mixture(beverage,coffee,mixture(syrup,caramel_syrup,vanilla_syrup))),
inference(cnf_transformation,[],[f5]) ).
tff(f8,plain,
$false,
inference(resolution,[],[f6,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ139_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 % Computer : n007.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 22:43:25 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.46 Running first-order model finding
% 0.14/0.46 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.50 % (1847327)Will run a generic schedule for satisfiability detection.
% 0.23/0.50 % (1847335)dis+10_1_sil=32000:sp=arity:random_seed=229742521:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.50 % (1847335) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1847327-1847335"...
% 0.23/0.50 % (1847335)...printing done.
% 0.23/0.50 % (1847332)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2127502118_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.50 % (1847335)Refutation found. Thanks to Tanya!
% 0.23/0.50 % SZS status Theorem for theBenchmark
% 0.23/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.50 % (1847335)------------------------------
% 0.23/0.50 % (1847335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.50 % (1847335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.50 % (1847335)CaDiCaL version: 2.1.3
% 0.23/0.50 % (1847335)Termination reason: Refutation
% 0.23/0.50 % (1847335)Time elapsed: 0.001 s
% 0.23/0.50 % (1847335)Peak memory usage: 11 MB
% 0.23/0.50 % (1847327)Success in time 0.024 s
% 0.23/0.50 % Vampire exiting
%------------------------------------------------------------------------------