%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ139_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n003.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 : Sun Sep 27 08:21:27 AM UTC 2026
% Result : Theorem 3.16s 2.15s
% Output : Refutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 6 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 31 ( 2 ~; 0 |; 0 &; 29 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(beverage_type,type,
beverage: $tType ).
thf(syrup_type,type,
syrup: $tType ).
thf(coffee_decl,type,
coffee: beverage ).
thf(vanilla_syrup_decl,type,
vanilla_syrup: syrup ).
thf(caramel_syrup_decl,type,
caramel_syrup: syrup ).
thf(mixture_decl,type,
mixture:
!>[TA: $tType] : ( TA > syrup > TA ) ).
thf(help_people_stay_awake_decl,type,
help_people_stay_awake: beverage > $o ).
thf(1,conjecture,
vanilla_syrup @ ( caramel_syrup @ ( syrup @ mixture ) ) @ ( coffee @ ( beverage @ mixture ) ) @ help_people_stay_awake,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',caramel_vanilla_coffee_help_people_stay_awake) ).
thf(2,negated_conjecture,
~ ( vanilla_syrup @ ( caramel_syrup @ ( syrup @ mixture ) ) @ ( coffee @ ( beverage @ mixture ) ) @ help_people_stay_awake ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ( vanilla_syrup @ ( caramel_syrup @ ( syrup @ mixture ) ) @ ( coffee @ ( beverage @ mixture ) ) @ help_people_stay_awake ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: syrup] : ( A @ ( coffee @ ( beverage @ mixture ) ) @ help_people_stay_awake ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mixture_of_coffee_help_people_stay_awake) ).
thf(5,plain,
! [A: syrup] : ( A @ ( coffee @ ( beverage @ mixture ) ) @ help_people_stay_awake ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,plain,
$false,
inference(e,[status(thm)],[4,5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ139_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.38 % Computer : n003.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sat Sep 26 05:21:55 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.86/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.29/1.15 % [INFO] Parsing done (174ms).
% 1.29/1.16 % [INFO] Running in sequential loop mode.
% 1.81/1.57 % [INFO] eprover registered as external prover.
% 1.81/1.58 % [INFO] Scanning for conjecture ...
% 2.02/1.68 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.19/1.71 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.19/1.72 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.19/1.73 % [INFO] Type checking passed.
% 2.19/1.74 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.16/2.14 % External prover 'e' found a proof!
% 3.16/2.14 % [INFO] Killing All external provers ...
% 3.16/2.14 % Time passed: 1612ms (effective reasoning time: 973ms)
% 3.16/2.14 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.16/2.14 % Axioms used in derivation (1): mixture_of_coffee_help_people_stay_awake
% 3.16/2.14 % No. of inferences in proof: 6
% 3.16/2.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1612 ms resp. 973 ms w/o parsing
% 3.16/2.18 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.16/2.18 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------