%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ146^1 : TPTP v9.3.1. Released v6.4.0.
% 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 : n008.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 : Wed Sep 30 08:20:50 AM UTC 2026
% Result : Theorem 4.58s 2.82s
% Output : Refutation 4.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 16 unt; 0 typ; 2 def)
% Number of atoms : 32 ( 13 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 15 ~; 0 |; 4 &; 16 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(hobby_type,type,
hobby: $tType ).
thf(earthling_type,type,
earthling: $tType ).
thf(peter_decl,type,
peter: earthling ).
thf(mary_decl,type,
mary: earthling ).
thf(beer_drinking_decl,type,
beer_drinking: hobby ).
thf(belly_dancing_decl,type,
belly_dancing: hobby ).
thf(weight_lifting_decl,type,
weight_lifting: hobby ).
thf(has_hobby_decl,type,
has_hobby: earthling > hobby > $o ).
thf(peters_hobbies_decl,type,
peters_hobbies: hobby > $o ).
thf(marys_hobbies_decl,type,
marys_hobbies: hobby > $o ).
thf(peters_hobbies_def,definition,
( peters_hobbies
= ( has_hobby @ peter ) ) ).
thf(marys_hobbies_def,definition,
( marys_hobbies
= ( has_hobby @ mary ) ) ).
thf(6,axiom,
~ ( marys_hobbies @ beer_drinking ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mary_does_not_do_beer_drinking) ).
thf(24,plain,
~ ( has_hobby @ mary @ beer_drinking ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
peters_hobbies != marys_hobbies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',peter_and_mary_have_different_hobbies) ).
thf(2,negated_conjecture,
~ ( ( peters_hobbies != marys_hobbies ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( ( ( has_hobby @ peter )
!= ( has_hobby @ mary ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,axiom,
peters_hobbies @ weight_lifting,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',peter_does_weight_lifting) ).
thf(27,plain,
has_hobby @ peter @ weight_lifting,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
peter != mary,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_the_same_1) ).
thf(12,plain,
peter != mary,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
( ( beer_drinking != belly_dancing )
& ( belly_dancing != weight_lifting )
& ( beer_drinking != weight_lifting ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_the_same_2) ).
thf(15,plain,
( ( beer_drinking != belly_dancing )
& ( belly_dancing != weight_lifting )
& ( beer_drinking != weight_lifting ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
peters_hobbies @ beer_drinking,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',peter_does_beer_drinking) ).
thf(26,plain,
has_hobby @ peter @ beer_drinking,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
marys_hobbies @ belly_dancing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mary_does_belly_dancing) ).
thf(23,plain,
has_hobby @ mary @ belly_dancing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(28,plain,
$false,
inference(e,[status(thm)],[24,9,27,12,15,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ146^1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.08 % 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
% 0.09/0.21 % Computer : n008.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 13:28:09 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 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
% 1.09/0.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.57/1.25 % [INFO] Parsing done (274ms).
% 1.57/1.28 % [INFO] Running in sequential loop mode.
% 2.43/1.87 % [INFO] eprover registered as external prover.
% 2.43/1.88 % [INFO] Scanning for conjecture ...
% 2.63/2.01 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.63/2.05 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 2.86/2.06 % [INFO] Problem is higher-order (TPTP THF).
% 2.86/2.07 % [INFO] Type checking passed.
% 2.86/2.07 % [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 ...
% 4.58/2.81 % External prover 'e' found a proof!
% 4.58/2.81 % [INFO] Killing All external provers ...
% 4.58/2.82 % Time passed: 2462ms (effective reasoning time: 1532ms)
% 4.58/2.82 % 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)>
% 4.58/2.82 % Axioms used in derivation (6): not_the_same_1, peter_does_weight_lifting, not_the_same_2, peter_does_beer_drinking, mary_does_belly_dancing, mary_does_not_do_beer_drinking
% 4.58/2.82 % No. of inferences in proof: 16
% 4.58/2.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2462 ms resp. 1532 ms w/o parsing
% 4.58/2.87 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.58/2.87 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------