%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ029-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n002.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 08:21:08 AM UTC 2026
% Result : Unsatisfiable 2.80s 1.51s
% Output : Refutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 15
% Syntax : Number of formulae : 31 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 73 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 152 ( 38 ~; 42 |; 0 &; 72 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 2 con; 0-1 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(balloonist_decl,type,
balloonist: $i > $o ).
thf(piggy_decl,type,
piggy: $i ).
thf(dances_on_tightropes_decl,type,
dances_on_tightropes: $i > $o ).
thf(eats_pennybuns_decl,type,
eats_pennybuns: $i > $o ).
thf(old_decl,type,
old: $i > $o ).
thf(pig_decl,type,
pig: $i > $o ).
thf(liable_to_giddiness_decl,type,
liable_to_giddiness: $i > $o ).
thf(treated_with_respect_decl,type,
treated_with_respect: $i > $o ).
thf(wise_decl,type,
wise: $i > $o ).
thf(has_umbrella_decl,type,
has_umbrella: $i > $o ).
thf(looks_ridiculous_decl,type,
looks_ridiculous: $i > $o ).
thf(eats_lunch_in_public_decl,type,
eats_lunch_in_public: $i > $o ).
thf(young_decl,type,
young: $i > $o ).
thf(fat_decl,type,
fat: $i > $o ).
thf(8,axiom,
! [A: $i] :
( ~ ( A @ dances_on_tightropes )
| ~ ( A @ wise )
| ~ ( A @ liable_to_giddiness ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wise_giddy_dont_dance_on_tightrope) ).
thf(29,plain,
! [A: $i] :
( ~ ( A @ dances_on_tightropes )
| ~ ( A @ wise )
| ~ ( A @ liable_to_giddiness ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(15,axiom,
piggy @ pig,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',piggy_is_a_pig) ).
thf(41,plain,
piggy @ pig,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(2,axiom,
! [A: $i] :
( ( A @ old )
| ( A @ eats_pennybuns )
| ( A @ dances_on_tightropes ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boring_old_people) ).
thf(17,plain,
! [A: $i] :
( ( A @ old )
| ( A @ eats_pennybuns )
| ( A @ dances_on_tightropes ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ eats_lunch_in_public )
| ( A @ dances_on_tightropes )
| ~ ( A @ looks_ridiculous )
| ~ ( A @ fat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fat_ridiculous_off_tightrope_eat_in_public) ).
thf(27,plain,
! [A: $i] :
( ( A @ eats_lunch_in_public )
| ( A @ dances_on_tightropes )
| ~ ( A @ looks_ridiculous )
| ~ ( A @ fat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(13,axiom,
piggy @ wise,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',piggy_is_wise) ).
thf(39,plain,
piggy @ wise,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ old )
| ( A @ young ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',young_or_old) ).
thf(35,plain,
! [A: $i] :
( ( A @ old )
| ( A @ young ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ treated_with_respect )
| ~ ( A @ liable_to_giddiness )
| ~ ( A @ pig ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',giddy_pigs_reated_with_respect) ).
thf(19,plain,
! [A: $i] :
( ( A @ treated_with_respect )
| ~ ( A @ liable_to_giddiness )
| ~ ( A @ pig ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(12,axiom,
! [A: $i] :
( ~ ( A @ old )
| ~ ( A @ young ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_young_and_old) ).
thf(37,plain,
! [A: $i] :
( ~ ( A @ old )
| ~ ( A @ young ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ liable_to_giddiness )
| ~ ( A @ young )
| ~ ( A @ balloonist ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',young_balloonists_get_giddy) ).
thf(25,plain,
! [A: $i] :
( ( A @ liable_to_giddiness )
| ~ ( A @ young )
| ~ ( A @ balloonist ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ has_umbrella )
| ~ ( A @ balloonist )
| ~ ( A @ wise ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wise_ballonists_have_umbrellas) ).
thf(21,plain,
! [A: $i] :
( ( A @ has_umbrella )
| ~ ( A @ balloonist )
| ~ ( A @ wise ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ fat )
| ~ ( A @ treated_with_respect )
| ( A @ dances_on_tightropes ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',non_dancers_who_are_respected_are_fat) ).
thf(33,plain,
! [A: $i] :
( ( A @ fat )
| ~ ( A @ treated_with_respect )
| ( A @ dances_on_tightropes ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,negated_conjecture,
piggy @ balloonist,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_piggy_is_no_balloonist) ).
thf(16,plain,
piggy @ balloonist,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ looks_ridiculous )
| ~ ( A @ has_umbrella )
| ~ ( A @ pig ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigs_look_ridiculous_with_umbrellas) ).
thf(31,plain,
! [A: $i] :
( ( A @ looks_ridiculous )
| ~ ( A @ has_umbrella )
| ~ ( A @ pig ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(14,axiom,
piggy @ young,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',piggy_is_young) ).
thf(40,plain,
piggy @ young,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(5,axiom,
! [A: $i] :
( ~ ( A @ eats_lunch_in_public )
| ~ ( A @ eats_pennybuns )
| ~ ( A @ looks_ridiculous ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dont_look_ridiculous_eating_buns_in_public) ).
thf(23,plain,
! [A: $i] :
( ~ ( A @ eats_lunch_in_public )
| ~ ( A @ eats_pennybuns )
| ~ ( A @ looks_ridiculous ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(42,plain,
$false,
inference(e,[status(thm)],[29,41,17,27,39,35,19,37,25,21,33,16,31,40,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ029-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.14/0.39 % Computer : n002.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sat Sep 26 05:08:35 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.72/0.70 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.72/0.79 % [INFO] Parsing done (95ms).
% 0.97/0.80 % [INFO] Running in sequential loop mode.
% 1.22/0.99 % [INFO] eprover registered as external prover.
% 1.22/0.99 % [INFO] Scanning for conjecture ...
% 1.49/1.03 % [INFO] Found a conjecture (or negated_conjecture) and 14 axioms. Running axiom selection ...
% 1.49/1.05 % [INFO] Axiom selection finished. Selected 14 axioms (removed 0 axioms).
% 1.49/1.06 % [INFO] Problem is propositional (TPTP CNF).
% 1.49/1.06 % [INFO] Type checking passed.
% 1.49/1.06 % [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 ...
% 2.80/1.50 % External prover 'e' found a proof!
% 2.80/1.50 % [INFO] Killing All external provers ...
% 2.80/1.50 % Time passed: 1015ms (effective reasoning time: 698ms)
% 2.80/1.50 % Axioms used in derivation (14): piggy_is_young, not_young_and_old, pigs_look_ridiculous_with_umbrellas, dont_look_ridiculous_eating_buns_in_public, piggy_is_a_pig, wise_ballonists_have_umbrellas, young_or_old, non_dancers_who_are_respected_are_fat, piggy_is_wise, fat_ridiculous_off_tightrope_eat_in_public, boring_old_people, young_balloonists_get_giddy, wise_giddy_dont_dance_on_tightrope, giddy_pigs_reated_with_respect
% 2.80/1.50 % No. of inferences in proof: 31
% 2.80/1.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1015 ms resp. 698 ms w/o parsing
% 2.80/1.56 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.80/1.56 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------