%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ033-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : n019.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 08:21:10 AM UTC 2026
% Result : Unsatisfiable 5.50s 3.32s
% Output : Refutation 5.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 13
% Syntax : Number of formulae : 27 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 65 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 40 ~; 38 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 13 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(window_is_shut_decl,type,
window_is_shut: $o ).
thf(wind_in_east_decl,type,
wind_in_east: $o ).
thf(sunshine_decl,type,
sunshine: $o ).
thf(cold_decl,type,
cold: $o ).
thf(foggy_decl,type,
foggy: $o ).
thf(neighbor_practices_flute_decl,type,
neighbor_practices_flute: $o ).
thf(fire_smokes_decl,type,
fire_smokes: $o ).
thf(door_is_open_decl,type,
door_is_open: $o ).
thf(i_feel_rheumatic_decl,type,
i_feel_rheumatic: $o ).
thf(fire_is_lit_decl,type,
fire_is_lit: $o ).
thf(wind_in_gusts_decl,type,
wind_in_gusts: $o ).
thf(headache_decl,type,
headache: $o ).
thf(6,axiom,
( fire_smokes
| ~ wind_in_gusts
| ~ wind_in_east ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).
thf(24,plain,
( fire_smokes
| ~ wind_in_gusts
| ~ wind_in_east ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,negated_conjecture,
~ window_is_shut,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_window_is_shut) ).
thf(14,plain,
~ window_is_shut,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(4,axiom,
( door_is_open
| ~ fire_smokes ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).
thf(20,plain,
( door_is_open
| ~ fire_smokes ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
( fire_is_lit
| ~ i_feel_rheumatic
| ~ cold ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).
thf(22,plain,
( fire_is_lit
| ~ i_feel_rheumatic
| ~ cold ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
( neighbor_practices_flute
| ~ foggy
| ~ cold ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).
thf(18,plain,
( neighbor_practices_flute
| ~ foggy
| ~ cold ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,axiom,
( sunshine
| ~ wind_in_east ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).
thf(16,plain,
( sunshine
| ~ wind_in_east ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
( ~ headache
| ~ door_is_open ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).
thf(26,plain,
( ~ headache
| ~ door_is_open ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
( window_is_shut
| ~ foggy
| cold
| ~ sunshine ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7) ).
thf(28,plain,
( window_is_shut
| ~ foggy
| cold
| ~ sunshine ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(13,axiom,
wind_in_east,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12) ).
thf(38,plain,
wind_in_east,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(10,axiom,
( foggy
| ~ sunshine ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).
thf(32,plain,
( foggy
| ~ sunshine ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,axiom,
( ~ door_is_open
| ~ neighbor_practices_flute ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
thf(34,plain,
( ~ door_is_open
| ~ neighbor_practices_flute ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(12,axiom,
( i_feel_rheumatic
| ~ wind_in_east
| ~ foggy ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
thf(36,plain,
( i_feel_rheumatic
| ~ wind_in_east
| ~ foggy ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,axiom,
( ~ i_feel_rheumatic
| door_is_open
| ~ fire_is_lit
| wind_in_gusts ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8) ).
thf(30,plain,
( ~ i_feel_rheumatic
| door_is_open
| ~ fire_is_lit
| wind_in_gusts ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(39,plain,
$false,
inference(e,[status(thm)],[24,14,20,22,18,16,26,28,38,32,34,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ033-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.14 % 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
% 0.24/0.49 % Computer : n019.cluster.edu
% 0.24/0.49 % Model : x86_64 x86_64
% 0.24/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.49 % Memory : 8046.5625MB
% 0.24/0.49 % OS : Linux 6.8.0-71-generic
% 0.24/0.49 % CPULimit : 300
% 0.24/0.50 % WCLimit : 300
% 0.24/0.50 % DateTime : Sat Sep 26 05:06:34 UTC 2026
% 0.25/0.50 % CPUTime :
% 0.25/0.50 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
% 1.41/1.39 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.94/1.67 % [INFO] Parsing done (279ms).
% 1.94/1.70 % [INFO] Running in sequential loop mode.
% 3.16/2.33 % [INFO] eprover registered as external prover.
% 3.16/2.34 % [INFO] Scanning for conjecture ...
% 3.37/2.46 % [INFO] Found a conjecture (or negated_conjecture) and 12 axioms. Running axiom selection ...
% 3.53/2.50 % [INFO] Axiom selection finished. Selected 12 axioms (removed 0 axioms).
% 3.53/2.52 % [INFO] Problem is propositional (TPTP CNF).
% 3.53/2.53 % [INFO] Type checking passed.
% 3.53/2.54 % [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 ...
% 5.50/3.31 % External prover 'e' found a proof!
% 5.50/3.31 % [INFO] Killing All external provers ...
% 5.50/3.31 % Time passed: 2599ms (effective reasoning time: 1604ms)
% 5.50/3.31 % Axioms used in derivation (12): c7, c10, c3, c4, c11, c8, c5, c2, c9, c12, c1, c6
% 5.50/3.31 % No. of inferences in proof: 27
% 5.50/3.32 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2599 ms resp. 1604 ms w/o parsing
% 5.50/3.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.50/3.37 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------