TSTP Solution File: PUZ033-1 by Leo-III---1.7.7

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : PUZ033-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:47:29 EDT 2023

% Result   : Unsatisfiable 2.63s 1.55s
% Output   : Refutation 2.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   39 (   5 unt;  12 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_type,type,
    window_is_shut: $o ).

thf(wind_in_east_type,type,
    wind_in_east: $o ).

thf(sunshine_type,type,
    sunshine: $o ).

thf(cold_type,type,
    cold: $o ).

thf(foggy_type,type,
    foggy: $o ).

thf(neighbor_practices_flute_type,type,
    neighbor_practices_flute: $o ).

thf(fire_smokes_type,type,
    fire_smokes: $o ).

thf(door_is_open_type,type,
    door_is_open: $o ).

thf(i_feel_rheumatic_type,type,
    i_feel_rheumatic: $o ).

thf(fire_is_lit_type,type,
    fire_is_lit: $o ).

thf(wind_in_gusts_type,type,
    wind_in_gusts: $o ).

thf(headache_type,type,
    headache: $o ).

thf(6,axiom,
    ( ~ wind_in_east
    | ~ wind_in_gusts
    | fire_smokes ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).

thf(24,plain,
    ( ~ wind_in_east
    | ~ wind_in_gusts
    | fire_smokes ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(1,negated_conjecture,
    ~ window_is_shut,
    file('/export/starexec/sandbox2/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,
    ( ~ fire_smokes
    | door_is_open ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).

thf(20,plain,
    ( ~ fire_smokes
    | door_is_open ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(5,axiom,
    ( ~ cold
    | ~ i_feel_rheumatic
    | fire_is_lit ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).

thf(22,plain,
    ( ~ cold
    | ~ i_feel_rheumatic
    | fire_is_lit ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(3,axiom,
    ( ~ cold
    | ~ foggy
    | neighbor_practices_flute ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).

thf(18,plain,
    ( ~ cold
    | ~ foggy
    | neighbor_practices_flute ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(2,axiom,
    ( ~ wind_in_east
    | sunshine ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).

thf(16,plain,
    ( ~ wind_in_east
    | sunshine ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(7,axiom,
    ( ~ door_is_open
    | ~ headache ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).

thf(26,plain,
    ( ~ door_is_open
    | ~ headache ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(8,axiom,
    ( ~ sunshine
    | cold
    | ~ foggy
    | window_is_shut ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).

thf(28,plain,
    ( ~ sunshine
    | cold
    | ~ foggy
    | window_is_shut ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(13,axiom,
    wind_in_east,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c12) ).

thf(38,plain,
    wind_in_east,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(10,axiom,
    ( ~ sunshine
    | foggy ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).

thf(32,plain,
    ( ~ sunshine
    | foggy ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(11,axiom,
    ( ~ neighbor_practices_flute
    | ~ door_is_open ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).

thf(34,plain,
    ( ~ neighbor_practices_flute
    | ~ door_is_open ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(12,axiom,
    ( ~ foggy
    | ~ wind_in_east
    | i_feel_rheumatic ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).

thf(36,plain,
    ( ~ foggy
    | ~ wind_in_east
    | i_feel_rheumatic ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(9,axiom,
    ( wind_in_gusts
    | ~ fire_is_lit
    | door_is_open
    | ~ i_feel_rheumatic ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c8) ).

thf(30,plain,
    ( wind_in_gusts
    | ~ fire_is_lit
    | door_is_open
    | ~ i_feel_rheumatic ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(41,plain,
    $false,
    inference(e,[status(thm)],[24,14,20,22,18,16,26,28,38,32,34,36,30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ033-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu May 18 19:57:43 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.97/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.25/0.97  % [INFO] 	 Parsing done (109ms). 
% 1.25/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.64/1.18  % [INFO] 	 eprover registered as external prover. 
% 1.64/1.19  % [INFO] 	 cvc4 registered as external prover. 
% 1.64/1.19  % [INFO] 	 Scanning for conjecture ... 
% 1.74/1.23  % [INFO] 	 Found a conjecture and 12 axioms. Running axiom selection ... 
% 1.86/1.25  % [INFO] 	 Axiom selection finished. Selected 12 axioms (removed 0 axioms). 
% 1.86/1.26  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.86/1.26  % [INFO] 	 Type checking passed. 
% 1.86/1.26  % [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 ... 
% 2.63/1.55  % External prover 'e' found a proof!
% 2.63/1.55  % [INFO] 	 Killing All external provers ... 
% 2.63/1.55  % Time passed: 1023ms (effective reasoning time: 570ms)
% 2.63/1.55  % 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)>
% 2.63/1.55  % Axioms used in derivation (12): c7, c10, c3, c4, c11, c8, c5, c2, c9, c12, c1, c6
% 2.63/1.55  % No. of inferences in proof: 27
% 2.63/1.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1023 ms resp. 570 ms w/o parsing
% 2.63/1.58  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.63/1.58  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------