%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.15
% Problem  : SWW572_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d SAT

% Computer : n002.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 : Mon Jun 24 18:25:37 EDT 2024

% Result   : Theorem 9.32s 3.26s
% Output   : Refutation 9.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   11 (   3 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   39 (   3   ~;   0   |;   0   &;  36   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;  12 con; 0-5 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(bool_type,type,
    bool: $tType ).

thf(nat_type,type,
    nat: $tType ).

thf(char_type,type,
    char: $tType ).

thf(ty_type,type,
    ty: $tType ).

thf(val_type,type,
    val: $tType ).

thf(class_type,type,
    class: ( list @ char ) > ty ).

thf(wTrt_type,type,
    wTrt: ( list @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ ( product_prod @ ( list @ char ) @ ty ) ) @ ( list @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ ty ) @ ( product_prod @ ty @ ( product_prod @ ( list @ ( list @ char ) ) @ ( exp @ ( list @ char ) ) ) ) ) ) ) ) ) ) ) > ( fun @ nat @ ( option @ ( product_prod @ ( list @ char ) @ ( fun @ ( product_prod @ ( list @ char ) @ ( list @ char ) ) @ ( option @ val ) ) ) ) ) > ( fun @ ( list @ char ) @ ( option @ ty ) ) > ( exp @ ( list @ char ) ) > ty > $o ).

thf(c_type,type,
    c: list @ char ).

thf(e_type,type,
    e: fun @ ( list @ char ) @ ( option @ ty ) ).

thf(p_type,type,
    p: list @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ ( product_prod @ ( list @ char ) @ ty ) ) @ ( list @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ ty ) @ ( product_prod @ ty @ ( product_prod @ ( list @ ( list @ char ) ) @ ( exp @ ( list @ char ) ) ) ) ) ) ) ) ) ) ).

thf(u_type,type,
    u: ty ).

thf(e_a_type,type,
    e_a: exp @ ( list @ char ) ).

thf(h_a_type,type,
    h_a: fun @ nat @ ( option @ ( product_prod @ ( list @ char ) @ ( fun @ ( product_prod @ ( list @ char ) @ ( list @ char ) ) @ ( option @ val ) ) ) ) ).

thf(88,axiom,
    wTrt @ p @ h_a @ e @ e_a @ u,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_wt_092_060_094isub_0621_H) ).

thf(421,plain,
    wTrt @ p @ h_a @ e @ e_a @ u,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(1,conjecture,
    wTrt @ p @ h_a @ e @ e_a @ ( class @ c ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(2,negated_conjecture,
    ~ ( wTrt @ p @ h_a @ e @ e_a @ ( class @ c ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(103,plain,
    ~ ( wTrt @ p @ h_a @ e @ e_a @ ( class @ c ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(76,axiom,
    ( u
    = ( class @ c ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_UClass) ).

thf(368,plain,
    ( u
    = ( class @ c ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(369,plain,
    ( ( class @ c )
    = u ),
    inference(lifteq,[status(thm)],[368]) ).

thf(452,plain,
    ~ ( wTrt @ p @ h_a @ e @ e_a @ u ),
    inference(rewrite,[status(thm)],[103,369]) ).

thf(465,plain,
    $false,
    inference(rewrite,[status(thm)],[421,452]) ).

thf(466,plain,
    $false,
    inference(simp,[status(thm)],[465]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWW572_5 : TPTP v8.2.0. Released v6.0.0.
% 0.06/0.12  % Command  : run_Leo-III %s %d SAT
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jun 19 09:42:40 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.96/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.76/1.09  % [INFO] 	 Parsing done (214ms). 
% 1.76/1.09  % [INFO] 	 Running in sequential loop mode. 
% 2.28/1.30  % [INFO] 	 nitpick registered as external prover. 
% 2.28/1.31  % [INFO] 	 Scanning for conjecture ... 
% 2.87/1.43  % [INFO] 	 Found a conjecture (or negated_conjecture) and 102 axioms. Running axiom selection ... 
% 3.04/1.52  % [INFO] 	 Axiom selection finished. Selected 100 axioms (removed 2 axioms). 
% 3.97/1.73  % [INFO] 	 Problem is typed first-order (TPTP TFF). 
% 4.21/1.75  % [INFO] 	 Type checking passed. 
% 4.21/1.75  % [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 ... 
% 9.32/3.26  % [INFO] 	 Killing All external provers ... 
% 9.32/3.26  % Time passed: 2725ms (effective reasoning time: 2163ms)
% 9.32/3.26  % 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)>
% 9.32/3.26  % Axioms used in derivation (2): fact_1_wt_092_060_094isub_0621_H, fact_0_UClass
% 9.32/3.26  % No. of inferences in proof: 11
% 9.32/3.26  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2725 ms resp. 2163 ms w/o parsing
% 9.32/3.28  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.32/3.28  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------