%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.15
% Problem  : SWW551_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d SAT

% Computer : n023.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 18:25:35 EDT 2024

% Result   : Theorem 7.26s 2.71s
% Output   : Refutation 7.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   15 (   7 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   52 (   3   ~;   0   |;   0   &;  49   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Number of types       :    5 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   7 con; 0-4 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(new_Addr_type,type,
    new_Addr: ( fun @ nat @ ( option @ ( product_prod @ ( list @ char ) @ ( fun @ ( product_prod @ ( list @ char ) @ ( list @ char ) ) @ ( option @ val ) ) ) ) ) > ( option @ nat ) ).

thf(some_type,type,
    some: 
      !>[TA: $tType] : ( fun @ TA @ ( option @ TA ) ) ).

thf(aa_type,type,
    aa: 
      !>[TA: $tType,TB: $tType] : ( ( fun @ TB @ TA ) > TB > TA ) ).

thf(a_type,type,
    a: nat ).

thf(ha_type,type,
    ha: fun @ nat @ ( option @ ( product_prod @ ( list @ char ) @ ( fun @ ( product_prod @ ( list @ char ) @ ( list @ char ) ) @ ( option @ val ) ) ) ) ).

thf(77,axiom,
    ( ( new_Addr @ ha )
    = ( aa @ nat @ ( option @ nat ) @ ( some @ nat ) @ a ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_RedNew_I1_J) ).

thf(389,plain,
    ( ( new_Addr @ ha )
    = ( aa @ nat @ ( option @ nat ) @ ( some @ nat ) @ a ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(390,plain,
    ( ( new_Addr @ ha )
    = ( aa @ nat @ ( option @ nat ) @ ( some @ nat ) @ a ) ),
    inference(lifteq,[status(thm)],[389]) ).

thf(1,conjecture,
    ( ( new_Addr @ ha )
    = ( aa @ nat @ ( option @ nat ) @ ( some @ nat ) @ a ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(2,negated_conjecture,
    ( ( new_Addr @ ha )
   != ( aa @ nat @ ( option @ nat ) @ ( some @ nat ) @ a ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(119,plain,
    ( ( new_Addr @ ha )
   != ( aa @ nat @ ( option @ nat ) @ ( some @ nat ) @ a ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(120,plain,
    ( ( new_Addr @ ha )
   != ( aa @ nat @ ( option @ nat ) @ ( some @ nat ) @ a ) ),
    inference(lifteq,[status(thm)],[119]) ).

thf(569,plain,
    $false,
    inference(simplifyReflect,[status(thm)],[390,120]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWW551_5 : TPTP v8.2.0. Released v6.0.0.
% 0.12/0.12  % Command  : run_Leo-III %s %d SAT
% 0.12/0.33  % Computer : n023.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jun 19 04:27:10 EDT 2024
% 0.19/0.34  % CPUTime  : 
% 0.96/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.54/1.08  % [INFO] 	 Parsing done (201ms). 
% 1.54/1.09  % [INFO] 	 Running in sequential loop mode. 
% 2.25/1.30  % [INFO] 	 nitpick registered as external prover. 
% 2.25/1.30  % [INFO] 	 Scanning for conjecture ... 
% 2.78/1.42  % [INFO] 	 Found a conjecture (or negated_conjecture) and 116 axioms. Running axiom selection ... 
% 2.87/1.50  % [INFO] 	 Axiom selection finished. Selected 116 axioms (removed 0 axioms). 
% 3.87/1.67  % [INFO] 	 Problem is typed first-order (TPTP TFF). 
% 3.93/1.69  % [INFO] 	 Type checking passed. 
% 3.93/1.69  % [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 ... 
% 7.26/2.70  % [INFO] 	 Killing All external provers ... 
% 7.26/2.71  % Time passed: 2162ms (effective reasoning time: 1611ms)
% 7.26/2.71  % 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)>
% 7.26/2.71  % Axioms used in derivation (1): fact_0_RedNew_I1_J
% 7.26/2.71  % No. of inferences in proof: 8
% 7.26/2.71  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2162 ms resp. 1611 ms w/o parsing
% 7.26/2.72  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.26/2.72  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------