TSTP Solution File: ITP191^1 by Leo-III-SAT---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : ITP191^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n017.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 May 20 22:28:14 EDT 2024

% Result   : ContradictoryAxioms 12.34s 3.66s
% Output   : Refutation 12.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   57
% Syntax   : Number of formulae    :   64 (   9 unt;  55 typ;   0 def)
%            Number of atoms       :    9 (   8 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   21 (   5   ~;   0   |;   0   &;  16   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :   51 (  51 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^   8   !;   2   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(list_P431515740_pi_pi_type,type,
    list_P431515740_pi_pi: $tType ).

thf(set_Pr806375235ubject_type,type,
    set_Pr806375235ubject: $tType ).

thf(set_Pr1780909331reeRes_type,type,
    set_Pr1780909331reeRes: $tType ).

thf(produc1141751126_pi_pi_type,type,
    produc1141751126_pi_pi: $tType ).

thf(produc1359399907ubject_type,type,
    produc1359399907ubject: $tType ).

thf(produc355105483reeRes_type,type,
    produc355105483reeRes: $tType ).

thf(produc214645451ubject_type,type,
    produc214645451ubject: $tType ).

thf(produc1357834675reeRes_type,type,
    produc1357834675reeRes: $tType ).

thf(set_Pr1131282415pi_Rep_type,type,
    set_Pr1131282415pi_Rep: $tType ).

thf(produc971140967t_unit_type,type,
    produc971140967t_unit: $tType ).

thf(produc257012921pi_Rep_type,type,
    produc257012921pi_Rep: $tType ).

thf(produc1777919905pi_Rep_type,type,
    produc1777919905pi_Rep: $tType ).

thf(list_name_noption_pi_type,type,
    list_name_noption_pi: $tType ).

thf(list_P227219501e_name_type,type,
    list_P227219501e_name: $tType ).

thf(set_Pr443758855e_name_type,type,
    set_Pr443758855e_name: $tType ).

thf(produc1998742700t_name_type,type,
    produc1998742700t_name: $tType ).

thf(produc2052722628s_name_type,type,
    produc2052722628s_name: $tType ).

thf(produc140253050ect_pi_type,type,
    produc140253050ect_pi: $tType ).

thf(produc992857746Res_pi_type,type,
    produc992857746Res_pi: $tType ).

thf(set_Pr1834926343_pi_pi_type,type,
    set_Pr1834926343_pi_pi: $tType ).

thf(produc135724498t_name_type,type,
    produc135724498t_name: $tType ).

thf(produc1212344719pi_Rep_type,type,
    produc1212344719pi_Rep: $tType ).

thf(produc546891580t_unit_type,type,
    produc546891580t_unit: $tType ).

thf(produc738223008nit_pi_type,type,
    produc738223008nit_pi: $tType ).

thf(produc1028309998t_unit_type,type,
    produc1028309998t_unit: $tType ).

thf(produc367475239e_name_type,type,
    produc367475239e_name: $tType ).

thf(product_prod_pi_name_type,type,
    product_prod_pi_name: $tType ).

thf(product_prod_name_pi_type,type,
    product_prod_name_pi: $tType ).

thf(product_prod_pi_pi_type,type,
    product_prod_pi_pi: $tType ).

thf(list_Late_subject_type,type,
    list_Late_subject: $tType ).

thf(list_Late_freeRes_type,type,
    list_Late_freeRes: $tType ).

thf(set_Late_subject_type,type,
    set_Late_subject: $tType ).

thf(set_Late_freeRes_type,type,
    set_Late_freeRes: $tType ).

thf(list_Product_unit_type,type,
    list_Product_unit: $tType ).

thf(list_pi_Rep_type,type,
    list_pi_Rep: $tType ).

thf(late_residual_Rep_type,type,
    late_residual_Rep: $tType ).

thf(noption_pi_type,type,
    noption_pi: $tType ).

thf(late_subject_Rep_type,type,
    late_subject_Rep: $tType ).

thf(late_freeRes_Rep_type,type,
    late_freeRes_Rep: $tType ).

thf(set_pi_Rep_type,type,
    set_pi_Rep: $tType ).

thf(list_name_type,type,
    list_name: $tType ).

thf(set_name_type,type,
    set_name: $tType ).

thf(list_pi_type,type,
    list_pi: $tType ).

thf(late_residual_type,type,
    late_residual: $tType ).

thf(late_subject_type,type,
    late_subject: $tType ).

thf(late_freeRes_type,type,
    late_freeRes: $tType ).

thf(set_pi_type,type,
    set_pi: $tType ).

thf(product_unit_type,type,
    product_unit: $tType ).

thf(pi_Rep_type,type,
    pi_Rep: $tType ).

thf(name_type,type,
    name: $tType ).

thf(pi_type,type,
    pi: $tType ).

thf(late_OutputR_type,type,
    late_OutputR: name > name > late_freeRes ).

thf(late_TauR_type,type,
    late_TauR: late_freeRes ).

thf(ab_type,type,
    ab: name ).

thf(x_type,type,
    x: name ).

thf(281,axiom,
    ( ( late_OutputR @ ab @ x )
    = late_TauR ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_cComm1_Ohyps_I9_J) ).

thf(1450,plain,
    ( ( late_OutputR @ ab @ x )
    = late_TauR ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).

thf(1451,plain,
    ( ( late_OutputR @ ab @ x )
    = late_TauR ),
    inference(lifteq,[status(thm)],[1450]) ).

thf(36,axiom,
    ! [A: name,B: name] :
      ( ( late_OutputR @ A @ B )
     != late_TauR ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_216_Late__Semantics_OfreeRes_Odistinct_I1_J) ).

thf(459,plain,
    ! [A: name,B: name] :
      ( ( late_OutputR @ A @ B )
     != late_TauR ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(460,plain,
    ~ ? [A: name,B: name] :
        ( ( late_OutputR @ A @ B )
        = late_TauR ),
    inference(miniscope,[status(thm)],[459]) ).

thf(461,plain,
    ! [B: name,A: name] :
      ( ( late_OutputR @ A @ B )
     != late_TauR ),
    inference(cnf,[status(esa)],[460]) ).

thf(462,plain,
    ! [B: name,A: name] :
      ( ( late_OutputR @ A @ B )
     != late_TauR ),
    inference(lifteq,[status(thm)],[461]) ).

thf(1818,plain,
    $false,
    inference(simplifyReflect,[status(thm)],[1451,462]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP191^1 : TPTP v8.2.0. Released v7.5.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n017.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sat May 18 18:46:54 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 0.97/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.82/1.10  % [INFO] 	 Parsing done (242ms). 
% 1.82/1.11  % [INFO] 	 Running in sequential loop mode. 
% 2.42/1.31  % [INFO] 	 nitpick registered as external prover. 
% 2.42/1.32  % [INFO] 	 Scanning for conjecture ... 
% 2.87/1.43  % [INFO] 	 Found a conjecture (or negated_conjecture) and 361 axioms. Running axiom selection ... 
% 3.28/1.53  % [INFO] 	 Axiom selection finished. Selected 354 axioms (removed 7 axioms). 
% 4.01/1.72  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 4.01/1.74  % [INFO] 	 Type checking passed. 
% 4.01/1.74  % [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 ... 
% 5.20/2.04  % [INFO] 	 [Domain constraints] Detected constraint on product_unit 
% 5.20/2.04  % [INFO] 	 [Domain constraints] dom(product_unit) ⊆ {product_Unity} 
% 5.60/2.11  % [INFO] 	 [Domain constraints] Detected constraint on product_unit 
% 5.60/2.11  % [INFO] 	 [Domain constraints] dom(product_unit) ⊆ {product_Unity} 
% 11.94/3.66  % [INFO] 	 Killing All external provers ... 
% 12.34/3.66  % Time passed: 3131ms (effective reasoning time: 2547ms)
% 12.34/3.66  % Axioms used in derivation (2): fact_1_cComm1_Ohyps_I9_J, fact_216_Late__Semantics_OfreeRes_Odistinct_I1_J
% 12.34/3.66  % No. of inferences in proof: 9
% 12.34/3.66  % SZS status ContradictoryAxioms for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3131 ms resp. 2547 ms w/o parsing
% 12.34/3.68  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.34/3.68  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------