TSTP Solution File: SWV972-1 by Leo-III-SAT---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SWV972-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n026.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 : Tue May 21 05:53:24 EDT 2024

% Result   : Unsatisfiable 17.59s 4.22s
% Output   : Refutation 17.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   31 (  10 unt;  15 typ;   0 def)
%            Number of atoms       :   28 (   1 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  218 (  16   ~;  10   |;   0   &; 192   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   9 con; 0-5 aty)
%            Number of variables   :    6 (   0   ^   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_thesis_____type,type,
    v_thesis____: $o ).

thf(c_List_Olist__all2_type,type,
    c_List_Olist__all2: $i > $i > $i > $i > $i > $o ).

thf(c_TypeRel_Owiden_type,type,
    c_TypeRel_Owiden: $i > $i > $i ).

thf(v_P_type,type,
    v_P: $i ).

thf(tc_prod_type,type,
    tc_prod: $i > $i > $i ).

thf(tc_List_Olist_type,type,
    tc_List_Olist: $i > $i ).

thf(tc_String_Ochar_type,type,
    tc_String_Ochar: $i ).

thf(tc_Expr_Oexp_type,type,
    tc_Expr_Oexp: $i > $i ).

thf(v_Us_____type,type,
    v_Us____: $i ).

thf(tc_Type_Oty_type,type,
    tc_Type_Oty: $i ).

thf(c_WellTypeRT_OWTrts_type,type,
    c_WellTypeRT_OWTrts: $i > $i > $i > $i > $i > $o ).

thf(v_h_Ha_____type,type,
    v_h_Ha____: $i ).

thf(v_E_____type,type,
    v_E____: $i ).

thf(v_es_Ha_____type,type,
    v_es_Ha____: $i ).

thf(v_sko__CHAINED__1_type,type,
    v_sko__CHAINED__1: $i > $i > $i > $i > $i > $i ).

thf(385,axiom,
    c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_Us____ @ v_es_Ha____ @ v_h_Ha____ ) @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).

thf(1372,plain,
    c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_Us____ @ v_es_Ha____ @ v_h_Ha____ ) @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[385]) ).

thf(419,axiom,
    c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_Us____ @ v_es_Ha____ @ v_h_Ha____ ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

thf(1440,plain,
    c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_Us____ @ v_es_Ha____ @ v_h_Ha____ ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[419]) ).

thf(2,negated_conjecture,
    ! [A: $i] :
      ( v_thesis____
      | ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty )
      | ~ ( c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(449,plain,
    ! [A: $i] :
      ( v_thesis____
      | ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty )
      | ~ ( c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(451,plain,
    ! [A: $i] :
      ( v_thesis____
      | ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty )
      | ~ ( c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ A ) ),
    inference(cnf,[status(esa)],[449]) ).

thf(1,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(448,plain,
    ~ v_thesis____,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(450,plain,
    ~ v_thesis____,
    inference(polarity_switch,[status(thm)],[448]) ).

thf(1500,plain,
    ! [A: $i] :
      ( $false
      | ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty )
      | ~ ( c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ A ) ),
    inference(rewrite,[status(thm)],[451,450]) ).

thf(1501,plain,
    ! [A: $i] :
      ( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty )
      | ~ ( c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ A ) ),
    inference(simp,[status(thm)],[1500]) ).

thf(1638,plain,
    ! [A: $i] :
      ( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty )
      | ( ( c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_Us____ @ v_es_Ha____ @ v_h_Ha____ ) )
       != ( c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1440,1501]) ).

thf(1639,plain,
    ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_Us____ @ v_es_Ha____ @ v_h_Ha____ ) @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty ),
    inference(pattern_uni,[status(thm)],[1638:[bind(A,$thf( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_Us____ @ v_es_Ha____ @ v_h_Ha____ ))]]) ).

thf(2444,plain,
    $false,
    inference(rewrite,[status(thm)],[1372,1639]) ).

thf(2445,plain,
    $false,
    inference(simp,[status(thm)],[2444]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV972-1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.16  % Command  : run_Leo-III %s %d
% 0.17/0.37  % Computer : n026.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit : 300
% 0.17/0.37  % WCLimit  : 300
% 0.17/0.37  % DateTime : Sun May 19 06:27:24 EDT 2024
% 0.17/0.37  % CPUTime  : 
% 0.97/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.42/1.08  % [INFO] 	 Parsing done (203ms). 
% 1.74/1.09  % [INFO] 	 Running in sequential loop mode. 
% 2.16/1.29  % [INFO] 	 nitpick registered as external prover. 
% 2.16/1.29  % [INFO] 	 Scanning for conjecture ... 
% 2.62/1.40  % [INFO] 	 Found a conjecture (or negated_conjecture) and 506 axioms. Running axiom selection ... 
% 3.13/1.52  % [INFO] 	 Axiom selection finished. Selected 445 axioms (removed 61 axioms). 
% 3.53/1.66  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 3.53/1.67  % [INFO] 	 Type checking passed. 
% 3.53/1.67  % [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 ... 
% 17.59/4.21  % [INFO] 	 Killing All external provers ... 
% 17.59/4.22  % Time passed: 3682ms (effective reasoning time: 3126ms)
% 17.59/4.22  % Axioms used in derivation (2): cls_CHAINED_1, cls_CHAINED_0
% 17.59/4.22  % No. of inferences in proof: 16
% 17.59/4.22  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3682 ms resp. 3126 ms w/o parsing
% 17.59/4.29  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.59/4.29  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------