TSTP Solution File: KRS139+1 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : KRS139+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n020.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 23:18:31 EDT 2024

% Result   : Theorem 2.83s 1.59s
% Output   : Refutation 2.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   23 (   7 unt;   7 typ;   0 def)
%            Number of atoms       :   44 (   0 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   94 (  14   ~;   0   |;  19   &;  52   @)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cowlThing_type,type,
    cowlThing: $i > $o ).

thf(cowlNothing_type,type,
    cowlNothing: $i > $o ).

thf(xsd_string_type,type,
    xsd_string: $i > $o ).

thf(xsd_integer_type,type,
    xsd_integer: $i > $o ).

thf(iAntwerp_type,type,
    iAntwerp: $i ).

thf(rpath_type,type,
    rpath: $i > $i > $o ).

thf(iGhent_type,type,
    iGhent: $i ).

thf(5,axiom,
    ! [A: $i,B: $i] :
      ( ( rpath @ A @ B )
     => ( rpath @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

thf(25,plain,
    ! [A: $i,B: $i] :
      ( ( rpath @ A @ B )
     => ( rpath @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(7,axiom,
    cowlThing @ iGhent,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

thf(28,plain,
    cowlThing @ iGhent,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(1,conjecture,
    ( ! [A: $i] :
        ( ( cowlThing @ A )
        & ~ ( cowlNothing @ A ) )
    & ! [A: $i] :
        ( ( xsd_string @ A )
      <=> ~ ( xsd_integer @ A ) )
    & ( cowlThing @ iAntwerp )
    & ( rpath @ iAntwerp @ iGhent )
    & ( cowlThing @ iGhent ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

thf(2,negated_conjecture,
    ~ ( ! [A: $i] :
          ( ( cowlThing @ A )
          & ~ ( cowlNothing @ A ) )
      & ! [A: $i] :
          ( ( xsd_string @ A )
        <=> ~ ( xsd_integer @ A ) )
      & ( cowlThing @ iAntwerp )
      & ( rpath @ iAntwerp @ iGhent )
      & ( cowlThing @ iGhent ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(9,plain,
    ~ ( ! [A: $i] :
          ( ( cowlThing @ A )
          & ~ ( cowlNothing @ A ) )
      & ! [A: $i] :
          ( ( ( xsd_string @ A )
           => ~ ( xsd_integer @ A ) )
          & ( ~ ( xsd_integer @ A )
           => ( xsd_string @ A ) ) )
      & ( cowlThing @ iAntwerp )
      & ( rpath @ iAntwerp @ iGhent )
      & ( cowlThing @ iGhent ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(6,axiom,
    cowlThing @ iAntwerp,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

thf(27,plain,
    cowlThing @ iAntwerp,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ( cowlThing @ A )
      & ~ ( cowlNothing @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

thf(15,plain,
    ! [A: $i] :
      ( ( cowlThing @ A )
      & ~ ( cowlNothing @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(4,axiom,
    ! [A: $i] :
      ( ( xsd_string @ A )
    <=> ~ ( xsd_integer @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

thf(20,plain,
    ! [A: $i] :
      ( ( ( xsd_string @ A )
       => ~ ( xsd_integer @ A ) )
      & ( ~ ( xsd_integer @ A )
       => ( xsd_string @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(8,axiom,
    rpath @ iGhent @ iAntwerp,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

thf(29,plain,
    rpath @ iGhent @ iAntwerp,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(32,plain,
    $false,
    inference(e,[status(thm)],[25,28,9,27,15,20,29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : KRS139+1 : TPTP v8.2.0. Released v3.1.0.
% 0.08/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.38  % Computer : n020.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit : 300
% 0.16/0.38  % WCLimit  : 300
% 0.16/0.38  % DateTime : Sat May 18 22:18:24 EDT 2024
% 0.16/0.38  % CPUTime  : 
% 0.94/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.14/0.97  % [INFO] 	 Parsing done (93ms). 
% 1.14/0.97  % [INFO] 	 Running in sequential loop mode. 
% 1.61/1.17  % [INFO] 	 eprover registered as external prover. 
% 1.61/1.18  % [INFO] 	 cvc4 registered as external prover. 
% 1.61/1.18  % [INFO] 	 Scanning for conjecture ... 
% 1.61/1.23  % [INFO] 	 Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ... 
% 1.81/1.25  % [INFO] 	 Axiom selection finished. Selected 6 axioms (removed 0 axioms). 
% 1.81/1.26  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.81/1.26  % [INFO] 	 Type checking passed. 
% 1.81/1.26  % [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 ... 
% 2.83/1.59  % External prover 'e' found a proof!
% 2.83/1.59  % [INFO] 	 Killing All external provers ... 
% 2.83/1.59  % Time passed: 1056ms (effective reasoning time: 613ms)
% 2.83/1.59  % 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)>
% 2.83/1.59  % Axioms used in derivation (6): axiom_2, axiom_3, axiom_1, axiom_5, axiom_0, axiom_4
% 2.83/1.59  % No. of inferences in proof: 16
% 2.83/1.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1056 ms resp. 613 ms w/o parsing
% 2.83/1.62  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.83/1.62  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------