↑ Up

Leo-III---1.8.0.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SWB030+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 08:50:39 AM UTC 2026

% Result   : Unsatisfiable 2.51s 1.59s
% Output   : Refutation 2.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   39 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :  131 (   3   ~;   0   |;  17   &;  98   @)
%                                         (   3 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;  10 con; 0-3 aty)
%            Number of variables   :   20 (   0   ^;  18   !;   2   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(iext_decl,type,
    iext: $i > $i > $i > $o ).

thf(uri_rdf_type_decl,type,
    uri_rdf_type: $i ).

thf(icext_decl,type,
    icext: $i > $i > $o ).

thf(uri_owl_hasSelf_decl,type,
    uri_owl_hasSelf: $i ).

thf(uri_owl_onProperty_decl,type,
    uri_owl_onProperty: $i ).

thf(uri_owl_complementOf_decl,type,
    uri_owl_complementOf: $i ).

thf(ic_decl,type,
    ic: $i > $o ).

thf(uri_ex_c_decl,type,
    uri_ex_c: $i ).

thf(uri_owl_Class_decl,type,
    uri_owl_Class: $i ).

thf(uri_owl_Restriction_decl,type,
    uri_owl_Restriction: $i ).

thf(literal_typed_decl,type,
    literal_typed: $i > $i > $i ).

thf(dat_str_true_decl,type,
    dat_str_true: $i ).

thf(uri_xsd_boolean_decl,type,
    uri_xsd_boolean: $i ).

thf(1,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
    <=> ( A @ ( B @ icext ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

thf(5,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ ( B @ icext ) )
       => ( B @ ( A @ ( uri_rdf_type @ iext ) ) ) )
      & ( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
       => ( A @ ( B @ icext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
        & ( C @ ( A @ ( uri_owl_hasSelf @ iext ) ) ) )
     => ! [D: $i] :
          ( ( D @ ( A @ icext ) )
        <=> ( D @ ( D @ ( B @ iext ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasself) ).

thf(11,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
        & ( C @ ( A @ ( uri_owl_hasSelf @ iext ) ) ) )
     => ! [D: $i] :
          ( ( ( D @ ( D @ ( B @ iext ) ) )
           => ( D @ ( A @ icext ) ) )
          & ( ( D @ ( A @ icext ) )
           => ( D @ ( D @ ( B @ iext ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
     => ( ! [C: $i] :
            ( ( C @ ( A @ icext ) )
          <=> ~ ( C @ ( B @ icext ) ) )
        & ( B @ ic )
        & ( A @ ic ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

thf(17,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
     => ( ! [C: $i] :
            ( ( ~ ( C @ ( B @ icext ) )
             => ( C @ ( A @ icext ) ) )
            & ( ( C @ ( A @ icext ) )
             => ~ ( C @ ( B @ icext ) ) ) )
        & ( B @ ic )
        & ( A @ ic ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(4,axiom,
    ? [A: $i] :
      ( ( uri_xsd_boolean @ ( dat_str_true @ literal_typed ) @ ( A @ ( uri_owl_hasSelf @ iext ) ) )
      & ( uri_rdf_type @ ( A @ ( uri_owl_onProperty @ iext ) ) )
      & ( uri_owl_Restriction @ ( A @ ( uri_rdf_type @ iext ) ) )
      & ( A @ ( uri_ex_c @ ( uri_owl_complementOf @ iext ) ) )
      & ( uri_owl_Class @ ( uri_ex_c @ ( uri_rdf_type @ iext ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).

thf(25,plain,
    ? [A: $i] :
      ( ( uri_xsd_boolean @ ( dat_str_true @ literal_typed ) @ ( A @ ( uri_owl_hasSelf @ iext ) ) )
      & ( uri_rdf_type @ ( A @ ( uri_owl_onProperty @ iext ) ) )
      & ( uri_owl_Restriction @ ( A @ ( uri_rdf_type @ iext ) ) )
      & ( A @ ( uri_ex_c @ ( uri_owl_complementOf @ iext ) ) )
      & ( uri_owl_Class @ ( uri_ex_c @ ( uri_rdf_type @ iext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(33,plain,
    $false,
    inference(e,[status(thm)],[5,11,17,25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB030+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.41  % Computer : n003.cluster.edu
% 0.13/0.41  % Model    : x86_64 x86_64
% 0.13/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41  % Memory   : 8046.5625MB
% 0.13/0.41  % OS       : Linux 6.8.0-71-generic
% 0.13/0.41  % CPULimit : 300
% 0.13/0.41  % WCLimit  : 300
% 0.13/0.41  % DateTime : Sat Sep 26 11:54:24 UTC 2026
% 0.13/0.41  % CPUTime  : 
% 0.13/0.41  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.67/0.72  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 0.90/0.81  % [INFO] 	 Parsing done (93ms). 
% 0.90/0.82  % [INFO] 	 Running in sequential loop mode. 
% 1.08/1.01  % [INFO] 	 eprover registered as external prover. 
% 1.08/1.02  % [INFO] 	 Scanning for conjecture ... 
% 1.38/1.04  % [INFO] 	 4 axioms and no conjecture found. 
% 1.38/1.07  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.38/1.08  % [INFO] 	 Type checking passed. 
% 1.38/1.08  % [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 ... 
% 2.51/1.59  % External prover 'e' found a proof!
% 2.51/1.59  % [INFO] 	 Killing All external provers ... 
% 2.51/1.59  % Time passed: 1083ms (effective reasoning time: 769ms)
% 2.51/1.59  % Axioms used in derivation (4): rdfs_cext_def, owl_restrict_hasself, owl_bool_complementof_class, testcase_premise_fullish_030_Bad_Class
% 2.51/1.59  % No. of inferences in proof: 9
% 2.51/1.59  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1083 ms resp. 769 ms w/o parsing
% 2.78/1.63  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.78/1.63  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------