↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB009+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n011.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 : Fri Sep 25 03:04:23 PM UTC 2026

% Result   : Theorem 8.19s 1.72s
% Output   : CNFRefutation 8.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   37 (   8 unt;   0 def)
%            Number of atoms       :  114 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  134 (  57   ~;  49   |;  23   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-3 aty)
%            Number of variables   :   73 (   0 sgn  65   !;   8   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(f340,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_onProperty,X0,X1)
        & iext(uri_owl_someValuesFrom,X0,X2) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_restrict_somevaluesfrom) ).

fof(f559,conjecture,
    ? [X0] :
      ( iext(uri_rdf_type,X0,uri_ex_c)
      & iext(uri_ex_p,uri_ex_s,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).

fof(f560,negated_conjecture,
    ~ ? [X0] :
        ( iext(uri_rdf_type,X0,uri_ex_c)
        & iext(uri_ex_p,uri_ex_s,X0) ),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ? [X0] :
      ( iext(uri_owl_someValuesFrom,X0,uri_ex_c)
      & iext(uri_owl_onProperty,X0,uri_ex_p)
      & iext(uri_rdf_type,X0,uri_owl_Restriction)
      & iext(uri_rdf_type,uri_ex_s,X0)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).

fof(f562,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(ennf_transformation,[],[f560]) ).

fof(f576,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) ) ),
    inference(ennf_transformation,[],[f340]) ).

fof(f577,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) ) ),
    inference(flattening,[],[f576]) ).

fof(f587,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdf_type,X0,X1)
        | icext(X1,X0) )
      & ( ~ icext(X1,X0)
        | iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f588,plain,
    ( iext(uri_owl_someValuesFrom,sK0,uri_ex_c)
    & iext(uri_owl_onProperty,sK0,uri_ex_p)
    & iext(uri_rdf_type,sK0,uri_owl_Restriction)
    & iext(uri_rdf_type,uri_ex_s,sK0)
    & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f561]) ).

fof(f598,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( ( ~ icext(X0,X3)
            | ? [X4] :
                ( icext(X2,X4)
                & iext(X1,X3,X4) ) )
          & ( ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) )
            | icext(X0,X3) ) ) ),
    inference(nnf_transformation,[],[f577]) ).

fof(f599,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( ( ~ icext(X0,X3)
            | ? [X5] :
                ( icext(X2,X5)
                & iext(X1,X3,X5) ) )
          & ( ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) )
            | icext(X0,X3) ) ) ),
    inference(rectify,[],[f598]) ).

fof(f600,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ! [X3] :
          ( ( ~ icext(X0,X3)
            | ( icext(X2,sK4(X1,X2,X3))
              & iext(X1,X3,sK4(X1,X2,X3)) ) )
          & ( ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) )
            | icext(X0,X3) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X5,sK4(X1,X2,X3))],[f599]) ).

fof(f608,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(cnf_transformation,[],[f562]) ).

fof(f612,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f587]) ).

fof(f613,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f587]) ).

fof(f614,plain,
    iext(uri_owl_someValuesFrom,sK0,uri_ex_c),
    inference(cnf_transformation,[],[f588]) ).

fof(f615,plain,
    iext(uri_owl_onProperty,sK0,uri_ex_p),
    inference(cnf_transformation,[],[f588]) ).

fof(f617,plain,
    iext(uri_rdf_type,uri_ex_s,sK0),
    inference(cnf_transformation,[],[f588]) ).

fof(f658,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ icext(X0,X3)
      | icext(X2,sK4(X1,X2,X3)) ),
    inference(cnf_transformation,[],[f600]) ).

fof(f659,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ icext(X0,X3)
      | iext(X1,X3,sK4(X1,X2,X3)) ),
    inference(cnf_transformation,[],[f600]) ).

tcf(c_49,negated_conjecture,
    ! [X0: $i] :
      ( ~ iext(uri_rdf_type,X0,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(cnf_transformation,[],[f608]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdf_type,X1,X0)
      | ~ icext(X0,X1) ),
    inference(cnf_transformation,[],[f613]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f612]) ).

tcf(c_57,plain,
    iext(uri_rdf_type,uri_ex_s,sK0),
    inference(cnf_transformation,[],[f617]) ).

tcf(c_59,plain,
    iext(uri_owl_onProperty,sK0,uri_ex_p),
    inference(cnf_transformation,[],[f615]) ).

tcf(c_60,plain,
    iext(uri_owl_someValuesFrom,sK0,uri_ex_c),
    inference(cnf_transformation,[],[f614]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(X1,X3,sK4(X1,X2,X3))
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(cnf_transformation,[],[f659]) ).

tcf(c_101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( icext(X2,sK4(X1,X2,X3))
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(cnf_transformation,[],[f658]) ).

tcf(c_2632,plain,
    icext(sK0,uri_ex_s),
    inference(superposition,[status(thm)],[c_57,c_54]) ).

tcf(c_4644,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X0,sK4(uri_ex_p,X0,X1))
      | ~ icext(sK0,X1)
      | ~ iext(uri_owl_someValuesFrom,sK0,X0) ),
    inference(superposition,[status(thm)],[c_59,c_101]) ).

tcf(c_5505,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_ex_p,X1,sK4(uri_ex_p,X0,X1))
      | ~ icext(sK0,X1)
      | ~ iext(uri_owl_someValuesFrom,sK0,X0) ),
    inference(superposition,[status(thm)],[c_59,c_100]) ).

tcf(c_10488,plain,
    ! [X0: $i] :
      ( ~ icext(sK0,uri_ex_s)
      | ~ iext(uri_owl_someValuesFrom,sK0,X0)
      | ~ iext(uri_rdf_type,sK4(uri_ex_p,X0,uri_ex_s),uri_ex_c) ),
    inference(superposition,[status(thm)],[c_5505,c_49]) ).

tcf(c_10497,plain,
    ! [X0: $i] :
      ( ~ iext(uri_owl_someValuesFrom,sK0,X0)
      | ~ iext(uri_rdf_type,sK4(uri_ex_p,X0,uri_ex_s),uri_ex_c) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10488,c_2632]) ).

tcf(c_10596,plain,
    ! [X0: $i] :
      ( ~ iext(uri_owl_someValuesFrom,sK0,X0)
      | ~ icext(uri_ex_c,sK4(uri_ex_p,X0,uri_ex_s)) ),
    inference(superposition,[status(thm)],[c_53,c_10497]) ).

tcf(c_10611,plain,
    ( ~ icext(sK0,uri_ex_s)
    | ~ iext(uri_owl_someValuesFrom,sK0,uri_ex_c) ),
    inference(superposition,[status(thm)],[c_4644,c_10596]) ).

tcf(c_10612,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_10611,c_2632,c_60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB009+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35  % Computer : n011.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Thu Sep 24 15:23:42 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39  Running first-order theorem proving
% 0.12/0.39  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.40  
% 0.12/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40  
% 0.12/0.41  % Detected problem language: tptp
% 0.12/0.42  % Proving...
% 8.19/1.72  % SZS status Started for theBenchmark.p
% 8.19/1.72  % SZS status Theorem for theBenchmark.p
% 8.19/1.72  
% 8.19/1.72  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.19/1.72  
% 8.19/1.72  % ------  iProver source info
% 8.19/1.72  
% 8.19/1.72  % git: date: 2026-07-19 20:42:38 +0200
% 8.19/1.72  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.19/1.72  % git: non_committed_changes: false
% 8.19/1.72  
% 8.19/1.72  % ------ Parsing...
% 8.19/1.72  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 8.19/1.72  
% 8.19/1.72  % ------ Preprocessing... sf_s  rm: 3 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 8.19/1.72  
% 8.19/1.72  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.19/1.72  % ------ Proving...
% 8.19/1.72  % ------ Problem Properties 
% 8.19/1.72  
% 8.19/1.72  % 
% 8.19/1.72  % clauses                               59
% 8.19/1.72  % conjectures                           1
% 8.19/1.72  % EPR                                   53
% 8.19/1.72  % Horn                                  57
% 8.19/1.72  % unary                                 25
% 8.19/1.72  % binary                                25
% 8.19/1.72  % lits                                  110
% 8.19/1.72  % lits eq                               0
% 8.19/1.72  % fd_pure                               0
% 8.19/1.72  % fd_pseudo                             0
% 8.19/1.72  % fd_cond                               0
% 8.19/1.72  % fd_pseudo_cond                        0
% 8.19/1.72  % AC symbols                            0
% 8.19/1.72  
% 8.19/1.72  % ------ Schedule dynamic 5 is on 
% 8.19/1.72  
% 8.19/1.72  % ------ no equalities: superposition off 
% 8.19/1.72  
% 8.19/1.72  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.19/1.72  
% 8.19/1.72  
% 8.19/1.72  % ------ 
% 8.19/1.72  % Current options:
% 8.19/1.72  % ------ 
% 8.19/1.72  
% 8.19/1.72  
% 8.19/1.72  % 
% 8.19/1.72  
% 8.19/1.72  % ------ Proving...
% 8.19/1.72  % 
% 8.19/1.72  
% 8.19/1.72  % SZS status Theorem for theBenchmark.p
% 8.19/1.72  
% 8.19/1.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.19/1.72  
% 8.19/1.72  
%------------------------------------------------------------------------------