↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB040+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n005.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 03:04:34 PM UTC 2026

% Result   : Theorem 202.55s 37.58s
% Output   : CNFRefutation 202.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   44 (  12 unt;   0 def)
%            Number of atoms       :  150 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  180 (  74   ~;  71   |;  29   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   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  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   63 (   0 sgn  60   !;   3   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f278,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ( ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_bool_complementof_class) ).

fof(f343,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subclassof) ).

fof(f559,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_bool_tollens) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ( iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2)
    & iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1)
    & iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_bool_tollens) ).

fof(f572,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
    inference(flattening,[],[f560]) ).

fof(f671,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ( ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f278]) ).

fof(f791,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( ~ icext(X0,X2)
            | icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f343]) ).

fof(f1092,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ( ! [X2] :
            ( ( ~ icext(X0,X2)
              | ~ icext(X1,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) )
        & ic(X1)
        & ic(X0) ) ),
    inference(nnf_transformation,[],[f671]) ).

fof(f1312,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X2] :
              ( ~ icext(X0,X2)
              | icext(X1,X2) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f791]) ).

fof(f1313,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X2] :
              ( ~ icext(X0,X2)
              | icext(X1,X2) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(flattening,[],[f1312]) ).

fof(f1314,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X3] :
              ( ~ icext(X0,X3)
              | icext(X1,X3) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(rectify,[],[f1313]) ).

fof(f1315,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X3] :
              ( ~ icext(X0,X3)
              | icext(X1,X3) )
          & ic(X1)
          & ic(X0) ) )
      & ( ( icext(X0,sK167(X0,X1))
          & ~ icext(X1,sK167(X0,X1)) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK167]),skolemize(X2,sK167(X0,X1))],[f1314]) ).

fof(f1826,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ~ icext(X0,X2)
      | ~ icext(X1,X2) ),
    inference(cnf_transformation,[],[f1092]) ).

fof(f1827,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | icext(X1,X2)
      | icext(X0,X2) ),
    inference(cnf_transformation,[],[f1092]) ).

fof(f1829,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ic(X0) ),
    inference(cnf_transformation,[],[f1092]) ).

fof(f2310,plain,
    ! [X3,X0,X1] :
      ( ~ iext(uri_rdfs_subClassOf,X0,X1)
      | ~ icext(X0,X3)
      | icext(X1,X3) ),
    inference(cnf_transformation,[],[f1315]) ).

fof(f2313,plain,
    ! [X0,X1] :
      ( icext(X0,sK167(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f1315]) ).

fof(f2314,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK167(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f1315]) ).

fof(f2749,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
    inference(cnf_transformation,[],[f572]) ).

fof(f2750,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
    inference(cnf_transformation,[],[f561]) ).

fof(f2751,plain,
    iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1),
    inference(cnf_transformation,[],[f561]) ).

fof(f2752,plain,
    iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2),
    inference(cnf_transformation,[],[f561]) ).

tcf(c_415,plain,
    ! [X0: $i,X1: $i] :
      ( ic(X0)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f1829]) ).

tcf(c_417,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( icext(X1,X2)
      | icext(X0,X2)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f1827]) ).

tcf(c_418,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f1826]) ).

tcf(c_899,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subClassOf,X1,X0)
      | ~ ic(X1)
      | ~ ic(X0)
      | ~ icext(X0,sK167(X1,X0)) ),
    inference(cnf_transformation,[],[f2314]) ).

tcf(c_900,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdfs_subClassOf,X1,X0)
      | icext(X1,sK167(X1,X0))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f2313]) ).

tcf(c_903,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f2310]) ).

tcf(c_1326,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
    inference(cnf_transformation,[],[f2749]) ).

tcf(c_1327,plain,
    iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2),
    inference(cnf_transformation,[],[f2752]) ).

tcf(c_1328,plain,
    iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1),
    inference(cnf_transformation,[],[f2751]) ).

tcf(c_1329,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
    inference(cnf_transformation,[],[f2750]) ).

tcf(c_114578,plain,
    ( ic(uri_ex_n2)
    | ~ iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_114579,plain,
    ( ic(uri_ex_n1)
    | ~ iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_133493,plain,
    ! [X0: $i] :
      ( icext(uri_ex_c1,X0)
      | icext(uri_ex_n1,X0)
      | ~ iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1) ),
    inference(instantiation,[status(thm)],[c_417]) ).

tcf(c_133770,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1)
    | ~ ic(uri_ex_n1)
    | ~ ic(uri_ex_n2)
    | ~ icext(uri_ex_n1,sK167(uri_ex_n2,uri_ex_n1)) ),
    inference(instantiation,[status(thm)],[c_899]) ).

tcf(c_133779,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1)
    | icext(uri_ex_n2,sK167(uri_ex_n2,uri_ex_n1))
    | ~ ic(uri_ex_n1)
    | ~ ic(uri_ex_n2) ),
    inference(instantiation,[status(thm)],[c_900]) ).

tcf(c_136271,plain,
    ( icext(uri_ex_c1,sK167(uri_ex_n2,uri_ex_n1))
    | icext(uri_ex_n1,sK167(uri_ex_n2,uri_ex_n1))
    | ~ iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1) ),
    inference(instantiation,[status(thm)],[c_133493]) ).

tcf(c_176144,plain,
    ! [X0: $i] :
      ( icext(X0,sK167(uri_ex_n2,uri_ex_n1))
      | ~ iext(uri_rdfs_subClassOf,uri_ex_c1,X0)
      | ~ icext(uri_ex_c1,sK167(uri_ex_n2,uri_ex_n1)) ),
    inference(instantiation,[status(thm)],[c_903]) ).

tcf(c_179760,plain,
    ( icext(uri_ex_c2,sK167(uri_ex_n2,uri_ex_n1))
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2)
    | ~ icext(uri_ex_c1,sK167(uri_ex_n2,uri_ex_n1)) ),
    inference(instantiation,[status(thm)],[c_176144]) ).

tcf(c_190115,plain,
    ! [X0: $i] :
      ( ~ icext(uri_ex_c2,X0)
      | ~ icext(uri_ex_n2,X0)
      | ~ iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2) ),
    inference(instantiation,[status(thm)],[c_418]) ).

tcf(c_192317,plain,
    ( ~ iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2)
    | ~ icext(uri_ex_c2,sK167(uri_ex_n2,uri_ex_n1))
    | ~ icext(uri_ex_n2,sK167(uri_ex_n2,uri_ex_n1)) ),
    inference(instantiation,[status(thm)],[c_190115]) ).

tcf(c_192318,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_192317,c_179760,c_136271,c_133779,c_133770,c_114579,c_114578,c_1326,c_1327,c_1328,c_1329]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWB040+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.42  % Computer : n005.cluster.edu
% 0.13/0.42  % Model    : x86_64 x86_64
% 0.13/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42  % Memory   : 8046.5625MB
% 0.13/0.42  % OS       : Linux 6.8.0-71-generic
% 0.13/0.42  % CPULimit : 300
% 0.13/0.42  % WCLimit  : 300
% 0.13/0.42  % DateTime : Thu Sep 24 15:39:19 UTC 2026
% 0.13/0.42  % CPUTime  : 
% 0.13/0.42  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.46  Running first-order theorem proving
% 0.13/0.46  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  
% 0.19/0.47  % ======== iProver multi-core TPTP/SMT =========
% 0.19/0.47  
% 0.19/0.47  % Detected problem language: tptp
% 0.19/0.48  % Proving...
% 202.55/37.58  % SZS status Started for theBenchmark.p
% 202.55/37.58  % SZS status Theorem for theBenchmark.p
% 202.55/37.58  
% 202.55/37.58  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 202.55/37.58  
% 202.55/37.58  % ------  iProver source info
% 202.55/37.58  
% 202.55/37.58  % git: date: 2026-07-19 20:42:38 +0200
% 202.55/37.58  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 202.55/37.58  % git: non_committed_changes: false
% 202.55/37.58  
% 202.55/37.58  % ------ Parsing...
% 202.55/37.58  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 202.55/37.58  
% 202.55/37.58  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 202.55/37.58  
% 202.55/37.58  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 202.55/37.58  
% 202.55/37.58  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 202.55/37.58  % ------ Proving...
% 202.55/37.58  % ------ Problem Properties 
% 202.55/37.58  
% 202.55/37.58  % 
% 202.55/37.58  % clauses                               1172
% 202.55/37.58  % conjectures                           1
% 202.55/37.58  % EPR                                   712
% 202.55/37.58  % Horn                                  903
% 202.55/37.58  % unary                                 228
% 202.55/37.58  % binary                                455
% 202.55/37.58  % lits                                  3733
% 202.55/37.58  % lits eq                               197
% 202.55/37.58  % fd_pure                               0
% 202.55/37.58  % fd_pseudo                             0
% 202.55/37.58  % fd_cond                               0
% 202.55/37.58  % fd_pseudo_cond                        66
% 202.55/37.58  % AC symbols                            0
% 202.55/37.58  
% 202.55/37.58  % ------ Input Options Time Limit: Unbounded
% 202.55/37.58  
% 202.55/37.58  
% 202.55/37.58  % ------ 
% 202.55/37.58  % Current options:
% 202.55/37.58  % ------ 
% 202.55/37.58  
% 202.55/37.58  
% 202.55/37.58  % 
% 202.55/37.58  
% 202.55/37.58  % ------ Proving...
% 202.55/37.58  % 
% 202.55/37.58  
% 202.55/37.58  % SZS status Theorem for theBenchmark.p
% 202.55/37.58  
% 202.55/37.58  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 202.55/37.58  
% 202.55/37.58  
%------------------------------------------------------------------------------