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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB031+2 : 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 : n013.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 03:04:32 PM UTC 2026

% Result   : Unsatisfiable 0.28s 1.05s
% Output   : CNFRefutation 0.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   49 (  22 unt;   0 def)
%            Number of atoms       :  206 (  27 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  243 (  90   ~;  94   |;  48   &)
%                                         (   9 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   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  :    7 (   5 usr;   2 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   89 (   0 sgn  81   !;   8   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : ir(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

fof(f2,axiom,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
    <=> ir(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).

fof(f3,axiom,
    ! [X0] : ~ icext(uri_owl_Nothing,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_nothing_ext) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_rdf_rest,X1,uri_rdf_nil)
        & iext(uri_rdf_first,X1,X2) )
     => ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 )
          & ic(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
          <=> icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

fof(f6,axiom,
    ? [X0,X1] :
      ( iext(uri_rdf_rest,X1,uri_rdf_nil)
      & iext(uri_rdf_first,X1,uri_ex_w)
      & iext(uri_owl_oneOf,X0,X1)
      & iext(uri_owl_equivalentClass,uri_owl_Thing,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).

fof(f7,plain,
    ! [X0] :
      ( ir(X0)
     => icext(uri_owl_Thing,X0) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f8,plain,
    ! [X0] :
      ( ~ ir(X0)
      | icext(uri_owl_Thing,X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f9,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 )
          & ic(X0) ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 )
          & ic(X0) ) ) ),
    inference(flattening,[],[f9]) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( ( ~ iext(uri_owl_oneOf,X0,X1)
          | ( ! [X3] :
                ( ( ~ icext(X0,X3)
                  | X3 = X2 )
                & ( X2 != X3
                  | icext(X0,X3) ) )
            & ic(X0) ) )
        & ( ? [X3] :
              ( ( icext(X0,X3)
                | X3 = X2 )
              & ( ~ icext(X0,X3)
                | X2 != X3 ) )
          | ~ ic(X0)
          | iext(uri_owl_oneOf,X0,X1) ) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f12,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( ( ~ iext(uri_owl_oneOf,X0,X1)
          | ( ! [X3] :
                ( ( ~ icext(X0,X3)
                  | X3 = X2 )
                & ( X2 != X3
                  | icext(X0,X3) ) )
            & ic(X0) ) )
        & ( ? [X3] :
              ( ( icext(X0,X3)
                | X3 = X2 )
              & ( ~ icext(X0,X3)
                | X2 != X3 ) )
          | ~ ic(X0)
          | iext(uri_owl_oneOf,X0,X1) ) ) ),
    inference(flattening,[],[f11]) ).

fof(f13,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( ( ~ iext(uri_owl_oneOf,X0,X1)
          | ( ! [X4] :
                ( ( ~ icext(X0,X4)
                  | X2 = X4 )
                & ( X2 != X4
                  | icext(X0,X4) ) )
            & ic(X0) ) )
        & ( ? [X3] :
              ( ( icext(X0,X3)
                | X3 = X2 )
              & ( ~ icext(X0,X3)
                | X2 != X3 ) )
          | ~ ic(X0)
          | iext(uri_owl_oneOf,X0,X1) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( ( ~ iext(uri_owl_oneOf,X0,X1)
          | ( ! [X4] :
                ( ( ~ icext(X0,X4)
                  | X2 = X4 )
                & ( X2 != X4
                  | icext(X0,X4) ) )
            & ic(X0) ) )
        & ( ( ( icext(X0,sK0(X0,X2))
              | sK0(X0,X2) = X2 )
            & ( ~ icext(X0,sK0(X0,X2))
              | sK0(X0,X2) != X2 ) )
          | ~ ic(X0)
          | iext(uri_owl_oneOf,X0,X1) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X2))],[f13]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentClass,X0,X1)
        | ( ! [X2] :
              ( ( ~ icext(X0,X2)
                | icext(X1,X2) )
              & ( ~ icext(X1,X2)
                | icext(X0,X2) ) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X0,X2)
              | ~ icext(X1,X2) ) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentClass,X0,X1)
        | ( ! [X2] :
              ( ( ~ icext(X0,X2)
                | icext(X1,X2) )
              & ( ~ icext(X1,X2)
                | icext(X0,X2) ) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X0,X2)
              | ~ icext(X1,X2) ) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(flattening,[],[f15]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentClass,X0,X1)
        | ( ! [X3] :
              ( ( ~ icext(X0,X3)
                | icext(X1,X3) )
              & ( ~ icext(X1,X3)
                | icext(X0,X3) ) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X0,X2)
              | ~ icext(X1,X2) ) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(rectify,[],[f16]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_equivalentClass,X0,X1)
        | ( ! [X3] :
              ( ( ~ icext(X0,X3)
                | icext(X1,X3) )
              & ( ~ icext(X1,X3)
                | icext(X0,X3) ) )
          & ic(X1)
          & ic(X0) ) )
      & ( ( ( icext(X0,sK1(X0,X1))
            | icext(X1,sK1(X0,X1)) )
          & ( ~ icext(X0,sK1(X0,X1))
            | ~ icext(X1,sK1(X0,X1)) ) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f17]) ).

fof(f19,plain,
    ( iext(uri_rdf_rest,sK3,uri_rdf_nil)
    & iext(uri_rdf_first,sK3,uri_ex_w)
    & iext(uri_owl_oneOf,sK2,sK3)
    & iext(uri_owl_equivalentClass,uri_owl_Thing,sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f6]) ).

fof(f20,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ ir(X0)
      | icext(uri_owl_Thing,X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f22,plain,
    ! [X0] : ~ icext(uri_owl_Nothing,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f23,plain,
    ! [X2,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ icext(X0,X4)
      | X2 = X4 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f28,plain,
    ! [X3,X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X0,X1)
      | ~ icext(X0,X3)
      | icext(X1,X3) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f34,plain,
    iext(uri_rdf_rest,sK3,uri_rdf_nil),
    inference(cnf_transformation,[],[f19]) ).

fof(f35,plain,
    iext(uri_rdf_first,sK3,uri_ex_w),
    inference(cnf_transformation,[],[f19]) ).

fof(f36,plain,
    iext(uri_owl_oneOf,sK2,sK3),
    inference(cnf_transformation,[],[f19]) ).

fof(f37,plain,
    iext(uri_owl_equivalentClass,uri_owl_Thing,sK2),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_49,plain,
    ! [X0: $i] : ir(X0),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_50,plain,
    ! [X0: $i] :
      ( icext(uri_owl_Thing,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_51,plain,
    ! [X0: $i] : ~ icext(uri_owl_Nothing,X0),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = X3 )
      | ~ icext(X0,X3)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_owl_oneOf,X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_63,plain,
    iext(uri_owl_equivalentClass,uri_owl_Thing,sK2),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_64,plain,
    iext(uri_owl_oneOf,sK2,sK3),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_65,plain,
    iext(uri_rdf_first,sK3,uri_ex_w),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_66,plain,
    iext(uri_rdf_rest,sK3,uri_rdf_nil),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_78,plain,
    ! [X0: $i] : icext(uri_owl_Thing,X0),
    inference(global_subsumption_just,[status(thm)],[c_50,c_49,c_50]) ).

tcf(c_771,plain,
    ! [X0: $i] :
      ( icext(sK2,X0)
      | ~ icext(uri_owl_Thing,X0) ),
    inference(superposition,[status(thm)],[c_63,c_62]) ).

tcf(c_772,plain,
    ! [X0: $i] : icext(sK2,X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_771,c_78]) ).

tcf(c_942,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = uri_ex_w )
      | ~ icext(X0,X1)
      | ~ iext(uri_rdf_rest,sK3,uri_rdf_nil)
      | ~ iext(uri_owl_oneOf,X0,sK3) ),
    inference(superposition,[status(thm)],[c_65,c_56]) ).

tcf(c_943,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = uri_ex_w )
      | ~ icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,sK3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_942,c_66]) ).

tcf(c_989,plain,
    ! [X0: $i] :
      ( ( X0 = uri_ex_w )
      | ~ icext(sK2,X0) ),
    inference(superposition,[status(thm)],[c_64,c_943]) ).

tcf(c_990,plain,
    ! [X0: $i] : X0 = uri_ex_w,
    inference(forward_subsumption_resolution,[status(thm)],[c_989,c_772]) ).

tcf(c_1035,plain,
    ! [X0: $i] : X0 = iProver_smallest,
    inference(demodulation,[status(thm)],[c_990]) ).

tcf(c_1042,plain,
    ! [X0: $i] : X0 = iProver_smallest,
    inference(demodulation,[status(thm)],[c_990,c_1035]) ).

tcf(c_1049,plain,
    ! [X0: $i] : ~ icext(iProver_smallest,X0),
    inference(demodulation,[status(thm)],[c_51,c_1042]) ).

tcf(c_1064,plain,
    ! [X0: $i] : icext(iProver_smallest,X0),
    inference(demodulation,[status(thm)],[c_772,c_1042]) ).

tcf(c_1066,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1049,c_1064]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB031+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n013.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Thu Sep 24 15:36:51 UTC 2026
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39  Running first-order theorem proving
% 0.14/0.39  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
% 0.14/0.40  
% 0.14/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40  
% 0.14/0.40  % Detected problem language: tptp
% 0.14/0.42  % Proving...
% 0.28/1.05  % SZS status Started for theBenchmark.p
% 0.28/1.05  % SZS status Unsatisfiable for theBenchmark.p
% 0.28/1.05  
% 0.28/1.05  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.28/1.05  
% 0.28/1.05  % ------  iProver source info
% 0.28/1.05  
% 0.28/1.05  % git: date: 2026-07-19 20:42:38 +0200
% 0.28/1.05  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.28/1.05  % git: non_committed_changes: false
% 0.28/1.05  
% 0.28/1.05  % ------ Parsing...
% 0.28/1.05  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 0.28/1.05  
% 0.28/1.05  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 0.28/1.05  
% 0.28/1.05  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 0.28/1.05  
% 0.28/1.05  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.28/1.05  % ------ Proving...
% 0.28/1.05  % ------ Problem Properties 
% 0.28/1.05  
% 0.28/1.05  % 
% 0.28/1.05  % clauses                               17
% 0.28/1.05  % conjectures                           0
% 0.28/1.05  % EPR                                   13
% 0.28/1.05  % Horn                                  15
% 0.28/1.05  % unary                                 6
% 0.28/1.05  % binary                                2
% 0.28/1.05  % lits                                  51
% 0.28/1.05  % lits eq                               3
% 0.28/1.05  % fd_pure                               0
% 0.28/1.05  % fd_pseudo                             0
% 0.28/1.05  % fd_cond                               0
% 0.28/1.05  % fd_pseudo_cond                        1
% 0.28/1.05  % AC symbols                            0
% 0.28/1.05  
% 0.28/1.05  % ------ Schedule dynamic 5 is on 
% 0.28/1.05  
% 0.28/1.05  % ------ no conjectures: strip conj schedule 
% 0.28/1.05  
% 0.28/1.05  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.28/1.05  
% 0.28/1.05  
% 0.28/1.05  % ------ 
% 0.28/1.05  % Current options:
% 0.28/1.05  % ------ 
% 0.28/1.05  
% 0.28/1.05  
% 0.28/1.05  % 
% 0.28/1.05  
% 0.28/1.05  % ------ Proving...
% 0.28/1.05  % 
% 0.28/1.05  
% 0.28/1.05  % SZS status Unsatisfiable for theBenchmark.p
% 0.28/1.05  
% 0.28/1.05  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.28/1.05  
%------------------------------------------------------------------------------