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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB006+2 : 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 : n026.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 03:04:21 PM UTC 2026

% Result   : Theorem 1.31s 6.50s
% Output   : CNFRefutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   35 (  24 unt;   1 def)
%            Number of atoms       :   61 (  31 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   46 (  24   ~;  16   |;   5   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 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 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   20 (   0 sgn  19   !;   1   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f2,conjecture,
    iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes) ).

fof(f3,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(negated_conjecture,[status(cth)],[f2]) ).

fof(f4,axiom,
    ? [X0] :
      ( iext(uri_owl_sameAs,X0,uri_ex_w)
      & iext(uri_owl_sameAs,X0,literal_plain(dat_str_abc))
      & iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes) ).

fof(f5,plain,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(flattening,[],[f3]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_sameAs,X0,X1)
        | X0 = X1 )
      & ( X0 != X1
        | iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f7,plain,
    ( iext(uri_owl_sameAs,sK0,uri_ex_w)
    & iext(uri_owl_sameAs,sK0,literal_plain(dat_str_abc))
    & iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f4]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_sameAs,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( X0 != X1
      | iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    iext(uri_owl_sameAs,sK0,uri_ex_w),
    inference(cnf_transformation,[],[f7]) ).

fof(f12,plain,
    iext(uri_owl_sameAs,sK0,literal_plain(dat_str_abc)),
    inference(cnf_transformation,[],[f7]) ).

fof(f13,plain,
    iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)),
    inference(cnf_transformation,[],[f7]) ).

fof(f14,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f9]) ).

tcf(c_49,plain,
    ! [X0: $i] : iext(uri_owl_sameAs,X0,X0),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_51,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_52,plain,
    iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_53,plain,
    iext(uri_owl_sameAs,sK0,literal_plain(dat_str_abc)),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_54,plain,
    iext(uri_owl_sameAs,sK0,uri_ex_w),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_80,plain,
    ! [X0: $i] :
      ( ( uri_owl_sameAs != uri_owl_sameAs )
      | ( X0 != uri_ex_w )
      | ( X0 != uri_ex_u ) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_51]) ).

tcf(c_81,plain,
    uri_ex_u != uri_ex_w,
    inference(unflattening,[status(thm)],[c_80]) ).

tcf(c_85,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( uri_owl_sameAs != uri_owl_sameAs )
      | ( X0 != uri_ex_u )
      | ( literal_plain(dat_str_abc) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_52]) ).

tcf(c_86,plain,
    uri_ex_u = literal_plain(dat_str_abc),
    inference(unflattening,[status(thm)],[c_85]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( uri_owl_sameAs != uri_owl_sameAs )
      | ( X0 != sK0 )
      | ( literal_plain(dat_str_abc) != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_53]) ).

tcf(c_91,plain,
    sK0 = literal_plain(dat_str_abc),
    inference(unflattening,[status(thm)],[c_90]) ).

tcf(c_95,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( uri_owl_sameAs != uri_owl_sameAs )
      | ( X1 != uri_ex_w )
      | ( X0 != sK0 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_54]) ).

tcf(c_96,plain,
    sK0 = uri_ex_w,
    inference(unflattening,[status(thm)],[c_95]) ).

tcf(c_137,definition,
    iPr_def_10 = literal_plain(dat_str_abc),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_141,plain,
    uri_ex_u != uri_ex_w,
    inference(demodulation,[status(thm)],[c_81]) ).

tcf(c_208,plain,
    uri_ex_u = iPr_def_10,
    inference(demodulation,[status(thm)],[c_86,c_137]) ).

tcf(c_209,plain,
    uri_ex_w != iPr_def_10,
    inference(demodulation,[status(thm)],[c_141,c_208]) ).

tcf(c_210,plain,
    literal_plain(dat_str_abc) = uri_ex_w,
    inference(light_normalisation,[status(thm)],[c_91,c_96]) ).

tcf(c_211,plain,
    uri_ex_w = iPr_def_10,
    inference(demodulation,[status(thm)],[c_210,c_137]) ).

tcf(c_212,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_211,c_209]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB006+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.59  % Computer : n026.cluster.edu
% 0.12/5.59  % Model    : x86_64 x86_64
% 0.12/5.59  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.59  % Memory   : 8046.5625MB
% 0.12/5.59  % OS       : Linux 6.8.0-71-generic
% 0.12/5.59  % CPULimit : 300
% 0.12/5.59  % WCLimit  : 300
% 0.12/5.59  % DateTime : Thu Sep 24 15:24:32 UTC 2026
% 0.12/5.59  % CPUTime  : 
% 0.12/5.59  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.63  Running first-order theorem proving
% 0.16/5.63  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
% 0.16/5.64  
% 0.16/5.64  % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.64  
% 0.16/5.64  % Detected problem language: tptp
% 0.16/5.66  % Proving...
% 1.31/6.50  % SZS status Started for theBenchmark.p
% 1.31/6.50  % SZS status Theorem for theBenchmark.p
% 1.31/6.50  
% 1.31/6.50  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.31/6.50  
% 1.31/6.50  % ------  iProver source info
% 1.31/6.50  
% 1.31/6.50  % git: date: 2026-07-19 20:42:38 +0200
% 1.31/6.50  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.31/6.50  % git: non_committed_changes: false
% 1.31/6.50  
% 1.31/6.50  % ------ Parsing...
% 1.31/6.50  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.31/6.50  
% 1.31/6.50  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e % 
% 1.31/6.50  
% 1.31/6.50  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.31/6.50  
% 1.31/6.50  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.31/6.50  % ------ Proving...
% 1.31/6.50  % ------ Problem Properties 
% 1.31/6.50  
% 1.31/6.50  % 
% 1.31/6.50  % clauses                               8
% 1.31/6.50  % conjectures                           0
% 1.31/6.50  % EPR                                   5
% 1.31/6.50  % Horn                                  8
% 1.31/6.50  % unary                                 5
% 1.31/6.50  % binary                                3
% 1.31/6.50  % lits                                  11
% 1.31/6.50  % lits eq                               11
% 1.31/6.50  % fd_pure                               0
% 1.31/6.50  % fd_pseudo                             0
% 1.31/6.50  % fd_cond                               0
% 1.31/6.50  % fd_pseudo_cond                        0
% 1.31/6.50  % AC symbols                            0
% 1.31/6.50  
% 1.31/6.50  % ------ Schedule dynamic 5 is on 
% 1.31/6.50  
% 1.31/6.50  % ------ no conjectures: strip conj schedule 
% 1.31/6.50  
% 1.31/6.50  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.31/6.50  
% 1.31/6.50  
% 1.31/6.50  % ------ 
% 1.31/6.50  % Current options:
% 1.31/6.50  % ------ 
% 1.31/6.50  
% 1.31/6.50  
% 1.31/6.50  % 
% 1.31/6.50  
% 1.31/6.50  % ------ Proving...
% 1.31/6.50  % 
% 1.31/6.50  
% 1.31/6.50  % SZS status Theorem for theBenchmark.p
% 1.31/6.50  
% 1.31/6.50  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.31/6.50  
% 1.31/6.50  
%------------------------------------------------------------------------------