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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB006+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n020.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 03:03:41 PM UTC 2026

% Result   : Theorem 18.45s 3.04s
% Output   : Proof 18.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   38 (  30 unt;   0 def)
%            Number of atoms       :   53 (  28 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   28 (  13   ~;   6   |;   8   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-4 aty)
%            Number of variables   :   26 (   2 sgn   6   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f0,axiom,
    ! [X,Y] :
      ( iext(uri_owl_sameAs,X,Y)
    <=> X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f0_nnf,plain,
    ! [X,Y] :
      ( ( X != Y
        | iext(uri_owl_sameAs,X,Y) )
      & ( X = Y
        | ~ iext(uri_owl_sameAs,X,Y) ) ),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [X,Y] :
      ( ( X != Y
        | iext(uri_owl_sameAs,X,Y) )
      & ( X = Y
        | ~ iext(uri_owl_sameAs,X,Y) ) ),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    ( X0 = X1
    | ~ iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(hi0,axiom,
    ifeq(iext(uri_owl_sameAs,X0,X1),true,X0,X1) = X1,
    inference(equality_encoding,[status(esa)],[c0]) ).

fof(f2,axiom,
    ? [BNODE_x] :
      ( iext(uri_owl_sameAs,BNODE_x,uri_ex_w)
      & iext(uri_owl_sameAs,BNODE_x,literal_plain(dat_str_abc))
      & iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_006_Literal_Val_h8755ff8365fd9e94) ).

fof(f2_nnf,plain,
    ? [BNODE_x] :
      ( iext(uri_owl_sameAs,BNODE_x,uri_ex_w)
      & iext(uri_owl_sameAs,BNODE_x,literal_plain(dat_str_abc))
      & iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,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(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f2_nnf]) ).

cnf(c3,plain,
    iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(hi2,axiom,
    iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) = true,
    inference(equality_encoding,[status(esa)],[c3]) ).

cnf(t2,plain,
    literal_plain(dat_str_abc) = uri_ex_u,
    inference(hyper_resolution,[status(thm)],[hi0,hi2]) ).

cnf(c4,plain,
    iext(uri_owl_sameAs,sk0,literal_plain(dat_str_abc)),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(hi3,axiom,
    iext(uri_owl_sameAs,sk0,literal_plain(dat_str_abc)) = true,
    inference(equality_encoding,[status(esa)],[c4]) ).

cnf(t1,plain,
    literal_plain(dat_str_abc) = sk0,
    inference(hyper_resolution,[status(thm)],[hi0,hi3]) ).

cnf(c5,plain,
    iext(uri_owl_sameAs,sk0,uri_ex_w),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(hi4,axiom,
    iext(uri_owl_sameAs,sk0,uri_ex_w) = true,
    inference(equality_encoding,[status(esa)],[c5]) ).

cnf(t0,plain,
    uri_ex_w = sk0,
    inference(hyper_resolution,[status(thm)],[hi0,hi4]) ).

cnf(t600,plain,
    sk0 = uri_ex_w,
    inference(orient,[status(thm)],[t0]) ).

cnf(t682,plain,
    literal_plain(dat_str_abc) = uri_ex_w,
    inference(step,[status(thm)],[t1,t600]) ).

cnf(t604,plain,
    literal_plain(dat_str_abc) = uri_ex_w,
    inference(orient,[status(thm)],[t682]) ).

cnf(t685,plain,
    uri_ex_w = uri_ex_u,
    inference(step,[status(thm)],[t2,t604]) ).

cnf(t607,plain,
    uri_ex_u = uri_ex_w,
    inference(orient,[status(thm)],[t685]) ).

cnf(c1,plain,
    ( X0 != X1
    | iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(t17,plain,
    ifeq(X1,X2,iext(uri_owl_sameAs,X1,X2),true) = true,
    inference(equality_encoding,[status(esa)],[c1]) ).

cnf(t593,plain,
    ifeq(X1,X2,iext(uri_owl_sameAs,X1,X2),true) = true,
    inference(orient,[status(thm)],[t17]) ).

cnf(t8,plain,
    ifeq(X1,X1,X2,X3) = X2,
    introduced(definition) ).

cnf(t256,plain,
    ifeq(X1,X1,X2,X3) = X2,
    inference(orient,[status(thm)],[t8]) ).

cnf(t594,plain,
    true = iext(uri_owl_sameAs,X1,X1),
    inference(cp,[status(thm)],[t593,t256]) ).

cnf(t608,plain,
    iext(uri_owl_sameAs,X1,X1) = true,
    inference(orient,[status(thm)],[t594]) ).

fof(f1,conjecture,
    iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_006_Literal__h53e3c57b4a2185c0) ).

fof(f1_neg,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f1_nnf,plain,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(nnf_transformation,[status(thm)],[f1_neg]) ).

fof(f1_sk,plain,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c2,plain,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(goal_0,negated_conjecture,
    iext(uri_owl_sameAs,uri_ex_u,uri_ex_w) != true,
    inference(equality_encoding,[status(esa)],[c2]) ).

cnf(g0_0,plain,
    iext(uri_owl_sameAs,uri_ex_w,uri_ex_w) != true,
    inference(rw,[status(thm)],[goal_0,t607]) ).

cnf(g0_1,plain,
    true != true,
    inference(rw,[status(thm)],[g0_0,t608]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB006+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36  % Computer : n020.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 15:22:19 UTC 2026
% 0.03/0.36  % CPUTime  : 
% 0.03/0.36  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 18.45/3.04  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.45/3.04  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------