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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB031+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 : Thu Sep 24 02:38:28 PM UTC 2026

% Result   : Unsatisfiable 7.51s 9.33s
% Output   : CNFRefutation 7.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   33 (  18 unt;   0 def)
%            Number of atoms       :  110 (  10 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  127 (  50   ~;  49   |;  22   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  13 con; 0-3 aty)
%            Number of variables   :   50 (   9 sgn  25   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_enum_class_001,axiom,
    ! [X11,X12,X21] :
      ( ( iext(uri_rdf_rest,X12,uri_rdf_nil)
        & iext(uri_rdf_first,X12,X21) )
     => ( iext(uri_owl_oneOf,X11,X12)
      <=> ( ! [X4] :
              ( icext(X11,X4)
            <=> X4 = X21 )
          & ic(X11) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_enum_class_001) ).

fof(testcase_premise_fullish_031_Large_Universe,axiom,
    ? [X42,X43] :
      ( iext(uri_rdf_rest,X43,uri_rdf_nil)
      & iext(uri_rdf_first,X43,uri_ex_w)
      & iext(uri_owl_oneOf,X42,X43)
      & iext(uri_owl_equivalentClass,uri_owl_Thing,X42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).

fof(owl_class_thing_ext,axiom,
    ! [X4] :
      ( icext(uri_owl_Thing,X4)
    <=> ir(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_thing_ext) ).

fof(simple_ir,axiom,
    ! [X4] : ir(X4),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_ir) ).

fof(owl_eqdis_equivalentclass,axiom,
    ! [X13,X15] :
      ( iext(uri_owl_equivalentClass,X13,X15)
    <=> ( ! [X4] :
            ( icext(X13,X4)
          <=> icext(X15,X4) )
        & ic(X15)
        & ic(X13) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_equivalentclass) ).

fof(owl_class_nothing_ext,axiom,
    ! [X4] : ~ icext(uri_owl_Nothing,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_nothing_ext) ).

fof(owl_ndis_alldifferent_distinctmembers_fi_000,axiom,
    ? [X11] :
      ( iext(uri_owl_distinctMembers,X11,uri_rdf_nil)
      & icext(uri_owl_AllDifferent,X11) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_ndis_alldifferent_distinctmembers_fi_000) ).

fof(c_0_7,plain,
    ! [X351,X352,X353,X354,X355] :
      ( ( ~ iext(uri_rdf_rest,X352,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X352,X353)
        | iext(uri_owl_oneOf,X351,X352)
        | ~ ic(X351)
        | esk11_3(X351,X352,X353) = X353
        | icext(X351,esk11_3(X351,X352,X353)) )
      & ( ~ iext(uri_rdf_rest,X352,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X352,X353)
        | iext(uri_owl_oneOf,X351,X352)
        | ~ ic(X351)
        | esk11_3(X351,X352,X353) != X353
        | ~ icext(X351,esk11_3(X351,X352,X353)) )
      & ( ~ iext(uri_rdf_rest,X352,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X352,X353)
        | ~ iext(uri_owl_oneOf,X351,X352)
        | icext(X351,X355)
        | X355 != X353 )
      & ( ~ iext(uri_rdf_rest,X352,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X352,X353)
        | ~ iext(uri_owl_oneOf,X351,X352)
        | X354 = X353
        | ~ icext(X351,X354) )
      & ( ~ iext(uri_rdf_rest,X352,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X352,X353)
        | ~ iext(uri_owl_oneOf,X351,X352)
        | ic(X351) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_enum_class_001])])])])])])]) ).

fof(c_0_8,plain,
    ( iext(uri_rdf_rest,esk193_0,uri_rdf_nil)
    & iext(uri_rdf_first,esk193_0,uri_ex_w)
    & iext(uri_owl_oneOf,esk192_0,esk193_0)
    & iext(uri_owl_equivalentClass,uri_owl_Thing,esk192_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_031_Large_Universe])]) ).

fof(c_0_9,plain,
    ! [X144] :
      ( ( icext(uri_owl_Thing,X144)
        | ~ ir(X144) )
      & ( ir(X144)
        | ~ icext(uri_owl_Thing,X144) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_thing_ext])])]) ).

fof(c_0_10,plain,
    ! [X47] : ir(X47),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

cnf(c_0_11,plain,
    ( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X4,X3)
    | ~ iext(uri_owl_oneOf,X1,X4)
    | ~ icext(X1,X2)
    | X2 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    iext(uri_rdf_rest,esk193_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_13,plain,
    ! [X816,X817,X818,X819,X820,X821] :
      ( ( iext(uri_owl_equivalentClass,X820,X821)
        | ~ ic(X821)
        | ~ ic(X820)
        | icext(X821,esk116_2(X820,X821))
        | icext(X820,esk116_2(X820,X821)) )
      & ( iext(uri_owl_equivalentClass,X820,X821)
        | ~ ic(X821)
        | ~ ic(X820)
        | ~ icext(X821,esk116_2(X820,X821))
        | ~ icext(X820,esk116_2(X820,X821)) )
      & ( ~ iext(uri_owl_equivalentClass,X816,X817)
        | icext(X816,X819)
        | ~ icext(X817,X819) )
      & ( ~ iext(uri_owl_equivalentClass,X816,X817)
        | icext(X817,X818)
        | ~ icext(X816,X818) )
      & ( ~ iext(uri_owl_equivalentClass,X816,X817)
        | ic(X817) )
      & ( ~ iext(uri_owl_equivalentClass,X816,X817)
        | ic(X816) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_equivalentclass])])])])])])]) ).

cnf(c_0_14,plain,
    ( ~ ir(X1)
    | icext(uri_owl_Thing,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    ( ~ iext(uri_owl_oneOf,X3,esk193_0)
    | ~ iext(uri_rdf_first,esk193_0,X2)
    | ~ icext(X3,X1)
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,plain,
    iext(uri_rdf_first,esk193_0,uri_ex_w),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_18,plain,
    ( ~ iext(uri_owl_equivalentClass,X1,X3)
    | ~ icext(X1,X2)
    | icext(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    iext(uri_owl_equivalentClass,uri_owl_Thing,esk192_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_20,plain,
    icext(uri_owl_Thing,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).

fof(c_0_21,plain,
    ! [X4] : ~ icext(uri_owl_Nothing,X4),
    inference(fof_simplification,[status(thm)],[owl_class_nothing_ext]) ).

cnf(c_0_22,plain,
    ( ~ iext(uri_owl_oneOf,X2,esk193_0)
    | ~ icext(X2,X1)
    | X1 = uri_ex_w ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,plain,
    iext(uri_owl_oneOf,esk192_0,esk193_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_24,plain,
    icext(esk192_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

fof(c_0_25,plain,
    ! [X135] : ~ icext(uri_owl_Nothing,X135),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_21])]) ).

cnf(c_0_26,plain,
    X1 = uri_ex_w,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

fof(c_0_27,plain,
    ( iext(uri_owl_distinctMembers,esk121_0,uri_rdf_nil)
    & icext(uri_owl_AllDifferent,esk121_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[owl_ndis_alldifferent_distinctmembers_fi_000])]) ).

cnf(c_0_28,plain,
    ~ icext(uri_owl_Nothing,X1),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_29,plain,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_26,c_0_26]) ).

cnf(c_0_30,plain,
    icext(uri_owl_AllDifferent,esk121_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_31,plain,
    ~ icext(X1,X2),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,plain,
    $false,
    inference(sr,[status(thm)],[c_0_30,c_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB031+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.57  % Computer : n008.cluster.edu
% 0.10/5.57  % Model    : x86_64 x86_64
% 0.10/5.57  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.57  % Memory   : 8046.5625MB
% 0.10/5.57  % OS       : Linux 6.8.0-71-generic
% 0.10/5.57  % CPULimit : 300
% 0.10/5.57  % WCLimit  : 300
% 0.10/5.57  % DateTime : Mon Sep 21 07:43:29 UTC 2026
% 0.10/5.57  % CPUTime  : 
% 0.10/5.57  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.62  Running first-order theorem proving
% 0.15/5.62  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.51/9.33  % Version: 3.5.1
% 7.51/9.33  % Preprocessing class: FSLMSMSLSSSNFFN.
% 7.51/9.33  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.51/9.33  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 7.51/9.33  % Starting new_bool_3 with 600s (2) cores
% 7.51/9.33  % Starting new_bool_1 with 600s (2) cores
% 7.51/9.33  % Starting sh5l with 300s (1) cores
% 7.51/9.33  % new_bool_1 with pid 508355 completed with status 9
% 7.51/9.33  % new_bool_3 with pid 508354 completed with status 9
% 7.51/9.33  % sh5l with pid 508356 completed with status 9
% 7.51/9.33  % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 508353 completed with status 0
% 7.51/9.33  % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 7.51/9.33  % Preprocessing class: FSLMSMSLSSSNFFN.
% 7.51/9.33  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.51/9.33  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 7.51/9.33  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.51/9.33  % No SInE strategy applied
% 7.51/9.33  % Search class: FGHSM-SMLM33-SFFFFFNN
% 7.51/9.33  % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 7.51/9.33  % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 7.51/9.33  % Starting SubtermCWHack with 82s (1) cores
% 7.51/9.33  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 7.51/9.33  % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 82s (1) cores
% 7.51/9.33  % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 508397 completed with status 0
% 7.51/9.33  % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 7.51/9.33  % Preprocessing class: FSLMSMSLSSSNFFN.
% 7.51/9.33  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.51/9.33  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 7.51/9.33  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.51/9.33  % No SInE strategy applied
% 7.51/9.33  % Search class: FGHSM-SMLM33-SFFFFFNN
% 7.51/9.33  % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 7.51/9.33  % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 7.51/9.33  % Starting SubtermCWHack with 82s (1) cores
% 7.51/9.33  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 7.51/9.33  % Preprocessing time       : 0.017 s
% 7.51/9.33  
% 7.51/9.33  % Proof found!
% 7.51/9.33  % SZS status Unsatisfiable
% 7.51/9.33  % SZS output start CNFRefutation
% See solution above
% 7.51/9.33  % Parsed axioms                        : 559
% 7.51/9.33  % Removed by relevancy pruning/SinE    : 0
% 7.51/9.33  % Initial clauses                      : 1270
% 7.51/9.33  % Removed in clause preprocessing      : 111
% 7.51/9.33  % Initial clauses in saturation        : 1159
% 7.51/9.33  % Processed clauses                    : 18256
% 7.51/9.33  % ...of these trivial                  : 432
% 7.51/9.33  % ...subsumed                          : 9354
% 7.51/9.33  % ...remaining for further processing  : 8470
% 7.51/9.33  % Other redundant clauses eliminated   : 16
% 7.51/9.33  % Clauses deleted for lack of memory   : 0
% 7.51/9.33  % Backward-subsumed                    : 265
% 7.51/9.33  % Backward-rewritten                   : 1862
% 7.51/9.33  % Generated clauses                    : 134220
% 7.51/9.33  % ...of the previous two non-redundant : 117815
% 7.51/9.33  % ...aggressively subsumed             : 0
% 7.51/9.33  % Contextual simplify-reflections      : 16
% 7.51/9.33  % Paramodulations                      : 133620
% 7.51/9.33  % Factorizations                       : 0
% 7.51/9.33  % NegExts                              : 0
% 7.51/9.33  % Equation resolutions                 : 16
% 7.51/9.33  % Disequality decompositions           : 0
% 7.51/9.33  % Total rewrite steps                  : 20999
% 7.51/9.33  % ...of those cached                   : 16546
% 7.51/9.33  % Propositional unsat checks           : 0
% 7.51/9.33  %    Propositional check models        : 0
% 7.51/9.33  %    Propositional check unsatisfiable : 0
% 7.51/9.33  %    Propositional clauses             : 0
% 7.51/9.33  %    Propositional clauses after purity: 0
% 7.51/9.33  %    Propositional unsat core size     : 0
% 7.51/9.33  %    Propositional preprocessing time  : 0.000
% 7.51/9.33  %    Propositional encoding time       : 0.000
% 7.51/9.33  %    Propositional solver time         : 0.000
% 7.51/9.33  %    Success case prop preproc time    : 0.000
% 7.51/9.33  %    Success case prop encoding time   : 0.000
% 7.51/9.33  %    Success case prop solver time     : 0.000
% 7.51/9.33  % Current number of processed clauses  : 5743
% 7.51/9.33  %    Positive orientable unit clauses  : 3425
% 7.51/9.33  %    Positive unorientable unit clauses: 1
% 7.51/9.33  %    Negative unit clauses             : 4
% 7.51/9.33  %    Non-unit-clauses                  : 2313
% 7.51/9.33  % Current number of unprocessed clauses: 100717
% 7.51/9.33  % ...number of literals in the above   : 200095
% 7.51/9.33  % Current number of archived formulas  : 0
% 7.51/9.33  % Current number of archived clauses   : 2712
% 7.51/9.33  % Clause-clause subsumption calls (NU) : 5838593
% 7.51/9.33  % Rec. Clause-clause subsumption calls : 4692171
% 7.51/9.33  % Non-unit clause-clause subsumptions  : 8142
% 7.51/9.33  % Unit Clause-clause subsumption calls : 1216259
% 7.51/9.33  % Rewrite failures with RHS unbound    : 323
% 7.51/9.33  % BW rewrite match attempts            : 89601
% 7.51/9.33  % BW rewrite match successes           : 2348
% 7.51/9.33  % Condensation attempts                : 0
% 7.51/9.33  % Condensation successes               : 0
% 7.51/9.33  % Termbank termtop insertions          : 1591356
% 7.51/9.33  % Search garbage collected termcells   : 19101
% 7.51/9.33  
% 7.51/9.33  % -------------------------------------------------
% 7.51/9.33  % User time                : 3.534 s
% 7.51/9.33  % System time              : 0.130 s
% 7.51/9.33  % Total time               : 3.664 s
% 7.51/9.33  % Maximum resident set size: 7508 pages
% 7.51/9.33  
% 7.51/9.33  % -------------------------------------------------
% 7.51/9.33  % User time                : 10.576 s
% 7.51/9.33  % System time              : 0.419 s
% 7.51/9.33  % Total time               : 10.995 s
% 7.51/9.33  % Maximum resident set size: 5376 pages
% 7.51/9.33  % E exiting
%------------------------------------------------------------------------------