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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB008+2 : 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 : n012.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 02:37:56 PM UTC 2026

% Result   : Theorem 0.04s 0.51s
% Output   : CNFRefutation 0.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  11 unt;   0 def)
%            Number of atoms       :   64 (  12 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :   67 (  27   ~;  25   |;  11   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-1 aty)
%            Number of variables   :   34 (   0 sgn  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_char_inversefunctional,axiom,
    ! [X4] :
      ( icext(uri_owl_InverseFunctionalProperty,X4)
    <=> ( ! [X5,X6,X3] :
            ( ( iext(X4,X6,X3)
              & iext(X4,X5,X3) )
           => X5 = X6 )
        & ip(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(rdfs_cext_def,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties,conjecture,
    iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).

fof(testcase_premise_fullish_008_Inverse_Functional_Data_Properties,axiom,
    ( iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
    & iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).

fof(owl_eqdis_sameas,axiom,
    ! [X1,X3] :
      ( iext(uri_owl_sameAs,X1,X3)
    <=> X1 = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(c_0_5,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X15)
        | ~ ip(X15)
        | esk1_1(X15) != esk2_1(X15) )
      & ( icext(uri_owl_InverseFunctionalProperty,X15)
        | ~ ip(X15)
        | iext(X15,esk2_1(X15),esk3_1(X15)) )
      & ( icext(uri_owl_InverseFunctionalProperty,X15)
        | ~ ip(X15)
        | iext(X15,esk1_1(X15),esk3_1(X15)) )
      & ( ~ icext(uri_owl_InverseFunctionalProperty,X11)
        | X12 = X13
        | ~ iext(X11,X13,X14)
        | ~ iext(X11,X12,X14) )
      & ( ~ icext(uri_owl_InverseFunctionalProperty,X11)
        | ip(X11) ) ),
    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_char_inversefunctional])])])])])])]) ).

fof(c_0_6,plain,
    ! [X7,X8] :
      ( ( iext(uri_rdf_type,X7,X8)
        | ~ icext(X8,X7) )
      & ( icext(X8,X7)
        | ~ iext(uri_rdf_type,X7,X8) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).

cnf(c_0_7,plain,
    ( ~ icext(uri_owl_InverseFunctionalProperty,X1)
    | ~ iext(X1,X4,X3)
    | ~ iext(X1,X2,X3)
    | X2 = X4 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( ~ iext(uri_rdf_type,X1,X2)
    | icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties]) ).

cnf(c_0_10,plain,
    ( ~ iext(X3,X1,X4)
    | ~ iext(X3,X2,X4)
    | ~ iext(uri_rdf_type,X3,uri_owl_InverseFunctionalProperty)
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).

fof(c_0_12,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    ( ~ iext(uri_foaf_mbox_sha1sum,X1,X3)
    | ~ iext(uri_foaf_mbox_sha1sum,X2,X3)
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).

fof(c_0_15,plain,
    ! [X9,X10] :
      ( ( iext(uri_owl_sameAs,X9,X10)
        | X9 != X10 )
      & ( X9 = X10
        | ~ iext(uri_owl_sameAs,X9,X10) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])])]) ).

fof(c_0_16,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(fof_nnf,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( ~ iext(uri_foaf_mbox_sha1sum,X1,literal_plain(dat_str_xyz))
    | X1 = uri_ex_robert ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).

cnf(c_0_19,plain,
    ( X1 != X2
    | iext(uri_owl_sameAs,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,plain,
    uri_ex_robert = uri_ex_bob,
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWB008+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.47  % Computer : n012.cluster.edu
% 0.04/0.47  % Model    : x86_64 x86_64
% 0.04/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.47  % Memory   : 8046.5625MB
% 0.04/0.47  % OS       : Linux 6.8.0-71-generic
% 0.04/0.47  % CPULimit : 300
% 0.04/0.47  % WCLimit  : 300
% 0.04/0.47  % DateTime : Mon Sep 21 07:37:37 UTC 2026
% 0.04/0.47  % CPUTime  : 
% 0.04/0.47  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.50  Running first-order theorem proving
% 0.04/0.50  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
% 0.04/0.51  % Version: 3.5.1
% 0.04/0.51  % Preprocessing class: FSSSSMSMSSSNFFN.
% 0.04/0.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.04/0.51  % Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 0.04/0.51  % Starting new_bool_3 with 300s (1) cores
% 0.04/0.51  % Starting new_bool_1 with 300s (1) cores
% 0.04/0.51  % Starting sh5l with 300s (1) cores
% 0.04/0.51  % sh5l with pid 1906736 completed with status 0
% 0.04/0.51  % Result found by sh5l
% 0.04/0.51  % Preprocessing class: FSSSSMSMSSSNFFN.
% 0.04/0.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.04/0.51  % Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 0.04/0.51  % Starting new_bool_3 with 300s (1) cores
% 0.04/0.51  % Starting new_bool_1 with 300s (1) cores
% 0.04/0.51  % Starting sh5l with 300s (1) cores
% 0.04/0.51  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.04/0.51  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.04/0.51  % Search class: FGUSF-FFSS11-SFFFFFNN
% 0.04/0.51  % partial match(1): FGHSF-FFSS11-SFFFFFNN
% 0.04/0.51  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.04/0.51  % Starting SubtermCWHack with 31s (1) cores
% 0.04/0.51  % SubtermCWHack with pid 1906743 completed with status 0
% 0.04/0.51  % Result found by SubtermCWHack
% 0.04/0.51  % Preprocessing class: FSSSSMSMSSSNFFN.
% 0.04/0.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.04/0.51  % Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 0.04/0.51  % Starting new_bool_3 with 300s (1) cores
% 0.04/0.51  % Starting new_bool_1 with 300s (1) cores
% 0.04/0.51  % Starting sh5l with 300s (1) cores
% 0.04/0.51  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.04/0.51  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.04/0.51  % Search class: FGUSF-FFSS11-SFFFFFNN
% 0.04/0.51  % partial match(1): FGHSF-FFSS11-SFFFFFNN
% 0.04/0.51  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.04/0.51  % Starting SubtermCWHack with 31s (1) cores
% 0.04/0.51  % Preprocessing time       : 0.001 s
% 0.04/0.51  
% 0.04/0.51  % Proof found!
% 0.04/0.51  % SZS status Theorem
% 0.04/0.51  % SZS output start CNFRefutation
% See solution above
% 0.04/0.51  % Parsed axioms                        : 5
% 0.04/0.51  % Removed by relevancy pruning/SinE    : 0
% 0.04/0.51  % Initial clauses                      : 14
% 0.04/0.51  % Removed in clause preprocessing      : 0
% 0.04/0.51  % Initial clauses in saturation        : 14
% 0.04/0.51  % Processed clauses                    : 23
% 0.04/0.51  % ...of these trivial                  : 0
% 0.04/0.51  % ...subsumed                          : 0
% 0.04/0.51  % ...remaining for further processing  : 23
% 0.04/0.51  % Other redundant clauses eliminated   : 1
% 0.04/0.51  % Clauses deleted for lack of memory   : 0
% 0.04/0.51  % Backward-subsumed                    : 2
% 0.04/0.51  % Backward-rewritten                   : 3
% 0.04/0.51  % Generated clauses                    : 17
% 0.04/0.51  % ...of the previous two non-redundant : 14
% 0.04/0.51  % ...aggressively subsumed             : 0
% 0.04/0.51  % Contextual simplify-reflections      : 1
% 0.04/0.51  % Paramodulations                      : 16
% 0.04/0.51  % Factorizations                       : 0
% 0.04/0.51  % NegExts                              : 0
% 0.04/0.51  % Equation resolutions                 : 1
% 0.04/0.51  % Disequality decompositions           : 0
% 0.04/0.51  % Total rewrite steps                  : 5
% 0.04/0.51  % ...of those cached                   : 1
% 0.04/0.51  % Propositional unsat checks           : 0
% 0.04/0.51  %    Propositional check models        : 0
% 0.04/0.51  %    Propositional check unsatisfiable : 0
% 0.04/0.51  %    Propositional clauses             : 0
% 0.04/0.51  %    Propositional clauses after purity: 0
% 0.04/0.51  %    Propositional unsat core size     : 0
% 0.04/0.51  %    Propositional preprocessing time  : 0.000
% 0.04/0.51  %    Propositional encoding time       : 0.000
% 0.04/0.51  %    Propositional solver time         : 0.000
% 0.04/0.51  %    Success case prop preproc time    : 0.000
% 0.04/0.51  %    Success case prop encoding time   : 0.000
% 0.04/0.51  %    Success case prop solver time     : 0.000
% 0.04/0.51  % Current number of processed clauses  : 17
% 0.04/0.51  %    Positive orientable unit clauses  : 5
% 0.04/0.51  %    Positive unorientable unit clauses: 0
% 0.04/0.51  %    Negative unit clauses             : 0
% 0.04/0.51  %    Non-unit-clauses                  : 12
% 0.04/0.51  % Current number of unprocessed clauses: 3
% 0.04/0.51  % ...number of literals in the above   : 9
% 0.04/0.51  % Current number of archived formulas  : 0
% 0.04/0.51  % Current number of archived clauses   : 5
% 0.04/0.51  % Clause-clause subsumption calls (NU) : 35
% 0.04/0.51  % Rec. Clause-clause subsumption calls : 23
% 0.04/0.51  % Non-unit clause-clause subsumptions  : 3
% 0.04/0.51  % Unit Clause-clause subsumption calls : 12
% 0.04/0.51  % Rewrite failures with RHS unbound    : 0
% 0.04/0.51  % BW rewrite match attempts            : 3
% 0.04/0.51  % BW rewrite match successes           : 1
% 0.04/0.51  % Condensation attempts                : 0
% 0.04/0.51  % Condensation successes               : 0
% 0.04/0.51  % Termbank termtop insertions          : 1002
% 0.04/0.51  % Search garbage collected termcells   : 173
% 0.04/0.51  
% 0.04/0.51  % -------------------------------------------------
% 0.04/0.51  % User time                : 0.001 s
% 0.04/0.51  % System time              : 0.003 s
% 0.04/0.51  % Total time               : 0.004 s
% 0.04/0.51  % Maximum resident set size: 3636 pages
% 0.04/0.51  
% 0.04/0.51  % -------------------------------------------------
% 0.04/0.51  % User time                : 0.003 s
% 0.04/0.51  % System time              : 0.005 s
% 0.04/0.51  % Total time               : 0.008 s
% 0.04/0.51  % Maximum resident set size: 4608 pages
% 0.04/0.51  % E exiting
%------------------------------------------------------------------------------