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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB017+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 : n011.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 02:38:07 PM UTC 2026

% Result   : Theorem 0.34s 15.55s
% Output   : CNFRefutation 0.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   49 (   6 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :   52 (  23   ~;  16   |;  10   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   24 (   0 sgn  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_017_Built_in_Based_Definitions,conjecture,
    iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).

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

fof(owl_eqdis_propertydisjointwith,axiom,
    ! [X3,X4] :
      ( iext(uri_owl_propertyDisjointWith,X3,X4)
    <=> ( ! [X1,X2] :
            ~ ( iext(X4,X1,X2)
              & iext(X3,X1,X2) )
        & ip(X4)
        & ip(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).

fof(testcase_premise_fullish_017_Built_in_Based_Definitions,axiom,
    ( iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c)
    & iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).

fof(c_0_4,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_017_Built_in_Based_Definitions]) ).

fof(c_0_5,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_6,plain,
    ! [X1,X2] :
      ( iext(uri_owl_differentFrom,X1,X2)
    <=> X1 != X2 ),
    inference(fof_simplification,[status(thm)],[owl_eqdis_differentfrom]) ).

fof(c_0_7,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(fof_nnf,[status(thm)],[c_0_5]) ).

fof(c_0_8,plain,
    ! [X5,X6] :
      ( ( iext(uri_owl_differentFrom,X5,X6)
        | X5 = X6 )
      & ( X5 != X6
        | ~ iext(uri_owl_differentFrom,X5,X6) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

fof(c_0_9,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ( iext(uri_owl_propertyDisjointWith,X11,X12)
        | ~ ip(X12)
        | ~ ip(X11)
        | iext(X12,esk1_2(X11,X12),esk2_2(X11,X12)) )
      & ( iext(uri_owl_propertyDisjointWith,X11,X12)
        | ~ ip(X12)
        | ~ ip(X11)
        | iext(X11,esk1_2(X11,X12),esk2_2(X11,X12)) )
      & ( ~ iext(uri_owl_propertyDisjointWith,X7,X8)
        | ~ iext(X8,X9,X10)
        | ~ iext(X7,X9,X10) )
      & ( ~ iext(uri_owl_propertyDisjointWith,X7,X8)
        | ip(X8) )
      & ( ~ iext(uri_owl_propertyDisjointWith,X7,X8)
        | ip(X7) ) ),
    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_propertydisjointwith])])])])])])]) ).

cnf(c_0_10,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( iext(uri_owl_differentFrom,X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    ( ~ iext(uri_owl_propertyDisjointWith,X1,X4)
    | ~ iext(X4,X2,X3)
    | ~ iext(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]) ).

cnf(c_0_14,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]) ).

cnf(c_0_15,negated_conjecture,
    uri_ex_w = uri_ex_u,
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_16,plain,
    ( ~ iext(uri_ex_notInstanceOf,X1,X2)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    iext(uri_rdf_type,uri_ex_u,uri_ex_c),
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,plain,
    iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]) ).

cnf(c_0_19,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB017+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.34   % Computer : n011.cluster.edu
% 0.08/0.34   % Model    : x86_64 x86_64
% 0.08/0.34   % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34   % Memory   : 8046.5625MB
% 0.08/0.34   % OS       : Linux 6.8.0-71-generic
% 0.11/15.43  % CPULimit : 300
% 0.11/15.43  % WCLimit  : 300
% 0.11/15.43  % DateTime : Mon Sep 21 07:40:41 UTC 2026
% 0.11/15.43  % CPUTime  : 
% 0.11/15.43  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/15.49  Running first-order theorem proving
% 0.11/15.49  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
% 0.34/15.55  % Version: 3.5.1
% 0.34/15.55  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.34/15.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/15.55  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.34/15.55  % Starting new_bool_3 with 300s (1) cores
% 0.34/15.55  % Starting new_bool_1 with 300s (1) cores
% 0.34/15.55  % Starting sh5l with 300s (1) cores
% 0.34/15.55  % sh5l with pid 503207 completed with status 0
% 0.34/15.55  % Result found by sh5l
% 0.34/15.55  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.34/15.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/15.55  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.34/15.55  % Starting new_bool_3 with 300s (1) cores
% 0.34/15.55  % Starting new_bool_1 with 300s (1) cores
% 0.34/15.55  % Starting sh5l with 300s (1) cores
% 0.34/15.55  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.34/15.55  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.34/15.55  % Search class: FGHSF-FFSS22-SFFFFFNN
% 0.34/15.55  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.34/15.55  % Starting SubtermCWHack with 31s (1) cores
% 0.34/15.55  % SubtermCWHack with pid 503211 completed with status 0
% 0.34/15.55  % Result found by SubtermCWHack
% 0.34/15.55  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.34/15.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/15.55  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.34/15.55  % Starting new_bool_3 with 300s (1) cores
% 0.34/15.55  % Starting new_bool_1 with 300s (1) cores
% 0.34/15.55  % Starting sh5l with 300s (1) cores
% 0.34/15.55  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.34/15.55  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.34/15.55  % Search class: FGHSF-FFSS22-SFFFFFNN
% 0.34/15.55  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.34/15.55  % Starting SubtermCWHack with 31s (1) cores
% 0.34/15.55  % Preprocessing time       : 0.002 s
% 0.34/15.55  
% 0.34/15.55  % Proof found!
% 0.34/15.55  % SZS status Theorem
% 0.34/15.55  % SZS output start CNFRefutation
% See solution above
% 0.34/15.55  % Parsed axioms                        : 4
% 0.34/15.55  % Removed by relevancy pruning/SinE    : 0
% 0.34/15.55  % Initial clauses                      : 11
% 0.34/15.55  % Removed in clause preprocessing      : 0
% 0.34/15.55  % Initial clauses in saturation        : 11
% 0.34/15.55  % Processed clauses                    : 16
% 0.34/15.55  % ...of these trivial                  : 0
% 0.34/15.55  % ...subsumed                          : 0
% 0.34/15.55  % ...remaining for further processing  : 16
% 0.34/15.55  % Other redundant clauses eliminated   : 1
% 0.34/15.55  % Clauses deleted for lack of memory   : 0
% 0.34/15.55  % Backward-subsumed                    : 1
% 0.34/15.55  % Backward-rewritten                   : 2
% 0.34/15.55  % Generated clauses                    : 6
% 0.34/15.55  % ...of the previous two non-redundant : 7
% 0.34/15.55  % ...aggressively subsumed             : 0
% 0.34/15.55  % Contextual simplify-reflections      : 0
% 0.34/15.55  % Paramodulations                      : 5
% 0.34/15.55  % Factorizations                       : 0
% 0.34/15.55  % NegExts                              : 0
% 0.34/15.55  % Equation resolutions                 : 1
% 0.34/15.55  % Disequality decompositions           : 0
% 0.34/15.55  % Total rewrite steps                  : 3
% 0.34/15.55  % ...of those cached                   : 1
% 0.34/15.55  % Propositional unsat checks           : 0
% 0.34/15.55  %    Propositional check models        : 0
% 0.34/15.55  %    Propositional check unsatisfiable : 0
% 0.34/15.55  %    Propositional clauses             : 0
% 0.34/15.55  %    Propositional clauses after purity: 0
% 0.34/15.55  %    Propositional unsat core size     : 0
% 0.34/15.55  %    Propositional preprocessing time  : 0.000
% 0.34/15.55  %    Propositional encoding time       : 0.000
% 0.34/15.55  %    Propositional solver time         : 0.000
% 0.34/15.55  %    Success case prop preproc time    : 0.000
% 0.34/15.55  %    Success case prop encoding time   : 0.000
% 0.34/15.55  %    Success case prop solver time     : 0.000
% 0.34/15.55  % Current number of processed clauses  : 12
% 0.34/15.55  %    Positive orientable unit clauses  : 6
% 0.34/15.55  %    Positive unorientable unit clauses: 0
% 0.34/15.55  %    Negative unit clauses             : 1
% 0.34/15.55  %    Non-unit-clauses                  : 5
% 0.34/15.55  % Current number of unprocessed clauses: 2
% 0.34/15.55  % ...number of literals in the above   : 8
% 0.34/15.55  % Current number of archived formulas  : 0
% 0.34/15.55  % Current number of archived clauses   : 3
% 0.34/15.55  % Clause-clause subsumption calls (NU) : 3
% 0.34/15.55  % Rec. Clause-clause subsumption calls : 2
% 0.34/15.55  % Non-unit clause-clause subsumptions  : 0
% 0.34/15.55  % Unit Clause-clause subsumption calls : 4
% 0.34/15.55  % Rewrite failures with RHS unbound    : 0
% 0.34/15.55  % BW rewrite match attempts            : 1
% 0.34/15.55  % BW rewrite match successes           : 1
% 0.34/15.55  % Condensation attempts                : 0
% 0.34/15.55  % Condensation successes               : 0
% 0.34/15.55  % Termbank termtop insertions          : 607
% 0.34/15.55  % Search garbage collected termcells   : 131
% 0.34/15.55  
% 0.34/15.55  % -------------------------------------------------
% 0.34/15.55  % User time                : 0.006 s
% 0.34/15.55  % System time              : 0.002 s
% 0.34/15.55  % Total time               : 0.009 s
% 0.34/15.55  % Maximum resident set size: 3632 pages
% 0.34/15.55  
% 0.34/15.55  % -------------------------------------------------
% 0.34/15.55  % User time                : 0.007 s
% 0.34/15.55  % System time              : 0.009 s
% 0.34/15.55  % Total time               : 0.016 s
% 0.34/15.55  % Maximum resident set size: 4608 pages
% 0.34/15.55  % E exiting
%------------------------------------------------------------------------------