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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB018+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 : n016.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 02:38:08 PM UTC 2026

% Result   : Theorem 0.13s 5.42s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  10 unt;   0 def)
%            Number of atoms       :   39 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   33 (  15   ~;  11   |;   4   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   29 (   4 sgn  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(rdfs_domain_main,axiom,
    ! [X3,X2,X1,X4] :
      ( ( iext(X3,X1,X4)
        & iext(uri_rdfs_domain,X3,X2) )
     => icext(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).

fof(owl_eqdis_sameas,axiom,
    ! [X1,X4] :
      ( iext(uri_owl_sameAs,X1,X4)
    <=> X1 = X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics,conjecture,
    iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

fof(testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics,axiom,
    ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
    & iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

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(c_0_5,plain,
    ! [X7,X8,X9,X10] :
      ( icext(X8,X9)
      | ~ iext(X7,X9,X10)
      | ~ iext(uri_rdfs_domain,X7,X8) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_domain_main])])]) ).

fof(c_0_6,plain,
    ! [X11,X12] :
      ( ( iext(uri_owl_sameAs,X11,X12)
        | X11 != X12 )
      & ( X11 = X12
        | ~ iext(uri_owl_sameAs,X11,X12) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])])]) ).

fof(c_0_7,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics]) ).

cnf(c_0_8,plain,
    ( ~ iext(X1,X3,X4)
    | ~ iext(uri_rdfs_domain,X1,X2)
    | icext(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics]) ).

cnf(c_0_10,plain,
    ( X1 != X2
    | iext(uri_owl_sameAs,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_11,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_12,plain,
    ! [X5,X6] :
      ( ( iext(uri_rdf_type,X5,X6)
        | ~ icext(X6,X5) )
      & ( icext(X6,X5)
        | ~ iext(uri_rdf_type,X5,X6) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).

cnf(c_0_13,plain,
    ( ~ iext(uri_owl_sameAs,X1,X2)
    | icext(uri_ex_Person,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_14,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[c_0_10]) ).

fof(c_0_15,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(fof_nnf,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ( ~ icext(X1,X2)
    | iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    icext(uri_ex_Person,X1),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,plain,
    iext(uri_rdf_type,X1,uri_ex_Person),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB018+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/5.36  % Computer : n016.cluster.edu
% 0.09/5.36  % Model    : x86_64 x86_64
% 0.09/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36  % Memory   : 8046.5625MB
% 0.09/5.36  % OS       : Linux 6.8.0-71-generic
% 0.09/5.36  % CPULimit : 300
% 0.09/5.36  % WCLimit  : 300
% 0.09/5.36  % DateTime : Mon Sep 21 07:45:01 UTC 2026
% 0.09/5.37  % CPUTime  : 
% 0.09/5.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.41  Running first-order theorem proving
% 0.13/5.41  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
% 0.13/5.42  % Version: 3.5.1
% 0.13/5.42  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/5.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.42  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/5.42  % Starting new_bool_3 with 300s (1) cores
% 0.13/5.42  % Starting new_bool_1 with 300s (1) cores
% 0.13/5.42  % Starting sh5l with 300s (1) cores
% 0.13/5.42  % sh5l with pid 1930493 completed with status 0
% 0.13/5.42  % Result found by sh5l
% 0.13/5.42  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/5.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.42  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/5.42  % Starting new_bool_3 with 300s (1) cores
% 0.13/5.42  % Starting new_bool_1 with 300s (1) cores
% 0.13/5.42  % Starting sh5l with 300s (1) cores
% 0.13/5.42  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.13/5.42  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/5.42  % Search class: FHUSF-FFSF00-SFFFFFNN
% 0.13/5.42  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/5.42  % Starting SubtermCWHack with 31s (1) cores
% 0.13/5.42  % SubtermCWHack with pid 1930499 completed with status 0
% 0.13/5.42  % Result found by SubtermCWHack
% 0.13/5.42  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/5.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.42  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/5.42  % Starting new_bool_3 with 300s (1) cores
% 0.13/5.42  % Starting new_bool_1 with 300s (1) cores
% 0.13/5.42  % Starting sh5l with 300s (1) cores
% 0.13/5.42  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.13/5.42  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/5.42  % Search class: FHUSF-FFSF00-SFFFFFNN
% 0.13/5.42  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/5.42  % Starting SubtermCWHack with 31s (1) cores
% 0.13/5.42  % Preprocessing time       : 0.001 s
% 0.13/5.42  
% 0.13/5.42  % Proof found!
% 0.13/5.42  % SZS status Theorem
% 0.13/5.42  % SZS output start CNFRefutation
% See solution above
% 0.13/5.42  % Parsed axioms                        : 5
% 0.13/5.42  % Removed by relevancy pruning/SinE    : 0
% 0.13/5.42  % Initial clauses                      : 8
% 0.13/5.42  % Removed in clause preprocessing      : 0
% 0.13/5.42  % Initial clauses in saturation        : 8
% 0.13/5.42  % Processed clauses                    : 13
% 0.13/5.42  % ...of these trivial                  : 0
% 0.13/5.42  % ...subsumed                          : 0
% 0.13/5.42  % ...remaining for further processing  : 13
% 0.13/5.42  % Other redundant clauses eliminated   : 1
% 0.13/5.42  % Clauses deleted for lack of memory   : 0
% 0.13/5.42  % Backward-subsumed                    : 0
% 0.13/5.42  % Backward-rewritten                   : 3
% 0.13/5.42  % Generated clauses                    : 6
% 0.13/5.42  % ...of the previous two non-redundant : 5
% 0.13/5.42  % ...aggressively subsumed             : 0
% 0.13/5.42  % Contextual simplify-reflections      : 0
% 0.13/5.42  % Paramodulations                      : 5
% 0.13/5.42  % Factorizations                       : 0
% 0.13/5.42  % NegExts                              : 0
% 0.13/5.42  % Equation resolutions                 : 1
% 0.13/5.42  % Disequality decompositions           : 0
% 0.13/5.42  % Total rewrite steps                  : 4
% 0.13/5.42  % ...of those cached                   : 0
% 0.13/5.42  % Propositional unsat checks           : 0
% 0.13/5.42  %    Propositional check models        : 0
% 0.13/5.42  %    Propositional check unsatisfiable : 0
% 0.13/5.42  %    Propositional clauses             : 0
% 0.13/5.42  %    Propositional clauses after purity: 0
% 0.13/5.42  %    Propositional unsat core size     : 0
% 0.13/5.42  %    Propositional preprocessing time  : 0.000
% 0.13/5.42  %    Propositional encoding time       : 0.000
% 0.13/5.42  %    Propositional solver time         : 0.000
% 0.13/5.42  %    Success case prop preproc time    : 0.000
% 0.13/5.42  %    Success case prop encoding time   : 0.000
% 0.13/5.42  %    Success case prop solver time     : 0.000
% 0.13/5.42  % Current number of processed clauses  : 9
% 0.13/5.42  %    Positive orientable unit clauses  : 5
% 0.13/5.42  %    Positive unorientable unit clauses: 0
% 0.13/5.42  %    Negative unit clauses             : 0
% 0.13/5.42  %    Non-unit-clauses                  : 4
% 0.13/5.42  % Current number of unprocessed clauses: 0
% 0.13/5.42  % ...number of literals in the above   : 0
% 0.13/5.42  % Current number of archived formulas  : 0
% 0.13/5.42  % Current number of archived clauses   : 3
% 0.13/5.42  % Clause-clause subsumption calls (NU) : 1
% 0.13/5.42  % Rec. Clause-clause subsumption calls : 1
% 0.13/5.42  % Non-unit clause-clause subsumptions  : 0
% 0.13/5.42  % Unit Clause-clause subsumption calls : 0
% 0.13/5.42  % Rewrite failures with RHS unbound    : 0
% 0.13/5.42  % BW rewrite match attempts            : 6
% 0.13/5.42  % BW rewrite match successes           : 3
% 0.13/5.42  % Condensation attempts                : 0
% 0.13/5.42  % Condensation successes               : 0
% 0.13/5.42  % Termbank termtop insertions          : 458
% 0.13/5.42  % Search garbage collected termcells   : 65
% 0.13/5.42  
% 0.13/5.42  % -------------------------------------------------
% 0.13/5.42  % User time                : 0.004 s
% 0.13/5.42  % System time              : 0.001 s
% 0.13/5.42  % Total time               : 0.005 s
% 0.13/5.42  % Maximum resident set size: 3632 pages
% 0.13/5.42  
% 0.13/5.42  % -------------------------------------------------
% 0.13/5.42  % User time                : 0.007 s
% 0.13/5.42  % System time              : 0.001 s
% 0.13/5.42  % Total time               : 0.008 s
% 0.13/5.42  % Maximum resident set size: 4608 pages
% 0.13/5.42  % E exiting
%------------------------------------------------------------------------------