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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB005+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/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 02:37:51 PM UTC 2026

% Result   : Theorem 0.18s 5.51s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   36 (  14 unt;   0 def)
%            Number of atoms       :   92 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   90 (  34   ~;  31   |;  19   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   34 (   7 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(simple_iext_property,axiom,
    ! [X2,X3,X4] :
      ( iext(X3,X2,X4)
     => ip(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).

fof(rdfs_ir_def,axiom,
    ! [X1] :
      ( ir(X1)
    <=> icext(uri_rdfs_Resource,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_ir_def) ).

fof(simple_ir,axiom,
    ! [X1] : ir(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).

fof(owl_class_thing_ext,axiom,
    ! [X1] :
      ( icext(uri_owl_Thing,X1)
    <=> ir(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).

fof(owl_class_objectproperty_ext,axiom,
    ! [X1] :
      ( icext(uri_owl_ObjectProperty,X1)
    <=> ip(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_objectproperty_ext) ).

fof(testcase_premise_fullish_005_Everything_is_a_Resource,axiom,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).

fof(testcase_conclusion_fullish_005_Everything_is_a_Resource,conjecture,
    ( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).

fof(rdfs_cext_def,axiom,
    ! [X1,X5] :
      ( iext(uri_rdf_type,X1,X5)
    <=> icext(X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(rdf_type_ip,axiom,
    ! [X3] :
      ( iext(uri_rdf_type,X3,uri_rdf_Property)
    <=> ip(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).

fof(c_0_9,plain,
    ! [X13,X14,X15] :
      ( ip(X14)
      | ~ iext(X14,X13,X15) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[simple_iext_property])])]) ).

fof(c_0_10,plain,
    ! [X10] :
      ( ( ir(X10)
        | ~ icext(uri_rdfs_Resource,X10) )
      & ( icext(uri_rdfs_Resource,X10)
        | ~ ir(X10) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_ir_def])])]) ).

fof(c_0_11,plain,
    ! [X12] : ir(X12),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

fof(c_0_12,plain,
    ! [X6] :
      ( ( icext(uri_owl_Thing,X6)
        | ~ ir(X6) )
      & ( ir(X6)
        | ~ icext(uri_owl_Thing,X6) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_thing_ext])])]) ).

fof(c_0_13,plain,
    ! [X11] :
      ( ( icext(uri_owl_ObjectProperty,X11)
        | ~ ip(X11) )
      & ( ip(X11)
        | ~ icext(uri_owl_ObjectProperty,X11) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_objectproperty_ext])])]) ).

cnf(c_0_14,plain,
    ( ~ iext(X1,X2,X3)
    | ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_005_Everything_is_a_Resource]) ).

fof(c_0_16,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).

fof(c_0_17,plain,
    ! [X8,X9] :
      ( ( iext(uri_rdf_type,X8,X9)
        | ~ icext(X9,X8) )
      & ( icext(X9,X8)
        | ~ iext(uri_rdf_type,X8,X9) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).

cnf(c_0_18,plain,
    ( ~ ir(X1)
    | icext(uri_rdfs_Resource,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,plain,
    ( ~ ir(X1)
    | icext(uri_owl_Thing,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_21,plain,
    ! [X7] :
      ( ( iext(uri_rdf_type,X7,uri_rdf_Property)
        | ~ ip(X7) )
      & ( ip(X7)
        | ~ iext(uri_rdf_type,X7,uri_rdf_Property) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdf_type_ip])])]) ).

cnf(c_0_22,plain,
    ( ~ ip(X1)
    | icext(uri_owl_ObjectProperty,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,plain,
    ip(uri_ex_p),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

fof(c_0_24,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).

cnf(c_0_25,plain,
    ( ~ icext(X1,X2)
    | iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_26,plain,
    icext(uri_rdfs_Resource,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).

cnf(c_0_27,plain,
    icext(uri_owl_Thing,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_19])]) ).

cnf(c_0_28,plain,
    ( ~ ip(X1)
    | iext(uri_rdf_type,X1,uri_rdf_Property) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,plain,
    icext(uri_owl_ObjectProperty,uri_ex_p),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_31,plain,
    iext(uri_rdf_type,X1,uri_rdfs_Resource),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_32,plain,
    iext(uri_rdf_type,X1,uri_owl_Thing),
    inference(spm,[status(thm)],[c_0_25,c_0_27]) ).

cnf(c_0_33,plain,
    iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
    inference(spm,[status(thm)],[c_0_28,c_0_23]) ).

cnf(c_0_34,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
    inference(spm,[status(thm)],[c_0_25,c_0_29]) ).

cnf(c_0_35,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]),c_0_31]),c_0_32]),c_0_34]),c_0_31]),c_0_32])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB005+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.40  % Computer : n008.cluster.edu
% 0.14/5.40  % Model    : x86_64 x86_64
% 0.14/5.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.40  % Memory   : 8046.5625MB
% 0.14/5.40  % OS       : Linux 6.8.0-71-generic
% 0.14/5.40  % CPULimit : 300
% 0.14/5.40  % WCLimit  : 300
% 0.14/5.40  % DateTime : Mon Sep 21 07:38:16 UTC 2026
% 0.14/5.40  % CPUTime  : 
% 0.14/5.40  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.47  Running first-order theorem proving
% 0.14/5.47  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.18/5.51  % Version: 3.5.1
% 0.18/5.51  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.18/5.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/5.51  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.18/5.51  % Starting new_bool_3 with 300s (1) cores
% 0.18/5.51  % Starting new_bool_1 with 300s (1) cores
% 0.18/5.51  % Starting sh5l with 300s (1) cores
% 0.18/5.51  % new_bool_3 with pid 498230 completed with status 0
% 0.18/5.51  % Result found by new_bool_3
% 0.18/5.51  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.18/5.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/5.51  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.18/5.51  % Starting new_bool_3 with 300s (1) cores
% 0.18/5.51  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/5.51  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/5.51  % Search class: FHHNF-FFSF00-SFFFFFNN
% 0.18/5.51  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/5.51  % Starting SubtermCWHack with 31s (1) cores
% 0.18/5.51  % SubtermCWHack with pid 498237 completed with status 0
% 0.18/5.51  % Result found by SubtermCWHack
% 0.18/5.51  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.18/5.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/5.51  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.18/5.51  % Starting new_bool_3 with 300s (1) cores
% 0.18/5.51  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/5.51  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/5.51  % Search class: FHHNF-FFSF00-SFFFFFNN
% 0.18/5.51  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/5.51  % Starting SubtermCWHack with 31s (1) cores
% 0.18/5.51  % Preprocessing time       : 0.002 s
% 0.18/5.51  
% 0.18/5.51  % Proof found!
% 0.18/5.51  % SZS status Theorem
% 0.18/5.51  % SZS output start CNFRefutation
% See solution above
% 0.18/5.51  % Parsed axioms                        : 9
% 0.18/5.51  % Removed by relevancy pruning/SinE    : 0
% 0.18/5.51  % Initial clauses                      : 14
% 0.18/5.51  % Removed in clause preprocessing      : 0
% 0.18/5.51  % Initial clauses in saturation        : 14
% 0.18/5.51  % Processed clauses                    : 29
% 0.18/5.51  % ...of these trivial                  : 3
% 0.18/5.51  % ...subsumed                          : 0
% 0.18/5.51  % ...remaining for further processing  : 25
% 0.18/5.51  % Other redundant clauses eliminated   : 0
% 0.18/5.51  % Clauses deleted for lack of memory   : 0
% 0.18/5.51  % Backward-subsumed                    : 0
% 0.18/5.51  % Backward-rewritten                   : 0
% 0.18/5.51  % Generated clauses                    : 29
% 0.18/5.51  % ...of the previous two non-redundant : 15
% 0.18/5.51  % ...aggressively subsumed             : 0
% 0.18/5.51  % Contextual simplify-reflections      : 0
% 0.18/5.51  % Paramodulations                      : 29
% 0.18/5.51  % Factorizations                       : 0
% 0.18/5.51  % NegExts                              : 0
% 0.18/5.51  % Equation resolutions                 : 0
% 0.18/5.51  % Disequality decompositions           : 0
% 0.18/5.51  % Total rewrite steps                  : 24
% 0.18/5.51  % ...of those cached                   : 10
% 0.18/5.51  % Propositional unsat checks           : 0
% 0.18/5.51  %    Propositional check models        : 0
% 0.18/5.51  %    Propositional check unsatisfiable : 0
% 0.18/5.51  %    Propositional clauses             : 0
% 0.18/5.51  %    Propositional clauses after purity: 0
% 0.18/5.51  %    Propositional unsat core size     : 0
% 0.18/5.51  %    Propositional preprocessing time  : 0.000
% 0.18/5.51  %    Propositional encoding time       : 0.000
% 0.18/5.51  %    Propositional solver time         : 0.000
% 0.18/5.51  %    Success case prop preproc time    : 0.000
% 0.18/5.51  %    Success case prop encoding time   : 0.000
% 0.18/5.51  %    Success case prop solver time     : 0.000
% 0.18/5.51  % Current number of processed clauses  : 25
% 0.18/5.51  %    Positive orientable unit clauses  : 14
% 0.18/5.51  %    Positive unorientable unit clauses: 0
% 0.18/5.51  %    Negative unit clauses             : 0
% 0.18/5.51  %    Non-unit-clauses                  : 11
% 0.18/5.51  % Current number of unprocessed clauses: 0
% 0.18/5.51  % ...number of literals in the above   : 0
% 0.18/5.51  % Current number of archived formulas  : 0
% 0.18/5.51  % Current number of archived clauses   : 0
% 0.18/5.51  % Clause-clause subsumption calls (NU) : 13
% 0.18/5.51  % Rec. Clause-clause subsumption calls : 11
% 0.18/5.51  % Non-unit clause-clause subsumptions  : 0
% 0.18/5.51  % Unit Clause-clause subsumption calls : 12
% 0.18/5.51  % Rewrite failures with RHS unbound    : 0
% 0.18/5.51  % BW rewrite match attempts            : 7
% 0.18/5.51  % BW rewrite match successes           : 0
% 0.18/5.51  % Condensation attempts                : 0
% 0.18/5.51  % Condensation successes               : 0
% 0.18/5.51  % Termbank termtop insertions          : 1168
% 0.18/5.51  % Search garbage collected termcells   : 137
% 0.18/5.51  
% 0.18/5.51  % -------------------------------------------------
% 0.18/5.51  % User time                : 0.006 s
% 0.18/5.51  % System time              : 0.002 s
% 0.18/5.51  % Total time               : 0.008 s
% 0.18/5.51  % Maximum resident set size: 3636 pages
% 0.18/5.51  
% 0.18/5.51  % -------------------------------------------------
% 0.18/5.51  % User time                : 0.007 s
% 0.18/5.51  % System time              : 0.007 s
% 0.18/5.51  % Total time               : 0.014 s
% 0.18/5.51  % Maximum resident set size: 4864 pages
% 0.18/5.51  % E exiting
%------------------------------------------------------------------------------