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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB075+1 : 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 : n003.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 02:38:37 PM UTC 2026

% Result   : Theorem 0.25s 0.63s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   39 (  14 unt;   0 def)
%            Number of atoms       :  105 (   0 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  112 (  46   ~;  46   |;  12   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   58 (   6 sgn  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_prop_topdataproperty_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_topDataProperty,X4,X7)
    <=> ( lv(X7)
        & ir(X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_topdataproperty_ext) ).

fof(simple_ir,axiom,
    ! [X4] : ir(X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',simple_ir) ).

fof(owl_parts_iodp_cond_inst,axiom,
    ! [X4] :
      ( iodp(X4)
     => ! [X7,X11] :
          ( iext(X4,X7,X11)
         => ( lv(X11)
            & ir(X7) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_parts_iodp_cond_inst) ).

fof(owl_rdfsext_subpropertyof,axiom,
    ! [X33,X34] :
      ( iext(uri_rdfs_subPropertyOf,X33,X34)
    <=> ( ! [X4,X7] :
            ( iext(X33,X4,X7)
           => iext(X34,X4,X7) )
        & ip(X34)
        & ip(X33) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subpropertyof) ).

fof(owl_parts_iodp_cond_set,axiom,
    ! [X4] :
      ( iodp(X4)
     => ip(X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_parts_iodp_cond_set) ).

fof(simple_iext_property,axiom,
    ! [X1,X2,X3] :
      ( iext(X2,X1,X3)
     => ip(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).

fof(conclusion_rdfbased_sem_prop_topdataproperty_term,conjecture,
    iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_prop_topdataproperty_term) ).

fof(owl_prop_topdataproperty_type,axiom,
    iodp(uri_owl_topDataProperty),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_topdataproperty_type) ).

fof(owl_parts_iodp_def,axiom,
    ! [X4] :
      ( iodp(X4)
    <=> iext(uri_rdf_type,X4,uri_owl_DatatypeProperty) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_parts_iodp_def) ).

fof(premise_rdfbased_sem_prop_topdataproperty_term,axiom,
    iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_prop_topdataproperty_term) ).

fof(c_0_10,plain,
    ! [X42,X43] :
      ( ( iext(uri_owl_topDataProperty,X42,X43)
        | ~ lv(X43)
        | ~ ir(X42) )
      & ( ~ iext(uri_owl_topDataProperty,X42,X43)
        | lv(X43) )
      & ( ~ iext(uri_owl_topDataProperty,X42,X43)
        | ir(X42) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_topdataproperty_ext])])])]) ).

fof(c_0_11,plain,
    ! [X64] : ir(X64),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

fof(c_0_12,plain,
    ! [X73,X74,X75] :
      ( ( ~ iodp(X73)
        | ~ iext(X73,X74,X75)
        | lv(X75) )
      & ( ~ iodp(X73)
        | ~ iext(X73,X74,X75)
        | ir(X74) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_iodp_cond_inst])])])])]) ).

fof(c_0_13,plain,
    ! [X52,X53,X54,X55,X56,X57] :
      ( ( iext(uri_rdfs_subPropertyOf,X56,X57)
        | ~ ip(X57)
        | ~ ip(X56)
        | ~ iext(X57,esk1_2(X56,X57),esk2_2(X56,X57)) )
      & ( iext(uri_rdfs_subPropertyOf,X56,X57)
        | ~ ip(X57)
        | ~ ip(X56)
        | iext(X56,esk1_2(X56,X57),esk2_2(X56,X57)) )
      & ( ~ iext(uri_rdfs_subPropertyOf,X52,X53)
        | iext(X53,X54,X55)
        | ~ iext(X52,X54,X55) )
      & ( ~ iext(uri_rdfs_subPropertyOf,X52,X53)
        | ip(X53) )
      & ( ~ iext(uri_rdfs_subPropertyOf,X52,X53)
        | ip(X52) ) ),
    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_rdfsext_subpropertyof])])])])])])]) ).

fof(c_0_14,plain,
    ! [X76] :
      ( ip(X76)
      | ~ iodp(X76) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_iodp_cond_set])])]) ).

fof(c_0_15,plain,
    ! [X97,X98,X99] :
      ( ip(X98)
      | ~ iext(X98,X97,X99) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[simple_iext_property])])]) ).

cnf(c_0_16,plain,
    ( ~ lv(X2)
    | ~ ir(X1)
    | iext(uri_owl_topDataProperty,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,plain,
    ( ~ iodp(X2)
    | ~ iext(X2,X3,X1)
    | lv(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ( ~ ip(X2)
    | ~ ip(X1)
    | iext(uri_rdfs_subPropertyOf,X1,X2)
    | iext(X1,esk1_2(X1,X2),esk2_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,plain,
    ( ~ iodp(X1)
    | ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_21,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_prop_topdataproperty_term]) ).

cnf(c_0_22,plain,
    ( ~ ip(X1)
    | ~ ip(X2)
    | ~ iext(X1,esk1_2(X2,X1),esk2_2(X2,X1))
    | iext(uri_rdfs_subPropertyOf,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,plain,
    ( ~ iext(X1,X2,X3)
    | ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,plain,
    ( ~ lv(X2)
    | iext(uri_owl_topDataProperty,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

cnf(c_0_25,plain,
    ( ~ ip(X2)
    | ~ iodp(X1)
    | iext(uri_rdfs_subPropertyOf,X1,X2)
    | lv(esk2_2(X1,X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_26,plain,
    iodp(uri_owl_topDataProperty),
    inference(split_conjunct,[status(thm)],[owl_prop_topdataproperty_type]) ).

fof(c_0_27,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

cnf(c_0_28,plain,
    ( ~ iext(X2,esk1_2(X1,X2),esk2_2(X1,X2))
    | ~ ip(X1)
    | iext(uri_rdfs_subPropertyOf,X1,X2) ),
    inference(csr,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,plain,
    ( ~ ip(X3)
    | ~ iodp(X2)
    | iext(uri_rdfs_subPropertyOf,X2,X3)
    | iext(uri_owl_topDataProperty,X1,esk2_2(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,plain,
    ip(uri_owl_topDataProperty),
    inference(spm,[status(thm)],[c_0_20,c_0_26]) ).

fof(c_0_31,plain,
    ! [X77] :
      ( ( iodp(X77)
        | ~ iext(uri_rdf_type,X77,uri_owl_DatatypeProperty) )
      & ( iext(uri_rdf_type,X77,uri_owl_DatatypeProperty)
        | ~ iodp(X77) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_iodp_def])])]) ).

fof(c_0_32,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(fof_nnf,[status(thm)],[c_0_27]) ).

cnf(c_0_33,plain,
    ( ~ iodp(X1)
    | iext(uri_rdfs_subPropertyOf,X1,uri_owl_topDataProperty) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),c_0_20]) ).

cnf(c_0_34,plain,
    ( ~ iext(uri_rdf_type,X1,uri_owl_DatatypeProperty)
    | iodp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_36,plain,
    ( ~ iext(uri_rdf_type,X1,uri_owl_DatatypeProperty)
    | iext(uri_rdfs_subPropertyOf,X1,uri_owl_topDataProperty) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_prop_topdataproperty_term]) ).

cnf(c_0_38,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB075+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.42  % Computer : n003.cluster.edu
% 0.17/0.42  % Model    : x86_64 x86_64
% 0.17/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42  % Memory   : 8046.5625MB
% 0.17/0.42  % OS       : Linux 6.8.0-71-generic
% 0.17/0.42  % CPULimit : 300
% 0.17/0.42  % WCLimit  : 300
% 0.17/0.42  % DateTime : Mon Sep 21 07:47:15 UTC 2026
% 0.17/0.42  % CPUTime  : 
% 0.17/0.42  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.50  Running first-order theorem proving
% 0.17/0.50  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
% 0.25/0.63  % Version: 3.5.1
% 0.25/0.63  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.25/0.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.63  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.25/0.63  % Starting new_bool_3 with 600s (2) cores
% 0.25/0.63  % Starting new_bool_1 with 600s (2) cores
% 0.25/0.63  % Starting sh5l with 300s (1) cores
% 0.25/0.63  % new_bool_1 with pid 3779337 completed with status 0
% 0.25/0.63  % Result found by new_bool_1
% 0.25/0.63  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.25/0.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.63  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.25/0.63  % Starting new_bool_3 with 600s (2) cores
% 0.25/0.63  % Starting new_bool_1 with 600s (2) cores
% 0.25/0.63  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.25/0.63  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/0.63  % Search class: FGUNF-FFMM22-SFFFFFNN
% 0.25/0.63  % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.25/0.63  % Starting SubtermCWHack with 61s (1) cores
% 0.25/0.63  % Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.25/0.63  % SubtermCWHack with pid 3779340 completed with status 0
% 0.25/0.63  % Result found by SubtermCWHack
% 0.25/0.63  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.25/0.63  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.63  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.25/0.63  % Starting new_bool_3 with 600s (2) cores
% 0.25/0.63  % Starting new_bool_1 with 600s (2) cores
% 0.25/0.63  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.25/0.63  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/0.63  % Search class: FGUNF-FFMM22-SFFFFFNN
% 0.25/0.63  % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.25/0.63  % Starting SubtermCWHack with 61s (1) cores
% 0.25/0.63  % Preprocessing time       : 0.004 s
% 0.25/0.63  
% 0.25/0.63  % Proof found!
% 0.25/0.63  % SZS status Theorem
% 0.25/0.63  % SZS output start CNFRefutation
% See solution above
% 0.25/0.63  % Parsed axioms                        : 560
% 0.25/0.63  % Removed by relevancy pruning/SinE    : 512
% 0.25/0.63  % Initial clauses                      : 75
% 0.25/0.63  % Removed in clause preprocessing      : 0
% 0.25/0.63  % Initial clauses in saturation        : 75
% 0.25/0.63  % Processed clauses                    : 458
% 0.25/0.63  % ...of these trivial                  : 17
% 0.25/0.63  % ...subsumed                          : 170
% 0.25/0.63  % ...remaining for further processing  : 271
% 0.25/0.63  % Other redundant clauses eliminated   : 0
% 0.25/0.63  % Clauses deleted for lack of memory   : 0
% 0.25/0.63  % Backward-subsumed                    : 1
% 0.25/0.63  % Backward-rewritten                   : 3
% 0.25/0.63  % Generated clauses                    : 622
% 0.25/0.63  % ...of the previous two non-redundant : 458
% 0.25/0.63  % ...aggressively subsumed             : 0
% 0.25/0.63  % Contextual simplify-reflections      : 5
% 0.25/0.63  % Paramodulations                      : 622
% 0.25/0.63  % Factorizations                       : 0
% 0.25/0.63  % NegExts                              : 0
% 0.25/0.63  % Equation resolutions                 : 0
% 0.25/0.63  % Disequality decompositions           : 0
% 0.25/0.63  % Total rewrite steps                  : 289
% 0.25/0.63  % ...of those cached                   : 257
% 0.25/0.63  % Propositional unsat checks           : 0
% 0.25/0.63  %    Propositional check models        : 0
% 0.25/0.63  %    Propositional check unsatisfiable : 0
% 0.25/0.63  %    Propositional clauses             : 0
% 0.25/0.63  %    Propositional clauses after purity: 0
% 0.25/0.63  %    Propositional unsat core size     : 0
% 0.25/0.63  %    Propositional preprocessing time  : 0.000
% 0.25/0.63  %    Propositional encoding time       : 0.000
% 0.25/0.63  %    Propositional solver time         : 0.000
% 0.25/0.63  %    Success case prop preproc time    : 0.000
% 0.25/0.63  %    Success case prop encoding time   : 0.000
% 0.25/0.63  %    Success case prop solver time     : 0.000
% 0.25/0.63  % Current number of processed clauses  : 267
% 0.25/0.63  %    Positive orientable unit clauses  : 48
% 0.25/0.63  %    Positive unorientable unit clauses: 0
% 0.25/0.63  %    Negative unit clauses             : 1
% 0.25/0.63  %    Non-unit-clauses                  : 218
% 0.25/0.63  % Current number of unprocessed clauses: 74
% 0.25/0.63  % ...number of literals in the above   : 348
% 0.25/0.63  % Current number of archived formulas  : 0
% 0.25/0.63  % Current number of archived clauses   : 4
% 0.25/0.63  % Clause-clause subsumption calls (NU) : 5746
% 0.25/0.63  % Rec. Clause-clause subsumption calls : 3996
% 0.25/0.63  % Non-unit clause-clause subsumptions  : 176
% 0.25/0.63  % Unit Clause-clause subsumption calls : 75
% 0.25/0.63  % Rewrite failures with RHS unbound    : 0
% 0.25/0.63  % BW rewrite match attempts            : 16
% 0.25/0.63  % BW rewrite match successes           : 2
% 0.25/0.63  % Condensation attempts                : 0
% 0.25/0.63  % Condensation successes               : 0
% 0.25/0.63  % Termbank termtop insertions          : 18140
% 0.25/0.63  % Search garbage collected termcells   : 3525
% 0.25/0.63  
% 0.25/0.63  % -------------------------------------------------
% 0.25/0.63  % User time                : 0.043 s
% 0.25/0.63  % System time              : 0.010 s
% 0.25/0.63  % Total time               : 0.053 s
% 0.25/0.63  % Maximum resident set size: 4436 pages
% 0.25/0.63  
% 0.25/0.63  % -------------------------------------------------
% 0.25/0.63  % User time                : 0.103 s
% 0.25/0.63  % System time              : 0.024 s
% 0.25/0.63  % Total time               : 0.127 s
% 0.25/0.63  % Maximum resident set size: 5120 pages
% 0.25/0.63  % E exiting
%------------------------------------------------------------------------------