TSTP Solution File: SWB075+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWB075+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:38:44 EDT 2023

% Result   : Theorem 0.19s 0.56s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   37 (  12 unt;   0 def)
%            Number of atoms       :  103 (   0 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  110 (  44   ~;  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)
    <=> ( ir(X4)
        & lv(X7) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DKi8AGzNYn/E---3.1_3808.p',owl_prop_topdataproperty_ext) ).

fof(simple_ir,axiom,
    ! [X4] : ir(X4),
    file('/export/starexec/sandbox2/tmp/tmp.DKi8AGzNYn/E---3.1_3808.p',simple_ir) ).

fof(owl_parts_iodp_cond_inst,axiom,
    ! [X4] :
      ( iodp(X4)
     => ! [X7,X11] :
          ( iext(X4,X7,X11)
         => ( ir(X7)
            & lv(X11) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DKi8AGzNYn/E---3.1_3808.p',owl_parts_iodp_cond_inst) ).

fof(owl_rdfsext_subpropertyof,axiom,
    ! [X33,X34] :
      ( iext(uri_rdfs_subPropertyOf,X33,X34)
    <=> ( ip(X33)
        & ip(X34)
        & ! [X4,X7] :
            ( iext(X33,X4,X7)
           => iext(X34,X4,X7) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DKi8AGzNYn/E---3.1_3808.p',owl_rdfsext_subpropertyof) ).

fof(owl_parts_iodp_cond_set,axiom,
    ! [X4] :
      ( iodp(X4)
     => ip(X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.DKi8AGzNYn/E---3.1_3808.p',owl_parts_iodp_cond_set) ).

fof(simple_iext_property,axiom,
    ! [X1,X2,X3] :
      ( iext(X2,X1,X3)
     => ip(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.DKi8AGzNYn/E---3.1_3808.p',simple_iext_property) ).

fof(owl_prop_topdataproperty_type,axiom,
    iodp(uri_owl_topDataProperty),
    file('/export/starexec/sandbox2/tmp/tmp.DKi8AGzNYn/E---3.1_3808.p',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/tmp/tmp.DKi8AGzNYn/E---3.1_3808.p',owl_parts_iodp_def) ).

fof(conclusion_rdfbased_sem_prop_topdataproperty_term,conjecture,
    iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    file('/export/starexec/sandbox2/tmp/tmp.DKi8AGzNYn/E---3.1_3808.p',conclusion_rdfbased_sem_prop_topdataproperty_term) ).

fof(premise_rdfbased_sem_prop_topdataproperty_term,axiom,
    iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    file('/export/starexec/sandbox2/tmp/tmp.DKi8AGzNYn/E---3.1_3808.p',premise_rdfbased_sem_prop_topdataproperty_term) ).

fof(c_0_10,plain,
    ! [X42,X43] :
      ( ( ir(X42)
        | ~ iext(uri_owl_topDataProperty,X42,X43) )
      & ( lv(X43)
        | ~ iext(uri_owl_topDataProperty,X42,X43) )
      & ( ~ ir(X42)
        | ~ lv(X43)
        | iext(uri_owl_topDataProperty,X42,X43) ) ),
    inference(distribute,[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] :
      ( ( ir(X74)
        | ~ iext(X73,X74,X75)
        | ~ iodp(X73) )
      & ( lv(X75)
        | ~ iext(X73,X74,X75)
        | ~ iodp(X73) ) ),
    inference(distribute,[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] :
      ( ( ip(X52)
        | ~ iext(uri_rdfs_subPropertyOf,X52,X53) )
      & ( ip(X53)
        | ~ iext(uri_rdfs_subPropertyOf,X52,X53) )
      & ( ~ iext(X52,X54,X55)
        | iext(X53,X54,X55)
        | ~ iext(uri_rdfs_subPropertyOf,X52,X53) )
      & ( iext(X56,esk1_2(X56,X57),esk2_2(X56,X57))
        | ~ ip(X56)
        | ~ ip(X57)
        | iext(uri_rdfs_subPropertyOf,X56,X57) )
      & ( ~ iext(X57,esk1_2(X56,X57),esk2_2(X56,X57))
        | ~ ip(X56)
        | ~ ip(X57)
        | iext(uri_rdfs_subPropertyOf,X56,X57) ) ),
    inference(distribute,[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] :
      ( ~ iodp(X76)
      | ip(X76) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_iodp_cond_set])]) ).

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

cnf(c_0_16,plain,
    ( iext(uri_owl_topDataProperty,X1,X2)
    | ~ ir(X1)
    | ~ lv(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,
    ( lv(X1)
    | ~ iext(X2,X3,X1)
    | ~ iodp(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

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

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

cnf(c_0_21,plain,
    ( iext(uri_rdfs_subPropertyOf,X2,X1)
    | ~ iext(X1,esk1_2(X2,X1),esk2_2(X2,X1))
    | ~ ip(X2)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_22,plain,
    ( ip(X1)
    | ~ iext(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    ( iext(uri_owl_topDataProperty,X1,X2)
    | ~ lv(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

cnf(c_0_24,plain,
    ( lv(esk2_2(X1,X2))
    | iext(uri_rdfs_subPropertyOf,X1,X2)
    | ~ iodp(X1)
    | ~ ip(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_25,plain,
    iodp(uri_owl_topDataProperty),
    inference(split_conjunct,[status(thm)],[owl_prop_topdataproperty_type]) ).

cnf(c_0_26,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,X2)
    | ~ ip(X1)
    | ~ iext(X2,esk1_2(X1,X2),esk2_2(X1,X2)) ),
    inference(csr,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,plain,
    ( iext(uri_owl_topDataProperty,X1,esk2_2(X2,X3))
    | iext(uri_rdfs_subPropertyOf,X2,X3)
    | ~ iodp(X2)
    | ~ ip(X3) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,plain,
    ip(uri_owl_topDataProperty),
    inference(spm,[status(thm)],[c_0_20,c_0_25]) ).

fof(c_0_29,plain,
    ! [X77] :
      ( ( ~ iodp(X77)
        | iext(uri_rdf_type,X77,uri_owl_DatatypeProperty) )
      & ( ~ iext(uri_rdf_type,X77,uri_owl_DatatypeProperty)
        | iodp(X77) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_iodp_def])]) ).

fof(c_0_30,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_prop_topdataproperty_term])]) ).

cnf(c_0_31,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,uri_owl_topDataProperty)
    | ~ iodp(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),c_0_20]) ).

cnf(c_0_32,plain,
    ( iodp(X1)
    | ~ iext(uri_rdf_type,X1,uri_owl_DatatypeProperty) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_33,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_34,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,uri_owl_topDataProperty)
    | ~ iext(uri_rdf_type,X1,uri_owl_DatatypeProperty) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,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_36,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWB075+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n001.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 2400
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Oct  2 20:56:07 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.19/0.51  Running first-order model finding
% 0.19/0.51  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.DKi8AGzNYn/E---3.1_3808.p
% 0.19/0.56  # Version: 3.1pre001
% 0.19/0.56  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.19/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.56  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.19/0.56  # Starting new_bool_3 with 600s (2) cores
% 0.19/0.56  # Starting new_bool_1 with 600s (2) cores
% 0.19/0.56  # Starting sh5l with 300s (1) cores
% 0.19/0.56  # new_bool_1 with pid 3920 completed with status 0
% 0.19/0.56  # Result found by new_bool_1
% 0.19/0.56  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.19/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.56  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.19/0.56  # Starting new_bool_3 with 600s (2) cores
% 0.19/0.56  # Starting new_bool_1 with 600s (2) cores
% 0.19/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.56  # Search class: FGUNF-FFMM22-SFFFFFNN
% 0.19/0.56  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.19/0.56  # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.19/0.56  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 61s (1) cores
% 0.19/0.56  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 3925 completed with status 0
% 0.19/0.56  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.19/0.56  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.19/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.56  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.19/0.56  # Starting new_bool_3 with 600s (2) cores
% 0.19/0.56  # Starting new_bool_1 with 600s (2) cores
% 0.19/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.56  # Search class: FGUNF-FFMM22-SFFFFFNN
% 0.19/0.56  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.19/0.56  # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.19/0.56  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 61s (1) cores
% 0.19/0.56  # Preprocessing time       : 0.002 s
% 0.19/0.56  # Presaturation interreduction done
% 0.19/0.56  
% 0.19/0.56  # Proof found!
% 0.19/0.56  # SZS status Theorem
% 0.19/0.56  # SZS output start CNFRefutation
% See solution above
% 0.19/0.56  # Parsed axioms                        : 560
% 0.19/0.56  # Removed by relevancy pruning/SinE    : 512
% 0.19/0.56  # Initial clauses                      : 75
% 0.19/0.56  # Removed in clause preprocessing      : 0
% 0.19/0.56  # Initial clauses in saturation        : 75
% 0.19/0.56  # Processed clauses                    : 552
% 0.19/0.56  # ...of these trivial                  : 18
% 0.19/0.56  # ...subsumed                          : 189
% 0.19/0.56  # ...remaining for further processing  : 345
% 0.19/0.56  # Other redundant clauses eliminated   : 0
% 0.19/0.56  # Clauses deleted for lack of memory   : 0
% 0.19/0.56  # Backward-subsumed                    : 4
% 0.19/0.56  # Backward-rewritten                   : 4
% 0.19/0.56  # Generated clauses                    : 668
% 0.19/0.56  # ...of the previous two non-redundant : 509
% 0.19/0.56  # ...aggressively subsumed             : 0
% 0.19/0.56  # Contextual simplify-reflections      : 6
% 0.19/0.56  # Paramodulations                      : 668
% 0.19/0.56  # Factorizations                       : 0
% 0.19/0.56  # NegExts                              : 0
% 0.19/0.56  # Equation resolutions                 : 0
% 0.19/0.56  # Total rewrite steps                  : 297
% 0.19/0.56  # Propositional unsat checks           : 0
% 0.19/0.56  #    Propositional check models        : 0
% 0.19/0.56  #    Propositional check unsatisfiable : 0
% 0.19/0.56  #    Propositional clauses             : 0
% 0.19/0.56  #    Propositional clauses after purity: 0
% 0.19/0.56  #    Propositional unsat core size     : 0
% 0.19/0.56  #    Propositional preprocessing time  : 0.000
% 0.19/0.56  #    Propositional encoding time       : 0.000
% 0.19/0.56  #    Propositional solver time         : 0.000
% 0.19/0.56  #    Success case prop preproc time    : 0.000
% 0.19/0.56  #    Success case prop encoding time   : 0.000
% 0.19/0.56  #    Success case prop solver time     : 0.000
% 0.19/0.56  # Current number of processed clauses  : 284
% 0.19/0.56  #    Positive orientable unit clauses  : 48
% 0.19/0.56  #    Positive unorientable unit clauses: 0
% 0.19/0.56  #    Negative unit clauses             : 1
% 0.19/0.56  #    Non-unit-clauses                  : 235
% 0.19/0.56  # Current number of unprocessed clauses: 60
% 0.19/0.56  # ...number of literals in the above   : 299
% 0.19/0.56  # Current number of archived formulas  : 0
% 0.19/0.56  # Current number of archived clauses   : 61
% 0.19/0.56  # Clause-clause subsumption calls (NU) : 7519
% 0.19/0.56  # Rec. Clause-clause subsumption calls : 4582
% 0.19/0.56  # Non-unit clause-clause subsumptions  : 197
% 0.19/0.56  # Unit Clause-clause subsumption calls : 12
% 0.19/0.56  # Rewrite failures with RHS unbound    : 0
% 0.19/0.56  # BW rewrite match attempts            : 25
% 0.19/0.56  # BW rewrite match successes           : 5
% 0.19/0.56  # Condensation attempts                : 0
% 0.19/0.56  # Condensation successes               : 0
% 0.19/0.56  # Termbank termtop insertions          : 18669
% 0.19/0.56  
% 0.19/0.56  # -------------------------------------------------
% 0.19/0.56  # User time                : 0.024 s
% 0.19/0.56  # System time              : 0.006 s
% 0.19/0.56  # Total time               : 0.030 s
% 0.19/0.56  # Maximum resident set size: 2648 pages
% 0.19/0.56  
% 0.19/0.56  # -------------------------------------------------
% 0.19/0.56  # User time                : 0.059 s
% 0.19/0.56  # System time              : 0.011 s
% 0.19/0.56  # Total time               : 0.069 s
% 0.19/0.56  # Maximum resident set size: 2232 pages
% 0.19/0.56  % E---3.1 exiting
%------------------------------------------------------------------------------