TSTP Solution File: SWB005+2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWB005+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 19:35:48 EDT 2023

% Result   : Theorem 408.03s 136.64s
% Output   : CNFRefutation 408.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   39 (  14 unt;   0 def)
%            Number of atoms       :  108 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  119 (  50   ~;  44   |;  19   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 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/sandbox/tmp/tmp.7RXUrJM4Vz/E---3.1_31543.p',simple_iext_property) ).

fof(testcase_conclusion_fullish_005_Everything_is_a_Resource,conjecture,
    ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    file('/export/starexec/sandbox/tmp/tmp.7RXUrJM4Vz/E---3.1_31543.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).

fof(rdf_type_ip,axiom,
    ! [X3] :
      ( iext(uri_rdf_type,X3,uri_rdf_Property)
    <=> ip(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.7RXUrJM4Vz/E---3.1_31543.p',rdf_type_ip) ).

fof(testcase_premise_fullish_005_Everything_is_a_Resource,axiom,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    file('/export/starexec/sandbox/tmp/tmp.7RXUrJM4Vz/E---3.1_31543.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).

fof(owl_class_objectproperty_ext,axiom,
    ! [X1] :
      ( icext(uri_owl_ObjectProperty,X1)
    <=> ip(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.7RXUrJM4Vz/E---3.1_31543.p',owl_class_objectproperty_ext) ).

fof(rdfs_cext_def,axiom,
    ! [X1,X5] :
      ( iext(uri_rdf_type,X1,X5)
    <=> icext(X5,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.7RXUrJM4Vz/E---3.1_31543.p',rdfs_cext_def) ).

fof(owl_class_thing_ext,axiom,
    ! [X1] :
      ( icext(uri_owl_Thing,X1)
    <=> ir(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.7RXUrJM4Vz/E---3.1_31543.p',owl_class_thing_ext) ).

fof(simple_ir,axiom,
    ! [X1] : ir(X1),
    file('/export/starexec/sandbox/tmp/tmp.7RXUrJM4Vz/E---3.1_31543.p',simple_ir) ).

fof(rdfs_ir_def,axiom,
    ! [X1] :
      ( ir(X1)
    <=> icext(uri_rdfs_Resource,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.7RXUrJM4Vz/E---3.1_31543.p',rdfs_ir_def) ).

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

fof(c_0_10,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).

fof(c_0_11,plain,
    ! [X7] :
      ( ( ~ iext(uri_rdf_type,X7,uri_rdf_Property)
        | ip(X7) )
      & ( ~ ip(X7)
        | iext(uri_rdf_type,X7,uri_rdf_Property) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdf_type_ip])]) ).

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

cnf(c_0_13,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_14,plain,
    ! [X11] :
      ( ( ~ icext(uri_owl_ObjectProperty,X11)
        | ip(X11) )
      & ( ~ ip(X11)
        | icext(uri_owl_ObjectProperty,X11) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_objectproperty_ext])]) ).

fof(c_0_15,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(fof_nnf,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    ( iext(uri_rdf_type,X1,uri_rdf_Property)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    ip(uri_ex_p),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

fof(c_0_18,plain,
    ! [X8,X9] :
      ( ( ~ iext(uri_rdf_type,X8,X9)
        | icext(X9,X8) )
      & ( ~ icext(X9,X8)
        | iext(uri_rdf_type,X8,X9) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_19,plain,
    ( icext(uri_owl_ObjectProperty,X1)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_20,plain,
    ! [X6] :
      ( ( ~ icext(uri_owl_Thing,X6)
        | ir(X6) )
      & ( ~ ir(X6)
        | icext(uri_owl_Thing,X6) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_thing_ext])]) ).

fof(c_0_21,plain,
    ! [X12] : ir(X12),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_24,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    icext(uri_owl_ObjectProperty,uri_ex_p),
    inference(spm,[status(thm)],[c_0_19,c_0_17]) ).

cnf(c_0_26,plain,
    ( icext(uri_owl_Thing,X1)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_28,plain,
    ! [X10] :
      ( ( ~ ir(X10)
        | icext(uri_rdfs_Resource,X10) )
      & ( ~ icext(uri_rdfs_Resource,X10)
        | ir(X10) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_ir_def])]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).

cnf(c_0_30,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_31,plain,
    icext(uri_owl_Thing,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).

cnf(c_0_32,plain,
    ( icext(uri_rdfs_Resource,X1)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).

cnf(c_0_34,plain,
    iext(uri_rdf_type,X1,uri_owl_Thing),
    inference(spm,[status(thm)],[c_0_24,c_0_31]) ).

cnf(c_0_35,plain,
    icext(uri_rdfs_Resource,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_27])]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34]),c_0_34]),c_0_34])]) ).

cnf(c_0_37,plain,
    iext(uri_rdf_type,X1,uri_rdfs_Resource),
    inference(spm,[status(thm)],[c_0_24,c_0_35]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : SWB005+2 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.16  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n027.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 2400
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon Oct  2 20:46:45 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.37/0.53  Running first-order theorem proving
% 0.37/0.53  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/tmp/tmp.7RXUrJM4Vz/E---3.1_31543.p
% 408.03/136.64  # Version: 3.1pre001
% 408.03/136.64  # Preprocessing class: FSMSSMSMSSSNFFN.
% 408.03/136.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.03/136.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 408.03/136.64  # Starting new_bool_3 with 300s (1) cores
% 408.03/136.64  # Starting new_bool_1 with 300s (1) cores
% 408.03/136.64  # Starting sh5l with 300s (1) cores
% 408.03/136.64  # new_bool_1 with pid 31623 completed with status 0
% 408.03/136.64  # Result found by new_bool_1
% 408.03/136.64  # Preprocessing class: FSMSSMSMSSSNFFN.
% 408.03/136.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.03/136.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 408.03/136.64  # Starting new_bool_3 with 300s (1) cores
% 408.03/136.64  # Starting new_bool_1 with 300s (1) cores
% 408.03/136.64  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 408.03/136.64  # Search class: FHHNF-FFSF00-SFFFFFNN
% 408.03/136.64  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.03/136.64  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.03/136.64  # SAT001_MinMin_p005000_rr_RG with pid 31625 completed with status 0
% 408.03/136.64  # Result found by SAT001_MinMin_p005000_rr_RG
% 408.03/136.64  # Preprocessing class: FSMSSMSMSSSNFFN.
% 408.03/136.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.03/136.64  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 408.03/136.64  # Starting new_bool_3 with 300s (1) cores
% 408.03/136.64  # Starting new_bool_1 with 300s (1) cores
% 408.03/136.64  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 408.03/136.64  # Search class: FHHNF-FFSF00-SFFFFFNN
% 408.03/136.64  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.03/136.64  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.03/136.64  # Preprocessing time       : 0.001 s
% 408.03/136.64  # Presaturation interreduction done
% 408.03/136.64  
% 408.03/136.64  # Proof found!
% 408.03/136.64  # SZS status Theorem
% 408.03/136.64  # SZS output start CNFRefutation
% See solution above
% 408.03/136.64  # Parsed axioms                        : 9
% 408.03/136.64  # Removed by relevancy pruning/SinE    : 0
% 408.03/136.64  # Initial clauses                      : 14
% 408.03/136.64  # Removed in clause preprocessing      : 0
% 408.03/136.64  # Initial clauses in saturation        : 14
% 408.03/136.64  # Processed clauses                    : 40
% 408.03/136.64  # ...of these trivial                  : 2
% 408.03/136.64  # ...subsumed                          : 0
% 408.03/136.64  # ...remaining for further processing  : 38
% 408.03/136.64  # Other redundant clauses eliminated   : 0
% 408.03/136.64  # Clauses deleted for lack of memory   : 0
% 408.03/136.64  # Backward-subsumed                    : 0
% 408.03/136.64  # Backward-rewritten                   : 4
% 408.03/136.64  # Generated clauses                    : 21
% 408.03/136.64  # ...of the previous two non-redundant : 16
% 408.03/136.64  # ...aggressively subsumed             : 0
% 408.03/136.64  # Contextual simplify-reflections      : 0
% 408.03/136.64  # Paramodulations                      : 21
% 408.03/136.64  # Factorizations                       : 0
% 408.03/136.64  # NegExts                              : 0
% 408.03/136.64  # Equation resolutions                 : 0
% 408.03/136.64  # Total rewrite steps                  : 18
% 408.03/136.64  # Propositional unsat checks           : 0
% 408.03/136.64  #    Propositional check models        : 0
% 408.03/136.64  #    Propositional check unsatisfiable : 0
% 408.03/136.64  #    Propositional clauses             : 0
% 408.03/136.64  #    Propositional clauses after purity: 0
% 408.03/136.64  #    Propositional unsat core size     : 0
% 408.03/136.64  #    Propositional preprocessing time  : 0.000
% 408.03/136.64  #    Propositional encoding time       : 0.000
% 408.03/136.64  #    Propositional solver time         : 0.000
% 408.03/136.64  #    Success case prop preproc time    : 0.000
% 408.03/136.64  #    Success case prop encoding time   : 0.000
% 408.03/136.64  #    Success case prop solver time     : 0.000
% 408.03/136.64  # Current number of processed clauses  : 22
% 408.03/136.64  #    Positive orientable unit clauses  : 14
% 408.03/136.64  #    Positive unorientable unit clauses: 0
% 408.03/136.64  #    Negative unit clauses             : 0
% 408.03/136.64  #    Non-unit-clauses                  : 8
% 408.03/136.64  # Current number of unprocessed clauses: 2
% 408.03/136.64  # ...number of literals in the above   : 4
% 408.03/136.64  # Current number of archived formulas  : 0
% 408.03/136.64  # Current number of archived clauses   : 16
% 408.03/136.64  # Clause-clause subsumption calls (NU) : 25
% 408.03/136.64  # Rec. Clause-clause subsumption calls : 11
% 408.03/136.64  # Non-unit clause-clause subsumptions  : 0
% 408.03/136.64  # Unit Clause-clause subsumption calls : 12
% 408.03/136.64  # Rewrite failures with RHS unbound    : 0
% 408.03/136.64  # BW rewrite match attempts            : 33
% 408.03/136.64  # BW rewrite match successes           : 8
% 408.03/136.64  # Condensation attempts                : 0
% 408.03/136.64  # Condensation successes               : 0
% 408.03/136.64  # Termbank termtop insertions          : 978
% 408.03/136.64  
% 408.03/136.64  # -------------------------------------------------
% 408.03/136.64  # User time                : 0.005 s
% 408.03/136.64  # System time              : 0.000 s
% 408.03/136.64  # Total time               : 0.005 s
% 408.03/136.64  # Maximum resident set size: 1752 pages
% 408.03/136.64  
% 408.03/136.64  # -------------------------------------------------
% 408.03/136.64  # User time                : 0.007 s
% 408.03/136.64  # System time              : 0.002 s
% 408.03/136.64  # Total time               : 0.009 s
% 408.03/136.64  # Maximum resident set size: 1680 pages
% 408.03/136.64  % E---3.1 exiting
% 408.03/136.64  % E---3.1 exiting
%------------------------------------------------------------------------------