TSTP Solution File: SWB005+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWB005+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 19:37:31 EDT 2023

% Result   : Theorem 0.15s 0.47s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   37 (  12 unt;   0 def)
%            Number of atoms       :  101 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  109 (  45   ~;  39   |;  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 (   6 sgn;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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.a5ntAiB7DT/E---3.1_9316.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).

fof(owl_parts_ir_def,axiom,
    ! [X4] :
      ( ir(X4)
    <=> iext(uri_rdf_type,X4,uri_rdfs_Resource) ),
    file('/export/starexec/sandbox/tmp/tmp.a5ntAiB7DT/E---3.1_9316.p',owl_parts_ir_def) ).

fof(simple_ir,axiom,
    ! [X4] : ir(X4),
    file('/export/starexec/sandbox/tmp/tmp.a5ntAiB7DT/E---3.1_9316.p',simple_ir) ).

fof(simple_iext_property,axiom,
    ! [X1,X2,X3] :
      ( iext(X2,X1,X3)
     => ip(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.a5ntAiB7DT/E---3.1_9316.p',simple_iext_property) ).

fof(rdf_type_ip,axiom,
    ! [X2] :
      ( iext(uri_rdf_type,X2,uri_rdf_Property)
    <=> ip(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.a5ntAiB7DT/E---3.1_9316.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.a5ntAiB7DT/E---3.1_9316.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).

fof(owl_class_thing_ext,axiom,
    ! [X4] :
      ( icext(uri_owl_Thing,X4)
    <=> ir(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.a5ntAiB7DT/E---3.1_9316.p',owl_class_thing_ext) ).

fof(rdfs_cext_def,axiom,
    ! [X4,X5] :
      ( iext(uri_rdf_type,X4,X5)
    <=> icext(X5,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.a5ntAiB7DT/E---3.1_9316.p',rdfs_cext_def) ).

fof(owl_class_objectproperty_ext,axiom,
    ! [X4] :
      ( icext(uri_owl_ObjectProperty,X4)
    <=> ip(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.a5ntAiB7DT/E---3.1_9316.p',owl_class_objectproperty_ext) ).

fof(c_0_9,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_10,plain,
    ! [X47] :
      ( ( ~ ir(X47)
        | iext(uri_rdf_type,X47,uri_rdfs_Resource) )
      & ( ~ iext(uri_rdf_type,X47,uri_rdfs_Resource)
        | ir(X47) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_ir_def])]) ).

fof(c_0_11,plain,
    ! [X52] : ir(X52),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

fof(c_0_12,plain,
    ! [X64,X65,X66] :
      ( ~ iext(X65,X64,X66)
      | ip(X65) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[simple_iext_property])]) ).

fof(c_0_13,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_9]) ).

cnf(c_0_14,plain,
    ( iext(uri_rdf_type,X1,uri_rdfs_Resource)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_16,plain,
    ! [X43] :
      ( ( ~ iext(uri_rdf_type,X43,uri_rdf_Property)
        | ip(X43) )
      & ( ~ ip(X43)
        | iext(uri_rdf_type,X43,uri_rdf_Property) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdf_type_ip])]) ).

cnf(c_0_17,plain,
    ( ip(X1)
    | ~ iext(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,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_19,plain,
    ! [X42] :
      ( ( ~ icext(uri_owl_Thing,X42)
        | ir(X42) )
      & ( ~ ir(X42)
        | icext(uri_owl_Thing,X42) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_thing_ext])]) ).

cnf(c_0_20,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_13]) ).

cnf(c_0_21,plain,
    iext(uri_rdf_type,X1,uri_rdfs_Resource),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).

cnf(c_0_22,plain,
    ( iext(uri_rdf_type,X1,uri_rdf_Property)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    ip(uri_ex_p),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

fof(c_0_24,plain,
    ! [X44,X45] :
      ( ( ~ iext(uri_rdf_type,X44,X45)
        | icext(X45,X44) )
      & ( ~ icext(X45,X44)
        | iext(uri_rdf_type,X44,X45) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_25,plain,
    ( icext(uri_owl_Thing,X1)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_26,plain,
    ! [X50] :
      ( ( ~ icext(uri_owl_ObjectProperty,X50)
        | ip(X50) )
      & ( ~ ip(X50)
        | icext(uri_owl_ObjectProperty,X50) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_objectproperty_ext])]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_s,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_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_21]),c_0_21])]) ).

cnf(c_0_28,plain,
    iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,plain,
    icext(uri_owl_Thing,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_15])]) ).

cnf(c_0_31,plain,
    ( icext(uri_owl_ObjectProperty,X1)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]) ).

cnf(c_0_33,plain,
    iext(uri_rdf_type,X1,uri_owl_Thing),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_34,plain,
    ( iext(uri_rdf_type,X1,uri_owl_ObjectProperty)
    | ~ ip(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33]),c_0_33]),c_0_33])]) ).

cnf(c_0_36,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_23]),c_0_35]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : SWB005+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n006.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 20:22:25 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.15/0.44  Running first-order model finding
% 0.15/0.44  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.a5ntAiB7DT/E---3.1_9316.p
% 0.15/0.47  # Version: 3.1pre001
% 0.15/0.47  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.15/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.15/0.47  # Starting new_bool_3 with 600s (2) cores
% 0.15/0.47  # Starting new_bool_1 with 600s (2) cores
% 0.15/0.47  # Starting sh5l with 300s (1) cores
% 0.15/0.47  # new_bool_3 with pid 9394 completed with status 0
% 0.15/0.47  # Result found by new_bool_3
% 0.15/0.47  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.15/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.15/0.47  # Starting new_bool_3 with 600s (2) cores
% 0.15/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.47  # Search class: FGHNF-FFMM22-SFFFFFNN
% 0.15/0.47  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.15/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.15/0.47  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 61s (1) cores
% 0.15/0.47  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 9399 completed with status 0
% 0.15/0.47  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.15/0.47  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.15/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.15/0.47  # Starting new_bool_3 with 600s (2) cores
% 0.15/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.47  # Search class: FGHNF-FFMM22-SFFFFFNN
% 0.15/0.47  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.15/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.15/0.47  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 61s (1) cores
% 0.15/0.47  # Preprocessing time       : 0.003 s
% 0.15/0.47  # Presaturation interreduction done
% 0.15/0.47  
% 0.15/0.47  # Proof found!
% 0.15/0.47  # SZS status Theorem
% 0.15/0.47  # SZS output start CNFRefutation
% See solution above
% 0.15/0.47  # Parsed axioms                        : 560
% 0.15/0.47  # Removed by relevancy pruning/SinE    : 521
% 0.15/0.47  # Initial clauses                      : 57
% 0.15/0.47  # Removed in clause preprocessing      : 0
% 0.15/0.47  # Initial clauses in saturation        : 57
% 0.15/0.47  # Processed clauses                    : 122
% 0.15/0.47  # ...of these trivial                  : 18
% 0.15/0.47  # ...subsumed                          : 5
% 0.15/0.47  # ...remaining for further processing  : 99
% 0.15/0.47  # Other redundant clauses eliminated   : 0
% 0.15/0.47  # Clauses deleted for lack of memory   : 0
% 0.15/0.47  # Backward-subsumed                    : 0
% 0.15/0.47  # Backward-rewritten                   : 4
% 0.15/0.47  # Generated clauses                    : 81
% 0.15/0.47  # ...of the previous two non-redundant : 54
% 0.15/0.47  # ...aggressively subsumed             : 0
% 0.15/0.47  # Contextual simplify-reflections      : 0
% 0.15/0.47  # Paramodulations                      : 81
% 0.15/0.47  # Factorizations                       : 0
% 0.15/0.47  # NegExts                              : 0
% 0.15/0.47  # Equation resolutions                 : 0
% 0.15/0.47  # Total rewrite steps                  : 66
% 0.15/0.47  # Propositional unsat checks           : 0
% 0.15/0.47  #    Propositional check models        : 0
% 0.15/0.47  #    Propositional check unsatisfiable : 0
% 0.15/0.47  #    Propositional clauses             : 0
% 0.15/0.47  #    Propositional clauses after purity: 0
% 0.15/0.47  #    Propositional unsat core size     : 0
% 0.15/0.47  #    Propositional preprocessing time  : 0.000
% 0.15/0.47  #    Propositional encoding time       : 0.000
% 0.15/0.47  #    Propositional solver time         : 0.000
% 0.15/0.47  #    Success case prop preproc time    : 0.000
% 0.15/0.47  #    Success case prop encoding time   : 0.000
% 0.15/0.47  #    Success case prop solver time     : 0.000
% 0.15/0.47  # Current number of processed clauses  : 56
% 0.15/0.47  #    Positive orientable unit clauses  : 29
% 0.15/0.47  #    Positive unorientable unit clauses: 0
% 0.15/0.47  #    Negative unit clauses             : 1
% 0.15/0.47  #    Non-unit-clauses                  : 26
% 0.15/0.47  # Current number of unprocessed clauses: 28
% 0.15/0.47  # ...number of literals in the above   : 85
% 0.15/0.47  # Current number of archived formulas  : 0
% 0.15/0.47  # Current number of archived clauses   : 43
% 0.15/0.47  # Clause-clause subsumption calls (NU) : 195
% 0.15/0.47  # Rec. Clause-clause subsumption calls : 147
% 0.15/0.47  # Non-unit clause-clause subsumptions  : 5
% 0.15/0.47  # Unit Clause-clause subsumption calls : 10
% 0.15/0.47  # Rewrite failures with RHS unbound    : 0
% 0.15/0.47  # BW rewrite match attempts            : 41
% 0.15/0.47  # BW rewrite match successes           : 8
% 0.15/0.47  # Condensation attempts                : 0
% 0.15/0.47  # Condensation successes               : 0
% 0.15/0.47  # Termbank termtop insertions          : 10201
% 0.15/0.47  
% 0.15/0.47  # -------------------------------------------------
% 0.15/0.47  # User time                : 0.005 s
% 0.15/0.47  # System time              : 0.007 s
% 0.15/0.47  # Total time               : 0.012 s
% 0.15/0.47  # Maximum resident set size: 2800 pages
% 0.15/0.47  
% 0.15/0.47  # -------------------------------------------------
% 0.15/0.47  # User time                : 0.022 s
% 0.15/0.47  # System time              : 0.011 s
% 0.15/0.47  # Total time               : 0.033 s
% 0.15/0.47  # Maximum resident set size: 2236 pages
% 0.15/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------