TSTP Solution File: SWB014+2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWB014+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 19:36:07 EDT 2023

% Result   : Theorem 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   30 (  13 unt;   0 def)
%            Number of atoms       :  152 (   0 equ)
%            Maximal formula atoms :   71 (   5 avg)
%            Number of connectives :  204 (  82   ~;  87   |;  31   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  12 con; 0-5 aty)
%            Number of variables   :   41 (   0 sgn;  18   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_bool_unionof_class_002,axiom,
    ! [X3,X4,X5,X6,X7] :
      ( ( iext(uri_rdf_first,X4,X5)
        & iext(uri_rdf_rest,X4,X6)
        & iext(uri_rdf_first,X6,X7)
        & iext(uri_rdf_rest,X6,uri_rdf_nil) )
     => ( iext(uri_owl_unionOf,X3,X4)
      <=> ( ic(X3)
          & ic(X5)
          & ic(X7)
          & ! [X1] :
              ( icext(X3,X1)
            <=> ( icext(X5,X1)
                | icext(X7,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.5uptZF4bpC/E---3.1_4127.p',owl_bool_unionof_class_002) ).

fof(testcase_premise_fullish_014_Harry_belongs_to_some_Species,axiom,
    ? [X9,X10,X11] :
      ( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
      & iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
      & iext(uri_rdf_type,uri_ex_harry,X9)
      & iext(uri_owl_unionOf,X9,X10)
      & iext(uri_rdf_first,X10,uri_ex_Eagle)
      & iext(uri_rdf_rest,X10,X11)
      & iext(uri_rdf_first,X11,uri_ex_Falcon)
      & iext(uri_rdf_rest,X11,uri_rdf_nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.5uptZF4bpC/E---3.1_4127.p',testcase_premise_fullish_014_Harry_belongs_to_some_Species) ).

fof(rdfs_cext_def,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.5uptZF4bpC/E---3.1_4127.p',rdfs_cext_def) ).

fof(testcase_conclusion_fullish_014_Harry_belongs_to_some_Species,conjecture,
    ? [X8] :
      ( iext(uri_rdf_type,uri_ex_harry,X8)
      & iext(uri_rdf_type,X8,uri_ex_Species) ),
    file('/export/starexec/sandbox2/tmp/tmp.5uptZF4bpC/E---3.1_4127.p',testcase_conclusion_fullish_014_Harry_belongs_to_some_Species) ).

fof(c_0_4,plain,
    ! [X15,X16,X17,X18,X19,X20,X21] :
      ( ( ic(X15)
        | ~ iext(uri_owl_unionOf,X15,X16)
        | ~ iext(uri_rdf_first,X16,X17)
        | ~ iext(uri_rdf_rest,X16,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,uri_rdf_nil) )
      & ( ic(X17)
        | ~ iext(uri_owl_unionOf,X15,X16)
        | ~ iext(uri_rdf_first,X16,X17)
        | ~ iext(uri_rdf_rest,X16,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,uri_rdf_nil) )
      & ( ic(X19)
        | ~ iext(uri_owl_unionOf,X15,X16)
        | ~ iext(uri_rdf_first,X16,X17)
        | ~ iext(uri_rdf_rest,X16,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,uri_rdf_nil) )
      & ( ~ icext(X15,X20)
        | icext(X17,X20)
        | icext(X19,X20)
        | ~ iext(uri_owl_unionOf,X15,X16)
        | ~ iext(uri_rdf_first,X16,X17)
        | ~ iext(uri_rdf_rest,X16,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,uri_rdf_nil) )
      & ( ~ icext(X17,X21)
        | icext(X15,X21)
        | ~ iext(uri_owl_unionOf,X15,X16)
        | ~ iext(uri_rdf_first,X16,X17)
        | ~ iext(uri_rdf_rest,X16,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,uri_rdf_nil) )
      & ( ~ icext(X19,X21)
        | icext(X15,X21)
        | ~ iext(uri_owl_unionOf,X15,X16)
        | ~ iext(uri_rdf_first,X16,X17)
        | ~ iext(uri_rdf_rest,X16,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,uri_rdf_nil) )
      & ( ~ icext(X17,esk1_5(X15,X16,X17,X18,X19))
        | ~ icext(X15,esk1_5(X15,X16,X17,X18,X19))
        | ~ ic(X15)
        | ~ ic(X17)
        | ~ ic(X19)
        | iext(uri_owl_unionOf,X15,X16)
        | ~ iext(uri_rdf_first,X16,X17)
        | ~ iext(uri_rdf_rest,X16,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,uri_rdf_nil) )
      & ( ~ icext(X19,esk1_5(X15,X16,X17,X18,X19))
        | ~ icext(X15,esk1_5(X15,X16,X17,X18,X19))
        | ~ ic(X15)
        | ~ ic(X17)
        | ~ ic(X19)
        | iext(uri_owl_unionOf,X15,X16)
        | ~ iext(uri_rdf_first,X16,X17)
        | ~ iext(uri_rdf_rest,X16,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,uri_rdf_nil) )
      & ( icext(X15,esk1_5(X15,X16,X17,X18,X19))
        | icext(X17,esk1_5(X15,X16,X17,X18,X19))
        | icext(X19,esk1_5(X15,X16,X17,X18,X19))
        | ~ ic(X15)
        | ~ ic(X17)
        | ~ ic(X19)
        | iext(uri_owl_unionOf,X15,X16)
        | ~ iext(uri_rdf_first,X16,X17)
        | ~ iext(uri_rdf_rest,X16,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,uri_rdf_nil) ) ),
    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_bool_unionof_class_002])])])])])]) ).

fof(c_0_5,plain,
    ( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
    & iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
    & iext(uri_rdf_type,uri_ex_harry,esk2_0)
    & iext(uri_owl_unionOf,esk2_0,esk3_0)
    & iext(uri_rdf_first,esk3_0,uri_ex_Eagle)
    & iext(uri_rdf_rest,esk3_0,esk4_0)
    & iext(uri_rdf_first,esk4_0,uri_ex_Falcon)
    & iext(uri_rdf_rest,esk4_0,uri_rdf_nil) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species])]) ).

cnf(c_0_6,plain,
    ( icext(X3,X2)
    | icext(X4,X2)
    | ~ icext(X1,X2)
    | ~ iext(uri_owl_unionOf,X1,X5)
    | ~ iext(uri_rdf_first,X5,X3)
    | ~ iext(uri_rdf_rest,X5,X6)
    | ~ iext(uri_rdf_first,X6,X4)
    | ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    iext(uri_rdf_first,esk4_0,uri_ex_Falcon),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    iext(uri_rdf_rest,esk4_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( icext(uri_ex_Falcon,X1)
    | icext(X2,X1)
    | ~ icext(X3,X1)
    | ~ iext(uri_rdf_rest,X4,esk4_0)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_owl_unionOf,X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).

cnf(c_0_10,plain,
    iext(uri_rdf_first,esk3_0,uri_ex_Eagle),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,plain,
    iext(uri_rdf_rest,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_12,plain,
    ! [X13,X14] :
      ( ( ~ iext(uri_rdf_type,X13,X14)
        | icext(X14,X13) )
      & ( ~ icext(X14,X13)
        | iext(uri_rdf_type,X13,X14) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

fof(c_0_13,negated_conjecture,
    ~ ? [X8] :
        ( iext(uri_rdf_type,uri_ex_harry,X8)
        & iext(uri_rdf_type,X8,uri_ex_Species) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_014_Harry_belongs_to_some_Species]) ).

cnf(c_0_14,plain,
    ( icext(uri_ex_Eagle,X1)
    | icext(uri_ex_Falcon,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_unionOf,X2,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).

cnf(c_0_15,plain,
    iext(uri_owl_unionOf,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16,plain,
    ( icext(X2,X1)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    iext(uri_rdf_type,uri_ex_harry,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_18,negated_conjecture,
    ! [X12] :
      ( ~ iext(uri_rdf_type,uri_ex_harry,X12)
      | ~ iext(uri_rdf_type,X12,uri_ex_Species) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).

cnf(c_0_19,plain,
    ( icext(uri_ex_Falcon,X1)
    | icext(uri_ex_Eagle,X1)
    | ~ icext(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,plain,
    icext(esk2_0,uri_ex_harry),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_harry,X1)
    | ~ iext(uri_rdf_type,X1,uri_ex_Species) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_22,plain,
    iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_23,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_24,plain,
    ( icext(uri_ex_Eagle,uri_ex_harry)
    | icext(uri_ex_Falcon,uri_ex_harry) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,plain,
    iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_27,plain,
    icext(uri_ex_Eagle,uri_ex_harry),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle),
    inference(spm,[status(thm)],[c_0_21,c_0_26]) ).

cnf(c_0_29,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_27]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWB014+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 20:23:16 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  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/tmp/tmp.5uptZF4bpC/E---3.1_4127.p
% 0.20/0.51  # Version: 3.1pre001
% 0.20/0.51  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # sh5l with pid 4250 completed with status 0
% 0.20/0.51  # Result found by sh5l
% 0.20/0.51  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.51  # Search class: FGHNF-FFMM33-SFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 181s (1) cores
% 0.20/0.51  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 4258 completed with status 0
% 0.20/0.51  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 0.20/0.51  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.51  # Search class: FGHNF-FFMM33-SFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 181s (1) cores
% 0.20/0.51  # Preprocessing time       : 0.001 s
% 0.20/0.51  # Presaturation interreduction done
% 0.20/0.51  
% 0.20/0.51  # Proof found!
% 0.20/0.51  # SZS status Theorem
% 0.20/0.51  # SZS output start CNFRefutation
% See solution above
% 0.20/0.51  # Parsed axioms                        : 4
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.51  # Initial clauses                      : 20
% 0.20/0.51  # Removed in clause preprocessing      : 0
% 0.20/0.51  # Initial clauses in saturation        : 20
% 0.20/0.51  # Processed clauses                    : 80
% 0.20/0.51  # ...of these trivial                  : 1
% 0.20/0.51  # ...subsumed                          : 4
% 0.20/0.51  # ...remaining for further processing  : 75
% 0.20/0.51  # Other redundant clauses eliminated   : 0
% 0.20/0.51  # Clauses deleted for lack of memory   : 0
% 0.20/0.51  # Backward-subsumed                    : 0
% 0.20/0.51  # Backward-rewritten                   : 4
% 0.20/0.51  # Generated clauses                    : 57
% 0.20/0.51  # ...of the previous two non-redundant : 48
% 0.20/0.51  # ...aggressively subsumed             : 0
% 0.20/0.51  # Contextual simplify-reflections      : 0
% 0.20/0.51  # Paramodulations                      : 57
% 0.20/0.51  # Factorizations                       : 0
% 0.20/0.51  # NegExts                              : 0
% 0.20/0.51  # Equation resolutions                 : 0
% 0.20/0.51  # Total rewrite steps                  : 31
% 0.20/0.51  # Propositional unsat checks           : 0
% 0.20/0.51  #    Propositional check models        : 0
% 0.20/0.51  #    Propositional check unsatisfiable : 0
% 0.20/0.51  #    Propositional clauses             : 0
% 0.20/0.51  #    Propositional clauses after purity: 0
% 0.20/0.51  #    Propositional unsat core size     : 0
% 0.20/0.51  #    Propositional preprocessing time  : 0.000
% 0.20/0.51  #    Propositional encoding time       : 0.000
% 0.20/0.51  #    Propositional solver time         : 0.000
% 0.20/0.51  #    Success case prop preproc time    : 0.000
% 0.20/0.51  #    Success case prop encoding time   : 0.000
% 0.20/0.51  #    Success case prop solver time     : 0.000
% 0.20/0.51  # Current number of processed clauses  : 51
% 0.20/0.51  #    Positive orientable unit clauses  : 15
% 0.20/0.51  #    Positive unorientable unit clauses: 0
% 0.20/0.51  #    Negative unit clauses             : 2
% 0.20/0.51  #    Non-unit-clauses                  : 34
% 0.20/0.51  # Current number of unprocessed clauses: 7
% 0.20/0.51  # ...number of literals in the above   : 56
% 0.20/0.51  # Current number of archived formulas  : 0
% 0.20/0.51  # Current number of archived clauses   : 24
% 0.20/0.51  # Clause-clause subsumption calls (NU) : 598
% 0.20/0.51  # Rec. Clause-clause subsumption calls : 84
% 0.20/0.51  # Non-unit clause-clause subsumptions  : 4
% 0.20/0.51  # Unit Clause-clause subsumption calls : 55
% 0.20/0.51  # Rewrite failures with RHS unbound    : 0
% 0.20/0.51  # BW rewrite match attempts            : 3
% 0.20/0.51  # BW rewrite match successes           : 3
% 0.20/0.51  # Condensation attempts                : 0
% 0.20/0.51  # Condensation successes               : 0
% 0.20/0.51  # Termbank termtop insertions          : 3224
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.010 s
% 0.20/0.51  # System time              : 0.000 s
% 0.20/0.51  # Total time               : 0.011 s
% 0.20/0.51  # Maximum resident set size: 1720 pages
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.012 s
% 0.20/0.51  # System time              : 0.003 s
% 0.20/0.51  # Total time               : 0.014 s
% 0.20/0.51  # Maximum resident set size: 1680 pages
% 0.20/0.51  % E---3.1 exiting
% 0.20/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------