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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---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 : 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 19:37:49 EDT 2023

% Result   : Theorem 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   32 (  13 unt;   0 def)
%            Number of atoms       :  164 (   0 equ)
%            Maximal formula atoms :   71 (   5 avg)
%            Number of connectives :  222 (  90   ~;  97   |;  31   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   5 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   :   49 (   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.9YUjGKVBWa/E---3.1_2605.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.9YUjGKVBWa/E---3.1_2605.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.9YUjGKVBWa/E---3.1_2605.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.9YUjGKVBWa/E---3.1_2605.p',testcase_conclusion_fullish_014_Harry_belongs_to_some_Species) ).

fof(c_0_4,plain,
    ! [X14,X15,X16,X17,X18,X19,X20] :
      ( ( ic(X14)
        | ~ iext(uri_owl_unionOf,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
      & ( ic(X16)
        | ~ iext(uri_owl_unionOf,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
      & ( ic(X18)
        | ~ iext(uri_owl_unionOf,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
      & ( ~ icext(X14,X19)
        | icext(X16,X19)
        | icext(X18,X19)
        | ~ iext(uri_owl_unionOf,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
      & ( ~ icext(X16,X20)
        | icext(X14,X20)
        | ~ iext(uri_owl_unionOf,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
      & ( ~ icext(X18,X20)
        | icext(X14,X20)
        | ~ iext(uri_owl_unionOf,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
      & ( ~ icext(X16,esk1_5(X14,X15,X16,X17,X18))
        | ~ icext(X14,esk1_5(X14,X15,X16,X17,X18))
        | ~ ic(X14)
        | ~ ic(X16)
        | ~ ic(X18)
        | iext(uri_owl_unionOf,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
      & ( ~ icext(X18,esk1_5(X14,X15,X16,X17,X18))
        | ~ icext(X14,esk1_5(X14,X15,X16,X17,X18))
        | ~ ic(X14)
        | ~ ic(X16)
        | ~ ic(X18)
        | iext(uri_owl_unionOf,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
      & ( icext(X14,esk1_5(X14,X15,X16,X17,X18))
        | icext(X16,esk1_5(X14,X15,X16,X17,X18))
        | icext(X18,esk1_5(X14,X15,X16,X17,X18))
        | ~ ic(X14)
        | ~ ic(X16)
        | ~ ic(X18)
        | iext(uri_owl_unionOf,X14,X15)
        | ~ iext(uri_rdf_first,X15,X16)
        | ~ iext(uri_rdf_rest,X15,X17)
        | ~ iext(uri_rdf_first,X17,X18)
        | ~ iext(uri_rdf_rest,X17,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_rest,esk4_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( icext(X1,X2)
    | icext(X3,X2)
    | ~ icext(X4,X2)
    | ~ iext(uri_rdf_first,esk4_0,X3)
    | ~ iext(uri_rdf_rest,X5,esk4_0)
    | ~ iext(uri_rdf_first,X5,X1)
    | ~ iext(uri_owl_unionOf,X4,X5) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,plain,
    iext(uri_rdf_first,esk4_0,uri_ex_Falcon),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,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(spm,[status(thm)],[c_0_8,c_0_9]) ).

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

cnf(c_0_12,plain,
    ( icext(uri_ex_Falcon,X1)
    | icext(X2,X1)
    | ~ icext(X3,X1)
    | ~ iext(uri_rdf_first,esk3_0,X2)
    | ~ iext(uri_owl_unionOf,X3,esk3_0) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,plain,
    iext(uri_rdf_first,esk3_0,uri_ex_Eagle),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_14,plain,
    ! [X12,X13] :
      ( ( ~ iext(uri_rdf_type,X12,X13)
        | icext(X13,X12) )
      & ( ~ icext(X13,X12)
        | iext(uri_rdf_type,X12,X13) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

fof(c_0_15,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_16,plain,
    ( icext(uri_ex_Eagle,X1)
    | icext(uri_ex_Falcon,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_unionOf,X2,esk3_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    iext(uri_owl_unionOf,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_18,plain,
    ( icext(X2,X1)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    iext(uri_rdf_type,uri_ex_harry,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_20,negated_conjecture,
    ! [X22] :
      ( ~ iext(uri_rdf_type,uri_ex_harry,X22)
      | ~ iext(uri_rdf_type,X22,uri_ex_Species) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).

cnf(c_0_21,plain,
    ( icext(uri_ex_Falcon,X1)
    | icext(uri_ex_Eagle,X1)
    | ~ icext(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,plain,
    icext(esk2_0,uri_ex_harry),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_23,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_20]) ).

cnf(c_0_24,plain,
    iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_25,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_26,plain,
    ( icext(uri_ex_Eagle,uri_ex_harry)
    | icext(uri_ex_Falcon,uri_ex_harry) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,plain,
    iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_29,plain,
    icext(uri_ex_Eagle,uri_ex_harry),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_30,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle),
    inference(spm,[status(thm)],[c_0_23,c_0_28]) ).

cnf(c_0_31,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_29]),c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWB014+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 20:49:30 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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.9YUjGKVBWa/E---3.1_2605.p
% 0.20/0.49  # Version: 3.1pre001
% 0.20/0.49  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49  # Starting sh5l with 300s (1) cores
% 0.20/0.49  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2728 completed with status 0
% 0.20/0.49  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.20/0.49  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.49  # No SInE strategy applied
% 0.20/0.49  # Search class: FGHNF-FFMM33-SFFFFFNN
% 0.20/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 0.20/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.20/0.49  # Starting new_bool_3 with 136s (1) cores
% 0.20/0.49  # Starting new_bool_1 with 136s (1) cores
% 0.20/0.49  # Starting sh5l with 136s (1) cores
% 0.20/0.49  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2736 completed with status 0
% 0.20/0.49  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.20/0.49  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.49  # No SInE strategy applied
% 0.20/0.49  # Search class: FGHNF-FFMM33-SFFFFFNN
% 0.20/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 0.20/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.20/0.49  # Preprocessing time       : 0.001 s
% 0.20/0.49  # Presaturation interreduction done
% 0.20/0.49  
% 0.20/0.49  # Proof found!
% 0.20/0.49  # SZS status Theorem
% 0.20/0.49  # SZS output start CNFRefutation
% See solution above
% 0.20/0.49  # Parsed axioms                        : 4
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.49  # Initial clauses                      : 20
% 0.20/0.49  # Removed in clause preprocessing      : 0
% 0.20/0.49  # Initial clauses in saturation        : 20
% 0.20/0.49  # Processed clauses                    : 74
% 0.20/0.49  # ...of these trivial                  : 0
% 0.20/0.49  # ...subsumed                          : 0
% 0.20/0.49  # ...remaining for further processing  : 74
% 0.20/0.49  # Other redundant clauses eliminated   : 0
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 5
% 0.20/0.49  # Backward-rewritten                   : 4
% 0.20/0.49  # Generated clauses                    : 43
% 0.20/0.49  # ...of the previous two non-redundant : 38
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 0
% 0.20/0.49  # Paramodulations                      : 43
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 0
% 0.20/0.49  # Total rewrite steps                  : 8
% 0.20/0.49  # Propositional unsat checks           : 0
% 0.20/0.49  #    Propositional check models        : 0
% 0.20/0.49  #    Propositional check unsatisfiable : 0
% 0.20/0.49  #    Propositional clauses             : 0
% 0.20/0.49  #    Propositional clauses after purity: 0
% 0.20/0.49  #    Propositional unsat core size     : 0
% 0.20/0.49  #    Propositional preprocessing time  : 0.000
% 0.20/0.49  #    Propositional encoding time       : 0.000
% 0.20/0.49  #    Propositional solver time         : 0.000
% 0.20/0.49  #    Success case prop preproc time    : 0.000
% 0.20/0.49  #    Success case prop encoding time   : 0.000
% 0.20/0.49  #    Success case prop solver time     : 0.000
% 0.20/0.49  # Current number of processed clauses  : 45
% 0.20/0.49  #    Positive orientable unit clauses  : 15
% 0.20/0.49  #    Positive unorientable unit clauses: 0
% 0.20/0.49  #    Negative unit clauses             : 2
% 0.20/0.49  #    Non-unit-clauses                  : 28
% 0.20/0.49  # Current number of unprocessed clauses: 4
% 0.20/0.49  # ...number of literals in the above   : 31
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 29
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 445
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 79
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 5
% 0.20/0.49  # Unit Clause-clause subsumption calls : 61
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 3
% 0.20/0.49  # BW rewrite match successes           : 3
% 0.20/0.49  # Condensation attempts                : 0
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 2887
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.006 s
% 0.20/0.49  # System time              : 0.002 s
% 0.20/0.49  # Total time               : 0.008 s
% 0.20/0.49  # Maximum resident set size: 1768 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.022 s
% 0.20/0.49  # System time              : 0.007 s
% 0.20/0.49  # Total time               : 0.029 s
% 0.20/0.49  # Maximum resident set size: 1680 pages
% 0.20/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------