TSTP Solution File: CSR138^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR138^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 07:34:37 EDT 2024

% Result   : Theorem 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   30 (  15 unt;   9 typ;   0 def)
%            Number of atoms       :   33 (   2 equ;   0 cnn)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :  174 (  36   ~;  31   |;   9   &;  96   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   9 con; 0-2 aty)
%            Number of variables   :   54 (   4   ^  36   !;  14   ?;  54   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    lAnna_THFTYPE_i: $i ).

thf(decl_24,type,
    lBill_THFTYPE_i: $i ).

thf(decl_27,type,
    lSue_THFTYPE_i: $i ).

thf(decl_28,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_29,type,
    parent_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_30,type,
    esk1_0: $i ).

thf(decl_31,type,
    esk2_0: $i ).

thf(decl_32,type,
    esk3_0: $i ).

thf(decl_33,type,
    esk4_0: $i ).

thf(con,conjecture,
    ? [X3: $i > $i > $o,X4: $i > $i > $o,X2: $i] :
      ( ( X4 @ X2 @ lBill_THFTYPE_i )
      & ( X3 @ X2 @ lAnna_THFTYPE_i )
      & ( X4
       != ( ^ [X5: $i,X6: $i] : $true ) )
      & ( X3
       != ( ^ [X5: $i,X6: $i] : $true ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.CyKPFRDRK8/E---3.1_15956.p',con) ).

thf(ax_003,axiom,
    ? [X1: $i,X2: $i] :
      ~ ( likes_THFTYPE_IiioI @ X1 @ X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.CyKPFRDRK8/E---3.1_15956.p',ax_003) ).

thf(ax,axiom,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox2/tmp/tmp.CyKPFRDRK8/E---3.1_15956.p',ax) ).

thf(ax_002,axiom,
    ? [X1: $i,X2: $i] :
      ~ ( parent_THFTYPE_IiioI @ X1 @ X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.CyKPFRDRK8/E---3.1_15956.p',ax_002) ).

thf(ax_007,axiom,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    file('/export/starexec/sandbox2/tmp/tmp.CyKPFRDRK8/E---3.1_15956.p',ax_007) ).

thf(c_0_5,negated_conjecture,
    ~ ? [X3: $i > $i > $o,X4: $i > $i > $o,X2: $i] :
        ( ( X4 @ X2 @ lBill_THFTYPE_i )
        & ( X3 @ X2 @ lAnna_THFTYPE_i )
        & ~ ! [X14: $i,X15: $i] :
              ( ( X4 @ X14 @ X15 )
            <=> $true )
        & ~ ! [X16: $i,X17: $i] :
              ( ( X3 @ X16 @ X17 )
            <=> $true ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])])]) ).

thf(c_0_6,negated_conjecture,
    ! [X18: $i > $i > $o,X19: $i > $i > $o,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( ~ ( X18 @ X23 @ X24 )
        | $true
        | ~ ( X19 @ X21 @ X22 )
        | $true
        | ~ ( X19 @ X20 @ lBill_THFTYPE_i )
        | ~ ( X18 @ X20 @ lAnna_THFTYPE_i ) )
      & ( ~ $true
        | ( X18 @ X23 @ X24 )
        | ~ ( X19 @ X21 @ X22 )
        | $true
        | ~ ( X19 @ X20 @ lBill_THFTYPE_i )
        | ~ ( X18 @ X20 @ lAnna_THFTYPE_i ) )
      & ( ~ ( X18 @ X23 @ X24 )
        | $true
        | ~ $true
        | ( X19 @ X21 @ X22 )
        | ~ ( X19 @ X20 @ lBill_THFTYPE_i )
        | ~ ( X18 @ X20 @ lAnna_THFTYPE_i ) )
      & ( ~ $true
        | ( X18 @ X23 @ X24 )
        | ~ $true
        | ( X19 @ X21 @ X22 )
        | ~ ( X19 @ X20 @ lBill_THFTYPE_i )
        | ~ ( X18 @ X20 @ lAnna_THFTYPE_i ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).

thf(c_0_7,negated_conjecture,
    ! [X1: $i,X2: $i,X5: $i,X4: $i > $i > $o,X3: $i > $i > $o,X6: $i,X9: $i] :
      ( ( X3 @ X1 @ X2 )
      | ( X4 @ X5 @ X6 )
      | ~ $true
      | ~ $true
      | ~ ( X4 @ X9 @ lBill_THFTYPE_i )
      | ~ ( X3 @ X9 @ lAnna_THFTYPE_i ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_8,plain,
    ? [X1: $i,X2: $i] :
      ~ ( likes_THFTYPE_IiioI @ X1 @ X2 ),
    inference(fof_simplification,[status(thm)],[ax_003]) ).

thf(c_0_9,negated_conjecture,
    ! [X1: $i,X2: $i,X5: $i,X4: $i > $i > $o,X3: $i > $i > $o,X6: $i,X9: $i] :
      ( ( X4 @ X5 @ X6 )
      | ( X3 @ X1 @ X2 )
      | ~ ( X4 @ X9 @ lBill_THFTYPE_i )
      | ~ ( X3 @ X9 @ lAnna_THFTYPE_i ) ),
    inference(cn,[status(thm)],[c_0_7]) ).

thf(c_0_10,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax]) ).

thf(c_0_11,plain,
    ? [X1: $i,X2: $i] :
      ~ ( parent_THFTYPE_IiioI @ X1 @ X2 ),
    inference(fof_simplification,[status(thm)],[ax_002]) ).

thf(c_0_12,plain,
    ~ ( likes_THFTYPE_IiioI @ esk3_0 @ esk4_0 ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_8])])]) ).

thf(c_0_13,negated_conjecture,
    ! [X1: $i,X2: $i,X6: $i,X5: $i,X3: $i > $i > $o] :
      ( ( likes_THFTYPE_IiioI @ X1 @ X2 )
      | ( X3 @ X5 @ X6 )
      | ~ ( X3 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

thf(c_0_14,plain,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax_007]) ).

thf(c_0_15,plain,
    ~ ( parent_THFTYPE_IiioI @ esk1_0 @ esk2_0 ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_11])])]) ).

thf(c_0_16,plain,
    ~ ( likes_THFTYPE_IiioI @ esk3_0 @ esk4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

thf(c_0_17,negated_conjecture,
    ! [X1: $i,X2: $i,X5: $i,X6: $i] :
      ( ( parent_THFTYPE_IiioI @ X1 @ X2 )
      | ( likes_THFTYPE_IiioI @ X5 @ X6 ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

thf(c_0_18,plain,
    ~ ( parent_THFTYPE_IiioI @ esk1_0 @ esk2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_19,negated_conjecture,
    ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

thf(c_0_20,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CSR138^1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 15:08:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.20/0.48  Running higher-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --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.CyKPFRDRK8/E---3.1_15956.p
% 0.20/0.49  # Version: 3.1.0-ho
% 0.20/0.49  # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting post_as_ho1 with 1500s (5) cores
% 0.20/0.49  # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.49  # Starting new_ho_3 with 300s (1) cores
% 0.20/0.49  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.49  # new_ho_3 with pid 16037 completed with status 0
% 0.20/0.49  # Result found by new_ho_3
% 0.20/0.49  # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting post_as_ho1 with 1500s (5) cores
% 0.20/0.49  # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.49  # Starting new_ho_3 with 300s (1) cores
% 0.20/0.49  # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.20/0.49  # Search class: HGUNF-FFSM00-SSSFFSBN
% 0.20/0.49  # partial match(1): HGUNF-FFSF00-SSSFFSBN
% 0.20/0.49  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting sh3 with 163s (1) cores
% 0.20/0.49  # sh3 with pid 16041 completed with status 0
% 0.20/0.49  # Result found by sh3
% 0.20/0.49  # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting post_as_ho1 with 1500s (5) cores
% 0.20/0.49  # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.49  # Starting new_ho_3 with 300s (1) cores
% 0.20/0.49  # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.20/0.49  # Search class: HGUNF-FFSM00-SSSFFSBN
% 0.20/0.49  # partial match(1): HGUNF-FFSF00-SSSFFSBN
% 0.20/0.49  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting sh3 with 163s (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                        : 19
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 9
% 0.20/0.49  # Initial clauses                      : 13
% 0.20/0.49  # Removed in clause preprocessing      : 3
% 0.20/0.49  # Initial clauses in saturation        : 10
% 0.20/0.49  # Processed clauses                    : 24
% 0.20/0.49  # ...of these trivial                  : 0
% 0.20/0.49  # ...subsumed                          : 0
% 0.20/0.49  # ...remaining for further processing  : 24
% 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                    : 1
% 0.20/0.49  # Backward-rewritten                   : 5
% 0.20/0.49  # Generated clauses                    : 16
% 0.20/0.49  # ...of the previous two non-redundant : 13
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 0
% 0.20/0.49  # Paramodulations                      : 16
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 0
% 0.20/0.49  # Disequality decompositions           : 0
% 0.20/0.49  # Total rewrite steps                  : 5
% 0.20/0.49  # ...of those cached                   : 0
% 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  : 8
% 0.20/0.49  #    Positive orientable unit clauses  : 4
% 0.20/0.49  #    Positive unorientable unit clauses: 0
% 0.20/0.49  #    Negative unit clauses             : 1
% 0.20/0.49  #    Non-unit-clauses                  : 3
% 0.20/0.49  # Current number of unprocessed clauses: 9
% 0.20/0.49  # ...number of literals in the above   : 26
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 16
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 2
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 2
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.49  # Unit Clause-clause subsumption calls : 1
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 6
% 0.20/0.49  # BW rewrite match successes           : 6
% 0.20/0.49  # Condensation attempts                : 0
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 986
% 0.20/0.49  # Search garbage collected termcells   : 179
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.004 s
% 0.20/0.49  # System time              : 0.003 s
% 0.20/0.49  # Total time               : 0.007 s
% 0.20/0.49  # Maximum resident set size: 1760 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.007 s
% 0.20/0.49  # System time              : 0.003 s
% 0.20/0.49  # Total time               : 0.010 s
% 0.20/0.49  # Maximum resident set size: 1772 pages
% 0.20/0.49  % E---3.1 exiting
% 0.20/0.49  % E exiting
%------------------------------------------------------------------------------