TSTP Solution File: CSR149^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR149^1 : 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 07:34:42 EDT 2024

% Result   : Theorem 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   26 (   5 unt;   8 typ;   0 def)
%            Number of atoms       :   65 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  156 (  22   ~;  16   |;   7   &; 108   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^  16   !;   4   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(decl_23,type,
    lBill_THFTYPE_i: $i ).

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

thf(decl_25,type,
    lSue_THFTYPE_i: $i ).

thf(decl_26,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(decl_27,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_28,type,
    n2009_THFTYPE_i: $i ).

thf(decl_29,type,
    esk1_0: $i ).

thf(con,conjecture,
    ? [X2: $i,X1: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.KUvVxRE7T1/E---3.1_27934.p',con) ).

thf(ax_002,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ! [X2: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2 )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.KUvVxRE7T1/E---3.1_27934.p',ax_002) ).

thf(ax_001,axiom,
    ! [X1: $i] : ( holdsDuring_THFTYPE_IiooI @ X1 @ $true ),
    file('/export/starexec/sandbox/tmp/tmp.KUvVxRE7T1/E---3.1_27934.p',ax_001) ).

thf(ax,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox/tmp/tmp.KUvVxRE7T1/E---3.1_27934.p',ax) ).

thf(c_0_4,negated_conjecture,
    ~ ? [X2: $i,X1: $i] :
        ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 )
          | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ $true ) )
        & ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 )
          | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ $false ) ) ),
    inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).

thf(c_0_5,axiom,
    ( ( ~ ! [X2: $i] :
            ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2 )
           => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 ) )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ! [X2: $i] :
          ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X2 )
         => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 ) )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fool_unroll,[status(thm)],[ax_002]) ).

thf(c_0_6,negated_conjecture,
    ! [X9: $i,X10: $i] :
      ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X9 )
        | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X9 ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X10 ) @ $false )
        | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X9 ) )
      & ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X9 )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X10 ) @ $true ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X10 ) @ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X10 ) @ $true ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).

thf(c_0_7,plain,
    ! [X6: $i] : ( holdsDuring_THFTYPE_IiooI @ X6 @ $true ),
    inference(variable_rename,[status(thm)],[ax_001]) ).

thf(c_0_8,plain,
    ! [X8: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ esk1_0 )
        | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
      & ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ esk1_0 )
        | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
      & ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X8 )
        | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X8 )
        | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).

thf(c_0_9,negated_conjecture,
    ! [X1: $i] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ~ $true )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_10,plain,
    ! [X1: $i] : ( holdsDuring_THFTYPE_IiooI @ X1 @ $true ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_11,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X2 ) @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_12,plain,
    ! [X1: $i] :
      ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
      | ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_13,negated_conjecture,
    ! [X1: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ~ $true ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).

thf(c_0_14,negated_conjecture,
    ! [X1: $i] :
      ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_10])]) ).

thf(c_0_15,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax]) ).

thf(c_0_16,plain,
    ! [X1: $i] :
      ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).

thf(c_0_17,plain,
    $false,
    inference(sr,[status(thm)],[c_0_15,c_0_16]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : CSR149^1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n014.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 15:13:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  Running higher-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.KUvVxRE7T1/E---3.1_27934.p
% 0.21/0.50  # Version: 3.1.0-ho
% 0.21/0.50  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.50  # Starting ho_unfolding_6 with 300s (1) cores
% 0.21/0.50  # Starting sh4l with 300s (1) cores
% 0.21/0.50  # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.21/0.50  # sh4l with pid 28014 completed with status 0
% 0.21/0.50  # Result found by sh4l
% 0.21/0.50  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.50  # Starting ho_unfolding_6 with 300s (1) cores
% 0.21/0.50  # Starting sh4l with 300s (1) cores
% 0.21/0.50  # No SInE strategy applied
% 0.21/0.50  # Search class: HGHNF-FFSF11-SFFFFFNN
% 0.21/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting new_ho_10 with 163s (1) cores
% 0.21/0.50  # new_ho_10 with pid 28019 completed with status 0
% 0.21/0.50  # Result found by new_ho_10
% 0.21/0.50  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.50  # Starting ho_unfolding_6 with 300s (1) cores
% 0.21/0.50  # Starting sh4l with 300s (1) cores
% 0.21/0.50  # No SInE strategy applied
% 0.21/0.50  # Search class: HGHNF-FFSF11-SFFFFFNN
% 0.21/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting new_ho_10 with 163s (1) cores
% 0.21/0.50  # Preprocessing time       : 0.001 s
% 0.21/0.50  # Presaturation interreduction done
% 0.21/0.50  
% 0.21/0.50  # Proof found!
% 0.21/0.50  # SZS status Theorem
% 0.21/0.50  # SZS output start CNFRefutation
% See solution above
% 0.21/0.50  # Parsed axioms                        : 12
% 0.21/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.50  # Initial clauses                      : 17
% 0.21/0.50  # Removed in clause preprocessing      : 9
% 0.21/0.50  # Initial clauses in saturation        : 8
% 0.21/0.50  # Processed clauses                    : 8
% 0.21/0.50  # ...of these trivial                  : 1
% 0.21/0.50  # ...subsumed                          : 1
% 0.21/0.50  # ...remaining for further processing  : 6
% 0.21/0.50  # Other redundant clauses eliminated   : 0
% 0.21/0.50  # Clauses deleted for lack of memory   : 0
% 0.21/0.50  # Backward-subsumed                    : 0
% 0.21/0.50  # Backward-rewritten                   : 1
% 0.21/0.50  # Generated clauses                    : 1
% 0.21/0.50  # ...of the previous two non-redundant : 0
% 0.21/0.50  # ...aggressively subsumed             : 0
% 0.21/0.50  # Contextual simplify-reflections      : 0
% 0.21/0.50  # Paramodulations                      : 0
% 0.21/0.50  # Factorizations                       : 0
% 0.21/0.50  # NegExts                              : 0
% 0.21/0.50  # Equation resolutions                 : 0
% 0.21/0.50  # Disequality decompositions           : 0
% 0.21/0.50  # Total rewrite steps                  : 4
% 0.21/0.50  # ...of those cached                   : 1
% 0.21/0.50  # Propositional unsat checks           : 0
% 0.21/0.50  #    Propositional check models        : 0
% 0.21/0.50  #    Propositional check unsatisfiable : 0
% 0.21/0.50  #    Propositional clauses             : 0
% 0.21/0.50  #    Propositional clauses after purity: 0
% 0.21/0.50  #    Propositional unsat core size     : 0
% 0.21/0.50  #    Propositional preprocessing time  : 0.000
% 0.21/0.50  #    Propositional encoding time       : 0.000
% 0.21/0.50  #    Propositional solver time         : 0.000
% 0.21/0.50  #    Success case prop preproc time    : 0.000
% 0.21/0.50  #    Success case prop encoding time   : 0.000
% 0.21/0.50  #    Success case prop solver time     : 0.000
% 0.21/0.50  # Current number of processed clauses  : 4
% 0.21/0.50  #    Positive orientable unit clauses  : 1
% 0.21/0.50  #    Positive unorientable unit clauses: 0
% 0.21/0.50  #    Negative unit clauses             : 3
% 0.21/0.50  #    Non-unit-clauses                  : 0
% 0.21/0.50  # Current number of unprocessed clauses: 0
% 0.21/0.50  # ...number of literals in the above   : 0
% 0.21/0.50  # Current number of archived formulas  : 0
% 0.21/0.50  # Current number of archived clauses   : 2
% 0.21/0.50  # Clause-clause subsumption calls (NU) : 0
% 0.21/0.50  # Rec. Clause-clause subsumption calls : 0
% 0.21/0.50  # Non-unit clause-clause subsumptions  : 0
% 0.21/0.50  # Unit Clause-clause subsumption calls : 1
% 0.21/0.50  # Rewrite failures with RHS unbound    : 0
% 0.21/0.50  # BW rewrite match attempts            : 1
% 0.21/0.50  # BW rewrite match successes           : 1
% 0.21/0.50  # Condensation attempts                : 8
% 0.21/0.50  # Condensation successes               : 0
% 0.21/0.50  # Termbank termtop insertions          : 622
% 0.21/0.50  # Search garbage collected termcells   : 94
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.005 s
% 0.21/0.50  # System time              : 0.000 s
% 0.21/0.50  # Total time               : 0.005 s
% 0.21/0.50  # Maximum resident set size: 1604 pages
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.005 s
% 0.21/0.50  # System time              : 0.003 s
% 0.21/0.50  # Total time               : 0.008 s
% 0.21/0.50  # Maximum resident set size: 1704 pages
% 0.21/0.50  % E---3.1 exiting
% 0.21/0.50  % E exiting
%------------------------------------------------------------------------------