TSTP Solution File: CSR149^2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR149^2 : TPTP v8.1.2. Released v4.1.0.
% 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 : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 07:34:42 EDT 2024

% Result   : Theorem 0.22s 0.54s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   29 (   5 unt;   8 typ;   0 def)
%            Number of atoms       :   84 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  209 (  36   ~;  26   |;  11   &; 131   @)
%                                         (   0 <=>;   5  =>;   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   :   26 (   0   ^  22   !;   4   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_37,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(decl_49,type,
    lBill_THFTYPE_i: $i ).

thf(decl_60,type,
    lMary_THFTYPE_i: $i ).

thf(decl_72,type,
    lSue_THFTYPE_i: $i ).

thf(decl_83,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(decl_87,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_93,type,
    n2009_THFTYPE_i: $i ).

thf(decl_110,type,
    esk1_0: $i ).

thf(ax_022,axiom,
    ! [X20: $i,X21: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ X20 @ ~ X21 )
     => ~ ( holdsDuring_THFTYPE_IiooI @ X20 @ X21 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A431DSBbJc/E---3.1_20915.p',ax_022) ).

thf(con,conjecture,
    ? [X5: $i,X6: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X6 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A431DSBbJc/E---3.1_20915.p',con) ).

thf(ax_004,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ! [X5: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X5 )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A431DSBbJc/E---3.1_20915.p',ax_004) ).

thf(ax_051,axiom,
    ! [X6: $i] : ( holdsDuring_THFTYPE_IiooI @ X6 @ $true ),
    file('/export/starexec/sandbox2/tmp/tmp.A431DSBbJc/E---3.1_20915.p',ax_051) ).

thf(ax_023,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox2/tmp/tmp.A431DSBbJc/E---3.1_20915.p',ax_023) ).

thf(c_0_5,plain,
    ! [X20: $i,X21: $o] :
      ( ( ( X21
          | ( holdsDuring_THFTYPE_IiooI @ X20 @ $true ) )
        & ( ~ X21
          | ( holdsDuring_THFTYPE_IiooI @ X20 @ $false ) ) )
     => ~ ( holdsDuring_THFTYPE_IiooI @ X20 @ X21 ) ),
    inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_022])]) ).

thf(c_0_6,negated_conjecture,
    ~ ? [X5: $i,X6: $i] :
        ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 )
          | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X6 ) @ $true ) )
        & ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 )
          | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X6 ) @ $false ) ) ),
    inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).

thf(c_0_7,axiom,
    ( ( ~ ! [X5: $i] :
            ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X5 )
           => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 ) )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ! [X5: $i] :
          ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X5 )
         => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 ) )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fool_unroll,[status(thm)],[ax_004]) ).

thf(c_0_8,plain,
    ! [X138: $i,X139: $o] :
      ( ( X139
        | ~ X139
        | ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ X139 ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ $false )
        | ~ X139
        | ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ X139 ) )
      & ( X139
        | ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ $true )
        | ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ X139 ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ $true )
        | ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ X139 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).

thf(c_0_9,plain,
    ! [X143: $i] : ( holdsDuring_THFTYPE_IiooI @ X143 @ $true ),
    inference(variable_rename,[status(thm)],[ax_051]) ).

thf(c_0_10,negated_conjecture,
    ! [X132: $i,X133: $i] :
      ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X132 )
        | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X132 ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X133 ) @ $false )
        | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X132 ) )
      & ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X132 )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X133 ) @ $true ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X133 ) @ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X133 ) @ $true ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).

thf(c_0_11,plain,
    ! [X135: $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 @ X135 )
        | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X135 )
        | ( 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_7])])])])])]) ).

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

thf(c_0_13,plain,
    ! [X1: $i] : ( holdsDuring_THFTYPE_IiooI @ X1 @ $true ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_14,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_10]) ).

thf(c_0_15,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_11]) ).

thf(c_0_16,plain,
    ! [X1: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ X1 @ ~ $true ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).

thf(c_0_17,negated_conjecture,
    ! [X1: $i] :
      ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_13])]) ).

thf(c_0_18,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax_023]) ).

thf(c_0_19,plain,
    ! [X1: $i] :
      ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : CSR149^2 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n027.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 15:06:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  Running higher-order theorem proving
% 0.22/0.51  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.A431DSBbJc/E---3.1_20915.p
% 0.22/0.54  # Version: 3.1.0-ho
% 0.22/0.54  # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting new_ho_10 with 1500s (5) cores
% 0.22/0.54  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.22/0.54  # Starting full_lambda_6 with 300s (1) cores
% 0.22/0.54  # Starting full_lambda_9 with 300s (1) cores
% 0.22/0.54  # full_lambda_9 with pid 20999 completed with status 0
% 0.22/0.54  # Result found by full_lambda_9
% 0.22/0.54  # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting new_ho_10 with 1500s (5) cores
% 0.22/0.54  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.22/0.54  # Starting full_lambda_6 with 300s (1) cores
% 0.22/0.54  # Starting full_lambda_9 with 300s (1) cores
% 0.22/0.54  # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.22/0.54  # Search class: HGHSF-FFMM21-SHFFFFBN
% 0.22/0.54  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.54  # Starting new_ho_10 with 163s (1) cores
% 0.22/0.54  # new_ho_10 with pid 21000 completed with status 0
% 0.22/0.54  # Result found by new_ho_10
% 0.22/0.54  # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting new_ho_10 with 1500s (5) cores
% 0.22/0.54  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.22/0.54  # Starting full_lambda_6 with 300s (1) cores
% 0.22/0.54  # Starting full_lambda_9 with 300s (1) cores
% 0.22/0.54  # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.22/0.54  # Search class: HGHSF-FFMM21-SHFFFFBN
% 0.22/0.54  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.54  # Starting new_ho_10 with 163s (1) cores
% 0.22/0.54  # Preprocessing time       : 0.003 s
% 0.22/0.54  # Presaturation interreduction done
% 0.22/0.54  
% 0.22/0.54  # Proof found!
% 0.22/0.54  # SZS status Theorem
% 0.22/0.54  # SZS output start CNFRefutation
% See solution above
% 0.22/0.54  # Parsed axioms                        : 281
% 0.22/0.54  # Removed by relevancy pruning/SinE    : 148
% 0.22/0.54  # Initial clauses                      : 150
% 0.22/0.54  # Removed in clause preprocessing      : 6
% 0.22/0.54  # Initial clauses in saturation        : 144
% 0.22/0.54  # Processed clauses                    : 90
% 0.22/0.54  # ...of these trivial                  : 4
% 0.22/0.54  # ...subsumed                          : 4
% 0.22/0.54  # ...remaining for further processing  : 82
% 0.22/0.54  # Other redundant clauses eliminated   : 0
% 0.22/0.54  # Clauses deleted for lack of memory   : 0
% 0.22/0.54  # Backward-subsumed                    : 0
% 0.22/0.54  # Backward-rewritten                   : 0
% 0.22/0.54  # Generated clauses                    : 1
% 0.22/0.54  # ...of the previous two non-redundant : 0
% 0.22/0.54  # ...aggressively subsumed             : 0
% 0.22/0.54  # Contextual simplify-reflections      : 0
% 0.22/0.54  # Paramodulations                      : 0
% 0.22/0.54  # Factorizations                       : 0
% 0.22/0.54  # NegExts                              : 0
% 0.22/0.54  # Equation resolutions                 : 0
% 0.22/0.54  # Disequality decompositions           : 0
% 0.22/0.54  # Total rewrite steps                  : 9
% 0.22/0.54  # ...of those cached                   : 5
% 0.22/0.54  # Propositional unsat checks           : 0
% 0.22/0.54  #    Propositional check models        : 0
% 0.22/0.54  #    Propositional check unsatisfiable : 0
% 0.22/0.54  #    Propositional clauses             : 0
% 0.22/0.54  #    Propositional clauses after purity: 0
% 0.22/0.54  #    Propositional unsat core size     : 0
% 0.22/0.54  #    Propositional preprocessing time  : 0.000
% 0.22/0.54  #    Propositional encoding time       : 0.000
% 0.22/0.54  #    Propositional solver time         : 0.000
% 0.22/0.54  #    Success case prop preproc time    : 0.000
% 0.22/0.54  #    Success case prop encoding time   : 0.000
% 0.22/0.54  #    Success case prop solver time     : 0.000
% 0.22/0.54  # Current number of processed clauses  : 81
% 0.22/0.54  #    Positive orientable unit clauses  : 74
% 0.22/0.54  #    Positive unorientable unit clauses: 0
% 0.22/0.54  #    Negative unit clauses             : 3
% 0.22/0.54  #    Non-unit-clauses                  : 4
% 0.22/0.54  # Current number of unprocessed clauses: 54
% 0.22/0.54  # ...number of literals in the above   : 110
% 0.22/0.54  # Current number of archived formulas  : 0
% 0.22/0.54  # Current number of archived clauses   : 1
% 0.22/0.54  # Clause-clause subsumption calls (NU) : 9
% 0.22/0.54  # Rec. Clause-clause subsumption calls : 7
% 0.22/0.54  # Non-unit clause-clause subsumptions  : 0
% 0.22/0.54  # Unit Clause-clause subsumption calls : 7
% 0.22/0.54  # Rewrite failures with RHS unbound    : 0
% 0.22/0.54  # BW rewrite match attempts            : 0
% 0.22/0.54  # BW rewrite match successes           : 0
% 0.22/0.54  # Condensation attempts                : 90
% 0.22/0.54  # Condensation successes               : 1
% 0.22/0.54  # Termbank termtop insertions          : 7169
% 0.22/0.54  # Search garbage collected termcells   : 1393
% 0.22/0.54  
% 0.22/0.54  # -------------------------------------------------
% 0.22/0.54  # User time                : 0.012 s
% 0.22/0.54  # System time              : 0.002 s
% 0.22/0.54  # Total time               : 0.014 s
% 0.22/0.54  # Maximum resident set size: 2376 pages
% 0.22/0.54  
% 0.22/0.54  # -------------------------------------------------
% 0.22/0.54  # User time                : 0.018 s
% 0.22/0.54  # System time              : 0.004 s
% 0.22/0.54  # Total time               : 0.022 s
% 0.22/0.54  # Maximum resident set size: 1924 pages
% 0.22/0.54  % E---3.1 exiting
% 0.22/0.54  % E exiting
%------------------------------------------------------------------------------